{"data":[{"name":"Protein-protein interaction","means":[[30.782308134624486,27.566082485307565,24.377256385577297,21.245207419272393,17.69398230747436,22.92826521310927,21.33255550408341,24.606066716806275,26.074108407950533,24.34365363259262,27.81979167686814,29.96839044688251,25.360789528883547,25.644384276969095,28.977551367976233,28.112984172091277,24.076685134497563,26.56249658859335,26.02526907236496,26.294924384526304,28.23187908518291,29.080222718100664,29.917566323294867,27.634310163761416,24.867024552557243,23.445125699077515,21.38228192469477,20.490071949711997,23.969502555502057,25.87534741743543,31.72630171992373,30.977820121994743,35.556305421155066,37.05218512158751,32.993702744839034,29.772982375138827,28.255020900774756,24.804037319373254,21.956937853263536,24.828530169244083,21.141466845296645,24.889607542509758,28.257279725806658,26.24374078127771,26.438719495406023,24.71301763191568,28.875604358711552,29.25404440334229,25.24165053844479,28.88281824951647,32.434202839506185,33.21024885342942,35.6045004354387,31.345303777839316,34.195955689434804,38.06502139339421,35.905820578618865,33.83041342799973,38.40466132756904,40.10902775983621,35.89322201266552,38.61070805594013,38.42748680264019,38.78731066896073,34.726762077262826,32.92817604371648,32.17184028552531,31.291279864778076,30.179563940371192,30.99803389976457,30.418379323940652,33.884541534018375,34.93046649776011,35.38106510291945,34.87011957256787,40.074607748480304,36.414330403384454,39.99393398408369,37.00059301863144,35.755673858961636,33.732936721784014,30.677840793270807,29.981776498573325,27.832274356590844,23.903860820075383,25.862094119337225,28.173206765197744,31.46810779144567,31.79896714618591,37.25299728177865,36.30904975474023,40.58326871829677,38.897273788794,38.0416714631081,34.298393037886036,36.987534783934386,33.68673391211245,34.26139201349799,32.57376208901035,35.36002553611535,32.30864003241066,31.068267511668306,28.954044385023735,26.895413205628063,24.973613738371206,22.18117860041303,23.74094674157086,20.519046688029338,19.71952706237171,22.2579146237744,20.182598658056097,18.010397011479323,19.458252783580182,16.076621302735195,19.04964146082315,16.125422212998306,18.249103367630223,17.350687191429884,21.731490122981754,23.133180909960423,22.33054101208256,21.77001076835572,17.96913252296176,17.49909717395573,18.266953861890286,13.797734737949792,16.828151674655615,14.54858120375818,15.21139522660335,16.49613474179706,14.00012883662124,17.655537557012806,15.135336832801498,18.18612228779098,12.359698115106598,10.959215912116399,8.335558340350932,6.744635252043105,7.239229730289026,9.60155550213566,10.811996830466422,12.955793671760942,15.278076440890082,14.039103864340927,16.645743075481196,18.63110156787458,16.72061427029724,19.599164378338035,19.94283366010546,22.24520080517075,24.284176032096074,28.15000383049587,31.731736905012635,35.61171617851193,34.93767526424546,32.27298014879267,28.77634438403512,27.064909703290905,25.589051557260436,22.074714935353718,17.338152833522226,19.753371375703612,14.059619342078856,17.351874401484963,13.641388258473745,8.594490674727975,10.75263185388811,10.906665496525546,8.830364779394074,5.644116850301751,7.700268841175802,8.620585916377932,13.367480979925666,16.87012614456437,20.286148366606668,23.682069832339952,24.928734650095056,28.50268139385771,24.790663235716043,25.10703369166612,20.05865134985039,19.823966369751894,19.970222559480252,20.144061067803058,17.216924175785916,20.131980480374075,20.446827267950553,22.607007247280777,19.658845626086784,20.262642332588875,18.618349139083964,17.782085008147636,15.880094581259527,14.452771765861009,15.69107319686998,16.761104881731203,14.017179344381178,17.788697913251244,18.610020168615588,19.60695146368874,23.947164699029916,24.991295630555328,21.70651890573257,22.821959784777025,27.06971423332386,25.91726375424872,23.10855964091642,27.244475660033665,30.95403757662025,28.12347257808726,29.099372005786947,32.77156668111787,32.43799857070609,30.77243060982336,33.73995518087975,31.12653000410054,35.76655587045436,31.646740257903573,31.022584181073647,34.87087018849609,36.404005055389504,41.13688458747043,39.783293492933154,40.24092921907189,36.70435145881886,37.38767464391468,34.032614925640836,35.87859907325207,35.96581173156977,29.9880547731385,30.540517790883253,32.80410389721481,29.54141404319719,26.23769694899369,26.783282556949327,27.627932692768272,24.939803348330745,20.453296299937662,22.028347516286487,22.85873867073388,26.607446932252063,29.15311410305935,31.116882497725783,35.57431295044953,32.57201617900242,28.978053540743534,33.91129665745491,34.80504999939217,30.156913313960914,30.79319894699305,35.079651681504885,34.70578882912741,32.246756695693094,36.20355436759882,38.51094280322727,36.22338668936445,36.42859708822312,39.36899703890369,36.71782532941734,37.17526475223634,34.0733489745706,36.154119837932264,37.01588989872287,31.656767301101183,31.668842916581674,33.80252420374889,32.08457166449054,27.718136467363966,31.86360376455126,32.73371993840183,27.70513440699783,26.31413310795849,31.12169989525255,31.003492924979547,27.5036627444407,25.116864038919946,28.014825857773136,26.56496053273611,29.953924407080397,26.7084913546376,25.711156898425255,25.207521286310964,24.382058401676726,21.854669575550936,21.57612304564807,18.628727019215482,20.13337819719019,17.578642718909318,17.099306494462112,15.529809163152514,21.23605287541783,23.64809893595344,27.471323910101205,26.972794528168937,23.485578166539188,27.772906500424607,29.943034956754754,25.99887040446704,27.217849957409747,31.793239191680247,34.174888745236146,33.872183167542524,36.23997758456749,37.723354136150824],[27.70183920031961,24.500708135528427,21.5023432790816,17.9437638123422,14.800080186430039,19.881097573548175,18.473852464496282,22.100212938674257,23.331434779580366,21.82137787540379,25.410037806763935,27.74817576015261,23.446687381016908,23.414580162939885,27.1604561630314,26.60249818173013,22.695298320412988,25.616327170657872,25.435799042179045,26.171030965237666,28.370906206995684,29.69876911099508,30.562863929809783,28.44275851510811,25.624694125519913,23.62040181859337,21.51826206894384,19.9842137730026,23.28201093173791,24.968025869747112,30.644627417373474,29.93151047102915,34.50547453736611,36.34261763670801,32.455980637760646,29.342133039102205,27.873014741854764,24.924572021214544,22.41454741382655,26.02235494627371,22.38367401338217,25.612070603902396,29.319209131310593,27.659842300528453,28.222621989675904,26.84025339303947,31.067153204451383,31.062402336375893,27.10610240623708,31.14123979540159,34.40115740224416,35.14716750745156,37.34856966901364,32.853088259789665,35.46509406647214,39.47599326544361,37.37073125768236,34.888577083593844,39.39081855487028,41.39550806216704,36.94112439720584,39.303848654515676,38.78259993550884,39.22564516117273,35.390460492993746,33.32712953957497,32.108002112458145,30.83660997394668,29.38980358100789,29.777441033736594,29.111620863354656,32.516616206977126,33.758156954142756,34.664361847416586,34.130608127796876,39.62841759475395,36.302967067702376,39.841863114421216,37.10615676633882,36.24918007600455,34.17501954601238,31.50638689858058,30.489043281403443,28.772627600687347,24.915509371445555,26.313721607910214,28.61661032009124,31.569045443469875,31.779531400449194,36.97599219297772,35.76662176004626,39.91975460999048,37.93715743159243,36.89147247878963,32.8946904158083,35.33531240366944,31.797766261137397,32.697197261142406,30.85303830424357,33.605959571178566,31.08229199977071,29.855854286604448,28.24717710102556,26.11726487915581,24.939884306229693,21.637806904771097,23.451628922305925,20.365734376217134,18.842352799170623,21.226727815724118,18.462177475573366,16.505946433128035,17.306684511188724,14.103181332993417,17.073608228786927,14.220674506768582,16.910443457963574,16.366416992343684,21.015785074108216,22.005043361522077,20.751658005125137,19.778609268578183,15.730389358149266,14.940815863294812,15.448616128129883,11.185885660431811,14.302182898474666,12.708996560130732,13.985838376868152,16.246306470535195,13.911331255821331,18.146291086592463,16.307277200320314,18.969929953798353,13.18570299415025,10.731470941463028,7.812725559653162,5.338243123161377,5.387686578115415,8.826868502316758,10.333962159977228,13.465137843331108,15.337172003355931,13.692911523857752,16.924068204076335,18.26513234933028,15.88171574330903,18.40118531562494,18.65107395404455,20.337807565560446,22.472707828979804,26.00593689060581,29.88260226311572,33.35638607394676,32.844349372624734,30.514544383983036,27.066387302535396,25.608478721461143,24.368989088072432,21.141828031847187,16.876205913480984,19.574310122791704,14.175561676628723,18.130749446164085,15.210746669377011,10.593307756870484,13.058410334359683,13.775972856196198,11.459540109429534,7.889157223892317,9.310352036185845,9.33106430561846,14.363099589547495,17.518317947168917,20.655794953099267,23.769727354156906,24.59127236506669,28.619200980361416,25.353106463760266,25.77489212472165,21.16847564785106,20.19038772389843,21.23887715369053,21.94264547489676,18.981309715431284,22.05802771363676,22.09104964514094,24.845320120279155,22.148557023577748,22.917155479568823,21.464411534124125,20.280716030267783,18.475412433291204,16.685935446951284,17.60344321330401,18.40172922830518,14.925329725233183,18.290697079988863,18.371600285147032,18.988174810518657,23.29998666685176,23.982821564491996,20.362991210977636,21.48987432330726,25.747560900745327,24.094421360759032,21.032161448517382,25.447526314130993,29.09006270290173,25.729515841428874,26.742664275075427,30.51368090893463,29.907530522203377,28.028458773520708,31.20438756114162,28.745357830686565,33.59286567025213,29.829762489676668,29.298445385707286,33.20186651444658,35.19855090389322,39.831300148050154,38.927172492480615,39.501289033713796,36.106848879597116,37.05353386339585,33.72833762557721,36.0006973948154,35.90513945251417,29.725716869335464,30.707160222068367,33.240742321745046,29.72394600042995,26.49331112419485,27.577093697417876,28.280759037761356,25.158592663951207,21.167556885593026,21.880709928211772,23.03151075975984,26.80501954284882,28.826904332339765,30.85593626172404,35.11277885803941,32.04205287873671,28.31302628332818,32.95325457621945,33.75037371176426,28.927035612856717,29.372226035910156,33.50417534559767,32.891490762240956,30.288302547158267,34.46278991705895,36.57029831355953,33.95684003363847,34.33392698025183,37.47854244495877,34.96796254617598,35.75954952490144,32.86402271250807,35.24876680753005,35.778218585201266,30.2267004334885,30.7807681678397,32.877741107427966,30.867625017700924,26.774404485854514,31.378070316138448,31.9175548841612,26.64960108151756,25.84150932842186,30.815558703735334,30.32244067042671,26.623628762282035,23.715107043699934,26.899358787137114,24.93228941186605,28.19313338960257,24.488180672624875,23.56588453256819,22.586223550185967,21.69766785546724,19.461106410997516,19.638766231928365,16.83214434958902,18.654740010709606,15.646904760181787,15.878049582872462,13.6748700851761,19.04398877811963,21.769698323012406,25.53755820673798,24.980266379047954,21.10020699269977,25.29471939425129,27.417959127958703,23.31013638751481,24.27364980402566,28.928082723654587,31.28289308876077,31.08282998490232,33.551943817587016,35.10676755012786],[24.948897987783177,21.935941003673516,19.64109099834436,15.023163132211806,13.45223643727205,17.709985402336024,16.681742466007528,20.88021092556875,21.30036508911924,19.938915121396896,23.52802769979155,26.37085041106384,22.547134626414362,21.62481156986438,25.931361282614013,26.007157704687312,22.212581818387306,25.431266902190213,25.351981824303607,26.923080980511713,29.15401222791828,31.13921059280823,31.756643628683307,29.71671061080874,27.126089234538536,24.44628848107036,22.70358040262047,20.56196497958033,23.737199347444378,25.38309430621304,30.4130560241437,30.14738659453254,34.59349841319013,36.71552763690779,33.183887310602145,30.09071460700199,29.028193240124377,26.476844759190104,24.460160022518053,28.91221556179829,25.023735729168887,27.46814290987437,31.544113324048237,30.434331032952617,31.215564964868793,30.307100349444706,34.518674707629465,34.216470762131244,30.556275945317473,34.981372480261065,37.937637631999934,38.82349930934927,40.74827034549581,35.89645952129638,38.41745791488513,42.418984450981924,40.18719752445368,37.315266222683185,41.74366398140337,43.92070293418874,39.07039183438757,40.90455675864681,40.045022184894975,40.310328928436164,36.848862388080214,34.649805370932185,32.60424393114798,31.02614498238438,28.883526576188412,28.83202455532755,27.832342449285374,30.948035902063797,32.69338461879938,34.147341642697235,33.90578671340349,39.741778925788026,37.02012631326665,40.62255241211258,38.3358388242808,37.989198053714965,36.129282162315526,34.01173555245554,32.90656155522484,31.7565418327192,27.909500440771446,28.57310736953599,30.536565062910267,33.227845547653395,32.941634194748296,37.839481734493695,36.11045135448837,39.93478518424117,37.64401665772074,36.51607115018153,32.24607900274883,34.22715277807044,30.404253891115694,32.087769933586166,30.218366516335085,33.121270821442266,31.351557611250925,30.48057271872329,29.46268735221928,27.567798791237713,27.428994612148266,23.72198431693657,25.899282517381433,23.133028892415293,20.812097641139214,22.81419603131174,19.159114379693925,17.479232598223216,16.966441526696215,14.068231861403858,16.27481252807975,13.410727838652095,16.488265640507677,15.908276187737385,20.63808487011411,21.4000257619844,19.393488582080806,18.083472759478457,13.638591013979521,12.853823209063922,13.350950074009084,10.386426042163322,13.809535075337795,13.63873207139132,15.80031826617157,19.036920957223238,17.091797850189252,21.67469085166637,20.46123623203243,22.66739147803836,17.145403887685447,13.855457569309552,11.225871290991867,8.197235482587491,6.821221556728526,10.533525580114562,11.018539617561066,14.891022067368342,16.445025826836787,14.81045595596553,18.76125784282517,19.502719112423758,16.765067631682314,18.94604855379132,19.39255518547391,20.080269896537846,22.54247407041112,25.286007865484006,29.67545389639007,32.34059486295091,31.95711720968737,30.24425064972746,26.840107528818773,26.01251725357467,24.905892531042696,22.489056388744373,18.89501756196608,21.405723845578926,16.499604992452046,20.951514885034257,18.91013833657851,14.580977413258164,17.62418716572465,18.44199661020182,16.297360671590152,12.603791785659597,13.864356541213557,13.02277645258561,17.966912149012174,20.686737305142056,23.342780513662703,26.163263244557115,26.237124862841867,30.84877453022131,28.06644573336766,28.779042497371996,24.67799538493308,23.236284602991404,25.16817099086404,26.27348350281022,23.242377802396245,26.098432746290225,25.61455529007043,28.874860878328978,26.148038575199568,27.35159826500069,26.136027460143712,24.934234269151663,23.33156823542259,21.456676311730803,22.206088167906454,22.75212443576421,18.815160652163343,21.705036802459787,20.928491309475135,21.220999249670594,25.23413948982261,25.503567662245484,21.55482640610762,22.473527098246723,26.63461314020839,24.308040005169968,20.736645160329598,25.443534309183146,29.016450430129638,24.74868963046888,25.6563411666565,29.558375907106985,28.53995560864005,26.101254030171535,29.535601049404622,27.349627640292624,32.54849907074352,29.18872677144093,29.057320711135286,33.03154118423836,35.67988893757476,40.13941265290677,39.89178683051186,40.7581508576199,37.65839165466531,39.00856018875151,35.85115438155489,38.561566220382964,38.13640493952896,31.842330178127522,33.392738661232606,36.058202292885234,32.22161512361363,29.239443258449114,30.881144494121262,31.192296116566766,27.633042344659668,24.48210994935224,24.301102178366158,26.000694919838814,29.692540401452046,31.060860676684943,33.19290659112369,37.12072750025735,34.0418742288887,30.199775386716954,34.31335276768082,34.98959827035708,30.016642321129737,30.119205594680786,33.924317523650764,32.93980599621272,30.112520830530716,34.53874134944585,36.29256621007156,33.1226672809247,33.73346737839007,37.17295683775773,34.898521649600895,36.25272048633602,33.77286085889022,36.49740261305572,36.44349657147574,30.72071898070292,32.0772872416341,33.936843350298204,31.49530043896721,27.935385265905914,32.97476871908801,32.86694777141147,27.38451547948456,27.443957308517216,32.3893650821671,31.234595214260843,27.318052792977017,23.743194805401995,26.946993883175388,24.172885251606655,27.388036820063668,23.082213204119057,22.666681117408665,20.98291130763847,19.620174283510632,18.066924548677697,18.829124084407866,16.644420548834404,19.23064236605727,16.006585646842908,17.451941732000627,14.5872119288804,18.89424472975771,22.06977466172901,25.589277462431177,24.914032593454092,20.478106820023314,24.31166193455026,26.27108398272196,21.88797759130999,22.235892492716104,26.997557699070963,29.176783015371527,29.187046013455664,31.7816904130863,33.50820736651818],[22.207296118358315,18.916113403179438,15.634681080021936,12.163762312525945,8.371039611817066,13.110411034940197,11.795058781070942,15.57302578052845,17.104212863189392,16.44758252345611,20.213286366981155,22.2280362175092,18.7545473841666,19.074272097856348,23.203364928197598,22.779978556047375,19.691062454236498,23.557712387059166,24.75386649903422,25.635566296584113,28.66124792840992,30.48416244202316,31.921548272135848,30.485487121136533,27.22130367136077,24.493794007680197,21.757452781923632,19.077753500914095,21.324197671988784,21.93713748970384,27.619662289760797,26.231852553943,30.728807195839078,33.33382734857945,29.70240866431374,27.222189757179024,25.299642214746235,23.906573137979947,22.069741401089264,26.47989296966591,23.871081187421684,26.318256623932108,30.30615656521419,29.052988702023562,30.561593849668494,29.65277712402005,33.900336262277214,33.00687074350879,28.965109838659092,33.49963461301681,36.082763870335775,36.436655889497416,38.30639690774847,33.80171800546153,35.529488515065296,39.91389352782606,38.33678153194898,35.131891339642436,39.290569605674044,42.06075696655019,37.621705741318344,39.50475198653505,38.30408326243741,39.4372240431721,35.953459759473205,33.19456389472628,31.8414378657053,29.632065563306067,28.318484042479852,27.69318231430262,27.4175999388184,30.888554914785573,31.841683171204036,33.53858441348033,32.3210673226099,38.063112502015024,35.0988728667906,38.166324872097384,35.73701214667944,35.494133472635006,32.92367758900786,30.894251219350938,28.884415898373007,27.924220708080984,24.619548523224342,25.106158782547936,27.819146427995975,29.70544976080107,30.35338701024689,34.763628428404566,33.53833525135728,37.63010977322602,35.10332508347323,33.46937840387984,29.157942479587664,31.30023049770746,27.502574839996363,28.21528252607715,25.869476494820045,28.081255022383278,26.478087759585822,24.8062611285892,24.25864564862189,21.69092155526946,21.77767720309107,17.656526880164506,19.781738618568866,17.251221798702236,14.61835086704747,16.401627485167662,12.693022043187595,11.311956919467491,11.351369331840969,9.239751468986135,12.960192399842146,11.384401720330787,15.107228305021868,16.59542210233187,21.063489879161367,20.51147112546025,19.00752724327165,16.943598739078183,13.460482682699809,11.145436522242637,10.0494433645854,5.668188524173268,7.655580022324332,7.262172158490883,9.572475136697012,13.339351359521437,12.086260198271713,16.73457157412433,16.352507765066953,17.7585864185794,12.994294390072884,9.185270887446253,7.398668233069577,5.394666593737605,6.247562066688997,8.883659905732726,12.34644506452646,16.406133403993454,16.74539372900047,13.96403997410573,17.249556729662473,16.93732930846838,13.879537552961779,14.870088205202107,14.278347900878039,14.844759333946957,16.599921421325504,19.79472242668322,23.785576392710315,26.882881069786308,26.738662940821385,24.78628295087001,21.659621321061426,20.284055157134166,19.856444348554817,16.804292139413075,14.004668386443353,17.590400017994575,13.70491114425766,18.181065242247737,16.937343172272858,14.1544913100367,16.13893390636973,18.30434293620506,15.669127553393132,12.22809650058182,11.81669921305318,10.536055212201033,14.661047585743223,16.652908177709214,19.062797025110765,21.2480248585385,21.617657434649892,26.027671181998393,23.866697669597354,24.17385921081004,20.785236734957913,18.147931887976412,20.836599286955863,22.617215463765998,19.929477238135647,23.465687914023977,23.389999569725852,27.087685254803546,25.590051555851552,26.06684686822259,24.922745436100957,22.902169016059762,21.331229494450568,18.916434384076265,19.158760082398,19.66200435037647,15.393329474522575,17.564485944814894,16.654843530026916,15.858015729286329,20.15488088632934,19.73953287888743,15.7881698805913,17.64747985508893,21.47713726875182,18.876800462656693,16.421719762762795,21.055827811614794,23.911064368748647,20.168266998630976,21.725331667365424,25.366379177301965,24.10783479954333,22.607787848201948,26.265903149789768,24.276878756615837,29.03247895680862,26.655879725220736,25.630348322309786,29.28769901669037,31.952995203561706,36.181983286605615,35.997324239315134,36.295148739659915,33.05394982059436,34.128066716457944,30.648687851383293,33.74489921839609,33.726133716192095,27.355975205466446,28.72913584570632,32.074403645810946,28.540788437873267,25.276860493211903,27.19934033611014,28.314769409084082,24.72393032896991,21.253181101827522,20.30374573814475,21.070771743511365,24.711990315833546,25.720283110930712,27.434102353882032,31.217255488630453,27.888648689469004,24.264778260193808,28.413709253886974,28.773951709506402,23.782157997732234,24.268469933258174,28.00668759914803,27.008614109047002,24.5259202859517,29.05509786867124,30.769098906423086,27.8812823309348,28.792979680962492,32.159687559303656,30.03366365202926,31.09835857552486,28.379050229609003,31.36793018017089,31.72886666930649,26.018718933150993,27.293605811243992,29.73059680334865,27.509764970142843,23.883087987193623,29.218477899091646,29.76752816376869,24.39022989353596,24.35965614541592,29.708191148384447,29.11693764225016,25.37672145175145,21.872774469177855,26.033778492564817,23.60763232042115,25.904439316590643,21.551181511089858,19.893505039617736,17.837954330800162,17.9743928711449,16.302733023563327,17.727526861158683,14.93469565144131,16.00406426258399,11.5468685279415,12.346437542469191,8.622858252545619,13.277861024026492,15.901001308185904,19.524936613453555,18.683303633506668,14.592305281136664,18.873252538858086,20.707364427436396,16.48072570078078,17.667855072640542,22.1916248414757,24.493624431599528,24.267132268831162,26.83141664772954,28.402761408058733],[18.084471248035744,15.071724352953202,13.075665320802177,7.870438429623104,7.768113819135395,11.126420337361596,11.278508311857513,15.916256218630798,16.33196491123484,16.421744701914392,20.096794379626363,22.663020946624638,20.237219539390942,19.38557283430339,24.210817909284682,24.637129593679404,21.89048493100082,26.00155548565991,27.25166163869611,29.026023410516647,31.95676208222991,34.388212570047564,35.479527820897864,34.02875154559239,31.110569009209726,27.844093695288542,25.612601907364468,22.491348098269846,24.568587504027015,25.089084401075205,29.856872918775206,28.95662403266806,33.18688296174574,36.149617124916126,32.99635547308434,30.618773129980777,29.154655898230907,28.18925446102522,26.81809112739238,31.823513817565445,28.8849028198684,30.69747768065416,34.95704503807287,34.15500260435641,35.69456038407329,35.08226871541769,39.30788086716513,38.3328927467653,34.55213797661526,39.28308129151574,41.737248358937045,42.22620260278098,43.91641347193007,39.148752730355596,40.849679739417525,45.187185233569494,43.47270765966234,39.99229597302042,44.073010555738286,46.938445361228815,42.15508098415612,43.538878607363955,42.04204240810822,42.92575498493531,39.840271700697606,37.032159532504615,34.820525789730226,32.35213203966719,30.25009418026821,29.099873967183928,28.41406808749068,31.4335707369724,33.01494474424764,35.36176848441648,34.51668951989873,40.567180785751695,38.317375086186736,41.418235290103695,39.49588821339918,39.76044470946142,37.438614474851896,35.92487464252783,33.86749063997417,33.38475009098435,30.13149740577402,30.03259689004903,32.36901550075507,33.98502316540039,34.12429638332771,38.13863911551758,36.36277193112855,40.0156120464936,37.13293369047001,35.37561234585403,30.77920025235431,32.24961555435585,28.106405196319823,29.779041695132115,27.343229630882277,29.485996440476367,29.086249040728806,27.681552029788826,28.03116858786517,25.61594933193178,26.74840837263757,22.28036642339031,24.388926209824533,22.1446612514732,18.693412778347877,20.20526644933456,15.649049788901637,15.305092698278184,13.697104195852216,12.630528363497428,15.072885154930761,13.763828036152928,17.649372331250788,18.90110169782056,23.286332659577997,22.562444124660388,20.20144548316114,17.73604913672965,14.049328864030576,11.70077746015686,10.137160655856343,8.668483049530439,9.633538141319148,11.71855202859277,14.322928912197682,18.774532167463192,17.316250075779568,21.994510298352278,22.20280843671392,23.5981526771521,19.100514174174933,15.29105497524655,13.054643933849178,11.195409384644519,10.800030732380314,13.75816132958194,15.632993858894467,20.08944793630443,20.47599483429697,17.991656803262277,21.83923878767874,21.14639307728711,17.934076825171278,18.490033103162897,18.045747793677034,17.151184473062628,18.921240814679383,20.829484321380278,25.27672063781589,27.066823641287495,27.394126958397827,26.440316649573184,23.634096386923808,23.02184826298952,23.02665912678708,20.94734170686148,19.12360031019926,22.37163826260825,18.965211759454416,23.64422706226219,22.790619324410972,19.688022897431868,22.12545791187193,23.869719113516158,21.191224195148003,17.7241585658422,17.819375643362118,16.542656010490614,20.718402023669974,22.486698883171766,24.497919524748703,26.335062600271204,26.035253333747217,30.843460800443758,29.194164456447087,29.682785332413655,26.71432711164132,23.780545445936923,26.897886395128538,28.80866353881319,26.148835765683057,29.55005909954675,29.155183349822906,33.03823177617099,31.262306790108024,32.06863248992826,30.930221623550928,29.04754803965052,27.377439107284864,24.896110782644325,24.93912942491148,24.944125686704684,20.36096931925616,22.069720986136396,20.118002813745623,19.482337683385257,22.890584851264478,22.31699207114818,18.202139880380567,19.13962543937464,22.75943158353775,19.5466719619787,16.05539166005491,20.860361635015,23.822861601694616,18.81923884473235,19.938734452629664,23.749801306647836,22.137757124228102,19.622670252484298,23.47117375851354,21.79904196606752,27.02011570418455,24.986672421336888,24.683352944918997,28.42328078105036,31.85735501343679,35.854579972260225,36.48635210315402,37.33908763602533,34.5963224938808,36.293241193391495,33.27618698243079,36.724032873012014,36.08796255172975,29.765640857551954,31.944319233348697,35.12317447659345,31.154069267230014,28.416616323516152,30.94547924503048,31.257246677270857,27.208241012746228,25.06031640101154,23.23995556632155,25.135403749571598,28.511508100913716,28.739749839295254,30.806368450693515,34.100364011344794,31.098691245658873,27.245540838574232,30.48530780226183,30.95494856262957,25.968658706777106,25.651780900770405,28.92370483574258,27.54954099383016,24.589838876341524,29.22406824289754,30.53156603742709,26.908676580689335,27.867371210037902,31.55542835591468,29.67731681233812,31.549996899933248,29.549356563939398,32.769980291872244,32.19419284503054,26.408079783794765,28.72559119702964,30.57281036202985,27.785092983227152,25.001480416681485,30.64206170393887,30.17372989361778,24.66256315058129,25.776647128621367,30.83309083095686,29.31224594940983,25.3852639787311,21.158472752444688,25.100256791351683,21.72471534322113,23.92308805133016,18.91575410824136,18.139094566243514,15.2736969193046,14.552549843294303,13.935495470945273,16.06952407833705,14.376884793331623,16.595756768272384,12.664423999556362,15.301033861084523,11.808031820599398,14.008319931982975,17.47301960365696,20.476157258640196,19.930231731835587,14.966131156026108,18.150250916644655,20.037298600635403,15.794150785297905,15.32645053894174,20.097983234902554,22.325738280019873,22.66082134637679,25.390041818348333,27.135041764880988],[23.34917143559915,20.453267702221197,18.230040986867962,13.070032653698098,11.89300559802306,12.984085133456825,10.716630882687449,14.619441993961185,13.84442120208082,11.943324988463784,15.403747748706381,18.59096680110804,15.098518117543284,13.5903704965835,18.2314162518453,18.79056688783256,15.506400737401604,19.30902159448252,20.311799689194096,22.430596003975406,25.26629748694489,28.018441547663134,29.00729188015615,27.784361492817496,24.948343895591073,21.333407151521417,19.357394518411244,16.049592674141795,18.262789157332552,19.358693412787588,23.622018171195908,23.5834778003108,27.77723016880102,30.291608981512024,27.26099229542405,24.522472463449564,23.781822334070316,22.400378154805296,21.395441000010035,27.009532684883673,23.722268854135358,24.736306191576524,29.17415811357625,28.941148418133913,30.687416023738365,30.73329108405933,34.830287212154694,33.43653332491317,30.199130847518095,35.380983529490344,37.331847872396445,38.15675389172197,39.41886890010781,34.22073367372414,36.05286374576585,40.14099615044655,38.14134850613788,34.43793738853447,38.477336982627136,41.28418199338375,36.16992047679953,37.17320218117736,35.583604167168346,36.24387941429236,33.388495615631065,30.601959591333607,27.97668426060309,25.538510420338216,23.21516421239259,22.20167808082584,21.424095322057738,24.523583624073137,26.0975736828737,28.33370858947226,27.70593464744533,33.79903091321435,31.73780552310701,35.04255764590301,33.33863604975014,33.809824722732664,31.991163280731154,30.889921918486813,29.409395232573388,29.371343098201883,25.885597114791288,25.15188189683547,26.76523253859932,28.614206030210184,27.994897247755,32.125313373085916,29.990949629609194,33.498003517521944,30.772176973217423,29.371141191859067,24.87618469859928,26.473689255163336,22.47747804745105,24.63316963412041,22.82635552383527,26.04959109911189,24.86510026046041,24.823530122679017,24.309530866998433,23.29980269214838,24.824658156529402,21.210609616322845,24.46920468939248,22.89670537005648,20.27612980214843,20.69458287159387,16.542698610035803,14.1065016987585,11.555904681664533,8.947177327467616,9.393281456334353,7.348388765251224,10.948044588168301,12.273177059586372,16.411405605682845,15.59039039132615,13.138098881822584,10.864505491320365,6.985361182851076,5.076854816821891,5.698034902400881,5.864055149002035,10.811101364245054,11.727718898606735,15.229182546500054,18.64229690413275,19.0626452226663,23.479548738699567,22.824840612717207,23.275268750344996,18.876076844506283,14.421975166593159,14.551253642596258,10.573578717746868,8.406985298823463,9.796272056401857,10.719246349881958,15.173011002904484,14.690573099639288,12.33170286859666,16.390657042067563,15.492909116603204,12.4385484049728,13.543785008601862,14.404744190517702,13.925327785901164,17.23784803308647,18.877879731209962,23.82270133567572,25.850236998199307,24.968762034530826,23.70023846562251,20.216893920161837,20.422155615466377,19.089087879707918,18.334793407081527,15.957494356466453,17.748807726595558,14.63528599822622,19.344245835454622,19.519908262755788,17.139196387334163,20.552617036099676,22.716643257038637,21.181428096123998,17.134553535180235,17.213131199120518,14.447677736598884,18.12338667480627,19.534087170121424,20.94735391436992,23.050389874290786,21.80907865133668,27.113597064790653,25.338003180984355,26.592237754163122,23.818487702159846,21.837873979077838,25.47168651386477,27.477163404731495,24.378353816707627,26.56738611087451,25.197724296680644,29.628738334518108,27.90639137003852,29.489675576070248,29.06026212809496,27.455254224621907,26.809116471729272,24.98352118238695,25.779317759071475,26.831544876349497,22.814234719494912,25.016794792314876,24.087554705008394,22.71965256348025,26.93912940350219,25.733530665426393,21.752603281832865,24.010038516495673,27.377564460385926,23.882867211173867,21.6996952402159,26.4298126923119,28.5558495023374,23.929343823976698,25.722407032553736,29.260869207841633,27.007800803191184,25.187500430456783,29.43387270115296,28.113588283723914,33.07625538287789,31.683342068965057,30.94807610550388,34.479864761191386,37.84532042667182,41.71220249187158,42.2366689652904,42.565646706684916,39.54831751249942,40.73547826697825,37.1902743293078,40.67944212231355,40.72351190822969,34.3518134568527,35.84266449160698,39.454274868428314,35.92097552948701,32.70349954547502,34.73781463337895,35.89706774712179,32.2035026545283,28.885313352142795,27.69602461097672,28.163996445737833,31.720651254345512,32.30004247962906,33.55973022044665,36.94002210113455,33.20383901005943,30.0673269537017,33.77460539427043,33.42516356537703,28.431433962661163,29.193097002858735,32.20260255200355,30.547540714831154,28.388101192229975,33.318693596135226,34.288121277619545,30.754205302913327,32.53073454416912,36.23981878792213,34.680946476013126,36.23629410975761,33.86410400807412,37.32930631633986,37.37240418085269,31.628276672475202,33.6089172943959,36.052372655848245,33.555755799204896,30.472226255275153,36.103696064716864,36.282409115740165,30.835252910227112,31.422280183277486,36.71402007420424,35.68140923339038,31.82216692593136,27.821400206621835,31.868909296868683,28.69400181894899,30.885181315202782,25.89759755372036,24.75903452373667,21.579713295958474,21.434077838552298,20.859824175304176,22.951469565710113,20.88315457606837,22.5340140638945,17.886865969970415,19.290086474642656,14.904213551135028,17.992218630277943,20.087726981158866,23.1786138305187,21.198432247931557,17.399491716504368,21.467049334494774,22.07178429964456,16.989828934818675,18.55399604536183,22.744352597600237,23.985316474109368,23.471341866397623,26.00095102187413,27.98257842463208],[21.17723950874256,18.54975363762949,16.82395355022045,11.571473342531409,11.649854327031658,10.556205894012002,8.497929615639642,12.37717989815887,10.66784333834933,9.416504588195401,12.748248729394966,16.085684502544247,13.728239551129095,11.732154782596178,16.77634419895566,17.852247236421995,15.447823896913114,19.62432820738439,21.38061169266369,23.785674109246393,26.870519264537567,29.95963511243939,31.085178894262796,30.23955539493512,27.40658521348563,23.475111958847666,21.482397799861438,17.718078042022043,19.084382035234775,19.499956218895957,23.077192464313153,22.961883900268415,26.842523716406102,29.81607574760179,27.226170911924097,24.950980783134654,24.251087694556592,23.866843292795217,23.419690656668937,29.326850472874114,26.51222507503206,26.93536537862725,31.41190789903236,31.5141862601518,33.61917250560659,33.94099328476151,37.94949285589462,36.19305667838062,33.090551928001695,38.414797985714564,40.00796852312869,40.70694651312659,41.73342743446323,36.55529272379852,37.942725025148505,42.08352101210098,40.30286515409871,36.2560291156887,40.01492234396913,43.15170330202777,38.0242161363916,38.59304317452413,36.597638368435284,37.498971487573144,35.031385022435984,31.969339124536543,29.05849033931751,26.114364454541303,23.6680476135665,21.879855551909415,21.217078083076476,24.053892653133857,25.62938215183815,28.504924786875787,27.654102393600397,33.831357026248526,32.292614901770754,35.2881973340117,33.985220945332564,34.94486358829989,33.05111062725628,32.487257948961364,30.62182932557878,31.114726040084417,27.998897146212222,26.665896703410308,28.23022749005271,29.406213620659443,28.787651032526263,32.23531594479329,29.91004815553971,33.11121751519191,30.01478272406455,28.291606738208646,23.61763737672037,24.699904642007542,20.485606700138817,23.003418403944913,21.00244709553571,23.975071024936028,23.79021862752403,23.850827879749854,24.177892259738595,23.261636186405408,25.75052480065393,21.95618121325931,25.30659723945378,24.22545512401613,21.18129746606818,21.034763251171288,16.548852424947697,14.689085454469224,11.039179272854524,9.886430784661822,9.490399899290594,9.009027652334124,12.43756685901706,14.68759323337016,18.136839546066177,16.381365894687196,13.65883066110919,10.67324180175177,8.090175384049935,5.428884967307897,4.321212198534755,7.583191324187086,10.903629264463952,13.027993670657416,16.668744629214867,20.398152016330318,21.25518243377972,25.565006615897293,25.494660155169775,25.460858199033986,21.676196431361646,17.13542461923768,17.51102554018917,14.074100338339276,12.369944956659573,13.339121140220946,14.480927676812444,18.814394327817016,17.7673340150547,15.298484627410827,19.05293202862804,17.34022637134967,14.302870775393961,14.273000294786517,14.821200783719659,13.05022940988245,16.20792739227924,16.782843334186797,21.941653195440722,23.108087754340342,22.415136153124426,21.836460075475046,18.705667846334805,19.492330134487826,18.660432734534506,18.708227395797227,17.560771821643236,19.335072824628547,17.363762836710077,21.92825178379263,22.81768032654798,20.999726100061732,24.204145632051336,26.646309709120217,24.983401706217066,21.031550283410912,20.782144973506306,17.91154638278094,21.067617238605113,21.90008632314345,22.772760280620368,24.249666031866933,22.52079968575356,27.951684831935765,26.922689471994442,28.189600073827368,26.168468010829336,23.60638203176815,27.85591074289048,30.222289094441006,27.301228363383167,29.525753893619992,28.063240682673765,32.779542267232905,31.481518663269217,32.98923512042374,32.66105601396651,30.85696141189385,30.26653174581405,28.27020211704163,28.820333933364576,29.68969320017593,25.489443707515605,27.19685609575257,25.820579457514842,23.9807379528242,27.839270761112257,26.097334817477975,22.18072117541446,24.53540665152695,27.43623490984149,23.434856006008534,21.602085256890323,26.178733990788693,27.701136073402402,22.740980944838235,24.711481116554317,28.016284896290994,25.23228623270612,23.486236424948917,27.974733471397972,27.14074588319048,31.96415283586634,31.50537127886064,30.71825393978365,34.0043649264698,37.80375836256772,41.31545948911837,42.37456847521071,42.66384328222982,39.882642022798,41.21486909697126,37.743473434921775,41.612778827735596,41.59575475768145,35.29155749674483,37.04153663693245,40.90570428581398,37.36541862960053,34.287662468521006,36.69042512921105,37.86063503478622,33.9906427664221,31.130370017274323,29.257031385321564,29.710623646638354,33.05891419362758,33.040272225582285,34.13096417423839,37.07632065297047,33.32328946040158,30.367225364924966,33.5102294934765,32.866595946726655,27.966037549223994,28.631284026351807,31.125067524964514,29.13133167032539,27.103973672123427,32.142120370124005,32.66844552325635,28.831755598365636,31.032361325844022,34.86798835943289,33.689104321760176,35.54504037239484,33.49452367415377,37.25199496065715,37.02344068132772,31.362186146797708,33.8637918202065,36.298809170614675,33.65990262806135,31.075038303617394,36.924017839917184,36.91079054000709,31.550158530894866,32.65312584255667,37.91130921145231,36.686173852840604,32.87443106652042,28.62989178481731,32.88011789831041,29.42321005310223,31.0874894765092,25.85787828082814,24.642671850491528,20.8303735554675,21.059189171678007,21.130933149341672,23.783114536206643,22.08441482004507,23.538961522788284,18.755901794774108,20.553980385560166,15.98949110200424,17.702483771019406,19.541602708414327,22.11809877623402,19.881665642273898,16.17923139440217,19.745755527341498,19.800583466060147,14.65874526870835,16.105631706561024,19.95564098807587,20.749054471124733,20.25383106213043,22.780630348267838,24.887080014120702],[24.07883291154549,21.824395978731705,20.74933784534232,15.224266397629911,16.194078705792048,14.378281529417926,12.35676865279574,15.553002516514931,12.579303517414871,10.423269749297855,12.766083421667433,16.818228320252874,14.599807063790665,11.102565933145103,16.024052405284934,17.843497257274194,15.378827061758521,18.938029194053158,20.150995613209716,23.335503949005865,25.980867442764346,29.507252439166965,30.175281673574343,29.367410600454594,27.01568303813947,22.79786923303612,21.565170567114272,17.889759830622264,19.312579072079032,20.233858221540775,22.561251994110016,23.566770368687195,27.07444030625719,29.728279066563754,27.586582769712436,25.106204829238607,25.28484184132064,24.614945856487452,24.53847052214152,30.740338646138277,27.45863452087834,27.175359177855366,31.72587774814377,32.346584206091286,34.3549645601238,35.10573664141114,38.95447972530819,37.12315219831812,34.53230411363267,40.012738579382884,41.378276552358045,42.39582035109547,43.145616662651214,37.66184765835504,39.25574760416463,43.09313173813351,40.99089098273198,36.86596814922287,40.550066343937424,43.506706387748736,38.04472743421081,38.12844147604826,36.0491534294568,36.467797458521815,34.413961801297695,31.55251170256987,27.852921684619307,25.028973145549333,21.8269653948925,19.967320539517782,18.76642137055732,21.09146749225044,23.295426192571583,26.410519799160795,26.2186647850246,32.45667137971666,31.549401213781575,34.73339575325481,33.892599562308995,35.16968249594855,33.878188674974744,33.73752085756649,32.39929947309591,33.20782457392008,29.96166831854406,28.217170942646135,29.03175225201496,30.359029226828284,28.882088746156455,32.19571963367852,29.304640177851866,31.995590077137965,28.93376490040439,27.5570857107426,22.98247070045349,23.613089892369374,19.46568879231808,23.088282284021172,21.69746418750701,25.29602143367549,25.20482116684709,26.283589996417348,26.388563774908036,26.350975532229327,29.12101177512877,25.74523986508149,29.396469218782592,28.501512074400747,25.656002136350345,25.263968623289227,20.92290564326415,18.674994174869266,14.752284815610757,13.27780947092375,11.194738079113117,10.395983486290927,12.668098541505719,14.068654657005187,16.834509810277893,15.307213924043207,12.012130569583105,9.464479979416128,7.352753551003143,6.720115017444703,7.733385371128256,11.584286245943536,15.484577578951324,17.368107615099767,21.063793701085306,24.483097727797084,25.577177033972166,29.863872556085344,29.46624450422718,29.345170582938554,25.4587771229931,20.888509498250585,21.489804073200208,17.530808590866055,15.14485169315388,15.750485024823702,15.426811652149848,19.349693839836338,18.149974480505037,16.378753845690476,20.196209587346104,18.599921858655307,15.994464634824938,16.33671863402486,17.698119594167313,15.91468800096112,19.563541680270212,19.407400503636758,24.69427627947414,25.256747912704668,24.09112396923643,23.900189285963577,20.70234746019439,22.270072013315982,20.845962398753702,21.91158948128295,20.639991624879816,21.404207907317765,19.595418120864554,23.96233337582561,25.156278089740827,23.296985594810188,27.032240956862495,29.234146509436105,28.04534929668589,23.931870774967766,24.04413825714569,20.910819762798244,24.00785517019884,24.813917418402514,25.40240927242005,26.990433836330315,24.656920153204165,30.274280724625957,29.23677511839867,30.938222449782312,28.98353910404263,27.021671958363754,31.292474201705804,33.550886014467686,30.4376726660103,32.006690306417305,29.997863669252464,34.8086725832377,33.22132507013185,35.27500460173497,35.2204629786956,33.73513579058502,33.478567405095895,31.79298937267042,32.635944422457925,33.73622024712939,29.66689433270511,31.602120378103713,30.350438575795156,28.588321562909858,32.482193309684135,30.708428535099582,26.815071268362434,29.129725959631436,32.002748108518084,27.91522750922488,25.991656066877102,30.55179730068643,31.996638926191203,26.832201676799286,28.700096218733062,31.95021287871746,28.962172148427282,26.990259020628915,31.499211718130493,30.86246057877074,35.748688105800795,35.39579553982971,34.86753496584004,38.15028296171601,42.10874915592063,45.54671511822006,46.78109237964498,47.16502083074752,44.45446661351723,45.83117197875659,42.36715808654977,46.250283115505,46.22170756051782,39.91723289988352,41.66914847031009,45.498577152874695,41.92124822923586,38.85191155292214,41.17909971993774,42.27792080228889,38.406369332822194,35.50575488903044,33.805936037447744,34.2673176181738,37.6494926288027,37.66750999522196,38.67444945080399,41.55849998438052,37.71301516751626,34.90443457680674,37.97133054447491,37.152505539670756,32.319184265213764,33.05172419928065,35.32307965798923,33.16624789817686,31.256002672560502,36.31001419369366,36.59105469629498,32.57714957061328,34.981501630647685,38.877296005599675,37.86893701835138,39.88462084089681,37.96296801070935,41.77963213519302,41.42729957639164,35.79147842611439,38.43426297487213,40.787479511713485,38.06201858704611,35.59196527125233,41.44552086455988,41.25043403559314,35.85844018902051,37.07250079374323,42.26342258516912,40.84472349386391,36.973666275555225,32.6254994148306,36.63089055812005,32.93955154014818,34.75152230682946,29.435963781589997,28.62458438478151,24.70241445936338,24.539408796983153,24.902390751321438,27.51497341295885,26.07452324273642,27.887477655619872,23.27746061154249,25.157284674435253,20.60691785149424,22.259050246808236,23.987497489201733,26.372897450541412,23.87526794999461,20.460875528471618,23.750256462138655,23.38173366525209,18.284841248538136,19.632278180393325,23.088387863691626,23.299502890424584,22.724716348263062,25.072726190192085,27.292044147846642],[25.47693871180874,23.16492117896614,21.555288639117027,16.887566702863236,16.730598366771247,13.940318037501356,10.847172200789396,12.729626360733226,9.314229448475055,6.013029512396648,8.046933179622682,12.184487608003126,9.900358045493515,6.273513524680653,11.315872686950684,13.147548008206803,11.308020596105699,15.21884941218089,17.479278006973562,20.34903215357162,23.463733863242137,27.01828561986595,28.174620839326323,27.932743792291852,25.26721234962342,20.966883412886457,19.300944727185875,15.254521202122815,15.706658799514447,16.008422827095952,18.09426850801475,18.884247363293696,22.277231060540444,25.12259848344511,23.138306455352428,21.02146191766146,21.138647264137372,21.296006659900133,21.732363098623917,28.062289022158783,25.52356632544686,24.715862292718608,29.173145587357645,30.03140833560497,32.53480341952942,33.58757509008964,37.284912878445795,34.94851325428668,32.5003229039294,38.103984413912926,38.96997817728773,39.81544477018704,40.287894253568815,34.91876507579511,36.00941673704592,39.88006285495239,38.0894541763361,33.67215002080902,37.065360848666195,40.36364982861164,35.06591438276102,34.92432143366805,32.525880186862736,33.45109530023496,31.57991069206505,28.358757311943744,24.916543212727035,21.5784892987958,18.91733110328693,16.473038630026615,15.924854966766237,18.56358118053848,20.002835945608656,23.35142795641558,22.458883361966812,28.653861381022935,27.784093599704804,30.62896578527848,29.908621206947767,31.461785652386105,30.01347593179472,30.29272053890352,28.69890183112324,29.980072361430054,27.11566634349521,24.809605495399204,25.590033686804258,26.340045146834292,25.019673279238635,27.85860272433979,25.05969679079227,27.790156249141567,24.549377505186577,22.920870552077744,18.273331462972145,18.983331750243078,14.789563078202209,18.201283017520407,16.855234807038173,20.67977977800035,20.51688283293074,22.0604625495448,22.196933486039622,22.731006992021737,26.056419091388545,23.109026928045044,27.132348787214866,26.874782776315158,24.358991546189337,23.185689377688956,19.27757965071911,16.54860929354766,12.243999994029904,11.221278535539494,7.904235010645876,8.641195909872751,10.388186751302142,13.419755833042194,15.356307798846759,12.520230946785553,9.736072707953243,6.414315870272852,6.775716135143266,5.46462399061995,6.250707361440759,11.09482453722911,14.827562065038661,16.395158630544028,20.10486327742882,22.97678400098946,25.16336784346761,29.029322747769182,28.737368533980256,27.79646852283128,24.688368832936,20.11522074176039,21.910842759619428,18.023646104567316,15.970351942648524,15.435194629808642,15.944626272767778,19.529178612714766,17.35528213147279,15.2356138268113,18.3385663298354,15.884068236256253,13.520031472415882,12.953503487539784,14.448260992433063,12.344918282132415,16.317295491679587,15.72949431269771,20.981109006148973,21.676473511393723,19.922391208220855,19.603297522719796,16.318467930629218,18.369043347146825,16.682009108566408,18.666370914531413,18.110909690019557,18.370055051378074,17.857475919914734,21.811707730667344,23.980466828180475,23.24319414026683,26.701664759845585,29.48107944600349,28.537414991612547,24.53242561435078,24.07957060796152,20.48269096369688,22.617942963117716,22.69625314963254,22.60766615823413,23.71643782614715,20.878406384438712,26.511736150688566,26.014751614151226,27.865535646250578,26.673355172848208,24.623637255924994,29.39553410305872,31.952575539782256,28.981044770824784,30.218871992225232,28.00994775973693,33.146983567887304,32.28681670047171,34.236638638703205,34.50984889198264,32.827776475855835,32.99852966144974,31.40740058538988,32.273765097984544,33.67306423236432,29.85296075297005,31.54345665981845,30.592668836835205,28.178491626830805,32.22214260043191,29.90184012896343,26.28150367081937,29.34731438500231,31.81226124602459,27.58112474099188,26.718017899852157,31.053496217713782,31.756577387290793,27.12026010485165,29.49427283761024,32.42663223484137,29.122745930665214,27.964779339649336,32.62785913756304,32.210947066721886,36.696410035165066,37.0291568772085,35.94287801566659,38.9413397345125,42.825246340724746,46.0462657671617,47.26662996405218,47.16768153470343,44.34216685388054,45.37610679649472,41.63652220713097,45.66483762187004,46.08221162752461,39.86923221955919,41.26534810457998,45.492239734722084,42.28019364735073,39.00455626842777,41.24121466121156,42.95276619824083,39.25790302116931,35.94494787519785,34.155075317259566,33.71395583409126,36.981487569036965,36.89234736736607,37.31987184359,40.01615075601511,35.83722052395023,33.58175393904912,36.66023955276111,35.29893608238212,30.640513773489314,31.98097472368909,33.94573958769877,31.663575279872074,30.36489115903836,35.46587642801299,35.523780672579754,31.76583118995452,34.65573486634767,38.44806706798917,37.69173115291289,39.41592778875681,37.30702753587498,41.28695847675774,41.3623652647533,35.87927178486919,38.338476477652236,41.12418166969572,38.652794044158085,36.13063232423936,41.99559886381216,42.3213762793463,37.08567259098361,38.07521865851131,43.42979404750504,42.445996299138834,38.71783313501768,34.53519106160996,38.93803102632599,35.519144106607094,36.951631687713636,31.69939087140082,30.232764901116752,26.149417999420848,26.82859251677305,27.081096007916074,29.868800361795994,28.08821705817456,29.147732023243563,24.0782541231892,25.324390037509136,20.527791878106243,22.058484925238233,22.81866434588302,25.011976766733753,21.804141417919798,19.39079327456427,22.957288804804758,21.822841038659433,16.684759321491466,19.368966601524196,22.198648599575872,21.917295963769334,20.747042903377277,22.86712031138976,25.074675512744275],[23.243437552401176,21.281450735877502,20.020096853775684,16.121365077338762,16.57617698945892,12.027853528121335,9.525322232378922,10.441364169082876,5.967133147280203,4.883288006660492,6.093206838971593,9.711299126764132,9.911192265098641,7.1386099972150125,11.76062330641065,13.768716598515896,13.560915104142701,17.734340436379185,20.9254921489046,23.484917981766447,26.914994973367968,30.4370415345363,31.921145941024648,32.013631943913076,29.19801118694611,24.934680829304792,22.958751564978915,18.754038876815343,18.26826196101755,17.432226354467687,19.077536572614672,19.07446366790638,22.008248548941115,25.545466372498502,24.00525344662275,22.720086967264493,22.399565622069122,23.84596351732583,24.61628748300144,30.827449491962977,29.044077664186172,28.10753252638049,32.41652533430309,33.29671163008953,36.12958052564338,37.18313313123949,40.83698437691268,38.23558795121616,35.68483148871,41.25345960523289,41.879836506321915,42.4147054503177,42.7844761274075,37.688475277351856,38.18473428123488,42.20185206010655,40.84841792381854,36.201775802925404,39.252319460905795,42.94520644880113,37.918067391513155,37.56554939230924,34.815660870149834,36.24316255172877,34.63502949298534,31.11067781211165,27.90945447865677,24.10276186796974,21.87810399426121,18.702093643033706,18.64994511950891,20.970845834121754,21.97503997388558,25.82003510099164,24.33639079880824,30.31848970314737,29.791818760664952,32.04853545866013,31.59665379458236,33.50426792016756,31.691484461589006,32.33832980475793,30.08559376163888,31.740389742444894,29.41371437599656,26.79890448684131,27.899623584174517,27.76952049788837,26.97519199574543,28.92180406476046,26.303210067954968,28.79532070835762,25.15804658011264,22.943719940267396,18.234329685191202,18.331240882763964,14.007094479410211,17.166773777896186,15.269074079712915,18.2125222007758,19.52680178902649,20.683590630155173,22.027949467387796,22.263248185674183,26.424978035630343,23.244980096883406,27.068254050268354,27.262403723709063,24.381410390914596,22.746480754267658,18.765667981718213,16.96238376305029,12.228290188480116,12.954076121178133,10.32456451338117,12.356960682279334,14.285665681128082,17.96632863437441,19.61611907054923,16.127230196092736,13.792995819438222,10.368396206734442,11.453207226586736,9.345455081248053,8.02494959561301,13.177277510306716,14.995980478718401,17.38709100556356,20.899865159033844,24.012029028503594,26.40553132212726,30.071229402811664,30.457334672543126,29.149325219911113,26.702779454781695,22.22033467014403,23.996273598538007,20.800691823693885,19.355426543276646,18.945833205454264,20.275613542134703,23.95244569955113,21.641220874769274,19.20626386270922,21.921984852073418,18.901665128350018,16.535632189711283,14.767677429968579,15.33311277017936,11.971598066225386,15.048773867009174,13.165475040951925,18.31916216990482,17.95385245671383,16.622817564261354,17.22455982635556,14.723015126371457,17.171399728003202,16.546504968399788,18.921733396093504,19.755918966195928,20.50834527075274,20.914740983145688,24.692697204314776,27.184565323422568,26.835405914550496,29.83358053352238,32.8983832206299,31.600431933326206,27.76676832669632,26.93336478701974,23.491804569465113,25.260518226800084,24.87570148783614,24.43874172400558,24.790393229309167,21.867050742592514,27.267944743023154,27.622835196192174,29.195580203563882,28.757352778781783,25.91143556246682,31.115139817567748,34.00917507317919,31.350819006659147,32.951138746464856,31.002283365654556,36.24190248971044,35.897377300152726,37.47431989534946,37.67959230565838,35.67879540491259,35.71173784137864,33.83040620998252,34.32902214763658,35.43707973146806,31.456176783567,32.58028874669003,31.21232261114916,28.378516841310862,31.949891344341676,29.14598227626573,25.759619530365885,28.878738840090463,30.765747064017788,26.211892225091116,25.92034617538928,29.884171857849243,29.862503651381545,25.24565011890754,27.80576936059367,30.333124322616815,26.60228944942727,25.821707908670813,30.54934105091723,30.62376919662968,34.72405716064657,36.052185137123814,34.782102098209236,37.41553441182567,41.585497726816406,44.385326989758354,46.06980296794168,45.84748399832681,43.27369624052738,44.39320839160661,40.76895656142323,45.12784447594874,45.51185237480125,39.47648231695684,41.08003209315149,45.53249525922942,42.39463243314611,39.290418958033314,41.87156011290634,43.628187186617446,39.82924518908274,36.98664326753028,34.531476967809574,34.03681776597615,37.01290886152267,36.308509222008276,36.5448122008203,38.731969358714906,34.63894289794775,32.62259507065323,35.049341909781226,33.40998856834986,28.99086130075978,30.2299806927066,31.602535431483442,29.045862582705084,28.00344513136483,33.05479173984675,32.663430198230934,28.77559926346096,32.0687883405559,35.85872102574771,35.513255687520136,37.421019393251306,35.63661481268257,39.828998463495026,39.71137566982945,34.45854053924067,37.3110633264443,40.101496699947205,37.6019875119985,35.58380111721682,41.53399596232205,41.78281094185304,36.76711931007381,38.158782550159614,43.42721024983006,42.38641008189273,38.80627503166395,34.55073408208316,39.16530111153375,35.681436499708724,36.49181730220294,31.219352238192414,29.512953045046483,25.050231871863524,26.30117142638983,27.00208156012234,30.19031352550486,28.66053686522861,29.312769477591893,24.245102171751032,25.679503949982237,20.97304648644081,21.18067662604008,21.50914189234522,23.039557318593108,19.69599839250575,17.719689855871497,20.564413101366405,18.77878559679634,14.01564267045181,16.71515457082123,18.770605552433043,17.911565531314125,16.674554251423544,18.69211396606428,20.959608023493878],[26.500512697300803,24.724794984193064,23.549320260174294,19.867189179953105,20.200124898540444,15.461846849942049,12.787620545257418,12.660064912001259,7.972453542492042,6.094184342184359,4.751330659564399,8.541359837490345,9.508729760011454,6.057889938669522,9.576494896482403,12.206333269542608,12.838850380289164,16.442716378032184,19.878368647072694,22.60083972567319,25.924565402720077,29.637719730610556,31.10356640663434,31.565958554853935,28.932152107827495,24.60011551199108,22.90368300386016,18.775538931174864,17.680286909158465,16.697700577514368,16.987911304607195,17.61726740455669,19.959299387121202,23.396842234574184,22.432133538588445,21.40583781298378,21.640884681487663,23.47423600248032,24.760683573858742,31.02357554408925,29.444016148722426,27.825757025760648,32.00199934004724,33.31468747165868,36.31897875811089,37.76458774161822,41.19089545539461,38.29946803263308,36.167911661906565,41.809667261821886,42.01269265569858,42.62685257073685,42.66176918148927,37.523393830788876,37.82039273536417,41.61766982556499,40.28523264247073,35.475045904455506,38.228819155947356,41.98621885481132,36.93114374849803,36.10629878265244,33.10985371568951,34.54889257535512,33.391000200977224,29.82873102531996,26.357879823094773,22.36287722600054,20.108005260990396,16.468246406374917,16.581522352610634,18.52288338820721,19.33899710971593,23.51839967160454,21.99365548748727,27.8187108163567,27.85437746588774,29.90085817147749,29.91145143124063,32.21979114654319,30.725865467235312,31.921297452775857,29.867428707193714,31.975142542019935,29.859324663295595,26.737763275647186,27.326098072834167,26.86574297669659,25.64783491694086,27.01721643994105,24.111604268753975,26.13766625609529,22.392082728905123,20.21087334984293,15.639007949946109,15.199315307529428,10.957961033564965,14.915568736977946,13.617192331901311,17.031137014355632,18.528008040659763,20.69843398632766,21.944667069617477,23.083295276477912,27.60459044836126,24.983407087216257,29.049936799408158,29.6352416099098,27.07710103529657,25.020656557121573,21.456617593446676,19.29986281793318,14.636391959450567,15.267772359833394,11.715322524985288,14.009178237373947,14.961769948218018,18.680918912200866,19.40916088238185,15.503314977468937,13.45931426687409,10.45458333579444,12.850219742489429,11.549171394126374,11.060179673792753,16.145123787858935,18.255528126766198,20.280844395816107,23.73768624649603,26.391463357363342,29.308490535149232,32.75002150282409,32.993546827729354,31.300966128446507,29.16770495867064,24.74415316880372,27.042531541951835,23.643138592616662,22.02634444992594,21.099071763777303,22.078404789944535,25.30858755796204,22.57748643559449,20.437962427778167,22.71649346145972,19.463496751992817,17.61018736730924,15.679694814570697,16.679665572956893,13.433971455381577,16.64512468364824,14.120258279650129,18.93267048928891,18.1375010456003,16.077824042596777,16.988124124374373,14.639222219578938,17.848309006118722,16.773135199223564,20.201498332720515,21.302186278846513,21.22675190221178,22.350945065463268,25.69356665748779,28.738833419035938,28.858742871555922,31.957050456155354,35.11616119888488,34.1662462251578,30.32645302955199,29.453467554322845,25.755943138490192,27.065224353916566,26.345397976126378,25.42753847978787,25.55400715408067,22.08006324397834,27.40074690918025,28.09193956568173,29.955005112904736,29.979541323609645,27.482241427822476,32.8299193949016,35.76552395702465,33.11048722424327,34.175861689352466,31.8670054139021,37.234690374645766,37.1052309158889,38.90188416506888,39.40780817460805,37.50325573011307,37.906582668727175,36.24505927487803,36.90456122581142,38.25927862929862,34.4779675661795,35.62568292041282,34.47631781364473,31.449595953888036,35.08858168192816,32.076844271982345,28.867801721785575,32.245391275142225,33.9463035717475,29.370859524105743,29.460472358542553,33.295598012518525,32.92868685583633,28.535444442361804,31.213054384563726,33.547552774781884,29.647293863785663,29.127468327186588,33.8515904912346,34.1022393839382,38.0201851181667,39.66424785939795,38.29094284762369,40.785406849332844,44.96409943231195,47.61223674284243,49.363669856441426,48.96105040362915,46.38053328352631,47.34636678854875,43.61486260111752,48.01450071546949,48.60957006139011,42.648001707102296,44.06809593815024,48.661924789970314,45.68768464287244,42.500981794972965,44.97867948594015,46.97302136518621,43.2673379558637,40.212053680121016,37.843686669891035,36.95562033489088,39.87995746990114,39.168147524753124,39.07805546084986,41.11782650096365,36.85430025378591,35.22376330579693,37.59271281936978,35.602632014149705,31.393323274687496,32.95060239727599,34.030269222336806,31.37069617104515,30.727310478352408,35.715221578159465,35.08036179865382,31.30607873069295,34.88914541710709,38.60173427109368,38.474443312931406,40.29787225459778,38.50489613700098,42.76084602543624,42.79183478924576,37.670109430712216,40.468585864005505,43.3994432525307,40.99220823954765,39.001158229635706,44.921416058363185,45.31973486806194,40.37004417353039,41.69233932261753,46.987191308553776,46.05168219364313,42.50647052153161,38.28665126254385,42.933207849888944,39.46199607104647,40.21406203599848,34.952322890768464,33.18790607496043,28.680904417669385,30.03469722937764,30.778212193113447,33.976119908546906,32.407757282827156,32.95140189538658,27.814000364926507,29.008436714486017,24.26699937350854,24.509321450517994,24.388980067391344,25.70928712978917,22.002788632488294,20.728754439062197,23.478078604532485,21.178498410093468,16.730427456554242,19.81902570841594,21.269455739722382,19.82611938558626,18.255554443538674,19.873135161814254,22.08677101256151],[28.815120056130603,27.149357849378898,26.353788691551998,21.98848094704123,22.879285803110474,18.61230444556116,16.127032419638,16.710532305706714,12.073969985534616,9.62668684890503,8.49361735544543,12.445701769729117,12.537629214326167,7.959413900343941,11.017228842740764,14.151206776196572,14.066874908563939,16.83404406324893,19.303251578328414,22.750673310217834,25.493669337586176,29.517015709741898,30.434218782913184,30.754614130688342,28.615542331149722,24.144732051351017,23.197738946292304,19.339461666668658,18.760457267363012,18.668173522105302,18.066080943149792,19.959238243359366,22.070573881571203,24.88794853131226,24.170390165004186,22.676665901669914,23.728311232360532,24.745266794901564,26.052064732993358,32.45052969485032,30.203437450862193,28.258407637225506,32.49800434719061,34.11366759313208,36.83608380106306,38.497192295679206,41.84237507647095,39.09544058306781,37.31832007547188,43.01727655133785,43.24692575254617,44.19890621672118,44.136975798790374,38.70568637877547,39.4258086025447,42.93762931511208,41.19153092690134,36.480754259413686,39.31188354538185,42.7291391055395,37.346865842198945,36.23477974875382,33.34202937142206,34.1364370418657,33.24569102964813,30.027204200255554,25.81323110318035,22.18103351959329,19.054228309381855,15.606712424782906,14.939373871024923,16.239802601653096,17.95969004739357,22.25776025078287,21.668828722889064,27.54314298826207,28.086898397466236,30.494659652324287,30.81312075486454,33.201984839341776,32.3272429164272,33.6158381448606,32.19672073053015,34.259942022574094,31.81937500688795,28.695332752064346,28.67479324992953,28.71805533143113,26.666825718343162,28.247365827071608,24.81371698796951,26.36883377968692,22.844122922997585,21.269050535706448,16.982520781392292,16.196705965698296,12.302594288576188,17.357029265949222,16.83904926815383,20.75852286533711,21.827624253022424,24.576011928033555,25.271558269729045,26.80901091603537,31.02117978650961,28.53442245489497,32.699081834013874,33.027811992334684,30.519812376574723,28.74859596447167,25.053396443581516,22.60601472342109,18.02877615685665,17.826415748271668,13.813324644730478,15.146387078218703,15.538389073640213,18.16316745532563,18.50631663218205,15.213816190416617,12.68267447811114,10.415821175662627,12.687202855132291,12.557014507915177,13.199468205463047,18.243196995061147,21.239599946516236,23.12936639683844,26.743835422501103,29.43219263388452,32.07032046736857,35.737811428568975,35.60727146027571,34.217593744102764,31.5861891266598,27.07102464468297,29.124578861058225,25.261206749222353,23.108613218839142,22.307306104291044,22.222444896428772,25.224204503710386,22.65813274116419,21.100156257903908,23.638730359096996,20.85989379907279,19.211127866943112,18.124649577568444,19.763958994510123,17.059295156801127,20.64921897159977,18.420441483606286,23.239680588642727,22.36045020356796,20.19034534839091,21.08334864715885,18.55773227016457,21.80172889263649,20.169173393578284,23.639471231338096,24.001226721332827,23.412462107055486,23.98371526162349,27.369359807344846,30.227646094537196,29.933406613016473,33.498332574610124,36.31343564950006,35.62859183066266,31.618640584172763,31.164474618781842,27.40959661222291,29.07622116796143,28.687504054850777,27.922962125026434,28.483967367745493,24.8687372518537,30.3121365789176,30.582067296428477,32.73352152042733,32.35442424588294,30.432493873644376,35.52832722687385,38.23227794338539,35.33869110563388,36.0320541478381,33.385338645008176,38.68615237632055,38.065446958379674,40.31255439365055,40.912819425091854,39.31782345512745,39.82442627026182,38.36754490823198,39.2714943007097,40.739912925467145,36.951491429001926,38.44487427345347,37.352812323077984,34.65146782695559,38.42563124255003,35.68311988651249,32.28377363248251,35.41213930252453,37.41110339849944,32.87794084253632,32.401627137094806,36.45008624576565,36.48310795686379,31.753149079789566,34.18416755610507,36.71760690053294,32.90076038738828,31.886241622752983,36.5834362484848,36.75355392990497,40.9506184680524,42.212636068734184,41.18582722027182,43.87576268625194,48.12312105360918,50.91070875278396,52.66552051871244,52.49976883242187,49.921986576107976,51.00753092168898,47.32158321108761,51.62092583724893,52.080172190161946,46.00606650914976,47.500122362896064,51.922033967374006,48.77527073694744,45.591156551050695,47.990909694685485,49.760798441824384,45.99735862000866,42.9054253567243,40.79639424660042,40.211023020409655,43.29157559792997,42.78936730267226,42.899537763676534,45.112677558619154,40.87415058689169,39.05717823550512,41.56756289306275,39.73936122600872,35.422682510802424,36.83015415424,38.06383417578556,35.42607520814726,34.54918789996095,39.5641407885302,38.98386960517203,35.043357286521434,38.474654896061146,42.27063864940971,42.05126958802207,44.025873009400755,42.27643214589286,46.47963726927544,46.34761455392032,41.097968071456485,43.95582332908692,46.720341134925135,44.17314954447239,42.11868717414811,48.0648833862598,48.22298485626714,43.116061174903514,44.481977084916586,49.75192667057233,48.587879069429235,44.906850851425155,40.56399941260283,44.95400730456,41.272130712143934,42.3565335886741,36.99759143890433,35.67332285670002,31.203440870577104,31.989762110985975,32.8082309720289,35.879926222463965,34.45781244285238,35.50549215977319,30.510596676845942,31.930001838054785,27.15325188416268,27.78992896448801,28.1115033101515,29.620751108711293,26.08496837589848,24.384591159815788,27.14323586999711,25.11474226075836,20.566532409089415,23.08500472972884,24.80948013740791,23.414506870026056,22.08204739800046,23.704372506765274,25.93213192380689],[23.90139328600499,22.611137253440504,22.388897800377066,18.52611017179725,20.39855204060016,15.13866135423742,13.829214502990824,14.516907843938275,9.795222342223115,9.889112165089061,9.46521147854623,12.569776768666118,14.292840587888564,10.955444408211363,14.63842409120008,17.318288609155925,17.71693366594438,21.308303249900415,24.28573305433446,27.323940051688645,30.4442648955637,34.261147267521515,35.45428894761665,35.64458308555539,33.19268052949515,28.78579545603386,27.2990831156315,23.193107178758126,22.548327578976398,21.718816820508085,22.030673051102667,22.62472149227483,24.813016805560366,28.360571919133825,27.524551614703693,26.507297796098,26.66992594105349,28.350569435229772,29.406812690057198,35.69838566653807,33.80027907536249,32.44397844682731,36.728179217220415,37.934956197943926,40.74829178233188,42.01761482038571,45.57940948446835,42.911135373429055,40.62292893996866,46.24468547510593,46.711374777282295,47.33651442287921,47.519138211207085,42.334230397720795,42.765478600062345,46.61931893410571,45.211588135385036,40.45934772542444,43.294415948279905,46.98741089729872,41.84673758528471,41.01426828454714,38.06037362764785,39.26798204088714,38.154463426591455,34.72076471914195,30.976171752074357,27.144533757990178,24.4451950272191,20.9071960221837,20.54653194079736,21.985749972497043,23.436815222813472,27.766644348642718,26.686530410306613,32.48408798766179,32.790189596504355,34.8687238889712,34.99077757221344,37.30614951148936,35.81560661366881,36.89120946315572,34.73620656310075,36.677061692893126,34.45718679716329,31.574952391836177,32.30460324386021,31.934939683890125,30.73169520010455,32.0766191459435,29.08621326185204,30.8531258946059,27.074558144154164,24.905964376794387,20.468573686098793,19.55176695856034,15.500499737285873,19.554169473676236,18.030949138705726,20.605954999308675,23.01954291749931,24.544999203830447,26.402533146761677,26.87849552800965,31.415212246687602,28.243668686512603,31.931593930337158,32.23422827567036,29.123107493061955,27.448689140689815,23.380447812751466,22.09085703546066,17.33700753812977,18.301441903026788,15.54420820578556,17.307024887461115,18.861996767753087,21.93676386996232,23.15647995115192,19.800597643764362,17.229245681263716,14.261366241509537,15.499222538778783,14.085206015217937,13.086226678063502,18.212040209216116,19.618550854187355,22.428844840438156,25.879719238439872,29.193669744035954,31.377950826685048,35.108360926807784,35.663160979119034,34.41617047507211,31.957546454654263,27.462971252116446,28.881219174266313,25.70967205371541,24.09550252827081,23.96473349072517,24.718719546541752,28.334905143759556,26.116412825225233,24.01079570363997,26.8047032440089,23.842722520038084,21.656393587349417,19.948527576530523,20.559453784494327,16.967267620418145,19.560966392499285,16.758512265570502,21.471843196986693,19.654197844574217,18.641953606416426,20.34110338814479,18.56492452487264,21.47548882574264,21.14431524226826,23.957107792245107,25.09234600368891,25.644772846534828,26.140046571099763,29.872497770973325,32.40186122102748,31.8524068958806,35.02328937054028,37.92995105087858,36.600515531068005,32.69836622787872,32.04917889611241,28.676855738950497,30.596879675315293,30.221781220501896,29.672894152021243,29.8604949383238,26.701086701168762,32.00229920133076,32.65400467505604,34.30234826578905,34.06399292623082,31.194754069491925,36.45694834139693,39.37382893633515,36.71606262262583,38.23345057114782,36.138622586531255,41.40460151457363,40.93374209281689,42.68763180343262,42.917411201148404,40.982013634085476,40.98676664565677,39.072815918868564,39.51885487753248,40.47124461892112,36.34065004935723,37.351750329839284,35.652660971404664,32.88616858700164,36.089570115605206,33.206258623402505,29.88704928798522,32.636406282398575,34.279827313561796,29.555012993148566,29.08490987257984,32.84309165572144,32.58263494130209,27.63660350844923,29.96871944081486,32.253317071929615,28.241387380393665,27.195596119797333,31.83860815594443,32.366733065015076,36.344878580692686,38.239466572891914,37.2778070100177,39.73410371005884,44.26628704422846,46.75133119128102,48.94780689523052,48.9236897262291,46.66516442066484,48.03695292113469,44.64867349046903,49.182571982741344,49.331568834659144,43.40219691554573,45.317108142134245,49.728967621021575,46.46000430307604,43.57670121127354,46.39508464926111,47.87229566406784,43.913354036079845,41.54639508158405,38.77861573821929,38.65490350651534,41.503375962445446,40.44053997163532,40.74560152226571,42.585023193712956,38.684569096704436,36.70592726353444,38.56997444301783,36.87526567250184,32.67325458963913,33.56364096047469,34.4466914432331,31.664113484121696,30.620312325300635,35.52607212144681,34.69060084368638,30.49755760042034,33.97478437887321,37.80660852616313,37.81486779469285,40.11661996088277,38.79406104480642,43.08187569245359,42.516193902717305,37.42985693087588,40.75359624623571,43.27228220323778,40.580274459774884,39.058998751648005,45.056904205623205,44.879806632271304,39.95016453708182,41.81949128027593,46.90154980128209,45.48959591352073,41.921779154491325,37.47101749588515,41.90203270566446,38.0950793543825,38.67573312386146,33.325031387599914,32.01687863445117,27.304294162123902,28.32828580255966,29.604696539082877,32.98014513154278,31.942196459150626,32.86417684706109,28.11380207554834,30.014593528323076,25.472704020726134,24.91046953215442,25.385253812939553,26.395204879353287,23.27403494555938,21.320230099888498,23.20823338072008,21.12075322858766,17.038493514962422,18.681295680414408,20.02345235658657,18.44860957607614,17.526975387482025,19.26048014334858,21.533392687071988],[24.130693491298107,22.62599593923963,21.67376790185997,18.780503739504297,19.443973136669516,13.78464386835584,11.855488478197584,11.041828200379047,6.310891493717613,7.176266850927652,5.983212130264667,7.999605302610533,10.948129445654907,9.087675059666521,12.132012287572339,14.294902687519487,15.650374967602271,19.548048382417154,23.424735741306915,25.756705042717474,29.328182809855797,32.86230703522131,34.59068672239841,35.12081007174572,32.28234440214489,28.056766478778822,25.999098056167103,21.791183909770574,20.392018349252833,18.695179635570625,19.305965383939313,18.916956181716852,21.037963803949854,25.013269493909373,24.160916854642718,23.712047002544804,23.32112047591119,25.906898187177443,27.1674172335703,33.22859254100461,32.14339700256517,30.776840061305577,34.859859495710026,35.96780063395908,39.128104221433325,40.388075646652034,43.86918549875886,40.91369076332989,38.52421073371095,44.07431544607184,44.2720486377662,44.5977198126308,44.69948163956416,39.83257395472139,39.74721156663176,43.734721588008206,42.75718497701133,37.88274784927916,40.47771398911377,44.49490216355425,39.71982610313049,38.978796027833816,35.860973631917936,37.70056451615591,36.520454118981654,32.77527687671113,29.71216329936327,25.53260030821338,23.71973943392675,19.927784483386173,20.35323543323727,22.25019155373341,22.73646102440785,26.974433629830493,25.004509791586717,30.593786056320628,30.58627048643481,32.21570377082842,32.200359404768506,34.55477471660376,32.62796677072531,33.83870026262769,31.203575166704365,33.37350327812117,31.61153010932495,28.532361386472054,29.59778346928764,28.609352545437414,28.052350367699987,28.957717613382762,26.432842300544532,28.47071943111105,24.547425703714886,21.902404541534807,17.42413855043711,16.745898493374753,12.681753726228617,15.644189352980266,13.62761167598648,15.758480797493881,18.541304063080407,19.878693586030238,22.160163986327266,22.670618400351973,27.611479668301957,24.683043102597594,28.411172590069544,29.21389720956614,26.346557604568922,24.107000680322777,20.514408207733837,19.241079006075694,14.561394573676951,16.316266046144122,13.7253356685952,16.47338805747588,17.972970579431212,22.040591378728042,23.076344876394202,19.03154582616761,17.17605423077777,13.954991013107225,15.943231407947007,13.906581549023066,12.251904049222704,17.16328604793538,17.86278311046292,20.432867293667176,23.64015051932862,26.52690658448389,29.38435686360466,32.680149399662014,33.472642923712776,31.65316559505141,29.940296835869102,25.639914072012413,27.734865524887105,24.92956676022305,23.79811282885488,23.131764988023278,24.784334811889536,28.262862553958268,25.628760019136788,23.15124943276741,25.346469949120912,21.87566471874948,19.835806752963205,17.278340608084424,17.418220043525483,13.464080404166788,15.641065009611397,12.285142256806148,16.796076249576206,15.07730467286157,13.74419643991419,15.474275565321186,13.984220276195835,17.09566265764261,17.13857629360835,20.31887465788702,22.307139560402437,22.916163338056705,24.346565975163283,27.697644231173957,30.707114754186897,30.9264341506989,33.62999476889006,36.95053776952551,35.62668669234376,31.94338318343854,30.812213576205558,27.35106122484699,28.553314487333797,27.641500954020543,26.67799209124895,26.319675879678115,23.102775168871702,28.130524250256073,29.334631499177007,30.830552668470855,31.243784544188234,28.059177309695418,33.591286859870706,36.734052454785335,34.342358869450734,35.87904288737745,33.93860020953312,39.287585901145626,39.46371615340257,40.87626552453624,41.21148745958473,39.03282390005398,39.197927591090554,37.25578105533746,37.57990384011793,38.62706970598116,34.712806225237614,35.411536516169754,33.91537298685421,30.663838340824338,33.86387735855088,30.575494114447544,27.583203710796614,30.88634267493599,32.14193075564438,27.4188069645161,27.911487432489444,31.39313244657435,30.514515226405273,26.2291258312105,28.99354271932663,30.987294325452453,26.859241769553446,26.668816306054282,31.346297081838987,31.93406551590597,35.49697115485065,37.83716395080014,36.32390666086007,38.52054690145062,42.854759950453854,45.18259911464857,47.24936734133526,46.77743590825162,44.4111479760628,45.46270297567657,41.879822302593226,46.48786357255556,47.00600882231168,41.22406325305482,42.828870281195336,47.5257906507248,44.60257739428572,41.594953804375265,44.33742748907409,46.30100952495797,42.53314681002996,39.90822050021574,37.04192100921396,36.20963902995832,38.884149002491334,37.70312134538447,37.54453904875235,39.19263593890313,35.09794502340089,33.58253207077325,35.41208031024468,33.30990731461919,29.315191614414413,30.69458416198603,31.34190238884571,28.525316364202276,28.03432776097876,32.91039419030915,31.974590149209813,28.1469301209116,31.952164004413888,35.620330235480566,35.775833333219346,37.72164445017142,36.19967949837417,40.55857363608263,40.42129591759162,35.520736596256434,38.58532933086305,41.468685182700206,39.061576637778096,37.46829361679658,43.38787442055876,43.71597012412456,38.98332058536042,40.59170370013583,45.76781052875161,44.801152050435796,41.4059929613698,37.19434199622065,41.960982694904715,38.513506392531696,38.78451360138427,33.60064475897809,31.645598461667547,26.976244104077047,28.765732641967247,29.776192558949834,33.20105713093733,31.817634168302686,32.03193810716985,27.009680707656095,28.340097011925835,23.80007648152679,23.056734641942768,22.67032691489278,23.455183571062733,19.83404773119579,18.864803977867368,20.938807379761464,18.240134924675093,14.326149992476205,17.260835631072702,18.032873543899925,16.1866925033611,14.617950365286628,16.152565767685882,18.384457184356872],[27.46193548330217,26.41112745555255,26.058501500976494,23.100234403437042,24.41430826836989,18.581859704264573,17.021150299993664,16.094871503665303,11.490399784013398,11.806981753782349,9.527445740757997,11.145976842830096,14.625150792393335,12.068288328303872,13.868788316572095,16.639008926702687,18.508225662537622,21.593428892705244,25.258078090720854,27.987089958538068,31.20321162600766,35.00582712984104,36.476292216183445,37.24173672459867,34.78692554632055,30.466830933021573,28.932136335307938,24.88993297780787,23.236771567131225,21.6718204693646,20.654581913502888,21.16760404164995,22.36635623185096,26.0938128750691,26.078555063879687,25.878481473196867,26.194979667899176,28.928246578326185,30.589369260555312,36.70860314943826,35.56237240359947,33.5751524741452,37.5535942513721,39.11501696727907,42.30475136819716,43.925551361146,47.21828916071286,44.09159996483446,42.13475063893254,47.75665250564594,47.62940001094913,48.10110083138664,47.88862762961043,42.915740857168394,42.74969918112792,46.45451787114263,45.4050997193857,40.4191199250787,42.705880890323286,46.69107095161514,41.825639855999036,40.492975849970755,37.148250852768804,38.77271829231695,38.198230001613595,34.56439046655459,30.989061382383646,26.80683927080091,24.657671063669003,20.53162082908523,20.79361962846858,21.79816789144261,22.478479341954348,27.117759780737803,25.49963751864217,30.746399099898316,31.660114341149722,33.059132291141744,33.716381146599836,36.53167138062613,35.08553042450646,36.85292716235068,34.51139737373567,37.05885524557618,35.41568783747937,31.951694062322098,32.42989367856478,31.21657808164177,30.073946101316384,30.286702539350667,27.3502444949454,28.532142399987308,24.556178924931405,22.09188747554654,18.112804234450234,16.346755520596826,12.894057996966211,16.859043436092506,15.70438361408572,17.831908005467085,21.196500829191958,23.39238615010064,25.71446965960356,26.910754399700583,32.09722482865913,29.51116252582873,33.303676180798305,34.290076647292466,31.495106853539347,29.116482625432685,25.664027305835734,24.34528577985351,19.696115508282812,21.210956201101258,18.04111858859614,20.558916571970638,21.431481581232973,25.030864183489783,25.384499504522854,21.366339292666638,19.49467028703041,16.810756783811488,19.288589023021892,17.990928671245356,16.99013899819461,22.05621745576227,23.04940456868941,25.60306186901009,28.833046163414522,31.61071870062666,34.56940571825814,37.84913723840882,38.56492232507322,36.64340566202345,34.958704197469906,30.62951321335506,32.768685384819555,29.734800392762125,28.308871179455117,27.565077903360315,28.60251882473117,31.828537676615557,29.065462369838233,26.973315796747002,29.063342521747597,25.616442215863994,23.92248322472096,21.53742866912732,22.06587215773728,18.279688950973753,20.4341133556339,16.61961844388793,20.4933256666769,17.757234754299876,16.20457234467992,18.66662720474932,17.683176272669336,21.296009282303604,21.098521531167854,24.941492498681907,26.976671637876674,26.989206705268625,28.66122274066661,31.804591937115774,35.063959660586136,35.33313951608664,38.276553543549326,41.515431378315775,40.3979436114532,36.62035243453369,35.636716459304814,32.046235003221796,33.19192570074897,32.19748892366529,30.982597564527943,30.52990423158353,26.917645811803144,31.816109851942006,33.259339946844534,34.99620771718089,35.664153504936536,32.77589068140765,38.34876989362485,41.477408680832674,39.03647674515443,40.183817342893356,37.92119434306074,43.335400303051706,43.47126631099274,45.17192152344731,45.6956477642351,43.65117545434833,44.02083322522922,42.21122448687486,42.64471299396609,43.77240903053732,39.87374838038949,40.61194805012435,39.08399272548663,35.835198723591496,38.93061342461229,35.56341537748588,32.65701542045588,35.8588551478746,36.96550395657834,32.18451001217398,32.655576876294454,36.01143173331498,34.91852722145373,30.56164698317498,33.20351687980829,34.99456758923995,30.692387959824693,30.42000558383842,34.99992242514415,35.89545279883202,39.31748586008511,42.04401347743153,40.69759799022931,42.75389512794925,47.274286558140254,49.367877568178734,51.73217264011641,51.30146590193985,49.10460667796644,50.21571894377842,46.7122511517805,51.40355392357898,51.896271920138446,46.198111016222306,47.8683969549162,52.58829583782575,49.65958809435453,46.715633946590906,49.502822266426165,51.419683459394946,47.608057582269026,45.08530712983352,42.16789642657827,41.367496664913034,43.98359583980566,42.666572287792114,42.40172635809026,43.8121031211713,39.74971836314692,38.440413663499235,39.97172603926158,37.68684379907783,33.93797539797135,35.27645867541339,35.53197163349632,32.57804175819799,32.27643355930544,36.99047827369184,35.69366063220742,31.795612668013618,35.79180269637161,39.41322842073969,39.86804534678597,41.98347464916227,40.71392389656557,45.125159047140365,44.81292626397063,40.07229125266723,43.34169259417586,46.127028518761975,43.65537225607002,42.31380018415284,48.237523390631125,48.39045615067223,43.71171332527752,45.52401005975752,50.61936555394098,49.48356436935315,46.08738552828714,41.77378711496157,46.41979567036017,42.78179645437023,42.97297116462712,37.74915901820258,36.045089748810646,31.261745856186362,32.87126887176541,34.17628231280971,37.66593387096455,36.512661975458485,36.906438373440636,32.01600526791882,33.48995452414191,28.973517061113885,28.045884495587686,27.623802495750635,28.10801022043013,24.505785529428273,23.782152955984337,25.369070351915422,22.38988039795622,19.028117943354594,21.45614859460243,21.62496106570204,19.152157973329352,17.67908720660526,18.71958068104112,20.791098225011794],[26.500835025753304,25.71588571773774,25.929688317282913,22.670622121617647,24.819718548365927,19.006871732460112,18.03587981716499,17.838616150457394,13.188906186307044,13.758002087526807,12.139186758152208,14.229685730522052,17.285864202286294,14.23083483627658,16.631914330459324,19.537432227228972,20.877676346995898,23.98405517486016,27.200486518182473,30.2613462273179,33.28730005425076,37.21093311665547,38.416015807715546,38.94404819000016,36.65449107626402,32.24254558962646,30.928720790371834,26.893884524976546,25.68207592087668,24.47539307431716,23.599951140445185,24.367987371023105,25.703593430074978,29.315589525498353,29.22479885316476,28.75799169161469,29.175503578259804,31.498061606359578,32.97032022287321,39.20469940378013,37.65369595875234,35.81025920890116,39.922097195142676,41.44387265231919,44.445553876199284,45.98139509166734,49.370666973645626,46.43683934937292,44.419978932782776,50.066383530815735,50.15931671698193,50.73446515220464,50.63345809824605,45.52816685879158,45.61086206216373,49.318325851569924,48.08442667431453,43.16797581444816,45.61096308302297,49.45659740182048,44.42330686442208,43.11157553764689,39.86786566382179,41.18812939266044,40.59268183271679,37.10638805065006,33.2262052591172,29.230401965982228,26.628293437577486,22.68019117533317,22.50143302305294,23.256720625393953,24.509388107151093,29.173940798779324,28.022361361647974,33.3791250699911,34.39919846067407,36.01787987757235,36.686353438086705,39.43724026176749,38.1056254454796,39.71958492125365,37.4904565739399,39.859121350875014,37.98967418194899,34.70678295034422,35.17237230977253,34.256695627280436,32.93301952709856,33.4067475635147,30.30717114699834,31.400812575305075,27.49811481622088,25.229970656857983,21.2510964507335,19.445705765975582,15.990309198513534,20.232401206339343,19.062038639602008,21.114326058812516,24.49622460729844,26.43253425091324,28.777292317980212,29.66231762978683,34.690492873499586,31.789306438923052,35.44991729587577,36.14876469422115,33.07533319696661,31.028277955317915,27.22797353648309,26.170402368679593,21.440988299645838,22.811696567344253,19.833087612525244,21.916977196960445,23.040361608798868,26.16496348876585,26.78872316694216,23.170429140466673,20.882413347903377,18.228265782288233,20.112897667436474,18.931923721591016,17.95678500888458,23.07975993357147,24.067649117679977,26.93958468269343,30.252508615070134,33.404104731569866,35.887496020848886,39.41708749833041,40.16060912264549,38.59364579566086,36.533494903067044,32.108278122877934,33.73660097300708,30.67012772953311,29.107590934865904,28.786661701762547,29.500365181762735,32.91052432660163,30.457421296667494,28.467007505099517,30.94472085279141,27.7495248635091,25.854163887411485,23.802385562263684,24.35119047679259,20.542359202788994,22.69956287041524,19.06232459601575,23.088028731860895,20.127622719013395,19.119086613352433,21.68171863420117,20.659936146553584,24.04065968432484,23.94987649258794,27.4027167875022,29.139413296227147,29.38834006615717,30.511832305889467,33.9485286968548,36.8609204612249,36.642352881348145,39.75819774213108,42.77977278369656,41.519563737289076,37.65189698066551,36.894968500081525,33.443420046981146,35.04022938555258,34.351389568600574,33.4258646601572,33.20701206064468,29.74457225700628,34.784730354711314,35.97976374592895,37.68484340927987,38.00024310128201,35.06692160437775,40.52915525389514,43.579245861656425,41.03941400250296,42.365846048963846,40.13952894309619,45.499009833511174,45.290676575933944,47.079472635241764,47.45840813717576,45.47815031761151,45.64041367426376,43.74389406082473,44.14127778225496,45.095239686675676,41.00136393560131,41.79676454802472,40.01298173270344,37.02016522948273,39.96999797129639,36.794854716999524,33.73597531623716,36.533973827514146,37.755523870136464,32.9358472833878,32.89262387696952,36.30052830160909,35.4653428438218,30.709814667922306,33.07358820239869,34.93569914927426,30.65741176377514,29.91674655988404,34.42377200529716,35.396801473743295,38.96142576435743,41.61871384575431,40.60761311560473,42.73221649812169,47.43322027529502,49.52030781363786,52.08388666071985,51.94886818714126,49.90372409539568,51.27236476819137,47.96078025930001,52.6676706861949,52.86893234163185,47.13155620257174,49.08329049765755,53.63488241684017,50.48144313443948,47.68854782849026,50.619899714592634,52.18531520176319,48.2239040252543,46.03099752476217,43.01117443713697,42.720354561994064,45.37459686050523,43.98356175790349,44.030777094251306,45.45545595206669,41.58992186600586,39.975808134660895,41.35966523290552,39.342679796962855,35.504949209738484,36.4353751024346,36.727807836622134,33.75661122416289,33.10406897152386,37.79373891246656,36.4798200592382,32.31347902721063,36.13278425450824,39.845819119912555,40.28707305206692,42.6917143164634,41.654770699503196,46.04347704437018,45.37012624866431,40.58264662970079,44.116465164938,46.62519181454899,43.9595786159326,42.8072953649943,48.77447427990812,48.55070165950619,43.82410485389676,45.910476457781854,50.88906606023517,49.43661644036923,45.985166065624334,41.528114043677505,45.9711637853819,42.11166357626805,42.336446484468254,37.05555271231887,35.730229764767266,30.891523595036986,32.134964748319156,33.70435613250233,37.21992503522287,36.3684885728655,37.11486456392611,32.4583101538658,34.34832746147877,29.904508282520396,28.779601584850603,28.849579782542595,29.325779523698735,26.101559461518686,24.797788220705385,26.049602240550243,23.38408483605075,20.07271852158241,21.60298148857637,21.92510186548897,19.54754553743057,18.547273598513627,19.724865695712086,21.82627285000817],[22.213231294549157,21.61901090595918,22.028315187185388,19.507738920947357,21.941011684490668,15.682372841098648,15.588300705991374,15.32874801148452,11.277387729926913,13.51283126518601,12.702602964987802,14.079025938495345,17.647522339228274,15.557011327011516,18.518630245155045,20.895342801529633,22.262867995475947,26.012795050995383,29.58547454104498,32.2425660753448,35.62662461314221,39.31051708885995,40.81037239877126,41.20554774217708,38.56491525609402,34.24201345716187,32.41765246803737,28.222644994116163,27.04784989907473,25.409847442477595,25.62244870884025,25.32134676346959,26.992001194900425,31.06558582934036,30.590704310876898,30.324378629537307,29.967854784920693,32.61619903043504,33.80571243384514,39.879050654279425,38.624853215114875,37.3412269638839,41.48373224421635,42.58916953498195,45.64900382895405,46.81838441979866,50.3803182114985,47.540335490945516,45.06937930335337,50.604718494610864,50.93093728078765,51.22420836558006,51.380442348682166,46.5164402144129,46.41453152291877,50.42242731931064,49.45947599648523,44.57346059113268,47.10699656903869,51.1393273675377,46.328236524317575,45.423832975721986,42.231064992415085,43.918876759476476,42.94659952348471,39.27783706448397,35.908087477195096,31.79004327602054,29.58567603090017,25.71011687651164,25.776258217801736,27.05240746664128,28.032438095063814,32.54313634516621,30.933905541445753,36.374444356248866,36.855043881042505,38.34979973498032,38.62374842767378,41.13847079162899,39.24973940745117,40.529433397273344,37.75105202143091,39.9002509210684,38.179643665255725,35.199712422541985,36.31764678783215,35.221704340427486,34.64403655355822,35.225994134814506,32.58888609691537,34.16260613940215,30.16295052706569,27.503081907063294,23.322140228268832,21.93403547657778,18.269260823161684,21.41758602513867,19.419721668564986,20.445618361024074,24.407010257354212,25.195540276449584,28.231800153895566,28.197778764605925,33.258691170817386,29.90280815228372,33.12987169953603,33.79293807600106,30.388015035234197,28.445248179598856,24.533583674611183,24.329355272243994,19.744649007044497,21.870830825668346,19.89118934451727,22.220478828637376,24.06842632974973,27.60473997613944,28.880605720288532,25.182610472279883,22.919854758172146,19.791092667064643,21.087802094330556,19.095400999709025,17.1290354124111,21.911966611946408,21.680822610920153,25.010147681005666,28.06125047292069,31.518971501033413,33.690523257168344,37.1442128143762,38.37397067683658,36.896234908529074,35.05543827609474,30.770970989382715,32.025693983847866,29.572243733158007,28.507321706390357,28.53345162030648,29.9720382187931,33.74809406603724,31.500236243134406,29.084757244796876,31.654258543521248,28.368472985145228,26.128023112043888,23.709597626682953,23.511408219946773,19.31423477380279,20.633812801977992,16.886280020724158,20.683946075153337,17.339900709254906,17.410189029374887,20.24707491021778,19.700511925421726,22.540499565088318,23.38210825783437,26.11370733684771,28.31694869705756,29.409629917063693,30.454830130426714,34.06479733882691,36.70600124765293,36.402151035235505,39.11722060053446,42.231507911264025,40.528595508756055,36.836085787125995,35.87158632730381,32.74144029577992,34.40697323385868,33.71837920180854,32.98706819549166,32.53713018948344,29.55619082871651,34.4214389553018,35.78680769774638,37.06543442800808,37.43220186280428,33.84859198700999,39.325785552981465,42.4929312807094,40.17609899488204,42.11735395436624,40.36451193445397,45.6427807470724,45.59997835937682,46.950367270068746,47.05215585188109,44.80587997096008,44.60780482227915,42.401907826630115,42.45454043708899,43.047861316891165,38.812631326699346,39.220530345720505,37.087815715160616,34.04180945696196,36.557733243534884,33.30509780179718,30.394891907626878,32.95873575025282,33.87530517192768,29.017930674501926,29.13972901644851,32.24649006508111,31.15110565735166,26.43472704170973,28.785068254293893,30.419318808681624,26.057323519625527,25.49325074563814,29.929631826215623,31.10758868347508,34.42141936939694,37.515138838479714,36.41713339411853,38.3363859516995,43.12358698161349,45.01523491528374,47.77657657170553,47.66488977775406,45.80340755179876,47.30405352882878,44.190010719319986,49.00333080606272,49.04043310901073,43.460067379225165,45.62710538943394,50.158404332229196,47.00063400182118,44.41307783388657,47.57824612894788,49.00923744532297,44.995758676707936,43.26056266458749,39.829071667420024,39.759926170049475,42.20672400263814,40.46060169441397,40.619195097461855,41.800678741687285,38.20194957658302,36.492575500561934,37.4555171206922,35.567707522323076,31.8418116642523,32.434037736781356,32.52108776151436,29.51003976145355,28.764858012059573,33.3410971126058,31.91927239791404,27.662960158163283,31.485952378309957,35.182424625420964,35.74014019243392,38.272542567539666,37.47145485958913,41.871783423767965,40.99505307798612,36.36486500343531,40.10855536175233,42.493417777030494,39.811413641253516,38.983325257024894,44.907445692439914,44.57626890192775,40.04443074578765,42.3677117048561,47.200020354249524,45.70923421096424,42.40182814885755,37.99128212788167,42.50610896799071,38.72472033327411,38.546233537091304,33.38036681552109,31.895360536358623,26.998568597607903,28.596574689721084,30.34692659956514,34.00924834650043,33.321729407997566,33.7956621753397,29.34098576319715,31.403800871527242,27.242573302775046,25.305766462509613,25.377329227344458,25.486421365142906,22.633201418188854,21.261494576985914,21.872750333768767,19.198073965217905,16.404625873038597,17.373787682821067,17.30471725371647,14.865063995119435,14.189487091133943,15.529150774827247,17.656844596946442],[24.45600905119529,24.396010412184616,25.211403299520622,23.39277343151643,26.00071306352639,19.521831875738624,19.756530068767034,18.880001167028098,15.212106156891144,17.671803997000747,16.276185551241173,16.835422662576715,21.21880661588532,19.426695107041436,21.616101810625246,24.006733445163434,25.992861183412455,29.477839942052416,33.256877369650425,35.85027549644992,39.219612892700866,42.92828519547349,44.49259611622193,45.12054247976681,42.53598345243031,38.22673748775115,36.44295264171597,32.27968938747911,30.720101732887656,28.756288080883508,28.29014577919605,27.907912295991945,28.929446981841647,33.09109021606046,33.141220503068915,33.35208547240301,33.04173083444584,36.22061560469445,37.66653329824867,43.642994794936754,42.71763401577193,41.1708027045511,45.176365884118844,46.441967582118494,49.65658804117499,50.96090835220864,54.4151607220268,51.38674844862374,49.044280682621235,54.56378264279436,54.63534811282529,54.822835211058084,54.801998025976744,50.075324929815956,49.644138992041626,53.582362933564966,52.83060977130412,47.83414173810775,50.05422822841806,54.24219620608896,49.58703684865697,48.39015280872929,44.9887471319952,46.844293607640004,46.20608507548513,42.470936024469864,39.119439035579234,34.8785139834003,32.83766993315182,28.7196568962858,28.954470644684307,29.83645006109682,30.6037197129105,35.279821270529986,33.53515189628349,38.58430581769908,39.51017196832824,40.587166566732215,41.21469707631914,44.01334271430196,42.140281686940604,43.776369902144815,40.836571094163176,43.273510484328284,41.875334604785394,38.65633060226135,39.69103205485701,38.13078071788948,37.62324179907113,37.52099941890933,34.93634222239373,36.05622590699079,31.99297927784809,29.206894932410673,25.451580800832357,23.50872306418175,20.40557329726938,23.319579462637343,21.495647678768634,21.768004514700305,26.572563182743032,27.423014200888144,30.95197762007973,31.06311140805391,36.45840589470378,33.28060737994276,36.34877052996828,37.32775452852949,33.93821637385369,31.741718755707076,28.114013680488803,28.229716155726052,23.778993202728245,26.22832226139119,24.216404423067424,26.758448157951463,28.4068309819866,32.031545811199294,32.99855786732287,29.116782410088486,27.036441553682224,24.042693750346896,25.675937904239813,23.75931019033416,21.76731742435587,26.48415211920983,25.83415680397593,29.208250097098276,32.07172650246699,35.41167194664022,37.74181625726626,40.985659275473246,42.45446740529844,40.74634552501388,39.27717082668963,35.09803837528782,36.44382417650507,34.17312319806683,33.213336196985146,33.148673629246055,34.65244508525654,38.34577718538822,35.95940952957346,33.56193699538753,35.923002123637154,32.46493899241653,30.387217933834663,27.70044747222836,27.358987324009657,23.04419693445106,23.87105106538329,19.603514082369706,22.552634337201784,18.180867195853534,18.5777684244963,22.126813567149767,22.344065685274668,25.358192189443603,26.54145177562963,29.58665127333427,32.295892954351274,33.28958822785068,34.77674238793038,38.18465051125907,41.0619206994856,40.992341602966206,43.59367455503678,46.80852317736444,45.08190137568676,41.45315722083851,40.37544878450279,37.247190208967,38.676238683408776,37.75098794136726,36.767963241400295,35.957799267155615,32.863937364811186,37.42735279903079,39.256854819419615,40.48326823109523,41.3039102354769,37.57075628316693,43.17108729234367,46.452581002833114,44.28500652326325,46.18725934102551,44.42707211683687,49.751277598957955,49.95123634417773,51.241043182468864,51.407992506477534,49.077143755723704,48.93286732253609,46.68764002618954,46.633347714052825,47.151892922075895,42.944769171579,43.095151796809134,40.84097902971502,37.631303803065265,39.80386370041945,36.32900442268761,33.72858241928545,36.23878157868199,36.69936440155503,31.85046080480688,32.377773358079885,35.04354863380188,33.38127193346377,28.977022879073502,31.284266538104692,32.42285722462757,27.90904895877019,27.69927853601433,31.854058050744275,33.477681989758324,36.263890535334625,40.13196544095146,38.986477854864056,40.51341625023724,45.416867231809185,46.852386005261884,49.98833114375157,49.78195366215744,48.18881836726904,49.70590151424085,46.746701707304034,51.69785982361802,51.740990449675834,46.42854206429234,48.65967642012834,53.272683799719374,50.2423109028185,47.80540541269639,51.09817041252314,52.563316598784326,48.56615734916577,47.095545661755345,43.39027178637881,43.22717699024854,45.4340822746037,43.33198917872704,43.28302516890422,44.00641172516103,40.55747187734832,39.18197560500726,39.582365238420614,37.456611192201784,34.17307208819364,34.70531229577912,34.174625818766856,31.04055096286511,30.670777129157294,34.89450736552397,32.99514975799366,28.851978094931198,32.91667380928867,36.41043806457613,37.418672627351754,40.04305906571003,39.59167039304477,44.025797466203045,43.00361372457806,38.767366637975535,42.70175471613679,45.014369320057035,42.387366258247255,41.98522140964986,47.80215501329669,47.40443889684803,43.153569519410944,45.698370651173065,50.358242450368536,48.833920139972435,45.69606736410087,41.33965841767108,45.828695199900785,42.05852389883433,41.475989339105915,36.47861246105167,34.973416160109124,30.06468884772105,31.88327202951984,33.88408522106112,37.63486047193456,37.14600718911997,37.41429544479923,33.147171561756004,35.20210567084471,31.235346360623872,28.74358976596653,28.47392799778606,28.031161633690587,25.268279043969994,24.495467956431824,24.394240472690868,21.311482398782346,19.489322150129468,20.193805533539454,19.070420606117988,15.9593524281889,15.338480315691475,15.980884509975345,17.76301436691208],[23.797061935437025,24.213663675498694,25.244383791476377,24.728909942867084,27.2766974608901,20.679039713804602,21.607790125251476,20.16424330814215,17.54853682651274,20.9305896815156,19.720771397892364,19.273418804408973,24.21980724027194,23.34233243892841,25.31971472283674,27.2604461624118,29.62650669032593,33.31817756126639,37.4838176352142,39.66505601867568,43.28676033859052,46.77929812277518,48.64562193145011,49.363458337841706,46.53438808440696,42.350752949917165,40.20049967668711,35.999124044972554,34.18628587105192,31.711705197383996,31.620731455305698,30.385154756511607,31.214340383723517,35.68642417204898,35.768036962050495,36.45550420575944,35.585881466732516,39.34514832952179,40.755547218517705,46.44389027673405,46.04898239238175,44.739031645642484,48.616428341273675,49.6640233006023,53.03452707935337,54.15536652716951,57.62522989978661,54.525963993124535,51.95102843435504,57.32045931976154,57.35698959634687,57.227712536916194,57.269509482524796,52.895607737987554,52.05759691642607,56.14956918489545,55.792585379615524,50.780954968155584,52.82057281223886,57.24650846601471,52.93465041916427,51.87875458325677,48.401702140169284,50.68498045077056,49.967424098674115,46.057886406992786,43.1865676277613,38.79545916292965,37.229500178945756,33.04722690967018,33.602402549671396,34.673193622741614,35.041534829828514,39.64861403952698,37.43570188953069,42.24705612487539,42.988205224284094,43.669778894006775,44.192460627545515,46.95767949164747,44.662363579530954,46.27182808337195,42.82137202131422,45.27182000158784,44.269357907962416,41.14298804191208,42.60672316872888,40.58786944841839,40.73435901027638,40.25811606198479,38.13239397519277,39.35353931604609,35.24296187041846,32.12728877208292,28.575877703670923,26.712205194645563,23.888230143543616,25.728254952459192,23.49443158558591,22.451653658634033,28.02200337759086,27.99195315691669,32.280481533619756,31.811960956082945,37.34643067934696,34.08666738139924,36.63629965831256,37.86590704882178,34.38124370720357,32.06214659689576,28.77464073046966,29.711097588403707,25.671029845253564,28.792254554429334,27.469888486075888,30.306834351714688,32.229573464253455,36.225377463823946,37.38540955083161,33.312503543300515,31.449862659688463,28.276413782905117,29.81367647630431,27.455616751992487,24.892251735611623,29.148592045790906,27.37863542039373,30.911720465173417,33.33516640120069,36.6430104827187,38.91269653755723,41.812961008995465,43.80144548106087,41.94042586657343,41.02364572308434,37.13229805339686,38.3672030847995,36.72405896612248,36.24293096054416,36.25864109990089,38.362883516830536,42.16934019644907,39.79706058645792,37.12497150963569,39.30379394103453,35.682622633843295,33.54586255529025,30.445131303499714,29.484497844913236,25.008181544260097,24.81896104591218,20.34630699437541,22.21067847151566,17.044620046799768,18.569564138339274,22.578033481225876,23.703709552435956,26.282792679203897,28.346517315915523,31.007830895812972,34.390175778675605,35.87075891306167,37.66657795022516,40.948865715848086,43.81312243944896,43.953466856289076,46.104648720634934,49.475646613526195,47.45758272605513,44.073853989505274,42.72170853931272,39.848622014797314,41.037984246088314,39.90193914811081,38.85546888236541,37.5955029870596,34.84578961661063,38.934215060768764,41.22033779919219,42.06175128867737,43.29229235635757,39.03380896988721,44.65128405948515,48.07372867959967,46.23729260885651,48.519251541094036,47.13042480695114,52.37581028587771,52.94441545805582,53.823104017524926,53.855650519874615,51.270278408804025,50.93885699271523,48.477884463739365,48.09030222839094,48.313760281543665,44.13499605986828,43.77511956847773,41.27041624387526,37.88644580561954,39.44225695909022,35.750419641484136,33.62614331745682,35.96359762013091,35.76520637455826,31.033032156172943,32.176292249414885,34.15291285108021,31.75762804112769,27.926649026154937,30.21639999470206,30.687035415593506,26.10040666880544,26.550267762104877,30.303837262992328,32.39104194977546,34.40374849000122,39.21821794411648,37.852847260398725,38.835039582899476,43.76130696826965,44.64653606054469,48.14275627270738,47.77771622778555,46.52063728621892,48.06023498313857,45.367875638759216,50.44939685210497,50.450592613332155,45.55806960078914,47.89874784710824,52.554201352259085,49.72439256110901,47.55395082900498,51.04661362858162,52.52052779149919,48.591018503998114,47.60181695823192,43.450426699516804,43.24560226969408,45.05461140263304,42.43995856307329,42.233690806383066,42.373964613502196,39.27753623363019,38.19507616015453,37.82171114933996,35.580762047591264,32.85507203301634,33.151495013403625,31.926408596209118,28.736455077185255,28.730633993849587,32.45378580160227,30.090849816296746,26.164836913990882,30.407652865991327,33.60631718587595,35.08685152650784,37.750704487645365,37.721985681606554,42.12874133929071,40.951941496765464,37.259310187698134,41.36389666736116,43.57313067038108,41.08571954424247,41.23032701238139,46.82419324274474,46.42342455091945,42.632603318814354,45.40397159875146,49.78836419044717,48.340761902112966,45.514570474333325,41.36193282492144,45.891821204529016,42.33943944529764,41.12320208635425,36.472299078402656,34.710974760517914,29.911717979547802,32.267112068065266,34.4387263775867,38.27087706538857,37.95785061844465,37.731434761868286,33.79294212627339,35.79468701063254,32.28334347523457,28.88161105671916,28.21218879956773,27.035655591308373,24.685283336848553,24.53234483884702,23.41974121479115,20.0570680961771,19.623876104368268,19.872331246599444,17.50281639291087,13.910276651068981,13.544436553513409,13.526996098614921,14.837102179134911],[23.864084357028183,24.68358933382032,26.463266487634158,25.47638015298713,28.926546807808585,22.548286774406428,23.86264161415744,23.230987352065696,20.268636621358453,23.379238267804258,22.398330871381972,22.704398543398334,27.198358991934935,25.60335059427105,27.99519755263909,30.27151499372434,32.1980319425539,35.83346947337055,39.57338027771047,42.17048590707497,45.569166313332516,49.257829864740195,50.810748583462846,51.319667021968165,48.711353847953184,44.39672642737201,42.54631032323417,38.346740651241454,36.91842713143589,34.865362107687695,34.646951577214196,33.95298368313377,34.91178686304593,39.20967962691664,39.27879758246482,39.62083904361643,39.05336884806104,42.33911840226835,43.63902546736878,49.54179529810542,48.645468642182884,47.35107497203172,51.391265542992876,52.497220631228494,55.6752505315764,56.78978677000016,60.345396999064356,57.41837622371056,54.865058354722166,60.31739780440951,60.54656991145089,60.602194787319974,60.710355352824756,56.09345467775072,55.58106791983027,59.63497447975189,59.00081717650623,54.020393252429805,56.23548019808837,60.494212257113396,55.91574779003128,54.78955904468653,51.38053128144483,53.28563899412738,52.61552146399908,48.86167361647867,45.54998377291586,41.317024250003755,39.23330228631818,35.14683232534484,35.290318375361714,36.070962142812284,36.98014574964519,41.68096481485975,39.97288780583638,44.95081169953129,45.910131561587434,46.87610312588347,47.4949648286596,50.26999006947997,48.21446588228327,49.748770443172546,46.54362823867148,48.86931987519874,47.55713289883374,44.520354331072866,45.81838750012822,44.15716693322278,43.91315412309648,43.71248242292814,41.26121431420206,42.32671124443561,38.249200926625285,35.37612636548963,31.73400038889572,29.723512660145353,26.762255701752146,29.33595064771653,27.296981330260248,26.783045912400087,32.07186732266368,32.216612167367764,36.2529083799925,35.75294090212181,41.105932167764145,37.604626172638675,40.15818295544757,41.03910802365702,37.324347605522604,35.38554870756204,31.713015855639583,32.65978801803542,28.460268434175916,31.233240203767227,29.82090847998012,32.239142546850296,34.246592699804765,37.75165916148122,39.04340754258021,35.311173695468405,33.08053817083546,30.00017527293031,31.158446222292014,29.046104734092204,26.700575090299285,31.076563376320305,29.59783271631077,33.34906417677008,35.93652177727649,39.58879255083157,41.3925894950306,44.6054320638569,46.4981410695242,45.0249883246312,43.61577321792344,39.577221015631615,40.33472766528123,38.53361963759526,37.81663318027733,38.193142259993756,39.83706954481924,43.76150208631834,41.64849871425647,39.148669081127785,41.69794950438326,38.313546169752186,36.04202137269183,33.32465521403568,32.60151681117203,28.1725156456283,28.34483159237262,24.141746106334935,26.468243829663553,21.531673663565293,23.00621155662733,26.85569300091021,27.593815396564352,30.17622475173783,31.9846868087197,34.5008164644404,37.422878096970685,38.92854793899377,40.19460674409506,43.76150659308967,46.339399016722226,45.9823428984728,48.4058535924999,51.52134422345927,49.4342060552854,45.91941286508058,44.85780324285532,42.06210615717131,43.721567755787085,42.91219864514281,42.12335311384003,41.192362751139186,38.427708019287934,42.79959649330473,44.75433615879572,45.696045481518915,46.50991417873582,42.364318380708816,47.8739520001855,51.18509388103741,49.17129508063426,51.51140246752425,50.03958890653266,55.274391212087046,55.427704424886926,56.504037735061026,56.43612934017287,53.97265615034586,53.48989013869064,50.99705029839524,50.64757169348715,50.749886003480654,46.37865189398674,46.17916174743674,43.45318773318501,40.416481120672636,41.89860328706266,38.50647654227253,36.153150089425246,38.01676701417511,38.05285157333765,33.333913398252825,33.73781693905472,35.8227491019972,33.885461512228865,29.54264712740672,31.399314991174744,32.002203464814436,27.557833171718787,27.267583437588744,30.83765135560436,33.001554470911245,35.21825569250391,39.836266110095195,38.975244747149326,40.07501598993591,45.19705285688905,46.10215401949145,49.815734456978255,49.86536582753018,48.784867420875415,50.63339084813844,48.165657294909174,53.20656718288864,52.85759445209587,47.90345501779209,50.54726047489471,54.96420236939116,51.85463891218133,49.84424988725614,53.45162151146372,54.50053058306135,50.407809817068234,49.742611347565614,45.574401829737845,45.95896039049564,47.8665251385904,45.273392392922126,45.45132390604015,45.701454492263714,42.800023689556866,41.33783726644078,40.92410399855236,39.046579533598894,36.165093689414476,36.01985678566358,34.96363712474006,31.83206648446069,31.32915720202461,34.995901573584085,32.70684121410841,28.490202484943133,32.35697964582917,35.64287814106645,37.04576435627549,40.06074307568776,40.290678396935874,44.615739001948214,42.994690618030894,39.23679099985019,43.612671242421115,45.45205679957773,42.721497012721954,43.056325406909394,48.675472538514505,47.78505534203093,43.92658725347325,47.001943574591294,51.23056170453083,49.37038537247102,46.46817950068674,42.14819693354736,46.355995808076734,42.520544960874105,41.39388182438538,36.70520331095178,35.50911909737088,30.70988512848356,32.49133220155236,34.977445354245,38.78272210498934,38.84611114919364,39.1139137571203,35.46797795182725,37.924863011726394,34.44992100998727,31.05417935469709,31.019851332758993,30.001778149087315,28.032943104317575,27.13210149519675,25.841324815928292,23.031249669269066,22.385879686851286,21.661038451692388,19.746648679902254,16.577675520313118,16.825141706372992,17.013933838280796,18.395700179829046],[25.740864363478337,26.9140013637033,28.83494983199854,28.60233042949028,31.952889585680726,25.575872311659477,27.120234631334082,26.093456289532252,23.590210781536687,26.98596637187774,25.88613452072659,25.65034837551925,30.512964728593158,29.326892331994124,31.40372685007868,33.50956760774921,35.768125869413936,39.389101642152156,43.35587804185373,45.760236462244876,49.25646882211323,52.86266472995401,54.5683066843259,55.206305086908635,52.51321138028836,48.25428385505891,46.2670211417011,42.06365745121505,40.39895464432088,38.049268874534434,37.747233135865365,36.71217956044598,37.37057458277604,41.77762639455137,42.04114871983583,42.73131497935535,41.96974258638648,45.65575813553319,47.03564334679598,52.779647774813085,52.22260693476923,50.920832572274364,54.8543042334837,55.93117290873304,59.232895356939565,60.32665091201655,63.84254609891304,60.81205069107139,58.21904880822286,63.59868338449921,63.708997893327734,63.591410417249996,63.65504883776811,59.24360458653484,58.43897686355731,62.519916323920825,62.13201253533338,57.11088530214065,59.12812432972164,63.5371386323116,59.16960677141874,57.99591619936825,54.484392920595106,56.6292767093124,56.04887056753566,52.201315343327515,49.100240610931635,44.767436856881154,42.94132234035079,38.75355190084475,39.090208495812774,39.83255860726011,40.49159743211757,45.20412457491164,43.25607400236918,47.982740128373194,49.01848982123699,49.66865075856844,50.37021976894753,53.22641851138582,51.014178393508,52.66705861702429,49.21342677945888,51.64475773554773,50.615291616223885,47.531710026705966,48.96077640187154,46.95578393093913,46.99438798823424,46.40143745626138,44.1659385504718,45.109264452024846,41.01830880342447,37.996438412978755,34.60685460459395,32.47840627906734,29.824693959735566,31.902516077362304,29.808800026877297,28.603173248860557,34.33858920435572,34.18538427578237,38.61730101404784,37.967242754532776,43.44199598275116,40.01764034955473,42.295657534786706,43.39174143298987,39.694655486061635,37.62805137895192,34.24599530159241,35.56676929711289,31.590320484049347,34.67818094925977,33.47367842345909,36.08393352854951,38.11019460830466,41.81042334568037,43.05830221571854,39.171695641226535,37.09599993920349,33.983376033083125,35.25372356046326,33.003896698010024,30.467041269749437,34.66486080892371,32.690181688762635,36.45575088148889,38.79698906571337,42.349742319835094,44.200235298208646,47.169108490027654,49.341527703043205,47.715809459547515,46.677698478946176,42.80549308196565,43.58247981752022,42.08359417166268,41.58296617967721,41.92353057750773,43.82585776966387,47.75901068765843,45.58013233525079,42.97688878900719,45.36830675286339,41.855544314411944,39.628982518185175,36.669510312541,35.68983916209316,31.205436062382173,30.881643806796966,26.527745287540483,28.12851234936865,22.762546424154767,24.67026806861135,28.78330455186268,30.06824598975331,32.518667330692644,34.72082151532416,37.195672714048435,40.52367150763427,42.15414694314604,43.706466248627244,47.13695131104321,49.80690995884482,49.63988542652567,51.839247336176555,55.058213024439716,52.86154885404705,49.47611478642527,48.259205206663516,45.556297748605225,47.0154205273157,46.0311857632479,45.12002464864497,43.889482113544496,41.225499078110715,45.27860074955245,47.57211284187199,48.343946452460926,49.48963930773299,45.11119200795172,50.649233946782324,54.048401865125335,52.22981423204708,54.6888557993903,53.35861018069893,58.574588143966295,58.97712057510452,59.86717849267489,59.779197545718155,57.18054904725531,56.6563359461386,54.074974345641294,53.55766643922441,53.522251264289956,49.204443989585414,48.70280697489675,45.86261818358583,42.71237907831385,43.80220457652849,40.27346025803171,38.26903775634835,40.03168733870236,39.61164477497684,35.03363369346929,35.853833852146025,37.43993683498782,34.99280302805691,31.140226026197027,32.927221607772246,33.01061818768459,28.610835113669463,28.77349497145138,31.926332168620558,34.433662790264115,36.01380466227964,41.31149416381324,40.34195568351951,41.00779727985398,46.11127881439297,46.54182697857872,50.5481103338133,50.48596231740214,49.688763515908974,51.53327052186089,49.27715676682589,54.38190018725452,54.022909794785626,49.4151685057549,52.102089833178155,56.53739943749295,53.597150257599836,51.77472117561124,55.48606926047079,56.556496148890055,52.53347333654268,52.166181740669906,47.744153620020946,48.05371859579232,49.68342515501245,46.758595247575414,46.77794768726098,46.58249660580655,43.934693651397765,42.755912706668184,41.786720670860866,39.79337930821849,37.3881258582281,37.12466611109078,35.53052167855412,32.40678534134952,32.231501021147146,35.42247238499226,32.76448183180308,28.832875342837415,32.75441358217646,35.72246660065959,37.520500649535,40.53974842210866,41.1122070692349,45.370598724746976,43.63713966916478,40.35752506652438,44.81853927840506,46.55869436553328,43.95308404146915,44.69695483682582,50.10808316080546,49.20366040206821,45.70982420114129,48.93199423198279,52.9334536643026,51.11725800698998,48.45159297076739,44.293439396278984,48.467915019495734,44.781186708174594,43.23015240123108,38.83562075576673,37.52819555481058,32.868588522110194,34.93566526713993,37.52704394193322,41.343941608651036,41.5346756311464,41.50341185273407,38.088781446907795,40.47200300123568,37.2690403968983,33.39848986045524,33.069806773758884,31.58534242496769,29.852028575438137,29.436735405274,27.562537470417407,24.59909506599124,24.80749811152285,23.920705534906155,21.24436255199489,17.890044573289526,18.2384825769103,17.86257287051975,18.786447018264674],[26.98795717963667,28.610187052374922,31.127129082862403,30.910583701797403,34.84133900129516,28.72628944201081,30.650288399411878,30.05318636827385,27.551288716062654,30.917321440603562,30.002927673156055,30.061779353712453,34.72984278122564,33.25569172100706,35.567050230256314,37.801811856014794,39.83392568283723,43.45942565053986,47.202353282144095,49.811192778121,53.20041387145186,56.89823560939365,58.439853388921115,58.939485144792755,56.35572886779756,52.03450779301815,50.183711505734394,45.978881598198804,44.5364160994761,42.372279186100634,42.07130568508142,41.22583417255498,41.93976373241879,46.29296969443835,46.54996477606499,47.09900129948061,46.423224007550395,49.898578166568704,51.18643422686753,57.016361428411614,56.214385669305756,54.98653805166694,59.00986222614415,60.07457962380768,63.2606983653764,64.2969499452851,67.87973786577423,64.97240131707325,62.33749296795033,67.73072021379544,67.99061222638778,67.934882246933,68.07001030671549,63.576550413198085,62.91279344901475,67.00110311557393,66.50177503735254,61.502994991225954,63.61035420785854,67.95087119213635,63.4634881990653,62.27118373464418,58.791686679562524,60.75474982797773,60.19063408034701,56.41985994920433,53.10668646835548,48.85781989529516,46.76695670455974,42.64194632664118,42.75338791664331,43.327584714684455,44.28724382911433,49.041549406263464,47.35651471195035,52.14682667455399,53.29916918031011,54.06474029152261,54.811841824285985,57.6659050917006,55.52571083636506,57.11372251494235,53.71555481901746,56.0541993716256,54.89164807568386,51.90161773343029,53.31438616993803,51.464166617083954,51.37454516566499,50.897455507684384,48.53325851987125,49.38846438100156,45.315394486769314,42.395816914602094,38.98494276718535,36.78420689333165,34.09092089771711,36.43929205519881,34.38606004813421,33.276399245398515,38.9647491324292,38.735367290806785,43.15198146027365,42.34203207304612,47.699551918091316,44.086550601449204,46.21890223929221,47.113367168664624,43.24139342315579,41.44397756275566,37.89397013502773,39.40867975061145,35.44107943931038,38.416478831772515,37.309092621087935,39.67930950192452,41.82040057392894,45.246420382427004,46.62486498913034,42.95296029682254,40.66997104219623,37.59722644145038,38.57236278225204,36.41197475036001,33.92361228625384,38.0618851514427,36.05133853669278,39.9768911197931,42.31120443139202,46.08949686303619,47.55365931953233,50.65173056734443,52.88307682071865,51.52454380124291,50.2605184460642,46.37009922540688,46.74973847881326,45.30227945557399,44.75354597005522,45.38308076558106,47.089139275739875,51.114571889943704,49.14358501176742,46.612316889762845,49.2279332140171,45.85606143007075,43.522541815302425,40.748705687245845,39.79936278146396,35.32944122597499,35.03700518975017,30.850477034509332,32.53399683173502,27.21927911226455,29.288634636097672,33.36279769098073,34.56345814450414,36.916234381717054,39.127136223472355,41.4054280526306,44.55039243567964,46.313145400137245,47.547900256181016,51.15290081881763,53.5984769873468,53.10311787812934,55.38666088351193,58.43871002818975,56.11263338250877,52.705701153768636,51.64626308406516,49.08304892612579,50.83047731551431,50.04032154621355,49.307775459402826,48.211955093848594,45.62433602832391,49.76746104660103,51.925304516315485,52.67326044003315,53.60717645643245,49.18724469204046,54.63271120262005,57.97550914193398,56.11336062797241,58.71527184690217,57.42265673077582,62.60281400622228,62.7838853545833,63.70912713509658,63.50229436775921,60.94229347189509,60.24246119577105,57.58229969393551,57.0017280043977,56.78232898386655,52.34313045731948,51.82533032421604,48.75510307059355,45.860005789622036,46.69757939739732,43.38395129235985,41.36034171558586,42.672302520883186,42.2450222415367,37.787880795375145,38.18609554108969,39.61205232907563,37.35561007547026,33.35846963152331,34.73114130902886,34.69222770141559,30.524561946349287,30.278778235600218,33.012793694142886,35.69079980885862,37.120460177138895,42.48741558136887,41.90566177741518,42.46345040915627,47.6691136472067,47.90040481270623,52.19062471683048,52.442454944277706,51.92969705017838,54.03138938757357,52.077862642656825,57.14798830236873,56.47732205332911,52.000241345635274,54.954734839243436,59.168312232631415,56.0789032592151,54.49427908828569,58.339388392655316,59.04388327322119,54.93611707686753,54.99789942712203,50.45810299274343,51.23338528898698,52.81070149618039,49.76894658673237,50.054077315479205,49.76845527109652,47.41035946537193,46.027193734069506,44.79853450827616,43.0888125805445,40.75491618194115,40.0750647668668,38.42832505814536,35.39519460865966,34.938253175444764,37.849864030560525,35.15552244274889,31.165353590399334,34.715189879230245,37.57677761873773,39.44168780556878,42.72404586849627,43.65383799864538,47.775080517448735,45.62497419256027,42.53177041953725,47.21693378271384,48.58038116038444,45.84749219085556,46.93259380964193,52.22620862503473,50.90143817932391,47.554997726267764,51.07660110213833,54.806117806114635,52.671539195253715,50.081555657727634,45.904845053016764,49.75108624947995,45.94206834998326,44.26605465234335,40.04598695613542,39.16972722623525,34.65486901159141,36.36037963181081,39.219483263981594,42.971319137329424,43.535174117507204,43.75923733283159,40.727536387465854,43.42423517354686,40.41378612471879,36.3528588917902,36.40038566910041,34.864466843771815,33.54790973671334,32.75106281672245,30.528808339288833,27.979656599351372,28.352735714190544,26.706384689623405,24.157996744589823,21.130758105759185,21.927897645241252,21.533325505165564,22.35413447505405],[27.33525668649695,29.036241722183306,31.387074162095587,31.86148885418446,35.436391317188395,29.309269420273225,31.334085593229382,30.32617214954989,28.3011635163008,31.982384098590334,31.05274075794314,30.603587949135772,35.53125580714257,34.56628821976076,36.67903267602192,38.66011009022234,40.953355730564276,44.664880253211464,48.6923127560207,51.009816127501786,54.570446224966894,58.118251143135765,59.88797264091758,60.49740783080103,57.739111446748204,53.508007227998526,51.414997008488676,47.19814417694199,45.53708273652007,43.06247221349486,42.932866358158805,41.619818548278104,42.2124780339509,46.7040806609815,46.97980671302201,47.81844192567931,46.839991884821146,50.67677786573034,51.9843690727888,57.61178307578917,57.19262944367171,56.05265376642807,59.963843476793386,60.92216299845168,64.23971961163146,65.20763712592706,68.7609416950762,65.76123605397815,63.03098479872173,68.32600614388288,68.49501051018899,68.23617190891922,68.37183636417062,64.10423052713939,63.16367838917081,67.32645018067866,67.09312865448906,62.08103597648051,64.04682997017201,68.54151328010207,64.29828746069303,63.18959676224471,59.66061139765603,61.92505171240605,61.3144876445721,57.42182285690125,54.44782477322465,50.087755483692234,48.34281404406104,44.15582465065532,44.52187521735254,45.26766092107176,45.89990382087853,50.60437074201125,48.575456279719425,53.2145535102183,54.221689713834536,54.734194470256845,55.408170510680755,58.239619680056755,55.86036705048054,57.45830766752208,53.786525952125025,56.15847466229221,55.26733102248022,52.29845853782215,53.928696834765695,51.78520206713847,52.07790981602691,51.3631353101608,49.290935499576335,50.230266383611166,46.1417231797633,43.03453722584607,39.74339023574609,37.62404615264103,35.07320055237233,36.83469464428979,34.61608984751016,32.91110222514866,38.859761139756394,38.24229147473374,42.97147531120323,41.94444619429253,47.348593663178875,43.8136251539856,45.69342257238496,46.78810409519756,42.986161892839874,41.052472360528775,37.81332335678109,39.639590643601224,35.920352409175145,39.21545204981366,38.377864803332365,40.98252847510059,43.188368850497405,46.90492405489778,48.321098865004316,44.45536262189861,42.368647496977076,39.191309697084606,40.27146711998599,37.880970729337385,35.139921243487464,39.06421153993734,36.56292788671287,40.43948290701521,42.519506647569415,46.145324298359434,47.71673499931346,50.53896719853988,53.016778386804795,51.47925771683362,50.61717282841658,46.918424447823774,47.40274717411634,46.2760232265368,45.99071050126909,46.524245173501406,48.59884650928002,52.64399477802837,50.58264206703397,47.88508512222268,50.30534255305538,46.80015522558449,44.49538919454825,41.46095632585073,40.220988854704395,35.72583399143846,34.96185757856684,30.72189847032405,31.809821471354915,26.321966439615835,28.761280961888268,32.928498886905054,34.54858210229841,36.694113925546496,39.28268972577778,41.429045880407394,44.9484097567467,46.87950952840936,48.39784876601818,51.84734800533827,54.37236731031032,54.13190120832149,56.13025692635863,59.321680907220774,56.903355958991455,53.65748139762152,52.39166793214095,49.91692336702651,51.40872304835941,50.43314963372823,49.59749270094244,48.22340569288433,45.79977951479068,49.62813959038683,52.06292042783175,52.61316815333221,53.84626934648341,49.20061191497819,54.64774555330366,58.06827295178637,56.41641797712384,59.15014115277028,58.04232730428414,63.18044702136686,63.65180576301145,64.34473243051114,64.11765140538705,61.39984355063743,60.67569155076507,57.94214821233411,57.20493158658963,56.89071063768265,52.55417778942195,51.752956883119175,48.659552281675765,45.607211616128914,46.15713909654982,42.694311550833724,40.99748793881834,42.34207757899345,41.52074337509412,37.19709283167321,38.100314411551544,39.1230286548861,36.38781309923317,32.918448136373925,34.36795082051567,33.920456963812505,29.777364299292696,30.0974496831084,32.59123792917333,35.46165764281407,36.3646177924488,42.25482360810252,41.40808393910215,41.61802761182447,46.72003025928449,46.618767500017746,51.01855457410499,51.05754195044678,50.6911177961669,52.69641651275177,50.846789181495666,55.949229141380805,55.365828082355186,51.17236057013381,54.06808215355691,58.34045902167341,55.46536720621814,53.981413607547395,57.86220288417962,58.700219887731485,54.70698026032399,54.9009145611682,50.18764182916712,50.756786534447635,52.0927632029834,48.8132237590574,48.90395826114143,48.27961885434957,46.09163119874551,44.98493098851828,43.369845927870564,41.53347762241705,39.58748199372712,38.90607116626272,36.86238593746247,33.86093213885956,33.73548649790732,36.29513598483249,33.35656390828286,29.681577345842243,33.323854149148794,35.9168757819835,38.062074269723624,41.22595391012044,42.321120438817644,46.39090557888908,44.298906121662384,41.57794346723813,46.21884385634787,47.61481204921711,45.06008445325839,46.3720750883281,51.48609378006026,50.3202149208475,47.26890393177896,50.78212986899212,54.38754692482034,52.4389148131579,50.05429649259891,46.069499842862555,50.009202478787415,46.43223206092132,44.42210185252906,40.43975507570133,39.26589444207487,34.87238950127349,36.99315043461982,39.79458443993072,43.55532274126926,44.0709783749099,43.901760328435266,40.96956669158864,43.4742747503123,40.68503658987675,36.282263663460824,35.97601711851769,34.080732095346384,32.90644944951753,32.59722557409678,30.005044382446048,27.288149105183457,28.318658755202705,26.769137255909047,23.61911157341525,20.499623703425662,21.272298224101686,20.537255110245493,20.99386444871642],[25.15963387849664,27.055815304577155,29.51843827647645,30.54291365484569,34.09394519529221,28.220168490098043,30.603891122116888,29.670216397549407,28.135150975221936,32.13173503388179,31.540701981917746,30.9713705621955,35.78719988998189,35.115104051160614,37.455440549298714,39.23638361721968,41.403851256958475,45.33974507989231,49.433216047598165,51.58857865224508,55.27404165342484,58.6979552493166,60.57406806498738,61.080688819405275,58.17552737177328,54.00959719036343,51.718403870932576,47.48324741639227,45.92107923167672,43.37008094921338,43.763754261503976,42.08196636079503,42.91160497188542,47.529890552054894,47.541430367136826,48.364344306507114,47.07225354079289,50.905191835067605,52.031926585424486,57.53298125083786,57.19912116795486,56.36400455499936,60.28552955368357,60.9905496845937,64.26824746273668,65.00626693742849,68.63126458645952,65.75913702475337,62.803558524918465,67.9766535165443,68.33096889807702,67.9405840375038,68.25859904496454,64.14777405146312,63.18152601686918,67.46614924145636,67.3270251909309,62.391440368202126,64.45190464685665,68.97724086907778,64.82903107291001,63.98728564571377,60.53315299511235,62.92317172381939,62.068624667535275,58.122559602332736,55.369014971334984,50.99697813532318,49.37678076569776,45.26777248081098,45.68571857944689,46.69987759333132,47.28406994300992,51.901841856069154,49.727840788150345,54.48626600120222,55.16882439003106,55.71907195722439,56.14218451631879,58.79176646390151,56.17340328526791,57.53212020385288,53.67307209486696,55.85879886189548,55.00090963319854,52.2538754517276,54.17376535221281,52.05978573069906,52.65774937458327,52.131633225510356,50.25000768540361,51.480768331439485,47.372322270510104,44.155514317700586,40.72390270512691,38.87728655837859,36.15691961486403,37.58282815288237,35.083113669007396,33.10151879771915,39.01399828228836,37.85680246691741,42.734509979034605,41.24577273559539,46.47005747742926,42.76213908188367,44.33902460219324,45.35336695212254,41.465528191781424,39.69236066422772,36.51684198210888,38.735043416419764,35.267675354037216,38.73325133855619,38.341871053016554,40.93240756195087,43.38371839895836,47.193488936245515,48.87586663726729,45.04916771432263,42.96705611591704,39.66328753619578,40.47936153219018,37.86270175239532,34.8708950362163,38.46132840141142,35.48397983528364,39.42346967118374,41.282524731424935,44.98186886407816,46.29553967784407,49.01157191128902,51.69545599587604,50.277904523514444,49.51503994731035,45.98285035139768,46.22942612996507,45.45524036100073,45.40152749182616,46.07742572876872,48.42182360489375,52.58122086119763,50.64874046671104,47.81210084764648,50.260737903284735,46.80021518239432,44.3789348468971,41.3044368904471,39.79591003651125,35.32758049814393,34.21548914879208,30.212495222029283,31.097901665623237,25.759470615102455,28.663449585880038,32.69794322996575,34.41182253806527,36.182903053332595,39.08589509368114,40.77972384342288,44.363223528149526,46.65167884138734,48.042366951653115,51.53184825788902,53.85409718719814,53.540285609825645,55.317580566109044,58.48847278783014,55.87756273313165,52.78031016770965,51.451227625018234,49.19893275986987,50.72394071652643,49.79989363738605,49.1114065832559,47.702471418937584,45.581720583889165,49.2913691572491,51.696200913336725,52.02847612615026,53.198871575807786,48.33116940738573,53.650568504114524,57.05698707560123,55.53426303933547,58.54988716060027,57.6920918647354,62.717264262337316,63.22920492856144,63.70503355690783,63.32702282681806,60.52139858777024,59.595497374906586,56.744122397170756,55.8403193626295,55.330768319597276,50.997295773245696,49.994014313374244,46.752428748546365,43.78167464156895,44.013118783374175,40.628445102539395,39.09442217560016,40.18423269100611,39.16495472640913,34.995080327672206,35.95255530921186,36.67176527558372,33.823682775643015,30.555304433298808,31.862593003379903,31.17231876086255,27.16274587281282,27.633552899121597,29.832170605732333,32.829708543702495,33.435303020861554,39.57203743918771,38.70982128730372,38.728651761888756,43.80617236368465,43.521679284157216,48.04684145032352,48.126088008733,47.916956566836255,50.008967006443484,48.35598434629567,53.43479556060852,52.71696822777192,48.70981091134829,51.71484491523086,55.878260467260525,53.03173947084569,51.7234459079916,55.68706361026598,56.398821619505085,52.43723490776561,52.935735925307036,48.06765412163275,48.805437446915114,49.98310560311492,46.54464081911761,46.74388630628585,45.97465666926407,44.050097793577656,42.87314859196467,40.98252911198089,39.33216352452157,37.5374254268848,36.57607938757913,34.417066268083275,31.502876390432448,31.288129543837996,33.58947703617337,30.61442245686858,26.99603868208263,30.4615814313539,32.93614337242655,35.16144260098956,38.39135239984732,39.694613051118864,43.665672380179124,41.415695417765114,38.90661961630051,43.612945124766156,44.8527734860088,42.32952516437214,43.8793964417951,48.844008744580655,47.59459969914353,44.7552271236905,48.37319553968341,51.795326861763755,49.83888074784115,47.604684063617725,43.74455023173982,47.62886601423675,44.183678592113715,41.92370130213876,38.15960014994952,36.936653448847295,32.701302967234255,34.973231411519514,37.821313536823865,41.54335086018101,42.175255717739745,41.84345146196968,39.1756275547121,41.72361822347654,39.221507158231894,34.4851002816871,34.24236603698308,32.14947387881784,31.382568284896287,31.037725348963214,28.02353417231393,25.552610349907003,27.06694106573598,25.083720002109203,21.702024934879518,18.887782216659932,19.962874698683084,19.172572399224777,19.447093399146226],[22.17714125098882,23.93324521705335,26.466634512559832,27.02929610568951,30.83762198141658,24.951492777019,27.377113872013524,26.828139974889258,25.068915777300493,28.989923452087023,28.609497457447457,28.435031657965705,32.95485732741857,32.01755011831276,34.692130106773924,36.571522063060904,38.428756476511076,42.43549507893637,46.3384115250644,48.63872498818209,52.262376418187934,55.74039382615988,57.494106036488006,57.85484928116059,54.999396090563316,50.79243945679077,48.58320149491696,44.34045574583622,43.016437573236516,40.700158657902094,41.282705357526474,39.80230990983464,40.93511656976187,45.503947080412196,45.30395281952292,45.82835832172614,44.629789469964074,48.12072707127986,49.13152913956494,54.760219592948935,54.128877650205034,53.37658945266309,57.40273377316864,58.1016453446003,61.27140981754205,61.99112405638843,65.68876878518968,62.91561613081058,59.93534180087669,65.18421719658572,65.67345339486046,65.42177985316472,65.80455327854885,61.496727363182075,60.79823840695723,65.10274515526726,64.7550474823614,59.85564416806121,62.11434033829811,66.51919563735704,62.19191594904166,61.42455757939133,58.075796181125355,60.26607172577985,59.29837952690593,55.427374073335336,52.52021600395531,48.23683067089951,46.40524426724607,42.40410104218833,42.65613417558768,43.73494797134876,44.53775493352009,49.135916914117566,47.151324293655605,52.146945311768334,52.717851862061345,53.54930885580109,53.86157839773364,56.41480229810934,53.88317301990708,55.09074054071152,51.395214267512,53.44829010041553,52.3365236368016,49.6814414192058,51.55685709338809,49.74496732326396,50.161350271860826,50.007990010935714,47.96950176066525,49.350321521310164,45.24186626578478,42.12157566619339,38.44762493795485,36.72856609231803,33.73055022818349,35.49367239688575,32.95927652153689,31.448669547219982,37.05334920133042,36.00611304028274,40.62555649296404,39.135454306801996,44.24750289072133,40.38103249449721,42.12279870445462,42.90234484692851,38.91511151947918,37.31565203884406,33.834824142574156,35.89208069531374,32.27448422952533,35.546386938053345,35.12854347120086,37.540928308623855,40.06743722852372,43.69950033502234,45.518353325798266,41.84701566772068,39.617576657995,36.30841865452782,36.92495496047143,34.35327490841535,31.41928781481091,35.06931258006649,32.3307216584946,36.34271607935171,38.37068603566984,42.231310367460466,43.4024161445827,46.35581626933882,48.864716046001746,47.63425911625388,46.53333122869392,42.871676609927185,42.988919000935,42.039538437969014,41.869146180573054,42.67525536119128,44.85161565258876,49.04156210216764,47.232725662917076,44.451334079851264,47.069681763142064,43.73879442013425,41.22872468333735,38.35293345737349,36.975813652685765,32.52322354559829,31.713660433923454,27.854362967460062,29.31439300925081,24.25287602210885,26.995684153278805,30.8504216361467,32.15931642998884,33.95732691300048,36.64239630164716,38.25059736021305,41.511823321605874,43.81317120955261,44.898091963083296,48.54742622366243,50.71516951364879,50.180899864825875,52.114279842135396,55.17913170910674,52.593007813187775,49.40151737908939,48.20379082158467,45.93522880383649,47.68555436819886,46.94647067104108,46.416840144723196,45.262766844710654,43.122581222126314,47.104642873636585,49.211247414564156,49.641017494727095,50.4918368913306,45.74369192638648,51.0282031120207,54.36312254640957,52.68593933573859,55.691819029772276,54.77287165911395,59.79781641847196,60.07053737595968,60.66248238377939,60.251748163890646,57.536481681771996,56.586391879661115,53.761890840851144,52.95173244247857,52.48859463816321,48.0608586688377,47.2785233386471,44.04829690487484,41.20108462365226,41.69763184082467,38.441104236924275,36.59553216327236,37.67630321183853,37.02909533954457,32.699426423336746,33.239393579388604,34.35417458047461,31.947160118464698,28.142375251243013,29.461972582171292,29.205286769561006,25.079451242370986,25.08057430558407,27.667675352798913,30.4569263832019,31.63699613751879,37.2705312443205,36.54557795625399,36.94897809427149,42.132079526107354,42.293157426308646,46.607830833851615,46.847788588661246,46.4133900196949,48.57607163366883,46.76667877233221,51.82398572408773,51.05047524129288,46.71675299612775,49.76373131314817,53.89859975287615,50.852034918607906,49.416372855671895,53.34619197853919,53.973401249981364,49.90811664946996,50.25220221803381,45.52866363591775,46.43982120421975,47.84895405006598,44.643854743027326,45.04976764499095,44.664382734986994,42.554448196874944,41.05509686586046,39.59132135029128,38.09580244718907,35.85023057887566,34.87804496637322,33.17886342705652,30.21746743879984,29.619205907867354,32.37577686099484,29.703968111321252,25.677915216188953,29.12041731172275,31.962394144133054,33.84028180334937,37.168405277775236,38.22448490999635,42.286256163305,40.041915679044536,37.071983983395945,41.80678303397297,43.085951899851004,40.394082612743425,41.65539378440951,46.83827737025272,45.519799073391354,42.35259977663008,45.931713925917734,49.53627382681707,47.476103293621506,45.029478835962166,40.99457521810409,44.901767819736186,41.289572970414376,39.327511497194855,35.28801792049934,34.197052073028985,29.80358926907044,31.841065818327344,34.68480644055558,38.434230499861904,39.03486061091374,38.97277723598136,36.18599917611169,38.88182358163816,36.218222169582,31.72497449107681,31.79255256896615,30.032753840195017,29.180206025749683,28.34036153719052,25.62115032603234,23.321692926974926,24.291601489283934,22.137987922467616,19.256677971941137,16.51332050889446,17.746602475261263,17.385905298256255,18.10502606147692],[21.021091939756648,22.22595553769103,24.118362863454855,24.511254544955115,27.789528535215904,21.58764226752428,23.64172386570053,22.747505169032078,20.93777383430576,24.896230075604237,24.408501210558992,24.04632409859943,28.673678223894342,27.950299499876266,30.493688321480388,32.26766550216492,34.25689756073427,38.271070066836714,42.32637166867491,44.477057067720985,48.176706372963764,51.58758985888664,53.45566112942724,53.91334196233013,50.97961493870483,46.81845835613529,44.51270518158927,40.27030654981618,38.79429649397078,36.36248496374376,36.99004559378785,35.38366717370997,36.54095094884829,41.139129524422295,40.89545081905529,41.47712060081198,40.226299324193974,43.8318554273599,44.907956763540135,50.496667381026846,50.020971258201165,49.2028858773418,53.17062603919087,53.89622755096803,57.14637417732513,57.93109816537981,61.57628904520458,58.707242660893556,55.77719034241804,61.03527675080479,61.410360444906246,61.14747600999404,61.467783869177765,57.18996307487487,56.421750177204224,60.712088206522225,60.41140961049536,55.49879101320227,57.71665539700269,62.14956135754958,57.88244660774049,57.132446160846854,53.777656575751216,56.076438108651764,55.081538254640876,51.16527473160315,48.40671600722346,44.07476490629109,42.43364555077239,38.408725887654654,38.8204718611489,40.05548730308265,40.6413530564294,45.18620868592928,43.01895166501732,47.99981596090811,48.44895471645635,49.23925880412537,49.49193666610922,52.02907695366846,49.45925511699277,50.70154310669397,46.997945561351706,49.11560154705433,48.06693430260184,45.33440578758525,47.204738068965796,45.31929493399945,45.80415163880032,45.62873634005427,43.669733179188064,45.15779093103697,41.0474406579965,37.87053526751135,34.16629183340145,32.56054108785269,29.5386839208605,31.118007993112325,28.527709404871064,27.034088152913867,32.603626707052904,31.64410085350136,36.22542617774966,34.88915757344028,40.109129177647,36.38150536392231,38.32032954375827,39.253373168494996,35.4066549619524,33.56427053313735,30.160085515579578,31.98185281664612,28.29848098771295,31.644278671680773,31.11842253394036,33.72011638356627,36.15073381005796,40.002282012330745,41.711215601717136,37.88085714211996,35.809456558465314,32.46914471542978,33.320882843295,30.67914817213342,27.712559469800805,31.453526776234,28.81854960257839,32.702409836476754,34.796907432330734,38.477874951932506,40.0140536623015,42.91036072279987,45.31326720087202,43.854793935536414,42.88669770636181,39.192487662008986,39.68558121869624,38.61272471309332,38.44941617668703,39.00298194028002,41.32109530979451,45.41353114362017,43.43050318975435,40.60432332632831,43.05295997808769,39.615033916337154,37.18640140149116,34.17754968604766,32.80278817087526,28.32452230456512,27.55148844600134,23.54503947496511,25.075180709240158,20.01449901854994,22.60562026563267,26.449681188913505,27.742368310178065,29.639733581430615,32.27245842498298,34.05686648221604,37.4278761049862,39.5993265839307,40.92141484282933,44.44722657102379,46.80819553768938,46.536058712631025,48.44577965368159,51.652905741058824,49.20615321503067,45.99580557612118,44.68015914129037,42.254496934691424,43.7807618969337,42.893445938712965,42.22289826943956,40.99864075180614,38.768993926804356,42.74036116380228,44.909852075195815,45.39552049797303,46.37792592799247,41.696725028238795,47.0824467539254,50.46253943401143,48.77989465660924,51.6347389581507,50.650589958106636,55.722108683147205,56.14933874180033,56.743724524052475,56.446645915098834,53.72722078258624,52.95004078987122,50.210278966759645,49.49311098208191,49.23047399395343,44.89222783613732,44.19219460756893,41.19884745251727,38.111871254677766,38.94782536639843,35.48940709899083,33.574532338853714,35.134917255694624,34.594419413077205,30.082368831460016,30.960971397642094,32.35915793612205,29.862297680400182,26.069466247445305,27.843578732951038,27.8384830830463,23.437877922186374,23.756570889845946,26.8941402566798,29.425697219302403,30.912532516262672,36.310719742252,35.228695671636004,35.84366489705815,40.935734919226846,41.40734769884866,45.37449652463803,45.33391386866387,44.55506485503368,46.47027529962529,44.308390252933286,49.40170269610216,48.9352489983661,44.38207889027806,47.16715828938345,51.527329133677306,48.57901014564916,46.864411430808396,50.652282371731395,51.629144449555746,47.62041557713192,47.48138000022891,42.913960489583566,43.38898799986434,44.91766966726481,41.88707591500706,42.06665667456248,41.86535013743408,39.401551632681056,38.03531374700726,36.943915553430884,35.17918164932895,32.74097138396956,32.20821162402341,30.669368893529608,27.5871150698049,27.204560050462533,30.38038549664899,27.81311587009856,23.754655079048177,27.605076960255364,30.639961394292072,32.36523320556597,35.433485115510024,36.05367267146332,40.28505798246525,38.47723575344826,35.20180838797961,39.709424359450146,41.389939647305354,38.78899101868105,39.620120369030545,44.981359065764565,44.0744579328383,40.67023461295551,43.92966330270755,47.8594385949358,46.092519428301685,43.51143905596106,39.44857078605596,43.68107566410497,40.14451501322141,38.41009872858607,34.125325793415,32.638672769585376,28.053870472288942,30.38332950870474,32.94262403983105,36.76141218510059,36.97055438217497,36.730665871494416,33.50289638476292,35.91736639355288,32.99747173432565,28.761318307989708,28.504443018640554,26.87911033038886,25.55131011390728,24.981079663347302,22.711153543450056,19.973206102266044,20.63047456062441,19.250258291385112,16.348192338465108,13.174408493006432,13.986081439280316,13.779704819698702,14.766441819675293],[18.814546237193053,19.925473037625768,22.112807533036406,21.683679151126075,25.5284407990256,19.472606580352103,21.63644676426978,21.51992739868551,19.296543853117164,23.008945496836386,22.865292386306177,23.242397238988403,27.308910314193703,26.03911069982505,29.103417768026972,31.085004710289045,32.55375273018275,36.62404380881611,40.314374183281636,42.75214041972366,46.30484521063152,49.828338485345064,51.45898833098483,51.68244371447302,48.87463779941904,44.6339472426909,42.51579887464036,38.27583602601303,37.20769071028744,35.194134936118395,36.00127650972008,34.807154609191464,36.33941225196428,40.79891226016025,40.312950977671804,40.44296695656244,39.40091571894741,42.44823480977675,43.3514630381986,49.13822876556217,48.16610714537257,47.45302783485663,51.58564700413864,52.291256484254454,55.33481481252909,56.07110822983259,59.80751468576779,57.14182652825491,54.19745984223139,59.52320106014649,60.13853296083349,60.077485278209224,60.51237646586774,55.989655769351586,55.61240398199638,59.89274770762958,59.279650705159355,54.43861178563043,56.92941439402127,61.16419614039046,56.6255739336832,55.959087045159656,52.745405116217974,54.70921502665262,53.58982800266326,49.81167965297614,46.75430450490646,42.581757831683746,40.548871130414064,36.69329919882128,36.78677160417328,38.02195270748185,39.019664549273664,43.54557831879757,41.75174924661367,47.034834733246505,47.41769327916267,48.604816790474096,48.76077308339623,51.181494767959,48.788894335121725,49.83203596390385,46.406632159053515,48.328473715527394,46.89993458886666,44.308697137038585,46.071141072285826,44.649160639474424,44.805011114278116,45.13472086426222,42.91072323641525,44.51442159650735,40.435566831372675,37.46046633085506,33.478695796679524,32.002226438572606,28.633001395287703,30.812413980092536,28.274249924059163,27.532710661317836,32.579965134319444,31.83483409520077,35.98424202526585,34.65999849614068,39.64505451045636,35.69383228783125,37.8214322273705,38.37309418354282,34.37714346006831,32.87155044382684,29.020570362348142,30.604392662322198,26.707208032815064,29.667846395268086,29.072281335015234,31.311118015682595,33.8547613644198,37.35096123098618,39.248365507430606,35.723195169027896,33.36734181289045,30.05501135085034,30.530628988264812,28.026380800480275,25.222307248016975,29.066099733608663,26.85981259293218,30.868591035674196,33.2142770975824,37.17693969793988,38.386079473489595,41.6357479113354,43.78931351621145,42.68084451814816,41.16689420750151,37.290640497675376,37.47304193960278,36.15235756943628,35.75815927006794,36.56103402360455,38.53922636716702,42.71644283893729,40.950544101308324,38.24631541153028,41.0099268009016,37.804634627541674,35.23719857799157,32.6004245503349,31.47768251180454,27.074396397478747,26.82258357759671,23.139884215425173,25.50597683008863,20.994056944423985,23.234649093963935,26.73922525355957,27.394585444945122,29.31664130050923,31.56303522788718,33.198141118697514,36.012387180689096,38.188917844971336,38.9796974768769,42.77082048761246,44.86292785200619,44.16979274818864,46.34358157710927,49.33829028914829,46.89936765827174,43.54818272407264,42.48716788087447,40.07517181250399,42.01068955643822,41.44343526545824,41.03925593266353,40.22209836481347,37.97426158481885,42.32502771050875,44.038607820501625,44.66562204900902,45.146726270734,40.665624252496116,45.94883555529546,49.19768650571377,47.2885020644818,50.14010619346062,49.060326661546945,54.11493361819819,54.14737936598487,54.93671147724254,54.57072090372007,52.003637749921424,51.13769054829766,48.42867228183996,47.83849049420844,47.59539502854907,43.11084084801355,42.71693174909083,39.68531380065819,36.88778929933432,37.99338280376591,34.828139147674854,32.49830586419773,33.869677459595145,33.84917483675156,29.23861524519542,29.34662707621209,31.230044948976612,29.457016488409646,24.95002110960688,26.543902166592193,27.092825828273746,22.76010636927687,22.24035838573243,25.659358243675115,27.904465310707963,30.08594876634843,34.74917249696096,34.02370673400701,35.091105421678385,40.284171600340734,41.190261644093475,44.994509296415394,45.27474558621822,44.33965485305853,46.418793567398296,44.20355722933653,49.20477990692957,48.55605653033847,43.68272764855491,46.59371298654136,50.79947853306032,47.562578671809526,45.783611673734256,49.54790745698895,50.274910567288934,46.12545876910113,45.930744225184064,41.55361800112771,42.42031161102098,44.2250611410197,41.48872572907324,42.023449532142195,42.27284526082172,39.71141936566005,37.884600460677156,37.263254446039426,35.82139891774577,32.88277262123849,32.204968517086655,31.269179467770027,28.244500162009743,27.275672862330524,30.83984945920433,28.6985878614619,24.26024381580116,27.795003955342246,31.1527768131518,32.441515136030084,35.67408865780996,36.116618205757504,40.34130767341498,38.404152612061324,34.67297649584102,39.23498646784945,40.7986483026201,37.96534250701656,38.53916922247141,44.081943972148025,42.93275832399997,39.18531162408701,42.47856536159055,46.51267752277054,44.49933094491815,41.68429377568603,37.40296334330697,41.50739383932469,37.71002994306685,36.36639220648209,31.812760200372438,30.70016692091839,25.99222982714497,27.802465543666678,30.44558110949199,34.25031790483512,34.5537195568245,34.800129133558364,31.5471068779335,34.273896674474805,31.17776399214387,27.301949696692528,27.662799069987003,26.537775603913225,25.24647336499995,23.82288981112631,21.95710967452996,19.717584314197236,19.506384082827992,17.6706906689808,15.775560031923611,13.13794205364482,14.208253759943887,14.728798023733388,16.18322840495481],[18.29157071837991,18.689348829654907,20.2450142066647,19.05725621456081,22.55454113274557,16.286249300933626,17.94664764964572,17.925312569385262,15.263290015928616,18.773542147116554,18.677037122716616,19.36092416998058,23.173901398265777,21.75121771821749,24.957628847462818,26.9782140868856,28.29421386773598,32.37183383369344,36.00971368308121,38.473608549556936,42.007043558677566,45.54023253903031,47.147017185982,47.361046329196306,44.55960836153136,40.311573412769654,38.22227093376607,33.98512484010215,32.971371816779936,31.09073438530098,31.9702960216913,30.941301481033108,32.672143638129405,37.04259271174748,36.41698468069631,36.35684845900761,35.42633503727968,38.27821143110677,39.18075283515652,45.04724981369731,43.95590558835635,43.18793111171736,47.346901483108404,48.09494254834665,51.11462954448486,51.91642454552879,55.63747669199134,52.968287170013355,50.09627311958514,55.47565577740482,56.07803644574099,56.11952198917414,56.53162743063154,51.899402842203635,51.656911929953885,55.89817829950445,55.16213047279448,50.33729807074645,52.913109511345894,57.07044193882657,52.44402640922505,51.80805163212117,48.65350070487861,50.53492982339947,49.35470522847845,45.610787713622564,42.51675311939071,38.382897169553644,36.31479022910068,32.52105531403018,32.59796511877164,33.963822321673284,34.96801030611522,39.43226755262626,37.67793836336246,43.0819835952121,43.35027179698686,44.69944280207175,44.77890692459307,47.1424195591302,44.84396488903503,45.84872244676538,42.59631354905912,44.50355661781382,42.935305896356766,40.31187927254654,41.96681947991453,40.719872963252776,40.721007946549044,41.27378970147359,38.96670831096454,40.69643262946833,36.64907959640164,33.7563913605611,29.624827053151577,28.317167423892226,24.757410004351335,27.135117496913175,24.634151620047955,24.423501455442853,29.06524750229839,28.62572177149576,32.43070929545654,31.351227652961793,36.30638164147618,32.42983485398731,34.89216008801946,35.40622611991526,31.52451520297949,29.9410413245682,25.957031841557082,27.06247417673399,22.94410487297906,25.706534226217773,24.865236114384928,27.10214008492892,29.566969405040833,33.08483547282306,34.9335499239846,31.401531806943694,29.050218119808843,25.732636660230774,26.292765913859895,23.829642472726302,21.13707894617013,25.205899664195282,23.478317761009045,27.371723331375176,29.951062697532258,33.845804676754774,35.287279049339936,38.65637534837082,40.53156486044222,39.364309011470574,37.688933931693484,33.67112821654446,34.115503399998744,32.48274080549977,31.92650376919287,32.564061513227394,34.454115407669384,38.568608363593846,36.714498335662256,34.04771720196392,36.80219875628118,33.60669390582118,31.066736708539587,28.511762782781727,27.591050783149253,23.222095996931763,23.401755464941836,19.772176387699083,22.724824769044577,18.663772481165555,20.368739563346065,23.597301006038638,23.817710872907252,25.902100473971988,27.791689698782953,29.591941640640563,32.1793369020702,34.15770957391331,34.91999673524458,38.71638094657055,40.89144151231132,40.25779820195198,42.57557264628217,45.60043835512524,43.3416833354915,39.8854030689301,38.85078851061774,36.253929061106426,38.16885405983963,37.61562711160098,37.18905918517745,36.53122436589255,34.1437740902949,38.69166028285041,40.22154416450655,41.0100247043686,41.36573321835083,37.10976695880221,42.4381898662983,45.65568392982171,43.61029564703031,46.2608293569366,45.02939554092782,50.132218955905664,50.10981615801909,51.03760353167395,50.7731522921207,48.291580857211486,47.58197645193222,44.9989192790692,44.594166556644396,44.593228426905654,40.14660238344964,40.02009258129712,37.248767718778744,34.37699202746963,35.98488535023893,32.800361054070414,30.198894798698635,31.967721528458412,32.33572860050017,27.566526736129674,27.607966043534724,30.013654629122904,28.55628786201363,23.813467896775844,25.729833239951322,26.78521057591919,22.369562284078086,21.75802856411127,25.715432368300586,27.511631598261104,30.25322953727168,34.25867703512981,33.382265293915154,34.84369582865336,39.92023764936625,41.28371028626311,44.664032715518466,44.82524095384949,43.508311857353576,45.407176866018915,42.84802533635541,47.79588349467652,47.363901607089744,42.16855981009207,44.85239968431068,49.17429579095551,45.91804808534345,43.840118669053616,47.421110397645926,48.370542236171445,44.23369104931988,43.51167746941921,39.434435518055196,40.04104758265567,42.10134140627759,39.72018694353288,40.191801958690476,40.83955993096318,37.90095844749832,36.00925996692379,36.00663651067302,34.46830306037255,31.13612071853873,30.856480618685143,30.392181831958684,27.350567509484662,26.33855417029346,30.402753305890982,28.60218067883469,24.10908548037693,27.76182506429027,31.347484111493486,32.280386158402806,35.28431603524529,35.22598424433273,39.54779598931264,37.98813377813628,33.8161439405248,38.114549102516264,39.9884701749166,37.16940285713839,37.18970486654618,42.933393961522945,42.07292361725135,37.97238981143055,40.930130532006615,45.29571663992808,43.46080864807729,40.42851703822482,36.056646357362695,40.364563848127254,36.54919786994931,35.64954928284128,30.793920676452515,29.507681162734755,24.639828288565106,26.415313427873404,28.752716765830005,32.56012197012839,32.49984072218487,32.834246887991554,29.12480482253359,31.68874432558388,28.21491625992526,24.92160296180717,25.27555377257879,24.61653320066805,22.82328490311212,21.232819672710388,20.20690095973278,17.846813428431783,16.652565486786962,15.596145627839592,14.456290522618183,11.897614675949132,12.471926950762798,13.59527683916831,15.439170414746611],[21.94367875121526,22.070747193856047,23.420601226326585,21.2531376956383,24.64523106111635,18.430542879168755,19.246692616989215,19.28164005596559,15.663767113749646,18.21120826919016,17.535393660630096,18.763335933053607,22.47152870500655,20.284404977179268,23.234345260415818,25.692557683430675,27.028713459034975,30.712498018091345,34.108439479778475,36.931939537883665,40.20645292619247,43.967381169228716,45.32901282382354,45.63570093377219,43.112912269463784,38.746153705855995,37.05307119817112,32.874332334288525,31.83119375556903,30.242974513662645,30.294722865037134,30.049896756848376,31.523009670479443,35.617295511415456,35.31595600434077,35.115871345935176,34.78167062891297,37.428884130312746,38.569539521021355,44.653358709973624,43.28554503502257,42.05814772810697,46.2379810172498,47.33538091311102,50.3253117579987,51.4359484426842,55.04590695942864,52.286938144737746,49.76730984110463,55.29015505530633,55.706579602456486,55.989018523742544,56.1861823795661,51.31514277655242,51.22284442051298,55.242908340223224,54.27487535159018,49.38857218207963,51.90138063298796,55.930916356164886,51.09068972283676,50.105509919211926,46.88396427795928,48.46914516117646,47.60333084556791,43.98691251358068,40.448302696913785,36.38413422503026,33.97353178872205,30.09722422144114,29.97185207998972,30.922673836468014,32.16684937507031,36.777167224317445,35.38304150905224,40.733437835671445,41.4653404113733,42.904517694124756,43.324450344370376,45.91315998947901,44.05124731894334,45.35245507527211,42.51015641063723,44.63286965454551,42.9182235489565,40.00363001000635,41.148016370734666,40.02121571449784,39.42265829175249,39.864358641627746,37.168158664395285,38.50157033613949,34.49109057187565,31.85502115285948,27.83838695393516,26.15754735995318,22.710249243771067,25.915272230314773,23.949417310204765,24.504024834102793,28.917136828968193,29.436027435894665,32.79320954846466,32.48099869222096,37.549510868257876,33.98141621962578,36.90817847440321,37.46580785673252,33.79707172063575,32.06852597149085,28.044101977341164,28.379657896505282,23.91513090982072,26.150594302405615,24.456832274945192,26.564103856919374,28.562716424156235,31.798814911680893,33.20103497682688,29.710872158715425,27.263415680484762,24.209431807452003,25.158815214468632,23.23106140182728,21.190259013935346,25.793035910293323,25.1257020247268,28.76834821488836,31.693330788131842,35.428578345477085,37.17429639540992,40.6957146739527,42.157115239112706,40.902899480057016,38.97914575585882,34.736010760317164,35.497575468492215,33.26184702766906,32.239644568382296,32.63806013401625,33.93755855255778,37.847562449311496,35.83012445811149,33.46372878115715,36.22729221360143,33.05413865848183,30.716684442755806,28.390100036652527,28.052349159485587,23.79775320659289,24.744754748757966,20.953682808274632,24.32681877167378,20.34351683560965,21.101390228328466,24.32977659640538,24.176970943310764,26.84943565630272,28.028728770797716,30.51716444681624,32.781345662994084,34.11176054309,34.932952878692156,38.67771305036146,41.099766356170626,40.489503918535995,43.205889333193674,46.17524172163731,44.261488955446225,40.58625948869706,39.735750320032,36.81493518070786,38.73950208577301,38.188752498918404,37.59589471957611,37.120385945439075,34.270724783561235,39.058246150039615,40.48159542566503,41.64531577452538,41.95988520366964,38.183925015644746,43.59808458335845,46.75930755392764,44.48376667894056,46.64889402227202,45.000819872453846,50.23021252985109,50.04483198838853,51.363958768670045,51.32539167749554,49.05348108958902,48.63687876262709,46.28842404265646,46.18680782831459,46.50497432578977,42.10952918429478,42.35070847119521,39.85439179494578,36.99311716440885,39.0591059387109,35.89992451768656,33.08160227737199,35.12161458362882,35.82319203527209,30.99731570199521,30.841819856609174,33.63398144492811,32.45199962986933,27.56681034572151,29.534641625468865,30.88149921419137,26.509501912399035,25.658519034635052,29.757098993429477,31.328086918415185,34.39713721202843,37.94309790342067,37.17820331366685,38.87979950374699,43.91130821274196,45.479218386952766,48.69283171414709,48.84902186947641,47.349658604754445,49.1428344736626,46.37466504665638,51.2656995474377,50.976287083691005,45.57949315062282,48.09329534975277,52.46539535674483,49.17194715772653,46.8830505324572,50.28683048815648,51.348667241836026,47.210313735723275,46.06202763794248,42.32249673114838,42.74884715901623,45.038846849042926,42.96927081120255,43.34309804796246,44.23219469397616,40.99268544619198,39.16630893251775,39.58258220939845,37.88272240147075,34.378358780527684,34.45122155149071,34.19525150266615,31.14020522319211,30.22208648173829,34.47928554032221,32.77235111258183,28.33111867640813,32.02778065229788,35.6619756531716,36.477535605660826,39.37699707798242,39.07645246565081,43.43059379779834,42.0541446285461,37.676711874459606,41.813580754785114,43.81871129564022,40.98113194590582,40.675449760352336,46.52308129119027,45.73605043399352,41.39552415960009,44.16536683055883,48.708982654500936,46.86756451478673,43.656929484225685,39.17426897549754,43.43420569476106,39.471222691528325,38.99201656271482,33.9433268606607,32.843766938788214,27.939996856714753,29.324383389740827,31.534951120459095,35.263463449436806,35.059386569305495,35.712136219070715,31.719102658279557,34.19477375295075,30.33817911989779,27.77562787259743,28.146746258440068,27.87253822632152,25.57943743368594,23.99404704660158,23.71124748128733,21.23305310411831,19.243822666335674,18.94423191600471,18.350724994991904,15.753765695343764,15.762194537189533,16.8023301606206,18.709837344740492],[24.113526665140533,23.89081345212272,25.054928280965008,21.843309265802876,25.21681243540696,19.442625828573906,19.61900566587312,20.175090147435835,15.924455495683327,17.330410350221452,16.556933695376514,18.680811901870168,21.620932492849438,18.555463252390055,21.60490418024584,24.42619506068222,25.323542447651736,28.669601799660146,31.56102034163393,34.78910490800332,37.73984104160678,41.68601138162815,42.712284816410666,42.92438588986277,40.69647032910599,36.24540508944819,34.97807782325847,30.917402304626567,30.164369426424006,29.124617011689995,28.760847302911426,29.34747557967967,30.894127964455535,34.598976545210256,34.32533825938804,33.70753961970621,33.92274812758395,35.98560052468499,37.151740217648616,43.42148233649411,41.56340362652831,40.10387491208598,44.356420458390964,45.66736814261184,48.478043887771484,49.76392493046971,53.325111440483894,50.65024896310824,48.386598737904485,54.00129980736105,54.43297804236404,55.00189546526938,55.124821503040856,49.97991641672204,50.24456281697365,54.074202468834734,52.7588670683728,47.92803245118237,50.55733458489646,54.334760013146706,49.21882243564462,48.07653698650986,44.948825238982685,46.094714249276834,45.349363470476405,41.9515772316381,37.957709231936214,34.11462129261358,31.22454886739654,27.49797201186997,26.986437567614292,27.65155474471758,29.35698697682739,33.969989409548766,33.11393191614596,38.57678523294492,39.53088724241904,41.29802530198792,41.85001782022382,44.46085291103788,43.02677459004739,44.36558627713736,42.02152008144642,44.12449515218084,42.09100729864295,39.12096524286542,39.83279426666716,39.1252073307368,37.91698284587849,38.64946457790206,35.566342849829205,36.72264553818436,32.84345481637516,30.593328692066436,26.55599341932683,24.816666131295452,21.306288213628438,25.379128527554414,23.88916156483579,25.432141996509053,29.130693006416514,30.36927941465176,33.04650274729295,33.24661631790545,38.116681048961155,34.705310838476,37.992853484899236,38.35339738837334,34.837240515190366,33.236591083790586,29.057566207575107,28.693911092791442,24.03068317843491,25.538820648846936,23.225671988711103,24.91350410285394,26.576666536168428,29.294953401739292,30.472030627651215,27.289552070005627,24.62020201490557,21.870695548631645,22.83388436617147,21.48929106352399,20.16897002750859,25.05518018143016,25.476641624792954,28.864202043737727,32.09977647834875,35.78095189819987,37.53970478420194,41.297427244753656,42.295069942232494,41.189960275251885,38.81426225069352,34.385727703557095,35.211111577951144,32.423406380764725,30.938367093778414,31.279791161180107,31.9059007701232,35.64696304218781,33.66707889327196,31.63990298517964,34.55784148520686,31.617249318622303,29.39038864791144,27.547709330219117,27.803752244462075,23.859632929363567,25.622958524766876,22.147857328909538,26.1115466616326,22.741133632686516,22.705010377953858,25.50710247545578,24.695361550879728,27.63441340438943,28.0423999855799,30.80768303574354,32.42951802655746,33.27381642652839,33.77852269571861,37.581341922496456,39.9764937171191,39.15351920985886,42.27513303269013,45.05277087262187,43.42914359063132,39.56296689408697,38.99860836480856,35.88920467638175,38.02158106414613,37.675036242312736,37.143079383355825,37.06133674078447,33.957173122388525,39.0450960933888,40.07327358783956,41.55912097794227,41.52877066293911,38.27693062233115,43.596396525666584,46.597051594714394,44.057073405658215,45.84711874705647,43.870252137837426,49.116733061980106,48.58456828923092,50.2817831992835,50.36858516165564,48.35510562778551,48.11181101730017,45.981946834327864,46.174614935368034,46.74058143008874,42.37236384917164,43.04573067253332,40.787917013746515,38.12185948919224,40.63751347451359,37.69444326622736,34.570338070539,36.696630361961915,37.88453158465628,33.070726676085805,32.43951056921106,35.69524769071746,35.063251170440985,29.89047672323453,31.80430847208745,33.59203745885189,29.37987953593853,28.080837352545544,32.33625657447538,33.541205936943214,37.10507044737966,39.89517826454437,39.33419297238413,41.4055887922012,46.362562514554796,48.298021612234876,51.2359930382998,51.510130890804184,49.79031083075293,51.550603052830226,48.61445631375598,53.36729532189197,53.112331967180786,47.45716037262528,49.862621877471376,54.161522757696,50.74016532070945,48.270703923272094,51.4831410941865,52.517997159654264,48.36229648005817,46.84717834965454,43.516967700037796,43.97760786767512,46.54954595545335,44.89170478072518,45.3658409677118,46.65402204548084,43.19232936106878,41.200032704484556,42.15578568446713,40.53239720753969,36.712121124871196,36.965511893396354,37.16099382874068,34.18427274390041,33.07895173439799,37.58294320346993,36.17648935508844,31.692386787523922,35.22344855257062,38.98414552101549,39.492742555638394,42.32719589391415,41.745439672210836,46.06912034041954,44.81414400686403,40.117794570340266,44.07855344846607,46.12964512198292,43.22080514014449,42.519216607918686,48.46272831364949,47.66960237507696,43.030087972975345,45.59924757564806,50.298075845538115,48.3966717655378,44.97493731043594,40.3824845922189,44.522579973287144,40.41459838874335,40.46742909611904,35.230589339659055,34.40250626490485,29.540416000898627,30.399759060712643,32.43441139833124,36.00936087767747,35.68838705383591,36.77575199943649,32.61403765611301,35.095651079128174,30.95201252599857,29.21005734222871,29.878538011629267,30.138716507506174,27.603542834044436,25.6422529716025,26.108351744924217,23.891131055980566,21.04618389239913,21.098944727315857,21.37039873898227,19.15249627405221,18.94594178776114,20.209351563333716,22.26179631407211],[29.840694371143947,29.577633689929517,30.264916056011273,27.528163259043843,30.006829453127242,23.871211076896067,23.27970263591384,22.574096139681163,18.191671000865696,19.116524766530574,16.9760587284897,18.20931162888179,22.058554612966443,19.308922309785192,20.76802230883518,23.70050916550381,25.674378381892666,28.344156802006875,31.642795836578774,34.69822869322541,37.58396747756066,41.56206307718142,42.73726232605782,43.527579387921165,41.41277874506275,37.03021362542384,35.88708032399017,31.951041465677314,30.36048877277329,28.892076939180676,27.080395680686376,27.95777199321279,28.47967758785563,32.04911666747642,32.65133920474686,32.67710114419385,33.289837137699195,36.10052108577684,37.876141434505044,44.01655374672575,42.738093178041815,40.52875348014418,44.46873558321447,46.240675095214144,49.36901123517702,51.10908954073191,54.34703090823714,51.216708259882786,49.43019681726473,55.06974477256219,54.8594386480102,55.38557464645228,55.04581974679914,50.04378888750693,49.820724467863556,53.37398981862148,52.30323947699174,47.28188670193838,49.351387106747545,53.30242111734035,48.40108875269954,46.66224583054889,43.19162814097347,44.57513577972922,44.46774260546526,40.98754744560851,37.01888022223566,32.97331606674854,30.475613360169167,26.318907690369578,26.255326067591373,26.35113385015453,27.436750029440564,32.26250473037116,31.124198930604713,35.92415955637291,37.623562199285516,38.782327023352586,39.96346452411442,43.07677302332138,41.903326227303985,43.9670796159261,41.67963590477565,44.38267845444559,42.820547071768516,39.25108216112917,39.504684751201054,38.132162952938316,36.7296924927032,36.40052409526026,33.26551669154688,33.665189461869865,29.760149581603738,27.48498209722194,24.131674989258485,21.57831884961663,18.957091154446502,23.051256414825456,22.230517855423912,23.606719394208287,27.794973610042373,29.951173179770908,32.72217076952691,33.86197401878549,39.23637866560063,36.53143040599137,40.086940432852515,41.08430002687046,38.005478338519055,35.71630441720688,32.12858383605647,31.351649495655042,26.69430208569362,28.359976923869453,25.328294387410462,27.56650346603419,28.440817227241567,31.52314562768025,31.736923794708694,28.028842205800586,25.947017668151684,23.55250891176804,25.73413348392219,24.689797813123505,23.691772416910172,28.785619741897314,29.404900833762678,32.37389098688058,35.55662872381531,38.62864933323536,41.25971188234743,44.63736960493688,45.574172458780914,43.795158108746556,42.039240810603275,37.677730220454805,39.372981859383714,36.41957723737235,34.90277968459127,34.517365394280134,35.18566285730618,38.4652905663941,35.89142153885595,34.00051812745422,36.27235963494144,32.946390324812555,31.251918641131677,28.98687420589289,29.445309911087108,25.517807433459392,27.244993468447397,23.078590753204427,26.345736040299855,22.40418084720398,21.59955376347069,24.85691290398254,24.564401387590387,28.171376599609175,28.34904013037078,32.17621737041123,34.36796167037704,34.44289925028455,35.9876531528295,39.212576215126525,42.371547629816504,42.3499907893633,45.422034527169416,48.509591686137036,47.26345249530195,43.42158752670232,42.60111661393424,39.128050839027864,40.52593991127804,39.62129523120089,38.433504775287595,37.88534476989694,34.249882985142996,38.99673962602501,40.643998099167455,42.356443477809336,43.113327010891204,40.10092548275872,45.691370840703414,48.84231644054708,46.41173410460814,47.625099553153355,45.32159166638059,50.72967772026916,50.714860085195575,52.521137319088545,52.99653212042408,50.97705652093101,51.224358334575236,49.315389896335006,49.64402349850463,50.548524248661586,46.456644089335406,47.048416485783655,45.13460914581153,41.99881667752499,44.65565023642529,41.2713864016606,38.454715245415585,41.19046649462478,42.02402770226478,37.16716598785457,37.4207607178084,40.47171842308211,39.149806284653046,34.580296478975576,36.881410290121664,38.321724092764974,33.87875600418089,33.36100432299247,37.631876257764475,39.032014675325826,42.16553309116865,45.530048028135276,44.53883990230681,46.327500810697025,51.18607182641643,52.8545243639348,55.80688959238678,55.6205910266628,53.83585688811368,55.24578899501139,52.07529516434866,56.92886870853627,57.11908158213516,51.599130345277516,53.635936935047475,58.268233433399935,55.19835935104163,52.53999841039797,55.60426359416949,57.17623561399623,53.19729493120246,51.253995409301794,47.9762115659959,47.634467496855635,50.091381505034036,48.37075976659007,48.23355731532586,49.237561541960446,45.49050332476904,44.17981948007572,45.04637886849096,42.79604251942797,39.35024657001,40.21786680224947,39.93852460927868,36.83436230615541,36.502392346788035,40.89167909469561,39.120008430665116,35.01759350725865,39.05926876346934,42.60760292708616,43.474124250777436,46.008004525205386,45.314264327434124,49.75351985702422,48.905302252586644,44.45428627517826,48.21216156275138,50.63516829386731,47.98071431567273,47.23530354161626,53.14018467303037,52.79973912797604,48.29649374422791,50.63382608964744,55.462666817426744,53.91887307186368,50.59240421620976,46.131327854304274,50.52607477357239,46.60451802092989,46.48402609811454,41.30881817966534,40.042425118999674,35.13942597653492,36.5084261509167,38.37234722403059,41.99461961056213,41.37339331552603,42.01037964864163,37.515073973806665,39.463583883527285,35.157103503416714,33.5051435459234,33.31512049474589,33.29816261460393,30.134667124643997,29.311533495667916,29.91296523709158,26.87636475590907,24.358783796834064,25.578069348208643,25.0190177822538,22.047718118144292,21.118837552372643,21.702205744883283,23.50968859506394],[29.361481747847776,28.958895649596755,29.87227252020041,26.138248094413083,29.136968597217322,23.667179507245297,23.07347721525623,23.50435829760261,18.832483054307126,18.98494183935585,17.526366297910975,20.014262362054076,22.549296808013846,18.80292449038441,21.09812875030772,24.308143337152625,25.21610361937547,27.786117921091297,30.225005530162136,33.82595252130285,36.32868594478651,40.48442115604832,41.17001438027248,41.541013086010445,39.742303163824516,35.2598310136155,34.568818301635645,30.752193154577082,29.942627907726227,29.310245188573603,27.798073014442604,29.41340627010102,30.516490975431587,33.69443475322677,33.8864801892583,33.13737249292368,34.124867816621546,35.899305520587795,37.36420805334187,43.71775202646193,41.61076483951083,39.55652426584562,43.71280927083435,45.46774302521115,48.20863506174981,49.88448368483592,53.22817793407134,50.45245092612029,48.693851267299415,54.38573385520263,54.54153957501816,55.38685250549923,55.219786071195124,49.8761754992953,50.288221647947154,53.769084545332014,52.20386851039046,47.36702101352071,49.838682397516656,53.407154116122236,48.11182238469531,46.50083967519012,43.32713565234376,44.062778759276746,43.787360005023686,40.627471819036245,36.125249900355534,32.48553956340755,29.215107977614874,25.50396894135616,24.710164075966336,24.64402015424449,26.663457993888127,31.358430024264944,31.059477511083106,36.26600431518415,37.86958788416784,39.692966036597724,40.70903987332251,43.5751920710752,42.737746778362684,44.45097111153898,42.655920768455275,44.99888197595381,42.87598525215258,39.60113594351531,39.63912513830448,39.06419193655142,37.11942346420986,37.64010075218637,34.127198098808414,34.67093102002711,30.974944706278094,29.1895416565001,25.54572694044086,23.363347550341004,20.320093485076427,25.23766044745164,24.561638127435934,26.872130814972426,30.111392624598746,32.38071018255085,34.47615027055207,35.5420762348371,40.41932156428084,37.47140840445743,41.14689972070823,41.60165919724998,38.4093194116769,36.64862352520861,32.621642917993604,31.523056601504376,26.768401402434566,27.661498923363244,24.48337127250081,25.935624548800153,26.836416814569873,29.059247127286213,29.49566103397444,26.490389986134915,23.877140691610325,21.74296082582863,23.26244660099405,22.75016476494633,22.344234052186266,27.448284820143282,28.89505288745189,31.849030015909594,35.28771891216616,38.64103761882298,40.74228481430091,44.527216020544785,45.08649894690212,43.85006061836305,41.33618314902269,36.80889187417164,38.026747673455496,34.69044796570015,32.75818665359648,32.73770236325093,32.64692060887722,35.94496104864602,33.77349883264516,32.21738575343895,34.97716419216726,32.15149127990726,30.31521848229269,28.807718497424844,29.715366219694875,26.12803665530623,28.52761079512967,25.057280899156126,29.114713019377607,25.951652966189148,25.03773571317216,27.673309059090073,26.561031544728426,29.973223007037483,29.602210506223287,33.04452788748162,34.30824360313488,34.33255201694278,34.97000141342776,38.535175562954876,41.21140076775232,40.51448235457375,43.99888310628851,46.68494955613139,45.51518979589188,41.50591050730384,41.12833736808684,37.72049082165071,39.72817965357478,39.345237006206794,38.59132144274029,38.677984111867325,35.12711185844396,40.29659138392035,41.21805063059218,43.1016630285242,43.088382910392575,40.4577486724648,45.76526619006825,48.66010695558459,45.93174350409912,47.09512843336872,44.65486012057151,49.95527487802041,49.28638588909794,51.41580427147402,51.793658510947466,50.04681552073702,50.17710299685977,48.358856404238935,48.8782482889739,49.7961011707894,45.584679651470566,46.59650579850799,44.67658724209307,42.01296240353265,44.91564155216842,41.98616274679053,38.76455164594322,41.15799780674913,42.5672021301915,37.765127776341096,37.10246970970305,40.592937114675834,40.09570309480318,34.95145466041628,36.9343821886773,38.874596484701875,34.69098291190624,33.35698184136447,37.67570137760742,38.7261727218254,42.45286272209951,44.92745580199972,44.39955177798338,46.61837173673675,51.49659756222218,53.57601053426352,56.34997494528925,56.56087937832247,54.67538965640099,56.29149832823288,53.15697631134101,57.83647571410217,57.76487313622645,51.97880471601778,54.1655705388786,58.51579617084667,55.126641317022965,52.45944368242871,55.452620978574394,56.64907026250864,52.55586261674375,50.59969988868822,47.63983502965237,47.83397333648988,50.5770531516703,49.216726616395405,49.53397896259585,51.00072211523605,47.27421919402614,45.43099497451508,46.73249480210277,44.92305733599289,41.03815189530621,41.643899440241846,41.953968766167144,38.97780340515593,38.039059747202,42.64736321391751,41.27953492074357,36.895105539706144,40.5070881152186,44.26960631111031,44.72445969461982,47.42555537864559,46.63077037987738,50.96967357210119,49.92723302415099,45.11360284651256,48.88270255932825,51.08069143334103,48.207514706515234,47.222394511760335,53.2043179573652,52.543531817807775,47.746620673855176,50.0877795209542,54.924717993559376,53.08378722816299,49.54495079566918,44.92914746245162,49.01126511145813,44.85662244754715,45.257139616579984,39.94026391144762,39.21069779026861,34.40284939714232,35.014459921099316,36.86309370641625,40.297734792256854,39.80911741906832,41.0928747123183,36.72998935062809,39.00689524815547,34.6126818460759,33.55280102886009,34.11411977532561,34.636886504125066,31.70896259951205,29.939241298370618,30.93992158610423,28.589044691685206,25.357281623689047,26.045104176625685,26.500363345431232,24.186111052820664,23.603718159785334,24.69367540786295,26.729325596491353],[33.93845466515532,33.565281238638086,34.390547455360256,30.674261902986412,33.41615530529182,27.92633621262372,26.998227283514804,27.04759338638976,22.301774077426508,21.98657973608525,19.943480746152975,22.187348402532237,24.80229461832007,21.00158839812267,22.366438366048246,25.699435870061624,26.94120505975419,28.853102226179203,31.12668653144433,34.81787471856021,37.01520911035557,41.250211655272366,41.7787229195158,42.41187202487106,40.90986515944335,36.487127536412714,36.147573678353496,32.54870132784868,31.466903899223027,30.895810692333633,28.359564205258586,30.546630189456426,31.046388821260347,33.857669598822056,34.606664266572146,34.03149580318379,35.50895848631388,37.37471619901922,39.15570261716345,45.447081400747464,43.416822412634886,40.8567987338509,44.82383610867757,46.934954439120276,49.71641962524462,51.71099526084351,54.82895829334638,51.88209412394729,50.5304574859724,56.231240535597586,56.05485539458812,57.01286494815225,56.558631892097985,51.19366876624024,51.51335276091287,54.71026613991562,53.11128226572216,48.24103311426765,50.42084571136397,53.91728025556245,48.63497797940233,46.57159097323745,43.277656366487435,43.84768418201979,44.070081179742054,41.04843720586691,36.313849197248466,32.77969208892371,29.472348798559935,25.710602118726264,24.912754237656987,24.15589222432145,26.12757582025397,30.862338867889243,30.8248284906031,35.54935118638976,37.800957689500535,39.41159141516487,40.90651768921493,44.06015297833688,43.62451891239301,45.75110983433239,44.23920712047954,46.86888609339334,44.8760823934601,41.30217342002721,40.874527033126554,40.1423551454175,37.78800182758384,37.808503632343694,34.09011316457528,33.979783775318054,30.441407158458937,28.946660981349442,25.86296150810367,23.18774561894171,20.84546761788728,26.025836421524808,25.958634376633054,28.43340250037626,31.63284954236207,34.560439846077436,36.465776992784974,38.13962761108103,43.15221991035198,40.59615902056965,44.45370821244962,45.12782768029481,42.16217918675965,40.16158488221237,36.36313898409525,34.95308468104569,30.211917360814724,30.950262175681328,27.316209369512254,28.80182993203746,29.14430728940938,31.181466587583714,30.96418483585754,27.965698730065245,25.623628667366106,23.951697558162834,26.002460572192422,25.91380532124708,25.906953627407734,31.066086468475966,32.848121767580245,35.558323810035866,39.02420400419608,42.09419230756539,44.53423513018063,48.21432727027937,48.61224628363239,47.14543656596768,44.76837862450577,40.24885921244658,41.81435347805038,38.2668653863379,36.1735953217085,35.83272009277801,35.446123017244986,38.388184483554774,35.99423307386838,34.71500135190711,37.18749089151134,34.33816504396316,32.85057517716663,31.374504142117356,32.56866657993316,29.146278820587554,31.689688454399697,28.03449659295796,31.831838293918736,28.529529520880466,27.163737121168584,29.878830047569956,28.873699442904353,32.61059586001518,31.912839191339604,35.88951763209733,37.19203493977489,36.66681272732915,37.658152026560494,40.92130340995898,43.91407870256283,43.48857207854747,47.089536360812644,49.799495656797355,48.91624713188756,44.87784915526971,44.513884130795034,40.92009826541386,42.66631757510654,42.11144538511669,41.07852863332301,41.08214232339849,37.21837310855294,42.256454597647775,43.33356705411484,45.4357986866412,45.67658762109586,43.3702173641005,48.726740313596444,51.61279441611637,48.85639902395096,49.58790118481129,46.86315527768318,52.20238117028527,51.6222699499865,53.96969671136346,54.58062503470911,52.95149800756865,53.36881998330848,51.73730129594798,52.412017630131956,53.53844831625623,49.45916654992452,50.552306616026605,48.81809151598481,46.037267917974376,49.065597116268236,46.01723416214283,42.864411647738805,45.46870835418837,46.82294674122216,42.00849437765229,41.560039305582386,45.0349609527076,44.36664596681606,39.374386998907724,41.447834021256604,43.30323796496759,39.04970888189095,37.88789382420114,42.195516111249475,43.30849580416232,46.939767945400696,49.5403960639129,48.946525404797576,51.107134224518994,55.9696039206257,57.979078498163354,60.7642058484345,60.85289551864077,58.935934715145066,60.433034106029936,57.19706019674186,61.89236633295084,61.982355986660444,56.20975545310304,58.24885908406238,62.700495506227774,59.411013202354404,56.650655088684786,59.54531679612384,60.91797903860261,56.88506804628955,54.71035782071597,51.86611493806814,51.781308152326865,54.53288382170527,53.2221585538666,53.32019928752177,54.72722781892731,50.860659980531956,49.26875228473207,50.598211871127,48.552584195149535,44.7881172328362,45.63873211184577,45.80066084270235,42.77885992137916,42.104963805854894,46.67882376685782,45.174873619983856,40.908313167166234,44.68760156199082,48.38366528928214,48.964179787912485,51.58242490357981,50.74537071676578,55.12335817305473,54.21058252379397,49.4568539443158,53.15558518541624,55.46936253206766,52.65936491122188,51.63009932738657,57.610466728535975,57.06881929275186,52.27576915000063,54.52940740076106,59.41989370106351,57.655634007405496,54.11159345227561,49.51067214127756,53.611446604405295,49.463608192570604,49.89700355775124,44.580958118832825,43.811776960492615,38.99938834338452,39.649580900120846,41.45366844124373,44.863915985472126,44.29594347373574,45.540134330893345,41.06691490185208,43.16679896129033,38.6759022943553,37.79265136171986,38.10087400266092,38.581487058813856,35.40193914941535,34.00574085248702,35.107781259344996,32.494628540926186,29.328336866100646,30.392398061936277,30.60470447993847,28.036289083517566,27.219208378960992,28.039919543796042,29.966115422087867],[35.24649922094552,35.295301336060525,36.51812532621912,33.3257882388737,36.40846119162995,30.565167385743806,30.096062143117965,29.860964404859622,25.312252574069042,25.670858054025413,23.53495858578076,25.21184243601472,28.52252022577724,25.11681250418839,26.315419728406468,29.53319862642492,31.183573950120138,33.19060321740128,35.72976439266774,39.27407249345431,41.57057494727482,45.765830494774455,46.40649958265449,47.1484141178009,45.594234803931265,41.1883235155407,40.719625022000734,37.05200127527899,35.73876978900355,34.81727751878006,32.16434248697693,33.98835745946638,34.14900739872368,37.150250389818424,38.17366445267738,37.977315576484415,39.26679200867727,41.585511618020824,43.45517515999714,49.68819485221001,47.926495788915894,45.35297117597606,49.258173728162895,51.37026841613589,54.27153705294677,56.25779740264726,59.369563823656975,56.322438192923535,54.92295231227699,60.6117781030133,60.33589623409183,61.15791040866875,60.64887369246282,55.418251829268456,55.47160053639366,58.70318732962563,57.30956391698301,52.36003899933791,54.3448723410294,57.99734944976928,52.87009421393955,50.686107695422194,47.255726462426765,48.024502865472165,48.405671827405335,45.296486682349965,40.70397715083333,37.05316740374454,33.976251680298596,30.074732548832674,29.480217301597495,28.62402765328187,30.332811271858926,35.107838989680495,34.85111634382594,39.276406233816864,41.73425172436965,42.99936102887918,44.66658028243751,47.97198246177566,47.40654680677027,49.69757061606111,47.920371234015505,50.69281986684118,48.930887988785905,45.26775770621114,44.97021972524385,43.87395456768436,41.7607554948016,41.32025719421565,37.756297948581675,37.4146619300611,33.82070958901191,32.135261988629274,29.29814887527175,26.34712105116315,24.308175321535774,29.044882379093277,28.847077267701085,30.61078179631949,34.51644293631093,37.19393422947474,39.618484394077846,41.12852866445903,46.401299467947254,43.775277840739555,47.43954542767433,48.27855561791825,45.16655889750834,43.05508071320764,39.30918879351006,38.33853894063845,33.61288928427086,34.791536364030456,31.4073168431249,33.13074892437246,33.64643313344712,35.90171665247163,35.73747843059081,32.577949248691176,30.318140840465215,28.494902491999365,30.537525542782735,30.16670763435284,29.766584462934773,34.91696848569552,36.09966075149587,39.05872647175917,42.39722695863088,45.56463539997496,47.9847335962821,51.57718487665688,52.27676320287112,50.714228794461754,48.574741926190974,44.09906767239652,45.567577060362375,42.27719942484439,40.37318318151949,40.13231085941198,40.00582098543925,43.05820366754449,40.65530133287426,39.234825562973526,41.66171499208893,38.65097103441361,37.11212134743803,35.33547886671561,36.222915631582055,32.5294263700089,34.60238640574257,30.57499878384328,33.906151999043125,29.913957858669413,28.988276224372303,32.20468782117343,31.75429722777774,35.488427348328976,35.25891667355147,39.250337326990405,41.004292875296464,40.69274135891467,41.91517532057614,45.166460751049094,48.22867567314564,47.8751338001091,51.32935191398126,54.12994462024853,53.07116307115478,49.0803090693861,48.602465841058574,45.08629260127562,46.76716826274036,46.08103301242205,44.955944221672056,44.67522613475696,40.846563330278165,45.693689457088446,47.12243175683603,49.08388299194679,49.61348578178029,46.99161852189373,52.47394092482589,55.48508410961927,52.85929863527418,53.768642365649136,51.162617253372424,56.53728401925287,56.13343228300161,58.33276816543998,58.89320203503997,57.130252766229724,57.45676583340769,55.68539499894063,56.188247711132405,57.1454819085217,52.98449942726555,53.81818823008557,51.85386774979489,48.96985295777474,51.6613413157372,48.46255167305307,45.49628840246609,47.96035337313552,48.97291715020745,44.12479122777149,43.877385472301164,47.02419713792515,45.981388908305036,41.107435886708615,43.09754191349674,44.600433451654084,40.24846612897533,39.24052947807318,43.32462893995409,44.7921227377414,48.044287975984865,51.24951478536588,50.6812030437764,52.54591847477707,57.550043711238075,59.19211040254745,62.33527756000064,62.42871067600838,60.77228711265179,62.366696764655075,59.31448093754157,64.14670290361094,64.14429186987046,58.570552416277266,60.76698436649642,65.25474211562207,61.996710611809185,59.40872239547248,62.49261423141249,63.79455292612085,59.71073114580216,57.886065018841784,54.71254351291652,54.70901736034065,57.268986612164035,55.611502238810175,55.64997535780129,56.696867172107005,53.01333136897867,51.56498907836283,52.4034361209279,50.271196906184656,46.79511765416799,47.465619021851005,47.190622964521665,44.08218199441115,43.561799849929166,47.87551039586697,46.038339940522505,41.793899900121595,45.672067265076514,49.235324735307294,50.137664275026694,52.90397497414514,52.40121755581444,56.80446586378576,55.66982552563082,51.205014970543495,55.14062571551924,57.32344388414887,54.500748972153694,53.87315389602882,59.797544781314514,59.09944549473534,54.52552626258221,57.05439230899579,61.78003208231747,59.9072127933264,56.4954400553712,51.89710351851479,55.96456333210785,51.78164648421746,51.844117095366485,46.64790356474257,45.908585443519534,41.04489444610187,41.85061079230732,43.926636563628826,47.456920745908185,47.12111826674366,48.23329771591912,43.93924608778317,46.16639724987292,41.837128770186375,40.35519534730322,40.531807134976496,40.59653788792498,37.58703254531813,36.427779932268145,36.92967112676167,34.125426029838565,31.576074114326563,32.25597161756255,31.84736941632798,28.945621223981334,28.300787764246284,28.778561956323095,30.508851144932898],[31.120592406214964,31.29288163851809,32.806731976890944,29.614292684918613,33.137014500618434,27.374952676107366,27.37296345140587,27.5802473651944,23.149627494306348,23.968807298198545,22.397891145556116,24.31780373942053,27.51945462066435,24.09986599732451,26.124864656034955,29.276880036560648,30.55521110622288,33.0944880923511,35.65546941352049,39.210375346782314,41.705137019824946,45.86899628295841,46.56184520119227,47.015870288298444,45.26844472171125,40.79606835548257,40.10287507430888,36.27063386954081,35.28394553713293,34.391306581989845,32.61268591337613,34.02676938320237,34.74021723562791,38.03887299000052,38.564138221632476,38.14978536403328,39.05743870546835,41.20064866740487,42.758715678455346,49.069389567279316,47.13450274925336,45.02204158466612,49.12121598405838,50.92270081003467,53.73328739410199,55.42463982831209,58.75260375043099,55.90919128932322,54.150598039500416,59.83429908895226,59.907372171116634,60.66449049970367,60.43511609538025,55.17828365360701,55.385760315305106,58.864422402666975,57.44103710470724,52.53618633577674,54.82188046486379,58.49761763942597,53.3005610009172,51.507944167970976,48.204937490108456,49.02230042608224,48.973061777262544,45.78619768129019,41.29324404092504,37.602211081529866,34.42906686663232,30.61204014982442,29.9071390153654,29.531055931739214,31.446138321955004,36.2076718377419,35.865504529803,40.754468998683144,42.69202714947809,44.21471960789906,45.47415242532479,48.520804597518506,47.645233863053654,49.54418778414472,47.55545240824458,50.03827781331069,48.105683122578284,44.74183552404207,44.831780428530074,43.947588589196044,42.12555010658736,42.18905877307375,38.73957886093166,38.941655607549706,35.217110040240414,33.32946606237068,29.987270205199625,27.43583658191226,24.77747810407302,29.391751338786836,28.67128318755592,30.294700084840883,34.25314483417903,36.314771235931204,38.916005569967076,39.832640159275684,44.953677892936575,41.91624200929801,45.37664938949826,45.95362805339493,42.58017146205704,40.76439073383048,36.758736359111026,36.14235604546389,31.4218565641046,32.70851474993908,29.77347623844447,31.367208849987517,32.38064628220961,34.64633530056753,35.07083659040862,32.02116473261368,29.467635071772516,27.31196211781713,28.78585958582165,28.11244833021792,27.39061456108558,32.430611677030726,33.28478607999784,36.51166713675221,39.81510978011135,43.306286273963195,45.29780908762398,49.02905235499646,49.880695053803294,48.615663548761674,46.272343848791145,41.79066999102902,42.81355178929454,39.728590769411774,37.943368194782394,38.08240704648759,38.11264459299312,41.48747166129044,39.361082093632234,37.75069705916516,40.49730327071329,37.57804473356247,35.71350104445833,33.98755863680012,34.63158366674877,30.80209835907659,32.72510928156353,28.883587408644463,32.44873715601311,28.505518117418877,28.097249106741263,31.281704646041682,30.740023533300874,34.15505988951813,34.23488640112809,37.687971118123386,39.34636579754788,39.55336843481415,40.34833330341981,43.91222241303606,46.60986067699796,45.897227082475474,49.284178584492274,51.98906334259279,50.64886804916464,46.680798228822205,46.25722460746315,42.9583612269088,44.96830264486238,44.50605122099516,43.69011790387314,43.534801441848465,40.00734831161958,45.00393981666548,46.23831111268214,48.00511699529084,48.227545105421086,45.319836123259954,50.72138908126598,53.7135168648588,51.092255619309164,52.41654889315985,50.06432430199088,55.38477351519645,54.80586716297022,56.84386991290045,57.163146828399476,55.320576011384055,55.34143197340218,53.38956781034031,53.74451672539044,54.46365946128231,50.14727642075952,50.91407590257247,48.714619586798854,46.01824815241773,48.527926820718605,45.496048968121585,42.45313311421482,44.59202356370071,45.66058720963986,40.83798823110002,40.26558504998071,43.39368243406244,42.56175182723525,37.47275485373516,39.2694570067417,40.82925017160199,36.569161215425325,35.2771562801365,39.28635258770845,40.74803525728605,44.082516956521374,47.17732324102145,46.791160236171976,48.70071867148572,53.76708314000961,55.44450090138583,58.65258597256225,58.956528046334554,57.39522215373022,59.178195697984776,56.29152383188222,61.10698621788519,60.8651102922457,55.29312558288171,57.70608009936077,62.03899450536451,58.63357559403537,56.191864848861,59.40099358338025,60.42957100692568,56.260830038597824,54.75312057202851,51.44962221035241,51.84532454622205,54.392828229342406,52.661665057551154,52.982765132405866,54.0701337378096,50.582944708086075,48.83573797889628,49.58268690123261,47.73946242517993,44.15393349226316,44.48048844136354,44.324450575236774,41.25660142607587,40.410148665186064,44.71177189571508,42.97676281945432,38.561655906911255,42.222981107640685,45.85190806538108,46.65501887976645,49.588002343998845,49.216307278920006,53.56512477316256,52.1904386507784,47.69215111676775,51.77092695047736,53.74645947398487,50.815209003975355,50.31495695743986,56.22495825060435,55.29049939482698,50.731624241861134,53.430522315145005,58.040213304489725,55.99343267697193,52.59166219294798,47.958841151597355,51.90792761871535,47.66362634830984,47.68471548124746,42.516845534908995,41.954946422168064,37.119629063311685,37.77039943471414,39.97937286815492,43.513069275354404,43.368803093326704,44.61137168251696,40.534207745079065,43.02508650247035,38.841447227736595,37.12837936146013,37.64560701326222,37.716372052421384,35.05043874818423,33.44990756122166,33.71954091423486,31.23211574202686,28.720312757730138,28.80033118097023,28.573941103735738,25.917968759718416,25.62537328291605,26.336207457371753,28.146487300030365],[27.705296457584424,28.055549411993923,29.673002962016845,27.093348517174164,30.674675102138437,24.62915029921536,25.073076893296328,25.071769631920134,20.999410893132552,22.65417267770321,21.30953158927824,22.768954099091456,26.461174405952875,23.610011895370473,25.910134343039037,28.797926048965163,30.28319236243142,33.31452392098124,36.34201968117307,39.575613895707356,42.443157673802745,46.45626005372788,47.474623206024084,47.92211823978409,45.82642731139751,41.37473387060252,40.22868695336651,36.21013700077097,35.08958540026791,33.782160424116164,32.63797147000089,33.28447544349785,34.1646214216523,37.87853416827671,38.184638420769694,38.00076761360972,38.36023478293856,40.89583919820303,42.34127934432168,48.56241731016218,46.96013144502618,45.173830105566374,49.298057306862034,50.82922090183369,53.774841176302715,55.24067528799731,58.68489863128651,55.820903378739146,53.73857700803972,59.36755018955235,59.531840025912146,60.04436451081351,59.961126906023054,54.89920782880338,54.87816889151995,58.598552080264476,57.43846622882554,52.490342432579375,54.79935916626321,58.69688293098876,53.686338408900696,52.17031731734937,48.82796707274083,50.04950748736645,49.72249462025241,46.30345929304015,42.224890382959785,38.30063952297643,35.49708048458924,31.546849432199693,31.150072709297948,31.282676023225783,32.842130369897035,37.6205101531961,36.74998526633487,41.769131252127686,43.29802504117988,44.66610284884896,45.65461857384111,48.59151708264711,47.26444965370859,49.00148521387578,46.565618416562536,48.97633556988195,47.22090162570833,43.979124882477365,44.53012796378746,43.398666951938914,42.144811954327714,42.18178639451455,39.07003370045152,39.65571480685746,35.75390749778942,33.46829530217391,29.907302520529335,27.564118872339613,24.662690919522582,28.63372000987425,27.39051774932129,28.34853835804447,32.77992294207797,34.18160680244061,37.2793545291661,37.68373363122723,42.89833716401597,39.64666252600592,42.83055352775184,43.47780714114874,39.950046932968014,38.1117300722199,34.14380392310654,34.041835267451134,29.42396674635054,31.229310006216235,28.81380582241072,30.713057187709328,32.14837704195031,34.90309611526521,35.71240341510286,32.38234208838993,29.887665979627357,27.312692793147914,28.641265144651005,27.397831063618185,26.056547209272647,30.951695953672093,31.024557935445912,34.48468258427952,37.5909086323826,41.19408405291766,43.10256984110603,46.70540303780283,47.9092217249558,46.59670295530105,44.52224466707877,40.150179801023086,41.0578169405291,38.39170676745423,36.96549263138345,37.21990753076102,37.84005937055403,41.47432951439783,39.358070283473346,37.39209612918765,40.125071386866686,37.02258235532839,34.961230521962484,32.87671914548361,33.04575340215104,28.95143476364206,30.337286544694905,26.353332733921388,29.640740999680403,25.385027343391503,25.56611402627917,28.985479120805284,28.812827718360158,31.9746720631337,32.63885801554317,35.76675618470165,37.84150823510536,38.54089043550484,39.460552099806335,43.087109166139484,45.72809001395597,45.101728258098426,48.17333270684688,51.0281201958553,49.401591107644556,45.564189778098644,44.92340929699279,41.78756564771141,43.72432333900217,43.16405808421527,42.383531915335844,41.98613410499211,38.714365317033554,43.56510733136218,45.02099334501125,46.50550002965786,46.89015863197094,43.52671157468208,48.9897575535709,52.10076551127413,49.66643327026759,51.38036627720507,49.34083682774905,54.6548609831309,54.31032040013181,56.010137727883745,56.17623178290437,54.10680940440548,53.93029979142532,51.7721635831955,51.88422262914644,52.38690346259862,48.017063598108095,48.47406962371679,46.079393462687236,43.27502417248973,45.4740650505166,42.332237598691364,39.467093746242874,41.51541523047299,42.29183124363135,37.47156133046594,37.15824707703861,40.00473736066829,38.871059954314646,33.94176590827099,35.76252661387948,37.07461134364603,32.743238758645774,31.699783148364716,35.62487448303806,37.28556128285084,40.33536014986237,43.870025298289235,43.3440258415815,45.035773894185795,50.13642505552833,51.60641959161901,54.9635709414561,55.20442269547837,53.780192272343996,55.59881912168435,52.83742193367528,57.73100151021758,57.43992803881085,52.032812271788345,54.53824805243035,58.899034611501975,55.5632537305214,53.25299563544379,56.60634232479545,57.62758914607928,53.46122694752973,52.22979664662545,48.631149801294875,49.05471913943404,51.4175432902887,49.41610632204911,49.72159237261234,50.57594248982136,47.2636162840798,45.56156389389746,45.97297321621468,44.14284285308881,40.72650543746031,40.89085529412489,40.501925896132725,37.4095626155597,36.61958160440609,40.77183287451763,38.89999856735124,34.50553820601521,38.2182420347098,41.77623843870981,42.72944448480785,45.70197135531475,45.501059789273945,49.85280594525387,48.39199521507135,44.08067188389483,48.267592527898636,50.20016927605649,47.311305006981996,47.05683440989808,52.90417005668192,51.971029362901724,47.60189752325496,50.43324254633035,54.94213403835263,52.940684925358624,49.67671549097165,45.114238265749634,49.16774667568532,45.02784278821463,44.69516434993681,39.63526053602115,38.87592966256489,34.008689024175645,35.006551675542816,37.32365614297939,40.97495119797779,40.898295399984626,41.849290587245335,37.88198829223996,40.40087286998959,36.411314202048565,34.14923626788197,34.538688922845026,34.3021303984022,31.842880001951865,30.380397901168678,30.196869140879176,27.6283967078769,25.591989709768146,25.399346185780384,24.748103056891658,21.965367075806476,21.839421737090845,22.479850215492323,24.214970926146467],[26.46832167036241,26.694640661748792,28.515965313373513,25.171845872251776,29.2194359094559,23.75637557196019,24.28950268760899,25.18770391121274,20.993979109688038,22.20955658012299,21.45413240794988,23.731117428913958,26.508922882688193,23.08949355572366,26.053687269223982,29.056807676342927,29.763265104775357,32.82255483363712,35.27110393745951,38.8180258998422,41.46059846648078,45.546796205517516,46.250170014502494,46.34327769804056,44.42089720358678,39.92921119838272,39.03131440670299,35.094039723409104,34.575375788262136,33.82997430384477,33.08753252432459,34.116213216723764,35.492504525133064,38.99640076682096,38.91990028500311,38.178395109582645,38.697089491249585,40.48556962711209,41.63847095206961,47.9822844664521,45.78689164154218,44.2333585021274,48.52075434551588,49.955839384444516,52.59968766487707,53.9413333856958,57.49269981501615,54.934726893774375,52.796781169417294,58.433885536122446,58.932941908562476,59.651854586736185,59.752479594210655,54.46865528132236,54.9196499680784,58.63311069515064,57.12975463850537,52.33920305109735,54.982831125591694,58.61065195001559,53.33696134715449,52.00915930100413,48.91211858057478,49.713210985399115,49.16848244618268,45.96298841548944,41.595047165868145,37.95722797855711,34.67670347008856,31.083390118860176,30.2208338613086,30.381068238375722,32.530592532398025,37.163140917872084,36.80525186731284,42.158755923541676,43.48787869557781,45.34700354104921,46.12479663910055,48.82267228908902,47.65714115591496,49.059386229213715,46.92697736485753,49.01730936309003,46.84347412490586,43.88684347659955,44.37723896366626,43.83697561061536,42.293553787761134,43.00983966062032,39.69086427632661,40.496790591518085,36.71826902788607,34.7103205029097,30.871481062378496,28.861727533625153,25.592164230012223,30.029476648623493,28.792278231655132,30.38552586030049,34.1408850207558,35.52387503258752,38.153514990004155,38.40393802416423,43.21061913782316,39.72557847607634,42.950817741741055,43.14923519195281,39.511111649402736,38.12415521739349,33.81146095042607,33.53952390518427,28.8978153033186,30.17306987098516,27.80927369976562,29.125147864842067,30.696159996715725,32.853974072235474,33.96245176804289,31.16657550609332,28.30367993790208,25.85293480710342,26.54847230181659,25.580462055373573,24.559361065675276,29.35445858820675,29.930913252917765,33.408140220998014,36.66945797970009,40.517846540955645,41.945599784124695,45.85825655170124,46.80877350725665,45.95479952993667,43.30251687545585,38.83852075944997,39.29620622659067,36.42635802919357,34.75585745046316,35.3644165376031,35.50961901521762,39.20470752499295,37.460046046875334,35.6885826750942,38.802207329473326,36.08742302607788,33.87232452388143,32.328174462486864,32.74514385378896,28.896730654426257,30.71970835187076,27.298456330435908,31.190610108748206,27.58170596542369,27.682872811670357,30.621005427216836,29.844973082021014,32.80350072386362,33.12927223251015,35.868442515535385,37.25947266390139,38.034207339286034,38.22921446216055,42.13395754986535,44.33784541694988,43.15962618757319,46.48262230626714,49.01721102630439,47.385055896162925,43.455980661934866,43.144859475380564,40.12943764901652,42.55576028580145,42.413187199263504,42.006539988341,42.08055681722568,38.94538112098861,44.09823517908455,45.00037199259367,46.55869691739679,46.33559937516191,43.19977950324075,48.41928866521574,51.33014649810832,48.69520370976818,50.45712195970084,48.391884489145426,53.590824361861536,52.75532411925854,54.63180131288118,54.67217577236957,52.788406570741884,52.46074875335373,50.33739754555873,50.55553393602974,51.018940713127115,46.54776596711897,47.30305053813848,44.872529862897856,42.46809192226628,44.82392151134068,42.070726982747516,38.891861825352294,40.62267604874178,41.861592951264974,37.10962641297088,36.03027760028297,39.21849135735307,38.78747690986558,33.39409772574093,34.93202030876126,36.67042850574684,32.590462910439726,30.846181000117028,34.79953276063813,36.14345935138967,39.698804920941846,42.45552446647858,42.320081501632714,44.37285095252659,49.47288268205454,51.295887828966336,54.48467490194252,55.06139721880626,53.555620193247,55.54837610431045,52.832333637144735,57.572401900558226,57.05182202293493,51.44235442548982,54.08244059623772,58.1942844970592,54.59739408453475,52.30314457851316,55.610931416998476,56.30291549857688,52.045166643084805,50.85562175355118,47.48984569050945,48.381742824086274,50.95651634088042,49.236059227659254,49.930556126524976,51.16204396260239,47.8887979586277,45.737486737756086,46.49802208833039,45.054867118588504,41.28103919057321,41.21149471086438,41.33022927020477,38.364158898615834,37.054994788907685,41.381675300024455,39.88326159133745,35.272102685946464,38.588403819589296,42.32062895236845,42.899629972478415,45.99823739584774,45.707358243577126,49.95918179657785,48.33806035712248,43.73070470373841,47.91758828108206,49.650182677457636,46.584523340261235,46.14105147693715,52.034030751651386,50.82910622748596,46.23372586131623,49.07731929796523,53.57124367067124,51.32301153845135,47.89764253177722,43.21937854641633,47.00703764854428,42.68370577173957,42.76324254995722,37.59980025814603,37.292792583864006,32.52498883755821,32.888419222796045,35.206934605754626,38.70123468750555,38.76105671805287,40.23057914474898,36.41658616818188,39.21859980479213,35.21281853970308,33.37533642271532,34.39080682808048,34.588204975142254,32.3586116483145,30.118004928754047,30.239705644132176,28.277620586706732,25.68045168951468,25.01178951532005,25.2452317149886,23.083794280543877,23.240973352322463,24.329661119286005,26.25880641249142],[23.01141639650699,23.876941626128026,26.23056233251215,24.133494836508785,28.495307476342802,22.711179370619927,24.198781338135632,24.772729184477097,21.365365668310805,23.86265735622111,23.395591649154344,24.841394338755435,28.34914771758687,25.82493689035222,28.92558608173066,31.537762605397067,32.61139031581677,36.19084538928738,39.210814990269675,42.324324200182886,45.38618919701411,49.267686706228275,50.36070891301973,50.4808764916165,48.170171124649826,43.74400572688122,42.30544595205591,38.18203660844943,37.44174383902955,36.10952162649891,36.03416666793729,36.06475082234701,37.4803843196967,41.479518648524476,41.265643871969495,40.93343624170978,40.74903318828506,43.13266113623268,44.16613403342212,50.32434276398545,48.62185113508658,47.46697867555442,51.73310004002815,52.8386684168986,55.65709470663364,56.70760952267055,60.382362887845154,57.792597357506494,55.25486217266077,60.782492786902644,61.3738153634018,61.74401607014676,62.0128105580145,57.03489545828861,57.121059954879186,61.12095846903335,60.007282432814584,55.16167508440617,57.75099419392462,61.67641890059281,56.694292513893245,55.63756969950777,52.45606047367332,53.765644579183075,52.98435387810635,49.50737202654489,45.66178880892138,41.75456286924072,38.970800766285336,35.208312080052565,34.746852825394576,35.34256108275483,37.02578140914845,41.6806024345859,40.699514195723104,46.04152938456594,47.0202685681426,48.56770809383918,49.11251537488835,51.729177243292604,50.0046348112374,51.25989636004434,48.50831004427936,50.53111291707794,48.66811494624846,45.86964929731113,46.95260246528813,46.00039385651027,45.209108128975124,45.71380020291617,42.84548551875333,43.956728290860326,39.99267938832018,37.51200217331641,33.589372334390646,31.710421828950576,28.377484633747887,31.87210272095241,30.018062507060485,30.49070572782555,35.01420355755152,35.41851358988976,38.84001990660927,38.32592776093111,43.26371165508641,39.46923310852403,42.16590571451502,42.47179367926406,38.55998718725391,37.187322688113134,32.97454744332212,33.649864352605356,29.27347067944104,31.35437756941964,29.830104618293273,31.54340771497949,33.653161430190366,36.38639683545289,37.93300326303716,34.81703457750593,32.10011464976404,29.199050078600248,29.69578213901467,27.983456910232572,26.07174736200782,30.493408712371036,29.72712184955744,33.58948536820337,36.46298289202854,40.50137188446977,41.69348303201151,45.38236950249938,46.934211345112196,46.05084910164873,43.83141348278312,39.592192043413824,39.75607955033817,37.61536969784397,36.513662131413255,37.348063580239824,38.29361376853949,42.30384823571032,40.61459590189599,38.39997131478804,41.4559505992319,38.51612797336943,36.07149903578204,34.027948585389616,33.720108116106985,29.522748069365175,30.392301774104865,26.771791326648476,30.00915819117773,25.800787904204473,26.949389885073217,30.297996261676495,30.22336261862962,32.752249938684095,34.014933966951794,36.24556899881026,38.295527366765654,39.78532055563851,40.17454539411463,44.12180700347976,46.218412803725336,45.13438592580915,47.97157499692546,50.67295891168928,48.59135000773816,44.896297037110344,44.2931679906812,41.59340909706455,43.920206011241504,43.638547701610335,43.27816424084971,42.95575757594495,40.214270795320665,45.05616854287536,46.34064204346879,47.465891301141504,47.5259403401142,43.70580685841965,48.97670349893819,52.05249973688904,49.72803206442124,52.067315419724785,50.46396396658801,55.619317574647724,55.11303011370494,56.50210637891978,56.30753242263627,54.10173483214575,53.44904381823285,51.00234540442071,50.81464606495421,50.873288368525024,46.30826326850672,46.5219148400168,43.68744893546806,41.18440112337938,42.87263598722038,39.98688122853237,37.161959611674725,38.55293256466329,39.220641984888864,34.52935531253483,33.78829498745945,36.35252717354398,35.39027525513121,30.259169716338523,31.65089510946001,32.82915968092515,28.68417671670202,27.244840002354398,30.83002276309344,32.673916907141574,35.606005728453596,39.27079116588036,39.06210643366182,40.64342912661859,45.875179991904446,47.201845522591526,50.82119914165781,51.40552364553996,50.27964837973482,52.43238384983219,50.05926434289438,54.93515645565726,54.222545655968446,48.9789641780282,51.875018984170495,55.960752858941106,52.4461367109152,50.481272181073706,54.08234741578759,54.633010527442636,50.35748943853255,49.81714332867036,45.89990000463745,46.98662363366662,49.19630090514224,46.9378118817214,47.65997286136609,48.39402391384103,45.53796238557779,43.45859930743148,43.47103565207708,42.10803847736886,38.730338452577264,38.22580867808916,37.820973678872946,34.8267683938842,33.56882289057248,37.47299110468161,35.638981462961105,31.043997601486343,34.34810805261356,37.89619961912837,38.83627236345941,42.13211553737184,42.3282386657151,46.541788456614356,44.58677842892584,40.42681950150693,44.91952408595718,46.42090017920459,43.37918612917514,43.553814071642684,49.27812836384058,47.894090266622925,43.71643972092048,46.933622609499146,51.12234562614241,48.810545957265006,45.669903087850635,41.11285333451908,44.91968634404967,40.72107304621238,40.09460543856851,35.21900748879229,34.7704206004428,30.016508384825908,30.84675761590286,33.50433148744141,37.1649539768431,37.53061389294202,38.58540688614065,35.15952400661302,38.11104675926336,34.557682792606435,31.650577734790918,32.53338944190964,32.09135419639381,30.40122393911548,28.37687661511056,27.441149718490124,25.45327089164207,23.96062231567573,22.436441754950256,21.7629353585921,19.4234387414018,20.096674856375355,20.90587956222385,22.58211614381025],[19.98300575551018,21.156700552095117,23.91651053347439,22.20632344432588,26.9246144598377,21.418856259946267,23.507600386746716,24.39554271535612,21.50165443922579,24.42407604969994,24.459198235199832,25.84499963672779,29.177571218553453,26.927071530393224,30.40113672628538,32.80377263015391,33.64930250964382,37.511973282282426,40.54066414136242,43.52324761511772,46.7018947764188,50.46564221995099,51.62959801249319,51.57639450283717,49.12443711712304,44.75360422931879,43.121582569098784,38.96925903046818,38.429363343953135,37.0734116177174,37.629396056581044,37.2830601948476,39.0021959219285,43.13767197766894,42.613028352271776,42.20756858845089,41.690714108729026,43.987300109783476,44.77391861525229,50.838370676540144,49.12636824899539,48.35332175615818,52.66834467383726,53.50675299426385,56.25180129442008,57.047359295141746,60.83986566290358,58.411284679580376,55.60891123349566,61.045118373343946,61.87732698998897,62.14872017494676,62.625113888723256,57.73200942557628,57.86696579704931,62.02142286539321,60.95573319888222,56.190885641757184,58.93200916769362,62.8675912909911,57.938610967342605,57.17310283608644,54.09679571042937,55.48357498852331,54.425255013807515,50.91342290244681,47.26126946158942,43.37180726512719,40.663277652563856,37.02643477336227,36.57180814691881,37.46235315334486,39.14991957243422,43.69917202128099,42.614536455895816,48.11415123204134,48.74116775931814,50.37568623536204,50.64355834726159,53.052501384840774,51.08623532051188,52.048054247900296,49.11602434071506,50.89501599803919,48.99320417782135,46.476228867063575,47.877992496184696,47.023862623779266,46.530612639280335,47.3035295887021,44.6099413617446,46.04058188846531,42.05948352246874,39.47305617553395,35.37192149615198,33.78910099860303,30.24925314595854,33.41409001642303,31.234834496968833,31.445985928725307,35.929040149375574,35.74734539639308,39.30535925099452,38.25535388983348,42.97449340811959,38.898898097941824,41.280926939601436,41.38296071107063,37.2847644357007,36.202352185146715,31.902989043251566,33.03746311239823,28.88627752478662,31.115658994177508,30.157611863835402,31.76825775305211,34.24239303731516,36.98417130154383,38.93933131285624,35.93976867822989,33.16163535073702,30.09984080667069,30.143555783723503,28.152979609173425,25.914066098173873,29.951825307091404,28.65593514587805,32.69563031878136,35.380649701532576,39.62496103858218,40.39686872744482,44.0932590577948,45.84896966281852,45.21010420549444,42.947316502366306,38.835439772040004,38.57971275187364,36.799055401636,35.93295513959292,37.073931926271854,38.25714985190626,42.45624833417048,41.00319455876068,38.63979039269055,41.829257936820014,38.993859946506035,36.35696112643989,34.338031594452396,33.740101895342264,29.55105457968766,30.09338410239022,26.772860527394858,29.934772552804887,25.894810934365804,27.552122823337246,30.763538286117736,30.72783536758891,32.840929928645615,34.43367075014261,36.10399392867046,38.12900078689577,40.07416917543002,40.17756279821811,44.26231265058075,46.03772242321555,44.72919095605045,47.37864695331508,49.99534108148571,47.653969596258754,44.08234969576849,43.47885395230736,41.059106170278625,43.566308552807726,43.43390002507227,43.31543877506542,43.02982731592372,40.63101087554896,45.41869487020394,46.59616419418416,47.49571635311157,47.37657594173918,43.30950215874861,48.428395999520745,51.468608510688455,49.234694796367236,51.93319749423199,50.6068825072042,55.63878555904623,55.07012507192455,56.249549551309535,55.84697088985262,53.557107665989136,52.633971701595904,50.028854483117726,49.65823384242547,49.45581656477941,44.811945118964495,44.86503874906487,41.796324817111326,39.4770377322055,40.85261791137071,38.13737185070708,35.363136752700456,36.36148603674696,36.95942784910688,32.38507075267278,31.40824806274912,33.78161683255557,32.93656390714686,27.726834929141607,28.856593037430063,29.959106874812218,25.96352107128623,24.29612908804811,27.66759400229082,29.59921452533455,32.46095841755337,36.17793284103667,36.12911964594502,37.648271482998986,42.928781627365204,44.19526041049744,47.92613643866382,48.69499844764015,47.725481447123165,50.053999068707135,47.90419023231704,52.74484370673401,51.80171032182262,46.66634381091285,49.767269231248335,53.68363040731162,50.086033015243515,48.323017608088485,52.04578212941261,52.340915769788836,48.02896833072566,47.88068496230581,43.795998097802936,45.245213610693185,47.35169342499723,44.96246974838432,45.924965328794876,46.60295667965326,44.022497746648234,41.72830147047207,41.530457189861686,40.461873103197576,37.11600606593581,36.22495515234209,35.84686411603716,32.94757824237419,31.40131201132988,35.145007680713526,33.3831335798076,28.70237301044531,31.717070800485658,35.25269677225577,36.147921295105796,39.6046837615398,40.00807304417381,44.118758464675146,41.902041580807655,37.83337586522768,42.46865766434323,43.72609243483119,40.61363487936502,41.02202007965147,46.65267502696235,45.03656275638625,40.982378619242965,44.39711658274653,48.395554708215215,45.93686474725545,42.88171832423763,38.35628866732474,42.03426478393928,37.839582436807454,37.02641428316227,32.281748774893416,31.975449601034448,27.32142861708547,28.09450605630498,30.923787062806323,34.574795444409524,35.17974432738506,36.245993573742254,33.16201497192927,36.326764768635826,33.07482410179471,29.807871534051277,30.96885840406811,30.420036932264342,29.2180357458065,26.881782351509955,25.511965175578403,23.936827298647952,22.798053859336477,20.482270930922674,19.83446316704384,17.904976106345043,19.07285867636607,20.01010401251934,21.635643044598137],[22.629144670991078,24.42226128061481,27.935929258404993,26.35891395050764,31.68039125403772,26.78635120341105,29.25583998334603,30.52998094665693,27.77963346774585,30.58453780849392,30.752261063194315,32.31579125294022,35.46861165963167,32.97373628564484,36.5595009097465,39.071242680008794,39.68663883805705,43.4658599730091,46.16661831183325,49.37011902869067,52.36320861575169,56.205871673105364,57.13320150629004,56.891114023005635,54.62622515799364,50.23334863246369,48.81470296004056,44.7335606326802,44.46635597533878,43.335464909737,43.832720588636136,43.70177118925749,45.41490366022808,49.47482393452742,48.98186951931571,48.440864416116305,48.03726679612276,50.079139305035866,50.74955295785621,56.85442956014349,54.838713263068826,54.166296359123756,58.55075746668354,59.36619549660451,61.93644139128707,62.6484098195547,66.50000462696624,64.2547950914323,61.418891288002285,66.83720118980737,67.85829809098529,68.20704057218376,68.77345403658582,63.78758564727038,64.10647005707446,68.2516195675608,67.04641447570214,62.33780087807504,65.17094417949316,69.00065326761356,63.946432027142265,63.15742325230249,60.140801389842025,61.28275248491522,60.25951191088313,56.878374037493174,52.98649204546,49.247518346461156,46.24083070402715,42.7316088605568,42.008286736327726,42.644344624198936,44.681369671814586,49.22948103005569,48.48836983931696,54.00006049731997,54.78800117527077,56.54227813450451,56.87970322525602,59.282460701682446,57.424847520077805,58.31191554420029,55.4669128958211,57.12874501382116,55.08222348509117,52.69761370988402,54.059479246502924,53.384680123978704,52.736517658458276,53.61221279527849,50.781496914812394,52.070889760954245,48.13220727021307,45.67277204187258,41.61568387565293,39.9170436521887,36.43090890815333,39.82218250980984,37.72120883164641,37.928320738843446,42.43971293215865,42.17801842135482,45.74120331943022,44.52614417259918,49.08345457832897,44.833646566127406,47.00146510705227,46.85277446901511,42.59690476296185,41.86328920461751,37.46218120434676,38.83321414601437,34.80895192255969,36.85810446928028,36.041582512825535,37.31258374727209,39.85559481231382,42.14588700511185,44.23639261193369,41.5815016069889,38.60802103747178,35.69500488142329,35.367463428734375,33.581148739778364,31.499240219006392,35.301750522949256,33.983185042984346,38.10531810622625,40.70373065928113,45.15594947320766,45.401244757366335,49.210325602506714,51.01757985484717,50.74651131626179,48.21755480611581,44.16263152783806,43.36066885859246,41.70236154116262,40.787609639940946,42.29864666602697,43.15984560002451,47.40711354467273,46.27446887096994,44.058744404446635,47.480950774447045,44.87510600622463,42.16075892601197,40.40110698918999,39.842405056730534,35.74738007722155,36.264504034595184,33.124995968898844,36.20997116120788,32.10963060580091,33.97210175925201,37.22082095295713,37.195877519237314,39.194077732868706,40.81371150195692,42.25755978139143,44.057142372918776,46.130461308889174,45.84015858783015,50.08017586048359,51.53170329141999,49.78885651925109,52.51494173100061,54.8463079183824,52.361409164251796,48.82278516195927,48.460654518854604,46.28247395756623,49.135898409685524,49.25783438868757,49.36090855433966,49.2304630824613,46.942477585667326,51.77796263674709,52.800559396685166,53.661269093973665,53.28575315763764,49.2127792947761,54.15256620687974,57.084119838995406,54.81618218772385,57.67174585513365,56.405930703994315,61.33565371763445,60.45805047128733,61.68644695806854,61.125631023544905,58.91142651673611,57.75971102637585,55.08240877098306,54.63413744514169,54.18135271545612,49.43485339094989,49.47115566570987,46.13275864049129,44.216011968054886,45.22326879048099,42.84706186648264,40.106839044198075,40.46136857717722,41.046168237895046,36.73655467326852,35.19449162574264,37.28616836472374,36.743927018756274,31.475936247977096,31.96858588145689,32.88994883513873,29.3532035775969,27.14109100354359,29.76645666149992,31.858942756174635,34.49052210530719,38.1255619159157,38.694025926465784,40.07138629482941,45.415260419793405,46.43205684646287,50.49422616719699,51.72073091133318,51.13698594550535,53.80046252000594,52.07656909085842,56.81824007095792,55.44766588287877,50.532106697420794,53.96822783265179,57.527342001373015,53.74317186881588,52.33139157436513,56.191539065426035,55.952268235126716,51.566100498653356,52.0283004370385,47.85144000877722,49.93621833109025,51.94942571231821,49.439585976231136,50.74708310505602,51.30635793577406,49.1193281517074,46.59177254096457,46.05846040888648,45.35586446948777,42.153121348030005,40.74681936569173,40.29421779777513,37.543591331527956,35.691614841469395,39.0044890329869,37.22456065903177,32.55978073848942,35.02529317772424,38.366062659061164,39.311171704237964,43.07304675977342,43.93813851884824,47.81194727154318,45.05465794563977,41.279385831073164,46.14845367093888,46.858349297482725,43.59838573902775,44.46429114469727,49.85246013967119,47.63557440443171,43.83035753064719,47.623499310292736,51.1769809637357,48.2601419266959,45.340165082529786,40.85269459103741,43.93699326438526,39.6010622059319,38.671238181008604,34.28907560810149,34.70080550340993,30.424742627362228,30.562848511731065,33.71581892144415,37.14661075476456,38.31666928475424,39.76695043215607,37.33110095723982,40.86131054084149,37.96172290295062,34.518866249940125,36.122249301972744,35.48458895583864,34.81375347180747,32.14783794282459,30.332133202513386,29.262330910155686,28.48056353868158,25.35511664036879,24.760616954068215,23.20652266758903,24.76696990890191,25.52467691089923,26.90041979275185],[18.547249409615002,20.5278915359669,23.96851878971994,23.470301305238447,28.48146197032747,23.414943565774603,26.29470087807906,27.19538093566099,25.13717169633422,28.632522426971015,28.99894765642188,29.97596650209805,33.423493533677146,31.672605662805196,35.267023308708026,37.39742894147551,38.25397384479589,42.36344315807229,45.52980250361041,48.29099934139766,51.629516257971595,55.24276932276436,56.55156486973649,56.396160713794075,53.77514007987249,49.49091873418404,47.6038204281437,43.42925054058256,42.93699530959195,41.374331553286034,42.4441834981257,41.55203423191397,43.36558307774913,47.70937088511379,47.02124951447654,46.759563967890614,45.81013453197558,48.26908261814358,48.86130369398229,54.73122840861478,53.205888718565184,52.8131523955891,57.11300099453679,57.67130270620905,60.40417400504841,60.91842641652061,64.81185882370654,62.499179909468324,59.39648270038633,64.68926969211337,65.71430783617289,65.78134524829615,66.45238986364116,61.767306537586954,61.78232389905981,66.10536339172322,65.23019615060267,60.52110454882371,63.29061883046488,67.32686298884597,62.56368484508917,62.03275643211843,58.992317361625055,60.583308648250956,59.32472801329422,55.73450340824382,52.367078697236245,48.430585146429415,45.92019636977603,42.318871358887726,41.97126428088856,43.059367048945894,44.6333379392219,49.12478139002052,47.82498310739933,53.33474720249877,53.70881234871149,55.24059911430805,55.30949992192186,57.578183466175915,55.28346606605128,56.027007674862716,52.7558100828179,54.348920787151116,52.580850976519535,50.327575484496556,52.12587526518328,51.15619264077689,51.11750172365274,51.902058371172416,49.483660279104384,51.11948234290633,47.095519102015736,44.3162464363827,40.19136994965743,38.75950323947882,35.20919384401486,37.82619483839321,35.31268655591837,34.84814091423721,39.59805319817574,38.64127254349867,42.601128814675704,40.8876855768558,45.438703717316756,41.10404993635505,42.91242336584945,42.91111743845536,38.61644817680711,37.81269308087981,33.64283835460036,35.56184497476715,31.839211104934623,34.423412708885365,34.16983833684362,35.79527166497367,38.61546062409034,41.45940312665326,43.76505730681539,40.792011842250375,38.04943499329142,34.84265033035669,34.5458491000036,32.227354361593626,29.571245999548978,33.044988870780315,30.8315757976622,35.03941461918162,37.3088877823986,41.698547920957985,41.97452212519656,45.49559798158593,47.68329893331989,47.25088889424476,45.18679669954631,41.36146956658369,40.60997659924753,39.473584489329134,39.023681141145886,40.484475114683306,42.05788401409143,46.40106804644044,45.178147944929805,42.62934749354038,45.84632764026649,43.05029268575739,40.259454823780736,38.11823942671237,37.05978507538004,32.855569048632184,32.71736725027356,29.606172953507834,32.19764697465153,28.054394400852985,30.502490929342798,33.76125805460181,34.122921230023636,35.73300660539399,37.92057421252128,38.98421392381726,41.243442988339076,43.74101891098832,43.72421245483369,47.85851581666548,49.331858547417845,47.88416874054308,50.16993781279923,52.72664387000662,50.017646697740474,46.6980591249144,46.00985875338943,43.995301534123385,46.57078785640984,46.49671275521798,46.565563687059694,46.12841593329736,44.15521037947655,48.68072564556609,49.960763939158056,50.50798184816301,50.40135587670499,45.91827469397993,50.8620575338784,53.90539877844369,51.907701153450915,55.082692674166225,54.15399654328364,59.02765453563786,58.53369458034819,59.35752176949041,58.69642287135409,56.24337737953031,54.96920131298533,52.125471118599314,51.41889978799538,50.78828369894049,46.104234938363334,45.74878989554796,42.299508290748555,40.17310323843743,40.825206411676845,38.269879711618394,35.83906716324773,36.19532543810173,36.3462601623221,32.08452202682918,31.08183702488559,32.7502580002079,31.69657882099559,26.79603630176657,27.42025174297243,27.947514725978465,24.274483596181643,22.606287532223636,25.17781076804497,27.568919460217774,29.729984977109336,34.088878785399146,34.26442437452732,35.31987262945319,40.66769135165414,41.428884275880414,45.60829755056486,46.60925976655217,46.11825094039207,48.71995870652365,47.07397279199187,51.898936797956374,50.59116735919349,45.89666607211057,49.32261590179178,52.98333772217122,49.39160712703634,48.07275699428257,52.03469593370278,51.95596833343636,47.64933499521201,48.29028194851896,43.81325393708605,45.72082416406889,47.48186457567319,44.6806030811767,45.86513443211484,46.13752156684108,44.13315066705128,41.757115842492084,40.84999169956547,40.12006835259976,37.18092095350583,35.65788715998582,34.90864194480616,32.16532158171071,30.45119681452712,33.55598658012886,31.61640621372408,27.03366660764489,29.604396639575633,32.84827113444805,33.996441137355085,37.72405488352201,38.728504160386706,42.61488227701843,39.88679507907471,36.35646450815783,41.269127751419845,42.04931450306847,38.92172760931646,40.023520902141264,45.323515944965976,43.302905154493736,39.75038639874536,43.57857155689328,47.07996694152532,44.39973866524116,41.67495204851934,37.34937083613514,40.7262108909305,36.66053604727505,35.22488444942579,30.99447160758294,30.887223035264956,26.587316088120495,27.44411261917131,30.5827276453652,34.16073879481543,35.23349560832373,36.11193901282918,33.75228353317263,37.120585722109574,34.50064319848291,30.45818169528163,31.746267131113147,30.712775082223683,30.32238246846482,27.982817274786772,25.607499159455152,24.4814072838779,24.439652951214622,21.06338721571333,19.839260411664217,18.287765699254432,20.172932953084047,20.791809679038433,22.021967594885325],[22.519932877520368,24.100095819935373,26.85327268781053,26.236742832786046,30.573805422940556,24.730954870329935,26.921971028726023,26.987047865991,24.461365872491914,27.83041267911832,27.437407177779644,28.024699658524778,32.144064791823425,30.4277536540694,33.355817630037556,35.614865798527426,37.10248553253849,40.94218120477731,44.41695306927453,47.14849732216873,50.504924699904905,54.204332630188794,55.61961179793354,55.83726593811454,53.251091758671095,48.91285841363029,47.08013433374272,42.86926990551535,41.85150578583194,39.99880811186788,40.26352687120649,39.49876167388124,40.753356497340135,45.09070682505478,44.90714145186403,45.02884488391238,44.30569190751308,47.27799950923815,48.28324619439232,54.199955316080896,53.01753415571687,52.09915906093172,56.27244324321064,57.15649119866466,60.14256463165202,60.99548170720773,64.70838972922165,62.050213182521354,59.251747668333216,64.64083653269816,65.22372319092071,65.2718282643793,65.62324361425907,60.983449354813274,60.670283841308034,64.84809298290982,64.12335107007408,59.23857617167538,61.67303861324593,65.85580390572112,61.18594978135116,60.26909702103812,56.98436556225889,58.73703204675552,57.866461567531935,54.18053496884243,50.776624576979515,46.662311722792424,44.327549159001514,40.41876001075532,40.298976724557285,41.10479007469542,42.376951062350756,47.04170265908237,45.56509050823423,50.74090747218443,51.55438108773993,52.7268934194197,53.176457294526884,55.782172461681085,53.6257790396976,54.85475719309689,51.58020600364826,53.610069199319305,52.121013508201344,49.4100653041633,50.93053591853963,49.52546428472378,49.363684445559436,49.509602839514336,47.048922778010905,48.26722585191444,44.20096959497221,41.36788841618354,37.56671028934119,35.709427746294985,32.54854516830942,35.16934131946385,32.929936795343444,32.29542985878829,37.50636905575635,37.09862239899624,41.22972177889235,40.13275384468759,45.18201993517692,41.263030670983774,43.40442193325531,43.91262821681706,39.869186600563616,38.444642919937955,34.542765625303865,36.066582907403586,32.07319981779245,34.824941352031175,33.94809169685403,36.00424168214183,38.40094857597089,41.5819859107756,43.31849748122045,39.93496096535075,37.42215455718176,34.28397943637012,34.7650226603098,32.57134877607171,30.06258091589444,34.06398854367801,32.14483967431224,36.19130512116213,38.61215786666161,42.658660511377896,43.71379485585856,47.06179071942964,49.17556835901628,48.18467420265549,46.50113887465137,42.55388422687642,42.55086637394854,41.088803715325945,40.492236960884654,41.41643053599342,43.0047401688515,47.16239699821509,45.46630245727991,42.947063491330134,45.841171034093534,42.70489974542817,40.17712875793863,37.69760154825808,36.78950736416687,32.400851844943865,32.33669540334972,28.555577599623348,30.859893349148614,26.074028755961205,28.17135505428646,31.88220970670632,32.58254241089923,34.72044057957418,36.80205635422515,38.661206558382176,41.36106012366881,43.35496430500066,44.04612698211589,47.90130705372456,49.97924181121393,49.08677426372169,51.45783049616764,54.314923445592264,51.89514758088166,48.45928025170276,47.57572637076751,45.15431532244411,47.26536698325402,46.7862116259545,46.38098962849678,45.62723780755818,43.21808416424301,47.6360000757573,49.356714983735856,50.0955456734657,50.53691091222881,46.16325534170107,51.4435712755507,54.659995951500576,52.67153675251305,55.43777707181354,54.22027514308322,59.31042524853931,59.16859282586283,60.12727315661211,59.770221376961736,57.291640962792,56.40737407081505,53.71324991212703,53.1557297650731,52.85780189667021,48.30245186107047,47.95824060084136,44.80256014571313,42.186213770985255,43.13803851355401,40.10570869664916,37.787014882967284,38.85208818778334,38.80583715227754,34.310436686665774,34.0996579933746,35.83732178208584,34.16221994724213,29.623516989661674,30.828994514014322,31.206736178702705,27.10576856189529,26.240356177044838,29.174840324346693,31.621938605387864,33.59688456645584,38.373424260075495,38.04731054939766,38.96960784772441,44.25308190113964,44.89044448719058,49.00836143346228,49.537607910652014,48.88542085608519,51.150014687894675,49.181318712172924,54.16478385100265,53.30038868360014,48.57231375493364,51.66588807717397,55.71389841579434,52.38053709584643,50.7857018221768,54.633867252149386,55.089420895289685,50.87739076030144,50.98477635857989,46.55761162589879,47.72705336197802,49.490910028253865,46.660727278787675,47.30890971839887,47.40760814854393,45.0368226793284,43.19149143357849,42.31278627417105,40.963303862182606,38.1966200110127,37.29182360779642,36.16838136778045,33.19241104330836,32.17695067217833,35.4093726811651,33.10437048336556,28.735807216598666,32.01181368585955,35.18329535842517,36.64686623740146,40.084669979585215,40.87303045035901,44.981027071604444,42.701623091466985,39.2191115138289,43.95988348486595,45.205472102447,42.28145506302937,43.17808433603288,48.59781661643133,47.07527277178651,43.47614583728346,47.030537068284666,50.8169797975392,48.50023309446328,45.74765393152738,41.435169026514394,45.187222708613746,41.225598460801784,39.81192045968674,35.42089182350364,34.79754939764535,30.240438340921358,31.598494945851744,34.50910945125686,38.22989416948894,38.88557309869196,39.431744443476866,36.47832325572867,39.4345478083413,36.41687236149073,32.519260595893634,33.095427164526534,31.903978808329104,30.7866926823574,29.26556927938875,27.204186194655936,25.144905019697163,25.04784313688864,22.864892050799707,20.99835649303376,18.453425322756114,19.599294973133397,19.781556782537532,20.96799785021031],[25.43444427540728,27.34136543046734,30.47563530421169,29.88000501174452,34.53555884281065,28.907849402710397,31.229262052863387,31.44696720130428,28.877641367657795,32.12423708287618,31.687175445949716,32.37803420829177,36.47589067111597,34.55706145797995,37.457024560070955,39.83494100824732,41.283072268290944,45.01870511944738,48.33986386483821,51.229393615576896,54.469070580492854,58.25280877125196,59.532828074822355,59.708245337606975,57.25020594028088,52.870117383342944,51.19162658316434,47.00561762367761,46.06502307197291,44.31313534084066,44.36185205600418,43.793167174178464,44.929108829318565,49.201737156834035,49.15141970752993,49.25436163816723,48.66639233710046,51.5686188119536,52.58639642257351,58.55782713669055,57.23665282723141,56.26689402419469,60.46999248893633,61.4158145807288,64.34759384376025,65.22305571804418,68.9454798708904,66.32580531180696,63.56653624374371,68.97815867590803,69.58688631556971,69.68405432671982,70.0221680277274,65.32132132771628,65.06002414684075,69.20216745201309,68.41654654866008,63.52225825296157,65.94586088410477,70.09392665971342,65.35484507607043,64.32840966362188,61.024348974043505,62.642750232304046,61.88951156892988,58.266914466584105,54.67936616021095,50.622355869473246,48.10997506733047,44.21120206921345,43.951639624716215,44.521046739151785,45.97426507400985,50.68856702019175,49.412074887464996,54.528235360355545,55.55765842148962,56.734602298095936,57.322476250899854,60.00421362704455,57.956188445073764,59.24245268528191,56.02831800718072,58.07463318048551,56.542155599054176,53.81750479907917,55.2478969613081,53.87397668673605,53.57042804113402,53.64868353064985,51.07581375113038,52.09741618150579,48.052469486530136,45.304668646805425,41.603273220662615,39.573223862360344,36.525384454236544,39.3373877027522,37.22468493392103,36.596586823806845,41.88340329130988,41.55185048400429,45.700671899223806,44.624815211057914,49.66211042924803,45.70657543619693,47.776080992672796,48.21184740801566,44.10342430590262,42.79462568885547,38.858568496668845,40.45401863615029,36.46582919658879,39.12199982513196,38.19811235417021,40.11447051424067,42.48295970237547,45.44623107871322,47.15686793886698,43.905669269541676,41.29197663023978,38.25121448181759,38.643438178896105,36.5992699517145,34.21463626507791,38.20804093357949,36.344628016297264,40.43727981590644,42.84875311247873,46.98281883718237,47.84255686428165,51.24278500471064,53.381854393134994,52.52193784476624,50.72992872844538,46.777993808343474,46.56216821257987,45.101131467607686,44.43429214289653,45.50047392465706,46.884338504667106,51.052762999200155,49.460598626249315,47.037779949717425,50.03528725686661,46.97273233486922,44.436349185878996,42.064204199925356,41.22439264312287,36.85432106713327,36.82070959632809,33.05116806211642,35.28577114087348,30.392162265100772,32.516154628659145,36.30548989119837,37.0464609800463,39.21606522381937,41.272397975260226,43.143400941499905,45.76996552717119,47.74666011850533,48.31499156042605,52.23193388731056,54.225496309270284,53.15786141903365,55.606582443930726,58.34763552762362,55.88511746198219,52.43424634523035,51.665836579121,49.30935953229018,51.56589325429935,51.17517159832559,50.82181214678306,50.11245889603315,47.68152854411368,52.11999496405203,53.82453014657204,54.582054714890596,54.96203729961007,50.60222784770694,55.841419475623745,59.02718615325493,57.0131091677648,59.80412527358806,58.562048257809465,63.6418362171441,63.369238169436294,64.39144432902627,63.9930210504507,61.551693332337145,60.59574147114585,57.875728893185354,57.29351761462099,56.89365802962716,52.28534465955199,51.927775226014155,48.64064621818416,46.189388836417564,46.95173281852488,44.05056632205613,41.77151671647221,42.54285817061991,42.44528008580466,38.07950108346683,37.63601067547027,39.200522404327586,37.60453617353658,33.08972051706064,33.97810369314641,34.1975995250238,30.330774431781524,29.241033258068807,31.7442171103256,34.32617874288981,36.084320830616456,40.931048265296404,40.911264179616296,41.691672050573445,47.00708094316189,47.41627700373292,51.76793252519513,52.51316095414278,52.10911744601514,54.53581820002358,52.80443604794748,57.75513646659258,56.68670920132354,52.11387807021888,55.37196746208189,59.259196210455826,55.856771374697516,54.44771053663776,58.3742557767619,58.582351813674016,54.33355047942347,54.750772918792194,50.25602266049929,51.70675975773072,53.4055176920885,50.477216311632944,51.25119454214294,51.22204735738057,49.05841776405714,47.161800036192,46.04922138477076,44.83369379644204,42.20828095797865,41.066210900872285,39.81657137719255,36.91120140710498,35.815157506637455,38.758625048661365,36.37068973100755,32.07620205667952,35.087355817224925,38.0898734451188,39.661617883225944,43.25147689937259,44.32952343196046,48.31207222377514,45.744148271416975,42.4915275087398,47.363107712490425,48.324187731260615,45.343930942353786,46.52599206911032,51.8047360364447,49.97362111766592,46.54460562277866,50.31042378402349,53.852689969587146,51.3024572101518,48.642355173619755,44.355734468353575,47.80338447242028,43.77262548293482,42.25529091926352,38.07374828579739,37.807675992811916,33.43180094670753,34.48779872733512,37.576837906381186,41.20139798244556,42.143387989938134,42.87041662785448,40.21984076759224,43.35043577614725,40.47298027965256,36.48373938773872,37.23589911137214,35.968515666895705,35.07193893596772,33.45053858986065,31.16948349900525,29.30657143759007,29.379147368601288,26.857221217505774,24.986494012340245,22.594353988168653,23.88568448783402,23.92531402320036,24.928052779975733],[23.25227311808949,25.47244817409108,28.899269910929306,28.900122740709268,33.69753189741901,28.406816550244034,31.1865256320792,31.55607510076809,29.50211303314934,33.08693453716514,33.021100723731344,33.59646106750554,37.5772877048172,35.951822747686165,39.10928254488304,41.28350980451794,42.58663524167459,46.56060722342383,49.93706496384543,52.668924678262165,56.03532935383408,59.69592564836728,61.07498568074212,61.12439663030709,58.5146111844066,54.19992093713761,52.31990976479171,48.1144307467197,47.30170562461123,45.48379222042884,46.079412691660664,45.13252670885226,46.51052459186092,50.9157462963991,50.59878972119815,50.68057729705351,49.76625400207325,52.649464314261394,53.460861590456076,59.304876688510056,58.04516416477333,57.41875466821959,61.637537893144945,62.33720060872873,65.22716709126847,65.87050937234919,69.68569948950257,67.18987964217382,64.1856493881502,69.49456135312026,70.29803966329817,70.27209996730711,70.79517692813188,66.2055808237505,65.94113806462629,70.22457718285344,69.52619324532421,64.70392944791259,67.22827695608567,71.40930890473064,66.7610421643441,65.99027406037375,62.77672945217737,64.513287259075,63.50826293180791,59.844808132835304,56.47935137470679,52.41597988938522,50.017122979112564,46.2030781627687,45.98878128938847,46.82453170486051,48.237854468010234,52.87060124029187,51.45209839321381,56.694163773601694,57.39528951831367,58.61400708298378,58.94611684002302,61.44432812058651,59.15099651146095,60.18128847941273,56.769947401427814,58.60876501038599,57.092652284056776,54.618363370985456,56.35412923445699,55.01949508472844,55.0304834545819,55.30682856239584,52.92676234271876,54.24169130973823,50.175795412275804,47.31045657349771,43.4641918043164,41.69253922073255,38.4782790046705,40.95320792378761,38.55567837381313,37.64144654954098,42.903181620427524,42.01591938920124,46.3120988432718,44.742600828740834,49.57344761224981,45.403769186412454,47.12416011528413,47.416730501401666,43.190601430353155,42.12465394153682,38.22268012650543,40.26403559863859,36.5535793302204,39.36939851975906,38.9479695490479,40.81925268087944,43.47284588694358,46.48772291954387,48.530690808571535,45.33668787897795,42.711066947638756,39.532935145527546,39.603149307611105,37.31547771200359,34.65238071395711,38.266966137611895,35.87941989728068,40.06150137565485,42.22878529606021,46.47232414025095,46.970718089810454,50.28841800977245,52.654717928354664,51.982666487176424,50.24917364535591,46.47974872148437,45.920432818214636,44.86798693733628,44.45647974001793,45.74926803118503,47.39545060756917,51.697782256006356,50.28275865553482,47.71687445079374,50.77165309206395,47.781902968640544,45.10488946490304,42.715112549877794,41.590794397713736,37.25341927433719,36.86363207380164,33.36600181961913,35.40921756804806,30.686801223784755,33.27304652083901,36.93054845773557,37.762433091975964,39.53597680302915,41.92045362560437,43.2882628584888,45.94887002850499,48.32877836787968,48.710703122222576,52.69696988030098,54.42512171286153,53.21892716530476,55.43459470070579,58.115857989683974,55.418448037822,52.132255421007066,51.32336341500582,49.24350505349261,51.588509616502684,51.291299737464925,51.12765011888953,50.401222931902,48.30221550757813,52.62360698767574,54.278588570019565,54.802481959972425,55.079899706719225,50.48015548063654,55.55893553934708,58.71398557569825,56.83209313989271,59.95580677955499,58.993417256794494,63.94506993983101,63.67784758863013,64.46465914735971,63.879016500450355,61.34189190584245,60.13991683030343,57.2732797522076,56.49074898985321,55.830628049436,51.20285773899033,50.63274331921122,47.143704738544514,44.85213757397384,45.230187632300996,42.48425830069685,40.3643176547507,40.749812172303166,40.46816072016162,36.30991755374211,35.78339004189511,37.00018083563255,35.39304068437238,31.03181728295949,31.635611970387423,31.60706422715516,27.983324499787773,26.857469142384062,28.93978367148891,31.68552425759706,33.1193248078285,38.17894429587921,38.27129900494392,38.84932715387159,44.15494793250458,44.37500558662034,48.884959792570996,49.77299185243626,49.592421243800345,52.1735897089975,50.71709642967701,55.61660263655133,54.32880863578343,49.978877771893515,53.41196682068224,57.1176069148418,53.70477857248711,52.538234455396335,56.57328045620295,56.55465824067807,52.32238798224121,53.163412272938,48.49209330723374,50.236524737587985,51.76397186308886,48.66492729331057,49.62330960617919,49.449003098964596,47.622224465343564,45.59527171503304,44.173664593133815,43.23329403053865,40.7620609997937,39.241184680447915,37.91227519388414,35.14046046646822,33.8560931701164,36.47969102700916,34.10737461559983,29.866824295029655,32.54112758278593,35.404417778075704,37.019292592984876,40.73470043442023,42.08979025418761,45.91863416515784,43.0885045994916,40.084166144204914,45.06071007076215,45.754268502695986,42.769088942849415,44.27074794484786,49.35371795221192,47.316821209939576,44.14550829259532,48.09294885669694,51.3621534395619,48.716371108054915,46.234020216012844,42.08018970583289,45.369156520054226,41.446257216436486,39.63447484758216,35.741193421956105,35.559451553703454,31.415206297804296,32.50891173716359,35.702774300577,39.25835374318557,40.418261652192,41.04600221430254,38.807155817526144,42.04628602806805,39.53998649349548,35.18657357674772,36.08809379948971,34.63816604972905,34.24292423592819,32.494027720493094,29.739187862738575,28.253425147309226,28.812729068522017,25.683022824580892,23.68403421003204,21.678130112273937,23.40132428974449,23.429474615795016,24.280795258520552],[22.912485879288486,25.361211896757936,28.7771375160071,29.639189499871875,34.17996255348205,29.02669908268608,32.07045046841136,32.181084621386205,30.68079392614417,34.62903994758703,34.671627062100306,34.830696006146916,38.978171285534444,37.82919383776909,40.93009684872791,42.85340062322589,44.30861372595178,48.43804892212554,52.05648595294204,54.51890464310543,58.065563662063504,61.57416680695806,63.163863328004574,63.252572724935504,60.4526221251414,56.22545888637408,54.085240649094885,49.8568838980674,48.921323768594895,46.84056309632584,47.755825663705764,46.32752952031993,47.703737791273404,52.26634482779045,51.868081594913136,52.159680516228576,50.89830357384339,54.04899201327799,54.80064558264917,60.445470940118746,59.503708267161635,59.07199503185973,63.21715355533383,63.740665942926235,66.70647979643077,67.1985782050152,71.0276949195501,68.52226913241942,65.34709249579834,70.53012114628099,71.35351785709948,71.12820310085294,71.72795960633579,67.37833342627468,66.89767005934131,71.28631501877905,70.8210010893502,66.02085889816728,68.48105430216219,72.78664770688815,68.3501283926131,67.73711973628923,64.50899935705534,66.51434618510477,65.38602506701318,61.60960835812245,58.56740945716584,54.40868100712576,52.30473970872095,48.45727894482547,48.44618519569265,49.49597325722411,50.656281729300375,55.24222070323091,53.51523887713058,58.69905928286866,59.184970369798286,60.22906057154492,60.41835965229699,62.83376428113456,60.26325453414373,61.202698182170295,57.50533584340938,59.28495948470288,57.98327154739791,55.624291153306444,57.64425130729689,56.101446353543864,56.517639775062094,56.686451981750864,54.58628062182441,56.06407201814429,51.96776173412048,48.91950410612001,45.10461216816405,43.46742562957933,40.29658362306107,42.241962010170525,39.61719276907069,38.164442301810666,43.609390790313434,42.21106139733421,46.800585227289815,44.86356960748305,49.633110880579004,45.437368815767236,46.79393663909479,47.18024005245592,42.956064734298955,41.898843003635314,38.255527891386166,40.735195892445766,37.33049854990157,40.46140408977894,40.436477692977604,42.475486648164924,45.281695074067244,48.55884309819623,50.73013241665956,47.40131406964644,44.91545739847843,41.610562913783376,41.658550733462626,39.10217234522926,36.138997629998414,39.44417853944446,36.456157244701714,40.63971571182308,42.50005828287738,46.667936375943555,47.08742426070599,50.14644001904555,52.81244636871791,52.083089367919,50.69291522634683,47.151114721347994,46.53210052450067,45.89646074505643,45.79812938695185,47.10497867456679,49.15155816342103,53.502520989054794,52.08741106874971,49.34417202295247,52.27153613911423,49.202062340242655,46.493202649627754,43.89416383840899,42.43590132919277,38.089420475690844,37.196217784629866,33.77140408520018,35.29191531265763,30.53172647430931,33.57119789391932,37.23664847100554,38.41212723719584,39.8737816119678,42.670500257313364,43.737723792636636,46.70147709761998,49.371760234686114,49.902389121374966,53.7975130432263,55.48461524415407,54.42255045029344,56.32049578662731,59.089992659115175,56.21907477904458,53.12761521572831,52.13773203301826,50.24196685359527,52.41992294607483,52.01528444383985,51.84874468120465,50.90216975078836,49.060424179374444,53.09823995767688,54.94504779681469,55.22000342925085,55.686619903366676,50.80984021719027,55.82036489158311,59.0218488465456,57.361754327095056,60.72662856963866,60.0249525037821,64.89125778574758,64.85558413086041,65.35376664924564,64.66940003786034,61.98117658091459,60.651449408323224,57.66440156396833,56.6678170470612,55.81417561703666,51.261585747711756,50.36329597822503,46.75722147644898,44.417150323691054,44.36798362036659,41.58231821634028,39.80711159619305,40.02197878069936,39.31705311388405,35.380235756182564,35.2265766335636,35.91794522618059,33.903262482241644,30.06836066722664,30.577237591225796,30.048291062292456,26.586796689844473,25.933969361524827,27.547775306973595,30.567153313861,31.332428462317424,36.9935331137898,36.92785579922898,37.081941588697205,42.30182048535371,42.107562719207905,46.8255249816701,47.63613456511726,47.71596539332193,50.30755517660884,49.09421983601426,53.99275526206159,52.65318195482907,48.659321297889115,52.1423816641925,55.799443576029496,52.55353492428866,51.59938845325157,55.72171012684773,55.692074163981715,51.55959556043085,52.72900060019463,47.826834394060896,49.55424864407146,50.799166326690894,47.417571427042205,48.31814769573817,47.790921292423825,46.282126795771816,44.40820609508176,42.5052991620184,41.617310590373854,39.538238897761374,37.80920815790239,36.11191362513364,33.44281988624064,32.31712624252302,34.46230691576563,31.893021152997775,27.934397264963653,30.480903912113355,33.0319180766779,34.91943890263624,38.62326055696118,40.28902059145447,43.98769333863466,41.03997021839216,38.49548033835574,43.50395938982047,44.06730418754248,41.22556050027571,43.1038913874703,47.92956873044068,45.90336856428573,43.12920448695763,47.171291855173145,50.18782854879086,47.63963505590052,45.430372466102455,41.51172450851719,44.78689080183047,41.12431229488668,38.8663175872518,35.33952535761618,34.9484447369604,31.03454680107055,32.504356309970355,35.69792330989651,39.220025914272604,40.4490964157015,40.69907523353583,38.73961431758671,41.87327108758837,39.72115410818457,34.921037709757336,35.608425892451876,33.78110730903736,33.7495586022769,32.32089884173622,29.040022449814035,27.61557118898388,28.913657719515403,25.57476516710382,23.04323843850412,21.13867959700992,23.066188459412725,22.81000661397777,23.337539127879257],[20.192198374118878,22.89135577576806,26.582708505226993,27.789521435360108,32.49578218297364,27.877584721610447,31.297788078472227,31.780661091146104,30.683348003404227,34.74929074852989,35.222117170272284,35.49613533428507,39.28252191158557,38.25198752927726,41.68646155018779,43.46349180662631,44.598582157443204,48.905913084819126,52.41315517235778,54.79973764164269,58.38131969526066,61.78369158927439,63.3761985011688,63.26758503653861,60.39286139095632,56.23933846068005,53.995167170628314,49.80061882352015,49.12363011849113,47.146525777341616,48.609866510924526,46.99423878568541,48.71023102937151,53.30113732420031,52.57301804649226,52.68530974169662,51.20944282083048,54.11714596733575,54.61456940887834,60.156159002536135,59.11322836223278,59.03579386263332,63.217849202516454,63.51010334667273,66.34800942471385,66.61081702374112,70.5379544663221,68.22480283373683,64.83904628798017,69.92455562077281,70.99718860869238,70.73610394846565,71.53590844909385,67.22146368808525,66.88814220858876,71.382915146594,70.88545024553773,66.20582473049429,68.84962794449665,73.09092999849909,68.66222185955954,68.32850125247452,65.24903517695948,67.2288769909999,65.8365671053267,62.08673237064129,59.169632366620185,55.093904056135194,52.987165037580205,49.314136800513715,49.24217409991495,50.52873643528562,51.76922396990305,56.232655798272276,54.514563030789056,59.876019742176894,60.03292153612136,61.25162177488619,61.16813233683717,63.35093970344819,60.634205926679876,61.25786902881034,57.507901373434926,59.00678483154757,57.597589418632765,55.54306921493123,57.79029594062126,56.46062779616122,57.04757473405105,57.57974314348865,55.57745962080832,57.35704740586721,53.28244278863818,50.225346464506295,46.22052952437622,44.8770623327835,41.486473454906076,43.30529565440557,40.477177851565244,39.047101876799935,44.211311022187765,42.39762724680552,46.90951785493396,44.54913860364813,48.981737038267596,44.57068053851954,45.6464616203151,45.75486612879678,41.42176172357783,40.728159050432794,37.028802016515215,39.810545079676416,36.66597395761383,39.76181764472188,40.182400191672244,42.02949366804928,45.08572403876539,48.249197508512154,50.75850712866763,47.619658277362305,45.07066456687419,41.707051234926865,41.34723115931681,38.66095990587427,35.558466128913544,38.45521895648266,35.17245926096173,39.39331684919571,41.069730555744734,45.3698718970041,45.33955747057128,48.40812846740416,51.17210081616108,50.743530792247604,49.23711753301157,45.84840584242773,44.821165079570065,44.47969077043609,44.56441278204479,46.14814254935398,48.30347035771146,52.738253417454686,51.58090033138799,48.780527884238126,51.825273472955224,48.93589553312871,46.08998873668527,43.63509759356352,42.018519591721464,37.80868241541284,36.76803753701719,33.77390707480048,35.36006278936168,31.040006663804732,34.313826131457034,37.676637101183395,38.701021184546896,39.78668281771781,42.70883353203382,43.247403921429886,46.015342270841245,49.02483433415711,49.20109644757324,53.202027743212554,54.532697960993076,53.224326715565276,54.97042202944585,57.59090969065033,54.53204839659584,51.57992525548696,50.64371805242172,49.03027843020129,51.39770988275388,51.19210270096128,51.29327502683016,50.48222804400484,48.959404710880214,52.98250529315613,54.603219263022474,54.709294003444946,54.90247958023281,49.92331448358179,54.699679744993425,57.79854900965244,56.19640950524902,59.83641555354391,59.37012052472969,64.07355673703518,63.89962517050499,64.24029761184119,63.36354077497429,60.65552780377348,59.09334615128766,56.00741384807421,54.87915169583171,53.79652343925666,49.2206014939602,48.23912104517431,44.4681849249997,42.402592992394446,42.08754128636905,39.58454902861055,37.838512271386634,37.61479935280784,36.92607878347702,33.211451546488476,32.7162500802619,33.21799060524682,31.484157580350907,27.617103973461795,27.762503881440363,27.186696732416802,24.063926585367085,23.101088548090093,24.33458758397738,27.375877903269807,28.051978984178337,33.60933420168248,33.76963236494521,33.89898535960269,39.114862780266556,38.94089032365771,43.697452473452614,44.76169319495611,44.97053308664468,47.74697982567423,46.76197258477218,51.54803471016666,49.953355122757124,46.05326745040666,49.72020952099531,53.13833405017313,49.790873585604956,49.03702271950996,53.218708250308346,52.89821104330701,48.75983586133052,50.28623898418261,45.330490673903746,47.453135517222904,48.63016182783134,45.23065548065147,46.430010909159925,45.958120707542754,44.723006298073564,42.56741006642732,40.5833178643255,40.08666069207712,37.975366663677015,35.85721479893676,34.34518487112724,31.862661264176097,30.346439722049407,32.31258230586877,29.97103841591959,25.961333962108544,28.017248876919407,30.54713884362824,32.26754141312991,36.122112527757814,37.95264492594956,41.480557758475605,38.265942867207336,35.78675949079928,40.871578767697,41.144685013439805,38.23074993707872,40.29329777449792,44.97441737853767,42.69381712400557,40.047990687884884,44.23444355771002,47.0293459629197,44.326831495535934,42.21001702488766,38.37600698848849,41.440084862745586,37.83463936042821,35.43815528021392,32.1357378854371,31.946998346113933,28.297657641425612,29.616600202860198,32.87877110524,36.27850433275714,37.73180817241464,38.035549510377386,36.4897360177086,39.78140396621563,37.96497381466151,33.02402558853945,34.03881958591896,32.2421549317184,32.71304472875676,30.907768959816362,27.376400562179377,26.52410526395283,27.99951566495346,24.033935991683222,21.77645261958195,20.505424193770153,22.836613937776608,22.818279820410662,23.318704908264802],[23.678078418915447,26.510718620868758,30.28585701978649,31.67566940934394,36.38444010962999,31.8518155576008,35.285703301937126,35.669684791025524,34.58789114708786,38.658878658751966,39.0172251150125,39.195602119933675,43.1287810930705,42.09461559870301,45.41605321865106,47.22674622093196,48.473770515206816,52.73623710653499,56.269623892805505,58.68004444641485,62.25094998992906,65.6799180010237,67.26432426884313,67.18654049724306,64.33763953647264,60.16943750265657,57.948772765703694,53.750598933718564,53.01401359648071,50.98047134549911,52.288534380542735,50.67200091731506,52.23448075271578,56.84371587039182,56.24599355589085,56.46226453961076,54.998422948859485,58.01755790694647,58.562333175253954,64.09065491520626,63.098218899482966,62.97840869840839,67.14842088319041,67.45494532396243,70.31234915171196,70.57310647770532,74.48520899935912,72.16220185036465,68.78136857964118,73.84188446232805,74.8960734824325,74.59190994236867,75.38031440215737,71.11831776887362,70.70025371482332,75.19177306134198,74.75280684806562,70.04472836181178,72.62038833256223,76.90634189299867,72.50895555828183,72.11040590694257,68.97399357633017,70.97878868890372,69.66951054223449,65.90570813114728,62.958511197097444,58.85597624087956,56.74146384162404,53.00908614276502,52.94066091875493,54.111430718208446,55.3542050234646,59.873324556190035,58.15823259462282,63.43332719298376,63.721978256346034,64.84339014523965,64.8559621018403,67.11150717290407,64.39201791710023,65.08996355162054,61.28599914202366,62.835289392191655,61.505331451196405,59.41276389434449,61.653907224628796,60.21931172090123,60.822813208276095,61.1920010375299,59.19180179893147,60.8441077380638,56.7542831428902,53.678902210823026,49.77929551333809,48.30403077062927,45.0308065372674,46.83006809678957,44.04879933743044,42.44447875641635,47.78864619824908,45.96083495487425,50.5979229003035,48.22913878531346,52.69726697300268,48.323081672661644,49.28949594106694,49.45191752457697,45.13086315174524,44.42880990820726,40.83854098243019,43.716098823063575,40.61734726754069,43.75758535681744,44.15911832804629,46.02808338970761,49.05588381377627,52.207961088071215,54.666946878435844,51.50993033031334,48.95895609315589,45.61843719318749,45.3042889528916,42.653703929165914,39.57207873732952,42.46795586563033,39.11662181615167,43.33139914068502,44.93145794841163,49.21148270574445,49.12668592260124,52.11186166591943,54.96939901980622,54.543303199040444,53.12306546635568,49.79097446926357,48.7035049011228,48.448234246657876,48.54990815707674,50.1488556685305,52.286098188771646,56.73110428839364,55.57631380531718,52.78567318505347,55.822827851823895,52.906293519856405,50.078558605115056,47.582406249007484,45.938640706371565,41.70650188846975,40.56818730417801,37.4953059466206,38.85691156383945,34.359509774852434,37.70554100139872,41.19693987145783,42.39332659373779,43.49521992358883,46.500675867670886,47.080624527680335,49.94892576856736,52.96053488354605,53.19850224171407,57.176443107272256,58.52249331269044,57.2086883712991,58.91902763094753,61.52116806791264,58.41788581956348,55.50912304254016,54.57401863319071,53.01009717681004,55.36135781472506,55.127320223196335,55.19688537740735,54.30519026822842,52.78401540194843,56.722152737791546,58.45347224759705,58.51820849678847,58.8022007649472,53.76625977993899,58.531465755874336,61.6423893504524,60.09713463975101,63.77527592921433,63.33584627342198,68.03145838247143,67.89395111014466,68.2053895807055,67.30781787228884,64.5794714191757,62.96377789667802,59.84544371083271,58.65363674032235,57.483158949613305,52.93210022801495,51.83745132182968,47.993239142221,45.98392603467087,45.433523966294416,42.97442134974452,41.39622937949896,41.00526716238392,40.123569980661905,36.59396480689029,36.15862413698879,36.367376325694146,34.50728237884896,30.95119774390989,30.90805759018355,30.040631001353507,27.18506781119658,26.340060473110157,27.082819949826877,30.239150135149803,30.465264055114805,36.22368335719285,36.514473449458855,36.352175201524055,41.46656178067511,40.89796422267194,45.889606460156315,47.03100640115604,47.51895435300219,50.36357283432035,49.62763404312097,54.36462840236649,52.653428245702976,49.04306463629038,52.78125925869879,56.074649165231214,52.79479636847034,52.23483180253293,56.46783488131876,56.015010302856645,51.92644803709657,53.728936991834196,48.683339951942955,50.90077123052288,51.925435661200346,48.37514237901646,49.56917167140928,48.85894592845641,47.85131308674144,45.800092497521824,43.49994698067433,43.045230945261466,41.2144884320009,38.96551836248047,37.20574282007456,34.81551005162414,33.41927035774344,34.98441375726354,32.5067625891867,28.78170658264522,30.62981667800733,32.83294409233315,34.746955909881336,38.611125198795726,40.72944956245657,44.09091171363158,40.69816058265939,38.62046615096139,43.72478125752547,43.77575994528586,40.935354085526804,43.307051717069534,47.74423311874978,45.299835770598065,42.966337330721714,47.27301880142581,49.78890617375193,47.003565137877374,45.084794813752346,41.40444379317309,44.22966554726797,40.71932501410535,38.11468287913365,35.14639664408481,35.10505512969027,31.695675823511692,32.945266703322766,36.26306050666454,39.550839643002185,41.17068187948363,41.442223405839954,40.135915971580474,43.44108891048047,41.778143942304034,36.704409885248886,37.679926415223,35.718324410571526,36.318235872025696,34.6778783641301,30.953051875853998,30.115217276164707,31.83818756830072,27.85254250868042,25.417745062435994,24.127906867688157,26.3905085161296,26.167926728047885,26.455291695989537],[25.08582557589926,27.69403153466503,31.443790927233223,31.98055796958803,36.90460469821081,32.003999377790976,35.10573539028391,35.55625154686735,33.85014563323453,37.59476560596025,37.68401092242799,38.15260853583432,42.120069218963266,40.63373095076997,43.865442615876596,45.95423809319112,47.21415451069939,51.27355812558029,54.64785623489577,57.33099614533849,60.73283955000573,64.34542244593841,65.74272802822374,65.71347168261526,63.06328991156153,58.781178747246074,56.830209628445,52.6298908916705,51.888777845354475,50.029254163740255,50.82441601383434,49.69372347284029,51.10331710577504,55.57496894455921,55.19947184565772,55.32117782481156,54.24343644895376,57.14784522902896,57.85545910118621,63.610625344605914,62.38272941279572,61.943201210213644,66.16697605977764,66.72882696824708,69.57686871661603,70.06802751176424,73.93113123483307,71.53318492651596,68.3879813070561,73.60719628813995,74.5385206736982,74.42406687484248,75.05750771651927,70.5697829597369,70.27073493263592,74.62933030977523,74.00267941014754,69.2171731610227,71.76634075993121,75.97709150466656,71.38788723180143,70.72257560314051,67.52980150535731,69.31194544315362,68.23027702938029,64.55235796136353,61.263781134265635,57.20398849768385,54.83012102118633,51.04851474755064,50.82775236033529,51.70120039992007,53.13368218877566,57.7503342155271,56.30147365858165,61.54608687738707,62.175474523608386,63.364961520704625,63.62785284478243,66.0637566087758,63.64393290414951,64.56275770603423,61.017112706853325,62.74546599357587,61.27604699608514,58.94768259652803,60.85136265911739,59.49565013161406,59.679081660890645,59.971482770876726,57.68624672440125,59.0560555568954,54.980228957709635,52.06117922279643,48.2211967018464,46.493000123483654,43.28378336761143,45.58163670311358,43.07459652303433,41.888403194005704,47.23481753522413,46.00515058011723,50.456362366178155,48.57090974465248,53.25906018098747,48.97821219357331,50.37299839549839,50.576526635878956,46.27391442206369,45.40785925297031,41.59748831453391,44.00172583190547,40.52147345238648,43.42694139101157,43.313535101764174,45.12130317793762,47.9239035167809,50.895349399801404,53.10726149523713,49.98863703837082,47.336208548073834,44.126711728374495,43.99176588895079,41.618980137417864,38.83678954347047,42.17069768488262,39.42618400299468,43.65370445793615,45.60100439660009,49.91506977090884,50.080098336897436,53.29842958943454,55.87069631370611,55.36854324640465,53.6951948613767,50.090543094894265,49.20791038993287,48.47553988185404,48.23210650569331,49.71984940690322,51.46156655873856,55.839859507036955,54.58578321913125,51.969748018980454,55.07918200893999,52.15043008425182,49.39863489967417,47.013559946700575,45.71119257589346,41.40906436940475,40.74211166338382,37.403022620319554,39.165598142486864,34.46454229068279,37.370085418696966,41.01282604786372,42.00568192680498,43.534078818343076,46.15901224974031,47.22050102904152,49.92921057876242,52.56248516963908,52.8197376617957,56.84415138437658,58.37585259676821,57.0277344002784,59.08477191436229,61.674364876391,58.78814969124514,55.6414166572557,54.84311263610262,53.00221111342634,55.431789704898485,55.20775474031056,55.16721896430804,54.40055564484812,52.51911683230496,56.71286048626434,58.38753507690797,58.73575240696071,58.97858570127166,54.20432523887057,59.14387381320318,62.267220266969154,60.501931636217954,63.867823662151004,63.103300724364246,67.9530801901821,67.6671382647682,68.29585392160469,67.55994035409286,64.9667881901423,63.55153794145758,60.56892320560497,59.611121469234426,58.69651081228108,54.06972127266333,53.28938908240291,49.590862229453954,47.50066276551535,47.42239314098208,44.86238305879204,42.96516880344657,42.895664749046794,42.365833309899166,38.518507148610205,37.89514059073418,38.64169542278193,36.99750901251115,32.951135229716066,33.14065001612456,32.72374225607497,29.52865368545837,28.381046339100934,29.719804229511798,32.66919026373187,33.539240084144375,38.85931599205822,39.207141296314575,39.43224910045378,44.66339625738454,44.4615776111067,49.27418998422542,50.3789900544713,50.59194864152043,53.36432942405816,52.317835991362465,57.12846039826929,55.56077428838394,51.58478125388678,55.223632606015556,58.67260985953649,55.273163901591346,54.44531226584662,58.6000943988822,58.26810979208831,54.07337612004385,55.4594179412677,50.6091878313923,52.69501108926004,53.99530737142118,50.67536691780512,51.79775372257007,51.35789215720426,49.95469719649387,47.884074529244224,46.010416004558785,45.33191645017314,43.17193074192694,41.24955250653794,39.703368675496634,37.115788683112896,35.742317941012516,37.81808783459997,35.378521345559264,31.376706985130763,33.58902298350292,36.10625749756695,37.875894899979805,41.72007923371993,43.51455647630702,47.08773377760481,43.889073146328386,41.36343183821851,46.4490894066138,46.73497974673873,43.77756051535783,45.76139949959077,50.511278116818964,48.14129869983828,45.3920251096959,49.589235122464494,52.4253904891746,49.59394485634291,47.38592788869403,43.43613430024799,46.36719125221177,42.568707861464404,40.40380916151803,36.99121121611028,37.067488519284005,33.31050662494561,34.29249340569613,37.62572174303477,41.01828303741135,42.513396364116915,43.1052586926533,41.38384431061414,44.74517121054507,42.632301575477065,37.95100779702506,38.984380876582875,37.30603358082183,37.39548397325854,35.629103319397544,32.39966780865713,31.2575961808032,32.32250002397246,28.707005406180773,26.554311207491548,24.881159628616015,26.854059481960107,26.72871040498201,27.29458454220584],[20.82021425457466,23.404130401775305,27.339653236851827,27.55530163931983,32.76466870715642,28.231864803489472,31.500067230906726,32.47407344526712,30.825632573690385,34.48043028296393,34.97055508639531,35.80425527398286,39.27683280070476,37.661137113188666,41.289126009270184,43.34864389624244,44.176715722539576,48.34555788615223,51.48194245451586,54.21388640117795,57.563953001415506,61.13876629816834,62.43776528873079,62.18895026566279,59.550319181194254,55.301493687642456,53.37494686750335,49.22045384037232,48.81209858531192,47.2125678306568,48.43770967564263,47.37360270796107,49.180220990880095,53.59050208237518,52.878934236690924,52.67358373987766,51.56826957009726,54.05282592774443,54.531229989700044,60.300946286372024,58.79005114996651,58.59819523989776,62.89936905598609,63.330450570086555,66.01287269779914,66.37422332308417,70.3269395230527,68.11282743850596,64.86225692691991,70.06967549920896,71.22594018244313,71.20505836090493,71.98676136066086,67.37905713233808,67.3744345120511,71.77578649461117,70.96705075402996,66.29951150485755,69.08833589262353,73.14712761415939,68.4438234858211,67.99489745814468,64.98225570068938,66.5967440180433,65.28179562319434,61.69337275125252,58.37795486753988,54.45771590382585,51.94157424326006,48.37430282654834,47.99637306403096,49.056818722094455,50.684077980066604,55.17595256208235,53.88082957369527,59.37149614638356,59.72094895644256,61.21231272460798,61.2383412419425,63.460637842696855,61.04767640085938,61.68538949651206,58.26982484607522,59.74614414241503,58.024198385242244,55.93487302393212,57.90156091437084,56.905204310851396,57.03152542225694,57.80277711728183,55.47020719878622,57.11522471560432,53.08154442685254,50.251559594942655,46.161977613483266,44.716158629781035,41.217285384373405,43.664187971780535,41.05714481982552,40.2570779155726,45.15815812110362,43.82820468165423,47.98650428238439,45.92441258685938,50.3233376550458,45.85044765109551,47.25548627958831,47.1345838585451,42.74102628722423,42.193707734648356,38.14363946576889,40.51301394674583,37.07919089932317,39.75560753964753,39.845696514930516,41.376205690556496,44.34325083523133,47.083885739723904,49.56938587922685,46.703587443236344,43.92380819352602,40.711700859918395,40.18600166583741,37.81427505883341,35.055667830965824,38.18458978655194,35.550882804298205,39.80310586526593,41.795656413827324,46.27041994994297,46.1114380972523,49.51908230265295,51.95691037654743,51.75147521725466,49.74376115564676,46.1272920239185,44.94590017422965,44.20628999783367,43.944677664367205,45.66259844868828,47.3045409085114,51.72159715344869,50.70220140011554,48.12458783126713,51.41108857460438,48.70518040189197,45.837517991175474,43.71606664318019,42.46261130206349,38.305282511176806,37.83059979685327,34.87874508370444,37.09287605690712,32.89025654055278,35.73162608434428,39.031104508982615,39.61832709279835,40.96509109203086,43.43857934509888,44.162613598269054,46.476329168187696,49.25850293926417,49.08350647095997,53.26117246383606,54.48322510467258,52.841051050928584,54.94792970714072,57.36434050478932,54.42930369200501,51.28190927096819,50.630517420843894,48.91910104957649,51.6143577662464,51.641372430744056,51.859530523207944,51.37478557983977,49.645757371777954,54.01711473767561,55.32681962781978,55.67875467194147,55.52486658138479,50.84351537163143,55.61031613090729,58.607127407069946,56.74592764142948,60.20494477954466,59.50202243142152,64.24720965610541,63.69761307918868,64.35347020201056,63.5101519989387,60.98917083338681,59.46442672995115,56.48396746509537,55.561626782797184,54.602303100284125,49.907450146150815,49.30036736207674,45.57439609431458,43.72699554204988,43.78857145798989,41.48153216643802,39.33071242896251,39.07105238126814,38.907953921788774,35.04344728569935,33.87594577012431,34.92617887189761,33.84204795868075,29.321847953707973,29.356954965201222,29.366719292893574,26.252012460817756,24.498168230142767,26.04735356157763,28.747857159384136,30.191742843759286,34.89817588973345,35.4675714540052,36.08221687437631,41.38311181804997,41.64798631866437,46.22209974892627,47.54388392559742,47.56098734280758,50.43544297966881,49.31431760627598,54.03947353892963,52.35215533206526,48.10914650692948,51.82711894822869,55.156799696587086,51.54634449027333,50.66762193370744,54.78372209708478,54.27890032968349,50.00699331449978,51.363756424660934,46.661670403670584,49.04214853986088,50.52152786915981,47.439931814227606,48.850354550450696,48.78360268464732,47.31834332255041,44.87296447368843,43.38101425558219,42.9837951754522,40.4335028281467,38.38045736681777,37.34070788413175,34.81401732917289,32.971839361384895,35.37539466869467,33.3261048952113,29.005665689513613,30.982108383409944,33.81470698630918,35.16829949358774,39.111644737100825,40.69838619802716,44.27297268237728,41.032372585416624,38.09207306989702,43.18383858551038,43.416684524618034,40.29093196170291,42.03451213288898,46.9187155221432,44.42481290012833,41.39713156479548,45.58005967627392,48.512384962436506,45.54671464151511,43.159280482988024,39.07569897102326,41.947960885863175,38.00465711571052,36.10952371445951,32.50293289326921,32.810266827502,29.041015072060667,29.684370810849586,33.03618896162243,36.38717559641194,37.94755501671884,38.82724000281273,37.18109088439902,40.722603171191025,38.62449377937705,34.167111543993805,35.62190692013867,34.279526536476354,34.52785791410065,32.176065131802154,29.15779005484217,28.46070264308545,29.120351392626887,25.114802655922528,23.606641620449214,22.405800289834556,24.628838773471145,24.956151349592243,25.806289141226248],[23.008523882174014,25.930080049518576,30.171137620967645,30.823984809258942,36.146583106606684,32.181220362410365,35.73368946813426,36.88742189450711,35.55650362177714,39.284778750027314,39.96835514750613,40.78564107397086,44.14111425124072,42.60103744764307,46.350266224048816,48.34103360325575,49.03627281038908,53.27714240638388,56.32989304600487,59.04232089694554,62.38681594389664,65.91042140552787,67.18155169660741,66.80077622998198,64.15287488415011,59.94943227861124,57.99011206174961,53.87111338917691,53.61584019563311,52.05321959384576,53.51193254800858,52.327617854669306,54.22153419375507,58.66856350103283,57.85241237799218,57.60968625324195,56.372564846429505,58.76583453088478,59.09557621690219,64.77292388351901,63.20581782652555,63.245272994316764,67.56365248566509,67.82914580550187,70.40894733671712,70.58105001755408,74.58565607869812,72.53882599595539,69.1408946515147,74.23151323361259,75.58369123908228,75.50430640609359,76.43612030034348,71.91385472180217,71.94765913328465,76.42126423102927,75.6331709655201,71.03302920413098,73.90173411218407,77.94589812331895,73.26676312402333,72.96291441434882,70.00442330597221,71.60088263855587,70.17693915668855,66.60737433919779,63.33602693800795,59.46640702194018,56.92318176765736,53.43744586943196,53.00430602132742,54.105886918441634,55.81070346480469,60.261328501924666,59.00120814994687,64.5343564876642,64.78609440714833,66.31883552232237,66.24727391517206,68.37004839268353,65.86044739452137,66.33092708896652,62.83961685717793,64.14902901241406,62.41193819787159,60.52029493594976,62.64100507510109,61.715665468432505,61.96646603264475,62.84811715264104,60.57616469848342,62.301811630144016,58.270337387387094,55.42270385611553,51.306089565949854,49.931485683366894,46.39748140352142,48.743455748445875,46.04386257055922,45.08135032123667,49.97451175170165,48.33640566382645,52.56132803169119,50.179343260125535,54.349942809486954,49.75217416842168,50.83265669789489,50.54051431838529,46.078572284201734,45.818009161389675,41.832954465116316,44.51897024966835,41.33812895917836,44.00822303336002,44.41345832445158,45.79660226505972,48.91320399130227,51.51838887482038,54.200496237137216,51.4951536880127,48.66326770149028,45.45133184754738,44.648677096669594,42.24287059488399,39.42824807976601,42.22153016073266,39.31784220947947,43.57811909940734,45.34947903634272,49.91088718989013,49.312922504260634,52.650943870419994,55.24241007067999,55.30475192756826,53.26627456329189,49.83238257730368,48.23643965006611,47.81562426017637,47.699045715207156,49.65970954657816,51.324733647016814,55.81854818099143,55.023879569063865,52.43080682945823,55.809566921270786,53.231580081598125,50.28236447207237,48.25091112809859,46.86431286108882,42.79845882817008,42.1234730526842,39.410423127014944,41.443185318345975,37.35635554857141,40.442149432302465,43.670102791711635,44.323528333259944,45.41558516711252,48.05729606410016,48.43029254796695,50.675057758782465,53.70829729252503,53.299840662344906,57.53735282981973,58.47957704990689,56.60441422862023,58.5689622660403,60.816382782145475,57.6912147525805,54.7030940105464,54.12478415230403,52.70216653944157,55.55022150434798,55.721321310247774,56.1241656221454,55.67665933817548,54.1878169234441,58.46975125976326,59.70673900942564,59.89216493283832,59.60095600813031,54.80133295716095,59.3601765921534,62.27406446450907,60.506440713311925,64.21293189173578,63.712742780261834,68.3139307086924,67.6667752339983,68.18289585088768,67.16114029074241,64.62790350480897,62.847793691131635,59.76201371442186,58.679590839187476,57.44390350901331,52.76186733327981,51.98997313301832,48.055418995651806,46.52696795936495,46.1344024735947,44.13299683979131,42.16756658407654,41.35381510998001,41.036301775724816,37.56348754228104,36.12933309134991,36.731916386548214,35.807421640954104,31.574252167141427,31.08135646950532,30.783508758167955,28.26950541543847,26.339429995721044,27.007004904494014,29.790693682483244,30.73576898627359,35.42759434711522,36.407031529592025,36.727091493410825,41.89442188303939,41.793515000178786,46.62281218251544,48.27861211614316,48.69817477748873,51.80929340550742,51.14609179089527,55.70535712762385,53.664317942914565,49.80042220796274,53.75140111278219,56.718052325189774,53.07658263393037,52.58051924726454,56.791923516255686,55.86133658753091,51.636913376982505,53.60055404413874,48.78742103448884,51.627930363651174,52.90412912028387,49.673269642337964,51.34013119627583,51.093176866055984,50.07510955200753,47.50183743799273,45.6399291582839,45.60607501299817,43.30858942172019,40.813832507544156,39.68891829108183,37.408775508482805,35.37594345272009,37.22943006355211,35.24512915480031,31.180177254961894,32.53064816436113,35.00755400552973,36.388638020713984,40.46040984632786,42.47122605622372,45.71432576223338,42.05792808153379,39.581896491537556,44.743435599198136,44.47146359581886,41.35143629715447,43.563158812269926,48.051819183774,45.12441942595982,42.53350197766856,46.96857057143104,49.391111961755364,46.16171720520337,44.061172315345445,40.2146910864568,42.569044772710484,38.75711577549955,36.571218529486266,33.55097830663104,34.278204172361114,31.03129366090627,31.379640358515587,34.85517014749234,37.93834397480339,39.901863849665475,40.848829309263344,39.82171038956857,43.52460070917511,41.8626218626664,37.181503110034036,38.888518743754,37.41823063532509,38.179348009260046,35.70025449221028,32.30615879658644,32.069839239031126,33.10666572932172,28.623798131220884,27.161348803287044,26.39915673833502,28.798736198269033,29.06103595577648,29.661675353988937],[27.012519971753488,29.752023294460887,33.89368864202651,33.968609749233366,39.38060734156554,35.0157541498505,38.23720395617421,39.27621976351409,37.41549530998441,40.876610055425516,41.19769340659772,42.14725043221213,45.683863232981984,43.7829190706452,47.31802665276441,49.56312250757788,50.40177067960997,54.41254313409104,57.37564818481046,60.32568725524288,63.51989369437853,67.22415017491902,68.34116046008398,68.06206237274749,65.6054044209751,61.29370100290962,59.583095892299156,55.457716553921955,55.10304021914508,53.6179417899856,54.476629640720624,53.70228715070425,55.31974683376794,59.65723718153243,59.15581267006681,58.94018582546978,58.052037074781474,60.476078538941806,61.01902242166602,66.88282537319667,65.19480540040873,64.87669674800753,69.21403942255861,69.74983852993196,72.36210401627064,72.7756527737822,76.71083144019222,74.54801801676778,71.39071873797072,76.62104108260957,77.79835891817875,77.85696367977124,78.60770144467489,73.92463252956878,73.97109070588107,78.30691650389636,77.4132419549107,72.71717282129318,75.47208246356205,79.49112173597659,74.68482728233742,74.06282009663471,70.99998617477362,72.43907053298499,71.30602275860451,67.7961997882089,64.21894519608662,60.355714424200066,57.61036859400877,54.02483753853717,53.48577141737783,54.230155519495526,56.06803454555052,60.640197757885446,59.596789224258174,65.00375399015678,65.66974356303211,67.16050254402998,67.39745577759983,69.75098426231247,67.50458208732556,68.26028480635564,64.94705869823878,66.49031937570072,64.71960197687848,62.553751944016355,64.35936961435945,63.38423875679402,63.28541285151753,63.934369703038335,61.42700833821312,62.79406894367137,58.77236586828665,56.04550146991053,52.08150711997162,50.38186443241712,47.02049174260218,49.75362175167038,47.33215319300671,46.57834870639174,51.62575941267036,50.51121839925771,54.687227126731116,52.759670023437664,57.20278143163493,52.74872100362705,54.149576264349705,53.99637261444311,49.58244391477743,49.094922406054714,45.02524378610787,47.347303061732106,43.84800604812197,46.38623882484419,46.28734242691218,47.68623285198448,50.54711360121064,53.03061041018007,55.406283867155416,52.68013070869295,49.79144702183739,46.71667711418238,46.179585755237774,44.04069065516517,41.49644894037562,44.718760198675916,42.29371106509543,46.54968849118621,48.57849591477142,53.10869195891019,52.80358350184172,56.262058658419754,58.672103012125056,58.58598475798066,56.44872345835103,52.80351267664119,51.45607402126766,50.63940594597472,50.2297997899718,52.04218585625028,53.371210511323746,57.77655761769777,56.84471847511345,54.40961777464329,57.802264107122795,55.15690024665498,52.313520609104465,50.30556476372426,49.194296209050364,45.03129996541835,44.67410281105938,41.61841061919597,43.793358919818665,39.36829076798729,42.13160388465365,45.59937707769606,46.235065679400776,47.73380357134868,50.11586203428469,50.99494941684334,53.23488599324754,55.90007590516506,55.636405314852986,59.864481977687426,61.048419421832676,59.220569146730284,61.465383558768465,63.737972342972334,60.80851005934753,57.6271690036057,57.13112292914566,55.44687117866362,58.28537351194539,58.3918633630061,58.623591888814275,58.18592281414583,56.35117148383351,60.777458061382625,62.09183887445981,62.50784736209507,62.31275914691957,57.69877486416871,62.44737855338267,65.40845166538689,63.494282901072864,66.91324363280562,66.12317449361548,70.87811316295516,70.17431792048885,70.95125136342648,70.09117245781516,67.64968073463129,66.07188706035089,63.09694847829033,62.18834475992762,61.15992292500129,56.44068521124068,55.859236074449036,52.04309296712309,50.38540377371171,50.288475239173565,48.13240429751324,46.02586315432443,45.50537586142629,45.31196665957167,41.62741991779326,40.24086962060362,41.121475770257554,40.14658096852852,35.756311556346525,35.479722469457265,35.333329307563815,32.56346074998148,30.655654649329314,31.657210338317444,34.374661952101604,35.527972512457694,40.11147131764462,41.07392576228457,41.50852813226597,46.71077410398495,46.654082570857945,51.46610580703759,53.04018463754678,53.36520202383215,56.39558656083773,55.561165971763124,60.196267917741814,58.2849742615759,54.278075989512246,58.135519394955786,61.23645191932476,57.5816737562476,56.92477793948015,61.091142003138025,60.28514264026507,56.01235748995462,57.69399774271667,52.988008463847656,55.647111678167015,57.0596986238295,53.90889859174637,55.421448727080275,55.21773085382677,53.95444392884769,51.50574716250682,49.791274944461684,49.497567189692774,47.121985173503504,44.903226196147564,43.723012133420006,41.2828759235758,39.45233026962469,41.515792521345986,39.390097801042884,35.273367306953816,36.963125073185296,39.50978235141797,40.97081797611491,44.991338315233506,46.87577210178181,50.25448843603315,46.733566157523235,44.12731380871866,49.271791139927245,49.16355936355533,46.02745784754865,48.06367794171402,52.70452980188006,49.85356398843053,47.08469197732401,51.44667218213356,54.032801035113245,50.79820950190004,48.56551155626686,44.588883611958245,46.9816490508553,43.0177605003712,41.08654142560383,37.849108091698355,38.61773663516451,35.14958518516692,35.37390315834775,38.83724121464988,41.98031287530418,43.84072626043772,44.95985206320658,43.62279901939732,47.305693069896364,45.30510065801976,40.866803289532456,42.46251096454496,41.077549216711475,41.4066337754613,39.04707231450891,35.95170421273884,35.324398705484995,36.01465385596346,31.958612824170277,30.473834781385914,29.245730101748492,31.361447334068078,31.526111897181156,32.229515133951104],[27.516512768317874,30.12686833172928,34.33721690784625,33.8860419530327,39.527761444783444,35.35998467424808,38.50228733346742,39.87344277874626,37.78707139964386,40.972420417623056,41.378461865215506,42.67093383895956,45.9159675053294,43.70142753550311,47.38397892669939,49.751770108477494,50.333138109647706,54.25890992859732,56.94171802534708,60.078205969958866,63.11181437135096,66.8836577675926,67.80922725861836,67.40121538728275,65.09780095570258,60.763840514545855,59.246838876122574,55.18287088870434,55.04947427744432,53.827630871618794,54.641375808464666,54.1734179974658,55.90203342632208,60.11236150741183,59.55702042922896,59.10942496819689,58.4160590165855,60.51353343229994,60.995981484686155,66.95465851790037,64.9581221803361,64.63464676146651,69.0342951235607,69.61330733652083,72.08430882111078,72.51293561953399,76.46756248946863,74.41915147956287,71.32225236044769,76.58831870764928,77.86977615207329,78.07480766751083,78.85073115410655,74.01873540617116,74.29714460950198,78.57359660760835,77.47592717546902,72.82951038234052,75.70671987208401,79.58021213308706,74.61097214845756,73.96893879654152,70.99174419024438,72.18367440659966,71.05118317538764,67.6696430124748,63.878568556997465,60.15549368353506,57.16796676082386,53.71161720001829,52.96441849114649,53.602359733592785,55.69614706905757,60.227421901793974,59.46652973791908,64.9648801706725,65.68111744888314,67.37259511030692,67.62186058273397,69.94383053461992,67.86849924424614,68.56703689306775,65.46853812030385,66.93927702267784,64.96128201205066,62.83999830567286,64.50385686252247,63.78179554678441,63.42974914455096,64.2986343075556,61.61779216190724,62.957282612545285,58.98931830257466,56.41553879630074,52.38567585903995,50.6972971556861,47.25063457492765,50.3199294835101,48.009059664804575,47.63680603161573,52.44296184655611,51.54599698098345,55.473434363246604,53.66001068540688,58.00385921564096,53.50022423560495,55.04412608122086,54.71560649589476,50.27857462263414,49.932769940922,45.67769927228743,47.78088713526418,44.1845723135543,46.43703630672595,46.21125737337791,47.363663162064974,50.18604868246989,52.36423342549483,54.75607743289351,52.26810784495239,49.246196740991905,46.29026195481075,45.576346710744836,43.63816847165779,41.31975863393322,44.5763940677128,42.52852512765336,46.767055825913026,48.943319605749366,53.56126682186768,53.10876282235065,56.75649633758985,58.96326988651001,59.06224867348657,56.60835441442802,52.86902389008316,51.37475394937457,50.354642136324536,49.76075666177183,51.69539748486198,52.71636508905181,57.07556819174647,56.28605616245068,54.00516428013025,57.54349054261877,55.06407421460788,52.20467824387033,50.44657558856325,49.53879858169797,45.46828279996108,45.424112927191956,42.49385669719207,45.02360156219774,40.7809467802791,43.31796227359764,46.665715133560816,47.01171666644917,48.586605779415,50.70417218785478,51.59712669581119,53.51332457454376,56.076906352630495,55.53493733711835,59.865534428739096,60.91455738997467,58.84456744711092,61.28206737406696,63.390773595060686,60.5275640633319,57.25944627162324,56.95649303309698,55.26772403208015,58.32211354242943,58.604820335621525,58.952839979658044,58.74356966120146,56.84791472087245,61.46260884144795,62.53729409063549,63.075585684154454,62.61877088199987,58.19725189660657,62.878177433357116,65.74502325645587,63.686309965686114,67.02056558756507,66.12508310487402,70.85827451393361,69.89821375741718,70.83973786118067,69.9680152514775,67.66912918404509,66.07810392523044,63.16702438094706,62.37329214006997,61.39451225180162,56.6258071679141,56.27495307015008,52.49083631082877,51.01384942679676,51.11602753731657,49.125602147530124,46.792906756224276,46.203060401225486,46.330430928012525,42.608136341481604,40.80123315477095,41.9803479257622,41.42294671947008,36.694311842242605,36.327152906570554,36.518631096024265,33.806290168462034,31.45982223145038,32.60967058671517,35.082471969061096,36.67454888660415,40.68523878713134,41.89771626346692,42.62557259263871,47.84058242096758,48.08974445278977,52.73916655405279,54.48026017372762,54.69024384875295,57.78508984478183,56.885905257500376,61.45767517498604,59.47017647986688,55.26909445387607,59.16022227131361,62.16914914126539,58.35246666254639,57.63945438360409,61.74882089633639,60.802206251171064,56.46596745591492,58.07189452949612,53.54344821120178,56.3953020004291,57.98257828719077,55.04067819679165,56.71215996772285,56.76900896895102,55.39938688299228,52.74582399881013,51.3295532011358,51.144950572118326,48.50901926973217,46.29410710257104,45.42020976491478,42.98466796309674,40.93123408131238,43.22746338726309,41.3053746834519,37.01654215614583,38.616346798883974,41.33581651386569,42.55409488553148,46.61951861602973,48.355836621544015,51.73621299628098,48.19927401471556,45.323060016023014,50.446474099808874,50.293855956879206,47.04109771064324,48.877039710809704,53.60392914044501,50.62027306103834,47.64222177826164,51.97648787499991,54.61706196636454,51.22534733061355,48.845446596827514,44.76242889170392,46.992808667966614,42.86808744281512,41.258826195214425,37.89615825283722,38.97549535579464,35.51476067800006,35.30889989161326,38.77832549874967,41.83333486977052,43.76747144332857,45.236200297737014,43.89780843787167,47.7138007186612,45.60891139386965,41.483088582970744,43.360952578845854,42.25715130023532,42.52260593812971,39.81697883202211,37.0196541405365,36.563520733388934,36.81428397416134,32.709455816440986,31.720303050363018,30.616533451421414,32.71217681432223,33.06662145502112,33.93086898551051],[29.987328360992446,32.458486216455114,36.47973438995955,35.82717843213546,41.34143228496245,36.7471009186235,39.61032226787763,40.69913731066936,38.30445355000082,41.36631733072024,41.42509787769328,42.65010133877251,46.149920007616366,43.81720904355276,47.21633736998959,49.71238030887028,50.539374701215145,54.28990907238569,57.03239033478246,60.248728779451355,63.22883236386511,67.09558085274912,67.99874784099914,67.7552637342268,65.53702646460616,61.14261742356885,59.736747990451065,55.655665279958676,55.31829967587916,54.033020227165,54.36836363356283,54.09500129036891,55.53870152585991,59.69291631135805,59.42035173356145,59.10792700908262,58.615713147590625,60.89218768499729,61.5859816569002,67.6297081945102,65.70619471833172,65.07466510520966,69.44033935944798,70.22924778052135,72.80323788054334,73.4371872053859,77.31152499036952,75.09732716254602,72.18472187389487,77.54616385016212,78.60980451517004,78.85550864438125,79.45480054141234,74.57414674572671,74.74527958995141,78.92169205929926,77.83722295185633,73.09702941229264,75.81140242628747,79.72263299909957,74.74273491268204,73.84254426193446,70.74932333846291,71.93197436536288,71.04484903381271,67.66120946974756,63.74333712594975,59.971490927480296,56.9635201409385,53.37756353035376,52.65704602649183,53.05256464320409,55.10887779662342,59.733724833933486,59.00930798847632,64.33547977945423,65.35969808654487,66.91274970669497,67.40616809410864,69.92583364043413,67.99556303609467,68.96060538529555,65.92222711403255,67.62376255583142,65.72782021928589,63.355888292094846,64.81427534527515,63.927917510594234,63.4097334581437,63.978922663782264,61.20159941760276,62.258906496323014,58.29464075376506,55.762049234275985,51.90955208013377,49.96756931988296,46.72473106710132,49.932208088789004,47.81652307002973,47.461612838704426,52.45299386441061,51.90324065916563,55.869541474131346,54.40216668772076,59.009854856476316,54.671834671850185,56.428566295953416,56.3123166220061,51.95234020851947,51.33126509652652,47.1190391882193,48.99825426381972,45.20194130693669,47.47586357358853,46.88388166408353,48.18151992439297,50.78289573467278,53.02768457125353,55.12296940939537,52.49483358763118,49.52342177700391,46.64070227655752,46.267028430057,44.455451062503066,42.264243276883946,45.847329144507086,44.02587996155806,48.23520565898887,50.5508764713153,55.063688536888485,54.97106046148083,58.6123060367268,60.751176456825505,60.60546711925179,58.247133461416404,54.38472243283226,53.22313547868561,51.96713368036773,51.22598029391642,52.93508271311319,53.84800295029872,58.128854667009655,57.125869999988545,54.90430593385464,58.34482852455174,55.72833494090994,52.98719332472837,51.12556869286059,50.35505484324171,46.18664985195206,46.263603417870854,43.014416917922,45.495771876690235,40.95496955557689,43.28611247704051,46.84465626930062,47.29192573366878,49.160444318626055,51.16277773351765,52.474154631267815,54.53814866964494,56.819946665412274,56.56121302535143,60.80280140675684,62.141133421630144,60.274831159662995,62.841635076685776,65.07332371468821,62.36701985333577,58.98220001568452,58.63255633958679,56.7109662789087,59.61183940846093,59.735711269201964,59.868298910648384,59.5555617147013,57.40075669737741,62.0277011252165,63.27715502402843,63.95780713882741,63.71905072454551,59.38372882398144,64.25302403725912,67.20386833137626,65.0967198220058,68.20312773369015,67.1084922097166,71.9773922320186,71.1192365234285,72.19827786592509,71.48845588216486,69.19873404914051,67.81245245809372,64.97919014690041,64.28927391563508,63.49136274671002,58.73166758318532,58.433576932154146,54.76843621366838,53.06047385557818,53.35370636292071,51.12900396560048,48.784720507674734,48.530446880307295,48.614247536280715,44.71359624687787,43.197947407261964,44.489251624055676,43.67022172209231,38.973936977741275,38.88276981108084,39.05752090951145,36.065632542813084,33.98973911633875,35.41588367315803,37.95062211906855,39.541125643367316,43.768369453499325,44.765111326755,45.47621018269495,50.73053726006489,50.935038143981885,55.596426453454235,57.136470836163284,57.258610128653615,60.218727773285245,59.14609828212899,63.825753564686146,62.03558373099035,57.76149437469751,61.52052457647215,64.73277134119634,60.997140490143806,60.1274194844164,64.20275791387361,63.499045793382315,59.15963625101967,60.48652587724777,55.979139394968094,58.51623676696001,60.14904339753066,57.19846258623538,58.63697920944134,58.63556442841662,57.0670305848979,54.62710861120972,53.24486398401409,52.76620399474201,50.162636338818196,48.220957402317865,47.18525338995319,44.60905876005408,42.836415599673465,45.24821177488814,43.13494605161636,38.86736861212791,40.82650325357893,43.56692883092813,44.94338231143865,48.92388038178196,50.5642712545899,54.09062264929575,50.73549755330432,47.820062073364284,52.91799678736474,52.99383448937744,49.790425066966755,51.515268285451036,56.369292054511284,53.590109673755954,50.516438588140566,54.75843259441304,57.58124305662682,54.3219115773381,51.872186106922555,47.7167112075522,50.151510670400945,45.990026447569974,44.44656917498474,40.906778855281175,41.773460598323716,38.08729664616401,38.07311644507624,41.48750578720805,44.66057427675324,46.40359921046102,47.793221375865436,46.14032686550959,49.8274399350971,47.471034839175736,43.43006424484434,45.03877232937875,43.8917034309518,43.799684195148586,41.381906924976846,38.73400117062301,37.863927654684126,38.01712652199519,34.35068252376799,33.11921273794039,31.602650816217317,33.46715384573538,33.6723418769715,34.545356889684],[25.48004343558083,27.746778512085992,31.607215402852884,30.7084003868336,36.15432087111983,31.44954870202557,34.236847759947416,35.396537005566834,32.94940923629943,35.99371668010808,36.1484926462275,37.46213846024128,40.83439639946648,38.515141702427506,42.0260864498409,44.48304754052935,45.22553307625105,49.04550394222693,51.81659606011256,54.97795773969981,58.008698232404804,61.83511384970461,62.79387884605076,62.54693288050768,60.2576034273224,55.87424098622827,54.40393315743961,50.309184081125565,49.9977923795638,48.73536570623378,49.24315975306578,48.93190750449753,50.528114179853794,54.6849912704083,54.272279019132014,53.87919056361091,53.348951070484276,55.55430176039045,56.210756669841565,62.25462944190522,60.333963533012344,59.742181506062394,64.11627053140847,64.87240815846916,67.44931271497931,68.07644289176766,71.95295199722182,69.73707082121737,66.81536647416588,72.17514287089101,73.24572168777694,73.50585449616383,74.1175651784493,69.23700798437955,69.44868224854332,73.6381322077753,72.5324283672537,67.81199399867319,70.59404548504698,74.48796510428359,69.50115197098408,68.70153158822328,65.64513906746502,66.85856143906872,65.8604212260875,62.45238037923795,58.60573685066961,54.82721394328364,51.868768312315936,48.311275251287434,47.62249346672368,48.19021399522312,50.19918920993501,54.78458986222413,53.990865035111504,59.4226681462792,60.274500008096105,61.904905935254895,62.280819658094245,64.72161428478611,62.75873201175315,63.650695585821616,60.642324948269945,62.29966787639705,60.35748030978489,58.01648138891569,59.4998648249424,58.687783839604045,58.19323147075988,58.91160375034178,56.16050606711974,57.38055567440518,53.40887443060362,50.86463093783521,46.89559885822618,45.10239701753,41.7239613647214,44.92428875942458,42.74902483717964,42.55648023357891,47.3673424508612,46.83356291741061,50.675031990209646,49.22872542787102,53.797346647384074,49.46409036365651,51.33664557559616,51.20542380324798,46.86818219169882,46.21549734578948,41.93307326858244,43.68394101518198,39.835687916249505,42.07398719436721,41.48013690977582,42.78854618624495,45.41993871216189,47.753298253060095,49.88434969108459,47.22228878858734,44.262940284320514,41.32588545363965,40.94087476584055,39.068272843476485,36.84837501765843,40.46541218774542,38.733013137212,42.93276777865461,45.3266135050296,49.82588868638041,49.84122984981532,53.531699524182706,55.578674695628486,55.386003756111016,52.991482461404864,49.07554408449881,48.03453151732304,46.67681442139541,45.92261284701603,47.573608753257325,48.565166194743455,52.84630535066969,51.79480824023376,49.53722500454389,52.9614908810247,50.33877382219309,47.58541917458371,45.73507908855573,44.98771778746514,40.840959703900964,41.02079052629838,37.84330025099023,40.53509484414473,36.181160659708205,38.4059955269903,41.82994555105743,42.112265404201935,43.97260803686908,45.887702848082746,47.17794054293272,49.16773461582878,51.43561804067717,51.16505819560339,55.41008015597021,56.77380125471857,54.96989107088955,57.549505592634226,59.842025461988264,57.18675401895036,53.76249272821381,53.3768116318176,51.38267699103514,54.25205033433132,54.368428459123294,54.5053435444383,54.247865754203275,52.09048601995034,56.77790326098379,57.94281530509716,58.655905549452676,58.365731811728956,54.08494155420697,58.97309817375015,61.922955914703216,59.778092529417684,62.834724377634465,61.72092502378675,66.59986337954811,65.7668708631906,66.84947495459193,66.17424419326552,63.89747731652992,62.5771823799983,59.78278895120787,59.15772761993333,58.46930703574712,53.71158501896545,53.51381147630848,49.953731283005396,48.15296749518982,48.69532887645161,46.40193297896373,43.91353788649423,43.88169702781311,44.137870526774776,40.06613313742267,38.555678663252344,40.138564329193855,39.40526142393006,34.46772116420543,34.60514569046957,35.058127509313024,31.81964767245229,29.685019139618728,31.60330617792249,34.00222861789502,36.01075780207439,40.07609977597725,40.87680793106226,41.85016172403753,47.17546575904245,47.73347651038545,52.154903995820604,53.55420979242728,53.387256778923756,56.23719634039423,54.90031576234353,59.621528707646036,57.99717913033348,53.45690426735317,57.101378373091784,60.46615931421384,56.7090165901125,55.625929215918035,59.63300621583774,59.12288519645401,54.759239307039955,55.76312238447095,51.34877630909707,53.71297532484537,55.48345782480079,52.683313278589,54.08036418631677,54.29518414199924,52.4925017814903,50.002358642465246,48.93682449256394,48.3835814600493,45.53853749444358,43.77740964361815,42.96785854833327,40.316058928971536,38.48564014764974,41.26529399620261,39.27981934998408,34.811782993709386,36.98199203176286,39.99376330617719,41.201134143506074,45.11847787503143,46.45641223437043,50.13792577505385,47.01100972022816,43.735215012192064,48.7688544881923,49.10509994076735,45.86900453044002,47.267305879809186,52.353298136266716,49.80757253537567,46.435300020046704,50.51587735642866,53.64550668312923,50.53195187050937,47.893324703335345,43.595178781762414,46.33720849237168,42.1054370168465,40.75285620772408,36.851684521173354,37.502677946422274,33.55952538902374,33.65518679870927,36.996472147951415,40.305776893624405,41.82967531256222,43.20359943062579,41.24764475205598,44.88109570535344,42.34342307696036,38.4614870871872,40.069282595267694,39.09348607314058,38.83034275924124,36.29957620894205,33.909945287930206,32.99347740008895,32.853731066679764,29.307931009528122,28.309525733750153,26.79029338880117,28.60747956618911,29.003533909926684,30.07417883115245],[30.68597100243429,32.76050205005683,36.51548680457324,35.0392323005638,40.53202758578334,35.76705277605024,38.195857005564854,39.394922935920526,36.46979363742786,39.046395574053236,38.9053453790933,40.481303299632785,43.79216493457647,41.020552795381946,44.32095698707686,47.03879006739087,47.766894961809975,51.25237740652182,53.7341794917899,57.187635929377706,59.943444908295184,63.94014620263579,64.63034680677578,64.4090678983115,62.41648805293528,57.968793799167514,56.86787780623031,52.858423895887924,52.58134233205008,51.551294890304355,51.45336419873349,51.7007694538888,53.06533458911004,56.99184058034164,56.85903563975851,56.376008796619544,56.28347748091878,58.31881024510308,59.12713501400315,65.32448382830675,63.14448442504303,62.22814098681297,66.61071975571807,67.63524536813276,70.13745043186265,70.98303991453712,74.77735066728951,72.54117174125436,69.89369610033118,75.34834256386688,76.31426868068004,76.77651068747505,77.23321209093159,72.17425691325444,72.51203370559081,76.51817291632784,75.21594745627057,70.46625849338973,73.19008470973591,76.95915411738268,71.79867194364732,70.69352025800437,67.59803138674023,68.50688008213591,67.80691902202629,64.55253479026146,60.325131655907605,56.680055572008946,53.42401694799502,49.893780555143955,48.98728705163735,49.11238885023301,51.379314660244454,56.00415727195789,55.599338750785925,60.893934064429125,62.17737243106837,63.857636424748655,64.53815519703484,67.15833504615476,65.55011212015405,66.66360245098046,63.95659878880313,65.76554028844458,63.706915330868284,61.17374686827377,62.27883464617947,61.56168151690178,60.613015877618686,61.21531030929106,58.174601699916245,59.00541914311262,55.121977748840486,52.81759597141143,49.03271494552227,46.94990757486341,43.774059333043915,47.46607462335109,45.65124185921925,45.831364045210684,50.5866258864276,50.619701881350835,54.24912576595655,53.260015564504165,57.940745917338056,53.75513798247392,55.908522753520494,55.79726148226941,51.528519418250426,50.79250214427721,46.42684727773407,47.77694328592035,43.70287584877003,45.64202363866189,44.562213471679584,45.72119632132253,48.04805698711657,50.058567033576516,51.865494781048056,49.362564618251625,46.325597714464124,43.655897566303366,43.42927181616892,41.95730466942376,40.1512501371038,44.056105344474446,42.92540623133788,47.040383113053785,49.65864063142267,54.11815701583321,54.26604927116694,58.10340956719119,59.89984756827578,59.69418420745316,57.08687677180183,53.00379250219198,52.08009935330454,50.31728775809373,49.24363003955686,50.822553463993366,51.34809524998613,55.44145852892461,54.368775132182265,52.3819178429784,55.85084314530533,53.295753428352874,50.67186748339784,49.0083410619595,48.6129397479896,44.510051226217065,45.09137908795308,41.761433730604864,44.660908407096265,40.20001125440892,42.00173898370722,45.50713445960639,45.640229909293936,47.84632845964816,49.383761097079805,51.08621423907322,52.88344769435396,54.75458348121294,54.46674316725887,58.705376878065415,60.18518496638382,58.30540388545867,61.190049084259165,63.38590928260363,60.94485439985717,57.363550464138775,57.15301017355594,54.9768389939035,57.918743371785986,58.07337804303972,58.125571173001255,57.993229573690094,55.53705385941118,60.38432500223414,61.48658765660753,62.448127037341756,62.109511679521454,58.12096635114387,63.076615845968945,65.9895698032645,63.671613663697286,66.42049457850527,65.01975706477907,69.97270084170792,68.96071610703439,70.33590292006068,69.78805036470047,67.69061010648281,66.53023029714369,63.877253997670216,63.444932472518715,62.92945481762208,58.15907978719367,58.21247597188797,54.77045114176537,52.999003529498914,53.803408565669955,51.514728542848346,48.868589825635155,48.96746275987413,49.426046995546294,45.27039780996839,43.60994142975269,45.43781487566627,44.85591372614545,39.773021351764946,39.94837989281316,40.57618466058857,37.31051670915628,35.03716573730649,37.063881241247714,39.328022639029186,41.53131457388581,45.28954003114333,46.23076732755877,47.34478298184774,52.666543724953314,53.308917697512555,57.68429135315211,59.1422240617615,58.91383508042978,61.75035619822618,60.31684561603106,65.03138243870121,63.43834584662266,58.772090468652735,62.369778263043855,65.74532803767035,61.91839313894754,60.73602972176486,64.67497004995445,64.15023746763497,59.749934574370066,60.559812402771826,56.330152586726875,58.66784713382228,60.58925828195736,57.93965593952316,59.30497697051748,59.63480948262081,57.65965167578193,55.188417335482775,54.321819052974895,53.65735427460467,50.70093359666523,49.113648323953996,48.37583454649268,45.662538532911846,43.89150081098617,46.80904764511158,44.817198970905864,40.32951432988364,42.58984229402243,45.63922048377729,46.816345875297294,50.71559476355892,51.957549531130525,55.68089004458332,52.60016863660037,49.207259927417105,54.20439627197927,54.57620849653476,51.29568315786155,52.54113892806008,57.70199130950119,55.11013402856327,51.59474758187764,55.61846838102579,58.81403090151387,55.612718220573136,52.864853851843094,48.488665546285034,51.100099835616646,46.743819303102505,45.67777704866307,41.68798732718156,42.54647664950944,38.577983173393115,38.36838240315786,41.65976999238076,44.8938830872748,46.403448936107075,48.05152158751876,45.958569749297425,49.603348770357094,46.83294876635205,43.31972889461784,44.954995568902994,44.15899953056576,43.592481743755215,41.0445866608648,39.00615938231013,37.932745098056394,37.40162078363647,34.19196006428023,33.40400919498207,31.688116241607894,33.26377453405639,33.64296838655682,34.79889142888306],[33.127788306271604,35.376652644923865,39.1026214200238,38.13514640670033,43.43967237626376,38.36512530559538,40.81912001672503,41.57721597644612,38.77222163113088,41.59790043222414,41.20528232758601,42.37271943947892,46.13658258530109,43.63104271162827,46.636552387117376,49.29810667233928,50.413028917014344,53.89757612884243,56.676714279110804,59.9960233665026,62.87457755463167,66.85398507806737,67.70930429539598,67.67626295798037,65.5934374060755,61.139705933219986,59.90699512033029,55.832606452234906,55.24455964822443,53.91466165737831,53.60825601436099,53.63707353235389,54.71354901870868,58.74626313652486,58.84074523356664,58.67834428675234,58.48358566012004,60.94485051304539,61.909064979102304,68.05040311884956,66.19773507329796,65.15780551040724,69.46514135270603,70.54580559612454,73.23498526973412,74.150966284413,77.90960208372839,75.48272975929513,72.83906407800494,78.3157823162896,79.08600043295479,79.41116179839878,79.76522991508388,74.8108498473297,74.87423828351713,78.8987051026801,77.80895050371824,72.95933160960507,75.47758699317005,79.41610089087091,74.40775356390893,73.17921751060418,69.94166948875154,71.08162527626878,70.52293483624914,67.14866801516598,63.056483740242335,59.25273092690207,56.21681345614236,52.49208100940447,51.79712117783761,51.870132059489464,53.87350375145166,58.591635005208055,57.941849571307415,63.029208954197976,64.4579120959048,65.84532884697046,66.66336181550531,69.42671064215605,67.71886795173641,69.02759640072121,66.11418122779455,68.10465800428068,66.29610821883983,63.60988935407724,64.7689081727865,63.70311463937583,62.931441368635866,63.130782983957324,60.214791713686346,60.89098669063428,56.95619600144387,54.51496854713469,50.915795491674686,48.65370639190457,45.70472988911036,49.113989282605864,47.288984074711145,47.03352458596812,52.18026454667833,52.13197114880454,56.07517449409809,55.10023501703375,60.00370923043932,55.92003154665224,57.97407159952945,58.11049184902204,53.87250025467081,52.913871933961104,48.75688653503227,50.29109252699011,46.24662538362741,48.49350630850108,47.41052646803287,48.86422136003566,51.14940719967562,53.44522342629348,55.13744993505372,52.354297853139876,49.46067930693848,46.710759134459266,46.779626269719984,45.16541096713101,43.180477494784924,47.154524976448805,45.699480337489334,49.83660961757662,52.342065229759484,56.696726865324266,57.07049501238096,60.71703095507291,62.72341217209316,62.273136225495044,60.00973519310533,55.98665291268958,55.26413405091446,53.659863085633084,52.72407321964094,54.14185192880938,54.89804645393108,59.01307611982741,57.74898375551778,55.641333926550786,58.94158176836661,56.17475528040129,53.608182110042456,51.65080718634861,51.093271997906974,46.84656909549463,47.13001018980936,43.521971375977735,45.98199318765282,41.14502865967456,43.12726896198619,46.88923262091225,47.41173074906651,49.66768737204998,51.456030493739036,53.31548212924712,55.515761614587696,57.395071910071444,57.48247693427939,61.59727448361177,63.2989946028039,61.698579326159916,64.43911096844373,66.81229484104566,64.3335500548303,60.802757701906586,60.40874026858203,58.182524491803726,60.884519590561105,60.81684289581222,60.67584545000109,60.25902900148313,57.75998566133514,62.40814434453546,63.84809167112262,64.73483297855195,64.75212977440081,60.58101567050722,65.67146538059508,68.70962650410614,66.52628632645134,69.30089220924602,67.93662380038214,72.96502097570989,72.21549480155042,73.48610732597318,72.9910953707621,70.7483621356528,69.64348826724519,66.93655996704965,66.40310308532256,65.85313770696169,61.12337347192517,60.940130450724276,57.46066797401961,55.47394243470921,56.0657233376051,53.564525647665505,51.170067739762914,51.35985398907951,51.449236869904354,47.31835939532731,46.124722308196105,47.61824184501929,46.54371790658535,41.844161475905864,42.10538644042297,42.33229490614075,39.00001333306293,37.20414524403619,39.025926174191774,41.57894997765727,43.252419794242385,47.64840501955442,48.38535383235039,49.14180910729219,54.446367832903235,54.67443831221171,59.289187238576375,60.58394274029083,60.54361297716812,63.3165556087888,61.98177280626189,66.78599270567749,65.26508963820658,60.84249755059656,64.41827911356131,67.89976371790364,64.24488669071107,63.14144826232618,67.15122479986358,66.76447649659798,62.421275126247224,63.34198381904373,58.90564219752018,61.02926045801684,62.756197655105694,59.849368278317314,61.00257017908793,60.98554789980808,59.11999147411443,56.93643193389574,55.68454750688482,54.834519884591934,52.2205341614947,50.66067123197608,49.495585694254984,46.74929103006115,45.30391847031613,47.924933988014985,45.627696420879424,41.36671039378238,43.77057402705641,46.5787884542712,48.09089725286304,51.948380000028855,53.40407182847388,57.1226776546022,54.031709703205415,50.99525448419165,56.035177964222925,56.424593009996485,53.272869061890475,54.78926831937301,59.83247369646772,57.33073024875477,54.083638137850556,58.17515105423697,61.27001527141174,58.18083298782205,55.607952883605236,51.3427065435059,54.042241958894586,49.82741705313424,48.41869695387016,44.61237711152839,45.22328426093224,41.25715237766676,41.44406091502267,44.76171957328579,48.07433809619808,49.55753252914872,50.87949329597826,48.797431953353204,52.310834861944,49.61405767801166,45.76724048473101,47.049927799790545,45.91278276250575,45.349685839390126,43.250684873840676,40.88561338308928,39.51616424340147,39.46321951514579,36.387066070172786,34.962417311921236,32.9504269725107,34.47700817101493,34.531789741975714,35.455051144115444],[29.782131177527273,31.964127471716935,35.47463605348685,34.823826956983794,39.834926285071056,34.48684405884585,36.92977486572957,37.37345044389039,34.73392281976683,37.814282721416674,37.36985685434936,38.23562591558676,42.23720066466835,40.060279242308575,42.97483682745221,45.48904613167513,46.826381420974464,50.43913736967388,53.528754861142446,56.62146925683164,59.69851391448758,63.5811639659441,64.67118534814796,64.76243434283924,62.479810096390196,58.05756960101321,56.584151025753044,52.44127996651517,51.63918516315269,50.051596268034785,49.889076637196574,49.58063521277452,50.63082711737331,54.80378271065643,54.87098626749302,54.89805147498294,54.484262661477366,57.234508569808305,58.24359829752722,64.28819669623888,62.748992474806975,61.73731694344845,65.9852990413151,67.00048077572797,69.83779168807258,70.73346737646453,74.47626441257795,71.92974869748888,69.21571354481244,74.66007424308408,75.32896691872257,75.51135750625632,75.84821419829494,71.04399040484304,70.89801133051249,74.9885451946209,74.09072543892972,69.20270803888714,71.63984679855811,75.71254760350438,70.86748632094044,69.71842905869948,66.42284058570972,67.83791896034309,67.20681684038237,63.68944758112396,59.8648322821725,55.9094918133894,53.15798826155963,49.313675386895554,48.858831113069975,49.15465031540895,50.85936333726613,55.59783688478057,54.605868233448405,59.669443509546575,60.93468934796379,62.16372950293294,62.89386980944908,65.64366437303067,63.74340357648568,65.06792368734794,61.959037548708984,64.00025508722052,62.372888224744706,59.65356748538102,60.96706534950154,59.687891111428414,59.18615010614458,59.25139523230313,56.528674057446985,57.34054690068449,53.3405468771407,50.72258976354263,47.11174860641629,44.92238494744948,41.970389482260344,45.03546173648268,43.06564631049869,42.52370315533597,47.82344212815217,47.594176646218436,51.71049368602332,50.65864010751662,55.65343823222036,51.6336744302198,53.638566567263894,53.95229543949488,49.76983198931321,48.62926883538092,44.61996788642498,46.258640009693586,42.26818905029352,44.7709983236161,43.791802286038596,45.50679635026513,47.84281903395053,50.5019937225108,52.1997276509102,49.15072047169513,46.40496383415349,43.49745705638317,43.74617554003171,41.89569871604377,39.67904188793645,43.653139812860495,41.908847027042846,46.04175638287443,48.462288640166044,52.70597283709946,53.3100013791973,56.79798497889483,58.92961696538741,58.26047798297577,56.28656561375876,52.32256814807182,51.83462682358077,50.35781609863897,49.5861982742404,50.83838517491713,51.942745341162635,56.10329962736019,54.665069905357335,52.378984276344134,55.51686789286281,52.576911573226496,50.024076761252445,47.81978812280309,47.08315509982119,42.75424195338198,42.80636964574089,39.088179922735854,41.32748021255771,36.391306387815796,38.50744509368611,42.33319147238189,43.04969527486651,45.250545747112284,47.236441036172046,49.09854832956355,51.578341033837816,53.53272445884456,53.90016301415662,57.90724259148285,59.76690251141463,58.44993414255646,61.01423860889284,63.586350098110415,61.0850776845075,57.61034305368883,57.007490113424744,54.734712650006756,57.19663506301042,56.944310988974124,56.68121444748499,56.06966855291371,53.61695628514565,58.11547307171092,59.7464327761709,60.54021084906365,60.79139975710427,56.47689951494224,61.64915572956385,64.77791076959949,62.71115923388414,65.52575828999582,64.24587064560863,69.30393765279425,68.8263580251475,69.94317428165037,69.4867660764392,67.11599086237491,66.06966650461679,63.33216239264341,62.73676524391654,62.223725633486374,57.55133121916726,57.22088909132527,53.796485983649205,51.573396303861436,52.154131005003926,49.44451338270519,47.17335493316562,47.59835732263855,47.50335080938871,43.296719367202506,42.52112581893619,43.93639380500827,42.520860696133916,38.002895880611355,38.52102743183181,38.62642612594003,35.07264274775695,33.67480831530056,35.69873989763491,38.35152580601559,39.91522047159048,44.68694591555548,45.06252158294237,45.72664070874249,51.037535215300004,51.233418781669755,55.80823000639887,56.836585313652456,56.70480154095309,59.32674967525741,57.86753344613915,62.753945126117294,61.42896879013176,57.01678941218376,60.46606610917822,64.13469806197453,60.627697364996564,59.43110307542493,63.43177532147461,63.31791361369707,59.02730044548545,59.79323663950505,55.264626981575084,57.074345889835655,58.72791350926066,55.7345351656468,56.68847192628437,56.56762734601591,54.630631395503706,52.62985332238167,51.31607004471148,50.287188095102586,47.76782624399447,46.36010941070368,45.04469503878568,42.23489113458333,41.00288506797369,43.65716240632011,41.243898625625825,37.029977025153094,39.69705081063051,42.517297398270365,44.14505682006061,47.892216868832065,49.26469700707662,53.08326592974971,50.18968067387104,47.167452166390554,52.15868448714479,52.77539829005797,49.7252029530731,51.192230816919476,56.295639390819424,54.08678449138975,50.843410415527366,54.82974502698732,58.07462389330272,55.234581814372795,52.67692416651744,48.43303959534872,51.473826345188925,47.36751033663807,45.80081890791793,41.88406967833666,42.075042477661,37.94736860992226,38.59101520934993,41.84013558772487,45.30758782358957,46.577932760055006,47.56569078807136,45.27265410169433,48.604911169109634,45.879068824354945,41.86058796091567,42.85002802757238,41.56064169652489,40.90098900368163,39.10111577050657,36.65473678677685,35.04500456133455,35.198665068027644,32.3304543520848,30.571982929658848,28.364780943779035,29.813780847086377,29.76772781119289,30.635959339086433],[30.53580006341376,32.329318738433294,35.56340644114112,34.14502641556049,39.084600752697334,33.59252229153693,35.5778700287727,36.09961143324629,32.94512871685254,35.53940581019811,34.872766291419815,36.064137399202295,39.894791274555025,37.30816152329393,40.095046338339635,42.82191746967342,44.088281072503406,47.43896260422286,50.30372470779728,53.607602511144755,56.48130101709046,60.482888272570946,61.38628969234553,61.51503646283229,59.43619052419427,54.96872269174262,53.76900928690345,49.69702476655659,48.92852855886883,47.57278403885903,46.975563293052325,47.16631799405977,48.12663167381945,52.079415203797254,52.29070602906585,52.1679437966704,52.13468999065838,54.67146613122516,55.799436200564145,61.97841598903522,60.22105072380271,58.930751997576614,63.183509072092285,64.42076239393113,67.20301985304056,68.30210678283173,71.96252838525623,69.38288340388243,66.9206995323531,72.4528172031774,73.01750128955355,73.39367852240431,73.59520285943114,68.62126429799368,68.6252958966748,72.55134763942252,71.45614264350593,66.56161592423256,68.99166244115726,72.93083802965258,67.9276635508602,66.57644174566113,63.283908274001284,64.45597362121754,64.0061393618745,60.612557160512445,56.50924743694672,52.66076554755645,49.69244673611549,45.88348486615592,45.27338289569374,45.31126693601504,47.18949670399973,51.94043346064161,51.23062538037966,56.25317046171577,57.76895006362144,59.106402344338335,60.01876084538503,62.86815861526855,61.273664084441414,62.75010407982661,59.95255020540501,62.1015271278615,60.33331827958475,57.45353509186995,58.429723602506165,57.29782942162619,56.39021835882791,56.47073692513097,53.50080688441744,54.092198694240466,50.16753752679537,47.76231638910905,44.22182465990913,41.88450148459526,39.00662988103147,42.540120927543605,40.87585640262732,40.86448421942528,45.92263880371868,46.27278495723986,50.05231024576301,49.47285425919381,54.53360317795384,50.674235620199504,53.05781705623287,53.38136343804678,49.30748980253487,48.05352510183253,43.922364669384486,45.039944822583045,40.79452189107295,42.9764154245044,41.51965146588847,43.123423002702765,45.18084970057573,47.631711037546694,49.04791108725215,46.093574053101264,43.30606679710223,40.59750659992023,41.02426983012442,39.49577623303471,37.65116576189115,41.93069831362501,40.848940619386774,44.862669797884216,47.56035867417373,51.732506806691056,52.57987521707574,56.2313753502709,58.03738095710907,57.302205556754764,55.11194871424793,50.956131320366666,50.715820381204594,48.78561594989651,47.70418657365756,48.79786646052482,49.531203898283074,53.522326901632894,51.99870383116701,49.924009328665925,53.06819516564031,50.177715261117484,47.74922363429418,45.72018767812643,45.34516965824671,41.087959817627585,41.63130271939202,37.83575709390123,40.47462996376796,35.639964632332415,37.20899193206083,40.97428407530668,41.38221538473244,43.91484750746054,45.44147597463721,47.69236016244745,49.921760572218226,51.47139879045833,51.83444972188456,55.81822586387793,57.8252192147977,56.520471272349,59.37155630969814,61.915569433773456,59.6720591688021,56.02294426450426,55.54250536864092,53.027870436062045,55.506808158328006,55.272331431463414,54.921789082668354,54.473816174052466,51.73127341648112,56.428475250317724,57.9253931684192,58.98539210545785,59.15503934657036,55.17912797749306,60.425511176708284,63.51582585372484,61.25906094603199,63.727701815299206,62.155656737923046,67.29352309281283,66.68623342604508,68.08526516482627,67.79292866642399,65.58722909055992,64.76149607080937,62.199326526790976,61.848186239892904,61.60858776013338,56.94393634245615,56.931416366421146,53.73290817002778,51.45272283208262,52.51183416450828,49.75373484460976,47.21153317020838,47.971776233828926,48.228730578090584,43.809230800446414,42.90723252960334,44.81309469317122,43.63460755243508,38.787120303380014,39.548059211703276,40.077271230632746,36.30940008670527,34.73740982945309,37.284522850917845,39.66366822878989,41.77966798565007,46.077992091137475,46.40533939477151,47.43962585983376,52.781708129100146,53.37695528059058,57.6790771928571,58.627898116382305,58.16789819687976,60.66599447043881,58.876835048713225,63.77597256741549,62.6384892666613,57.879307511727575,61.16209141389128,64.96971785939738,61.39306075863788,59.90979410654873,63.764796854091294,63.826961521769995,59.49632830176734,59.774482769197455,55.52144014687108,57.12944863734447,59.0461389089299,56.35010802584331,57.229120948303716,57.429018153395575,55.11221500096103,53.09013671021814,52.274066838933884,51.07970228306844,48.23499064102694,47.17383697791236,46.158599903646454,43.24101647613962,42.013225585377384,45.128225776136375,42.861049334016805,38.4724868855926,41.385966391956586,44.475909054125026,45.89253234751645,49.542364988971485,50.530775742036575,54.51043594247394,51.886481589892476,48.433468781837085,53.30067428706884,54.18681993198634,51.07976403046623,52.09468004415209,57.455795513899965,55.42861312855569,51.795282983275115,55.56156523352597,59.13623866280213,56.361123665165955,53.54183705850162,49.115927492581086,52.30190069765265,48.03914314376669,46.91814712720468,42.62644340415193,42.80360162786417,38.44645165406446,38.91725559940717,42.025751375958905,45.52873127670439,46.56680816754454,47.77808951625277,45.085776142579384,48.35353223346589,45.24606214988396,41.74892097734278,42.75413600695217,41.810009428288694,40.69185349075734,38.78985164192134,36.94803080716127,35.15394471870967,34.625728602418505,32.254364532317005,30.92446241826261,28.546200905534885,29.67267155333931,29.807710456218366,30.960435167321727],[35.20052804205022,37.10177822651485,40.415955383740716,39.04256816542232,44.03234330889418,38.534568524123046,40.47286848450232,40.90488342395157,37.67839813251253,40.16149818145422,39.31241668426629,40.45416068386518,44.38450471762252,41.70978990095555,44.28079814732214,47.08706098942598,48.46286017927401,51.633037252525085,54.42287040991028,57.816466557505734,60.57273043924786,64.63789313876781,65.44602207281288,65.63362802606602,63.69100814223713,59.21054078514631,58.15752392995455,54.12791491186625,53.295223260882494,51.95563014845359,51.00162068642705,51.372055555888686,52.093013853284816,55.95051511088065,56.39561090228548,56.355009248993696,56.484095447429375,59.07741032159827,60.311434820493375,66.51505391114148,64.73814706687753,63.28002712848808,67.49831084151998,68.87227237397421,71.66405179936346,72.87219181173964,76.48601917671945,73.85146620569236,71.50917548846444,77.07846555540081,77.54401674817706,77.96104590771164,78.06293214512976,73.04652984023772,73.0163528733693,76.8590060673181,75.75056202595168,70.81866658872885,73.13456652980834,77.06705148269124,72.04885090936317,70.4956571945752,67.14390588844502,68.23119203311133,67.99651089508755,64.65977467385582,60.424461802164046,56.61646790844843,53.57972696356388,49.74956144766554,49.092952057714434,48.85683587212884,50.77969708305812,55.552697657313665,54.97848266392282,59.80651049612341,61.61230715070426,62.84995209874585,63.97473146180298,66.9579849505801,65.50320177912425,67.1447592526772,64.40936091555064,66.67371615289288,64.94669010761314,61.95405332192883,62.78098483010251,61.57018861335289,60.5214389200883,60.382380855425055,57.33282385208034,57.641529144269455,53.771535027655155,51.45567196149188,48.12304440402038,45.57743529595643,42.93308404101227,46.55527098057826,45.06755628400779,45.0127085097312,50.18877148542408,50.71497415192286,54.52868047316556,54.10785981045458,59.25882502331925,55.48032360671966,57.87908156401127,58.26252025870269,54.20531339983995,52.90178279126325,48.81805090821128,49.90821024006793,45.63368611452191,47.78679893500125,46.179118999498115,47.77311876429797,49.69531144880022,52.026284297925216,53.28408498228323,50.36013824091639,47.58502986478832,45.00105792158026,45.53975909363253,44.155327052193385,42.4314585412725,46.77801377987805,45.781653466545535,49.77706439156021,52.48447838898665,56.62831051745314,57.51047611230461,61.15465005077837,62.96103867743694,62.19371679352739,60.016977212946856,55.84307209098324,55.61904838952405,53.634419296409696,52.484556045492994,53.557724169811216,54.13816845726715,58.05526814094531,56.50820431817715,54.53025415978072,57.65051781798522,54.75406370598977,52.398520919705796,50.37990286411253,50.08180528484995,45.81986346823408,46.38141570983313,42.47177643666378,44.97150938465873,39.96768613456963,41.47421203051378,45.35669001611116,45.87386072342427,48.522957735294106,50.00746082839425,52.43141801340535,54.70435473943262,56.11992069709607,56.55773093515443,60.50297437881607,62.58213805894056,61.28075804320695,64.20037258649974,66.71693182352844,64.51794907490098,60.843125501469494,60.404544931660006,57.853700649809525,60.322972390862425,60.06050723410238,59.63799537106013,59.14849956451363,56.29875208100523,60.96315725395723,62.54895456247311,63.66677999526052,63.92178876463326,59.99247871926666,65.27594215146438,68.37785312754626,66.10737071135667,68.48925038239916,66.83062165354168,71.99967305845414,71.37169216294394,72.85337059228858,72.60507564747287,70.4300324262746,69.64722119676293,67.10481899024353,66.76965714329471,66.52829001609115,61.862921220711776,61.843175163475784,58.62134431568638,56.349909422316074,57.33762674318332,54.56926409438884,52.08722634532716,52.795031552654656,52.9684137167782,48.596765277855724,47.716552598874244,49.50613001747482,48.247196140678376,43.510450774657016,44.18134981542884,44.56778046939993,40.88141788713017,39.34313172665261,41.673420194303276,44.146283623776895,46.04971766731548,50.466796835658826,50.896899548441155,51.79743779050213,57.12955885939182,57.52402669816236,61.97553800858273,62.97329491153364,62.659366609809354,65.19577838965323,63.50882868413146,68.4156486519165,67.22790236891603,62.58382487157781,65.90720813602202,69.680970080048,66.11712619944919,64.70886498924072,68.59387273289735,68.59280953988262,64.26123303108669,64.64596999201666,60.35995063723997,62.00047951962632,63.86915206627216,61.09753880377668,61.94447500156291,62.01243167420473,59.766305009412115,57.830346004256306,56.854107601114464,55.61939331846954,52.918175348865525,51.82719977164716,50.64600539497988,47.73600530189491,46.60531427380617,49.5425792014343,47.15136485446028,42.878987085664974,45.74828047687907,48.69355558902094,50.24487492721166,53.9244868170244,55.06571406344643,58.99721187223322,56.27363161556055,53.00302647853998,57.91419665508165,58.698170556899534,55.60342710544232,56.7754056570202,62.05154728673497,59.91224740584796,56.40313673690634,60.255527381504315,63.707223342464154,60.84632015819714,58.09779725515807,53.70851918600858,56.74167199566819,52.47368866241531,51.2886160802225,47.14266394586693,47.44754897028197,43.181415755462346,43.5717929784508,46.726721548005756,50.17486068011835,51.314068073168215,52.56666970693488,49.98089959990709,53.26561847925784,50.18486540289482,46.65969325329334,47.61637282525649,46.58319316996427,45.46754428186179,43.68260660961992,41.75223832095475,39.89855592768698,39.493347104184295,37.14790590482505,35.66966266292537,33.2186212502861,34.31774124938448,34.29767055238975,35.32897197570132],[34.26302749932518,36.45598665776681,39.87221506177944,39.32068805949961,44.20119460236174,38.670706055588596,40.9581884583957,41.11433332338197,38.38205539546075,41.39223980933578,40.64672353731469,41.326072321126325,45.5813716329496,43.4144992697856,45.99350412803742,48.55912491456686,50.162255894115724,53.59792168537804,56.756476593457094,59.86350576740087,62.89227466113754,66.82054927895865,67.90836490984867,68.15203399840863,65.9424805162599,61.507187503058645,60.10878603214736,55.97923044769111,54.971401833161615,53.278869664926724,52.68955020120732,52.47430381666529,53.192304190842485,57.30932761054816,57.67655059317915,57.90341737115343,57.61397271326428,60.58617969651554,61.77383335436707,67.81962097939483,66.41183229730558,65.16735411359316,69.34489033539278,70.52192236024935,73.45298051417262,74.4985569971578,78.16589560813567,75.47491808785097,72.9018984072347,78.38524159870808,78.85778382103332,79.02939309544091,79.21486087564652,74.42825658471638,74.12875742610453,78.13500680393422,77.31253569763334,72.35041421680428,74.59658096460215,78.73105778405933,73.93862584205385,72.56044677444808,69.14838589022965,70.59679373924718,70.21094924618201,66.68655376031256,62.81231823309245,58.819651098924666,56.11650100590122,52.16530952773439,51.77359887114391,51.832675489959,53.441380204705936,58.235925936194604,57.24003823491648,62.05395980645337,63.61912947769863,64.64095536457941,65.61143467509382,68.53809223877906,66.7335102520864,68.29871759319461,65.18825937575441,67.42390985515831,65.9370566233652,63.03068868447075,64.20535793882728,62.71361849240296,62.14276239755507,61.84967984451382,59.10593088315283,59.61742505157899,55.646324284733375,53.05351915445112,49.69743471901699,47.26215523099272,44.60339922558808,47.65008382417948,45.858106397537824,45.16554321684702,50.68262959377765,50.65536274281249,54.87404570488266,54.04970445706499,59.225117841738346,55.373416493206975,57.42201306843201,57.92238488027351,53.81490641111152,52.485203743276834,48.612561179462176,50.19215641234785,46.15357289986462,48.719168363746114,47.53267208655149,49.37535513708752,51.53589990585363,54.23491171780172,55.70497039618733,52.54115950930339,49.88261857241923,47.05549333449154,47.576764213191765,45.815194870278575,43.67222206866163,47.787006953455645,46.09498131620856,50.182895232797094,52.60795746818814,56.73642845000958,57.55532106865057,60.9611682669042,63.120598306220636,62.27191908280028,60.45639196295856,56.47528425185996,56.18277992808789,54.637547213549766,53.828947800931886,54.937586098972545,55.999548165181544,60.07270220204677,58.49412771560987,56.25244999284769,59.273382901547045,56.22489750486938,53.785289398913825,51.46981702859812,50.779367788652664,46.402952645193096,46.42074079070891,42.47562713856092,44.46519299779336,39.26659432431441,41.28997098250481,45.299037218093694,46.22635269176028,48.59810931895306,50.57970398327432,52.72704592606856,55.39341635050993,57.1639232325794,57.79212351482895,61.6883707912587,63.75660736154091,62.60957876916716,65.1988115873566,67.85003634371843,65.42453830370046,61.9243665621286,61.270100039656064,58.88851239291282,61.20112582760208,60.805864815289645,60.36560801803825,59.606859548877416,57.00102571247305,61.39960696197107,63.24332115990774,64.09019345249753,64.58117668191447,60.28590329452513,65.56516661144919,68.75764125280976,66.71674053930313,69.40081860819677,68.02256572390144,73.15117116424295,72.79396540579545,73.95921776112947,73.60051621549151,71.21591555058525,70.28408364691482,67.57689819591734,66.99830857504134,66.5400934878735,61.90513068311518,61.52383607921202,58.138372136735,55.78567301593245,56.334928716369035,53.490108323678555,51.33508501603674,51.87969591968715,51.620869941716904,47.41735937881529,46.89706014832421,48.18639178633959,46.51008746946138,42.21847517966266,42.804551942330136,42.71960030893142,39.13942136356005,37.99835725123138,39.92241654654785,42.688994380120114,43.97823896448951,49.02069122814282,49.316354560010204,49.79895019804338,55.075076702378176,55.035087842909725,59.73031550753622,60.65187331475133,60.62050127491499,63.17964673251158,61.745314012424025,66.67561617376428,65.42757765320768,61.14252758227249,64.53945344475956,68.28130517250003,64.87737305286936,63.69126771142975,67.69778508633435,67.68130546422745,63.426232081792136,64.1748468802662,59.59752092397267,61.23498254665951,62.81454724395687,59.71823494802657,60.498443968845415,60.183635443592586,58.25117805164785,56.478076058414715,54.98903833619981,53.77892578111038,51.46990872953897,50.17171034873069,48.59581230732167,45.75692827659819,44.79234890225144,47.28268703597628,44.67084462333566,40.64754201119122,43.431103610657686,46.079888189964656,47.91582205191296,51.5998579159379,53.066987934655636,56.88481397716158,54.024975396629536,51.21001177320324,56.19035362848606,56.838081456906636,53.86948247686468,55.445687694846065,60.488027703518874,58.33258808694956,55.21422467794077,59.2092731569928,62.41123702097052,59.61972155742513,57.13820706526828,52.945230966467996,55.98773900579599,51.93165447163117,50.25978333048815,46.43277577337253,46.551527422405904,42.4351582297624,43.19657112270237,46.43076440064083,49.90943389645163,51.152554134394684,52.03699849712423,49.70286417577122,52.935950959993264,50.17359552928394,46.11042093549689,46.8649897793463,45.429854678726365,44.64160379957331,43.1594979642513,40.667977509251955,38.81093913799961,39.120338952063115,36.51379980301406,34.467816581610634,32.021213114298945,33.30104206288814,33.01910575757562,33.75637625130572],[31.731389028174775,33.618844517998234,36.61832254997841,35.99816218238621,40.483988823820034,34.6107201679581,36.59718020517889,36.41385493629066,33.58661030305326,36.58583874901142,35.626993460193766,36.11363592795787,40.55699900644717,38.544253619713906,40.897710637825156,43.41316783744657,45.24448114597557,48.64410194187338,52.00854288981593,54.97740118419599,58.093797071082555,61.97780387488178,63.207052173054166,63.61170076470071,61.314383343579145,56.90195652951052,55.407354623342826,51.26097084656401,50.027638913871506,48.178508320586594,47.46550439531757,47.16413598813217,47.766651883676964,51.90715431770007,52.35176244224096,52.72038122289402,52.41617359714378,55.595206435936255,56.90633179818503,62.90777396173159,61.724062239052344,60.34520468257204,64.4463924292046,65.68153517100414,68.73279033761149,69.87129196367931,73.46145609089837,70.63108434412564,68.13726870492793,73.62198388605769,73.92480488728091,74.05307822721684,74.1399374349745,69.43153525584353,68.98207858815813,72.95516144836478,72.23157191825986,67.2294267611674,69.36481059647298,73.56652140850798,68.86874036417963,67.44839748682753,63.975801837315196,65.58385591843606,65.23664145272818,61.638536187055294,57.902707255649254,53.8145411693721,51.31235716499293,47.25846204459592,47.048279234452046,47.185993347488356,48.55143593274243,53.363040603013836,52.153555054416614,56.890164056168096,58.43529678699924,59.327901700280364,60.321833351948314,63.29769915170821,61.46567026829378,63.1485052739079,60.00646169062607,62.368075726914114,61.010385123133865,57.970833891617445,59.11181333967173,57.45760548221713,56.948598425693966,56.48839981199537,53.82075869454995,54.33245421066932,50.338767469661065,47.673509976501606,44.37706322728838,41.91912192188673,39.338988065735556,42.246994376445244,40.487778001863816,39.75119152139086,45.32524013325672,45.44499367729576,49.67090201605333,49.05111760475086,54.370640267206724,50.699224113813486,52.90668614864513,53.617029066370954,49.649469519468674,48.04965830182261,44.29524035371601,45.68479739892257,41.57953588105718,44.23828972242068,42.88940286707256,44.95365125258109,46.98753513271694,49.95225418979374,51.24665161418259,47.856925541853045,45.35716255285559,42.49554573648791,43.327642757607876,41.50797576389801,39.3406983938341,43.60578556647661,41.9806768965984,45.96971007550367,48.44726190200016,52.392639926392754,53.60001569873878,56.91207016535939,59.01670550553893,57.89324592674381,56.27879532732366,52.26900402453318,52.37143464886665,50.72111690419542,49.91729303131601,50.74756024545575,51.964756150705604,55.96249203826133,54.153060794298426,51.854891842519265,54.68532718215511,51.48333402209885,49.14719034466982,46.66173314919167,45.982635098416786,41.569751718885215,41.602900377511226,37.47704650588166,39.40837864374194,34.12698380453323,35.97650389260969,40.042810771963644,41.0394521614227,43.55024511833788,45.48599835590571,47.876459546146364,50.71366329787359,52.319393179050415,53.26354077131419,57.010652101888496,59.334035172650026,58.50340194340209,61.05878939906499,63.89620526417436,61.60035504513562,58.07431337658777,57.27122331888079,54.71300918577151,56.76281597984842,56.17283279578471,55.541456980124856,54.65429902118215,51.9293956557243,56.25916478732996,58.248077185858826,59.14708954335918,59.85743257523545,55.610715684272485,61.01121692427484,64.2732088044175,62.256540190977105,64.77586612953075,63.3220312839097,68.51908892112239,68.38292279145683,69.54077734065518,69.31798432168677,66.89922555713234,66.15685219691693,63.5248473623936,63.01888452145385,62.75423727992556,58.20289195343511,57.844042693120194,54.65640354296705,52.02731660485109,52.828834823229904,49.73996866242508,47.57954374806718,48.56311269777507,48.300473328024324,43.91678933731405,43.78433772981837,45.250892195685545,43.343658866447086,39.099476617493266,40.0896824215206,40.10537425628865,36.19531617202647,35.40118441434484,37.80089442224049,40.50146774144225,41.96616842224947,47.10081980215632,47.00254878460717,47.58781795043788,52.86407064631474,53.00875957239964,57.49580945915198,58.09095708213274,57.78419223384921,60.108452770706165,58.362578325075674,63.376178530274004,62.43966539218809,57.99017620132225,61.14976255948605,65.15553845626174,61.8782442926838,60.44027665153325,64.34740172371713,64.70898774615914,60.50068882930614,60.81648995445226,56.31137579383764,57.496692799187734,59.13806527622589,56.122950283470615,56.63819065779426,56.38622494398383,54.162918011719604,52.59256396986263,51.314395550683884,49.808087341757364,47.436321471140985,46.512389891055825,44.93415574286128,41.970676487282965,41.264954161840485,44.034284761801956,41.378629213872436,37.33814078889048,40.53922452422379,43.33247631558303,45.17190958186136,48.66648216530337,49.82596008322255,53.82742466539089,51.33804358586634,48.31523569921683,53.154160490277555,54.186942714619136,51.3053500327574,52.57655071930365,57.802776925599225,56.053426791250715,52.74125727461117,56.491803213869304,60.013154804018676,57.518914559834,54.92172858257368,50.67312326345002,54.11567593259319,50.10483047138221,48.52479955700567,44.41440490710077,44.10205609623143,39.72876130566483,40.85830915265461,43.92165362890529,47.55035519915565,48.445436220868736,49.102066231945834,46.344292822660805,49.32900536626967,46.337316538316806,42.39885819992838,42.82644990283131,41.41559444254422,40.251764282142105,39.07921643724171,36.84942221836456,34.60981299048638,34.77566331688493,32.728668578184035,30.543684735004227,27.759062664921203,28.732516806406064,28.393185295714986,29.20994544325134],[35.33010609995193,36.9162246575926,39.54594714792594,38.566667572170225,42.71930310411745,36.574689579439195,38.03363224757059,37.519671636333946,34.323307184234245,36.91829030909758,35.47125409789848,35.88514736353843,40.481527274555965,38.33128999693168,40.15710093490654,42.799211855215304,44.917347274902845,47.94666364018479,51.30529387374998,54.329202702984524,57.297484495652185,61.251893283322154,62.42505226038481,63.058789104637754,60.92310511316902,56.509031183949624,55.21290454854639,51.14591449216803,49.65744854741467,47.7977683734166,46.3681635229133,46.4251974277406,46.59697118105648,50.52864468532921,51.38154456972829,51.90726600392149,51.9460269609244,55.26708486268779,56.85685093947547,62.88136059277413,61.78867027881502,59.98553256422474,63.969660345819335,65.49948394380195,68.6415657065134,70.06580250847112,73.49028677112781,70.46504583707427,68.28844428615933,73.83580852556128,73.82902379017622,74.04255358640876,73.8703613146199,69.13013899013079,68.56962143448771,72.33799739809015,71.6104003127545,66.5410009030218,68.4401132922235,72.6275965624684,67.94714560418697,66.18142137826062,62.59228713345006,64.14584165175368,64.15735836122275,60.61236772017322,56.74597336426262,52.6701914732827,50.192004733567096,46.04618560513375,45.89099420553135,45.68044220500922,46.92955667685599,51.77529499263034,50.64239079210213,55.043070205559886,57.01614439535888,57.71355437712353,59.05328484262775,62.265449830430946,60.70631160382907,62.74395189389932,59.793364457791775,62.43501358240806,61.18120631968943,57.839143741666355,58.62944033828671,56.8091633720621,56.017069766158244,55.15449766512834,52.36490678621049,52.444531433979726,48.53768843667133,46.014857932067095,43.06891254505645,40.2865421275966,38.10834343261106,41.19206163607009,39.831168335995024,39.27092227571828,44.86562004010238,45.59426774212336,49.67244824361776,49.633919228929535,55.16991594253533,51.8378105403197,54.352640021995306,55.302740709207775,51.54369292310762,49.62808054205082,45.997877262684646,46.949043150503236,42.67370040474531,45.209185910235256,43.34965357284845,45.53082499383407,47.172569262601776,50.1420777206318,50.972089897881276,47.46749454863675,45.12018843611875,42.4666285475315,43.767159402704095,42.20855901130176,40.33760290017028,44.904857460676105,43.73748266701786,47.54309635869016,50.18240344773924,53.891533428786836,55.55760614837126,58.837226294845806,60.745297767674714,59.332458101930655,57.81640343741662,53.69990968895484,54.25400824632638,52.26581907533161,51.259066941021736,51.75685431097066,52.77689287968049,56.55584284383938,54.486190355036506,52.34053438082205,54.971336433291526,51.660226493921634,49.56147622577193,47.031716904897706,46.619086252341894,42.23897018838999,42.53828878433019,38.14614506085336,40.04493200769388,34.63642255061756,35.95082929896571,40.12022337778552,41.140323418628306,44.03660510491359,45.65313996875012,48.608625553608114,51.5070437035188,52.63178831093911,53.927936525798415,57.47398302000672,60.15440339377461,59.61080890155278,62.32449409786397,65.27110091255537,63.25011299664837,59.61278498561375,58.78302064037688,55.94236286944467,57.75490002036242,56.97645274615097,56.06390365783498,55.0961182679479,52.032134765096686,56.32906378845376,58.47743202333948,59.599692733767455,60.55836841615457,56.574513322352274,62.125795162419415,65.43063212483435,63.34559971273261,65.46872465876442,63.73154787491199,69.03914021817295,69.02080996779966,70.38216324085808,70.39681673643037,68.05682075831686,67.61993199309046,65.15726130433156,64.83717805631692,64.852741820235,60.3895309343621,60.17806152746913,57.23611115477129,54.386801294720065,55.51859035369291,52.22613760225676,50.018642707458206,51.43237657323789,51.238795569375384,46.707449461225615,46.83217383721903,48.52215050802833,46.48528280186313,42.278028085330796,43.57074854746725,43.70886430001827,39.59079607483691,38.99911874678076,41.72541098414799,44.32506387289308,45.94896755132983,51.030039273662744,50.72525237467842,51.410585131529494,56.65826758422245,56.90991979359335,61.251282427112756,61.612970482455445,61.1037200082285,63.217099242082355,61.19933363830726,66.26531381707376,65.6108212200381,61.022101458576955,63.94933388412951,68.17129621259281,64.9914067361362,63.31629347156288,67.09387784404304,67.76866058578479,63.59551930583321,63.469416004959946,59.12450991915761,59.89102708840753,61.63669538464474,58.75316927226996,58.98505119400275,58.78465969708259,56.249805727736046,54.936602167023125,53.88973495034195,52.04314775586917,49.64766210475909,49.154204881484766,47.55295219639755,44.486819052068334,44.08977084275209,47.064931058385014,44.347020690447465,40.38571829680165,43.91948679245265,46.76346097364161,48.629711385113666,51.93920363655471,52.84285653374391,56.97778139666554,54.80320072475908,51.64236119877744,56.33197821874335,57.66630158034934,54.85503145411674,55.851162066553634,61.21561443571349,59.751320312450524,56.26501834699056,59.80423246042301,63.57402456419836,61.25805101887708,58.54255216536767,54.22798477996354,57.874442863698704,53.83646615234897,52.44962925464624,48.12888783907138,47.623757741076794,43.07667531564437,44.307457197013946,47.22153619318467,50.90955095405763,51.5421415878538,52.16091365436856,49.01690596065664,51.782079120726536,48.48341496423952,44.87584019411585,45.009344539932826,43.69965850165159,42.040021907312415,41.19951110650432,39.38999300375865,36.74757830265705,36.59364268183082,35.2659122605907,33.07720931606757,29.954054635221926,30.4682228544898,30.028816335074684,30.88835879503284],[35.298827368135704,36.541947856990795,38.851103401977234,37.39374790624154,41.31921494908465,35.086150117926984,36.11770988067331,35.55611962932184,32.02275972783175,34.22208717261312,32.54515399106145,33.117966482771905,37.60544932449595,35.242194976073705,36.85972033610365,39.61981172877062,41.75373191477213,44.55936535375704,47.81381521805244,50.921110472966,53.76386689375059,57.76977883042479,58.8568393104013,59.56465822347067,57.54723611791508,53.13349313174501,51.99817327359876,48.000823251912855,46.46801142145847,44.73327051854059,42.95489901741269,43.34927169384673,43.42098825345136,47.18061176694034,48.15493476386319,48.61296536185605,48.91750570051925,52.13236560518356,53.83468983513538,59.90680392571696,58.7360248986032,56.71291195564688,60.6597975323429,62.34915287213851,65.4814536828238,67.06272838003237,70.40320138327559,67.32245293779216,65.33877880193526,70.93163322946184,70.806670951461,71.13753059553987,70.84994190692373,66.01923491910257,65.52876159466113,69.16869362677829,68.33493824469942,63.26243512413498,65.12189089178578,69.22795168283119,64.47968205706051,62.571233011206964,58.97575542701886,60.40669329069157,60.55287117484022,57.080754408534965,53.08141855750619,49.063197000957146,46.51430557904991,42.37482465630978,42.18193608203792,41.813243412571495,43.083417826942664,47.92818069844332,46.924291299557964,51.255482240940175,53.3948632780704,54.131512803329024,55.59995858917178,58.884268410624415,57.53700970445896,59.70066852886382,56.97368347386304,59.708635620191814,58.39609519155683,54.9235490972374,55.46649415663358,53.713044328385735,52.655240196228924,51.76140513580364,48.82463391131462,48.74726823578751,44.89615960688007,42.515898291456715,39.65460084550122,36.762971193107866,34.6875674930362,38.057692446598374,36.951229783362756,36.788340812960264,42.165554310698916,43.35569994130012,47.15555144809682,47.50669093285828,53.07926164930179,49.93005176323117,52.72895050567538,53.723979894959534,50.106204075359095,48.06657614969833,44.42112611716273,44.95368941554011,40.535357130182405,42.85010757988612,40.62860589570446,42.78816246293971,44.176365233478336,47.06166667237459,47.638998387305946,44.14214739465007,41.84566788197563,39.346237569152876,40.87661844653256,39.53779075888403,37.937514931547845,42.69630218504783,42.00268447370286,45.65138396807693,48.46041231080558,52.03949189539457,53.956373712431535,57.29497493605413,58.95742687572549,57.44088055071609,55.84206906670663,51.62500467896687,52.447875973631035,50.15898225919804,48.9625178247978,49.26136978227956,50.072368115978,53.692754978238696,51.50233136335373,49.49352606004786,52.045556985386796,48.742142672501494,46.77927110065861,44.33781350643965,44.18436966466333,39.89062510152052,40.53775788679571,36.097508426826316,38.25047222865681,32.98483602408284,33.810729301229564,37.89659688708411,38.694928845670546,41.840557426802974,43.09804061573007,46.371195984169624,49.118246391991526,49.9067612079175,51.285956633078264,54.74482685897656,57.58122070240517,57.143691562712746,60.01646822150962,62.97815838519089,61.17635208856904,57.445413055946666,56.658518000767394,53.62931258301974,55.36324262693058,54.54866506588189,53.52988214562232,52.64864694185312,49.36950695173041,53.763927379638375,55.84077735205086,57.155066497787146,58.107664002282384,54.39513751928907,59.992069822676676,63.26869070998868,61.07306002533591,62.9079425420669,60.962021888834585,66.31688116375528,66.26942490240648,67.81363675654976,67.97523665639633,65.7427774013459,65.50644992090338,63.19393245430335,63.05598534250207,63.302461503348106,58.89733756296482,58.901576065675165,56.17983018626828,53.25112674192523,54.75166214033588,51.403669909270185,49.03202644488413,50.75404067991367,50.79800216276735,46.13277729446033,46.258039588205584,48.28836547180838,46.38929302684004,42.02022312535585,43.53824624205001,43.97367047424879,39.70722143643256,39.080251022423,42.19364251020332,44.57438824186462,46.574702764212546,51.321606916020464,50.90503315107228,51.851540943251614,57.08165687137825,57.639316017938384,61.731229761607786,61.98155508302766,61.193142483417084,63.16510679146202,60.870300859616506,65.93047370204198,65.46726960627757,60.63304934383235,63.379522859053395,67.72435992807927,64.5419098411729,62.629882647209485,66.26543256877964,67.13802098963366,62.972884849458254,62.42678040732703,58.31020473085729,58.834856369613405,60.762600894687196,58.12257934747945,58.2512943782499,58.29905769278583,55.45678897147183,54.17065445281989,53.52983925720214,51.53508798220207,48.908941844395486,48.73374848019111,47.371656260796165,44.242897027591475,43.888747050353274,47.20901429569046,44.629150568177096,40.58096732871302,44.30497506685943,47.33868485066744,49.030573194373055,52.21358084316423,52.78317047068451,57.03210047999839,55.12584094133763,51.64994531146958,56.190336711898084,57.77288781617081,54.95921849986107,55.58278256181432,61.12034077072698,59.86865514949636,56.111737404853336,59.427958719036994,63.46143230685247,61.266078605575494,58.376058999301065,53.96648789898138,57.774044785778095,53.68073858595235,52.600844449874494,48.024702587610655,47.41289212799909,42.717701811017555,43.91951326931124,46.66679722375383,50.37352461063052,50.76533988302617,51.45971113480534,47.98931456814174,50.621090238579306,47.046601030324155,43.85882861371996,43.92553133887617,42.87604753843469,40.836399136486634,40.011010584096404,38.69821002360715,35.892252254295755,35.23232018543582,34.416963624032114,32.51773705577974,29.292237600081044,29.492727540755286,29.199157663151656,30.262917280271154],[36.45458621367387,37.85356076754103,40.04949937287012,39.3797430604316,42.980397407537765,36.58272601215494,37.749562852046466,36.64240796330415,33.577516450967885,36.21840979042133,34.431403670119316,34.32297718470147,39.28988702383517,37.546879803964195,38.86004263159761,41.3377984407965,43.91156261227356,46.82565456026777,50.51526642600937,53.263283425909506,56.34670862852955,60.19253325651576,61.59146651228312,62.48981259921175,60.24370903859981,55.912494681332966,54.46500003671624,50.413293532316864,48.52883035339228,46.34087761189419,44.642966556192476,44.45654915204877,44.25698735521574,48.21355164949307,49.326199196657655,50.23144330217342,50.185736870700865,53.960059725915926,55.752171296327376,61.60732149945574,60.9607808101551,58.97634789444022,62.783500033348474,64.3878082466086,67.72828957733397,69.263320126661,72.56174154136916,69.31462802773589,67.23582865088514,72.73499583825146,72.44260126655465,72.51636459690893,72.18212204917663,67.6457102343585,66.74467778293617,70.45523048490891,69.98641802149713,64.85648574628607,66.47805894544896,70.8163403559451,66.38331162435219,64.50018666243567,60.78167138038362,62.63664991464603,62.79665902784204,59.13999499848819,55.55369042690153,51.34147833820135,49.25790009110826,44.961131357374775,45.13389930940776,44.95328826988729,45.748836048878005,50.583762986629466,49.08929982002368,53.16978291428475,55.2229813447592,55.552366009169916,57.01462594898546,60.34827095041725,58.71202580706592,60.983301213055235,57.891897320345336,60.75255747349243,59.81767262433207,56.29024628515177,57.07283328152862,54.862474553923285,54.27063733486011,52.935481196545,50.358572139771034,50.295327311452816,46.39697643584495,43.746905401589736,41.099756174674894,38.2028681643923,36.379705453586936,39.010453459681855,37.73577313458288,36.78326681146434,42.62026146722867,43.43334415094246,47.67386189078186,47.85202480973388,53.5789879375689,50.554471430247055,53.08457350788155,54.38157013611464,50.8385161546392,48.572762998280105,45.28581274582661,46.17781035882518,41.986185290208,44.74216919868172,42.78927652719241,45.3034647902299,46.76818061742882,50.095451101750044,50.67473569873085,46.854241371073336,44.80631259229182,42.14237396321558,43.870046913224606,42.21440393804688,40.263708205969415,44.86441325773026,43.56522315581385,47.20738112564903,49.74963459258602,53.15524164403923,55.26228501887199,58.278061799788,60.256434274557066,58.467126647925255,57.38392510398456,53.3575962744748,54.351708205657424,52.418093337451005,51.528541321950634,51.69322706060701,52.98818977803455,56.65010611730038,54.29602672019344,52.06145759926785,54.36434389423811,50.8306305451216,48.90772097339404,46.07902903374128,45.57337328931138,41.178294173608855,41.26414836402039,36.63483780403829,38.052960223791956,32.44625771402144,33.642864644637825,37.954602909382125,39.33229390124334,42.32650690085623,44.04500659271685,47.28098707576537,50.563003658580605,51.52110077745099,53.33773761368281,56.605138609351094,59.619422789271646,59.53436228968863,62.08170193598808,65.26048333394964,63.341523930884165,59.76994396017881,58.70944800481312,55.7401876954561,57.137957775832206,56.04824896570581,54.843465621122576,53.56736971091218,50.41548072246351,54.418191442183726,56.923924784905054,58.02045312924657,59.42283550315529,55.41291147390951,61.079860905777984,64.48881617432788,62.54714403580401,64.52131576367695,62.76901224556471,68.1200274199854,68.47950743860252,69.73974802700009,69.90074577968966,67.46661820209737,67.22429913749312,64.81357423996837,64.4854679435231,64.63065558112235,60.32429660830551,59.9760786260899,57.2098006744639,54.048545210483326,55.215304841941254,51.64429308016401,49.65473536817993,51.44589394978513,51.004919774788846,46.45583824054791,47.18758572428772,48.75391373628767,46.260320710144626,42.468617622285166,44.082655218687904,44.036951803261324,39.759407148696006,39.74690797241917,42.60278105272758,45.254140050322015,46.63996146594998,52.06781863526485,51.35680909837331,51.87693256018604,57.01424536393051,57.139781064114146,61.40573249550469,61.395890193794976,60.806022789082384,62.658792962647254,60.48737211281307,65.61093412201045,65.26335627703847,60.77791876700919,63.45735724905598,67.9032069154466,64.98171529584839,63.18713037021061,66.88460894895918,67.93698931104113,63.89022366544052,63.50827348863657,59.14343894143413,59.39729969981743,61.03064913961882,58.07739201760073,57.933701757610535,57.5347982985395,54.876440672920786,53.97165045175507,52.8440177771465,50.64197925326528,48.50187087494399,48.35924182095027,46.484646816765775,43.37105028147066,43.44693587109692,46.35712417015205,43.457584089737786,39.782677620031876,43.639760170283665,46.34983224804548,48.40279687207342,51.454318005326016,52.23954330582035,56.440493961190235,54.59428339915523,51.57589173374495,56.09231693260292,57.71545242899517,55.104279924878824,56.02758831543378,61.37110389396678,60.29159667629392,56.8857601793043,60.23176725997008,64.12440290230168,62.128167715446416,59.47821446589166,55.2620780961418,59.19716081313188,55.33614871338445,53.82079614405155,49.49028170229047,48.54539155421233,43.92984979898359,45.62140244372175,48.368925062897205,52.13727500524181,52.498769946517044,52.73292678189831,49.34229158846325,51.77114262941082,48.41544849990596,44.77217211146805,44.39409948012328,42.90195607811898,40.9639355120617,40.74383764346959,38.99373537257904,35.92311331970701,35.99326542004108,35.29196927532873,32.68519201163788,29.238313036912345,29.382849033161236,28.65264283220179,29.349564162840668],[32.42624152530072,34.013928161591956,36.47187971512094,36.0431672761733,39.90964370826342,33.66653166142569,35.259544600195255,34.438161516351556,31.630188642707534,34.637625492305915,33.27530487122295,33.27360465651768,38.11994603102942,36.45772388956968,38.29001045566168,40.68296057055548,42.98501198126863,46.25511238526925,49.951594413627205,52.67573706225851,55.90036158433136,59.70153429946834,61.14674487864258,61.83370863386014,59.437508836621895,55.0873816127589,53.46343911703554,49.323292496782436,47.675161945365815,45.50978941850986,44.4736765558916,43.985433735808606,44.222814086436784,48.3877085811605,49.098096201945175,49.82580776186687,49.48230141918252,53.10722935998652,54.65000272903566,60.51983586878384,59.76394338320968,58.15153263323455,62.086017584872685,63.433823459415024,66.69346540625678,67.98248478764388,71.43578161461286,68.36159300652866,66.00008263922446,71.46326340275185,71.45545384257338,71.47003708707143,71.37026149752161,66.83865597686167,66.06219416250663,69.96580450677325,69.47120317031862,64.39559343440506,66.26000031769777,70.6022414271499,66.1212070984343,64.5577702673424,60.94989249682628,62.83607422734019,62.65249205576708,58.94541673689343,55.447549847596456,51.21525877597284,49.07791294906968,44.85362099365573,44.960248378879875,45.10755185202812,46.03833482878865,50.863373183144795,49.31191132339737,53.75642193452589,55.40373727554197,55.95372313669656,57.086114230322146,60.202347585930106,58.323667946005756,60.265308048863886,57.014445395385316,59.62100019431234,58.56362077002,55.298214555745375,56.38943640354194,54.355928934952914,53.99505366065618,53.07418718312385,50.57700021349811,50.939337812567835,46.94171982757771,44.15892029481629,41.13144550657983,38.53674151398469,36.28046182695976,38.819731492890575,37.16306474343339,36.10862565683289,41.929074951662564,42.217122555903664,46.58131579608903,46.252687885305924,51.81088366249614,48.46756069035407,50.77549819288511,51.85873180001921,48.123400851484845,46.11395608949493,42.67982258621277,43.918091815517414,39.82537057645536,42.68927335645906,41.15003226890024,43.571807624453065,45.38457568880383,48.7270090531563,49.71345105646439,45.98302877290468,43.77793683713257,40.91297198956237,42.242854888591914,40.35323675538295,38.14368347962484,42.5335587769975,40.8721266258568,44.68676685033215,47.1262304934467,50.75031641172993,52.4882344137613,55.55993199271814,57.68694844325744,56.14123329258828,54.9460630245338,50.97931910427776,51.61076749613713,49.92516765360573,49.193356372576424,49.633452825001285,51.0957379639397,54.95215586149398,52.81651969369839,50.44602984534847,52.94164139381639,49.4941515178519,47.35060791753143,44.56025912776974,43.835782099926185,39.382709326460876,39.27423203966456,34.84351086689195,36.37323626776163,30.845870220875966,32.517880842380485,36.75827339280222,38.07506484799498,40.75969595025552,42.74242790399996,45.502011074215176,48.71786763612777,50.09190119436346,51.59114352579352,55.056211961467824,57.768207520729284,57.43216632915753,59.86658877213846,62.96244497360258,60.81776754087311,57.31906992296203,56.28089122454023,53.52864585850421,55.14120575462144,54.219837848372826,53.26390792329273,52.07925997625912,49.20390766648591,53.288239369739195,55.62869989809554,56.548708491028286,57.70867563779243,53.473506343790085,59.032675382822966,62.41023730574418,60.50420912876974,62.81542648373848,61.29350745727541,66.56640381559492,66.81043869185986,67.90926338692998,67.8695333364375,65.37266184488988,64.87544946429568,62.323217367115916,61.85287944035012,61.78275477899897,57.38751507022305,56.941646201098116,53.979974886499846,50.98299590458323,51.927045937770906,48.50588210307651,46.51442414491683,47.99461805753486,47.53200293545697,43.054382895640295,43.57722223097182,45.02058104518405,42.641965367666046,38.761239816639495,40.182006610045505,40.084662488717555,35.910617573273925,35.741642512920684,38.431752072908644,41.14400560843995,42.47444062003811,47.92203836884932,47.34417766954898,47.83062977884428,53.01230492646228,53.11182101510003,57.46541432941811,57.633097863801964,57.15807509160276,59.17855014295114,57.18345173135824,62.28167070433931,61.71807430906488,57.286310124696186,60.15073929731863,64.44567549784658,61.425255019825954,59.78765821622061,63.591461861028144,64.40688862756984,60.315870611126165,60.24531862415905,55.75794599480502,56.343181916836926,57.925523725267254,54.88534173640309,54.98289150348023,54.58985175617991,52.14251231927084,50.991975407513586,49.7299332201439,47.80094634196123,45.61226983306859,45.135961909235654,43.318820536586664,40.25654041583133,40.05960338466057,42.88693187833673,40.04859096799225,36.24042047337689,39.89135919314024,42.623118984260266,44.63026514261032,47.83721136007653,48.78226123099582,52.914352671952635,50.83778740480626,47.85596020511732,52.49812972773572,53.91820512461554,51.23520440853454,52.32666879751119,57.607708721568194,56.32626150449709,53.00565934462531,56.50159112868966,60.24519604975624,58.121942138919934,55.532002836840846,51.34388745944666,55.163611048792674,51.312762722863454,49.67638513355421,45.453971611849035,44.62431073933647,40.096147146580556,41.732762619908385,44.5846038010006,48.330833311854946,48.86536262899149,49.13282056479579,45.99578865191647,48.60548250970549,45.45670621664704,41.55719358917292,41.42509124547032,39.87476135769058,38.301027537806206,37.777194898224316,35.718780808082236,32.93933859665758,33.213909630919176,31.95064005136745,29.35260842421319,26.111678366049,26.628040990584747,26.008895020834647,26.722557939260103],[29.974315118388166,31.272406841992918,33.58983008282696,32.56146817419976,36.46374541427258,30.222317125033047,31.59648631839714,31.039287266156283,27.8837743147756,30.620370758530836,29.304353112935054,29.698706959226158,34.26991758570559,32.28471337699043,34.30637192624015,36.84159576820274,38.899555775935355,42.147355408996034,45.655785838375614,48.53512874877734,51.668812049367745,55.53641661926922,56.85409720162906,57.44588182058983,55.12912353966055,50.74192369393022,49.24282499975614,45.12027775307917,43.64689983667888,41.7210653213857,40.70767051242123,40.51372076114934,40.97236794971041,45.048912311069216,45.61554841773309,46.067031503199416,45.89909821574638,49.20522082360226,50.69696271843612,56.688451848268066,55.662278071416615,54.03433118046794,58.04534031383094,59.42670502812226,62.58531464461626,63.903018972263524,67.37755247093475,64.38282770758387,62.07153057928872,67.59208606905527,67.66893830176008,67.83160545414232,67.76050592759753,63.0546454642179,62.51925838573183,66.39407179424883,65.6926422603367,60.64967563506652,62.67356558265704,66.8895934147695,62.234697311450965,60.70600422341028,57.177799255577035,58.86608472561148,58.61731127287814,54.986965923953136,51.31267165834685,47.16350271478136,44.8191313775236,40.67193354981211,40.62523759253392,40.783126843458575,41.9132265886742,46.735678546815215,45.38257393345518,50.02891381618042,51.62452469255829,52.4345331410806,53.5060404215965,56.561500865334324,54.822300561314336,56.6792992931604,53.64433429524563,56.176031856912125,54.892672852129266,51.652255470872525,52.61738141283941,50.86017354600428,50.25461085907068,49.64394861599858,46.96100589860859,47.41439819771019,43.42059895893817,40.75728980277312,37.533236866409304,35.007346733074975,32.52726858951583,35.47476499866124,33.882446634134695,33.36999681783457,38.862461019036566,39.42065105208198,43.46892464439593,43.2941192789064,48.769987200340466,45.38922955939076,47.943107501079176,48.87115701497272,45.13946186596481,43.20508922996542,39.55702285215969,40.46994287051041,36.20646250813299,38.80751244508197,37.07241585717815,39.34143631294151,41.09946406518791,44.26905415749261,45.25773044295767,41.653472762344656,39.34157544779391,36.53143748062785,37.80593524927294,36.06126395476856,34.041368226596084,38.56696227076493,37.33160315303842,41.106379179470586,43.74311640581009,47.42124853143814,49.15962619530224,52.42105500512821,54.30230009659247,52.85844618771399,51.373997456431425,47.27562217989021,47.928034817288584,45.98094732466761,45.064851394957685,45.50293132623026,46.73836767459457,50.56465037120312,48.466098339708715,46.194609405123806,48.79348378540439,45.45061592748913,43.29532621378181,40.70125914522368,40.19871612791338,35.804298287565686,36.0908967588258,31.754710553167374,33.825925647935485,28.569502296732846,29.90155698437533,33.97219474772339,34.87731126041411,37.690942633593906,39.34686643300552,42.17510864977651,45.070435136380105,46.30806024524023,47.60052560976483,51.15182317620183,53.808427028674444,53.342836453554284,55.962090433157876,58.976274838523686,56.94711012720282,53.344985831835174,52.43130026624228,49.589084659019484,51.33968141314365,50.547039620030276,49.6718432757757,48.72516374921761,45.75062229759977,50.090616787668516,52.16128070201287,53.232467896659294,54.13533450651903,50.112192543392524,55.653143097285835,58.958185050269705,56.890328571754004,59.07345507094458,57.42026788190239,62.70785573246615,62.75257184698475,64.01856416087708,64.0128279926659,61.63395416472554,61.19543228997089,58.733025360503326,58.41653107076108,58.4846720222547,54.05973305988966,53.872370268594935,51.02936605033167,48.1014156553058,49.39695266094455,46.05967970633821,43.782077132347396,45.38927950678023,45.30164691980192,40.68146755811108,40.90729634374487,42.77686847669033,40.78313940962805,36.49781838824546,38.019118137238934,38.35471236609901,34.08219774133079,33.590520853543865,36.67990950670238,39.115916896775545,41.00291998703915,45.90619710788618,45.3785778452154,46.246914676529684,51.46417253081747,51.997695598573,56.086172825734685,56.31660663671794,55.5606072932616,57.563565697273084,55.34539399916782,60.40792074475119,59.886916286985226,55.13000107085665,57.93578815233191,62.2469072008171,59.09134671676396,57.26494701909542,60.967477084197746,61.804090954122906,57.65858948577527,57.289184158724204,53.028010525960376,53.63004578225066,55.45429012537329,52.6998920728533,52.9032712762785,52.895301541922,50.19207262203165,48.8235721081303,48.04756786934027,46.17317121458881,43.57375838072394,43.23439397992385,41.85094625204881,38.74512046112404,38.312214000108,41.58234160235401,39.023082494734105,34.938703295980986,38.630914867309485,41.672030846009584,43.35741987284069,46.557077111796254,47.17953169683813,51.40685903481485,49.461414607611374,46.03661655143069,50.60572466750889,52.15730871728229,49.36922551681457,50.08390019915946,55.571044376535404,54.34293411571792,50.68242324666908,54.031802813594666,58.00784470168956,55.874797747901,53.06563033566028,48.729930932226004,52.61691332067441,48.6387476466459,47.372878814760156,42.86951866575036,42.09417181398932,37.423779482195144,38.858516861995305,41.610244891881315,45.356503846503124,45.75519499475741,46.25179099471085,42.890645451092325,45.53400886914,42.1455233976513,38.648657015225375,38.71608891065774,37.531439987479736,35.72863542744367,34.86676122385299,33.2781779435359,30.55848925022268,30.19532444521801,29.10961211729225,27.031178589804867,23.865559455842632,24.271875348675795,24.033647565627746,25.091429283173905],[29.73159170826716,30.660938625056804,32.25796980164784,31.69501860555906,34.713977879648034,28.173790967468218,29.14210344027307,27.74653378355523,24.86819844249434,27.78507332378764,26.110655240221636,25.73253607734847,30.8154867989507,29.514456163107123,30.974421627963558,33.20751372848452,35.82369658036287,39.05628720355534,43.057443461375165,45.498953187307706,48.865078213493035,52.5390238612432,54.2107692754221,55.09255212716909,52.54699788916939,48.28949373916395,46.48758506623406,42.364154342192585,40.40488720127698,38.007715500827906,36.92484822290822,36.227925906859916,36.384099445792906,40.61019466788441,41.3300084577354,42.23136499160236,41.80904459417341,45.693422978081436,47.372678833992104,53.124425047188694,52.69151002087742,50.95889013382289,54.76486401368697,56.14080283844611,59.545702411877734,60.92408605595791,64.27452804793698,61.0367600640217,58.75737830350894,64.19453178244034,63.98291264703078,63.93609884899832,63.733634805432594,59.30681899356982,58.3593995106479,62.23905535160365,61.87373205732645,56.77224903171621,58.52862380844284,62.950339481342596,58.61726280749138,57.08646908460737,53.43675327692929,55.56847276663447,55.351636776753054,51.53871496054541,48.327663284890356,43.97767731221968,42.2091065102812,37.89294136103876,38.319680279876415,38.71856870179011,39.21644078370725,43.990076844288744,42.06557844371775,46.44566072247217,47.91989816292999,48.33356648581596,49.3974027386334,52.51192750111925,50.5546983018744,52.58952935633909,49.30529347166562,52.040331591519084,51.14621069072196,47.743710789960026,48.822563376632736,46.60161252127741,46.38044964713046,45.321552134850236,42.9787088288594,43.47642846552063,39.441125057097686,36.51831168037705,33.50680282350073,30.995002602769947,28.79409098664954,31.016866136021928,29.356403894197673,28.274090327379188,34.101341439532106,34.60849025311725,38.9103817196251,38.888235352061876,44.58519473786064,41.546110622995904,44.105116944551746,45.45892902202522,42.006030573611035,39.62737953024881,36.428920725844925,37.29606824912999,33.184266365727645,36.130655262856,34.394377346510055,37.1323195201647,38.740097662293095,42.45395900906871,43.226281471722885,39.197081222361696,37.29480601318796,34.39906326385252,36.17259814354828,34.19946633061689,31.986901731709587,36.46544146369791,34.970762545320525,38.51076349054424,40.985446688532235,44.261769545591115,46.55907665140685,49.46219711451383,51.44403491885182,49.528808118223196,48.61797518765347,44.66953624302034,45.888964261277245,44.076796931531696,43.385765846993806,43.39541190543944,45.09959696434046,48.791906978460794,46.356497140657524,43.90966036119582,46.077537908712834,42.44645574386744,40.47812888931651,37.46029193771428,36.75339117925502,32.326037328605466,32.26724602764952,27.63345110087614,29.11577423403136,23.60228365473538,24.870148604674217,29.1293208311123,30.49348211570253,33.36821166559335,35.23731614613841,38.32491015433915,41.73498457232986,42.85977354086979,44.79943233157572,48.003741863896295,51.03860706326716,51.17007204873614,53.50777411399826,56.8272893804293,54.90079814034427,51.42521557225518,50.18328703005406,47.21681566342165,48.41829686471547,47.23208857254715,46.02066936899046,44.68178353397445,41.66754278698357,45.65084143248971,48.14390731772885,49.132004860306864,50.562897740046814,46.45368571066479,52.12605474107231,55.56189229461529,53.69592822569404,55.75721863706595,54.15523623721769,59.4743669894872,60.014460687001254,61.08627814011317,61.229640738399645,58.70885702999856,58.4842265364274,56.07337165262937,55.72756737372048,55.95291805654626,51.74742168016266,51.37810021640042,48.78499793846552,45.44926163329838,46.819350995868675,43.12609981120379,41.120296524740525,43.258481656613434,42.88119700756303,38.23687188689709,39.291251008261426,41.031465403824875,38.47600599269508,34.74746970449405,36.74696108395385,36.90209509591005,32.41968170210781,32.740433870665626,36.06241248726387,38.47848190794891,40.12181302139332,45.35629440432638,44.24766583210378,44.95762245307615,49.988572836246,50.457480447263485,54.34588935059085,54.08060379038534,53.144933700452505,54.78749759298424,52.32089075917764,57.44187623375728,57.33854914383191,52.67014701974538,55.127170733739554,59.72952516572002,56.907546482995556,54.89809371614465,58.47469398603366,59.81838576005759,55.85321872911107,55.109245633711296,50.852949171613766,50.76734927390221,52.46484641832824,49.66347191457073,49.39670314285942,49.21066820813624,46.302156515757815,45.417044494249964,44.63086475597691,42.31145523174436,39.958387182605605,40.11306739056318,38.46589972515246,35.29153218996406,35.45288532803174,38.7349678149372,36.020643100141776,32.27374015497249,36.41711700940763,39.343167439173165,41.18317910558551,44.00436283347235,44.375544485574416,48.7018629154303,47.24974382774132,43.93035616639609,48.220157586099205,50.19451995192696,47.68000748621171,48.21223696281783,53.680784724388495,53.01145762586065,49.427282895477624,52.45643037467043,56.62079008388326,54.95570034093866,52.225419260529996,48.04828254282609,52.336294277644356,48.645716465666766,47.25160360254759,42.739573424837,41.32240212600956,36.589416045851785,38.67865635769376,41.13053996332224,44.95425333707237,44.93837782552605,44.88665544131789,41.177695546076954,43.33059667444332,39.88155095201188,36.36299882357928,35.73229965691028,34.343550108349746,32.14057652334523,32.10907970130109,30.66662849296196,27.356965613207237,27.258489785516847,27.118881990771264,24.514475145755533,20.893414216064564,20.72888139086257,20.15165359388079,21.054233753481636],[28.935483722602825,29.444206096455993,30.721791972556726,29.457439011988996,32.30475180824244,25.756290992338712,26.246935130922612,24.992356176520968,21.611911439842572,24.064505672091,22.23396351579405,22.243065971508713,27.098745706184147,25.438149290421578,26.904527465650144,29.325720255277762,31.805557488087505,34.9184605623363,38.768884833862465,41.36305368168842,44.62098500739606,48.37707618363102,49.928853860712685,50.792108963022535,48.34788448879601,44.051874525324955,42.40908496986018,38.31915243228878,36.43834115563835,34.26555823084204,32.99817523749364,32.70263871998179,32.976814950737,37.064954569251746,37.74069777073014,38.40492215653873,38.256393291558375,41.87013267533562,43.58449745176714,49.46529300527511,48.803487257385264,46.93412902356342,50.78518242977705,52.26965405074488,55.609788348386864,57.0939781712899,60.41570102638399,57.19877384118518,55.05381677537428,60.56178020141875,60.34690554900689,60.46536352978599,60.22352943090387,55.62136639861225,54.87940067320098,58.67817184731052,58.10979530983861,53.019332283510245,54.875298419505405,59.174097122405286,54.672256882589885,53.09391888834382,49.48740708715869,51.42816766625455,51.22597512376853,47.48961396835123,44.082260377437635,39.794960195546224,37.850571344593,33.56078605128478,33.88520507531626,34.24074676057648,34.86186339561575,39.653701638626536,37.906072648576135,42.42762196940735,43.94076549764432,44.567380661575186,45.65153327459052,48.76953192212499,47.019422200963184,49.06521298112677,46.05321427848473,48.7924842858906,47.70149207063427,44.23293693885515,45.0876906024235,43.09600540611925,42.55134981415032,41.70258634150718,39.1362727094967,39.63642153603852,35.608951471238235,32.82821608942365,29.68096025861155,27.15214577771534,24.801853520334376,27.521171559826545,26.050626918919907,25.65995574141674,31.10295354460401,32.111033562384314,36.00168054547613,36.33464201233027,41.99139111510534,39.03702192376579,41.942645985718556,43.206348146820226,39.85234405587094,37.45873303104843,34.11113277475339,34.47264842656961,30.147694557471997,32.77174594241729,30.657666838483543,33.30247159121004,34.72024437549653,38.30909618029439,38.931998931838876,34.95746239720604,33.0180652060945,30.22680233091813,32.133855499778235,30.377893335966466,28.461029810826986,33.162497124107105,32.267452705364555,35.66553945692063,38.378355680516286,41.606351849313086,44.04962031174382,47.11129142683928,48.77635221358896,46.87503046375057,45.71506824813003,41.61936314718217,43.01744895223796,40.85455786855268,39.925066499016516,39.80044591793506,41.24399360126753,44.83150365066553,42.33394612206606,40.02209301641311,42.21299663414723,38.63952004404535,36.74030592932643,33.89518206829101,33.50758971571242,29.167383023025124,29.633067261051213,25.039477258577406,27.116915077848,21.966793750053636,22.590689274532828,26.649688298930485,27.54316582711454,30.6873994356702,32.082111566082546,35.429970327193395,38.52220223804385,39.3473304513575,41.20456343019684,44.42062507936649,47.51798971024859,47.62746685037525,50.18207577408577,53.457743946901495,51.734463217909436,48.1381047175543,47.002452928644736,43.86293514475673,45.10836708717743,43.98658684682726,42.76585603408946,41.64626658439874,38.42433489455861,42.662372416327415,44.92227940706267,46.13300588591481,47.377859128876416,43.57484228994735,49.26183461245389,52.63085961013234,50.58802734199193,52.3982086575887,50.58373667322956,55.94770990002383,56.34132041443908,57.6279320899739,57.87673308243881,55.496162404932626,55.42183884727447,53.15904399018939,53.02265523754667,53.47288154557912,49.28955081547999,49.220149689244494,46.842684338481085,43.52843918609935,45.34460274899823,41.70720502921397,39.41691621377516,41.802926988085986,41.82548353169372,37.05256536996703,37.88342813394582,40.09074600557976,37.91714332202862,33.86169786467151,36.02168901355854,36.63334615640391,32.087736232705836,32.15082673906681,35.87986075131347,37.95818489836566,40.15006585204494,44.77751615686605,43.670342964679215,44.76602511195052,49.76590570401909,50.66925412418146,54.234803693954866,53.97308338559308,52.7193532900642,54.27450908042447,51.533968244930385,56.59481056701049,56.61059154103045,51.61996314348741,53.93308530174965,58.583746539077374,55.67544196950284,53.425043650981,56.844012726325836,58.29383680250714,54.3104189577718,53.14427765441415,49.186718180705675,48.98538957209867,50.94508964579481,48.49169555291916,48.250227522263884,48.47343576301958,45.24011225765852,44.21503300546032,44.00176192409224,41.669336709037,38.910498201095606,39.336896739478,38.15368454232493,34.959992728320884,34.96571423972063,38.69869131873379,36.298197673871606,32.375350006709326,36.55985769893693,39.7496813597777,41.25146973237943,43.97778691222099,43.955008773689975,48.36252865830845,47.13814328939952,43.38646443921445,47.512133913956525,49.67926933737456,47.108581864536475,47.18797362445896,52.847251651132886,52.314746078850064,48.38856140682237,51.185814072462605,55.61432184047112,54.00416593267228,51.055162896392446,46.758931764618204,51.13690793515585,47.35665325033208,46.38281860127227,41.59982603782185,40.1839382183258,35.33020151026287,37.238872431006506,39.50572313347664,43.30455149166838,43.065622370902,43.21270913266394,39.1876523216798,41.27274026545271,37.506135680074145,34.55097373741178,34.02938026127402,33.0793236232545,30.49179482189321,30.22742878215396,29.460857057121224,26.14528695365257,25.227147023005923,25.587813280171147,23.605774688702535,20.081585993473254,19.602289077114367,19.45049980539399,20.724325365986648],[28.006128203259582,28.238222660420888,28.900763796970864,28.275958961415128,30.310010520830648,23.665299377614364,23.944462136547386,21.91589146194549,19.100922224491413,21.950536499322958,20.021540405451034,19.13141818263433,24.457518092072405,23.692038485216276,24.80519784698382,26.772732754549505,29.68601584440911,32.95465514425703,37.28600708896825,39.3723907113488,42.92205858359414,46.41987857287684,48.34766370113537,49.379737429022356,46.642337048988274,42.508549249674765,40.46631741032577,36.36491728509748,34.11932395596468,31.454433787540708,30.52769163503775,29.469970050579832,29.662107464432065,34.01574924612466,34.62158085148671,35.678044415016835,35.06921382528815,39.2091388540141,40.96840606285322,46.57261870516597,46.475081114502075,44.71923664510138,48.40391205798358,49.73271180506401,53.26625872838119,54.66866672068816,57.93487684081302,54.57931249839492,52.31794250014755,57.700488365007566,57.34788200803775,57.21770427522942,56.96936174566384,52.67345869686248,51.568314422340855,55.46684769885115,55.23867662315026,50.13494229389225,51.83570484007221,56.338362239694476,52.160768724480704,50.75748272590915,47.10455753852372,49.50853698338364,49.16046717578172,45.23156166964947,42.38930991332234,37.925668832140424,36.589705229939476,32.23435129678401,33.02120361398243,33.80427484496801,33.82457472166566,38.476276990926515,36.115655150521164,40.49769906937325,41.645228625483995,41.96274311543399,42.84875172217652,45.89399234983104,43.781223296364836,45.823167700772224,42.458847937862195,45.26680361510053,44.52580460627158,41.04707509003715,42.199636235194816,39.814807341786064,39.8271518985763,38.72857303552335,36.60303480829334,37.3860782935808,33.305101810899146,30.190035832287787,27.099754372783398,24.823820014756496,22.581907588239382,24.31022244207333,22.515536990038523,21.36139827404086,27.18294033397059,27.807666692794044,32.05733120827757,32.261211662708206,38.055637350660845,35.29675492966295,38.07322237243178,39.66451470818444,36.5146226045483,33.8009150340658,30.880982099342418,31.39031584656431,27.338144852355434,30.381987818161942,28.554918616920848,31.61502921937656,33.062922968407584,37.180128013544255,37.80918305660078,33.502271295905416,31.94055886994801,28.99237144924442,31.14591776106287,29.037541555068174,26.78809200760644,31.223512447050748,29.841457553572013,33.048737555854146,35.50383983274788,38.4092188142957,41.21336923955332,43.919267489789746,45.76712206771424,43.521117549945544,42.903182984605785,39.02482328085889,40.78963294746552,38.929378934316134,38.335584394270946,37.934035914525026,39.9485538278169,43.473417354198425,40.7835456842237,38.23485914281102,40.065141993388686,36.266459499913736,34.4550400669494,31.194260253629896,30.445734246979608,26.070446830582167,26.014426155310648,21.221796062375642,22.66825817957266,17.27885606589794,18.08558900337313,22.324500498532423,23.726314779676944,26.738844443325874,28.53760580315136,31.875413871962735,35.483053756072394,36.42902645982011,38.783631007526516,41.725286711379894,45.02807092463076,45.603472691198924,47.79106220135383,51.31184714313733,49.57024530488752,46.1652101438709,44.71609010673999,41.5967613478931,42.38573705467124,40.95037698336414,39.51925789557762,38.028419231395596,34.938336112810944,38.81603763737169,41.43690248393033,42.451939321334436,44.12033853444523,40.10557465954559,45.85435850587213,49.33412558680547,47.528072884019565,49.399909077104645,47.77770307568574,53.10928979177401,53.94396044314447,54.934077422136276,55.21857916922872,52.670455082544116,52.66748563797837,50.383242072042144,50.134444398298186,50.61674628040737,46.62416791692349,46.31312496216816,44.09189697620564,40.47386870710375,42.23105178540581,38.33469896513397,36.34168410097778,39.08159824356895,38.79982846794776,34.08745950850415,35.63775263940488,37.62194038261758,34.977616279870794,31.49331219091804,33.992735523437,34.394810832563856,29.7832822047233,30.557962863612456,34.348253601094825,36.40034229369098,38.296272814265315,43.185207402264105,41.61046560961703,42.522315598654785,47.31624910572912,48.13680803721838,51.525639654648515,50.88120530724144,49.52373241046495,50.80519442161736,47.92561454196161,53.010212676026455,53.32006793380283,48.47545351988137,50.53068435803598,55.36823881275866,52.74930113228052,50.41720244424202,53.7553986793119,55.56675412993909,51.75748443474943,50.405276715535635,46.40310176531163,45.69146048253569,47.484482657308085,44.94592303851489,44.35540624788814,44.400953190150155,41.07634288390194,40.42506308633255,40.137585572396475,37.5021102147832,34.98297976122705,35.751716958759104,34.3496772284245,31.143969957059106,31.622511567801098,35.29291142262085,32.81103876426758,29.224844147133958,33.68676772046849,36.732181595176215,38.33451858265057,40.733554644871454,40.53752769569732,44.97432169461784,44.126528081857366,40.532706716986425,44.41128042066122,46.86985711975253,44.54938115269489,44.54193971716583,50.107243594917556,50.007475845144036,46.23513377269064,48.7853734344053,53.282306553657754,52.05802590381118,49.241831803096254,45.15260407388821,49.802270684228276,46.33119671491845,45.1743145645005,40.5092332597311,38.5656599692445,33.775533911230845,36.2528433218732,38.25848407307187,42.070973121302366,41.535930633019625,41.160660830974386,36.976328346171705,38.64166997826413,34.96689168695346,31.878449886347788,30.75692493878373,29.575695253396294,26.763793574792782,27.243834275951404,26.496079668529966,22.75165340144144,22.232363713999874,23.339110618506723,20.87329081988046,17.0885992730926,16.131422380119922,15.698296516320225,16.793513555859167],[29.016988521049438,28.770861077754077,28.96522056671245,27.626895559016326,29.235497108501797,22.69420288803925,22.200525766257382,20.133076758025005,16.742350477618086,18.825165471400172,16.448799408657642,15.805119371215989,20.991793027799954,19.934535812163656,20.71715389838066,22.873764021151292,25.84216558398442,28.85548754276419,33.11735976290406,35.297776697601016,38.732634810570104,42.30326053456236,44.149060205756044,45.266556481960926,42.641483834389085,38.49581973412523,36.62788570211599,32.59639587589708,30.27531825363011,27.773069144548653,26.40241200810996,25.81695897440108,25.96108347303543,30.135845151740877,30.83392135105618,31.74994220009455,31.50539318461706,35.48119729322227,37.38679951584026,43.08994314646866,42.860073274630366,40.83230755057091,44.49974066162553,46.02163007781201,49.54239527974584,51.135955331077845,54.312130089432,50.896114933828876,48.86573208274552,54.319874619788045,53.84845404110676,53.886445962498144,53.513995168491995,49.06011538647999,48.08776674335321,51.849150487536214,51.45087629773284,46.32829047237396,48.03651944390181,52.439238791552334,48.130797356672204,46.58610705240914,42.92475224304688,45.19055166940695,44.94997807369839,41.08168083731584,38.07251424199985,33.63783744033933,32.23331466394363,27.847085399448268,28.64596308656252,29.353675334033152,29.331015306261232,34.0020118611261,31.732434076624234,36.14663256434516,37.421980127507986,37.856872352538055,38.853803919032046,41.97846521701345,40.128573425181465,42.306022579662255,39.25879493904517,42.17482711097446,41.30554663906676,37.652323207970475,38.477406408685844,36.22542813045433,35.863135042518294,34.81265623874472,32.45757974846909,33.146933796381944,29.072893843488785,26.08981199327967,22.964410193788492,20.569850436451485,18.317432129115186,20.5441726593739,19.106541504878496,18.798601144646394,24.16772037740446,25.58754634223386,29.309959263474965,30.12890494651174,35.91757378486789,33.42825906133364,36.63253562138965,38.22598166630673,35.31552463630988,32.49003317329425,29.559692301812365,29.365841224084296,25.122038419002592,27.769280775305393,25.380415526167496,28.429466496603542,29.50582034605486,33.5616401287918,33.859465163740154,29.512749718481018,28.05303760170949,25.28997731180544,27.81495163985684,26.00801569891686,24.185462658022743,28.856189820668405,28.250231121106875,31.149888063200684,33.84408528985268,36.53742716691942,39.65386675873866,42.44376217266844,43.905735220464926,41.56093505706732,40.784281111876815,36.77956016075762,38.90810842846027,36.63126528825026,35.775613125553384,35.07798917809434,36.81882400293243,40.12365058109981,37.26173504959838,34.8854024640129,36.59912187925186,32.80004151931435,31.1802239622774,28.04625742039262,27.716605888718252,23.508987350624547,24.097749077886885,19.327699179431566,21.341024209314384,16.537488467100957,16.226887095103326,20.178577228769157,21.06734455846962,24.513641947782318,25.657268208732283,29.49266595524463,32.80732842883283,33.25163742824168,35.710473314635536,38.53779618881061,42.044689924785125,42.756320516885836,45.15804627117159,48.67811816272022,47.239258166943294,43.72435852340464,42.348526338577365,38.98213502612118,39.66865482186866,38.20310325330231,36.64008736326267,35.31799683408008,31.901822577488307,35.98696969693565,38.44691741862312,39.75298105522689,41.35505959346543,37.758918234278056,43.540707300981374,46.95669192016761,44.982315199249236,46.45853113612582,44.54766355573899,49.945430554274004,50.71972989914221,51.95795237170664,52.429952151266484,50.04088254722378,50.296847117495666,48.22879133272193,48.24127154674788,49.03552514149937,45.147239896652415,45.162564231516235,43.270107075410756,39.62931901781957,41.899175747451075,38.04026908341506,35.80908267197351,38.90170019050187,39.01079158385973,34.234160290111504,35.65776652772698,38.092365351872175,35.804122468312805,32.143808598685,34.822993949532595,35.6535014698756,31.058363251980975,31.652410638663106,35.78136379063696,37.46538813764167,39.83415180169795,44.09984861275978,42.481109649754565,43.74304422018324,48.42515992898684,49.64611900799648,52.66427823330084,51.956402596944145,50.26319674564713,51.37716370565883,48.189341350643296,53.1760997671803,53.6900369418847,48.565467706217426,50.37703085363914,55.2851996480762,52.65564946932262,50.045478788366545,53.154223958690615,55.166530728396076,51.39843709186591,49.51241480850137,45.888538669896185,44.907312670820005,46.95629594343938,44.82255982466022,44.15521592074961,44.603254598008306,40.90723641319923,40.23431751990439,40.57782682036429,37.85756213435109,34.996094160432875,36.17249694036713,35.23195977896985,32.062594317032584,32.49416592635625,36.54739625440549,34.397697386299185,30.791163732394796,35.255675195599274,38.47332397957144,39.749608583897746,41.9566788653864,41.32070029835921,45.8001296149491,45.27578418526519,41.31358150800525,44.92261709663265,47.621720133186315,45.31246833158911,44.80610262107836,50.508803826888965,50.6336605862853,46.55799283080603,48.78774473410809,53.551768947304666,52.45758864010204,49.44930780659561,45.29771695103386,50.03851431939811,46.538398138156964,45.81460637275561,40.930436307516466,38.94765400312322,34.108289674686944,36.420614522157614,38.15621966086397,41.89457763830305,41.06492451774529,40.83752067763607,36.29357948113696,37.75606250734879,33.73633497163042,31.382878337150757,30.24853721235696,29.564082116996588,26.248042819910662,26.66060409599031,26.773821615481644,23.019351425570754,21.57239772062678,23.48384933872044,21.73722723308221,18.174038379539407,16.759895822735388,16.684595986976205,18.114270844313012],[28.59655493355775,28.2870806308424,28.179873502743295,27.45060553508209,28.582404444734774,22.04800989720887,21.5748563451654,18.947949942196395,16.203272893832278,18.723128425650557,16.430453514192422,14.966364901474611,20.50635187641552,20.247847009163937,20.820732838885082,22.539676887789643,25.795058524168585,28.959065550918538,33.549216627214975,35.32415680750858,38.97543346776926,42.32638280268447,44.44668538533622,45.65233509268828,42.80755567133951,38.801832536847336,36.617657388300195,32.58801417229668,30.037079811879277,27.13951832462367,26.15544945480608,24.858245553952017,24.95287307714258,29.362075236645204,29.976905410917695,31.219795481990943,30.53798464562325,34.93145465593801,36.82334061607165,42.283399812766326,42.48737644313201,40.61963345764466,44.15988658072322,45.516575063502096,49.16618104139854,50.64961085792891,53.80450883105689,50.31475762927069,48.14873302553064,53.48727913796456,52.95092135664823,52.77285831947754,52.42848859102002,48.23123860699141,46.972270311861784,50.83646783183975,50.72019950496131,45.60211896359005,47.196970696722275,51.7611992396023,47.72250268316825,46.34478968244478,42.66552043738658,45.28668382031815,44.91235688275696,40.90768786876609,38.359136880802495,33.821237424229984,32.88206292901869,28.50834760060402,29.622942806951276,30.644415725458746,30.2124210677386,34.72859449371992,32.01726889978476,36.29563576962506,37.26099901388644,37.44242326753281,38.25928707584398,41.29957249037239,39.124288632756766,41.25903910358624,37.88112984188695,40.81835818520378,40.23467477313043,36.62581823724276,37.74863221126665,35.18082418065381,35.32588976828372,34.087023887607806,32.129783599583675,33.05384490841288,28.96675761797819,25.717095077642796,22.66943607705719,20.545198121996226,18.416766658329028,19.6632480457518,17.873844410213255,16.715504647053123,22.508517968239584,23.44604435506935,27.56975847547528,28.154990972862098,34.04414449523694,31.649951062904474,34.65870961806791,36.48504860632667,33.68124036467759,30.655812586999662,28.06375721870089,28.134382846897594,24.174430013052714,27.201321983671946,25.18684400061276,28.506031583678997,29.686340881271885,34.08648898819936,34.476522560651226,29.95120412573997,28.75328365703282,25.870029240659246,28.433165827501284,26.327220332941124,24.188321679195415,28.547167134729378,27.417025958590308,30.22038218353777,32.65394549133749,35.147430597477694,38.43919126265978,40.947709400671314,42.62344212190703,40.0632645364966,39.71200850004943,35.910581243546225,38.19890620124498,36.24861615160011,35.69619595776457,34.88375784012098,37.07718707424625,40.37592464772965,37.44286192183045,34.872697987038755,36.34774700440558,32.40961568353316,30.817986497324792,27.367798211039112,26.667680809346983,22.428062474697185,22.459897180347355,17.551321233068723,18.90881584932814,13.810766186838027,13.82467120114277,17.996896593500107,19.426017979342625,22.666968324017013,24.273199865335517,27.977990456286168,31.73500157573486,32.38541215108102,35.169859274489426,37.81414527183185,41.402369254061774,42.40290249076531,44.48738434081372,48.16314947205617,46.642395535222,43.30095377955552,41.69698759456792,38.421200475160724,38.80662243925526,37.128521719365125,35.44809686476528,33.814232627812764,30.580341211914515,34.33933071438526,37.10114630965872,38.19275608310738,40.11585292694139,36.276653279514875,42.08207374491107,45.58506027681624,43.82376143805366,45.43543693130105,43.73640917414295,49.081569422147844,50.17360356729687,51.14420960859092,51.59357929913422,49.05260420878347,49.29594139493748,47.16709946062289,47.03894123433731,47.77876367683207,44.01110288961764,43.782534594732,41.93013468525451,38.09956780712091,40.20428965992135,36.173846403713675,34.21645672264435,37.459961103429876,37.27275214430308,32.5845033335497,34.51960696683931,36.68455350165549,34.017311324219996,30.819179144919072,33.658147069246574,34.24930635211044,29.658008574576797,30.751038771055686,34.79535706652561,36.530049328535824,38.5809596921698,43.124414824153455,41.223994220076214,42.27947966723182,46.8258290976119,47.893654061221945,50.86781080070932,49.925195763521316,48.241873989091005,49.20399183583868,45.99867921091952,51.00840333213801,51.675710831299966,46.72926781206897,48.413454169773324,53.41941960839251,50.99484392914492,48.40141593425383,51.49840354093354,53.702374745822574,50.0535930600156,48.172989753164636,44.445031380853486,43.17631352705632,45.045790003102034,42.77080629740761,41.87654847508423,42.110220064366644,38.43720049648645,38.038892718010025,38.19688512995811,35.28814667360638,32.68019889784996,34.015235635773735,32.83250953953422,29.670346271943682,30.445570042797705,34.34579795113802,32.09173238852875,28.760732531954865,33.36628616117484,36.42306837938108,37.824638705982245,39.83658377854543,39.17825456497609,43.647574380848056,43.31040134312727,39.55642907315754,43.03758945092199,45.86747584876642,43.73359152219011,43.2837373242756,48.867162888166106,49.22633030696932,45.34073387627132,47.47097539727181,52.200299814167174,51.33072946405034,48.46732626171254,44.48617178960555,49.35520491284133,46.07970896808006,45.13820446288999,40.416523430699435,38.117056980615544,33.37393550631103,36.0718783066276,37.687929255490054,41.42446227607243,40.47707140354494,39.8687104440063,35.33342437413637,36.54189252359674,32.69083050357078,30.103210584153604,28.547669209086312,27.598371892857006,24.236933789817428,25.22157961840569,25.175398974578965,21.159278716689066,20.2126591897101,22.477354266449016,20.283351708481213,16.5991862228257,14.932919032440719,14.55983138941153,15.780100754879403],[32.17174756590165,31.836155593396224,31.513597764240867,31.01935251803933,31.730455767576565,25.315798846576442,24.55436655802921,21.460656292466023,19.019975410267776,21.18821694358367,18.51164467043155,16.44441589780198,22.109305479711626,22.262420092538335,21.96607458349079,23.455590756824257,27.210052562772137,29.96680990220368,34.732627422730395,36.230758157221594,39.84935424138933,43.070488951173125,45.33184903991053,46.833025469466115,44.0105953498216,40.15562752516305,37.97215109717888,34.10280202860468,31.144214291807554,27.981394611137194,26.389987377667804,24.9824789271924,24.37637771677744,28.67565740041373,29.782367418352194,31.515218804417398,30.895840657793396,35.739409842524296,37.89722224649873,43.094715855184916,43.74134647941545,41.58589782617335,44.85846337839729,46.37196226512276,50.179203000876896,51.83606570951485,54.78386195658914,51.07441008490975,49.135216474656794,54.38214888470902,53.48963350260961,53.2091683936626,52.62641981454578,48.66172320220957,47.03706922368262,50.7391423239774,50.873688354138515,45.72187434789814,46.934405019207105,51.60754258557552,47.84811848527084,46.233270399715984,42.414052734981425,45.27857016408577,45.19740831370265,41.160756973607974,38.86622854651478,34.288915907087265,33.76536910771691,29.329027923799057,30.74806210100028,31.595907755094366,30.69411457590655,35.10992490963824,32.12321176000409,35.847317163570374,37.07019661376735,36.76843604874554,37.85747047524597,41.09592723467513,38.96696426962366,41.458424356898064,38.04363728339372,41.27014607855591,41.061118774967696,37.22143596594944,38.184593429547355,35.16678796990471,35.41932357196381,33.49216415581411,31.751967704759924,32.31302807725229,28.316435761893658,25.010464581746906,22.59279893901528,20.2117861877582,18.88334760838629,19.489915341343476,18.102794044483037,16.4249731745601,22.437023837041213,23.718022857378244,27.889976550246868,28.92994259061692,34.948271749938996,33.049610286305715,36.04703474602579,38.23330324276839,35.7571271993337,32.4234513260408,30.316817345102375,30.238628207104387,26.52116266846506,29.564784415629347,27.39475055395944,30.883498665282037,31.71442767941751,36.2416960776908,36.23927432692428,31.548292659914782,30.719501904571427,28.053193528679632,31.017261991053427,29.03807313574258,27.056780541533257,31.30023346039354,30.214565337665146,32.71715454538175,35.001338135795855,37.08363541387166,40.764735357548744,42.97047533988839,44.640292334355536,41.73397200513208,41.80899860195332,38.16742197362184,40.8392254850592,38.9147254297472,38.41697932468717,37.2883351707005,39.55611856783207,42.60072473262529,39.44036207573094,36.93370208501797,38.01713175537506,33.95330831458444,32.6692223727528,29.050234149825716,28.37388056984371,24.351219897548273,24.209489374326505,19.247953660112344,19.798226493190377,14.702377676252347,14.244348954676354,18.452291930419406,20.357355780035547,23.71175772314314,25.263294155930712,29.346540406135237,33.39783087837564,33.70064993376056,37.01931699736098,39.27006798035871,43.18647510846702,44.619914615911675,46.569853844596,50.38277286464167,49.033169869750616,45.78557710012047,44.03762072535473,40.673860150087336,40.629958677167956,38.65171121194626,36.63709528776144,34.68823283486599,31.32232393080492,34.643784796513025,37.80801197114976,38.92196463343251,41.337847175218684,37.63356235966362,43.4636260340447,47.009461156607024,45.39612857388253,46.73309682409281,44.96334833798647,50.29783517699327,51.73280543021246,52.66001400111156,53.28994289836549,50.73346169883582,51.20993963967282,49.19849708900687,49.100624154420615,49.980912298950926,46.426802105818645,46.1066095017829,44.459114602027874,40.43755065440989,42.52983442109603,38.33273424986732,36.64219920459079,40.12882909445056,39.71620411732747,35.15316485744998,37.5351656987281,39.513224926396404,36.51462683679038,33.78425066392822,36.74201113524196,37.12472266266462,32.57050410971836,34.041282670586504,37.981110380287056,39.76612155078538,41.5375683156274,46.30644831768484,44.19011724997128,45.05816669899783,49.45324294191005,50.34117468903326,53.266496945460176,52.04806299559141,50.35890562044647,51.08482104248845,47.8044364494655,52.79586182405467,53.72506861515126,48.964748192626345,50.40441966450426,55.53678455799691,53.3699906260244,50.721890023137604,53.70073240612124,56.19092775476192,52.69805277760167,50.637331869628134,46.964358921319395,45.25638362377003,46.98803868749128,44.683751589702595,43.42128658314262,43.429986634822896,39.68671143341598,39.75436114458432,39.80766855929182,36.572318557090746,34.331366411989904,35.99833131503962,34.53335533598584,31.421109460574566,32.669253371925834,36.338629762693515,33.93671828691579,31.00966240608891,35.74039111165905,38.56147496184239,40.13911727553975,41.89940157688944,41.19117650924841,45.62359857374803,45.54920797030455,42.04166286710477,45.32135243557666,48.31837244963026,46.38322202720731,45.9302353905092,51.38249737040216,52.00765067062248,48.276604949129165,50.248079083316476,54.973654374775656,54.33187962853171,51.56975440251754,47.72313169138521,52.67595401508958,49.54639190253352,48.509709369082636,43.88854713973327,41.395747499296355,36.73878559544004,39.63140900960472,41.139328334698625,44.84569578907157,43.765390922684034,42.91613237616128,38.31816317038318,39.2133833184034,35.413075498338664,32.90844025715892,30.921473640683192,29.816531167548543,26.280034547839026,27.905293159429903,27.905807092594003,23.678491486854604,23.04059658020947,25.728964158137366,23.264710117167798,19.535012317738268,17.64244803748212,16.870447346414696,17.75075261179428],[32.89123894304734,32.73881877193017,32.88620353581896,31.77537654832831,33.17250446744391,26.646923453072272,25.99615779249326,23.54333751744382,20.35693990160879,22.170040267408794,19.40722928192471,18.280476659839934,23.63189101564908,22.81728798427686,22.789831587485224,24.839759153746183,28.26269887896145,30.84333662888295,35.20537914700745,37.23096271797967,40.572904893846946,44.08724975025822,45.99510554694006,47.392445177260385,44.85790814622742,40.81455911692129,39.031649865815616,35.14308358333391,32.46239262798981,29.76992934775764,27.665533614775246,27.148556436707487,26.575859653316936,30.581925283911605,31.839824551678056,33.188704058249535,33.110320639604474,37.46691480864721,39.64769896302074,45.162787811477685,45.271896677556924,42.9116889690718,46.349157042623006,48.077393238688046,51.73086778093806,53.52520863558919,56.50866446600319,52.88449403183119,51.10572124132475,56.50573198056509,55.69280088269929,55.672969439924984,55.05265490556255,50.76602610105064,49.48268584721466,53.05820969956965,52.853035456251284,47.68255152147731,49.01472110611681,53.49856506712402,49.404154296687125,47.543584548899915,43.72353821481341,46.13817752146672,46.26745500253461,42.401111423291965,39.50168034604861,35.046443905347545,33.922117365477625,29.44603087949149,30.461483330013774,30.845335215871362,30.466738552998365,35.10800424434323,32.69638932953871,36.547150774567676,38.240227477495594,38.223052085565094,39.588465618816585,42.96282354726289,41.24534065303424,43.81026741039732,40.77973267014906,43.990005428693394,43.43683095547169,39.53550579913905,40.13899814898983,37.488545156117716,37.106801771505936,35.36270643715873,33.10921399920215,33.296778880228665,29.317811547356907,26.356217049130237,23.879654093872162,21.080657758316576,19.645111807816367,21.50130528783999,20.521800826140836,19.819303150056022,25.41553202445641,27.203451898381726,30.982640372060487,32.22951397343559,38.168451407213844,36.08518638740389,39.283186225182604,41.18306577915104,38.503810845295696,35.418375007916936,32.853794760158436,32.57362527052718,28.483949066637322,31.151919722396897,28.57182492073766,31.74715944905283,32.48877369504301,36.591664864044226,36.48366128788599,32.00963889473184,30.83784402621769,28.308085732907397,31.205854722318918,29.56350606315673,27.90263316880497,32.53694326382137,31.963785836643705,34.670450829786816,37.261880478188,39.65374271867696,43.0812905043965,45.645187224418336,47.11868052638468,44.488028117058754,44.04686093749319,40.144913997678266,42.56837172341569,40.28450062488044,39.43683752540164,38.49161985876268,40.21921978279027,43.30319745957883,40.242485898215676,37.96127794578957,39.36478664834922,35.45861140179566,34.112068364670385,30.851917173427683,30.578187584096728,26.514922015403446,26.9598041605773,22.06364315275133,23.39466860327226,18.401471650546934,17.809296788558893,21.88812086243564,23.204122987953394,26.79576276303321,27.88794540741985,32.09961251864665,35.668981496655086,35.77924470615497,38.69032963275859,41.1984838277036,45.004484611308385,46.05576037279479,48.393050016177064,52.01802227435057,50.72641673505916,47.26011809003289,45.7872179988341,42.32813583245388,42.68350029305161,40.969616652402536,39.110191050122744,37.52293443016509,33.94500569349264,37.67368793934442,40.49320091960147,41.84971029751907,43.88099744619902,40.4058586891385,46.23212027158973,49.69331742839346,47.82666134368721,49.04472448637421,47.02918142590615,52.43941278327915,53.479708418227695,54.728358293475715,55.36781491264612,52.975533442553484,53.43560296818976,51.46232891784234,51.50210196865189,52.40169525506088,48.65960151814727,48.59037108267175,46.820493813289204,43.0189884421388,45.23406806606002,41.217848830657836,39.21120162793654,42.46125639739051,42.34109785465935,37.63854147729567,39.419193488342394,41.65980995361852,39.03992017276297,35.733760025453165,38.47758376204706,39.07077344615306,34.463904461761224,35.361010339516476,39.36193236089132,41.18034718470705,43.25727452703025,47.8415848944823,46.08654482466582,47.14342423467551,51.76145034413466,52.754400368643495,55.839745332262446,54.930632695990795,53.29729406785759,54.25783959174999,51.050331152769694,56.05512202181719,56.75085700988386,51.8005568543411,53.4606059240195,58.476473748120064,56.039647873034916,53.415827364856,56.468292179311064,58.68177964433622,55.01266344727963,53.04142553784463,49.411108004057276,48.11392872654224,50.034482596754124,47.816051562278474,46.85179706001616,47.049826624968766,43.334008110520585,43.0515898640206,43.20835905261788,40.209421657442746,37.694033251076796,39.08298170517327,37.81354618502968,34.648897358655326,35.479896398224966,39.29722978825165,36.927960585223154,33.618206845911295,38.22006684245188,41.22985424286706,42.736533725508885,44.80487106004545,44.22038693741549,48.68477392391717,48.29725252652633,44.58440548943395,48.10847275556992,50.90148007464795,48.7281733205364,48.309637372591176,53.91379799070987,54.19148193398457,50.2639995530274,52.441913722060214,57.17614770173468,56.211873388691316,53.293253025429266,49.22355609683016,54.009878661388505,50.58402864155743,49.73098201484497,44.9317150045822,42.83865008717018,38.03846144019147,40.49733071756707,42.2213969242798,45.963697332465586,45.08940248461627,44.69092123887783,40.125514341501315,41.391104563236986,37.412057619745184,35.03526341265336,33.5620691200025,32.67648233749869,29.251319552985127,30.18578981750771,30.207098082638552,26.230371664067505,25.145402883416182,27.284797565758346,25.17313582266793,21.44258855172341,19.884867812589246,19.375101147898036,20.485897433547695],[33.037941912542045,33.37678541685008,34.086485732400504,33.40182735523233,35.37998705135735,28.74402722698613,28.76810680571009,26.528817204883207,23.58333380682882,25.948614443898318,23.534432314865683,22.482402994968194,27.89757183283365,27.033955471684735,27.421250945921656,29.478462407577414,32.75379001418523,35.526330267259226,39.83071793689255,41.940344859637094,45.30220858422368,48.8453771470107,50.717380815247914,52.01017545841244,49.46384801458192,45.36567212809669,43.5501250783842,39.58309688861342,37.051312571582464,34.34645228247241,32.503516066734555,31.809128603920314,31.298164468374456,35.37957255775087,36.596429415533756,37.96402534666297,37.713446884130434,42.08672887936453,44.147638068143344,49.67590196531387,49.7472099056416,47.56115845251113,51.066609876538905,52.6918092006895,56.31748449076219,57.987884463180876,61.06126807370951,57.50913549183222,55.57615884875997,60.95908233645607,60.26646254866678,60.167270917570434,59.63886108119471,55.405309363125234,54.0880767000056,57.7443851711562,57.601535753774876,52.440317623526646,53.78813158365124,58.30817312831852,54.24110901469587,52.42413440317527,48.6095011086433,51.01291401534137,51.12013053001301,47.25173562255027,44.31581840915308,39.874507838411816,38.62039227626873,34.16075493636763,35.027896471448635,35.33372478564505,35.17671899215721,39.86387030021527,37.55864047520128,41.40869752579079,43.1300029448498,43.08072086898052,44.43282244485838,47.7802093400297,45.94677808466836,48.4208554764536,45.21046718884928,48.33126769773071,47.801842855746436,44.02909076109245,44.81986060802706,42.14578913518105,41.92037838142823,40.17614946037536,37.98910359830541,38.1471873202729,34.18291524238179,31.21198994466679,28.74425559303738,25.96990061592334,24.463612176756317,26.229181452949614,25.01545380340338,23.815123213633026,29.717096932484836,30.93151186880988,35.08757502783181,35.854412038865924,41.79338257735765,39.42779471274155,42.302832204988526,44.133341919861806,41.18993631472992,38.26071519460355,35.58836763316125,35.85838516910427,31.815287646549244,34.7231969280482,32.49641256861642,35.59657279908162,36.64424801744952,40.67914304217117,40.83321557981754,36.45813660286711,35.07510518375668,32.40851472145593,34.961824839432516,33.15682767278314,31.220711282786645,35.792472170960814,34.70675213928532,37.74241367172171,40.218218147218465,42.88418967863686,45.970923928744014,48.56013276644318,50.325279448003556,47.85222755625693,47.410037679436876,43.53751056979419,45.570948165886065,43.53992789573912,42.80854277274131,42.179310416776694,43.98175556699766,47.283587642743555,44.3994770111672,42.03102435348208,43.641791648818874,39.77229237635011,38.231667926598824,34.95570942554271,34.43095893177539,30.192982523366016,30.248791176779772,25.335506626815516,26.374862721984993,20.9093021467745,21.22503710898804,25.52951610965762,27.14470206976516,30.43484781650943,31.98109799170804,35.80693169670474,39.51145667964309,40.0074313654485,42.71586406942467,45.407512010244155,49.00964782425349,49.828060905650226,52.09674975699273,55.671753399598444,54.12675613467823,50.686292982423225,49.22991496746249,45.95370784860483,46.51823507291227,44.90170499904815,43.19587669989745,41.55167936331722,38.19452332899083,41.85064373603298,44.73335708152616,45.899317752947375,47.895591627448745,44.107516401349365,49.91367723478927,53.41369296202084,51.625243359988254,53.159274822193225,51.32478576057915,56.705725938889195,57.688049349912646,58.8131366514315,59.29092695404147,56.80163340277493,57.03054330125106,54.87514395855322,54.720055307919665,55.346814934558594,51.45621291967805,51.1643491968437,49.06525681026301,45.34618778031034,47.12956052010042,43.130747328476666,41.26054506672642,44.12451851448259,43.72605760144881,39.06165012667197,40.78338736306535,42.68022965676519,39.84362316421254,36.566452218620775,39.065690352194174,39.31550368524018,34.71719100739529,35.60400957526292,39.27025947295528,41.433915327756495,43.1390635912027,48.2395638099711,46.64294006946316,47.41444910471757,52.183306213754626,52.805500682675614,56.2870348527757,55.522207663242646,54.232365269007126,55.40618626877117,52.5147760092068,57.60951375914065,58.05515854425294,53.33046060764118,55.2700643199072,60.184576156916904,57.69170809476734,55.335545053179764,58.61549247753642,60.567644682874395,56.81512507635028,55.36129565235756,51.3992479664799,50.457197449117785,52.19045294392209,49.62220752023545,48.79510481837645,48.652460583326025,45.292195779097135,44.960623702885755,44.55410949711318,41.685124740080575,39.44019239860946,40.39383491913015,38.73645003082657,35.54408306916748,36.329037907426546,39.792773025101766,37.120568599920674,33.78063470161044,38.31199074775042,41.17271804572648,42.97567948344188,45.29129284025585,45.161904255347345,49.577419370133384,48.805090428862925,45.409512694421124,49.238232446619264,51.74287463363323,49.50263990171802,49.564042911784775,55.06635742086965,55.03406764946697,51.347525031587,53.87897724278045,58.356009515041386,57.17513839006711,54.39770671975084,50.32813281701879,54.96474397545053,51.47794478817937,50.27884492318595,45.64597324121018,43.72691611093911,38.94920560386132,41.403269138136565,43.43793650564014,47.24808411012325,46.70899461058546,46.31759482500037,42.09304445293024,43.64505256643793,39.92030633289206,36.93966248166937,35.61810527275193,34.35110965127441,31.40202803178897,32.21987372198171,31.50110596336918,27.62388860385789,27.210532083534268,28.509540726043994,25.903205579841472,22.04550219473661,20.9747128537447,20.21283522059293,21.057797662972177],[32.69427211900186,32.94930718958603,33.87436023209929,32.30725378920095,34.735618115424586,28.198306361341967,28.079378618490207,26.513302710716207,22.858429256745037,24.658029093852637,22.259184413137824,22.161226061059594,27.04476592627419,25.28228104907186,26.009206285177967,28.533249013429813,31.332847122478245,33.957363834185706,37.78436272686436,40.39003179895746,43.47154167376291,47.267394024185585,48.768244206504875,49.88137815711161,47.61205761452744,43.361342983993836,41.93708549744147,37.99066790723203,35.829953283765434,33.66995495068529,31.561626038224826,31.70099351321417,31.459814781756393,35.272095942078884,36.41089062934904,37.24960935632177,37.49959548474609,41.23377981883403,43.24196899256709,49.08295251563374,48.533638065219115,46.22392292993806,49.91373656944349,51.6968836280425,55.112566471432224,56.88282974272182,60.00789607508806,56.60615374659253,54.809755440967656,60.34033979703434,59.80446271709961,60.01203387583917,59.50456306906976,54.89508008724974,54.04273252718554,57.603359416960195,57.03383728928607,51.898336286559406,53.49495230259709,57.763795461939544,53.30215614497419,51.37191506535152,47.65047434490967,49.54831103744616,49.71701431909458,46.046731516821175,42.53874511901624,38.27748528546116,36.412269972631016,32.038062889288135,32.4646356809848,32.45524257494863,32.87696783492289,37.68312000832114,35.98480974879903,40.124308256793604,42.08324884817126,42.49298658076965,43.9445074261447,47.30324446197931,45.86051489157942,48.275490773038406,45.508815634954736,48.525989180244416,47.55288391610448,43.78872758688731,44.244525725217784,42.08884145305176,41.23010730728664,39.93949035480496,37.24666756401034,37.275918130075034,33.34337782603808,30.72519821138798,28.01352769942382,25.099812681640888,23.293379525520365,26.200437674481112,25.28159522576749,25.18679206708435,30.49566451718508,32.25057251239087,35.85580451620581,36.86873966674359,42.64665916320623,40.12424057413806,43.3137666292393,44.7937503374217,41.73225137447973,39.07264431426891,35.94389262079198,35.80028776339762,31.419548072653278,33.809902540232706,31.164909829728483,33.88339923409999,34.81306474546632,38.364158060979996,38.45765988279283,34.38510674581815,32.68065178693854,30.18912418322685,32.61487687351287,31.19762434701994,29.685764251337023,34.56205709668999,34.201755945105155,37.292860840093,40.11028669470728,43.01360508709524,45.88328245766933,48.860583296476264,50.285415880413545,48.119671490903166,47.07294886572511,42.94226034644842,44.785864316928276,42.319084256507885,41.200342840089384,40.71145409567844,41.92949537732375,45.216015950598674,42.46445063225753,40.35167915043164,42.27241785949406,38.62841924117495,37.03878072070015,34.20099419334054,34.138063575383256,29.97376639627139,30.758166050497074,26.041099310384652,28.033991260365937,23.008684253374337,22.85339426684577,26.86262056593647,27.719912012885377,31.249280694607705,32.199326442094815,36.133391851852565,39.212447882294306,39.47306403073748,41.69657438098877,44.63491091234052,48.07875978714744,48.498188417657545,51.17797178562171,54.525070153966006,53.108498622482124,49.45358087308116,48.30746773262815,44.92416811519929,45.89075364623838,44.583878834980254,43.07439038614146,41.89219562662283,38.3329735476545,42.48319325395936,44.87748107292965,46.325421338728695,47.8135589961694,44.364218591136485,50.12137190576274,53.48590095876455,51.39336326919184,52.75786626292443,50.660448561705316,56.0872035450044,56.6065631133167,58.08819768874537,58.58169408490097,56.30990254477679,56.553217357742554,54.49655157872787,54.55521371803293,55.28588163959869,51.25599482100581,51.34400154462289,49.25448640662419,45.796739124258686,47.91089789590722,44.1628127412788,41.86665411667837,44.60651894058779,44.71151727470137,39.91682088165801,40.938967691998194,43.30655984569238,41.09504286628464,37.16547381128883,39.51237520104249,40.222582886131114,35.64071289967532,35.83590076497589,39.71420996026091,41.66452698866415,43.95047209970206,48.43612752750072,47.19351691652639,48.365305705813356,53.26865336220455,54.263939719086856,57.65628741124788,57.20647697277092,55.78173137764841,57.1285086287183,54.16867516326451,59.20404887275359,59.476548519722094,54.413788230704206,56.47503654987056,61.26392447604607,58.474518391883,56.02802661628218,59.27481200617719,60.996740873984066,57.095043266410656,55.520572550705054,51.7872992129842,51.19162506953111,53.233356640771014,50.963416031727085,50.46195145711092,50.757837273700765,47.2620902310824,46.49435738381183,46.53686577505638,43.93536515288945,41.19327582752745,42.02916710861237,40.88057275662035,37.68104761919628,37.95529079927615,41.7872704515086,39.407499679161134,35.657495428375725,39.99459106292975,43.16028637180096,44.64121056935608,47.15986398271825,46.89984849516379,51.3482467316557,50.42091535453262,46.60011886863999,50.51630863114581,52.914575775647954,50.438369705339305,50.264265842984166,55.964811668916475,55.68237795996383,51.65346790116411,54.21916889451904,58.81230400207764,57.371207211765295,54.35266444245187,50.05992971948562,54.54211139691159,50.783178925200495,49.99613921951585,45.11695743301148,43.58659181473431,38.70484721946836,40.626681637914366,42.71504478379551,46.48342688424302,46.01808649766497,46.142001915224746,41.84718234190771,43.67363606750685,39.68928159351067,37.16733963669103,36.3856559735149,35.5897734140684,32.581520609482645,32.64941934505498,32.35046954806466,28.805661009397173,27.564439715014736,28.635093233056224,26.789218044366624,23.184449929748236,22.27009358430359,22.012747471861108,23.27132769663417],[37.41037981423602,37.998849825856475,39.30982280672674,37.78785837191085,40.572167073501575,34.05184671881063,34.11390328380044,32.63693364680358,28.97507009622635,30.662589518315563,28.187737903330454,28.134603460437244,32.9640249385325,31.013455614120748,31.504755942248142,34.12213874465716,36.964626446034245,39.277010533435465,42.89131456138302,45.64433390838333,48.49773610138895,52.37235293845877,53.70126280446547,54.89401678334727,52.854221068274576,48.599581821685554,47.430910276193906,43.58119293029217,41.402260767083185,39.33854616973818,36.704752032104004,37.166847180688585,36.53227756882504,40.090440415209315,41.61373811409028,42.55901439593277,43.07373002518391,46.81323333741759,48.94532712212146,54.78240308498417,54.18631054449711,51.64435531569189,55.260570100326916,57.23662381957279,60.63374093372524,62.55196708050732,65.58386914978695,62.12982318642767,60.53155821475541,66.0713666789277,65.39614717646815,65.66207345145882,65.00621109175778,60.39264971544007,59.48641631861787,62.876270679842264,62.29301365365698,57.14945402882564,58.54808916819866,62.76367966932089,58.315775454464635,56.07605267186056,52.28793829650972,54.02555772279773,54.546470766337094,51.004064043145085,47.295277992289996,43.15531836636598,41.160187982130154,36.82100028554141,37.115916320812445,36.62189152342669,37.163401484633326,41.95924719188052,40.53844767370691,44.28486030831009,46.738521780447584,46.96845275543819,48.774186580071884,52.32153984251243,51.12639407287839,53.77767889932947,51.13908968043399,54.2924557077698,53.38100349785116,49.49808900537705,49.71825463922319,47.47627801111634,46.38934497630255,44.74850091932305,41.952778397231285,41.46446351790061,37.69866930865706,35.30724646868353,33.03785608195511,29.825416164352262,28.486183372226062,31.502467961831826,30.90439345179213,30.720588553868904,36.08789481179206,38.02672559723639,41.644498365387626,42.822512234539474,48.65279518303059,46.2102905135724,49.3568912653773,50.879149063072425,47.78756114725655,45.13201285180151,42.018021744223056,41.93709116935459,37.5490575189013,39.872060620189465,37.104091251953605,39.705817896363975,40.493712528964004,43.797857836608,43.6773099506585,39.73931663127479,38.010809688548385,35.72497157373962,38.168394832670444,36.966429955810966,35.60975043112634,40.538329485062974,40.23025921996213,43.383246280995536,46.2087055293104,49.14534152113264,51.9613340209122,54.95648869868765,56.406802617402086,54.24874896920305,53.18601752967539,49.031322583824064,50.79002466858712,48.26196561752203,47.04226184234569,46.60800357159671,47.5818937817035,50.79311015676667,48.058771215659775,46.10477264060944,48.03718856391865,44.44174700483602,42.93664676906715,40.188401444024755,40.2258612320843,36.09510513735317,36.86586375488783,32.11271795765766,33.867664710041886,28.650012131218215,28.57346596152797,32.66439639720097,33.672995559744,37.24988269804776,38.161599187741615,42.2158445913937,45.298285897293844,45.411043292756254,47.65250842987976,50.55602319872946,54.04700040492599,54.409868827469246,57.195646572043486,60.485402289521375,59.100023233649765,55.39588605861825,54.331731535128164,50.932739173616376,51.946136052212935,50.6409499609083,49.074286206935064,47.86056536027129,44.20880737078893,48.26001812986519,50.75226915362744,52.26135671957317,53.83845113478554,50.457418560204694,56.221699209396235,59.585997038631696,57.479995883265296,58.73832843193438,56.53429573419221,61.970358922694686,62.44674267485539,64.04174802563344,64.58586376988718,62.362694086190274,62.640097904089586,60.59920800230216,60.66459768077454,61.36334329507899,57.29521651083899,57.36000555299775,55.16951022446067,51.75674694661172,53.71818582011695,49.974241038077004,47.741641037402694,50.31299846236373,50.29846120785776,45.536118092718205,46.47943208492035,48.69059630845898,46.38185953212357,42.46894962503708,44.6290463468966,45.14437501410329,40.60595633883985,40.70943883594271,44.329309590644264,46.493975466912204,48.56131607803109,53.320317262938744,52.255001350200594,53.26017818903051,58.25733958552932,58.983641991708616,62.65196752557331,62.29270023004636,61.08474144750368,62.5276813338837,59.728461101140944,64.80414000293433,64.97735315166196,60.047172514710034,62.220514474310114,66.96857025620932,64.15815077909338,61.830734613405205,65.16068537171188,66.76481072920885,62.818562176978,61.449070757257545,57.61279390254304,57.14876668216241,59.11605376157434,56.70136885849163,56.19934229231094,56.28644780705967,52.93444570813359,52.24738301116932,52.00076280597012,49.38570220728835,46.857353234101886,47.544528091579316,46.13589854954271,42.93321368251402,43.26044189357182,46.83765941858463,44.24302820241676,40.5523760113598,44.82579197269336,47.84757402199141,49.54584241910805,52.19767644707566,52.211238001411715,56.619263089635666,55.47935943610496,51.8779230208424,55.95201165432154,58.18063997986594,55.663494900471306,55.759946886278655,61.397271214421295,60.91185484923565,57.00591269736574,59.77197804415292,64.2177732673837,62.60985248905027,59.647767394603285,55.32715014901814,59.64989900666102,55.78896374574818,54.872531824581934,50.08163108927958,48.777059142973734,43.922635992499295,45.688074855290054,47.97751770436425,51.75366889703855,51.50584974792043,51.74316394185896,47.61992069379184,49.588949178162444,45.67250447657084,42.984791516695225,42.270299973930335,41.31135080056392,38.46191410343149,38.53960237267295,37.939703640585776,34.442024713855396,33.48205180088326,34.18135995988203,32.131467266091924,28.48464042652597,27.784068716536886,27.26724167552355,28.32810811763815],[33.79222477375642,34.63324728382346,36.44607290324879,34.78975945688785,38.23494163609495,31.86330084765135,32.45224747743745,31.62399858334287,27.93102642776357,29.912328068729128,27.990172608562453,28.473222365929754,33.015818012852854,30.724560594346848,32.08464175568124,34.82800618314411,37.12286460738558,39.83630126549359,43.22041078842892,46.222153377904256,49.10583683931182,53.07274740750322,54.25485980536153,55.08857155377796,53.0219859244635,48.64410470183764,47.46588979370825,43.49061664708544,41.786489811687545,39.98288985857919,38.04585262429835,38.473867466968024,38.46955263417197,42.199087448251255,43.22305363824201,43.74048864606706,44.101732029675375,47.40855386523899,49.21644525974402,55.24866769646482,54.21567660545225,52.06264216360376,55.93977081920234,57.68894502699033,60.894988191686586,62.565092970553216,65.82942693273773,62.649525975870326,60.760496620507496,66.35148135864956,66.09223083682252,66.42332119989761,66.05436401139244,61.2549691303208,60.69691012091103,64.28695087176997,63.48906385904932,58.401090590951505,60.195919401579864,64.31958848407443,59.62349928927386,57.68757867682623,54.06186299836176,55.58616164988974,55.75410035625063,52.24245669784461,48.33626006668015,44.261279689683754,41.86623421823924,37.65690207317553,37.61443097920995,37.319321677052905,38.37949603373114,43.228025843182245,42.06966154879345,46.36838981948086,48.47913028509372,49.16298677082785,50.64101769814574,53.95266640274223,52.63272915181067,54.881892217215295,52.2102004476824,55.0362576955717,53.78532928864262,50.20430173874309,50.661145650517895,48.837919541936365,47.75760962389158,46.78432973829792,43.86475560783052,43.80247774621079,39.934778385624575,37.53014716407638,34.69727064428382,31.784734989353662,29.76766490471672,33.13217488568578,32.135355186588804,32.1417172792384,37.40971563611856,38.87805644628934,42.52939957645679,43.16062341298889,48.79068234198825,45.852275435792386,48.850882288684076,49.98212917099406,46.55245063475054,44.3100153379515,40.783352932012036,41.00000232338212,36.535111891546194,38.803222566273824,36.357060690512185,38.66300152641699,39.86471692140667,42.92139773320725,43.306368917909126,39.64559241902839,37.510189867711425,35.039783843564216,36.87904329251631,35.57243673853437,34.06833873716139,38.9354272503569,38.48017973384985,41.93847936775274,44.81186811810374,48.1772638487154,50.430904726706125,53.69626633885475,55.215531568788215,53.49326997949147,52.01126829766127,47.779729859508144,48.967376824919825,46.5334453152584,45.30004848340147,45.321325180872,46.19195827095792,49.685645204980645,47.301731951591314,45.29481894439263,47.66130078144522,44.2659695856738,42.43338398683609,39.913728593112864,39.86347170483756,35.62401463192909,36.42733223858885,31.906213999892234,34.13463712987634,28.989738498812127,29.418022626576246,33.44480394947689,34.162542881087,37.47959512844395,38.541176842526276,42.07323564376472,44.85224524419361,45.40716374101948,47.02782060847653,50.330529074878996,53.37539571282525,53.20188831568833,56.07073076396798,59.14946151104598,57.51742350887112,53.773762083272004,52.897013054712055,49.70911867495695,51.21534747508242,50.26088965051779,49.08607065169056,48.161162659748875,44.7481200282789,49.121749054817286,51.245413545622704,52.65305995808126,53.73233751842187,50.17047756283407,55.82527347866553,59.11703433083812,56.91198176401924,58.538709169595656,56.492156096687474,61.88305551409148,61.980990760008105,63.558414620880335,63.8528889609321,61.64012872495541,61.59254391559003,59.39388353821098,59.36664546171184,59.82044249007302,55.53321751931449,55.631214540686024,53.15386939366189,50.04913818820542,51.84772436527456,48.368798952185585,45.95310792012406,48.06406386920286,48.21095481798727,43.45258082852644,43.824968326395606,46.075934853481165,44.13825048225905,39.81674965411155,41.65511572445072,42.278534385883695,37.85398533283087,37.44649778454164,40.93430884855155,43.1193322967091,45.345718243015384,49.91089333334752,49.209938318997935,50.318306103477674,55.45899713621273,56.258332255306975,60.06193152174358,60.07576640301386,59.003938562822334,60.75465006955915,58.17456163466804,63.22902219061166,63.03509462050799,58.04264308801755,60.539637197523376,65.05359547446105,61.97553717445171,59.829147197752555,63.311563432472504,64.4913848819327,60.39908290585717,59.41948488762977,55.48158269886404,55.61710014103974,57.64175675827801,55.188048127624704,55.11616980814667,55.328166384277786,52.198919805084046,51.04863804326285,50.74297399381206,48.53976384431187,45.78574584005269,45.99025640702891,44.78096745564207,41.60554730887488,41.42412060682949,45.02332865836374,42.55144287202481,38.53370397273588,42.504018155068124,45.65746805595979,47.22401307819846,50.18366678754235,50.40057225909202,54.75203337971441,53.212538085922525,49.51482595679913,53.835306818003396,55.73797963418164,53.01331152617984,53.27825407397988,58.93257974911231,58.03291489381468,54.09543538000788,57.12352878115716,61.41624611832328,59.481419385115835,56.48839985936774,52.07201045521943,56.145988128205666,52.12694174006585,51.232319414454054,46.465105488861944,45.53941154217587,40.72195820276203,42.13501404882679,44.64147714808681,48.386054919701884,48.445419081028824,48.99872618660315,45.17389607322498,47.543490088024804,43.75594809602949,40.88365290941619,40.70545402269843,39.81848070545459,37.39009938643957,36.78917712434571,35.920635222381364,32.858678299434814,31.854960065974566,31.71292946587297,29.92853501494103,26.554212864035208,26.358784895184705,26.146861157690797,27.3527181775636],[37.55442951159784,38.30067689033874,40.11149454408467,37.950808278018016,41.44920881556775,35.21112256878701,35.50349856683602,34.84677373817393,30.82146663954974,32.22089773436001,30.104992506543308,30.927685316426484,35.1474023770702,32.42045459152712,33.52262955405016,36.47786528572456,38.65695884513589,40.94413629661313,43.95435334275485,47.20978776221027,49.76334207229899,53.85358285243098,54.75463374129988,55.62490409012602,53.87494607978594,49.49009601956804,48.700943352021255,44.88429020039018,43.25559102326079,41.765310349708734,39.22824012771272,40.29950655330891,40.08185829030089,43.442281224492596,44.72821459672215,45.10233472146436,45.93923528170467,48.96637895508902,50.89618130954591,57.00347129834477,55.71429383992183,53.25228511650128,57.08775653672976,59.093820102649175,62.19885641331416,64.08283377344742,67.23286040844049,64.0492162305051,62.460713830130565,68.10250595718956,67.73267941703686,68.27070983923421,67.74761916317699,62.78815850457557,62.39339153850853,65.75531759026128,64.7481370197013,59.68681521752503,61.41306646132189,65.35410650765877,60.51810216870521,58.286916192520785,54.672040309793935,55.85180492768275,56.32912202219361,53.02479798338825,48.77037072079526,44.89918154215336,42.228570790733094,38.127023488697844,37.85860377111847,37.07982904029746,38.379995368656594,43.192548868156656,42.480132775641586,46.55852104153559,49.10878518047728,49.85749474607051,51.63644987912155,55.08349638127224,54.17311062842321,56.61039735085905,54.313339182242856,57.23526837884767,55.85819625079219,52.14333359232048,52.19213216249779,50.53118929358596,48.96049029798089,47.91460021395158,44.711352358507845,44.223023016801996,40.5338863977006,38.481490045887085,35.9170472525571,32.77363155835706,31.045251096389404,34.91062359896731,34.36778198962198,34.89533321877034,39.82383656445349,41.863179135602245,45.13747161863952,46.211075403230375,51.807515356983046,49.03534955229725,52.27209243601626,53.35788074370816,50.02185240802958,47.78460524574821,44.19198083324476,44.01692766157639,39.42929236254502,41.32056144058753,38.45725002720238,40.54366576426325,41.411847027041375,44.08289203112784,44.12896131066197,40.6881815826706,38.527919697319255,36.39390597095664,38.35890275248805,37.480979489213496,36.425478484668474,41.444356841256926,41.574878049955096,44.8984393194751,47.948552713747624,51.25600892041529,53.58139759652686,56.97173653098445,58.22124827788862,56.52797420310174,54.825017730093016,50.48284067952752,51.75411118541085,48.97937703703546,47.45521758624407,47.394293773038356,47.79238196474274,51.079243278180655,48.679672449137094,46.96208215756258,49.33342767215584,46.070134000988666,44.40015634698387,42.14396954414003,42.46784719455059,38.39881958324911,39.62603233956777,35.16695699599367,37.63829941203178,32.69892970480209,32.647784691698206,36.52261629987798,36.964208311129774,40.51725307382576,41.12075273121127,44.95247156522488,47.42748957754779,47.57754027995584,49.12456884628395,52.375930109428054,55.48983633471559,55.249454344579334,58.38573584851583,61.34854534492417,59.94250282027283,56.079275086785316,55.37827208628889,52.04839533525978,53.61832406693498,52.73177890840611,51.50947127407765,50.762109730775315,47.113024774543916,51.60195152630167,53.57887365881691,55.22833883020164,56.20422666568966,53.00031865750421,58.63460350353493,61.84464019234685,59.48206571452305,60.782522174196295,58.46291010586087,63.87304013907405,63.78635592023645,65.65528586711163,66.08443119352783,64.05338595904533,64.17160326673171,62.13305741076181,62.30090023153604,62.92557116946628,58.65455312423148,58.99737455452621,56.64614132349443,53.61836981116821,55.6605351554434,52.2531684105011,49.67602316937187,51.848299172588646,52.22778969611296,47.431109002600714,47.568365809284074,50.05523743529604,48.35776169718352,43.845088617275486,45.6527348492979,46.47834506231488,42.080103773310036,41.423211035832125,44.99018467529814,47.048061860203774,49.518799707077164,53.76710233685652,53.21160844665457,54.495291338422476,59.652204082794675,60.600272926383035,64.3331659277308,64.42159353274079,63.259123775948204,65.00581772449544,62.3322441541884,67.34845019847118,67.17657377851212,62.03854806536553,64.49116674363442,68.99329665963386,65.83703224114957,63.59116708999477,66.98455338888033,68.15317206518002,64.03212692525436,62.857236684828585,59.12272415727988,59.2614025516466,61.439972479505286,59.17792670383711,59.12491614623234,59.511870014889425,56.237311727065844,55.04420595942807,54.986511713228,52.76656510107234,49.86709134901112,50.183179692968565,49.14652838366253,45.97012894705767,45.72279601261082,49.457909167457004,47.076494525514484,42.999631087667034,46.93808223042827,50.16761165869136,51.628077622752784,54.59554450301585,54.70244223637081,59.069625627312,57.560390747401335,53.70282722981696,57.984269944286126,59.905214018601754,57.118936962358084,57.21792899220656,62.94838574700661,62.00565352815668,57.90526373330559,60.874513532469514,65.24857318689008,63.23624282332708,60.121830257977244,55.61600627843438,59.59919356057983,55.45569208299011,54.82697416807801,49.95125908948585,49.217941094129195,44.38489814496433,45.50401078595042,47.97867737741945,51.65838010625169,51.70173204819596,52.513172076196064,48.59607215977491,50.98790691976658,47.02501478576705,44.53758148298914,44.48379569987846,43.82928291278769,41.22918850607071,40.48629028149214,39.94497876765262,36.93465930186209,35.534343200252756,35.54535070875836,34.0978482716092,30.800740260264444,30.49959627805528,30.379066417554917,31.675843778925852],[34.579085468186854,35.5197448555539,37.703340349760026,35.49666839867488,39.470167094297246,33.41899001063588,34.13618425604138,33.95716933000087,30.01425085933391,31.672474456828642,30.022018324556157,31.164371275679933,35.16356772387796,32.28905584206428,34.043478755439054,37.01925311755645,38.79711702541702,41.422212751666855,44.29704709691533,47.67124387677538,50.285132880404596,54.400434900108934,55.23440678419458,55.82409807067766,54.01247238848753,49.56172192677807,48.71012534135867,44.80395054767285,43.528566073471005,42.19060877330252,40.27027412153786,41.20079968906382,41.457698983423505,44.98177958641724,45.86448401841444,45.95621304889841,46.59966924161524,49.337379100323034,50.998415493089375,57.205292456957906,55.63755311898089,53.52590192139683,57.542359334658265,59.33104466783807,62.29669233635104,63.955668977646035,67.28384810124639,64.31674414094951,62.47338109932941,68.12295196547075,68.08022823624573,68.63215271437647,68.34616689258009,63.29255681353515,63.128157985571484,66.66292184030098,65.53500188418228,60.528854036714094,62.54931863130692,66.44182225806935,61.46384293490064,59.51590186874455,56.03232410411833,57.11301520721335,57.27342845904388,53.971851547806516,49.65689749671485,45.82312533965497,42.92692899945108,38.939754957222796,38.46425164803238,37.926341515624614,39.55022322667217,44.36643665355625,43.767091924174274,48.256050291169025,50.46714606296975,51.525140375831874,53.00831109274461,56.248038210340084,55.18212059971195,57.28625141078473,54.91598822898889,57.57123856775077,55.971232457043236,52.518224016045515,52.803146147453525,51.42627094332195,49.95099712442886,49.39945798095937,46.17662790221877,46.070260286182254,42.29864297938951,40.184390877087885,37.20357138208653,34.33904405624192,32.11604006750312,36.08919113193261,35.2057344742471,35.77775312810054,40.6454345758719,42.25626765153533,45.58359680311228,46.19743527287443,51.61545924997417,48.4787516770268,51.55687544762722,52.35066218358396,48.776291959782924,46.862556413754945,43.0032275912199,43.094759260555364,38.5129121577,40.38646192583001,37.84915906320588,39.717289741296725,40.93651966956179,43.44926644540037,43.92996490052002,40.69649098822607,38.255900481320914,35.957851893537054,37.418443689773696,36.41671761052798,35.209294194331754,40.103825715984414,40.05761145328652,43.59449710092225,46.63408006663423,50.24530999102151,52.123210881975844,55.6821912807892,57.00848035430301,55.648227153470565,53.66775548394597,49.30915033441697,50.1258172916022,47.481349894390036,45.994634310524994,46.29558036456703,46.6732746639168,50.184229885041006,48.07006303453961,46.284892888958055,48.96601112787936,45.85648078269664,43.93290580741574,41.83071500931222,42.03687114368477,37.90929583925641,39.094879454499775,34.851668797492636,37.5970242063188,32.74870460545019,33.100959240828594,36.90381209379482,37.17618389157979,40.47610851001373,41.2435883715762,44.623105687496235,46.89640316846757,47.42685350766231,48.511311502464984,52.04721349875123,54.79964518031813,54.162580342149454,57.309772915387335,60.11228233448599,58.494872384276384,54.63651176802746,54.060915449934036,50.93030056221835,52.85476666996522,52.2265467967512,51.308098524462395,50.75186047261625,47.33362301913349,52.00990596890153,53.73143562026349,55.263028716949975,55.882595539202164,52.514635612985764,58.03914140517265,61.19128850757557,58.786662837385286,60.40087955857875,58.24906679686102,63.596798815340456,63.25444511843952,65.06028407020969,65.28124412619428,63.24143158564422,63.091864176319184,60.92322834414414,60.995727329087,61.411586816057415,56.994666526395164,57.3331366097754,54.763209986003545,51.98057946062297,53.862058658925704,50.67120203437651,47.99057430466514,49.79129927579174,50.27086922202855,45.51994614684962,45.23830386761153,47.7167294291637,46.300078251687914,41.532631864101646,43.07574584244577,43.96611276698774,39.70165460270799,38.66851049112156,42.09128203064807,44.15076738730936,46.714034787072826,50.797134496727544,50.517811848198676,51.861836668839736,57.09417531008251,58.082226034209945,61.903754729067686,62.268459434722224,61.22043057748424,63.190216086018836,60.70188591172777,65.68203997183592,65.23266974024827,60.085420925676154,62.77381399001185,67.08013770828029,63.74223632227964,61.653876141214305,65.1576645979444,65.9994658409255,61.78637266652495,60.935955989918014,57.12219203537631,57.71456028312209,59.907911110002026,57.60997375913737,57.876564365809536,58.338465444464646,55.26001381013996,53.73539858887811,53.61166588699476,51.712416219863165,48.681873598854736,48.6288923463851,47.736203829745484,44.60920655010779,43.99186297715676,47.70026416848879,45.42853763306687,41.15567512891383,44.82515468855982,48.12163833357431,49.47449807320058,52.64966274399648,52.91453498446893,57.20986191572158,55.40828627744225,51.513915779668075,55.9558950419852,57.61746967662359,54.694308991151416,54.93375981835433,60.638527624072005,59.3890124740999,55.298261761401015,58.4584886974169,62.68582922715307,60.43745781724256,57.324559256840956,52.77748966272006,56.553261053999215,52.31688442011089,51.687214499768885,46.869240970105984,46.424977778242656,41.663661539301806,42.513808643379804,45.14248020469421,48.77831984839634,49.06396225306153,50.09197352659018,46.4445419301275,49.12447145433594,45.30924164082966,42.666312345038406,43.008815948216764,42.39466104109602,40.149396740821494,38.923924911763656,38.160681651609096,35.5155998361557,34.13488712565723,33.49809725407917,32.25893446377063,29.233452364227563,29.318682597171495,29.408270948538384,30.78073795475234],[32.98671554299783,34.28188059452384,36.938929622463405,34.969777789160965,39.42326409106832,33.579106856805986,34.83795380740799,35.0086955633292,31.33569137330777,33.37794339452707,32.15880376167883,33.388436942323715,37.29892411918916,34.472087023725564,36.71869025646845,39.625438378898025,41.145592466794014,44.07861848153379,46.90488016132188,50.299928937300145,52.998681948797184,57.09270631844868,57.91736503375915,58.28914682690916,56.39373879567368,51.917148895675155,50.9544124266356,46.973601723069166,45.94955598960594,44.64435078107825,43.27535032693549,43.941924845487,44.51715282309744,48.21521412109188,48.80783164816717,48.771614143786444,49.16100043345468,51.76970338918031,53.1998717453353,59.42960989838352,57.72405932506956,55.95088256872138,60.088360795827136,61.659189918716876,64.53052777157376,65.96234841919983,69.44117447372189,66.64892406492028,64.55148492073899,70.17288802234935,70.39956703835001,70.90270146256512,70.8232165683874,65.76396752800177,65.70873409092918,69.4069340481741,68.25788872603465,63.29494749562234,65.50866287882619,69.40599752556729,64.38106498493238,62.67256371094007,59.27553226117459,60.34996817279136,60.25982698163166,56.93599924561429,52.657285977636796,48.83451364436878,45.847040086189715,41.948095398155935,41.366410827908666,41.04284734322039,42.841903594856845,47.63765740805986,47.04904647182828,51.787183914626354,53.72474764850306,54.93581286793365,56.18662028291615,59.26475560138778,58.002792428877655,59.83897305204993,57.31437006316271,59.75136668381478,58.04524646958271,54.83206301148016,55.38744181190562,54.14976707297976,52.86974245003764,52.61797896323986,49.46579132077969,49.645133607822615,45.81120572465379,43.59490917551818,40.35473942289371,37.70732152525807,35.17559515947402,39.0315026476619,37.81999353622466,38.186980942578224,43.13486948329422,44.2355785660426,47.74330510215309,47.86180066649379,53.137667985754085,49.673187406243734,52.485867160208,53.05897436424034,49.25115969199796,47.629385580080594,43.60678204016734,44.109933578573305,39.62719079087553,41.60227466487657,39.49046404662053,41.21379786075608,42.791741111538805,45.22478471981171,46.114716327949324,43.03243241395807,40.39989134454208,37.9347259147412,38.92642408761091,37.732246565302745,36.28108281782929,40.95820705487002,40.52833083329963,44.29015318354731,47.22167377416113,51.10312447780703,52.531544059127505,56.17128041993003,57.67899594153053,56.60514596401883,54.48190635722658,50.1755831504508,50.52463169120297,48.137217655446236,46.781491597753195,47.4425489289587,47.90898054391437,51.636956797982336,49.790875226524925,47.90261331431105,50.8210912708875,47.82084645816328,45.669255858126284,43.62964027341994,43.6187186601466,39.4218921589011,40.381026601160094,36.314422128712515,39.07386577388832,34.20760112034648,35.07664060994161,38.87852565866933,39.17743891600053,42.17443695457296,43.24029279814727,46.15355035120792,48.37214812995416,49.32524506086224,50.060299900785864,53.81852809613313,56.241614489106354,55.277166353846134,58.3445068544258,61.01884323482529,59.14313111967538,55.34431735245416,54.83938679816544,51.95525791775774,54.15951255407576,53.72470270828206,53.06236243913771,52.58304213392237,49.43146916422604,54.15959422035076,55.758302165087635,57.111321890729144,57.50458176656207,53.89347570175803,59.310101589795565,62.4324313278297,60.06147680010772,62.029591737270245,60.09945973711013,65.370153897168,64.86925381180092,66.53902594127507,66.54312099735837,64.44788684733659,64.01232655942236,61.67975607313257,61.59019531753086,61.73643491333021,57.19125632128807,57.41269505801382,54.5699498411638,52.01125406997523,53.57488256355936,50.572140185582334,47.91160759048399,49.270830830378436,49.69341384981488,45.05386116371211,44.45981217011602,46.742868671031516,45.46079163077435,40.59511446165207,41.8079958385504,42.583626606746954,38.50535327203201,37.195596272079655,40.28718640874178,42.47118840751668,44.89953189028876,49.037445053508094,49.0405286683967,50.28750632429951,55.58891628380446,56.43758448001552,60.464100585258706,61.096897957225316,60.2868635033691,62.494303580288154,60.29025955319664,65.24550323461023,64.49377704915413,59.47568751680588,62.4300814567469,66.52601537686252,63.05941065280521,61.215433183226466,64.87266575305036,65.36789324505175,61.08463869882241,60.700102314311046,56.71004908622674,57.759586579495675,59.8632147226354,57.409575871267336,57.95420650358001,58.330102953730375,55.55519774762012,53.792383848481336,53.39990785730209,51.80222315420728,48.81372272314747,48.32974582538936,47.40575408432987,44.3503967584064,43.449833453416666,46.94503264519755,44.67605592371416,40.31381652289532,43.67810500200444,46.91747170898007,48.287363133469874,51.68415640082532,52.247490099314724,56.426079281055145,54.26435649408059,50.517612428126974,55.15822324590568,56.49116353738925,53.466651226689166,54.01630213773911,59.60531086357932,58.00583520478788,54.0709522108682,57.49787913063692,61.46889838623831,58.97138532319977,55.95417468214503,51.42577680109392,54.94569819582616,50.6611200464047,49.86485593675812,45.23186368180066,45.083469743919096,40.4631587965058,41.10772829052406,43.953095307666196,47.54065065764439,48.15157493508657,49.30851153181609,46.04872335796904,49.010126976624065,45.46023423697912,42.47983250012116,43.14017832302275,42.410217330306224,40.62471356292735,39.06080849189963,37.8620734937867,35.571988974407944,34.497719378228574,33.10506670283416,31.85675611726948,29.089149218821117,29.624965669352182,29.762947654758122,31.067392283334865],[31.101961349645762,32.249368719253944,34.99653320919473,32.44078214121366,37.15646939412919,31.6973104161757,32.95819286613957,33.71047900386554,29.88945989002661,31.63121303093204,30.75758038519135,32.545393646310295,35.87388578316411,32.66205506226686,35.3418082739353,38.34566753711736,39.34654434940575,42.30515505239403,44.74282969640985,48.34942008134565,50.89681637718839,55.03763972017328,55.64322014663241,55.76165964930249,53.9846339144181,49.48701467708519,48.69455792110569,44.77501259493663,44.161793543581865,43.246340946231065,42.16102245209433,43.106702774497805,44.06767241550545,47.64365971317622,47.93680455154899,47.48441840233017,47.99367293775785,50.06374397735483,51.288972434453335,57.613326768384105,55.47804840506065,53.86845351397117,58.12542682192154,59.621275563055406,62.268416519492526,63.60787305142805,67.15716561329447,64.5957802511029,62.46444613139486,68.0841978314663,68.56403870805107,69.22740718489098,69.28862450911532,64.06762278278788,64.37026247547152,68.06623602283032,66.64993156998213,61.803387850070514,64.28660816047865,67.97897562372006,62.74602537091232,61.196576459258814,57.98249719884027,58.75170845821764,58.47854450836774,55.303125585163905,50.817614279558256,47.188301095467956,43.87143124825669,40.210554452739345,39.32109859707389,39.04383719725779,41.24067467669772,45.943389409528145,45.69930276351499,50.72672901298598,52.48963800505437,54.08455891912732,55.16138009402855,58.058952250506806,56.91154324593901,58.497408742309624,56.20502673569633,58.40956388286767,56.38482862302905,53.370367127990676,53.87690529816223,53.08089624156596,51.579993836776254,51.851506878913916,48.53060975194587,48.909118593376796,45.13232587970152,43.09178126784502,39.59292874271259,37.1783932688762,34.32595762046835,38.5667805443122,37.3467863700009,38.243390288388106,42.70987746763547,43.853469148074495,47.0017924501562,47.0481826476289,52.045514931693404,48.42069343223044,51.31598987064408,51.56890966048714,47.69732638575653,46.37569865423615,42.09372774038217,42.418213815986284,37.89457016596213,39.49492870733365,37.3918122402305,38.7319321175317,40.38228085722069,42.42356183538606,43.494187805377756,40.77447909455671,37.91200591183742,35.53567044885779,36.13058307981812,35.125795770208605,33.90084030467119,38.510700392966775,38.466182959506405,42.21887997818201,45.280704527887245,49.32027322445546,50.43771890561708,54.30708929326324,55.59533192546167,54.84133235132345,52.29250217094675,47.914232201447746,47.98007412657896,45.42425332740859,43.89159644249575,44.7698937723867,44.90827458912615,48.65121592758771,47.05817718605311,45.31417548781498,48.482551935432575,45.75104341580698,43.50346262341419,41.83436746085428,42.01541686637247,37.98181571215232,39.29272026426276,35.582961166367646,38.864934544860155,34.46081564329945,35.18573785831417,38.66227826114515,38.48510401911494,41.39268125910405,42.17968739859887,44.86251741332632,46.58582848947644,47.564757632445115,47.80181771722516,51.74463375600848,53.86992615377516,52.529874172597374,55.780286130733494,58.22565484732122,56.371402131517264,52.507884699501695,52.23872559032545,49.4271663031885,51.96165745493972,51.818461453875905,51.41411304463402,51.28609563650018,48.205270528612694,53.18750515089858,54.36876382917771,55.796363831356196,55.73983309549867,52.31913564025033,57.56824517726205,60.54134770047511,58.011638246424674,59.986844721341974,58.02367222048537,63.21100422417056,62.35725813717888,64.16262325286411,64.08828180594077,62.14347622670671,61.61557693792925,59.32915264663823,59.33999385516841,59.490550819545156,54.88521908927801,55.35640082659426,52.52424441365658,50.24431235413622,51.991438641763516,49.26313368190435,46.33485289609675,47.522516844019236,48.336282751731225,43.710733243991164,42.55845387702431,45.16264941332006,44.43592559452977,39.17699687697429,40.235504050523105,41.40145484991154,37.464386070542965,35.62522601589905,38.83521631337301,40.729298720847574,43.64137637502206,47.11016380400979,47.379024201570466,48.96465217090913,54.26440894109719,55.47158453497311,59.30029296834982,60.16782914618479,59.22308117189377,61.53533011240219,59.299121445364726,64.13982712629418,63.2518734695222,58.01872077718428,61.04015486498201,64.97313858108605,61.30540418972671,59.426284892718286,63.02261199478703,63.30647793015828,58.959634861218866,58.53055720142836,54.75402399712004,56.10810292013178,58.405959325791976,56.21259311321325,57.03590583735294,57.76393388926399,54.94199016138895,52.8314135685076,52.80007936138745,51.46644638876032,48.13296621171377,47.54206367332952,47.06840389673148,44.081838983372066,42.78639955013272,46.52082338420557,44.57993713702133,40.00206780985809,43.124147283389746,46.56566043021146,47.59421961721093,51.062501070466375,51.469865498899956,55.60705740623748,53.385499977098924,49.325040237868095,53.93662246688564,55.17600655745118,52.01385353777753,52.33712812799331,57.999669154226176,56.241996827153976,52.079386103230256,55.467145134190694,59.48058250422483,56.82412039504217,53.65373046728476,49.026776063501465,52.380572372911956,47.956593630420684,47.52225838639185,42.760560483412945,42.9236220233066,38.348123581219916,38.52950216111058,41.34844321825586,44.82114467827507,45.49466374538788,47.03665270136673,43.82507442277938,46.967117746323204,43.36460370835142,40.741750502319,41.84370336805668,41.481288570702965,39.777435137876154,37.65172399967997,36.76591261216529,34.869188810343054,33.27986486746765,31.651250581963236,31.093455933208897,28.707622589862595,29.354523868765042,29.867915830581577,31.412986334038223],[30.26515022023415,31.771241718867824,34.96071235895428,32.69894709867519,37.78918388654562,32.6011771537853,34.33843427220967,35.34726030917042,31.84999948824503,33.91956671230593,33.39196766838853,35.16128937660154,38.42572363016202,35.34406415985007,38.33740950364905,41.24461726724831,42.0710674109845,45.25355219268397,47.66883068795317,51.240254452151476,53.85410985849026,57.94570238382662,58.55533163859197,58.50610110040822,56.66126013032053,52.182102476715045,51.28011312479562,47.32709554736475,46.89408983403629,45.97883847591591,45.32619919911636,46.02253568522172,47.19382738465958,50.89808676103493,50.98427116951248,50.471346857349474,50.75285194198359,52.75253354928887,53.7887585071609,60.07809171245371,57.87359285669657,56.55642878442621,60.87729646575963,62.17640793423155,64.7589590005166,65.90495379514472,69.5647940161175,67.13842390932301,64.7940264128108,70.37155480329726,71.05284662517073,71.64727770623098,71.87284950083459,66.6574207475434,67.01867837661452,70.85622428125012,69.46088120717424,64.65208039622526,67.25538196130694,70.97192484714519,65.7483292705611,64.39916118456857,61.24892087430385,62.04387643125147,61.586278864517496,58.38812961088547,53.99112989542969,50.376665081511604,47.04665527840015,43.46734536458131,42.54381160467431,42.443654943592094,44.70391395056313,49.361731991598184,49.08995458218487,54.24317287003,55.796901088073064,57.4712893370023,58.371518019204544,61.13556768586746,59.82660214420693,61.19997499466035,58.76866962207033,60.792224255666724,58.71780753711849,55.90918963987117,56.64813331490036,55.93441378109159,54.623972213203096,55.08930440718578,51.858873167752456,52.44125875656664,48.62877328866372,46.50660382625958,42.859509441810765,40.60791894903242,37.583964680884826,41.640635073504285,40.17571893419102,40.84466591316852,45.38170691940672,46.09108281952158,49.39542413875934,49.02333174227836,53.87804263798883,50.00761080826614,52.6499606756569,52.71844042703663,48.66786353386073,47.59955180069457,43.22949207485894,43.93368151203271,39.55617443747074,41.25526302014991,39.55869050811726,40.78761645290886,42.72757571778885,44.668567213952834,46.11186050680615,43.51788699787658,40.55202951131064,38.05201996227721,38.2619259733143,37.08883319034032,35.64373928304511,39.985099420086094,39.558476498491956,43.46909425212588,46.38907156835568,50.637108605014376,51.35542238218939,55.25695787185745,56.71525079125556,56.20809493283957,53.57264516960117,49.28498219966084,48.934290055084425,46.666442089576186,45.282130158328975,46.459584301203876,46.68054832566589,50.623411791499706,49.25749725717753,47.410061320120256,50.7381008922521,48.10362795334543,45.68685979792871,44.05766852880387,44.03210263528556,39.97052148018359,41.0391195245279,37.502928232934266,40.716914703369554,36.31670328286818,37.460958604762965,40.92986313220978,40.81991138044781,43.4468645979756,44.5064027585013,46.78011589983715,48.47745668522927,49.81712248167225,49.781670771412564,53.87221640066793,55.7105740177838,54.10869299500086,57.25012190141419,59.57155060684725,57.49304157497097,53.719689213383006,53.50496089288483,50.93669959398692,53.685105890305834,53.69747291384665,53.50318938138428,53.41536746865318,50.58193349481096,55.553738095402764,56.654905636078496,57.910740416990826,57.68997262990603,54.06506532310252,59.19554548291822,62.135033539592406,59.659755443428075,61.94020766640968,60.1826598070119,65.28021390043,64.30682559977537,65.98751983483977,65.72779107612884,63.719297360588364,62.94287669565911,60.51697081547547,60.37657782626467,60.279521625982994,55.58825864602104,55.929299584927065,52.85920016969172,50.79413997295284,52.22259282143751,49.67910905952451,46.804905519662775,47.57223774025131,48.31267135879018,43.831826537159934,42.4087469016108,44.79076404253231,44.187498196759634,38.89338862871844,39.62074396723887,40.65873731013065,36.9428223152552,34.858237587899566,37.694609739612424,39.69480216040071,42.459559049944666,45.96089834554941,46.502742447719186,47.98060714267488,53.31685731120437,54.37449309555923,58.391286035333344,59.5038490516411,58.788174660661895,61.30977066791879,59.35136537887175,64.14726221206048,62.98637082041623,57.905953725303895,61.15847694200517,64.88268007862301,61.11653022374753,59.47899929153835,63.20360901503734,63.16696437605242,58.77705160188409,58.79420247619466,54.8638766041889,56.62508424531261,58.817332857987374,56.48266315314103,57.545857126871105,58.18103453838543,55.65065576704572,53.35109902954296,53.06033393044583,52.00225019140089,48.74520868322318,47.76843742405163,47.257526215463365,44.361748637137026,42.82594715887398,46.32240791781932,44.3964795867756,39.78299389740519,42.588225154558316,45.94510237495877,46.98496265858676,50.63718741063702,51.3249284578447,55.32779289657083,52.780157285777165,48.89195190736593,53.6637550093908,54.58549928445309,51.3464196786668,51.971259381011436,57.490002565755454,55.40881789753794,51.42385516301476,55.05120217703716,58.796965983566615,55.9138616109619,52.856746705267824,48.27774329260674,51.365920191398594,46.92192740110297,46.313144912390676,41.76800377815328,42.22163528889493,37.8251884901752,37.81057946906616,40.82734177931626,44.22423004632305,45.21423292296463,46.85608824725082,44.03974279818422,47.4197459266723,44.0972450357177,41.15976697098468,42.54278062038161,42.05877067356178,40.78875320449535,38.40914769761727,37.10490394440627,35.55259825102582,34.292707943451134,32.0030513907659,31.40042901910891,29.3163502242765,30.2883569201114,30.839072743419113,32.2463043057734],[29.316330156660467,30.526911208991134,33.666118014477405,30.673205716730806,35.91014985072732,31.238972956472768,32.83258365744271,34.42580734362484,30.776213943603196,32.372318666194026,32.16605339403942,34.500937311056404,37.07719214481442,33.59810168204468,36.934662651671175,39.91773482305794,40.19385298169703,43.30050841821454,45.2428822893421,49.024062119712546,51.41920945769218,55.54016424846518,55.8913295554205,55.590598506257464,53.9165868403747,49.44964432354816,48.783963153443274,44.95637102976562,44.957249423903754,44.49104820528365,44.04650031413055,45.099705104998414,46.608202135639495,50.10517681926624,49.92750353641129,48.98358765873641,49.45349761269274,50.850195817443506,51.69085510934431,58.04205709951961,55.379769220663825,54.188885740755246,58.59441153272988,59.85020722886919,62.17168557637064,63.25128093929363,66.94280971721204,64.76251426362614,62.45057962773924,67.99919971517417,68.91427812539777,69.70551218806315,70.04529923822103,64.68657740033224,65.42786342273587,69.20162905205417,67.50986351728623,62.85119950151374,65.70592627899579,69.1675604768224,63.737880425878366,62.519600548121296,59.57699827825067,60.0184431759071,59.41030508122154,56.411331397960794,51.797923272472005,48.436819973903134,44.77854375001824,41.50134072840436,40.250073015107326,40.15738378492122,42.81470730090343,47.31723125564833,47.44006970690903,52.814288781337275,54.223842947003256,56.278507940588206,57.03233035806978,59.61329447915182,58.48272736122092,59.62619725203949,57.50724257949748,59.30414629372746,56.902500161250785,54.28880515677034,54.90668650991035,54.665943634671954,53.074340668388295,54.05034053710047,50.64670385452651,51.37774222699398,47.67996969429973,45.793646165015474,41.96857277582682,39.95446524854143,36.696146116390786,41.13204690953883,39.74935001239783,41.01286966850009,44.96686705567417,45.82833025558171,48.668841835038144,48.33119565515961,52.865336724188595,48.91729900817738,51.683479415240434,51.44209220962061,47.40497013916883,46.62570598430954,42.04138148100369,42.44119788223599,38.05183857289389,39.263970000325955,37.51258035005412,38.29100941207564,40.22103013179175,41.695788048051845,43.24162131145254,41.08228432791671,37.91640968109581,35.59886864302473,35.40995609712658,34.52684168976072,33.43351341592577,37.672454822843,37.79918119626497,41.60669608936223,44.67733247854489,49.010245575515995,49.451297076427224,53.576128968253215,54.72789655950314,54.53465384367052,51.45222088714357,47.09951651473641,46.51158317329878,43.99186597981903,42.374149121577176,43.73742557905349,43.54666127063794,47.40869918275069,46.313254344630906,44.68721287140554,48.23693297065158,45.92006323279434,43.46284652117078,42.27497263783852,42.518496735052906,38.71322854124369,40.21360821877313,37.087134707063406,40.813594150889855,36.964980207327066,37.829941345051346,40.90658374158988,40.27954650188141,42.84115700870575,43.51302852640014,45.60500365544465,46.7290563192522,47.99421207038515,47.45163566962583,51.681009062342305,53.22820547662314,51.25417324152357,54.61711803653388,56.68056255390196,54.692875049555944,50.845494577779554,50.90470816192524,48.388897449496646,51.44988374235901,51.76077344047471,51.80969313274514,52.10593061045183,49.317360594834334,54.51967867099459,55.172342315471376,56.544632753886795,55.86198739288597,52.534508784747274,57.46067028048021,60.2160408489566,57.5633613580718,59.76036176968882,57.926738896251095,62.91566591840929,61.56953512508617,63.425871683836505,63.12008289598811,61.318424392156686,60.49862933905038,58.17581546595718,58.18895965529882,58.15573933332123,53.447490912586865,54.112163235313886,51.13348268190027,49.363580481013734,51.06511087959095,48.81664813649624,45.655004657080184,46.31263366571504,47.51396964626499,43.06978948279566,41.07604830557197,43.856228173818906,43.869526695324595,38.214754939026164,38.82420330381775,40.3288077995989,36.78720989937877,34.1788769739237,37.18666176344182,38.78424354531,42.112514333571525,44.77531982205845,45.56630469736986,47.446479651324374,52.721855018975674,54.21644145586877,57.92960417667601,59.240699532569515,58.325367135931714,60.897605124497325,58.84945603519063,63.49471816629923,62.2539633260372,56.92841404914116,60.179673693237355,63.74419060964066,59.793008897780034,58.06926450388467,61.67035094939828,61.46137644221908,57.03211581999678,56.89508531786816,53.27903994103642,55.285402139652895,57.70832454005517,55.72051371603402,57.0269384382615,58.06832124717325,55.43231064876016,52.81753816195907,52.9906129807155,52.15931285315909,48.5439269531822,47.5562734322673,47.55180052433499,44.7431126545811,42.85938636317393,46.62967091346683,45.0781876124308,40.30866541567632,42.88574545666276,46.43992948867803,47.088677421247695,50.73573381328865,51.17610290623495,55.12859493239058,52.614852552046614,48.370251845847086,53.025621300377864,53.906515804389976,50.556370383518406,50.84402979265861,56.43515688645466,54.25856739754056,50.00047756121605,53.49613467589672,57.326015266008014,54.32350351487219,51.082754582678284,46.41545890075402,49.33107891432403,44.76008296894513,44.635050078422914,39.92629293507994,40.70166443456676,36.385379246153384,35.825804854168425,38.73143053454896,41.963531761690376,42.9588712725604,45.04080767129911,42.22000299711758,45.72329564243202,42.31848298529624,39.90741147075169,41.713450377719205,41.67875096922388,40.415289296217786,37.50596095082303,36.68172527731636,35.51955890826644,33.6314674974891,31.273305362364614,31.499618990874822,29.779083441969885,30.749704030919773,31.62812815158526,33.28780629852708],[26.032201856554583,27.374354453998432,30.75556270625901,27.878893905627933,33.383740857386776,29.054847237731437,31.02370981199937,32.93568081469425,29.626574497334605,31.483351766688113,31.707815618563753,34.073847422949555,36.44525704786457,33.14737608644827,36.869101069395974,39.686966340857076,39.71685867423913,43.100327197365246,45.05201694251621,48.71786057354237,51.23417842929407,55.247026738761754,55.66975623900937,55.18965214467837,53.36780069226091,48.94773617742651,48.095345278575635,44.236768891953076,44.44734414834247,43.99383450188256,44.15414548710751,44.8919892983807,46.72775045432786,50.352126252910054,49.845490299728475,48.78912251258429,48.96881472830641,50.23628283819544,50.83804750889747,57.11556088947569,54.40631387134808,53.5845408964534,58.04776356340608,59.046333293639776,61.28875231126668,62.128193530590444,65.93735122216346,63.92006183784993,61.355761291064596,66.83560091261904,67.9894706001175,68.70866630614931,69.25146393891292,63.92977032916549,64.75717266199443,68.67982861842869,67.00916836617728,62.428465639156684,65.45101423151162,68.91611302782293,63.519014608128415,62.59955428875473,59.767380821428695,60.288557456517,59.37740064369216,56.34115361574422,51.91375162401821,48.560692173571375,44.966198286986476,41.799802921564314,40.55766965955022,40.80816378746879,43.4643029027307,47.878353961921654,47.88265235771033,53.46927280503507,54.49356643403185,56.67212997216786,57.130407105456676,59.49649974829192,58.14701227779969,58.995121107019145,56.7428579984881,58.30191604687287,55.826921500689515,53.47922467747654,54.37768342744078,54.27092072029738,52.934283494714464,54.22235420949964,50.967261719362206,52.05539037917877,48.32205145053644,46.328218417846344,42.27413689970683,40.555566573145875,37.04011115224804,41.24252112224446,39.5713417992774,40.71931121521113,44.55992823695268,44.96800191390683,47.84502192104594,47.07967794951562,51.38367305162837,47.209396109965795,49.74917699147632,49.28176704988648,45.121514451250896,44.6303942550508,39.961274731663984,40.65200716707095,36.44412715290562,37.69664494198041,36.39614992006192,37.05227528098862,39.3025243621022,40.756446420515594,42.71914223323219,40.66683052146289,37.428195818316986,34.94965591183461,34.33962919306973,33.23439248310873,31.909460843159604,35.82493214954156,35.636513775164524,39.53441766968512,42.464092068258545,46.957976859969364,47.03002534725974,51.18752367710979,52.4484929507732,52.499982327644425,49.31987918903952,45.07289049706406,44.116178724590156,41.87864790710509,40.43473031057596,42.067799387202406,42.028860825455666,46.089110955444916,45.21391350001811,43.45224324240275,47.13520470273581,44.93458810666198,42.30368647907573,41.18081099054559,41.2199123205213,37.459464432387705,38.781675149993745,35.95299625021664,39.71806301403606,36.11043284317906,37.287361547086924,40.191741197490494,39.506274440199704,41.735350303710064,42.608111303794495,44.22364666346747,45.24241736554515,46.87957233100829,46.03702141460556,50.399341811514574,51.634235054266334,49.434046578992294,52.650481440462265,54.60846079933324,52.41306357969707,48.67386393019993,48.76250220241363,46.49064736147759,49.73815323208935,50.2135179114108,50.49765297310535,50.87614109320293,48.38018776864603,53.57281034516051,54.07244431461316,55.26727681111459,54.371878223753974,50.88492088163314,55.64970134599703,58.34641362343636,55.7490625715776,58.244449364890194,56.646255089899114,61.51940085439043,60.079655042492554,61.77039641823846,61.281785457286766,59.416209253077334,58.366630042444555,55.92594879360408,55.81091801933646,55.5764422334201,50.816425645064434,51.39814395448525,48.27094668095854,46.705802643848976,48.21573360802374,46.17389346973061,43.014905134066446,43.348147511632305,44.591852328369555,40.28556702231466,38.004068289589014,40.705378773671924,40.95815050902425,35.223533382263085,35.59386047817964,37.14688816456297,33.82175023639694,30.94280487790938,33.773566544746544,35.316648264262625,38.68981127591853,41.14595302072311,42.12034271829527,44.038699865934866,49.294024071442045,50.83901289786318,54.54601001256806,56.025595722685836,55.18168520418536,57.880166394437175,55.990448756566245,60.550912396242936,59.12514154667119,53.86097962990866,57.24714144644551,60.63375288290474,56.605437651027906,55.0256155661225,58.68195305630854,58.249765005799254,53.801518648815566,53.94130489716634,50.269016412240994,52.58568660792846,54.962240555395624,52.956173218822144,54.48967593002107,55.57323961008034,53.13887748805433,50.31002068361111,50.432052677447885,49.87839163383877,46.228226473488775,44.962635866325805,45.102368601651875,42.412871524669235,40.25925961453859,43.940629422727596,42.55434335921521,37.750904089497645,40.019290098581976,43.57126723729261,44.0765175942676,47.804651783721674,48.33178089367805,52.166006717645026,49.486802038051586,45.260419709771355,49.95434065670729,50.6398489426055,47.23358542249053,47.61736199652375,53.12200748590295,50.76240407534703,46.55668310432477,50.16124553364223,53.844920982107986,50.72352756182991,47.51646754312585,42.86650240296627,45.628919706346956,41.034692466807286,40.89661012908718,36.30201899394974,37.25982654541463,33.0862763984467,32.354353957604296,35.33897580430686,38.50106054510133,39.668049670080045,41.82377539984896,39.31477088873012,42.97922181601532,39.80510875597132,37.27741538935939,39.3534391451185,39.344256102293365,38.428003912761206,35.216816671399734,34.21060842011172,33.422927824500434,31.66398943929224,28.813417660144637,29.213379363782256,27.96327428874557,29.26395926948819,30.38891397137386,32.02145359502537],[21.746880802395506,23.202458838730717,26.656710786230565,24.288770235752796,29.79980476630142,25.332260041833624,27.65520204785713,29.47309983498892,26.547495214853587,28.92855218078855,29.37600764912273,31.44134212593967,33.99640010462471,31.154236988564733,35.03457278578667,37.61589718192459,37.7675064536568,41.48791310343546,43.80954678928228,47.18140257905299,50.000048490957255,53.86762026434132,54.58800488634056,54.14577305858361,52.01384906361567,47.62950993820964,46.396768250065556,42.41183356831028,42.50242212297738,41.75067821714775,42.41023531200876,42.59228013803164,44.58008238080868,48.45493474137802,47.75169813602668,46.850633748859416,46.6155391952022,48.15332971461903,48.66658981210845,54.8321401395827,52.43309010670712,51.85881708905797,56.313655773970034,57.099259287848284,59.46399292315946,60.13236941155608,64.01298809594569,61.95828499898592,59.15221350029019,64.5651792088525,65.76631208133698,66.28305112309422,66.93329715799518,61.80359836964735,62.44193798867714,66.53158801692747,65.080378391972,60.488359142169244,63.52043753334851,67.14409298898426,61.923701629719474,61.234364727961456,58.382876501117856,59.24235951912587,58.103537682147675,54.88078872521264,50.81811334916738,47.283062420060695,44.01796917103998,40.75166666872257,39.77387383413115,40.43274205047164,42.770859006411214,47.189603969912305,46.759977877342386,52.44235863644596,53.11666625782602,55.17922082039279,55.403705747114174,57.660628643298715,55.963734618497895,56.669324313748,54.09687251214211,55.57916901874162,53.25283734150691,51.018408430399454,52.26792557982298,51.987428585371916,51.09338882313494,52.38686189724053,49.407793507341985,50.81155090234723,46.970533950633126,44.712787353826506,40.51507952725941,39.00654421608413,35.33723448450518,39.0564564807596,37.04373599835447,37.79382176333704,41.786646443255584,41.69943683038799,44.83963993817005,43.68941837476409,47.98094562432962,43.676449177274115,45.990717876392196,45.568792364546056,41.32599496797417,40.83741181756324,36.22688613902021,37.293454563568886,33.23011323074345,34.84603959634233,33.970152928293125,34.86244119794925,37.40877656013247,39.31091996039677,41.516335123096155,39.2076291107552,36.06860135164892,33.2889478348,32.61852087375556,31.057687065137873,29.262200401995912,33.004073756341775,32.19606535269154,36.23604200612367,38.9913772742912,43.528460431091176,43.559523893075834,47.58661747800836,49.11064375087738,49.09955502560444,46.16688887885458,42.031423667938036,41.037669359865454,39.14472584460791,38.016820200281856,39.685085791909565,40.19482028060657,44.4174473149712,43.49356525307558,41.44376737376453,45.05784084109384,42.71208599564206,39.958873597282725,38.57368215274036,38.2584081451372,34.3800775629254,35.31090874064348,32.52690285114237,36.09657513020899,32.500020739563375,34.05201019866277,36.95111141607427,36.45547839179322,38.42083321390903,39.67608133542776,40.98904865372695,42.283457340469106,44.2809463750298,43.56138029102346,47.92585225088728,49.14241911340578,47.08848755077931,50.016245642629954,52.13907331045014,49.735890968369674,46.11698094650798,45.9860225445603,43.83158100914738,46.95902908892612,47.33585013438586,47.640213695689255,47.843187533633,45.57407587942376,50.619417163349496,51.2578254016855,52.2325951107405,51.46443049061536,47.65819931509391,52.439027021715475,55.21962485276028,52.78590432274737,55.55870151105917,54.21215440003291,59.06631519035318,57.873999979995716,59.26817144568315,58.68060100869338,56.63279609220681,55.45750292657195,52.86985963248093,52.56813434499529,52.19152460439386,47.416934211709396,47.75286147062527,44.50853635780711,42.83473468874506,44.134872601377225,42.00856193377453,38.982026974074884,39.2783185248135,40.31532315950069,36.00993127497088,33.93570112844352,36.452692458219936,36.49789512205273,30.85821654356846,31.27677916721603,32.69046057468652,29.29412681432292,26.57137995225474,29.434755588826285,31.112710894723136,34.34061199666426,37.14926974805008,37.929039732218264,39.719108777442074,45.0073236250608,46.461860616215574,50.21725990249231,51.5993272297454,50.79536718177764,53.48146789595167,51.63780449666392,56.25066419254668,54.83797879745993,49.666493072349006,53.0814361434083,56.5251110602406,52.573718601315434,51.05075596719398,54.792669218249124,54.43329866137526,50.00218848718468,50.27655166054869,46.38844705522698,48.66190520436626,50.90457428728593,48.726109442098796,50.23452036599007,51.18280086180755,48.86139243193106,46.05979995613536,45.994498785673464,45.47044735687567,41.91758843681212,40.547239990603586,40.585675143311384,37.90877318369692,35.75224348519896,39.36370890097806,37.94643910281525,33.146173679942834,35.42652617859105,38.966975344031205,39.52847591073046,43.25942424489619,43.85027548742789,47.69615704448791,45.012448271405496,40.86823276940509,45.61374326783439,46.327526380412216,42.963287715911584,43.471404979319864,48.96359968074669,46.69268497082421,42.587262026072125,46.24652201929686,49.925699733695076,46.9158239430725,43.790743547688926,39.18127523989662,42.15650590715587,37.665629106992434,37.222833543299856,32.628171930697256,33.31685792212422,29.058910789521846,28.69073590496662,31.747526322232805,35.061887305233306,36.207632769388056,38.064050283313755,35.578546216599484,39.225887472989506,36.20223494503393,33.27647088984335,35.2664923571674,35.07292854341251,34.35184146614824,31.19512722741548,29.887201583901877,29.151220245451853,27.716244941885012,24.58601085802651,24.8112050142159,23.64282156694127,25.15664589293747,26.29753602221617,27.905555355668938],[23.57480865094434,24.53078008930686,27.35516096163485,24.53176193195526,29.55868935957489,24.56296064861684,26.224797844098465,27.693302133660517,24.21808504616885,26.214298111478488,26.201406098718106,28.34972114387249,31.048392936662058,27.958172598589076,31.515694428137092,34.27880885457419,34.657841511388014,38.13573046119795,40.508039649940116,43.97513108844226,46.723913115745354,50.698268495067275,51.40167356466139,51.16998873093863,49.12933916564862,44.68134529470686,43.59032630952031,39.60450070907752,39.45482366913577,38.697513488742864,38.7921413787129,39.30557853355679,41.04141412367974,44.787207327441024,44.34884994270583,43.51947460617266,43.58575533688157,45.23974007528125,46.01622553014953,52.282990908953956,49.951699278645634,48.97373658190519,53.37727586027067,54.43783399412439,56.921153702111354,57.87147162288024,61.63051347401979,59.363807168003085,56.82573581660977,62.35242975382844,63.26603775205091,63.87003854062173,64.29086364346234,59.080617576534,59.64312516097885,63.58615032386826,62.10891891825206,57.4217784365248,60.29753498512287,63.930250796814065,58.67362768942237,57.70849085413955,54.748736144676904,55.576804617346696,54.6907423870914,51.473463710827055,47.263228345647825,43.68123850692923,40.387071313925325,36.981708351190264,36.033080229243204,36.47293177238539,38.76187390420336,43.27965502137277,42.893181518018224,48.44633875731461,49.4060598254669,51.38215567444683,51.84487258367237,54.29542035575814,52.811897427024036,53.81117917173615,51.403366523800294,53.14500563946103,50.875510160149176,48.33519963615086,49.280129736460204,48.884005286441315,47.72541265716102,48.77240420811784,45.647818904338926,46.795451037239,42.97149419658825,40.8043343752141,36.74713784400826,35.017115620251296,31.50344223265595,35.51103633608397,33.78551077166523,34.831593429240144,38.80168077262872,39.28939517353558,42.27391591048276,41.675604002043784,46.21979502300393,42.216799865434446,44.91074668266137,44.74797390262173,40.71422010254792,39.846885761173155,35.31362735087124,35.863153860302674,31.515990904352293,33.02652818948013,31.550731106510185,32.61690200015055,34.80253164284213,36.80435046782305,38.5867835439191,36.0838633110265,33.02241368873953,30.353678204645927,30.200056562615497,28.859702173595565,27.34244794430389,31.56724319886271,31.301929275534572,35.17325611244444,38.16282872494438,42.46062896961494,43.064985569672714,47.074368317823655,48.38032562390395,48.02100475654927,45.18714824238501,40.88396676843106,40.47006404133487,38.156688477608235,36.79142250459733,38.0588837934948,38.411717980446426,42.444446546295666,41.19426964888215,39.252309715935716,42.69561110945045,40.189244749962285,37.6303581146649,36.16852652598859,36.136076613167276,32.21847179728334,33.49695373360176,30.399450150449763,34.109287504002374,30.411210907539726,31.44236912215614,34.42008177632669,33.84245745543375,36.22328875230104,37.13988956804554,39.03879573470017,40.39798807816231,41.920215598908044,41.56418383981218,45.77402538257387,47.39522294045437,45.67733502656495,48.78973899592063,51.08779284132348,48.98584988001233,45.2133727232042,45.013118254747084,42.49293279112085,45.36223496810124,45.53040399240367,45.546384959995834,45.689783166383705,43.056607152774916,48.16482619764172,48.926945198366575,50.14140837781431,49.599194306894994,46.035907277102346,51.027999908243515,53.87882764585026,51.351922010900246,53.72703962913122,52.08164335854611,57.09706088326208,56.03958971507181,57.63965755478816,57.30440175090154,55.317019324585814,54.48291711864933,52.07061609778068,51.97837776394647,51.941161816590395,47.25892206059366,47.76580646498359,44.82964598338598,42.83402554418927,44.57036275990425,42.155666222045916,39.04887721352669,39.94463583523672,41.056758511480794,36.51815529524629,34.85682597427526,37.66966492296621,37.48357605664225,31.89478437711278,32.80084238432277,34.34489006420862,30.597482330075465,28.281737968173285,31.653570838974712,33.23008603467719,36.59867129703758,39.449101376622885,39.842037124130634,41.73772615891649,46.98748572836928,48.57785162369185,52.137397094558374,53.184578152771,52.098451025025845,54.51113382604189,52.3033161648736,57.00079407740966,55.950503353530394,50.5818008105478,53.69764090758611,57.43919670906121,53.61963244436603,51.77370650920118,55.36272324008189,55.435587295011665,51.05068089825302,50.72885673806573,47.023918575880884,48.73892231431534,51.12425355365231,49.10536780577294,50.27786605489591,51.32446389138138,48.60474748656762,46.06719096383295,46.31313789502664,45.39188533696021,41.74108699454673,40.89331188988231,40.93011880475715,38.09783831839989,36.29358359703503,40.2235906511719,38.72710721729596,33.959078554390246,36.7236258310764,40.36649684588416,40.96977935259163,44.469081678631525,44.71518517017799,48.76012567803509,46.496347339853465,42.14766987363492,46.704410331726415,47.84698153517434,44.58870100954354,44.71940991605263,50.41114916664308,48.57001567214233,44.24322075437381,47.59420372129738,51.6290096505388,48.91884963215944,45.65363272173088,40.98193805539466,44.31739237048848,39.86390548230008,39.63365990416591,34.762357498283365,35.02949704512943,30.497433797307796,30.448911171027984,33.23046718294689,36.65956617486973,37.360406851925156,39.07026299296588,36.01098046060725,39.345165978282985,35.885920171738455,33.35906464276366,34.952477316784616,34.89266936792668,33.5425970291194,30.740139711193365,29.976111096287397,28.688003412183367,26.78878056673502,24.604111151658095,24.783077687447335,23.13309582228834,24.14524439332149,25.268429605354083,27.02519293492779],[25.909019048682534,27.04643183868178,29.76287805532885,27.55280828978689,32.25363652667563,26.7064648224204,28.26857819405353,29.02449429433501,25.52877629270532,27.780633724180586,27.236127313422063,28.8435696222012,32.25681652436315,29.438902555325857,32.46460307563471,35.235442615610914,36.21866323722641,39.597100363819784,42.34958323871561,45.687056329371835,48.54527068137498,52.53614637330417,53.414792800002736,53.47681943285637,51.37934059822592,46.915030974318846,45.731829970690555,41.6788010435861,41.058443490332024,39.915896486630004,39.5189781102346,39.88619047874031,41.16251196007669,45.020547999024096,44.971300955275915,44.565427196383474,44.620776860334246,46.841984724942634,47.89982377495728,54.130898661830926,52.2069306578884,50.94308011681249,55.2344647720766,56.456741303334184,59.1789054957277,60.29706152947374,63.96139166195301,61.42534737643359,58.99418814462176,64.55961532415958,65.16880389521192,65.65104864966935,65.88022047621074,60.78821173663989,60.99436905095201,64.90457759461478,63.658876938847854,58.82170573740723,61.40583046576578,65.23653340181953,60.13695663920703,58.91839180409595,55.74020692762676,56.81834673956984,56.20200120962079,52.848975561674024,48.73297955157255,44.94592415377386,41.904214908072895,38.2002326691737,37.52335648474004,37.77778277448411,39.731387570066424,44.41379647707122,43.756293183511545,49.017907613629795,50.282455955446046,51.87875259976643,52.606368524228145,55.31110845216624,53.78766179150869,55.12458149780851,52.528353269988635,54.57629445746957,52.62021914173818,49.79171396133306,50.692062187001014,49.834045144565216,48.786208737713984,49.247778190091715,46.199835864444395,47.04872093125284,43.14629290686273,40.82899970654435,37.04063136771904,34.95560587946732,31.77967747594583,35.57345191402726,33.92662536257686,34.5123067687139,39.04911418556819,39.643617947451716,43.00091712839605,42.59986865793024,47.52113806589246,43.71502906490538,46.4067849554896,46.62333083516878,42.664641610539384,41.41061054779731,37.13302355189763,37.785017454336234,33.389077171971984,35.2803936620524,33.62422220205031,35.124718411838806,37.12764233907369,39.51618919563327,40.975137194031966,38.073502869555846,35.23854527327655,32.53019204193258,32.938235119072246,31.49367810037148,29.825661541514425,34.25283890638652,33.68937821115856,37.563282207860986,40.47516846946436,44.58678871657695,45.60295993504671,49.389934157349394,50.88528229043695,50.14567302180345,47.74517419995894,43.46932349728418,43.43918996909347,41.20412912613801,39.955216321974696,40.92577851836437,41.535056917688095,45.48599918953823,43.919267997037466,41.88600441842403,45.055583644675835,42.24170731707349,39.82468486241367,37.96696552250484,37.813122171672894,33.678841022968236,34.66834561198861,31.0616230595548,34.28620516943121,29.970425625651806,31.080087600516528,34.495167756931,34.403588820722824,37.013937256165235,38.1539174606006,40.45329588367639,42.34638513824159,43.72831154293539,43.95343259014301,47.95792255856178,49.968658356548445,48.67540972364986,51.66547808410701,54.2117317095835,52.14933522989434,48.4039164701087,47.970835656606205,45.302918321884654,47.80260284598212,47.6381668586143,47.330441281807765,47.10897049386346,44.29590098317841,49.19886650445983,50.41233285220758,51.61717384579986,51.56897036908472,47.85558649711111,53.077888929267395,56.097196280413776,53.69845802866836,55.982103783395274,54.28796459110497,59.43181808980274,58.72875554938569,60.25745004107818,60.04963153041451,57.93967608821783,57.25701398805966,54.83044222119398,54.67667051441751,54.686789039148955,50.066034666866045,50.35135088898869,47.43095566235586,45.10224096639089,46.7009977894677,43.94943501953032,41.09907364644473,42.24429240888317,42.947398121719544,38.334168204190924,37.30701587410362,39.807999039241786,38.98871047662163,33.78125645561287,34.89682347439855,36.0172569497278,32.03689405909882,30.316041649828176,33.604216297893345,35.530526620265775,38.390682903161,42.005679067954695,42.110623549889695,43.65192592209615,48.9417110980949,50.158914263507,53.948439414506495,54.74487289511689,53.78495484633968,56.08514237993557,53.87265504518893,58.722482128150254,57.83436544073722,52.64986756481738,55.68726844712932,59.63568809682648,56.01624931487998,54.174782360701926,57.82309413226344,58.143664554675254,53.816399208832536,53.485528005493826,49.571202052867584,50.922679334085494,53.13369660402197,50.84847919568128,51.70018434011251,52.389805154522655,49.65722800930532,47.50089696581017,47.39098300721982,46.136451498108244,42.81344570495141,42.1261791633271,41.66468480389362,38.70261100666756,37.345249910016314,41.08155833616054,39.19076239876467,34.58572548308023,37.69975573119918,41.170508831980555,42.16612556711621,45.61430233079613,46.013900281297026,50.149772165579016,47.9530481706639,43.90085823926856,48.513264567281794,49.78421041223787,46.656942026365,47.01345746660049,52.664558183095444,50.99555666974024,46.88360025117037,50.27225225727555,54.290602389631154,51.74148513144516,48.62252019311925,44.03993728704376,47.556010216569575,43.235813270543204,42.62953595465445,37.87131348955631,37.80422632992652,33.18575278390708,33.649445227876825,36.459362204370045,40.01979366263601,40.63947267430158,41.95293576531151,38.77650131510631,41.89976403533424,38.42677482397369,35.54054814150354,36.613348573250526,36.15764820577689,34.621975365731764,32.46253646544798,31.389911017503326,29.56348999834523,28.16575701156917,26.33126434926421,25.68571762524807,23.42119516703269,24.256255694632134,24.91369869831958,26.479688900126675],[29.398685008631798,30.11027870166879,32.45919015033226,29.40350826214245,33.868883761536864,28.45953520024099,29.343308547795843,30.221621304866332,26.163440033697068,27.534259619819206,26.680655227242028,28.77310772350369,31.77141437515206,28.348945859875208,31.114380453504676,34.17383319065986,34.985115547383536,37.88862405570597,40.208844476752944,43.86745193780584,46.36633271348664,50.515918785304024,51.07905288020359,51.167649319013414,49.41384631400801,44.91665530186241,44.185733236549346,40.30226617295773,39.78175731260638,39.04052599418089,37.98939894335354,39.13154191250356,40.25251019950678,43.71460018590663,43.8800715347669,43.23980517692419,43.865974626496,45.71140717905109,46.91510788677219,53.269062544577224,51.01439298415732,49.373992121870856,53.644367257147344,55.16689106645594,57.77176520269129,59.1560254714386,62.68920516005803,60.145226194588346,58.07419585970943,63.71851267118394,64.19948463318953,64.94771371719445,65.00145173675247,59.69274539611669,60.129399838998665,63.78513901360454,62.26221050074976,57.454169979528906,60.01396217022554,63.623672271802064,58.32294403358783,56.81824171597534,53.67347135209223,54.35415046018415,54.014551990702856,50.884422303403625,46.35365800265728,42.78375524938828,39.388261853568615,35.80167917045514,34.84167110118297,34.640673373461325,36.91660222387578,41.57807400915073,41.4168624348182,46.570181461618496,48.22259262020736,49.98175575852801,50.97702229298431,53.80108444316447,52.74381124647648,54.270571724384055,52.14721425476498,54.30588192355171,52.16394372733998,49.16095528662286,49.56551800973369,48.95048645785584,47.30828736665523,47.801053831064024,44.404778362196254,44.897703524236114,41.1579345395241,39.21698155594699,35.603678815705194,33.32276957016568,30.330272826214546,34.79329371807022,33.65981864119468,34.99076905447679,39.06580429227017,40.43901592211376,43.26373177827289,43.49135682312576,48.383499195231714,44.84752406544912,47.945212991550235,48.14048141689122,44.39008025504839,43.06138837515816,38.737926142989586,38.70546371758117,34.10544965133366,35.45291548575563,33.145355248610365,34.39043619593511,35.92979949090816,37.87554697134687,38.91076417019951,36.246418693969915,33.35732691472501,31.043444401881196,31.675149832991497,30.81300839711307,29.80315708738799,34.51343426690425,34.90006163969036,38.496650266357065,41.68898185430794,45.63831964209875,46.88777851538407,50.820314733538,51.88241944936564,51.113589223168105,48.43971420564774,43.99704783661148,44.22972984032859,41.451346778468995,39.77673379782947,40.54130691385861,40.533628266134045,44.208304039775186,42.56957635720989,40.89548251025972,44.05928004917712,41.39117614941831,39.19071241822268,37.66625846939125,38.04609715382042,34.14309433859273,35.78538749834606,32.22353517974874,35.844171765437046,31.821305098437065,32.176741006170616,35.38998382914678,34.87685250524965,37.85666738410363,38.33063061329178,41.0900415612507,42.56857815336392,43.36871479613424,43.53051610463343,47.457109944517654,49.604468927865874,48.28737084321115,51.644422361494684,54.078439921505634,52.37727730701307,48.45536285670844,48.22973240456816,45.30554361937802,47.83340646671881,47.729893285489,47.333614999746175,47.3573174331673,44.20652496480002,49.30437827724506,50.30164583833607,51.84497498221332,51.65954380398404,48.45957194456214,53.67685238652355,56.59133530753598,53.96895701183396,55.77719870868118,53.70641271707484,58.893897808097556,57.972902728620944,59.88691944749675,59.88612247943615,58.021659676918404,57.614971803133976,55.441499727899675,55.59577928224051,55.92252655538746,51.376591546509786,52.04706770307141,49.42466277992387,47.12540138855836,49.208789715083,46.50071916522193,43.411137156191835,44.84278813398842,45.92098330642181,41.22820016544101,40.0238523183755,42.96171691651488,42.448663563737064,37.060337015154964,38.319154378445916,39.80998522564172,35.81112504213524,33.929896873625374,37.50837550455154,39.116090394062105,42.40343916903803,45.44291866797271,45.57844460417877,47.43752918919609,52.65679603588724,54.2028240827185,57.714115081683644,58.479238433220324,57.24956856026618,59.42325265066329,56.9456631650514,61.727328403775076,61.00205468482755,55.55196862337445,58.395944935693414,62.39726109534675,58.730869425453356,56.639669649873916,60.08209875182235,60.53254565370136,56.21479254644614,55.397306111272094,51.86612600990347,53.03314266915318,55.50165424123511,53.578257134896916,54.364541869046214,55.37688343466189,52.31655318955586,50.15928017776419,50.55603290142926,49.180618404040885,45.597987203953366,45.258233268424235,45.10757812087022,42.125797375974145,40.79250708601528,44.84144402982083,43.12910889893498,38.5014443793575,41.70530946708368,45.31323564065418,46.10014478412157,49.41155075481974,49.47083845725319,53.66660960107147,51.71904304824125,47.35322415712169,51.76688007633435,53.22972904245112,50.08650396856627,50.0129552424414,55.804688477126085,54.277137832421865,49.863091503913296,52.992397486852504,57.24485165600263,54.74475958849834,51.41748511409237,46.73539149366577,50.25297285744868,45.830593351508284,45.719790233941076,40.73974461072516,40.75658176880952,36.09152161365573,36.257941254989504,38.843437870066666,42.30270431794572,42.70225826230062,44.29704092609754,40.811963817798066,43.81643738053924,39.99621669003718,37.83441301577929,38.94387183745428,38.8949926466553,36.92180820406023,34.69142223601852,34.331432482451355,32.42034537213271,30.29206796322057,29.103438854519734,28.974382129699823,26.708078990242154,27.133955116309856,27.942835895235735,29.681877424900176],[29.481099939403222,30.268330850160854,32.341086247075424,30.117694512062062,34.06790863825347,28.031420122737835,28.866227906981532,28.85366974404761,24.9997469240241,26.90827414382325,25.582035219800016,26.83206445799792,30.723939109967944,27.961874416531042,30.17779385600993,33.049186444301284,34.62941490280004,37.62459910253261,40.62855720428633,43.89261973898651,46.71766500688944,50.75296288343154,51.728122517187394,52.17626209777149,50.14094216654912,45.68368374974136,44.581245651912575,40.567904440552894,39.430105942948835,38.057121483506485,36.7922695595378,37.38385449637397,38.07835103308371,41.81709656960452,42.28395341225959,42.23072178723615,42.569047271796784,45.22276317436117,46.6849512274319,52.89035238841029,51.31373378291216,49.5218197301421,53.634384354438,55.18313595334503,58.13064984748412,59.58681134837029,63.039087473262036,60.174680961267654,58.080891704962475,63.702408980273525,63.86206697556274,64.34124506647198,64.2452878816673,59.215210970341374,59.12343893807822,62.8405160956831,61.7300104016955,56.7602866464621,58.99278737540815,62.923775203778156,57.94229476706384,56.33282223735261,52.941478581167374,54.15478188887116,53.9445241592658,50.53910234698874,46.41603646941529,42.50281044710398,39.67580174094557,35.711615274195545,35.284518203863215,35.22124513458254,36.82248883564837,41.62474697544648,40.81405773836951,45.67766232290134,47.39349617833948,48.63638736202517,49.75302041173743,52.770973966053816,51.44185605586815,53.25043928209252,50.73081671625441,53.18245073898128,51.497909830541865,48.246542023456755,48.82044268475224,47.5747668331099,46.35879325552369,46.196820620796764,43.10126598926601,43.49529635585603,39.606171700684186,37.31176906156672,33.92247657403036,31.412523703641924,28.719470771736063,32.56162388391609,31.316829404282977,31.907425756581294,36.66243130342816,37.9039852570734,41.250963298736316,41.52395194934382,46.80878400562392,43.47939364961764,46.48495036841118,47.14714625679456,43.49953677429742,41.70993672070533,37.75103110811858,37.95766204369632,33.408705120682406,35.35956141608358,33.099142885449254,34.979076058569234,36.48065833324049,39.15762303415235,39.98977805136164,36.714184641938346,34.19319860394466,31.64584972962638,32.86949947364414,31.60593260705117,30.163815623531672,34.963975835376445,34.73366800854877,38.33965836205896,41.34725941417141,45.05509838315405,46.797408710734814,50.38374951562603,51.758266067683486,50.50203340406692,48.472582968424405,44.14148498035387,44.84198435950455,42.33184130543054,40.97163112779675,41.37941718994719,41.99455124563527,45.67332793492138,43.64231256698075,41.68132599076594,44.459353420774534,41.36178454471202,39.269642306636364,37.14432297767307,37.190458800216476,33.02031350902542,34.14555833369734,30.06334069824032,33.03289005949224,28.404710465972027,28.94148934376367,32.599739114903215,32.72235618466484,35.81627500703762,36.71903681823394,39.77303472066972,41.99323044480306,42.81569239367126,43.726216789606866,47.38462217176947,49.968919960700944,49.25050247952599,52.28531120182486,55.09875164195073,53.35405434105989,49.544659226883795,48.92368530924918,45.89188928886288,47.89699020767825,47.34813791420386,46.5849062680009,46.095622679781336,42.876103354082254,47.63164828671822,49.213435442684066,50.62184463219935,51.07679351441244,47.56704902886208,53.03472580588084,56.17432032938728,53.79456381500079,55.62765108536071,53.65000324058956,58.95376050648153,58.59856433672152,60.25560123079306,60.35928584135149,58.25246583398807,57.97230817049876,55.727675920062914,55.73319799823077,56.07807852583224,51.63734662497559,51.9527412896956,49.358686278355,46.6127531328247,48.51275027198821,45.38181270396842,42.63937282445131,44.4204383776056,44.987803720961956,40.22528487239429,39.875577658010826,42.443533791565294,41.15763680990039,36.28823032629044,37.88426732118752,38.91941980504106,34.64230679845498,33.55864873625762,37.14841306488893,39.08252101195705,41.82281247443976,45.725417351835794,45.373941924775686,46.83944470975261,52.04346908122532,53.2149302637617,56.88301794228364,57.2487840050751,56.092081918990296,58.060876347389055,55.52998415634472,60.47597812175315,60.013152544316696,54.787978003866165,57.47721800133563,61.75944881973169,58.39291468017911,56.279631577056946,59.77632933850445,60.61046464299489,56.397362993699105,55.52971196014928,51.72416463720362,52.37009721122634,54.59601821424142,52.35945346155063,52.727061208032254,53.32900854528045,50.245412051029305,48.56344184287909,48.58007247329744,46.80562802912257,43.612553466859325,43.513075389019974,42.82858228784194,39.727057376803,38.94338529520576,42.804016983604065,40.70808094261327,36.3291547281228,39.9568531147693,43.375027183183455,44.55461450881619,47.70581351385555,47.84509982548777,52.14549518477829,50.39862639723372,46.35093756874624,50.74654342066504,52.44989106939143,49.51557709915946,49.62970320675379,55.37468082076037,54.187902122360235,50.01967254936246,53.1135070553591,57.402962341253854,55.21686039932676,52.069302546996134,47.52172941528624,51.394904703675714,47.20165582013935,46.6195550023576,41.73063951291349,41.17513417351002,36.3794770802825,37.30544921493672,39.864949224393904,43.52360556740846,43.73002281458753,44.7112961801141,41.03015678992831,43.72069715292375,39.92734956897264,37.28051191218594,37.72337957937158,37.210745474444934,35.0326860900989,33.60450995335353,32.91448387468371,30.395420926066148,28.870933819205593,28.15881742135281,27.122599403177663,24.252990661287814,24.414662715806756,24.77384724541793,26.304325281814045],[35.14838552786128,35.66336989129823,37.428120588931215,34.65882537954121,38.281936663095884,32.31945788337729,32.47789365234467,32.325186695817145,28.033928269506795,29.05451181614667,27.180382072981036,28.62975424616718,32.28589706107788,29.091719801886423,30.608071917083986,33.729940481650154,35.41321255692713,37.7186964370783,40.372466723110556,43.87482942796015,46.293179590463815,50.467379916140246,51.15939501860571,51.80492439538436,50.162698915307494,45.725528612473425,45.109436786975614,41.32808419005099,40.070248009716956,38.97501121985133,36.66518120383829,38.08562600297112,38.288469088175795,41.53477070866564,42.504761770969715,42.43125485085603,43.430199975425836,45.92211745806794,47.68215641025471,53.92419250008913,52.20714395679415,49.85493450681144,53.82568898231616,55.792468899144005,58.703919627236786,60.53594856093949,63.75776940920857,60.7658325472898,59.159979623768635,64.83983241892344,64.69053248045897,65.401839991152,65.00111986140445,59.83299044053813,59.80778141923317,63.17589372455555,61.88482583799676,56.911654547779996,58.91996465828386,62.669400980497926,57.592072328638864,55.502397915837626,52.052438570371415,52.927198971982996,53.22343508537849,50.04475860015271,45.541882544401886,41.82897019955872,38.79123995519637,34.870480807500776,34.288372255196585,33.53796347595326,35.26417155036373,40.05177584042676,39.69006583940133,44.13341366902884,46.51123869566554,47.68803393737027,49.28992247639681,52.572085979299615,51.79130128518131,53.99488187610154,51.94785292170009,54.66145938259637,52.952884302905616,49.39401225298002,49.362441641345576,48.15204097072153,46.314654185623176,45.824686943614445,42.40153370433438,42.13797125582968,38.47121161166094,36.597178565623025,33.70010401625291,30.770129090626494,28.645399427544735,33.04038682638534,32.507631829633766,33.687084165458025,38.096038840447356,40.258190987083935,43.13519062672942,44.20215116811093,49.555741845868305,46.650059863578505,50.03548282890954,50.829304205770335,47.45908223019159,45.46534425592814,41.61797488902552,41.17785779997118,36.49234727266127,37.99861748267768,35.02592757535656,36.78387816429206,37.66046750255145,39.981889945780196,40.14845097124196,36.99989105842997,34.611882358706765,32.565247745826014,34.26978877068915,33.60995864140702,32.822499973497344,37.871263317659675,38.468729881377804,41.74783446734991,44.963536168702625,48.39046629813694,50.508095646480236,54.1222603284423,55.122205304707904,53.69044071172857,51.57984686993375,47.13827149998028,48.24033659017698,45.243617357006144,43.515513987342075,43.58308592413043,43.64934334361932,46.93665211967591,44.70872862934944,43.13139858984032,45.72384701095079,42.68715870672998,40.94357749215903,39.03511984001531,39.600404185986825,35.67513878218912,37.32941900808192,33.1781916203327,36.25386585342035,31.78918401508525,31.51449601990737,35.056094994255844,34.95910029761864,38.49298237875864,38.75373996493951,42.44258324265625,44.42763576360738,44.53588318992512,45.643713706604096,49.06572429711946,51.95104486966408,51.4045048166646,54.742940248770644,57.51762542302816,56.17947752682753,52.23335185708356,51.74009161652802,48.41641224049616,50.26721872268018,49.6385797558401,48.63478601472378,48.24137787627214,44.60537791951961,49.39533029776835,50.95037236899188,52.7129986520848,53.25519922746987,50.27012295783472,55.77627869791088,58.851731822025975,56.31349173043853,57.57193176650597,55.1754956341576,60.539196294826304,60.120225317694164,62.15398178023398,62.54036186876858,60.65522575203422,60.73591191135768,58.76621358866937,59.06380074172912,59.74627422091255,55.43288661694398,56.04281647455826,53.75629284945068,50.944920418654235,53.240387888745026,50.05825376501548,47.20348897688572,49.310333158960674,50.08470619439569,45.264681618495096,44.93767741580512,47.7797167936678,46.587006466140856,41.70205959073906,43.4468916371299,44.66975926606961,40.35096094539147,39.265305977782226,43.030482401437006,44.79509493224965,47.74551774698898,51.36200608210533,50.982731577292206,52.61212160980842,57.758393589253025,59.0887049403038,62.58831719522225,62.85146120885688,61.50376023762781,63.31148188781183,60.54553423337405,65.45990329463247,65.20947603347877,59.82461761386475,62.29371816186381,66.68201758465808,63.351846281241414,61.01623431472326,64.32303341315608,65.36145338351247,61.189395254035304,59.86748397570489,56.372695340942,56.71426215740988,59.110019620358905,57.1348194710449,57.31485322489055,58.08303371582119,54.69938217745317,53.182496280775744,53.54507418265127,51.54165108008188,48.262082732268595,48.547583965954075,47.97539677567765,44.84434014025951,44.242957891842636,48.275593071339834,46.218632617542646,41.91919603885158,45.690876752778706,49.144971904939126,50.26620379493608,53.269957049233604,53.162095712851425,57.521236379971285,56.021166766954586,51.81494698691658,56.0342378886027,57.936817284188585,55.035086391422624,54.84523984123404,60.6810398259657,59.6652166976492,55.307454480153,58.179220737057044,62.65730649505717,60.55441200301371,57.271711201910925,52.67002089197434,56.567339962795955,52.31560199132944,52.060039230599266,47.0292623819018,46.49189441347747,41.66110227686641,42.42958532409889,44.812895258794875,48.399662035339674,48.40633914956297,49.53412944409442,45.57103018321062,48.07076589870065,43.98343941715083,41.92032420289569,42.22784271715319,41.96468770609838,39.342417853244704,38.094707375320816,37.956148866602355,35.24203568721603,33.249473049787234,33.21033323228552,32.41183644028361,29.43495135077597,29.178671659198304,29.476997727887166,31.0499610507228],[34.03121842324792,34.37078548239814,35.72596438162757,33.33093440834937,36.41869573868459,30.179318466372433,30.11150223967295,29.388846915669422,25.223242512679132,26.42871010180585,24.251640878195314,25.17650704273186,29.292248955533896,26.568137079668748,27.71100314159745,30.66325001976386,32.8129275275741,35.1939777940717,38.321354059526904,41.49786421122145,44.168360631154,48.2196861122435,49.230577340250505,50.09989418828795,48.21868695281987,43.8380179316184,42.92777200559587,39.078522959899935,37.42759703256552,35.93430597754542,33.578930197886145,34.609309696147854,34.60727550330434,38.03452538279302,39.11394881009036,39.38560038926053,40.168434411552376,43.14127727564795,45.04332765264103,51.153547871900585,49.893133453454396,47.48668858317415,51.34427192562086,53.286975797755076,56.414918951602864,58.26937504151411,61.43466731969024,58.248733911139965,56.61281077072426,62.254626512645515,61.91245516055494,62.447562151093614,61.970853997700374,56.99878697798199,56.65022868644223,60.06965590120229,59.045802634486556,53.990987474363,55.82315692250929,59.77500331745889,54.92023322437164,52.84685691695377,49.26899602381022,50.53685470802014,50.82187566831922,47.44693838799679,43.295889658721414,39.34922549702818,36.75551874516554,32.609894779720456,32.43352698600708,31.93623267861706,33.13395533388378,37.97523477464497,37.09456138408711,41.420109666544434,43.691644816087475,44.57118727548509,46.15737825265916,49.50408024752404,48.51320098870958,50.84463799897654,48.563908304900046,51.4312076373418,50.00334879432855,46.31517536439525,46.41047283504461,44.83170096812701,43.30505593275852,42.47867211643507,39.28859859594736,39.09204754234484,35.311677189764914,33.17653682953509,30.36015140042788,27.37200730157383,25.385151597376773,29.345140286905654,28.74888997826713,29.58354597673032,34.26553699015654,36.409064234733826,39.48988002990936,40.645473268960565,46.180019987665155,43.47225834961214,46.85382803239782,47.9343084812394,44.71982936830869,42.42770101817075,38.85859685641961,38.42661299863903,33.81017733628171,35.61544841335435,32.65242641978607,34.81048986719451,35.63756030104255,38.46720704067134,38.52532277357869,34.96523043617203,32.86119013987217,30.6577063215594,32.75561911954712,31.839856986281198,30.82859279599901,35.89014620339867,36.22677213968049,39.398138758493026,42.503348982741706,45.6907799669908,48.180537765191666,51.553102484564576,52.66863034879432,50.908924530138144,49.2095969352366,44.8600890731432,46.339971812971704,43.47826066570835,41.94834992675528,41.72780634447998,42.2202814391867,45.48005979205353,42.9837481139411,41.212881049371056,43.51430904147142,40.21522529078259,38.56680934448058,36.29717315688374,36.688502854795004,32.68062871252389,34.0983635073929,29.712817083004065,32.45281863642052,27.835179981183582,27.461865055460745,31.144054454564568,31.33920679236536,34.94835009340815,35.37271368806515,39.256730584263956,41.64221173883848,41.717511059080906,43.30969794086095,46.51936939921304,49.68691037099827,49.57026260459886,52.68372754539103,55.70828348548329,54.3899759333829,50.532831869521324,49.7762780806625,46.36990512694745,47.83872427839188,46.92052581169685,45.67977678661128,44.991526264628696,41.318803650388325,45.8894121776648,47.76440921497953,49.454735405094794,50.38045281322774,47.273818773657474,52.901306290343705,56.09205600555012,53.70486150753313,54.93383780612864,52.59940753304977,58.014082762600374,57.97814650042589,59.83313339160641,60.30337725737846,58.28110332770443,58.48014507581422,56.50853223171939,56.75286728890644,57.511627475085426,53.32381964055633,53.76964277250882,51.6121446208261,48.51502698025001,50.82222657644966,47.396777299635595,44.72799237455452,47.16338200299401,47.71769091689016,42.87570509638926,43.09604409056032,45.82041536179056,44.24180853624668,39.70387957438401,41.74249071322538,42.81672498763329,38.3564231445069,37.7815453749077,41.67617105266918,43.479684499641344,46.2318105399828,50.15085820739709,49.39131964580929,50.884397556375774,55.93183104701443,57.18201357168857,60.5924998062659,60.54203013732242,59.107486468562975,60.69898909132669,57.797040772919985,62.759292428250994,62.76241133970855,57.45733117127832,59.721914418272654,64.30222981191119,61.1928396162724,58.75967972201206,62.012371712670195,63.37719751496177,59.316730970293456,57.79665127543487,54.25102334982584,54.154574379210544,56.44749605107409,54.40555068282263,54.287540680587625,54.9193054711531,51.42606699704073,50.21551795207897,50.53739173260812,48.2663160109972,45.15119131370303,45.72440840037714,44.973810963980924,41.8048975892143,41.55774372175571,45.58004195427438,43.42233022400182,39.32365521656639,43.35778885668237,46.73294414045676,47.966800202133726,50.751253850625,50.51581936026605,54.93415207331754,53.71900644839157,49.60600280650353,53.673401487572534,55.82954742167536,53.100108791170356,52.84095294576107,58.66046036643481,57.99035334872751,53.710014498110766,56.41157362987637,60.99586781671041,59.19220337583765,55.98044524332356,51.48182655599572,55.66382898428888,51.60232939294995,51.183523496998646,46.156434531565395,45.18096697223843,40.28807154362289,41.53386753298668,43.76332144839685,47.4381430081376,47.193850815608066,47.92137104630627,43.741288345644705,45.937919452711,41.81961166365299,39.66682700609271,39.523104127601755,39.10958936353766,36.24640456143282,35.51771309327473,35.43184227772997,32.35535798447354,30.527611843213204,31.050284882274138,29.905726113086903,26.664312604344556,26.087226536674372,26.208345197456456,27.70781866453068],[38.13845391788345,38.41869934549289,39.516757495808776,37.33438822436931,39.99217274411453,33.641433551612046,33.25048242785464,31.996140997022938,27.91960798132826,28.91631368265937,26.272433001806636,26.695943931113945,31.068737227816154,28.644172695306814,28.96477609325451,31.81078852545915,34.45250287514546,36.41579112538852,39.694094957240445,42.679458420791136,45.26849125411472,49.25333601210966,50.34845572475237,51.54244682788165,49.73827221327718,45.4714956400439,44.62394060716147,40.90961714546225,38.84684674980918,37.14147716138976,34.06917629048028,35.190288827526224,34.55043025350088,37.775654969934756,39.37978128443218,40.051120880292906,41.016852477065754,44.37013826883369,46.571256748506215,52.50633889827416,51.61072746281607,48.83251109351138,52.447426056531455,54.6187106430858,57.89944283134047,59.98517945429289,62.93549188504153,59.514650124926796,58.16083658179812,63.7550224026661,63.04020938475976,63.52982335705408,62.78464738122702,57.97363210306832,57.316022048388874,60.529430063790194,59.686270999106846,54.5828371432412,56.03340101925989,60.05070189633554,55.41014848264003,53.00257969606361,49.26827752684704,50.67784376473942,51.353823962418524,47.984032190627204,43.95642851541804,39.98536403657354,37.71723279334349,33.47278276794305,33.56759412051457,32.77158405657355,33.53351353044308,38.3206641573975,37.280561052370714,41.02252254031194,43.71976063381837,44.16253105989078,46.12012254155732,49.7154625109461,48.88558488135457,51.61245795679163,49.37921539676933,52.55150056479922,51.42876854736194,47.46427369952078,47.31494579823681,45.35464999045679,43.775814174492886,42.28760916303418,39.17722015227918,38.47669675136934,34.820356205816076,32.75037234602147,30.53828760727988,27.205094737352987,25.9424607333784,29.60239013723353,29.414753836035345,30.033453839185032,34.83977982953207,37.3941819144632,40.4756503335344,42.099250607200645,47.814601855405115,45.52078525379209,48.98465320956857,50.39730363237857,47.43636124002879,44.81509977128822,41.59265905904282,40.98350312938875,36.45238135651101,38.321780666291446,35.10950990396771,37.49411806135626,37.95395070748095,40.94073844037351,40.5245640445634,36.76808283705373,35.02152598267105,33.02737355610737,35.62069321315482,34.81876934164739,33.93014459706716,39.01249330966311,39.407871922718506,42.35893110770707,45.401937427036046,48.25500613146451,51.170116090189076,54.3154528121883,55.407499585001936,53.29877862226849,51.95533255210214,47.68024439570929,49.58384103259898,46.67393376395729,45.156735654496515,44.58581656662116,45.13175608272971,48.14051384110419,45.367312387596094,43.67115738627266,45.605635680763605,42.151523550461256,40.79529991595825,38.342530595250075,38.801336396549914,34.885359001547,36.22266443197169,31.62971462833462,33.887324811341976,29.13299866006987,28.406352022324427,32.18334772810951,32.686093783802015,36.50596157087226,36.83174633575374,41.15848144346517,43.817945068834426,43.51605804803303,45.63353244957889,48.498458430334466,52.03660263847965,52.3484359367404,55.39762701903839,58.57945394970027,57.453700195214694,53.63286476758594,52.73575552602692,49.174200244788,50.24459385811404,49.035126895578884,47.45972382804416,46.51194266140874,42.63203704275173,46.900491568761254,49.114939876768425,50.89091329107334,52.25634895398667,49.293653367595425,55.00932400967067,58.26134910159197,55.96480843368641,56.88450247890805,54.40858603107947,59.85870210351866,60.13028581195592,62.01314354308133,62.69123578449289,60.665784270586116,61.12298633596561,59.2720811683181,59.57620757951311,60.50496464331716,56.480943312864014,56.868654468000564,54.89539041985259,51.56447431907123,53.92454739265457,50.28614603554351,47.800717964306756,50.534535866335574,50.898269753949165,46.06870949480754,46.73773326643461,49.34886640822717,47.42346719188026,43.22989328132249,45.457903076351755,46.35787264679844,41.818697245013304,41.63916411658667,45.53432999210371,47.41250058091973,49.939669444015344,54.136438721304145,53.14065078906281,54.47985806045331,59.44860361437269,60.54619912599496,63.94888276004988,63.633727909834676,62.17026661327329,63.556604823091014,60.54283656398906,65.53781039895365,65.79149498633844,60.58938099445518,62.64230712782601,67.3914177191661,64.49122770762972,61.965677157458316,65.13035113810113,66.78867854739097,62.835437400010626,61.09491339358115,57.57919161185842,57.05334053612955,59.263691195104634,57.18985999909751,56.73446818530738,57.19061007061929,53.57804097881583,52.75771090519799,53.01559838367852,50.42108154060193,47.55699300254117,48.448910717626454,47.4466934308084,44.25312745445512,44.42010054332369,48.334604326569554,46.0051890019627,42.17363062581864,46.42659107823179,49.651453668115344,51.06684447903738,53.660629670124216,53.36611971623325,57.81621966816463,56.835812084184596,52.881822485692446,56.81501440334794,59.166089136804324,56.58933709538302,56.3056817277672,62.08311810174503,61.66892405345073,57.47359948953001,60.042074374578675,64.68834219458894,63.08985358321204,59.935148861247406,55.51324592008875,59.83929637113211,55.88327054007453,55.37395457930646,50.37862844543229,49.16515378193765,44.26029681906537,45.764344673076536,47.897352442899425,51.59867655873363,51.19205551399091,51.67960989292349,47.33677978536916,49.257293545288576,45.08508638567774,42.980583908716454,42.41754870307139,41.86769824911925,38.74120150665278,38.575076689378804,38.55978260332143,35.14762832538534,33.5032615288678,34.547570655949364,33.072447297609564,29.585939440136645,28.690221225726564,28.490261987346624,29.807681033302753],[36.64366614533654,36.589736682648365,37.330651536527306,34.843354703902904,37.16047688873403,30.934193675850587,30.155424384898346,28.9121016075478,24.66663337509226,25.267309025783092,22.505670081923434,23.119133892317095,27.253538409969106,24.70811120077281,24.933773711200956,27.841843313196726,30.418328910704357,32.3075608897871,35.56107207681247,38.55794734323203,41.138671981761334,45.12989142527242,46.22558703672642,47.42389556892838,45.60925117243343,41.34909476567706,40.52477954047977,36.84359922503188,34.7896735312341,33.1923561762274,30.074665029912936,31.38748817999381,30.874545771415537,34.03361440291444,35.53326968271195,36.057976689670475,37.136647515685894,40.33799584071197,42.54784215224016,48.50569402967778,47.542699156242655,44.72296328200212,48.34711742093818,50.53801777208987,53.796865751815034,55.914757694895805,58.847390025964636,55.436326532026094,54.12926791777756,59.73556168735425,59.026584690718146,59.58166271229555,58.83865151716313,53.959819921196576,53.4085931783286,56.60468482962179,55.67145214735646,50.58358265874725,52.1185466464023,56.083039740802754,51.37073068200369,49.013803020746224,45.31777484027884,46.686662019844654,47.28540613978444,43.92159201408057,39.86424898483262,35.893496889799394,33.60151395097786,29.353036930433767,29.460893079334184,28.752069075370557,29.494631450530566,34.30167297691615,33.260812096549095,37.16547213045114,39.756690112833994,40.351053949926126,42.23061616453922,45.77786673939665,45.00938937838145,47.694250482046385,45.59950675721672,48.74278853362429,47.52738125085836,43.554399706461965,43.315364086042365,41.49246817655383,39.78617253419559,38.48391824456346,35.28122742461051,34.70681739098231,31.01841146787539,28.994104265083465,26.640338744766698,23.35922046404818,21.97544003755367,25.9054874806488,25.841410235453555,26.93134363500118,31.36749182265104,34.19607469956032,36.966338529825116,38.79230099772217,44.41573540032892,42.22807569357695,45.86853267850351,47.244764488139644,44.42049145496199,41.78178951937672,38.57269871579738,37.631880083648554,33.07334066690556,34.73088919287425,31.316880376667743,33.677364148999786,33.98244537474374,36.9694905169575,36.449822684929124,32.67061781662622,30.981410667903756,29.058163627250575,31.804783525345112,31.120267406401375,30.428343768385854,35.5426867364702,36.29142218882368,39.04967514392396,42.17307380425851,44.90059918086276,47.944903342437556,51.106918075797836,52.00260565500542,49.868826599056796,48.45340452135254,44.15635082382995,46.23865443033113,43.169848100223255,41.56728292047665,40.84242950026416,41.31546260392585,44.21915590032973,41.37437111910048,39.73366494140374,41.603891909575765,38.17471423706982,36.896361136543014,34.53118600691756,35.17089962532879,31.392537685674483,33.024518356373136,28.561239522139257,31.114299225740183,26.766252743410757,25.60203010925108,29.116522489318093,29.297745285691295,33.221587343897006,33.23268891455514,37.68041472529625,40.146189255951086,39.652966408834565,41.77185954548494,44.57970439052654,48.167413978848984,48.550871052551116,51.65582729282468,54.83699690688025,53.8506292512676,50.012748549494994,49.132334423181355,45.48235893870858,46.49195044561946,45.2881373867051,43.693932839579176,42.863708036815744,38.90045035357958,43.275794850411096,45.33940326481342,47.22296208864002,48.495562409716264,45.734829201781004,51.41692707176644,54.616091568632285,52.25277381873488,53.01701994043429,50.45011387343875,55.90005881584329,56.14462386853313,58.10395485567553,58.848978718100646,56.89389927174893,57.45714939771188,55.711585398334904,56.13481542401612,57.213957871368166,53.27179307274731,53.817068342869874,52.03891354336927,48.70401380018909,51.33314805763468,47.73290549405527,45.134405914071266,48.064278400015525,48.640327457257996,43.798668595923665,44.439647053576955,47.28765146121607,45.556115160312295,41.30814842022273,43.674219779265144,44.82119038605063,40.28987502388216,40.08507437776348,44.206458975311406,45.83862678643962,48.63672393896224,52.452779706572095,51.36446353549753,52.912252295463574,57.78043972302192,59.15317472227809,62.275804223218756,61.89758908469512,60.20727296519276,61.479572602633716,58.280003131137754,63.20001351201815,63.579641022402484,58.219851844836676,60.11548269560068,64.89534989792259,62.00718520994788,59.32057185133193,62.34011193879937,64.1274316579926,60.22290630134876,58.17068404663494,54.88016191520942,54.19090351293469,56.53372055122768,54.70307443476475,54.22216189016138,54.93278624258216,51.12591667733518,50.26224284135936,50.89778919672481,48.29052084580487,45.214973551928935,46.322723412410156,45.616792369896814,42.453860145155154,42.57848890587734,46.73085206495389,44.627174243468836,40.77805014942119,45.04472949232686,48.38733427649905,49.57943250640694,52.03204626902979,51.447085188545685,55.915534426726886,55.15983753337053,50.97667970105106,54.71858528850582,57.23256661089919,54.68597882138051,54.081435073807775,59.923291021701885,59.692640236995175,55.32924503685832,57.66743221530484,62.4740335260559,61.00861461867687,57.75758093555433,53.33723470510565,57.75461212176599,53.84611313144362,53.57706330179981,48.470337674414736,47.148873529058704,42.23900500473114,43.73037856879661,45.65113498675546,49.29912022416422,48.67478569833336,49.1792236322676,44.640126647274535,46.40632346788152,42.088175565299274,40.3858304053816,39.805869536968046,39.530087321001766,36.17656541943682,35.96556949257879,36.41178681394417,33.01564364774818,30.921604416308107,32.40081649314781,31.29379889725379,27.93748517099457,26.813162328983573,26.83297198591298,28.328985352744542],[36.10294695365486,35.78006402171451,36.33816245166434,33.31771003584054,35.530162197038024,29.58935922152189,28.48599314380899,27.581769584816357,23.065181378461297,23.06019940520441,20.334989454162606,21.538423501333103,25.067017074660104,22.047708278569544,22.382260060965162,25.489488600211743,27.693184040880976,29.419354295074733,32.34619952355407,35.573893671976364,37.98060194925901,42.066247768546525,42.96753815443858,44.05876777400803,42.38559283737698,38.08986594195826,37.48701044903151,33.88478466714118,32.066425294761466,30.851865149042023,27.66960056699088,29.487504650700988,29.23689658247362,32.166663980930146,33.495211985886655,33.63565921721985,35.00311206059288,37.73474088934413,39.88764891824357,45.950668514756934,44.64883897562132,41.77845861053117,45.4736920422645,47.727166510760526,50.843980811710615,53.00960505625453,55.94313817550082,52.63661905237291,51.42388966986137,57.06971274083718,56.4535808068643,57.18819028996941,56.473374426291166,51.40622508972799,51.15500358645647,54.28370418632965,53.094405650946015,48.070858318338104,49.785073151793625,53.56689051418267,48.645697651049524,46.30736524415064,42.72430444267272,43.800666675209705,44.34980117734977,41.11596453789032,36.7914837840546,32.96458247111875,30.35279366876313,26.22392940633466,26.081639934250276,25.274795151068552,26.340991425731918,31.155895565828335,30.45921649025736,34.60391332604447,37.17384671201875,38.11393863908531,39.93740529112583,43.40144970574147,42.852098996171556,45.43167376226288,43.64893358101946,46.67977630755124,45.203538116427744,41.28298715259382,40.841359498828645,39.392856904062505,37.331067772332126,36.42895457842148,32.970475546031786,32.46623537691152,28.83832818969403,27.069624612589635,24.52672492027112,21.355564330037577,19.7470232521359,24.30102442881993,24.440506538918772,26.28709160778201,30.089501049450703,33.23697236088732,35.51746812386929,37.53123184131214,42.9385273055152,40.773177568698316,44.611693277010744,45.796124977753855,43.046117692228115,40.548105249535475,37.208109132527696,35.879665831379434,31.24836871635246,32.47847884799444,28.790372553127995,30.889306189198226,31.012704154193838,33.69825196571287,33.08097326702571,29.504331110284383,27.710578141184772,25.982373450619242,28.723747837820248,28.3529504176419,28.046714230334135,33.21288427325359,34.53349344111623,37.127619627287295,40.40758403520589,43.11683628497341,46.11596849401245,49.42403497823346,50.032529808064304,48.04011570068647,46.32195345049579,41.94414172287992,44.039194367506845,40.696843483991024,38.87181494581339,38.11235968171472,38.24192285359003,41.03200395921911,38.23062472680212,36.77648009508023,38.73395351406169,35.480095287313674,34.24948623433564,32.203899682913125,33.172468952697336,29.61108486809512,31.723784144544926,27.559436613869426,30.621082969824442,26.828878022191535,25.271720729811104,28.376478693397242,28.013924403619956,31.997805011356647,31.542037680034024,36.01786107112375,38.027878049417716,37.308895100950366,39.16236065839653,42.01835444559484,45.52325771935055,45.761116298643856,49.06833152560867,52.118902219767506,51.29339903600951,47.37802841568305,46.65988730486124,42.93803964236119,44.08315325034141,43.04226962251951,41.55083162384865,41.023273381960344,36.979508515239395,41.59191328609747,43.30259001356383,45.357048639580015,46.31722137727482,43.86824016940013,49.4453126876418,52.521083284529226,49.996210555488624,50.580871978078655,47.8586196389202,53.287003729910154,53.292096940330254,55.45029192371778,56.23862559852287,54.4405859154721,55.074736019323176,53.45580351417646,54.04825178067904,55.26395399448348,51.3494186875643,52.159892456954886,50.534384795303275,47.34130148328472,50.259394217081415,46.82587197819203,44.01107271614856,46.98639300779225,47.90096761393999,43.06112371886781,43.39518867983116,46.55502944230722,45.21861807611519,40.745606278502265,43.110115641766654,44.584782960397554,40.134459962378905,39.65500793269078,43.9453532703108,45.30400435946076,48.473587857405434,51.74936788939995,50.74907110612192,52.57800920719644,57.38754827555431,59.07903195903652,61.9592519054238,61.665049722378804,59.783226338584534,61.04124407529857,57.71591372304095,62.52926712426783,62.91825353655407,57.35542379405766,59.18354582270156,63.89939986873514,60.915864336929296,58.104664301878735,60.991317311465416,62.756731668559105,58.850575372725146,56.55383988154505,53.53851211153512,52.891120154021024,55.42965497623072,53.895407653683996,53.53563571425425,54.58206060009673,50.62985688640503,49.56891093601794,50.62091939849484,48.13796286011575,44.764446363520335,45.952266893343776,45.64191607090195,42.535959576184034,42.44010404295074,46.833043874714534,45.00845688301167,41.05113288436346,45.19724994031228,48.69115583526718,49.60417104932071,52.016808273374274,51.19728622218686,55.65176890440891,54.98926935291832,50.52823936913921,54.141941125182605,56.70092421557104,54.10333189857476,53.194653838961656,59.11060322652156,58.904652013930246,54.326327806492166,56.50145354691474,61.42731328281473,59.95683326140386,56.56733280911267,52.097094653715175,56.47308201033562,52.51959732015451,52.590669449399975,47.36430483200076,46.142997082271776,41.25911504255494,42.49961881822214,44.263966379011805,47.80962998670655,47.07067568370488,47.7971652060684,43.14995479122829,44.90085355118583,40.43139527441321,39.22919328648812,38.86540328899953,38.96356314136065,35.49885325113925,34.96387240045792,35.88096577806709,32.69617803645272,30.03585704142135,31.68821380950359,31.14955675028725,28.076369522324388,26.892966100081775,27.23582542966275,28.93862746859241],[32.52690803373819,31.91572273979016,32.16100801806474,29.021888193313682,30.955832093344796,25.11750357361659,23.818508184493904,23.010838382486487,18.412820056766986,18.327971049040514,15.724627272377848,17.210475964839304,20.577824434710934,17.5159165295917,18.312130549594304,21.426760720633723,23.44469326033388,25.580158825451427,28.695923031493543,31.85310753790242,34.512292836854876,38.555611845667556,39.61118128781776,40.56332962888136,38.64341046807355,34.29814249069804,33.43519311131024,29.682826285853192,27.973037249780386,26.741883534615543,24.207128792602827,25.75581237044239,26.04084229751494,29.220277280003177,30.0624430077022,29.99169423566588,31.094799288980166,33.71979010101148,35.70255409202332,41.83483249256023,40.49146422519094,37.89980364943755,41.731651223714195,43.76871776887096,46.88475132510609,48.877162787728054,51.94545965452744,48.72054720487704,47.267341391937016,52.92735107357077,52.50551498732298,53.19242684761211,52.66030685246021,47.567405856022795,47.4188666199221,50.744071000615435,49.53831280956197,44.52598263618066,46.494038787999614,50.31818186334494,45.34485287421749,43.35920576527379,39.86761870136202,41.07396638433213,41.21037110860469,37.84666025318291,33.67938950600062,29.724365516695652,27.146873602877687,22.976030107371077,22.894866998315702,22.687401092907127,23.736096106559486,28.582244229184322,27.638776996852098,32.29813560814383,34.29608153006548,35.49436756462786,36.905445766867004,40.14299112500418,39.33219967934759,41.6159999055031,39.71233386118729,42.55938384092141,40.958025860910716,37.193895819322975,37.01062885140951,35.729048002255546,33.87867281678509,33.45506611257733,30.07927813227186,30.18585983843961,26.393279025064217,24.412082438713586,21.283548674550833,18.528601242012613,16.20467615528638,20.85562969684344,20.652050574658123,22.785146871784352,26.3343873275647,29.269936671868034,31.45624769949305,33.252977494642145,38.54038107217496,36.23816217699857,40.10339034530253,41.17278035761516,38.42109602753384,36.003084425273784,32.593081802907506,31.182437478831403,26.529977889885707,27.73298146005279,24.12301988106959,26.277726151930835,26.590737760393555,29.502771069189034,29.182157257650886,25.479617238934466,23.598975774789263,21.602812113299166,24.280794150662473,23.71457983853429,23.309540749010818,28.46889668479954,29.8324769882935,32.38049824754327,35.68206376639957,38.41573729502188,41.379096440539314,44.71619575231158,45.294423683692735,43.36653092111346,41.58009553460862,37.196064745537825,39.296415948333006,35.984902528590894,34.22649430629621,33.470795578232845,33.79998605039057,36.72424943728214,33.94038931113272,32.31879212254558,34.35931542735744,31.07748373073637,29.70291796805443,27.63380329805741,28.55418871205677,24.97913787625711,27.22147149066551,23.23516833468756,26.658961940855203,23.287403760278593,21.64440617485639,24.48346532718762,23.805755661316997,27.698007200687893,27.208827444233282,31.49625506786123,33.39889086394023,32.85993380444686,34.583075093914324,37.55757314971961,40.96112448978408,41.16360460779595,44.40672812693295,47.4878069886003,46.59738516390369,42.70387321681984,41.94133996480503,38.24492396732649,39.43460201006669,38.453420320647844,37.080523343008196,36.653034113332154,32.7233456357198,37.49958731860957,39.03837035611468,41.03041082740163,41.81507525665297,39.2924135813752,44.843416642694145,47.907639664552356,45.36993821786503,46.10577863120351,43.4981545910335,48.92521541753069,48.911237456634495,50.96488297152605,51.670415280912714,49.824337719538725,50.38064313728798,48.72399071852972,49.30184613185036,50.5148041232307,46.60801705050495,47.45571726302074,45.89144390488636,42.720498441216364,45.75570880689854,42.387775158365145,39.49318654793073,42.540304034504544,43.59527262422039,38.775197361631676,39.07158179928785,42.366510389116044,41.20258427490095,36.70489446843476,39.15425324925764,40.807959696875386,36.41728211015818,35.93203590160929,40.36270349171784,41.51195916326965,44.85558200691214,47.831682196768206,46.74164396638926,48.71095084053015,53.41703496306323,55.31449216238959,57.97175244642542,57.656615267680536,55.63088603166429,56.84192693331829,53.434608096091374,58.18232495935813,58.601690785174476,52.949423107027876,54.716128229527065,59.413280310230945,56.42281614791341,53.54438187332155,56.371573852857594,58.17407235717233,54.29575363441302,51.87827264173304,48.95485237552503,48.279185918143575,50.88631844721406,49.488495651240015,49.19454243556476,50.43577791547659,46.4208409427963,45.228031724169334,46.52480908804797,44.14069846167654,40.57808312309723,41.822076566964185,41.783421889407755,38.73681699328451,38.517767922815985,43.06997950346798,41.47736039143644,37.50299173582283,41.57628922644695,45.152011033225484,45.85239339542597,48.16592536810146,47.15125207786551,51.58775982566363,51.05418641870017,46.437177990203956,49.91513155934843,52.55285937948756,49.98147427484723,48.86623517553328,54.80140925718536,54.7130536135485,50.052026293521834,52.07666622734568,57.08329144619657,55.717535960658985,52.292823401788546,47.85854113753922,52.31518668510628,48.449848344234084,48.63716619997186,43.37646990056801,42.02499702747975,37.172516948167576,38.470063711894554,40.058246068779454,43.56726210742078,42.672505445201686,43.34870769218563,38.60323567191775,40.27163395392365,35.756173445781336,34.75207815696112,34.43215465850408,34.735055798705716,31.213347944866587,30.53321706500152,31.754485881023573,28.685869673073046,25.68851296791712,27.588830062706393,27.396281531101046,24.559652807198642,23.280828211313636,23.915444263136884,25.78306834044823],[35.32110047465133,34.48468165952252,34.30252146838644,31.208080495572723,32.50137243752801,26.814572754428422,24.974656466306865,23.715176520618858,19.23738543922713,18.545851761511987,15.416820583689145,16.527338950461324,19.783926653790342,16.98142196938129,16.69793367104945,19.74901906767186,22.192059455463834,23.774726148485943,26.997167068555814,29.973284852173023,32.53281732680571,36.519427978820296,37.648803286794674,38.90884315717,37.06453854925789,32.85011974679991,32.08503993819659,28.52750846064598,26.42655360126439,25.114070140898352,21.769551826063992,23.6613598125908,23.44044936147251,26.334466987785774,27.587533756223294,27.747621018775487,29.16562145646445,31.989530760099978,34.26437626858436,40.23448674342655,39.166269447148686,36.1848313557162,39.789881006367985,42.062989963843926,45.29256808149227,47.525956309703,50.37730747084627,46.951400153447665,45.8052009710791,51.42471234274839,50.671225881475245,51.38056506554887,50.60634219604105,45.59182210113514,45.26739742400684,48.385304214638296,47.253403964860965,42.210596879725934,43.908789762122815,47.74227533690179,42.887742394759556,40.630505557356926,37.02225323190639,38.31684396354824,38.75194890904756,35.39703314778574,31.304083936112114,27.32148653134227,25.041524315121354,20.759581466092175,20.98788903732262,20.55462680834969,21.112620679201356,25.951000444693033,24.846989618672584,29.131910677534908,31.44702022149354,32.39574776527545,34.09064352648991,37.52441432391277,36.93594132215654,39.551543820233775,37.838012423129676,40.93329096392245,39.528427462111736,35.5079318826626,34.99342132759915,33.49221759998571,31.444932174316975,30.5770637651817,27.1548253570572,26.8979532114929,23.169096080051858,21.309190602828014,18.627651910699512,15.5364421374151,13.873482518360019,18.573134033534824,18.975171869600715,21.413361051889794,24.61804809444799,28.209424145656314,30.057669763016055,32.477273328008955,37.794395959884014,35.98275519603032,40.03100095705833,41.34770990106467,38.95925532634692,36.274246578861636,33.23236576259753,31.406662975729702,26.903561696509367,27.94339617547339,23.972490751597743,26.27509587047631,26.058289395208813,29.06609038930898,28.177159324428533,24.292710750422927,22.871017269551224,21.222934900781752,24.495719718640522,24.178686192014563,24.09310130545281,29.158225247584525,30.842514267047157,32.98378560653298,36.24330054024968,38.539695510551546,41.94726628123399,45.06931873211845,45.46059388544645,43.22357817917973,41.70431017114901,37.41622813708204,40.01141527700861,36.569236234122585,34.775373098442536,33.57813382136325,33.87853046494513,36.43320962277456,33.35368024145199,31.879324622104537,33.488088641765835,30.11328917939279,29.119272823355285,26.991903141647743,28.14737660252919,24.865826714779384,27.261814427078857,23.30006612945898,26.465514391188467,23.42496420073348,21.09713620654225,23.685944379959913,22.985062395023736,27.11598999534033,26.21985231353398,30.994664154564983,32.94524496474251,31.86687684112302,34.07040665264153,36.64308728518268,40.40879081840033,41.05870761076378,44.26905694250313,47.46186354733422,46.86449974299849,43.02350677389352,42.161463485502026,38.28943205323606,39.05450491909374,37.82275505314371,36.13398619708736,35.58196633921048,31.40039915372682,35.971488373630876,37.6711880471111,39.836551171018705,40.930252272945125,38.74228943773775,44.30079168800289,47.3537015367424,44.85200408671178,45.166192485232074,42.356119687426016,47.79489782828246,48.02792852472512,50.168411782773155,51.11198888334818,49.33567255724604,50.20513664154034,48.75284927866957,49.477223573358636,50.947121298033466,47.27611697233478,48.191476576528835,46.94522073716927,43.610343875811786,46.858078181719954,43.37921072015607,40.5894498709476,43.986145517146554,45.02371082581007,40.266376222202375,40.90197952462564,44.22193563236688,42.92635824124868,38.72647759176603,41.37594295442601,43.02766645550451,38.63864035510326,38.44731306423183,42.95307746209851,44.00084388540419,47.300699113625775,50.22700658058127,48.90745704616827,50.87282211423054,55.415337282107245,57.35907942998201,59.81230885092008,59.252743259921274,57.06327581987369,58.024192034524496,54.418664977362866,59.10640391655821,59.813597246986205,54.17236162068068,55.64070768059287,60.46548355125626,57.67148683400193,54.62306833057187,57.25221102693329,59.374959128995805,55.645020159736646,52.8383465894937,50.132168549044884,48.98610672127507,51.60311992312902,50.37199971803182,49.7843626257014,51.061891507618,46.83705730158136,45.9454860469133,47.45498050678136,44.82208713220771,41.34780180101461,42.99469670829873,42.96216838418226,39.95443877868624,40.03982406665029,44.61076942454778,43.05004557728373,39.32002236184914,43.52067148714102,47.01902398342695,47.71005163917737,49.762007581271405,48.5135642249556,52.94969920760378,52.75661891903032,48.15267869844577,51.362163866805275,54.24327025831305,51.83269077911427,50.49174589928925,56.388819672323464,56.6256997225074,51.957284589058084,53.70185371434625,58.82979137501122,57.723754068437444,54.3061072797266,49.973687650597796,54.56094251871491,50.84169453329055,51.109851204729814,45.85880135467891,44.271584617735314,39.47450471993273,40.94558047382531,42.29923825846556,45.74757754126643,44.58937986758448,45.07625237918227,40.12554685483251,41.425315556684374,36.82046066726917,36.178206767006046,35.496823454749354,35.883256454259374,32.03241572321058,31.812417736175327,33.39541598185069,30.12870675736925,27.042936810125877,29.626509088576757,29.406113797731017,26.531089124445977,24.890097281321655,25.373683409561917,27.169956031594065],[32.17353092229063,31.06081080337916,30.544765099590563,27.403540431757083,28.347413336155117,22.813004599862904,20.735993325244735,19.527133893331605,15.008610192776546,14.175735431419271,11.098554250363367,12.529088198011989,15.63318653322317,12.840436264615427,13.101215541276929,16.15216549809197,18.427671704753664,20.560120938360907,24.061519520231876,26.914305797511407,29.793069917991126,33.71122225463461,35.034082826862594,36.135454658639496,33.99396231152269,29.730613936843156,28.629454777608306,24.877675909171284,22.871481429514066,21.484882519270485,18.982977899386984,20.46446261342774,20.911626291651174,24.132971657668676,24.788272352673587,24.722777426499626,25.780798566957092,28.529052351002818,30.60850541310566,36.66079933431768,35.57319605681948,32.928164440157495,36.68830084626492,38.70257028288317,41.94313135045944,43.9701130954075,46.977812584984534,43.638466209383,42.20330242160242,47.838081544406194,47.30341770596133,47.943670361578185,47.37986335906215,42.35274807324758,42.12100526050238,45.473987772089146,44.34451636884764,39.311600838927646,41.291536847954696,45.18253238646113,40.290390881974034,38.44568648214452,34.94807642018606,36.40921351242008,36.36635455294942,32.85882600562382,28.98980521137526,24.85827678945881,22.673463842283684,18.363305697228235,18.708213786090955,19.057351571059755,19.542098273094382,24.339970433207267,22.91266770320851,27.758114103311815,29.37302801875447,30.592739370191474,31.79201671634896,34.95508364562076,34.03326010519386,36.30580636376026,34.414023780940305,37.306360633383534,35.77574735845399,31.928912917570134,31.747594839514992,30.411766261911247,28.660136210517894,28.34010455688693,25.064042534267493,25.55135917577366,21.66223877949592,19.52864251190383,16.11653267173745,13.641103380849835,10.97963356651193,15.732382609232378,15.659723501104015,18.425366890799946,21.33619159934074,24.64648325164203,26.41955903506082,28.570508855327134,33.7745478251885,31.79968081114438,35.866016256898845,37.071294693809776,34.67680621682754,32.067594402931256,28.96700062636954,27.063526890567015,22.54493840598449,23.587125043128744,19.711132441818037,22.135994026645413,22.15193400110365,25.488718775480336,24.958063630886954,20.89270338819478,19.401292324942787,17.398178854816898,20.629565841217318,20.04194726754181,19.81192807157012,24.843086653380077,26.534196801146912,28.61463316369304,31.88242545978827,34.202733454314206,37.57969852903039,40.71999666707996,41.10520489399659,38.92656719420715,37.357223300344366,33.06633085038065,35.674908412582546,32.29466321995233,30.60442241426283,29.401727301301275,29.978232839543477,32.69163397224986,29.628301028474073,27.935706630231252,29.62889114151334,26.190311072452342,25.020219879407307,22.814593398287876,23.889538015314358,20.57321429110718,23.10267712683537,19.3456115962699,22.897496768562757,20.374503957622426,17.962792721868144,20.21140417179344,19.146033559265256,23.173756362328188,22.258167989498915,26.83040813475144,28.70336863868464,27.852921530815614,29.943258459250885,32.653364881449164,36.31757732794137,36.942226166499545,40.061062812012715,43.30350189747442,42.61469406157616,38.80555807422832,37.87608044943024,34.036993240812755,34.83609910580243,33.65305402563695,32.087217255998375,31.62244616618126,27.571980359166915,32.329360941394086,33.86267839073172,35.94225078395289,36.86286488256332,34.55324102207263,40.10271829945179,43.15941630985703,40.654396611171315,41.16410169501651,38.49897675581289,43.94729809395823,44.176404548396434,46.179391315089305,47.02290376218196,45.17476342031214,45.94647836650234,44.43602510496031,45.12651853559709,46.57848649371422,42.91228778182846,43.84388089952392,42.65028804549601,39.331793381398704,42.67815672983633,39.26445557910084,36.41114997137803,39.87575797914831,41.03448164888371,36.31744285633494,36.9374302719646,40.36023959195966,39.22458429864734,35.044753754743766,37.766156920418254,39.56810225452285,35.27268657214052,35.100054045383196,39.69489083657604,40.53955169425593,43.967461914353855,46.61057056047916,45.201539453861486,47.280765335991084,51.70574607785606,53.829132001896575,56.06883675308159,55.491344965522906,53.177467281530376,54.09506606477941,50.42511573995214,55.0467063428096,55.77607243618747,50.06467145383276,51.47848311928506,56.280313949994564,53.48450241829656,50.38273435698261,52.960516503719916,55.114920068056946,51.41731047260432,48.51225297080387,45.88240544872172,44.70874841091722,47.38207784559358,46.27241369740821,45.75176672955558,47.21000808034939,42.937266177133964,41.915529679967214,43.65135557051592,41.12707612428892,37.47782150820967,39.17386627559308,39.404325034464755,36.471996272911625,36.43984979212548,41.13651367682181,39.808323116784756,36.0936259666886,40.19378539511127,43.74470678611869,44.231982102199154,46.17882374320932,44.751819680768094,49.15667495729124,49.08364111974966,44.3553674990332,47.42433776253109,50.37174905659361,47.99765970634353,46.47162782039172,52.36745535650482,52.716556427507115,47.99424736326527,49.593096784924974,54.78053660459512,53.779972791754744,50.34790034832322,46.071724575274736,50.72496623133036,47.11535850283361,47.4736263985011,42.22706471559154,40.506417160491786,35.77479001410947,37.31577377938276,38.48472668492255,41.88275509946024,40.574280024808125,40.98638195375593,35.95343652706746,37.154784158195675,32.52026260848448,32.067326624570235,31.412102410101067,31.99964864385099,28.102773768580928,27.760737465873717,29.651699615170493,26.524688303830104,23.119944888203328,25.98472586236517,26.107317658625973,23.520048547783134,21.788668155767184,22.548282205517005,24.48550146670734],[32.804506363067595,31.902954259274235,32.01431243912095,28.105466873532336,30.01393229174255,24.796054442906346,23.150852444495275,23.064562500274768,18.246333768738232,17.1626457688244,14.930193531161207,17.483419841135238,19.55729296636075,15.629986870115333,16.85169245771208,20.22175148219974,21.379784995311397,23.258047980398207,25.672460869782785,29.267173173156213,31.591795965747284,35.78610209785097,36.4683523813083,37.17261328270667,35.51301701034349,31.100111342902036,30.642481987654026,27.038899746312634,25.87134090266037,25.376885877209,22.920965532129795,25.24478797517711,25.993635225233643,28.72776814619954,29.240062965898254,28.497778320520442,30.027950110562962,31.774507371856885,33.585964171435485,39.86426876675505,37.90319113499159,35.303409857810514,39.26413487166795,41.36333799622856,44.20040980610206,46.2278954685459,49.31637115470684,46.31370451555875,44.98308888892925,50.68414541830043,50.4611342280248,51.42985140012229,50.972549620157935,45.603856436473215,45.959553220761684,49.167995493917395,47.55241387183411,42.688726455823144,44.949621073278124,48.44623974574473,43.15755540496016,41.2356949645358,37.98011361997261,38.66003952306059,38.69275718013145,35.58974478492425,30.977677861567532,27.346665896397518,24.14987366993946,20.31015886146698,19.652771735077234,19.300847313048084,21.07797474226908,25.836216380519648,25.582229547385577,30.58753637630643,32.50411888668349,34.27116578859556,35.55694854696283,38.602061708731064,38.139047973366914,40.19135241282193,38.7857677130422,41.387057268810366,39.35410895322154,35.76004917254428,35.28474731748163,34.66508358451686,32.27806320460605,32.55833697128761,28.83984331514114,29.070320488350966,25.491799915085753,24.00216796931378,20.659868755340035,18.29296491861871,15.644397125712583,21.06820633079387,21.134493046283378,24.236400245232804,26.744576668105175,29.96828939196745,31.405338768816716,33.351576826422345,38.2013528358111,35.886747228215484,39.94691036759096,40.65926665152751,37.987096972684874,35.889320472006595,32.27314048414277,30.366722593485612,25.685632121737118,26.13888295499842,22.189115687478846,23.754106608639084,23.82893476544862,26.094535863633755,25.70859994389898,22.485639802516708,20.30155479759111,18.66090185011307,21.136906474366402,21.16064423169298,21.448496050425934,26.600022773443605,28.853261908346088,31.167845652426056,34.675360447680305,37.43280696011971,40.18047694238862,43.75746908369417,43.919210997296545,42.30217708587322,39.99219770089094,35.50396372378582,37.47971565749208,33.76867065391391,31.639954283791017,30.937245625093873,30.62809650704394,33.40610246462623,30.78897527897003,29.500783499264,31.77710587087427,28.87164483457807,27.526918375693118,26.092120239130807,27.52099187448306,24.368675641036432,27.289043254411993,23.931800013274025,27.981588389965477,25.448677257058208,23.488033448709963,25.64703074869484,24.19027126618336,27.982404209722798,26.836199216771607,30.96583058769619,32.06780839507489,31.254822472474213,32.39587415525011,35.50241205900734,38.660340434398854,38.51148483859997,42.09036772076245,44.90471267511368,44.22391749198955,40.21047999575384,39.75732860815406,36.01187143503469,37.51555184512662,36.86926312829428,35.74257344105345,35.8330452845217,31.885816255938366,36.97898582417525,37.914976639516574,40.12517855146277,40.35057887379585,38.29991083795537,43.61580236776858,46.45815350048354,43.675677197406884,44.18999438866218,41.37927705585818,46.73233714906967,46.26955387142182,48.63248418140843,49.362294551372926,47.77019723158285,48.37469625093249,46.89072666828375,47.70369203615226,49.06353725008848,45.17749532617181,46.415892218250924,45.02341343916573,42.15230401975952,45.522384030402954,42.4747742297693,39.28602129184656,42.25681341389932,43.790465218267876,39.04271463567417,38.78671493544701,42.47014665637308,41.916432589202465,37.112695237401105,39.44186823235974,41.514936887351226,37.32858935486809,36.37905494034453,40.91614366502624,41.70288817333129,45.511736495373476,47.71637082243601,46.84444125695741,49.174913796900796,53.79422971607987,56.07794428736795,58.45018720819023,58.32243767563124,56.10590577405414,57.350396716174075,53.856759893140314,58.42605191768343,58.782109209351795,52.899410960224664,54.627507489269895,59.16005395072386,56.00790605493727,53.01947798212809,55.67839964773961,57.350167484014854,53.460538615741,50.80076797088889,48.26564511808036,47.778517494644575,50.64036807393024,49.642976396098554,49.589183357684654,51.26195655216281,47.15059363505366,45.63852126889647,47.43472235472477,45.30714654207293,41.390335382619746,42.62563505290114,43.1093662470223,40.18652985194212,39.60844608724885,44.380360785120935,43.158267542957816,39.0655721538813,42.86486665426234,46.59158463232949,46.92805476182664,49.22908005727847,47.982643477134864,52.34147454120782,51.84555996208848,46.914384134745525,50.24318037835573,52.84315250430063,50.18503236798289,48.72154343105695,54.705853301250684,54.55628760710253,49.640902273897225,51.49003424516685,56.586074553009894,55.143484370585696,51.547057407299754,47.05448958601698,51.35252521550547,47.40877307991409,48.07264912229425,42.70621285889145,41.610750451277454,36.870351326254415,37.69654314151281,39.09667306232483,42.41324375580413,41.43785413748631,42.51022237485853,37.73385447913696,39.452558142109446,34.799212602404936,34.50460551826705,34.61087534437945,35.42588292644127,31.921246467841364,30.6733039746578,32.45088254115473,29.83352556004206,26.16216393574373,28.050776022386,28.676077177889397,26.345971039694167,25.145509740682872,26.16617648207606,28.216276463472244],[31.320782901195972,30.161663959727047,30.11096195043158,25.733150870658587,27.569123393623602,22.87540335671818,21.058169124045342,21.582310549433313,16.763581644635504,15.135201769408514,13.513663041728021,16.826500421888458,17.9036045385941,13.477880023888234,15.495067530265347,18.876200687457196,19.233334288378703,21.28107579787371,23.295759266420934,27.09474224588831,29.360819892205427,33.5805276465593,34.11562492996905,34.52217179450324,32.86452573969529,28.392775355675916,28.006156238753555,24.403872591989373,23.753738997829615,23.725030860438263,21.93543691458524,24.398096146524733,25.754295182347605,28.365901434413352,28.356107315715303,27.096620264127623,28.622362186851692,29.735382472342227,31.261730760984324,37.63613469100033,35.25511539583409,32.9193657639671,37.04395489057317,38.98840842650697,41.6246009676275,43.51105949189198,46.71606436007135,43.94147696490839,42.488886589572445,48.19731308004469,48.26012201791581,49.34451781994492,49.078191100152665,43.56823784544352,44.28180563996012,47.54999169259292,45.70551937031653,40.97111781120593,43.557467951717264,46.87498896583575,41.40852472374389,39.78486729007537,36.764322359699584,37.20948106862238,36.89581465497769,33.898415378983756,29.177995454223833,25.73332906037954,22.198207498727072,18.68402865593599,17.651030868613056,17.679482525087334,19.920919590746568,24.492402427910985,24.521097323762977,29.94739330381982,31.411036988695926,33.63225901501629,34.558968389780155,37.30137218352208,36.8445893178091,38.523396064265846,37.299892655624745,39.59014714269668,37.22884903615554,33.90945189494032,33.4889049711901,33.37838787374214,30.891623077308534,31.88989341937331,28.12385119188774,28.80639645545465,25.33720268921169,24.014227062863494,20.30131001689647,18.549818216950595,15.394958752586025,20.9604863107725,20.87714973156127,24.4454557341772,26.267867032102593,29.327516957470234,30.34605259278792,32.10069465155499,36.569044253219595,34.10433399489395,38.201205400507156,38.5959641885828,35.92138541161302,34.12875192510208,30.334652643319327,28.206401784238096,23.55461667795312,23.5394470823849,19.576303941895862,20.70636513331767,20.872553551692743,22.800768891599276,22.711875654353875,19.82295949521767,17.29157984157996,15.662344627745961,17.73835860241256,17.995778393925015,18.632065394936408,23.704540518517753,26.447013983967803,28.644106861795265,32.254212789969614,35.10264477249487,37.58717704036241,41.33511518318078,41.28225117031172,39.95310592047941,37.265599637371444,32.72644622755213,34.50701244435482,30.62414779106709,28.323458384246518,27.762485524929613,27.175330721349443,30.019789743901143,27.601944502234748,26.397354839486102,28.953284561179917,26.31847544921327,24.83621029458219,23.826405548665164,25.46139246135363,22.573398129155258,25.864029223906968,23.06395042608873,27.564582552235183,25.692887096183338,23.72123013835318,25.362014730288045,23.3701888643021,26.897307551084495,25.469238187975147,29.215330849748124,29.757990418581823,29.013337829643056,29.605958943262554,32.921421630139314,35.77280153451912,35.29543273458924,39.02816130309961,41.669246176349176,41.012601615324364,36.943456013456434,36.673483537414434,32.97332993465925,34.77384557765368,34.41777838976679,33.57907387408204,34.044540281798746,30.259790047991146,35.58302677539856,36.05056986455979,38.289218588426294,38.039097309701056,36.16470505777577,41.286243219410586,43.9821746228294,41.064090645653806,41.622530078971444,38.82104622633064,44.09749461283999,43.32200985923747,45.77315999036975,46.41818347006583,44.93408948025143,45.45346469301919,44.01001673461488,44.91343609842249,46.2941088096963,42.39433253113448,43.853051029265814,42.53370698962006,39.89933994090354,43.44738983020205,40.660350480664356,37.27778658109417,40.14293489425743,42.004126361436654,37.346094411538374,36.69504947001398,40.622332957176496,40.522133831105755,35.542260979956595,37.77799681937818,40.14609643502359,36.15725654299415,34.90854721124656,39.49800026955757,39.991362255657805,44.10765903772033,45.735036949900056,44.98793807595728,47.565122026844726,52.08377277837482,54.64868736477349,56.787222562388585,56.79498966007445,54.45135344989911,55.7314852610552,52.21178561515716,56.638616807886095,56.91853851143134,50.89898104952834,52.62394925922525,57.01003362865344,53.74394222110431,50.71091010125162,53.272366702513615,54.820473314608655,50.92787329021628,48.162248723795805,45.86164454783434,45.56249872896387,48.57880318984832,47.84134747377618,48.007656864833514,49.98469227171625,45.86785598507286,44.07421586742021,46.20085501138267,44.32501753743123,40.15431140813728,41.320581955090184,42.208226539005636,39.40907386107128,38.53134479873929,43.4348453620534,42.524996840817145,38.373338541541486,41.91869489176322,45.73598033513941,45.77802997611451,48.05225113705904,46.64375179647588,50.91691084745117,50.44265989597073,45.30525349768845,48.510648146940596,51.06381113619935,48.35967413931853,46.65703912313136,52.64687081629278,52.46107423341661,47.396527129337,49.11519343891225,54.25029223583693,52.776252394167024,49.08555825790743,44.58648971960503,48.787753701315665,44.83924479908534,45.808171449639026,40.40445068748755,39.44176842987933,34.82262753948357,35.362543058555815,36.592103440945884,39.762734464058056,38.71751251971237,40.02206340002033,35.25809632735823,37.021664853596214,32.328098218474025,32.48766187587981,32.93406022837871,34.11251866316404,30.716498845675485,29.00137636693449,31.149227199210785,28.937503401034167,24.822879487109354,26.649859722269195,27.90367975764675,26.042934635074474,24.942884109239458,26.298106233449424,28.464415439183334],[34.348231218745426,33.00843773890156,32.91230454428818,27.86925368837245,29.666503366466312,25.928738375840386,23.89353054179626,25.095333466697163,20.475714128426766,17.951368569361513,16.87643250471717,20.686941406553306,20.37529989017861,15.490278784261056,17.45483807959321,20.767530165666766,20.056908456830783,21.318410753622725,21.996474536847494,26.319349858233963,27.84571695787616,32.18072031793699,32.05433982445401,32.13521439583447,31.05709097539599,26.648825497141384,27.056769067296376,23.94997594311549,24.07726769691391,25.06264168817902,23.151443176274714,26.546389127790203,28.102169656132858,29.959081819741304,29.780311219182646,27.82419554127299,29.97225675062992,29.92455517442917,31.24695050916979,37.58629853246084,34.42049263497918,31.98875457566155,36.113278913650745,38.21228110724779,40.39632055586082,42.39007704092231,45.49970064386134,43.04046374377387,41.913987269094065,47.57221212299882,47.804768381619624,49.276886218190775,49.02327333317726,43.24781184355835,44.57328340875378,47.53196639119365,45.17359516384895,40.726272642149866,43.53240844834299,46.32893933364175,40.55351993717863,38.88315120536971,36.22182039864151,35.852823138823766,35.59153414010339,33.11691162487718,27.826770833943772,25.088572052399158,20.776623551967702,18.10657821117212,16.169770998143743,15.633648342350925,18.931870910153513,23.03187297276057,24.207902286402806,29.62016173041673,31.177333864883312,33.96428489772894,34.88841297922248,37.405925244503074,37.547829311841944,39.028066839514615,38.54792421767192,40.56304469580272,37.760923971412176,34.679864180684454,33.7431453298102,34.425064975029905,31.21510540062309,32.863531448374374,28.76889954559671,29.30501086272594,26.344713198310444,25.782893583317538,22.338477745320677,20.965217248424164,18.122845688875714,23.969246771485906,24.344911654577494,28.567898438506152,29.38312847489061,32.769903739684445,32.95165148815674,34.953637010892606,38.835666495443405,36.522666064803914,40.739791993227065,40.761748589768494,38.28122481920131,36.867070813369004,33.01806467504565,30.393640136559387,25.977588261793006,25.01145854099566,20.832487226744007,20.97134194578264,20.617296037752,21.200639661445322,20.817926303642817,19.02798151723367,16.25647240376543,15.624210800204953,17.166105816649768,18.50859492902268,20.179714411110094,24.822105010961806,28.575587925841557,30.361923483938256,34.073243530290235,36.81327873268753,38.99638185971314,42.93047716286799,42.34303408214171,41.39806912616373,38.14442944932505,33.61733870656383,35.199042213592406,30.870142293615025,28.086812617237467,27.599751726033254,25.93630797860504,28.335494795681086,26.254016185908373,25.734456134718585,28.472630631617122,26.527123290619045,25.26505754598854,25.20679623258103,27.43663761245483,25.260010388727334,29.080234933986876,26.98396950426875,31.746465792218373,30.528908214665123,28.322699098972866,29.389150427978223,26.848140115468286,30.16707317805083,28.061954128723713,31.571808643672174,31.145686923668176,29.95053174661629,29.800985625341035,33.09621108057795,35.57981341091488,34.6492377258389,38.800740416117726,40.993217160404136,40.70074639643908,36.549486926893636,36.74480890023139,33.065398497391925,35.199965000431604,35.26709305630299,34.70701027479714,35.76482824003205,32.02547169601421,37.47241340257518,37.25867729257764,39.75376719565432,38.88573159235414,37.730806858572585,42.430854965271855,44.78320105267912,41.60967403049636,41.758616983276426,38.67482746125651,43.73332638808538,42.36016704874585,45.264077805541504,45.984291960626656,44.90419804997655,45.53816240136908,44.38837924793011,45.605862409295405,47.172294838901124,43.39198793811582,45.31494252547921,44.237256981133044,42.01488709884081,45.85738259770799,43.47162332695853,39.86460403407671,42.56202344714364,44.88825425915781,40.41101522396202,39.17127755087288,43.407496931534695,43.924509956017,38.742673318242694,40.76564369209208,43.48319051404321,39.7754838549386,38.06902074727115,42.61937627012373,42.766968808081565,47.26564075486396,48.0825652238288,47.63212147416909,50.53241742661143,54.92107921728968,57.82174266189188,59.68286806045669,59.903805513223695,57.4102944200869,58.71708964338627,55.15798202446334,59.344367482913384,59.55297941056497,53.370875930130275,55.03095162005132,59.177881827081436,55.770193075575065,52.66109994583212,54.986493906677794,56.35467455793262,52.50190332802446,49.499531628341316,47.705686383332974,47.62543013562834,50.87353034884352,50.58011585371787,50.977121947967994,53.34519609774549,49.18689138358929,47.134445044379795,49.70725717291385,48.083718923094175,43.67727586375427,44.817130694128146,46.1480455365617,43.501605888861235,42.330785315507015,47.32641201055855,46.732234873464634,42.5386706381872,45.779487360064735,49.668668985102244,49.397186410886555,51.650209189202286,50.06490092211397,54.2002843587644,53.74545503260124,48.38604267593157,51.40668460680028,53.86314657800734,51.09539658066153,49.07594869367162,55.02318418234088,54.73854110117375,49.47444940213077,50.9927357620498,56.13890380689554,54.562124748982754,50.72643182416482,46.225241222249664,50.12356859665047,46.11724444336006,47.62635732051155,42.214528676384354,41.63103326763365,37.259517307437264,37.19329228887423,38.212232863727216,41.06336803051106,39.99150379007995,41.78000402451303,37.137513825461276,38.92309285544241,34.22055848429535,35.17475504744073,36.05122073398117,37.67979351521539,34.39829959851937,32.223973155351246,34.79635233798673,33.04945355640763,28.541631965681837,30.221007813798938,32.1082078470505,30.667610489316942,29.675187502305008,31.208125949177543,33.42187102277153],[31.13274094308931,30.372625420378892,31.104267372835047,26.431712137891907,29.35230691527454,24.85909614502194,23.845630909695025,25.105247999449876,20.381962405958724,19.34465023748534,18.38882120341467,21.809260080032256,22.855023855606994,18.326136942327476,20.933503841275034,24.26542266833476,24.135769181873062,26.248604204923062,27.657700573000863,31.735817941585655,33.70507950575769,37.9764978391599,38.12604644935695,38.15529624703134,36.77699631316159,32.300644291466284,32.20382480426907,28.702865396268525,28.621424805963112,28.90788354524226,27.44708239365929,29.9272832722724,31.42198890732431,34.003214984110144,33.896232773970674,32.412432638524365,33.921829512324365,34.604556170059965,35.83969993906778,42.26233236830592,39.386028289439416,37.33340881388921,41.570965585626105,43.404677124412984,45.739857591553,47.46036364420702,50.77917786480457,48.318257391704606,46.771137982238926,52.45390128736878,52.83950085792476,54.04366674550142,53.9454807529642,48.31069164109788,49.33575532148757,52.6064213243692,50.544353149402056,45.949589242033376,48.71863017486086,51.83437286897763,46.20961535276,44.653302933473135,41.809278418489264,41.85334596598013,41.50463038976739,38.75128292340103,33.75966138093551,30.653138146619032,26.691521821717608,23.593294997417125,22.075012483143244,21.757755863388205,24.6361007892459,29.014590995128763,29.61645410941039,35.02154273030115,36.572360407467116,39.00296605826891,39.914164831292325,42.53598111572978,42.17364654456383,43.626591514874455,42.48555114317392,44.52985370615195,41.91654713292889,38.88074427420996,38.52006613009817,38.734481741406334,36.14915230781578,37.421104671578775,33.56904417991852,34.155184136643534,30.81231963195357,29.640172285679736,25.964436482865196,24.191920169403964,21.0665941132665,26.5803348810786,26.286304500117595,29.554549340225147,31.65043178448327,34.29116040196145,35.493666785921484,36.788867336718134,41.09744999250592,38.218297468347345,42.09402278483503,42.12569690795283,39.09275284560126,37.731766602056574,33.545962725038336,31.84082019562603,27.178554135075913,27.090235668269894,23.594999481035973,24.17525548283537,24.745858517737293,25.924465293549517,26.293582989949776,24.12073791974983,21.172573228036565,19.644907832090812,20.675576228922367,21.033091554190012,21.59148457746299,26.49512619847583,29.080540146916555,31.662291688568384,35.298540470938434,38.61571663439433,40.41992606796698,44.46508665912375,44.474467909687284,43.641944427447676,40.48992927145414,35.894045579272834,36.91246578569658,33.08114999925003,30.657329227205185,30.748141325445534,29.724904600114357,32.76645170790085,30.908446511685124,29.86683345047521,32.89989916940868,30.65039344232589,28.907428887388473,28.262006212192947,29.780688074567163,26.816577749392003,29.94981174154792,27.251519406490896,31.856310366878652,29.62295319210192,28.274663565914214,30.169106773317306,28.270176226390916,31.539106998973523,30.398404463921523,33.63225753683161,33.89669040257709,33.550862854737964,33.42996845815813,37.09363295361174,39.40517276216105,38.22533155520161,42.134171197034114,44.41515852030636,43.54540639616442,39.41174999009048,39.477771816346014,36.05811158175505,38.46036591443883,38.51359979238749,38.066968333569065,38.77691020329409,35.240161568850596,40.67962161931919,40.88525747280287,43.02642723663617,42.34188908494536,40.36062084780524,45.30769830107288,47.887631974632285,44.87287578010442,45.71323577196096,43.024451889795586,48.16289958359057,46.9025789186409,49.438571319448755,49.852410212334796,48.467420412470865,48.6695975997871,47.10361469908592,47.933792247740286,49.03984540179654,44.89810755045855,46.41466406679331,44.7410299143464,42.492464634318516,45.79153881668346,43.28773629946778,39.74749511081676,42.020430858166996,44.01357238124557,39.36472931560717,38.01994007374677,41.957353627734804,42.217636449027076,36.78395539554752,38.584123267533634,41.01866603944847,37.15007838164725,35.26792642951111,39.643128583490835,40.21769752808269,44.4852291080444,45.94425623901648,45.71368887501748,48.36605230795256,53.09074421579926,55.63124995847879,58.032238659841504,58.46956006445419,56.3583113865887,57.99444403625884,54.7660179351821,59.19353515476314,59.05634896498976,53.023597951561925,55.13636494191089,59.25396509891619,55.68560049340472,52.89585941378811,55.64663941968856,56.66738513268762,52.58896898627518,50.332763315992345,47.90716042158842,48.33164726121425,51.37080668679687,50.52422805074116,51.11193479718906,53.08321560904836,49.252119504007986,47.07203884748955,48.96928763532714,47.44933370339636,43.20053930386423,43.822390788975184,44.736678992850585,41.93472374179012,40.622612381878554,45.43522047290429,44.508197570242835,40.05995888644014,43.31928571587637,47.21297612145636,47.234000299740245,49.88232214273084,48.805926180954344,53.01550875959135,52.040933213219326,46.88889707085462,50.43036289985843,52.568131772239646,49.61314245644639,48.19534529241169,54.187579298096125,53.451334628776024,48.36675735668136,50.46303767460538,55.37559281450246,53.44001429297866,49.70069249289056,45.04426206125767,48.861164363954984,44.62202957214623,45.666183564366754,40.26697590270103,39.91235806451501,35.328438207044904,35.27303273471577,36.854187320057164,39.977631749761116,39.40687090705189,41.22644393857566,36.89135821581404,39.206006457026604,34.70235284907055,34.57695066776151,35.64078164986814,36.76961424402186,33.87862363751133,31.51125748850001,33.17969697784769,31.378604934335897,27.442588018147443,28.143494540459997,29.54540295126252,27.844059890891412,27.29519334672441,28.736299186890776,30.903728272026147],[30.2590401630026,29.301247951828223,30.112303068327982,24.74236165291615,27.952001906302712,24.6279003485716,23.793212364245985,26.110765485230083,21.785152131333913,20.392884458997216,20.49243325867377,24.466541884852337,24.296561752877366,19.575052162727477,22.998405841881905,26.087212274046124,24.81077331543586,26.981194799253714,27.485155185981625,31.762909743809033,33.414451021359014,37.59566778497965,37.346089735753594,36.77134600280621,35.59429835415954,31.208954705964093,31.384558165035557,28.128924742227273,29.012579127852117,30.024820351567147,29.508513146766987,32.086252784255066,34.2499793937825,36.588916725561106,35.85390579443028,33.704034159044475,35.17553570012262,34.82386945657029,35.5087505647044,41.88749949276782,38.26307097769802,36.759657021252835,41.143806552010034,42.67996148793535,44.531891588929646,45.949191075196424,49.41679751208769,47.46801318425301,45.75938956420982,51.33288834429286,52.249539679884144,53.659007806573484,53.8867569277354,48.09465389344347,49.726272462179914,53.01001806980333,50.57035223164844,46.298700468187775,49.51774554502649,52.24874221324407,46.41645621276012,45.30476941868424,42.904645844776525,42.46373744460397,41.6601549521028,39.23745662008203,34.13896677144157,31.553763796523423,27.177048615957222,24.872408975973517,22.802893360089687,22.806611065008365,26.296858525426956,30.134797984112684,31.297322290909424,37.00399630018493,38.00567875427624,41.01594885436969,41.47003662756982,43.606285047500386,43.319585764585305,44.17304058494696,43.35545044362593,44.84700692815813,41.740211377317905,39.27122490953469,38.99184023247597,39.997135196895414,37.294895824388554,39.51431124753136,35.66608635590901,36.71319716470573,33.63761010866461,32.74721841180706,28.832812092463087,27.73815542725448,24.298903547949184,29.70797044600691,29.235685601825534,32.8336357514055,34.16115548896529,36.42304337057678,37.118482988306205,37.990918455160575,41.612299611601514,38.45778523794791,42.19928900954366,41.63118977361037,38.53282211696449,37.82737051944693,33.37573476407763,31.589000885672007,27.20543993634003,26.400439081368347,23.342420437320175,22.94335131912262,23.78709064096284,23.925859542847444,24.945609927019067,23.801839198312166,20.427847996063214,19.18166982974125,18.886537236658896,19.679675682367623,20.713646540566764,25.01694343208993,28.159115351147772,30.60921635082061,34.270579424237454,37.811313541564715,38.86947170033536,43.20967698904552,42.90897461192156,42.742808684573774,38.89480434692697,34.33506672916806,34.6511623521054,30.679457000381934,27.99398187265929,28.654588784000076,26.962828451661036,30.05098176018208,28.897161409539567,28.15083775342777,31.69030458622582,30.12948420339926,28.17895806579783,28.34811139786356,30.034995068129817,27.567784638529794,30.973158935380095,29.14107628475846,34.14096490823678,32.650359228135024,31.491167852363404,32.80757072006717,30.381312507457903,33.11767662835491,31.753157870219237,34.179454215299494,33.53481814034619,33.44243944913661,32.22100753198728,36.201403727443214,37.74234675564235,35.7462632946962,39.89164854717385,41.664176519029645,40.76369314881415,36.60323754503808,37.13956087994166,34.02870279738832,37.090618261139916,37.75392680522777,37.89260461807143,39.20176945409526,36.07784197282695,41.70103482992311,41.169707553407804,43.26956027076449,41.757933628581206,40.058901917284366,44.525507567316254,46.78144127225055,43.58280154987249,44.57021959649121,41.992925049138506,46.84003049163973,44.91058136077271,47.584610029866674,47.76674410179476,46.62831084853315,46.566224580960856,45.048577293631986,45.97820746230436,46.97991433585953,42.78964121172833,44.656263571557425,42.977496148222144,41.31774224356795,44.71263417481486,42.77329141008286,38.96458649435627,40.76307728617916,43.2706547422083,38.87211495827594,36.65168194912903,40.87750279147369,41.972180658141994,36.22523554836634,37.640114340396735,40.49729102691437,37.077055549702884,34.52171861002395,38.76302727517548,38.89694067271136,43.62269896942076,44.06490497525202,44.273246335336324,47.29797760850531,51.88314087611855,54.81127879102612,56.93305571639448,57.748561778304676,55.566392228150406,57.378529151846074,54.26908168578546,58.42679809069876,58.00865604036596,51.841991017034864,54.07921023293459,57.80963725502021,53.981459053204965,51.26388661660071,53.90378625012722,54.489377687219196,50.3777373576824,48.2121748500208,46.14655024660306,47.16440135329587,50.39553711968944,49.91020776364039,50.976438902010564,53.35390417907241,49.68065748926389,46.99172798139257,49.24354224360193,48.23644427646809,43.687008440421984,43.991441876667324,45.470356380498245,42.89795612849692,41.03287816305158,45.89479912989371,45.4209754493591,40.87594564384667,43.58897924670976,47.56841764087858,47.15144527806154,49.862893659285255,48.69745426665492,52.68997522595987,51.561764623727,46.17920018486778,49.611831879002125,51.472557909658356,48.38552834237387,46.74244678021511,52.6519510258139,51.6290410296649,46.372493957721346,48.39760716735889,53.20474602596883,51.03286790871136,47.1666206719867,42.496991289174474,45.90420665170233,41.573920512108835,43.15938457454397,37.79703935334089,37.97090491189578,33.7255178443194,32.89328478148528,34.318170089742566,37.09252754992775,36.655891779929135,39.078438138139575,35.083355323426105,37.65740704023338,33.31928605562263,33.778538674733085,35.57107312124601,37.166319988282844,34.71055062104965,31.523494057580294,33.468254099176704,32.459393318816005,28.16231247973929,28.28336286619897,30.57532442708231,29.629988748834354,29.42019570763122,31.237558825211025,33.47058702610657],[27.881529519781576,27.497885933027575,29.010460825174697,24.24756367570888,28.26633476180896,24.175265899943653,24.170124408403012,26.248593434447262,21.94979615125013,21.75277885129574,21.71517545610948,25.178764467603163,26.156210513790608,21.848868450933278,25.376520344539596,28.47943199006236,27.87735142040566,30.54835617971195,31.78834136120538,35.83219542909622,37.88391479511797,42.042973847480376,42.119933732501146,41.69714399317666,40.23223975575598,35.78555527685788,35.521351014494485,31.950414217516677,32.409104113033344,32.76113460003359,32.32336616737962,34.253889371682455,36.225236661166804,39.09183679970277,38.53551338267201,36.8699313599915,37.90433404837532,38.31912419416899,39.08865474504201,45.50257772965297,42.31856856182014,40.935931890570515,45.34791206716406,46.76955777420285,48.86871983907592,50.1643041646313,53.737205046247475,51.64404456080676,49.66924869401662,55.27314265118064,56.1581848339659,57.307077254038816,57.56990492586103,51.93100911232277,53.1849588434482,56.69443444585955,54.57476509342444,50.11546164489501,53.19639291338149,56.26045262536877,50.594727357703135,49.45993817947824,46.81713548293962,46.81063591359496,46.04634015620501,43.32929895551487,38.47371865349373,35.485667330134085,31.45241921695557,28.644841909670888,26.984943997680396,27.052052937217354,30.12765934516673,34.31166560735517,34.935977489358535,40.5972530769489,41.698977582333725,44.330386885074184,44.86639400448807,47.185266026915976,46.51369930338777,47.48621409838608,46.11493579698616,47.75314282469724,44.92520383327674,42.35912609252386,42.470104983024896,42.947463236076786,40.72342558841421,42.464975678152655,38.79451417763317,39.7957126451322,36.40517493260182,35.051218330983005,31.05351453913391,29.599273271213068,26.087692395566478,31.207597857345192,30.325423488432133,33.13261455954041,35.47011817028453,37.2372111498077,38.75847250170266,39.1953133602101,43.23873083978735,39.762187995912505,43.227446748307734,42.80922124761625,39.33902372373412,38.540265456184926,33.96246292240337,32.93470456431998,28.407866144009063,28.441601602737524,25.834820638086338,26.024823556668533,27.38070237736637,28.248957425744507,29.52835526394352,27.806526494777742,24.508034224251958,22.661841163613655,22.48661504373383,22.448594034765744,22.517950639595213,27.005851236727484,29.017568176178894,32.05541856646035,35.57849087086529,39.44962663090982,40.38759612729289,44.68496348317357,44.93038424192101,44.6810852163174,41.13671144141101,36.582911941918546,36.65163574857804,33.18589943471355,30.915568494845672,31.81628667555426,30.84191143579311,34.31538571925199,33.09852494800916,31.90441393526734,35.443131163017945,33.487494445076095,31.294523805724154,30.834586374739594,31.94837910011088,28.85936113983428,31.623118740088795,29.227131141381076,33.925936805827924,31.59013485705435,31.082499827579774,33.0590191331806,31.23721792647025,33.983669219538164,33.37874588646544,35.7472372359098,35.83355814513619,36.28331617806063,35.40105803065794,39.508047393140686,41.127613094756775,39.216966778769944,43.054880744283714,45.027399887924695,43.70195388375919,39.62010436172231,39.909029341214925,36.952875356236696,39.98254087176892,40.462441630059125,40.53024500771698,41.42612075003034,38.38284529104621,43.90606461301057,43.856907334440464,45.692350645990196,44.535564872837746,42.16906770296343,46.89679112345284,49.389609114502576,46.387104211185815,47.84560721195293,45.54855323297404,50.506825969653136,48.87036045729117,51.20788868859162,51.2220045331685,49.78605032142562,49.46862502835767,47.630217114124434,48.22224180260876,48.88128234757896,44.466585647705216,45.899071080027944,43.76628720101234,41.963925521058215,44.85952038418729,42.72248804298551,39.07717011479621,40.61100744613011,42.70190529311714,38.16646271215448,36.075528059696744,39.93127355976932,40.6297839814537,34.805607446483975,36.08538300085332,38.58552651404842,34.98632124370288,32.4316914282397,36.495019083206984,37.08676718963263,41.476512737455124,42.67867108633871,42.97462664297577,45.68537011835454,50.54925864466577,53.07559545747938,55.69098291397197,56.597407500662236,54.754566095497516,56.78357247592355,53.936931340597425,58.318128763480395,57.68724574669258,51.71630412436341,54.27238371048325,58.0442830940213,54.17491533214124,51.71924911651588,54.70545542937477,55.117171778109714,50.86513842772931,49.29914081152922,46.6549903498132,47.923803311244384,50.91427310721631,49.90926321304753,51.014144292225744,52.9726571812518,49.55800924601977,46.89883918981427,48.51642077936398,47.5032699433842,43.18599526844618,43.1311690546427,44.15008643907661,41.44051017394407,39.57931078819874,44.22686539429897,43.40512941279849,38.71302609607168,41.504429229717125,45.435542427333814,45.34545686209085,48.34945316680761,47.628678626441236,51.692984710936145,50.17887370414958,45.05979428355059,48.91281292978928,50.557423614529924,47.36955911476268,46.28865107077211,52.20394489020874,50.88416437911207,45.85968429076804,48.361441639327175,52.96496643431636,50.57017095460555,46.847328160341846,42.0968336304307,45.50654031529248,41.04568832413604,42.081478892324725,36.77632487385967,37.021552518441304,32.578271903937065,31.943719851917606,33.87306546527766,36.9263530042199,36.886313236887155,39.146412918529954,35.38975008178456,38.28895700997525,34.14661593129196,33.592261568682574,35.352141127973454,36.42619020264524,34.247827973459465,31.124980070035235,32.23200064045624,31.06799436424228,27.405655655682917,26.79463247001183,28.478524539974345,27.236276701139612,27.373435024917118,29.016226211281836,31.160223906200773],[26.279320235502475,25.611929697748813,27.08921097230399,21.740140172967585,25.938970942434047,23.081318793246165,23.25559158447155,26.251122396483797,22.474132905063883,22.023610197775174,22.91667475828225,26.742811389462243,26.682540000746634,22.418308600450704,26.58669826393012,29.39104996641112,27.88672547622492,30.70332408148896,31.34823323639457,35.381956746993566,37.28150646513216,41.263907347438845,41.1320569856089,40.20851884019266,38.78556093805167,34.483124180769146,34.27861472617237,30.90439230632113,32.130605547591784,32.98960343169719,33.50651631591755,35.34320899665559,37.92132291994857,40.644808209272995,39.49179841062342,37.31923555065285,38.17810589755407,37.79173999020647,38.043839953534125,44.33525445023542,40.63018784239761,39.84775832257527,44.35399604359856,45.41593227884471,47.12494947006824,48.067595682407045,51.78636042124469,50.14748350572104,47.93987559452999,53.39413999231115,54.77167275586617,56.0256836310551,56.61897197743665,50.93321224454516,52.64813542183449,56.21998883707488,53.85718512366449,49.69081669973329,53.15973744081343,55.94151508864906,50.183479268693056,49.532585580359914,47.26874540177477,46.99311539838937,45.748509324987594,43.247076970025525,38.490657281896375,35.875114666342945,31.689660380677083,29.494250954094014,27.54986924417632,28.06282523666006,31.42014223762393,35.14954426439954,36.03021391594313,41.95552300672755,42.45679050270122,45.52538596496949,45.584413882015525,47.43764923869189,46.7102901008275,47.105823343477304,45.9209768356815,47.03740827349438,43.83298056261165,41.82054642883492,42.12572974346856,43.226857183748734,41.06541170110373,43.61057165034361,40.04805213302955,41.54909989734215,38.34373755549212,37.13905099988783,32.90559209657112,32.07828382488121,28.27561527281247,33.1739717898389,32.0834675513314,35.12418193977673,36.75630190101601,38.09449250180722,39.184966950678806,39.16720203188249,42.547320047051095,38.824407448687175,42.09941547660993,41.13771328105212,37.62864778172664,37.447341077888275,32.68908752127289,31.654346249888082,27.4839321756299,26.94892919246014,24.91722771730139,24.326479750632405,26.036495749291422,26.19489681994352,28.156639473606425,27.202249355996084,23.667356862706665,21.94699536428069,20.596442551445303,20.71751488421768,21.03325602208938,24.808078711047767,27.157357825826953,30.054124721854258,33.52302829890143,37.575686433353674,37.797968529233756,42.312587388935704,42.32925982960007,42.68535155380018,38.58445122388945,34.13185447248282,33.51832754173323,30.06365437124648,27.69561514031368,29.152678824971428,27.818728041731916,31.387922474808132,30.81755374960434,29.76400691493817,33.690698219674715,32.30437607434383,29.904601457360375,30.07843359770642,31.22889017626493,28.60728407812002,31.51832193957587,29.97423530725686,34.9576367421819,33.41027148770503,33.04873782553106,34.437642859330765,32.170416067771924,34.36658220516867,33.627202209647585,35.18619011764116,34.51727384835655,35.3017765810573,33.485018884003104,37.845573391769534,38.74523078854136,36.1418078734807,40.062369560653295,41.606633539031286,40.17310250906586,36.132837193222784,36.787876431951766,34.19037827696799,37.770532134406636,38.77253199960159,39.375175359475804,40.75273652590841,38.15902927033578,43.77202889969728,43.104607747383646,44.82873169170061,42.96914822572263,40.782466859197626,45.04535514682339,47.25174898771791,44.14659704475869,45.82794815197035,43.73627297856063,48.398942426999675,46.25555010186035,48.59071997967458,48.35113051839963,47.08553423128648,46.47531771432143,44.639998224401,45.265296659859025,45.78515243467937,41.34241732668684,43.0433799441945,40.902437947684966,39.64866441328129,42.59982815177713,41.00289978213346,37.14827763192567,38.23420700241173,40.79206530058158,36.54386615607279,33.66528359861294,37.76901246398415,39.26147657618502,33.22964679639575,34.15611274483478,37.06510801756965,33.95209284294282,30.81463451886751,34.73999545595741,34.846151946181244,39.66544408334764,39.84311165890823,40.50420267857543,43.567770686323065,48.23992869421731,51.15320112512402,53.44007422257443,54.66255888453862,52.73236025432141,54.89135971221774,52.153170171144374,56.25729258808719,55.388619511646226,49.321572420407875,51.96522186895434,55.37236284524523,51.294292522010146,48.91203907018569,51.788110312439045,51.81460591672032,47.553683752722215,46.086898856742586,43.76561902250797,45.56487463552168,48.70210154459794,48.03493171159423,49.56974668927606,51.90117677025862,48.64981142245406,45.540526940942584,47.49919405821567,46.971941705528586,42.403980245381874,42.07498709779369,43.647742818790675,41.196728320047924,38.84150815653962,43.50992969533391,43.166068636584406,38.462904611521495,40.70301603536477,44.681662841939804,44.14128832480099,47.13804566311174,46.29355125284421,50.12367949167844,48.522795980065645,43.20371229563122,46.89332225784144,48.29852436220838,45.023290476667185,43.70288055661887,49.510402798833184,47.972968637213626,42.80628511973118,45.20281232106034,49.705667920208974,47.1381311765932,43.31363133064417,38.58170132958361,41.63824348607522,37.13287573847078,38.675091807530926,33.416783866966355,34.11392592934018,30.041617056341963,28.68966604753781,30.421250512361585,33.13122487625631,33.196452468393026,35.977492825807396,32.56050427640419,35.671408153247604,31.74988767125927,31.72635648400825,34.14222651098709,35.65719015559238,33.910235446411654,30.073559503733847,31.469146494798306,31.0926057327793,27.12623121758702,26.038177399320965,28.6066387728873,28.154269089278863,28.548085486944014,30.53338927233366,32.71202498620158],[24.760338357676492,24.680878543509866,27.041128457088856,22.15398151956597,27.25479141500642,24.746924132780308,25.888212969365828,29.156996458517597,25.86905246037073,26.228023924558784,27.42883577254186,30.966140001145128,31.23318552197911,27.33943891729482,31.74503335765497,34.4115021121787,32.93892077193045,36.059276813124555,36.79947994813596,40.693202601164536,42.69112479183518,46.56326622454223,46.46017574860091,45.34229187241165,43.84376790019273,39.62840037616963,39.24568564141016,35.842005448544796,37.190432886893525,37.87973330518443,38.84381868196128,40.23853557506557,42.93043906515299,45.91018426252679,44.62669508850459,42.5342931120365,43.03549176822,42.73225977779114,42.75587455372163,48.94004600751077,45.23154540055703,44.866968885824626,49.40607782171076,50.19504120227848,51.799468738925746,52.43444520743631,56.28570722203128,54.86030128440707,52.35716512809188,57.692464887951445,59.359865173920866,60.50053879430147,61.316014175022424,55.72933382258504,57.45704280391314,61.19487427963575,58.902162402798574,54.798175449312424,58.37075760615867,61.189655966715485,55.49484095888881,55.05557993826929,52.84001002060029,52.63952664262487,51.224792130467385,48.69309333567873,44.095055329011004,41.464045751876796,37.374255367992106,35.18877843198143,33.311617657957974,33.91849236455386,37.23538332998246,40.96275320685632,41.72740745247866,47.69829954114758,48.05278220363942,51.09025557029003,51.00782135350813,52.75238129050819,51.77256778891115,51.94091994092975,50.49129101181195,51.40143899553029,48.196846317460704,46.45827915230299,47.11670624992292,48.19654341231078,46.36276340246482,48.96534762547663,45.551424546778655,47.18643040718168,43.88726152459646,42.48965803764568,38.151388616893826,37.32356077922919,33.41703302687765,38.017795726825874,36.573792054049505,39.08996560401211,41.13005909172433,41.836668624204634,43.33380596781418,42.69593924483757,45.96435725508906,41.847861395934274,44.67945730295384,43.46724792303251,39.627851130637936,39.83390398113082,34.925749523833126,34.622650215075076,30.687888062579244,30.4953332818816,29.205131920293976,28.58906945722723,30.770454726663896,30.938051925278412,33.34125189703772,32.490352217595856,28.94106765287936,27.013553889160722,25.19889039720407,24.88840222904289,24.630765785899197,27.90911772303061,29.3842904217624,32.632691482940096,35.83327185423091,40.24663280073583,39.77832332233163,44.347267419567125,44.69361337133989,45.44706598549566,41.25451117119596,36.979835207402544,35.60072281024219,32.70911299988328,30.686113262156997,32.70258414289251,31.642568957802755,35.43875299904306,35.272921115163335,34.059542615086144,38.15485343765641,36.86983264615401,34.2335278065301,34.330902380047135,35.04959635061298,32.27443642499945,34.65959477893706,33.183525556973,37.95707462895168,36.133443216402604,36.448575080977044,38.057078059538966,36.080953165319166,37.93606460547122,37.74109437225311,38.75008506097598,38.20301139912254,39.58850748765963,37.46498711425161,42.00836218924214,42.46493780753331,39.45430074048888,43.13274197919828,44.458506080237164,42.60640226978426,38.750619358948114,39.492481378836935,37.36287324865781,41.254603276501165,42.46065472930562,43.350018303374924,44.6924865782259,42.45772080632521,47.9886848439082,47.32258217950237,48.75948917677724,46.73761796370761,44.163296433821195,48.259031535976895,50.427006784352905,47.44507712283516,49.63397311685531,47.90453840292172,52.39777490446044,50.11866137793498,52.191534046063616,51.6334571922014,50.28530856003654,49.23694190769459,47.153566113793815,47.494238888404055,47.561192675311986,42.942322000702255,44.413995169095664,41.818162376821086,40.93373077389243,43.329782498360856,42.022961637284304,38.24494336777956,38.591958415819086,41.04580057438266,36.988688989743395,33.58122149230248,37.36550915605068,39.101790552428305,32.90591359210544,33.26115547447955,36.03939522770816,33.247139754207026,29.57823491778046,32.9816042958639,33.21583212893306,37.935784832596525,38.045255949011334,39.24550263184804,42.210474260846574,46.99684562664016,49.73652376861508,52.32420494782191,53.97723356617649,52.408728655365216,54.93318974699207,52.63422476016974,56.69843299917291,55.36553217552532,49.50880098885868,52.56981237000227,55.64106640506293,51.357011887590325,49.38040795899655,52.50240927606839,51.95102344939019,47.57299140038729,46.90694520514068,44.29195052776598,46.8297768150741,49.793125723852356,48.86355676237621,50.792882490409404,52.94726296526906,50.15260009952881,46.748562796827485,48.25892357305425,48.13597581967251,43.69137437609467,42.732681841380824,44.21533254751804,41.86183798787413,39.13096913294051,43.468297729251326,43.11962182611296,38.30620143682401,40.09275879274275,43.98857518633716,43.45546924531562,46.78143103464029,46.386362522272584,50.03563179709957,47.88544572417441,42.78413814917158,46.785136354609605,47.662204907786524,44.21068347520962,43.38436751158294,49.00514266556717,46.87088819406086,41.92901647314282,44.78419594682007,48.85662298088999,45.83215707125218,42.13450207132162,37.3982649297352,39.9635510603585,35.28708699731417,36.6443220932629,31.641018672659914,32.9797798162142,29.163662052237274,27.28624203050117,29.455762069124486,32.05834412493394,32.78003693555118,35.85616792323692,33.159342888506664,36.756744647139854,33.34713720114227,32.67969538598308,35.557122251729005,36.82286419579539,35.75832332480271,31.54005855837677,32.17934557907447,32.287420351147496,28.919718568657398,26.648319420500822,29.135438407576917,28.981770358604784,29.948624927203774,31.90289667205162,33.943725476959706],[21.855947901062503,21.198193217223885,23.042857157433584,17.70181554364406,22.55369160523311,20.816465875992947,21.874853840974918,25.600624769481332,22.766925935863924,22.987306889467803,24.793070369866893,28.41002943851637,28.033247436207542,24.439483727861454,29.192524332862572,31.525299165426034,29.627053363911674,32.98114923039355,33.68254415777429,37.3186284583484,39.45159532193025,43.1066154813605,43.146371038492674,41.858689007064996,40.13424989882951,36.0366015308546,35.39728360113923,32.03057441350548,33.671648636400754,34.47319348262228,36.2145541405924,37.28293328781838,40.381423764253206,43.35116201241738,41.6309354936337,39.35222196574319,39.54994873785095,38.961060394714494,38.68296156379142,44.71800254461212,40.97218399506442,41.03497711669804,45.59094979714635,46.07676081360742,47.595889144212876,47.985143816587424,51.935512922008314,50.66482173054922,47.92434981484589,53.16273758867505,55.04770777678334,56.12370527611949,57.13755673253755,51.632559722358046,53.470318820383,57.31836652260501,55.0469723966864,51.08364231602652,54.83488282183414,57.6095288869697,52.006565251912185,51.95814406317595,49.924550701432615,49.840669031149325,48.03736467139481,45.486716133565146,41.23745550529645,38.67559739157375,34.805375348126816,32.87263414230907,31.094356348281384,32.2556521693067,35.391382881375165,38.8534028586586,39.408446380427954,45.538787958442065,45.33088009717064,48.50880490154013,48.02657604028493,49.451562620154206,48.26081595881974,48.06140120383513,46.57515478755809,47.18401491320728,43.8739069809179,42.46661448842954,43.39199991338439,44.701391432877884,43.14559677671149,46.17403798737267,43.00166369004855,45.102272014905196,41.8699700040717,40.430757900813624,35.92260174328148,35.60172570587335,31.49773397753403,35.69548793293978,34.04362564171936,36.64336921577004,38.154017430426165,38.51378270206999,39.73386516065876,38.79075568391453,41.64533125756099,37.446422404048015,40.179889522542375,38.72586097154835,34.94787905762327,35.42881718075526,30.510488184564597,30.150156617308642,26.492452213668194,26.044199170384037,25.22710517783008,24.32809882066671,26.828712088095337,26.963863465659937,29.87250501120095,29.18361306014378,25.65433599298327,23.608003451405292,21.19930231920638,20.68800317977013,20.376818508500026,23.15546247818353,24.74879229170783,27.84599416258624,30.988562646197252,35.41861734717434,34.70718775102153,39.32504379621404,39.572589388349414,40.528411349682926,36.173975664023764,31.97624674209527,30.384434538199482,27.567175537494634,25.63033814059295,27.866064598362353,26.9848851535893,30.941932564655403,30.989091560923736,29.639564772147768,33.836328110640856,32.7461124876634,29.972405515460856,30.28373132101029,30.910777443417274,28.442407135956486,30.862746719488317,29.992418259926964,34.89090879539376,33.774704135462976,34.07653487010722,35.17647814530408,32.9224537398017,34.36762513963927,34.125762446879634,34.6018126586728,33.70915140281728,35.36664269266165,32.863895008158984,37.49672599137761,37.640553068780925,34.455734948673495,38.03154765277606,39.30382239160785,37.35056555907306,33.539110870089374,34.30923298325418,32.33908554932356,36.38779491237913,37.77933521846061,38.92013652046864,40.44863381489575,38.53758694289773,44.028874726466135,43.07955944999028,44.386164820715166,42.07895778606721,39.53083836455342,43.39955247616988,45.462064378277994,42.49056218235217,44.8562035734345,43.327666688728414,47.686433090930926,45.347718128894854,47.27169619492832,46.59124149115637,45.21902028834966,44.04867003263003,41.937447340852444,42.269391135343874,42.32117914141364,37.72518322435544,39.30508048783278,36.81460693410451,36.08487033764413,38.64747864888507,37.54996386517433,33.66484033951403,34.00596193065339,36.74411717301932,32.82537476307245,29.190060737585817,33.2317597855981,35.34668948714001,29.166872977763123,29.572035223121773,32.67681249699686,30.102775237352365,26.371421657348993,29.951106405489682,29.755398916741694,34.78820406295757,34.2915008366084,35.36601541245672,38.5873624619105,43.16438211708908,46.23409908954986,48.43437026596379,50.02915344787348,48.232851650963106,50.65436121805956,48.24645104679212,52.16114023212783,50.893729415215645,44.923382222496265,47.86361556009171,50.876708156193196,46.589828260788096,44.50539973361092,47.50274608811421,46.99771778911519,42.66261206114255,41.78986668407813,39.37871470743146,41.93194748183598,44.99393564360915,44.3196941681582,46.351836627294745,48.77386543036244,45.95181638734517,42.38997466278099,44.2552587742121,44.3058078540684,39.69441732569833,38.7913269188053,40.67823135797867,38.49960485774202,35.60858086314997,40.06721285922274,40.08365720341562,35.386452054523374,36.969942026447555,40.905518672257905,40.04478597085862,43.16177103101288,42.470088661941325,46.02988647913207,44.11095487736374,38.80495986127794,42.537089392468324,43.52489880115995,40.130341195929695,38.93752849019801,44.57004735709066,42.63573666518864,37.52217895356615,40.11007876901301,44.33504683260985,41.47996140475088,37.678650741476396,32.95668933896634,35.67025967247891,31.08598979780537,32.75594899668136,27.6244385370306,28.818112133121158,25.116434728069862,23.12567945236581,24.94938261895784,27.45945430286179,27.9228690673923,31.080186063461614,28.305843413695012,31.844164692016008,28.46172270429679,28.24316892683892,31.349058097005663,32.9629204094115,32.00808458750033,27.4923148690538,28.572735053780704,29.081113587568737,25.38707568635341,23.23522085197563,26.37253809678596,26.762723766952742,27.675732680418662,29.913425607619818,31.988164575148858],[24.31204734810149,23.696767693770685,25.641342319797435,20.304662566477077,25.07949320399642,24.347665258017003,25.46989758153705,29.494665454752056,26.944590125307162,26.91188100625919,28.9206611413965,32.65242028063461,31.805597988268843,28.189798079992784,32.95200778162025,35.19274419737664,32.86331784122392,36.00057381022512,36.13192485952692,39.81903418560535,41.62597255537947,45.16476520769437,44.887945937922275,43.26213708979253,41.80010678442781,37.902829734315695,37.54574927307744,34.50020996214455,36.60318303692268,37.79763148767295,39.73152987996219,40.988686399640706,44.242985828600546,46.98974466202433,45.09636016118661,42.525482639455426,42.81672452868836,41.65658182083101,41.10244891561294,46.95717142956607,42.78730897693944,43.1334312156086,47.65009572825016,47.99518224768965,49.138852487209235,49.34386023337377,53.29047638044521,52.39736069468691,49.66379166809693,54.72114767223093,56.91231911426401,58.14160045865683,59.31813132149956,53.776628473031884,55.98172872213356,59.73656605914875,57.227913243634355,53.52255644204609,57.460616773063514,59.93774762503874,54.25832862514506,54.38619439342479,52.61937102419067,52.1828487963188,50.245162757142346,47.97936659137688,43.665380503567185,41.480326459881574,37.42898890860835,35.93064441685176,33.900797031554426,34.98672728901458,38.39082641070136,41.54499660220706,42.48121866816188,48.59699569655847,48.263934969532514,51.693644428355036,51.08088036989609,52.275473225766476,51.24043203548726,50.76307363561427,49.55544145843121,49.861024592003304,46.31095742147677,45.24393954635238,46.10569332052832,47.83406156727563,46.13208835362509,49.538780340547255,46.330716043659436,48.48368237637391,45.43966800052854,44.22085109205,39.7522145702823,39.59219045029165,35.522834520951335,39.765094703012416,38.190595649097524,40.95279998394939,42.11071017799146,42.410168254877114,43.322139623890386,42.26395632022621,44.669460959167466,40.43980169439805,43.009200095222425,41.193742437462504,37.48484606349991,38.39929175437481,33.50570542541665,33.121914875237195,29.819619491945822,28.948169690569866,28.38535819828489,26.953718284795514,29.392825557660082,28.789303955415765,31.868326394964985,31.840742102123873,28.294179685534367,26.61449197110104,23.70533585469899,23.561219019349696,23.603540953066865,25.72469033944203,27.56339068950656,30.389851107509333,33.37504408107079,37.79158325739209,36.505330601571195,41.198803539296264,41.21187443610151,42.660677588014934,37.91876279182936,33.93188930569402,31.778211057742077,29.038954048515677,27.02705117767726,29.627089737995767,28.240714044958313,31.98415924350694,32.5816948021373,31.558747702034704,35.89061591254444,35.29896759037885,32.562162200042216,33.362600042493256,34.10793909542708,32.028170218565656,34.51915193332264,34.064503115009806,38.99111851301155,38.169448251269614,38.481579475572566,39.35382807026014,36.92047328953452,38.141544703960015,37.73698366117098,37.84347138999864,36.42780910590892,38.117625679397925,35.01705388617621,39.6685928652601,39.26937651290623,35.540343346968136,39.18089884319923,39.9503581593131,38.01434810764951,34.33730260809605,35.50610562523298,33.90413743987815,38.3021558516286,40.07748960248703,41.54863655372167,43.40649579060057,41.73245587068656,47.20597646389095,45.85079304598651,47.1356247873506,44.35983933603987,42.10180109437277,45.533321155534104,47.30449998688486,44.269688887137825,46.653832798281535,45.2119170710208,49.25428745757399,46.449953444778885,48.459851564556296,47.61408666111249,46.49022192564052,45.12841729078611,43.1088602505517,43.50170403013449,43.429728484495236,38.910112978392675,40.717607286257525,38.24667722679207,38.06571181433039,40.551962403480495,39.94406487047593,36.01348916734936,35.877021006539195,38.89836370308184,35.33545813143044,31.106267295392534,35.14311108402632,37.83968207168156,31.66930004528709,31.65006617519902,34.908480162738016,32.821933886645475,28.691119067765,31.855552955806537,31.34534597369077,36.517872970617944,35.169821191397766,36.72482315158243,40.12639749055891,44.498420412309045,47.759728444849934,49.769157890813865,51.70856496747951,49.95866998694882,52.52177780118704,50.309479258795356,53.947129660176536,52.42248071882684,46.50341015834316,49.53396661598177,52.136496577464555,47.689409728229606,45.77222180159696,48.644527518338165,47.69219905004018,43.40175241511434,42.75500240825982,40.678867086206196,43.73516301385332,46.84876716841607,46.42951559635438,48.79263501177417,51.41676961734607,48.79283792396411,44.96189292796235,46.96632980567799,47.37370589543128,42.70898790380182,41.56661927366891,43.73651609822337,41.76094474166572,38.58761510626091,42.89013440127223,43.17240475842648,38.53984858984731,39.66594731097857,43.52544809415783,42.4051184493047,45.54282755169641,44.882529190160874,48.17905237457926,46.09879981435716,40.806126951693926,44.40753795205205,45.06389314935606,41.6165844543545,40.36921131481627,45.75480289684944,43.501955686902356,38.41737283632734,40.96394423593136,44.91164519837841,41.80082081601283,37.9979710613691,33.398885023007814,35.48922601790193,30.886468301691504,33.01880205701484,28.19629957601217,30.023183617433855,26.891902984272463,24.143129893449636,25.809609280737607,27.79260640124958,28.543963401582516,32.214750738822865,30.011123630394664,33.67000042379282,30.648377219316384,30.815609161586618,34.31931330006586,36.13532601267071,35.51580448603066,30.706494718737794,31.824288237359703,32.794030256285644,29.142501819197562,26.697002172833905,30.115598829812008,30.850761317472084,31.905358336582015,34.17883989646531,36.20333578667322],[21.66010658148704,21.062106526444275,23.161600006808087,18.159677600412305,23.13235196998498,23.137389246678037,24.769272348866778,29.02409206474492,27.102665669633424,27.50396013330759,29.905219697455426,33.393340185627764,32.49021636649706,29.365595637411374,34.32984027998908,36.2794256851646,33.8807787889277,37.32489432498176,37.64419349990953,41.01114987518418,43.02685596146148,46.34318588735943,46.26950735839071,44.52815428475105,42.816808552695214,39.062689573363166,38.35860341520356,35.301682079377535,37.495443800496325,38.5312145162452,41.11692894501449,41.84995021142723,45.33533894045859,48.25660983521919,46.083153752943154,43.556337809428015,43.40935087225217,42.28369860882263,41.46782903325232,47.10603800795839,43.08297305328545,43.90633064766385,48.401837781161106,48.39740723982698,49.49837140534317,49.369515354218386,53.4261164277257,52.694434648957326,49.63078851574562,54.52332142045213,56.96364384609328,58.018961042772645,59.4316767827689,54.07796596689763,56.247905998659355,60.17628598406525,57.8132973101067,54.20926768938018,58.247561182348726,60.77867021960184,55.27014462745776,55.73646311060671,54.05804190012523,53.847214866826626,51.60791510674687,49.25586101346965,45.32492068000827,43.09183372227324,39.33310038359962,37.88243934267387,36.04831415646735,37.501569034417685,40.66543355974789,43.72667646370596,44.349536544307064,50.53902519992787,49.811509773788906,53.20970160430432,52.300338921264704,53.275033393280474,51.912940674500945,51.12570220804434,49.666443976079265,49.70398514714464,46.191555953198346,45.45659941991259,46.724585737850354,48.45715627675456,47.1948927271103,50.76538570429102,47.8367856352706,50.318214123348525,47.2312284318584,45.82541755076366,41.235254552640875,41.32491835862975,37.12666401884826,40.9015946970873,39.006336803155456,41.42635685788443,42.56672086201592,42.2664152503171,43.31145897619308,41.698326631328236,43.80414894566441,39.33618040098505,41.513460839173014,39.454284896772954,35.61860479738841,36.90334740286169,32.025916097385476,32.1247398833148,29.216185589325196,28.517948728559006,28.699361768074777,27.254531774913062,30.109677386212752,29.709409718217362,33.228270152246665,33.17862019435174,29.739104221921934,27.832149451776157,24.560313511110987,23.956559883548337,23.535915248047175,25.000562100936214,26.173415513843917,29.072212110578743,31.751342856988277,36.32700839496701,34.49364777170367,39.15341222937213,39.38564591253236,41.14501252890893,36.39420719991724,32.65092010044,29.936158327886222,27.76243715656691,26.17396647004014,29.147689059741563,28.24393662396375,32.18826696698425,33.044321585227834,31.773098063931084,36.13292075886196,35.62484573325244,32.711988663011354,33.46368463758395,33.826196629193085,31.826961289839883,33.91621770429956,33.824024385260856,38.57252457209963,37.98869307782286,38.68879685169845,39.41012089066978,37.07135571342692,37.84262784949131,37.7947044280788,37.28085761217534,35.86176887192112,38.085442238534526,34.74342976558948,39.4666465756786,38.684487441473685,34.7497078787927,38.040675251475584,38.70892528964362,36.41124244387988,32.96400662029983,34.104114193868945,32.92866368438775,37.47432088236538,39.396213039701394,41.12969913847686,42.9797417627371,41.72889621954616,47.039731222770314,45.61368961972256,46.60349172777628,43.674425101808716,41.140838537594625,44.332824159929366,46.04053712615707,43.162182324366086,45.98914521728259,44.93855067684685,48.789689281591926,46.008736062275986,47.67386478190816,46.56467805651767,45.31869046447935,43.60739273457367,41.391946575904356,41.544283230718456,41.14257215062987,36.563479229426235,38.20181544521882,35.49916593732141,35.62989166989276,37.78985055827107,37.48683558107339,33.62470252463606,32.99930101390131,36.0590260303407,32.770513388241085,28.150793964140554,32.044823343218646,35.08372186690643,28.96029879647368,28.592660654836035,31.912488943241215,30.232319179266934,25.83078524889254,28.680160316108548,27.95872857725972,33.18824222192098,31.412116405413443,33.207072335151445,36.66469595903827,40.93456465334036,44.25859982507256,46.20485936483927,48.34758463461912,46.70024499616264,49.40722880987036,47.42405028463955,50.93282177652509,49.174445537800054,43.37524352816328,46.579317695025956,48.93655085987082,44.398327380865474,42.69933166645894,45.65697993132944,44.38826526369638,40.07307461050494,39.85968554279935,37.681857706370835,41.18008220840283,44.18447326817446,43.72154043358501,46.35730131812859,48.980093990082764,46.65771790654441,42.60727828239858,44.49596112789414,45.246709226947,40.63565027403799,39.147767272840184,41.465427282161535,39.68815381529702,36.245630223188876,40.34084134230736,40.84342494883799,36.30407701644216,36.99787467834763,40.768587083436095,39.46093253031963,42.62944474660938,42.07674542394373,45.173052489683386,42.915405564207575,37.69983011338602,41.29458140589705,41.68304005061063,38.19621209225569,37.064805655732584,42.290762184403995,39.806470403824726,34.81040906619472,37.48218704885174,41.21756295621599,37.94740973569353,34.197844119626055,29.64209852270117,31.510344572221687,26.88157792296615,29.05623732499545,24.371128681778064,26.515362471054935,23.728129447972858,20.57654125344423,22.28149300723328,24.09274841733245,25.145966145242895,28.988237112195282,27.282087831087793,31.158364814358915,28.58564238598545,28.545092619288116,32.38630153874636,34.196402058753335,34.08758586527157,29.009674069107334,29.870712582876134,31.357557443910324,28.011405087561034,25.004522044441327,28.641393397043974,29.861285798233776,31.18243168374927,33.535111018963576,35.439211922693055],[20.935691400131862,19.659192196625778,20.9082462551188,15.456125445358804,19.71396546290162,20.49817826471775,21.738019065128466,26.2149659409841,24.634148290070854,24.6960114250885,27.432851437662364,30.941860023574748,29.451341098860315,26.58791491250621,31.606632965278937,33.27308615074893,30.55476717046969,34.02286683372683,34.249661730068816,37.38534523823184,39.44169638049303,42.57136277270845,42.59234900401967,40.768102184530555,38.9171421783162,35.29497339851167,34.44428565200505,31.493435097046607,33.897550793807206,35.07361257153281,38.120014761962786,38.71026066650322,42.42505179693451,45.222276849666656,42.776491064271156,40.10464255963223,39.81880099010089,38.422107849703146,37.4089598676541,42.897405841234495,38.8501768653029,39.926969578457665,44.38570201565244,44.20468661211408,45.24073372653929,44.98764916474127,49.07501546237801,48.42644364269052,45.268081652427306,50.09101151605818,52.62889321130187,53.66952001914619,55.173600541763705,49.885637648477314,52.13920729056242,56.08214864544047,53.72032157155586,50.23667269838513,54.366023647037544,56.8293816183125,51.40493452798883,52.11479640113655,50.5821268809209,50.43148181052745,47.95785778282634,45.629976990972274,41.97335392401661,39.844318971575994,36.29213056582774,35.08496844881097,33.34341891057226,35.148228376037544,38.126764960724024,40.92520022349494,41.42227331873926,47.625353404913454,46.52543621720746,50.006902566925085,48.84066929734108,49.58394036281003,48.143869393676894,47.12398304470009,45.735367958752384,45.57428475097606,41.98326976978783,41.467666778438996,42.841411949663204,44.76693244665693,43.63982469183665,47.49362952901641,44.74237472138264,47.499665712413346,44.534144612093726,43.175985016477604,38.57116815416006,39.030903666125255,34.812413532665566,38.28472559556573,36.366198605394764,38.94767060965216,39.54925557701172,39.15686983891732,39.8415962278773,38.17119790581282,39.925285915337085,35.53682474374358,37.74138374428025,35.54267284089389,31.887580595659404,33.314765655410426,28.52265680202969,28.34628233745481,25.709864139656496,24.6538099453693,25.11191130864468,23.391581735910734,26.352682587973526,25.876009730337316,29.664840184286557,29.778245760431272,26.45974308062313,24.595906494572294,20.956224961398235,20.322094268887017,20.04240711356635,20.98685360371392,22.53007428811772,25.107718833264524,27.77843541275075,32.234492165759896,30.353757568897322,35.04957291061448,35.06597801837498,36.91176654924878,32.018637100187185,28.31304565962588,25.574828459787394,23.294316272270542,21.69252614133383,24.76455453279868,23.94028001116828,27.91734431842476,28.903779531738394,27.59180307966459,31.959073558515115,31.63975533542326,28.712891474642404,29.7037800808253,30.10308239534169,28.48354271405154,30.708003358735535,31.121296596433172,35.93526674945569,35.98104339594183,36.46925679804306,36.731324684240754,34.13352878434084,34.644355056124525,34.39934119119315,33.574994705173324,31.79752530943864,34.07068869841558,30.465612251126913,35.18247970797442,34.21528309185732,30.204077373860947,33.4817676192439,34.143649902594056,31.87433836429384,28.398445748199038,29.575381574845395,28.440613440310212,33.057857246271254,35.10585024023706,36.986685173737705,39.01066264524854,37.95352342715271,43.203848042661726,41.53520643268998,42.49402491849538,39.359571044744435,36.99374816621201,40.00290332615004,41.6141110794745,38.702958627798324,41.52579721973168,40.54776859869557,44.30739925598316,41.50614461710161,43.12037434230862,41.995599820750755,40.77242874441783,39.074228562297485,36.91330522648634,37.157425513091205,36.88924230821835,32.37478016076999,34.219017588894296,31.770174157526355,31.94805986346705,34.44892106718427,34.25324354634197,30.284051775171655,29.888935814847834,33.24202372053988,30.044266076149153,25.41580819323325,29.63166028008983,32.8980124391433,26.920736760176865,26.796816318347684,30.39489794307025,28.806797848676812,24.6269641447838,27.75572706846287,26.640725058391673,32.088735027865184,29.854283485298414,31.31771939192863,35.002736217906715,39.02913826749489,42.67209485081323,44.18351077664408,46.11142004821912,44.152352658654074,46.63870040416685,44.414965927081305,47.80500084086122,46.26807042488872,40.29929219740675,43.25120084182368,45.6736420722275,41.19987230289946,39.25838355113247,42.02055870747534,40.98877688450925,36.74441708517256,36.04908327883257,34.17732688197552,37.45273643067565,40.60791768524511,40.46646244527628,43.056018420528034,45.95459065556299,43.46853187774553,39.39427976396189,41.72534902348115,42.4814373827422,37.722558841199586,36.49675854390949,39.159911567191834,37.50568432498308,34.09296295266477,38.3571020534885,39.13846835898387,34.776353745269574,35.46216589175592,39.25543145532535,37.70280571163756,40.56549729139096,39.617124895230056,42.6878222800529,40.82514574344573,35.3900000959869,38.62543077942042,39.29541275500142,35.9356974449739,34.30215384380634,39.594799287244456,37.51007270068015,32.28827377474818,34.535446497214394,38.5649814937692,35.62541715986444,31.73561279443327,27.20981311051071,29.3967094343265,24.94738198313922,27.49259187655598,22.636082359326224,24.37873678748698,21.668703662299492,18.619822293188623,19.74231859392002,21.454962225248167,21.983234744916874,25.840627106884746,23.826564203585338,27.478149814971143,24.798927455986338,25.44054265167459,29.32022373462038,31.50160186165035,31.286794186128542,26.136369710140585,27.608998088109022,29.260410895530573,25.54989160514609,23.067581848227032,27.168303329502535,28.664608155802252,29.742211798906904,32.245352334399556,34.16925508448879],[22.55434654354546,21.27691463830018,22.38423828328524,16.583310647201404,20.681332916346747,20.40464237121785,21.084483650449446,25.296976261606357,23.00063953523897,22.645780756152945,25.00168073581008,28.771268777528178,27.38926876963258,24.011754325850276,28.89948408309539,30.87511344710109,28.283320804286994,31.54029422322948,31.72939911266693,35.18892495435753,37.14744762586616,40.5441692607023,40.45838126768361,38.829673386525684,37.13083976164041,33.281162551224064,32.68736397552039,29.633015431754735,31.85499712448076,33.10720178151527,35.50903150019359,36.565083877408284,40.052222126423494,42.74350234259937,40.58558058573512,37.9202013662431,38.03843665326999,36.73773391173348,36.05103309056021,41.83533580084313,37.73702743213808,38.26674576400044,42.7822045239293,42.98327495792702,44.17144637020013,44.30218582888893,48.292406269371774,47.37525504468422,44.53375899096681,49.58467302998465,51.797799319122106,52.96992029143635,54.203924766761126,48.72743556431205,50.92308119295388,54.732629156587215,52.284883037800256,48.622821614030336,52.621889338429085,55.11771492476896,49.531266210522084,49.87655888319426,48.186277828310615,47.915929000646884,45.74623498495158,43.41263088668828,39.387333215428974,37.19367455065521,33.382719661068435,32.02177514277269,30.14136513039746,31.66665294481472,34.81984555317091,37.79236759036351,38.48535692529052,44.665001631957914,43.94861724283928,47.41807384982665,46.55439800031377,47.56675074285902,46.39729838152005,45.746570443234596,44.53096278635831,44.71236766561995,41.134563700216155,40.19337477569635,41.18754388692748,43.015462637239935,41.49105305260206,45.122411709225,42.103606377464345,44.56500315093426,41.584474365263944,40.3456362083205,35.81552638875981,36.029055309095135,31.88828824426049,35.8110434885539,34.174431094389895,37.081866192164426,37.75757569255043,37.972920149097625,38.59025849042986,37.50081799937563,39.6759050530736,35.527833617721484,38.18499298357859,36.332832983925144,32.787437130841916,33.71301152905328,28.88691235439325,28.20499393334263,25.044084537016772,23.895812462141134,23.502822466690315,21.900099110945025,24.48704243543676,24.00353290028212,27.35325762263938,27.317834248209575,23.848791991293776,22.08807015746704,18.8560188143631,18.606792727811104,18.74633518908247,20.60263598761917,22.823968533365992,25.411117201898648,28.461558549301436,32.76259224076558,31.61882749057061,36.32431354658631,36.18366709535888,37.56712145400951,32.78979464122687,28.757453095974526,26.78705261499095,23.866800090197113,21.80982093840161,24.376622774643966,23.1687479976978,27.042530312925592,27.604949291146514,26.44277965087014,30.78564814749186,30.241625121927335,27.459469536102098,28.387538048784396,29.16118887089596,27.35719498283423,30.002731138525988,29.965727782067884,34.98280810144547,34.753283554515555,34.84573101763521,35.287020567881925,32.607853509188224,33.62078601648809,33.0430476748989,32.936487838279135,31.28466100104882,33.00906278761307,29.792251891693297,34.4579241787018,34.03874857290277,30.390838382368077,34.026353756265905,34.945804143097796,33.05074525248717,29.291311623125953,30.378106696139923,28.673993300936626,33.048900668456156,34.84309309566614,36.37131939888121,38.32675103800871,36.77535250447963,42.2184518738744,40.716372159681214,41.98421459339358,39.121003355124095,36.95308561733827,40.33635826340316,42.09679053054012,39.03798369491317,41.405758052405574,40.0002965916078,44.054881382430814,41.359245914903475,43.303286020696525,42.49806299664399,41.32413982761443,40.03944778584463,38.05515101873064,38.52938791839577,38.635766230010795,34.16953451264291,36.111573426932836,33.89450073865587,33.59235062468395,36.43721078994527,35.794204027620594,31.770797558511365,32.004411605846094,35.22685595163678,31.654213766607953,27.58947744151253,31.93209824993429,34.69249232641885,28.657536660551955,28.98374622473654,32.473510974418474,30.355769732277334,26.52492063836002,30.064147656888522,29.25579387684504,34.609593928398965,33.04297561842172,34.15885947246818,37.728505978119124,41.91957573074458,45.43625883251672,47.07442480765048,48.71707401718107,46.654683774671746,48.96413707341838,46.466255532092646,50.05884559213021,48.81990804644124,42.72964482095142,45.48529148828595,48.26128974656046,43.92897109702664,41.73336909422442,44.44470554462694,43.851880205006054,39.629809098542005,38.44954561504099,36.580512478724806,39.263135085645146,42.507970588624055,42.334436547935326,44.55922756199795,47.40230732304545,44.56378765158267,40.78129317620307,43.187366501973315,43.50911108566437,38.70733753468309,37.889313860577204,40.33137828967261,38.42757273843817,35.35010640299632,39.86154424789234,40.359057447251935,35.882587920216366,37.108116419335246,41.010701954014785,39.71073799631909,42.54496745815979,41.48874381381383,44.826796365505565,43.17332149392284,37.66660230550239,40.952390163668596,41.96824461160176,38.66037215375275,36.949527857959836,42.45774097083139,40.675752109852446,35.37873980594879,37.52944928445276,41.82330495925737,39.10125641992269,35.17950675805818,30.58732375959719,33.14108517971565,28.719569881044755,31.053209319927813,25.996094339747685,27.275576387782984,24.056198946549912,21.62113005440086,22.809331313474,24.853376822413416,25.03089094674993,28.537619908609987,25.862286617559096,29.252764848390573,26.00215018656229,26.736125876370963,30.164237376170377,32.30109245658933,31.47829961508346,26.663463632599072,28.393311643683752,29.415105965900786,25.355872091323306,23.516387973124825,27.35528710660623,28.307101847715877,29.08550469428494,31.519192712974505,33.587227274483546],[20.557256290048276,18.694882554328114,18.961280052427313,12.887871429547726,16.266104401251347,16.3126092676636,16.654119043187606,21.01628551557668,19.10896747944132,18.690071734915218,21.43401582396225,25.06414264231232,23.34625159892706,20.421906530384295,25.44131889358266,27.089570972561503,24.41702453628287,27.962965155602365,28.49557204240655,31.602044305648437,33.88172730032141,37.114493494978845,37.378989833499894,35.85566571742023,33.781143378955385,29.96070296477136,28.92408400048929,25.733680350609294,27.89756485451513,28.983046324438764,31.942334840655814,32.56685144431627,36.26240997020639,39.03752317740535,36.63542679288901,34.022843318258715,33.80362670328872,32.62031797733849,31.841852634253872,37.56775656474592,33.75702645910196,34.48532542206562,38.99927167255509,39.02653352365416,40.39191344978394,40.43252739392426,44.49263632769475,43.45227131684763,40.41388460928135,45.48229712459063,47.66371914465061,48.67637295049549,49.9598476957616,44.60787415892826,46.642819340712066,50.590308199077555,48.33015847159056,44.63388980633269,48.64296594106766,51.28800568316633,45.8606232889341,46.41980320196772,44.72020596381378,44.79135868326465,42.39855824971093,39.877508593437376,36.26356363286293,33.9130391497737,30.509677718076713,29.128665819018522,27.568542522481483,29.589430150525097,32.307094484216094,35.18186762659838,35.42204065226725,41.64443424326612,40.53775797206442,43.92226643825865,42.809567198474994,43.687228639034885,42.24114623337629,41.45230621892556,40.0366670481142,40.14900372218718,36.64803014849566,35.787890277806035,37.057426345560295,38.80504540771492,37.63759317015281,41.356481875730644,38.60975424137861,41.39974147393647,38.40453547633475,37.01609431508569,32.40830192991525,32.96398741608093,28.751143101476444,32.184127849883424,30.36560247145994,33.21343313305078,33.586909227169144,33.55254348564368,34.068008903927165,32.814962903693804,34.8686928246567,30.717830062903225,33.407342150458206,31.58634749818559,28.112751098479695,28.99172104262166,24.208871037648592,23.399633949406578,20.353698243883944,19.155697026094312,19.1158436441342,17.566226939780677,20.498785224652327,20.53872419179397,24.20142858983165,23.87131326268127,20.562008983811918,18.500188258564435,15.04727554883533,14.300352488208093,14.185319518918915,15.794201906399518,18.101811127496973,20.599116773005417,23.703843529531966,27.970668362918715,27.031734364387674,31.717962693288246,31.603918222864877,32.81928269703713,28.15696251658393,24.05065162496538,22.319512429387235,19.359049723438304,17.43738964580649,19.951798339656055,19.353776061859957,23.50275393740841,23.870714527665356,22.341641722926905,26.64273852042843,25.95656162839298,23.046253728395257,23.871355724748977,24.486457618096633,22.817288361186698,25.44955941949399,25.774401697756833,30.79107622441522,31.06449088168171,31.079537844444364,31.164305470354364,28.367187706636845,29.1225948435522,28.568991788447047,28.19777295774983,26.53283799002453,28.467251359444745,25.30390904365441,30.01268402810589,29.67870888117245,26.274441729110062,29.762047298068047,31.005183206884215,29.025938572881014,25.20706811431265,26.024144585115934,24.19452467763941,28.45832273328973,30.16012573932032,31.694050726005965,33.60548148003299,32.206756293556346,37.58415787567527,36.08999077054289,37.256904913215614,34.45390607010003,32.150135798037574,35.60627791115217,37.463309047662435,34.45278768996599,36.9463077851255,35.662600829406564,39.8019966887135,37.39867718712797,39.141946266253356,38.353552031256,36.99352749460679,35.74959891565747,33.69221333743162,34.13769373687852,34.353226419489054,29.88175015175132,31.801588718418262,29.738531269456498,29.18712946340645,32.2905432190498,31.507475902052644,27.442738507627393,28.07245898335394,31.357375064473366,27.731770233013858,23.981143476190827,28.5208073743413,31.182589719198674,25.340450469780265,26.042111396165822,29.640620088070477,27.453752229813187,24.03796471853284,27.89089242195408,26.91022227200756,32.28680257286092,30.776202872908627,31.38619508370658,35.00238145284098,39.05744262699471,42.69588449203627,44.08249353931325,45.4025265597167,43.10089517634538,45.17733840723319,42.43585031684924,46.055511668092855,45.091910239152206,38.889786483782956,41.41848460381081,44.427714799738006,40.24184112144933,37.81073613482684,40.453212308096674,40.258118912965266,36.085616456137565,34.481218592710775,32.62863981950216,34.89834882656297,38.203067206639396,38.12868378206803,40.180644030496275,43.13143226352864,40.11939470598026,36.42215283992673,39.08736742019839,39.295660547184724,34.41685458899351,33.88038799631879,36.485557472583736,34.632720974299,31.685998456321087,36.35127941269499,36.9903256026561,32.68444963983648,34.03169434687394,37.942321580576326,36.54805877345616,39.10904424483185,37.74178482863337,41.14732776653662,39.86992526710728,34.23404030229097,37.280016461887385,38.64864776605887,35.490454516193715,33.45005829800187,39.08320432066723,37.76617975158288,32.35304871511598,34.19918190176102,38.809554290040744,36.48602261665956,32.520970263900736,27.957070991037973,31.053651118667855,26.860844742841724,29.14084088217533,23.91197930550385,24.51410766995209,21.145344397781244,19.272785403024123,20.054268132069357,22.2818789064104,21.885528506939355,25.01795750300614,21.813806372990374,24.944162361529138,21.44564908947555,22.521095437766725,25.806723964716593,28.1594567477393,27.17400639781222,22.399796211745446,24.620270891358544,25.66122312851322,21.32650667803433,20.049967333165434,24.181815166814832,25.339575617560772,25.884423574115917,28.437518554485248,30.50024738559423],[17.67072648377587,16.196280637067787,17.033932423662193,11.351627627274485,15.69272648542296,13.807151301551903,14.728771878679858,18.65297973355704,16.301621549465246,16.83507701211874,19.20887682734733,22.559556250864876,22.00135314495047,19.120468347576164,24.153108457950022,26.041099444467626,24.22407459339826,28.118770393000123,29.501855395382655,32.59356645631301,35.26845188943664,38.68900060304704,39.29462594265778,38.20559506642487,35.90515218471095,31.842027043353493,30.49777816119023,26.865769164016957,28.258927181597617,28.632032829223093,31.183069994020514,31.474460200344968,34.8573412346489,38.084606925610224,36.03739840906668,33.94844725367666,33.5624166308329,33.360897373250104,33.00635532878125,38.947718064401826,35.75435049250053,36.08592203837572,40.62366935264376,40.85240926699432,42.67748756477631,42.9229237865212,46.95817790335739,45.481637793636516,42.432453565622716,47.66841122727513,49.484736596675745,50.270584135462265,51.35686421095328,46.09229488696861,47.59907005542711,51.68379693722943,49.75807511148316,45.71328657734937,49.44069466968435,52.49505413879456,47.16633904580794,47.41816301720953,45.321340743408804,45.8192036063832,43.705563148968274,40.8253856915313,37.20988241552414,34.32830426422643,31.10070904335366,29.01085021440324,27.768568462618155,29.663500815354894,32.11108509056598,35.51915473275174,35.307904037893316,41.51880820838216,40.755874437380946,43.73853413410554,42.90639636793131,44.17840183927478,42.50403522080771,42.144128553192765,40.23922012122482,40.797866593324784,37.69315475737949,36.35492583403562,37.7540790543606,38.80781696424353,37.87376830885017,40.92400101605464,38.17981222013703,40.76963681762527,37.44027466410458,35.67430573633953,30.993326106254344,31.12330051168461,26.83751836358003,30.271913952866985,28.22578095027117,30.579396243931907,31.88535306485039,31.752429072924603,33.05086095494362,31.76214542818045,34.591277853892905,30.306627493178553,33.0208530419066,31.690414663102548,27.907420774698917,28.244334133895027,23.329981143559845,23.040406933769532,19.417161084596458,19.283551574491188,19.00133952049252,18.50148086105863,21.536441748789205,22.66621296659793,25.93329154213982,24.644668503212095,21.36252784530301,18.726195312937737,16.262449214019707,14.797226579848733,13.700520124861187,16.446972956035005,17.625817745326618,20.866672343299207,24.03656921349906,28.486634319964846,28.097819021315125,32.62100521687117,33.08046965099744,33.726304175256445,29.70586484806176,25.44910076615132,24.219712972493266,21.580952437036903,20.02751830879906,22.09585317813152,22.28111547904176,26.588392130981614,26.28440226655421,24.340459098686832,28.386636556161047,26.946721244726724,23.97016642985812,23.879049650826627,24.10898478263617,21.57263195755465,23.79851043624991,23.259717935497438,28.163455750300137,27.61482400862403,27.962622138024177,28.68274211804609,26.379322433944427,27.47297117756551,27.480446555973273,27.608384707795718,26.979292710974608,29.045713283610407,26.82675899065455,31.48258121453125,31.829652163189337,29.112444005917578,32.34169717859561,34.116476142943945,31.978037676584396,28.179303659351532,28.464305810708073,26.362941535193666,30.127536645826993,31.276457938303324,32.35569938169629,33.67677147428435,31.98095769049411,37.35348272106191,36.5627939787255,37.661461071098536,35.578578675024225,32.65943928692315,36.712700726054884,38.975327421760824,36.15245761963836,38.778191476404295,37.48770266123787,41.971058729726565,40.155204786962216,41.70112866536419,41.02249509342273,39.32887578557032,38.17389645691386,35.90339959892554,36.0985342961516,36.214261155748574,31.595918830407403,32.98200199270829,30.586169174323107,29.424896430878437,32.2031061742462,30.81700453804949,26.915476912927087,27.777613900561104,30.476632895149432,26.391851486652172,23.26370661675976,27.513751240978078,29.375900690127615,23.37171519076255,24.33120951517932,27.557813597145408,24.78233022723593,21.6137394102681,25.724646504633732,25.365014946925307,30.42673282202885,30.177664961105407,30.527643257452155,33.76744771928038,38.232985725662736,41.41963364371346,43.35330468949289,44.494963887215164,42.4186942761562,44.55377366313963,41.84586011777908,45.861751193718185,44.94404515608282,38.85722525035626,41.54837503780245,44.910426674305924,40.832590832508025,38.48170348743761,41.46745396709213,41.490180457422916,37.204467558912256,35.900107831268244,33.34500130796817,35.35209172009709,38.42181450020518,37.742393161276205,39.525807220810925,42.002772863369245,38.97731266292414,35.54503938626405,37.63010809864287,37.5084182199814,32.810674991290625,32.2293660704366,34.257483014793145,32.09877872472867,29.370507226988366,34.06599322757134,34.22594989789888,29.69347982019017,31.50105417099021,35.48499920390054,34.53867316117614,37.336054265811725,36.27930682455487,39.977111780949,38.51846490860626,33.04910891602477,36.556866103727906,38.016689578564495,34.803659262592696,33.27335037662779,39.101747426766764,37.77047901427916,32.53574471718057,34.81677249988138,39.44231925272813,37.1092263040378,33.27934876948454,28.57073911693051,32.067070115825,27.76838311239732,29.226441632188468,23.82172638115346,24.041290504279367,19.97998760014481,18.893059147391,20.33903281845247,23.23194583082592,23.02828723717568,25.56260861874407,22.089979580359863,25.351813774979973,21.670870702147955,21.50099650841601,24.376279606790003,26.154554946344856,25.0051697564944,20.51302506381362,22.08453073749575,22.578661417299337,18.52930157587359,16.949973150971903,20.52078578083194,21.221563807865092,21.888446364566544,24.368425603114613,26.474606226017464],[18.833556686578536,16.904615539950807,16.668590751543316,11.124777745827311,13.965577353012169,11.287979667840899,11.06178962453086,14.731800229195631,12.044193452827148,12.158720403631229,14.627887093674103,18.051653936245682,17.30439973951019,14.518014146285966,19.585346917391746,21.380149900384776,19.70863070009927,23.75216613053037,25.552893429887718,28.470583403030787,31.391948784033563,34.809806909773414,35.69190417657509,34.88901085660814,32.3640598904582,28.22868215773354,26.63162339678456,22.806241446046304,23.859195631131556,24.02495553248689,26.60460760701237,26.778060402391556,30.180744040102283,33.433549808276695,31.380956836104154,29.400099911837575,28.971357243401197,29.055163716550283,28.907402430324918,34.95005033773563,32.09030553769741,32.17214540516465,36.68799955082036,37.03771588242179,39.1400948591131,39.57950773380335,43.55285375599089,41.77252226492522,38.80372065903823,44.16114246455439,45.68698846724831,46.40654774291996,47.3314137476623,42.094937800752945,43.374427203184226,47.46860655609582,45.68224724918784,41.49371426522283,45.09930610760432,48.3122556582499,43.06085497043653,43.240320747383244,41.018054662534354,41.77759170903686,39.69840613719685,36.63905065598808,33.19970083386377,30.101396998833955,27.160613842209447,24.89014639908389,23.942694275598914,26.11148724110315,28.169522417643986,31.604078086006883,31.039255532378412,37.23773279998484,36.38515571182578,39.23897857823891,38.39877137369928,39.75018905429079,38.00299399380174,37.81042102700048,35.82988798423991,36.60418971877017,33.63895919448026,32.03185200043088,33.40929241810374,34.25421857476877,33.39657275831093,36.31312462455775,33.653346370438584,36.339905958395796,32.97917439527667,31.130944724667344,26.423588270422545,26.711854944424225,22.401408735407685,25.65758423515712,23.62866765967781,26.194900118095347,27.262299074111368,27.382822217804552,28.546026381087678,27.588921677017098,30.660452792437226,26.625375914482973,29.71472978841564,28.740278902898186,25.203690381825194,25.031950048017464,20.253306252903915,19.3998437878689,15.413950362199978,15.315485996716093,14.575287007779606,14.528596763253027,17.520926407196253,19.37977315256089,22.42258603213874,20.59516447244892,17.478229465509425,14.539070815405891,12.586781877822819,10.723414065569402,9.45630318605895,13.047727911244387,14.72582906024205,17.789578603749135,21.22226447757346,25.371565341546457,25.81829628172353,30.188251797237434,30.55599335319472,30.650975999660258,26.96666847622491,22.520289637903318,22.227827988290468,19.2457117874078,17.633881653652864,19.02938020028213,19.628675241408146,23.91515029469041,23.033657273253148,20.85583399156079,24.66204850348629,22.832356026107533,19.906435596732663,19.50177818446139,19.83892154439377,17.20155686626056,19.77022120278258,19.16218255384796,24.24667852614608,24.02051481797116,23.903584524875967,24.38962896801653,21.893174721427666,23.17966180033358,22.949866321166652,23.475036617741168,23.051900816836902,24.848284863895614,23.168975071518275,27.700785588055314,28.604407428419634,26.529183429955527,29.753217374500142,31.970956068932807,30.08083070451162,26.179946038701004,26.110266091530153,23.52593461531904,26.815884611473567,27.598225880417445,28.341542364281,29.501953791580842,27.547285424382434,32.97305709844179,32.370300831977666,33.599333880762096,31.856514060249285,28.972062802856374,33.35460711633061,35.798989577552014,32.969445712538715,35.330975686642816,33.85834237089915,38.58380974699441,37.1697188220098,38.72886113246122,38.30561233424274,36.50436570200341,35.70695656421458,33.54467985504147,33.870704857405116,34.34973822377465,29.88675092598852,31.28101546874564,29.267471677238238,27.551896841471297,30.758781988805822,28.939489685289708,25.0712856460339,26.7739801870874,29.36066575493005,25.075620128465133,22.817489628244424,27.16804025579088,28.52824216517937,22.906101129880085,24.512679556905894,27.650206473149535,24.551192906939875,22.199685472722038,26.669966700014246,26.329890508189525,31.18462877315552,31.318500401650763,31.022329762944548,34.16179351631835,38.48619928400122,41.668626572909325,43.39678118504151,44.05057830079248,41.70461758036884,43.467992239938376,40.3771367750358,44.48946326444373,44.03932497443909,37.86443300376331,40.154981968078594,43.9048949054797,40.11674243980231,37.42474386205199,40.24354672299386,40.90114264322393,36.76327759696524,34.78426999843345,32.3301889700089,33.485302588804345,36.61936686504953,36.03651310232262,37.35674861621311,39.87330362586951,36.445257448057234,33.37495066941073,35.750656311608125,35.186814357812935,30.446774396249335,30.492984968910356,32.485419323934416,30.22657735794528,27.962369255370003,32.8971796868876,32.99585742050323,28.659556867618623,30.939964604069463,34.915616228661435,34.06000187957135,36.506083895106094,35.07836967712699,38.955418214991134,38.03163458278231,32.50268817084604,35.72010697539599,37.708219490899715,34.73882523494459,32.870968882640526,38.81329179400048,38.11230990887391,32.84323313726254,34.713427500923245,39.676241023769144,37.85865582833648,34.0529232812672,29.480917943531868,33.48019200129605,29.509419082981648,30.84230784973926,25.41428094534094,24.8116992949434,20.55551694901048,20.384370937997065,21.390137023338013,24.406508783095227,23.53975685332182,25.418757080794183,21.182457714852987,23.82745376600758,19.61755568739271,19.838671106260595,22.02982948773623,23.941012316937783,22.08609007943006,18.108150424206535,20.40121884575034,20.309740114984052,15.70660974933581,15.576200963404434,19.048489134904425,19.452315104275268,19.51902242017521,22.022221280939984,24.216854904125213],[15.047394110165696,13.393155360211027,13.634265093897847,8.96381625611093,12.733174843985916,8.698032825378732,9.944353312565433,13.270093561831542,11.05887183071499,12.920518926849825,15.251713302387977,17.861924183632077,18.26968494187166,16.28490020274539,21.171614605475305,22.803382592660725,21.86979401673239,26.246153602042668,28.703515500674545,31.279872548238348,34.533840835560596,37.839436365792615,39.05567671215766,38.43774260805562,35.66173223198089,31.57992104871693,29.579685169643426,25.589393223622825,26.133502801375244,25.587359282183527,28.322303116975675,27.735148519301053,30.981184103819952,34.695806651862505,32.74531912461455,31.274414721910453,30.33564422162601,31.209334336102913,31.144429233156675,37.03434835317453,34.76514159406715,34.96737959408478,39.39940504433944,39.603616989491165,41.94128360938467,42.245627536570616,46.248964878439146,44.33075980104348,41.12720040141732,46.40830142528441,47.86973393735638,48.28422507527053,49.2490349110966,44.2802780973857,45.13460877549608,49.42637478411327,48.01182771638298,43.705251772962534,47.14100583772765,50.65457006190279,45.66035793263821,45.87459182824051,43.469073449552354,44.66902281017797,42.60091087458239,39.2893795308073,36.19530490476336,32.78038928537307,30.253262958336276,27.609011754558797,27.04894179876717,29.253870174845247,30.92156106511983,34.569156902232436,33.493663636326545,39.58444620740851,38.72164239675651,41.196593698251874,40.356528691022554,41.80682874412707,39.649104306983034,39.525039759051026,36.977205509157244,37.853306751624,35.267182979796615,33.62219598583322,35.42248607226125,35.722099494241434,35.43471763597051,37.90476420747041,35.52714139954669,38.244550221851576,34.662628608228026,32.401668982926026,27.675101042859307,27.788063004789606,23.478107182980533,26.16970245834972,23.669514676300135,25.319392739993454,27.25524719866888,26.66030381677556,28.66956949231796,27.13111489398597,30.558993600828856,26.21483172136703,28.910944640173852,28.143579823127208,24.2343044310452,23.92820507093056,19.08088853663813,19.274332637942386,15.327948472828666,16.453313930924676,16.431408560037326,17.17763036440284,20.43137512914608,22.982118718598915,26.011794802299434,23.6793001589479,20.842206086216073,17.57860043024962,16.117194384595805,13.55747289103944,11.064888286552671,14.420704287246595,14.168412688211824,17.924987552654603,21.01810975822409,25.425131913537783,25.809161908503576,29.980879867187852,31.003186990772463,30.924781605923332,27.779375543044033,23.51909730805588,23.073561736407306,20.912557521306756,19.9938029801322,21.44133261321994,22.90972531353613,27.312521325693368,26.308956485141547,23.759035267179023,27.301672092860574,25.093394834808283,22.07091437092456,20.916626877953895,20.486657169205067,17.224956744325038,18.815795469941182,17.733965345114715,22.43234913477791,21.608112771372898,22.27996419930787,23.25189203195525,21.41658359686817,22.50885003361545,23.21371859087138,23.518102577846037,24.004202420569,26.390908275809203,25.23102199049149,29.677664919559707,30.69141069254524,28.91199385302859,31.623490262193062,34.07882653184722,31.7969148146144,28.14284313284902,27.69652101175973,25.359904607151012,28.37467485011291,28.867353416292826,29.491967972858045,30.14253938372402,28.391123177974805,33.554400068398856,33.46987125273011,34.35241733967019,33.059989621304574,29.466388868364536,34.05383003597592,36.7328075244815,34.21095338038724,37.03347524028509,35.91354968004058,40.65625452110579,39.661672833251494,40.79631945432727,40.22864410262953,38.112382032097635,37.08842108181779,34.62103791313449,34.5525309309778,34.6737842075113,30.072924762994127,30.892352727897297,28.428621163356855,26.451565318617792,29.09838179390709,26.988172028422273,23.335399125862715,24.863303742168753,26.94571440786615,22.44734848698823,20.518138413288344,24.492126990271775,25.347776315213277,19.625741914822417,21.294208610753227,24.125206633427407,20.734211814841927,18.539251590492924,23.080553197851263,23.14996273892153,27.71089555061732,28.696226735319804,28.25352800571319,31.084833333732902,35.664949989790784,38.509133365176744,40.63334857632738,41.253665436597494,39.163477196311185,41.07196965454893,38.175705998069624,42.53011193300259,41.95176345802763,35.966776713716285,38.51670102591956,42.376505236730914,38.62439063614526,36.15935564549304,39.315555039848476,39.923007858398925,35.69511396014363,34.27450064944988,31.178246449935738,32.44815928667113,35.286995714425565,34.14846049529845,35.453772063367396,37.5537472328898,34.36176239812039,31.33981134033801,33.10369527085142,32.52180924069114,27.980235931650007,27.69632376074899,29.285761873860746,26.891060090904322,24.604897167531945,29.44173760657684,29.274875252608492,24.779629878620074,27.19611890705609,31.18994723378678,30.59660038502432,33.26106852316614,32.172164818528394,36.1668859948493,34.97742267690066,29.64347505935649,33.24639542575547,35.1424079925199,32.119180614309215,30.754417817946706,36.73924986873833,35.90860761444117,30.869975516380382,33.14991141069251,37.97783744749149,36.093158723971904,32.45912387388212,27.853242125539303,32.05288781427009,28.08258972521194,28.740403391159735,23.328111839267876,22.466271213048564,17.849851279704538,18.29592905014385,19.772896743629754,23.189566866622798,22.605569086612018,24.031290349017283,19.942680689434994,22.838738658264177,18.908356147413745,17.764837906708696,19.84448549494323,21.18649209751084,19.652797382968615,15.68374188779121,17.082616147046295,16.89579248244053,12.871930139724157,11.844670986227475,15.001780224935095,15.423377290454834,15.889708556083866,18.469363715905907,20.613407756852293],[17.484382664958197,16.088358922775992,15.93978306228919,12.563687960982127,15.012173050017942,9.282459750222023,9.506440568972796,11.088403009117984,7.727248115770731,10.279902216161638,11.66375799652095,13.838733393280812,15.498388453068555,13.69379121855505,18.061545220777976,19.86378318255691,19.924150552475933,24.285371447741763,27.454761762807866,29.91631835337266,33.398321796336504,36.81013272349235,38.30462323363394,38.17753474070121,35.30381623365621,31.11655938241478,28.986891558993122,24.79707653020365,24.488434408072695,23.313708707735103,25.328250318099528,24.591524304213998,27.378716292649848,31.346059886730504,29.84578948925713,28.89961467879006,28.01678257748109,29.780562919515,30.255215036239807,36.24233638940384,34.57041168515887,34.175216187636316,38.492367692545734,39.02739782338131,41.77141833579217,42.432543083556794,46.26070384321604,43.876889705685386,40.91831872404163,46.32571021753992,47.26855679572406,47.56544257773626,48.1974603805907,43.31721526934433,43.68088004467451,47.926324139379794,46.781009516192974,42.19231709856809,45.26154523805206,49.07235130740407,44.20610000957765,44.03914315167338,41.290570379563775,42.846362816140875,41.135970597464855,37.57524086022388,34.53261988316005,30.722098352328576,28.508118811972654,25.30662196079044,25.162885081937723,27.238867430704627,28.43592086823745,32.40819643960675,30.892885751604478,36.78671089988235,36.27969348312645,38.33171391805142,37.82446374812243,39.669944138785766,37.47977410391618,37.903252102940634,35.13108042545659,36.55895636838419,34.38949527502555,32.14897346598056,33.79698102744991,33.440478841895505,33.20437182439364,34.94895126075522,32.576929766109195,35.02519579072878,31.24236294721901,28.721287680970416,24.084174461432905,23.82706684759886,19.618848363654944,22.244709444027674,19.733280457422946,21.157822860020264,23.799870725317927,23.627765108784498,26.105722599463174,25.119898085987778,29.346184976964455,25.392924956032935,28.425615940268152,28.390680025447622,24.72727144781667,23.51649194870383,19.052201323270594,18.989321971765083,14.540754406038593,16.393856579411448,15.510418136907214,17.28817507193011,20.035922760338813,23.403385715476848,25.705396712660118,22.558608515750862,20.04761197659382,16.603069145822513,16.527395416124083,13.892774160889758,11.271906785282363,15.58262209718389,15.20907632434666,18.79747871848665,21.930314059142095,25.859856221513326,27.305002898509315,31.091360986646144,32.23901841116356,31.366122378804913,28.947880796976097,24.641616437513417,25.255105653842005,22.974751864864363,22.09115432118489,22.68552593722742,24.44482111845795,28.59410295960221,26.878210215004778,24.22057556120949,27.24739532446831,24.398160121253763,21.65793304383266,19.714042507266004,19.254569993740986,15.361278577750943,16.871481955863977,14.609823091747295,19.234739709075246,17.6708744594972,18.059261390694395,19.592053826969956,18.144980534539368,19.93400774579916,20.77338809007473,22.11691012084642,23.52414974530757,25.430450858366203,25.42348929397326,29.49291438534748,31.363750234331384,30.456662588589708,33.07912168406203,35.98778697995802,33.98266786961795,30.32777920582926,29.48746676952967,26.693613926952086,28.934559439407845,28.77548224653043,28.732791119250102,28.828373932757657,26.543565641341562,31.63007518206409,32.22257394966395,33.24875972392447,32.770889326075455,29.069632701464126,34.17619152166838,37.149540611507334,34.745947507086434,37.205006607933804,35.837106144989484,40.877233097038996,40.458172751635544,41.60799684978891,41.36715804688263,39.12108939044483,38.517325242467905,36.15779438048917,36.13717751664463,36.5431124565869,32.151309170900475,32.74260838596123,30.529208015833422,27.869293051893536,30.586841915696425,27.80813078689097,24.4835980162773,26.780828246054863,28.30317518081031,23.54771493629386,22.881319648074424,26.500325211290075,26.328242700965088,21.164773924555593,23.408072799579518,25.710977963068423,21.77001310699617,20.611736484433063,25.27143346534816,25.793048807757202,29.761883215807128,31.75352705882839,30.77339125059174,33.19020865764316,37.79442203483033,40.26480146798098,42.55406899553265,42.689608841315135,40.58215487028156,42.18994659312386,39.05788760985425,43.64814524682138,43.48837625673382,37.6350324803874,39.890079991749616,44.17381738407192,40.775460217129826,38.145666584719734,41.261533866018226,42.43770129900165,38.35885993554251,36.59796514532592,33.35991312161487,33.757914637791316,36.4425601660453,35.060764506501975,35.73395665198118,37.48438400955863,33.96823496829373,31.586284547529946,33.135583837051065,31.868446620271552,27.587997023591832,27.89543756830558,28.88922920058054,26.1883551092296,24.674243471618617,29.55840656488255,28.893929897464783,24.532078016647304,27.718176191907048,31.619960870607407,31.499093076796076,33.97271895949307,32.84014146016622,37.08381737691004,36.22992308802802,31.142238452779598,34.698099855451574,37.002685236890336,34.214822589889785,32.94911350136345,38.94924134826212,38.56852436740849,33.74303468610165,35.889123022436195,40.83123448730244,39.312913668609276,35.841915931261774,31.39263799678362,35.90696637877234,32.16280774977668,32.403206224772624,27.113268239139767,25.65940846167839,20.86973968088756,22.19443927748515,23.62077196408966,27.17101613592755,26.31748866559577,27.04204961195757,22.538649558229316,24.82857877876398,20.637586272582457,19.16065738681501,20.06817805487681,20.929416787303314,18.526458448893752,15.813640492147334,17.1723743312905,15.656052217688092,11.710227647246773,12.27618944683686,14.097670376949322,13.307928109623335,13.066009841658673,15.40218809737571,17.694796189518676],[14.43216413082816,13.211692244344556,13.195494373991261,11.169048124616145,13.769453686241015,7.459680011626199,9.187594018399828,10.380969591273091,8.533487630462465,12.374364872796667,13.924466894932406,15.106284835562219,17.272683168527482,16.453172478462033,20.58411515059922,21.963658109155165,22.305622737476725,26.87515116111639,30.34161683480676,32.40762506653119,36.10394392013486,39.287006783249815,41.03071046354,40.91512398593531,37.81866484270174,33.78843468777754,31.30825130887582,27.12261478094929,26.663466697920878,25.06021185085914,27.57698902789372,26.06580641490608,28.854455956521065,33.10171142683955,31.49167332283612,30.866063471367564,29.424074542536662,31.593839160868107,31.934700526641162,37.63415453488261,36.37973874381535,36.32946286851783,40.54492443764855,40.80034289751226,43.6229648198147,44.0332009885284,47.91155411729797,45.55126296057707,42.309388076975374,47.553512946362545,48.5806368053446,48.60646777664651,49.38157615905623,44.7914947164584,44.89204024426017,49.316245743098186,48.467513270854575,43.91105194870215,46.92005541783876,50.89523918035432,46.30098303333531,46.35325554876443,43.59916175296,45.48339817604623,43.61649217806331,39.92716195267269,37.3221943149526,33.41841580308424,31.603948445569987,28.38782521135937,28.504355838540757,30.747245924109382,31.642971862878767,35.54340551743158,33.65773378463849,39.43026746249634,38.67368226062375,40.484617200044724,39.79258554969238,41.523833057299235,38.93268543348657,39.19654392444868,35.97230545243742,37.2847935201826,35.38488168006382,33.352291987058514,35.46637908894813,34.8208138541687,35.18684190708845,36.77765394501653,34.788722725010416,37.42051798387046,33.58740152031965,30.795345454014967,26.220988427606326,26.076044253664687,21.98566057466686,23.776917661662694,20.82280115326215,21.27174777176744,24.39728405116352,23.27699459244167,26.374938834254955,24.63382059145755,28.872502119425462,24.624244831364805,27.14368744617932,27.167062449974914,23.233742587828605,22.07043536899238,17.657788128017046,18.624499560588628,14.629008395522336,17.295676379765844,17.39596449886482,19.410881147264476,22.47696706241918,26.123239643255648,28.66904063569962,25.43075396335985,23.15604564389183,19.60666917296193,19.358509118226234,16.28822761965896,12.987883874667874,16.46887224187517,14.528675189882646,18.48255097799378,21.160777393544755,25.2522686491733,26.455329418359135,30.02728169162374,31.701555660980272,30.82218580317635,28.807133508524338,24.785499210032484,25.111306699928562,23.591363784333623,23.293791467073117,24.080857434508324,26.495400167476635,30.753320223483477,29.150461085769447,26.224932841869045,29.098306914602368,26.173019785570958,23.33157674779662,21.02634508937293,19.852726843777234,15.780735879199575,16.187736643226984,13.912918481020984,17.929166140847936,16.109860623018665,17.489621477395183,19.203289419736315,18.37508910054814,19.594233552125914,21.328062208953273,22.043438611110005,24.01428965674155,26.56626587971459,26.698837285252594,30.702283305137257,32.41234868543406,31.599020404400076,33.739850325014714,36.74566486993612,34.38487001470205,30.999972673585702,29.907873563040983,27.46641734616161,29.574267349918728,29.31046087074743,29.34035145016695,29.109620862674504,27.263649081129053,31.994541824271156,32.85809342185831,33.48461570309046,33.214878769343464,28.95397343076418,34.03023176620429,37.109354577906736,34.99594286103513,37.93064463648423,36.9836571435749,41.9007957135,41.74503313138157,42.476969893719804,42.037285058042315,39.55022096870246,38.67372466186125,36.05954666157092,35.69035480990441,35.752900856625445,31.30122204850542,31.421114211615155,28.87211603464702,26.091292610318114,28.286978529207907,25.357845071903863,22.277965523674307,24.36357992946362,25.454741863525022,20.63422890764488,20.317977753150497,23.52959324837708,22.944645396611246,17.864671165434086,20.18467739939628,22.187750621128348,18.08198804034833,17.26052651024042,21.894198204682468,22.678132134643235,26.310549714437332,28.90258521255151,27.73420160122347,29.880473988780455,34.583445595490346,36.80920002729669,39.321212893441995,39.41283309883932,37.49165724568018,39.19840756734877,36.251270566453115,40.97302563005808,40.69773098293113,35.04038980359764,37.4826417488788,41.79058210080587,38.44668938324875,36.0259694123556,39.37429794284744,40.48367982387851,36.386083524227885,35.089248948149724,31.396820629468788,31.922279778607443,34.336671006166064,32.54077935884729,33.25450979738214,34.69219890534355,31.448358259105433,29.051760856942714,30.107029906620543,28.92266506541331,24.819200764647668,24.792538891775724,25.513591618276436,22.76198696491787,21.186622334911487,25.96022962019806,25.16142954257106,20.717984120741818,23.959022787257254,27.846617257502626,27.879536931029136,30.465552566991622,29.575166326228203,33.85769233893052,32.831247700161924,27.931365966767853,31.712321246100974,33.93723360852814,31.16117971311493,30.264272616281644,36.215491107338906,35.78614877656144,31.204459363720648,33.588489908333855,38.38071334458294,36.881039176647754,33.59664630709654,29.235916582157905,33.87218747355222,30.27121785971769,29.99500677315605,24.870519194958568,23.12218016355936,18.244872769890353,20.161466613860167,21.772945576940348,25.489555204957075,24.793085121302468,25.077059023677148,20.81294519674602,23.20619596048665,19.42503519115879,16.87152914678303,17.663916227027723,18.01618976738001,16.07643634110393,13.385100958803974,13.849841108761195,12.326137188722159,9.154319988944708,8.838866181307084,10.244766228672683,9.670525425250032,9.947199217150665,12.54174183187884,14.744778964653436],[16.259951281594034,15.777861954398618,16.32963290005335,15.025954254520064,17.72704692900342,11.252698238549929,12.72141357563321,12.744259273633604,10.428198666286294,14.368364199942603,14.901929660670936,15.560090135207092,18.88557159191595,17.989540071217704,21.529155759694763,23.15930738305287,24.210062991911524,28.574176326432106,32.31886185343627,34.46430804697325,38.16976347741819,41.48759570210089,43.27488360625409,43.4176812582721,40.39552709980225,36.27732031010382,33.892476192390454,29.652669701586618,28.731302055885656,26.803923718958654,28.503398017655183,27.0481462730987,29.269513671212746,33.67379927066591,32.57321553180742,32.363310443609755,31.084112729963383,33.81246756596667,34.50994271260922,40.25259084189245,39.266541207020005,38.8065550562955,42.947732145797765,43.45843836025747,46.468950157788676,47.10469237270829,50.87149807683763,48.2706891246795,45.22073869968848,50.52631731053527,51.24986859655925,51.22300501732775,51.77546971792315,47.22885814122299,47.03226329459844,51.384464649556485,50.68606912613627,45.95676235718807,48.6835360778593,52.82549845306246,48.28945006412047,47.99289935469763,44.99220669150258,47.009614654259536,45.49092784801019,41.70478228309842,38.97660949838467,34.87235413146028,33.09300229873661,29.50577706696106,29.750884311225448,31.638141067448995,32.40874480000223,36.601769291106045,34.601303381060696,40.15542770002826,39.864085905908276,41.34555205103384,41.0264322081287,43.10035000419089,40.57590517114764,41.269549225018714,37.93149028813344,39.6216751009504,38.00421429160079,35.59892710773419,37.528112913291054,36.42813528045571,36.731417766669374,37.68666216932259,35.625031597922515,37.85140456444526,33.87388290290595,30.93048085817678,26.5668393583779,25.870000299539075,22.03621721651668,23.91772242925575,21.080332700958465,21.034224475746917,25.08876080603321,24.26267221488058,27.86612118307303,26.48761969906766,31.237152052415095,27.255763645142803,29.77936240984191,30.218048569540375,26.384006756905425,24.80522048722719,20.74694801105502,21.780812304574354,17.71490283552733,20.62360515908178,20.187433088605577,22.538370832619513,25.23590149115768,29.030691191507064,31.136607618175777,27.577606282770333,25.386102301649238,21.896419756991552,22.288156513973703,19.44989843084513,16.393866015102933,20.22817892106427,18.293598810494146,22.134839492203753,24.713598795064648,28.56830586409796,30.120709348821887,33.469258658572976,35.290105980053745,34.08522796797828,32.44578017496995,28.462990669081684,29.075383581963685,27.536429726063467,27.177228930125754,27.71587007018244,30.015702634059878,34.15230831261845,32.29121432204277,29.434577504331216,32.104962145312776,28.915145601515334,26.281487554203057,23.65574086912044,22.524833825116467,18.18997122538895,18.33608091591982,15.087361252681534,18.49660284623189,15.369789590750237,16.976290356075133,19.575608165591362,19.420429873792326,21.15228737494665,23.09090367592054,24.494286200246247,27.014614960384517,29.23989726603546,29.943854133988054,33.73686622906101,35.83460278632999,35.32406664168855,37.46954156356098,40.594963265242285,38.32616123877881,34.94198265587458,33.76362256433053,31.18366335041452,32.99609372929146,32.43637358429978,32.10599272149125,31.514687110440004,29.3511672942069,33.923615072478604,35.27482419991585,35.964591210143844,36.194665040117094,31.87979114284658,37.169361216788054,40.37973157915239,38.35923238063005,41.112022073567935,40.02649029511001,45.07041463861033,45.142234395674386,45.91891144151065,45.61944920691444,43.08631084819337,42.36881814053192,39.78553975680221,39.38864243804027,39.474970021781566,35.09380278026713,35.021009244066825,32.43860162866695,29.445445746028213,31.36900679832793,28.151579859596765,25.40617108959947,27.541714612825686,28.14383744021178,23.296715768102846,23.507761974196185,26.247791986244298,24.980321986362654,20.24233258905772,22.558032077458858,24.00113574225429,19.599614772201548,19.20985491822617,23.604598762507973,24.923256770131378,28.0124626553294,31.468926999311293,30.249955796405757,31.989482365793528,36.8399322894293,38.60887600957309,41.508937191424565,41.47725023562529,39.79986320772469,41.495463710379234,38.6501877979222,43.52926023103178,43.30766094011482,37.897680817914484,40.356297097745134,44.78217371189667,41.585499139474116,39.27449069277756,42.71105953113148,43.90846387338277,39.84364313195479,38.71724674001011,34.81575431032258,35.140802086676224,37.3391512823649,35.2137956872342,35.64575069818177,36.633384051659306,33.44436490360536,31.452695307909472,31.97111377777585,30.440872225685197,26.761587971715638,26.784752829729282,26.81123071408705,23.838751971261356,22.745214443876574,27.232052014979946,25.86426336314023,21.4330655734344,25.10198276209853,28.84147029204423,29.38367029886209,32.07594281539287,31.51826765689053,35.885325766675415,34.74420356167443,30.227687517836877,34.20260250527322,36.39968651261202,33.68353477827615,33.20143077756352,39.05597556202968,38.586749985391215,34.276424652707675,36.85638799946748,41.49518157861548,39.97327016590974,36.846602587372296,32.535376638038834,37.13019179568478,33.51668889285965,32.86571550523792,27.88889124579564,26.154770728349295,21.252989731738353,23.35096298979732,25.240462898477094,29.026694705826344,28.523367258500297,28.62985913182553,24.5294900230597,26.82613932962751,23.173307983354093,20.18038963335868,20.433405786516577,20.150124563281466,18.066569913799615,16.307327257305705,15.996417919707715,13.652615754470895,11.623130090131667,11.380716884806327,11.038311985504457,9.010378926790786,9.208647464603002,11.209116499797627,13.377757086665348],[14.419198376388108,14.352168225514971,14.977230952520518,15.566274241321777,17.961815743419923,11.760886149520694,14.138642064106147,13.569858016680035,12.877177679030389,17.445403847009946,18.157804407077663,17.88563274784441,21.490698832881375,21.52237566992123,24.800884872174365,25.95434455238302,27.25313462695541,31.765722784579804,35.79260048968651,37.50056517042625,41.417265445435255,44.46737028016474,46.53701879071069,46.71050633506564,43.458796044229274,39.52526874130222,36.787629329708174,32.583206550140716,31.49763304436303,29.150400065841826,31.34585391037069,29.086296893305178,31.253961777201333,35.88723655334122,34.68549337382709,34.83872353101376,32.97945659915114,36.13401506016753,36.70736998671295,42.07820947335628,41.59001968808172,41.46751561876744,45.46254957648525,45.68159282248207,48.78771510220745,49.16650970791697,52.963872237227456,50.36609762768392,47.02914016350492,52.13539187797717,52.90518743021283,52.56299220665273,53.251734142878064,49.070161464195465,48.55624373953565,53.05873104315828,52.719383574123825,48.052694828175724,50.66214282989319,54.971938492077015,50.782960961214776,50.7151837936764,47.72034274850824,50.10810414023023,48.4324401572191,44.52001318212392,42.29805987783341,38.11583030570387,36.78829915770077,33.218777736634394,33.73888034403163,35.82685119208477,36.25649793614414,40.33007380063868,37.92980754954865,43.30556955944749,42.72766684437084,43.91839463030176,43.3955699537772,45.33451320521742,42.38364904057926,42.920647699882714,39.11134991878914,40.69066772820093,39.42205099036316,37.23776139245904,39.63645032336206,38.20374579550782,39.16964360610909,39.92718477517575,38.32479811552456,40.74231309122686,36.75977305199153,33.5622810840682,29.34711315563693,28.820150669188944,25.19898863331762,26.119469492595456,22.903925641107083,21.732525444704034,26.20810925833564,24.340472769388565,28.57368373591395,26.428346919148975,31.12241763489227,26.980131143999323,28.83926016858736,29.429899104209344,25.47117541356766,23.905280295848083,20.226921469391346,22.29014686823888,18.907208886247318,22.452963602548916,22.874035130804213,25.41786859716466,28.348683794979912,32.42101316369001,34.724398650752235,31.071728362098682,29.133017212261972,25.565282216826642,25.824401159789485,22.63262358368023,19.11333733215214,22.141483717955165,18.884519393510068,22.799399192131453,24.77024461262961,28.57217208047371,29.92942418503791,32.88540160518968,35.27069192301817,33.9945981241405,32.92435307092232,29.349824611976313,29.76290500101807,29.013881814371484,29.24034205097527,29.881398113659408,32.80904112092449,36.97551105141074,35.20220258152664,32.10732014643353,34.5569864456512,31.306054952927454,28.637493938615613,25.69121586723221,23.89500902813688,19.577840110190735,18.54239605812832,15.417552891596834,17.675942289106963,14.241225959012892,17.079646148875224,19.79291197983503,20.414088524224198,21.463023321393994,24.303529038679564,25.05449400371762,28.16209935117786,30.960246967725073,31.869894544399884,35.50077424052187,37.46121930957369,37.134279067137136,38.735199266202315,41.96554944542354,39.37923793081541,36.33408684370263,34.875263614552935,32.667169251608634,34.23388407254842,33.51812491878786,33.2170222694385,32.236981299315126,30.570039468460138,34.63032277794499,36.3103630565719,36.55551413788778,37.0856525381411,32.238694584504444,37.42502925887814,40.726372801493966,39.07435327384012,42.27165008905388,41.64124723969788,46.51503845456477,46.92175692310952,47.22684493312425,46.74487162887689,43.964922053286905,43.00759597135124,40.19592751010821,39.42255746405103,39.15355567534635,34.82607216026543,34.191451020846515,31.33101766151216,28.195988233943762,29.417035524472514,26.012862827062474,23.779300395547658,25.668794821846895,25.569105575360968,20.832117018595874,21.7480618933341,23.71370912735547,21.679836524277672,17.509169406241195,19.88026432843625,20.64833368554009,16.08827816667107,16.546634441933577,20.615001290163416,22.367421975940417,24.686302243123517,29.075806322146775,27.546015128106465,28.770885229240854,33.64770294947488,34.96538083105306,38.161426463038644,37.97946215013713,36.58003394908539,38.32312633535211,35.73437698026773,40.741411314833506,40.4444436272028,35.416272958218194,38.01270429734589,42.46110284567551,39.44449282002968,37.4106602062576,41.055630656871244,42.23906387542491,38.253754298642164,37.64784519075185,33.284491197827826,33.6182623954862,35.40459987827322,32.7626859642989,33.126812744848,33.60047969066823,30.805289878006374,28.97289027350662,28.74293482770202,27.22575620168584,23.99767126666981,23.656566288806815,23.1024070806217,20.066517872825987,19.150307399928508,23.274706376964378,21.563091342246484,17.162709353654485,21.03389657705206,24.616182024953016,25.51784089823068,28.273901130474062,28.086982605809908,32.45652654366702,31.15966660273258,27.08876308037361,31.251948752013906,33.36236926308869,30.775570731871312,30.816615441898453,36.462422457096416,36.022275147254796,32.1642090648094,34.95067700582449,39.31881593964871,37.91397716986157,35.11438459553763,31.06083016060683,35.72821634824079,32.42044714190924,31.10158168450167,26.531314843955705,24.411327643908297,19.678400848490636,22.496301642338317,24.47280561613877,28.296427011784292,27.938732844899267,27.428724954081428,23.763260022973927,25.962645916072805,22.94754537505444,18.88892615970007,18.714013033611163,17.60319177272586,16.185222232513922,14.995873698628014,13.331072159600359,10.765255921969867,10.701206375115639,9.585322766508659,7.438147971630932,4.968343686537576,6.358153471340214,8.270028844519281,10.10570270613659],[19.465697607222015,19.774195171358606,20.523232811591786,20.969058383680874,23.166441103842534,16.7180652529612,18.259750331270563,16.736743167524267,15.285830195296937,19.513905070300595,19.119051465942626,18.296059977121818,22.958501404618534,22.8849952527226,25.323182453842545,26.72632703192844,28.826352980497436,32.97712356072429,37.294731278842306,39.067941297570506,42.9523974676712,46.151940119722795,48.264911466155695,48.80810756178037,45.66576790035549,41.64678327858274,39.061044055041215,34.83747260207749,33.18568088030424,30.519909043792442,31.614197454899486,29.537048953638813,30.92342127111117,35.620004879157186,35.105548364074636,35.756695341732154,34.20488053326764,37.97549194800645,39.028127328435566,44.45276935771118,44.281918537367574,43.564295065445556,47.429393364886415,48.0325474045982,51.373452347350764,52.11458685926827,55.7137220904141,52.780071277440335,49.79694354446844,54.98429065249036,55.29692047402018,54.9395683726573,55.275707515141896,51.14118129094931,50.25722905847805,54.59965261530012,54.42551288111945,49.55016867084567,51.76972463177206,56.255498327697154,52.14576057169192,51.60271421596145,48.306345627471416,50.84397494871068,49.644276536005854,45.641100831155654,43.28621579003365,38.90114133868881,37.67326463181942,33.71706308636846,34.427233809013416,36.08648139746731,36.2748057386965,40.615812597465656,38.078200376978415,43.079960778612055,43.10210375317203,43.858440522420004,43.838471499353965,46.213317691082274,43.435684030908824,44.56578480750421,40.73696520998567,42.83179252512106,41.89792112620725,39.19412824035912,41.246163423340036,39.27826210958287,40.075161381757304,40.01191984437794,38.32161998064999,40.181345662579304,36.09492469491542,32.78546396915201,28.963154145871115,27.791452399576656,24.64922924315241,25.620096644091596,22.73565038082544,21.10894412451167,26.50961573712467,25.319785951924793,29.907209109498616,28.51926441751192,33.791741127012436,30.184406460009715,32.2764316985209,33.40835315209625,29.764685072556507,27.614577446923136,24.394822675350607,26.040958506525065,22.44340868241893,26.022768034550424,25.64217343679371,28.542409431106833,30.955995335921855,35.20371305476076,36.89529645628641,32.86851656316435,31.102044164785298,27.667673531101205,28.72256346465845,25.836221262735794,22.67371481829182,26.268583411847523,23.511355308424104,27.162882530378464,29.213123178945185,32.61523776861362,34.60110000465823,37.32692322737657,39.66285842787409,37.90971895038104,37.2216220029184,33.595741504935006,34.57239940561511,33.52936511660254,33.53547106427226,33.74870198085068,36.472598742636904,40.4468813894963,38.27411310754981,35.299301102380966,37.461904360454746,33.89521566198663,31.538537207841106,28.28677060605939,26.72752361639906,22.24472968882477,21.288406732804606,17.203266099797382,18.76467541822815,13.920772205698912,16.53735182025196,20.192903149613993,21.486528125042682,23.273428409914928,26.026759944663812,27.79017628054619,31.380955238115458,33.56737459973944,35.19732567151331,38.527892831416835,41.064709789347695,41.1818827210301,42.8995260920274,46.31061791353747,43.98468166562501,40.85577511365486,39.31180466692208,36.78100329138035,37.94592776859608,36.84937636514844,36.044016407945854,34.690370265701475,32.5180061321454,36.39884235039563,38.63347685678866,39.07141668021927,40.218515585735574,35.518445345029676,40.98142744511301,44.41879319100563,42.80579148304457,45.585680524141544,44.65602373885423,49.71953532342993,50.422132324070645,50.88380613496124,50.67371364786461,47.899276747762435,47.27882824686862,44.613281528947425,43.951888525847785,43.90459642419113,39.73340438167833,39.06129323689856,36.394606291001814,32.98407650365263,34.21170593221216,30.50004362430877,28.565089254301764,30.776246435528545,30.332299892869102,25.664737163347066,27.122761745553035,28.81137677808728,26.18997590160632,22.60841719907178,25.014251331975398,25.317957833265964,20.709455404520767,21.60732100967925,25.34272654195471,27.426293936833304,29.22643451579288,34.21790087219577,32.594542940524114,33.45510576500464,38.30002513934631,39.18230026592603,42.60872838523559,42.16555505074455,40.91799926185272,42.473447887737045,39.8606738551202,44.957643332597065,44.90348728546283,40.116487846231685,42.520542372587265,47.149798969630986,44.38187029888163,42.32264736150206,45.90568799308912,47.359381547312914,43.48026271942019,42.72894689258854,38.36729489366899,38.2260851799223,39.867131354009565,37.071545169244516,36.95521772715976,37.01318823433524,34.11075882005286,32.909871242694365,32.340467601414005,30.26542279122182,27.562338039612392,27.635312230253433,26.387436302558363,23.212372570609322,23.119681682574214,26.834000368746363,24.539058233523598,20.570677330887953,24.844629290744766,28.070543468432813,29.504343826695436,32.126831640329115,32.113196956050935,36.51135187340311,35.34536744836904,31.71180874739487,35.81595639421234,38.03620141867842,35.62450883022261,35.86234033841445,41.37422331315262,41.07745068596526,37.445646030623536,40.20854400718378,44.51713400571304,43.21699380469945,40.532879152061646,36.551740709985104,41.20329505008069,37.904953847564926,36.427721368736606,31.9648345411307,29.855887089615763,25.171643839498145,27.99562893052624,30.051079846630987,33.87764511592842,33.51643557133581,32.89775984301703,29.128881501067905,31.060143109928774,27.90441363210391,23.9738688530059,23.187666437306152,21.730904058320803,19.786835196902253,19.691184292437757,18.0689656356326,14.733530296929002,15.044334030273207,14.981301956511167,12.08034898441209,8.451738031616726,8.428266871391223,8.759895825517932,10.189589676721825],[20.93753044718431,20.749332803138202,21.218972420825775,20.290743155781225,22.46482037668374,15.833199021366108,16.50488727581859,15.240967462701956,12.507924699908086,16.079907904788197,15.317920628484092,15.167407263812551,19.706161914856633,18.921349233348327,21.410307300911686,23.215744761213745,25.203504733780267,29.174263541267184,33.298025319041955,35.40068128741787,39.10880072963789,42.518480046350106,44.41797113711886,44.97663440604093,42.03096333749279,37.880190642085665,35.59072055641451,31.357665561169437,29.7671114598779,27.420454310254602,28.01734381709023,26.64507631813302,28.0611939254088,32.55537802554633,32.141512443694516,32.49996278575465,31.46670444129104,34.90981272037445,36.109578877680846,41.832290242123776,41.28456532544822,40.23133553022601,44.192700278565255,45.06629800823641,48.34943317269269,49.33542951386632,52.890398481201416,49.92255851930486,47.20519905272095,52.57029714749127,52.80418241984905,52.72147282700807,52.920546798032916,48.471456987088025,47.85399639367067,52.04317437200836,51.56232078985793,46.63305759798062,48.93149244972795,53.27012063276168,48.87416874395994,48.11380304310058,44.80634079219001,47.04329979270663,45.99739489491995,42.09805322969537,39.336587153003755,35.0044001925318,33.44827182128149,29.450723226049806,29.986453038963564,31.476394387559115,31.877722398146794,36.319415285135506,34.079206475742446,39.218820049471425,39.48932422294266,40.48433783369191,40.64694172495165,43.150067224591616,40.75353897867259,42.04455258630328,38.64366716232512,40.861162682518454,39.64183716070402,36.71355294682942,38.331781197732354,36.62907527135247,36.84266140270301,36.9272346200397,34.836485937343646,36.53150048446773,32.44285283527167,29.345852681737902,25.389646680420324,24.05076806810622,20.729868316746618,22.550282334345095,20.01597347696222,19.476939233603737,24.458786186549343,24.264210226485023,28.252863281500144,27.59787013711249,32.933617577271384,29.50686581889271,32.21620747103622,33.246732504461846,29.75106997543643,27.541556746116136,24.035002365146816,24.76530069100394,20.6315210361024,23.6906443001556,22.52430624417929,25.331857868806352,27.440550498653124,31.509889384820575,32.926192945394604,28.922741660458815,27.031295106376692,23.714170260728448,25.043124851880645,22.501203120343874,19.80152587941562,24.009996752471054,22.36007542107926,25.859852717072588,28.397464559373535,31.76582276794201,34.015659566024766,37.04316694123523,38.87175679359821,37.116090282409644,35.99663220595014,32.04574119742316,33.31020602971839,31.59910878841282,31.13488935373565,31.151772188620747,33.37767977587961,37.23362795545494,34.92697173350845,32.170860256552096,34.426140005423115,30.881792761680334,28.620293831666903,25.59916939918458,24.621112338633488,20.149434795549315,20.195319435286194,15.972904345370411,18.600915842950567,14.205060111039389,15.516927220124131,19.021888335839325,19.589117628442708,22.022422119073767,23.950202580018797,26.348748710293183,29.47159094821154,31.09811823341387,32.65462521106857,36.051094034331044,38.77022424671045,38.83271119009648,40.98816507899601,44.3430011900062,42.33903202101459,38.94198401254727,37.597777214382944,34.72016609902258,35.99664506188342,34.9807172074831,34.09915272345594,33.0599365637631,30.423627271125653,34.74366592271746,36.7048092234829,37.55333407236824,38.4800197003786,34.27033149208518,39.837740239173826,43.203480618619444,41.27843813446145,43.61861352143836,42.2770372046641,47.490032467240006,47.95073286861296,48.817017339874674,48.80233252998185,46.24527796182881,45.885379538164536,43.44695357867222,43.13034915695614,43.438404162536976,39.25712878074459,39.074378500698636,36.70788407238321,33.353613619175825,35.25709454884918,31.656211819385895,29.267811490087283,31.804054465954604,31.97876486061209,27.1554792340879,28.13063691929899,30.5251292593143,28.54042557797061,24.445317979351515,26.94093779126797,27.88929120285252,23.321087150424674,23.6130472330933,27.77686040556983,29.429451649984003,31.958421959294345,36.0955298244096,34.636242343952034,35.99842267230559,40.808548379327924,42.17151378719345,45.256209025224116,44.889413779389535,43.303766782852215,44.76717165254883,41.840401495488095,46.83489979279739,46.91182846074866,41.72748905368142,43.95380234099421,48.61840953519822,45.711731249397666,43.34415250879849,46.71388344512408,48.26540144978226,44.33586086271585,43.02109208846825,39.09194563553956,38.83333680929157,40.86045177979285,38.55953331116146,38.467529572896346,39.04945961950376,35.715466369580525,34.370088959769255,34.57352349382646,32.46202142151161,29.263822091365423,29.733819651361888,29.09897510396921,25.959156689169607,25.66896100031914,29.867100978958828,27.971932664418567,23.897356925337807,28.06070941368346,31.51988654379852,32.55029681314433,35.06946102219156,34.60874411468354,39.05449628678318,38.12205059632515,33.99177862645923,37.8879396347329,40.28239219086533,37.772793138350174,37.45185917232306,43.19465929894853,42.97511676537216,38.89625761279521,41.40449817093972,46.0238349499595,44.69903567222516,41.70960864960601,37.518847604268394,42.187914205857474,38.674655408462975,37.80273681203684,32.965159115920216,31.05179862168079,26.198837303647995,28.552933338405442,30.438835474049707,34.23176556460862,33.642695202601594,33.45843240119163,29.243678173956106,31.155473840875274,27.44075624555347,24.441584249803938,23.89940523821414,23.176451523379423,20.5758540540481,20.053881597804033,19.609117687671667,16.357381792817876,15.045523122820327,15.821233394623029,14.230224522916545,10.997986824440288,10.37585434159223,11.242010599904608,13.09980621732191],[20.264463520732363,19.61845950125512,19.3589552083274,18.746024229015436,20.069809158283668,13.447318061041921,13.79766653369387,11.958691732303539,9.774429405809444,13.79486232076132,13.297057936835978,12.623108858889593,17.158816929718792,17.108283310592693,19.57561436769799,20.961550065426177,22.995674041509,27.155540969119976,31.499169247375274,33.240213185294,37.13073802744931,40.3294662582198,42.44836069903506,43.03262946603516,39.88307685275586,35.87109044960132,33.29278811758588,29.070870121895783,27.376527899043424,24.79691932875031,25.975684301285995,24.058389430638716,25.728948140513015,30.340277081584553,29.636196034173135,30.06656663040962,28.658958494347676,32.255575317401195,33.36943796854787,38.91742610432153,38.644454090961695,37.788581026387234,41.67193901740722,42.36664688684016,45.71356135764642,46.58396077056011,50.13768577772077,47.15733655054458,44.308057382907116,49.58477551289698,49.83275608029608,49.6219942347394,49.89375119951578,45.60399656473815,44.87334882929468,49.157493834149385,48.81976465314619,43.936722368600606,46.25536907964352,50.657768694708096,46.42551034189141,45.900647425912815,42.658235849622194,45.12110121023841,43.85715368341237,39.87369610729451,37.50592951757429,33.140593067707876,31.957748875229434,28.06815555359926,28.848882045559233,30.72212796142783,30.802727275366784,35.031076127173506,32.468487310864475,37.615374077685416,37.47093296287707,38.42471308323631,38.306905363480375,40.63040070122219,37.97953760065662,39.10509831213322,35.514476699370874,37.64819126977226,36.54251671777005,33.71894683329019,35.60077437995523,33.82214600542122,34.409715094274986,34.61662268590312,32.81993139087902,34.87185557515199,30.81920779801085,27.591291992329733,23.542046626137928,22.654039161016332,19.245826799776008,20.367277714802835,17.471302888930655,16.680650738376915,21.511804399809776,20.891793333324923,24.97589357543526,24.079889577647315,29.409049830522374,25.994250996527388,28.68909304722963,29.84026217026975,26.457801384257344,24.080101134174438,20.74574542839155,21.509380257959307,17.53978290589108,20.893627114249735,20.06118883203994,23.107909862280437,25.310531195453294,29.702860862873937,31.221173425239844,27.1019202561522,25.462954207575752,22.044640640324946,23.401250123239993,20.575376569271494,17.603555756593508,21.512393899914628,19.542034096135197,22.882560474978,25.28484149285275,28.473283585285085,30.946271438877776,33.79963565192838,35.68328659517158,33.7581185070965,32.89730838351074,29.06889133551431,30.581924590054943,29.05709176600391,28.835032114559123,28.673435519904203,31.32110921198372,35.130957843988945,32.750932096461526,29.82360255601756,31.872533558608993,28.24241199119306,25.983716267371634,22.73397519555314,21.469353311562603,16.9692628890954,16.700875209795363,12.457277788366484,15.100619886094155,11.06430744664034,12.496440969635499,15.75339786115038,16.357866501038476,18.55395578373721,20.74283139923896,22.942154926501004,26.29758556699413,28.103716342430868,29.856128903283764,33.12592369474414,35.89292955613857,36.21135871383478,38.125807941933004,41.61989634247367,39.60960255366542,36.33907297644463,34.799272662614406,31.946615275826357,32.96760727274759,31.80908340778623,30.880983359970898,29.709194495777297,27.23915371414117,31.43873753141456,33.4629306596862,34.17897825776397,35.22156189008015,30.878418656994015,36.46636500214111,39.87979842246559,38.064829148062614,40.48281033613022,39.29125208213498,44.459796737633596,45.140562519901515,45.81520429986042,45.79563256946508,43.15223360263513,42.81371413169161,40.36820712779101,40.008426853238355,40.36909335915919,36.30598527661522,36.04311541284406,33.83605404306219,30.296836504202716,32.317393415707606,28.58727889809377,26.273471960817798,29.138968586030355,29.281128384312545,24.468431380066352,25.86122955634704,28.27765204202534,26.179417291575632,22.390183300742546,25.18506345589892,26.195155136503402,21.660451116789872,22.367370134578643,26.66395031429672,28.088166978700272,30.61403824884412,34.588822534456575,32.806990311474436,34.20450455964369,38.81058438272092,40.312408851170424,43.111655610816086,42.51594802159484,40.7290332904486,41.993079319007194,38.881522440157546,43.85250995603557,44.13835223415212,38.921037225217816,40.938763085547905,45.72059122770337,42.95824889390685,40.4584755518338,43.72589719579078,45.527789887472615,41.71071789738832,40.14507907046668,36.28519330618677,35.68026744909575,37.70011050685093,35.48232437824643,35.227815511663614,35.90386369638405,32.40309430765728,31.160904783959268,31.5867767753188,29.351462740078023,26.06952619149013,26.845343938224655,26.357226902994306,23.245378083683914,23.127962610191563,27.491186266745217,25.780807924874317,21.896257234319872,26.153486569054508,29.606292049700002,30.489638128528956,32.72542542059221,31.96196192966023,36.43386781322659,35.84332623753867,31.63605826121383,35.269796781022244,37.92021408112554,35.56688820781891,34.99008639148955,40.72275403938436,40.84601032958313,36.75949849351184,38.9900897794819,43.73663695283891,42.70314423034113,39.743330225302884,35.69284829454804,40.55544047084859,37.275843075887195,36.43750772709461,31.649315449711352,29.35214369814963,24.58242610434668,27.282626565481905,28.846375088789966,32.58871819777417,31.696865096226325,31.18516249548943,26.75921163742154,28.335869342578864,24.60102356583211,21.697640649234497,20.781834592768476,20.12181803663034,17.21924411931319,17.06488055389025,16.993158961697063,13.48358206442408,11.990509326243073,13.726023453472708,12.210454007640458,9.097329579515568,7.858578388891942,9.03518181957535,11.107342087231862],[19.838060093542115,18.674881366989904,17.98432722842721,16.510208490039233,17.55397152387724,11.041319111090276,10.743328200765308,9.398824656627488,6.423329925699502,10.380772302994783,10.35992770526241,10.470720939185155,14.252504507711315,13.925519528228682,16.940766233083306,18.36784831771953,19.90888949512894,24.210250868854665,28.355628331541347,30.20191768038974,34.05136200642743,37.2772909358903,39.295695951667746,39.730426650894906,36.595277550705845,32.551657024560996,30.013809660945846,25.77102773961524,24.360765513934606,22.0970092975859,23.654900023374662,21.994387547678848,24.142873439312044,28.590249171427693,27.54517673089737,27.548321586659394,26.24938285159876,29.366803999154545,30.33464978067173,36.03317935016917,35.43233434409145,34.67117253145546,38.67038159008159,39.32715325503039,42.55217964484886,43.397579212045194,47.01320162360028,44.151468569082084,41.287056434497366,46.626477789429146,47.0268689891352,46.96912143540585,47.32327362530911,42.85075603683381,42.42546195315713,46.70817603975866,46.13642683530784,41.32031708088446,43.872113606682895,48.11757500439471,43.703859919262044,43.31571980963955,40.21818800453664,42.475295758148434,41.03535094107938,37.133749691247026,34.655532134212926,30.406188975229,29.049261112858,25.3453531912236,25.980356379999066,28.065017563399866,28.31884389012589,32.42565783599218,30.044654211197937,35.457986963842465,35.08644698839043,36.38824769992241,36.08410179682291,38.242501172417796,35.696937180149014,36.614422686093164,33.2674296996878,35.22642219341604,33.806346581497046,31.0922583389681,32.913548393001605,31.544809810304173,31.91777331268887,32.64515337805188,30.705911683900137,33.00327799693335,29.024706656559,25.978744264241936,21.64150408033889,21.114434280801436,17.33240189308683,18.820251796963056,15.935440505858956,16.117072795275966,20.040388164604032,19.67753726459816,23.15484024115875,22.3614849119844,27.43917371672412,23.93600050490786,26.93969286563919,27.820074655662324,24.470209855410715,22.26765802059842,18.618685840153894,18.848199149983337,14.580076980090467,17.60402499282817,16.623892344930564,19.54431608709804,21.823518534093765,26.141069106990674,27.795916028902937,23.813383601914378,22.06047042857124,18.58696636459972,19.783838982827728,16.94230550277725,14.031405889553362,18.134718908571077,16.751477302055502,20.015548709015945,22.710236160429986,25.979470537532453,28.429546879311705,31.524041699913457,33.0894883879336,31.323045414160777,30.071458015739907,26.0654230945625,27.621870654402912,25.783545443180763,25.381510860061624,25.20612769105155,27.723443627431887,31.54805115449277,29.218602947916782,26.321447248334547,28.524873547737663,25.011918113305104,22.655436395812924,19.633912825531194,18.61324517497893,14.167034092777753,14.611843348276757,10.821015344303866,14.578657113618773,11.844559070223134,12.4434455852078,14.885540704991644,14.57412559073399,16.792846400490603,18.452047256925972,20.576785081937427,23.42402251097923,25.161641164075935,26.5871399835714,30.021773608742375,32.68135021245048,32.83651920895771,34.94521670275632,38.36668601325221,36.4620324628063,33.07258488482996,31.6525372125839,28.691912052841555,29.900991726446975,28.927733680914493,28.159865857480007,27.34572029215195,24.82914213060084,29.38302750105997,30.980977762261134,31.853706288269837,32.5014880339151,28.39865013639916,33.93831573274308,37.25398641358538,35.24076429813934,37.565878677671634,36.26398330439549,41.44787529861905,41.89746164844876,42.7230272607269,42.71383332199337,40.188145571965194,39.88779810861564,37.53091195689323,37.345085789831856,37.86326592323157,33.7771388201512,33.839288308210115,31.811498003819494,28.403189056203143,30.874749904613452,27.35095588429009,24.67665934854754,27.679532310651066,28.3342565691584,23.49970025622285,24.455039571248243,27.378205564790857,25.8911084745252,21.769679606608893,24.591785667943967,26.12005804083896,21.772381346928945,22.050372544115213,26.593240362129325,27.579713353527264,30.63935040659511,33.824943633035225,32.13223914397121,33.931360152963606,38.427460956801475,40.365672133784614,42.80916579834281,42.31223569875413,40.256224105144376,41.48493141943209,38.1898076265674,43.01988607142355,43.332776190495636,37.82623562028896,39.74654933393337,44.47171116336048,41.58291651232086,38.89198159419277,42.00444499678199,43.80962404404313,39.97148354032776,38.054822945572425,34.51797882879823,33.94230069738003,36.24704729605447,34.434205114372624,34.34305737889457,35.500941969350244,31.78810335938376,30.255973844734175,31.31636625681658,29.271508011832164,25.53834890876813,26.46009822696283,26.61323803897011,23.646972082337758,23.180168246088382,27.877568865784067,26.638412192093142,22.695891865683542,26.671048809092508,30.290906722670716,30.742598971767908,32.87825822551628,31.75500578480297,36.18914155482469,35.75736012075851,31.158718074959424,34.583479741722726,37.31788173366813,34.90612359541621,33.87533355372208,39.73223681487878,39.91932878063644,35.525600844873296,37.521692088139325,42.465443017616366,41.4497719156194,38.297568267888714,34.1671218138749,39.03898014134066,35.70891241347593,35.312221851299704,30.338892231517946,28.11257056550556,23.346610959282906,25.75859863230129,27.071734599344698,30.721128600753705,29.615485820788948,29.35547007259386,24.661791187285075,26.21695877741089,22.1657680710459,19.97461989685019,19.38631468950152,19.402533905774416,16.25720674139169,15.474404840542888,16.37447184010011,13.326205631841633,10.448375235952286,12.764105303053604,12.562630987326822,10.367295991686065,9.059136508309905,10.826581889397032,13.130574923050629],[16.22311739278844,14.736831916109725,13.58915554022048,13.008735469995212,13.709367085845622,7.139178968696942,8.056850905084545,7.165543519985712,6.6563369863498085,11.389537751767687,12.688525857091406,12.577618934563072,15.353282355830602,15.83935253222923,19.293444354130823,20.109042102814417,21.091447511082272,25.732933331572806,29.77731506539204,31.250711473975706,35.239333135545,38.14900503313707,40.30725362665928,40.482252278839084,37.11075678846271,33.278847286963334,30.384530526945493,26.211540786038324,25.177049695548302,22.91151934067884,25.71170379564954,23.353268266279795,26.033970755968287,30.51915643868944,28.890001396429934,28.75725527191271,26.80797523911029,29.700662290104503,30.18547003761577,35.57387677676393,35.06677321010129,35.010737126362805,38.99405104487355,39.15810364985979,42.257075036126736,42.6618220825748,46.430335223336805,43.831309314359096,40.53093057046594,45.66108599014505,46.434009805696945,46.18127929045425,46.88071486350796,42.63086150773475,42.26004350252546,46.76824402536468,46.31555652826524,41.70582015260474,44.47192225507058,48.69078163761037,44.46247863954305,44.595290792921645,41.74329634606551,44.124634257454744,42.2256269784981,38.32996476933742,36.31850632524738,32.21954514297343,31.105871309295754,27.784133215386635,28.43422209538916,30.935802728594727,31.155859432432404,34.919420759088865,32.41212939681213,37.90812749955533,36.90072820818497,38.313816868355474,37.497558179196105,39.215281869055815,36.259360260734844,36.60590440696799,32.95597690877893,34.4294169888104,32.98817764402247,30.845460132916436,33.26656166903398,32.09545683970575,33.06261305710025,34.274440175581134,32.74620611801417,35.55461653484212,31.710314474238274,28.62836814252731,24.213897099951733,24.30586854136894,20.462934692077184,21.14499497581056,17.817241301950336,17.46618672311296,20.871093650652377,19.184740991647672,22.792502572083958,20.83458471023824,25.427372481704705,21.363742636241962,23.832325298743243,24.413450503108812,20.716717758876204,18.895304904057486,15.01213912295973,16.222747796213223,12.50195631155135,16.050938703400313,16.474259418637203,19.199488066195155,22.109324091028594,26.440318738789248,28.744231773918386,25.057600651281174,23.35526233477925,19.757684943074228,20.115786039916113,16.746826083044457,13.116063543626142,16.171951874509226,13.405127056545245,17.028494575147718,19.350482293585518,22.956602037914458,24.882677326569013,27.945329067073818,29.88907224618774,28.405485162631923,27.209213054220527,23.447622552442475,24.496651287128717,23.362968626551194,23.517265310177383,23.745615386357745,26.8858266788907,30.919148155004816,28.958366803996697,25.788053851908032,28.080333146305374,24.788353036297064,22.13648921789114,19.148626069211904,17.413697457527725,13.09582111438666,12.58718744953873,9.8318984893463,13.409467937207864,11.723013491311862,13.400685688085021,15.058136427872979,14.756389378484284,15.751503442754176,18.151219739967413,18.90644521892985,21.772893045172868,24.441973036434437,25.410859589654272,28.992601799067476,31.116428307890093,31.053373190920453,32.7300290882308,36.11556950350277,33.809515633991914,30.667942145565647,29.109355051787155,26.60268182913568,27.97055612734475,27.186563620331295,26.84151192926064,26.06412968536532,24.309038714798593,28.646992451328924,30.02727232052009,30.445422847091166,30.81033148645067,26.216971573918155,31.52306194487081,34.817309622035786,32.995192749848485,35.93941371730527,35.16101652373138,40.10314159712809,40.55872169802297,40.9690640276908,40.64145469559203,37.93949463108162,37.23654731571838,34.61697300534102,34.12678741404805,34.29720833188729,30.109307595927827,29.883877638664774,27.585845507824843,24.226335477726764,26.411813758303797,22.955856377392735,20.28347618117169,23.086335607980573,23.676835994314175,18.825777210654174,19.841332422779967,22.667787092933608,21.246262642498433,17.108434644647613,20.02547898609521,21.614199012944056,17.378823560725284,17.825825005766195,22.388541903235208,23.21421586813337,26.26448819438375,29.349177941949907,27.50406804927445,29.320945038049114,33.75244911378281,35.79414121228757,38.13743337776844,37.687871027162785,35.623572001480674,36.950875833365075,33.75390727702443,38.586532008402656,38.74462596201373,33.24325502038004,35.32107664600224,39.96932294702415,37.02526551977649,34.45036191246285,37.703372328412904,39.372325426972225,35.50836938406491,33.89134790794208,30.111649771081343,29.797930618400105,32.01189195025246,30.061224404692492,30.23305513912513,31.446906368935267,27.958594621708446,26.078057648993923,27.07983872659056,25.388947976582482,21.472959954693223,22.044922756091157,22.464889352018172,19.60438589370349,18.741189255090635,23.557157564210478,22.620324315396275,18.60878008840315,22.342511535617827,26.038480631558453,26.258246265937725,28.395337707738985,27.239557410565336,31.64515525465166,31.152522286365652,26.46693484094756,29.92482100208048,32.61155656628968,30.1930012407401,29.18827618657141,35.03856549728972,35.227162331502626,30.89287381255289,32.92636414199378,37.82145221507991,36.85913954634414,33.788602871390204,29.760007168847945,34.72393847441197,31.58671005541908,31.012789823290912,26.176207831661785,23.673142544367956,18.993520555905594,21.79083007916997,22.9778736424307,26.632468222764896,25.506664006501317,24.947120249521607,20.385861518194687,22.02443559320449,18.285373786424376,15.471896518566671,15.044119618016223,15.022751023959044,12.386277150393193,11.031369770140339,11.706906983582616,9.05488188041081,6.036080547178417,8.206001968460884,8.48379423427697,7.456612571232514,6.632128040471,9.352878067851806,11.603939500133173],[16.04879813207904,14.09535606968908,12.740879544333888,10.643979881055214,11.478298557588396,5.077150290414508,5.474649709775016,6.649487750461888,5.398277154069466,9.414501257637035,11.553484516288352,12.580431004620921,14.07786244210011,13.944832326211035,18.075168049333314,19.017266972537627,19.208367725020228,23.914978906863738,27.517576477767918,29.235457378468677,33.06890423893829,36.05025868822814,37.98113691372746,37.904935940374294,34.63056493125396,30.740592031969218,28.005428041293552,23.84571229139748,23.34035712443007,21.646151744360427,24.754432652190157,22.90648659288306,26.007765743563414,30.19715320880422,28.27208916883966,27.583681413117212,25.885083144850864,28.02655043898824,28.27673760286542,33.86087778575765,32.797335704223634,32.88826118600196,37.03582585856264,37.16329619041617,40.04025442703792,40.39802033911361,44.26225588132947,41.87085617414797,38.56061572734911,43.76581058135873,44.778328461145314,44.75070187494537,45.56188034646265,41.05549032240566,41.125193763616295,45.593035170958714,44.80707894905742,40.3046337632768,43.35711373798259,47.336153882555294,42.853466908751756,43.108777510081396,40.447615433156756,42.47910566507487,40.41729350207939,36.687373911241345,34.43122098282871,30.5517761212914,29.087148953683492,26.052191994555187,26.392446300148695,29.000870270643077,29.57822162665803,33.204176219517166,31.07504479389789,36.832357713897665,35.682157293984226,37.51935565035515,36.56319846442785,38.10213852103583,35.36342241334551,35.46007068071173,32.18988335860766,33.4089222975997,31.521072180090595,29.57445432267407,31.855442020712385,31.261479527789515,31.860391224741456,33.67203700306663,31.91077920747367,34.864136900951344,31.14290832096982,28.353790226319393,23.738575251000864,24.0861073742645,19.977696945861577,21.239762476899674,18.144644540020042,18.8213197802737,21.251910526296143,19.97242562969224,22.760135402811173,20.94987846317881,25.06469827671141,20.86970759625155,23.61392370786717,23.699324822944412,19.971687594423006,18.622573990361154,14.238617900701724,14.802774772181255,10.726467008917188,13.58791122540132,13.978881130592155,16.245715959217716,19.37951833407316,23.378239360913486,25.96637136232741,22.630999192518253,20.656182414497707,17.055407720184178,16.888330367047384,13.508908410659847,9.881017479943079,13.16708216459112,11.228706740831543,14.953187381882747,17.72171161587676,21.605064734896942,23.21894926299607,26.70641962551501,28.23887639911578,27.142991118015598,25.26080583264312,21.22888659910764,22.042994427333625,20.477491387132975,20.335318359899837,20.787078014526774,23.62940622285582,27.780765218818985,26.02519782856384,22.940865008736,25.59521647061705,22.59125846247755,19.752107551800364,17.29083937806423,15.95865242264,11.930430333811035,12.479169732618328,10.731810915695013,15.184871001640538,14.5244467948348,15.41783109574856,16.36210515737222,15.09437559701543,16.03430375186565,17.65314200081549,18.160019089200024,20.118868389644646,22.748401594912593,23.029997842753023,26.932432077696525,28.75717059222088,28.25768918874493,30.260824663795223,33.45204814440618,31.20760839313657,27.86686940447987,26.57389667040293,24.00172125815062,25.838593703667925,25.44498740596647,25.43049781833946,25.210363516508526,23.45791589855747,28.1956024749961,28.96594664652273,29.575985146965454,29.316431040997497,25.0756706128562,30.211381350894726,33.32456202511794,31.2194777241026,34.09850970588993,33.18957689122599,38.11280835952041,38.143947168827744,38.78446463839492,38.41435484172209,35.88918649148054,35.14736218613754,32.60573183951073,32.31978014119223,32.60446412755224,28.300768053437434,28.522603517804125,26.333088361559927,23.318711705815474,25.970674421033653,22.939940217277936,19.77669820227269,22.467615471918975,23.758258117292485,18.979684196864056,19.07572643530813,22.53832577271429,22.033763914205437,17.37709124103798,20.07382158705425,22.28287170776283,18.396022210883586,18.031465951630977,22.743317362600497,23.093284216904063,26.79111524699549,28.902961234232688,27.361907405541615,29.656653326529966,34.01188983449649,36.509150115096965,38.541267719501015,38.34796133576234,36.08304536976082,37.47840909542809,34.20372408443666,38.83179670441873,38.88468933429729,33.084235194425894,35.16386666890802,39.62832531211047,36.44909701473251,33.739731281149446,36.85591896858808,38.35047691963775,34.40383501580835,32.53030364118089,29.1206860844715,29.10971007886974,31.66598072566908,30.185692568043194,30.68998619776919,32.42500734948872,28.852761390573196,26.54696676538698,28.17530715918239,26.845993671994822,22.51540386864857,23.032524707292904,24.152297626720095,21.53304896642499,20.157596195946056,25.154964286893367,24.700770306498224,20.628642603707974,23.863185895393553,27.689396475937837,27.454272952179778,29.592849848085645,28.187184672712455,32.46393429864805,31.972864541622855,26.89931871727474,30.201212119537594,32.80916637044341,30.24961768578243,28.820766052311342,34.785467114803424,34.85596095105189,30.163106719562425,32.04515332696828,37.090569404767024,35.99349782164095,32.67644884027077,28.487210070446675,33.3468282818239,30.04055575547428,30.018644926152703,24.945332574699762,22.752564886469596,18.09023241763292,20.280129257548243,21.27964318115843,24.8292047441944,23.58624750924179,23.554526222137067,18.795974257490055,20.650692900069895,16.547358954627757,14.686524168555536,15.083220217527959,15.947732540844838,13.425503493783852,10.875245641425208,12.635541358164176,11.07360894351639,6.665943487327369,8.53699895803645,10.643667366832718,10.567956200008258,10.02499659573293,12.72277159319317,14.918652834315004],[17.38760901045832,15.010586067651637,13.361296259253562,9.599511537869882,10.130157229768763,5.564235998821436,4.332658443519254,7.707011366988322,6.0820633462442,8.011058956631251,11.034497967945429,13.186506413074163,13.033198206477248,12.219795385023623,16.94127194207099,17.934132059922703,17.149234904428976,21.81806087030325,24.8485004862374,26.79469788579019,30.4190409074238,33.44086865381713,35.11645764594606,34.766526877338144,31.607562871654793,27.690064082332757,25.15071186130284,21.065654253646496,21.20064339556377,20.223248861861816,23.651973344347276,22.395529086967585,25.900453224802888,29.677306323136733,27.435491309863973,26.130116595425417,24.740082361018256,25.977869407714607,25.959047286387896,31.706625118471777,30.027012242388015,30.271613897412887,34.56541302836893,34.656341988533015,37.275233822252375,37.59768964537471,41.53961241005865,39.37481950310931,36.093223789702286,41.36149360724949,42.60873650071488,42.83641941531896,43.74990326483954,38.98438703119041,39.54078633583425,43.92613982224532,42.77711440222743,38.425093576973374,41.76893857738599,45.45767361530438,40.72633794290229,41.126600861722984,38.70377064462275,40.34645668113421,38.10159401669977,34.58315046182257,32.10482300940418,28.523271825051385,26.716773916453402,24.092199579167218,24.09571938016038,26.845818410144794,27.773107451251825,31.15343566917285,29.44868875819104,35.42419732334743,34.08425174578194,36.37339409573014,35.25121440393953,36.56412556630777,34.09391765171782,33.91452932222399,31.1222787185607,32.05561725459608,29.687758229982695,27.97054793754234,30.051379057298707,30.118106765951946,30.301701116831808,32.772853717412325,30.799806862618155,33.90755375358953,30.38845797132142,27.969867845862257,23.24171330489202,23.921410230822186,19.66311582651662,21.431475079205757,18.69173622810746,20.39170491724697,21.69811938122916,20.910649369875625,22.712760220083357,21.178658487536026,24.685705561613087,20.52517931356995,23.570175905492416,23.159912686632456,19.59612743502765,18.735771763820125,14.09791380187346,13.683966286765383,9.443964454207169,11.060065241286217,11.322184016482321,12.892310979710608,16.246580770278584,19.809495483344495,22.714508669588422,19.843312232993874,17.607073168560735,14.083509604946125,13.217257946893836,9.854272029721104,6.354905268311355,9.974156045689098,9.644223000537826,13.096099539080539,16.3475311018017,20.335548779185658,21.67990971555715,25.560272162163457,26.52770257122645,25.826175683590222,23.20027375654191,18.898002499042516,19.55891355036816,17.36962262529671,16.78901227012956,17.42039220140335,19.85897052676011,24.105329617523285,22.567054945112403,19.614252045102013,22.65550285861598,20.033419281594373,17.03677913337009,15.312426547125607,14.578207889533685,11.213896066455142,12.985835167328696,12.375574441685421,17.336718478703233,17.63173601665479,17.77479910113182,17.972833869930845,15.787725147171829,16.63699590043814,17.28087329750272,17.544269275473678,18.356104508394814,20.803852481881673,20.288071985124887,24.49424728620072,25.997098148350176,25.044662389560337,27.44548384368595,30.413746768182943,28.326422764558174,24.756462264897426,23.783364184507477,21.089830584248872,23.414672777512873,23.45829294097614,23.791259232469102,24.214320390194743,22.471236460074326,27.56355803227492,27.63975574500114,28.486753124664723,27.54476347380667,23.833847560118897,28.712672572191206,31.586357838553166,29.165282264814575,31.871985638483054,30.783731434861444,35.66309004669422,35.23152438724915,36.15773169718789,35.78485115126407,33.48759312275937,32.772070154483046,30.387126919225782,30.388798741884298,30.880396831873238,26.549550789605792,27.325982383230077,25.404938860631898,22.795707381328462,25.995738764567417,23.457177606128365,19.884986847076274,22.502535110502155,24.515646692650442,19.98220428055481,19.221736117973997,23.262899330694424,23.66470445072522,18.77910645787747,21.212315614925817,23.967650530457558,20.546605976130262,19.5319209096549,24.230580148620152,24.04369791273016,28.294491767105875,29.315220076652906,28.05882221629457,30.81071036639145,34.96328494325792,37.918846584042065,39.542874416801745,39.54856887161035,37.04452329588821,38.42418069437199,35.04098524825897,39.38993999359119,39.41172117367117,33.34956157753344,35.31782274256804,39.576930416405226,36.22395524304086,33.33983100647236,36.209068681714484,37.58947390683568,33.633546632059925,31.35839570331108,28.495149279661042,28.677003848252877,31.587577066909034,30.69155464433135,31.45843716592922,33.73291321662783,30.05388969832695,27.42291228997573,29.73692751545872,28.713176012810912,24.06261149775652,24.645944027315377,26.424885071628523,24.081327501660496,22.36748725886467,27.44240175725214,27.455335074128495,23.470391019630743,26.232619285571467,30.09368377726355,29.41786057095924,31.442721629929512,29.731879853374934,33.820388406276805,33.44298444972701,28.055585648885867,31.04715698357386,33.612502872402935,30.994834656253918,29.054720268415778,35.04335490503397,35.08767302181043,30.066089135754506,31.651842882756977,36.84059902889379,35.68977601297318,32.14108170336785,27.87658032768005,32.57293161106674,29.17613342110303,29.821992550117127,24.605031407945614,22.748526891657118,18.326113413133637,19.773273115295243,20.409545325894705,23.69613215591994,22.23620600542824,22.770026008746953,17.843710424485558,19.743562426910707,15.287856119540793,14.86173332649176,15.967356167910639,17.696966720065745,15.26530118610534,11.969680229580087,14.769455536150804,14.068303937637042,9.069327080952707,10.789637923357644,13.986519060773126,14.46077319795749,13.954992472909863,16.585434585401583,18.73066327286824],[13.20610365703493,10.865853789331483,10.244544928374353,5.348274726651698,8.891975464383334,5.7919596252772045,7.848804987069346,11.839387245766266,11.100218245352202,13.252031381539211,16.20720285904895,18.374472508058794,18.275671271575167,17.172427898485953,22.060678496322087,23.142412915984814,21.96930202626174,26.546951337217944,29.05785620372456,31.172960286559995,34.578349067589606,37.55386437820536,38.97227269279702,38.23039464550236,35.214014071329984,31.380180389680337,29.01701062001858,25.129987458388083,25.840652423190456,25.201290804953363,28.817888620471514,27.631981922740547,31.198582969162143,34.94462725345605,32.59254177172825,31.103509918910905,29.6534363982076,30.430853546865027,30.022565538237867,35.59017220391292,33.51121814851578,34.25404765731286,38.6026572322633,38.41638546832523,40.69352295409976,40.661550421821396,44.74724954128505,42.99423319339931,39.47157619936869,44.55936549984615,46.25642764583379,46.498506061954195,47.70252713490788,42.95686148012414,43.796585544648956,48.24085380396764,46.96814325853093,42.826956889063126,46.375261311011194,49.8878595907217,45.110553246403015,45.73248943640373,43.50163677109109,44.89642102595892,42.48041454583793,39.144627064924585,36.55653584363124,33.22548171158698,31.096840367559153,28.71987944142184,28.361250608824943,30.956198808899888,32.3414071844905,35.67540433907723,34.33066381221667,40.39268930103294,39.00535002079911,41.47774050999638,40.24427328898491,41.359891992590036,38.87284508411314,38.342769412969574,35.580368546836546,36.10511466409996,33.54711028257868,32.32867810320169,34.57747228187139,34.96642628418193,35.18149066938865,37.93320192882954,35.93730665839482,39.052916982717015,35.572036114931024,33.23036266000888,28.492715433421186,29.069273849819833,24.776226069750702,26.722896140494424,23.929472385146223,25.26320172196564,26.79186525520146,25.450351052729978,27.394445456630056,25.185680619304673,28.143364043319046,23.526499924340452,25.866404259208615,24.822160993247238,20.77301981448737,20.859731107319565,15.925988081926313,16.615023652320478,13.25567820382364,14.564570502785847,15.720690869471836,16.37824747753608,20.05717084461912,22.760154292106492,26.215797864883765,24.013185316777253,21.449876699614524,18.14493992406005,16.219762102127582,13.170391243046094,10.06370703861304,12.184560377258094,10.902277179379068,14.85185495384455,17.682801450806164,22.294299974441294,22.268317811060594,26.43700427835224,27.656096691300913,27.792171542248887,24.669588054144924,20.612829139820448,19.793499054874662,18.208624949866365,17.837711453643376,19.553901699181097,21.711170156806748,26.21345966819432,25.435786910674437,22.627678043103767,26.097923876408593,24.040113363719776,20.862404453610722,19.7158143546387,18.792729167402857,15.839150967262794,16.939699019302008,16.727747411805048,21.21713077158031,21.18127324518187,22.159120366067015,22.594647969106845,20.721617845366826,21.06099099412572,22.095808730110814,21.47143229082727,21.851460179814527,24.875795077422893,23.434221432326808,27.906421650107767,28.538346873126805,26.689781515080313,28.999037989515056,31.47710156735625,28.898744384430923,25.457308942040402,24.848119195015183,22.865462895101494,25.938452761879407,26.556503283341172,27.481117927626972,28.168128517771365,26.974498011108494,31.914530503391617,31.662856226274172,32.22310150877038,30.734361260831882,26.865352749620218,31.219689664123322,33.85770622235781,31.487497217354246,34.7352302783462,34.02255320135234,38.562378484948574,37.65725588598134,38.43411063206435,37.650622413201,35.39207856043016,34.09864049346595,31.45507890640909,31.183603266455645,31.10005098551214,26.446110142512648,27.122556073345663,24.551654203902828,22.655876861827387,25.25687551019779,23.315537433127858,19.585735258768945,21.003989595676092,23.24890024949539,18.86530721094838,16.757461001924046,20.887655368798065,22.05837999905232,16.390199582917546,18.112723040227067,21.1823841344363,18.108374128143158,15.971427079290537,20.539454581929746,20.2341897528211,24.916725131139568,25.503089515444323,24.86654488817353,27.8353236494818,32.22919126582977,35.28616499649605,37.132006713089474,37.72385847964215,35.51225935467098,37.396223256369275,34.492848222922014,38.76090210984938,38.15897916763276,32.12591459909768,34.67946680058657,38.48813597089648,34.72378026992371,32.25235445940792,35.42620284519706,36.02502329823719,31.80722835072386,30.42283273889302,27.26687110436726,28.656204813546363,31.4939042275946,30.42217645095681,31.90302321996472,34.16275336095078,31.085701922973364,27.82858175119903,29.767309054936927,29.464683414986027,24.79931303355269,24.380181498059383,26.34808975429494,24.181648334538128,21.634342110906786,26.49821131348729,26.713271543123767,22.39179907401368,24.465331313811568,28.437389265386138,27.538174276687798,30.04028868613746,28.764846530938765,32.66136833500469,31.59127396983719,26.129936362668012,29.56351322836681,31.50534910307929,28.530825645389545,26.96125981931864,32.95076474794132,32.26169052010551,27.172718464076535,29.312481335529448,34.21455730418873,32.485123354772576,28.855835588139907,24.327847143208615,28.71909176920759,24.963348713562183,25.631301200046725,20.256015650618156,19.045433123580892,14.528248223905704,15.263782949378037,16.394270190655597,19.821146861931325,19.0011575610428,20.206081175796175,16.026850082161182,18.9745271708194,15.18760285261336,14.010979338602947,16.467380900513994,18.096806799745067,16.997992905251497,12.478847994434808,14.176389093913883,14.741592733060346,10.658531058586455,9.358071396998737,13.398825836830714,14.75015875069015,15.331006991016947,18.103909775624377,20.07422183902978],[17.69485601880003,15.217548437713008,14.359652467341213,8.320907864754302,10.647160330676293,10.551897196155757,10.676780043120177,15.200478469390987,14.017070169018503,14.115312298364085,17.351276955365314,20.45607534133508,18.78774896806502,16.84306750513951,21.940784731962523,23.107149997572876,20.77403037014436,24.899907990625422,26.33872834986099,28.81501865741551,31.71071134431398,34.71434391234816,35.62619579056107,34.4410404960227,31.765584253770452,27.983970362377093,26.142859273611517,22.61206885151674,24.283441586411826,24.713999055143343,28.393428825367707,28.1140075291393,31.974450256279898,35.08947537250854,32.47605062150149,30.223611109159275,29.34134703895306,28.825636758286144,28.068191524343817,33.70990164206515,30.673222301839598,31.580863074319822,36.03925945763106,35.854347451015215,37.648177874627955,37.59195330602866,41.712200124930675,40.35271031367725,37.00280600889508,42.09381724216897,44.10508202569111,44.76084080633146,46.06352991578172,40.992667229888006,42.54183393548112,46.754447296646454,44.938566749490185,41.08433717250122,44.96865230241888,47.988222290923524,42.88941651140748,43.6476334207002,41.786908595291884,42.533317777431584,39.95121320477033,37.03259421862709,34.08454309897986,31.31636848651865,28.663500519837022,26.978450030043838,26.070425823266728,28.660720374432287,30.594615516826266,33.504113508268,32.89192537939436,39.08668957856883,37.566039489963195,40.61344421807283,39.25045025198071,40.07748595697411,38.09000393564966,37.24910948599687,35.26964503567713,35.43515796572604,32.26017620566975,31.36704693668146,33.174459226847496,34.46595459577145,34.01243365003339,37.53840969110749,35.2442479645985,38.40835610179081,35.27261494887707,33.49332316285314,28.790034420821165,29.665533089957215,25.384856948118713,27.949355609590587,25.70617802961684,28.120721280916033,28.48135820680017,27.872286891436342,28.649381801901924,26.98190221622973,29.166580997009717,24.85969711442343,27.522917564991065,25.9291531370498,22.35594680617977,22.983692154426993,18.160951384742212,17.54569851290176,14.486129412275808,13.860763611542252,14.595652602703193,13.77295607659734,17.339646820443708,18.775048117945655,22.609554365705716,21.419095257492224,18.529647612564602,15.794641518322722,12.655503407690217,10.50685800720264,9.060341591887019,10.566503083954538,12.12170184231528,14.953986812248253,18.130851523740144,22.51224366570309,22.049398391097995,26.611475199602797,26.890708383099184,27.635271347300986,23.48716383838441,19.261619295509437,18.060799364667457,15.434776647390457,14.150973238423468,16.350343590024387,17.32183250226499,21.815303071337595,21.61035452564486,19.308851173424692,23.307687483479437,22.056410633548747,18.911733652503305,19.053690244883335,19.079192091528565,17.20629514663667,19.488036067890086,20.097111126789617,24.99603323695823,25.722928138584567,25.86737478435475,25.670139513510296,22.965527871794702,23.352355501118492,23.21568627251675,22.50025602880809,21.353271548792375,23.83449276507895,21.214107806436303,25.92542539622399,25.972304812631595,23.287995631918594,26.275599890324045,28.208904055023183,25.97485400370833,22.212437652868232,22.315475118954353,20.28703411134725,24.103273902134177,25.404070297498723,26.777928784304837,28.319192128519852,27.11468388984873,32.343107393459576,31.191086388468463,32.1034537309468,29.71257528398908,26.81992360863127,30.630943896259303,32.814341845334546,30.01655375833558,32.85190648340349,31.84010553606471,36.18831580639332,34.4984768616764,35.77272767049028,35.00307806600568,33.209757824664386,31.991395620951824,29.693643309161722,29.91047958407339,30.154658810165362,25.61314797851161,27.172298453444217,25.125384810171173,23.950646802675546,27.209342283504657,25.984592166800997,21.945725293893695,23.20393552123869,26.29189513450648,22.437011383396513,19.432418112661278,24.05003898887761,26.23848847655421,20.691382392362115,21.99869895829862,25.533441175598764,23.10814761088938,20.44961184618894,24.68755652226944,23.722032455065698,28.88259777461848,27.954508597005542,27.784643408461616,31.254543557396993,35.24525494751463,38.82671005960572,40.10116602658289,40.939019454242754,38.44815442725075,40.254627644414974,37.24274426385105,41.056063717758555,40.44384482753025,34.18608555096829,36.50227947227848,39.94220415546051,36.008442441524316,33.34352006513504,36.062823253384245,36.455146311348955,32.32168511600835,30.370141818175743,28.181779068388092,29.804583500155978,33.057912691248866,32.82378419079498,34.55911948904259,37.44291675087713,34.23833539047014,30.733145729927386,33.47864750157646,33.446255944680914,28.540671874583662,28.326511775319627,30.934147322894702,29.06474933093588,26.364338557117456,31.20031011049781,31.869810607508974,27.762409703068307,29.38515759120837,33.28588083538751,31.93305685987149,34.2072130445239,32.56890684627143,36.15273242732424,35.285091770320896,29.594484690624373,32.49489954971357,34.33906934661416,31.379888184620555,29.15362293218984,34.98117219860401,34.257719529209375,28.84838657942729,30.4781995675135,35.44081917437185,33.640792436252916,29.749999858561594,25.256924435832573,29.154227174080066,25.322592519055362,27.10169589460663,21.75959633560423,21.25689861123292,17.514279986066768,16.87927041852061,17.333558368137513,20.023558905360915,18.958446220636848,21.16592117958368,17.13252999592477,19.935856484952616,16.02520681388426,16.98145355857251,19.911694413779774,22.342593847287574,21.140714434431043,16.481132772211314,19.15756673959407,20.09900465064915,15.539397059842543,14.985681089177662,19.309245254719205,20.685266133100495,20.974636639293486,23.645853053435747,25.662474875330602],[14.735014074833554,12.7881804703938,13.302860264955344,7.43472893562531,12.09321195363301,11.496640029130923,13.132796833204912,17.48201147690901,16.28094905562744,17.338008127472524,20.274477445562788,23.17415912010046,22.37223417945447,20.347137201226975,25.454962558590935,26.838741580005674,24.892630553508464,29.0760250212707,30.621405183789992,33.225706610177376,36.11097953219705,39.19302838601225,40.04462305902387,38.83007688475418,36.24243063581777,32.426720866424574,30.65602981538158,27.08951670191792,28.60685494342678,28.801925153771524,32.232259108967284,31.841570890098186,35.51890828264698,38.873925177690666,36.44867669821533,34.404353329037704,33.45126230298699,33.24352678458276,32.53910666184775,38.14633048622316,35.17637879695574,36.10553874556155,40.56689723523568,40.36149457828066,42.13362482089697,41.987423075198876,46.13280988773594,44.838018475644766,41.40765922284001,46.431315097262726,48.519296864001035,49.09386594659602,50.45107849276588,45.439532107430985,46.90009240744019,51.1720616748986,49.43041363739217,45.540169648416715,49.37600292128638,52.46909456949743,47.38206203317024,48.063361421516326,46.11362714304207,46.86714831088386,44.389503358456984,41.44415722445744,38.37062288996378,35.509133536130406,32.71952516183934,30.80746077986785,29.826429022855734,32.14346317133819,34.25125918522628,37.41332935816489,36.845649137187564,43.04825375666574,41.76267451220179,44.69955758938552,43.47583420111703,44.429669971041015,42.366179283454834,41.5970026145663,39.409191056720495,39.612184303900385,36.56193478756237,35.66788263215272,37.57356609571173,38.657825082971584,38.29212207875034,41.56885074365246,39.22447826021019,42.22098012904482,38.92810410471087,36.99672999832631,32.25890103313421,32.78648396203533,28.457852704061814,31.15131551329015,28.73809400238914,30.665642954456032,31.77025575388637,30.843709903559894,32.206825375210684,30.20020838034719,32.579472019631254,28.001882838313453,30.259808580733605,28.618812769820007,24.66954546170009,25.47465550821295,20.536664197120906,20.84202382679442,17.832035354140256,17.903777957991288,18.793932930271453,18.25618593017771,21.795970400082563,23.159109823718406,26.921987090085512,25.683809802435857,22.673337370451463,19.883467440177842,16.973564327202727,14.88992194846859,13.095984935279061,14.643695398147132,14.828168137557476,18.199796372925505,21.014883741778174,25.697348191990887,24.709077870818348,29.23171366657792,29.949354983765136,30.910710665572186,26.892076914027424,22.896277028844125,21.05569020544211,19.10823601962049,18.163808012729984,20.667053517888874,21.607026990604933,26.09630094246864,26.07844498902728,23.822051853090883,27.823460737010848,26.517593712632085,23.35102800858409,23.220447668906363,22.916508244897674,20.60701397428592,22.28171442222809,22.416641294924542,27.062830280548507,27.057728469110433,27.830384822540715,28.19083738880397,25.959553565595858,26.36157847853373,26.79391672115071,26.017868134658762,25.336901619303163,28.104941368860487,25.585353311326664,30.292138977480974,30.18503169564382,27.306717258296143,30.080183214323867,31.827643750782148,29.27639422078282,25.72645943840592,25.885439127340295,24.257271708637575,28.155438803915903,29.465156038046384,30.8757133642586,32.199889770491794,31.087059111807374,36.21241007862076,35.299362161587695,36.025860629757524,33.751760216716804,30.49687990903482,34.270724397122905,36.47846969370868,33.84209635196309,36.99220071627787,36.180732790768964,40.43373903560311,38.70034221396845,39.822677906941344,38.86142110337794,36.997932279076274,35.474957050676444,32.969540653762486,32.89454279338122,32.69036761323219,27.973266091005225,29.174523384307577,26.554046158994435,25.626076752125403,28.190139006226776,27.083943638286488,23.165270136485347,23.649559189010294,26.489620048399935,22.621383840448175,19.085944821074847,23.400851487145257,25.667506149927807,19.675421469131958,20.459667363277887,23.902199392899135,21.52126080445368,18.188515555962766,22.214206331595218,21.502088881889375,26.72496987259365,26.031028434420396,26.357229518227758,29.735551468294,34.062458503627155,37.42693040587198,39.16584246258436,40.38459823676496,38.28029417400173,40.48120460514238,37.88647316297246,41.798112687180094,40.7417606826363,34.669351630335605,37.47020784488708,40.68839501977026,36.54350161724233,34.29495321977383,37.35822051606517,37.21753031741151,32.898358401296534,31.846527646249942,29.16698283488331,31.512052863649433,34.525816688675484,33.84975339791665,35.896610055296925,38.46199536653384,35.67747608851464,31.978143925794196,34.09150298389415,34.32933274419662,29.596670710169565,28.722527400137427,31.05170256628409,29.135647993090082,26.0937139361862,30.69203596199279,31.192962052413268,26.800883775626616,28.173950831564195,32.111871291088924,30.882445159815255,33.610176916688985,32.50248117459994,36.04429829474694,34.558808779129954,29.028770405141245,32.45304203716139,33.807988530138786,30.58750771909698,28.984998690559966,34.773669452480476,33.41768895508232,28.153860538867466,30.434658191217736,35.041359115831796,32.72836442445893,28.8969040186642,24.198595437062348,27.806906920326824,23.59955210380431,25.069277110947453,19.640589365245148,19.75972816448776,15.853530326714463,14.685558302927898,15.965633610047162,18.89459194460986,18.666293427955893,21.208654163845956,17.930048182381043,21.425368685460754,18.103292202628992,17.806330416728276,21.149913420339,23.0775544672252,22.508954669740604,17.56290347110742,19.090361127712068,20.324022301452295,16.505786912039138,14.347097561158654,18.496874989863258,19.982979513180204,20.89215014332035,23.536805946571665,25.481943799365716],[15.88614948197994,14.28586191608761,15.374818132172033,9.861784860005786,14.636355268241578,14.969753375272296,16.72033065068166,21.151891525042984,19.98747774221738,20.811204449512843,23.725275250348307,26.787427749512673,25.76813507284039,23.51180962063494,28.628313354232457,30.078111632206234,27.83233233067741,31.811289345329314,32.8851945827336,35.6411972579017,38.253550894728086,41.31260960103995,41.885200057253044,40.40016752468329,38.04060741980431,34.32312493336974,32.83125529953224,29.495723987481234,31.385450655294395,31.91672212661367,35.330701972157584,35.19625054652165,38.92356893006357,42.12132304644128,39.63906754023447,37.37490029520185,36.56998642182501,35.92192211639164,35.026404660714064,40.532943584562815,37.177499138525945,38.296346327129214,42.759719051960076,42.468663521343714,43.942553974910226,43.6545151416118,47.816159975475664,46.82231683793861,43.39530540477911,48.295778165642226,50.638141064126536,51.34014927146606,52.82632928834737,47.76025393810745,49.513755245590694,53.7113378564892,51.77212589220587,48.061161776325555,52.03484887681944,54.904552513073035,49.72692178285179,50.49720706784158,48.71998288447492,49.17251487304709,46.63376468684453,43.90252512631957,40.67362521873335,38.07768675598933,35.03433834205753,33.3870215346268,32.136300147426645,34.30300265114882,36.72806547748715,39.75809502549651,39.54580460920942,45.76998925660054,44.49127632581179,47.62567224412842,46.36779397505943,47.197451079358004,45.28795887965939,44.34381884011913,42.384324175322384,42.37115409993082,39.12454875938004,38.473820055047796,40.288188416942106,41.688971121431116,41.14153676453584,44.66326943924523,42.218499943599504,45.178420686027216,41.98764284747941,40.22608073417877,35.51330733666702,36.032077056506175,31.719425463456208,34.62888251019927,32.32543938394743,34.3733910045113,35.34506780138038,34.4402841500144,35.61977429013567,33.556900584303655,35.60509109514645,31.003223064654467,33.072432994403364,31.115069172949408,27.1968798487075,28.409597756242782,23.527613600354904,23.877064435543783,21.170431752425092,20.863710528402763,21.817039651678368,20.792143358569252,24.222661981003853,24.89313340569947,28.7876129172918,28.07907521226248,24.94821557068069,22.46930868647848,19.16190098835217,17.555774787917837,16.25846641122696,17.312539368024225,17.752522532338972,20.85442004369346,23.477117925513735,28.165298070493726,26.56706166818177,31.169779478516624,31.724848225509138,33.1685101167273,28.78915948136946,24.991660623542963,22.514544403720457,20.665506904100585,19.613507576879762,22.52703827505936,22.9152897706597,27.289235787141322,27.75507751875725,25.7999368921944,29.973452974802168,29.082063898150462,25.952359077799645,26.250773165145667,26.097778304597842,24.07306130726647,25.795310027977095,26.114821175974672,30.72720436230834,30.730106930527292,31.560537356697708,31.89865439387246,29.59877064116172,29.916091878499753,30.224510613929773,29.236668450772843,28.139558197030173,30.89604932178296,27.86403024982425,32.61135694611657,32.031499599252534,28.61100933323337,31.469052479558776,32.7543635789633,30.15209782241249,26.69988976981009,27.25670575069824,25.99056027337133,30.253155699218837,31.912159953252395,33.599775271525274,35.18707889001167,34.229181435577466,39.348744273011626,38.13412713284956,38.84981423007915,36.192457404696526,33.1711065140859,36.566013393334146,38.52458852969256,35.83550527015989,39.02867325103887,38.283116393751925,42.28742286305339,40.13601053249401,41.33793761927305,40.21377778400939,38.54942505166486,36.81579159331021,34.35198621845793,34.2960425279016,33.912383628381,29.20724197941262,30.57866591383348,27.868675217854843,27.520769794230645,29.88525804907894,29.267527111057834,25.349762161673915,25.209020459523092,28.265375785537557,24.757933099137674,20.527052871622757,24.752251171911215,27.579647533045375,21.53403800204939,21.742071289249342,25.285691436979707,23.37857202629374,19.47970256706753,23.020489480571804,22.090635700523958,27.481753474204197,26.04896572861737,26.97441055064181,30.509849161866416,34.751005228411174,38.23389269337252,39.929042072754505,41.5420414652029,39.567646332991906,41.98075137589456,39.64843697652845,43.33516673668022,41.96062437470082,35.96441876373482,38.94888157601999,41.762682015465046,37.416689934771995,35.395633493681025,38.42269194769055,37.77260304582755,33.426409032881224,32.75079429566387,30.284433141339118,33.24359065789676,36.2642099985005,35.73751987636995,38.13304236535355,40.80046853854429,38.27692609147764,34.32712909770225,36.42284029868921,37.014779455281634,32.3076953324145,31.09630769889329,33.58153086931918,31.834198264980046,28.50694631766022,32.87194912756491,33.53900784268455,29.15407489049686,30.06770881483201,33.929366102003925,32.51957744063022,35.37574149257569,34.429605849453885,37.72021833965419,35.94619289352987,30.475791155496132,33.899460916535034,34.84014011583775,31.501541997215057,29.988543965649175,35.55959087152576,33.759134950106386,28.51578937048387,30.921735212214674,35.22807752243813,32.54459591333363,28.678750300882996,23.978221092486418,26.98592208848602,22.57062497494385,24.45091741596369,19.180125788021112,20.148943847237025,16.794278460300372,14.557390052529218,15.923135269663957,18.40645804451361,18.680159968251374,21.906389454735073,19.37974103765249,23.13278976741014,20.283253053803175,20.195939526357115,23.946396992701956,25.926860368657707,25.756028551130974,20.612951205407068,21.895848798557175,23.52271235101061,19.971528722943233,17.301987793543233,21.456697465103595,23.108014798389206,24.244643215059735,26.82335133214749,28.7014033059398],[17.184530641155618,16.52928716641759,18.730868347062934,13.844527790509266,19.245556669288955,18.568143377759633,20.564943489830128,24.667312596731843,22.89244015938377,23.884762272088327,26.318328022597896,29.49117067307229,29.062695371861206,26.30132733093101,31.335082132211014,33.18958732901684,31.212300275492847,35.03748068946227,36.03572834616244,39.1680904724524,41.620254019229804,44.93432933603232,45.286986774371044,43.840025463906294,41.739053854238875,37.85893062667587,36.68678022056622,33.29909564058473,35.0549415756159,35.58083795728884,38.329273782481465,38.557753745540545,41.99820654900237,45.244572908095535,43.10447864526944,40.9175159829639,40.42411421152128,39.9276794824888,39.26206386797408,44.96959953203341,41.480475466468164,42.25288021694555,46.77138446463846,46.73759316511851,48.211194679397586,48.10963417165788,52.22109213998132,51.17268587700346,47.93689220034019,52.93229719460301,55.171521990803065,55.97348955225778,57.33036086642708,52.12404473394093,53.88044960332263,57.99549524029583,55.960984008517386,52.139280686531215,56.03084575919561,58.90206220895829,53.56270621603578,54.01586855386047,52.107259610706635,52.37262604545644,50.1259379778116,47.44163869751556,43.7853660935376,41.1515609209742,37.7456683204543,35.89433341817135,34.427558180423695,36.13099827076867,38.886027471692685,42.18747920361107,42.2637522917508,48.479559204107865,47.6797755405692,50.790571066291704,49.86361094051701,50.961668056183086,49.26180807259286,48.602693644239686,46.70611094615327,46.92486591366076,43.693610646467505,42.777320088277776,44.33555402412281,45.62076422755957,44.75887455372992,48.01060659051309,45.27934648853056,47.87035874253673,44.58088770127986,42.85202091776101,38.17732513421522,38.24311750560051,33.96908318161152,37.38907796317021,35.2231720959859,37.23622420482777,38.75589555711142,38.14554128976893,39.616843805921356,37.788109741707515,40.2195481109286,35.62662030062838,37.75005231150424,35.951142628452835,31.92785749776531,32.952339725865926,28.020972694940436,28.480684820384827,25.420256459065346,25.319500889482768,25.70828876871208,24.827585214836873,27.983762841037205,28.459499731789254,32.016073736686145,31.29157894432586,27.951076592927,25.564002147524445,22.610097742690353,21.342964604871884,20.22725577814695,21.97601224366508,22.397483978963145,25.698756164665063,28.378546245001907,33.094916565253726,31.58609048003317,36.15724988767045,36.79680922616682,38.17555454695187,33.85348603459206,30.002525832330164,27.588460014622783,25.654753991359197,24.39594457072334,27.188322145718065,27.11363552340757,31.369419669587515,31.778190176101496,30.035532762343998,34.25835941304812,33.266582992200824,30.217754780930033,30.41003703002278,30.39983232035968,28.019788647028463,29.75525758371056,29.437411775234626,34.03284139931934,33.26900750066027,34.224113486674675,35.10356985833521,33.032637225910086,33.759944275288234,34.12441005056057,33.62773540565479,32.79365819447828,35.301237251164146,32.47283755919588,37.21485822003836,36.815099312560726,33.36798921263601,36.400272723165344,37.57958157691787,35.06846529439937,31.587853197480925,32.25858986746462,30.906758989725347,35.150573729492905,36.730062841070115,38.250710035105364,39.731832929806416,38.47261996124652,43.7037800565487,42.68338257527293,43.526333190999324,41.028357694202164,38.0055794694887,41.55613254961302,43.55913661914448,40.83703704660632,43.8905075915435,42.95888827325876,47.050909031735415,44.78992615842638,46.1818691344048,45.114289820154745,43.528780211666735,41.84055799485546,39.41062685360339,39.35742690890412,38.90903392353449,34.19054453014103,35.46222139276976,32.574869917355294,32.23581743670434,34.28795781705684,33.582586154285245,29.78917470494856,29.414687851557677,32.1711753677783,28.58781862609322,24.379031642093683,28.227896806022738,30.801339908656292,24.60236714623106,24.51523322862782,27.7249759522721,25.683438231851923,21.499561140670256,24.71187324776537,24.258310119463896,29.413542781627196,28.451252219186916,29.81265037617213,33.10565071429642,37.60949505156054,40.75185479134663,42.91778013252678,44.782927449737,43.14248237143365,45.786027520625346,43.70560499208375,47.4878664203809,45.8819187462348,40.070102840563784,43.29270650274739,46.001512152588624,41.58297333799001,39.81041397434042,42.98438959205473,42.057523996991044,37.65692223324539,37.43478607522568,34.772916114237916,37.96059604573251,40.848756235127716,40.04466383670967,42.47283581428222,44.86405674964167,42.486681781712385,38.593058361586806,40.24122781983687,40.794387262228,36.25501092052967,34.804266622712504,36.88725398958304,34.98167792117834,31.66097735379959,35.840115483808205,36.16241870470692,31.555686816859623,32.520581210201485,36.36341764913791,35.247508980787124,38.44928759696823,37.93784062202486,41.24790054558279,39.0458613699396,33.8255784572607,37.61949871715087,38.24034125150611,34.763647191168324,33.78009963959044,39.24506157827402,36.9892467990169,31.98665320236086,34.81533980976422,38.77941807818565,35.71284189004052,31.979856369755165,27.262577068607733,29.80572235042196,25.161177102119392,26.75247897169652,21.70057280523254,23.248427582425688,19.88183732846823,17.40548847801608,19.410894505126258,21.85676089929515,22.741836119301457,26.06494082982272,23.9495264030549,27.867631838298838,25.12672162626925,24.450314474343074,28.087308189653257,29.657157857400822,29.513045421573587,24.539965366846364,25.1570166944939,26.48435622256341,23.301840438393643,20.13561119505637,23.65191707424469,24.846063678382222,26.23037971640615,28.60800440170631,30.497046702043907],[15.527870449615865,14.683925139894194,16.795202921912587,12.659739064072927,17.80024862877528,18.83939224462873,21.32070378691066,25.67961923957383,24.94294292472275,26.195928493773387,29.118360978699446,31.974018651870427,31.170414132497385,29.086688236215092,34.20286632830273,35.59851020801039,33.36253084933698,37.35972488209058,38.31936658632267,41.01097485475464,43.55015126948051,46.48876647202993,46.97710237889187,45.292638189779716,43.00170535039169,39.44431507131247,37.970140064849026,34.77891924719858,36.80206266680616,37.3099008482966,40.90590190886953,40.5877176741574,44.343023957211805,47.62482122763097,45.071930126877376,42.82811522256424,41.84581095093383,41.13389780302485,40.03611319459785,45.2989897523679,41.89227086582325,43.35626626747713,47.763395776070844,47.24174975960918,48.50690029536246,47.92677544512657,52.12667529250246,51.422937886254495,47.81743046342999,52.4821172839747,55.11785862551778,55.75452292330214,57.45299895689729,52.5203242884368,54.36114654649398,58.61272149281147,56.685159021093995,53.13453773317465,57.187343062822244,59.97822847994414,54.87414177552289,55.81945434432526,54.15385444019382,54.55716107159544,51.90000492355568,49.25478055886269,46.10625400909245,43.61281886123993,40.55223662273292,38.9908197084209,37.67897859739704,39.772197784484945,42.3047461242833,45.296568997386075,45.15287933374004,51.37611345555485,50.02329742137861,53.176421305210894,51.82154077323928,52.523498502872776,50.504224719065334,49.34097811030042,47.284605973126936,47.02759016834214,43.78544167257581,43.44970528311897,45.461380603703695,46.92446275915299,46.55680071256017,50.154140320624926,47.79356274231235,50.796321198459005,47.59627647640036,45.78284395609185,41.05835447617093,41.54050071849657,37.216693499843295,40.0122489794254,37.55896316660353,39.24816048985479,40.44462720921188,39.09202701839613,40.48888097457057,37.960392463227144,39.72365619554776,34.91401086965791,36.42967180940192,34.17053143032238,30.112384929854183,31.817681232766734,27.059081675245434,28.08483163899359,25.84329375176372,25.734801493560987,27.163705295424794,26.061107530025723,29.569473377929604,29.985767733914766,34.03357840213552,33.56484304581362,30.45038328261928,28.046258398428304,24.586186692561547,22.99485620468977,21.55738600620092,22.02655869031989,21.672908419040684,24.770015474245213,26.877522042577127,31.66426908650966,29.226415717286457,33.70694312810313,34.51447382508355,36.47057125460336,32.05695304586232,28.707055465379973,25.394094540529707,24.338382542478463,23.690293141658913,26.98236992387854,27.38070576296768,31.660802443461765,32.551640070850226,30.67004954189241,34.848640499948374,34.18955426574414,31.02851285902251,31.379573706230904,30.953893066555885,28.98285544838468,30.22220257676148,30.654749907964266,34.93707407741496,34.774017536765065,36.10409609934093,36.573068510977556,34.52628109533139,34.54390489886657,35.220753164559916,33.76426425844428,32.67802150044711,35.80730509072906,32.49413623612732,37.21660154744746,36.13127031378856,32.32203944320752,34.84420446582009,35.71821480383434,32.78462767211836,29.73031783158064,30.465860658188753,29.842339856640162,34.295867907807114,36.18299300572284,38.14819852085125,39.74724026675929,39.15753842690072,44.08258570211472,42.79148983121251,43.24432147382507,40.38610313881699,37.20118237722454,40.19397537710045,41.96901387235068,39.46200263523935,43.03795424376265,42.651242693850065,46.32645951517944,43.97370933008939,44.931040372734145,43.48590934479193,41.847170512910296,39.67344113755468,37.05764763681747,36.71715842658213,35.81111707074176,31.10814532434845,32.23700711962877,29.110175154436444,29.422051684434635,31.03645779959011,30.978844409948067,27.29501661899225,26.08784531900585,29.056465243298558,26.079387016207047,21.108725178209752,24.78770516228761,28.138560579857725,22.15258046456532,21.436737285571077,24.859829157803457,23.687388226649286,19.09641177826076,21.696315910041534,20.64155922731035,25.987297424102437,23.901193232937327,25.689486598285477,29.203420120743203,33.40230517402917,36.808644007673905,38.675203155075856,40.876390148795494,39.302114131950646,42.12325134735224,40.36584615054079,43.83002678422315,41.879184174801246,36.22119072049323,39.63735816725006,41.878741593544916,37.30872437451618,35.841440113094016,39.03368543163671,37.586754161389564,33.19346721660588,33.550227371471394,30.934393519086132,34.84046892530727,37.60845415378945,36.92128644094338,39.813061133517834,42.333722970485205,40.409369185797566,36.14944706885422,37.79826595991631,38.94763333197197,34.47160279353423,32.544483865973795,35.01894693490341,33.52638214925694,29.780720685858,33.60861936062718,34.42387927547425,30.096082880344696,30.25503171705568,33.91283483346489,32.36054023579168,35.494240440428555,35.02621363258035,37.93434246972479,35.554778647693,30.40259467602634,34.01485836545083,34.21746942521958,30.7085713042121,29.731412165453968,34.89105204420726,32.31354573327271,27.38053436589722,30.266083031203127,33.91772222819727,30.630653356895653,26.923952172673413,22.3022248035909,24.43554203786192,19.7730746756862,21.676249885635897,16.850623206411672,19.012240658202316,16.488000785225577,13.075598953275433,14.918968526884425,16.89482725844451,18.245591965926735,21.970687250666103,20.798392620890976,24.960168703137814,23.05445660010679,22.396898349523557,26.590071400468013,28.296736552128586,28.959104172250832,23.63080969285827,24.052961451765018,26.295936226921516,23.559540558885395,19.802524577110066,23.729659234135678,25.75641318361363,27.411047847778267,29.870435195227195,31.531293457151193],[18.95902184197945,18.663530508679365,21.204451519645822,17.22911819593469,22.421524441399768,23.210076235744182,25.603973845233874,29.919119351391405,28.793955217826785,29.861550266835874,32.57329082781974,35.645705657788376,34.903026945080256,32.40201564995406,37.48939161552057,39.1264579830781,36.81275401925449,40.594108463364584,41.21744178820333,44.200117912882206,46.473419119688906,49.537153988835186,49.72465196098483,47.90972442742927,45.91620285386772,42.334935874955505,41.216960696312746,38.13656614824247,40.30769905320781,41.04659897638064,44.27565778179439,44.3531041346615,48.009034864255575,51.18233433155554,48.766159803567504,46.39507904577271,45.71199234080442,44.779745669938166,43.71409704656117,49.054244893133166,45.32289089681464,46.66111362160307,51.09575431138776,50.700690893191194,51.78623872935565,51.26929007996029,55.42760875043316,54.8591648889975,51.41118469042701,56.07262578225423,58.77070260077469,59.57426512096367,61.24875468820112,56.17416864912805,58.21781265948807,62.35525323195611,60.22464673330292,56.720004819526345,60.816210099354244,63.45269411642287,58.185074649604616,58.99689365367121,57.3740323553794,57.46571387465228,54.940667540283236,52.46513260653009,48.98329976761236,46.64835459851822,43.249443666866746,41.767186915951584,40.18755397959703,41.96377946256664,44.83820000070436,47.85703980062178,48.09492409349973,54.3193843882623,53.22118673884204,56.504471878538816,55.3084031314363,56.07895454927544,54.306118326290466,53.21005252529459,51.37940599902266,51.14266360060373,47.767042395324346,47.39272732580316,49.15927167587566,50.78025256586945,50.08171994678612,53.71095394307402,51.11795628923528,53.90663446229544,50.74009052389567,49.07913217262822,44.39050741840321,44.66884464685533,40.3770627610993,43.585774422318984,41.305814317351114,43.166806485409985,44.465627122936375,43.390980747252016,44.73975452440555,42.415486470579346,44.218594053371575,39.4627222620484,41.03771045334897,38.73218051894049,34.714631439486986,36.441323481112086,31.672222760066596,32.55732101563563,30.176689093260517,29.880737799297197,30.94492194134836,29.64776594687918,32.92565015007315,32.866065198698514,36.767007424265614,36.59201058505028,33.31814902605254,31.14545525984391,27.6744981090712,26.50579952982548,25.445251782341437,26.160880738835882,26.20675719720538,29.229455480145134,31.394760758534666,36.133287058796036,33.59741047842032,38.099990467025776,38.74855649724021,40.859387676533636,36.262167295341904,32.92316899394836,29.515713613249112,28.26466380749547,27.337706594995158,30.67629251584133,30.476504655726668,34.581582139756364,35.661761800152654,34.08254397678982,38.37067239553119,37.88306111284859,34.80096517416701,35.35944185944225,35.17621351971195,33.19213869602327,34.62420694689794,34.846829389733145,39.21472744455732,38.754451246973495,40.03435524435455,40.699658085714354,38.63030376532227,38.871929719374315,39.386353111389624,38.15849852149054,36.920987616314456,39.81145040680504,36.34035491521061,41.07394355216697,39.88659679988692,35.81892716843111,38.55098448595073,39.11817259408043,36.32818670883642,33.28112121988045,34.301214779554805,33.71386781693339,38.31584633671277,40.33349862203289,42.32612631508282,44.053054115694316,43.31984788184405,48.355416551841884,46.96304765447656,47.544033714386096,44.54920965923896,41.58613300817188,44.48820840621993,46.1420462513288,43.54324418311708,46.956425606698446,46.43025746276063,50.03204594789032,47.36689741422756,48.54000443747443,47.08945711942123,45.6551485845465,43.480659553650185,40.98393810036355,40.74248650139263,39.81957839979469,35.19479383532569,36.45192786025914,33.345020040745005,33.89086720931918,35.39103600967575,35.488155296324535,31.851419271939086,30.425970379539173,33.35914227618933,30.51185584879802,25.429542085050148,28.87618909450359,32.28211076542736,26.326412612711817,25.33437834101201,28.56373919154028,27.52023157403255,22.754444325209974,24.910464503620936,24.013554766575282,29.14431489176839,26.907567675099145,29.171786954299133,32.57739501938558,36.742740698189024,40.01752905754565,42.018964752121796,44.51477975627393,43.14927409545634,46.124125556854445,44.581282852937505,47.931260747564814,45.76724364420273,40.26464176639362,43.78860483178271,45.76092541203909,41.11175573484012,39.84397473584241,42.98592724950183,41.19679871052365,36.85616616959148,37.48195122990189,35.030321175267325,39.19795021032139,41.93868710434974,41.277537430549536,44.287413324850725,46.76716388509608,44.96323328926518,40.66464980333781,42.185625636262394,43.41729492591199,39.00911516879634,36.945107062478364,39.309475672603305,37.80627362988002,34.024013295166874,37.678172599463245,38.39553584204424,34.01280573944752,34.052323378533785,37.62429263224381,36.1453542479287,39.43031447736393,39.19190816817446,41.97106182562774,39.32927387780528,34.37637705417959,38.056067315332086,37.94067462699359,34.384863333415296,33.64627327271106,38.55574938798417,35.604245468104224,30.889124385298146,33.89697374449149,37.171968951685045,33.574154451306306,29.995856328191994,25.548758552469227,26.95494945539658,22.26796912943328,24.286922020318283,19.975224453088785,22.734097738977184,20.568238101248575,16.850127911667542,18.789455593416683,20.3226409816883,22.04818990239393,26.011021275374887,25.240285993029797,29.41499262590567,27.61607941712504,27.00317084952171,31.200577257280827,32.81471296790034,33.48419255151043,28.200404783260435,28.434483209558163,30.569284405024266,27.909371005923205,24.03816927046392,27.68522289752527,29.47169802889835,31.209764924433216,33.557504832872134,35.22782884912239],[16.01306393878282,16.40049299615137,19.72190235254354,16.679933175508474,22.397358059273188,22.465541661485624,25.441751609477794,29.426601772529384,28.42823167643563,30.18124251807869,32.739983853661776,35.44941106079461,35.390751416098475,33.13713335776057,38.191126715104836,39.846078963847766,38.01325299564382,42.054127839645474,43.20676324072189,46.09079823230607,48.661214556219996,51.78102861694197,52.23787730184344,50.651109181930444,48.4353639668072,44.73155057955955,43.32874339366813,39.98799116666251,41.75229270998931,42.025963978510326,45.200433305998956,44.89886792345071,48.39753048426275,51.88941079423562,49.62020140280745,47.599823981653905,46.66945889193419,46.34494005951337,45.448239278906165,50.84846930663727,47.54554104321503,48.79116366356116,53.243307869489854,52.86344402015979,54.23085770995147,53.739781457697866,57.92956418091445,57.12703266288026,53.558466370386334,58.28005439298607,60.82500344963432,61.41551927740817,63.042062297753475,58.09261331793819,59.776934118668436,64.0629450921767,62.20298287247977,58.50471675360855,62.45041404867916,65.37370885162613,60.22158456907716,60.94459076496877,59.09657047591916,59.526389087577236,57.08372224791495,54.35634635957544,50.98626328903787,48.3223086197127,45.11057188085855,43.24333775440877,41.896270751945124,43.68428043617982,46.3385917773311,49.638110735519724,49.52326263477019,55.73980737489877,54.74267647889437,57.75321003665125,56.64457287251696,57.59139583513481,55.56468592617048,54.636623104063666,52.40396132353228,52.354945875871934,49.255371668094355,48.70201120812282,50.68601054616885,51.870479058546444,51.470084181140095,54.71934098587737,52.23196016658601,54.97957457982611,51.60873653581022,49.66671645385388,44.94817319713342,45.03339561419582,40.72950715247802,43.728018484345306,41.224954625258164,42.56572497725159,44.46587488151936,43.07272985643655,44.98181279059523,42.41101089274816,44.56705258242062,39.657202721882875,41.02779898227916,38.959642371654304,34.70514632928268,36.24290035832058,31.481786486702028,32.93690641350604,30.458796348936485,30.826049800203236,32.02359380199596,31.25199662354332,34.699788302536966,35.26572210687939,39.099596579121105,38.4030483017654,35.1730539847872,32.66529556469504,29.564668351856152,27.951456330154574,26.319310140118695,27.31473662233947,26.45560635895207,29.887493588885956,31.917338339427587,36.79677089548374,34.39818521270588,38.737571481364505,39.879627539503424,41.725740763489654,37.573326446518806,34.243444629758436,30.96636132588438,30.09656908002271,29.492112543373114,32.69132914990359,33.06806694602846,37.365780094554914,38.12606432533817,36.23086826649576,40.40164158287441,39.50789223818406,36.338510731328945,36.372931904539826,35.82395323941299,33.41082298557638,34.357343671491975,34.199505852564236,38.25514721050735,37.30783590652615,39.030924589423606,40.06488009247966,38.423690091360776,38.6650260499298,39.68874413563552,38.513542473969885,37.91826911638764,41.07004942114839,38.07718299739333,42.803944723465314,41.91080273153347,38.202313891524,40.673774261855634,41.57630123399592,38.561708611183604,35.58239969613992,36.24168270707026,35.610802434901785,39.95480737714481,41.67695575807998,43.47876564797234,44.82177568323271,44.079826021175116,49.00711061718659,48.04619102991642,48.46265952066183,45.88439993519308,42.42740126328383,45.607172506699996,47.504120422580655,45.09620935423154,48.75641369551673,48.361589557961864,52.12788131922637,49.854014251984864,50.78598388983885,49.32107093456391,47.61133967822509,45.37552694678405,42.66090198377415,42.151587998141274,41.024826045007146,36.29242701282035,37.07112182157221,33.61925248409197,33.879607867438644,34.90296716486499,34.73000586793268,31.323124719323026,29.747420551583446,32.172310146551176,29.208118618920956,24.410607859936963,27.390888845539745,30.32801572828184,24.363423349647178,23.21395212690075,26.052369369897452,24.889976102088834,20.074975352356798,21.989647609252973,21.59944796870477,26.388204413465154,25.090099831155353,27.36612988418796,30.404594325309237,34.881801770551874,37.732324593977175,40.24020590476773,42.75195252546678,41.70119705281033,44.83349203381834,43.50643446956017,47.08374805251092,44.79868402550792,39.51956164416777,43.27863534513107,45.37081519932185,40.77937403175868,39.72954994244095,43.18040361524351,41.39503817570437,36.97686100230588,38.08407867461793,35.03912043441468,39.227448493277855,41.699290630369724,40.52760240612263,43.48035636232422,45.54674214071676,43.95918861661096,39.76768669108657,40.69818228486314,41.89696073719358,37.74190971186691,35.39209637011695,37.324966624853865,35.73585136265408,31.97010094415466,35.38721084940806,35.82077280684982,31.35525043029875,31.39381990281014,34.90784531590959,33.7248527135361,37.27050423942685,37.44262914209783,40.293956783691854,37.321290120110966,32.6493740345856,36.72817230067938,36.45747468824526,32.83170972524483,32.68939172154303,37.60490352950191,34.45459946377481,30.02982111863048,33.5089065568793,36.61001950109076,32.8975666292751,29.52798273734069,25.035990739370888,26.62371110151423,21.885352705582385,23.005297912887933,18.731846068463575,21.4212185652916,18.994782408061642,15.696582928120002,18.316796775269474,20.301939935803578,22.361581415189484,25.840363534285736,25.21270412299103,29.543592520624955,27.90200766521105,26.28931815426944,30.327054599193648,31.44006676888156,32.363213544901875,27.252482768326136,26.710055206287777,28.774727342133794,26.745614463920706,22.26582130580846,25.38729414532992,27.102220948212906,29.146571793875008,31.33766962421645,32.88116554800222],[18.552805206858064,18.867661508955976,22.031487444609763,18.152071812465042,23.95336471053979,23.045652073085332,25.533198443710088,29.39280164972179,27.589420987252222,28.975216658466458,31.154144210997718,34.17501735113561,34.258183225623156,31.425389372726066,36.372645859779716,38.38522265605594,36.64149036024042,40.444726420327775,41.457594202169815,44.71418210599,47.10792489684645,50.50151199733698,50.75549724249743,49.283119164904406,47.30331079956664,43.39789932376837,42.331497275082434,38.934302106878,40.60610997731431,41.024814934077455,43.516851182969475,43.76143633692238,47.02863115076052,50.3961270286461,48.43390951845913,46.369314900505834,45.89921717037045,45.56922956491962,44.95640090559655,50.67342993132088,47.173882771142004,47.91349315619187,52.4386600117224,52.435140729138546,53.86970383147336,53.73720178652541,57.848740010710976,56.85830257742152,53.61450012854803,58.569859423707356,60.859874641305936,61.64568607887736,63.02186866697814,57.8229664377221,59.550480354334496,63.680154341722755,61.65260817202106,57.80508735929073,61.66207197156491,64.55634039134306,59.18606823576424,59.53497263802132,57.56310896849124,57.769854873548134,55.64494697582975,52.97578599427491,49.16478476758955,46.50121490745552,42.95832040859866,40.978556635019984,39.43514674190213,40.85666765080317,43.76390748887377,47.225486857711445,47.411217760014104,53.59640763507187,53.039593347341,56.08531407834496,55.30848730776099,56.52303635634192,54.83088427135672,54.25312758018105,52.26341935559184,52.52771129517207,49.35484473644712,48.410704672950786,49.974711479510916,51.14311535770726,50.26374944070876,53.330276027797034,50.51507245792617,52.914499098654915,49.53806867053254,47.75159482143917,43.10772753126394,42.884126888154555,38.6559168573337,42.21075852212041,40.00857086273328,41.720105986233875,43.73847563149557,43.009912202669305,44.834312981247315,42.86547156666614,45.43277816908955,40.718276519454555,42.59700430513506,40.79269509392353,36.61004326319258,37.71243952041956,32.807250256770935,33.703892930295304,30.662678843296817,30.855683320123784,31.2558848717751,30.50149835529295,33.61667952241584,34.019987490915945,37.472939322533755,36.749711467768975,33.35169718916618,30.985268737074094,28.192611117416007,26.967602951034163,25.73817321279572,27.543509733579196,27.471135656021694,30.94375314292432,33.42684112812087,38.239777032953135,36.451784492610265,40.93667884695774,41.81515939336471,43.329921174075196,39.09059076334957,35.38307658545825,32.67387908443096,31.072066297209517,29.94437090271198,32.8449987084562,32.70039960642435,36.90671580473708,37.41527801695582,35.7327998227055,39.965258987537986,38.94914358951709,35.89825899001225,35.96518294258619,35.8259194942516,33.22791069878763,34.662599312010485,34.02650766392853,38.38196047950373,37.05832059231205,38.38835901230434,39.67187910658769,37.92117919110085,38.70939398857748,39.364723241092314,38.90116809539738,38.31395296750616,40.92914987899303,38.154762863116986,42.89847920177627,42.418820339762334,38.849511841282165,41.78131045606829,42.80022151041587,40.14710983126849,36.82341838152994,37.555009761126485,36.41705488658602,40.70282815303448,42.292370180453844,43.822699456017645,45.18693977208355,43.94011312489855,49.12649530801468,48.25187755140035,49.011278687849675,46.57907777425918,43.38029501803638,46.89841930567281,48.89666662221027,46.264901930177295,49.47073921510783,48.627269218714304,52.65815994825104,50.32376141054417,51.658721282806056,50.473929217677345,48.88701548871332,47.018460637779896,44.49501133040286,44.27447456672447,43.536318998316844,38.79035484336455,39.827020023041996,36.62536847756188,36.50157345997918,37.998133270288605,37.42599430143984,33.84737171148279,32.912020616223394,35.35696461013327,31.956807996661247,27.583526122275018,30.876408849765063,33.38845517760006,27.233775550020916,26.60117319229902,29.413929459626466,27.613488526480616,23.112357435480984,25.589552780354907,25.501696443479258,30.265819744957128,29.547266898693568,31.486226340058536,34.48509955482391,39.12024661357497,41.89486306263548,44.497964855363804,46.75503031418921,45.561349024696305,48.5259982601907,46.888349437830236,50.656242129684685,48.65692037948238,43.169871838964376,46.73429905668252,49.153445275337646,44.633331197315606,43.27992598141143,46.64611889188394,45.238129127701455,40.80537679487734,41.337871274690336,38.41714460213909,42.10034152311277,44.75652149912536,43.64022853677571,46.27566368529236,48.36412234359964,46.37301810873053,42.41104576062731,43.50601090462892,44.26491520157162,39.983488145481935,38.059069295377796,39.81453682906221,37.92741925228548,34.472175264000754,38.227554883504446,38.350816649111906,33.68332707405387,34.345876689592195,38.023236448942946,37.099287638700936,40.636608862799875,40.66401084721547,43.81196407006065,41.05761567862667,36.23230749661092,40.3515902733965,40.445467096288624,36.847287016342584,36.51010289069156,41.69009586638028,38.83334793788605,34.22687875827215,37.53643125168115,40.95853621212726,37.433527345385755,33.94619824194156,29.343258523291603,31.234158456209798,26.483368731304733,27.692894466178394,23.15210868313092,25.394572808121612,22.383376893441064,19.57132503022439,22.09379537160198,24.334198766951193,25.947115420955296,29.358159400782153,27.985906422410448,32.14839133102711,29.85007418595817,28.51096341183186,32.221203566433836,33.373981081287255,33.636648404581614,28.728754954782968,28.530741169709554,29.931477159841382,27.427766711967045,23.52250263285371,26.44991315303945,27.520558978280572,29.291670397658166,31.429444668901066,33.170004622941306],[12.811425704796198,13.015007075455044,16.34909040878998,13.165419855503597,19.151013355075666,18.44639600134371,21.51917129386155,25.322452936927572,24.27777094998153,26.30366843857158,28.788251211508033,31.324940724727018,31.5625852727126,29.472007395382818,34.480591726278384,36.11314414699478,34.577394482087634,38.76780167410798,40.3197828883862,43.10295221096187,45.90436738079609,49.06759275129397,49.764373290889786,48.421534879616296,46.00927661320015,42.19442207911038,40.57133768896313,37.02884886427763,38.46598540101135,38.44427832075681,41.562294757528115,41.05695518469275,44.46587225267938,48.10245395262917,45.923866128001194,44.11847439812657,43.08005044968754,43.16204782273237,42.44943906624609,47.953047266271454,44.980219863506015,46.03470666012096,50.49473816389923,50.208088580543475,51.85166374324273,51.50343891416964,55.68641727176169,54.59760157857154,51.03328381020893,55.887974875767824,58.190074540805085,58.667863947631695,60.16566853625388,55.256864650502806,56.66649954450896,61.0129012005857,59.33366734578638,55.460969914766935,59.26721995302918,62.39927448368557,57.32290824575609,57.94061180732493,55.92150571929735,56.61712134848383,54.25260803068074,51.33026545031887,48.06809720420634,45.16250882872098,42.14681998598212,40.02740091331809,38.89735832081839,40.783343543926804,43.18563330415741,46.630054372369656,46.21435633321867,52.403948067732806,51.44010419988686,54.26055387707469,53.211977889625,54.29414374727087,52.14255535359075,51.398259099799766,48.9616258148392,49.12745433056505,46.210404491834545,45.420982668132645,47.467763202781974,48.3518754905221,48.095856356803345,51.08898362987307,48.67697483819897,51.421760259148,47.951042719004015,45.855431001254004,41.13206127083663,41.17357854443464,36.87188771196608,39.709629112293776,37.12041190174619,38.30376407190635,40.408188877401585,38.9995565709305,41.12204695066107,38.60478342523482,41.085581964233,36.190366279165254,37.70922535042349,35.9316432071007,31.60542796004253,32.78942586438547,27.970633830527422,29.46986048562827,26.758100848156975,27.474313927204808,28.5943981143509,28.211698216258473,31.721175335812003,32.82144222871967,36.54499882363739,35.407259756907735,32.25382534615599,29.50816929541688,26.733132931257842,24.80769016943459,22.841824440044924,24.20310050046659,23.0573127240721,26.73698167643614,28.903676119935252,33.812254391739174,31.915686525244062,36.223748200403314,37.53196692815803,38.95272844360847,35.100777543019504,31.581323355872335,28.785895422987107,27.82126973194179,27.28127046931637,30.197723645854374,30.98470133058936,35.41530117719669,35.77718899171813,33.64250104438144,37.689381435147034,36.4438314204914,33.25310742669608,32.92497140280362,32.24595481680371,29.56863979050762,30.409567433799406,30.00863862549896,34.03533492052616,32.95105232395711,34.696490702581386,35.83662354178645,34.325021073309806,34.66520939796639,35.83644272325594,34.8733718858768,34.67064631052857,37.82186597722527,35.27296350483987,39.97260847786818,39.49481762124601,36.22339751087129,38.66263103136827,39.98627550137025,36.99464296343469,33.8720047845127,34.20574380549833,33.257393089893014,37.32073920705613,38.742293971422676,40.29481785000075,41.391002531521096,40.499388734646175,45.42050895352309,44.753049616431184,45.18233895523647,42.960644427058035,39.28511261691114,42.81824301936119,44.952420271025545,42.58002908410347,46.203657541059805,45.73458357412002,49.744260431416976,47.83804038994811,48.72000999380442,47.40994291859247,45.50963667595204,43.46372803708502,40.69389551530563,40.1693562977377,39.20532408575966,34.395988023000974,35.02671951494903,31.59406639161094,31.31526691153225,32.51112831020016,31.858003838257158,28.419796749908134,27.359175121678444,29.59802332862148,26.207508895538755,21.918980921868627,25.07067152191526,27.489840224759277,21.350064936674134,20.70661025977415,23.543119566560495,21.787571483001262,17.25394869126164,19.883342220790265,19.77068023404638,24.615587444516464,24.20074363602384,25.8405881518122,28.79986918107768,33.51819247833409,36.2836004248534,38.90606590492142,41.008853858234666,39.80633321479018,42.757736421394604,41.145415430516685,45.00841315691693,43.03491155785331,37.598871497993855,41.227468759790625,43.774517194231606,39.33101744055592,38.022759384777345,41.56191916497813,40.291327662804285,35.8204517119316,36.54436972316816,33.230706368776865,36.88882773187016,39.374053256307135,38.01932464725144,40.65757918102478,42.61232747768267,40.770991109075084,36.79292273608292,37.69660834949576,38.55503665606802,34.36409102065575,32.26534092300397,34.01951217567618,32.22345470872717,28.66423497439629,32.35972933193772,32.587564472404516,27.98517566633577,28.514498410452067,32.20460378199335,31.22138923973707,34.73522130163688,34.77642495556875,37.94626419397275,35.21114505111507,30.380287001944648,34.577717785949226,34.74419790847406,31.158299961679425,30.927873770861527,36.19701910069086,33.48489153788074,28.89749277661126,32.32955606623619,35.85577229954909,32.49911979569809,29.049126141182914,24.370418735554452,26.791630837765265,22.10280741041013,22.831093541968606,18.012911384277626,19.839943315372892,16.5949852186949,14.158876920354306,16.938867128023215,19.602640907422575,21.195008995109834,24.172721981192158,22.832579351773187,27.074770663748883,25.039081362063516,23.09507172961983,26.846969603934834,27.839763380746987,28.48323760740641,23.518515368153317,22.975585266465124,24.722781120811305,22.625618330823276,18.236636956192797,21.292370552135594,22.861896837674614,24.84337630624258,27.080583050813402,28.693003697023144],[11.186167564749255,10.62808878614243,13.33994485179136,9.48977640507071,15.532717788891084,14.111620390888703,17.082875145607943,20.82834685103346,19.736554662934864,21.864735349645454,24.37547246808946,26.82172491232567,27.121541094892624,25.205597521782064,30.187603597558983,31.74224465015891,30.378842407219143,34.68146896991303,36.543883098978284,39.19403749924317,42.18236698451515,45.34301650342412,46.25106947647353,45.11683320107728,42.5284308202709,38.65325511638507,36.83305919487197,33.14909338282417,34.33639843288619,34.1113784856341,37.25768015523542,36.59365776477196,39.987963047232746,43.68756088260973,41.524915732012936,39.847704765479754,38.72759610738724,39.07594824287127,38.50182646949182,44.07514098667763,41.369136325726544,42.2674054559719,46.71492933955995,46.50484869088631,48.37129163620491,48.15831463735051,52.315782658359076,50.98572540457814,47.452385607478725,52.41594464282877,54.49902064279756,54.90644139936614,56.285615612332386,51.40607744205074,52.614307977725936,56.98877194375756,55.439405131939296,51.445684932845076,55.14735652041277,58.423098722431625,53.41771103481388,53.97740593223243,51.8518071002734,52.76117186062231,50.42919114262006,47.36374778473774,44.24125376085132,41.1681524237763,38.364858515790985,36.09753015897561,35.17555761629993,37.22060377136197,39.3573071234971,42.84665771035891,42.16306347497301,48.32480875986413,47.31360249408809,50.00676743053999,48.96162084451518,50.11242051112353,47.87710754787991,47.25806703333172,44.709892068328955,45.03763600214885,42.244888975237046,41.267805919915986,43.34446436685468,44.032470582038904,43.882441767688114,46.7330838819624,44.404812681937294,47.20328507840248,43.69382471263714,41.50626004090362,36.775760332034054,36.883922172791834,32.576531295928675,35.239228414091095,32.60029584136485,33.785169209909235,35.865800508365645,34.51311176659727,36.66905776865145,34.272112675263216,36.97969949535841,32.15526347945876,33.91671680814908,32.38977181221553,28.08427948197228,28.91856937340798,24.03685786265395,25.37635017353242,22.434698672330022,23.353081634434297,24.388391344791238,24.31636322055284,27.863891045743234,29.433251117604172,33.05923900270345,31.563428142062538,28.521732036701188,25.587627714246796,23.081004750300828,20.871972985959665,18.636015231182053,20.316123172123877,19.104566886499313,22.93197981336988,25.300633240351264,30.17422692997171,28.832140507559462,33.13208568113089,34.459331506808525,35.47219648148711,31.841856961662657,28.121452391616902,25.87914501743876,24.707359754198674,24.175679618829182,26.77549887117333,27.91955456855229,32.42475469378939,32.41805573638208,30.08462212739424,33.994459262704,32.47021050277876,29.280166744447115,28.68730610301236,27.953953241401187,25.1246020827694,26.007175403167228,25.50878877647314,29.63591314073581,28.65866386422472,30.249666882629246,31.32314785104536,29.784367777743093,30.201120013001947,31.37188885487807,30.59638541197512,30.63125811345395,33.71865934811936,31.534862470038867,36.1888760264316,36.088438634484596,33.23577093253271,35.67972144322195,37.38145968087065,34.49647527011379,31.224532239922247,31.27532807878943,29.985345038772508,33.77565358976517,34.93957925056209,36.27300659979303,37.212534148570576,36.1780710508393,41.11689134740079,40.63253078479194,41.11529045694406,39.16136274523272,35.39586153029171,39.22821341862735,41.54639608715427,39.166443811795716,42.67515425611641,42.101831876758446,46.31655689849821,44.72578900378446,45.59870319821381,44.46268763003838,42.43629222890132,40.62446445221804,37.86942297279991,37.41088923172726,36.70429043896101,31.881579745848253,32.49859211541747,29.24644225656001,28.438215185788,30.019504530124514,28.91465586787342,25.367723922393285,25.00948590664691,27.21867439002079,23.407557721272724,19.690964394258877,23.20109675849358,25.18584606082335,18.94878303981545,19.032914165755816,21.993568687426425,19.639357110991337,15.639387805924263,19.14412486362546,19.08528958700114,24.012415589519478,24.143534826299753,25.028112279612074,28.006981881540945,32.77917426301139,35.607194453983155,38.10208066555686,39.72322297148435,38.22443568116851,40.88331698346213,38.867044751616476,42.936333730854535,41.37559463270343,35.713405836404945,39.0709437631991,42.068568388064776,37.8044802160765,36.12993572667124,39.62794039973612,38.947406927029775,34.48835561360229,34.59361328366683,31.2192271757466,34.220770861106146,36.809166390693164,35.45594887590094,37.74034765453266,39.734902768670715,37.51758562343516,33.75590767884703,34.883525686677594,35.3628541154688,31.032603881571102,29.373654862756577,31.115152243218667,29.13544863792018,25.83909674398194,29.94442408248799,30.08206041161642,25.420832711394596,26.511966383486712,30.382764691444425,29.488910542538033,32.79664882938164,32.49352363047997,35.96728180373975,33.67918337386327,28.595965692971888,32.70185212403062,33.4319442121109,29.968249831331715,29.384604557628,34.99031025072082,32.881127720656394,28.064993791185145,31.204175519052498,35.229952644727604,32.352420733208646,28.790648274945397,24.022472792745933,27.229909186048552,22.726250798256874,23.358421073863518,18.113565340067513,18.914675979323395,14.930472865179617,13.510373064251608,16.021436254674747,19.183547117594028,20.05548948733534,22.53845215096832,20.29306847754781,24.300453968675367,21.736266733408016,19.808691133045297,23.24752275818497,24.325435130715903,24.508701191577938,19.648409286662556,19.50689495217686,20.897989073252155,18.38968916978147,14.455047951753569,17.748625557590234,19.20763982492318,20.923568669409033,23.319582746438062,25.067756794909517],[9.921862363124587,8.364873121794576,10.263929425503624,6.920772887948007,12.462895812492171,13.395203926598894,16.593852925667296,20.670911680356664,20.778785714900053,22.864802526615367,25.93196651504227,28.107434975262166,27.73050810219223,26.536694244820264,31.545445017091993,32.561192386570205,30.822427823263308,35.2284306600078,36.98679435223265,39.1526560498357,42.20635650783607,44.957510959569696,46.01307957402263,44.66264565794686,41.873632854062514,38.34698664159046,36.22206316211424,32.776392952285846,34.269330098046254,34.101351854575995,38.15953828740641,36.99018545285909,40.748566631999864,44.376399030399696,41.74295583888466,39.948400768043044,38.35714205594825,38.39247530449805,37.36754365208192,42.4655626902922,39.857120167998715,41.4359043844762,45.74822499879285,45.05423626089986,46.724344472251566,46.063276271418594,50.29081998837455,49.27476612327101,45.398208929816185,50.04150580156472,52.482731274403584,52.73685960483383,54.43829411725537,49.83264325525294,51.13967948004535,55.62573270186745,54.17465161096534,50.4735519020411,54.33774039149489,57.50420062690589,52.74997761754327,53.82311721632263,51.97692921770249,53.010887522987446,50.25005912280021,47.24553324734449,44.67420167341152,41.7934868762923,39.37192015775652,37.48685109573576,36.71700351173051,39.19524850262811,41.08624092282911,44.17082005073974,43.28506375043754,49.4233875324777,47.79494066684514,50.56024223072256,49.0444265881647,49.749843721010166,47.22273017000741,46.068972344698864,43.421877426513745,43.24726718421529,40.426027357191806,40.05022339795071,42.55763154619003,43.484992196093486,43.81173193529176,47.08105036382546,45.149727016027946,48.398421046019045,45.052780859252984,42.85520401714364,38.11647319676984,38.75697281105949,34.4452728327521,36.43367489218429,33.58038613247436,34.592348424337054,36.05686664979236,34.012934141340025,35.894237854903714,32.84190939478825,34.76460584194606,29.76953186798403,30.98391971027113,28.963655833435755,24.663420678145155,26.215409867047324,21.51446779424507,23.302376695223714,21.300911431636436,22.06399013486388,24.18244837766256,23.81314347051309,27.6648046535855,29.162121806326617,33.24851479361218,32.04965402526477,29.282874811375635,26.406287159979378,23.367625580630477,20.897655660866526,18.46039722822136,18.674464664120247,16.755975998766882,20.27605310127191,22.08218034876784,27.005370223657266,24.81078374632898,29.055128588632844,30.496776269399405,32.025994213647685,28.298987964363686,25.046805302295738,22.026316654711636,21.685745379372655,21.774843007772326,24.781255583145523,26.446867644366424,30.952307390918417,31.357381257891873,28.883527341969014,32.704505203152785,31.538836231592413,28.269986730161108,27.910292703605407,26.80937741189765,24.56800839142453,25.046489010759675,25.557392330854483,29.405664495272195,29.383261504746248,31.14537453535968,31.562014305230957,29.898917649012045,29.523034666266355,30.863602497575894,29.053534549415883,28.710840779227603,32.380866235524465,29.69951472758363,34.299775183338426,33.5552737304285,30.44283694619436,32.38380471889889,33.88085716962188,30.63672078801566,27.748306762251683,27.78443182195656,27.139769683541264,31.082614583140103,32.53956496310777,34.31806578364505,35.42620218699796,35.08671365893627,39.70663991193183,38.877914607185566,38.996122099085774,36.65458095364642,32.79341095983587,36.06722736321731,38.16544045814975,35.97682983986654,39.94842467798403,39.885136273495995,43.702563066400266,42.07257127958916,42.533191206350345,41.080690237317064,38.988710140005075,36.77674831877258,33.86064534822759,33.161950568965054,32.10822189530459,27.288770459120595,27.810096297008986,24.397317792587128,24.129043661239997,25.492515996275518,24.99734000966399,21.43835082908363,20.426736698162298,23.03241602921981,19.757708604549972,15.189244447480643,18.86898936248405,21.78564206477256,15.70841373034587,15.354110967552577,18.829525847046035,17.37845522700769,13.072255562526292,16.276924318066776,15.309617512930147,20.696943395170084,19.551435751038127,20.52770750412906,23.91251008584659,28.338574070233623,31.631126306554965,33.619444345431496,35.397082394544505,33.74629273673556,36.45347180405462,34.55365869303668,38.3316241260425,36.593691238422224,30.903074870109847,34.33037036633639,37.01880545829376,32.634292089251794,31.06563692790836,34.53898374225177,33.579657427369746,29.113337546393986,29.473021913467168,26.174780787449926,29.70125361739667,32.27493551876776,31.155765616947345,33.847172634235555,36.12764497986811,34.20613752418991,30.060358251711076,31.455609294159252,32.49355993337451,28.092578673588253,26.121852354840545,28.477686453558395,26.957719912210482,23.23459318996397,27.166196139743395,27.96462767530594,23.67339065132527,23.98175490921742,27.729936322612875,26.248787542254608,29.326539957043554,28.802341365213294,31.948507624577545,29.726546904358212,24.478556536390588,28.2755861168113,28.838676717725658,25.3721783348195,24.48241396699417,29.981598510288435,27.839420044871613,22.86453656062306,25.880825571185536,29.89661932094934,27.035754376527965,23.381892383165027,18.60780680908098,21.890863524294424,17.476606222921657,18.435153917162822,13.061785800604495,13.954076500844927,10.50826551504383,8.322474724022683,10.545426027530095,13.627984231408924,14.558594922340573,17.283783407169427,15.607843562200854,19.852172399641773,17.992952105317954,16.302136965914265,20.40166591687682,21.856840668434856,22.782460389009596,17.479733903575582,17.536987511083428,20.012295697013972,17.725637155981932,13.57416149932602,17.63119918724166,20.117703825877722,21.87895539724425,24.4171286249953,25.9355794621454],[7.129114494921882,5.491949902542806,7.843061423673032,5.4136081402706475,11.340661724476517,9.91401296295378,13.692364067916825,17.13306812135224,17.188424063564643,20.067555271056197,22.814131678057525,24.527340564331727,25.020608237339026,24.12332971431869,28.93417890795889,29.985773172616085,28.94820246895266,33.551640734383234,35.986080635314764,38.04751988672231,41.42061510642896,44.28422865997875,45.658372072238166,44.71363051842404,41.71874647969416,38.01699864960827,35.632115934331175,31.87228986480694,32.706330458453245,31.944845960860075,35.70778971916338,34.1932648930958,37.67359966369427,41.6141256934325,39.25907563990572,37.926215384344864,36.183056497672226,37.046302739493875,36.410540270436,41.66745205843365,39.634047104176986,40.80591995535209,45.100835291737326,44.618628476862646,46.72049378125548,46.320072098168,50.48646469791026,49.01948760624821,45.21053409696734,50.03057734529594,52.05131190552052,52.11970237376581,53.58392453770584,49.06416818345113,49.87907586696131,54.44304148589287,53.29667611736586,49.29732743632499,52.879088207872385,56.394769286593004,51.759763480369706,52.56959824571903,50.40373562240445,51.832995147749074,49.303749999144614,46.00315869342746,43.521261414659214,40.23677037090754,38.08065329676406,35.71133597201186,35.2751494881588,37.735491823821036,39.26872851347025,42.661312906238564,41.34190508654922,47.38351649761169,45.96720585970714,48.36124478465806,47.05086482541533,48.06323315643985,45.354745748149725,44.59602536991064,41.56420583803759,41.82156518255677,39.3813180579587,38.54096666763594,41.116579559785144,41.438995291082286,41.98552942734478,44.680134629785464,42.8323956993785,45.94905403523383,42.39920259981095,39.91259776619493,35.204222074592195,35.61140172223555,31.35497889027089,33.09958124422556,30.07039150767015,30.603398241207525,32.737624369986946,30.60256353856478,33.10030589409703,30.102050869611364,32.749881303149905,27.77034623221621,29.143084685871816,27.750737162433612,23.30239524807623,24.099288125923852,19.36468834814147,21.47294749710271,18.99167103273206,20.662148904945823,22.528488308702904,22.998112598156066,26.81471514183821,29.163523820725747,32.892660649542975,30.951198355536846,28.325492990376844,25.10285256819697,22.84708993977115,19.935357798245665,16.870844754268106,17.941762587307988,15.20438923856313,19.256176643260076,21.196007393031064,26.086859218704618,24.83442753746689,28.83371550256641,30.672489533263562,31.424000925640392,28.398619460888117,24.940172936680423,22.860445895322627,22.45928448578438,22.65812392009155,25.047999959063066,27.25928575824497,31.82163187752925,31.575243227847192,28.799214768955206,32.3348885697073,30.531185690090958,27.290341596642246,26.17294528421776,24.774877375209073,21.8761823921068,21.941884138477214,21.743600092185492,25.3910081767071,24.789597605913784,26.826700253382413,27.673187531640277,26.457078428434933,26.317767546672496,28.116553150935,26.790366761842083,27.38603923509045,31.02063675538376,29.26127233796717,33.728912327301,33.73414055793772,31.399778970983935,33.23466207876622,35.32537001357514,32.17844996358258,29.18966638713346,28.706461909524737,27.575981273418755,30.91908170737896,31.785648383222807,33.055241737080905,33.61842841070011,32.97709327804042,37.542191327912825,37.35243390453601,37.46644985078842,35.856509275969536,31.558671066750517,35.4509256883879,37.95051616588892,35.896076553496506,39.785295511449476,39.60263139424911,43.78015905713014,42.74029688494783,43.12061944705309,41.90920812282843,39.54799673052639,37.63601752922305,34.658457337270676,33.88007922054172,33.00379774114989,28.19396215434508,28.299772307583975,24.881183004185427,23.668808866808686,24.986762987989618,23.588845269864382,20.214001460763846,20.006559366534745,21.884328973609474,17.9008288705495,14.680456280259472,18.09361746162676,19.699690856242288,13.474275235188264,13.99843826635979,16.9885103300029,14.419562901147437,10.861618982926352,14.958417219758685,14.892503789279276,19.726389904285394,20.48582809045346,20.608159482318413,23.45756111202539,28.249706123094537,31.043695867389435,33.48043733435822,34.73235401462102,33.12984210922925,35.65548580133579,33.53653541707897,37.77313957389279,36.387983899077746,30.75584097611236,34.06729110386371,37.3418892138934,33.273099653041896,31.54528338338343,35.19520882195177,34.87329655638809,30.44722296777326,30.56713898131077,26.74848347769671,29.435937436369045,31.8298544195247,30.184836960590328,32.33713886918554,34.17816077214832,32.014130374622034,28.312487138987887,29.279322369552347,29.745046360450807,25.470701628491682,23.75572017922674,25.494782629699724,23.561798375185887,20.23228257764655,24.435019163993147,24.679021676857477,20.110548548539086,21.263331934699195,25.191618770264185,24.26261516159468,27.42585314066362,27.00095239608626,30.606770137479977,28.531277270265285,23.387343634164548,27.51828479973442,28.552183337048344,25.204755060182812,24.6234448435707,30.383183252714904,28.7034851573712,23.94441693130873,27.04048572213369,31.27688731268738,28.828325076069188,25.391494476691253,20.71712893505937,24.671262638575755,20.591349169039425,20.58089882739486,15.258850598167674,14.857083049524853,10.287749896213429,10.448508868871103,12.83693033689522,16.5107373801473,16.953085477777925,18.456162412883263,15.911431446936769,19.803430579646975,17.44472965557993,14.5955942111866,17.91895710340199,18.791786565481367,19.333897480415775,14.453147500757956,13.942720670236076,15.730594261824274,13.709377831465014,9.21284965608293,12.879680801526076,15.092252609568044,16.942461427264973,19.483780863658183,21.048439763480758],[6.570615439779343,4.694945393891484,6.067151582019656,6.037271505227282,10.460618408542192,7.557456192364328,11.797301563591141,14.430233991892178,15.03453891751139,18.60375977496768,21.166039230106033,22.231369775558026,23.291504075076478,23.029362446383058,27.527107518629837,28.36124928170524,27.861098204361042,32.599214257794934,35.57128620070924,37.31368318797977,40.95892682663337,43.730690090554425,45.43422575894786,44.77664165101333,41.55465907805238,37.880401057891994,35.177706988267055,31.294163500671445,31.624080474225874,30.336528605842204,34.139596243567944,32.10282498338597,35.42680345590558,39.59396347668576,37.33040150590098,36.4007166266354,34.34208322578357,35.8461534691582,35.399684593780016,40.547219495356394,39.101957419536014,40.15595638049213,44.33504446056311,43.85956687331317,46.253086676987486,45.91736977231824,50.01906883769985,48.28106173039617,44.43636611975415,49.248685312541305,51.01371580906636,50.853906188851674,52.21722644037579,47.9157547925191,48.31263953818029,52.961448338253085,52.13786098307541,48.00967508904025,51.3745667392092,55.14301483131695,50.74386038047491,51.51284760740347,49.18256799114677,51.00919964858153,48.539063020036195,45.022510549415124,42.86549989374773,39.32815973757024,37.59558653551162,34.974890272926025,34.91018437088723,37.48923731291839,38.58015968525626,42.04655016988039,40.266651553579614,46.149323359533945,44.690436488608015,46.75213409586144,45.45155909635395,46.55983628278488,43.58834753336841,42.98946210180002,39.585258994801464,40.04536268104118,37.97624391757882,36.95264927467015,39.73568571347282,39.58551553561941,40.52609487668439,42.83061465770288,41.24025798296804,44.390197667558596,40.751645159601395,38.015951421159045,33.390712561468376,33.797825694701594,29.65855148962553,30.84605298284515,27.594666767203897,27.56247409150183,30.066063303424656,27.562819447966024,30.527531605887166,27.343065345418974,30.346682463648133,25.390126349953903,26.673454575884524,25.73149185978303,21.245642958771,21.544256586529524,16.992067453807024,19.564796733056088,17.1063680794822,19.569150794025703,21.574717266759976,22.698744407591786,26.477654374972932,29.502922195943928,33.008964557456274,30.55827113705807,28.23208305516674,24.81199921451213,23.134288613645523,19.852226187047776,16.291808539264817,17.497476039161167,13.797368482256662,18.01769966548835,19.76770895457937,24.49349275255612,23.846662492469,27.49549273897553,29.708629780009844,29.913059466358217,27.570763861849453,24.194808594674328,22.753079713029123,22.629671306197274,23.160797132234592,25.068694070780968,27.89717291632379,32.40291034221181,31.745990832682185,28.70882992277483,31.87258585474781,29.66011782340826,26.491225757638905,24.774145783037344,22.961092064864825,19.73700386251896,19.168411094715232,18.680019507184348,21.913006001473182,21.159641816973448,23.538702943058514,24.51254978870747,23.722201689837622,23.471733364511465,25.783707944572242,24.522587878568416,25.876751281288236,29.640565407461224,28.585432219406627,32.81868972940851,33.25999263975669,31.56966130953274,33.08673812459699,35.593752184499344,32.455495212374615,29.57946908515921,28.64207337097795,27.347644482497625,30.122300123599427,30.53563289042929,31.479459972918242,31.579768169712235,30.943112960734073,35.2647062686642,35.54661177408721,35.508964925370655,34.45666852977565,29.77296551458768,33.97230111055513,36.72807289163929,34.89809214746955,38.83608564946035,38.74258264939742,43.04763194371271,42.53507260361139,42.68571742669109,41.58758594353626,38.987245534006064,37.2233374422173,34.176040332588634,33.252345415589815,32.429964608018956,27.72470843667245,27.420325165258213,24.035435179876494,22.155856173335987,23.340959154898044,21.310937127785266,18.20751126251611,18.600026690097735,19.865385975596233,15.48007396627587,13.551435349277442,16.60762530599711,17.164349927839222,11.157541477798397,12.541868834014412,15.079742131727157,11.760604041817327,9.409887706540479,14.014221505815094,14.41813651840273,18.620080643676832,20.578610227356357,19.889581377792783,22.314794008419575,27.16573146217753,29.648661086607138,32.22274985360053,32.99083839111198,31.355999747290742,33.666059979767546,31.369830792675085,35.88184081495512,34.80732841111176,29.27187806605103,32.424420193307235,36.10542861046758,32.341911489066916,30.505978018741597,34.237029557651645,34.42096397023517,30.10764670690405,30.056108564901113,25.888737017714735,27.901327930578304,30.092618762438917,28.08041650425486,29.82107688216106,31.34728212875857,29.052056150072232,25.691152046858914,26.364717845338376,26.45183227572329,22.308419989597038,20.80163458121257,22.15063732357646,19.991299114794295,16.985103416460234,21.379276516086364,21.334131330552324,16.71351261385277,18.47702385874701,22.471226612932284,21.865783760408227,24.91395150196436,24.447236492855936,28.338011788845098,26.52518550608296,21.494585880569154,25.695898074857155,27.146249539734516,24.004432093709003,23.546188737608613,29.397642810387403,28.2152479566783,23.684119776089346,26.67354915909087,31.05453361939412,29.06010830041294,25.84168024418119,21.401044303381973,25.844046679068853,22.20409926452407,21.582256313395906,16.51559685158119,15.019230082144832,10.104073672387642,12.025242111805131,14.097190469194784,17.940663391617225,17.941251573202006,18.395050763198114,15.36070208550993,18.775695325967384,16.31959813993917,12.532214041433122,15.095549571609904,15.4698427180311,15.883314251343116,11.456155988924225,10.38435832108413,11.790824852096279,10.280379782725397,5.362365521550279,8.870392843923185,11.27253459766909,13.180002372405513,15.78110402755222,17.263890439066078],[7.794708693338725,7.691355287879594,10.157825393744565,9.33028827118503,14.191214523944412,10.024072702513378,13.77921380719616,15.979057984321834,15.461112339819975,19.13599886435749,21.14688060499201,22.35912290793614,24.111985449799317,23.274244133356827,27.705474606594176,28.982724135953347,28.816859749055478,33.45117614961901,36.483900192663896,38.59047855588838,42.164464193011824,45.22781342954983,46.801024314534,46.27308580341549,43.218858831295165,39.31102998989152,36.857658316760556,32.83228147014407,32.954292933954214,31.62669619302217,34.67504122633948,33.02267735956136,36.00789794929207,40.252478085032074,38.38864154975543,37.575770134307795,35.88157327562208,37.61366482319902,37.48151228866479,42.93650892653921,41.386244686814706,41.98439778172342,46.25088986979528,46.11073149701585,48.605960245438375,48.554235408898215,52.60856112349856,50.692685981720246,47.085061530104355,52.088945170354165,53.636906197613875,53.58941658025076,54.73955318963251,50.25404457419447,50.59396769320783,55.15541354971979,54.259449499118794,49.937940380601916,53.180648699030435,57.01644100875728,52.444976430327415,52.83872037705048,50.30608488448911,52.03325197884678,49.884404745802335,46.337953116508906,43.76794239892486,40.09544771519858,38.07085608941971,35.150095718746904,34.97086706679647,37.189572017026144,38.46825106075852,42.25959224486251,40.63323879073935,46.51702019108464,45.55058217936726,47.536894115825156,46.60791085722178,48.053721954434465,45.30292820246983,45.09388111014971,41.772168854643866,42.580362321501255,40.53176582406399,39.10588880831859,41.56411602494165,41.232871127357456,41.81915684352673,43.773009087790385,41.884204086492005,44.6613503618299,40.88100059580302,38.12903550461908,33.52762170752328,33.454457141463465,29.336018871880615,31.05351804152666,27.96630161866616,27.9649484221733,31.09684658929299,29.135260044993007,32.35847039315823,29.689035351697957,33.23221032021094,28.45482107506048,30.049709456349174,29.405404679424134,24.990499926235064,24.872471419008093,20.334205306178138,22.52172753313689,19.439852826350222,21.91206581967665,23.085912165560845,24.37051610309246,27.904352384489254,30.898662841747242,34.08648931333036,31.45865992003464,28.92728610093167,25.489411379550095,24.190454502621172,21.15721172322924,17.833619347449506,20.032693936725746,17.050033510898324,21.31669326116924,23.389274904188174,28.02484835539641,27.76196432658129,31.441565684738997,33.54618819269185,33.53379240615098,31.188200124418575,27.567157793475737,26.41970124933182,25.793918166589823,25.891487318114585,27.651260060509582,30.028007521931308,34.536586295706634,33.68073246068968,30.78516140280964,34.035326043059904,31.625353443376515,28.530289062597117,26.69620271967783,25.189083559514074,21.556015867596713,21.29154033081046,19.877084471563794,23.203350274848205,21.421435575105363,23.780254389824282,25.437378732090323,24.85898630609032,25.274124733626653,27.47148137832223,27.020837417795075,28.60191598205805,31.921321598666438,31.152146802422795,35.416549387026365,36.20853553449218,34.56928920100899,36.426234715893386,38.95482697875283,36.00472031996614,32.91154802090103,32.0869950051268,30.47349639600757,33.230431557241914,33.50960696765131,34.17769369733481,34.17115909136777,33.04384688805452,37.55313642926108,38.08475051080772,38.29336618361912,37.48065792486364,32.91570638028026,37.39983948193074,40.245377896191826,38.29551525825173,41.935707198171514,41.517119106418924,46.04049008074264,45.48942980829013,45.915407038133,44.98326301069226,42.45847404234643,40.892977724310235,37.94680579942931,37.16216932903596,36.482413581729226,31.774905321030225,31.56157762684677,28.229013236573824,26.249596485474967,27.422127121952066,25.19345502019736,22.215769855569967,22.72002993363226,23.72259117436845,19.279543512609177,17.64268689473274,20.37661921516353,20.4419224673587,14.625003879844938,15.823526707226529,17.820860698783754,14.144822346357795,11.846988130699872,16.1129635022807,17.170353087932142,20.97661459553701,23.615956509617934,23.21226617227578,25.329742194665826,30.395442962797098,32.487567885238384,35.48435880223317,36.310397525134526,34.92746978954198,37.29970606500296,35.102289690512706,39.721310281894496,38.626311070606405,33.238857896964085,36.432575729262815,40.14675406584587,36.41032692631807,34.65036230328686,38.40719368336351,38.55876133624895,34.23325930180447,34.251676438387626,30.077018216543138,31.996625913775233,34.137671939783324,31.966236334564417,33.51343569869729,34.75449877078757,32.421098906191766,29.346434057480927,29.674571061985457,29.449428001536386,25.54329362504566,24.13452765189967,24.899274947430264,22.46407132571486,19.83605034242544,24.038902281755444,23.42073011723943,18.598745090734436,20.78838439155992,24.722116633557736,24.607243073046252,27.88829011704058,27.772488056208523,31.73739801319132,29.702034585524085,24.98580650785549,29.40677678316479,30.72652718730386,27.5538685844071,27.465843043026528,33.227888768229384,31.82403460401807,27.472470903821037,30.675086652613206,34.88213765927157,32.67849929142757,29.5206845759501,25.03196561077702,29.19042546939179,25.31653326683145,24.57278718821369,19.574190743905863,18.591398002961856,13.764205676041321,15.162867418487485,17.657570723200788,21.459463221066194,21.770377365857687,22.484736531037967,19.544814960833666,22.92687175107691,20.24486769021597,16.564430758230564,18.65743976294129,18.64354613221815,18.576993046462523,14.792314301570297,13.413918032105578,13.73584375028143,12.383999245559922,8.05971810449825,9.837389128508505,10.883015979539511,12.964963786049038,15.304862205010487,16.98756394674731],[7.313824851543266,8.203108701426414,10.394632307925715,12.675522980148344,16.130341374801777,11.991347272640336,15.972270675546058,16.908704037239133,17.470292146326415,21.85811926300154,23.58598044753918,23.761587497912377,26.24554272372752,26.32217829050045,30.248804087550617,31.15440489361299,31.602877280936397,36.333785080165825,39.89483131614801,41.530903793970204,45.38216154389906,48.21891907933987,50.16706354944575,49.862811157259266,46.54994736247783,42.797172303997506,39.958492238276,35.91782134080524,35.56038306862536,33.61159958811674,36.822212949964566,34.37319636797038,37.10417578048433,41.63633808030832,39.86028167768739,39.599845252828416,37.37959117620186,39.84290257548971,39.78932158142843,44.87230074614061,44.05470162319344,44.76238293688835,48.821316459542665,48.512560300889454,51.242695600626305,51.06569636101396,55.06126043241846,52.98607401387246,49.202660363408704,54.01634068395083,55.41612463849766,54.99928592159997,56.162367210011965,52.09946806595881,51.92801722849181,56.623365534421175,56.19574915122093,51.83991152771401,54.825316393562,58.93655618997024,54.771770967332365,55.25483107877515,52.60076009070963,54.82573725237098,52.66189987301132,48.9031737650113,46.850944817354474,42.96008365202317,41.489535453657034,38.372987047883434,38.61324441676954,40.95734455544558,41.73030671676846,45.53525842369456,43.362123936621,48.98129447877504,47.88401050445302,49.42008567513859,48.424762724279,49.878787447251945,46.70653589488709,46.54151823890986,42.68053900241484,43.56208899758859,42.037314330236796,40.6320407262705,43.48826425595536,42.58850266582857,43.838668265441946,45.316717873176685,43.87757012373903,46.718489679713755,42.86524682251731,39.78373668386595,35.38351045335721,35.30806955808005,31.450503142694803,32.26309718260507,28.863666471415762,27.738451878794994,31.48059026566841,28.689737300932144,32.64183077075159,29.423223216017256,33.108615011763604,28.36105293773029,29.3166549127604,29.077447286632722,24.665731627238696,24.283965717055388,20.398027649134736,23.543656555786132,21.06226733863041,24.341727518135404,25.996467086368988,27.816390724655932,31.34528351678136,34.8841068907244,37.97584903704246,34.95839070706131,32.80163799465683,29.244702015709034,28.3521102372664,25.002931351021264,21.27666674235876,23.02155541410552,18.77762694402327,22.922557427568833,24.308925863183433,28.649495270214825,28.540014554357313,31.593688276258657,34.34877461503117,33.9862576487182,32.53492065477433,29.380236759709263,28.42802721437888,28.598883901376098,29.290749393881644,30.7989511385145,33.86813827316901,38.30748019170001,37.263888939609345,34.10738465359935,36.92897454517724,34.23851720104342,31.242914303483477,28.834804974366456,26.696638790776174,22.937530652716358,21.50171414085848,19.874001967831294,21.978246523419163,19.782354296526158,23.076143127243437,24.99484109786434,25.295097183368387,25.28392497061144,28.36476835928207,27.63370496172206,30.09637689728594,33.7771009398897,33.6365146363243,37.56103367343089,38.52278424539932,37.40926319661708,38.65477365551477,41.44544267748231,38.288284077108216,35.58043345251212,34.320279987606334,32.938257980684746,35.13157698683052,35.0147842131435,35.47040069202956,34.874280469416675,34.07469726298635,37.99638232395584,39.09339737123576,38.89010767654852,38.67956208640183,33.570247613658815,38.07590716970895,41.097356294834704,39.597379341851365,43.549014819276366,43.50821305442865,47.9433941308816,47.954222793737586,47.90416481968803,46.907923142138294,44.077607106828104,42.41844536578092,39.28692117555827,38.1156308344617,37.147935521293114,32.624896762787785,31.682087932044478,28.141669489634488,25.79569008574671,26.10322415135613,23.473319402767114,21.272837232468632,21.673674564089836,21.569625172250785,17.244552559640884,16.960735592144783,18.441813993297714,17.147299973316947,12.219310176528701,13.639575234212998,14.432771748631554,10.210960027003608,9.526058018492678,13.387251839160875,15.339397250755868,17.825981597395586,22.20608399829641,21.175616793732647,22.43982111542706,27.596394266362893,28.988031598575436,32.44439194039499,32.94681713158109,31.92664283949879,34.2865317552182,32.35745099510979,37.19346061763227,36.12547152934408,31.266301819981685,34.538627229064154,38.397367256894306,35.00696477208596,33.5472380126672,37.52526852673603,37.8517940688005,33.69589853044706,34.22925447934534,29.479145471392748,31.11584327202598,32.69394725710324,29.826749114922656,31.113008677124785,31.630200753472344,29.713375719793,27.015201771695626,26.341523243322307,26.003702957464125,22.753083393313105,20.989267728177907,20.88269153231333,18.35267130250353,16.015295496147754,19.712373383825437,18.561200895096057,13.707646897171758,16.243923910135628,20.025470106904212,20.504427202900686,23.901136075909324,24.29765247906315,28.329292539543584,26.139357031099244,22.07109974227702,26.764109848481326,28.075697449788173,25.129559974482618,25.788284639807724,31.273019675030458,30.04568055875667,26.377549033625943,29.78746596532615,33.67545884092083,31.759518510177394,29.099845552244087,25.047077162580692,29.381205280540375,26.055009238439755,24.271341964701325,19.96655517722572,18.20653629940352,13.692352404284053,16.470803573449487,18.919440664656687,22.69804252941948,23.05621680079842,22.694143203064304,20.204150625112103,23.178791052901694,21.207209812992804,16.226134169638275,17.437565537293118,16.266009815077737,16.883765884275462,14.19742109453958,11.00125770365846,11.079915144485847,12.085817215077373,7.297209087733031,6.303926033839006,7.617526532730024,10.587016940156092,12.41633609915666,13.560416681919616],[10.835156657092956,12.621943884373628,15.249538529113368,17.24450921048975,20.941707614304025,16.27721759145811,19.906260282748992,20.29353094465624,20.227175640837654,24.69725438315048,25.826909555032135,25.80664290718627,29.047558709167728,28.885339963707054,32.51900106297673,33.695045779947314,34.59933599381091,39.208853174398875,42.932238280309654,44.74475621290221,48.58455812308586,51.60019293586606,53.5284893978489,53.39350351861094,50.17118493507912,46.27654693393361,43.565808325321086,39.42970642852727,38.77976646460381,36.64750534620667,39.18824036140486,36.880138310632695,39.16812997825188,43.81108574710092,42.46130812691313,42.47910271174409,40.44969768305422,43.29712865155406,43.527278203174355,48.74620507883192,48.0346249780833,48.38769009574823,52.452190616605165,52.37523337724306,55.24422397743239,55.26333577377629,59.20178889454239,56.94399189266449,53.31320297579135,58.22670645344178,59.40521271035147,58.97526129365659,59.95990420251258,55.8784421764233,55.50894963572734,60.14353551213931,59.79547176633316,55.279261891707804,58.05985306939295,62.298745541097624,58.11795670804022,58.28695186330408,55.42122235123454,57.6952568416541,55.83037435261345,51.99994169005626,49.73795142114296,45.689979033871445,44.12871712431255,40.715482389105226,40.972037926531726,42.99221563444415,43.77905964757871,47.853100887790376,45.67711983601967,51.16201850615287,50.50004656167828,51.810042460868665,51.151140597218046,52.90888029121507,49.82685453906865,50.02517562743897,46.10288197793097,47.301440064497314,45.94663356595742,44.215560923048095,46.88660324969931,45.665643797538316,46.78675146019937,47.77813408479037,46.21514592557076,48.69057759719124,44.71357494892999,41.542546686062785,37.301352810967344,36.754224459657785,33.08700570353833,34.087871594970395,30.81745805783706,29.354296663355726,33.82932587588462,31.328714555048887,35.66789080132135,32.784516917306114,36.90718343807095,32.36248383365123,33.37480636329111,33.45970315618218,29.14256950922747,28.423303122833257,24.75424452859855,27.77828397905987,25.017902479123368,28.411294064395655,29.54459319533578,31.57348338309131,34.88642050522915,38.49279384958401,41.291779606782484,38.055084232823056,35.842247487258426,32.289653571617826,31.78821190684789,28.599443886243122,25.01665082268945,27.309607916816535,23.34535310585741,27.482423603724918,28.952409156228534,33.15334203892267,33.316356772002806,36.25208251905615,39.07216491835899,38.48710217199278,37.23094244179696,34.007220274437344,33.26106433665572,33.242934189638845,33.7556187047915,35.13048950036641,38.001420929995746,42.416835296232925,41.193114107332086,38.1016879251955,40.885556675321,37.990566557864696,35.09501448869392,32.48742994691673,30.4652137094698,26.432340654223978,24.988181384914242,22.602533560813505,24.312207839915377,21.03486445268253,24.513002515696517,27.133230552226518,27.903835936242828,28.349540411480884,31.51495164198301,31.38360778268857,34.20169945627818,37.59982923939428,37.82398190462151,41.68403636315318,42.94649421908587,41.97303630504025,43.33502881089075,46.1879946097546,43.10623384136418,40.32434133681716,39.06704622398267,37.517765573667475,39.58793909832835,39.28378680626806,39.47301108444593,38.642060545995314,37.53268545785681,41.406901281009645,42.86855409727931,42.756676735884774,42.8984401487269,37.76956813047278,42.472744167427436,45.595626256117384,44.11867334386918,47.91348644400746,47.71351117276349,52.29060187201344,52.40224049182618,52.44715067186408,51.555094118437076,48.71453942641107,47.17558111034313,44.0727569404794,42.909230885535585,41.960159724269744,37.47437796056261,36.43583408110913,32.877602335346765,30.43790988808793,30.50762087809188,27.716453407919786,25.821620461031674,26.207013568915713,25.676680780286343,21.515968950242094,21.590331258251798,22.56086202971323,20.673186621742907,16.426976169641584,17.548920621841834,17.549567631405935,13.456505503686602,13.196402271832113,16.0840746112062,18.68190376075637,20.279171212468263,25.553305817940917,24.706319581615297,25.41281045730129,30.64787225771298,31.376659018380714,35.35811882081828,35.85715503034149,35.24173558012505,37.64958273808184,35.96862380919144,40.88345803021825,39.77168239578953,35.28530128526315,38.6063635920965,42.45880740436376,39.20015049788074,37.93303986488639,41.97801550032289,42.26587034699812,38.15917166982758,38.93402896091638,34.060574139248,35.60682147973852,36.976611886808456,33.817417612504876,34.87740068816752,34.901547580022985,33.15568302251456,30.851656565833082,29.571833201545147,28.96043117787012,26.246524037373806,24.48701858944039,23.580944450534705,20.91618561566982,19.16252644626867,22.21743633984547,20.35211791545722,15.700777999018225,18.49042140229535,21.865486451057823,23.030900832321706,26.5761505761908,27.500110502542228,31.47190667570297,29.02588584378791,25.59884763889836,30.44435833809707,31.547273011686652,28.68853064866346,29.883480010309064,35.107478488819375,33.69252610997623,30.429678186768204,34.061961993791215,37.6350482080827,35.59175643685244,33.153928439499786,29.206275162777263,33.2604549110504,29.896467721902557,27.77418216227003,23.798812786893233,22.376544783206135,18.11942746316573,20.61404662702502,23.339636434528042,27.051284642250504,27.69016150088527,27.3610808069372,25.083285074539734,27.998681373854392,26.038242311778323,20.986394307087156,21.76072305515892,20.119250681593275,20.52713850929934,18.608737187330615,15.155812744621947,14.375165530873032,15.915552300534307,11.899560293000969,9.529573418513108,9.006159863073407,11.856551631120311,12.691423377970347,13.689573980080297],[13.302539870494002,14.39977546185441,16.516064457588694,17.21961610058905,20.87006947183841,15.259695840911673,18.253580902314038,18.395493836380037,17.431521646600228,21.747981114424594,22.462009745611596,22.595676054145358,26.14483171977523,25.619889490648493,29.104585634091563,30.551737755048112,31.662888590228093,36.126238866179605,39.889415676242194,41.90891865592807,45.67977512598367,48.88301929510076,50.73317718605347,50.75275143594968,47.65102945728875,43.6157015983997,41.087096651355644,36.87956606383188,36.046118231906476,33.93710381608171,35.90833713363245,33.98169394548693,36.06712453422427,40.660308147475625,39.574275545895745,39.60687754061703,37.93370459682409,40.86323318154685,41.362404881103906,46.83962282995851,46.03687081629219,45.96426134911012,50.066689429061014,50.30041964716809,53.26390541986104,53.58768364727662,57.45073579562715,55.001840531444145,51.644861854432065,56.75496779638349,57.690016517206274,57.419067985676726,58.17589025143211,53.892605904490274,53.529024260692815,58.03574645848568,57.5712731099913,52.9131516754457,55.60376751724801,59.84855021121853,55.51416421477252,55.382240706449444,52.3885395576952,54.56523676587512,52.9509616878013,49.120940824923125,46.586958617893394,42.47153966119122,40.772783027775816,37.19348967541248,37.42839927182229,39.246022476387346,40.06006634691843,44.282272611290246,42.19967600387049,47.65198922477605,47.31249135817459,48.605430590915674,48.21276560768127,50.20788790180486,47.37872878832636,47.89570525252077,44.171352364809835,45.66852122787447,44.26084082266295,42.163834115186845,44.48815646524486,43.20384667893207,43.959310079758154,44.75517092328257,42.948178100001634,45.17154388423089,41.15143996878331,38.03943824217217,33.82733942548609,33.02106393759542,29.38805444629501,30.793912142566,27.736219503927384,26.62752423803819,31.265177721605607,29.46766422470457,33.70487713948811,31.471650690472234,36.003463864805894,31.690358109176596,33.29829291843741,33.60875871899512,29.43079514364969,28.28734662757679,24.45382445053195,26.78193671056099,23.441632564240276,26.721474018892422,27.151222098896177,29.337489587007806,32.37297545478624,36.035360572617684,38.49004824970145,35.08579972580444,32.84288558623801,29.327864836964533,29.242669783337234,26.240339600831064,22.87890155862162,25.887816990893647,22.664420893496786,26.787725688442013,28.71602404388874,32.820354614839374,33.56771457977922,36.67841541428591,39.15873254769812,38.281176171258636,36.905952701998075,33.340158838583186,33.12095214203247,32.4722221354275,32.59949669496637,33.66843564777835,36.24951627433197,40.57419901188193,39.07449689909825,36.096092105620116,38.85446729516335,35.7903794594867,33.01022882887271,30.34152999594719,28.66922414080625,24.417048290579682,23.501951729735595,20.532719201269956,22.7022103905838,18.98025236896966,21.950106337352143,24.8726462464649,25.510564610929645,26.572119252652875,29.353937591076942,29.969473890784688,32.80448838897891,35.6995704726244,36.195208949040236,40.03705816868625,41.69830730246861,40.907381977263974,42.626708403450905,45.60167203463468,42.8299153727192,39.7676229408953,38.55094195310647,36.55983293732344,38.53564907394007,38.090396953022044,38.0104725859194,37.19438923119864,35.58590522733467,39.72005415738277,41.26485830144109,41.48702114120672,41.76832237412163,36.91232578782007,41.92748475191706,45.130004182746895,43.438567487818794,46.80679065067446,46.21429538794381,51.02734729329538,51.13691243265453,51.5030506471933,50.86428602403645,48.13364404054337,46.93183582475618,44.01582660357348,43.14242929484488,42.58459408081077,38.09605000650736,37.40349288406608,34.16210187680951,31.457963786567078,32.193322512704164,29.14679692082142,26.94667701931089,28.01102452279407,27.831926375699165,23.316996491839767,23.491337107145306,25.118178699743268,23.32007760362965,18.829274619100556,20.431851980002396,20.91761123637242,16.558890530585586,16.236925913792035,19.74601002992938,21.979066271523344,24.099387174392973,28.86053404291289,27.92525844269558,28.959939339438577,34.12822413412852,35.12781951340412,38.83919980198245,39.1338986721995,38.192887023052485,40.35345266383069,38.25532234435922,43.22712090700386,42.446484854567295,37.637842122340224,40.672241903964164,44.78187996106553,41.542960586956696,39.902477165287,43.769071517267044,44.39228809407568,40.265194937783356,40.37479216649223,35.79137225235199,36.87713710254605,38.535043223561935,35.66735794302423,36.43148692526498,36.69568939496312,34.40083962831572,32.3018129757636,31.54998216777901,30.46977596695448,27.475238512655935,26.39762142587448,25.632484832879175,22.728592466042866,21.363805198694106,24.9458053906338,23.052121719103567,18.431346474043043,21.768854315298487,25.261040739236616,26.35725435152907,29.637002287182302,30.100395743459558,34.277658089104534,32.266611674727685,28.492926271429063,33.105814626548614,34.607861645358994,31.78133167530482,32.44471491523485,37.93253243205767,36.81389365234862,33.17281355802882,36.5023882170535,40.460399355758426,38.54664895758074,35.84639754948034,31.70099323424621,35.938713901379515,32.38159789835319,30.770938345296244,26.360839950170853,24.908566870258483,20.280602089052902,22.577048590817814,25.142410358530263,28.961878321410804,29.257614193420366,29.151178534327503,26.169526914997814,28.927990787415727,26.28378004943588,21.849505239880884,22.36590531783851,21.075040919383778,20.479579268927775,18.738031859116862,16.247063573977247,14.573406148882418,15.046016110229152,12.209497582391798,10.125244770630458,8.316997795029055,10.392241903742363,11.431231056535768,12.96116555437161],[11.80197729709259,12.431714041397695,14.569167634108139,14.254538170176529,18.348855320906438,12.849629962912736,15.894323897512038,16.801980060837398,15.543459147562368,19.575341999586808,20.66454091769937,21.397929952164446,24.335889717674174,23.445052107726806,27.334235178852897,28.872370776502727,29.516619880195062,34.01134513060408,37.47370500964745,39.66134138331354,43.31664639983877,46.56649202843596,48.24849468749895,48.08801135376203,45.06797437924882,41.0039235988455,38.600858795455544,34.421349592977364,33.92787195173819,32.17335743843825,34.35058329020824,32.732810118307455,35.134064230796135,39.569776644428046,38.26095784032596,37.92038709139949,36.4034237050779,38.84862689322799,39.194064661238734,44.79717325971499,43.61208421915898,43.639075882899846,47.848331110306574,48.057759236781926,50.856916433775496,51.147511933268966,55.07048072454092,52.77603455335989,49.42021093036037,54.57650171966347,55.68406052226287,55.579572459974685,56.41631097959032,51.947353812565865,51.89921546732155,56.38282115067374,55.672918736890736,51.09155449711108,53.9928460800611,58.064927623708606,53.54275437833005,53.50214107877762,50.64604620562006,52.570814902209804,50.836452184983244,47.12604385818767,44.41914199101023,40.45609780425546,38.51102947791984,35.1229231732217,35.14053086511449,37.025801963214455,38.09927587547538,42.233056317659035,40.41378047587799,46.07145549564659,45.61916004590884,47.222895074586994,46.72057573759657,48.589904557322434,45.905469336057564,46.246750053040685,42.77603719302607,44.102633093658106,42.38722038177152,40.41876110918217,42.650958058262894,41.75770678091474,42.26555181611489,43.488156876887565,41.512851107950546,43.862061229463116,39.90876629117708,36.97680472607539,32.57716604615779,31.954340038216763,28.083436497453935,29.871751681506286,26.883069715881785,26.4326448397411,30.508856282608466,28.933382506456113,32.71192871383064,30.547344115737044,34.83852928768713,30.39826791873737,32.226571975071835,32.21806402430665,27.975321183466495,27.101053314611125,22.893356487611385,24.900985620913854,21.390181805783197,24.293823372607974,24.700154292728055,26.57465011930651,29.709353520839045,33.09968426715912,35.72486109578261,32.577294357030766,30.154889514453295,26.67024022691796,26.249722353743778,23.323923835076016,20.07511558231847,23.123993839290534,20.327022068400343,24.521098917109303,26.699268463005936,31.001897762216355,31.538373373592382,34.956787051779116,37.15938953592655,36.54427454561508,34.70412144254214,30.972710106705744,30.56037194447741,29.656359872536687,29.59294611267259,30.838644227990347,33.17811775865385,37.55364390543213,36.21850003628777,33.329352966139204,36.31373392895482,33.45289907420906,30.57334996716043,28.232867802897644,26.787162250646755,22.665797688754566,22.259382961563393,19.675055069386573,22.579348996155147,19.50121826365,22.007381772586196,24.526369597847427,24.569970421766417,25.630517600526414,28.010811115263415,28.493363383515256,30.8080165472132,33.67845419922207,33.73764214198424,37.77272177684454,39.22501461151901,38.126697317619865,40.063466649199974,42.885328752344215,40.157144788158455,36.96701649111929,35.946373099687314,33.93671025819931,36.22307398394032,36.03547878442279,36.16837068194882,35.70784772081017,34.08824121861053,38.51505661045969,39.65936958781453,40.01465106720633,39.87748528590825,35.24404740509578,40.16429808212842,43.24780568786846,41.35757381743023,44.67834831940429,43.99551742088385,48.78800636866883,48.595170195781115,49.125767166984545,48.45565510482884,45.85873231970736,44.62729235475947,41.76765562068045,41.03905306612632,40.56426854680701,35.976815864200745,35.605480029947145,32.421643166012394,29.933864589987692,31.049989316499136,28.25323683022533,25.636617570702608,26.673530816355047,27.065214131797724,22.456700304241007,21.938327971448658,24.172279570768463,23.125135699221115,17.99899858355882,19.554850958903387,20.72970756842808,16.50808352605818,15.37848923609255,19.32549202132086,21.078712662700294,23.988626845056945,27.832929935972516,27.1263314693266,28.670431802670464,33.82243491198545,35.32332436541426,38.716314346804964,39.2003756507409,38.007710622264135,40.20898033293224,37.96071066268534,42.81538533388969,41.9816320627237,36.84070302832077,39.875506334929874,43.893260367561986,40.44171544272736,38.65168803748293,42.4273454810764,42.937019426146655,38.71465617358626,38.60221975799587,34.27430315363007,35.5777919231336,37.52645283988343,35.02147018481126,36.02856781238056,36.7641771272862,34.28735740382742,31.836124081693356,31.66896305602185,30.806421082308376,27.337107969283966,26.30455823219404,26.190852117992282,23.38697793776098,21.584688849869632,25.581989717929414,24.17631244774511,19.40094613385802,22.435646748051212,26.17515232588626,26.783308065914415,30.045645774934403,30.17846068757159,34.34078869115616,32.39648114500637,28.143558443854214,32.65536892846649,34.172885223194235,31.19312414703428,31.438114855363665,37.11643640456101,35.926036604473104,31.896251629696362,35.116476820383724,39.26939923069945,37.24035386432147,34.28194589778461,29.936133019647727,34.1550896106639,30.39272603801843,29.26200093207102,24.51396153716912,23.29451550691004,18.500042188365708,20.344969194566875,22.86311356497039,26.68750876761667,26.921502944247106,27.238956065822915,24.076805599681496,27.042782534779963,24.14670254127799,20.214126565636175,21.273899734703154,20.593438829990497,19.882955640452614,17.352574913141584,15.569339863781455,14.390990148221794,13.728327574619458,10.673174481445278,10.113835730959547,9.122935433228754,11.045182511708111,12.803110731661237,14.584643962877495],[14.590561555535645,15.711346071004447,18.42157933037771,17.47339940222639,22.095237019990044,16.703288244382417,19.43086686241997,20.437705522114843,18.429481287236168,22.02042769767431,22.703090352737355,23.76786605063647,26.889091258377505,25.35711754566678,29.16558408314737,31.100186963196276,31.787703086357723,36.058479301037366,39.315361794367575,41.87669037555857,45.33390699764335,48.81677544535086,50.2619513827973,50.10315165702045,47.32283011332797,43.109806364043216,41.035907280501846,36.850660760775035,36.391523114578064,34.82915769310756,36.360617022028855,35.279518909673506,37.421094052022454,41.758929497257284,40.75973368108577,40.367162851672404,39.26145819950053,41.611520763130294,42.11067028760899,47.928641999511,46.46951401267297,46.20476716583346,50.488667643870485,50.93978307943747,53.69289614187474,54.16323091570521,58.0609622553299,55.74389515044992,52.584521249965725,57.86172001894454,58.90211680024857,58.958080761606055,59.67416970457673,55.009798367945244,55.06877168008268,59.434759745829616,58.56024341207658,53.904685366987685,56.77015224536155,60.78303476144149,56.06670853325456,55.74189639236585,52.80063671819705,54.48189633177588,53.005802875047884,49.37986879472653,46.246589929249986,42.313261722146315,39.996601644963,36.5021026201869,36.28287192312302,37.75902157040303,39.14683448534665,43.47852541745123,41.99211979696752,47.63163525171502,47.622712346379835,49.26765068996908,49.07487256126851,51.161501108149515,48.765887339054046,49.337674185851,46.082430665238014,47.570310289703684,45.7473373929103,43.580491905314965,45.486184680194384,44.63695079211808,44.72523292577102,45.79548962758898,43.50267714490198,45.484446501347314,41.49788531511007,38.696896143363254,34.38101623640243,33.34396324024219,29.562095871819928,31.973731255616133,29.296264967117313,29.103187169350747,33.40501879564531,32.376758057012246,36.09277487460691,34.34350713883685,38.790743545408695,34.454635806043555,36.46373491508041,36.443989656251894,32.21906500253422,31.33869179960416,27.0615326080254,28.756728999011546,24.975502372907123,27.56761839235565,27.429243276417846,29.138421378766804,32.0541551589199,35.1222311809284,37.54003502410378,34.489726601846854,31.85335219999031,28.51951629315803,28.19882255734041,25.659248234431814,22.826997126790573,26.293199083526837,24.126126616433826,28.29829714210333,30.680731090652195,35.01883472873878,35.530551796631464,39.09570045714525,41.13484623331008,40.59157283535445,38.51645379273414,34.62897865818002,34.15042903649266,32.907377527668125,32.50168719910007,33.803257575542915,35.620404716740715,39.97096348687219,38.650046265943345,35.98037906904847,39.119398058935296,36.29932838970089,33.480134053341324,31.311147049489378,30.219054378828694,26.05738212918088,26.05401695215945,23.15797264615202,26.168354546896715,22.597425802564004,24.82776600358144,27.693944949699873,27.717928939036177,29.212421767746367,31.285393413177232,32.22162415962999,34.37778680747481,36.91108818287227,36.90247125140277,41.01229895129281,42.528595615522846,41.24623477955973,43.491409622355775,46.17876073546057,43.560796180838764,40.21297837440505,39.40992387132547,37.28037972844667,39.744460039226006,39.634855471013935,39.71414829922199,39.353967460922824,37.43434332059087,42.03196398493407,43.16452318382101,43.72966354223443,43.54731970194761,39.12783189148133,44.09974533775605,47.14811852533591,45.11093802593074,48.227982610615456,47.30360494342524,52.18231196247137,51.776713237425135,52.57036316191067,51.96872312979628,49.5009577301638,48.33921100933341,45.556678261556584,44.9500685679038,44.524151267339114,39.880412225168726,39.67405468675673,36.46545994894513,34.1388251756867,35.26958454159661,32.584327535378335,29.911738201091847,30.769693309821218,31.23809301806067,26.704430459015757,25.8402987383696,28.064046913179762,27.165769470473172,21.970057583871935,23.16830797028199,24.26047915595933,20.219786240363916,18.676119438011096,22.22242545478093,24.137404408422334,26.989908380311643,30.822872273310075,30.53445569135646,32.03468682306671,37.2878296263917,38.633124586990085,42.26135636152123,42.965019566715405,41.956370817351335,44.29170873902834,42.18478715584196,47.01806026485481,46.039698904292,40.951147256346616,44.096941675045045,47.99630512148883,44.441017493432746,42.74407233776272,46.537235077977954,46.83955535489253,42.55517245336742,42.57571422959391,38.31206406417466,39.82785908374807,41.81663265831487,39.32167058703064,40.38963491386274,41.0634948416442,38.64146356016876,36.204460230344736,35.929367870111555,35.06505938789473,31.691313892400558,30.585728326581815,30.323896368747715,27.507378756851185,25.742467099621482,29.520197858151132,27.93625298261915,23.178364837107218,26.08753616758345,29.710241963504895,30.468493024719166,33.9056954872016,34.275270882486886,38.36745468914639,36.17154218919358,32.06177405151407,36.699775744892335,37.98061042808586,34.90117066052267,35.33522598588856,40.950017134656086,39.44109367295569,35.44834094740251,38.85591699473479,42.85302482989412,40.53766953882856,37.55995372294005,33.122841561428025,37.01413514587089,33.013283870926756,31.963227782971238,27.251660419709932,26.58421243614953,21.89599778658455,23.13075298153856,25.906267386882543,29.647840315953474,30.17888855001603,30.90565526084574,27.93056249754754,31.084166265707527,28.116872983392014,24.417487282368175,25.632763326297063,24.977266038097955,24.18490782784119,21.663378909842656,19.93651954384147,18.697739769346324,17.922366163253685,14.986911975549647,14.366242732558021,12.960135656558172,14.647368312918964,15.94416324604942,17.622243042401134],[16.732825029762225,17.102344644866346,19.12227974417203,17.02676261120285,21.332714894641605,15.65172168230569,17.576967165571514,18.654379050851976,15.829526624719682,18.87997965897914,19.348457731622748,20.864351464195206,23.80131496485816,21.79512700562565,25.602052427148795,27.770431724704927,28.383856261552804,32.485378339677794,35.61139110325829,38.37118341684966,41.70235187733646,45.31415819369827,46.63407289239959,46.53141426268149,43.88474157700651,39.5902804517689,37.722507749599856,33.544421702823804,33.087192845167785,31.731269023333663,32.89855883482582,32.281301261765655,34.40208759509721,38.562869137323794,37.65344331613765,37.09687027788065,36.348139298008896,38.51270765624993,39.149298886159215,45.14552500791115,43.493065780496245,42.93990065674821,47.2560486793843,47.92288921405555,50.668335674833266,51.353072870517344,55.184105942664274,52.79429736406224,49.8651308619336,55.26359490170267,56.17715283296713,56.41178644475665,56.98816148319617,52.14099307669924,52.33118346921246,56.562305477977844,55.51047508235986,50.817022023103874,53.6864070312738,57.60479838108003,52.73235216702448,52.23755878941541,49.2826874262935,50.78466044890245,49.43953346586091,45.8835381871838,42.507515167569856,38.618082733465705,36.117118471608336,32.61070180678392,32.285682767526104,33.646056529414544,35.14973875677759,39.5168567122982,38.21817660074733,43.894466085618205,44.05262222346074,45.820231195458064,45.76067054209696,47.94030788181134,45.81186710852892,46.533923131302124,43.572754789456,45.189678429733085,43.223822529821895,40.86000512555292,42.44359125812625,41.73197172418773,41.43669781496445,42.55814987920682,40.032045476136254,41.88821560548222,37.93777841873279,35.30202289932806,30.962217528901466,29.85059175532588,26.01732542713314,28.91384343906972,26.503819153714154,26.953527874042326,30.952275501945255,30.581867683985624,33.908163012013915,32.713004541797666,37.2588194076018,33.13797898131927,35.627448298663836,35.660825026499964,31.625066551074266,30.549407914335514,26.166637248801035,27.137100454803477,22.976723970081803,25.208807447459478,24.455952801014327,26.125044099266173,28.775980084456105,31.751961373602036,33.91711077827872,30.859386935743917,28.16087477139049,24.924231634184718,24.846105264633664,22.572633503703653,20.10588626100148,24.086719629358377,22.79829759442094,26.795793140713727,29.54510016845976,33.75290755643905,34.64704870240356,38.36379530649241,40.015226174606845,39.33567799176047,37.057343629438236,32.928951850806214,32.84471730821324,31.041550741647825,30.26799553650089,31.318967563941637,32.79092189346251,37.021446815820916,35.5315799771759,33.020475441556904,36.166225012458646,33.331476033090546,30.621245370288833,28.587972441379883,27.911027519060212,23.781238185882877,24.432987186319927,21.41717994635297,24.981037516630014,21.61799365716649,23.105123862985746,25.856423512673555,25.46896338088286,27.381521148997994,28.901891773159683,30.32950775864665,32.22664908186214,34.299070818735935,34.341159798552,38.43606360601515,40.175672152808374,38.97261518572995,41.53294388241478,44.247485289345896,41.93323557162816,38.376061441488986,37.666239213103275,35.20644201329986,37.644599377237334,37.51493921708265,37.46477313875474,37.268580806719534,35.001771531416104,39.84436641132657,40.848531038017796,41.71146530753277,41.47316167303341,37.42203737755294,42.51398196597159,45.540471144239824,43.29628562225824,46.02406896978521,44.774409769165956,49.777193972582374,49.28030372453201,50.36845044400381,49.966129406779515,47.648234430603786,46.76151509107333,44.18236493746199,43.85941168375934,43.78162749066506,39.18735820443728,39.34329992916871,36.46910650820735,34.03555758826133,35.76311599183064,33.010229587388075,30.061167418643628,31.41345087930656,32.27535405655775,27.57512518135775,26.681426183976658,29.458511264891015,28.803734717231507,23.46290616886603,24.992441478888804,26.52609452886521,22.406108984185405,20.850536736374842,24.840481411668023,26.34140844905144,29.66198187629434,32.886897240512006,32.48746981266495,34.33115290147855,39.461123452962966,41.166564975561116,44.434453557141225,44.99178786916457,43.6362272012667,45.758305994277556,43.290823275544966,48.08612182464192,47.37268550909386,41.979154844499,44.85426902840833,48.90316429463963,45.34925841302625,43.32134632214316,46.89808443570253,47.462051361647646,43.19538512486303,42.596244054849905,38.69818432508745,39.868458993685316,42.13798214778051,40.014406580954386,40.924076728434805,41.93784929987752,39.083990466683424,36.706711667245294,37.02385465083473,35.927995491027495,32.24682466372167,31.65430793187387,31.723188551626098,28.8463636407006,27.223889686453905,31.42319222100302,30.02356579945581,25.305123736098093,28.43831538600369,32.19667983690279,32.737510523076985,35.92689050611847,35.83475856351078,40.03435680499442,38.23341607183234,33.76402388698438,38.123026156597646,39.73030201142918,36.68693250973637,36.57394695203816,42.37993471312202,41.16076228571407,36.82074745954618,39.87667685513955,44.21012534675133,42.05458070100395,38.845563711913755,34.298733782448544,38.33681424440677,34.26277401962279,33.73676333503712,28.71825490730765,27.969680614878587,23.13302740805658,24.18922624785803,26.65285938052335,30.370184328753542,30.530208208396164,31.44903633547486,27.93588169280589,30.899968311240016,27.420104919587878,24.491622884486556,25.62290462336407,25.43647371835335,23.96603566938235,21.42889784264477,20.683104724381735,19.13600296366185,17.29369577838994,15.44771160688174,15.49852657175859,13.879322507302582,14.842098177100024,16.399545052639997,18.35707910993091],[14.942646325079005,14.771324162555949,16.37258365985337,13.917035996432146,18.10898154169128,12.53146921191115,14.51577692207719,16.02080848469336,13.418979883188467,16.51303828873556,17.50029043798084,19.19022204118332,21.612717490426824,19.770756686869795,23.902990512113625,25.869299979982657,26.1588446373014,30.430427678397937,33.503043125443796,36.1310051984447,39.522610180648826,43.015625743998086,44.387137483666706,44.170359239319346,41.41673544005761,37.192873759651256,35.1901550201902,31.026652875195996,30.761914155658857,29.501453674545406,31.21083239561453,30.42756205763936,32.893019825868755,37.02327883411625,35.78685658130553,35.04701708778328,34.125507425097545,36.06244267780044,36.508024921548966,42.44402481030701,40.73555603649016,40.430496997516904,44.766300971420605,45.26287340164043,47.94098610635163,48.48852756621465,52.375003658141125,50.09158116197907,47.033265766312255,52.38243937257379,53.44132512029862,53.66698358561563,54.36762244077847,49.54029199567387,49.84350900323934,54.136547969440905,53.051872769449574,48.45107838767274,51.464441825867446,55.32358619329505,50.46744223478661,50.210058109649914,47.39013864116089,48.90331850159846,47.31924166862925,43.77778187472116,40.572766621608565,36.7543093443627,34.34057100243647,31.021113469292903,30.71306256125423,32.389540365092934,33.84963599850212,38.03322768463803,36.675708693312046,42.48360691712159,42.28729867065386,44.20560672763432,43.88227415855954,45.84806515099504,43.61519041019837,44.087528308976445,41.13369688362966,42.54949663337341,40.47600001594149,38.314878318843974,40.0536206887594,39.53988094327131,39.37359916761547,40.838963725338175,38.42577820674857,40.59311562983005,36.70646231829687,34.09039827352553,29.594468783190212,28.866500049967545,24.843221737416282,27.545058032140194,24.980404448820863,25.62375176781338,29.157095026459956,28.56471052656275,31.66526926107998,30.256052918035746,34.55411061789169,30.32050062747575,32.809394759761474,32.67257681322107,28.623742059480197,27.70834023666689,23.200558696091715,24.13069219436976,20.034700172637816,22.190562104206926,21.737029234207746,23.303980098322892,26.16583830542071,29.17559774005989,31.594848733004575,28.635165361381734,25.945402745145476,22.617428494697933,22.241005900378784,19.767728869103937,17.124384615526676,20.91747692781515,19.596680365138337,23.608362587536188,26.382343020063686,30.65591387085116,31.441096379834995,35.2263650807123,36.810847714124954,36.24247693593722,33.84340057400003,29.72030891513377,29.563885992852512,27.797656238184416,27.100379780757216,28.22862527638931,29.862179253726175,34.15382648779093,32.75997092896736,30.163220968906817,33.362064840076194,30.626845202835252,27.813734983743835,25.882169387301555,25.135454727067327,21.125637279252537,21.85587878894702,19.27078819109254,23.134329416604654,20.427840202420153,21.839821289644185,24.13983772990116,23.436337245049618,25.074537046288036,26.541075949117488,27.61354498405004,29.29081045035002,31.549894181758315,31.365418630926012,35.532916357738706,37.1036895980089,35.82356498666923,38.32675438834024,41.02681496149742,38.67044187988348,35.13586956858615,34.4170684287871,32.019924542827134,34.53854832718655,34.516208995145,34.624860680438886,34.57286669390061,32.49107824233861,37.382846733614606,38.1660748659278,38.97083493593684,38.52102112991677,34.47564328797099,39.46636127764605,42.43920893284221,40.176244061748086,43.002633193259975,41.854537557946635,46.78821172470036,46.24330676359898,47.26042452191207,46.7941548080111,44.47506589133962,43.52612466897971,40.93497037307673,40.620207591140314,40.554801457090214,35.956508581879525,36.19448583233957,33.38460138465599,31.000365231935998,32.90639258780482,30.252370942782246,27.15076476155282,28.573691505489446,29.676726773457254,24.965268800707282,23.913801588719252,26.963825200693826,26.606738734033602,21.124228683659148,22.77358477689868,24.636005519005224,20.596480089899412,18.932679256607216,23.196294702159744,24.359761014701142,28.008733880214482,30.764145028095424,30.26705255420706,32.3493474559093,37.366569696399715,39.365308166630136,42.34550414050779,42.8778256604947,41.32067984393953,43.381850417913,40.790571070267134,45.509774025475025,44.84451955006584,39.299230787961285,42.099674172102205,46.13879046837987,42.55329691604572,40.41643534934273,43.91908003180168,44.528446241429194,40.270387479445944,39.49192795486161,35.7183471289593,36.8816031983152,39.26285089993086,37.33014918956483,38.32623832954316,39.593490593233994,36.65194279229235,34.108281393897116,34.75878915359629,33.784902173637896,29.8652044046103,29.336449538326903,29.78407283850471,26.999533478876685,25.1864768468908,29.61549416839534,28.537526556425043,23.81717492505711,26.826464480487356,30.696780340865214,30.941367427528085,34.00044144033932,33.63961449591377,37.826488225030694,36.19730876107852,31.480744570545095,35.67820173050494,37.398029541627174,34.36221918668639,33.94830093252919,39.828376309773915,38.74929372392291,34.23819317960542,37.11299702671841,41.59258089657553,39.545425755508695,36.24259990497595,31.682401573082416,35.84595396322808,31.827854539295842,31.51479163550903,26.369782002880264,25.471358699259635,20.597885891604296,21.682683467895743,23.931727111357358,27.643100673185337,27.601347323311405,28.52786372518432,24.85028255218317,27.787470553154836,24.227920020386478,21.537432522361783,22.84855352147126,22.975683152641366,21.50159804893511,18.6027534216705,18.276282703751193,17.023946684007175,14.65291764299655,12.869637351265629,13.707172329436089,12.659955721188187,13.582313859214889,15.590814793209507,17.67507876762693],[18.09097199332027,17.408003176778468,18.496708706549967,14.73684109366282,18.598988713051792,13.438442280760905,14.318077091625007,16.22519505546301,12.721617236918137,14.615627396593233,15.509661430211855,18.055017770829345,19.809506800388245,17.121636904956986,21.41186208502401,23.704732042412196,23.61114675664064,27.616033198208072,30.284341461900343,33.270636967807576,36.403349968246815,40.07353093318855,41.171381820257835,40.8984775551546,38.38417266806657,34.05807814827638,32.420399593335475,28.326292061849315,28.293174151590225,27.514251687720556,28.838959884484748,28.795199376341102,31.316309394378155,35.11216167046999,33.91171540637432,32.80793257767805,32.4019337417464,33.842031763740195,34.35184132697172,40.50146832515254,38.35913383100123,37.78742334536034,42.1991519586432,42.92282629664469,45.474743001866216,46.22810282608734,50.06096792581548,47.806588581144666,45.012056657254,50.480925851257446,51.50138915250563,51.99660445895187,52.591077091311156,47.498601146056096,48.10318634423875,52.214116524420746,50.82035412843472,46.24289560432205,49.345051937088506,52.99549675319149,47.88767827204281,47.47304495060643,44.71880807678794,45.86893990149642,44.39436522032491,41.025838681622666,37.426454216614,33.77764532262209,30.96856554474307,27.770644508586596,27.158119030320506,28.66693907222012,30.473327017700637,34.64392934757501,33.709279429858945,39.62150775944749,39.60257083023658,41.79902677241761,41.59812552805265,43.60440097693188,41.764782780689465,42.31590081131472,39.828470486756984,41.28353501909698,38.924757337864,36.645355303958176,37.95583621289507,37.79585223448749,37.06384439541497,38.768781744810624,36.01459626974365,38.04380227914777,34.265980205902764,31.96936377601817,27.441473015294036,26.690533164271837,22.590707695505547,26.029526783055882,23.892079513963186,25.466797043385064,28.382709359201055,28.583538120013248,31.030961927303018,30.243941890493932,34.43555788268442,30.444815112170783,33.39983152879006,33.16024498363971,29.354764465038524,28.434675381727608,23.8372079124588,23.867128617008724,19.462746400975245,20.856387406344798,19.642061868720774,20.86033920466352,23.404945905746903,26.01479726694621,28.228888676929287,25.48753770372806,22.58112934408936,19.46072543196602,19.120731084514805,17.162567740910415,15.246001113145372,19.547363669640696,19.573424799419914,23.245470237070812,26.41335158322422,30.54666983291211,31.524537473732213,35.524175178724015,36.587307743849586,36.0608799095177,33.251881835423475,28.889742310358073,28.971758516310103,26.518522249986066,25.2881628873442,26.26668402008672,27.24805803330489,31.39917911463558,29.966079369533634,27.665130629473175,31.005520761666936,28.431941320153843,25.727842294659148,24.221002825123993,24.10763123544946,20.363430596563763,22.01682853387399,19.610319686901935,24.06789540355354,21.836479673938396,22.35217999313556,24.323721880320658,22.994252502687413,25.014607400314034,25.668291783208463,27.167190461682882,28.24922599961083,29.9478596170151,29.542157896449183,33.75745527579381,35.40334340665272,33.996558257581725,36.94050454877411,39.51558544319976,37.50616556437008,33.734541364109305,33.270249233027236,30.580917110798964,33.244803579211954,33.363556080775794,33.45919423461939,33.76105704829246,31.349075595928433,36.54936190090284,37.000236429168176,38.161010181517426,37.44468164193381,33.94901945348805,38.91450999422418,41.758227391496966,39.21802570037964,41.603858109995,40.0831156611605,45.08508265981755,44.25452514681447,45.665710533186534,45.374693684056574,43.3036262154151,42.60159286465338,40.262944847186766,40.28960049172663,40.56262924502586,36.029082045764454,36.7436461468187,34.28526001146809,32.01068154789475,34.4875158529118,31.977962414103978,28.588389283903883,30.286946285935688,31.878764905628216,27.188338708690676,25.827559438845935,29.377654446326325,29.48246859179102,23.899627679401636,25.603292233530684,27.876139271445833,24.006930385925262,22.113437601762563,26.507041783822956,27.25481602875768,31.32922728545177,33.310776754203246,32.91948758894014,35.35024663081192,40.211574711702234,42.56170954190047,45.201147736197235,45.74086202749179,43.91049508609426,45.83760972717459,42.99933096046589,47.5775240607029,47.06025831816055,41.25790030226806,43.83898660127353,47.870037750715206,44.2272426731771,41.835241183333814,45.08332153290715,45.79103409938596,41.558627937243784,40.247487170486984,36.958036551692864,37.96907211229809,40.65134060123494,39.17902596130774,40.149191305694835,41.80795778219335,38.54980616299007,35.96848432032461,37.221642378808426,36.18394680491394,31.98886904789181,31.83381813875178,32.68114299654189,29.954458247456273,28.158077311053614,32.82805407407409,31.997433365706517,27.365160965669897,30.330992274790677,34.260346761974326,34.24665032114167,37.12058435436245,36.39538078554454,40.56396461834442,39.19919609207405,34.1952883268628,38.10218739439543,39.97551313720153,36.94484300724966,36.03816052837955,42.00236272532295,41.052775320097915,36.23998611682684,38.792843827963196,43.485661911313024,41.48148654179864,37.96376489514458,33.32782727386773,37.42046425856479,33.30508493169066,33.59796675756157,28.26803959460943,27.558179238458738,22.773976653160744,23.348354681903313,25.27902207943989,28.801542084419793,28.5062298900718,29.83182684920047,25.836466343080307,28.639280874998523,24.664402553404855,23.022648648085298,24.45407260200341,25.155946508677445,23.204063431107134,20.16145840533147,20.8458602230042,19.616877884507705,16.255778639327858,15.454526493865016,17.029174721540695,16.043992269314536,16.375275994962283,18.421287985587142,20.623285695088228],[18.8746228608436,17.912657650828088,18.951489011318642,14.221355775816493,18.288943065660792,14.231071565971888,14.870428560334055,17.62057511177021,14.205951224170082,15.17925461025352,16.541576705450392,19.708803757867223,20.437462014164613,17.266583515870938,21.895456660521905,24.22656477448752,23.394297057159942,27.243039152442297,29.288390984785284,32.51952822837063,35.37544473163776,39.07295465923971,39.86532473794715,39.29384943272079,36.976459559079245,32.664326105450094,31.312575001233153,27.3855887423558,27.92886744046841,27.74183401364675,29.269656169208517,29.6721505674697,32.480240075546064,35.95639556863267,34.51652194175542,32.93908274501327,32.771331729697394,33.4716390566544,33.73418481753228,39.92657314073123,37.24049447563269,36.833112562992184,41.33286460585696,42.0068283663103,44.266032367914605,44.947085752941874,48.82841330256108,46.841123482753936,44.07673755954683,49.52738016784306,50.79440989028217,51.49876120933073,52.20850209363803,46.93985839501551,47.96540318015039,51.99377184186429,50.29085819583413,45.88775077400519,49.22950388052922,52.59981029298167,47.296549861614764,47.009189934068196,44.4872184742539,45.246864936509866,43.631931198725106,40.500823404056725,36.67444806054473,33.34946600014618,30.169796658742452,27.376610693499718,26.37115647916172,27.87812841853796,30.12213424074679,34.06953035176688,33.603636677091274,39.668053359680044,39.525904501928714,42.101341203114984,41.771408716967635,43.57406982671689,41.9616579221304,42.26153509574173,40.14833920300064,41.33467963806663,38.61591778376446,36.58589395339755,37.740701681803294,38.11899150798325,37.0660460701107,39.29653315327132,36.37794083521297,38.49938739075311,34.90785832216879,32.927968157709934,28.34372300207825,27.83713679522535,23.655716231695497,27.43355023196465,25.504183408712095,27.658229806646204,29.859481385429543,30.232862839257574,32.09843132637175,31.360642388673092,35.089485087626734,31.064652536236007,34.088228286998884,33.45461555761517,29.70385478323884,29.199703403717457,24.439822037497564,24.102041834045494,19.818735607046293,20.44284588639134,19.202606929109162,19.69912419156932,22.267111234222924,24.184949551118482,26.642103883503523,24.486816433589333,21.301779606924573,18.43335922949918,17.399173382205642,15.865282069194286,14.538813828031984,18.603812482969378,19.466801349044786,22.92889523722397,26.23901811156245,30.45646321936373,31.03361683453294,35.28761531493051,35.99311055658157,35.87562384358592,32.51722032384507,28.094024629347256,27.81170255587797,25.046209163287266,23.487618539952585,24.772435194748958,25.180778965114577,29.3285010545054,28.252575277538664,26.209594813049648,29.86738416119813,27.729117389264832,24.97181778499571,24.104304417098646,24.353035725550793,21.079019082704193,23.234068939074287,21.48274682114888,26.2697740091834,24.68324004192286,24.90886357418101,26.392677540140156,24.54566919666869,26.40033687144286,26.567574678283048,27.778492327359608,28.09397005944804,29.699860132133555,28.606190835321435,33.00184686004183,34.2528366364052,32.347090695209744,35.571691055893595,37.823813855823694,35.89723815893872,32.02368852148081,31.913145155087292,29.305833603518625,32.40271080759663,32.91710795941285,33.33073884743756,34.0964993409907,31.78470292790895,37.169112034191905,37.09703078048205,38.3738539749575,37.110895761484535,33.99193735183271,38.65995089755166,41.27067508607195,38.53260853212867,40.83729029762434,39.23970293047852,44.10631423643253,42.82152621699071,44.444033823539364,44.08805478815253,42.23713323082771,41.469585742171496,39.23800106013683,39.433402239213414,39.75253318341738,35.19811673187242,36.27866760196821,33.91677814567425,32.050810342323956,34.76500228377341,32.66529542626537,29.017600966907278,30.479891736402703,32.558205400394606,28.04855250099489,25.983472346072833,29.884298700481647,30.68695471588387,24.86731194552993,26.302627349154417,28.982737061013633,25.483240883054897,23.029768994733057,27.36281069612652,27.698166204439488,32.21491460822281,33.312862765164255,33.250314286981514,36.030326471175215,40.770337922316806,43.465040436675444,45.83989611213257,46.62185489544866,44.669623159715925,46.66599734553313,43.82803004541816,48.19626375980277,47.553542200154446,41.587724457338375,44.18138881391391,47.97763506286926,44.152135881778015,41.7242088608068,44.83368797750657,45.305915865679665,41.0462096695935,39.629145437955025,36.700806483415796,38.04070730891975,40.93544683700937,39.82958862514789,41.0819903248652,43.103730655562096,39.84997856582668,36.95943843542208,38.6146102011715,37.87358070044234,33.434650551857914,33.19492706315659,34.51325504490672,31.968930249785217,29.834753852621475,34.57532637506289,34.10472005572091,29.46961552950985,32.04180081913774,36.02633710764392,35.66191058471605,38.521526409462986,37.639174787940355,41.65794137475454,40.27120412311922,35.039968003703116,38.795939782121444,40.53598007314502,37.414529780159654,36.22224719185221,42.17241179553477,41.070750318905134,36.04244643400461,38.47271865134376,43.17676910249356,41.02255345764673,37.34420566805304,32.64342851430832,36.479417978938066,32.23789277695749,33.052060233046184,27.645305419489205,27.357011069039334,22.799271356065013,22.660040658319954,24.42811184242952,27.70667258816641,27.434934563921754,29.30029717190157,25.420697505182602,28.378706016281637,24.379875701096044,23.461253838637937,25.432529479838806,26.618636703306947,24.829344639381294,21.225175024157235,22.39428054320167,21.752744219763496,17.930077751635245,16.972487870343002,19.3814003291429,18.96757048718364,19.350870421092296,21.54711729775488,23.7563055489284],[21.34456328696521,19.773513655557625,19.794125675598305,14.650643664684724,17.383761835538838,13.731098884892731,13.047468283316901,15.815243541322282,12.09438561780989,11.80569964487435,13.33113517536088,17.02161519807635,16.85451082685323,13.324794252698469,18.09259211442191,20.404823188186356,19.192909181843206,22.930269700687596,24.828662029646022,28.09501894111119,30.904784583896653,34.61006523859888,35.38961584435669,34.85659307327697,32.53629412222571,28.20396670089501,26.914207471133235,23.01679620697744,23.66639040577506,23.776011989624998,25.33915455821318,26.05988814769699,29.03884501538365,32.24276778599874,30.660887223030667,28.826082560742318,28.879293788779137,29.251167259988495,29.544955430483345,35.80670526781641,33.00061949126633,32.44375374739607,36.949096133725575,37.721459185083184,39.97828603481877,40.800630809424696,44.62040927251403,42.5756740457059,39.96792423540505,45.478012554018896,46.64896287831546,47.473009692188334,48.10277234420805,42.739465381996986,43.890152415373,47.81721065955705,45.992363241903476,41.61699244098689,45.008182637099814,48.276732732042454,42.905380231995245,42.63026417127203,40.183745841802,40.85586606843603,39.190923120423555,36.110986038064034,32.26165074102233,29.01924635811563,25.815843625366544,23.18364342840425,22.145677958346145,23.883511001699677,26.089386367984275,29.866859826384598,29.459433173026536,35.592119581421166,35.299407612883094,38.04249694651105,37.63244286566994,39.357834118356344,37.908591322994084,38.19864472156201,36.36837189921493,37.56066286278374,34.71214709848718,32.61564325757217,33.553281238616016,34.158586469168625,32.87405842385071,35.356105245978625,32.37514748640888,34.620122602205605,31.16553435651947,29.383366204063886,24.774102451006307,24.57730463719371,20.351718208255207,24.267184381308827,22.59418004102557,25.425615420312315,26.846442564707754,27.70126759645136,28.94493882804112,28.668390725728116,32.23563971934496,28.53642879490367,31.940756831618625,31.35551397489886,27.98009513988609,27.317732859821955,22.715368056718386,21.52694762220031,17.14068166877743,17.136839592463687,15.289482805917286,15.624879108794193,17.938025628220068,19.86720275701971,22.183605451790015,20.027830234739557,16.823539579945532,13.997216120878882,13.084454916182096,11.818905456336138,11.144655552003336,15.583722952071577,17.604030978346284,20.527736535701333,24.078301767777134,27.940411132187503,28.966922632003232,33.20348799485125,33.48954961500786,33.191885291321164,29.74973502890591,25.20647575785946,25.496807012036562,22.202638087329785,20.319784625227953,21.16908387598577,21.349783669656333,25.347794394983964,24.03909527000928,22.092304195452275,25.69437308972781,23.586199214805717,20.9520022333301,20.33680423624868,21.04776578800749,18.137379649855674,20.983516726824515,19.590844886316816,24.697577017451067,23.855633040055793,23.342155256962826,24.263875992742534,21.876435460747995,23.85674395331971,23.358364682263787,24.825536323148675,24.72353766029804,25.863995366132084,24.779816059795426,29.09230499586462,30.54627033153706,28.85264404142631,32.28639593376991,34.6238808153244,33.052186531379924,29.05587784753482,28.950606380456147,26.010642397894085,28.95096791351311,29.428712028743668,29.74455278059544,30.71832458492402,28.216134808705498,33.733602062967385,33.43207338726096,34.94403999104465,33.59101997282587,30.909245396766913,35.573693806522755,38.12092025440894,35.23801991850937,37.14955958434109,35.29847422702892,40.23192955339195,38.947025072319455,40.77340663400713,40.623897162816185,38.89681445277176,38.4368316503037,36.445048456778814,36.92062323311964,37.6258117996533,33.27417724743568,34.670446957144904,32.79120941085766,30.80185699579823,34.06448057480253,31.93705564967547,28.189712348113154,30.194178753171606,32.53653121022542,28.0790468867299,26.27188147935938,30.474665359990787,31.373478893201,25.8361790128507,27.606060440579984,30.493140282861226,27.05665501349316,24.96091841518051,29.485273593831867,29.472212941565523,34.11470407981988,34.77761189743106,34.40819535390007,37.3648266912633,41.81914380009083,44.78579747496718,46.719182333754475,47.23791779697622,44.94086597967846,46.62471009617391,43.44745940361989,47.689915304890675,47.39188166554541,41.25982248055531,43.45748155751134,47.38288713390286,43.70598507842197,40.95286604360776,43.75053323919187,44.604345280704685,40.501870923107205,38.381605570588434,35.90712755630754,36.71487169508029,39.81073420976932,39.119868209197556,40.14521549812069,42.477578898350615,38.871277239064995,36.124887756754724,38.35910952060056,37.430224432547696,32.82588652819473,33.12760078079311,34.75558827641567,32.286533762644986,30.377666447950695,35.330144758742655,35.084240527457325,30.69568743478509,33.379689929733935,37.35213606547553,36.79477820768453,39.27685308489552,37.924533849742915,41.94620932663546,41.06260225852736,35.64668361493989,38.95645775090247,41.059941692907266,38.1224563271415,36.385252000531615,42.36172167463093,41.7261382821113,36.526609865839596,38.44102842158315,43.42191465102297,41.63165275295651,37.862310244348876,33.27819258471795,37.298902985633724,33.276535518408856,34.45857134515496,29.02313152593363,28.38614965191358,23.95973468844978,23.9744291047936,25.16564614467835,28.262233674794786,27.43558225849107,29.18107662699795,24.822993560453927,27.282250370294694,22.91030855283275,22.970906472282092,24.664424626619905,26.302951812439336,23.98579926114462,20.610614207236733,22.753896027211468,21.96890629875564,17.44883736258461,17.800942941282027,20.56068927382268,20.209547163381284,20.00604562304288,22.260781859652134,24.531012668354947],[23.842995472134604,22.207974966049264,22.331536278710214,16.566982654950664,19.358392891362367,17.075789909826483,16.28620497165607,19.577120816082374,16.152735996297064,14.956936265080778,16.63344472379811,20.68701495832826,19.531122379918173,15.560871075405146,20.238373718193216,22.578113371310067,20.524794121209762,23.735696094148217,24.59921567322904,28.240256528913577,30.510991298398277,34.25986708262977,34.51870663504825,33.58822363585624,31.680435421723153,27.411711305087703,26.70347566297806,23.19712208833859,24.612454714617943,25.5493524612127,27.066607593926754,28.47412545463604,31.59764739861406,34.30084187160718,32.5743465769843,30.193286693085046,30.68391668189789,30.078317556238858,30.102916360218213,36.33211361941766,32.78023102994229,32.33047889870034,36.88110299670122,37.66672514471061,39.48479370072789,40.276270319834296,44.08800566242887,42.40549059942546,39.96081629598884,45.40817671086371,46.84527616285713,47.980473477138155,48.70081156229478,43.12406873310804,44.821644120118236,48.54520523362865,46.298008211228534,42.184468341018984,45.812496816395154,48.66202116511246,43.0464146422521,42.84045725502807,40.705096209887614,40.77283358247354,39.03987622477098,36.36131100156022,32.140488363462495,29.43633305385241,25.69169160629199,23.692621202269834,22.056997980322727,23.572734149973368,26.423368838538057,29.844175559807265,30.19661958205248,36.364086358519096,36.064938656613236,39.2491673558845,38.78558749272091,40.29324686493144,39.257592617305704,39.30960057537073,38.05351584856483,38.95003176620688,35.68777906971891,33.88186361098893,34.47826028636427,35.756734351642606,33.95869469347563,36.987432784215336,33.77194556565229,35.95826738829032,32.81428216201621,31.513808826679746,27.032621210803452,26.99937595084298,22.915515236899175,27.213045409758433,25.921405349377117,29.27513414813024,29.999595036304097,31.14158316855967,31.720788414892606,31.615368928964543,34.621704928825515,31.020907304320023,34.45183330427266,33.45084165850965,30.238240345894745,30.034900753339755,25.419299030502156,23.833226701750643,19.80523158460301,18.810635603000513,16.87693531414592,16.100583594603084,18.11270053121476,18.721794342388304,21.18632134157791,20.051286809436302,16.54133634296932,14.453188803625208,12.606223252968853,12.469540769672738,13.018295358326462,16.725100651856142,19.786690644255994,22.25249834047942,25.837051537027914,29.64181149238759,30.185035297473586,34.63620624456511,34.43185987899963,34.63263698843883,30.56105168813749,26.054746921343437,25.9061623678449,22.20080093341575,19.803317711376405,20.98806630042259,20.065785647006763,23.86764670132984,23.097782224899376,21.71742939820105,25.659546307895994,24.247085314059394,21.720292067657486,22.04012413664074,23.264655925855156,21.058788886870786,24.321578932951287,23.526282291133654,28.744138176025725,28.333898490934356,27.590851962979514,28.14404909742465,25.364143349828932,27.195380772509154,26.137503956407066,27.348996149288745,26.316784994367456,27.160990037768805,25.22435206089135,29.625066657527665,30.564681352224557,28.215022790816462,32.06043982453036,33.88624023156072,32.53710725270295,28.442562298110133,28.880217615333905,26.074338552636313,29.512255688510788,30.489127690243073,31.158135461409984,32.68770492277692,30.28789297668492,35.90744372583787,34.99070335864163,36.676399909854005,34.68809950462424,32.61393946091712,36.82392396619613,39.025681668882314,35.90825126856235,37.582059169888545,35.57048070632172,40.270444922912574,38.34987827279778,40.531644665586285,40.3477898523565,38.98079783803996,38.4981059942425,36.723004429220076,37.45390264563347,38.24357846210994,33.95781226125719,35.81091098528751,34.098816803586885,32.64287486845417,36.09943700076109,34.46328681047062,30.528832663925403,32.19888008780053,35.004431043724075,30.823314656421346,28.30273816865523,32.747359823359965,34.32714543731227,28.638552072320863,30.05554625216132,33.252995979091864,30.208613408362442,27.585337878661065,31.913533703474045,31.54520844422792,36.534025809183454,36.30330556606093,36.34908621143797,39.61198127689057,43.91580032063746,47.18564926431416,48.87137766073892,49.67655948293789,47.30110938685576,49.06590987414617,45.94014190849851,49.916021126138595,49.46458631821138,43.22583918327103,45.425323953453905,49.03156714819658,45.174985495917895,42.42492620100068,45.02054634754863,45.56974765709504,41.48376372333518,39.27066612099918,37.285250981309495,38.47285667289313,41.76610226593911,41.48622852322074,42.80617462048587,45.47760923635286,41.92511199253921,38.900357189045124,41.484554055200185,40.860632275045084,36.09587645183803,36.2787031098688,38.29858836437826,36.01121111896352,33.80547680061449,38.734871357397274,38.78156963976085,34.39467836537381,36.69111479211071,40.67571451497238,39.821385256327055,42.31066654602708,40.86583443640733,44.68985817435684,43.7427058935738,38.179998679712895,41.3238835217598,43.224194812511456,40.20808984411516,38.22775118023864,44.09902725137464,43.25679467901741,37.89774864100014,39.67036022910771,44.57483990000176,42.59702513574083,38.69375490390865,34.108447771891015,37.70240703458414,33.57911360475234,35.353689955284544,29.965906282985603,29.88288606555967,25.83684951925471,25.025729952695034,26.02362421484253,28.711661303440845,27.9703909473116,30.349576167609733,26.294430867924497,28.863090912448204,24.6142958590024,25.471657669740356,27.66861281032706,29.69432587275877,27.607484301942826,23.8263831315648,26.242248963055978,25.963050562156994,21.300405996649143,21.354132313745627,24.588949846931026,24.59045975771011,24.508535854386423,26.79791118002153,29.04166036702823],[27.574497616092547,25.698982995805554,25.153071541141458,19.598111953883834,21.136924874110946,18.703113261765484,16.753460986081652,19.327851970315542,15.540185003796635,13.006502213877791,14.09450775227062,18.43193767064499,16.67424667049043,12.158959951568006,16.353224392944806,18.865033926996855,16.68865881886066,19.386181595235026,20.076476897223532,23.94991116194027,26.0763582669117,29.99511643105777,30.202488998243062,29.534535736733574,27.74390450306746,23.353342194578076,22.924431899349823,19.481717270446065,20.72847164847751,21.97117682414261,22.829452408740746,24.91019103456547,27.865988076274654,30.17771621131354,28.622663760934085,26.098533266435744,27.125907178125065,26.361024543731343,26.71516487945404,33.06063529439204,29.511271301206193,28.467749198851642,32.96822425595844,34.13260244625566,36.07148344239113,37.26571465141886,40.88374868185412,38.94225910344553,36.905573073906766,42.474909809070276,43.54506673266018,44.83379737222382,45.27018239326334,39.5691838833501,41.26322815005164,44.76288206446749,42.41151828975354,38.21915245066914,41.72010477948797,44.51013608092449,38.797206752627,38.30934962499582,36.11173031659326,36.06177587996629,34.552128578297946,31.91570913305877,27.449433166981922,24.767306637217438,20.856699533630465,18.86877251870661,17.11781233137215,18.60454218958144,21.49242262292572,24.89400953186804,25.413599021205506,31.54540711787445,31.431660011859393,34.685386421854645,34.4072845119269,36.057764138194756,35.37684132443382,35.729715226023444,34.85525566558969,36.017589088019854,32.76760652774261,30.600906841850005,30.6852957103329,32.01796200910608,29.74047794764963,32.71863871742713,29.288895536384395,31.307487138024747,28.306917236740993,27.300271714295977,22.99094734641383,23.01593231755709,19.13875941056929,23.793336144223986,23.0545782272024,27.077144050033215,27.197700318844934,29.187609039149933,29.191674601814125,29.9325251660468,33.01369793298675,30.01077522838402,33.88980973984459,33.218627005083206,30.510015097813024,29.854096617214097,25.63901458705558,23.182085474333633,19.074017776033102,17.58353317628821,14.48377730845242,13.739328743267864,14.792739914640647,15.391345259867622,17.06466166442226,15.749155775938464,12.227566918141441,10.551045002816487,9.718496016338234,10.58254445302313,12.28256477301221,16.374521716337195,20.420827106214027,22.218018516341512,25.93747377304096,29.11991715582661,30.470739187619653,34.70011524878714,34.107264185686084,33.83592536472466,29.986675197810882,25.43110087795768,26.25700133547589,22.034492341718288,19.30537515548426,19.56701816554572,18.228919906732788,21.535909404669294,20.15368587440091,19.0704227205095,22.673800997015782,21.139587955712702,19.047418829683092,19.520429283590616,21.401330000527505,19.557222932143148,23.42323693564515,22.58749417310868,27.83318102043178,27.765307475135465,26.206558628293475,26.44623960373116,23.346263061328305,25.588888970340154,23.76998219150237,25.730130361891746,24.5347223363275,24.461031535793268,23.003885155433533,27.045249438302655,28.574999209838747,26.824804907848375,30.890905763905195,32.917685118097275,32.13343493484713,27.960379793510594,28.293847842482464,24.982669038260372,27.892412587584918,28.579831410586667,28.84632231744922,30.41244144501659,27.549114979453613,33.216184853506114,32.29354420785659,34.35208748319788,32.59166779331852,31.085994927004204,35.411624040204444,37.611411521760715,34.3895422732235,35.37206485150723,32.89560396225442,37.76017298999605,36.015203782621136,38.51905694033325,38.73188819829636,37.50833734654637,37.56494231295488,36.136890105842916,37.19109826518513,38.471433697634026,34.51295759927355,36.56260536931267,35.384065826053025,33.607400768286354,37.499226286575755,35.6252807584419,31.77676677097397,34.10331096861326,36.88451134713704,32.68753035662526,30.791273519674743,35.29190500228934,36.57021649432702,31.27368130947156,33.088755268829324,36.22728584005786,33.02837181126367,30.94994383676261,35.4537602206122,35.05016186260388,39.91404744204396,39.788167572174615,39.441443127219515,42.66651530218485,46.788428169268855,50.101502289517434,51.54160464819479,51.97957278182691,49.35315440604158,50.76318211236378,47.30191403007195,51.24062430352414,51.21975570904447,44.9305163993615,46.69100258389019,50.535235037358525,46.946914357681656,43.889761848778285,46.186352424100164,47.25699997203726,43.37859258086524,40.47086118289233,38.84159445517354,39.26094139565973,42.64339824797508,42.62624824599406,43.51659497207719,46.29042536733227,42.35848153729122,39.72314795650147,42.66366765777175,41.64527380491466,36.90557669737875,37.70877649447514,39.7195212976726,37.398359752990885,35.64171454625744,40.69279343208839,40.706478289604505,36.55236574521458,39.18041828977603,43.11273864007812,42.308580090104485,44.46802333823337,42.68386218321276,46.58094323160423,46.11874191795118,40.535430699490014,43.331609306113684,45.63532876325455,42.84162027909617,40.51816981261657,46.389351332746756,46.0512977864938,40.66223681330385,42.00350921874786,47.13596722274753,45.56193543746528,41.66425028566275,37.233595987082374,41.05902744874384,37.18203291820581,39.02879333619533,33.66885379681018,33.14120867457417,29.101250198785703,28.724358182733877,29.36111825370277,31.979020787711804,30.763202655604594,32.77468024415253,28.27172211804503,30.205951819529425,25.64171940405756,27.13374360978149,28.7057742561234,30.87424689322074,28.147233525285518,25.03772041913361,28.052454915566067,27.2734282563743,22.318409613769628,23.61029124238345,26.60842060945763,26.265135565652155,25.612529485153892,27.736273518986003,30.003017915206133],[31.247144689415542,29.574644496872203,29.43394705272165,23.621071336086402,25.600229019264372,23.58839791528362,21.88748953431956,24.596955804617075,20.77237213762777,18.146412401238557,18.904564663741574,23.252982771649783,21.390534323710686,16.672318417211066,20.214685095345352,22.87775237653167,20.46013264962986,22.285593432109533,21.891398904665994,26.207288994053854,27.563208450427044,31.590256410068665,31.12116076988315,30.195207201915153,29.10139447641166,24.840655415170378,25.27743124388336,22.397656485676883,24.060998658127836,25.897900937179568,26.072200548444403,28.940454852394044,31.646666957793332,33.45775517799273,32.13280271371597,29.32161021315211,30.94740318334544,29.5271555446884,29.846887001736935,36.074463111226194,31.93158676560843,30.67547214714069,35.076611554257234,36.46730694653988,37.99300845802536,39.32987047795955,42.791901660166964,41.119792080553594,39.472304419869545,44.94874031704026,46.08903395640305,47.7059454772426,48.07367564181527,42.195696017435296,44.30762138337989,47.46904805750992,44.724532132056495,40.75867591174541,44.293006429184196,46.65762810101389,40.72215491944525,40.0060270458139,38.025267461528344,37.25657503834855,36.01960556791407,33.874300734489445,28.847142208926957,26.764852712217827,22.233896954877903,20.80228738133158,18.388655167786762,19.01705312008501,22.701406365769103,25.82885209064982,27.32777878365047,33.21802156038,33.53970241685818,37.06137736747808,37.04062425752386,38.68704116236042,38.58249236082365,38.97873272477613,38.68174216068019,39.764210490394746,36.287850906001374,34.20592531787451,33.76490392326196,35.5206329653309,32.60370742445274,35.71066284871861,31.947335644484998,33.50523614181615,30.8292479784964,30.34363799803287,26.401924998129598,26.189851430192935,22.712456179301387,27.837624959732853,27.552050009289374,31.8285680856206,31.780688234332402,34.16272633549269,33.846705154837466,34.87813384729672,37.727104854472536,34.87359571763221,38.75959069411209,37.89711212431052,35.27225174461031,34.84067351488666,30.62335221437257,28.05915766051493,24.13998710616305,22.259076597175877,19.090459571663917,17.752916821573866,18.198513716978024,17.38353209732776,18.573692416759442,18.32770898587343,14.839047150580164,14.2807615921848,13.260043784746323,15.037101197094167,17.22664391290783,20.822594596490532,25.196912664163165,26.822360094534723,30.501709561723853,33.62033859509066,34.65349399870806,38.98302075766139,38.067022501475535,38.109684386211136,33.89876377191476,29.449045598488087,29.948061144625004,25.519461956972773,22.451561369769184,22.902864463471214,20.484125568712532,23.222308430657034,22.292814824199095,21.972827988537457,25.60824423622612,24.66386170125164,22.88732480863073,23.947617184676293,26.161582003278525,24.64289378163863,28.621420092188522,27.816241791221525,33.0399926178228,32.823343086188736,31.166070470555283,31.479952505832685,28.338275881882875,30.67491197157185,28.559289548639864,30.58363490147012,28.929605401316305,28.459086462444642,26.574135659606988,30.469905454768153,31.689615838183876,29.50195574501357,33.893610173843186,35.42427350509026,34.93008520022759,30.74961955978133,31.55023023723747,28.38526293278552,31.546286562552645,32.53125919956558,32.93343391545585,34.804596447471255,31.890157913502524,37.53697355594356,36.294208749394286,38.54352096879182,36.45704694635076,35.47592282710327,39.47513495122389,41.40114575582785,38.02732238737481,38.65358841070657,35.94225880592909,40.570445399991485,38.295046828472806,41.2019964834831,41.469677460887084,40.62373341865936,40.743817774893905,39.55104753746237,40.814008807950955,42.149616301404016,38.270765165840366,40.605861255750916,39.48538352236505,38.07277908577834,41.98304537831455,40.38576141641829,36.45343352684441,38.47936634218206,41.46577593075676,37.38161359279563,35.022302661360044,39.59055206639683,41.20413946563926,35.710024311924265,37.2401574785487,40.48500808965894,37.42548706005851,34.93935014959894,39.28302815432544,38.81511937490847,43.84681767017639,43.325913939287624,43.36654285348108,46.7270727960213,50.86360041807998,54.270415524693405,55.70978404853204,56.40404298097689,53.82336026132682,55.35482254446693,51.98900605316575,55.795903497188604,55.61693413886075,49.29494409094325,51.12858815904477,54.739265812608785,51.004916640590366,48.01546744516029,50.21093952639165,50.99724003946176,47.11396692222747,44.26825934535139,42.922156641435,43.66655809313967,47.13652110800271,47.299533437834505,48.37631861401687,51.27146884845967,47.40124073872182,44.625948527347504,47.633168889984084,46.761547007294375,41.980666496515035,42.63601015935962,44.73360675029606,42.43879711539316,40.51360706101907,45.52355056345866,45.57043684124986,41.305641922440465,43.77421781551892,47.73588818578824,46.86306526675997,49.15400326928386,47.44920209752046,51.256944180074285,50.61925687180353,44.99382667713812,47.82544911575291,49.91414157105706,47.01309204635081,44.68820599041094,50.484130593244984,49.87281266642371,44.42527520890579,45.80605187203329,50.80204716784465,48.9826676127557,45.01755377767115,40.559461114707574,43.97412732651831,39.95018002465744,42.127600975170544,36.82391492504288,36.81124623429251,32.95354709619223,31.983849698208584,32.6879916188084,35.05481086283108,34.07764131253655,36.57272372468724,32.39602072718421,34.49822245533678,30.090302977662024,31.806957842723747,33.67489072892033,35.91340456912792,33.33593508733996,30.029327182605265,32.93161224576173,32.318477007221595,27.428598309038808,28.29542090927688,31.35318420638347,30.98117026766412,30.477104869325046,32.53136732691479,34.79367756415963],[35.19378633931953,33.16864219439694,32.27667434787906,26.663807857707525,27.370826825974145,25.67769040570546,23.044839220128083,25.170728701392115,21.533845180932975,17.81546940389561,18.16994587493338,22.40360227593652,19.594033268650232,14.993056631571955,17.449949788192274,19.88355465413996,17.079178705375963,17.852075831700006,16.683812217907057,21.18495266595205,22.107190743634913,26.204494083852072,25.539206688030365,24.7956274115124,23.95525307583828,19.731501831005836,20.704364528330206,18.287468554179416,20.01657162613977,22.460465861380264,22.091136624966826,25.71568960427711,28.29698405077146,29.396856101814627,28.10368553418946,24.972290091090848,27.220606996873503,25.235869216935654,25.763864100704765,31.857005239503383,27.614999179237532,25.802705482585704,30.03771770090417,31.788994064095778,33.28519556988676,35.015596149731714,38.21165857491825,36.38649103738926,35.23848844854565,40.71543878801207,41.533622721445084,43.36775499797406,43.48150732737593,37.51740739722733,39.77570859279485,42.605322885062115,39.66026764467692,35.783981190951664,39.23915166721924,41.36671969548008,35.343618138201016,34.447006770140256,32.587585900234714,31.531506139219914,30.423466793738157,28.50169542824083,23.261126862558037,21.53890109895033,16.798603759913444,15.952119462620795,13.230070291012147,13.882118347452057,17.679410262581627,20.331319137019772,22.264409049984774,28.006836625426477,28.313794560518996,32.05333822573081,32.08137747492645,33.672674048689935,34.0520836681365,34.59698566982767,34.90958432653412,36.09056486451657,32.579425289510716,30.328738842692147,29.26469952901468,31.3304270380429,27.851543096082516,31.15735729186939,27.267516813109534,28.745084210812596,26.490281568616027,26.54945257782168,23.019202807015834,23.18091656042561,20.216092109774497,25.276561466821082,25.643218308129164,30.53749868331606,29.46994813190005,32.584900246900304,31.404563925447416,33.23730451241974,35.806195347111945,33.67968361896103,37.87719440844747,37.23679262134318,35.25696628789063,34.54257139211102,30.87441040295938,27.479473804359124,23.887501690482733,21.387331416731318,17.49133032446339,15.944662164592263,15.083796933202256,13.66714041270809,13.694405956323264,13.874107494158784,10.779657713232659,11.542660795350884,11.529908908008098,14.365904655905156,17.5184285747581,20.767667611093,25.961037519099673,26.734063647019834,30.359901104934828,32.70070132197295,34.39482945805891,38.40941401729844,36.99241048607844,36.6692423419331,32.67526527306394,28.387117511462392,29.773339274782828,24.98090081861117,21.706304944999236,21.215754185836637,18.294675335895207,20.12078978653693,18.651190773951335,18.92589384231666,21.98869914413749,21.25556687671136,20.156503110281903,21.66506569782554,24.531896912024568,23.76908336987184,28.184812647213516,27.71458338712023,32.77923163229257,33.24504414596527,30.833472183135157,30.548870392400442,27.059873873646385,29.50274345898345,26.554616894914396,29.019927309969834,26.94762050750903,25.467610187889548,23.900767769817787,27.20771805593206,28.85174904653517,27.277356385706515,31.805783377200978,33.41308974757548,33.594572694999705,29.47376301227216,30.221058329125693,26.702158228151664,29.26135682703192,30.044885175364893,30.136616293304026,32.176097096227906,28.997927502433132,34.49301076889644,33.02812715118128,35.633227908844226,33.62832865660325,33.465015443468,37.300708400397916,39.07125038408012,35.623619766226135,35.43399464340534,32.27101088530967,36.87737654107628,34.71360546911263,37.96196310625945,38.645594108468494,38.05630111001281,38.752798099474674,38.009621823981554,39.637422483785734,41.487101397646114,38.07302757727484,40.65305942800589,40.16701471264283,38.57203188291583,42.91177199022436,41.234895378510174,37.42415652987308,40.011557777446235,43.049564123380335,39.105682089328624,37.26157885290069,41.88841201913728,43.36429628358307,38.334752987987486,40.19356072774463,43.451957027156766,40.399872850628036,38.395877122199266,42.86799071454114,42.226739368953616,47.18182243633374,46.52865884083823,46.18131149567584,49.5605951896332,53.39472595718724,56.939534508926656,57.978964976304084,58.309318504880096,55.42381663374379,56.55808751077928,52.86409784463205,56.503192513548726,56.771506079991944,50.43209577360056,51.75157839815961,55.50443496871228,52.07622883047921,48.77999841330299,50.56559206334412,51.86686721557894,48.27408813891525,44.68004064759089,43.84592437547357,43.83153244211316,47.389777416617626,47.95284087545329,48.64635012508806,51.73473056123369,47.54062566179621,45.11818925449313,48.592330172418315,47.44125367128397,42.697061645555145,43.94939666207933,46.179472963776014,43.9725572336562,42.42333709588356,47.50188574938572,47.66791343434697,43.72550703184461,46.3608764533684,50.23213245888689,49.28587744029772,51.16343423506896,49.04672329681603,52.823943424097145,52.737732469808634,47.09029810929017,49.437773649504216,51.91173173410206,49.27940029921208,46.51467320273531,52.220869100788484,52.164434381032564,46.698797888957536,47.53091304184375,52.72812325861185,51.37681754192942,47.432017831648494,43.20868633174516,46.81913387920826,43.12728855183085,45.45934484128483,40.23738157655812,39.78300010237156,36.068676434081674,35.458294144919094,35.68947242928887,37.88894159420442,36.393438112520144,38.52934979004642,34.024914284254415,35.42593666054363,30.875463697952394,33.37900854428886,34.71852083030221,37.190921502678535,34.14905963650687,31.434611878547415,34.973054375106244,34.108881670777684,29.003878962124137,30.93438279197329,33.95860537358085,33.50318920962133,32.52197482296124,34.45082818954706,36.689542712108484],[34.25190718079351,32.49898844327572,31.895364357636687,26.554109921854785,27.68209142812781,24.88903169801256,22.404609195148197,24.016207491110322,19.824523220253333,16.495259040571323,16.10517770153029,20.258628981037972,18.569094807060896,13.641376982622448,15.926613091264384,18.88672089758022,17.135152841846516,18.22788877149132,18.183441355314656,22.630146535682222,23.985238573733486,28.255129369389216,27.96813952851033,27.736207264496908,26.673646041681476,22.28642664405198,22.86441384074121,19.975319436048594,20.767050290013053,22.4342042288223,21.266050873804446,24.819446820518838,26.94300751270928,28.456428116438897,27.69202612840595,25.144134685891455,27.350546164765685,26.42928845850764,27.430263147240726,33.71629752806938,30.112237182595504,27.921449963348845,32.13151754412868,34.08129921613012,36.01668163522588,37.90839356515662,41.067319298591954,38.842850572508034,37.68858699634043,43.295526630350786,43.76855445993279,45.38904976199223,45.29864835065507,39.42398357794813,41.150725505837734,44.083533594132454,41.476111611833964,37.24467461021757,40.36687399143506,42.9038106713936,37.001731920277166,35.70431300004967,33.37918379697955,32.762358644021816,32.07057948796166,29.775279507500898,24.50174541376231,22.123743652949997,17.573092184857863,15.616976808563324,13.276944300880793,13.44829194072277,17.03131499336205,20.563879835955472,22.02020269487102,27.731734174488192,28.63187749300862,31.900545595450804,32.36411178813497,34.4577321655283,34.673694562510285,35.728731847154016,35.59571298607037,37.24768256456759,34.12157641656057,31.374843393557118,30.385975466774088,31.699285473273346,28.361307872203124,30.83403473101202,26.81512469080702,27.894527163456875,25.22267083883311,24.937652498405,21.346791595781824,20.814472957167165,17.79980608130269,23.336401399190052,23.719734301108204,28.39632299587297,28.18143551874126,31.496942687058205,30.965797964021384,32.943778893248336,36.22394836677835,34.03061751341011,38.298442626317325,38.04368734748712,35.83339620762769,34.69407534164946,30.949904598129844,27.86240812484114,23.788550732650535,22.066553387855194,17.856079988189943,17.29637865050791,16.655816596559394,16.568048348570837,16.298402398974783,15.152214995392832,12.16312060469915,12.074774476213195,13.183104926641079,15.218962814812961,17.66388996740642,21.779805453991454,26.302399064782765,27.5704622326871,31.27679589813034,33.78943985302456,35.85177741302639,39.80555355393962,38.82220614074155,38.094617961741704,34.540890560968315,30.09673738430885,31.71366250973074,27.13397255887013,24.132580199456786,23.53401002324566,21.404586593305886,23.577307899109044,21.636090777402543,21.398539134596028,24.250700156516267,22.755604919950315,21.57218875156683,22.192514101757368,24.783519913886117,23.28371635559696,27.4875017997042,26.20593252223782,31.174296132087058,30.897616641689243,28.49701427114886,28.808315888798912,25.715792167719666,28.646030615032767,26.050580515353502,29.137995759795068,27.947508404177892,26.56172957222509,25.853572623501375,29.149137169518895,31.34908792012892,30.23436878304743,34.5410226275685,36.54445654187548,36.48260350435643,32.33671558372156,32.721663721199555,29.046728792620375,31.303137466372416,31.64337918793191,31.335290044030103,32.8401822063794,29.31004081535468,34.82707696080734,34.0374110006565,36.61022866470395,35.25109850527748,34.5575407066442,38.90669214120135,41.01904330526138,37.7180023723412,37.68949186961672,34.54550801122289,39.45046860443147,37.79124772695712,40.838375587873045,41.57179270578751,40.682132766625074,41.383859396511326,40.42587848535732,41.84313421709374,43.58383733775466,39.99151413009332,42.21580828047609,41.45966624739619,39.46873298134003,43.60411632888167,41.51245317763701,37.80535794285263,40.547369845046845,43.215470064468974,38.97557478411565,37.52597273839788,41.97709741959463,42.92449726140847,37.849966135421106,39.86347387282978,42.85782835880456,39.445306818934085,37.66309804909781,42.230748899220025,41.97259836648465,46.70140654082584,46.81918821824634,46.341752149150494,49.47907659117873,53.57967759891175,56.80835314309473,58.23586094199614,58.451947404334575,55.726798581939015,56.90460531737554,53.2305901059412,57.16324113716666,57.45625205855833,51.18120867304368,52.62999596937068,56.63646426430769,53.2505198603101,50.0091595520214,52.061457614225354,53.47633258547756,49.761668805694335,46.399420623948686,45.065846271768216,44.917802840732584,48.32307721649249,48.45675040467966,48.94596272011288,51.67922714354801,47.452407083754615,45.2553750507709,48.31630450143111,46.879974608218234,42.29160444408515,43.562202438177096,45.351937831858656,42.91849935775043,41.60151136462392,46.6749981045903,46.46977539664076,42.42467448433547,45.40558944834964,49.291689391877796,48.679512760883675,50.702745385188834,48.80142162260557,52.782138613166374,52.576080950620685,47.05505513554503,49.709865834327154,52.240944422021194,49.56458193099795,47.13460632781983,52.98591731229691,52.89017170642296,47.51377344685164,48.65468137542718,53.873422836390006,52.46835631760834,48.57639858332718,44.21351584382889,48.049810811209994,44.22291762893304,46.117298755377696,40.77012106968578,40.15422407263886,36.06956323104262,35.82567822721906,36.421692394354494,38.9894129835842,37.639373474012935,39.52330878178611,34.851272000259364,36.388936225087896,31.693872204001753,33.44610658832671,34.48005948442051,36.55333256905335,33.30531466405304,30.917585778304137,34.06687045846626,32.713401475355276,27.826175604049297,29.79705684764537,32.27707609659682,31.33939027732911,30.28081061751431,32.03716194329222,34.275679790612266],[31.488458178839085,30.049025546714482,30.034369988824075,24.639266902281076,26.714793016336614,23.556082585766408,21.79670512578318,23.763985456961016,19.401683658284263,17.00646122967603,16.88532240164094,21.050874847186325,20.176735944805355,15.263553753738528,18.33182969455581,21.398946286938063,19.93512484751268,21.76431747122109,22.17962128910687,26.49134775309395,28.120352809085418,32.33490389950804,32.16114140759626,31.77338320744243,30.55023767822721,26.12960813559532,26.374484072771306,23.190622508810602,23.98193551143997,25.219122756326442,24.48584827983365,27.426818650348295,29.619159073254774,31.655005871216055,30.871966114482838,28.568319261895578,30.308239796049655,29.780300092339704,30.61959393862205,36.992805818892876,33.444587673018106,31.64406573760397,35.97261371811342,37.67373069665363,39.62437908279241,41.25120485402066,44.59955980493238,42.47997101427526,40.980044708526925,46.59416162969842,47.288233940921025,48.757376504164476,48.84080709339351,43.0282420239765,44.65106006164017,47.81555683573601,45.34689902350158,41.060079959231096,44.23467031282478,46.93320283172152,41.09345875940039,39.92983706501031,37.53277169358243,37.109294935993475,36.31455383308953,33.8781661333364,28.768664181993014,26.18553406726164,21.803694237404333,19.554047304338063,17.452314110035662,17.656261176068572,21.092994859758655,24.855010217024514,26.00973037562,31.773040705438984,32.66618195631843,35.76681386210419,36.18821934890176,38.308094416537955,38.178210941396614,39.1226474637018,38.55293071892981,40.13769113710082,37.04205568504128,34.42006928099099,33.875133115894485,34.97033290441894,32.04978318702455,34.37667684146132,30.482329500774895,31.61536706366178,28.664659663523697,27.97278602995365,24.121040626369666,23.30289543376713,19.946395044699237,25.4380551758983,25.30915983027788,29.446014980133327,30.058158191608115,32.8073486444058,32.950341938717195,34.33710831429092,37.844780909914306,35.13205488307302,39.1618373618194,38.776638296699815,36.100925242412295,35.13619894341028,31.008655870379428,28.555882143948836,24.243261438205227,23.02505325094717,19.358960937621728,18.958459097902303,19.202550694306435,19.416579813700682,19.943271630371974,18.650466404807844,15.390159873397414,14.468868410338215,14.830026471050404,16.129227101969512,17.824225732465813,22.197716023440126,26.05178143901566,27.951703651554524,31.679961837732353,34.735944147859236,36.352803922661224,40.510068245007204,39.902393065161206,39.41123066268308,35.735599827867766,31.18570845367017,32.203889879381826,27.90533394348454,25.065876349305814,25.09176450713644,23.29361603498103,26.055788224023956,24.46978714813093,23.857703858260244,27.103134908857918,25.48607840727093,23.837002764363557,24.14166076891755,26.240063068687604,24.167842061769854,28.001773602114408,26.409794784395377,31.4577861691984,30.587564389679788,28.785398344450755,29.60645158716602,26.829158869100024,29.686553754023077,27.74352220475423,30.514293872030347,29.66035290121405,28.99330622540306,28.06587338600151,31.76299246310348,33.67060962095075,32.14615885902937,36.35745713333811,38.31774629338469,37.79496593710778,33.61320755527515,34.01928988832919,30.584735153091682,33.241018591198376,33.71146328354782,33.61477693573277,34.984380149086284,31.65087181749036,37.25383498621244,36.639309401014565,38.95221191703972,37.55320065001858,36.27132286639204,40.74476652974307,42.97393161018503,39.73125892579619,40.269789408455466,37.43965902206625,42.36132270003398,40.62527557919441,43.43622779895101,43.88292492021507,42.816700577668136,43.12675185995385,41.852759294869564,43.00644084308693,44.38183124404923,40.463855869332946,42.49029419412207,41.27383842999123,39.38377486822589,43.184055572711266,41.1166727836931,37.34665748939261,39.69507364342318,42.27653592842202,37.917522053286255,36.15405577774359,40.52270337759117,41.50024138544301,36.100880090258656,37.89089098564414,40.827872366168485,37.36861001227145,35.273140167122115,39.74759021590848,39.674892529737605,44.40801586152807,44.72720823625786,44.51165419252403,47.59502121741848,51.93615546007994,55.02641279616524,56.77915850700226,57.24331122687299,54.759295236196344,56.225264666863474,52.79449929295158,56.86574134626381,56.842061038814,50.598951515687375,52.42119555032102,56.34034846790802,52.7504372566179,49.73721208473691,52.093891685748275,53.15386128178546,49.23408263750296,46.421387813487996,44.692697887870345,45.06460386913234,48.38949225380125,48.20134877020512,48.94626073624875,51.50336281736033,47.51670166842641,45.09001780376884,47.76767407363846,46.509725837034075,41.921374502167176,42.756298969420186,44.39545107051645,41.87712774773718,40.31591703595326,45.32615766462365,44.98856965430306,40.69934886730393,43.597320414853996,47.5438798895631,47.02910093116805,49.36608388527975,47.79235942966247,51.80817239880602,51.19062440634803,45.71407398405502,48.744192258417975,50.99898558053856,48.13237360613609,46.05992432258268,51.97539785040974,51.48028216469416,46.1424113745685,47.69939400774288,52.764890153522785,51.02786524920229,47.13864587678904,42.6127182203213,46.32495412953941,42.26500750080839,43.98596488626691,38.590472983092816,38.265869912662744,34.04968010098326,33.61089106643595,34.58387176365616,37.300711953246804,36.33429543574437,38.42615439471615,33.993912647796115,36.022561011675734,31.43973431590243,32.55091396824891,33.919518172710376,35.76929414648612,32.852344285025104,30.08085141464277,32.70178675596663,31.47148809074139,26.796398385000035,27.975378426185816,30.388397727922083,29.432392732244,28.73347896850064,30.550194713638767,32.81067349113248],[27.832972441798418,26.499301736445787,26.607428714730005,21.51150718619184,23.862267373801956,20.080402750301115,18.65649571063852,20.523809357515802,16.060477294557863,14.446099830834653,14.437658849785526,18.447526820653465,18.32807214378263,13.694880281054667,17.316479954338305,20.344930922974047,19.373102947355193,21.99216742164771,23.32137004824832,27.262863810989348,29.473977733112644,33.585810708630156,33.88883360214452,33.62353553325996,31.920762309416606,27.438181837382785,27.02439656383012,23.41682741581325,23.833852218499718,24.405897408966247,24.1733682942527,26.300466690682015,28.58844496030166,31.212526868515443,30.345775244041878,28.421512377410355,29.56991692901305,29.742309419822558,30.578572158964686,37.007557875507274,33.930687027380266,32.39758874017155,36.797728295119896,38.26371260033878,40.49122503062967,41.92129069844904,45.42273005396908,43.16591424394817,41.292023065380846,46.93907524026749,47.65486426069982,48.82923663167123,49.014701263704914,43.37770880395261,44.64084772270601,48.10957619073222,45.984705294561486,41.526292210690414,44.65843958680594,47.71449020868499,42.07212862027809,41.08181277096008,38.49485383568103,38.6364115742405,37.66034986595289,34.84829799579884,30.177149780659338,27.1166082016662,23.23684677888014,20.477355086272187,18.93426528961352,19.65347042130227,22.472997844374206,26.521897287119693,26.89453941729463,32.79027054090273,33.444290497830295,36.24548770636284,36.522135251108004,38.688885902253,38.03592268264021,38.95240695859069,37.79112279111393,39.435450419805534,36.56534107988859,33.91629968757047,33.89218719023051,34.540856734929214,32.23588745654669,34.31476659983739,30.702688293514235,32.11061335420987,28.8101038148808,27.56817852920385,23.400010094703877,22.528599719364646,18.79612592052232,23.937826791498285,23.275270458971953,26.889339979978946,28.149740524738196,30.380738753154127,31.145874470902257,32.08269619646136,35.90590863587974,32.88605975306438,36.75540974133266,36.489165995298805,33.541150950608056,32.467648665224736,28.211342669029055,26.241743326807924,21.72534219417076,21.18188177292037,17.887272990270993,18.098251805948017,19.021180823494365,20.234550976379637,21.25675740678083,19.23388644132123,15.996111710532837,14.1461904147461,14.53836721999969,14.830941284068016,15.614030969958055,20.344099888980846,23.40298712820587,25.752629019800494,29.441184879865546,32.76116149857777,34.38595750503143,38.511676214695996,38.33943810207887,37.72234444361866,34.31802177569182,29.720366965359787,30.664169875271856,26.74009507123261,24.27987051708784,24.4553740704752,23.525009556767376,26.790056990054598,25.086811240707878,23.877568048204697,27.16396866766108,25.103894040631246,23.121298557368526,22.802390868348315,24.379449135586903,21.75525454130999,25.200686075640284,23.285497962450048,28.295896824342755,27.07992559961957,25.67375363490522,26.811867169532,24.335663097748977,27.146560373933507,25.795250664295146,28.440800107310853,28.17831749856349,28.082828363218347,27.44853141452686,31.328060792612675,33.326032960840905,31.948139237313125,35.846327767162805,38.09156039772369,37.17524379396562,33.03785319255329,33.13843869744202,29.77158072463537,32.37108484917895,32.658965673959024,32.52152941001878,33.5532343072084,30.334549719880954,35.91954415827439,35.6745835315614,37.72575615383451,36.60394702450088,34.69107229472901,39.42869947259177,41.89280023307142,38.819397419995155,39.83343230263154,37.31014003379764,42.364207159494875,40.97170988709171,43.3977215512165,43.68637214193163,42.29741221416002,42.39000947534516,40.821860174475795,41.693107238540364,42.837460718547845,38.74211207858206,40.43142662729437,38.93449902654137,36.83852902434719,40.388365435063456,38.12021558148325,34.43233476554255,36.76430074012498,39.08961668781472,34.59595370101511,33.04823092708124,37.25440230574921,37.94209785013505,32.5401195045144,34.40248660064956,37.174755935128154,33.56502476685987,31.620553111795573,36.130970821232516,36.25834347668523,40.82003567730453,41.6050492033335,41.26268115037502,44.177441672080505,48.6444381926603,51.54588970236893,53.5067200093031,53.91624340294086,51.558142521507854,53.08845124871207,49.7409747336,53.97718982613999,53.900778218831235,47.74123239522307,49.70606853629858,53.734806784152894,50.16361847588289,47.249474722651364,49.83119893442168,50.90039474904279,46.89872735963751,44.36958310586121,42.22740569628076,42.63235556377899,45.812917880345985,45.29743728238955,46.01749823332977,48.34487799139015,44.459277665599764,42.059694662449665,44.42187124945122,43.125372015813916,38.622614886992544,39.32696566992076,40.751306440677894,38.15215403445072,36.6229765742366,41.5930181971975,41.10931250050418,36.7687259389356,39.76832115047246,43.7096494774949,43.342249140593,45.76451137057552,44.34800477728566,48.4431979402088,47.715579007847346,42.34097653316645,45.5620254918604,47.80588198541816,44.92350084608828,43.095326417434926,49.065360272618925,48.53940945405363,43.30812488729881,45.07706303562963,50.116930481068145,48.37137404373946,44.560053551466424,39.98919110790486,43.890505026568015,39.81879570204769,41.175009528849,35.74845392349725,35.23372073812549,30.823530771243217,30.716369606174155,31.888801050578795,34.854765764387665,33.97199452351345,35.81202188573827,31.341805354323448,33.50190621674116,28.940589019181417,29.436836965425528,30.712570545252518,32.30518876172496,29.46123453121584,26.72545100337977,29.021407390322782,27.663443921181408,23.17355413612397,24.182570641743464,26.375188383659165,25.323309347972575,24.711887728701573,26.560000832141597,28.82809498356482],[26.309063025967703,25.09174224598187,25.65691204212669,20.19302090336993,23.309164515751846,20.19658291866881,19.446598113749026,22.11984754462394,18.082779408799187,16.918431272101632,17.676865155142636,21.707723275504158,21.282125932924586,16.854285228232182,20.966923076519677,23.770100481556486,22.262778053647367,25.053825606354575,25.921387637058952,29.89173656565724,31.954768477636318,35.96084935698765,36.044786022519936,35.35758974578085,33.74727008657979,29.358513887227137,29.01793931140487,25.536243571100457,26.55018258338903,27.393850200244568,27.833800855895994,29.762802707655023,32.373229760734404,35.00785875602495,33.82237342699996,31.642915776823823,32.58558236229583,32.28628216696257,32.71099732144092,39.06785354195677,35.58001457937694,34.5513668323237,39.04120728043113,40.2221172083357,42.140646585570884,43.2649251158806,46.91684759043523,45.02988202022627,42.928414745055086,48.47329563590463,49.602325627592855,50.82939285696407,51.28247249744632,45.61109947781113,47.185666160256694,50.73063256089818,48.44923973492305,44.18856083636696,47.57888587288965,50.45385687337907,44.742057236189446,44.05299354397796,41.70937163848282,41.62238445378726,40.37166725279539,37.73455099703778,33.07881928984596,30.307512390573876,26.26923211141591,23.950316872740185,22.157813589510496,22.963570656009097,26.082543217874157,29.843622583574952,30.48181470026016,36.47037076648856,36.85080499694624,39.887641707002054,39.91247489557193,41.800428471731784,41.07685829664421,41.594344549297176,40.45840930937805,41.72729380330415,38.60440605347626,36.38552793589052,36.5815400335087,37.60236061547671,35.40378638331781,37.92722746198493,34.39244771369061,36.011951107214905,32.80912696272296,31.614513095923186,27.34895819426084,26.709407294978437,22.864031386535512,27.77108800580164,26.833477842303026,30.247264356828374,31.456926051141252,33.15469718326461,33.93522275453492,34.31881857286419,37.771277062111544,34.37215507263909,37.96413821301827,37.260175574335534,34.059642536476105,33.51517152133044,28.9695189245988,27.358703219660693,23.050223046558752,22.326069515776986,19.743212641427615,19.347324992531536,20.77818467539554,21.348804709473587,23.046105132972585,21.70850816735623,18.22954674837042,16.42868128115346,15.582949886811042,15.831959381707707,16.497236559430345,20.697124693737504,23.631061805092898,26.190239575044032,29.817925912767702,33.51427028867843,34.39509999796929,38.76402742489295,38.60153494604856,38.53474244563647,34.673755783732695,30.119915739696072,30.268378325109904,26.479226027687528,23.990454494049427,24.85547924874206,23.662006491314504,27.151990816625695,26.088547260481416,24.94886908517524,28.662217655278116,27.040362064595072,24.78438637444825,24.86755560919712,26.270076968293562,23.772454164130465,27.054225058603937,25.556978009112864,30.66473122295955,29.54975913509676,28.6388184170355,29.704087646545542,27.178967534429958,29.551106108161672,28.42820818253422,30.357346281866743,29.696518265802236,30.091004018663646,28.668759227738562,32.86027307864338,34.20701139528627,32.12876026064224,36.0852075564089,37.96365992418037,36.801577529814566,32.67437906538488,33.08714237855305,30.09347640908512,33.2734628530588,34.006949403006395,34.33703761174625,35.65724365273034,32.83752292803571,38.471697983655595,37.86838841769286,39.74826037637988,38.11481231016568,36.12204661661962,40.55814441343953,42.8523417615316,39.72465751435769,41.08903732928655,38.800520126073735,43.63545120452814,41.80347871056463,44.190146920795705,44.196219949537685,42.886144387000165,42.6170121596291,40.931156209445525,41.71878742221934,42.59255408681883,38.32998945123845,40.109236980979986,38.36147094937281,36.71862834551639,40.088520685442,38.21128905447849,34.37178755471168,36.13579407017387,38.69918919050215,34.34610048028341,32.07494012789106,36.355746025431344,37.566574881844375,31.83620038298394,33.286970369999544,36.248644014213895,32.926144635040835,30.383272891778038,34.69681819302051,34.676524879622164,39.479234738954055,39.77219878016816,39.86595550172083,42.94971651055531,47.452769326727314,50.479807264213974,52.467637699495896,53.25161135700214,51.0103697772844,52.80793190353918,49.69962323207404,53.82452993298739,53.3945080429431,47.21481106851899,49.45887097976901,53.1763588326871,49.35028324922487,46.63321429333616,49.30387594834976,49.89702521416703,45.78048712862339,43.6444257961332,41.51442117701633,42.583738976011574,45.806979557146484,45.32985873333876,46.48122068534855,48.92732521807482,45.31521113651862,42.50406311243592,44.82640802733714,43.95626756012167,39.33330234037562,39.572167983228226,41.22349257354187,38.74293071335842,36.75114291386193,41.646305221830204,41.35234605230002,36.852055136352625,39.434949854576125,43.424654247327084,42.862537143269485,45.49793481793059,44.24408243383691,48.19407799482342,47.12786123027941,41.687559881447015,45.04426749982903,46.93432697235972,43.87606851603345,42.144947654396006,48.05833713114668,47.11973267949061,41.842658377795985,43.807300516481675,48.65944024884425,46.57924200426373,42.7156643412481,38.06721168958384,41.61788966249673,37.37020439265443,38.93913892785436,33.540681844747915,33.544621027067954,29.311374451702104,28.586911824144796,29.892985810037384,32.708029613309826,32.15674486103016,34.485241880214836,30.436296997409716,33.02722817660911,28.719128196068535,29.187472477604274,31.105345198729367,32.81565572513774,30.506821061045414,27.094785023632053,29.16355876382578,28.40548559624746,23.97759927329975,24.045407676983164,26.678246453379323,26.08432403925355,25.936586552119408,27.97083203049225,30.23028893455859],[24.508471096329437,23.679853336805262,24.5880805072856,19.838312769676676,23.30969885466646,19.009349719872816,18.709698956012762,20.73967073036721,16.4576639159979,16.336922613715593,16.58281409374118,20.08677421698155,20.963676959673624,16.906871217657297,20.828870118505947,23.72895566822425,23.15478285852636,26.29015330471632,28.037920356250478,31.755023038733672,34.22545886031855,38.24415870679573,38.72046808496935,38.38633615691342,36.495697490096425,32.03527517763269,31.280003613157007,27.485219632078586,27.79182379661128,27.869744312703098,28.045718036425942,29.451090034299092,31.719415955600905,34.82947191953818,33.96588532110193,32.37292182826637,33.00752131591318,33.65876545035001,34.36983155839078,40.75997216293372,37.90141074244344,36.72305828862802,41.16639615838742,42.386972772411475,44.67731434834021,45.84842724976417,49.500355424987426,47.29935131390121,45.087759164154555,50.69080618726364,51.57262081048107,52.53428308649855,52.879125684527146,47.38503495434713,48.45261879114653,52.151048834176294,50.243592181102834,45.72887874155113,48.853034075616385,52.108927481350705,46.59867411286692,45.7386552848556,43.066173336850824,43.47531748428604,42.40593805275549,39.43370702900893,35.00336558401825,31.750986464927635,28.11966569457262,25.156405662703616,23.858809922043108,24.621934959664774,27.230924915600113,31.419033226942847,31.456943593933758,37.329010543337326,37.93486388049635,40.50341764170699,40.72520683424249,42.90939900455435,41.875648098600436,42.70126944329359,41.05026205977088,42.64087022694176,39.91700983778805,37.39792990382987,37.83800342795598,38.1827758660381,36.37811793897726,38.234560212291655,34.839326711888475,36.308531390019,32.78681952472493,31.149913529555715,26.86964196635084,25.792387890268046,21.943346855413438,26.66046419235763,25.456002344062714,28.222623157117095,30.403010603252845,31.8928553712689,33.44223627830785,33.69356868912851,37.73265570131147,34.23059233140032,37.714539401164295,37.387344094327695,33.973913505416036,33.05012734937,28.527325648449132,27.451551795526097,22.88828908320771,23.100178339790514,20.624376611668403,21.124890546874738,22.76467902625077,24.310428937268465,25.85690995547458,23.687109467195594,20.459365060455223,18.128317036545955,18.032174742601697,17.48098953435397,17.197107916700237,21.845715895332088,23.722942820663434,26.748507683636035,30.278634976177475,34.08212206073679,35.25845910918325,39.45200329618357,39.78821238792309,39.344361438356344,36.02021573989517,31.460330035046127,31.811879199669534,28.434062298141445,26.365483071410964,27.085990786018783,26.703599926298306,30.384059851654147,28.94578995453064,27.381014629275157,30.838511742583748,28.64078428973737,26.318119248532085,25.58875725693248,26.51350272139412,23.341605494174516,26.081929993820804,23.81491550695921,28.627827741929412,26.68171071627822,26.125316992873252,27.84583292751319,25.911569886608255,28.514919506453694,28.00979815946839,30.24397502683718,30.491986465024397,31.145404861174338,30.46020680197008,34.579074617852115,36.33274505329412,34.71492808559652,38.34139987530677,40.59351466728745,39.18374433847721,35.13670473079525,35.15017545095346,32.111709909419844,34.93689385666699,35.26001213783374,35.277691525028324,36.05691795304429,33.1185857339403,38.61690440633904,38.64502502840705,40.36295484191708,39.32994038237318,36.764903347860084,41.59330395705312,44.1908668164002,41.28061165859965,42.884419339794206,40.737333847058565,45.76786194544723,44.43994051395459,46.536113311757354,46.54377970563482,44.9256697198993,44.6206623648749,42.71196850470648,43.236191008790335,43.94893934111171,39.57667148165189,40.90831860220147,38.887240773910996,36.85000228903268,39.87824270677363,37.590339632823856,33.96898577622251,35.83089363323109,37.893028113304716,33.30629949117812,31.567682730702426,35.504340298524085,36.06136894842161,30.408701439344966,32.01201533903231,34.577464187833385,30.890170660615933,28.694586555949225,33.03700151314222,33.49399300986272,37.90102967011514,39.14947368445834,39.03973787987179,41.768890424693396,46.508068037152015,49.13385948881943,51.52737887045151,52.16493709697085,50.137688400058614,51.971814163892674,48.944865677319925,53.34081588634765,52.92962658022175,46.91625047824551,49.285393965301814,53.22732430628697,49.50700866513514,46.900602822065935,49.833345305492045,50.550605889726924,46.36954678472469,44.536502687515124,41.8743644117988,42.79018423867445,45.77740463518387,44.81309459261715,45.75826886025333,47.773375643334504,44.228071808298594,41.662332919669645,43.45275416952359,42.33527949611318,37.96227903233602,38.14396161909201,39.27296512354933,36.588406090880554,34.84664985395246,39.63847485316782,38.93805784726087,34.36670814880874,37.28491228518096,41.23644583981791,41.06043573981944,43.833469450335826,42.860239421881964,46.975406370870864,45.77370930266475,40.57018012852646,44.229153362415516,46.15043983735773,43.098144118962594,41.79082650033491,47.764699341167606,46.817246165786464,41.7502699388458,44.020122958177346,48.82188828760147,46.7497604079632,43.03127439590885,38.34361724399692,42.13494303358612,37.87281559723794,38.83759462991055,33.43489278680784,33.163919458768355,28.605694763610185,28.449928355866643,30.126712610427944,33.305063110145824,32.89801798300636,34.79255462682443,30.68618590023052,33.33777270873486,29.0545842060434,28.582694935395466,30.11724277968943,31.294474985441994,28.92578498961043,25.915714805703065,27.362516142632693,26.113028125584222,22.171858867958136,22.093507266093436,23.977752429751398,22.853466395750925,22.75575219604556,24.59070235011254,26.82288695445601],[21.36945632455631,20.611943155444074,22.06314982759589,16.92298609998734,21.33942717746422,18.16932661280958,18.787876648076878,21.87151550463301,18.434110031335607,18.758077962911443,20.062801084901835,23.584542941387824,23.8342962956748,20.144130491722773,24.70795754362713,27.23268715100602,25.948476299857244,29.395681102210304,30.729840717854987,34.340178017965556,36.76343873780296,40.5728780631698,40.92191006870495,40.09031455376216,38.161477640361674,33.85698660173736,33.0102388968377,29.33662533836141,30.33810011760096,30.698030700231254,31.937697742693317,32.95566444683963,35.75408984505349,38.90425698678901,37.5026646741855,35.583437524124925,35.825931840432666,35.91674953540978,36.06681336302515,42.2981230673609,39.051321456816545,38.61764222701995,43.16025824258258,43.92325362199535,45.86931447691066,46.57520846802527,50.43870886224271,48.698898662446624,46.100417698369824,51.53326385371968,52.966109885098874,53.92003465203664,54.65794423163931,49.18902097911485,50.60176419320548,54.46385243377979,52.432567660733476,48.17457118368789,51.65167364202109,54.72855141460991,49.20040165432769,48.840827759169315,46.48425653196313,46.74747449212002,45.2097759454657,42.378205238971255,38.13789236747135,35.168867079259186,31.48945324427732,29.028226823406623,27.544081678987194,28.6683766035144,31.482840915457555,35.30742553042159,35.4806396060321,41.55154261378212,41.613943426562905,44.478126828665914,44.24879124440794,46.00510231092111,44.75554328042683,44.988974686039384,43.28944650454571,44.340550835847196,41.33337344430476,39.426886131196774,40.267289094411964,41.066617893182546,39.546619213535024,42.04298777634694,38.84539232308817,40.76358672995935,37.34367712026158,35.71090891577423,31.228757698279924,30.632232283897462,26.559891531490777,30.840349275847448,29.236504640316824,31.77435051488292,33.681472250626875,34.36690598531031,35.867359632887585,35.31175989453376,38.76383905401661,34.774183861102486,37.81939540649981,36.9006599421872,33.19184889690509,33.00816309249524,28.18354289773923,27.628795730358778,23.48474097334189,23.4928492426954,22.063762416108723,21.89193967935199,24.207763889402653,25.1975527420815,27.631990453167088,26.14224443631672,22.71013642658476,20.33960121783715,18.865352807501328,18.084669308970046,17.53018384372948,21.28161728302043,22.80617497968174,26.048357619464024,29.398875354288315,33.64923690402834,33.82548192943078,38.26717033356042,38.67105915344354,38.93771206559748,35.110161943192594,30.692971141230597,30.004197504864422,26.98228583067938,25.058120215753164,26.631556665634466,26.20123651094894,30.188722657616903,29.501478868730725,27.897621185700533,31.803006698297633,30.108705320422544,27.432787950598982,27.15228800650674,27.781124027081514,24.867284612419052,27.33659140933695,25.82312111809424,30.705100148352667,29.188073182520768,29.257941662097746,30.661693485637503,28.597144561633492,30.490668664254898,30.283834648252082,31.459416992085814,31.20206195737819,32.568993449308984,30.92944309489767,35.403914889270474,36.314342006155876,33.8950327579513,37.438744525520974,39.27382213165579,37.47519833749636,33.532538207450074,33.85294470117387,31.366910750477846,34.85426886363138,35.716900097102354,36.349737787888124,37.474580908272216,35.144489857308535,40.65011323864528,40.20800869230721,41.63697181740155,39.95976244451041,37.23606160108762,41.628496525371446,44.00859162370181,41.09426468654441,43.23296965005116,41.4876957952243,46.20840884788534,44.42609108426698,46.341421937759506,45.94985578047792,44.371315202117195,43.55714390146738,41.458156262512645,41.812250422911426,42.12866259599745,37.56867707712019,38.94776010369315,36.59760599632114,35.167257545002705,37.91493915290166,36.18422000994988,32.405882756456144,33.486950046205756,35.858753841499976,31.538711415002357,28.840044397014438,32.844965969566175,34.15105341680501,28.13840758389965,29.16965128950452,32.01642457385494,28.820039656029778,25.820470788371985,29.871980467185868,30.049555846733146,34.79158662178751,35.296148718976674,35.72644721758261,38.691004276406446,43.41210699298386,46.24275141782131,48.59052270339942,49.70099896748912,47.8052727292013,49.96424408905157,47.260446935158825,51.465987154771526,50.60220357500887,44.595288753885136,47.305571080020634,50.81838637649841,46.797184861998836,44.46370651348332,47.50076543366603,47.61206655586052,43.3121681471672,42.01888315276908,39.3605818611849,41.13355292306592,44.14204755427803,43.245308860728535,44.7663271676128,46.959618320716714,43.80777163780702,40.691871258059855,42.46386088422437,41.966003169072025,37.44807889756616,37.01006420024508,38.515935667347215,36.069048081400716,33.68371802001696,38.33948174897342,37.99529760930523,33.296715884801365,35.550873451498255,39.53484146730555,39.022857609317555,42.01382182106799,41.211414601628256,45.08295145736877,43.48101995064831,38.2015208681333,41.97041398787978,43.429057057717564,40.17889086506829,38.97292513147438,44.831218639913125,43.385546740303695,38.28378246398788,40.7767672807349,45.320210975382246,42.859208747654186,39.09675773824645,34.346150120168836,37.712992575185936,33.273167032250974,34.47972046744338,29.137156078685777,29.503148573039336,25.238125703154093,24.28637764789248,26.112070185450225,29.089909558484024,29.10831528629132,31.569057943735718,28.0658065674267,31.244619742228064,27.385294080651978,26.87335270618095,29.266422087856345,30.638359347918446,29.061121332181962,25.153102894075108,26.336889850915494,26.04088731927982,22.21945837480909,20.873965811995323,23.485951986503764,23.226115709581826,23.76315069227361,25.89437853169811,28.06546944717546],[16.327920364338908,16.072760009265775,18.283453763583246,14.094089569920753,19.35516429674785,15.774495469382213,17.63560854536613,20.615800295703956,17.9027683325267,19.61677266893419,21.169951943609984,23.968250607608464,24.97393274769034,22.14729307417559,26.81717542402165,29.02559347912222,28.184567703949163,32.155478605946286,34.133051814587255,37.30220140028857,40.15526231589741,43.76891499279218,44.5213933134211,43.759418203481324,41.44183401458299,37.21292900114159,35.80295487485761,31.92655743476125,32.63537994506583,32.37371030581779,34.19902429983575,34.29583559803009,37.141491979100486,40.774556169773504,39.26081780050117,37.742557265714986,37.31385347402471,38.02189402862311,38.07116702729069,44.126833627975635,41.39872323500573,41.3462727602594,45.85925739717912,46.309308695939265,48.441328261316976,48.85982512435566,52.84576495556391,51.06601670518557,48.067760102980294,53.395683826652615,54.920796794097804,55.53575015460326,56.438535625186205,51.25637635480423,52.317037716000556,56.4627727680826,54.80448600401323,50.48159046487994,53.905225857931676,57.27606315395666,52.02230570629153,51.89599768859571,49.43477163255448,50.193905169856244,48.46400507903979,45.35448864874047,41.60769808019117,38.336615462057985,35.15377542201096,32.434729030129446,31.38173368338106,32.836677104371596,35.17612293386083,39.10452833089828,38.66329998339895,44.72843484610281,44.517607976139914,47.077411938449785,46.65602400071105,48.36120436780894,46.57588001204771,46.67637765268201,44.367930992432825,45.35072834858437,42.635751883588114,40.87994970379077,42.306022586270856,42.692678852698876,41.884253350473905,44.15644430311836,41.34738791303789,43.51772520687828,39.887276110134806,37.80325564002962,33.209943803860575,32.65677346848014,28.489375526374943,32.02256814153722,29.84641648202079,31.456337485387838,34.035247813532436,33.807793142755486,36.04074871305946,34.71296094173411,38.28186430354695,33.905765548786924,36.4371370098438,35.546902566816286,31.46986789612511,31.387733119052108,26.517193740354585,26.98232496396307,23.05635110812936,23.965789939228486,23.46663409499416,23.80965024341674,26.700597505387794,28.400872750275358,31.204967818315666,29.286996994642404,26.068532074944837,23.207225196636408,21.699156582092527,19.997665855519543,18.303157905156727,21.66246590367623,21.598364109253797,25.38706916094329,28.3667003204643,32.923386459865384,32.776542556703156,37.07085846450335,38.10847525954349,38.39405251705331,34.95237145088208,30.740740196612027,29.663834988167274,27.471517054980556,26.232409350745943,28.08131641753936,28.619366393734108,32.92029187454046,32.25702292120308,30.16052931075378,33.96941275523082,32.00616809391332,29.085597109279,28.239085460750594,28.101272402597385,24.779651776941865,26.33469969911853,24.688644770862997,29.128605964415247,27.224870144501725,28.18515824668142,29.89685137877714,28.397816719503577,29.877800919408823,30.573043725526748,31.21773319631054,31.61465068071751,33.753327415728634,32.32788766105362,36.858430666135334,37.65796436319166,35.342895010178374,38.349470636970516,40.367816992082744,38.05512173840356,34.363410334072725,34.35833589620265,32.22699744930312,35.62994433768832,36.36027807683226,37.05889127106834,37.80306701785612,35.85922613394955,41.106378391155204,41.02034381279914,42.022234506356206,40.59695718508226,37.149029489177,41.60637161678369,44.15862347912085,41.548147088931685,44.309979547884865,43.04404391102983,47.7241655275949,46.28384564910301,47.68466821548536,47.0350825929614,45.11878732129606,43.94485437934378,41.48283529200763,41.400986694249816,41.268775920416736,36.54279536099935,37.37723987822791,34.53840698803856,33.04540141572638,35.15788700424523,33.34633238976068,29.792549607478165,30.456813373105128,32.400350903962895,28.062907096491752,25.425671961636066,28.991205882065195,30.016880921621944,23.944065363697636,24.775823468178405,27.32722403688117,24.082213933834463,20.989588242515946,24.891008563007958,25.427482199367486,29.89409171253866,31.0589072957228,31.507793113485977,34.18790909945318,39.11890501743754,41.63321930847924,44.355452326866526,45.554766203090004,43.970428223223884,46.34375360262945,43.9483343237052,48.30024012215867,47.19438610853984,41.431288459728606,44.46127842546545,47.94385332965496,43.91079371009718,41.88819658440222,45.26143327599598,45.17628858981266,40.78427853699324,40.177849121130855,36.91899536219936,39.00959190504372,41.714679461656736,40.31491208331055,41.967034968935714,43.78638366396322,41.01483526801483,37.829220119567005,38.984125107804786,38.66186145350813,34.37316099439702,33.441771060436125,34.63732980832643,32.183543360053484,29.63265565892027,34.03390202230531,33.53192258076464,28.72666645376669,30.848177306405702,34.788112917029984,34.453491450115536,37.69402080949067,37.29830569560604,41.1588575866526,39.18917598629159,34.15970111031781,38.28935676853751,39.503622686951196,36.17873103495192,35.51870013982925,41.32375489482939,39.62679179246975,34.79633309426143,37.732048889045615,42.041635103870256,39.43558562262174,35.86253257820049,31.10134514316928,34.54676086708786,30.096079625372536,30.649147676610664,25.38920021183097,25.69958468722678,21.27676952717223,20.654244901857815,22.976826027926922,26.254815804594674,26.65798054501766,28.803107332622346,25.674716929641818,29.167302858939067,25.739162271047473,24.074504364792123,26.556215348095826,27.430630142921675,26.439628630609583,22.428169139514193,22.649707362781964,22.573291987294954,19.560852847949306,17.048772026141336,19.332051438063807,19.282661931786425,20.408160345792506,22.539323869951076,24.57186388080474],[18.054253829151257,18.382553384935303,20.748957258545712,17.57744521532537,22.487781050695602,17.641334009200442,19.415838088839084,21.33794422445429,18.19060643085327,20.397415571063426,21.095913193526965,23.39085133304067,25.548241284982872,22.795954786789128,26.915237296083376,29.34167428958517,29.342566267217226,33.22969684982965,35.721059211281336,38.88961385851946,41.880015100148576,45.6363125928103,46.55909545269888,46.185226106137314,43.83826049246111,39.48590653225954,38.02934063693221,33.98765447739876,34.043797914955256,33.28505621295455,34.34087516420475,34.38070910425142,36.67564142398667,40.52479691242221,39.530664561115536,38.51095818029665,38.16092844171123,39.628421345576925,40.11245716064988,46.26018262704374,43.98593233634849,43.45204465549696,47.890411749122656,48.620846405958076,51.07424442429498,51.765390264891494,55.63434216901761,53.489473359493516,50.66599863881563,56.103512179903625,57.231191621565785,57.73229393893118,58.37128796574537,53.26370973112244,53.897528950269546,58.01067139281095,56.58873011975474,52.01469749744635,55.101882608630035,58.73586249295739,53.577264146012,53.06163425417188,50.27438305962628,51.29082950647721,49.94475075457595,46.643812536491346,42.83672948196129,39.24436741919246,36.21075661975683,32.98736481556616,32.18693134478287,33.311418410349305,35.392396502250214,39.68636577551911,38.988137502436956,44.82120054696934,45.09436412953413,47.243861954632166,47.21534799219638,49.31797527141486,47.52639220070555,48.11907595710504,45.58177542580744,47.02213955216582,44.66901344145003,42.44267374458406,43.750427949781276,43.550327100442594,42.76376800959657,44.30592165046199,41.455232019922434,43.22178685914013,39.40467113044169,37.114035080260734,32.71597560754502,31.613703838438777,27.68755021047305,31.260348464423426,29.15068463407322,30.30290377370135,33.75312867066226,33.76168771802606,36.557836546198544,35.54267492544413,39.7616205631557,35.583006133284435,38.20754207374986,37.851620757995036,33.79788326623069,33.12112929387683,28.473938425203787,29.069373216819724,24.85293296819428,26.369229117478344,25.39184716509502,26.41635694288245,29.001685481075757,31.244690649835185,33.50557114807982,30.995030207876653,27.953895285315017,24.993473909994176,24.420639608952854,22.647475099322296,20.766875014318945,24.733141265543317,24.278339494189822,28.18316453700763,31.145016852139644,35.516885811399824,35.990913606449105,40.031495070351134,41.32912379315624,41.07732757545515,38.18552820466038,33.930391352665524,33.43530700115096,31.27237510297257,30.106765477721968,31.478539706796518,32.246534576593106,36.45560368270713,35.30020463129522,33.11135076052705,36.60712490222623,34.16363745795149,31.415819939994776,29.983935027366055,29.744153209386727,25.936016804061637,27.193234498179653,24.616099367489856,28.65099304378904,25.73158575801609,26.819944203850778,29.257756613641845,28.342436693664876,30.29960633196761,31.281939094667077,32.63036996134963,33.80364498251438,35.69410288520924,35.09353014688703,39.4001727083772,40.80042014414059,39.050007579466495,41.979300917604476,44.333388993743135,42.10800231404228,38.40390982218216,38.104000128462225,35.69554899937971,38.61583713821397,38.88179114537221,39.10809078426175,39.37359086671374,37.06489722168355,42.1890346896676,42.71078428924381,43.76391462449749,42.99575640920242,39.33079966109249,44.194766576661515,47.00454735379074,44.516231585207734,47.11921675364845,45.70664534060538,50.626080537977856,49.61222750709389,50.99838488103921,50.54703815137785,48.481806261786566,47.532198623036386,45.05802732912633,44.91669524157976,44.863797268466186,40.18705675137048,40.72236935694679,37.85843774874481,35.874257553996046,37.79838344745011,35.469052881151214,32.21353994138757,33.22477660079965,34.58645751664661,30.020117419409623,28.251894606014506,31.38306187969463,31.493458482701303,25.739573005789794,26.860014196455037,28.811804311506027,25.067586839433762,22.677686698179905,26.53302528731156,27.707487057819876,31.528367272679535,33.88784831206249,34.02489658229556,36.22405868161298,41.34358511345895,43.34402394140197,46.49078387612607,47.42142690241299,46.031867387138966,48.32530791514459,45.92570777257858,50.54251481960003,49.60349161866502,44.04031255890292,47.03356337887478,50.80864972042746,46.99138907634662,44.987803436185885,48.48781476362737,48.69425936245164,44.336294998612956,43.76666002750116,40.170542733125224,41.81275013766588,44.30554460822805,42.49796814480762,43.74952439904745,45.101026807819764,42.271934810851974,39.542758960447514,40.19345735999579,39.41495622540408,35.47288112913545,34.711367139245546,35.212920821558846,32.48172141750858,30.450832816837114,34.70769075159185,33.616820906381776,28.803404049213228,31.491507559819784,35.32710347790147,35.55029770075737,38.8590720149634,38.72443284973702,42.7826543723175,40.798267281623446,36.10748270599399,40.449443239965674,41.80446332307633,38.57969612245772,38.30470488427565,44.11670429766987,42.5530249170937,37.995405558423506,41.087132775607934,45.36386868680111,42.88314075119743,39.49675853364892,34.80368372191572,38.45291868635883,34.10189109812871,34.07513101824631,28.95305053510253,28.880235993265572,24.21794016901919,24.343569167850617,26.870438628692124,30.37626952176228,30.76383441786013,32.37566637030056,29.07195534483496,32.34221684603244,28.82035186590571,26.500406173349617,28.2677588290185,28.542472976509977,27.220870158731817,24.02942018306577,23.691058616586357,22.73257422879339,20.322225174989097,18.15684877097858,19.1327601653767,18.06544493825173,19.084313826775404,20.772401830355786,22.754341072313107],[12.178439361374569,12.830159501276556,15.735387082454482,13.70517000374836,18.985759682639586,14.493939386172594,17.42401743891369,19.535688644094282,17.651197512733503,20.790019110859678,22.18026358515686,23.907281364368817,26.00858779289832,24.195703921434497,28.565915393808226,30.4467113772988,30.37806041980758,34.715529337669594,37.49524644821301,40.166192363730254,43.472030731916554,46.902865937343584,48.14347248244416,47.64836205878951,44.938524833885815,40.78084527833763,38.81161464626519,34.73963540696987,34.860183852039995,33.790109227636314,35.879958706201435,35.01583912133653,37.657202011433945,41.78309314688797,40.35716252261624,39.460706502766506,38.39380746330171,40.02493284066799,40.172817502460326,46.000243415207706,44.056440160680765,44.145774666369796,48.535117391248995,48.79423567767214,51.255598232546596,51.525679508556294,55.52797175224892,53.531732151995854,50.255930564251976,55.47783216447578,56.87271942809002,57.08057036305567,58.01543422266566,53.217156237976,53.7066253016485,58.08205878859926,56.931340171721224,52.47356107137436,55.66020932032582,59.41716068624089,54.538831967984045,54.49718074187426,51.8245597480216,53.20552318757188,51.437060759299804,47.99430861766541,44.78324998590692,41.12436739099389,38.55793941310326,35.45386982195643,34.94480738679942,36.61875753995408,38.3386149895773,42.428140602024264,41.2617478590736,47.16097829154019,46.82177275751385,48.886644244458154,48.406544223694894,50.189617968884725,47.875129928794316,48.04876434617179,45.06008913378777,46.16840413793221,43.960775591789165,42.16052258651436,44.096998131176335,43.81523358024251,43.75260706609232,45.491864405747556,43.11951800927288,45.39727996539495,41.5510196462931,38.976010415512285,34.43612789615331,33.802587498930116,29.737969715053953,32.37998701218885,29.704630691866566,30.140656792545574,33.623480028179664,32.54395284953536,35.69157241649499,33.747148957747,37.65458945883613,33.095448549771895,35.11427670560117,34.57561261604134,30.2638688889597,29.935899827314906,25.31289804229425,26.84088327549366,23.172842018413068,25.21914959597855,25.386317774880293,26.51784222656394,29.67890628582525,32.271706548279326,35.097966614182845,32.545020174309,29.689964324259893,26.431346722749456,25.378847229616404,22.91983181966937,20.235911146140946,23.333198451425403,21.528730987342414,25.708426629592566,28.199507297491724,32.79269313128552,32.740284930188565,36.621700745406564,38.399105080344114,38.35890955366196,35.70305057188644,31.777271021163926,30.770283948035196,29.449192764332725,28.93245623240617,30.640086944924096,32.202273265853066,36.64276487504714,35.7207072515069,33.155023578759824,36.61163207758002,34.194910397437326,31.209862806159535,29.568168777184745,28.63970804864557,24.83881735270136,25.255023197382855,23.15897329346095,26.781752313268065,24.18376356224362,26.119610442732995,28.327694247479393,27.687731803411797,28.8686550563216,30.578344628681965,30.980278878100002,32.39441377416089,35.09916486001241,34.34301064963047,38.69865075107297,39.71433645024453,37.901072861134686,40.28509587134519,42.67111903709418,39.987696626380064,36.60193142404828,36.084364038351886,34.154601704468604,37.094106878701716,37.41590514064415,37.91401994471084,38.03199804114883,36.34969243381019,41.173291696433516,41.72219755243915,42.307855967066004,41.49267430901395,37.293934558405006,41.950761622034165,44.775959642057934,42.5729759394463,45.798254650625815,44.93735032815785,49.64664594016151,48.814803059705724,49.68807934157819,48.92892937943407,46.616055791126904,45.261431752025274,42.4935070855069,41.968330932477215,41.488616598873755,36.7446652074333,36.85006300037208,33.622206976976244,31.74884286247624,33.11432521940583,30.910825352475534,27.846666243247782,28.369758514855118,29.474276983156006,25.048356647436403,23.19640219244463,25.962918258586452,26.059083476110413,20.27408982680251,21.171682856000533,22.993889856904755,19.371128209360972,16.825704777841942,20.591031680537103,21.890884232313525,25.588772113606954,28.226489984905676,28.320059892523783,30.379902875856803,35.5552527990879,37.45943469940848,40.7181040853124,41.744003305241755,40.52655087713414,42.98621535707866,40.855767955235926,45.47123672104351,44.30281999691464,38.9332470181421,42.16387338125091,45.80442653902915,41.97403933214196,40.237465208800565,43.9455236463775,43.94428282860707,39.5671613039697,39.55446206137311,35.57547001457718,37.57262601878477,39.82093249843797,37.72473329172604,39.218439056460525,40.40510625362776,37.97970236406442,35.036411917087044,35.316071743334575,34.90351263955799,31.080785485534648,29.799679238801403,30.298495557819273,27.719169104045985,25.334978186524737,29.380888888221193,28.421858050791744,23.554523732365965,25.8836496528619,29.71089818499203,29.86260092782313,33.31007659334041,33.40780674677987,37.358500442066514,35.12368737205873,30.564578816121514,35.08297772861934,36.21821259548504,32.95903494834669,33.0138449499278,38.71882084361907,37.008013784766916,32.663044100205646,35.99951099729463,40.07353547528626,37.55788775449343,34.34113365606549,29.73473839871969,33.46043295704796,29.250990182390787,28.744820746913515,23.762274910631117,23.528608156785015,18.8786634632555,19.367193264845472,22.119952098796382,25.757238331863835,26.367276137724726,27.662540540165505,24.790958160728575,28.26821296341526,25.29551295173086,22.144460620853593,24.16598723747362,24.163794080053716,23.63053979139637,20.128475732864295,18.996035380597036,18.68140461479495,17.034171428390152,13.557446856774426,14.586491341734188,14.345015276864912,16.1124459759597,18.005197226280476,19.826734155514455],[15.282429629939635,16.576659432430738,19.941354054869695,18.03437388421132,23.491080366957657,19.0403169378435,21.829154199667734,23.749368019653026,21.491269017043432,24.444292730444683,25.427732509337226,27.214644678553597,29.63069718441791,27.444320164018585,31.629641091404707,33.78975840407114,33.86772736290937,38.00782571707973,40.66329653919428,43.59876022627248,46.75162918263008,50.3542599489412,51.41985252057216,50.94510411122733,48.43244972350592,44.17612081094761,42.45918227812317,38.3952951688089,38.47762787844651,37.472970243229696,39.015221331997935,38.486292488021384,40.84918653084167,44.94024137128677,43.81057715785877,42.96339491382632,42.16884775439002,43.83656812160721,44.12623324367459,50.076767310206534,47.99489215471815,47.85327890634258,52.27450876291616,52.717920154068885,55.1585535772264,55.55778666872364,59.53058171715017,57.508012732608556,54.37563883221779,59.665342065951215,60.99437868815589,61.288414524811515,62.126856848405744,57.22245056752215,57.73290177641143,62.02767975041258,60.797623126137076,56.273645449450164,59.39132262515486,63.13243447590216,58.1398248869604,57.85551414545111,55.09156224483501,56.31375127748156,54.78251307030555,51.394491139241104,47.87078626188702,44.22100539708766,41.39709330733248,38.18371009894099,37.51160849843532,38.799239194723164,40.74681565122107,45.00661442780534,44.081010359201464,49.907901412559504,49.96290204460442,51.992823256941875,51.78612839270182,53.765597306100084,51.64048814647084,52.021960455143265,49.12842165594309,50.38495154636599,48.16657399820997,46.204471507504074,47.92272183479558,47.58802389448121,47.26256384915461,48.78434543589385,46.199466002622266,48.14263316411263,44.26021329478121,41.75346179461486,37.33400072312767,36.321159689048756,32.39917880187499,35.42431669291142,32.95727336231972,33.380077045728925,37.20632144228535,36.42464880976145,39.68453633069257,37.97585504885319,42.057862886395554,37.56828009314657,39.61317150013844,39.12873057737544,34.80950853520431,34.437164853570465,29.852837692957657,31.330048062438095,27.542705599491992,29.496300352261667,29.303818845369435,30.372591537625375,33.331667925043014,35.68427540989271,38.304592718292724,35.81336045173285,32.83330696287299,29.721790500132876,28.812422303361757,26.669357773430658,24.284574587797238,27.613657702049224,26.071055596709144,30.22851997271034,32.75878501073762,37.34891478762124,37.26353077846823,41.16707545706452,42.92887016440887,42.91820238118882,40.20151970727166,36.23289445079373,35.157084300610386,33.703940622078534,32.99917287241134,34.742186218572336,35.93610729735382,40.32285721929532,39.418958772031694,37.02517385778572,40.551167578886336,38.140762599983844,35.22588575294099,33.63815314100467,32.88681051493059,29.009821204059378,29.515642929485043,27.081844256503192,30.567247094172114,27.4183818671822,29.354232263630458,31.938956514038136,31.46912162191205,32.938827322129306,34.580493952953745,35.31061336745296,36.75830258281389,39.251181453919465,38.52664052643942,42.894315006041445,43.96780081135149,42.04601764012694,44.594578587226174,46.87302761039326,44.23784956522559,40.79440687286942,40.41577010874008,38.4518181292059,41.47006945477805,41.80638603127978,42.23410822190151,42.33628361326543,40.457622578200805,45.33064569292319,45.969373044943765,46.659212384050036,45.89750821528162,41.775321709470134,46.474825906280465,49.29443905168337,47.04151081341652,50.16001412971391,49.160799886638046,53.91842551800286,52.96570589879316,53.99080319261673,53.26153012767149,51.02048677831683,49.68670287810257,46.94691096765906,46.45018835682404,45.93327274177183,41.16575937820978,41.281294645046984,37.96681902782634,36.2012782029169,37.388025830804416,35.22920493698625,32.25988308273612,32.56338189525781,33.52874663327592,29.204217167529052,27.268678924638593,29.768876940923644,29.770447524717166,24.100191853295282,24.677677488282473,26.18690469109943,22.6899599542575,20.04522711033832,23.260023110345173,24.865403606163394,28.228789349342104,31.12616301335314,31.568816293034725,33.41373177901508,38.68421348843409,40.29097809120481,43.87333824968737,45.09417662924582,44.15206524515031,46.764376722076584,44.852240334420564,49.47749835353154,48.13820361816349,42.93971081435676,46.31645355679813,49.83624907038305,45.95736319211601,44.39942620120339,48.17733528238073,47.957586378807946,43.552132664357984,43.822852611984814,39.7901770971722,41.98527453958007,44.15654521786444,41.92733917534968,43.45616268099454,44.444228734725556,42.16898092680247,39.2883738574466,39.25933801982369,38.84369610344579,35.226818276834294,33.787754820049344,33.982273758450404,31.36915749280141,29.067486227366114,32.803188434265095,31.579317225134,26.72918230373455,28.9846813395571,32.648562296525654,33.04924634363204,36.69288829204688,37.134950320242844,41.012118066120664,38.473781273952774,34.199189527637486,38.893751769028064,39.75658185490443,36.439548241616876,36.846853885822085,42.40711055092966,40.36985684526468,36.222710934040016,39.80108162842661,43.61358088975473,40.833588369159,37.715289370539864,33.12783821164662,36.48469317380316,32.152228202482235,31.523633369731048,26.781635712678327,27.00659891137469,22.577199968355274,22.69680838106946,25.692678210988912,29.197890762114206,30.155609141504684,31.656438502099448,29.10052617261438,32.69288133410425,29.81863547083594,26.58907903314844,28.590749699564277,28.37725511871696,27.89742914630575,24.593861796304477,23.147719336057285,22.673826197869083,21.375862828911092,17.86766424167115,18.307256654356284,17.612141739837117,19.409000324128602,20.879969901774896,22.557655644602463],[11.903899560199022,13.815659750384178,17.955549911760958,16.881260281804813,22.700523407172383,19.416217293406675,22.926394235722707,25.29593364227621,23.946214419573877,27.138070787314465,28.70691393885268,30.381213743330306,32.380595632602834,30.599925824717875,35.07170090994724,36.91149138588515,36.63956235371454,40.99491944326133,43.536061118771904,46.250365771089584,49.46352895784739,52.84335404648614,53.9550277150407,53.21752549602252,50.5797952065725,46.49576062434283,44.581560496782544,40.612213366150655,41.01869287859137,40.068958872007286,42.3827257287254,41.443176631860986,44.1527140242935,48.30314924051191,46.781926200675954,45.811726684370775,44.624001978592084,46.054842827784825,45.967102585543834,51.66031570222417,49.539316106942806,49.96575031234673,54.38114466689535,54.432982994687,56.692937690237756,56.70098168604275,60.79602049834543,59.070660593529325,55.601040794726465,60.67519195395783,62.373910280158945,62.54592960571437,63.69197461904146,58.94611957549955,59.57270357805067,64.02044536915909,62.83496240716148,58.50230803700124,61.812046766981524,65.49272707373143,60.611404847267295,60.73099879872887,58.166689821439064,59.43403991146745,57.54493554602841,54.19084612176936,50.959437316503156,47.42977211014622,44.728263092346744,41.7737157640475,41.09763083245876,42.695858476921906,44.64078611671536,48.68300166662839,47.68706966952802,53.62858597704005,53.234638415218114,55.38291989268014,54.81219793628981,56.46895165143944,54.07888157367034,54.020651829888514,50.97375520391872,51.825809957575636,49.547400582877884,48.06057505300564,50.167399388917424,50.03218681086607,50.07312722978984,51.966681824987205,49.62647381631076,51.93793351038809,48.1055908806103,45.54250074698633,40.99996140042825,40.35779361866318,36.300769018173085,38.89963160090503,36.143201954251616,36.30167841037672,39.87762225510886,38.372727339144575,41.64331414072978,39.23413017236014,42.80143842608129,38.003922068298756,39.492836819409284,38.61305903172905,34.12410351690048,34.3402717552752,29.778141526840855,31.884197126896467,28.672293624721377,30.646890190454133,31.30087864394667,32.095734447975694,35.44103146537412,37.6398528378454,40.76417475013243,38.56014485814007,35.58791167062381,32.42701351589842,30.892503699404937,28.51581273736399,25.867308651881135,28.320340900024863,26.084839029422337,30.280522582977234,32.392776952764365,37.1782760292668,36.29556194560998,40.15123723719757,42.15742376667124,42.62991891296543,39.821775534714114,36.18772016420531,34.35772448254045,33.55563187098556,33.24702017064629,35.46408822785394,36.92018954205877,41.4275533650457,40.9531188052011,38.45238838906517,42.09157863001918,39.95598674833098,36.862532356809815,35.442852664477755,34.34476812175415,30.72193085635497,30.7935392775293,29.017146543923534,32.27489143133129,29.627924897073225,32.05031172901399,34.286926551772666,33.81909862535835,34.64369748700992,36.615877556467574,36.4814513023211,37.7341818020371,40.81101403315887,39.6013129492073,44.06933595119821,44.569746568133105,42.27389488934336,44.48512557807123,46.519447627267816,43.517919951837875,40.36398652412899,40.04953415720377,38.63077068810167,41.90897867641554,42.52542795450526,43.352631707194405,43.56945899897901,42.24749438493981,46.945612306970496,47.347885601858565,47.70680126717943,46.613782442924396,42.26716783823367,46.56501122405414,49.23205670199774,47.14042004034941,50.74690552283514,50.181383481439276,54.64367242311258,53.55257627089379,54.25790902700857,53.20068819698945,50.899748317697316,49.13485419171374,46.20085463838888,45.42921668519551,44.47569901297077,39.66696807280028,39.560819946950275,35.90526771669542,34.62538797571463,35.24858203099007,33.57182397916504,30.731324722339785,30.196168110930895,31.13264367575505,27.237781300122037,24.670477345858675,26.78855740782568,27.27764431708954,21.582722069128614,21.42846011296173,22.895826514671896,20.057013393207402,16.704424418194876,19.24019917482358,20.819487657107906,24.165635707553694,26.775082846434483,27.696600243290337,29.512617744411354,34.77424296342699,36.35983831089705,40.04266060389613,41.68198691270513,41.00815189012272,43.93155821640607,42.45520347298863,46.89569984717412,45.11679274196331,40.15120562028549,43.858553678973756,46.96261574753176,42.930582577345824,41.7667797380511,45.68834270078218,44.93675592187017,40.50566579848651,41.501783216936204,37.3047065415893,40.21027935319045,42.19884507470037,39.86512273266367,41.85918445101901,42.82019861372616,41.06733358190222,37.81008080041787,37.51506798634843,37.70387442085346,34.1866793434765,32.08103573917857,32.464818140707855,30.178246428107038,27.331402969084994,30.653884057284998,29.747482621620335,24.95378493945717,26.372313464227112,29.917045042345,30.073797168825806,33.93613733594618,34.70624580818521,38.26357031343233,35.266083798161475,31.17531533313437,36.00885400551243,36.33898162747659,32.89857746533114,33.68818318451827,38.97368368967539,36.44575769723062,32.54256204407505,36.44479837901153,39.83149621441151,36.73125112966448,33.776033489878095,29.294179982575294,32.25280702007452,27.931523089409175,27.029328013112316,22.618815827798144,23.34499940293439,19.381726180423794,19.079894136864187,22.36914419446167,25.68899221434356,27.17926615032304,28.809575196739424,27.09756597425595,31.016318551286147,28.835488391762194,25.227096966801398,27.788160117004384,27.519649403263315,27.95173237688782,24.17138939480318,22.148932015849685,22.659939137330976,21.93828190169934,17.280331590511476,18.07739962959196,18.419155579037007,20.786239708810744,22.352128527828732,23.764892947881695],[6.729615738228841,9.280793315401128,13.761858261476283,14.336212455875911,19.720402022488976,17.133970871264726,21.20474251215359,23.483961962891136,23.227517151397237,26.869838689389066,28.839592404115272,30.025890557900972,31.88297952021314,30.900024175302747,35.383307779897855,36.74329005121474,36.46708623029222,41.06917447999833,43.86349840652252,46.09143868190194,49.547816134374784,52.60805174750408,54.02304591079052,53.26390797650342,50.32091664961379,46.4566943493566,44.11755367879729,40.189919511235416,40.56406984699869,39.349353350762186,42.41992979096753,40.774477866674516,43.70738249218683,47.99761552989813,46.149176528388836,45.31438484233347,43.56444330361021,45.148883502615305,44.82623328651993,50.14543834489777,48.41805685607547,49.30340273577688,53.59495773427444,53.27656467792256,55.56386226303635,55.255514904331854,59.38927462731004,57.750705887359715,53.96841910651268,58.80242282253339,60.64941880513863,60.55372332920538,61.907957796298724,57.49668290584561,57.94541564798066,62.56283343226001,61.648076397006456,57.44176982254643,60.77345829881298,64.54370694836626,59.96902339823366,60.47019406282,58.0063115708334,59.61298060635106,57.402198762712096,53.93941104551554,51.27380927677436,47.702928180445085,45.47276243092537,42.62141219440062,42.237346682754286,44.273784264308404,45.838805982603226,49.67623574881705,48.25658164822812,54.171198963263464,53.2682875700832,55.299927117332906,54.36175289685871,55.74268643328355,52.94146387556984,52.560757836928815,49.17357353067785,49.76012670618777,47.679450643138644,46.538476863644235,49.12488369797182,48.88863115543862,49.53689147772744,51.54218479340141,49.637839097663694,52.34862299162978,48.54254358982224,45.787581010618844,41.21185205509055,40.97431878437837,36.89040026071784,38.70110049830782,35.59036314060415,35.238239977389895,38.65844424217756,36.337296288911496,39.76714817132397,36.68049034976763,39.89544437301813,34.93358841029107,35.870430906051816,34.89395411176339,30.334743033679807,30.816222750372333,26.49981918716462,29.31014167821563,26.7282116732614,29.07017356114045,30.5704554289263,31.501248210981483,35.1451727986792,37.68449522625176,41.11103424990142,38.819853919536214,36.11369533094885,32.79006489627093,31.078388066702324,28.245367334127593,25.105572906273974,26.757344542166546,23.4701946002392,27.643944071923844,29.23396131028632,34.00088067599511,32.78194513261342,36.347099345425015,38.74799758584867,39.30593484914591,36.85724018166029,33.61770802400161,31.53585994776315,31.503550570736298,31.790770110472792,34.0853244591261,36.239255235405956,40.809651828249166,40.421163364182966,37.637313547776834,41.082876386294764,38.956347035225555,35.784301711970514,34.18244370266588,32.5622561648357,29.102742811451744,28.4852172147805,27.22652454252844,30.00927474130577,27.872308293090615,30.7816550828618,32.67031272057664,32.400411207061126,32.56346286155609,35.03388293616655,34.1524228273148,35.60690569566472,39.238766338626526,38.03842745385462,42.39116151045595,42.65386543010265,40.49199158739514,42.15832123427831,44.273329119460975,40.96985791325183,38.163262479641915,37.58510070146645,36.5548794577485,39.65949580343093,40.23827838735361,41.220319658630864,41.27481387920203,40.485773789955665,44.818834362151044,45.26196534041217,45.22830839504656,44.1798348687538,39.472834767021396,43.53476463808729,46.19545808179077,44.4048364016657,48.44131483162841,48.33241186059149,52.58015288991139,51.75817352984193,52.002672515338936,50.74651674574929,48.23469315862524,46.211374125844124,43.083429232324676,41.99439526705098,40.72846076796484,35.98406190403748,35.45380537369019,31.58211749685933,30.3503548483414,30.45695032214619,28.888172518936752,26.334795098316455,25.410149645242747,26.0362021783086,22.386238474599566,19.914648679444852,21.550623129877888,21.981179373973102,16.460470413773717,16.055000361657736,17.35140091856938,14.760369060797819,11.287081950096619,13.670210111209832,15.391524406294808,18.61330870785857,21.59671920676988,22.287942648889807,23.95651402743623,29.241798576838082,30.802652892993425,34.48282974528639,36.09633247913081,35.5027020528342,38.49047874591367,37.19582385964429,41.609810747081546,39.72905751262284,34.95007997654709,38.77251538497806,41.80659835410349,37.8529000309794,36.88339799755097,40.9279033921909,40.13516755090142,35.76134856923552,37.14499436314458,32.64607234054455,35.69485533869591,37.424600419051366,34.868689870038374,37.00069961975405,37.82645368794322,36.41453986577214,33.0482061630504,32.47143711822556,32.97559649754605,29.623767667621937,27.125835956188606,27.55228697535015,25.49512833539043,22.37142090226263,25.438927848513845,24.76003764440352,20.062391689227795,21.03126959195064,24.550069784072857,24.56594699016583,28.467364469366228,29.365828552157918,32.808366477299145,29.69780830272742,25.723262917752923,30.631681846311754,30.851498959495135,27.438799606473687,28.482365461791066,33.653877578093756,31.155557243562736,27.466366768683088,31.493136695157872,34.75442185761701,31.785607367644854,29.016565519148706,24.695984235714413,27.891389618307276,23.869416506089973,22.391494429038847,18.15871608613836,18.45318454108624,14.611569915488747,14.989946909706326,18.33993357051686,21.743963196630727,23.287343401931356,24.371280458802797,23.069305080209784,26.96476390799669,25.375103009282192,21.117905873731157,23.751005066616347,23.239472947321858,24.39683775705473,20.58399700178737,17.914400696435465,19.118588723410838,19.184225174259108,13.798908426829804,14.602358494648803,15.896604611594666,18.64112186803153,20.294408685480605,21.438069311629178],[9.61998775517198,11.75566322089058,16.30561205703688,15.968345289670408,21.758239848340065,20.1331842778225,24.057251387664607,26.928810279985075,26.45112464505984,29.611493318328424,31.76641592982419,33.42982387404344,34.79213427116586,33.37624436733399,38.09743335488516,39.59379590834783,38.85992423245371,43.344560871436435,45.65709204338754,48.12654709505521,51.33363077190676,54.438638469059406,55.55664824084981,54.52004377057735,51.789275852291915,47.94429743976486,45.87981176296685,42.09498272821713,42.906962185101804,42.12454527973253,45.232065957051645,43.97446979793628,47.07502286051119,51.180347897545545,49.215577574774535,48.03444234969964,46.50330476974471,47.535210419366415,47.01583485192984,52.37564581096775,50.15479008889863,51.19725523235283,55.568808437497,55.201656624668324,57.20495959375917,56.79190572398254,60.976852062600166,59.62174052090256,55.84231296268083,60.633849814962744,62.74770121771466,62.835226118674115,64.31389007296067,59.74414682649346,60.566226726814236,65.1219872300101,63.93247183587766,59.86959592685343,63.40569943261778,66.94138364547207,62.17953433285623,62.75593067790613,60.46136394326291,61.71168286795312,59.42656713456431,56.167778212455275,53.25144213111148,49.92646169662649,47.34698538707283,44.74759473712597,44.04259408661251,45.96674375975094,47.92048212925568,51.662570344557565,50.65121245765438,56.697192122409994,55.79785860965131,58.1262128861604,57.1471597267425,58.41137777890273,55.809600284387486,55.24310360334359,52.151606073726455,52.51977532434853,50.1279283499215,49.198186843252415,51.6522498108711,51.832731274835915,52.18905111926981,54.56012783979813,52.460315050970806,55.167779301984886,51.4492469676776,48.90708943678303,44.25784838127729,44.05521126778989,39.8743322457174,42.095126856951175,39.13259667631569,39.21794085855606,42.29670200605516,40.17177609132766,43.23281839017652,40.19232188937189,43.06501990855117,38.03346651521989,38.969267124292784,37.58960917078841,33.0418178411999,33.96819527651103,29.5019263734597,32.07400302250311,29.557791203304262,31.349874282974113,32.83456281084593,33.24137255011319,36.8984658163109,38.83584418264229,42.440884367900544,40.6300964434375,37.70475384123038,34.58588288753236,32.40013894887074,29.897812352774817,27.149583523823356,28.576574950049462,25.860434988180103,29.891137308271855,31.53826829858161,36.42649598693609,34.64122558384415,38.43558982187429,40.5680503648906,41.62954852880778,38.65236848323244,35.4356570210191,32.787996625462135,32.65415371316433,32.736437890552594,35.422075477728896,37.07032400146119,41.62131006877196,41.63373419295805,39.09344253527902,42.81557382174961,41.06463382411496,37.84279478603704,36.72503350232403,35.37286688625398,32.18586385638903,31.967463581882292,31.032078893543247,34.14895912369157,32.26743721840375,34.93707964907532,36.652198777231135,36.02909213400728,36.18626696328091,38.310458533601434,37.26347891146972,38.12153315344037,41.71548225866516,39.91426551128103,44.43271375457974,44.264067241288565,41.54412753235612,43.39976167411215,45.09787233611864,41.76741806850035,38.965055429354635,38.77560557893311,37.97666790960051,41.53093648415795,42.50032435401686,43.78799005685196,44.22306681810715,43.50165531006522,48.01092285277934,48.04120731664807,48.0868473416505,46.54502642825479,42.123083442849435,45.87462899389215,48.29507625239485,46.35507231211555,50.402471777735826,50.280357242198264,54.35870395037505,53.06662013100729,53.46086422055973,52.06228500619291,49.76600186888697,47.55882249284114,44.48163769755808,43.472414171306355,42.09065258810424,37.30663967146304,37.06454743747849,33.1460856449175,32.525127864960986,32.64443611413041,31.651011979699547,28.90969009742722,27.435702517049126,28.532636205977973,25.264755293333756,21.82260775515277,23.628960320286772,24.98465776680956,19.364065129363848,18.300150098450175,19.955246504135197,18.186524890463524,13.941855772839107,15.561426096992033,16.702044256250552,20.296783209258425,21.942938675116263,23.516292473672262,25.502465342649028,30.60337409881669,32.406588512699315,35.946676758546026,38.08005075993271,37.574915658379716,40.79010463894276,39.734177487201734,43.85086827799801,41.61840034504103,36.84763040248436,40.83931377986487,43.41378730936639,39.19541536008662,38.420733469016156,42.39159151210944,41.03953279412935,36.61781028630932,38.31114307638416,34.11707551872787,37.81461326480581,39.66848640210097,37.41474730862969,39.954688184516755,41.0555940235457,39.81354000741876,36.10957239962483,35.7737452070669,36.67486389498307,33.18815953340384,30.471652432850934,31.302523306472356,29.484606162817315,26.033172537240088,28.939633750031113,28.617827785006117,24.05992859148631,24.39156814057554,27.769539056795836,27.41737911451298,31.364863260999343,32.30468946413067,35.4211782347146,32.04585808880856,28.053869792000715,32.846851662878855,32.59757935339905,29.036407005395805,30.043466609787266,34.988608779737206,31.945031770950497,28.217043037886004,32.353057641447066,35.2951521322005,31.845979863258595,29.00933074042911,24.655184269262246,27.095709999006388,22.77302049967722,21.778116337780272,17.736663401870146,19.201355475227725,16.03505372568387,14.939015643185495,18.41541000927475,21.354834101943847,23.426897258459586,25.313742205996643,24.60564366398722,28.806465458138234,27.420020604893704,23.76706462297483,26.990396017182153,26.889898476705586,28.217592935994443,23.923854862963765,21.68019922366588,23.336759852196884,22.934313447263552,17.538247656595612,19.05081051173206,20.53076066415079,23.170740567412157,24.9102855530045,26.0937557548712],[9.757960567005153,12.333340502319164,16.872828292629176,17.910996007548672,23.17556599601402,22.17533773868656,26.360508289876737,29.046532026803188,29.192592517329135,32.61539392965504,34.89125759840505,36.21860243760434,37.62307383046022,36.64026368189617,41.30835210402699,42.564262458053776,41.886461989128044,46.479668158673405,48.91998253308618,51.12908280361107,54.45178033884215,57.370564970327266,58.63955541439199,57.56847485400981,54.692561353451765,50.99091849840911,48.71211463687562,44.97807802700664,45.76668627673341,44.813915337396026,48.28169313990968,46.61373111942149,49.76832692451703,53.974987719562975,51.877155017766455,50.82159072578735,48.95835653836755,50.11126679310503,49.44573312582714,54.530135357882116,52.55034982820312,53.89225875227753,58.17503619807749,57.56582701842201,59.554526898936025,58.90538622728234,63.1092587519771,61.85398824431782,57.8644357403106,62.45287145900404,64.69589235455165,64.59543370359529,66.22907879155873,61.90473227548649,62.60858797691222,67.26538644009044,66.26114006978895,62.2953130057701,65.8260192264248,69.41333736491833,64.85733144757101,65.65230086158834,63.41096178805038,64.84833091244096,62.40057568103514,59.08956805359319,56.48375294689503,53.138568584840684,50.801041985284364,48.23683102746081,47.67578580577131,49.768098026755005,51.54595348959544,55.20901594336872,53.981594285917936,59.98649896375957,58.8525089340786,61.08021086402716,59.92058267710259,61.03809181690723,58.18392795295854,57.42472296833259,54.1035004839232,54.29173029860532,52.05389375534798,51.36955801245178,54.122140289514,54.211266620651855,54.945405479349304,57.3199312829923,55.473748262484314,58.35366872393296,54.63365597358257,51.96571568936408,47.33588251083359,47.274330047165634,43.12234738962604,44.90899352601305,41.75535948752462,41.41810280436565,44.54023954391335,41.88119397258324,45.11911900994347,41.61899012463668,44.22517517535189,39.115369887786535,39.53122293987925,38.06276526846262,33.51480898449042,34.696178406328755,30.54187358168972,33.6490056106071,31.622582619072663,33.633267626809086,35.61410801368886,36.083512764027724,39.88012254423684,41.94591541644355,45.70957764122074,43.88174112503078,41.09634838165709,37.91857760079272,35.647013703311366,32.94722632621628,29.97502338893876,30.879129907845883,27.50323850068604,31.423734042750127,32.60251995891621,37.41263550074838,35.23677556147231,38.729428117261506,41.188456360122366,42.4080756808582,39.7105319029272,36.87952443699438,33.92484874032212,34.41958785861487,34.90604124190061,37.69754409143582,39.7110757306209,44.26155042558624,44.39481472876721,41.72750437795664,45.32771809346543,43.61817895646253,40.37044738399225,39.15393989014711,37.47084962778216,34.40158302899601,33.67905131658564,33.00201074779392,35.64357824419122,33.91037881889954,36.96758590865961,38.588142090572006,38.21191598647892,37.96713547683953,40.45921869452888,38.941173599789565,39.95288308997795,43.903549785164145,42.09096258564814,46.507769364754566,46.110887652000876,43.40840560726056,44.848949878383934,46.490119835373065,42.91494532009079,40.44828770157745,40.140379484477315,39.72290291793234,43.1806207590955,44.15569208507563,45.56613337985422,45.87202011940695,45.52839775518092,49.73400030572361,49.82266694198647,49.56945564761572,48.05996439417502,43.39592968676302,46.88744394634527,49.25288463667841,47.5723316428139,51.9518399321699,52.184311469190995,56.051512174250234,54.893359846115224,54.944547974996006,53.352023763304075,50.93630614309978,48.470190842819235,45.24733074166723,43.95163985301303,42.21333391557036,37.538600816044664,36.909028151204915,32.76142546791428,32.38523145225738,31.81762871669365,31.098257254221036,28.768043276404025,26.672526534383373,27.367877330329293,24.639678679013606,21.220783308258316,22.196194707458147,23.551977484611914,18.534795818707092,16.818395751160814,17.930200325280794,16.95511985514241,12.752332424504031,13.036805960058276,14.4038207470427,17.302766990156712,19.220587740847716,21.09342362434755,22.674442060921862,27.70247257581309,29.191002477408382,32.965006623567824,35.35482351283187,35.2357305007495,38.66541785187488,38.08055514925463,42.05445309552968,39.5031873542465,35.18682214525187,39.40409443626757,41.66271248482469,37.49758547567975,37.15645931447717,41.2525983045765,39.57160081275594,35.25349917877377,37.65924319987923,33.22203653450675,37.2798086899138,38.78348918530523,36.27055613933532,39.0213474203953,39.84837616020133,39.13835933623431,35.376080596135346,34.542341725339234,35.831804243330694,32.7225705153382,29.50842189658745,30.193881192798077,28.68647374605118,25.073492736646926,27.305533519741495,27.10114626797866,22.88109053325875,22.474324718248678,25.490129770093827,25.11981470182619,29.18402011330627,30.567528536347755,33.33740323609188,29.557848887833224,26.088457079650837,30.963907133654846,30.219761157410744,26.692134377615204,28.306487793980065,32.80549486696684,29.404174695913255,26.2321307600315,30.66866264960631,33.06525678796155,29.463553158147704,27.017567262235506,23.02382907966028,25.098117511487565,21.103649624546893,19.35836412441055,16.13619972654699,17.78358640911712,15.435888632629776,14.517224402496275,18.019372668398137,20.644725841680437,23.107032283075778,24.634201225326922,24.756641797877254,28.91889446047237,28.242133208674257,24.122015635059903,27.34896384551284,26.930496956320702,28.934566931075985,24.814080658093857,21.95081758842971,24.074285249822818,24.47555404001731,18.736163719459693,19.89366025460291,21.79667959498155,24.663922988110585,26.232011341813834,27.080180878307807],[8.840450649876905,10.495633759071147,14.68546566063081,15.20025279242567,20.379000321747974,20.407403163126617,24.4696602863703,27.635970263220376,27.993684191629942,31.059140049041584,33.68145964175306,35.248415664976896,36.01537906273381,35.04758971779034,39.87305625251608,40.987592765277356,39.88828272213802,44.44465119749533,46.599099761991916,48.737070313693216,51.95480450464413,54.73974118501126,55.92437699378558,54.666822184838935,51.81759197566899,48.25580525079491,46.00501044370624,42.432650453811085,43.5460090703756,42.87236222818986,46.70765358966543,45.108673958796935,48.53685318072216,52.56483183198575,50.19560781310629,48.8663073327915,46.99088129902593,47.69540946793392,46.79208987476097,51.749702470688106,49.54950611403805,51.156798090653844,55.42149317181119,54.65126350022113,56.439807582294115,55.63633023524624,59.863800597145534,58.826608306237695,54.77762980900329,59.25709553259535,61.71130756791519,61.68817783007114,63.45981043840309,59.12287560662507,60.07516334613328,64.7068272481351,63.564776785065305,59.77742099171,63.47553483209328,66.87905700615825,62.30491899598933,63.31912724556921,61.28143478948246,62.574235944108835,59.9256941241855,56.74999832695344,54.232846958822456,51.096613131854156,48.74810431661463,46.481046038145465,45.83126759543444,48.091707562269306,49.93587463658486,53.354228950149356,52.2498283234286,58.319913256343945,56.91586172831937,59.35634378273796,57.98228037734762,58.86177001175468,56.04829707183455,55.01457232940729,51.88329429628363,51.8019763078089,49.36544552212022,48.96058100917201,51.741881513810334,52.17442206926576,52.875947234999124,55.64544870813407,53.834101143308914,56.917487304995696,53.33555145647897,50.812986772652124,46.12123462468597,46.35656712189254,42.120148354698244,43.89364074440542,40.769828504620584,40.78702674004073,43.32458149379324,40.65295941664353,43.455752096276385,39.87777705559134,42.04953890849906,36.900416223964946,37.31012699457501,35.49917025794699,31.006977091177358,32.567167770331906,28.32920938168387,31.262772275980172,29.491761248045712,31.110578639932502,33.35899802020752,33.476167917453836,37.34614762419847,39.129445033125684,43.10380790817696,41.596764026934416,38.82475882984236,35.76713670741032,33.11247727597596,30.485010831261665,27.664923866669024,28.07299101927167,24.92251427628785,28.640612747522436,29.77696494086335,34.62468602313157,32.065606745063455,35.70882154959824,37.94350839331216,39.497472013407055,36.46662762927876,33.72282356906877,30.42378729590825,30.98485276759479,31.507703412520684,34.5085770854628,36.44152531149688,40.94513630090998,41.33963205161211,38.75111058790765,42.42466484766958,41.01092303110057,37.73747036854934,36.861766954882185,35.265644212851655,32.560848290315455,32.0612972873834,31.942986302896873,34.870036757642936,33.805012888638274,36.58778119745745,37.74900402670324,36.98177267412663,36.50792265077698,38.734415880180315,36.85258510794604,37.3636510105479,41.39080822415504,39.14262251960173,43.601180897938114,42.85753598797311,39.87864737589111,41.30939092743251,42.74181589403815,39.13781782564226,36.73171163814674,36.5869624661932,36.373622203893255,40.05086599757007,41.28892045078671,42.9616766334706,43.56376776252216,43.423257761024225,47.67102970419985,47.37606529457089,47.11634960027979,45.215223113361795,40.764297701593335,43.965834201468176,46.145909904047755,44.393354883318146,48.81160655153601,49.124455073966075,52.8127334158552,51.43105443616177,51.484433549216895,49.79678644334521,47.49277890032443,44.91515234715066,41.7313364762592,40.497857631412174,38.74724079455223,34.06352618258256,33.67446318919863,29.591275390680494,29.57348084048,29.261863141626826,28.930770201499243,26.327921457130216,24.03923495579395,25.327076708079026,22.746860278699227,18.56057164113569,20.079577336754845,22.344851351654118,17.011204148559862,15.14075581282878,17.09634084437224,16.510915325912084,11.701954336610243,12.403231983149727,12.716376860464901,16.71312709731424,17.031338763170222,19.13403141738025,21.411046775055073,26.23654911471285,28.4200350564989,31.610222171224038,34.102710373444886,33.622505967456,37.01160083887478,36.25715689105786,40.0328995269962,37.472264563849805,32.843669793297344,37.005275490664296,39.12210566307424,34.77309394457775,34.298269268497044,38.25873404956871,36.44681917402175,32.07178643840038,34.31019577030633,30.173747902202567,34.49928144137216,36.2280854426254,34.130334692929836,37.12520550293589,38.41826524175502,37.59252803831059,33.526908071331746,33.28558154889234,34.813103688224494,31.355680313472547,28.207174742174754,29.554196251432817,28.228444040360873,24.31462292853687,26.865911456204415,27.205619829358202,23.035183113009737,22.368948687249368,25.55215186450396,24.59666565182521,28.43945451591288,29.360570292967903,32.040258765922516,28.498120906609316,24.52614451697209,29.116234703855,28.429085646063267,24.808867497854987,25.851502279060057,30.484807926773634,27.10396225381346,23.467478465039076,27.706267357432765,30.321373683033766,26.660576400558657,23.89420668514949,19.678199336502676,21.77011239417425,17.515964352705893,16.448678371473697,12.692799792775565,14.79962941265537,12.649250634569022,10.798796090498554,14.263884747699853,16.76298723767875,19.29709123320743,21.2959970965266,21.552872614176795,25.858708865790184,25.278236762579738,21.737804280040713,25.454955459825047,25.582792239495863,27.65262821370013,23.045750716934716,20.82135621504043,23.4577863317565,23.276453857679574,17.652198816972096,19.808774537929548,22.212203542649096,24.883714108731677,26.783003663465095,27.75944956557671],[5.07034128415414,6.625509602039869,11.078270874247618,11.809167525644476,17.034133622608636,16.430317470444137,20.585889390913245,23.55900869307696,23.999880681966726,27.26337849433146,29.839782102691775,31.22243549106547,32.15646353298268,31.39901730926423,36.126294740833856,37.16776635330415,36.28439980797996,40.91432392074719,43.34756286569195,45.36634638050043,48.73522586229313,51.522502433470414,52.883360760599665,51.81681686917173,48.83547415028672,45.226510699240926,42.81749321476793,39.13254055144625,39.99237198352772,39.10091629552212,42.916416217974,41.15150972669858,44.52186454916031,48.622270352148774,46.303916419036405,45.131123692674784,43.17410608946709,44.167718217244776,43.405537975266675,48.41581870502893,46.47532113755813,47.92560535607626,52.167990170067924,51.47760598876555,53.46928306255223,52.79649850665574,56.998902083747474,55.73511461300631,51.72227325799079,56.30555129919811,58.54887779995513,58.456684843921906,60.109617195138405,55.79911407668546,56.55107259367874,61.20687347641288,60.190891608030306,56.28653062628173,59.87057011130889,63.41164850812109,58.90549256238182,59.842303727342205,57.69730537412313,59.18170510835725,56.59212416808395,53.292059748450676,50.89118616245515,47.60751438684991,45.449852904531625,43.04258550119119,42.57598561737564,44.924695180797514,46.539942927169065,50.00513302855897,48.672576726601804,54.684033777033726,53.27682138186842,55.575027577083304,54.23209898432333,55.193729048976074,52.304113115011326,51.40900072222834,48.15032717176973,48.236212106402824,45.9398286939745,45.35073952228911,48.16194684485156,48.37965424845482,49.188066451825755,51.778526254665806,50.0469185835927,53.14038003517749,49.521492712493725,46.9071683864524,42.24009806505964,42.49381730769787,38.29190582646615,39.87535981634521,36.694851134007486,36.61043412459026,39.22350396937249,36.54324007031398,39.466511785371814,35.950780851259054,38.37462493046783,33.25601204242818,33.84372016852695,32.28626309711512,27.741261010571602,28.972897341216466,24.669860624046915,27.620562556966146,25.696393954460177,27.598049353971934,29.809413828797627,30.234016909299612,34.10523289519966,36.28047271628779,40.13656319986943,38.32031948753372,35.66703412007593,32.475916860033855,30.10130716746936,27.25703399632929,24.19354451719366,24.810779558429783,21.397276449475154,25.287622129792293,26.542761824706712,31.39301785021752,29.330385576834672,32.96680782117055,35.28323181080478,36.44544843312016,33.65358993951712,30.74223783897594,27.918957045751498,28.362306948064067,28.933897170274452,31.649200073939504,33.88695568588775,38.43145978725767,38.51276972182428,35.764157260416496,39.29585695441494,37.62577032504187,34.36958394564254,33.21873129274707,31.519787065067568,28.64612910802595,28.046134401151914,27.7895051488527,30.70371956166332,29.631733340519304,32.400782658988234,33.56998231709687,32.87556557381006,32.44794634253087,34.77067823467988,33.04470358452766,33.85627032849462,37.85214621959755,35.97069237275024,40.37105750525689,39.974758248358306,37.37835771285091,38.804906075361934,40.58161471085961,37.060881715080946,34.51930890068313,34.11338912028025,33.608239823172994,37.02550558354558,38.01087538286533,39.470070641890864,39.886513334464254,39.6247077105684,43.86173864576506,43.779690821477764,43.550336454630454,41.933647521461175,37.34960407479494,40.850713278749325,43.223144765616134,41.475453500684516,45.80560740504098,46.02752277324217,49.90778660796371,48.813609622482936,48.86477799192085,47.339290457198906,44.90467496505656,42.538708866942436,39.35096765842558,38.159665473761386,36.62881044355461,31.892268264287882,31.44595510777465,27.458419576215764,26.88733670404332,26.88396662593947,26.043935823086702,23.333605645828126,21.669925558544435,22.870088593301258,19.74068088324181,16.071101978839025,17.965047138007876,19.71579794441394,13.98217619943231,12.829103555162543,14.99770845170342,13.542452202625482,8.892549766507445,11.014805237060143,11.560180908427727,15.872137386150165,17.066818618953025,18.248506194339026,20.579359232645288,25.62012394239765,27.86559379918282,31.008628568401335,32.97707954130552,32.18938509127536,35.31844774638834,34.139028294709675,38.20735946462589,36.05141215625534,31.13812548199456,35.08742337924426,37.712606299592046,33.51119505985171,32.6584956607685,36.63902481607909,35.41748200621441,31.001031616853822,32.65569676351999,28.36302106934734,32.08197004550375,33.9049124961557,31.720776512935004,34.382036356284274,35.67101788361753,34.48263373674291,30.598277454872413,30.485549267965038,31.63538841269232,28.027661102247404,25.20432718667071,26.4813408798493,24.907326897736827,21.15496063701491,24.195021819960445,24.376481410658503,19.962447988803152,19.936668128288026,23.449456509066554,22.636695898999246,26.393009783601613,27.01328635174247,30.103080641325423,26.95782206803459,22.629115479047375,27.286937323698588,27.213388135747262,23.651070079629026,24.371647727844888,29.472246138639147,26.713088803276836,22.75563487366559,26.770983683992416,29.97052729222037,26.79541063635079,23.855110755296586,19.43930091775781,22.47010080979136,18.332075685278753,17.218219218920844,12.749640381872744,13.614247769224185,10.285252677050382,9.670194889780658,13.124246471118822,16.31757887010878,18.17358431408418,19.67742657223619,19.061098018703,23.244655530746588,22.22991627743549,18.401186071653285,21.866260179910057,21.9411655667652,23.72216048797924,19.19338649486756,16.989799851170336,19.402886343885317,19.138187830044846,13.518887148942197,15.742922203849695,18.17440154674812,20.789798977573717,22.80304798536754,23.879517492258866],[7.4955565923607255,8.417601637253952,12.58341627709566,11.603778461928814,17.40860072814588,16.605410390343483,20.456068455819032,23.769411855989578,23.606343386654085,26.493523488442374,29.033396415988758,30.84330864348726,31.590206572123336,30.32990303010538,35.18845640851497,36.471335475408495,35.385799959011216,39.89141868229688,42.05217379410179,44.36510966221909,47.55509470581664,50.504578724851925,51.63988629786652,50.49349027894273,47.702417440818564,43.98708384756589,41.84695400393302,38.17278120499673,39.21193137058863,38.60698095590676,42.146935778110745,40.83662692521033,44.21319728111042,48.17686300944151,45.928331990273435,44.541192534134375,42.92098808100693,43.627131703188454,42.907753507029035,48.14343344434513,45.83493411530069,47.11265698835417,51.45433152622147,50.93166308768431,52.82558896604417,52.29170994376525,56.496561422479424,55.26709166930777,51.417472777036885,56.132434256263245,58.377716283573925,58.493744103203,60.07446432151873,55.52660044103761,56.50077479470139,61.054895094362934,59.8014535514372,55.876224610676665,59.53620508702209,62.954004779214,58.22414971677702,59.020502819542685,56.89309653002256,58.107691090126714,55.61505845332745,52.42803914957862,49.6940463977217,46.51153316021262,44.03649369011253,41.68848047341473,40.99359365512549,43.17464937487862,45.06679772907225,48.56418459888946,47.54363192588849,53.635705181311444,52.41482317566126,54.892018847933194,53.67667275635437,54.71254638008875,52.08640526071456,51.276120715365465,48.29754061253084,48.446197562263706,45.92377090823286,45.221881332629515,47.75355406527253,48.18535056233327,48.600279307628625,51.30996928141266,49.313650375793365,52.26963038207214,48.677364404602834,46.22897906261504,41.52124752182936,41.66874334802856,37.40983247119613,39.475194797229285,36.49366077096333,36.867573628081885,39.35807540075269,37.162554579947944,39.83420700004479,36.7004646336385,39.21416972544271,34.15383276086824,35.13042682155826,33.51326113776537,29.010886440800142,30.18678119734352,25.626230774957413,28.041869251869798,25.745697920529025,27.26296472667327,29.059146165831,29.236120093715364,33.00518537970922,34.849889387252226,38.65691579198295,37.0325935613635,34.182191493890095,31.10740866804855,28.614812265786917,26.050580461187494,23.317399164645497,24.28682106162049,21.66580612831765,25.568070469089562,27.215087570088585,32.1370789307422,30.174487043752514,34.09970715299035,36.0534945022012,37.281633508254146,34.08982666880928,30.899512598315606,28.104562668275186,27.999401224970374,28.158855100785612,30.950553949028436,32.696151806929336,37.2362755922143,37.3841886911188,34.828188090095416,38.56321047970046,37.00237712655315,33.74782680799093,32.85423431924906,31.519694820899396,28.647339267329436,28.589648064995878,28.211193386445963,31.583642224432243,30.43251730999808,32.8377644853561,34.05007406799623,33.06402166972258,32.962015323245076,34.878583877381985,33.479421710241304,33.959444143904854,37.65216350945691,35.558547315509074,40.09697138878712,39.713056848233556,36.88475593030335,38.70445348035286,40.3524908095529,37.014432914511865,34.22210858060985,34.06967744024134,33.36174085261992,37.02259337707338,38.14893247190978,39.62124773540409,40.27011233011587,39.737096764196934,44.26101807380388,43.99450550703143,44.022422069329714,42.208159271753466,37.92636460657806,41.49963095145509,43.815155336438984,41.82178432230774,45.89459486863672,45.843541298715536,49.813450733242355,48.43948372639075,48.803535649564814,47.36596259961237,45.11357620250613,42.87491655507879,39.82745533667551,38.88521953043205,37.57688683578578,32.77443546375673,32.735081652713056,28.936445035959334,28.430993732863445,28.921049658003678,28.102138504680696,25.073058960139182,23.689497509154627,25.30360142594679,21.994427737778096,18.07456702267625,20.53858816607176,22.518117031157345,16.544798931735613,15.663011616207774,18.119138137486786,16.43914058749569,11.842885986848527,14.275755940345293,14.577249216279757,19.11602735732998,19.708255074756373,21.072771076196673,23.655731048400938,28.59952424461136,31.027897294303315,33.998166145410615,36.0070280665251,35.05817444709339,38.11558084713201,36.74827639655434,40.77069366508033,38.69910086901297,33.560590189321395,37.39143305758794,40.023902257412175,35.722577676370065,34.67519360392236,38.508789066495815,37.28945886248468,32.825468431522786,34.10761021242556,30.152985257047145,33.83170311473226,35.92373657927595,34.03706489100025,36.66792164265266,38.201966729042354,36.73018652870344,32.81990049316332,33.094670949872956,34.08994237562167,30.23697820287313,27.71766022713351,29.15184307363803,27.445534194225534,23.787752152815482,27.133144242148532,27.284942367390432,22.748442713654203,23.02847997509238,26.633655765266067,25.793183688682564,29.46697670962143,29.86068217781802,33.01951620547663,30.037534846744883,25.494771184429453,30.000337776410653,30.045977957351035,26.463577978954106,26.808404288672147,32.017885827364935,29.279045681271132,25.046101303491902,28.857566421249327,32.21839440850961,28.95984008722631,25.79632491019296,21.218958692929206,24.057981241156117,19.631600314686363,19.24068376331912,14.521931424102371,15.806011662576061,12.372823526662025,10.930978505908797,14.254227678698504,17.354605085530075,19.130561950114803,21.239430228698993,20.25889082818402,24.52041094502986,23.04020164513688,19.878361366085095,23.468409935699174,23.893026853634957,25.183407612228624,20.443572512787032,18.882928563374136,20.97769425849265,19.955055904089303,14.713383647200317,17.300062944560214,19.343892737696137,21.74519922915703,23.863703458568434,25.180342045615507],[7.321044602667072,7.975839778524878,11.851646592595204,10.349402828252295,16.272654879264017,14.038530134356574,17.78506379509395,20.801768801292592,20.208317282576278,23.267455617082785,25.545279519832818,27.298177198333406,28.438227899058884,27.096416852191158,31.843860753920225,33.261063552098854,32.5017185371703,37.020489491820804,39.454003131735526,41.8324403566967,45.1207795676439,48.21253186504347,49.441796528857324,48.534468859026966,45.70898517292289,41.839718954740675,39.67970140284138,35.83469433996528,36.54651272352795,35.742023969047565,38.91896538730871,37.66407942880781,40.851447374442245,44.89442935695285,42.8666174746634,41.65205805766648,40.14632571194096,41.19974907971277,40.76288824803974,46.20748900343599,44.07676098053141,44.975543651668296,49.34026795054627,49.05979528936011,51.18666092572219,50.92202674705738,55.07356479247524,53.54962409937793,49.86243271969866,54.769913091727446,56.7115563023971,56.8329410614109,58.196890306250225,53.57541251275392,54.35303574573554,58.875795454187006,57.687664898452915,53.566900441957365,57.06989858863956,60.6334160849073,55.8726248287141,56.418305911336546,54.103291927643525,55.43108557923585,53.145192865846184,49.83667207498977,47.0060837359312,43.63423353274437,41.191794520755224,38.58935304019406,38.00508054495983,40.103608439269465,41.87558116533267,45.551383218854774,44.40932272251411,50.45227222581532,49.4550105081119,51.78440255740829,50.768978806917225,52.03495911276402,49.46055037634303,48.96223387539988,45.93133682469726,46.403207545445355,44.0010152547699,42.92719859555484,45.31429439589136,45.48554285043652,45.80687746886981,48.2123421245394,46.13705641382166,48.932586509441485,45.252755389390245,42.73394059036893,38.055519575307876,38.02013070725878,33.798108426263695,35.954033875480036,33.01542566299429,33.38950864362667,36.16164473101303,34.255574155473006,37.10100872669975,34.30311683120275,37.3091564290211,32.370117445113266,33.72976017144514,32.50375518226858,28.013224290135362,28.63639823746155,23.973845831240304,26.141806067055985,23.355561045476193,25.13392457300737,26.483478451885592,27.030796465842617,30.674491521357997,32.88075249972952,36.40594392722648,34.41221657755048,31.580921188640158,28.38033601341973,26.342698665598185,23.690024493317456,20.83344726126326,22.510181881443085,20.01522810387581,24.127969333712734,26.10571254014221,30.973975038552553,29.748651077738156,33.68697763633226,35.61260251875021,36.337081682314334,33.358892413117196,29.86202661131188,27.755381931945905,27.222131968014786,27.18848139688271,29.588991059484268,31.402679655565578,35.95973829003409,35.69472502115518,33.06211215271517,36.69745035109167,34.79981007841898,31.599437438168447,30.398978243616117,29.134938632242548,25.9177127199472,25.97434321282158,25.087611710747716,28.58285843409059,27.06301489905785,29.342527652955287,30.809778406770025,29.914181597281353,30.173296969298647,32.06930112196861,31.210834654461244,32.05107309312309,35.47754885317609,33.86874100205642,38.36673393415191,38.50196411719904,36.08379322660464,38.08235057783708,40.07279409507741,36.94964203730037,33.91580224596018,33.566056660798424,32.3842842871718,35.77107354053609,36.58737006955039,37.71866755255692,38.16509198364784,37.26396504549388,41.89806126084855,41.922684176374396,42.123169430674245,40.67497287906056,36.35658466346518,40.364553236908066,42.90104380216735,40.83535138218187,44.64451616288341,44.32776051095951,48.589743268456644,47.46189721427952,47.97529336584212,46.78598832902292,44.46809687915348,42.55713296957738,39.58466665338147,38.784080539332905,37.80248847758059,32.98561629291442,32.98411188183723,29.392060390682694,28.272519935449488,29.161920474041484,27.740859459694683,24.629837793597414,24.07212335026948,25.51993211712421,21.6453194278303,18.544643519506714,21.27059664363531,22.490986658807927,16.39024715542224,16.37529428422112,18.70482181073894,16.07451968588141,12.212847954713402,15.581220098477646,16.29182270965255,20.619219078097135,22.133092847535504,22.802792356953578,25.232495795532756,30.30772630674268,32.59524559865825,35.63335988900273,37.177840137743324,36.04198273196423,38.833195664149656,37.08800650381294,41.38761608396994,39.721208847222904,34.410895615919166,37.987302428879396,41.09371279120149,36.981823773707234,35.59245082208301,39.39339049142452,38.7410064387118,34.2903396674607,34.96757372726586,30.95984498829184,33.921524312927176,36.10744904728174,34.135924660646815,36.31916762097189,37.76503916170455,35.87437148706017,32.29386844331036,32.63558125713435,33.08700904993249,29.156633386956802,27.12131909849297,28.274089085725212,26.21054566516972,22.963038061065525,26.726880675421828,26.500079025409203,21.74522956497382,22.880109688505332,26.680761558795492,26.183084850088417,29.761518244363504,29.954609890057476,33.49662465723862,30.87622132812891,26.200892211849677,30.72900899076967,31.315526052013887,27.8549004772448,27.992353108783142,33.507854471952896,31.290266725807353,26.924481809607993,30.502116932079584,34.27140380343407,31.402348461339287,28.17551762664606,23.545038433311216,26.9427163388052,22.644736045863628,22.200811088794158,17.238379751754863,17.617881510204835,13.389753171600269,13.052967160101895,16.107153667372554,19.589521348864388,20.735628688926102,22.422454061319375,20.49848622007785,24.49026541189803,22.349989710133695,19.087806074709466,22.15571263909698,22.465071539617647,23.10406441868726,18.65642276639634,17.258736399869505,18.59113982361589,17.26854540988988,12.383533445753189,14.712803041136423,16.217110475144054,18.474326279146677,20.641437100223673,22.15830524233348],[12.144257397722912,13.192269263097234,16.940980637203744,14.589243137948325,20.603660829519125,17.77068587811812,20.974682229236894,23.897682808485683,22.325740365571978,25.001916025060908,26.824285822506372,28.96560914883632,30.348559207908238,28.25911363130397,32.95077947582853,34.83276522586825,34.13051020187061,38.39780395786745,40.591471697749164,43.436201119533955,46.484881483767225,49.8773212611446,50.810922764419345,49.91698420558034,47.39568537574357,43.327694974598344,41.58420742505687,37.71422437453874,38.43889303506463,37.853217324795395,40.276616683605525,39.65672778839713,42.58427126575456,46.522034194703565,44.834883289575885,43.5384997661286,42.540971230162036,43.497622762994155,43.285539789789574,49.03931764375886,46.5699554792207,47.04926826942549,51.51491504528382,51.57018997184757,53.6576297729687,53.66593441727851,57.7707065073507,56.187070235328314,52.78474881634361,57.87482784558965,59.69222467485441,60.036226305661465,61.220377856026786,56.32827005813841,57.241536142537264,61.61188547197428,60.19897895674888,55.968511435361876,59.43508320945766,62.92328637616763,57.89835530354557,58.085164706066095,55.667595210585084,56.686538160346394,54.71221260364184,51.505947305697184,48.13932132229756,44.80308551811356,41.90510358433608,39.187891648885234,38.31401636813089,39.95262015295858,42.10959595280752,46.00230203206129,45.26755022509817,51.319699070196336,50.82987843630787,53.23918448905756,52.58432476872297,54.11848450211991,51.90808160822999,51.71602818764756,48.96145949829231,49.67736155273905,47.137984570132055,45.75685441765922,47.715542395602554,47.9404825377856,47.72684438934271,49.977812197511874,47.50690558394245,49.899850075969354,46.18255482505267,43.82432222528508,39.20001593340033,38.737723627999515,34.56747280177471,37.44436437024982,34.826630688311724,35.546075923410285,38.57938441113676,37.35215600666463,40.149181262614704,37.91752302030205,41.2484267088988,36.469102720091946,38.20111761741905,37.090364918591675,32.67348941359475,33.06684974794445,28.303584989022976,29.955218796415,26.667458216445073,28.152543793593463,28.7012613605908,29.127155501694457,32.456701422270015,34.303424113175495,37.524678272286934,35.6288801147858,32.537538257450485,29.51103756288808,27.659815443325456,25.494650407196023,23.149735572257047,25.56132861530449,23.978007095639736,28.051838775193804,30.391465614489004,35.22179672176078,34.237934272055796,38.33620757896319,39.98595886928798,40.6535282759647,37.43438071272784,33.67062285694232,31.743652953681934,30.60454371942195,30.044431253279505,32.37878903379483,33.498973303551615,37.97773973277681,37.66520060239389,35.32056515645789,39.12194561951196,37.22398328230707,34.11561626671487,33.06576037634508,32.25365866898558,28.876697556714102,29.44446675048214,28.01498708456231,31.767167155010664,29.638712355032563,31.613544872899016,33.49067424099664,32.539996493408744,33.38807622714068,34.919032482253265,34.73803074590397,35.469273604882055,38.398545996470766,36.807122863178456,41.37822290040905,41.70663954045401,39.15302860964648,41.60258416310767,43.47369443891422,40.60085287640461,37.31706977936461,37.221311949861885,35.75511141004328,39.27697143068581,40.11774393728421,41.10187902809085,41.646463204594646,40.29002119318353,45.19236307499852,45.231207455518984,45.7445127578475,44.29802783953656,40.271919188959316,44.44863528271046,46.97819185096014,44.69588349287199,48.14868655115097,47.455528341010606,51.874366535919464,50.50466197855626,51.404697132625046,50.36695987393632,48.23580331429856,46.51651260952931,43.70455116416511,43.13377400300854,42.34523463014886,37.51383910411522,37.78504214034433,34.31920646387011,33.218772390394015,34.31255702890903,32.83451920036562,29.64679481312021,29.237973399186195,30.732242785453924,26.79053625241456,23.725081991534726,26.474669876332428,27.576353166857054,21.53816278860919,21.4911567343474,23.603287333956928,20.86488231939364,17.137143314202024,20.14007831784331,21.08596259496022,25.161120354944025,26.732085172765938,27.736570953910462,30.06321436685188,35.18148551839055,37.28579736562908,40.52172431676116,42.19329332438996,41.18184848308492,44.01508172391667,42.29181541429617,46.60392123018686,44.91108718556837,39.61380964377377,43.18594675295055,46.25761738494122,42.09499182561647,40.70011760415944,44.440163160515176,43.69958864536111,39.23363688491716,39.82590963572691,36.00444814458519,38.94627377079154,41.229608047585714,39.317471676153055,41.41498003255552,42.81833842417106,40.80566098076428,37.351472230429316,37.67016413669516,37.91686660731901,34.017967894228924,32.14374352537572,33.06054099768142,30.828005197913242,27.815730207851644,31.53487887876313,30.99844064779705,26.169046854622557,27.54798639809707,31.277733261384267,31.032889392253004,34.71632278919769,35.0503214578037,38.617466561595926,35.883919373043895,31.34465043848275,35.92549063766321,36.41557820556854,32.924670517724216,33.150264205151025,38.60508902395914,36.19041208028675,31.86963027917193,35.49085172893992,39.14615757947135,36.062359598151865,32.82058359313706,28.168765867039102,31.148483631167736,26.65085669224169,26.44722914829939,21.650356039336376,22.555289757026127,18.51947055343193,17.638564839507833,20.704534012863892,23.95022685561812,25.25227445818257,27.34049094914474,25.365705958796752,29.34560540490304,26.892139394660163,24.01973159787517,26.92123591715558,27.21443075101514,27.401956947120198,23.177613249665043,21.96592061914105,22.68764325015887,21.08682347410295,16.763191762816987,18.559525941199322,19.169021792737976,21.23648275655712,23.154294786325583,24.796906915671094],[15.711326307411158,16.5008830251301,19.84338297986056,16.731581949467124,22.587402318507845,19.308736188174173,21.934311994333967,24.7796914980231,22.487865414902764,24.715904331783914,26.196430768613762,28.6591652399845,30.080392856255454,27.454506740961733,32.04259144585934,34.235257437439934,33.55233116381065,37.57622903748557,39.5837556713453,42.73904792083567,45.597889632936976,49.193488704100076,49.92411370600471,49.08580659015883,46.78796186500922,42.592335745639815,41.1602004562686,37.296629617616766,38.0034657513002,37.60474942661802,39.452557401770925,39.34880382833182,42.09275953160592,45.88013664530254,44.43453621425311,43.05593595123914,42.47263424516163,43.32845483504863,43.30939507254545,49.27824140776298,46.589969161445545,46.70182639077866,51.2119883292736,51.55163241445889,53.63236812928097,53.89679567999228,57.932562566745446,56.260402814537365,53.124790755549114,58.361976987716474,60.023860103410904,60.550705527600776,61.558223866613645,56.46323727720834,57.47191580113165,61.693214585835605,60.10788074872667,55.80170367624973,59.21976226445852,62.63509934863975,57.426923384708836,57.33192217499791,54.849604263131056,55.638779450130976,53.91028985714258,50.79180247746644,47.056906121039084,43.76726169093622,40.57379389678798,37.80313175931588,36.73818563805036,38.0539130394842,40.449867242087116,44.453070745019566,44.014058777943,50.03795225458526,49.90501168570954,52.37678500575339,51.984290420599,53.706805875283244,51.803635169934296,51.85700068842845,49.3621702146266,50.27944102626966,47.64095116125263,46.00129220494889,47.59368921992411,47.87374327418467,47.231082857784095,49.381329029693276,46.624638012190125,48.72471260638108,45.02545835659009,42.833312876626294,38.28008654127596,37.558828773374415,33.45817245002127,36.8590722267736,34.54073640695696,35.65056470685779,38.696099336781224,38.073672174523786,40.70047693682643,38.99283655414285,42.54825286765895,37.96161564537434,40.078592421722846,39.09159246496135,34.79578381632818,34.94736676458737,30.117137594114332,31.23423407944,27.567848204616975,28.778134610345003,28.668086068348718,29.024727554571754,32.04652431849405,33.66693497449623,36.582339200827974,34.735155770026296,31.509550331592607,28.65062960432749,27.026903249669736,25.25082851560777,23.340435919091707,26.31039266090949,25.506713489696207,29.48196883270233,32.142427298962474,36.87502696470279,36.24022827608236,40.45921687475555,41.82461577364383,42.34817234279581,38.97490736546633,34.97554303600527,33.37361179680997,31.68839210830041,30.712751794814448,32.86392285806618,33.494718730775965,37.854738466557436,37.41548445724342,35.29335835167081,39.14798581076843,37.232654900578034,34.242372227351204,33.31136589508829,32.88995402634875,29.462649057986308,30.507483244972242,28.761065653912127,32.78278325699162,30.41808293273265,31.96895339852614,34.00474949885896,32.90376301822158,34.20191404666475,35.34082024925683,35.712131469603335,36.321161302185715,38.788007787371036,37.27567560440925,41.84646440378984,42.4074001345736,39.87486959264732,42.680178426237354,44.53901924759064,41.94502241810915,38.44042239094943,38.47982540541146,36.700811349034325,40.23156842456755,41.040726856537866,41.86458492682022,42.49615235183842,40.760721042921055,45.86601946368642,45.89267415607147,46.68793580708541,45.26713760203441,41.53655464108379,45.87244403956978,48.409043541593405,45.94079356071701,49.02591526475128,47.99286181538002,52.55517441836225,51.061316990629436,52.28503160464015,51.43329984780162,49.44987263906842,47.97946608125403,45.34041310300832,45.00895849187188,44.49250191929156,39.68155358602744,40.22219140550402,36.97819969825086,35.75964728362503,37.224097906862475,35.60901738525008,32.28324765098743,32.242911782767266,33.87636568219035,29.76750228006708,26.838834515575034,29.84214619401322,30.85838712214269,24.797093789028455,25.004972746748567,27.171877174939535,24.210000659972767,20.70222716641532,23.88700420305945,24.81187998215079,28.918463622278523,30.42526246126131,31.384930176035084,33.77542101131405,38.87755895901024,41.02096596809678,44.20532327133329,45.786039229231015,44.65988457579936,47.381754499884295,45.46705353785217,49.81427638867506,48.28157761685216,42.8446564961202,46.26678306523123,49.45744736951761,45.306437123799135,43.72391151004067,47.34353019481823,46.76086941401702,42.299557436203806,42.51343328912527,38.913223985757206,41.6011745148874,44.046152787358004,42.289975539663665,44.21873588634101,45.713100467948685,43.42522698771047,40.10508829411337,40.64046159712383,40.62546751523988,36.628691745452066,35.08710504608777,35.97199101406144,33.591924865218864,30.80999661626197,34.7211344172717,34.05086421617239,29.18376559756773,30.899445755735602,34.673577803152895,34.51841571086566,38.128008725327284,38.31372861191032,41.99508551299464,39.43090792674839,34.79222758588439,39.2875875612805,39.9569057101448,36.4922836524656,36.50338362320502,42.05688721450631,39.769230504903,35.30688559748967,38.76165907019319,42.57234033236002,39.53591140040553,36.18542662733271,31.479379272513338,34.44404593668358,29.875600429898977,29.981488344373904,25.09531804280115,26.00382252507742,21.87484788808515,20.90653215380149,23.78153589997078,26.9696039249263,28.07331875305583,30.32837251029232,27.99581366111462,31.845102216472164,28.98992282424225,26.573333186228602,29.287925234591338,29.720405749593795,29.393813005207303,25.331050436617463,24.561516675581093,24.808563423434293,22.738148344546957,19.11011856724533,20.81898304081568,20.871174218636362,22.59005317330333,24.440190973748294,26.229277691215405],[18.954703660959467,19.59732340419589,22.575090185846197,19.127748076685172,24.650795694596425,20.772196795103188,22.83576871272802,25.36043385880582,22.41929462262086,24.30401878721334,25.302844901417448,27.918214688688423,29.564236607857083,26.528963313688234,30.863854460046653,33.342670815674786,32.86140336001554,36.63370276590051,38.60309775914596,41.993404433008415,44.72262847556544,48.50533172742973,49.11988307378345,48.43960304848594,46.31544352499177,41.998996968969436,40.81004287439192,36.928799575139,37.455693147643586,37.10402332896348,38.2914523054761,38.61413669047412,41.07581453851453,44.7543321814584,43.62597228460147,42.29264852355027,42.07805699520578,43.018662680823425,43.26788073524867,49.4145876484422,46.67775457948762,46.35772632176847,50.868504355202965,51.51373430131575,53.67386223787998,54.226235364480345,58.16153726664479,56.315319199911734,53.45625181301393,58.833548062710626,60.25112566251125,60.89882240273839,61.68752421953586,56.45574522662084,57.43379602374766,61.51103197420976,59.846563339150926,55.42639251541057,58.712695767398216,62.12361020667742,56.80355120268268,56.38315770343914,53.777149053502974,54.44171529274683,53.01157067923357,49.925400293219894,45.89256415160507,42.57587826761556,39.19557019998047,36.277722582910584,35.12459064236878,36.09892787644899,38.611514200949436,42.76975423126237,42.5107021466696,48.43492121920103,48.701266097860234,51.12387357476933,51.03586956945415,52.998508835092295,51.35698814580246,51.73057590131986,49.412818089585265,50.60409590890086,47.979691917750735,46.01432605297187,47.26464437157529,47.45533026650965,46.46099793500132,48.357986182246584,45.3671490440317,47.13076961772028,43.425998323900316,41.3450858048923,36.92038973830866,35.88193611828635,31.92179241974569,35.74794689163204,33.7231059467974,35.08685498376189,38.26296703950472,38.21619520827218,40.78064982776695,39.602115510437244,43.46705230714869,39.11779566716976,41.583853048537655,40.835898128959826,36.6762782799162,36.47760392628393,31.674722245135502,32.34808396711487,28.332670573262444,29.434058088488054,28.6572914709604,29.121342182079783,31.783667505850325,33.36225865660787,35.86184954285271,33.905800252995,30.63996877941821,27.917951804270157,26.74025468188947,25.283276947213214,23.716919999911564,27.26702652176135,27.032728484851894,30.911397629065394,33.8234300526983,38.39517815936674,38.236912463252615,42.47423455162164,43.654135849975475,43.900846926279634,40.55880325127817,36.364694659908245,35.22860353586723,33.097037275983865,31.806382017282104,33.6376825443942,33.94154004676623,38.154062475321346,37.45785308460373,35.49927473214281,39.28717917411627,37.24130994566506,34.41346246435694,33.448028863807345,33.33899758967091,29.802085589307726,31.18743718607858,29.022079601106352,33.16348160844603,30.47007472533553,31.63875212438743,33.90277582272304,32.78194615543276,34.54438751990401,35.388624659218344,36.3778646230104,37.053459738358576,39.052173899318184,37.82651510841415,42.31263869515205,43.23383057501899,40.90594447535706,43.9725741476768,45.92903736670866,43.611637089321626,39.92793334673035,39.980541711524346,37.85723761805952,41.236559818624066,41.88970185149056,42.45421135864853,43.04473346400397,40.91361521028494,46.137806561000325,46.29052622927913,47.336343532820074,46.1045075787323,42.59131897576356,47.148960093599904,49.75187251371929,47.16483869032843,49.88092628124843,48.524446722942486,53.260567834710976,51.79625293120645,53.28197954203833,52.65330671873457,50.75424963380748,49.57122027355999,47.08681838822747,46.949484502444655,46.70557707577587,41.94468710107007,42.636644722349736,39.603805892013185,38.13961531552729,39.899323665008325,38.0337846674576,34.664274752334876,35.05914392994012,36.679502927401806,32.37487974311536,29.800055483142213,32.9350994940749,33.66525985478993,27.670788831721417,28.19877526483773,30.305505114964372,27.039467970318068,23.89630334035763,27.28936325585779,28.311524385537925,32.33357475399821,34.069377169870954,34.83780805263564,37.190004516419016,42.31201986786902,44.404201497371105,47.599403579401745,48.99163660973295,47.76943718769613,50.34391099280461,48.22656588265077,52.6662721476057,51.35031008966121,45.82151650838387,49.07290272954179,52.465255558695986,48.39692103454137,46.625116732684326,50.15792746249206,49.83603675980323,45.398915484260264,45.2381156382905,41.75479640419554,44.06096688489376,46.59837323947522,44.89840172505881,46.56667428933447,48.05094937123022,45.49127669940196,42.40351250725946,43.04780024310144,42.69593167001234,38.68624161492573,37.50078911836703,38.234168002973234,35.68222813478149,33.21926388160137,37.28346508309326,36.40313749602958,31.528834630833025,33.655238762654704,37.45448963869291,37.473125290451236,40.99851752360599,41.067613112370964,44.90151532383157,42.533491652295105,37.8568422856803,42.297721836414865,43.20448824447273,39.80182238116659,39.672102798803586,45.33354352446412,43.25491307303375,38.712493990790136,42.02054081646429,46.0042576772129,43.09997601275081,39.692995513406466,34.96087403064564,38.051816246483774,33.48820417110012,33.69741055284115,28.727053930717435,29.435688087051627,25.136950377510228,24.375416879094313,27.102554406763204,30.33057902881633,31.189319963198532,33.38660904215641,30.657734177823773,34.30020111467113,31.076429855132254,28.915656779162642,31.288604136984898,31.727964144770507,30.885638316049878,27.16132224999267,26.68670025644142,26.372608821725677,24.023209627855056,21.115890172302837,22.526010236579825,21.969491865432737,23.326238605244654,25.03056354620692,26.91390513356183],[22.638395178649432,22.952252612833522,25.55921230623778,21.417079958108104,26.649374354481868,22.945780574319834,24.376879223204824,26.994762699942488,23.566707377855213,24.685824763498285,25.465137695429995,28.50934265573305,29.78780096909794,26.196879248951177,30.39906931068086,33.12243646874985,32.42025104221861,35.8130126044792,37.34460485042408,41.05139742264962,43.45578008462599,47.38444191631259,47.689571678047926,46.96568358508367,45.15469107711975,40.79693617109555,40.02458381351641,36.292323828672004,36.98536477358394,37.02091558716926,37.724098962564035,38.68651670013417,41.05741470230788,44.42165571708533,43.43323821623013,41.86432526775345,42.122026494773905,42.68675223572493,43.02237463691142,49.2882389252892,46.197863209084126,45.59975493416204,50.12014270984494,50.99811946278206,53.02252285327538,53.77603204374107,57.6220111587932,55.8097754007408,53.23547623809318,58.6824397040403,60.03632361594582,60.920443534814744,61.587590910097,56.153732218924,57.36666046848636,61.24226067597527,59.318675959920455,54.93637929363281,58.23919979391012,61.4470503278794,55.93344172489306,55.30759507095285,52.75677360828122,53.051648924401256,51.81192973726938,48.93140603433954,44.52201854980213,41.418462289750366,37.678433116356615,34.91183599307576,33.45564749770677,34.08376497788163,36.94829136914528,41.064697208696664,41.26823549789474,47.149279358718786,47.6959103565121,50.29962384900484,50.40157468235009,52.43673194058235,51.18195188701516,51.678381822172085,49.76428152015887,51.021216614471996,48.207975782652895,46.125920831999366,46.96819764952209,47.409319586669774,45.91187193549045,47.89717461638245,44.61387357447049,46.12353484697858,42.55472687981112,40.783463190629284,36.468421205349614,35.306442321874876,31.45229508260943,35.82280907904676,34.189028372530885,36.12560415203597,38.96068159468868,39.52344221648093,41.66733163464428,40.98742732863061,44.81846208020142,40.685335736882195,43.47703388796713,42.70029259319014,38.723343312779654,38.473636013165304,33.64563774533975,33.731490355627436,29.547781254536755,30.136246458429643,28.791835915469644,28.954448432931528,31.237188387531987,32.32403212761641,34.532088428300064,32.87153961319872,29.485364291842703,27.114682990601544,26.00554347759995,25.12440699199084,24.207325013980764,27.997788944203823,28.665655353623535,32.277931757593535,35.4310009558009,39.86368977652401,39.865039412544554,44.229735676117144,45.024120410593916,45.2862748142697,41.671950769474215,37.33790431779856,36.382096131967394,33.74675480334093,32.036072588801126,33.739286387965606,33.40470525983496,37.3952387864361,36.71234884791106,35.09590014528405,38.94433654419602,37.07405412404807,34.40852172096477,33.78530442821179,34.14657406415083,30.81603614379837,32.75311289068011,30.606705058194382,35.042366859005426,32.49848523373869,33.12229711620867,35.26890889869248,33.82448427611025,35.88677872246555,36.187734690635736,37.54155328389825,37.83071047337535,39.34551339028037,37.985808456009,42.44041303677104,43.4202121418976,40.988843097729266,44.40869094934998,46.21626857543258,44.210882886713144,40.36680003314784,40.652042872166994,38.32714357407731,41.789692511531776,42.538194278924884,43.061863912297774,43.8875034684326,41.48872520234364,46.88874439192364,46.83235064413427,48.15913732482165,46.767654836270474,43.70043062348582,48.229006562429895,50.723841075991714,47.93452897582374,50.258625041387944,48.58588729992879,53.34409283045593,51.62785232153731,53.46363747988928,52.99036498773235,51.321117159844746,50.34959248002312,48.08633110590661,48.21918455827565,48.233566837863165,43.5436226269274,44.58200962534921,41.80740078096749,40.40596248515866,42.548656002535424,40.74097578261903,37.197686663495396,37.80676082352959,39.71724109112579,35.38793771756787,32.69034634968299,36.13436442191233,37.08125185270202,31.02780760662637,31.653704270617254,33.98518456354412,30.73242339955394,27.553729773700866,31.07137692815168,31.859927569099487,36.11657342505588,37.39902031508191,38.2226991283254,40.782562615338264,45.81248960633662,48.113742747195644,51.10653749191988,52.4910647756062,51.091650076758675,53.572663297149305,51.27781691763303,55.64276852683152,54.437996927170616,48.735145056529376,51.83266548672044,55.23023258563845,51.12633117807164,49.17760052428198,52.5284280858028,52.27231633462237,47.85971425573898,47.32277569602482,44.19015289163652,46.37197663547063,49.110401485804296,47.70695242491822,49.32678760684376,51.0453698338923,48.25043528911844,45.174225056135015,46.187199928248724,45.73559490974733,41.55934373010601,40.64458484466504,41.571479784324474,39.00135587577054,36.60374559119822,40.85306318521831,40.06007839528902,35.202422707665534,37.413467318573524,41.26831015869246,41.1738834041597,44.58894777851933,44.42868804727028,48.28443625368919,46.094705236587075,41.23441075214933,45.50159500566867,46.52701628590176,43.13047357154404,42.68206935270007,48.40262165977517,46.412246500223986,41.67411557482992,44.75907386652062,48.8781838996202,45.99687944891891,42.44954693838726,37.68213918065115,40.68011997778154,36.059764310504804,36.709119634882626,31.649814770195302,32.47884096249606,28.235453706086165,27.180156266603248,29.667843077930137,32.72787505761371,33.41872720632491,35.89046218150798,32.952612103120444,36.482626095004655,32.990231632297565,31.477271347139496,33.85940660779252,34.60202100445038,33.406316265992444,29.67726035772704,29.761090770190147,29.321226553345696,26.445235389979118,24.138623400504468,25.81644747897269,25.117588032302038,26.122991039268133,27.841200030215006,29.825289482337794],[23.440699482211343,23.526251035446776,25.609464131800813,21.582750270070758,26.21464728360943,21.67855383973563,22.58852432474965,24.584933852440816,20.712242950239787,21.75841250703544,21.99594462599876,24.8989047540469,26.634915605424613,23.007329084941038,26.846830563202563,29.70156008077764,29.479981738476496,32.78373531843801,34.69011898865886,38.35368627634364,40.882241963313135,44.88968918051306,45.374263043552304,44.98499783838077,43.094869243770226,38.65137375291734,37.80823677960024,33.95815895895816,34.18493921530307,33.94870137836281,34.143865548376866,35.16453276149973,37.23066896822958,40.63695932497574,39.941313887562075,38.63726504764617,39.01203589772245,40.01542355854954,40.67864929823643,47.01878293689959,44.27019881169564,43.27207564191137,47.72503325443604,48.83284845289954,51.12347487761918,52.13383244236995,55.86819008872935,53.73469722771744,51.33931712830504,56.891682948782005,57.891195863119954,58.722158523339495,59.15860499021908,53.7602710315927,54.689395702204074,58.505656655876805,56.7312552613992,52.17715740213594,55.24645393028778,58.619377147308846,53.17889610994474,52.29754506241884,49.53808897686343,50.03814923493769,49.0349638463857,46.00880274655229,41.61015887289751,38.27829811746055,34.700443786853164,31.603942879865386,30.367714878581605,30.895229604178155,33.49563888375788,37.81874570523416,37.789397230003964,43.537037353078034,44.32647032568598,46.68806157208269,47.01317870186344,49.28900691260157,48.071016221647454,48.910397901589505,46.935804502422705,48.522419790248044,45.93188393199761,43.48534154276679,44.17635643064954,44.27073188214966,42.731167136759744,44.29524932687412,40.98427972813864,42.290560900127865,38.63728540283967,36.78441395215825,32.583650239299715,31.175543428126993,27.453734914559757,31.907552450131664,30.423193861722396,32.374656244501395,35.43362941124958,36.37611337360215,38.61959714173236,38.35972981611428,42.57688672851007,38.7196145235523,41.77884600863262,41.40353057389487,37.59305831801998,36.84228946647349,32.18515135048503,31.99030824729913,27.53752842280971,28.342245670013998,26.489329212780646,27.1206101901366,29.117077536990642,30.687545769028997,32.456489629759986,30.30167652891865,27.081448322469978,24.630830246551525,24.26831206628236,23.3499323124017,22.427307167064114,26.76780092171556,27.55690520988333,31.097303463228137,34.376592248782906,38.55531476320755,39.237625935414826,43.44410801898042,44.24002134024456,44.00175447510722,40.75480030677863,36.308939257926724,36.0472129231151,33.205535950458355,31.45476161400662,32.639900845856396,32.50024170073434,36.39056884955157,35.21267684266493,33.51498898882929,37.0816130215477,34.84757024598176,32.35145633338265,31.373279063753092,31.81789218684462,28.28259668914951,30.307142734188574,27.692272315392437,32.06477835526475,29.247894158617864,29.551824369888905,31.905420755621297,30.593007301449163,33.03654277827837,33.250175903777034,35.19285097536389,35.86876768956704,37.03900335408628,36.30858662870176,40.55894860678566,42.08483135183107,40.208774943565054,43.63289813352423,45.7872594298229,43.983294810789516,40.05734116441067,40.07691787774973,37.38534014538599,40.408429827841275,40.78370432975403,40.91803865467187,41.478887955169355,38.74834210994276,44.10966608209123,44.39295102208587,45.85212441053812,44.910522480028476,41.85817553509192,46.700417002601164,49.373089703317824,46.61173184390061,48.65947169306098,46.78535823709597,51.758451666201466,50.41228270999407,52.2936921516015,52.066298870115176,50.31163855399544,49.657007154456295,47.4783719041801,47.6936813671556,47.97001481905254,43.378657818285035,44.35768681967882,41.80092983849415,39.924367250414896,42.295234238211556,40.0591586642044,36.60090120653626,37.81765691305423,39.52649104536527,34.95971871273241,32.974047700841304,36.444007889784864,36.84172484707459,31.014259618711638,32.14855800200215,34.337017662031805,30.667838290622367,28.12877675225077,32.010645584431856,32.952514851200874,37.02987888499908,38.8582668150567,39.17004523458448,41.597104542404416,46.63683833297021,48.84031196676985,51.81372066306346,52.78983873887589,51.23857798814458,53.4529185091928,50.878198186654,55.402331658592054,54.563289046737424,48.81346781671443,51.64799302595607,55.40445608758193,51.526197574472306,49.33788401928386,52.62590700870111,52.86790261134129,48.52705774650904,47.546758015176216,44.37832367141083,45.91139041097008,48.64476332959063,47.18782693230134,48.3872682940623,49.99561875550383,46.90030729361332,44.20152099757699,45.258447889841825,44.35869294675508,40.25345935594626,39.79714335716889,40.489768893385566,37.7424210781328,35.79787155497841,40.21037973079697,39.18806555136743,34.409298297235026,37.14802237481269,41.01628999084476,41.13829169236631,44.359503518978244,44.01433335546492,48.07816688122778,46.2414846711155,41.37475213339602,45.54428178540029,46.978912399288475,43.73661723185293,43.14336487040226,49.00568762178254,47.465585041310895,42.69421760598985,45.57661529227032,49.97041408772447,47.44419407433425,43.893458939766404,39.13956439851286,42.59643787940821,38.12112157090797,38.60699912446548,33.40087766648503,33.613581771079254,29.06013824893674,28.69244260871093,31.013499991282256,34.29845185091542,34.57386317189894,36.59148218309222,33.10884756453717,36.27417752063986,32.438351037075,30.93420927984687,32.73056521658963,33.358950358948384,31.61286486306093,28.450698777329777,28.76048707528224,27.661029923719692,24.65557530216682,23.212814752290793,24.466615365429345,23.196908960987034,23.772390259519906,25.355690083135013,27.4083704345199],[27.295206276657225,27.780025909216025,30.3507408004489,26.34288877333007,31.32042727273102,27.12487143101126,28.18995681139388,30.296205139973754,26.41464892422541,27.27446443164581,27.375162373659304,30.341666399584163,32.035265633019705,28.15475606944636,31.79397195594552,34.80584594636666,34.4854281562202,37.47143951724823,38.9628570102839,42.88944836609074,45.09192249217236,49.20582068846679,49.36081247740067,48.86482615703417,47.30849955309436,42.87372535630272,42.41035567756583,38.725613656820066,39.12645082280852,39.14062399376035,38.93039390574571,40.36202158046406,42.24727408878093,45.4626633863707,44.96685510750998,43.56405682612656,44.24275239413865,45.00669492704284,45.68052520480708,52.05631382708845,49.00057619199789,47.8868694813989,52.33754634400353,53.571297531240525,55.68317562655533,56.7547146836483,60.442858072869264,58.435516455366276,56.198985192601796,61.741856690057986,62.7953955594306,63.78079763825065,64.18580196934305,58.67096688112826,59.77897187962988,63.462937669193934,61.49979446021978,57.0007605345331,60.07465065015976,63.280814334659915,57.699990648545594,56.63963334740854,53.92193871311068,54.07143588849066,53.27631960129036,50.45732345878246,45.719072557550206,42.609095987760945,38.702836842770964,35.7555790393729,34.23092643220455,34.27678155803215,37.237857557318534,41.52977772162193,41.9679493550643,47.56934333261018,48.720208749652016,51.16284310260067,51.71025785587414,54.06790751199069,53.129789086464754,54.04645884305505,52.298550801422564,53.88923885357634,51.179652605857726,48.72793236193167,49.179023021813755,49.42458940238118,47.55104603017131,49.08151910612597,45.55006512399204,46.51728845991493,42.972744390084124,41.34952374726809,37.3435478226725,35.68967571357087,32.193148822489135,36.961763092630434,35.71900940180337,37.74355181897351,40.86645290295018,42.01106675271398,44.19957694157302,44.05649563384386,48.23433680818051,44.36760986607022,47.39903637087448,46.908413754092265,43.04619134289948,42.444840073041924,37.734915963213574,37.55752542318857,33.14312498731269,33.74274363030168,31.784421911734764,32.12861419489414,33.94215742632705,34.98314113860321,36.59555138120018,34.816222047619384,31.506058408629077,29.39003694362675,28.903668190900238,28.378740180119973,27.773185488540154,31.98369610059913,32.94907646981913,36.47360354006171,39.75107667901966,44.00484256161778,44.426626572530786,48.73125645463817,49.4446197004886,49.420531417260015,45.94756868747252,41.5098764404851,40.96376057260008,38.04989495189029,36.133420454197115,37.48707204018266,36.8602953272876,40.61953286534594,39.66029189282292,38.246741686084526,41.92518989860944,39.905553060262804,37.47946124176134,36.75393685953364,37.36724171645523,33.92631431827788,36.01904166242825,33.3815123443998,37.692024282483246,34.649990154465925,34.97946133558632,37.47600798880569,36.19796600027741,38.72513541018342,38.83096150610345,40.836040700112015,41.321377846468586,42.35617979240041,41.39875944645252,45.67728658024827,47.04670374606121,44.8736836964232,48.47449148894771,50.366761170805994,48.60975150871571,44.663822430130324,44.93583761809904,42.338860460194205,45.57629682473308,46.117927649051666,46.3335117490312,47.0266713329836,44.23388732072992,49.64431576760183,49.82191896989227,51.36972204136476,50.27086065714548,47.37865743606705,52.11409121678962,54.684227190211914,51.838289767071394,53.8008314533502,51.82175320798288,56.72521127082576,55.08761446299252,57.15967643711725,56.909702905935866,55.31597858513919,54.60629923279289,52.47563224816493,52.740503587848295,52.94734067133636,48.316972012412926,49.38872650092028,46.7247100791315,45.105304615520886,47.339668849666914,45.29144293332226,41.81337919586781,42.691208381611894,44.441945551126665,39.98281744525574,37.639959183288596,41.00580103076021,41.589629558643836,35.66430826804733,36.44602718451402,38.56047772064352,35.08188390321392,32.20525305248027,35.70511656288681,36.732459716460355,40.751825232783546,42.45764901746442,43.19340175874751,45.58881899440734,50.69397583251211,52.78903881187272,55.957050300897144,57.22392934381566,55.87183147618705,58.28389233378002,55.91504519615566,60.39096843763894,59.31509774555382,53.63578529499266,56.65477568202163,60.20646078013797,56.18398134059985,54.166810784254636,57.502524187189444,57.41326984621026,53.01760095838975,52.3265674506714,49.188913901268094,51.0908381781064,53.82211175019134,52.342617000019956,53.72271819043958,55.29075899972302,52.35021427317981,49.53831034929376,50.443956241632605,49.688290329514594,45.638634131215134,44.9419331077333,45.5665752216073,42.84210816108404,40.76347750617308,44.98899238464809,43.89811271222426,39.06492611596001,41.59242197511394,45.393284486187035,45.56798463920402,48.98922735114893,48.89252805187928,52.86061121398479,50.71248280052217,45.96383070182688,50.28480377699593,51.413972820743055,48.05682297541592,47.688169968427246,53.44279735373058,51.520864458492085,46.83481041430932,49.92654546366882,54.07935408440021,51.2318686955605,47.71348180706302,42.94896569037328,45.97371494450643,41.351182822752214,41.90228435354809,36.87426970959879,37.618783491227276,33.274480493084894,32.408180097817834,34.928530793571866,38.03151637782996,38.67092489789383,41.03938478815531,37.914270855435,41.30360665563994,37.62239922704806,36.09050299266402,38.129757792364394,38.70447451300556,37.16585302766122,33.87194556419322,33.92876624956122,32.99183436248981,30.19757827139858,28.339146184898357,29.48824403967869,28.200074692528982,28.937690350836295,30.329130069477188,32.27693704085942],[23.367591224916453,24.26810693555377,27.336232936063798,23.973649219041384,29.39408658615919,25.236379097564328,27.038591366493794,29.2299172723732,25.888281404612588,27.539095206292412,28.019329792287625,30.63827638994677,32.60311694569027,29.24150022844499,33.2031116794032,35.95641407411399,35.71273493940674,39.16851757743546,41.02506712726885,44.662813468586876,47.194171598843674,51.154267641472046,51.58620361062347,51.01957292739242,49.141720760893854,44.744249723393544,43.85548800115465,40.01569441044106,40.394647831625115,40.08768573733549,40.5524717148423,41.296301699618354,43.38929871509094,46.95599040995021,46.212589611636034,44.96572856396768,45.112605321672,46.14035175647267,46.62483066126356,52.89228857294649,50.080174096960285,49.381565220353075,53.872293150773494,54.79377351790352,56.974213036974334,57.75698512544631,61.59391758576092,59.64561079712033,57.04053786341813,62.50241457820994,63.73990183994032,64.49761317341708,65.10537475698749,59.76628800923632,60.72330274821006,64.65310358014834,62.90936554673214,58.40525608757085,61.54958198589613,64.93449706659005,59.512240009074524,58.74971724921112,56.02812841358562,56.51486063952678,55.428053591378266,52.41843918999482,48.053974259058116,44.76121396972747,41.15873203872454,38.12404142486237,36.841659151323846,37.323430917217905,40.012249840079974,44.31952633065845,44.325341019020556,50.068486084356486,50.832679291202915,53.17377384924868,53.44357698629783,55.65874302458474,54.289300826939034,54.972572097444484,52.809236423078254,54.2372740364191,51.642216691211544,49.41228328719531,50.342329729881605,50.43268114859693,49.09733153710584,50.680299020305526,47.45099020645475,48.77513419129268,45.08121334745504,43.128863045963364,38.92287396775758,37.46660748758962,33.76168231929825,37.98007077545914,36.262772713329085,37.69961468253136,41.14794744244395,41.55751827183207,44.16960856507541,43.390690445033506,47.512739166643016,43.33189796643472,45.962405123645155,45.38188189569284,41.28075402709726,40.87371893582891,36.12989219834354,36.61339954599959,32.409388703142184,33.45765765488939,32.189077369852335,32.700519055289654,35.0147261328577,36.42358342711178,38.51298011414604,36.55682063706993,33.270862059631696,30.771510709212517,29.969520638828417,28.86558576612547,27.61724167536083,31.49115943047588,31.560543092451223,35.37975042889752,38.3951974010634,42.873690474123144,42.933550267580806,47.16562715629373,48.269470126752886,48.38292398991586,45.06227747053742,40.78050046809422,39.841085188398644,37.474460641970126,35.96774416727415,37.625725401521436,37.57511033776928,41.62547047424542,40.804627870679795,39.051072736480755,42.78902870209945,40.685486223069205,38.01784797229138,37.04470539712508,37.16362975880282,33.54252924749755,35.075482013070605,32.51725732498437,36.569899232304834,33.4048253342324,34.39224161636159,36.984736663558714,35.99723400723422,38.13483024901042,38.82252266070851,40.30145646744651,41.0692186616385,42.70730610679411,41.68627771158222,46.09008754948548,47.23565325866642,44.9795789624659,48.23886186392842,50.17809733112105,48.033198348043214,44.258739925230365,44.383091144417975,42.089952831307166,45.398093225556345,45.96077534349936,46.33780765022759,46.87222891293636,44.43795599268959,49.708267205558336,50.00209245710665,51.22557644384485,50.14997257166244,46.784564022228714,51.471536584707856,54.105575396978814,51.44863675649553,53.908658661824,52.31228886509773,57.14584453419467,55.64259499735778,57.345709844834296,56.855037985102655,55.042995855253224,54.016426071092695,51.62801483275178,51.592299892995335,51.452885112817846,46.71387678522956,47.45667831190146,44.464261399307546,42.92863797328536,44.70104374498731,42.72346778953516,39.403387469436446,39.880205425263235,41.38688831774489,37.035680379969435,34.61661418086257,37.640580269751126,38.152853263459185,32.2557869363537,32.77552367822772,34.669623847435965,31.318170800925007,28.321591259519064,31.524683015536176,32.7610447288045,36.53871075253806,38.55130304196221,39.4086396872442,41.60591054511832,46.7896367660463,48.66995543037216,52.06814841979247,53.47707743635624,52.374564770232546,54.968695804423035,52.8836124603904,57.38427373879577,56.072559467828654,50.605987687700754,53.865467925268256,57.29097317201111,53.2387777064474,51.48738006686349,55.02759698649995,54.70595477330335,50.26751771453557,50.10911844142156,46.62852164277776,48.859482865207426,51.382974202299174,49.61151366468405,51.16694941207716,52.51463139385549,49.914124270007136,46.983914375470455,47.48151204180542,46.95759209291059,43.071109813238394,41.96050454913822,42.433484105208564,39.77766883307986,37.517655388488045,41.47883829015728,40.344608260720946,35.485971998552905,37.77015781596369,41.48453806182733,41.73289103773025,45.3274192391578,45.54326410412959,49.41452103690427,46.96424142813492,42.43912550152925,46.964624981636874,47.830340247819684,44.42730511794808,44.448454214134564,50.0766409609253,47.910198091642044,43.46051661137147,46.8452182533828,50.75027215432659,47.75995119356619,44.40002724491862,39.683478264632306,42.6218157149567,38.016251806340286,38.17256146517291,33.325452218117476,34.163276177185224,29.89708015090897,29.101068733015186,31.897222041004955,35.07228993024936,36.017605680313224,38.25783644710935,35.52534869407863,39.130231500800825,35.815252905107606,33.64862907407685,35.833438247294936,36.12514700102982,35.08879527192821,31.655601128628494,31.087051124104814,30.431213335813524,28.2038342839637,25.544432208280963,26.489733209578286,25.450601773853123,26.659885984271032,28.0588322396397,29.88055957735628],[24.03955493709906,24.8587011112689,28.014033332183292,24.308689324092065,29.898717547251177,26.408367058173482,28.24642103744093,30.886521973301935,27.661788489100505,29.030957564180618,29.8123793936261,32.71504165901455,34.17028136395916,30.647926693331236,34.82019878874995,37.55128991279942,36.881987722230356,40.27145050886362,41.7307492931865,45.47619843650745,47.820920198774935,51.7536832356046,51.974107315634996,51.165824416637676,49.43339131240409,45.099792103578274,44.38414778704169,40.68624181920987,41.43953924940569,41.4605016559801,42.148253940329305,43.06893748663997,45.38036835066424,48.79480000880705,47.85859008793965,46.326008119954466,46.54834623115078,47.12141960048877,47.40202032398701,53.639298967099464,50.48253996261371,49.974900271943355,54.50389050931232,55.33424651863813,57.28134858269013,57.94988634439548,61.824774605686,60.11432691965078,57.48477840000969,62.88378105426173,64.34572816672261,65.22308568734104,65.95398934910753,60.531377922614496,61.77423678768857,65.6716221639334,63.73365646353609,59.37548091083693,62.69698317002918,65.88704903319055,60.35751281790311,59.7274908479134,57.18497074397897,57.41365113968413,56.20067379818538,53.362163771633256,48.895628799317905,45.8363260526246,42.029579055523875,39.28460529021487,37.76988621672447,38.25777410234359,41.21414963632064,45.3426905045344,45.63972831365957,51.47801504783201,52.11797550118527,54.70651552122353,54.85244517319814,56.90044744307389,55.63380508294973,56.1006092875981,54.13546673781378,55.34217026757819,52.5227937004139,50.51670268840863,51.41235591343177,51.84873207012888,50.37614043756869,52.31991171982464,49.02259640420528,50.445993178490795,46.86495432815727,45.07996501707009,40.80901375740029,39.53361101349091,35.74124477834754,40.08732871109043,38.40436339659629,40.10358893486672,43.18260020958032,43.56435894050655,45.89671489125646,45.022871011012434,48.83056431703216,44.56376851464174,47.145132009847856,46.273115803279964,42.16236075159384,42.0798748707216,37.23191194693879,37.641822716769695,33.577702332633734,34.27094291236735,33.13894127249205,33.239820550302646,35.59905221208798,36.54057590320076,38.818664246031005,37.28558805691284,33.873448222461235,31.54506926965224,30.297621979161367,29.408375019957408,28.39981156038361,31.97143830287996,32.31582286822513,36.03799188074835,39.048599415518744,43.61052591800433,43.28568687249091,47.65508645450998,48.589751433301494,49.04341413789943,45.382700716742214,41.14456534220296,39.83569328408346,37.432681193498745,35.81982925875113,37.74613171596833,37.37159853034387,41.38100324603235,40.88603662430111,39.30380105033071,43.22285997167206,41.43142176856449,38.718922310492765,38.112367150949176,38.35405294829968,34.98001408489946,36.68862854476632,34.508077011678274,38.75873905959765,35.95698879416546,36.887708495800986,39.21550390186929,37.9587857828748,39.932613741983445,40.440533777357196,41.63938483070223,41.975918990433385,43.66100003039492,42.17181535293064,46.68051905827975,47.47704573202537,44.836850341919224,48.19784124418661,49.85149420593284,47.70039642808452,43.94411195014403,44.31953310435495,42.204161003138466,45.80950800297191,46.6549747346187,47.28292560314419,48.096451621511626,45.80249533200037,51.16162162681394,51.12090016564243,52.357141865283324,50.90483149859469,47.71806255624511,52.160339476928876,54.621307784845115,51.87575267812843,54.36721095185847,52.801000043519615,57.4809553745059,55.65030125260182,57.43325008541686,56.83428467183882,55.17358324224431,54.01915001583259,51.669873792187495,51.68689902732029,51.48266521499606,46.73308198755737,47.6593974489332,44.65717715036109,43.46931448596892,45.26881498031751,43.619538680115795,40.17049157516335,40.35016834997658,42.137383630751806,37.95823954325524,35.02072830296276,38.17385154665026,39.18478921918693,33.13698047595717,33.377843716200374,35.50430767368684,32.47300652731644,29.046805737897238,32.08074479995663,33.04681800020301,37.07829781734096,38.4376273698596,39.63571484650641,42.04050756137564,47.13318910717112,49.22064548431502,52.47496309562011,54.137067115544596,53.02320497738581,55.73083482814991,53.73682910356394,58.0733695106433,56.58334452994527,51.06815200551397,54.408370065193886,57.58924082823668,53.385515558267095,51.70612441212466,55.186218861185914,54.57698455626128,50.12234441611155,50.07197416199456,46.79299419595902,49.37915101041197,51.99509089534825,50.421524649522446,52.23760835109531,53.79593908645722,51.28400086735383,48.09825546588228,48.781746994101006,48.53044578737135,44.500352838478534,43.22652331041808,44.000611037791955,41.48193436920342,38.93620827686505,42.89224851838142,42.013952228624206,37.13659671436798,39.077367127862495,42.81032967926911,42.80778960177216,46.43938771170613,46.62527498951736,50.35111707581218,47.78925511434514,43.16562270524788,47.62971299275632,48.29441195295801,44.80974187904482,44.73992644980671,50.28656776858181,47.89642495808019,43.37829265523824,46.757156839402256,50.54573041803249,47.36293506604938,43.947184129167155,39.23249805727065,41.83422153986182,37.146706331621004,37.619968828912306,32.84854453921635,34.114646234945276,30.11188703218396,28.75444882922382,31.506558954570348,34.43644158660576,35.55238550178103,38.17807648640906,35.71874844535595,39.476571303165066,36.290897781837614,34.437669437829506,37.005241927246225,37.54526282699307,36.71393682218522,32.89734017764056,32.491269932725224,32.25421584992535,29.82828909291161,26.925209830893774,28.361507591410817,27.725620304383234,29.03646881876335,30.59324592129943,32.432442904282794],[18.957329558201245,20.187409130949177,23.84353232729585,20.947952621434137,26.876920664575152,23.652438203217706,26.25764173153368,28.994343155836997,26.517651133779385,28.643677577004723,29.876162861383364,32.3786925300179,33.97254297659514,31.101721935184944,35.55442135203013,37.93115173356487,37.30492186718504,41.16015079637254,43.002915753042274,46.36040539182855,49.05902798611378,52.76820485619226,53.31952576307074,52.45117187021163,50.34483154100306,46.10572996299143,44.8987914153834,41.0814780964887,41.812274999574704,41.50180984093079,42.983165081383156,43.13991573131346,45.70797686229739,49.445056322165264,48.191406199140516,46.811883259004134,46.432530323454536,47.25118121679497,47.30043640280064,53.33876725852708,50.49712055988921,50.47577424217795,55.0040808699865,55.459535454720594,57.47519676424022,57.807796262412815,61.82084066707191,60.18235377597532,57.148838187557,62.41189819104757,64.07149010140539,64.67988310311881,65.64367088392959,60.46047454921913,61.5333397313854,65.68870989882788,64.011600849926,59.68757914217568,63.08050015817259,66.44571630542886,61.13925380002006,60.8825474742886,58.36860868260999,58.983698926272154,57.42023459089085,54.38479103147308,50.40256261093563,47.173879913299906,43.76120998320903,40.97081723679214,39.74811268098279,40.74589681195893,43.35693805599665,47.442956217946104,47.246592756736305,53.20970099848852,53.361891983666844,55.843708433966,55.63921796687296,57.47877114296514,55.734267256218594,55.90350717013021,53.50439874590841,54.48993926642479,51.81367812687592,50.09901693365313,51.53139275153953,51.82425970378833,50.97135280888374,53.0120046569639,50.090634712453635,51.944544771341995,48.24644651140689,46.13804578135814,41.6791784595867,40.704623773719824,36.71737583641095,40.39173623518141,38.221262352516604,39.331003468705255,42.58495759591779,42.1408545911879,44.83198933905371,43.24954829302571,46.886280830432995,42.31806532171541,44.423423425035885,43.42952371610332,39.11272205094426,39.28450209889994,34.46836067812682,35.59190101448536,31.87872675307791,33.02014820218722,32.7069174639702,32.9778694015211,35.846130393439175,37.205244420380176,39.98033747583756,38.26148972601725,34.95032921175481,32.24865909578389,30.68638995067862,29.170202006159528,27.47989313240653,30.532333479016486,29.86481552018107,33.820384507462194,36.478227366811815,41.22417168569341,40.488031516820236,44.72613686858781,46.07660608130367,46.684703158765494,43.231773444622924,39.23435684709822,37.51152345611411,35.77897818672031,34.68238914897267,36.8900769844047,37.206390569434134,41.49273350217802,41.13199299437288,39.17286634594083,43.08708143103993,41.23176897764365,38.29324188869705,37.44148311170374,37.1365610611348,33.67749593399905,34.76195129829247,32.82494723171856,36.76302726558811,34.05681326100936,35.63563795900216,37.906289767509094,36.90766951273856,38.36788784073145,39.46863572738909,40.012404497577776,40.60662416823773,42.94729648761042,41.39310080554538,45.97571008701798,46.510697963329754,43.83631583747809,46.753728812314336,48.46824618592427,45.903290010709036,42.38982275833471,42.57058327663493,40.8228257918898,44.446534470340175,45.30900448529572,46.124338970104766,46.7771008492655,44.935640242203526,50.08063309176429,50.12709651625862,50.986869255996275,49.54825766445412,45.8835559996014,50.20433663808467,52.70608459402886,50.199709359381586,53.22615357104325,52.1104219681653,56.66783543710285,55.024153170760044,56.36575465112537,55.50882415976885,53.60481687104729,52.111793232603866,49.49521166521779,49.17748292758497,48.60012661565336,43.77913404695958,44.33106544733417,41.00579752706676,39.93019721108322,41.22603958933326,39.69978046519748,36.441848819906006,36.170778703060684,37.71713582945137,33.71877105327215,30.677610521544207,33.45749393248384,34.46697528799422,28.4861977663435,28.417699835804434,30.360706700629915,27.55727068305895,23.95455824628257,26.663014292732598,27.770006254638623,31.610539787671396,33.194586235441285,34.490421064579486,36.72457817688128,41.86032819740557,43.78642212717446,47.20261867682883,48.998212522534864,48.103506781948404,50.97610461822385,49.269502035730824,53.59037886126743,51.87300778240621,46.584366304702,50.14683231783277,53.180778595067004,48.96805479597786,47.56283628476976,51.23146489177345,50.40387400226739,45.929958324168894,46.42637812933805,42.80650515921609,45.7230633485599,48.10708969012134,46.26503195878027,48.27709209828336,49.644474871410196,47.50590797991178,44.18071695490012,44.48956481065958,44.53349977936598,40.671114073218426,38.96078499714043,39.66339848327892,37.28402687893471,34.503146090783815,38.17168542222685,37.35454386445287,32.50207224684263,34.08751735948271,37.728299058401504,37.71407003593567,41.479445469427354,41.9378541003943,45.52627325268124,42.69254215679078,38.27962807219216,42.90069308523526,43.301627287838535,39.786565656603536,40.08180758029386,45.47734036347046,42.87693290069931,38.60196545646457,42.24808197589112,45.78885313518677,42.50443919947736,39.25995249605328,34.61730540634375,37.17853236370309,32.548809837552206,32.585120005910355,27.995625472744766,29.319226464759243,25.445781856134648,24.178243947991415,27.198633861898315,30.199838342870677,31.614789857495865,34.04670740862603,32.035841063904314,35.983009403134695,33.25783758110643,30.761366969190167,33.508420812814414,33.79663881001445,33.566523066627724,29.586778049684142,28.558907838589004,28.7606311251766,26.941423749922368,23.19049202590981,24.54153297063324,24.37624861402014,26.160684116231447,27.772778651735187,29.453738246622333],[19.341697249452395,19.634080168876302,22.56899920962661,18.395060911254276,24.094655608656137,21.638486780299903,23.684514821871698,27.02623482213066,24.420201602256313,25.75203631670745,27.347171742502656,30.406575411381336,31.06001732509449,27.865589972539954,32.557970574313146,34.903782215116415,33.64543196389004,37.33341293802598,38.65165624776407,42.12567104486803,44.58082622137612,48.24867378951715,48.56616880939435,47.46462281678407,45.51586686541144,41.3523405506879,40.376072794284255,36.756720740949504,37.95090881127209,38.15731128716231,39.86756070768781,40.40238105527761,43.285696569098285,46.694715946996375,45.16531356375115,43.339241429454134,43.17819566658352,43.31353401272781,43.16045322620855,49.19077670274483,45.90691991633965,46.00259600162783,50.55774343864971,50.979058330836054,52.74097758482267,53.04824592460785,57.057684816457545,55.63096131839949,52.68279206398375,57.92066604356416,59.74196937067313,60.56116203090571,61.59061227996758,56.25791141621648,57.71644934134567,61.7572880273264,59.795812910843104,55.6570510706895,59.255941199290085,62.33896090904986,56.89103750443421,56.78162216784171,54.513336279356345,54.80277509207579,53.07895398723629,50.2680255593775,46.18199006644182,43.26430692014257,39.636691077006134,37.252867059705935,35.767640881036975,36.87919395058474,39.749628639238594,43.54492358202841,43.690409564804675,49.77536354017134,49.70717735148346,52.54330959524282,52.16324546524469,53.7744581163625,52.2529051977197,52.191046675770025,50.19501103072387,50.95306703074496,47.95316668278824,46.4383996308536,47.689778515958395,48.48920902856364,47.34628852382334,49.90897684515771,46.881527025459576,48.904396351193306,45.40995228610558,43.59556265368321,39.05896647464451,38.423584541916625,34.31763167812869,38.2345014499532,36.24825996727637,38.05834402779548,40.48307443268598,40.33390648709589,42.346948263353305,40.96831689406054,44.196068260660084,39.72141088653436,42.07928125448377,40.794294711147614,36.666353045006716,37.07354622059832,32.13718735969543,32.650905351148,28.97740333131279,29.40629849836949,28.97726857287523,28.693043510806305,31.483840737063883,32.28754729376334,35.20511962171519,33.97678274233858,30.54518718162876,28.097076254923266,26.06397976327381,24.92375690182314,23.76385840618432,26.63019508813046,26.895751837309298,30.528477681241192,33.397863627615216,38.07975418324141,37.22856282538603,41.689486958123965,42.55233641043642,43.40651130234099,39.47657099679543,35.395913267371995,33.59476433971408,31.437528667727914,30.007224012165487,32.32958723571546,32.14879674930736,36.32577601967196,36.21516365022833,34.50623632391939,38.5894072565287,37.11118059385649,34.199149256451875,33.89325962441025,33.970119261455174,30.955772458077853,32.63869407812647,31.260368410162133,35.71172021039549,33.80439212030361,34.83151018723552,36.52642315603301,34.908291044477124,36.30422349419612,36.820399507058205,37.227901786787974,37.10052110098927,39.22305942897434,37.14913106872711,41.80038617918163,42.071149153025424,39.08329885097018,42.27430688894103,43.74642043634686,41.39698565469027,37.76673465401436,38.23892128573538,36.459693315679914,40.350584319087744,41.509714995380904,42.54074409867407,43.62929539698959,41.81278111317385,47.1391677022722,46.67996537365566,47.71410282482659,45.80603336766101,42.61630941152986,46.694981841747556,48.97798966474323,46.25723134719675,49.05558287405975,47.80181248482491,52.239013161404095,50.237417233406056,51.81292781685429,50.98498875418607,49.321117433882364,47.90824619165865,45.48952590323299,45.440952766195885,45.09509847803027,40.33566233352915,41.36390475133447,38.361719268302345,37.522058070543146,39.38377197092614,38.1266843028974,34.52531357923152,34.43397260498859,36.61000222975128,32.65179085437461,29.149969999886817,32.58430848568892,34.26137419765542,28.05950188069406,28.138499200483,30.740838112319565,28.095988925546212,24.241321574283493,27.398799318058845,27.80260983445114,32.36015405823552,32.7822905416227,34.07051314936817,36.85763829353924,41.75053221942975,44.292964358024605,47.11312509887251,48.88587393291127,47.559933048853345,50.269713442956366,48.25722991129803,52.37371301393462,50.805431407786976,45.16277685241102,48.49047563677248,51.4680426764949,47.15967912864924,45.463192062827645,48.845710082703256,48.082928897526536,43.635390820062156,43.57187520492634,40.49714480793407,43.37575293392509,46.0925346276753,44.80814354567005,46.91535373687454,48.82341611102505,46.39285087531161,42.865298657370104,43.93127826040409,44.05904450001724,39.78697566213469,38.379577501233896,39.72525224829632,37.460472681115554,34.515326614024985,38.59346237065855,38.2438345767154,33.415137545365106,34.919572659844896,38.744126778675586,38.24836539548017,41.74297365665447,41.65400774266214,45.21534287336226,42.7636959601737,37.86422415459879,42.09618134725677,42.7211101102523,39.211610079981206,38.79728726800663,44.326448261647485,41.95984789939317,37.2384240925083,40.43889397743341,44.29204221968018,41.13351505246772,37.587485264278946,32.85006631944663,35.440650678567195,30.74473591991042,31.619313022451635,26.70396805333871,28.099056314283338,24.29297582778545,22.503310063398626,25.0456493632571,27.83110472694227,28.89800438145336,31.78139198158358,29.487970818101747,33.3564544264027,30.366991944161533,28.893921525360906,31.951380477402743,32.90758583490859,32.41969820914715,28.027829279168714,27.978454596678695,28.455781568942246,25.701774977030787,22.51090373228736,24.889768657152196,25.124751785189634,26.567364428713507,28.570244143769795,30.46898120315637],[19.816326847648977,20.805234630931718,24.45942556548048,21.181183463004526,27.199918038704883,25.32555498913806,27.98421781124995,31.385217952985975,29.26802541536785,31.00289451549891,32.74347757361192,35.57291505595397,36.36148532534326,33.422920245509026,38.173959208051826,40.40861977644947,39.133054973438895,42.93296143898176,44.22440083425304,47.61028048745822,50.07515934008457,53.64545017425621,53.94484332410577,52.682968475575464,50.72567477777046,46.66277901967001,45.617812916140764,42.052590234296844,43.364242432439774,43.509188380383826,45.495985306527025,45.77407949326934,48.71807806760812,52.247834026473356,50.62550190317579,48.83382559198535,48.449417201607986,48.576550019244536,48.241040984448745,54.12122271095106,50.81987554702068,51.23138020056093,55.77826709751273,55.98717693060588,57.6229932986555,57.68052333802496,61.76087421012922,60.540436481897444,57.390880457671116,62.479550993128235,64.5432591446603,65.28177571999149,66.49651788350617,61.264695581064956,62.760842852501376,66.89657641474481,64.97451385025454,60.92733178585525,64.60303084850263,67.67354155807934,62.28289051734726,62.33951414553089,60.13922744198567,60.440609249969675,58.590502409297805,55.80164187137662,51.81847043707388,48.94405571630602,45.35186838226113,43.03000817386041,41.54339603507437,42.67418050806351,45.57061459629754,49.328876833289875,49.46033140884899,55.56056160885179,55.388837881329934,58.22293246026622,57.73607950266788,59.241903545024904,57.56618533263345,57.31219988485286,55.165202573004755,55.72985042479472,52.737309820730346,51.47301348937061,52.955309278328635,53.776476828761936,52.849549067165796,55.477459027398986,52.555512925303155,54.65875521266631,51.136277053357595,49.23432907645413,44.66968762157941,44.04791421847458,39.9258811495194,43.632981940844026,41.45750622295882,42.89076676994462,45.5276986086543,44.91375382471589,47.16272706702921,45.325934597706556,48.35770756369218,43.654869983555415,45.57076429832195,44.065976821542364,39.773171398231106,40.54520324947871,35.65381830376759,36.73843332592747,33.408223886740956,34.013342636360626,34.097170136736516,33.738208229678555,36.73764929595795,37.43097470849836,40.58914189650804,39.5143410618054,36.09487979228,33.625455214157824,31.32825535453981,30.045723053009645,28.650401264615503,30.995953986644157,30.62239000210437,34.34387236935214,36.86975608803025,41.70534513014206,40.2388051866506,44.62958024760226,45.744689116724864,46.960815538324965,43.01092240658729,39.203283052898435,36.783833404048664,35.176889419912065,34.051060022824934,36.73336176636025,36.68159716783641,40.90380425803624,41.114108562905294,39.36954937618905,43.51550665301471,42.18092134187432,39.167402584721266,38.874778096116486,38.67101005161666,35.67428564252186,36.93156532400021,35.69508037110336,39.849250210389734,37.81607189185137,39.3358309202348,41.12622571762786,39.73739383682129,40.82836618853352,41.70959389373659,41.66875740753266,41.58015341383054,44.09696925688518,41.77900854325623,46.48678964357712,46.37414430020004,43.083204674248044,46.02453637470549,47.24989509359516,44.60266111273605,41.22621719124218,41.787725378664575,40.45491828136176,44.53175063842932,45.86158890214165,47.124444476699345,48.202996831333046,46.70360763897256,51.89525543367729,51.402621946282856,52.20028042789898,50.14823578395058,46.7345519671938,50.56462632971795,52.753941817808006,50.1732821700585,53.33920395839496,52.3879592221109,56.618963070427874,54.489993685481494,55.84737034224838,54.75683219938394,53.063935960160734,51.293700314522404,48.71292187893564,48.419880284978895,47.663631857041835,42.86912679097056,43.667309109821296,40.319805997522046,39.90039507087178,41.15760881558505,40.26334391008286,36.859792807727445,36.00303222281561,38.01028048067803,34.43246106744927,30.5043062070212,33.42543620649048,35.34349531960567,29.259378670448793,28.655006383670504,30.989275274287365,28.89311358371733,24.61959855735993,26.905253101319122,27.424461752829178,31.66801937784013,31.940174439132605,33.848180699798895,36.43787312228613,41.31450696839781,43.61114897985996,46.70291558464992,48.93575741445423,48.024163977666724,51.0729340081888,49.565757569356904,53.542087392824605,51.50693507119144,46.2067938531845,49.89127138085721,52.44325609730456,48.00083352746999,46.768911392531805,50.316258847964924,48.96081610892179,44.49764016966686,45.26111169278747,41.9949799785642,45.552565489057685,48.039915404049516,46.54622465044003,49.01721127316473,50.73226548500239,48.80903612814347,45.0608801763005,45.67361734176138,46.22897949953664,42.185176156108575,40.18366496918261,41.42622542648684,39.3538781758942,36.10596722149259,39.68175233266049,39.37053813302004,34.608678407770455,35.511507166367466,39.11084505032178,38.60944298871257,42.3616862388284,42.75163317943839,46.01144459635468,43.02014333357408,38.49727358363127,42.927696515101985,42.94710082554945,39.335587984654204,39.47183562539689,44.63451251247184,41.65250714921445,37.32000687034781,40.92709925350561,44.19898388856122,40.59755505850031,37.29784006505826,32.72639100822013,34.63163190752748,29.905669316676892,30.51506758600709,26.166098075260667,28.285445427665323,25.054911925453794,22.743580577596482,25.618128384714097,28.088840638864237,29.845654983796432,32.91601642134792,31.52150644557956,35.687128457707736,33.329713429771374,31.369985399849096,34.74809870432382,35.45039559640921,35.64277045722636,31.085510141752295,30.331988607282256,31.29755652899282,29.237546732275245,25.167250032500984,27.32093951889199,27.886664709432797,29.78668690786225,31.646581552462347,33.312843895930804],[19.8934606427557,21.35260782212885,25.38116416031744,22.848633323996157,28.946997908760284,27.23461923766031,30.26063331721104,33.57004926081161,31.76554130836223,33.842091465469345,35.628027384136026,38.227622059282,39.221496637630324,36.518947636886566,41.2769658291703,43.42447518173776,42.25541949946251,46.18053354343646,47.60718017009894,50.88177677698165,53.44307882951835,56.95034241688398,57.335374920909494,56.053333298913714,54.008764203054824,49.98623147484543,48.80465962850005,45.21290185202043,46.478785887117745,46.46799472855893,48.623593342140516,48.639574841208514,51.58508100410509,55.25219083225736,53.59785081635155,51.918222654157326,51.33035940522923,51.60620440214623,51.207509919023416,56.992995572525935,53.8194879847415,54.39387877943773,58.92626866633065,59.01036495504317,60.65575814376471,60.57770063881621,64.69729120132082,63.525405703642015,60.23190452477998,65.23895578570854,67.38877317110456,68.01699044053238,69.32199242307955,64.1982470757117,65.61161626586494,69.83805060954019,68.02220617424062,63.98605640964576,67.66133396218892,70.8001564941399,65.49419860307039,65.6396325015876,63.427015507562125,63.84855240471889,61.93065503701188,59.08228459033365,55.22902372539606,52.29202007092146,48.80899922474882,46.43333065284101,45.03388431834223,46.223584165726216,49.033442373045176,52.821935207067526,52.81754495618873,58.91846803009367,58.67493272250726,61.42984933462612,60.882359344151084,62.356819468792054,60.516895674226014,60.18787023836642,57.85460704676227,58.35154565738678,55.44688037930227,54.28626439919433,55.960082692600444,56.6794955433075,55.97318866748181,58.54749387079205,55.739895039553524,57.90513660546187,54.324306318299826,52.29854411144254,47.716846252211866,47.08934272318965,42.96137712522189,46.45472466372767,44.121877079296844,45.22130969313182,48.07830647984224,47.129030269575985,49.616042729111996,47.47902772976377,50.46479226663624,45.63809507485625,47.259501428505544,45.70839598591708,41.31899663904926,42.22640553085699,37.41672946452102,38.907986180692546,35.77041522522084,36.61207964888784,37.004252128483344,36.73915229521277,39.882557807329114,40.698379257770014,43.97360755984782,42.83700309380106,39.462440314264796,36.895516840045346,34.55925770493408,33.08513169326082,31.44176101038854,33.555271625847475,32.662351801356664,36.46676996316059,38.75754724114761,43.653936757109406,41.92146005226991,46.195744257867325,47.552158338365395,48.88017340407841,45.05982374668779,41.42687196383839,38.750592638139786,37.53227162415678,36.65817092388193,39.46797832211038,39.65540781061148,43.93498246912995,44.22611730516738,42.37491869996803,46.498256985231656,45.14131784514845,42.065189848421596,41.65064120640799,41.207537241332595,38.150367002562845,39.063349470455925,37.83862808483275,41.72906498158743,39.561644151237545,41.42763529961956,43.319996703621776,42.15407276974249,43.063477478299305,44.251200328407315,43.974132049025485,44.05753632448247,46.83912846134076,44.52397503294171,49.23421917152359,48.99197530790707,45.65957690256777,48.37795475064639,49.562306187159244,46.713957444745255,43.5097948891449,44.01544034106696,42.91303858682443,46.99137216310342,48.3282472339683,49.66177894851548,50.63505877241271,49.319897312278165,54.3847675330423,53.97904227421884,54.60039811374891,52.58433644434527,48.94604150172776,52.69010303015141,54.88062903813072,52.43747150869402,55.8519469836544,55.108083522653416,59.254408807266785,57.18086293456403,58.341545147774376,57.111658418459974,55.33199185376964,53.36587456942853,50.656856089634395,50.17008766078654,49.15810396596366,44.357983758833804,44.915692247245445,41.34827530863357,41.07689455524584,41.90196161954438,41.13899270209766,37.93521083709588,36.67468588189361,38.4452017523538,35.09158863381756,31.10040398292323,33.58992937177228,35.47979886599387,29.586681777710044,28.618708120138297,30.655609261054487,28.861996451079893,24.503331926615942,26.1981130267366,26.898356450601742,30.767225394250275,31.199643944096373,33.3860766991275,35.73072179782608,40.599297308185164,42.631530316673654,45.955051001523806,48.405481814123796,47.79289649932691,51.024999638336936,49.8431300332099,53.769414622985714,51.48156168466537,46.461862918289654,50.349875111335635,52.6939208925213,48.23687876280275,47.30511213983047,50.980328584268726,49.34024125758244,44.89283064542976,46.18151918712792,42.70897231744207,46.57615289344105,48.859113665482816,47.15039779725296,49.771231408320546,51.27508505231512,49.682219104401206,45.879925579977446,46.1154559341124,46.880388814080895,43.05467525099732,40.706875892588805,41.78153149717776,39.81702163822301,36.464969167154806,39.67164691788233,39.319610845572996,34.64920147206535,35.223006467918104,38.63248777836927,38.20724894611329,42.10287251419884,42.832969967880096,45.916634014966554,42.6023090434317,38.40554758041384,42.97135469755926,42.643545652853284,39.01358940252664,39.57276380055064,44.48333906828727,41.17730160237319,37.17969372896816,41.052547211360555,43.947663331506604,40.14024023588772,37.06663857443981,32.65391987775114,34.21931588637447,29.56898755706553,29.809565409543428,25.894458583352538,28.292486641349704,25.394096521753408,23.02174052602784,26.09502183572961,28.433291870835376,30.55933545429483,33.545146433945575,32.654590869400685,36.92967557781366,34.95795663653023,32.569038060786916,36.00875422987929,36.45925211522749,37.05047752476975,32.52275074832925,31.261563552443263,32.436718852745095,30.899671627408917,26.363105270484436,28.227884053559077,28.93535337357034,31.100373450881513,32.82990427788611,34.32384479295948],[16.650894853547083,18.227328984206306,22.351716178778073,20.15101463105579,26.270790901737726,24.14859463752249,27.342271284495897,30.44002393711953,28.77236234359665,31.177174968683342,32.939950167161584,35.29314656159827,36.55405450718203,34.119589507064696,38.83691156119381,40.88933916534358,39.96577055817867,44.05204266695678,45.829881914553226,48.93270216295053,51.71418819908842,55.18376844532881,55.80635406680425,54.6871366837379,52.435823885650116,48.38298652301776,46.95406533614226,43.22896771987999,44.248575720967274,43.9573581309863,46.20304286212903,45.918437519275614,48.82105438270822,52.64245419502817,51.00411050696663,49.526270613722225,48.740757485688725,49.35735138931353,49.0395018149259,54.80808472519279,51.95214282171285,52.50158717629186,57.01226528396939,57.07209690701431,58.913402592025335,58.85112081304547,62.97825448718052,61.634136760762885,58.2647449884196,63.30129455967483,65.32346053579015,65.8057718676057,67.07258568217357,62.059965636667805,63.2358371725652,67.54585194398055,65.92583076085614,61.79371697177441,65.37220990661746,68.68534364107714,63.50575219787684,63.6621276550129,61.34188545619347,62.03474938025017,60.1032116791218,57.08696246722798,53.43168741240822,50.301554156081835,47.05660293416966,44.50001951137806,43.32242398012688,44.66953595131327,47.21497339645275,51.088000051817204,50.7654999810112,56.843188750564565,56.52844957097728,59.10945014027902,58.535606187241676,60.055378453192425,58.03242675006282,57.76922149032868,55.20903695911443,55.80131297788146,53.076764461393665,51.828299212370666,53.65292858066625,54.12306485332471,53.65552039564643,56.04738145656236,53.38523606907827,55.62170229462465,51.95671887933236,49.76041061094629,45.16741526643762,44.555833847972494,40.422473892246536,43.64857897951882,41.17514972244279,42.01264119419821,45.05885298648739,43.92934528145839,46.63772211729931,44.39989538899149,47.54504195543936,42.705611074035126,44.28801155662868,42.916306124854145,38.478303004254876,39.20468654513103,34.44105455456134,36.120701747838,32.957180366020005,34.12738937662911,34.62520156315516,34.66741445119985,37.91056051636107,39.164858244179676,42.43433423289719,40.96218531522789,37.69217615271162,34.91603757800599,32.78399972644502,31.007269436638783,29.038779331839898,31.247952595938283,29.947023646836314,33.89232289212933,36.14042595202216,41.03538597150871,39.53368077080217,43.70552080599641,45.26411480827755,46.347873026482304,42.81215750154613,39.16398259478737,36.71465479440801,35.62630007576592,34.930775833338444,37.584871776448615,38.17995031686933,42.57382782201713,42.633599203850096,40.55861583929582,44.55847760022576,42.96241206093968,39.85792100544864,39.145476039673156,38.49960061276054,35.275181710665855,35.95192998576595,34.597355836096405,38.331397211597626,36.0635445314827,38.08430680224263,40.05322773263638,39.068498002978686,39.93661773184535,41.354568284472705,41.09184700652474,41.50692423751196,44.40451470137132,42.399494733170734,47.06033830223973,47.032654984155094,44.000967673788566,46.56704950523503,48.023826316723834,45.105325836371655,41.90193563624178,42.152804246399036,40.9550763766551,44.81478361153413,45.945143552093036,47.14202583395802,47.89875614761764,46.593226928595385,51.56084378442822,51.38444519909835,51.9207204548885,50.1664188931373,46.300506950090124,50.2141572966679,52.5534466802791,50.21184094094071,53.70754918001278,53.02677369447108,57.2785067961629,55.50622753533346,56.52011880913828,55.33635135021979,53.381736960908164,51.46402677125905,48.67079102035943,48.09141242278522,47.0904386849386,42.26270602574207,42.62158566452565,39.007195615923195,38.441138691925694,39.21670514427849,38.194386937697466,35.07146599096624,34.00750288845488,35.56404269173172,32.042396674016906,28.400428263412334,30.82266408498243,32.35756095055718,26.46876351040444,25.70958900567449,27.63616256002076,25.562514543122145,21.40081899789527,23.355157434076663,24.28078631874556,28.08483599975904,29.119322954670636,30.951132693766088,33.18198669542751,38.195314355246744,40.13182128268845,43.55788908251214,45.77355522631834,45.125632557618154,48.273516563982184,46.99323861566947,51.07962244462248,48.9412567004325,43.90771312382926,47.75326742095775,50.335358173361925,45.98748313223349,44.975014132515106,48.73760327770908,47.36728970759,42.900228331893224,44.09941078250603,40.391267097816815,43.99341256122665,46.20150625488411,44.31197935185982,46.76410530466674,48.12786544188501,46.48185063565954,42.81681171409339,42.91882374583798,43.530913116398416,39.772157116833,37.48574626553761,38.3943962409096,36.3449404698182,33.107451111739856,36.367667312141016,35.884429101807434,31.16936345533808,31.96012940091806,35.42837707439241,35.142735545213775,39.03691023433192,39.76403950442838,42.993705835265274,39.7691748739609,35.56448252227445,40.22212365712423,40.092711101401726,36.496159803844364,37.108641966190014,42.1668936577359,39.08501186517306,35.07176127526025,38.97471350834149,42.052216413642554,38.44341727634743,35.371238435398936,30.883181468972044,32.91949585403495,28.309880262689045,28.20488270826663,24.048398334566357,25.98623194997913,22.734836198350198,20.89404947678783,24.096857182350927,26.78118887236889,28.736727784758816,31.35305320718511,30.205524567848332,34.420247405995944,32.37657937173737,29.628414606740638,32.86583493978353,33.13755570066208,33.698313655310265,29.330685903701184,27.87559160519227,28.910444103441538,27.563025682001445,22.957894205897635,24.60865825903951,25.26200270640469,27.47479159591039,29.184198879885937,30.66198957970498],[19.14648576750566,21.211788593561973,25.448101441809023,23.87256179814614,29.8922125538047,26.730285755951567,29.91730644849253,32.355708508027924,30.396360263678773,33.13610093741834,34.35630878063036,36.37271763604644,38.43665935204818,36.004733383459,40.382392740528786,42.61161257657283,42.271535382658925,46.32045072389605,48.462215794621756,51.625017792912246,54.51264146037013,58.13727403723408,58.87040184381878,58.03572119756177,55.76808292846253,51.56854784993723,50.118433321813775,46.2256753170658,46.78591292953051,46.14087090695952,47.80842889140484,47.49784518583777,49.97860373146411,53.96701147550254,52.738307211006735,51.630662886692996,50.913379030354456,52.103244772480245,52.1188636971222,58.0222478291126,55.47471265132296,55.639670640217965,60.13429911305988,60.4343296686956,62.537975250078034,62.707473863770225,66.77617696547738,65.13001837275273,61.884900058963574,67.05829293466289,68.7698722344931,69.17194196914768,70.2267595257909,65.23089505449651,66.08110929593144,70.37902222583125,68.93135439682136,64.57557770567891,67.89665701014091,71.42976535457082,66.28808960681688,66.11150156139935,63.52458915664891,64.39436782042141,62.778150847058754,59.610673471035575,55.85289942176153,52.4721966994048,49.28170336325508,46.344416902129865,45.31174315226333,46.37992888489188,48.79023011955312,52.95736058425791,52.48285785425502,58.39316864643256,58.48667249268601,60.75884646551535,60.51031100706816,62.35892686557015,60.33338812812565,60.463715807016136,57.7102554133872,58.66978289147332,56.2061123048619,54.57755140465327,56.31192347893927,56.33198782841668,55.864454314046206,57.69289014576891,54.97788065278091,56.87873446913505,53.070553158467526,50.727274076041084,46.29343869849941,45.25303521963354,41.32067305710476,44.58170127643046,42.16000682405049,42.610099119875805,46.346478666018534,45.361197420106244,48.537134044392026,46.505356440067644,50.17924563618401,45.4491752582713,47.09321594174405,46.14028868226418,41.67263752123349,41.93847905155317,37.298609049739404,39.10180445709875,35.66371051933097,37.27651771080739,37.41094676527745,37.92023241302024,40.993601182618775,42.628061179754944,45.541696233161936,43.636155761725654,40.424153384538755,37.55098635197327,36.01672085723128,34.17386047096673,32.057000769362396,34.81200392907417,33.26022074674804,37.37437650316305,39.665293006221845,44.477575285590916,43.4614613369979,47.47385657792488,49.263817196258515,49.923099715276514,46.785567513751204,43.0359298448759,41.03237540095656,39.89079691156142,39.19353673151582,41.53905176603732,42.28957441046534,46.658987839122645,46.34486078303999,44.19106142891799,48.025628127813846,46.053908557602114,43.03527297349494,41.89655807108827,41.17799986831784,37.56026852080567,38.01716137888061,35.980586769945,39.36999415770287,36.29914069526538,38.49856969916402,41.02773355389541,40.50672248167292,41.714354266561664,43.374855686200505,43.62863046167011,44.63566878859723,47.37208966429278,45.95921465553212,50.51805241041855,50.96105533732247,48.329673241187784,50.89264961495567,52.63771314499186,49.76884350290166,46.493515829553274,46.5174838947415,45.05905738928066,48.60237231872022,49.38701388194863,50.230669786370726,50.62287157944106,49.02851813519092,53.92957590444633,54.232340035890914,54.81095237206503,53.56018399846012,49.483157385069944,53.75708213205061,56.324242075649515,54.05740918404879,57.456135010505506,56.64650068725726,61.1312365286607,59.668310739163964,60.68947069450177,59.65105023357441,57.568872796722125,55.82131288021215,52.99351364837839,52.35991851843716,51.411678976518445,46.57967153306899,46.694156634878915,43.026331995321996,42.03700696917186,42.63234341231129,41.1658486690364,38.287460634134774,37.496928593547125,38.524823202975796,34.80488682693879,31.901002209851132,33.92269496486137,34.614503219163744,29.021163983642705,28.493486382929664,29.79560588297659,27.305300229027992,23.79119497009524,25.610991432793924,27.220461907741342,30.26349218830528,32.559191765600346,34.1023526062985,35.803854550216606,40.99714053373999,42.33859150915052,46.252389909365554,48.2690584591179,47.88066111346732,51.000197690752266,49.78304666841056,54.11318606234377,52.0712902699076,47.25994026625097,51.11528627541398,53.937770886420616,49.772062095770636,48.80716435389226,52.714763266850014,51.56680457851141,47.11682972560962,48.38308711592151,44.349595259487224,47.602740717498655,49.621437306211554,47.33590838074042,49.46999471029431,50.38027812777785,48.75069117208853,45.45563104629087,45.038654827453115,45.29858837012723,41.87541751092095,39.65542325855551,39.90905045957784,37.638661354117765,34.822339321259534,37.85902455818171,36.81123234591016,32.10871108329774,33.323404628516236,36.63413399735865,36.916288144687435,40.92419523258442,41.98577626962438,45.36491181507348,42.041209088096046,38.224819088584866,43.11647969808076,43.05416061795615,39.54864648480201,40.58415374015288,45.62224276844526,42.61736898305432,38.91272999662976,42.98474230907481,45.99081104093423,42.48303504202545,39.62259472339087,35.225001284335924,37.43885748969097,32.97828932481257,32.275884977867875,28.313621120863626,29.833928961633546,26.344369550399662,25.26183789538518,28.597909821022014,31.516798634785665,33.40538463697877,35.5500213077367,34.21027415226538,38.267698790548145,36.096086960540944,32.79880526580317,35.484983557090544,35.239591408244976,35.60296806818396,31.83243541864711,29.872151903560578,30.251557716969387,29.43354391813009,24.97809455381504,25.595545415785057,25.505563730658483,27.73599961195159,29.006054759201447,30.346758741799135],[18.726011600664812,20.83392032790924,24.85713359674836,23.64285396682015,29.365261839055925,25.326548430572938,28.40887179047654,30.260668819235697,28.16942152735072,31.203739660224002,32.05387042199805,33.70858310433504,36.35357632658066,34.1140248153521,38.19326751603589,40.43849729794865,40.59085302121611,44.660267381653114,47.216384170822636,50.268837925773326,53.332925489668746,56.99439062580825,57.943670153063024,57.3980067711594,55.00228313176538,50.73200732511529,49.12984910697105,45.09697216405661,45.22177224521972,44.216326258009126,45.57273281543109,45.0882150836123,47.28114996529336,51.411836822020724,50.43485843747112,49.66284295292589,48.89673132177311,50.60651633466784,50.88340874716542,56.82307991557086,54.66713486346376,54.55739563440861,58.99419292363537,59.437265704542774,61.81367935699061,62.15852589781335,66.16022105987349,64.21687658639422,61.04857520784708,66.30754029070232,67.71817984441057,67.99851473732258,68.87557872409134,63.96854430891544,64.48263716413118,68.78989081237195,67.558293939112,63.03137953669238,66.1262600061515,69.87256394692876,64.85267880412636,64.49054303664857,61.697329568358626,62.83878945341999,61.4023464634158,58.05805755557345,54.3992200454104,50.779107610198395,47.81491426109995,44.57682114943904,43.79569600299232,44.82509719012854,46.93616928513777,51.27596588581503,50.50014111921758,56.25724808960706,56.523555724138326,58.50240234813402,58.422620096287595,60.47733425789813,58.37168087856548,58.78671007395141,55.83562006353352,57.08275476005576,54.888227205050676,52.96569765769701,54.69290643427849,54.308483699233754,53.963783655708205,55.350561026254994,52.70995618715315,54.46171564018282,50.55347452922145,48.04587245418923,43.731902425103094,42.48534295026503,38.702037430878256,41.78934891341465,39.35628966497602,39.483816483305674,43.65225323545585,42.73718292221836,46.23303072549837,44.37007516827527,48.444572797440784,43.86253313526019,45.61515438836363,45.057241796613624,40.63179876937751,40.442813828042546,35.94492305650019,37.77454281786222,34.15034508151306,36.155627731127474,36.06821727982562,37.038155822351534,40.00087336512985,42.12212716410309,44.770342332672136,42.4116784454201,39.35424460405857,36.33690878425035,35.330999978934976,33.31003764927299,30.98230925854689,34.12240966949409,32.33721533820927,36.53633091123959,38.86762987801227,43.54229311105364,43.07974774855915,46.927263626068,48.87569475301916,49.07413698838007,46.34948650869474,42.5190469718394,41.04650146602151,39.850747037849594,39.21528968030269,41.194491514314336,42.2456688129161,46.62669388528752,45.917326149955244,43.60498855092334,47.21504712310084,44.886096706741256,41.95213651077891,40.402539333269644,39.57705443297385,35.681983924374485,35.94500635138349,33.43059939128913,36.553089063174596,33.01141388129092,35.281614984233585,38.13657655006609,37.952648101182994,39.37568335005676,41.22441534078268,41.86302877411799,43.380658251055564,45.99331363679966,45.15707970631935,49.56842571479997,50.46537138813247,48.315223956601905,50.81096602464554,52.90540537935134,50.11102122177258,46.775865086873615,46.512360623414516,44.78267076659335,47.948639022491754,48.37893024831181,48.89185487867719,48.9520661356409,47.15562026546463,51.94721870309706,52.653731159819294,53.24890457626648,52.46878121908085,48.226856725633134,52.81625450168045,55.59560739013463,53.413411658661865,56.70260512961359,55.80550336303748,60.486161562234294,59.40820983044675,60.38480058062589,59.51828275753719,57.28254326141423,55.746932073811195,52.911336355832766,52.262359952365365,51.460654150210345,46.65681254222759,46.5922630996165,42.99787808334415,41.518864905447714,42.16111918447677,40.222438772095536,37.49309666057723,37.18794313706219,37.86511386626433,33.870264280834014,31.72103182023195,33.631164439241644,33.59965019897681,28.206620146310396,28.154987617142673,29.148672946626313,26.11792279064645,23.2917837399862,25.467691794576,27.454427502366073,30.166534563902733,33.393890835018276,34.37601799937329,35.81612031479738,41.12921152827902,42.224064556517824,46.289022979266726,47.899941103568224,47.47504544743156,50.397853970806494,48.99423784690819,53.557548778080246,51.81450508287348,47.01889417495979,50.71809799759558,53.911812006812895,49.960961655350914,48.83624737257171,52.78628928372448,52.085543965822964,47.66813723420035,48.66376847901195,44.42449884429405,47.12854629531544,49.06068458273251,46.549544166292144,48.29623291339205,48.947611478554606,47.14420907860151,44.21373993957558,43.59473929333033,43.438117550530954,40.18718605330336,38.24558776532381,38.0830517724653,35.59401903850428,33.2045837268209,36.29883153566914,34.86528269489229,30.15941761555226,31.94564825900635,35.261935867709624,35.91761870666119,39.85324651851992,40.90728103793871,44.52573276625479,41.41828161257959,37.692248835454386,42.64152096350697,42.93018096082414,39.552275696191835,40.62820157413801,45.81832174818363,43.20387834476823,39.533474732427166,43.5358206909763,46.77484963134498,43.58959757588367,40.764266157542,36.35362311664708,39.086855785800644,34.75308335793539,33.72382275049513,29.584338548566322,30.427349814700833,26.518376542234854,26.24905469484344,29.559390732498162,32.80924295972438,34.364588326541366,36.007324415133986,34.194688744770616,38.00734244062557,35.59740840800535,31.97023040055433,34.11176494141247,33.54905648864739,33.5837515778067,30.350850062412768,28.213363487710957,27.976084026301177,27.4208149090851,23.336580136156815,23.239540663247478,22.55026157851,24.64517998284807,25.667936291794856,26.975745762633117],[20.691896676130757,23.21968854791043,27.588595517396893,26.94841912817586,32.77505658515808,29.277639688858695,32.665601607347845,34.61685174870424,32.87585144754098,36.03772095609983,37.03233228038469,38.594175979270716,41.20667642508886,39.088357902642606,43.23767288312281,45.406516573225865,45.477612533224786,49.607040973270266,52.09660291695548,55.11750011445151,58.175965699621365,61.78391296046698,62.708121583757546,62.03769730006249,59.63871200761916,55.42215045290229,53.78943764088686,49.79767275918419,50.04521767318213,49.0475344273974,50.60662944198832,49.97907151053608,52.22712849447674,56.408718514840125,55.35496426367933,54.579137285935715,53.67241071394956,55.33141050916905,55.469785608932675,61.31115029616026,59.11878170435886,59.23007502986493,63.67162952936804,63.9683530750269,66.25622404955789,66.42894601276663,70.48834024733877,68.68787803821621,65.37321853502876,70.53837482558616,72.117859621707,72.3405523524313,73.34973332578816,68.50477454285837,69.05809778050606,73.43105696329816,72.22252047502302,67.76357509100468,70.9162276698406,74.64809007054906,69.66341516081529,69.42004996516607,66.6823475584842,67.8155509604682,66.28853726086086,62.96553201657835,59.35688452298175,55.781842184422096,52.80685659565382,49.639139132891565,48.8181502013675,49.86414977662439,52.033478746045965,56.338741849927125,55.586852350206705,61.36724935332029,61.554300591034604,63.5496340997353,63.389375325429704,65.35988530705846,63.15569191593175,63.425252095564176,60.38235151275558,61.48164550224442,59.2839924704917,57.548738721374114,59.42841687595169,59.08302932867295,58.875282907223394,60.33432773205011,57.761998281549786,59.57358991245232,55.66364133384987,53.121962693268166,48.79718196441002,47.58841108054714,43.8008188893074,46.75601409555575,44.22359005436375,44.1255940154707,48.35984559359379,47.12525939721699,50.73447897739027,48.55349895287193,52.43992916215329,47.726995203907244,49.14390593021622,48.41907432332673,43.915762894136584,44.010776072162216,39.589807389367856,41.775741058457896,38.417319468353426,40.45895386064055,40.698129194532086,41.54801419043639,44.64644195449377,46.63765907065472,49.47338174918886,47.257035408947104,44.170477466307005,41.16222584723583,39.913592245827935,37.85015733268065,35.44825516023173,38.23314899761406,36.12234546767754,40.32745948985315,42.41159274097209,47.16210460517223,46.26304842459252,50.03545104088216,52.1562425488919,52.61553417315191,49.87850532390863,46.24572373394895,44.35191976097145,43.506233445832116,43.0413749168253,45.268888753531705,46.35437956891736,50.784384107986064,50.29838034391957,47.97770993884945,51.66227147599383,49.45627007288724,46.452308141356895,44.96556808984389,43.982733802766084,40.15939358526695,40.17092408686169,37.83779651315291,40.719344567906425,37.186527508476765,39.768205790646135,42.61531577274139,42.55864996041651,43.73985249025201,45.79865005450475,46.1029914550518,47.592742825767964,50.46281190737821,49.421478600308774,53.879142249182266,54.49721955276106,52.125488198152375,54.46034530086513,56.377878533166374,53.38776799813331,50.22888083961338,50.034108049493895,48.60708696699628,51.913104622321704,52.47769889307754,53.16452371475721,53.23700395796138,51.67579815884826,56.361446096322794,57.02511990542063,57.45214980829201,56.55657860516075,52.18051804917994,56.56821335885113,59.27061190898764,57.190799829077065,60.73298658355173,60.04585095167609,64.57938925449048,63.401394597232915,64.23404760960972,63.18725356199661,60.91976752927681,59.141487431640456,56.19770476414848,55.375993179471315,54.282142216641276,49.481622640464714,49.23888669318994,45.42107296944123,44.25826892194027,44.42535612410241,42.779549150505915,40.25087735191443,39.376202598860296,39.87657240702011,36.261353837147816,33.86152928094554,35.29237667324651,35.39472624806619,30.28396485496771,29.68600102021528,30.34615045638295,27.882724623630008,24.89018574372709,26.162872673100946,28.280669192929317,30.483566140818983,33.71895341821309,35.14358692041798,36.2967111142364,41.515222544278664,42.26157578214834,46.59981741832214,48.56307597333061,48.531784908195576,51.699682603759975,50.74627896159593,55.16542248818357,53.060147811558096,48.63161568666853,52.57709285246774,55.41579599430322,51.420403609782255,50.68236793472122,54.737937093326906,53.601009942075166,49.21835992525948,50.84550088246261,46.48045335353779,49.65614478662755,51.379507308080704,48.702946629382204,50.70355739285217,51.161040662482975,49.80179547243103,46.74709378295315,45.733967441252226,45.922321833995056,42.92867077455684,40.53619914830066,40.255791876393516,37.98114609401554,35.41188284222247,37.972582353583334,36.56529923900196,32.06492184244681,33.275939418091205,36.27302904122373,36.97338727673515,41.067528595770376,42.55286600467885,45.86498065389874,42.32800547180452,39.045012256887404,44.09489534766379,43.87655572889512,40.48393845214511,42.0465340801812,46.854671194701744,43.78295196677063,40.54050629323074,44.82315949218529,47.54243156487641,44.06550609568307,41.5185615586062,37.334693236580776,39.51844064317118,35.28703936659884,33.959216589721976,30.4252836549157,31.73346444520072,28.375528592980913,27.804257860530594,31.250370562326474,34.21477706894582,36.216167758138,37.92565362721128,36.79276791681616,40.75914526959364,38.82236787039187,34.936550744936675,37.28087615699292,36.53997270039285,37.09773623012981,33.791266769253724,31.201062680554106,31.364303309908056,31.297815693194874,26.721715412599462,26.479086391413304,26.12431211339219,28.50539105206859,29.402765111569124,30.493452725889473],[17.395540725215795,20.329500973054042,24.719595384896785,25.286653569240983,30.7253233916565,27.25028021379088,30.996288160599228,32.58731422454038,31.53300945848448,35.232572300514605,36.36145885866545,37.38845725456547,40.23708120419002,38.78114457045524,42.86218952382662,44.69520276861483,45.00530839615767,49.379702011612274,52.283219141730385,54.90089245612074,58.25464255118056,61.650948696381576,62.91751662152735,62.35151837161092,59.641275684622684,55.53325428565838,53.49108028787902,49.43550719455583,49.458829348337005,48.070519368640994,50.07877952340223,48.79441685818381,51.07979740292637,55.48381758319188,54.29438118185147,53.7956910979183,52.41459263314471,54.466819796079314,54.545327707968745,60.13388199514816,58.42352630815474,58.77316250401091,63.113724937959525,63.1867122975759,65.62710562853782,65.62735615151661,69.69878685814255,67.8275542530953,64.29149033210423,69.30744518268685,70.87270264885899,70.81796878718049,71.91437175745254,67.37410051682254,67.61304588678058,72.15151056994445,71.26874941557536,66.80717239464502,69.88095602276574,73.81014398871508,69.1133665991206,69.08618199158605,66.31497050060989,67.85860852787424,66.14841931985175,62.63582079368261,59.501507298485855,55.75314272743142,53.224773658302325,49.9665753967118,49.47956449015975,50.86804228334577,52.625669183437246,56.89343656556268,55.65264537662911,61.37960977736142,61.245976922966186,63.00888754870336,62.636464583840876,64.4995767635708,61.9101302486855,62.06496446497351,58.63110844122446,59.66606560517684,57.760174874124914,56.15043731515028,58.41719080104894,57.781852010794815,58.12285909332054,59.45174583509972,57.25542947503697,59.32518262094797,55.354652860723924,52.54869940523593,48.22053611000459,47.21300459721376,43.43399124414703,45.702993955585846,42.855075229655654,42.14212865000869,46.559173417751225,44.692709594307246,48.64687167914271,46.00666433588614,49.84399284453907,45.07074431189037,46.08188089021541,45.49389464145668,40.971784448930514,41.03276035497044,36.90287576574047,39.643587808783835,36.641643195271264,39.15560164734544,39.90703123559194,41.074597010202936,44.3859391713124,46.86159683645146,49.8529883357565,47.34471910780394,44.48529096575296,41.242304185744906,40.06416681843207,37.56233286556466,34.681424071062295,37.11417607581916,34.148003202988,38.38362789795525,40.09945109529871,44.76278556574769,43.851504591193844,47.29430962244366,49.811449904803226,50.128600153640356,47.87555235543361,44.51236424936734,42.64834818646622,42.35336509681119,42.348015056535544,44.499296796994095,46.22276360980243,50.755694849521085,50.17127084497725,47.54451738223661,51.01079186902284,48.635534722017496,45.585970209027955,43.7546003879229,42.318231428356924,38.44479738732182,37.824279333741856,35.5812736816362,37.92373036599496,34.42563747810757,37.50136616440166,40.32084829011715,40.63584543396432,41.43256221247756,44.0067639581197,43.939744118132225,45.859242891822355,49.108128619530355,48.33699089523779,52.66256442628872,53.29981150504225,51.223678915758825,53.116557119293496,55.24205970505036,52.03508537044444,49.11431657546529,48.603563521144,47.35858786830919,50.378948841382524,50.751652752183396,51.40134918058664,51.17295858475439,49.92503759534939,54.27169675535895,55.186740270672324,55.305040583794785,54.68125385413293,49.927303268138324,54.279269539805725,57.07564267815376,55.281457456650564,59.12722521380847,58.765554522126074,63.2271176524421,62.43227691160475,62.87325310357904,61.73254341423285,59.22937290735178,57.324354909837076,54.218258740077545,53.125214215056694,51.8255234110759,47.10510873927985,46.43129626548193,42.47654653879813,41.154490637652415,40.853044146724514,39.0871638319362,36.9367677931094,35.942909451660235,35.93620861966505,32.48320403094756,30.59826287700018,31.441258871886166,31.03200563097354,26.407101081745463,25.772428534991196,25.888862757165576,23.482038504682972,20.99392065574406,21.879076990348914,24.41348623246142,25.953487829361688,30.08433803374315,31.171204333006912,31.88293571308664,37.12098459761655,37.53079134850191,42.053217944394376,43.84680821323216,44.01669909656434,47.17965233821755,46.40538525992191,50.88123735263627,48.782750024874126,44.65793308652131,48.644996806972365,51.5332969564615,47.73718386682096,47.170580017516116,51.343056187449044,50.31622082761464,46.033195035904036,47.949269161178975,43.25030313278558,46.30939063277464,47.72232177281503,44.70975708037426,46.62536574697453,46.73414030966017,45.664725882883324,42.75869788392806,41.27006316005377,41.50788681348847,38.86713463530573,36.25692768551377,35.63904572165415,33.454559873368744,30.981895055164344,33.14355244029233,31.588133526791466,27.271053071639184,28.36438983771304,31.158850725411387,32.09517082689762,36.21087509612466,37.96641669181273,41.21641650818205,37.59067356592786,34.69063896568492,39.82225273961865,39.56095834580965,36.3019782740331,38.24861909257854,42.882832570352846,39.93193540664353,37.05293220891944,41.437861899686446,44.006163148899994,40.7327127257932,38.454135861828256,34.48520409660443,36.90680755832566,32.99435011734938,31.009500564205624,27.76737399404128,28.589172209871695,25.335239609805807,25.49210847011008,28.960686596000517,32.034644907826426,34.00813761448344,35.10384218261017,34.172882234796354,37.98840764718562,36.42808636258614,31.902941484827387,33.973782278771594,32.804324380092304,33.771796852147084,30.804414044534237,27.57807723611195,27.842725394445722,28.60769919035524,23.74760953755504,22.915782936862232,22.76935093099735,25.37145369087929,26.072330781514914,26.848957172307504],[18.179369809771448,21.03695502282139,25.647009292691113,25.740065459304613,31.47684242015868,28.780840485525605,32.57776872162262,34.74198655707357,33.678610759481785,37.068512369927525,38.49546816444721,39.922435332624794,42.25242445341735,40.53108830455932,44.895437223706345,46.77196928773233,46.62938563253849,50.970840708387534,53.47870950366593,56.2437201682473,59.418321286712235,62.810292230114165,63.853629499334666,63.0220329399056,60.451983224085936,56.38786264871729,54.519014556652444,50.58346139919931,51.01222090624961,49.98219629379051,52.20635464938834,51.15966710273567,53.69887954265786,57.9641494344982,56.568790561934456,55.737915318051435,54.458020863854934,56.00814734593567,55.86106483560163,61.4535021076276,59.340832343898846,59.90923711901052,64.31949198633797,64.28435694859887,66.4644491800317,66.31725560851127,70.44684705416344,68.85592826849357,65.2706813167776,70.21788019051237,72.06563756523333,72.14788278060286,73.4018404449101,68.75549351006336,69.33108913497463,73.84856234098265,72.73290039303555,68.42298753548833,71.71942702766727,75.43736673892039,70.5942802845601,70.71487401781665,68.12285617636668,69.38531546432758,67.52971936267377,64.1832201312518,60.899811594430794,57.36948208981415,54.58586911836578,51.58436476890543,50.84074318540386,52.22651708801622,54.29456923522294,58.433116672101306,57.50810060437598,63.39237491923256,63.14729734815765,65.20116186707001,64.70502188473303,66.40209691809092,63.92428170122523,63.83800416957991,60.624287697986986,61.40651557983058,59.220913782827694,57.859552906694574,60.092271119002696,59.85127845524075,60.015058735840405,61.752064010055165,59.435624571688884,61.60759055655399,57.71716271289915,55.07828051542103,50.62767027788821,49.76390951865289,45.8318001443376,48.369645148387775,45.56680551757308,45.23476045434143,49.25807225842981,47.4209810508869,51.04803522600287,48.316123770337235,51.80138772127079,46.89232449015621,47.85753148319404,46.88623801012444,42.32402384558509,42.80988451127317,38.50630010469779,41.155413852358826,38.26363958489574,40.38012352411817,41.26336658612869,41.9995331793943,45.390951592434014,47.41184107894428,50.60895581461282,48.517372335403934,45.49217159164318,42.386773732992744,40.75186390496944,38.44099864497092,35.78692573552748,37.935899329943474,35.264971427999434,39.43132059108288,41.15343655086033,45.960198807896,44.53077772807924,48.160046850242765,50.49295680921023,51.25620012195083,48.57215957172306,45.25465864086511,42.893353113648395,42.6011308791977,42.49512714198599,44.976550441485685,46.382699038607065,50.917730160097605,50.68412775555287,48.21937878787259,51.91507704679166,49.866970870437356,46.740288468963506,45.305720761200696,44.0188858467138,40.3841914670574,40.02845788703835,38.18654239900768,40.869423475948004,37.77807497014215,40.70577154162721,43.252283460170766,43.20810486179475,43.877678433802544,46.21528121530001,45.856894359930266,47.269118659243965,50.59039121723954,49.27500860071602,53.75109687470569,53.9774938442775,51.4358779192673,53.42925428593166,55.21620190512464,51.9538689625829,49.070104514100336,48.85069517687773,47.83907621548587,51.231329416533505,51.94565244095993,52.899283558626486,53.006791909995876,51.89846829079263,56.396488184772686,56.91633430054294,57.05596055476647,55.97111130937699,51.40421753297042,55.4727353738358,58.064890489174715,56.16491067231195,60.084478355492614,59.76906544971257,64.05849959873234,62.8807054628317,63.400339979506015,62.11112844296003,59.766913605080326,57.669528543238464,54.58285946047276,53.52537788946799,52.101736072129704,47.34671157121472,46.874511847641536,42.85460309600494,42.024474100850966,41.71778475812784,40.4275321538825,38.091438414438606,36.63439184882932,37.024168668375886,33.828898058418424,31.144699824291273,32.148999559667374,32.53030187305646,27.653840890949265,26.539063956091073,27.033983401013472,25.18997033179968,21.936326240649002,22.465500959211194,24.5516899648274,26.50542799906074,29.562268792654415,31.28611889645113,32.30251129564876,37.40319681422277,38.09696010714783,42.441176638574824,44.685586657438265,44.884146911141166,48.248097857525096,47.650427680296026,51.88261417720727,49.479580283927696,45.316794737173,49.46170139804446,51.968319764480505,47.93713878908728,47.52635768001512,51.65124541750897,50.161315116441614,45.84087295074756,48.01819100080241,43.54419909552424,47.15743388997207,48.681688704774636,45.92161853882306,48.226677544657015,48.629347346114784,47.6958660752128,44.42098865286027,43.18971316206734,43.826518096732734,40.97265874650366,38.12725816573018,37.96817968646473,35.98840000887777,33.090840931016544,35.24668481652345,34.111168623457125,29.789694695372336,30.318358121401936,33.12205096656169,33.63550742221371,37.81002114807664,39.539908243480504,42.54711159010888,38.708165201563986,35.68753876417812,40.74841765502613,40.12244773897143,36.72072016332338,38.60608898447463,43.08937813624304,39.71115216029851,36.786099729177614,41.24728868195625,43.57014097180929,39.93702718820743,37.6186624795035,33.65787246587516,35.51333681150838,31.456185607623308,29.803541404554917,26.75218547504684,28.325606057939275,25.497344182513725,24.776226409017507,28.296194632240102,31.027416823095873,33.36167248772182,34.99587765263814,34.50356174760852,38.57785023641639,37.20484182830108,33.04815635666886,35.67578792600685,34.86837228828416,36.074224245800224,32.55900586825913,29.598894455540446,30.423181017010872,30.791421563901967,25.62964574402901,25.583649599307964,25.93207110189703,28.60172726623715,29.583941141740535,30.46581824289599],[17.039836370148148,19.878821674620664,24.53958125290294,24.802763945044664,30.495921917947683,28.53517402741666,32.47785281880927,34.94298261471629,34.22656759235119,37.562120882897084,39.3115424311332,40.8143918630731,42.76390117972644,41.1674201090771,45.710800421552904,47.43183006201453,47.004935452262224,51.414031720488204,53.772814155644475,56.434922299092186,59.59136752529591,62.84899783287495,63.87497157830024,62.87193821527023,60.26783828620592,56.32400280371581,54.398987818348154,50.561591047713016,51.22892030100226,50.32707319978119,52.97224870089872,51.80791833534197,54.59209140169598,58.81696053470704,57.162691310095994,56.17412450609461,54.74770555009264,56.03530163709484,55.66011743969786,61.096849427396144,58.88855550711343,59.76919531230287,64.16628749220087,63.92031933093965,65.94829605191839,65.59002137775714,69.76520102775083,68.37931914040165,64.64748218138335,69.45431134701613,71.52597211953649,71.59136388364958,73.0198893650182,68.43518065405065,69.15395929659402,73.71960511313335,72.56760132508317,68.40609969251332,71.84329823785623,75.46287055143927,70.65849154709775,71.02413702442696,68.58922797754332,69.81177747899156,67.73681316416796,64.45467616259981,61.3117334108477,57.90261741314225,55.15146114995926,52.35079081943459,51.56858749205685,53.14270619107553,55.242196882427216,59.218351897836776,58.31243311757478,64.28516018282163,63.75903562398138,65.94994421297162,65.2267032915716,66.706464858703,64.14364894952185,63.779946502240406,60.58528078494578,61.10753080155928,58.82853194030992,57.75540438244643,60.140698950880136,60.11119891235547,60.3972307636114,62.43673454226093,60.21833228795215,62.61998058412931,58.791770094478686,56.184222226969204,51.64207526838607,51.032202715837684,46.99090026500961,49.39355702122068,46.49096166789633,46.2223596296458,49.92245866059543,47.82300959596051,51.28008854367724,48.267877588269364,51.38563124734117,46.37029097983231,47.1096113697333,45.86626212333102,41.29987991077721,42.14053061548564,37.85936182842516,40.65337563330315,38.063084287286046,40.03643224232701,41.28581472695407,41.80194346375984,45.34111192955904,47.20055517654553,50.6455170770216,48.77573720227601,45.75359833322539,42.671161913614604,40.69356621802718,38.34242471058158,35.670598556898014,37.363601870113946,34.56773429485794,38.63183755445196,40.16433017871016,45.009278583642384,43.15020141712698,46.76579904211976,49.101350560827726,50.17250184403747,47.35941634262601,44.23422688363637,41.4948377414836,41.47158870434501,41.517024704803674,44.21759938238617,45.660837387988266,50.212365164401824,50.23105628076717,47.76556876889993,51.51893818009751,49.6849879870296,46.49404149605603,45.247615101935324,43.87989245410538,40.471921496768154,40.05523584004816,38.64505371188171,41.36738342434166,38.722965511868985,41.70642630434419,43.94676141026875,43.74361458964427,44.10448110514531,46.45159167140912,45.65503276498819,46.80905369819338,50.35323449807372,48.70725639422179,53.215937812833296,53.09707394946449,50.32544807707843,52.172611566625186,53.76646684816665,50.3757170920477,47.6590786719386,47.529444103793715,46.80813279823137,50.353398573777014,51.26555818062397,52.46074611319232,52.721283738958704,51.896468704709335,56.33941768554109,56.62161554151289,56.632146882662546,55.2780975354815,50.727461166586515,54.50885368924407,56.955444599925364,55.10645299037692,59.21184378009719,59.09565616269296,63.185397701618406,61.868926545759045,62.26155449477785,60.812840615341294,58.49263855466277,56.19594912574423,53.067834980683756,51.92553870300073,50.320732016737544,45.60085713748516,45.111991097860376,41.01381813773255,40.52934709370227,40.04180061429255,39.11641822236762,36.79490192293161,34.9213224679667,35.45140713677883,32.57203586984656,29.457915577260927,30.35975637877251,31.226693933208534,26.387414365275173,24.876713591016586,25.508953568736676,24.199825477159116,20.557640082347003,20.64929944757909,22.447840727447876,24.51145988986087,26.92547937024174,29.004960737688897,30.14121542014952,35.09629269308509,35.97567305437029,40.164155082173444,42.666272748277656,42.91269303972652,46.40525981618554,45.99254856425171,50.019575094256695,47.40068232563265,43.32003548185366,47.568866410092966,49.78027096738699,45.65900754407873,45.42458953267291,49.52287273100945,47.731377095824435,43.441708449135724,45.913785890002345,41.52107746694082,45.51047788762532,46.99895581825447,44.350905457937735,46.93474711215901,47.47752946869305,46.7568376064334,43.23870048515105,42.08741359331366,43.08497121464591,40.18487348583438,37.09062668377203,37.23515190217833,35.49111616896498,32.28246395924918,34.29889998807279,33.51696577161466,29.300838096406974,29.30169218039558,32.040937435727436,32.231205912692715,36.4058543411462,38.150846124924165,40.92095807953467,36.93820047046859,33.934168834290716,38.90736920084205,38.000479572404814,34.55385926508667,36.478607886028946,40.76523567855015,37.1345405940466,34.295643789872365,38.814112952433646,40.900563052620846,37.095908713570815,34.84145445383002,30.99083724176347,32.49808794041767,28.479614067025803,26.867802801049844,24.112137840972387,26.066368512329827,23.68876768746203,22.568128986729725,26.059111403585977,28.518296788101846,31.087793896393556,32.874366757510934,32.849015285152944,37.02370345466912,35.995918499642,31.93605222312547,34.88667961554314,34.23852460643304,35.80410120060073,31.999039651830103,29.059533443331997,30.40844350256642,30.77353332052095,25.342264435104333,25.731717184436686,26.626157201650212,29.41663348167956,30.592487541850506,31.448325139549684],[15.85828928455794,18.29668336377191,22.874092037000626,22.246099324774434,28.17788258332404,26.1905630143936,29.920045446020037,32.66129826902756,31.628983410573213,34.65492531770141,36.44910856180371,38.268531498292255,39.94446161282446,38.06172386551999,42.698166410596144,44.52520182961989,43.896130329627276,48.21007481731276,50.359321856789705,53.16850252777834,56.19755188874815,59.522372367938594,60.40712493282415,59.351661299774904,56.862176839489436,52.88486984562372,51.122399017156276,47.324947151256374,48.1371976884084,47.46106834350003,50.01080837570605,49.14827686993786,52.00737530384008,56.09046025067996,54.413256732179846,53.231422485175834,52.019376560110324,53.04532901229092,52.67182704657825,58.22851267075436,55.77544308621282,56.56370799778067,61.00608038758663,60.85410948495834,62.80709174157162,62.54180428896462,66.70385049604052,65.34475137624445,61.73328985416472,66.61869994614531,68.69059630977627,68.90657579988577,70.29172631142025,65.548701114283,66.44547715104446,70.92751217983829,69.60001352299828,65.45497853387748,68.95988063705859,72.46451433785349,67.52140140310124,67.8331198964218,65.4514870371336,66.48457863196614,64.43746852142826,61.25328081396194,57.9393868519304,54.634516674948095,51.71310882655259,49.01027476875599,48.08790690162263,49.6053358630184,51.86345438932854,55.79092258690395,55.08910822830298,61.11685695433633,60.636530000112046,62.983466032117434,62.29167874003147,63.768254160010926,61.39194080091299,61.04115608778067,58.076169682170345,58.60411466844596,56.14915872896752,55.03097079396364,57.22976951848477,57.39985757658395,57.42377258407032,59.62219212351211,57.24977269903707,59.620128312918204,55.85111239010927,53.38799589648224,48.807334457947626,48.223012063716745,44.12547548850071,46.8159221793632,44.04892470828027,44.19558023052935,47.63510823798217,45.86633365489528,49.04055191335289,46.28324140609774,49.39375896910071,44.41643127799093,45.46708604321622,44.15002775757766,39.60522712992649,40.43035872737987,35.93707819859369,38.34396168744013,35.55077089476964,37.23633390596519,38.257409984595775,38.594061125023536,42.056136336296326,43.70366254124929,47.11319682932993,45.39376790121419,42.28366348997566,39.2972466807745,37.23399369653702,35.060939193624534,32.61303184602974,34.45938248358371,32.16742454725971,36.21235140051936,38.007899142204764,42.903067935567265,41.14235672733407,44.98870885078577,47.04062909785842,48.13909888192207,45.034966559173256,41.71346761091525,39.04492910591833,38.6553334174273,38.45051594912506,41.1550473368324,42.31355264137314,46.817673670328446,46.86985981751623,44.534291928153785,48.38616914576838,46.64691372408809,43.472226900149394,42.425456890954024,41.30523278312042,37.965891356885365,37.944297763117035,36.58409345721637,39.710897759924954,37.235450801708005,39.87857134646966,41.998589142324015,41.48698505478591,42.01005485874514,44.02476101951132,43.38514062094941,44.25154039100991,47.58997554053158,45.78569202462841,50.36482768143574,50.257128586110845,47.370972584871545,49.47251723903333,51.01228426325133,47.77746675504725,44.88347104362683,44.89493078744453,44.01414049809188,47.69508117196825,48.7028660576508,49.919797725921256,50.377161682622045,49.39354038302974,54.042426315411106,54.1348375292182,54.33190186933711,52.80481086613053,48.49477007406387,52.320909937684775,54.72587416708389,52.68966913013163,56.592956244444046,56.281062099493845,60.42610118526943,58.93420809598395,59.54952067070147,58.18947416938454,55.99510545229744,53.82191393399917,50.80594632872306,49.86693283215895,48.47506485009742,43.696004873826965,43.52732875840184,39.587810756751026,39.08583264153389,39.08556135336599,38.13523492362823,35.47552156550653,33.88168493620765,34.84315000819304,31.689559231907012,28.294313782056534,29.82684092865884,31.014774658203496,25.66708859628109,24.42034958837114,25.631289631699516,23.999355150526295,20.023118877999458,20.917013946605902,22.34993549588611,25.23867151839636,27.046390991369403,29.060750638279707,30.694450239964464,35.717616227485514,37.06655498783662,40.9503608523232,43.35504373642355,43.219435531064455,46.59109732959303,45.823038743885824,49.884710879913285,47.442197887671206,42.94512431949952,47.059111761287774,49.42015229112394,45.179490681138844,44.63478359030072,48.62104829176819,46.97850923067717,42.59290244920409,44.58418422439679,40.436422666117956,44.31683533079334,46.09916463184356,43.749251369602355,46.31045590920986,47.20259934758685,46.11134993982967,42.49774432156758,41.85830357171378,42.727562672125536,39.45371425084435,36.64895511778264,37.13482698251067,35.26454850397642,31.98757382837355,34.54331286290803,33.90872664437629,29.436984787658318,29.74347165559781,32.83033202406995,32.791642019755905,36.88160309944196,38.20429662510948,41.174832993285385,37.48298216728874,33.93623545029221,38.813920623844474,38.21563058132322,34.67413710141347,36.06531899097059,40.69828739147469,37.26442719813659,33.90885230526744,38.213331820800086,40.717685935643495,36.962199069342915,34.347759378235125,30.19432944096192,31.932590147565385,27.620436610793647,26.611474188053236,23.220452172031056,25.219449181207345,22.46121286553982,21.00993293093322,24.460403601630183,27.04100084463041,29.417136038285083,31.553780293048632,31.110377459451694,35.34888854365283,33.944130960641445,30.34644413626287,33.46599927924121,33.187133757978245,34.40030484194755,30.31418927620166,27.918702356549673,29.20409949037453,28.909739848156672,23.688405470662588,24.61768251481941,25.479458663509842,28.09082643529215,29.5084638631611,30.61712093573973],[15.364680827169245,17.423427790257247,21.845889918312547,21.087670341762614,26.911151141871997,26.02422331065767,29.782675973335788,32.979640360538035,32.30794528327211,35.09329453179849,37.29275685924837,39.29136630433907,40.36109771628036,38.55852200137735,43.40032849044489,45.04935599895749,43.97879490416685,48.30299136021443,50.15315328355295,52.8665151710805,55.799165518283004,58.95347052012392,59.751618688806026,58.444239323459335,55.97517953584667,52.16963800652256,50.41289569596979,46.79311419275184,47.97763207485846,47.563542802938464,50.59779139102423,49.70341987169745,52.87450830120532,56.827296571389255,54.82580984606782,53.37783808624377,52.065470872387635,52.63793067483379,51.96022678834902,57.323683123783276,54.65216366380792,55.82222171998767,60.243951309737376,59.84448798867722,61.550912417469995,61.032670028702206,65.24302624823184,64.18170344900136,60.429758839453896,65.13883709642255,67.51161493694671,67.76416610058767,69.3611703082599,64.66081294141954,65.81591282904428,70.30672947440182,68.86690287949862,64.94331719861655,68.64590488318855,71.96097320200289,67.03101802546824,67.64184217842848,65.49437440452766,66.39416359965892,64.081972564939,61.035661008549305,57.853408147417824,54.76977974979645,51.84204090143376,49.46243467285203,48.44183179326456,50.16375078890606,52.50810448371629,56.1787184008645,55.588397384611966,61.71171710120168,60.89425132473901,63.46259333007265,62.4968831867194,63.68431480513947,61.27959796225805,60.573237280816336,57.73751969547772,57.92007611624788,55.28185756330044,54.54011823270263,56.85639515640483,57.37875872610987,57.461256379857495,60.094101704030315,57.803695552066195,60.43530654400829,56.78903504385383,54.43430687374621,49.76393068900547,49.506819236267226,45.29482990645053,47.89200440123967,45.075784534121816,45.435224715395634,48.35410234124577,46.38237002115133,49.21204543604511,46.20446609485794,48.801250218802984,43.73345385092576,44.58607860719861,42.879819876537866,38.380224956012626,39.68165690080755,35.18947909550933,37.614685061163435,35.19418315879579,36.54377338909117,37.964797114486174,37.9185306153178,41.512274678484296,42.827509020018546,46.53546301307518,45.19522878882153,42.081804165020365,39.20414485952569,36.65894127688519,34.53831012605711,32.20000279017651,33.43411114392136,31.210598132069972,35.046264803678355,36.66298807356841,41.58524239074084,39.261286478727676,43.157578846593715,45.081107008114806,46.621557083796,43.233807440202554,40.12839139805823,36.95250358962607,36.79686856111655,36.70225248641099,39.71534332363706,40.80230240922086,45.264835522705795,45.688706664125604,43.430028306331494,47.37546796224101,45.984284393938275,42.75510206733896,42.05662569397497,40.93503897972555,37.96671900539412,38.010226514475,37.247481398212386,40.51664455280919,38.67400844346361,41.24527216560686,42.92657086053122,42.115962187078225,42.29283752687238,44.17935040909825,43.024399465507855,43.41993546105527,46.9560047022316,44.64453731950845,49.26740878637627,48.68207221469779,45.43227509760742,47.42523113430219,48.65593904601062,45.31142043392237,42.59539409490621,42.802481755708236,42.28057131054036,46.21484507425857,47.53242761857225,49.08177564331074,49.818484938741534,49.160366757144224,53.779529623161395,53.48467763316417,53.578874807901954,51.626664393634634,47.460579908584116,50.883770455415906,53.05742798063677,51.02621257523485,55.08694549771439,54.974158490672885,58.84679802414334,57.093136314999896,57.61691686163909,56.064119904696625,53.98309404983923,51.579224585066434,48.563677145600714,47.59309316673954,46.03538162046066,41.30347565301481,41.255479715240654,37.29544798432489,37.29743033025816,37.23856585638158,36.803509644778885,34.05939348781601,31.99848140260842,33.32867779660533,30.55701296573824,26.471983579553754,28.103002200496473,30.086232244356065,24.70652011892882,23.030857395928905,24.645171643160396,23.67019005387314,19.158652178010747,19.731562535876513,20.511503877791085,23.858038359053356,24.39303081391016,26.88421117050086,28.878821787881574,33.64876958781341,35.41254929746512,38.920417554607155,41.639666497226905,41.42353735808421,44.89842519986064,44.254890998734304,48.02395033560697,45.36226428278316,40.84306780086275,45.02526702148705,47.01994816568654,42.61690019623328,42.199985582214126,46.08672769091857,44.06822170562754,39.70261915904873,41.913144450911915,38.01653609980938,42.3703031311574,44.21164085482095,42.15318964712487,45.06840447497896,46.26853651671228,45.33691736328811,41.39327643134348,41.05378122955776,42.341140411310796,38.91117108578094,35.91197995454899,36.91037928248514,35.32687930932318,31.677701785776364,34.194536250633945,34.07096509839627,29.733024403629926,29.458372312222753,32.52429492378118,31.984138202587825,35.98201770856172,37.15675775960387,39.849326400006696,36.109893916680804,32.42168899730197,37.08294795588594,36.21687206620045,32.61138955992253,33.81804190848913,38.27074568632494,34.582528037190485,31.15686914875473,35.41192258917284,37.7346815939077,33.76394868917213,31.098937770003214,27.007099550273594,28.296875400914168,23.92556543131193,23.298229799285693,20.086246717495825,22.71150162316973,20.54613460342306,18.284460948760394,21.612973721843513,23.774958386751347,26.431929522352974,28.968972775093377,29.04567253242414,33.40924198940215,32.36413009516909,29.15971198386134,32.74975869498267,32.829418784621375,34.37991083040524,29.869527348451253,27.759123381440112,29.68749291939292,29.167465570249462,23.793226378293443,25.46343103998191,26.95496983744896,29.57244220413365,31.24511084758977,32.36226873857535],[14.654674011687229,16.10865602238418,20.2104119371529,18.82503356198622,24.606442179547468,24.30040878867279,27.886477470077406,31.423318883417902,30.801975200627336,33.27249830121124,35.69816763676439,37.91534769725808,38.51204021146887,36.65381254545329,41.60898744344294,43.18615643523035,41.79826852266813,46.066697396133094,47.67690787204029,50.377031006497276,53.20773408494104,56.289051315170745,56.998620011190766,55.5587345620305,53.13684193775744,49.41514341825942,47.72282788659675,44.222807998911364,45.65057754415582,45.47185553576566,48.71366408617802,47.93191631523025,51.28921795989407,55.089955630019944,52.9115327827252,51.24620871401833,49.98055433383268,50.20457728333208,49.379165060670054,54.68497838307794,51.81448933238198,53.12495692860272,57.54133571543059,57.065112331305315,58.6249336659725,58.03678639270836,62.25370625092476,61.33622991867639,57.58286916951315,62.24123264214288,64.73930523145746,65.07977291305322,66.74581043696767,62.00685635722163,63.35854810037999,67.804084337454,66.2378520616444,62.43649574653588,66.25520788534483,69.42219437848183,64.45399894537478,65.1933067906817,63.19120924784332,63.954406569475594,61.5205723705735,58.586173154598676,55.425634517513934,52.50508370722446,49.5355213830936,47.378506504691174,46.27062604887665,48.096475514729384,50.51259038923488,54.006407368429024,53.537633682128266,59.710809302825766,58.723620288036585,61.46104520871483,60.36396622816865,61.39668385806348,59.065124018118574,58.191632511473976,55.53746301910924,55.557395538658874,52.755347205174694,52.175643952739726,54.457044826419704,55.24311469012698,55.24247503272036,58.16152578622896,55.86397996100443,58.62107781464765,55.08217327398568,52.85575087674167,48.14342376474015,48.09056411513646,43.8172237022475,46.45731299496453,43.69430931938754,44.365120819331814,46.85254073133931,44.95586221168828,47.44257756691036,44.46482044516604,46.7938010939276,41.73682206814741,42.670513296359516,40.75725832057419,36.328289613975286,37.82953056508821,33.25964739182894,35.44874307528389,33.13252534222523,34.15019995818264,35.66059085190677,35.33767776352236,38.94590169273293,40.01338803166477,43.84608034244683,42.7572577213898,39.63302247630373,36.86496623628404,34.04728510439235,32.036180751851106,29.875272861078066,30.84813756721861,28.951253660228915,32.62990614168496,34.29656814139968,39.22223559718722,36.72289578111485,40.75394160227638,42.44376891592566,44.18092132112438,40.5225052125499,37.42237980385493,34.07998686558349,33.83188099895993,33.66744691489496,36.805672579379056,37.74051777939179,42.156232149964374,42.75845800355544,40.59268313157266,44.607251682747325,43.43250720014162,40.20053632496269,39.774228904879934,38.78045022054977,36.064977336799004,36.34834851436844,35.93401420123082,39.45575300035305,38.0640599041562,40.385865198552295,41.750912076259866,40.63187283805826,40.708901203946354,42.34251965267293,41.01602949522411,41.02740496460889,44.53817956383958,41.91873491773231,46.57519973438303,45.78082438274228,42.33019692767694,44.39624239672407,45.47550349976461,42.17440969113905,39.44424336171767,39.80199345450964,39.355826284295084,43.453807782030374,44.95491329810409,46.663487501082365,47.630663411560256,47.055426940004615,51.737641972622555,51.162465857727554,51.302909163854565,49.07371226926141,45.12063342724039,48.37077531956224,50.4138899796663,48.291207674049204,52.302108135067826,52.18312190452178,55.953750499246446,54.01597511228779,54.603256363710194,53.01963739508301,51.05436806407351,48.628669825445144,45.68424483713357,44.82030342334295,43.332216805348686,38.60288352178509,38.80316046789024,34.96706918888012,35.16488357094959,35.401666921040714,35.17106461252643,32.204490402000424,30.156252197968982,31.913978651727984,29.16847898269134,24.668434902020365,26.748425068044494,29.245795038875425,23.64057023741032,22.010108587198115,24.150515444456172,23.272727728657955,18.482595516170786,19.452708502327837,19.66301497502654,23.669208571267685,23.276356410761124,25.811969287206114,28.263085846608455,32.9030670594691,35.15886650731201,38.24034374595486,40.953140987633375,40.43622835722369,43.83114829673534,42.99282776419782,46.644093484914066,44.05084607439208,39.26913707782185,43.347401833949306,45.300016391214925,40.79203514225094,40.20643968564664,43.95249192811049,41.92178634999846,37.529850995712415,39.47118358543306,35.860808456939736,40.28981427548965,42.33407773245131,40.60553620022467,43.62578251856681,45.171459176731254,44.07672340607035,39.964919264529954,40.091734485330306,41.462294236439526,37.760926267295865,34.90074415525312,36.33042768033838,34.81722861086561,31.019931518585942,33.82889580859606,34.02176239036178,29.662982023686023,29.34364286267089,32.57114715153677,31.685265439435273,35.5203337713638,36.3291219513482,39.0167068126394,35.51351127870039,31.445842954340925,35.88655279871416,35.15506840342975,31.511745789568366,32.24401229761519,36.829037838282346,33.25371456669485,29.463225261814195,33.487539008181486,36.03673871416542,32.09376940291303,29.171178527208017,24.92790991789584,26.253793262200727,21.70537878576075,21.70253557209356,18.116357120925873,20.940111865143198,18.8168554564219,16.002504047945582,19.154378066120994,21.19972227025748,23.781317263697485,26.68879486153872,26.696682623013018,31.103047051859832,29.994931962725275,27.310689653726936,31.17085310727707,31.647915385370254,33.12234087298182,28.307939038605664,26.71654991719655,28.881050716290158,27.873673463615578,22.67931706379898,25.000851447769943,26.760198097303565,29.221960241397323,31.13328195170235,32.38643263297013],[16.614061010882235,17.615410307318086,21.33600157085644,19.465279218972025,25.051365467334133,25.407659765257407,28.77610866348235,32.603629356119946,31.994620202113868,34.112150019935854,36.70062042613349,39.14376953085818,39.30225107386743,37.321499174721595,42.35770865948318,43.905578928861694,42.18525223999439,46.338556740103655,47.61284224950052,50.354140236658175,53.008804729190636,56.02631579640667,56.566958241682094,54.938182649771306,52.64335777208846,49.025147261732606,47.48334193745638,44.15391175517482,45.87805309055656,45.9877841557124,49.36232637885066,48.76325702733652,52.26793793680309,55.897789347427846,53.57745414021874,51.67679192950441,50.50738448852524,50.32342372282351,49.33076724934672,54.55700007300937,51.40762514632824,52.87584961852549,57.28267166535067,56.72665918048188,58.066401784123634,57.37898067001766,61.59463325950076,60.89632230920217,57.15660774708488,61.72084523076296,64.40050167384335,64.85432208017924,66.61482350848623,61.83124497334263,63.43396962532004,67.81269188151023,66.07913658339942,62.435393300454706,66.38634615277043,69.3593843142654,64.33005880148924,65.18853928858458,63.355042072193505,63.90586827448199,61.36708490994337,58.5969005170276,55.393901748448116,52.68859340159301,49.602078617029974,47.700039815525955,46.43862565657969,48.27918536301818,50.85212031176706,54.166055961437564,53.91650999217766,60.12579968402763,59.027684198346925,61.9568496656488,60.75940620882823,61.63987485686068,59.42456916628819,58.37334631596755,55.94031024194852,55.76970185659902,52.779907914307735,52.39783683206348,54.61091222949687,55.70067619535129,55.5657709566985,58.77437588913353,56.4309165482169,59.25684031182341,55.83522487720261,53.76650452960218,49.0380712718108,49.12726569235221,44.82325665167132,47.574727754836225,44.900674541470245,45.858979971400046,47.97408511706828,46.16742853798349,48.32513095368651,45.37716452752961,47.39975215043785,42.366866660953455,43.31322319998967,41.155716019018094,36.83197664572435,38.589028018473506,34.00604347709554,35.97059793423723,33.80224475374376,34.43278223036391,35.99678292645462,35.32513622117257,38.897183084284876,39.569625851995426,43.509054146216776,42.776135806042426,39.614386574260884,37.02958389687356,33.9112643107105,32.120447988616064,30.241155365752373,30.920540892157263,29.42261361433689,32.873835971391465,34.53477882264545,39.42402232860571,36.62613861688236,40.75095226131683,42.189259872014084,44.226262445730846,40.26114419156031,37.2397036532229,33.614825676895215,33.31000893189773,33.04674803774057,36.368020928244455,37.00937553355928,41.32204580408647,42.20208338815527,40.21371870605124,44.3206670562439,43.439598012767284,40.22558783338454,40.13862941848752,39.30767385713443,36.873567875982616,37.39001911466112,37.290016523720944,40.997503730208365,39.94438866786161,42.067961449359366,43.186887086343624,41.80473389502113,41.79880646271843,43.17812567206113,41.68131229049437,41.26495111901651,44.72784182065738,41.72522024395125,46.40605525577568,45.307481808313945,41.54675149662202,43.68614170440262,44.47929761562726,41.22230794544785,38.542477477032826,39.146191029220155,38.87046234245417,43.185934637033,44.93234177111117,46.84129212716263,48.0691419021721,47.593812743255604,52.32521474521325,51.43876323158929,51.61891231974284,49.057403563622486,45.3633176570262,48.348866234782115,50.19851659822201,47.994482476868896,51.96149007561001,51.85501855533078,55.45091693985248,53.230984638137905,53.895100614323,52.235002127064156,50.44095706502928,47.93463280984583,45.07871126623819,44.30799482845189,42.81663873380158,38.14557423337285,38.59351220883766,34.87173279352638,35.42394505825771,35.80960542421388,35.91272096312066,32.82190226449085,30.614957132435187,32.73035317451184,30.197065000508474,25.28041277834551,27.58202721657942,30.593029231077967,24.994761114524792,23.250956727320954,25.68983008214142,25.1151474755689,20.176307866241203,21.099212393317366,20.8199830473037,25.1044064455077,23.72416966366386,26.522191258005645,29.258637261145417,33.63609650643867,36.19697145937218,38.93039204675704,41.81267237443929,41.17193340709579,44.56596532668083,43.726433943786695,47.15458622740757,44.48592982756475,39.631641376543435,43.66492610948195,45.3788010642164,40.76315490661698,40.177879009986434,43.763262094590615,41.51036962222555,37.155601845205844,39.05627915833816,35.79569536476124,40.461993561636795,42.632881715260254,41.2218946039339,44.42017761792472,46.23512205071275,45.1353313087782,40.852324313626134,41.307297638313976,42.85282563373972,39.00596134838472,36.17496876859263,37.94609939033457,36.56633263110868,32.638104552199835,35.502531374474415,35.97290940832051,31.700171074864787,31.176093401103437,34.39085046706852,33.21766593571561,36.91693009625414,37.533225108101284,40.061729194849406,36.64397122444381,32.44417133903016,36.63584333556702,35.812681677127856,32.17194765797515,32.61099151621451,37.07926246110128,33.41690449786597,29.50772154215556,33.33967027842363,35.82008908715364,31.771749338127805,28.75548706431657,24.570363585403936,25.492010056869937,20.898700229473032,21.524555063685877,18.059703582946227,21.30991503194607,19.60146446077251,16.1433320918743,18.967975003655567,20.577763965273974,23.242515256160036,26.589590780495243,26.81320622878412,31.230250093868356,30.216284550413267,28.085011566172376,32.1970798993391,32.99768718348843,34.483198305533634,29.449788462165532,28.264810934368317,30.652930187991696,29.31058492830881,24.302012526422242,27.058509949947823,28.985043924607623,31.327880766519606,33.35713105727506,34.668290264794],[18.546774864892207,19.080764690866292,22.269672105096745,20.215680387167414,25.317282931634065,26.637130215388858,29.80458860782468,33.89517675622619,33.52744026984456,35.3239515815039,38.15562616750688,40.72753197037452,40.36337293236897,38.43878305236637,43.532805135630795,44.92929628050978,42.8406583484337,46.89434704649439,47.83763369295893,50.488476959165226,52.986594754127694,55.832919310418404,56.25212552011685,54.39929845379372,52.18399612159977,48.76559604585004,47.2978160205764,44.20189525329749,46.25507128412316,46.63578106819683,50.32358098449899,49.77108212965058,53.47877816251989,56.93068136866625,54.378954892197456,52.247610434084024,51.05969924473398,50.43461198954629,49.18785571091169,54.19470007511371,50.825253550372466,52.59965297404156,56.94333889526349,56.19174552579714,57.26615690980257,56.370140494991006,60.582209884114235,60.17928737981529,56.38190019078518,60.74955487772355,63.68548826524702,64.20357214500727,66.1307520544059,61.397835713975866,63.25211129786762,67.58056071311698,65.72298446102428,62.31090523559729,66.41012105919434,69.1685534398926,64.16245345679705,65.25804441889024,63.65204724584059,64.04104345360973,61.3067124993891,58.71029023388093,55.61656378937209,53.16064979719716,50.07309962839409,48.49373617319373,47.13876403074505,49.09655657841509,51.73874832410384,54.78530125839515,54.679689490882986,60.90030498000562,59.55285831733767,62.664191415625105,61.26379448563371,61.89296978084594,59.71905069467161,58.37960945510668,56.13633016901519,55.67054638789744,52.519594350626555,52.46564547101378,54.70762680440767,56.12590119308393,55.98420938914015,59.54356848371146,57.26228430599797,60.253734584185665,56.98280605239424,55.05343187045705,50.31890937919681,50.65786151359507,46.332734588838846,49.01930994942832,46.38092875692121,47.547895513880825,49.19341227472498,47.31966400588515,49.11494675469584,46.0640564425804,47.61583209145083,42.611692513963106,43.4259544508355,40.95320743159477,36.78891001572167,38.920543592574084,34.43442183736811,36.26727010052942,34.45098445283524,34.69604672906928,36.510486839982356,35.468555977703495,39.04001115327318,39.326112321382716,43.44638721933895,43.108854861046446,39.993762204806856,37.599905036389615,34.12125244898119,32.49375608298568,30.849280630411105,30.97234096944711,29.734503584341486,32.84404276596458,34.34308502189326,39.13150633365057,35.881475840833524,40.011177407960254,41.2223420970537,43.65635869587,39.42540348389955,36.641075354794324,32.613766707052676,32.45724616197799,32.24161959804255,35.78288371253543,36.23983689911725,40.40779808068707,41.65024176445623,39.814890354043484,43.95395267958993,43.43531388376072,40.24767477550015,40.521989210840836,39.766614831819254,37.72753594944485,38.359562072912475,38.73684469203301,42.52156024516945,41.96753733847732,43.949473233927165,44.71023611553384,43.08043824284378,42.83324331664253,44.01659398012161,42.155505290216475,41.27235406514425,44.789837611535624,41.34389650607846,45.99397628369035,44.4595260103556,40.36612365652926,42.42944129800357,42.869281214191005,39.59475890135532,37.10377177934633,37.9491680645626,38.00637063880944,42.51892689981214,44.550232914003125,46.733265592769364,48.22968860475296,48.008377181153584,52.67986123359526,51.43485686986684,51.561370283310026,48.618590770603575,45.174826391999574,47.746038051121474,49.338929116522074,47.126838028419954,51.13730476005288,51.17146788285924,54.47748625517031,51.98488973846683,52.61167936670051,50.80351018288975,49.17392087909238,46.50178469574435,43.71944052713131,42.981880485205444,41.400398424077586,36.85797052991197,37.50730117126084,33.90408470023824,34.944284042840216,35.37060102830933,35.9474475889058,32.814227818819774,30.308145683639655,32.78123156896698,30.642510146377685,25.278572551306922,27.68559880584911,31.31449061335021,25.898824108749462,23.953275416937288,26.667556620187693,26.59154281955848,21.568742313618813,22.277782354135102,21.390676754453807,25.879981318815307,23.27250379321394,26.36816007830277,29.39454863589866,33.36846925814569,36.295964674662734,38.560418329736244,41.636498824759954,40.876773709478506,44.27067106222945,43.4983771676452,46.59895831633778,43.81176361328815,38.963125857592026,42.94458906116149,44.30145322237852,39.592437136644484,39.08054591896128,42.46670891900822,39.89966771177587,35.638080265936715,37.60808708321543,34.753445787953474,39.75010319503165,41.99307298121523,40.94375280286757,44.385981689987425,46.49007245408995,45.48616420544135,40.99802734696146,41.78515617499792,43.617052228132266,39.67746790912901,36.81472077095714,38.99563741374652,37.85586310865696,33.76180753583519,36.57385503089845,37.42979310310221,33.360197865184006,32.471770817121836,35.596985602198295,34.04773638725516,37.53944391402008,37.95039265200791,40.204193257520096,36.88724458690108,32.619294135879045,36.45292574041433,35.46304420869668,31.87193739201449,32.00452003170951,36.22182157241386,32.45610639224792,28.50310816518871,32.08579066567467,34.39088929502957,30.243723510422978,27.185424588512696,23.18486962683776,23.54496957541737,19.021495626436412,20.360004033345632,17.238481916934095,20.957156051623738,19.951497201791394,15.848920691256554,18.153308193986092,19.09650277466285,21.889960884558413,25.65259490904964,26.321373867511593,30.687617485804324,29.98134183185091,28.436554569897133,32.81949988871043,33.953305050588476,35.597972248923845,30.367439729149524,29.56259871133593,32.31605742728584,30.75951997436372,25.936591210088697,29.138067089399136,31.378665194583515,33.613501339259216,35.761509248330796,37.0729025995038],[16.188283031151062,15.93441060025743,18.481035198524733,15.888461598439228,20.718413478291588,22.521705443445484,25.473724604878,29.723680041283128,29.548060199827248,31.150447952900734,34.17555599188533,36.7605555247979,36.043910290944446,34.30013848908007,39.40400241746281,40.62420917095863,38.39047830532735,42.461998780038904,43.41659791744714,45.90255827973792,48.457394579606834,51.1954757285087,51.71785421922439,49.88463596595491,47.55224882134497,44.19795463259541,42.6059786791357,39.54496453186002,41.65245768632735,42.07497144952822,46.01436782728868,45.37070787397002,49.20514141742921,52.573967737195105,49.87520899664121,47.682490690208766,46.41234651151162,45.68289700296597,44.360906801001185,49.29944534163001,45.98154684542123,47.849926192624956,52.16124488109877,51.342317276331,52.44601474710284,51.5322711983905,55.75484820713471,55.31784673187488,51.48577367313944,55.860579417805205,58.77646410454956,59.27840552333036,61.2115496651116,56.50645889748453,58.36380452417089,62.69700457784585,60.86455052797462,57.49042743306411,61.60811452234016,64.35710516034648,59.41420240221712,60.61731903524767,59.07145114095238,59.53678535402822,56.693804970203786,54.085213411510146,51.17882612705398,48.75254474820553,45.83169048056358,44.3615063298067,43.10273420140438,45.27426547159752,47.75641981767922,50.657988853425316,50.43237278500722,56.63814325025209,55.07851595264237,58.209488965408305,56.67197140075516,57.18751830996982,54.96989554081774,53.535021347635706,51.32534545687868,50.78812696781374,47.612394208729526,47.63350894015284,49.92754425945645,51.41790256652805,51.36024991956699,55.0488454183765,52.881058154650276,56.02966848773738,52.83431722359778,50.93276128010752,46.199404644741584,46.76757251519172,42.438005548398976,44.93355759924274,42.29333406441662,43.60338957038793,44.88454338589074,43.003679490639584,44.55777256926384,41.52017983154269,42.91094411715649,37.95525080757199,38.874448685264326,36.345010840044736,32.25255399420029,34.42425366416673,29.91994325168846,31.559951573202987,29.86765914980936,29.94658145406441,31.92861535065756,30.80838248621882,34.440387202684654,34.794808450179204,39.024705336520896,38.69041530858366,35.68198927612085,33.281712684963274,29.688111212510794,27.971811485840224,26.327041070297046,26.16701792187286,25.06384942439166,28.03814575631038,29.580925462379636,34.344882259695346,31.156160969463983,35.38337303035936,36.46438433477886,38.86620210863736,34.555706793921246,31.7241019482842,27.743280088931602,27.528393993225325,27.363741084379896,30.907303707605077,31.531097913192124,35.728090429425855,36.94675843951154,35.03625282773638,39.1319631844651,38.65612059822709,35.467067929451964,35.81968897949937,35.07276020612961,33.23488307228857,33.974581628145366,34.6594488813909,38.55364529108718,38.44585512979341,40.21158179855183,40.657512841666765,38.83282990223884,38.45341556062578,39.49271885984956,37.4857109131742,36.42487974682161,39.96108081986475,36.44515016350959,41.08196950832665,39.53540943433479,35.49698166627784,37.55405659535398,38.10520616018835,34.84483532266331,32.2747722346837,33.06401995736174,33.07138080029029,37.579120353743235,39.629831142107854,41.853015740452285,43.42751725462445,43.278915016727396,47.93163477895285,46.57372325082317,46.70909383900964,43.6981373515875,40.33319820450458,42.88611537035768,44.479227636723955,42.223059615891174,46.20449878846609,46.24324016685982,49.565236179941216,47.144231097694934,47.751354713564915,45.987433946266314,44.33061502244919,41.72500759632911,38.95827181431623,38.29872316492772,36.873467565359796,32.2807117529885,33.09359896644096,29.64098560652941,30.584655278651272,31.41907161496188,31.94738536128053,28.606466309020174,26.407964050228305,29.2172943219586,26.930606153250427,21.470962163206163,24.426020719721578,28.255572652472235,22.677746481882096,21.08851919450099,24.274218896651288,24.01974908005963,19.07849733265216,20.500439593969507,19.20593441198181,24.272117992211953,21.35606274795218,23.962218488554285,27.37811174486872,31.33447629893375,34.67129338057837,36.5682622613718,39.30875598015684,38.12413840234526,41.282335106888766,40.11759301304858,43.27102749028015,40.78840861964792,35.573731487327315,39.33339653504765,40.96116216061351,36.261695349829196,35.378328395658905,38.672536921703504,36.47536572638756,32.141406459283836,33.53224012209573,30.81483615887829,35.54272822651907,37.99620250060047,37.18759997416349,40.52779192414376,42.90505439485463,41.60543149484467,37.101248863351564,38.34470249765745,40.06186681568052,35.88248814436667,33.32451560733582,35.825147644935775,34.681032590639944,30.611720501165234,33.80320823920203,34.85614203812804,30.790156175387757,30.115590231514286,33.441169395994415,31.687689742755403,34.940583161583795,34.88736932354114,37.31111707901782,34.433961063412156,29.717308350503945,33.33945881680471,32.806170428666,29.242140717148036,28.77805775317229,33.36567733535612,30.09156104326188,25.62091029710733,28.87004938188621,31.76484839439281,27.968219754126213,24.546138065500177,20.22361485336029,21.349864937912518,16.657653142731668,18.51006779996186,14.525848785511254,17.807876218955563,16.484486686846402,12.240989398033724,14.24198573753489,15.433502667680505,17.786661904112496,21.696702235235485,21.904392240129333,26.22775955309031,25.30915636435758,24.209012573729535,28.67460397887053,30.14549825074724,31.60017418181911,26.24178471966326,25.985349904944563,28.82035540669916,26.85558545656644,22.419810960075065,26.11543122017702,28.548104844038303,30.54961776141962,32.87774353943092,34.28104366490118],[20.022053135548834,19.49471603979144,21.58964916065896,18.30049966269132,22.7052643359698,24.92182429922231,27.39424685923852,31.85945132029102,31.459130411786305,32.503101404396986,35.56908459471219,38.478413641605215,37.27670117468313,35.235132186728244,40.33883469927792,41.61064236594712,38.99097495720521,42.787771204417275,43.22533932432009,45.85560537075972,48.088447729827934,50.799654083800036,51.01502568470017,48.94982381500249,46.889979470179384,43.65258756473329,42.391797944297295,39.58993060410363,42.062018763153276,42.91410889701183,46.787043674472564,46.54729105877186,50.466580973647915,53.55553720258781,50.78512959691012,48.28531936776228,47.29337855395652,46.01569388156441,44.559779098055124,49.44662390723823,45.68971741938,47.616906394428746,51.90841686621623,51.09777925684241,51.90382444122936,50.96630528540183,55.14722257750065,54.961108138333884,51.26622125530627,55.568992993589085,58.64367390221066,59.36466063435943,61.34142236897628,56.50509157959259,58.717986633912055,62.89529121551457,60.78677714909734,57.5961397168012,61.847629784864345,64.3121732245072,59.24088613431438,60.48818382905381,59.143892014065294,59.248005648680916,56.3726542354191,54.0235414858437,50.94769850757255,48.83801607803709,45.68707094757463,44.54807294826967,43.039745188698056,45.107517079231144,47.84707287358372,50.52770135724773,50.68488618073009,56.88325005695736,55.315415221170475,58.69448914580915,57.131689245291476,57.51941594718764,55.57499652870208,54.01807206688593,52.19722933512387,51.506753175421366,48.07387382471075,48.242576906238995,50.29515520419061,52.180148541918285,51.7967406939045,55.79125263079768,53.48010649826861,56.595941540077916,53.57274513337244,51.932751072973694,47.2405931855026,47.892337130039145,43.588947294817075,46.358937321057205,43.94056118106939,45.687614615368055,46.55125451726064,45.000272267387004,46.10877854139152,43.32863156698365,44.44598626827802,39.643098417981946,40.737476911882474,38.00874567640751,34.14353195738275,36.46060582021001,31.96732425059894,33.10413068241779,31.452894592061202,30.959387572944728,32.7347854305186,31.149411781285018,34.57125384704838,34.28516399655292,38.52350271030885,38.695627257417854,35.627831861186316,33.56323321117021,29.69129332760384,28.442817878385593,27.34750507508322,27.027195246772408,26.765374637083184,29.37148826446448,31.02954675589683,35.639354550757,32.30473142889753,36.64834926335356,37.262723376050786,39.9423260740332,35.21904935454028,32.41322982060601,28.28860089237345,27.72287886543297,27.231467969121027,30.89898864430411,30.878244044944083,34.84685590861848,36.406830837858,34.847248144200606,39.053850136502255,38.969368816026545,35.88273618301401,36.713069890588265,36.322469732682,34.81883908499208,35.986834757083415,36.88215235058205,41.03241187730796,41.174884338584434,42.59778354514828,42.838985485215645,40.690791010625546,40.384457206116785,40.98314632273547,39.00700789821115,37.39127167830298,40.64670000994599,36.69613018391036,41.32405174484606,39.48088286099496,35.05582350392978,37.36602674144472,37.50961108026964,34.47790917367783,31.88951653046635,33.082009387462016,33.17110708498375,37.92925343254195,40.266425203816816,42.65707709881773,44.57656096068672,44.40114856346526,49.158267643749696,47.424133583898076,47.72192726449241,44.32939979533301,41.442863443380205,43.71758954007391,45.05749942183961,42.628012823228744,46.36163623224,46.26883779272634,49.40524422162443,46.55644485933013,47.41284848736916,45.64671986150816,44.286105613794845,41.7180044046433,39.17767674316748,38.76923265855793,37.499598650241005,33.05317207686962,34.309440909324174,31.181511509796167,32.443312569364714,33.62727100744526,34.42018772938874,30.934596450116338,28.8231908484907,32.00030856343711,29.85708949470957,24.23137853587457,27.449598319478252,31.588527032417065,26.078167929303525,24.58701004392664,27.94340230292894,27.76273839367153,22.890169436489412,24.37795985552991,22.83456550523312,27.970305567619718,24.37307524564026,27.06863142742941,30.67126797081587,34.31354008141509,37.89687999212825,39.421865237456956,42.231845307435975,40.87975023382005,43.941739975201024,42.68826949321479,45.59344751333817,43.14645221108798,37.846684101309386,41.423073928366826,42.83530983911207,38.09050260396541,37.10840746412769,40.09782988273469,37.77231367991937,33.562963556583554,34.64022930901256,32.51695960577344,37.289943942127586,39.93858295970291,39.564950736038135,42.97151138765967,45.651641708165805,44.22671421419461,39.65015253394683,41.30970209641025,43.06284685313112,38.7304082623358,36.37538884290529,39.14599340479584,38.057100367149005,34.002722103544755,37.30649856659011,38.515683857494665,34.50202355149955,33.83202386278424,37.15240954461644,35.231906802759994,38.309829158314784,38.014999779482075,40.32191626247376,37.64249547192552,32.822277685587025,36.110582623116116,35.59846797904484,32.120539940386465,31.255803355046012,35.690094960883044,32.4831419142189,27.920743302312562,30.757615159172666,33.61614064247745,29.84771808012865,26.355892613003153,22.24616206810059,22.88316552272412,18.381733341995776,21.021853264199592,17.360983552496094,20.74853395561991,19.73201555712268,15.28357731962708,16.63610924566684,17.219159939181605,19.3197681200375,23.662841620215307,23.86163518408139,28.004415071866074,26.997793703633224,26.7303739076763,31.27458264177903,33.09059219990856,34.32518729828957,28.88334392556815,29.162848577202514,31.961542531436862,29.544966985473014,25.551997729926384,29.499568550966977,31.85369624119144,33.65634180268423,36.050104738500664,37.561154470593806],[20.914549316217986,19.706528918696755,20.86174737291783,17.251713400487606,20.699874347378337,23.85578429463353,25.882189517508973,30.488448174189646,30.390543919914435,31.031904700717746,34.32309348576178,37.26102578248562,35.46973564326765,33.64639388262711,38.692325127436455,39.70497267162721,36.75629214881242,40.43598677758411,40.63759645971204,43.04288401605221,45.18672101882235,47.66857969663463,47.877210884796206,45.67446779800084,43.59368345833905,40.5846655377962,39.294226342146246,36.731650440221074,39.459716596066876,40.53119104597305,44.760170199625044,44.486975907006894,48.58870326679808,51.465955350488024,48.45660616510492,45.776394554340705,44.72308491997193,43.05819886200549,41.37251484773774,46.00579970854938,42.14757716814749,44.35934227486798,48.551196852545566,47.55576766538884,48.186044292004475,47.09191450630779,51.26715411853031,51.26477774835607,47.52136355255443,51.67799284590785,54.902882358369034,55.65952866035841,57.74401978408666,52.974535561820055,55.36074799761183,59.48698586892527,57.318158204582026,54.33215331663378,58.67803562836959,60.97630860657525,55.992902934313264,57.47961408275578,56.34597012086138,56.39913712503728,53.32000850645841,51.097282092524964,48.26915855203674,46.37552684261089,43.39003302766341,42.574316886647665,41.09873433292086,43.38849173364949,46.01279656169198,48.372599816023346,48.52944194915017,54.67019292369921,52.78197403232219,56.27263900341514,54.47885784565758,54.60525488975887,52.66979489265046,50.85145999442911,49.208891060754176,48.26286934610542,44.71615602310723,45.176865983000695,47.26744807941229,49.42508781908452,49.102242163806544,53.401392231121235,51.2392755720994,54.55827203146362,51.71775850344065,50.20432386637744,45.564437201321084,46.54043604254361,42.282837915872264,44.825759574810725,42.46627779438773,44.424746517368746,44.704486484311,43.13454476305701,43.79697575273442,41.00941624289169,41.663189975691786,36.99829684067782,38.081021025345585,35.12873010449445,31.52857202835728,34.085612958265195,29.75812084824523,30.580081537498575,29.320157502044832,28.39354484753179,30.429604851701303,28.521754317277146,31.912348756127894,31.37459433208397,35.781515966194725,36.25168718552977,33.35596828748618,31.47533352788041,27.328542132681182,26.187486794351116,25.334933444709318,24.363722380219862,24.496658092396853,26.6174628526563,28.160769555610138,32.5620877076471,29.00982070708734,33.375595977744325,33.665924619893346,36.58584497884644,31.63298713265741,29.006026293223748,24.67908155999085,24.141949872492454,23.707532015944004,27.50196272222778,27.44260106410451,31.264395579088117,33.07916118233489,31.609551324138682,35.7551844747812,35.99023297835287,32.97279091462942,34.13598041793573,33.830592276411956,32.80640207146861,34.12577134539687,35.542826841281105,39.73689137039326,40.49824335941037,41.65623035746477,41.44235821136011,39.02546391966523,38.471681927973556,38.805731947776536,36.50774046449022,34.42221588008636,37.667979506225635,33.36792248604566,37.907082728131726,35.7313057274307,31.11430755801446,33.364789338767224,33.30710936642672,30.313650326765423,27.81520085462031,29.17443711566614,29.481366701928504,34.3452926786436,36.89811684948265,39.49698122361454,41.65791180622736,41.71413223253233,46.36458931258843,44.30210997614045,44.57627751083728,40.87814556579945,38.291004612435515,40.22107085288339,41.35404357280111,38.88975611686935,42.586502296101436,42.59189661062208,45.50867719189856,42.51577177065114,43.33882317748428,41.510170640020256,40.26673463137217,37.66080076035592,35.22422218744782,34.93398725429798,33.76417883718163,29.440131122127934,31.012081665695618,28.20222760975506,29.718090719851315,31.26645296655697,32.32505522540981,28.738525189099786,26.762689644592914,30.349820632789246,28.42302890541241,22.693374644672943,26.25853877428119,30.75763708313336,25.4767510050588,24.209913528555788,27.871715898914598,27.846510959831566,23.245898421831264,24.985430644860074,22.961974573700648,28.309127897311463,24.000291931841904,26.379466240547853,30.278391922450304,33.55167606997531,37.54304207906741,38.493466324975515,41.120857336223224,39.40646144494649,42.22981921106925,40.7368363451394,43.4233601311251,41.179715635327575,35.69182004081348,38.98055805131755,40.34685758463603,35.629136883374414,34.401047021171735,37.10382588778441,34.9083652161426,30.79422033655201,31.365350570470955,29.748731567704866,34.41875975546632,37.25451191136151,37.340539746859875,40.76168445995131,43.795785305977184,42.2243899669912,37.58887773314461,39.78182856613408,41.58807620405354,37.10513771407902,35.02406782227982,38.20859172468144,37.28123445924545,33.260011342188626,36.71214704460339,38.24405982486134,34.445139330621465,33.74199004320394,37.05904465499415,34.84411356384171,37.55626865704791,36.80859796971344,39.02304556523863,36.78910679660486,31.735457149900117,34.54088926131981,34.28771312112712,30.9677217098626,29.461215231441216,33.889731371156344,31.097016012363294,26.258251362890817,28.52158678389528,31.665094788328005,28.23377047217808,24.546125460066822,20.532708304584773,21.339068076346845,17.097626959740094,20.471431183104936,16.748532936015224,19.768482721008954,19.061708867310863,14.611232249618281,15.04565887488057,15.169825871901407,16.71309753260181,21.306196519224457,21.4067734022639,25.27388019219852,24.327508308585735,24.938542704297117,29.544703206948487,31.782195620830727,32.9244779563609,27.446538491883686,28.379642078010793,31.340955903547492,28.576794118345013,25.16661600890761,29.520016318930494,32.08366435621511,33.622797631778475,36.1364255335092,37.67201850402746],[21.52767727901231,20.143167710262123,21.17553352756749,16.47341673087118,20.12203867953067,22.51585156070848,24.04760250995315,28.70478667923052,27.97525464053224,28.17320130419104,31.289777056296998,34.55624979345442,32.66791935567508,30.364533531302484,35.39427945345181,36.65484869166433,33.63780556263782,37.139847695622485,37.16499645247388,39.89650438947718,41.9020341876662,44.629743537115154,44.66692394005566,42.53402942810047,40.62201024069086,37.40134905562963,36.38946166462379,33.761258444606646,36.50778178835895,37.78269766198963,41.551218797782866,41.75154691619855,45.74271694519125,48.48180263608658,45.656555270808376,42.86286034353783,42.207801276660696,40.44300544556778,38.972585981889914,43.953183788402846,39.851500534977966,41.62953102063138,45.93400466860251,45.27182123505718,45.974149911557234,45.22513530413709,49.36255217857688,49.167774880591196,45.70909198540932,50.1398996415892,53.130554287565595,54.08462371606691,55.93937933155019,50.90195824200012,53.35667024064913,57.35811168146504,55.01226865447689,51.87900900611522,56.18942906488007,58.462491479707566,53.24865359911878,54.44441027613432,53.22112411361317,53.077105409921884,50.21503083370569,48.03398564358749,44.82960900824247,42.95515915583338,39.68330855718011,38.84878644335895,37.19496276671781,39.29193998753772,42.11875722171607,44.551236231093704,44.96110831735782,51.12367662968215,49.522211160939726,53.098670519261695,51.53423544300619,51.85693455847067,50.21275367696139,48.67168178643195,47.27173256693151,46.59509815896482,42.92811093190903,43.03879394901537,44.75695742581808,46.96870914836263,46.21180324732041,50.4548304213564,48.01846671707103,51.120453850917805,48.299940815704446,46.942270618336,42.334004950505786,43.16554414102647,38.937949433410125,41.91072069213933,39.80328167587983,42.17301978210403,42.399565712620934,41.420473526355224,41.91368309481536,39.67747780413514,40.690208047789675,36.18900925487728,37.833602817883424,35.13359046684855,31.580464925014905,33.70254210888912,29.15943859871692,29.363298381909043,27.558477040042273,26.345226284416825,27.705358743567942,25.674521031495658,28.8385743869988,28.087776550303968,32.285974161008795,32.81035145423356,29.74117587721822,27.99299516036307,23.90113619194765,23.120173376213373,22.69772200381773,22.373194201460944,23.42120883990923,25.600938135677822,27.690419293038893,32.08061921014116,29.219156817246926,33.80673576138801,33.79673422505925,36.33447667898224,31.2315510980383,28.11011852975821,24.41738589374195,22.943820259160717,21.87399325650193,25.448313051686522,24.83943717104919,28.682593330147203,30.295320867879255,29.003963608602078,33.30161563740094,33.45946918075078,30.504465950504787,31.78928492486285,31.90049529663863,30.77592877269499,32.627290186867576,33.74478834028169,38.290670948281964,38.8918880314347,39.644840848838655,39.51933950416505,36.897387635006844,36.78491350733503,36.71379029570391,35.01283267358995,32.832139840507466,35.58323716291159,31.387363242231075,36.01934291130049,34.24395839537015,29.72326686936957,32.5442535345287,32.680378094265016,30.08496383883139,27.0942865609646,28.526124639460182,28.214265458849933,33.09463113197025,35.54636640638159,37.91171054361192,40.151094780794885,39.73931138851851,44.68354353269586,42.64021326791199,43.26491628663673,39.658412704997566,37.335444902672336,39.64712132016109,40.90973348138515,38.17078509383084,41.40490009796041,40.93559721454589,44.16733021303512,41.10710623708577,42.36922587070452,40.85408497670372,39.71507666944972,37.530885314757604,35.29184093815135,35.34529557706059,34.66624287620331,30.281314752720345,32.156952728723745,29.634340077688226,30.620339804130193,32.77172577062158,33.331952163493206,29.49112756841778,28.297468242335245,31.9315503287341,29.44303557497432,24.132012217682828,28.146825765849428,32.20214667680638,26.58080358328867,25.881458625790774,29.622675012736046,28.89822435973474,24.468664726925628,26.92395186015021,25.21692924845919,30.712736553662626,27.18497746447485,29.109016723438632,33.00178259469974,36.556225348299286,40.49445834086311,41.5740595276173,43.862945381597406,41.94335424289152,44.560701883790905,42.66028090829214,45.60805970415581,43.736211744782885,37.95373709838635,41.008211238562765,42.83717184207121,38.22317312800324,36.581961008700056,39.20787790903223,37.576564412834855,33.43132385737727,33.22012022345199,31.684141416610103,35.68851175760796,38.76404436485405,38.90575888070407,41.961547725232776,45.059957096291015,43.005682637716454,38.5886158224937,41.0220719618954,42.36175009642484,37.67451020982701,36.06072657315039,39.13271178766444,37.89804070857329,34.13680981738542,38.03085510808791,39.296236812513705,35.24905569997658,35.178193213999656,38.73963763600731,36.753170570275365,39.47332677815745,38.51940033743343,41.115485483148504,39.14637427124346,33.8312873364681,36.72945516370613,36.961251348511546,33.643408786802766,31.903580915069934,36.74324832742214,34.361071080523715,29.259523431145738,31.3622657209051,34.98976104024478,31.852296230649607,28.016057037848153,23.77542347933508,25.23472801987855,20.941362785919488,24.11522766736713,19.815955355686313,22.20311442712904,20.580130578761597,16.691505885122627,17.2819795949836,18.08484639941262,18.968604945699937,23.354598383035974,22.384503808125906,26.107149744642335,24.306854489003243,25.26228847045259,29.604928002284392,31.968997986336323,32.44374654166432,27.044005101297675,28.43277105437062,30.849335269387016,27.50388130815455,24.63639215452648,29.02887086413583,31.164418524439053,32.43907513503871,34.989877591376235,36.725976664737374],[26.083158479860035,24.602534729015847,25.26747158935776,20.766609066976297,23.575960957053983,26.75650839213372,27.93486344821928,32.63968234688123,32.071408225289126,31.811799851659735,35.007119115365136,38.38410348260256,35.93608183824183,33.64437078308435,38.53227525320732,39.643437873795925,36.201925355106056,39.34630526595292,38.751099965072996,41.396672595158925,43.00390098326671,45.47860299168101,45.20063190991202,42.71858193914858,41.106054135401735,38.2563069492001,37.55279816016204,35.40888774436709,38.6015394608513,40.31837129258183,44.242615331479925,44.6688307871974,48.787451350943144,51.185752411059646,48.172200591289375,45.072287893040716,44.55077412400123,42.11331430870757,40.34357669949424,44.94543979179695,40.44218755616104,42.548416001639275,46.68621535098191,45.836126888159576,46.06608772725078,45.08957808618295,49.14083204841375,49.411861519207946,46.02508958051244,50.13944481712502,53.45064288490423,54.58243913567549,56.6078614899191,51.609451040108155,54.48082832775828,58.29942489144314,55.70743143485149,52.95484437516316,57.4241226082271,59.30005806449989,54.10766983335694,55.54773901242482,54.681202290753596,54.17462211879154,51.14351069895995,49.325078147883545,46.19706729605202,44.79102087505987,41.469243793947925,41.153466518949266,39.32030539393517,41.399450105070976,44.3652884321574,46.37049218178408,47.12023440620018,53.16790133513566,51.356802328979605,55.17557290033758,53.43127513087504,53.437069701162386,52.00336777438918,50.13743063755316,49.14801841342542,48.10891609851066,44.21879290953628,44.74452336048194,46.33035974705457,49.025243098673926,48.113142537254795,52.76545006363224,50.36006921665874,53.538216245892315,50.98956640922124,49.90726190394393,45.41467828177136,46.47155543682026,42.344527793197706,45.30998854744465,43.37365479607787,46.01239228814265,45.69271221855053,44.79514126193153,44.781747335179446,42.60001043692939,43.01946889932806,38.73142314905526,40.25604519579097,37.235580249730496,34.051724850584876,36.52663616839536,32.258031754720406,32.15878463671751,30.80381056231136,29.042999206629755,30.491446089210214,27.9573936627459,30.837429695709996,29.307432722139637,33.54506284470486,34.76528088189609,31.837426576251698,30.553132831506346,26.180454802761574,25.879270793024705,25.977183794862427,25.032646724627202,26.60715545608564,28.16436085416409,30.013404506014684,34.04333919004937,30.73846766002747,35.21388649203993,34.72986517068518,37.761133547891156,32.32784471372324,29.61696611468964,25.572717801754944,24.16050133274518,23.016611831081807,26.719681824416213,25.49720855127083,28.844214421227242,31.05140048698985,30.207168772634088,34.441030326954525,35.210326514970006,32.45378863262792,34.29856046113212,34.63766949726779,34.068738576936745,36.09568794526143,37.64837467718042,42.19845034231173,43.22861217632485,43.7797644424,43.31649985981551,40.451247321616194,40.153061184267635,39.74575340237278,37.76000790944527,34.94439315466783,37.523620818313695,32.76815169607199,37.20381131793581,34.82152395403344,29.813753587766254,32.6185165341713,32.068443180444426,29.684390576833472,27.010193073044775,28.9380279482874,29.08076276311857,34.14602013633768,36.98697970949408,39.66041826523452,42.2776972666233,42.12096906836097,46.93254947069889,44.39921127245984,45.031309096340806,40.92108120084588,39.158089983312294,40.834170946671286,41.659707890371514,38.88312118054825,41.95496501520444,41.57640003134704,44.318710237366254,40.74746689804713,42.10069261068356,40.44122341948328,39.691837551227394,37.39217690478131,35.42407169895873,35.65793274659756,34.98388658186289,30.9642484364525,33.21897355686979,31.066964353643776,32.656925488445275,34.88066281981507,35.97909283568435,32.20469468221795,30.770666422081785,34.69261740322427,32.70475650023903,27.179106131946323,31.11727085097515,35.63213613364626,30.36632014011526,29.481152356507458,33.28838758811577,33.01274298037986,28.60993981909087,30.719893076414937,28.651204353320722,34.08132050515397,29.595511274539884,31.756520246370602,35.78075286267792,38.827788900420025,43.028796609329866,43.60668931771864,46.074096878628886,44.0619746716304,46.61508425036739,44.81008075420052,47.29862333582386,45.34488151481529,39.68199945799185,42.55478843214977,43.89759920978354,39.27831128425743,37.71860971686487,39.9396254279722,37.96901107606786,34.098287871679325,33.8075478042195,33.024993077593926,37.26356427924527,40.40170819410144,41.047256202442604,44.301569388184106,47.69673669865126,45.75500752888275,41.21499051166979,43.99175357738465,45.59131856152105,40.8982775445476,39.31231516769394,42.71176564662497,41.7211161939197,37.89185841875655,41.63363478499219,43.20579982477782,39.39246931527204,38.99316438277262,42.39721737994894,40.127031834207884,42.61388382816781,41.48884995257642,43.737601379510416,41.90702935108079,36.670959837014195,39.097397227655364,39.143570480871404,35.981224408907664,33.9319606633794,38.31901783825936,35.91283347384017,30.937992022379206,32.57059169611671,35.884398893523496,32.774418270264114,29.03192779878044,25.281422975848457,25.948610868189068,22.11278551660666,25.955505061913527,22.347652856267896,25.01976993473795,24.178892743222818,20.012883147042654,19.971424465039657,19.851664117707504,20.653478815024208,25.303476176891923,24.868816921599883,28.253855029203724,26.85845113043621,28.57324695424429,32.99559158774531,35.62996307551228,36.206505595704904,30.82236396518505,32.515789359375724,35.15202682045298,31.718969998557565,29.119015597252357,33.659925031495504,35.938250060367984,37.11670166693512,39.6760779198897,41.388511096660345],[26.847963790467972,25.177219316320897,25.60046151681023,20.362848829299335,23.05245336427416,25.61876491744953,26.23016507384723,30.882093259809004,29.804232553052202,29.03729160576164,32.04651583190436,35.68751964331566,33.062418958111515,30.381916918634985,35.164979292280734,36.45232615367412,32.914123941347185,35.8188114077311,34.99771374560744,37.914622784700924,39.36024404032144,42.03588872074326,41.59221263635096,39.174946506700685,37.72823804719035,34.71124743555234,34.292546525995455,32.14704807502988,35.37774709419762,37.321401366571216,40.82483434651977,41.70092977088568,45.71102541342538,47.923426303817536,45.066296486431426,41.8482204086396,41.7080162493073,39.13062911727946,37.55396587798687,42.432299580628786,37.711422882172954,39.407120348330416,43.62260469590981,43.08671383471806,43.376977635875505,42.73959044452155,46.73557953073119,46.818808569208045,43.7249031188002,48.08129889378615,51.150321245361695,52.466738882759564,54.26550691008711,49.03737742837953,51.972170999952375,55.652070310372316,52.89784139993117,50.03115671594707,54.45761989585699,56.29061197496167,50.9028978956783,52.08504747589334,51.16015508937412,50.4639510618378,47.62447257604531,45.86720461432343,42.422347126547635,41.078125088244356,37.51969103673618,37.257296623148044,35.26239257187326,37.17987615268146,40.30883892042801,42.3110269587284,43.305483896200194,49.33727897367385,47.756690004226044,51.657969988786974,50.10630828086915,50.26545826926692,49.11815040358306,47.49751758893833,46.76738678552342,45.9655407970682,41.9759738090801,42.192685393953646,43.410344704804565,46.177629730663355,44.861369737609444,49.48079957593761,46.84969760128301,49.838612899220564,47.354532507713095,46.45185342669196,42.034891893687366,43.00781091993104,38.96007815975693,42.26252998429004,40.59767143629678,43.63116808132304,43.162457034077335,42.82369000800591,42.58252626932251,40.94008391044488,41.62991974012079,37.56194586353233,39.58643216119356,36.815010180472974,33.74479380541192,35.81318515474014,31.44359406961222,30.733741865999242,28.96618419165512,26.887059808447507,27.685224339354818,24.997685995342284,27.572489766910277,25.760111026340393,29.770139549239865,31.111118860620454,28.07516195181978,27.007066331692304,22.70162018654289,22.84376216617712,23.455238443213283,23.02817845620493,25.494351662378314,26.98181807628191,29.27625564655017,33.19768208235553,30.57486578745968,35.18940435699969,34.415503150297035,37.056390059079376,31.541446594448963,28.422487333212565,25.0570693075302,22.784076387733123,21.03285881622416,24.43812064063869,22.640629677347633,25.914568588819087,27.93207186705223,27.311500974968055,31.63730776372055,32.377052548497915,29.73667619754508,31.740672616617317,32.49608256231241,31.930094426795858,34.44361259118186,35.78517805889282,40.59674666928074,41.57379521889253,41.70363152160271,41.246957833084025,38.18064052973477,38.255661301354884,37.42838658097933,35.98238897079587,33.04617344002167,35.10620061372022,30.461324074744365,34.92098421712975,32.92724213590392,28.07055697102677,31.40150931546991,31.060836968225704,29.104651462671974,25.98616549709336,27.95301100575995,27.49922412946146,32.50956805207361,35.237820513497695,37.67878493034605,40.37446595778045,39.804037813181736,44.836475310428966,42.3025118158421,43.262067242125845,39.24799013528712,37.78678835341583,39.7792635874911,40.71179624630811,37.695759302614825,40.287141075559845,39.455052346683715,42.47521181974005,38.86838521345883,40.63913898482996,39.30404821102673,38.65790306913896,36.796487573637435,35.03980792212662,35.60136610461368,35.40866687028493,31.382653585287745,33.89036120572595,32.03739761956908,33.131569594476325,35.89264039942997,36.549105177443245,32.59181584871367,31.874186139906577,35.820540131774855,33.38830612878888,28.29218687423244,32.58436719772578,36.706741793481726,31.24440710480245,30.862244553597193,34.728471305486885,33.89439031220324,29.72680241741293,32.419794796435774,30.57156337193336,36.11512637468532,32.258224491491475,33.98521930766147,38.01043145236722,41.275361619526784,45.45209998479451,46.1060472540872,48.23129624033324,46.00806784954594,48.343591319360854,46.15168010041131,48.86414402694505,47.28187445163954,41.36088693916887,43.98703067354727,45.77001460158025,41.275144031151235,39.326447569710616,41.465523412849095,40.0630225377322,36.17726505597302,35.150374504627436,34.43941801580915,38.01339742394901,41.353372494347994,42.06626247444219,44.96098481338069,48.42056762929528,46.03702436143152,41.7276378889453,44.74617940644996,45.91984660125106,41.06964955718427,39.94207807406377,43.257045358612935,42.02552920629205,38.46511827837846,42.5734357910905,43.94057874266892,39.97565660792279,40.11552302530984,43.70746262702118,41.61700315213545,44.05826277605988,42.71262114924734,45.285309225276,43.741710478765256,38.28005915106237,40.739029947559146,41.246477766170415,38.10921160239994,35.82623881636487,40.57488898865246,38.582820041316566,33.36813302145072,34.83887718452061,38.61371164674444,35.80377393921317,31.92143375213791,27.96326800831308,29.277576505232773,25.373461704766747,29.031638763430784,24.917728738388107,27.02526309845472,25.490367395292825,21.838011387517632,21.861395282457764,22.285758360364813,22.53533058437838,26.92120998678033,25.57397071725126,28.740196530475693,26.624369735728397,28.69753773841707,32.812733329659586,35.56733358387435,35.538925097242654,30.319862021454767,32.45949969892829,34.60866797928895,30.6878197855994,28.70939066830779,33.246759819261925,35.154471955190296,36.03970204457296,38.6081176414978,40.475656635694186],[23.44104273320155,21.51233064568778,21.630404721854326,16.32386443998976,18.881633911687814,21.561119718102407,22.239845647318372,26.921912396911537,26.108197091753993,25.58655604005173,28.762072543793487,32.208733335780884,29.68217858731504,27.32867026147001,32.21835521857212,33.3565613244696,29.982056754609104,33.22324606479203,32.900602093679296,35.60269647828893,37.437150612615135,40.09521229568364,40.03137856363049,37.8233901591422,35.98153746125331,32.84557923746941,31.979047215569995,29.556054212024154,32.56171669889845,34.18427012103411,37.99176737450971,38.45416698884652,42.527809211525636,44.96015573138757,42.03012444766037,39.00230466760565,38.54484508303432,36.34456602363982,34.79869830257588,39.751722707074855,35.40988345413083,37.168544138901055,41.445670981912585,40.82838060112748,41.424007029201135,40.76478846862187,44.866082354225085,44.701204611232335,41.391520494071436,45.86362013435903,48.82321771011197,49.93063187003145,51.72853271943595,46.59329346304933,49.237912302508676,53.10810371619456,50.6042320913763,47.56685247080925,51.934496552578,54.04187404630179,48.77333825746902,50.01329493521896,48.93010856299275,48.6305804271811,45.70900107827158,43.66771362478688,40.4810168057134,38.82827937620536,35.56255160842948,35.04676457024447,33.33194205415914,35.537808466115386,38.344796951950684,40.49289766486147,41.04219553317792,47.1433780310073,45.40514666313727,49.12866837200304,47.48686954879467,47.683403617981746,46.23138665621007,44.62667883215341,43.5554453664914,42.81815646598158,38.98331400747271,39.13790971681902,40.64318242263579,43.14090753640003,42.17256652398874,46.6587314895766,44.20950540799443,47.369602986167735,44.74825857823444,43.613468016892696,39.10698263504895,40.169435408508136,36.04483065732953,39.023222272090734,37.15192730637065,39.956440802528,39.57929869598911,38.967183673923756,38.91628969049036,37.05707978145266,37.85364229925708,33.653370013763826,35.640314268939456,32.94956276818576,29.749404114459004,31.755187558467256,27.331666155141765,26.79031075445778,25.04417621682475,23.194919508317454,24.319636747110664,21.871672593877182,24.802091755659124,23.638380675309154,27.865885256106388,28.728988711583966,25.750571413125897,24.309732137072903,19.99568519843083,19.62384734306687,19.81865862235791,19.261021920131327,21.390539081932694,23.03683328084546,25.350248761383376,29.428105284874604,26.918824826680417,31.58165588604495,31.062026562627945,33.50955830974544,28.164163893921774,24.907207647242696,21.592954024122843,19.439137262336487,17.92557182511133,21.406868632831788,20.34541003363611,24.03532029140794,25.750944311430327,24.68326263022,29.00599174622728,29.432378644420183,26.617171541915912,28.322453671250436,28.81127695585757,28.128504597576764,30.452259439025987,31.866006807761334,36.59570918313136,37.67473511170228,37.91836083387844,37.41035487217743,34.43215512290185,34.36390415439036,33.76641376183938,32.16965682834928,29.484719627873243,31.849856630943147,27.411475326019946,31.987857564353238,30.191030650445814,25.597750272524095,28.761196411410754,28.869936452566296,26.638360442899117,23.39262254969501,25.013003619388936,24.442749065982017,29.38036660902627,31.943273396786932,34.32566984401513,36.83252142785107,36.335011194719115,41.333043979737525,39.00409779030158,39.8370375744297,36.032871812223405,34.199004605036414,36.42735052625145,37.580274828879716,34.64196065489869,37.49512631308971,36.792566880365705,40.029425977158795,36.81832967332636,38.34308764038151,37.00329924071719,36.04482059789332,34.14909146975475,32.169599920910116,32.57512072951585,32.34970072928151,28.122632654733902,30.449521047031826,28.47383942956633,29.29365792437293,32.10768346892776,32.56105907662884,28.570609627371017,28.041714037862757,31.940251408558,29.361751185366106,24.42538535261626,28.834886510725088,32.80221618378757,27.348073179002622,27.17417850329157,31.076437140803986,30.11469545416478,26.143146622366245,29.072388848318823,27.22873463831312,32.80225820876034,29.26309817913517,30.645026450556482,34.66072994522212,38.022754643732235,42.18127345406787,42.87709356499585,44.78376934323275,42.47742427749363,44.73628829598062,42.41221539154502,45.3017418267629,43.85805347121186,37.833600122528814,40.44577830903651,42.510354599946105,38.06398689304927,35.98338199350283,38.27339031271031,37.160337999303785,33.161367725202176,32.006385263187056,30.987772265387992,34.36061820701841,37.697851745972386,38.263679346303235,41.04722127262178,44.446911263983104,41.99010259444923,37.73151050457075,40.73232145297382,41.81003937521689,36.944468670939415,35.88921264112464,39.18692091844371,37.9308334346662,34.43070084020414,38.625320391117675,39.98297000001911,36.05215980073649,36.30916589708885,39.93813221510587,37.87939414881577,40.259532156566166,38.82898850857143,41.53361378919946,40.11551350643802,34.565818166108876,37.064975779047195,37.795020783970934,34.67311402226324,32.32709616542698,37.30562362397536,35.54765703664702,30.20695347089237,31.701525065377517,35.76958148922083,33.14637815036227,29.182520149348626,25.038882422545942,26.958932576091,23.000783442872674,26.420150512250256,21.96547909834841,23.619075600280397,21.811405117484284,18.501096812782745,18.45386710135711,19.251421353659385,19.2155952994038,23.389587203239163,21.671150724647404,24.874629034537918,22.599559326638218,24.575174822953645,28.651538722392992,31.409675361811423,31.3713584989161,26.147899541450307,28.36342305647248,30.52586151835487,26.607432618757272,24.720612405838686,29.33459870948286,31.34550134365958,32.194264405386,34.80454867984602,36.64567314154119],[25.024993374715244,22.965626498671423,22.6895295382591,18.227353124102738,19.85949956161385,23.857901151619455,24.643694935626385,29.3197697998315,29.24499815261743,28.79722797016484,32.22041555757865,35.39921275196792,32.52368297526911,30.728149294159106,35.50804569420387,36.24474482919852,32.654725621080736,35.842808234625615,35.34278839767471,37.581402493724404,39.3397903210386,41.54996533006798,41.52306144628113,39.05887871534772,37.16774427807609,34.50236834503347,33.48194565805414,31.44462479389874,34.70810548624268,36.40700743582783,40.826882005403874,40.93200767145725,45.21207693443429,47.53448287171893,44.27493148396062,41.16386236667469,40.373308152384155,37.82718402839657,35.85856467074038,40.21115942997456,35.88433813915747,38.312553000230615,42.362080027538376,41.27571679064402,41.532859177685104,40.38980820560016,44.4934635565915,44.77539084933063,41.212875043968154,45.24652326728838,48.61794068927586,49.6391516071643,51.758949890626816,46.9124640326956,49.7395416067941,53.620956145780696,51.152062614014106,48.49447440826709,52.994560456665006,54.89117303230077,49.88607239930761,51.59317733271721,50.82593836607393,50.546297083706264,47.27652258099702,45.400241556618035,42.718035808034195,41.33315373818462,38.41218028947937,38.254477426636974,36.66869264296816,39.12381514455819,41.72083967656243,43.489573905030596,43.92884976571383,49.90970087487874,47.697075247419846,51.47062297214805,49.456432041482394,49.23456553152104,47.6117487043643,45.51382271739746,44.47707613038456,43.23830479046812,39.367545698799574,40.14207635028354,41.94393086847139,44.70291361370266,44.094835609409,48.909560436126206,46.7945995623742,50.25361775891278,47.80754617064295,46.69657409503059,42.252342604157,43.65792701760838,39.58792438990877,42.067127240967835,40.0729737093238,42.695442979355896,41.90972914292508,40.81295397044774,40.51009298122607,38.20152951760318,38.23406438522412,34.05846534478507,35.520763534268525,32.387132005725945,29.443949786570577,32.0580766884045,28.022346807358144,27.729825409033083,26.837791407154064,24.83791501626391,26.736090704201377,24.084557441190565,27.068843047267492,25.697882838319195,30.178014226297933,31.388113877920002,28.745402987509603,27.455325295279646,22.931562399155577,22.44741598255442,22.535287613982863,20.827414239754408,22.52911702368698,23.613013852375296,25.292320978336793,29.110115181207377,25.725937191290612,30.179383165742852,29.521786002106595,32.6273011652413,27.132352135957195,24.570683573671683,20.428176813048466,19.130674800121255,18.22168874107143,22.032375904010262,21.230827224085985,24.613007823879936,26.89392546193392,25.886466227089556,29.98633969200951,30.8905086794069,28.148867357798995,30.116527879191857,30.357949881562885,30.209650394119453,32.191509109489886,34.246674914153274,38.67480118112204,40.30014957567862,40.70308216218661,39.8061923729263,36.81251930822445,36.182750388141876,35.69065070243873,33.31763768424468,30.238719116469074,32.96398795090311,28.038899081616375,32.39465531538804,29.807880201281705,24.791974362243938,27.42136651061894,26.954022883207617,24.462915136230187,21.79988770824751,23.693384632492563,23.9988793619469,29.070876173007665,32.0009830119278,34.81949438503562,37.52515708594463,37.652236217744466,42.276184680039655,39.58154219247692,40.099402504121635,35.85914895370348,34.18022307011381,35.64582916928017,36.40352655239702,33.655953028238294,36.83158702805565,36.635345074341714,39.288213262540516,35.84936830052907,37.0084310444146,35.297137714059794,34.47000098430441,32.133185594493874,30.14802362045633,30.41893401207545,29.86235502525848,25.888040991598142,28.333857056624808,26.48063672398104,28.08673237882895,30.65828771762995,31.832117888876123,28.03245911583156,26.899427722003068,31.05055685489276,29.2028129794688,23.879665525870017,28.053653864828274,32.641916827726796,27.713127810618413,27.16084894799332,31.11971935676036,30.89503080964207,26.94067158486242,29.315364883735096,26.960542535580693,32.43300710487518,27.769261412595544,29.373990958178812,33.52971446086239,36.31171940160386,40.76022490958669,40.908791429194245,43.02499227611159,40.67092353764331,42.9285696465498,40.83228486746726,43.23454987220387,41.594896698402486,35.760307152849904,38.314091456000206,39.822111303695756,35.32989001038648,33.45233380833751,35.4748231792415,33.89975821435935,30.099821279348536,29.179192432272135,28.700923477403386,32.593952121876626,35.868514057860985,36.82611784787539,39.961962305823064,43.5890849693782,41.485117869227146,36.994566169855794,40.18863153287908,41.7441942090621,36.98310409364221,35.711477591505314,39.389704199574176,38.53647161629137,34.84284916418455,38.69169848509837,40.49453313766163,36.94111947000976,36.59213534797575,39.96412672409517,37.519872310626354,39.63317125066734,38.09156062756944,40.32766246590884,38.98438420733611,33.58255825945386,35.58820919674492,36.023242885680816,33.06101817330571,30.464723725076453,34.938766607992754,33.11577779988672,27.923729788714788,29.02127833119847,32.756643243290995,30.1579366188234,26.2830382990756,22.606966536017037,23.8775418401534,20.387204120980563,24.413088522689694,20.658787894212576,22.593581421670798,21.857366960288278,18.164182901101572,17.35873962007477,17.123094796727084,17.101790307666615,21.57416412609011,20.79164259386457,23.781942438544878,22.387937580706932,24.8316400631957,29.146001540971124,32.08551741102438,32.57757057957918,27.311222219213516,29.547872212007064,32.2771624082105,28.67789847370325,26.686705473366125,31.458945605368243,33.92990315464845,34.85868824557769,37.47581580614964,39.15241834461305],[29.20517597914803,27.190639137461538,26.91277939290505,22.111846416958674,23.589078059399757,27.329075020873542,27.653505568647688,32.29061585618279,31.82858616929933,30.807921932996525,34.06261844323511,37.52837681289804,34.295277396940435,32.11963376623091,36.716734042695045,37.56511682758875,33.669507233004445,36.37984265467733,35.2164828413948,37.66607735707184,38.937744890012375,41.13878747114946,40.66958101042537,37.965523216499705,36.526050423915486,34.02207201599919,33.54958775617281,31.89466659456283,35.485053689631606,37.66947141444326,41.74569947842583,42.41678616781933,46.64584722019327,48.59813546075359,45.390724731547905,41.98591097575475,41.64337182265379,38.524703431487595,36.523156243973084,40.80577243868345,35.96868792743134,38.2729273197237,42.242068763950826,41.292958235311794,41.18925497407754,40.14747692634367,44.10815916255885,44.642994306098174,41.41483955863886,45.36400795476843,48.79912353786301,50.12587709908401,52.18975275090648,47.18968287709381,50.39894317644178,54.00259449419861,51.193469340291934,48.747194225984295,53.31988668970402,54.85491125246037,49.6946251001302,51.339799027372095,50.79236810170617,50.03186688274935,46.835345546723396,45.31828903786695,42.37105995932313,41.40266293963696,38.193214262883714,38.43156786759129,36.546300659172346,38.7604538525681,41.65231241857435,43.14113856350621,44.091616395020814,49.96121683156362,47.86347798138956,51.878427760529554,49.94111700991644,49.641209753055655,48.44436027297299,46.33851799473483,45.82696945961257,44.53600835102204,40.43553214050885,41.24432259992066,42.6096575255268,45.76446412212579,44.67196096838949,49.71117441230022,47.393371521155196,50.686905005668784,48.47301028490268,47.702442366814054,43.40437889262935,44.80982888334495,40.87196777390444,43.69838554435116,42.03685156204385,45.10401222996682,43.97507895823505,43.383462896698795,42.64626176428785,40.804170147205745,40.70444546124686,36.843158687326124,38.57282677549916,35.44645761309011,32.811862681397855,35.31982974525109,31.376493278337254,30.51534401999169,29.522869482492766,27.01926535127362,28.372638284591815,25.316989634022153,27.79478621362505,25.580966547043683,29.81176506344152,31.652438020557053,29.001925934432332,28.228451648860826,23.65543060963146,23.885504515906483,24.682524940204374,23.16113848910806,25.764849974200573,26.50328929106329,28.347367883097945,31.82941944214856,28.677114146730446,33.0837736548177,31.905308786808295,35.05435487001113,29.328795090468102,26.79198507887827,22.991480895847765,21.10107256772786,19.6322918750971,23.210572325293196,21.360617931749097,24.197879422931578,26.812090411410228,26.398608949020932,30.49753420394865,31.828063582832446,29.353270136817763,31.801348728969018,32.52657643584251,32.65187070143095,35.08130119509836,37.11717382761317,41.73599581802764,43.418488350129365,43.45295496686004,42.4679843085545,39.226898865614494,38.82550281591684,37.83532247645655,35.76478592194906,32.23871211888309,34.3914729797649,29.205022003544368,33.39231648234656,30.670149029372997,25.40801426420541,28.438948654725184,27.508521777330813,25.600822261024724,22.91501958954208,25.246906152116583,25.43513185240664,30.543008740433482,33.645629480413554,36.470542647504104,39.47537726447984,39.42167022892416,44.12232026542846,41.1137273659026,41.89958723637843,37.401879189643005,36.37142563514301,37.615320292280536,38.113115110677604,35.174948426423875,37.807304911734626,37.30452359309615,39.760135430845054,35.84173694451646,37.436453723435655,35.8680434407513,35.4810290317013,33.40585464216532,31.83513392777535,32.487866478364985,32.267078477140224,28.63042190193772,31.458609762562045,30.036282320023716,31.69857113231193,34.550971048606385,35.75633190221639,31.927933176444856,31.03811871917902,35.274014454691454,33.42508980264856,28.23844122836165,32.472145029925834,37.03266962474817,32.105982904855665,31.652488064942563,35.6180821871321,35.28524942383443,31.34104220680581,33.78834358289664,31.473885884851132,36.947728161859644,32.19319381781661,33.844052213381126,38.01072487780885,40.680205447263916,45.17918697628264,45.18141820327122,47.291281324001126,44.85473808498886,46.99816049827357,44.80952833556099,47.048434533455584,45.52054755686349,39.69513253683102,42.02345354330781,43.41894301121208,39.01322430171706,37.04200160832699,38.74045846434847,37.211570960238454,33.634999706642965,32.333933973335554,32.3854075324158,36.03565560813125,39.421122407431426,40.68290326578753,43.723350182230114,47.50813443943991,45.24403607096192,40.842417498305025,44.28411788573337,45.7337323769246,40.912101843621464,39.8747860781114,43.601738860895914,42.70643989000656,39.11786067721009,43.05904420706235,44.84168882373474,41.25827266788876,41.0397556870896,44.436752182513715,41.99559975646583,44.04250327984662,42.38462534933731,44.59553493126471,43.38691038194204,37.974943508018214,39.811523061639306,40.302240224003235,37.418393209976536,34.66409661018149,38.99827225756523,37.26882107776941,32.13026273213403,32.95483075562351,36.6031655507783,34.09569969465969,30.287260179006434,26.83496646193553,27.787309584405513,24.495460096497606,28.687183155180016,25.11168452927145,27.099810588672472,26.336403129769906,22.66584773038013,21.863990294217558,21.492037088641162,21.34594372382095,25.757556720280068,24.83876899022573,27.51988215472126,25.9298648467007,28.8395382341494,32.98742261045062,36.05908463925926,36.23712843299772,31.093115968221788,33.61335504509753,36.11650177406181,32.21824197931968,30.589082013993025,35.35538733775245,37.606651940803175,38.37257493257881,40.97424265453279,42.74625012166535],[27.85937977103076,25.527712970185085,24.749088408042027,19.533556826100906,20.476553912134932,23.946025418103318,23.73190845664258,28.273343220741268,27.68951078727669,26.32929115526991,29.56536241132868,33.06382500290999,29.623233684289133,27.458913065168147,31.97704050505191,32.77795071104982,28.837632875720786,31.54611753047592,30.488987382121547,32.94287754779629,34.35408529418575,36.65995680155319,36.34375696513366,33.81248344138764,32.18582239687237,29.493357183258055,28.911940196643737,27.119891897022367,30.665855336242473,32.86956739739788,36.91157619734187,37.63561165387524,41.85439502019348,43.76315515365843,40.57531171844237,37.16985406951205,36.892474376775425,33.828239518517194,31.943821513281684,36.46890053316485,31.686297574622486,33.77315401559655,37.85045598863463,37.0576569070427,37.20430901053651,36.399776539246886,40.41348413365918,40.63225401412112,37.46352074043901,41.69545541305478,44.879729552238864,46.209548067809486,48.10897318084935,42.988789198580484,46.071820393002504,49.70363636556627,46.93324767803685,44.29615672861671,48.82032269781168,50.50101446691158,45.27372497029048,46.80724713018586,46.135185159472535,45.510501683183,42.35351163801991,40.69355776254371,37.73469216196477,36.63967167674016,33.49967802600193,33.688486792723886,31.89324728510461,34.25019505240431,36.99365903908637,38.50246693149151,39.317602171596896,45.211169636766996,43.105331449954754,47.082329493872564,45.18022842416235,44.974823085041926,43.78405999652079,41.829912585423536,41.3179202075879,40.21391253955971,36.11176599376791,36.68693204872374,37.9706541185946,41.055531135043516,39.903268465469324,44.8914865805865,42.56214261309,45.876346336704586,43.65786359313934,42.89253735842981,38.618944823801435,40.09801847467863,36.20500994074902,38.988077338781444,37.42038273744085,40.66256564831235,39.35055340001648,39.00798357952945,38.12090756656557,36.56842649232397,36.656567277238224,32.93537301398083,35.03361703589632,32.143120105786714,29.598757149185726,31.759042416092928,27.792865846160712,26.46580590333448,25.286708005459253,22.553167074317212,23.658054896426982,20.52699620895995,22.960051067650166,20.858299207701794,25.141334818206328,26.843501798460412,24.215947591037818,23.441187035437874,18.845883313182494,19.16785221574646,20.22589906590102,18.809187388341574,22.048947749062197,22.646379815946315,24.817287031730384,28.21730316165991,25.70410480399008,30.228203153411094,28.922754423009145,31.634844916163946,25.927610890538574,22.991859707038394,19.815474338907528,17.21696289846166,15.343179430930888,18.756428035795505,16.870925341192045,19.934436523664292,22.268554491819362,21.754945776451063,25.93762910235677,27.122842421660277,24.646698839843577,27.13042909215275,28.043246837503304,28.24065124605966,30.944418488009276,32.972561689549686,37.693110135093896,39.5201393338027,39.25624678467255,38.14597462097766,34.77206681910573,34.507488379196275,33.277063351895286,31.467907029686543,27.900532941033703,29.81914649112105,24.76198595295675,29.04271201819466,26.709014836625897,21.696484849449575,25.092057259932144,24.660291049055726,22.938131847367867,19.745464249319824,21.90490543328676,21.51672852820777,26.564466595105184,29.509431944730554,32.147630686241015,35.140792074652715,34.85581584185955,39.67855208617785,36.7436751061375,37.70516165236748,33.37079182369542,32.39971750062182,34.0021356696677,34.711698948043114,31.615731940631974,34.024928874697665,33.24769973502147,36.07341161688393,32.38894231802904,34.155640579835996,32.85320489683957,32.3336073299163,30.610556646530924,29.07732453125375,29.92166615629561,30.113386706304947,26.372869294168787,29.31888491398881,28.13225190472627,29.223104824209823,32.569292876036165,33.316542982094965,29.359066847830846,29.196370188348922,33.415622370854756,31.19528278686304,26.526792671528995,31.062245883405218,35.20933386941356,30.26100981453612,30.338400430429587,34.33877847252649,33.553531587676225,30.003836779192117,32.98291868780419,30.81312702928074,36.33078782729262,32.22414691868983,33.29264606227161,37.43321612811496,40.272044185436044,44.74181375622457,44.782723883512396,46.456533397373285,43.78408893893067,45.669495782953035,43.07784815432288,45.575771375126884,44.464566050449754,38.3893455470211,40.46257597399969,42.39141676932175,38.15223621107196,35.769027295613135,37.46405713962714,36.62591081409313,32.997203064590785,30.962254967762263,30.921983035396522,33.83818154912632,37.38497313754005,38.65170270389915,41.310562049719515,45.1283219005262,42.46355738944365,38.30325850290182,41.97008557949053,43.02415970565212,38.09088728860326,37.50845887721657,41.18243518469206,40.12456507193156,36.823490659032245,41.06741378530572,42.718139332698755,39.11563053433371,39.36063885579073,42.883112892938534,40.58359758769738,42.495382630232065,40.57563754575256,43.090792689127866,42.24069550732087,36.62920724970656,38.44169593796694,39.456236392187584,36.64450388835083,33.636380119763515,38.359644319594,37.154379303707,31.781992467824434,32.43801916530133,36.63241329577818,34.525442012509004,30.583121930998406,26.906157691598153,28.735903723687628,25.407151807314495,29.290503779844304,25.199394032834004,26.43297788391162,25.06868588178677,22.077559819680403,21.200694631223246,21.409672802426957,20.60851141342508,24.57842866809136,22.7092581482931,25.10507069376648,22.864364026722274,26.147878174263894,29.957135255273172,33.15671974613233,32.84597864514736,27.914028491202775,30.89983633150285,33.03639681594468,28.78333100927368,27.83753626930045,32.61605158800611,34.66296080418699,35.13207802041315,37.74186474468879,39.5905752732919],[25.172775725993862,22.541959996069565,21.119014946154188,16.83371284069457,16.710842025979584,21.493412156749915,21.604935150394123,26.094847418157812,26.550321367208415,25.774458425626587,29.367511338303316,32.28646621549807,28.884534096489617,27.6909461625847,32.22035672480502,32.50618662022785,28.760848344902595,31.918416439252837,31.51448217379793,33.252519850628325,35.165814539356404,37.06291237618203,37.33110953421813,34.931972546960225,32.72284358084652,30.2866115825822,28.903198423766028,27.024286405002076,30.34708434306199,32.045202991125535,36.97237558049332,36.757062595797976,41.18225493867454,43.3626377657736,39.849680468020445,36.72544303018614,35.66780482796815,32.97392613961174,30.79349178964623,34.86238073576446,30.74784316330615,33.50451408973935,37.43803841975607,36.11354861076732,36.4298641356852,35.145443028120276,39.29818865452574,39.5439905527257,35.8162905992732,39.796743434102126,43.18727804445586,44.10100591225405,46.29105224841573,41.5930520204468,44.36413002792909,48.297142548646164,45.95848886657344,43.39479115708026,47.91291100570507,49.83098630341287,45.03346033913214,47.011564834800794,46.352552852329154,46.323277557462234,42.81615720421931,40.88311185388209,38.717671118361075,37.37624351316152,34.94792156460517,34.99127462894102,33.709279393023024,36.55150404338517,38.69280758805298,40.15983666260336,40.255027000222036,46.10357528936401,43.461237682264795,47.17044533552539,44.87235040273285,44.40192862917292,42.60037177005761,40.265636737620696,39.21751424946438,37.77537367574071,33.91580915095842,34.94819040437051,36.95415510296063,39.79305073715034,39.496994147738654,44.47774472249844,42.690830679599486,46.43223786096188,44.13685822979459,43.03067595207901,38.70079042276504,40.49789457932905,36.56230440051392,38.47950902280266,36.487195266522214,39.13752405095767,37.75341164610337,36.52756982440423,35.810488107830516,33.465626764418936,33.04991535847949,29.092164329953395,30.583412098268603,27.373289231453303,24.81632944357891,27.49398133970183,23.80657943662602,23.097223702367717,22.779060035319926,20.403156211894906,22.76519420176392,19.980258121767907,22.985109945920772,21.824181299103575,26.491319383614464,27.676976455236954,25.446623319898297,24.21847331693883,19.657925174956837,19.01677513812506,19.19165717282843,16.52498847355649,18.590227658040792,18.91829279394045,20.436286334611633,23.88508333781624,20.587053675645986,25.02296603581505,24.045529077343193,27.14802225918101,21.5466609249036,19.102823018924706,15.00897071454114,13.653478156915003,13.007641711551484,16.87500754945281,16.639236637345903,20.01944796390688,22.311749974859353,21.11486025181134,24.9992175021981,26.07010893236144,23.399212842748263,25.547534677107013,25.73932727243692,26.1694810152841,28.166648386290923,30.797540125952956,35.06514826326918,37.38743690078222,37.52213772170898,36.102907915075235,32.941397307942154,31.96949200682336,31.283323084797132,28.529899099389446,25.07914191910786,27.88174554327519,22.76964464787866,27.0044384865154,24.22865546196314,19.249179464149453,21.743861546813545,21.479992762704935,18.931604599880515,16.14450552431985,17.983649224008722,18.381264328819704,23.450892579732464,26.477575839864127,29.438803587926,32.27249382263058,32.687083451261095,37.09561876042175,34.19908036521174,34.636097757149194,30.248718965942142,28.75065933072591,30.006567416138704,30.704256559523163,27.93567669293293,31.15180496696221,31.10193443374168,33.70595010684179,30.456517814708295,31.44081543860979,29.740223427623686,28.81342402108856,26.533642080308564,24.56983129453504,24.976733609661366,24.72096683000582,20.82754464149533,23.594934226704275,22.272815633643418,23.734978340339673,26.87833935761915,28.017600126120012,24.206670902544943,23.691812382538636,28.040978677051097,26.305501685115164,21.52995126854362,25.93087761083575,30.38519050978944,25.959036670914955,25.937838132765663,29.950652262617847,29.666805780548085,26.41077293952283,29.112970121464112,26.58307404309173,31.94036745193426,27.383096810920403,28.199572148336117,32.38244628030357,34.850919276604024,39.48439457151613,39.16670320601579,40.76760493218214,37.99801338042966,39.82400120391487,37.30544587947722,39.634716371936584,38.483281265062324,32.45417962894782,34.514248040292905,36.32496368558822,32.08337696462947,29.731725822112367,31.45445423050703,30.55762239784117,26.917415493339295,24.98005451775965,24.93401704634425,28.125204408415797,31.599314046980272,32.96119748080542,35.82706075696099,39.72648983558778,37.3341160978666,33.00351686107344,36.74026143106782,38.125715126511274,33.29638559681873,32.54360899512196,36.48664327765673,35.756728409602125,32.35222617303288,36.34140746164446,38.33911953773898,35.11656067383769,34.950739423690365,38.26447953460423,35.705529167291964,37.3376683209537,35.27503548499456,37.54011890845635,36.858528909477194,31.313987511154394,32.78022742082996,33.786637980571385,31.1313042609932,27.8834328391138,32.454906221964826,31.465579334889856,26.11070998243774,26.479830674438105,30.747723623577652,28.896925795403316,24.971779663927702,21.5035072351965,23.568468651172488,20.653566039956704,24.5850491852278,20.77514010424693,21.609763283608345,20.871654426236663,18.120927504079862,16.512157371942667,16.30626285573578,15.052823525100983,18.89443733993177,17.40773210528887,19.657892169295707,18.098943776406603,21.608381523767793,25.587426546114195,28.890763921913102,29.126439044029095,24.16876035467426,27.137972735141012,29.80387989506824,25.984267667673876,24.94885178203534,29.839883249112425,32.39472872569702,32.950974007101166,35.576590068327825,37.2136856855923],[29.471952925635545,27.03312692740018,25.875442797938025,21.595917064343997,21.65582541753833,26.372054927664696,26.36253481270711,30.835304317727005,31.072445741697823,29.941305872643387,33.41822371272814,36.54602876044312,32.86472931363506,31.390774856510635,35.772903734748155,36.115882566177284,32.07105169803258,34.767186895570724,33.662283805845114,35.496805535609546,36.882139208587496,38.62294227242913,38.43187331511927,35.674319289532065,33.939830715659234,31.842518387056217,30.991960810283516,29.625553405769747,33.32756299597119,35.489721240040815,40.215762805192405,40.43476820783176,44.8461858519995,46.68024307684513,43.14576303398031,39.73713955497058,39.00938323731391,35.68318300727345,33.33634233264534,37.08105166793965,32.460559866838274,35.34727763472066,39.102649539289196,37.728728028325584,37.5101501943042,36.097296063950594,40.094331233019034,40.82653773173138,37.33303125517774,40.99584890524611,44.653640376773296,45.831017198162506,48.11469562499149,43.40205981468287,46.62613381780631,50.283004908420025,47.62311145855972,45.43170645153285,50.064697773277366,51.53544144554205,46.69001333200138,48.77252893193465,48.440467104685354,47.925877599850416,44.38099078450243,42.87468159256858,40.588305030661445,39.739214032926846,37.090807411263995,37.589264310694674,36.02241428139885,38.655347576516974,41.078492995504874,42.206915835707875,42.79249577747574,48.50775050059594,45.864602869286934,49.819075648202094,47.49430086168514,46.81721362511832,45.37312228623803,42.86066429572794,42.32313776262759,40.64486647213967,36.5757059602355,37.876216674189145,39.55736571229599,42.84973352117884,42.204132868243725,47.47811104014625,45.58412682307108,49.23073079961743,47.18413121450753,46.388879878432796,42.19543937060851,44.025581370595674,40.1977694851741,42.36073079784403,40.61396355493711,43.55542329300302,41.871209709737656,40.922921213865855,39.82566182067637,37.72568548611095,36.95643728119102,33.28582331979024,34.740399577559884,31.383173141529426,29.170717972646614,31.97981190761644,28.507707598259582,27.535904063709914,27.326153800018552,24.585954063433622,26.601026900650563,23.437345481076026,25.95688771002136,23.880584341094547,28.34964558793206,30.262090739393624,28.068501627253724,27.35018321480742,22.704427299987113,22.712735950107557,23.445884657396245,20.858193464468588,23.394626582703378,23.39931529617527,24.78352802012894,27.81963220680374,24.333481925857676,28.52395469873477,27.066424709463536,30.524753092920676,24.742260285780574,22.7221605001214,18.63819309861523,17.21738777519577,16.247605247291904,19.916141773238163,18.59918116041944,21.246626474936043,24.133259698847464,23.602550032987654,27.387869811201373,29.04059522155217,26.667413810815336,29.302803636239435,29.84038703526097,30.57110671857171,32.79408999472642,35.478504992380664,39.8048622102348,42.183904776533225,42.14950789377457,40.65179020931245,37.33575730901985,36.43170846059891,35.409054516868636,32.71871855101651,28.82171502640742,31.19987395206034,25.71779312205445,29.654614612884632,26.405796383887925,20.98904639958904,23.585376144492162,22.436212111007958,20.377803120438173,18.015844902897527,20.46718917582709,21.21288062136019,26.29576200198427,29.614265674882745,32.72789735594394,35.87563496469872,36.33945530906105,40.66309520613063,37.37276422395096,37.92092092236089,33.1459694361943,32.31525631864948,33.00274616123036,33.242070223990915,30.42576448420358,33.248401764506205,33.13891768018983,35.230588047097626,31.35269514355589,32.59484564576476,30.823770539075575,30.441819733858075,28.166903491974008,26.63259544602206,27.305430795043456,27.112692569743903,23.748320632244898,26.820382009355512,25.85096212236393,27.798998509731135,30.848930970596633,32.371575736944955,28.692288793235026,27.914744602669256,32.33454238923474,30.9291756298973,25.986698847664332,30.191543659923457,34.903674090163435,30.58861992695348,30.30993969239163,34.30527315808519,34.268142819779925,30.808583653561808,33.220493395316886,30.575582583509984,35.8974103211423,30.742726034549836,31.946677789815137,36.16382797046652,38.334020336383155,43.070766960262766,42.4945958174128,44.33390010322917,41.60528377664844,43.44011776690317,41.094690842400134,43.02777066609833,41.74632641771012,35.93029861370213,37.875351904991845,39.184954496927496,34.962325928187276,32.79163964640023,34.126918823441436,32.83529327526171,29.50873117339921,27.651602442034406,28.294143742202063,31.695976246178294,35.13891331718352,36.852963209586,39.86076868433952,43.90336918778419,41.64461994653957,37.27563222691368,41.13052526510555,42.68938092844581,37.91986660435601,37.1209926382629,41.168115709066214,40.552026757597474,37.08612816714343,40.925957662645544,43.03530674691226,39.86679467287536,39.48889784958472,42.70877766379544,40.02621862406733,41.6128183159369,39.56898988809191,41.557887302372244,40.838854872354936,35.444496327727954,36.67068987430295,37.39960012587002,34.82303928100085,31.542142334396534,35.65176213677276,34.47750999999575,29.347003344705943,29.473214688921406,33.28596145688861,31.332578226835782,27.564670003495362,24.5225497833689,25.69843225209021,23.059242522053296,27.419642106183346,24.141715166081088,25.511365339892777,25.226017842527526,22.02687625405402,20.4143901884473,19.604110972625293,18.705091973543112,22.751326023106717,21.87740464650409,23.919522500513732,22.708445630552447,26.41361914011355,30.396137575762406,33.73749254906878,34.011022849369574,29.099292087405193,32.045024093321814,34.753624906905,30.90984513887581,29.821619097180804,34.70844929845425,37.22758378704352,37.801213778356015,40.40607227938416,42.06562760183129],[32.98119003820209,30.573654757895028,29.50776771211247,24.517649194744855,24.742680459118052,28.621791570454437,27.99886598138592,32.369734243570505,31.89402002371203,30.028483216033422,33.18313526092236,36.7058425772941,32.71372060263422,30.628315422983704,34.75438093728198,35.3492661392736,31.03370668872037,33.12917956072701,31.27975949796758,33.537825052862495,34.360084497066445,36.28261357236732,35.55004567133116,32.62640140032817,31.450463382030474,29.33744400437548,29.235866744619443,28.19288346383411,32.17125310454366,34.8914683239442,38.936602823903584,39.97959849215692,44.22568722303515,45.63428361632214,42.30723337203189,38.588392078406336,38.557273963703196,34.69457173322507,32.52189952199844,36.475070058306024,31.23479058345882,33.61067822183,37.374757927799855,36.42028610996195,35.95518447312316,34.96011373570651,38.778535387687334,39.54416902075672,36.61650007878762,40.436855657893226,43.907119495945246,45.50027770900702,47.51974368142424,42.47340817288619,46.0487112638747,49.35445864068544,46.2732780728061,44.139684838948504,48.78329657726894,49.92978294813515,44.76984179673895,46.55557020653521,46.341996766413835,45.25728511169763,41.95106452862371,40.798049381068076,37.99208965117903,37.5430796503636,34.44780531970979,35.31488535894267,33.37169224691279,35.6550680506357,38.44878929200334,39.34698578962638,40.56578233742641,46.17046753980313,43.844734057921144,48.05682260215223,45.9837096521331,45.40077947252659,44.55656156744904,42.28704229351004,42.378616063529584,40.908572283250585,36.59740270082406,37.60731566212203,38.596352708614965,42.23866923562983,40.843083451299115,46.234013815742976,43.97318522347722,47.30251704102988,45.48558502074145,45.099988171302705,41.0925000381564,42.81585144806111,39.168027838879134,41.88242791978874,40.605196330658416,44.149723925305416,42.187070642801395,42.074339617449304,40.548631454291105,39.25116894929234,38.708391854107525,35.43716097758997,37.48880936664829,34.417467269162586,32.438513533837636,34.77406520606504,31.242693243067492,29.474015234203215,28.767631234807382,25.506611952409333,26.508048508315355,22.961213270269752,24.77146029560125,21.726751087477417,25.74912941217083,28.313612399668894,26.040252578527884,25.939429762508937,21.380247144958705,22.323504484533103,23.962472592647952,22.071567583054136,25.829218620919754,25.69264604971461,27.585959377117,30.33908881529358,27.690890081282966,31.916185081000275,29.958212357128733,33.00428656297126,27.111888180777395,24.72473768561438,21.62781821767408,19.01927499559585,17.038402766409778,20.137236264680755,17.35533084013656,19.382022102444978,22.39353826237069,22.61267380311499,26.462827495011368,28.41410957478969,26.373619974505587,29.469215784652736,30.71227913531278,31.556705665804625,34.452912751318486,36.84618267965281,41.49471077704837,43.74911552068696,43.17934195996324,41.70699352726363,38.107283643438954,37.71729307970621,36.03458357365964,34.08877358392507,29.87056284406061,31.33011459878192,25.824451670154613,29.62602564807908,26.70140533560168,21.322328000574604,24.74816011706613,23.47037115214629,22.372618616562647,19.60494573926003,22.33506699839354,22.345851487727217,27.310163056461388,30.588500517806008,33.43996841443343,36.82887012184731,36.756683323996725,41.3282751079784,37.858375641299155,38.90437367250133,34.095149771844916,33.979404045868726,34.84321385487771,35.01721558884049,31.873266463469836,33.796611915042334,32.998534961823346,35.19899480788394,30.905878478503,32.92092488428814,31.600970977120024,31.666293800213058,30.05412225974877,29.042960156927048,30.253248123842738,30.691508475705838,27.574079512783136,30.95239724681826,30.378901728210053,31.882484716059647,35.39204702963969,36.519697477722225,32.703660978722205,32.547118745171296,36.93238945679565,35.12236071755968,30.520041328983464,34.958637998949534,39.32825125835705,34.74921051396993,34.790697836328555,38.80639408769532,38.28297549491173,34.851011959447355,37.65785008095608,35.26314818941673,40.698839754318016,36.00861482504838,37.10457171087856,41.300680051601596,43.68781198672662,48.35500700815039,47.90856121398458,49.5798927563377,46.751064537401426,48.43520491990503,45.81884678811455,47.869678249275324,46.86808695697573,40.92669880756782,42.63822877972171,44.2034489003235,40.12257591603474,37.69977123620583,38.849975371882245,37.96260327565908,34.74340904696173,32.30934704159581,33.149258826424266,35.921265083290535,39.52001489606108,41.340811880439205,44.00906367886666,48.10485987167817,45.44485485891227,41.328205116345764,45.37879254517218,46.53865216059539,41.643847900459335,41.25675703045931,45.17494054847438,44.30972304859242,41.076486184464244,45.21996137618291,47.095079192179085,43.72309197384473,43.80915156697677,47.20103134064164,44.70687191106469,46.33849952316995,44.18668051414647,46.42613343047214,45.85428027327154,40.32697531337624,41.63628090455043,42.63825653182421,40.05019922267439,36.705021267648114,41.007934546041476,40.00965833390569,34.78905522894478,34.87451592696787,38.85852629132773,37.0009547447095,33.199989874854175,30.02642374293987,31.3659931426864,28.55037980952017,32.80438261166617,29.205819371001677,30.47661788779831,29.607848506909445,26.571693304284977,25.29055483230385,24.91464906321589,23.9114185570696,27.801782637352378,26.23845685733836,28.08535225497531,26.164450727292174,30.13893498221257,33.801074784796725,37.21153211755606,36.852193763875015,32.1323347320805,35.422052705258736,37.60976853783155,33.28212217124528,32.71649792928524,37.53722823884695,39.61740076066662,39.93245500390394,42.51108968191797,44.34474901827339],[29.992814273838402,27.201365126250554,25.360740162723644,20.662155461562012,19.708736326829058,24.009731897877643,23.024316999534026,27.20842980094168,27.276031772657223,25.437419517471177,28.80200352925937,31.96712144090191,27.7758803066717,26.365540890717124,30.42338733703531,30.61246979051874,26.353352547469232,28.782828005228648,27.520176112139065,29.27579577575649,30.647661706622443,32.4092184170326,32.2910198909642,29.646353929823878,27.78098382502003,25.61195358236407,24.765507831722804,23.496075669257337,27.32730369500104,29.74358220609928,34.4040289764841,34.84959354355183,39.24505013935039,40.813712092905796,37.264701071486435,33.72034172971305,33.20530441951666,29.618859331838188,27.32394247065653,31.26713776034742,26.49644675511239,29.170667914168632,33.00222862846861,31.816610878287623,31.762097501107732,30.664749295957236,34.70052003121391,35.13246386754723,31.8168633987695,35.81982416551381,39.19536982217762,40.49947616897444,42.56497454188971,37.64545770657563,40.88497119224353,44.46953429790609,41.72549458153832,39.40785313587214,44.028919643016586,45.527635240492195,40.56703450023572,42.56001289883971,42.20386954011661,41.70632946753396,38.17141054380889,36.636827061233,34.37455006745372,33.5848212666954,31.061896792095787,31.753536469634852,30.27367743287174,33.066529344785415,35.279183708558385,36.20180745665257,36.749153742845124,42.38510904004602,39.6645993177598,43.66143262693253,41.33748869164818,40.67131742142363,39.38301731386191,36.98894956606346,36.70082382079004,35.178153207405856,30.98555084793329,32.083721497238386,33.5115315944936,36.93444041040463,36.077105502361015,41.43738223072211,39.53295351966537,43.20030379165723,41.30099348485795,40.66770460232193,36.62578120956444,38.6401553089532,34.9958532923428,37.08143023643685,35.60778776485725,38.93293299936946,36.73726653886522,36.29255856937248,34.710321517952885,33.190264205087054,32.48755107892203,29.225449359642145,31.275234833870346,28.24482362985213,26.408303784150153,28.696113672207357,25.37271531193249,23.454942044665255,23.14560711564781,19.80291009074726,21.37697929697167,17.91010572300662,20.068317703151433,17.764852990374017,22.236473399984632,24.28535354220445,22.31446449596295,21.891922685628966,17.296099507995567,17.71100251186643,19.102972889538535,16.451066834231593,20.242613435300026,19.679691817350875,21.485128554088906,24.09561889134906,21.658421297880935,25.91365509837316,23.967329731456278,26.820858680175537,20.957744186584446,18.466576168405307,15.537751282095183,12.778903648564587,10.989437831853637,14.28532960828399,12.486775663377996,15.129843569045994,17.90068936047207,17.50390326685553,21.31904465493806,23.098150611352537,20.904382279861,23.89364722575591,24.886013335594818,26.012125679907104,28.745496238143172,31.522791187297344,35.96372494270096,38.66708784122277,38.066396461830614,36.272103630187296,32.67625129213287,31.95859343090301,30.366481002564605,28.054963710626307,23.79171045812476,25.58759080133173,20.053590670171253,23.986275048471455,21.093953234315205,15.832554339034873,19.176764355777074,18.546509942219522,17.099579635688304,13.926597951857872,16.381205516251732,16.268337484644857,21.29653840480456,24.535401093090265,27.453068104716696,30.771636036150156,30.935885561175507,35.38139409291718,31.977608683516447,32.86308505509571,28.129004735309397,27.76199628559789,28.756346585516585,29.135835020083277,25.999316818621015,28.250295163793705,27.653900618381886,30.14100830634525,26.359746751564515,28.027294097000716,26.698660201466872,26.33303544664666,24.71350649902886,23.46419096824203,24.632805539101035,25.253320477337926,21.98572513590442,25.397393137368546,25.04638939492431,26.190304975940627,30.039461326425553,30.949216684210967,27.154230091776597,27.515556402059687,31.886802133138293,30.048223603913243,25.978587101156787,30.514311161375588,34.60837885200809,30.390609542747598,30.84955493609599,34.831184328914816,34.200278541447936,31.334021408150587,34.39405993135843,31.968839561625167,37.2668195962959,32.96260626470189,33.40413361625542,37.53501105507667,39.838443260866626,44.516973233586626,43.917435283254875,45.14290014706966,42.07271131446592,43.47239041049176,40.544289315351165,42.7246757477938,42.09450115598435,36.00353744618774,37.4454999895119,39.43450819520796,35.54580109848334,32.774982816170386,33.918754319518186,33.669971388605084,30.43774857307976,27.36232276840051,28.138937323419235,30.297539004990803,33.98631447069295,35.86711036057975,38.26849612342482,42.42225513224184,39.55822279244259,35.60303133073026,39.885211151787914,40.86005767370389,35.960566891057574,35.91685409005725,39.90767382427751,39.09569564305989,36.105226421046495,40.329374755691035,42.26881512707564,39.13660025878251,39.39914649874594,42.74546174436183,40.25694308437957,41.58906909399956,39.13694793413105,41.48773752146156,41.34374252936902,35.743127814861964,36.810164301071886,38.27392278989698,35.8735493661986,32.212447683377036,36.720872604133184,36.32605578377181,30.991399443403495,30.758606387592348,35.217948683476244,33.87779524092701,30.03237013360141,26.847440180034276,29.023964668441387,26.440674040090176,30.369114487337097,26.566914709021137,26.966818791082996,25.942308101522862,23.696568665665836,22.024804530771178,21.929930885115876,20.16815692783898,23.421634399058338,21.21979340256357,22.577382168922657,20.438936303389024,24.919864846014693,28.266691833062875,31.829172710012255,31.321050174468322,26.86831648728089,30.558769990950942,32.6835431832063,28.328407295299005,28.380878335283708,33.204443783825035,35.37266583221605,35.463897864796266,38.03234941612274,39.793489323291766],[31.215968237888827,28.390898722870702,26.366766496648303,22.25907589692957,20.852990926955343,25.84845002254624,25.04539620774459,29.151996586679886,29.709969543489986,28.067589663815056,31.539266444596056,34.456045650833794,30.189152465725964,29.201226632616393,33.14883268310045,33.066853370324345,28.807847875942297,31.200396749865014,29.922617473671494,31.258529121530273,32.586458503887435,33.94952673890351,33.9057834276286,31.128802129374343,29.227892987375526,27.503124933313412,26.500215462841606,25.545245077267126,29.412019662108932,31.764918654177905,36.80619349745915,36.92786180806478,41.40950920640437,42.92231928763284,39.17929134389646,35.6653525031119,34.86066881596382,31.13541172473946,28.54903609449666,31.893146992967807,27.27782084109871,30.488160180137264,34.05294078108258,32.46765037133483,32.144303007428675,30.612143363715994,34.612031952183244,35.41659947634122,31.892228230223353,35.46208249227028,39.16684740026478,40.36438909515678,42.69293753392103,38.0770249118598,41.40615706383398,44.98874916298919,42.32766013781799,40.33425328488527,45.005288205361495,46.34763373414306,41.67235565915531,44.02320240690199,43.8988153837826,43.466912439378,39.702570529168106,38.29033964949709,36.48407851277477,35.866525834142074,33.67098962931834,34.540818353191575,33.20508918716391,36.118160410473564,38.137159201570704,38.82454631649361,39.23409435748647,44.71514290972548,41.67556211799367,45.63279141257042,43.050782584662436,42.07501355386975,40.63093251714006,37.87016111555337,37.57343009566517,35.659701420203774,31.516926244352167,33.1184258836918,34.80249963826534,38.3412478006017,37.82374948613086,43.33043250320773,41.71637954007406,45.564741096081754,43.783991343430216,43.135304899604556,39.169228466425935,41.37312778016593,37.78796693787136,39.48932765610197,37.90974800586798,41.015819918780274,38.61526347153538,37.77926105984631,36.07677203178657,34.202727927541765,32.917664573639996,29.721948142979354,31.31656029958616,27.9823502543415,26.406934651576048,29.11626633023733,26.15917743930074,24.510758759856277,24.842451941366235,21.582076669933944,23.719230433143768,20.33762627887831,22.507673212528413,20.2963330449001,24.75417410672793,26.895108350875272,25.211596095475496,24.81413727927412,20.297542450219815,20.48512771223217,21.600892830263923,18.31158202622334,21.51510047455031,20.57976117931686,21.80623557921687,24.11215888855228,21.007481262630602,24.9849532406476,22.89363596066443,26.282710028772783,20.39331515897941,18.63637192822118,15.087092053197239,13.304966204137424,12.319756860134232,15.649890281162364,14.339496744893568,16.552307627746526,19.64590044714646,19.25415089007366,22.6848816629778,24.75968093100307,22.680529178566992,25.703206865305923,26.42093354931195,27.863990997558425,30.245558711258106,33.40311921594068,37.56338670237114,40.58080580090943,40.13952070405098,38.12775826023849,34.60401736009289,33.4838350969191,32.05201612440339,29.17923374518746,24.743685962114988,26.834933223007877,21.093202983862668,24.69923355598888,21.147971324196817,15.625398193393954,18.298905176749166,17.066782850024655,15.384000757275048,12.9017330726291,15.616209201710433,16.423005930466516,21.395506650217758,24.880529745006843,28.111649199121736,31.51142106760019,32.18963193890593,36.25634430459326,32.62693400405691,33.21803647262869,28.19483545294137,27.951131612762836,28.26544726916927,28.28659065008162,25.360003633871873,27.889435309138506,27.785460642637904,29.70672662689403,25.786065737734017,27.06290350499403,25.38575129886568,25.144444500022438,23.119219531432176,21.89658669960901,22.97263175754032,23.35504026809289,20.403810631322926,23.94065317480892,23.802790591599674,25.521740267344118,29.174971521619195,30.593914834901145,27.011270908146322,26.98715453224613,31.462330718266653,30.16135238457088,25.962017607521332,30.256066620570753,34.67481185110816,30.87755628358858,31.11733972322529,35.07212962928404,34.897347219197044,32.09369610321942,34.79996347099155,32.107401470871906,37.25810888041315,32.35113769453222,32.85287621102847,37.00659929572732,38.8745292950207,43.708138527657816,42.706071311931595,44.01348059804088,40.90196284025501,42.24623088126423,39.470019709800745,41.26522898873215,40.550310397493796,34.64127962940122,35.96203524691923,37.54589558426511,33.69810424150785,31.046040907093417,31.908809155738094,31.40704721892754,28.412651771650086,25.37011980431863,26.67043166425523,29.097698314868936,32.71528079427183,34.91616377608744,37.528931307885905,41.82829483791863,39.23218856564633,35.160909968449,39.5644408859832,40.85898118328222,36.086874678532645,35.91173317341425,40.12554160726358,39.59728440914,36.517948076796884,40.47017173257709,42.689659688820754,39.83785035661126,39.71559694434085,42.8617595440809,40.14425031318788,41.259675431753706,38.727379689233175,40.73191808580008,40.69128017560361,35.25040849178088,35.91975605074868,37.21488367044551,34.98794794085822,31.147826865080727,35.23686382644367,34.905971566327494,29.753623673545675,29.136403091599117,33.35124470273354,32.16425987494444,28.45962799537464,25.719332790086288,27.507341865133068,25.40163103930511,29.56162434602163,26.27609867893996,26.731383607407487,26.360433786165274,24.01662421474886,21.93408856197831,21.24101460643199,19.39621749668464,22.608980353541543,21.05050948185281,22.121590482753614,20.705962172080564,25.415346983517825,28.841966431458196,32.46811198823213,32.33967000265289,27.931095150536034,31.554189447754258,34.02289687958807,29.959815091138072,29.88825883333477,34.747578544990944,37.19075125854629,37.35968181148938,39.91429897808902,41.55220491957443],[34.887413818237484,32.13184486319685,30.23550355417556,25.901338298774455,24.649672619262706,29.370183684247685,28.327524583181944,32.36879872374337,32.62338466946586,30.573623163784536,33.86727743688039,36.975891627154816,32.456291028835516,31.18522220639802,34.90407473807664,34.88886398290378,30.403090589380813,32.28307151665812,30.34271851755351,31.784204275777793,32.574517714290685,33.819566315475264,33.32190332868768,30.264296425773523,28.85990013763619,27.44174068052565,27.019319051451745,26.55929635938692,30.70280148550976,33.49196744336934,38.19549983692071,38.80634062544354,43.20634451084969,44.343864987629196,40.65330624760248,36.89121563401245,36.49837216521376,32.21899562439011,29.591375673339744,32.702106057983535,27.610837714498476,30.74554596005214,34.12956635098262,32.629682304623294,31.847172582285705,30.357510701272098,34.15265611810608,35.309468298905045,32.1598019812219,35.51626683252951,39.31903866743559,40.82177977444801,43.11689165281677,38.43543595933332,42.15731652951975,45.41551977523784,42.42726283881156,40.73658678011199,45.459950770378036,46.38478505787005,41.63053320276907,43.983777761737336,44.13720215175058,43.23301395687056,39.505285666134625,38.50456822330554,36.54449984819314,36.3984843492546,34.01455482725143,35.313798932338244,33.738836574155,36.43661983534219,38.66271040590534,39.00687928741629,39.8803624488394,45.179720712074136,42.19955782937054,46.36399747949318,43.82411258934762,42.71536384327642,41.692961904287976,38.890152231170866,39.1403108546437,37.14287757834424,32.83233214372256,34.51871153789648,35.76293247930277,39.687971464159084,38.74221803730066,44.45329456373617,42.707459717004305,46.40556253509928,44.8861960002549,44.56401083324394,40.781530359307745,42.999869287607446,39.57393114770843,41.52023450408766,40.240572902991254,43.68260532101399,40.98749324879029,40.57255019157864,38.494339572956136,37.038146554953485,35.60653949254126,32.760853861552725,34.51478283113395,31.23607279281373,29.952936655530948,32.547922665454294,29.719391381648748,27.697726600410864,27.94159595464771,24.369866835183508,25.98981460868622,22.33984657705272,23.94596226856968,20.92853064392817,25.01899935732902,27.805368009324887,26.207933519279706,26.323512289830266,21.87878644879822,22.68511380545883,24.336646101174725,21.33103641322235,25.073718894123616,23.961620652812897,25.263386558544713,27.21000887072238,24.359395106563408,28.128219335895107,25.62245313200157,28.99469242460872,23.10386002033342,21.52009542760463,18.44635866809421,16.320101164690957,14.879754535200112,17.72385753026209,15.32118136867923,16.65375319052618,20.138181751096603,20.45373453791994,23.711750456508813,26.245322885816016,24.516425238680664,27.931890760238318,29.057544175479332,30.71326928598611,33.40173967172574,36.50389515042663,40.76310043474758,43.80290013163596,43.08985751448142,41.01657863759462,37.330959137245166,36.3960340053107,34.56598682728397,31.97644519273432,27.23045594751815,28.72488524473169,22.856994247279562,26.117134879289594,22.430174688463083,16.827181838309183,19.763322467836712,17.90826941888525,17.056175566672678,14.851411537969796,17.903248927895707,18.62179924704475,23.37266319763115,26.94537208558016,30.12975043163291,33.76305915984992,34.30893224734077,38.33905618941601,34.42636770612242,35.24227367138219,30.02498267580339,30.46241339730444,30.470798637584256,30.173076704912173,27.153449064867672,29.043139998763433,28.668085454338986,30.232742440587284,25.788305110845272,27.499632155551343,25.97355806921838,26.28669316381305,24.57686723854927,23.878745889989112,25.30645269352499,25.972007375345832,23.500116573069114,27.22631817723757,27.4156958390151,29.20347080260266,32.93127467898998,34.402643612241576,30.866095649588488,30.916667035413433,35.39754487343833,34.134366277502096,29.96675753398017,34.2447575713058,38.67545017730145,34.857482962882045,35.082309036982686,39.04541597818795,38.839406343115556,35.9553763276511,38.662218817268176,35.97739746769784,41.15718936201067,36.104722677573356,36.73717026966802,40.9019268862831,42.67684480816978,47.54056197579516,46.42666146788274,47.77276165255916,44.63886654174723,45.90912147943681,43.127977154336484,44.73263121028285,44.074135688216614,38.26543744098474,39.412646172537606,40.813680133148395,37.07195816746567,34.43657586916846,34.999540389875456,34.46416550566136,31.71976553775161,28.53086379665368,30.24924782315887,32.52268584443346,36.141689845031756,38.564414647693894,41.10859188378013,45.49130197541963,42.83445430145019,38.85952366997552,43.388593787178415,44.63274287662748,39.86965013407027,39.82147735303138,44.04628656555116,43.50460079263074,40.48168334189028,44.454582672369014,46.6644725565592,43.79145780214871,43.71310233995646,46.863565625974736,44.138547235209636,45.22394103956847,42.65090049998444,44.588428973643744,44.60576313259325,39.20357133341822,39.759406518015005,41.018626550224965,38.8447173035478,34.96368820886342,38.865187952153,38.53255652796339,33.47722876849264,32.715426101171296,36.74467357598348,35.575494815867295,31.954128454896974,29.381375547810446,30.82206320311591,28.799460138142887,33.11992011304567,29.962377941378534,30.61900747885876,30.268772553190058,27.761262775952982,25.766200529383045,24.95506139082513,23.247712012756406,26.51846186346987,25.033282905077826,25.964949728107424,24.501022045690362,29.338566898061377,32.655162863016486,36.31522547441103,36.003390110775214,31.697218355706386,35.41995636486812,37.75013680132301,33.53037731435324,33.60605286761521,38.454417210602614,40.757887995546035,40.84425910759156,43.3799879807111,45.07544845971427],[34.238056610731185,31.356819982925664,29.228441148701062,24.564432818705004,23.01487011069115,27.136595169475495,25.53484686941653,29.35761362946058,29.333085033530015,26.85230739144356,29.9855176669049,33.162069715709094,28.439751492756024,27.07250727221027,30.59194058628228,30.587593397309515,26.018602699195046,27.73802976412442,25.728166043608482,27.286965901781674,28.116975517646665,29.56649119331304,29.117859611744223,26.20752792673692,24.681209354529486,22.993033318226253,22.621512392945604,22.095999175974672,26.28523167206513,29.23107832709077,33.721090573355156,34.576997643821954,38.91085846825933,39.934372537695,36.32917297931456,32.49758542658305,32.342309081476785,28.000765261838566,25.541392230014207,29.066168999418686,23.826875397653545,26.583811283575074,30.164263697855905,28.96736152194069,28.462531565881736,27.39243488332733,31.26384741502268,32.00208679565332,29.03071228195406,32.85143050280367,36.299478592411155,37.90019191348818,39.93281080323964,34.975597771750465,38.62476765243835,41.87362469390781,38.824536181295734,36.86405324516339,41.55466147320726,42.61888577736578,37.65405675759073,39.78461650365671,39.7875620690083,38.90818004830325,35.28191574757365,34.16783997410084,32.02811032105163,31.813849687242314,29.387691827619463,30.71194717060579,29.15444632324599,31.905169046960204,34.05644030254079,34.393051800316805,35.26584157010406,40.59077924984656,37.70189698254064,41.890918074669976,39.467023256497264,38.51976395107866,37.630813088820034,35.07879515174753,35.444649213301254,33.73667305943478,29.349196357623416,30.666337349641356,31.658732827408343,35.580710826322914,34.381353099709315,40.056407801795416,38.18857468267869,41.82467634072402,40.325605698943995,40.08500873202372,36.36891026005711,38.60417828321931,35.279020829739004,37.30826032825916,36.22720485894918,39.93486658768193,37.06968312263712,37.09493477958317,34.8251952976411,33.85190736552348,32.74229243735288,30.110309086117187,32.376099742729906,29.45367536733227,28.256367501162188,30.34817885074669,27.484107092446106,24.874933295777126,24.80779849491239,20.938983036540705,22.033415023559783,18.241717220858735,19.536181350491056,16.331459617832756,20.391635356822835,23.22102981574208,21.685355499214428,21.993454907701867,17.670597327622247,18.819475728096513,20.92416427221973,18.215755570098715,22.749237105586072,21.497211920949738,23.229301172265195,25.039935936530398,23.11439158697899,27.000309485265838,24.36177625687568,27.088065017725274,21.247860874928417,19.09634585332556,17.042196161789704,13.856189199960708,11.66658343938982,14.041851062545039,11.022676498544756,12.418341878067762,15.721898790571688,16.173462218496223,19.57697374795254,22.064983110137327,20.435527078771,24.01913699283433,25.5119110151653,27.246042920237347,30.31578677926359,33.27183604524252,37.65658258029618,40.710388432885686,39.63917703398931,37.51402021749755,33.68439724795248,33.02750968578556,30.83482319512701,28.72540664908886,23.904655164262746,24.904070731004314,19.148268842736265,22.519383759133486,19.38911322107562,14.057592820471928,17.78098857505915,16.642199245787257,16.24570684594349,13.224186105871247,16.075804693966834,15.831728501700132,20.491505965036918,23.86376179689178,26.760779167801832,30.423483023723687,30.562781235157868,34.813538371563375,30.972804561325802,32.11159315824702,27.097533567635413,27.716517318315315,28.246875577046396,28.238460152595994,24.950966414523258,26.38624828950051,25.4782230129545,27.60753213616132,23.35167135742113,25.497857551193235,24.43069301572263,24.6206582332441,23.508437267651118,22.91754100984789,24.62370820638279,25.82371544283535,23.226190735802582,26.98968819606006,27.35213586332925,28.42252606004808,32.59752512957553,33.492350717026376,29.840170954103428,30.63170341850076,34.989552139183836,33.27032328439415,29.640458842749787,34.14095321991417,38.07498282349741,34.153439305109025,34.833423260243926,38.767533505729354,38.067442613145715,35.48030999155684,38.63584319686441,36.19689305474139,41.399936177534634,37.084864151727494,37.30947471420409,41.39882636378015,43.45999755081491,48.19631704069706,47.29478929779688,48.28482698092484,45.01729311744768,46.10114500556174,42.96153338160643,44.90615659372015,44.61748657997802,38.594315987309365,39.565467954493066,41.54108389273595,37.94965358869487,34.96792674633858,35.62072266493531,35.7534207162702,32.90651484454648,29.148833423192027,30.590373004891543,32.09252725422536,35.84126188625144,38.14459578873976,40.25871675911838,44.5895255541464,41.507979862581095,37.82806156609149,42.47224934045169,43.25538125497293,38.40225313473625,38.795154903840086,42.85075178436433,42.08200606834664,39.3642537879473,43.62464984123261,45.60277995419986,42.642035075535674,43.05972132807702,46.3475785171272,43.845288503319324,44.90539098200783,42.18647811232532,44.472779773989664,44.71891250831249,39.16366776737129,39.84636058022934,41.55007968411708,39.37921385223035,35.4335351610744,39.74454540331628,39.75675108094281,34.52061594031566,33.81311386806869,38.28741380868768,37.32725906410016,33.59388437433409,30.712541396303838,32.85110194407778,30.593772860780152,34.57030104349668,30.918765721068176,31.082230062950874,30.094299943679985,28.111000062323477,26.28897027232821,26.090506772892798,24.056431891503518,26.93860466782128,24.5502170465967,25.264059418908968,23.050254005508176,28.07465534674519,30.980714075604343,34.674584990458406,33.80228702549028,29.781670687842826,33.851580417408584,35.71197618125329,31.17536575492479,31.883955227055694,36.61636493346569,38.60499342172684,38.41113017691639,40.90437070382979,42.68653183552355],[32.525222795173924,29.46015437303198,26.826995203561918,22.88014071638176,20.390670071458274,25.2399847216389,23.70760863400882,27.3597791155314,28.103599720141833,26.009751346534884,29.378831866415407,32.0771740531141,27.36828120794462,26.810437370984538,30.299339854647403,29.85838729787339,25.48551073492921,27.598942114669683,26.261746051557854,27.15103435923345,28.50245586761994,29.591506248420536,29.75772544248772,27.07572276159568,24.931036514001256,23.451011992375523,22.24093381615329,21.595281142633507,25.532455921029715,28.015838764655403,33.25466758093578,33.306479886666025,37.8007875885014,39.04887849807148,35.17313785706819,31.602375999719417,30.75633596772157,26.75315250712198,24.017456752813338,27.136891558091758,22.559125441492085,25.956046573239266,29.412022368692668,27.720488099553325,27.4467321470676,25.93443056496756,29.97574086982851,30.671837627955384,27.13944224497427,30.791730051581567,34.412083984792666,35.6232572341907,37.906995322304304,33.30922903301312,36.650623754077024,40.19880991316233,37.55904462608098,35.62101752786126,40.298973678006206,41.62273793292163,37.04686124638528,39.552552083665404,39.52493723542215,39.2316563429863,35.32297499817842,33.912758437467204,32.50485328354147,32.00964289352649,30.241733372771318,31.361943289493954,30.277149777550004,33.418285889500865,35.03264997035872,35.390999734962,35.5890780978111,40.865484840619295,37.531804256912835,41.45316239519216,38.69588145732006,37.5344616628061,36.083987700004506,33.19638621900485,33.084251980441394,31.070391929588553,26.86559144426035,28.607194391297085,30.264400146099216,33.95582836168788,33.52830645440202,39.169122914963005,37.77822739000731,41.77006061106358,40.192819621406215,39.653468209949786,35.90423458687384,38.393596094512986,35.0514043513426,36.35759719230306,34.95496912889109,38.20726420269009,35.227553275330656,34.58335724644353,32.36978669991726,30.812952392744773,29.22009990640353,26.50401073048823,28.358589578713858,25.213090481868925,24.209609599117243,26.616881850464313,24.12010243947167,21.7764768185649,22.472830354245534,18.79293434099628,20.88067738933465,17.40742965762069,19.172119871631534,16.98785964536388,21.348359293695957,23.55748944364516,22.374168618758237,22.245822025224808,18.03742693780313,18.376833642080115,19.83156369221909,16.143203759255957,19.973692830935484,18.246246470663507,19.43617284059402,21.017210224375685,18.65503324941975,22.40099737093378,19.76964790172464,22.801814381207397,16.924923260736612,15.239260464855311,12.725268227235393,10.305674643971047,9.156367346534866,11.822619150118857,10.578312107332078,12.422947515063216,15.510383688256336,15.185356485482266,18.260804886963914,20.6426018891961,18.86233378760537,22.190751923846793,23.12412215183983,25.158604108799917,27.71700321259882,31.16638337299474,35.17052606730799,38.65373541328588,37.817762349441296,35.411738050363766,31.732360542943546,30.514837478157276,28.685038949258693,25.811721111052588,20.961847273237797,22.67076265924856,16.79084516825375,20.117782882428482,16.484992568627504,10.96922324071847,13.98933549857764,13.05144004783096,11.906469902207823,8.96025475985359,11.78650721054076,12.276775865151574,17.063191121265238,20.605395154927677,23.834585842685943,27.425490803296512,28.172764500161097,32.06570730580413,28.208251879330444,28.916349894037747,23.7765131102179,24.063897115424346,24.25180782237163,24.209623222602318,21.106183283423217,23.259251454536273,23.013998471280942,25.009137109586266,21.192145143020173,22.586989160537335,21.14261270190292,20.945230843075294,19.36155339354276,18.443891210271683,19.956496048491633,21.031387784406853,18.450201387986706,22.266278830808375,22.84497782812391,24.060442000686706,28.244760210960873,29.34577279005564,25.875094551512586,26.671928880472436,31.036623552212156,29.678630665027683,26.298719516599203,30.620000026677136,34.57819832073471,31.179655964669465,31.91840093638274,35.7641736389543,35.33818747565536,33.123493729433655,36.12296710358198,33.52472484701301,38.48933629180784,34.07485094946043,33.967707618932884,37.98472183338236,39.726430946824735,44.520814776072854,43.316542957017276,44.11727858072777,40.73183600081284,41.649005488854755,38.46753214444041,40.269862688369734,40.10430255078515,34.13287780465127,34.919661050134096,36.89868422955167,33.435842666862584,30.356976043911995,30.897543493145943,31.239930771528012,28.507202137771216,24.46326020104439,26.099599773124364,27.440553790641847,31.175464103252445,33.65558052980952,35.7853252184723,40.207107806843574,37.24019623908696,33.542849660991195,38.333162610987124,39.26263395476918,34.51551576466658,34.950376328734215,39.17187491741902,38.639657866768204,35.979646656994916,40.05328291514047,42.249180622644104,39.62787351930302,39.84565761479007,42.94854182382576,40.31364027578079,41.07935361976868,38.18437810296455,40.29849871347416,40.81200262648945,35.362702228993356,35.678925458355415,37.509036112450445,35.55660289777571,31.38410600460855,35.53493385585994,35.907716875609246,30.776167289405183,29.69744229323395,34.26241019358695,33.6798827461571,30.055374619103,27.46363201584186,29.84090450248271,28.020522356255356,31.83961920888503,28.44749335348232,28.14886889554032,27.51624263940014,25.95599686484965,23.7130674117254,23.33495132969202,20.879144971826506,23.253654236254388,20.948270819594526,21.169147135689773,19.376941430915426,24.75335293588562,27.53807385357463,31.31664696337898,30.712936220138566,26.86504400525321,31.01636363777016,33.12480810946118,28.88832687255834,29.748371412736176,34.46643157560311,36.73001026703968,36.52195846962484,38.989791634032294,40.61154725603699],[35.803160885889035,32.827223107652806,30.301985779868872,26.6844389212906,24.284718446610988,29.560216311941097,28.28587256261146,31.951660940989132,32.87680073476534,30.865398223821696,34.238177552982684,36.88719500770913,32.12703126984217,31.637177932230202,35.01731346175018,34.48335293278646,30.0501733628072,31.87849593871772,30.155213148436783,30.821591791441673,31.76896264407777,32.436056126633126,32.337399330491465,29.3464951432465,27.57718582953636,26.705605758550224,25.7875071358639,25.6812754835064,29.736352492847676,32.358844694866555,37.640888444897904,37.70506833631468,42.193690179906,43.21983778140418,39.25351368855896,35.60796634467163,34.75643629936951,30.39440441535537,27.42486707560221,29.754630610819298,25.10282222157392,28.91397775563263,31.946364313206097,29.923061855370282,29.03619201979724,27.06160029372954,30.87505665520994,32.2484063227848,28.764336035022254,31.71664865745919,35.76939329258085,37.04974768037296,39.602834896976496,35.32741758932077,38.99906378945457,42.31449886005215,39.568046522839346,38.18066132185316,42.90851784069873,43.79092359273465,39.48099188211388,42.30873294707704,42.673297459893476,42.11662367591048,38.061864923260195,37.05113226313286,35.9154154965702,35.85121742636131,34.175086818156664,35.63853157644063,34.47477100755402,37.5158193391651,39.18268273550488,39.20278621993121,39.60856115077035,44.644533982815965,41.13281101209599,45.12554527647042,42.199690968209225,40.69251357966363,39.365068273398464,36.12792260799213,36.3156151007777,33.88059779577646,29.695750403093907,31.964736545071432,33.588037831401216,37.56266653359164,37.18754947309374,43.01866179929803,41.782689296839315,45.79516814333016,44.44614346504336,44.063977377280686,40.458135150481844,43.03770399519155,39.789274116678214,40.99785594343974,39.6359944820782,42.8265968539664,39.656703976003485,38.84823789618354,36.446948413297406,34.73394696343335,32.56202478732888,30.05243329676157,31.443018189954174,28.020479323870404,27.340544472437987,30.137233651904197,27.983239400779812,25.912412159490785,27.011756449245055,23.416654054820263,25.657161572815316,22.183437532939863,23.724659540690173,21.17683604888149,25.245913467958147,27.8755290744646,26.847883874508117,26.954512931016655,22.777390238100377,23.23945776044909,24.654894825468183,20.81598515468674,24.190023258426084,22.315645847174892,22.987379002007277,24.194882270709435,21.16462990743956,24.426326215508155,21.53846514346122,25.18185837243725,19.441098436237485,18.71534558599588,15.707859056486068,14.373449264114816,13.78405972404122,16.240909711711765,14.802483131467936,15.646660326475779,19.197021164811392,19.31964450021045,21.913308055168706,24.726950152897892,23.228153332711273,26.663895578155927,27.511757334089285,29.7544940608489,32.09467697543652,35.74057188969633,39.56195476216089,43.197317737154656,42.463430840708064,39.94440533788385,36.30654684274995,34.86512049562924,33.07725332295479,29.883706274041938,24.886521058406505,26.575922145570754,20.61441515763116,23.341659909288804,19.020037070170005,13.418176772521129,15.536983927167444,13.250662561693746,12.402074156199864,10.941995458177773,14.110821966118761,15.645251514521336,20.032901413125014,23.77446681438653,27.22687574342439,30.935964747122707,32.089636408212876,35.567553807079435,31.403682750586963,31.905211381700102,26.441708447148866,27.17762037740032,26.438656575617618,25.77500837041035,22.95702952272848,25.0322996971592,25.207825524798025,26.2396095241069,21.910834121580805,23.088536574244422,21.281310644803398,21.640538007232127,19.705669291359314,19.173711856805074,20.706315750765217,21.528455964643957,19.653451675043534,23.58638817894899,24.439317919974204,26.40628358937208,30.234857926373273,31.95623871624139,28.74460894189947,28.979271917709106,33.42621568127183,32.64522414135302,28.9743191535965,33.00576864636852,37.37153955901052,34.273618447578414,34.66009203675988,38.491675011659375,38.54117785841125,36.18283471140178,38.76965714385084,35.91718000273568,40.782115346693075,35.608628638513316,35.78813459849064,39.83952921354289,41.10923469538677,46.05905315743659,44.43119344479971,45.45256468613509,42.09186490848959,42.9956486089587,40.08740180336366,41.34208163119569,40.998855370704426,35.34782905669921,36.0054726300406,37.319049455891786,33.916305374702,31.101608961262215,31.19129687312925,31.048750402552763,28.724067476135648,24.880311237704344,27.28144244099494,29.044905907652108,32.62721057118883,35.50269985885423,37.90654043561824,42.46810410942023,39.85586817529517,36.04172810554292,40.89587776252184,42.20275300657959,37.62069971726442,37.84116552269143,42.25591544662302,41.996624764455184,39.19050916290518,42.956529455044716,45.41332346947261,42.998807020797834,42.78599389948902,45.69414462862531,42.824036435420545,43.439980995449964,40.54863896944121,42.227543070234056,42.74567643836365,37.52033797109437,37.44779501759271,38.941311594642904,37.14858906335626,32.88638231304795,36.429903810472325,36.70813929089198,31.86773516754482,30.414112943969634,34.4792210877142,33.948389456826426,30.541641409831165,28.498790522002285,30.12048310939182,28.77809558163943,32.9531587526408,30.178000333119886,30.245140858512627,30.29443697653775,28.34555865708974,25.856633594321444,24.792808855013867,22.535170355555497,25.0781781233029,23.670181521458154,23.7599604960039,22.782640474289146,28.155608156492562,31.096970154832572,34.87461032311813,34.65760877838268,30.784308733750585,34.74538418904605,37.17546527330082,33.183168829506855,33.733606026728786,38.4987954380037,40.97053893311866,40.89798842906307,43.360216010571136,44.906929343811846],[33.1931164407608,30.29182848890466,27.9065489493345,24.580621240577898,22.41214460278982,28.034157003845504,27.26077630080722,31.11447732398266,32.26280085439219,30.756145687740442,34.29867713244568,36.85885425025533,32.45696026595999,32.048935038035665,35.75433705881355,35.28851120726818,31.06560078830361,33.36324219561383,32.12344732563486,32.86888859156868,34.17902176329588,35.01365145097177,35.14607766273835,32.302325416736444,30.296694830068443,29.134993485152915,27.884269364095736,27.323064633696887,31.15499534009941,33.401960898012504,38.886114245162815,38.59014332469222,43.141084307483034,44.541277948814,40.570398656879355,37.13214411019465,35.96413804153078,32.110456674004446,29.204944000645707,31.73362159864614,27.453926223365514,31.277204614261315,34.45766776737193,32.37941738905423,31.784173586677948,29.726762235721583,33.64502512644296,34.848508942577375,31.074630844088745,34.07202237508152,38.12512136807744,39.150431120678185,41.78425361867654,37.611664145100846,40.98645528284024,44.54857264264288,42.05085409047039,40.460002298482124,45.14640417415591,46.31829524640569,42.06132993237786,44.85385787772759,45.004061221281866,44.72503070690604,40.68917024425475,39.400682955782926,38.24272808493351,37.814678838973926,36.1155583551457,37.195503389638105,36.10092835004388,39.1998792933444,40.88310106826173,41.256171815176934,41.42206117175339,46.655567540793776,43.19673210450911,47.053231992417686,44.1439084268227,42.77631364108213,41.126931039840876,37.930958769153975,37.62914791272858,35.2461608514848,31.23152943647386,33.440441076522845,35.43225542937065,39.069419159644326,39.008681650261856,44.65069084285299,43.447380419864324,47.52379035278995,45.917837634734035,45.257928299022026,41.441981461296685,43.91350917636351,40.46099778274195,41.61127892989617,39.947827445932084,42.79770209983738,40.05587197821708,38.79493168166509,36.86911998501597,34.65106477866658,32.61351264219711,29.650039212098196,30.708593480604517,27.098100147399563,26.01928309610612,29.120852760933314,26.773961790620433,25.325932898730354,26.466157379459517,23.29157481218101,25.997541556380682,22.76893468337198,24.858143260049644,22.864657740805693,27.21980296912567,29.39032035462587,28.127150449082084,27.78265951979752,23.457499822244344,23.418113357964078,24.290052467136352,20.326618271476438,22.92618541370139,21.415602532900024,21.90401385126152,23.604955599628248,19.910550077891244,23.350506246517284,21.002836249587904,24.933523012281544,19.19857750760056,18.469093786552893,14.5551574368285,13.992716430119277,13.957630422891826,16.993007083269674,16.37260199010028,17.98345967894394,21.262615504825735,20.84838873159467,23.67934998302184,26.056487465856538,24.19529027719527,27.222881937082402,27.641127873274886,29.539011529704588,31.513405907274265,35.140328198889144,38.89276890021276,42.367951122128005,42.02439044244362,39.68234894609498,36.24481952989732,34.64177892847619,33.34079256272426,29.84669741858464,25.23188503866737,27.571899454721837,21.740763282395886,24.805899148607647,20.56267727280027,15.03240737453521,16.672465543982426,14.746841228486785,12.860594970389265,11.51485430618689,14.358476374938896,16.253340166273595,20.874366589332922,24.552050305324954,28.085593059326257,31.543893439915635,32.84908084244371,36.36598377329449,32.483681199964224,32.71379782172209,27.414054964365835,27.407901603247453,26.836359108226386,26.389559246841824,23.777812528489267,26.573103672929278,27.09116449025364,28.292804049690314,24.351827061535655,25.062927390763843,23.00050356584743,22.888806170999786,20.41821562110488,19.303052449640305,20.30446794415357,20.50159279228192,18.162482823551247,21.85003917684682,22.201488842393644,24.49777167143842,27.973892597038148,29.929752619312094,26.7085720916073,26.43440167246814,30.93172416707208,30.300057165840734,26.261017010888363,30.189128444260618,34.80674127438918,31.68756905210108,31.81488569225787,35.65245376349591,35.94924365847827,33.43506053603945,35.7834399673763,32.83395007218651,37.68411657824939,32.260602625792764,32.62424961757331,36.71280695696977,37.975910542972045,42.94582975142209,41.386268859702106,42.630005124576364,39.401239142114875,40.535351963879066,37.85651113172017,39.14729801582562,38.488398588108616,32.84657316516233,33.84047092111123,34.997516625261824,31.350852831558566,28.754168432626876,29.137931970573955,28.553977737288164,25.994539471010384,22.72949366668888,24.822752927150294,27.259971444826352,30.765232875822118,33.43225839791583,36.15485058467827,40.63209716766205,38.29758237480087,34.22389070112422,38.83794311007742,40.4184782695505,35.859885537864784,35.69125836038358,40.13798276715793,39.95971069314705,36.921896713402624,40.538788402414255,43.07451144482235,40.65281661878242,40.167828979585394,43.030174846389045,40.07986275195798,40.81131809838313,38.09452244990748,39.67885909239917,39.93636621211943,34.746480679875695,34.79890228751878,36.03160974982861,34.135317641436075,30.009502827982704,33.52792703583129,33.51388950729767,28.668647928296945,27.40251870980292,31.362416656492428,30.598348881739728,27.15736145914859,25.09594829452089,26.56722306647889,25.2237179645153,29.46551620784734,26.840414294045864,27.0940545603118,27.42870507720141,25.276886561030494,22.709437158314714,21.41802867007182,19.31565407528331,22.09465056396243,21.16006663127609,21.5988547972427,21.0259982363789,26.055307563581913,29.336515025693974,33.02341348314886,33.22652295576359,29.081324957232606,32.71347400365489,35.45694584354644,31.734780218827165,31.772598356547746,36.57864584649695,39.27221592161543,39.430141519026165,41.929910968048596,43.40888429575853],[38.09538065012035,35.34053118424624,33.295794202401154,29.551549213880335,27.904371149511963,33.187013609700394,32.2758855474909,36.20107650861154,36.89373851143619,34.96779857825716,38.330660226239274,41.21013020283505,36.57538771714325,35.69255850948827,39.24319379107809,38.950275651763214,34.45222584110148,36.17771226662342,34.115390805887856,35.087032154778804,35.69684950339093,36.41718956521292,35.90943686196277,32.68488017768518,31.39235759303049,30.59899857341446,30.130921546015678,30.121778782889454,34.29522816137672,37.07514306919277,42.08982988326068,42.442156085813934,46.89448000759299,47.87153099136351,43.99492336265069,40.2434756496881,39.62016152072694,35.10874680010299,32.18565167657852,34.45480206762377,29.548987365966198,33.2315290980314,36.17591557412379,34.23350371260685,32.99602197224787,30.988499659621638,34.575263058991275,36.30571985944714,33.06257122257952,35.706603854986064,39.907844820815605,41.34481403079943,43.939267026380485,39.698820878099475,43.59728271419305,46.71820989805664,43.779016902948165,42.609703476958856,47.35197251495935,47.947770312633864,43.593561096827855,46.36628801610356,46.8781083487637,45.942199684384356,41.98512065340621,41.25261641194559,39.82582924387393,39.98656922936487,37.95858805604142,39.52877001528221,38.0793033233486,40.85286068920313,42.885340031394236,42.88783169582898,43.69469926592217,48.731785576419355,45.41176237552767,49.54579333632614,46.72732362501597,45.2198592398692,44.132283173126574,40.90846120967856,41.295070039696675,38.82933392697838,34.6103148049233,36.889538368273016,38.30335123861173,42.41317559400466,41.77136337516716,47.65353656554052,46.23015495717918,50.08219596209319,48.77127547088937,48.507647748046224,44.86810200473137,47.29405225914425,43.97723225984863,45.54480758959285,44.22022501926744,47.48323372237123,44.50120995391062,43.75275061471239,41.45905599172442,39.725541314726456,37.60575496128131,34.98324862487854,36.23012127875204,32.685398122236236,31.82140404210983,34.798955313516814,32.454727881659984,30.656626979408802,31.531733254174355,28.023607424044528,30.08016035921303,26.50659715826248,28.02281062264077,25.035338936766344,28.975276327511814,31.9208307629597,30.647209334748958,30.859944421820114,26.523066713986907,27.191269741151597,28.65916801685796,25.145616250366796,28.38449097604048,26.886738177368855,27.58054577625014,29.03697372629184,25.61800366814232,28.8468566293721,26.112288219335657,30.005407598375406,24.306937256726897,23.657694849661706,20.24164585441675,19.110565465220677,18.368674669679322,21.03720477090903,19.050872918374726,19.71847495073579,23.45544922986977,23.888329966176425,26.608350841483606,29.493492960159323,27.988100239522474,31.457960449724578,32.36855774855249,34.38146385663093,36.745818582439895,40.21951419619961,44.171840253565875,47.55577105661616,46.95180249119771,44.629850724027804,41.005055888378685,39.68155980748554,37.947311299211826,34.84413552981818,29.920222226061455,31.56369480611153,25.593045270881746,28.304992651354567,23.95071696477296,18.365566858144117,20.35227570501273,17.586383304145716,16.861072881831863,15.876332127751471,19.05578714214049,20.71301946132822,25.104773055925122,28.85917462911702,32.30928620543096,36.02879615925315,37.11909834813395,40.648352390727716,36.450730516039236,36.96551292080812,31.45604510279155,32.230182096817956,31.32982572906025,30.481730888667414,27.793436479457775,29.759179118248497,29.931779483186883,30.608731857263944,25.94230062447773,27.214122630172938,25.314309507709492,26.006127084722653,23.94295825978593,23.531956094604364,24.913395312477668,25.357048227582037,23.609740556256487,27.392990068135678,27.96136239206668,30.38320691702339,33.81033161097559,35.860657455548406,32.65643542173821,32.30252116371559,36.80530027602694,36.18900155612847,31.98039478593733,35.89440798471558,40.62150021117309,37.3288185229925,37.31212737617409,41.19046572404639,41.48813453713106,38.69253009234677,40.98000003422849,38.033122073023215,42.975029022244875,37.25818146154723,37.97962766813681,42.1032014589845,43.2879741693994,48.28719430624094,46.640493165066616,48.07806572654838,44.92359710954085,46.07316741341605,43.51658151525462,44.54180526643435,43.81236636507315,38.37551785759057,39.276229707978345,40.06047977254934,36.49641659625756,34.07906825215705,34.13808942273682,33.275053052789715,31.03062912590107,27.92279082744068,30.413559566578154,32.88324049273945,36.32529786164169,39.17731915481545,41.907810054143994,46.43673105310341,44.11632222636005,40.09475652904787,44.748021266204,46.339354469845475,41.78510322208976,41.63055385865709,46.06870791524771,45.85728983058496,42.78450770309984,46.40898176494096,48.92282903835555,46.394151155008466,45.89152620411381,48.778876069943365,45.81013350255225,46.610129197536416,43.95475902602536,45.42615073473446,45.59741296628326,40.477720502707086,40.503346496160496,41.530021203877716,39.62882050514361,35.59036733128681,38.82203533689332,38.58929988973625,33.91046530957166,32.62897876471148,36.17862825137597,35.25223265895351,31.94118816148157,30.060692491745076,30.867300639379902,29.536775875693106,34.05255471202208,31.61290150970336,32.36064694973347,32.73554996561267,30.146448105551727,27.786854071103097,26.322595709472033,24.62354241125769,27.723651170948845,27.00252785320722,27.54512166098925,26.881912007101217,31.879150001091137,35.18810877686417,38.8795529331436,38.936408319702394,34.753951700643974,38.39461297016072,41.03713621977188,37.11666503817928,37.10689602807402,41.95827508203824,44.509723933666464,44.65741406520608,47.16269254863389,48.73569060407295],[34.36020092855485,31.791824160752004,29.91835444049727,27.24357471064562,25.7600587316843,31.746670059108272,31.76588967675805,35.798905791833825,37.169232003302575,36.23365045120336,39.890463390279024,42.388276683759344,38.3705688474145,37.953700122037844,41.92478577157381,41.54546063674092,37.474792427762274,39.993177407323344,38.86646227927506,39.65299347600951,40.965274053538,41.73509422302677,41.809386868006385,38.86609609440457,36.987782135241346,35.914622928009756,34.666528979114,34.03238770810205,37.768891112291136,39.80348112128181,45.39586195363117,44.86323859073213,49.44010866459821,51.04955667994309,47.05755270126772,43.74311661662708,42.35859373976925,38.72739955392593,35.77650463725127,38.02291469316635,33.97047265797141,37.9714505360376,41.01995575099682,38.75174542825262,37.974740098314626,35.608896034012616,39.380447820300496,40.91168148774802,37.01919053489491,39.53025652360511,43.836299189146295,44.6986415718191,47.5581353423404,43.71357813160737,47.047886761036665,50.630868962148604,48.25840321526297,46.875785716814036,51.53749000380871,52.633384577637365,48.58273993956488,51.51121453077642,51.733585465108014,51.45162218462655,47.375800011589966,46.14221557632148,45.033740599152864,44.58131531283428,42.808112162036394,43.76443211800988,42.607144501342255,45.6192926061998,47.45587478299128,47.95733134769841,48.13798674097222,53.42121745066129,49.962881685688146,53.77291053347422,50.81437469661635,49.37997719053016,47.57414640505133,44.228923368837464,43.7077367176922,41.137120236616674,37.31614917795475,39.75087345431388,41.979196576012114,45.49620118513455,45.67609012423307,51.2592887973785,50.12324870856587,54.222273026964096,52.51705434326698,51.720011259085595,47.785254899995444,50.15149096754782,46.55000003334269,47.694580075108085,45.78661066186239,48.26877328369801,45.91246596015109,44.14458712943289,42.61895960047318,39.84603198872252,37.64233597077231,34.3960724157012,34.76610208138818,30.867525913802055,29.572616759864047,33.1731158628309,30.86012514572926,30.297495685587634,31.590308996004243,28.929129169496456,31.990484251683554,28.966984736472337,31.353201987383922,29.48299818950014,33.897381464696856,35.992144803960144,34.54237284430431,33.97313259588872,29.530435151916695,29.212294564541562,29.609402313472433,25.689690499672846,27.226186326785907,26.159512707829027,26.17499051730956,28.119489044095733,23.47110495798528,26.547346215728535,24.763228800837116,29.234289407411282,23.875270614043302,23.716964858723678,18.973710475863644,19.61608618036515,20.085369635102577,23.39252944562149,23.051980649593016,24.71760983416451,28.053627414811192,27.54491386381137,30.361658917343526,32.61699744959112,30.616686980451526,33.346036894246865,33.36653033650893,34.96439961892176,36.4440989234381,40.047489254531854,43.6073574536964,46.884326661706105,47.05139031156622,44.90711131097618,41.73237891136218,39.90105553328654,39.115914121940754,35.24352304688427,30.99951859741824,33.82506695366892,28.121964612423994,31.119478518878488,26.660323363994404,21.303693846329303,22.091630570618825,19.741312101732664,17.414937840742223,17.162633436980077,19.68370612440679,22.229097295406174,26.67620489583079,30.31608970816875,33.97339691341183,37.22659731458717,38.86336740193253,42.15932360356438,38.39139956578242,38.254310752044255,32.991803165449795,32.58551822607158,31.588561722355518,30.92468987568583,28.799303451283933,32.07948852591157,33.11818843666336,33.80733356301708,29.896001731532632,30.079406234829012,27.59046288028259,27.49502263860743,24.40405547758195,23.087862470206804,23.458065784904555,22.669980624396956,20.5834490844936,23.716402101732204,23.559296699546504,26.799305327305014,29.277002004601048,31.996128045773762,29.092757150238548,27.620503420028395,32.05377024740096,32.109961781630574,27.411442397934596,30.759378149109068,35.96304634082199,33.07521668322279,32.47018949516129,36.19325820979027,37.23187047930889,34.33898879886841,35.89118814161241,32.67607366816033,37.30795712495828,30.875354464703047,31.930980310498356,35.99700130015965,36.79104458091084,41.82878397951865,40.021149930732356,41.87098893709397,38.99183670092239,40.47516509872423,38.49875598555939,39.27783192638371,37.94694389885517,32.83249107444363,34.20367974911115,34.37604296505678,30.52033356709478,28.697594652783085,29.05391217660218,27.205930916018772,24.846276977960652,23.031044584772122,25.25625773469924,28.96388128366183,32.05801534662976,34.66880894176345,38.005904334508394,42.36129414472783,40.76547727644312,36.349540905250706,40.53198364348844,42.76855932000517,38.47355962738852,37.57949502843492,42.09782216332425,42.230172477031196,38.79926020285016,41.87331865337416,44.66231579593596,42.393383821316746,41.1714674472321,43.75909526501137,40.55853646900089,41.36759809729115,39.02231190358629,40.03598568455489,39.83305672946365,35.05081521152278,34.9874124909901,35.39549106178188,33.51280101545176,29.731429427329626,32.45129961482291,31.75208240581786,27.40333252486507,26.196188171584435,29.18259721493133,27.991998818318642,24.875895957540333,23.474334649263835,23.580165354821283,22.776822627708487,27.396797367228114,25.77970994294344,26.850107331797403,28.19336213288146,25.35036690015623,22.69631852178699,20.44604347468621,19.150800257629268,22.37756242511839,23.034544490058412,23.909619349395452,24.442479964393886,28.695444882425,32.43914800342309,35.87450080429258,36.87085885391936,32.44407625915057,35.364789973867865,38.666626212624195,35.50633002188155,34.608142398059584,39.394981837246185,42.440625823089384,43.00958267865254,45.512769736758585,46.85270056578904],[33.58214286931598,31.12470618229929,29.667214788371975,26.243907763669746,25.53510228166799,31.009986819862885,31.01877591424906,35.29594347976584,36.103676648168744,34.99549713167421,38.56230680105654,41.41776818725882,37.46284273089265,36.48401483473495,40.62030640576649,40.58650174059976,36.42223658052569,38.89111465965943,37.54503001925275,38.836733431529474,40.00297029240436,41.15524259768301,40.94144495555615,37.94261256295511,36.303338392770236,34.890976122363746,34.00001893180345,33.19956905409644,37.055237701070624,39.29844764777512,44.45540627224154,44.39699958454644,48.91045771661042,50.519893183934954,46.718890932671734,43.25975710373576,42.275124730891704,38.5672374360713,35.8261075846872,38.65836957495647,34.15354923016776,37.70526364657771,41.01862705478029,39.13467962910843,38.41245702216097,36.42906379828596,40.24769640292228,41.60355715500878,37.97421282163347,40.90011441552937,45.016802053945405,46.12460901747517,48.75864884602008,44.50500282891548,47.958029363611416,51.48155939062262,48.855364313412295,47.23655075712741,51.934572234448815,53.0393312176047,48.60336894605046,51.18942222496321,51.278784313476166,50.71442927939081,46.859641788463726,45.65523606816369,43.96896496464492,43.50676367192374,41.262083087001905,42.163747918389156,40.72776342806548,43.50289949515826,45.70024522468147,46.37084721767151,46.9008682176805,52.343716577596666,49.24969781377677,53.21703704279159,50.532651970309644,49.369497400989445,47.84907853651389,44.8166177435231,44.45754054793308,42.21234679226006,38.19350202814509,40.20257858182909,42.07974135679566,45.65557077737036,45.342097257587824,50.89597006494458,49.37551047936997,53.24476432583787,51.46238080174505,50.763785457378205,46.74150808609138,48.87795234705004,45.19313780944254,46.88212459609236,45.10936152126485,47.891183338056635,45.75636106226873,44.43264777314569,42.993999751238114,40.58299789748384,38.93381582526429,35.54480684376031,36.40664738060005,32.69236682037087,31.03415749142509,34.337063216859924,31.50758709063415,30.701462980102654,31.33616816160893,28.52691624101431,31.053882270225575,27.843302692744217,30.173481010497373,27.929356664179565,32.31677379996181,34.56775526567234,32.79305713872909,32.30231677151321,27.723916581606126,27.71308138292459,28.392914314158407,25.05069025728034,27.15935550024376,26.518146167405998,27.142210788801073,29.526414550004926,25.321725793024083,28.88967098515121,27.12105896310685,31.245226498327824,25.594662793418173,24.667363168383712,20.16072344912076,19.82096364520933,19.560592417040848,23.028504298642464,21.930133502931543,23.80746720144015,27.161707900538225,26.849426245402718,30.091047682614192,32.26744577932865,30.171304693245148,33.015302032012706,33.3660049443386,34.650908931273236,36.53722266127561,39.751730890645995,43.70204347900739,46.58530160815746,46.62885496983691,44.75826615546184,41.46332842018965,40.06620310259831,39.08023439997183,35.74368130663101,31.507063845824714,34.02429321022503,28.27138786846406,31.629747605641228,27.552651715094214,21.983082686227075,23.669364208662728,21.563814298162857,19.541459908925134,18.401808991965442,21.111354751483468,22.933069892872602,27.724819193164606,31.329088595524922,34.80258536794979,38.11979908763171,39.2379333309649,42.99864347133375,39.311904884701,39.52679002674039,34.344438935627494,33.94212511097076,33.55620776530354,33.16612073986919,30.69164644049124,33.63332468192085,34.11856472791548,35.275976347605514,31.132459642051014,31.912585375672435,29.7307015865992,29.708172898661847,27.003745768447928,25.731613390375898,26.334992679948815,25.84423014626135,23.285789481454106,26.48029344877004,25.999114879223228,28.79628160047753,31.505154913565544,33.79798280264574,30.541839064684094,29.268524200831383,33.745547503332176,33.21536557205985,28.27139702949419,31.983185214722354,37.09106685703228,33.534228429293066,32.96654376342793,36.836216539377205,37.479305983445755,34.21417619232295,36.05496224561918,33.04245095415603,38.011261719357464,31.91949448295576,33.22022703533744,37.38979568186238,38.7423468265616,43.68409160708761,42.37857496169223,44.34214465345028,41.56784139069946,43.25062130786432,41.180952008277636,42.37679345468703,40.99061804147221,35.61683551223563,37.25895830777045,37.78272146508272,33.73840651675784,31.839192220998243,32.56006244524753,30.79756479938848,28.06425749925992,26.326263971353306,27.97453813666733,31.66429382901076,34.91539879233528,37.19815850053327,40.45684012911709,44.71237810735287,42.86314543789262,38.42478460612581,42.48164487843867,44.482590678182795,39.966410085178744,39.06562155087947,43.41388511885302,43.235510619936065,39.729853205525096,43.11781350105716,45.63903827349766,42.950974091243125,42.02429301948995,44.88546193853697,41.870001809002815,43.05235614053583,40.871428123554736,42.250466464223585,41.7545433236486,36.72152860264649,37.21540049391185,37.64870109217985,35.439575062300236,31.902924233997556,35.135404713995634,34.09051081926203,29.438922536934,28.83284472744149,32.03030818584057,30.384876588253572,27.00543113092778,24.942760870027698,25.20599008295358,23.598374916524396,28.284343164699088,26.070870776670002,27.507349249418045,28.261647422367663,25.050801478041727,22.855505114020243,21.05587392464288,20.089604421652638,23.860063483242904,24.00841550121386,25.440866634777173,25.25913609483376,29.32022905961095,33.241416620074375,36.66070892427211,37.36512940713123,32.66711194678837,35.58788094989509,38.674221851917565,35.184587835515515,34.130825464046914,39.00266064911471,41.824818651276765,42.42173350204917,44.97656672200086,46.47229778560415],[37.37101218756742,34.96473196159808,33.608969412803035,29.892721057800397,29.294020910156053,34.54559727767864,34.319715510981275,38.59131595759168,39.12202521431549,37.65696642197493,41.098619721188236,44.14654851872286,39.963337964989655,38.724385735796,42.706267086585086,42.743883361920325,38.37836236079173,40.44885301591932,38.56844390190185,39.96336397196643,40.684059521106015,41.741486967246985,41.136890590945676,37.918396761041826,36.71665467947571,35.55539337119175,35.134952934883394,34.70889137498616,38.791083925777,41.39582473377063,46.27643885187796,46.638279849317684,51.09603021429582,52.396749639204224,48.639643849148456,44.96501459747092,44.328130760712334,40.161946315952726,37.39116913083109,40.04540732540241,35.1563870997503,38.6312911529593,41.785851223118804,39.98025948902848,38.865709425718315,36.917421841287165,40.53060148256442,42.20203011324322,38.902732950270725,41.61858471894509,45.820260873223766,47.193097001122084,49.798641828934954,45.49934262382266,49.29222632930848,52.527755183273754,49.617449703793,48.26869331236864,53.00631471243634,53.738788558667416,49.244620669674674,51.82339518164502,52.153127684607085,51.17130448623877,47.36603444318116,46.51988292688056,44.69190219978913,44.62141952408824,42.2037748361909,43.44842009408389,41.80329318149426,44.38015832159746,46.77006451196096,47.164441367847736,48.09904733579153,53.390969720548895,50.36544674129168,54.511730747436495,51.87202123806655,50.60153556951311,49.44530421469074,46.380799374951806,46.48269927837477,44.16953627054931,40.00085838073125,42.07368634696846,43.5840932845062,47.485043058056064,46.8016106915456,52.52882912095939,50.88262080350424,54.61660798280389,53.050208319695045,52.62796862379575,48.74462825904553,50.884938608987405,47.316553447266024,49.24154009961985,47.71546830146917,50.80530295074182,48.42407419963729,47.46639694884018,45.70813778400074,43.65059121750772,41.89424966479049,38.77541499882882,39.815203520022585,36.14242108789479,34.71109871100517,37.907171475386534,35.13410440704639,33.96513734475179,34.49546917061841,31.382486637961087,33.50496140179189,30.049228825318142,31.976217809525277,29.117761515775225,33.224133726251495,35.97066250658553,34.241324555745194,34.14180231662253,29.58685718745269,30.05195456266986,31.1740301559847,28.027127433625477,30.685387871290914,29.892811631143932,30.648895838113678,32.778888880615675,28.819836822743664,32.27300464656799,30.130971249037852,34.22758553307514,28.518069265326197,27.64544998848515,23.515122596426522,22.736395915078145,22.06470780362707,25.266250687468823,23.38821533010326,24.673880493431117,28.28712892832327,28.486506767445405,31.62710258662846,34.15324112053375,32.30571056090137,35.480211763432564,36.17596728509511,37.63266400952037,39.81667264232859,42.99116112949525,47.07210417934322,49.97290128342702,49.77580591405374,47.8552478655848,44.398047858156936,43.167954351846376,41.83370694537869,38.73379246232312,34.207059473301115,36.25530539224328,30.367496386976335,33.49448352414687,29.31568016144789,23.67002417468817,25.59423468173408,23.024675312231935,21.673902908458167,20.652554275944656,23.640272867914323,25.340836813009354,30.02789874317308,33.720371507999126,37.16713122066516,40.69422077389833,41.687856938410384,45.45246931405953,41.52066903562243,41.932893486147655,36.57513272225705,36.72968587974308,36.11837495679999,35.469296065020586,32.90048976099633,35.31239243483965,35.57120913837096,36.42600586403666,31.855744155579313,32.986268400620595,30.933145193874214,31.38421435534019,28.955014790527727,28.129240586049836,29.048969558769354,28.841192602873114,26.672429019260417,30.058227629070373,29.87935044240809,32.665975338855766,35.50335652571561,37.79499431345886,34.537457577471194,33.40345374789833,37.890512574096526,37.3363496621517,32.4402331085996,36.183020673923195,41.269979973472886,37.651640694398,37.106211764065826,40.98936954193238,41.56024703636426,38.21821965576368,40.09831442361189,37.12289898720606,42.12226506744189,35.97335368349713,37.37519127003458,41.539208255701254,42.829072632260214,47.77361613639666,46.38561382608171,48.37795062341851,45.591997125018956,47.20337846942985,45.11995625912552,46.1555464813143,44.83124981521272,39.55310350427589,41.02936160193876,41.40334552664135,37.478964581458634,35.58422213777367,36.031195594063256,34.27643534618476,31.794682798328836,29.8808340843801,31.878695295126327,35.36883053705081,38.63885528393464,41.11249662228229,44.293905380008965,48.62798834372279,46.7002001451823,42.3442215837489,46.526417228045005,48.463860502805865,43.92738234327066,43.157514896185404,47.5157447446491,47.30431716156213,43.84720997912572,47.286889642993565,49.78574992936786,47.051895408435534,46.194150829544746,49.07749357149344,46.069241129368045,47.2373430417524,45.01841048114805,46.3603252499281,45.91644552969688,40.909454408990364,41.32300581494395,41.74266577591259,39.58094419115562,36.02025837732844,39.10044863578586,38.06488683549775,33.52139808586198,32.80159522587334,35.82217065894983,34.207626154768754,30.94041868841772,29.01718771205368,29.002828046374848,27.45745203693061,32.20521397091226,30.071936187477206,31.651970660537575,32.331937540838865,29.01724216618436,26.94804614606375,25.162658515086026,24.274053170217147,28.045038400219553,28.103482031267035,29.4149080011234,29.068889481764224,33.31274333005802,37.14806060551157,40.62543146284675,41.134961110680756,36.488469155319514,39.54379110911969,42.49488866581208,38.8133049558194,37.907838214125746,42.79683605213702,45.48888747679643,46.00962083855404,48.56352618250375,50.12685443541086],[39.03386997852417,36.958926604091154,36.13755993343702,32.625673300847616,32.71203623195664,37.904326811044704,38.147677489329936,42.56922308855454,43.032290668824565,41.87046745521283,45.32577522916899,48.44320571058401,44.54284584616455,43.11825913354914,47.300454167497925,47.512913755429665,43.23190771900159,45.42861734699795,43.579634603009566,45.16308239917122,45.85882170382519,47.017505405192985,46.29988174311051,43.03831696474893,41.9736412234191,40.73534732716078,40.40024945566277,39.85111134104846,43.89088797218984,46.417972670115134,51.20965171040081,51.58425101293315,56.03000288574704,57.47160841214802,53.775481581601895,50.135867081664514,49.49562299208167,45.45966728846588,42.73663272777924,45.44580628278962,40.56314313115749,43.98841898441197,47.1651503045041,45.375591224387904,44.201495647929946,42.20318757280343,45.75224808052419,47.53594636441464,44.23905692443137,46.8252970089711,51.10656848312267,52.45783095889771,55.121765803100246,50.8799478239679,54.672735366990786,57.90878473228532,54.99436499711626,53.66994527456183,58.404630326944314,59.10816538276347,54.60048272817971,57.12980847357746,57.44045741950047,56.366751924056125,52.63051672389722,51.81280299058083,49.81085081151644,49.70157921608676,47.084549488965926,48.20624114069297,46.4373638105372,48.85479566383387,51.459633199343465,52.010336698549686,53.069254339418514,58.44416961990217,55.56653733942242,59.73105022889759,57.167848215566046,55.96480141803601,54.80165116568114,51.762098411183935,51.76839607568049,49.462122142036385,45.336403519806666,47.389573199155784,48.93941595082699,52.77417644249678,52.07350391388058,57.740718361509884,55.995538305746706,59.65115693662442,57.98700851061769,57.50758000187569,53.521658779210945,55.49971558015973,51.81543232666404,53.93130375797293,52.301365526909144,55.260948186556355,53.21280110918774,52.1015894795095,50.62855770048728,48.360213629921994,46.70815209958678,43.36623525268331,44.1805861876715,40.42113484551834,38.745333860633764,42.103204637998324,39.18404383862728,38.43884361469925,38.84290667340165,35.99439950508947,38.156251999825166,34.79427669569764,36.88119172829884,34.05764369910591,38.15808296734952,40.85687218904041,38.92048830686411,38.695246256407394,34.083511162225086,34.455070423862914,35.36642780183429,32.4430132504582,34.659097131992866,34.24517878946421,34.93235864309003,37.33332053959281,33.02456824944631,36.437609020731976,34.61910621466161,38.880683757166935,33.269221966293806,32.44643385615879,27.969598659314105,27.52602047666087,26.956783788596077,30.340327716777757,28.51455141175508,29.940856367050948,33.52329098532883,33.676439373132695,36.935480633811274,39.337640633103895,37.36803062656765,40.38829986459165,40.94973762275361,42.12206008227566,44.14215875101848,47.150316870041884,51.23973167276079,53.85146837266163,53.93311803009572,52.24837411820436,48.91983209030668,47.708032821902314,46.62066012184869,43.4795139217604,39.172995735835045,41.42084452291026,35.58610492129413,38.81566617680005,34.63959122512906,29.006305035599418,30.75606670580271,28.12913282693015,26.571294821016554,25.756591172916988,28.6339066096364,30.465830946504152,35.195488209735366,38.86316708342627,42.32951606449277,45.759003561128424,46.77103543871658,50.578019010039995,46.74652750394675,47.06142241572152,41.74980984996041,41.649683468273516,41.027123803209456,40.37175048511292,37.947745201796835,40.5576061814501,40.93647311568821,41.695566786461434,37.11517940891409,38.11833716417998,35.9375454868727,36.373463049954914,33.72616016916879,32.77399512941269,33.425114435956104,32.80037923033269,30.607342159954317,33.67852237055518,33.11017908330712,36.21234367571926,38.5267712331338,41.073391253530104,37.90827978037992,36.17300367492892,40.557064752600766,40.19864067789165,34.905156256801064,38.348779247511374,43.67345098236195,39.98607292500535,38.99643996884361,42.78647226961137,43.66536930583691,39.97462976037646,41.40043802720558,38.40782794095389,43.29771783831814,36.7559756468878,38.7137836361395,42.81257184052921,44.00946165402903,48.865357291899585,47.56198399910218,49.995187915215475,47.53373807996379,49.4418176272711,47.797409110990436,48.67096618718724,46.901677252274474,41.93471238115574,43.73796019862021,43.63192939128705,39.56673037758705,38.15943565107048,38.73117284730473,36.2722925880126,33.831231081027916,32.848199312313994,34.65359562114841,38.80766185778929,41.861185036006894,44.14216719214772,47.63860050384266,51.82457322889077,50.26590897613726,45.72158858742454,49.55100665139591,51.79017326564658,47.35934848689601,46.14588586959581,50.43757842843934,50.29738638295275,46.59428604110747,49.77678712902062,52.30044351464372,49.51520059051007,48.30870539521458,51.09221740248915,48.038070040282236,49.40682704453355,47.52801877746592,48.63947567108466,47.768601207236614,43.00070861570439,43.570123739993704,43.45528650465437,41.201300209023174,38.04931801281855,40.76404140718501,39.135454886277124,34.9234751116552,34.5262713880864,36.902198725880524,34.83086639766091,31.79533539839608,30.101498321370926,29.195020114407157,27.721805586410724,32.552628895523334,30.940559812185743,33.17984796083618,34.23629056191681,30.432020201398494,28.6069604733575,26.498207623436272,26.29791042952384,30.36955352839125,31.144030006574255,32.85122927129605,32.86243084391822,36.55108132076973,40.66907402951158,43.954574664716894,44.829986466883476,39.95822881052071,42.54544457824138,45.724590157902924,42.303348735710706,40.77266594496154,45.61717817051521,48.414738860755236,49.20539715275265,51.75973310947893,53.28182206404683],[43.801715783965776,41.66169661746127,40.67557497196592,37.06883210138626,36.85721456289687,42.056658302053386,41.991578715833505,46.31613012465722,46.7200302941063,45.21985475918395,48.587420233760824,51.757182087549374,47.56054953586095,46.11175947600812,50.04478787981448,50.17587507351825,45.72519147255146,47.51195503339074,45.205499693117055,46.67260517567752,46.955871070610755,47.842111826097835,46.83498475218102,43.39273120434648,42.71073420540022,41.885953941530445,41.89101827858624,41.79565358186269,46.00299149964225,48.8229023435345,53.49089281678655,54.12036078268404,58.529288104943156,59.62261003460367,55.90197436126502,52.099147726597806,51.67462518740715,47.199085300288395,44.377989617850496,46.667250751791016,41.599414495480325,45.0753336613845,47.95057001729899,46.122801141021064,44.54515026535592,42.48140538160441,45.75631760484247,47.892478082567365,44.875701056728275,47.08256774143305,51.455751926736276,52.99988194850273,55.686200249319135,51.552799649974396,55.65683944974808,58.587644374331255,55.476454050341815,54.54389715777814,59.27950117761409,59.56905599686209,55.180589940374055,57.81985451592356,58.45248869143267,57.03931289602104,53.299794038245075,52.861789032766524,50.96531675660326,51.281705128771925,48.701955139096256,50.21684424327491,48.36439145439642,50.67323700827623,53.29702727115471,53.46535182864152,54.79577072255806,59.91334918093629,56.963711232024544,61.24095719573616,58.6213080039859,57.194655570667784,56.32498395377634,53.151839732769076,53.59200417226955,51.11022417266248,46.918445095753526,49.17874437064725,50.46041470519537,54.603783828793524,53.700041485596984,59.548987165503576,57.833553605891936,61.43316152026171,60.04947890327712,59.83521503419665,56.04773294711006,58.13853402537947,54.62701406935083,56.752537358850326,55.34244885221362,58.53037424267477,56.097380986939946,55.227882296856436,53.35043106282683,51.345578180272696,49.38096201565984,46.39701633107271,47.266800876729945,43.49928501687787,42.197765853046796,45.52604188022965,42.844455675309376,41.757903948150975,42.30005614826317,39.16392110438357,41.12561990459271,37.585354610003726,39.286281786138446,36.00309844407305,39.8204078274714,42.94089219996864,41.20947302161,41.35330371267947,36.83428717334223,37.55131857797531,38.80826689356704,35.82002813958845,38.44172258313088,37.68656484831404,38.320421094284804,40.308961990202434,36.15960372734258,39.320839200189674,37.10583762481477,41.39667077755311,35.82801554823385,35.271111756602416,31.119234728559036,30.51352365952264,29.789460665952063,32.85711481596713,30.583419934667916,31.398915225480508,35.15644848344346,35.718192826218456,38.70299641957904,41.47915902915523,39.80796965103654,43.12191852384547,43.92390501759825,45.41511479832035,47.61936353007845,50.755308537351475,54.84241153675905,57.65172927150607,57.502475827273926,55.627729980680925,52.15343753794502,50.95375577006387,49.55061192051419,46.46708629869688,41.841298685510594,43.70584298465492,37.77824897900232,40.62595666148373,36.25631856221571,30.694112389138017,32.386863779911174,29.307909258146765,28.353574607941383,27.870202019999144,30.914290823053275,32.81002795274548,37.30154358891326,41.04801071812917,44.53160127746567,48.15236489909731,49.21238371077126,52.84296905958827,48.733834283334254,49.13645097851425,43.643096659793514,44.13314242428091,43.093820002730645,42.09382522844698,39.69143151509429,41.826238874307336,42.146016822438604,42.42593000517179,37.531682784710775,38.71170987920038,36.64811662385511,37.4854641078671,35.08218346048905,34.58400892334442,35.497861414316894,35.137378130560954,33.46906275542694,36.72774301695545,36.61241768957393,39.769426431330956,42.24510907856865,44.87891751699153,41.79310727782556,40.24666304591921,44.66145192822714,44.426200028875115,39.3092800775592,42.74946029071384,48.057146617208424,44.52770391106938,43.63531400926376,47.42752937789776,48.309324528726165,44.72244548049692,46.19103601146152,43.16382163279283,48.00389902943668,41.361816798263064,43.22488370243727,47.299588457038276,48.25978094913839,53.13517275775428,51.59798084699475,53.952643406886885,51.363205887465284,53.069497491006956,51.36743733917709,51.96425227118862,50.350565686529784,45.53375096182552,47.01781827319296,46.72136835940083,42.88516343304107,41.43005828342463,41.590807190050775,39.245273301760726,37.188637385513005,35.83913420371013,38.183696524690156,42.01742441169147,45.07404595197594,47.6844483080878,51.066706869488534,55.39276296380921,53.77509409256031,49.352091301345496,53.41739807706046,55.622300605459365,51.21914987810171,50.2179550014001,54.6013191652319,54.52092960124339,50.92606776079527,54.11354847169574,56.709441911872915,54.024994850286184,52.85028118795994,55.58625732592273,52.476864214146445,53.66757836031427,51.62984903064698,52.62146447415185,51.98191952048537,47.274120157513316,47.55239085301409,47.514037067899125,45.43497591967337,42.09911079764519,44.56107778831197,43.1710173645308,39.10887430848441,38.35225779356451,40.593249555964604,38.79915862704767,35.92883003420413,34.52109641970065,33.50685957141351,32.32777760016741,37.16375820242054,35.704868678668475,37.823305355451346,38.918036711480305,35.22295342559764,33.29206038958114,31.12359102558207,30.72959994375334,34.607526274927295,35.28755190496875,36.65544668664359,36.660942111748234,40.70654291976708,44.655248018380185,48.05743584319116,48.764162281490606,44.05871060725533,46.8803352036058,49.97037279469034,46.401289883602175,45.176130549116934,50.023617192177696,52.75739273414358,53.42315890430591,55.975219122894075,57.532809686491014],[42.83711029093474,40.99665378368015,40.517272350735716,36.98589349905404,37.4807653393085,42.49488492677788,42.8693029868821,47.35522691586611,47.630925819471464,46.46553541746652,49.84967038243056,53.097332210255125,49.25906399198274,47.60071835579222,51.80610423673756,52.15914868559164,47.84496759300464,49.91131178837498,47.83222442917682,49.5767126812975,50.03701928823363,51.21386885049879,50.237181203246614,46.865233660600595,46.109792982959625,44.945913045373885,44.88583977142917,44.438480737103376,48.5428425037514,51.19429675353456,55.77459490531226,56.374421074363106,60.77551524932871,62.14110070585068,58.51626181305311,54.79805044441787,54.33778255504432,50.16860520689875,47.475894801138494,50.144878539517386,45.09566645629114,48.4219441254193,51.52793708134593,49.81014051076613,48.43714814476436,46.46035693607311,49.85868009201313,51.822383429553675,48.70235843289677,51.13085288919808,55.459881874293,56.93262975478929,59.59525226181668,55.35140501207866,59.302651180449544,62.39397798492698,59.33919250476606,58.151559035827816,62.888827251217506,63.39267776829859,58.85328488392491,61.32287122915447,61.735770530860854,60.39038949871642,56.75260366773244,56.13002282095097,53.94890596598343,54.007650729060224,51.189026161715034,52.40297626074916,50.462759517752595,52.665626912799716,55.48662047077125,55.99318040354805,57.331544641318146,62.66293252923285,59.93037184907018,64.1867629449615,61.70740786075566,60.50420815268931,59.530577320125936,56.511393159359244,56.686987156100834,54.375509123435364,50.20467112328183,52.25337683286742,53.63416525472771,57.578840537426956,56.672495901257136,62.37354179916534,60.49893487071009,64.02380829107227,62.41344788279583,62.04361471113969,58.07560453197861,59.94856999242632,56.26556942339227,58.616545833429065,57.05802335767177,60.10041843122119,58.12970880632911,57.13118156204678,55.66449324834775,53.4653372637312,51.840507634562705,48.50364383939735,49.30430601306071,45.52980950116586,43.81943532692755,47.19468995855369,44.210094159710415,43.50910832400844,43.77876103838082,40.93379493534673,42.914734655862496,39.50592559339795,41.48236029686763,38.412576447299244,42.35051614586809,45.231944213921025,43.20911740712456,43.09870577797318,38.50585200046141,39.04203619224924,40.039907369673806,37.34324069690886,39.58942697711144,39.31074836313366,40.04128410758487,42.480891296263415,38.13235707766041,41.490050231977875,39.677661887227,43.9845952955325,38.39374552048647,37.588817862652284,33.12865925990879,32.63438943836605,31.935500322264712,35.274344576356334,33.14083079050026,34.401394483881866,38.03307624102902,38.378507164089484,41.654073009546494,44.13457729957964,42.217783831749855,45.29798511463689,45.95342702814995,47.042389592805236,49.12325782542493,52.003896130988124,56.16848975578827,58.60604802033829,58.72295231165281,57.15630697716404,53.82085081995215,52.7166467045319,51.593318344126914,48.56539716252027,44.2479543603058,46.374983533819886,40.52682070646899,43.70688440855752,39.517843902175336,33.88397154104662,35.67093589862463,32.86118774316004,31.501481105954678,30.794852499363675,33.71781031662121,35.52645678208267,40.23190297076719,43.913717147345864,47.364082712966365,50.835073542178186,51.777458871458336,55.62002286964553,51.740124055585085,52.10567574887186,46.753916058099456,46.77088517952357,46.0697829450539,45.31050502052677,42.910524070176194,45.36557779577755,45.681287945218266,46.27085715435566,41.500572696452515,42.62109844117704,40.479867887194196,41.08931030359125,38.493665021835724,37.67415432684408,38.33335812129429,37.64671992082637,35.592605498399365,38.583239454351386,37.94836107047789,41.16193201068475,43.28359732006285,45.929690539389775,42.80073820920214,40.850505976045994,45.168767183558934,44.872682059481804,39.41932276437585,42.7206628216476,48.124682603401,44.360341694925324,43.15866150420208,46.88605610644122,47.869190527410595,43.96191484135622,45.1644834997249,42.2232904407501,47.03814830967635,40.34437074806699,42.635703142657114,46.66552239835114,47.80101337944516,52.56573383183754,51.31419118425021,53.9965871624946,51.716154699297,53.7517804896248,52.336773021558564,53.06543725175143,51.08942697526469,46.35002081971656,48.24977965808956,47.836674720923334,43.773603179029934,42.626189871213164,43.14944280971477,40.35602830546336,38.060478367919494,37.464347054357134,39.28916981196108,43.66002733306368,46.61196769697107,48.860570400551325,52.47074058691003,56.60107836878117,55.19250421545675,50.594984164049656,54.28389280650526,56.63967459419862,52.252149765612145,50.86957940128307,55.111792907181695,54.979437834663074,51.175326141323964,54.24997883854541,56.75474425535277,53.9077660779657,52.566653576445475,55.30628631810091,52.25416673147238,53.73780941913215,52.039857363896886,53.0226341506524,51.93539035166656,47.32254648531929,47.96042674143159,47.5562450523847,45.27709675126974,42.363461499834884,44.81824430291305,42.87569635614326,38.922662255142484,38.67062657570494,40.611807337901105,38.3153863743567,35.49300670695278,33.97591428956578,32.51338044928515,31.099368888816468,35.896279724360966,34.597240428151544,37.22392909570877,38.397982011138154,34.33323980833083,32.73020204575542,30.52823382737557,30.696119030318574,34.883313823689384,35.92213939434527,37.78447647275348,37.87257160043139,41.34316726988034,45.56014976739842,48.76813489877813,49.72419130725323,44.76347211596081,47.16214537247232,50.378694533363344,46.99643780961312,45.21121683773274,50.01310150105267,52.77673115685579,53.67949217973635,56.220062149464596,57.76256535548441],[42.69505093188024,40.992855588904426,40.859040867879024,36.790488664703396,37.877103686058476,42.300920301170436,42.62971040733705,47.203170499667934,46.96376335891298,45.65339613554504,48.85999248211786,52.37318946199428,48.66616233136404,46.52499444322593,50.77415741677202,51.44521880013928,47.14096857340541,49.105051486476754,46.86288061752237,49.04554898340427,49.36190538040062,50.885170487627626,49.660842750723106,46.316542457371895,45.79559904815452,44.33824969699379,44.60718313009164,44.02073770230672,48.1276301970129,50.91229755252115,55.00123925742268,56.03648121253302,60.31129688520618,61.65704457520637,58.262428905628184,54.47005527665126,54.37859417942304,50.21931874414701,47.76311123190683,50.910969873518326,45.5732338764204,48.42802138167975,51.73060787269769,50.39599479737718,49.11854967953439,47.52543519704489,50.94694371267724,52.69459170873149,49.833015386369425,52.640007470956085,56.74033776801082,58.40294946716234,60.829856990250825,56.23167802845106,60.233533675781366,63.26415922580736,60.01165857648145,58.59358981706562,63.31528037931484,63.84937337388119,58.98135201098888,61.08472208568432,61.35025219622441,59.76256193243173,56.393474477200286,55.79433265157186,53.09459528380979,53.1387857200763,49.91944590902387,51.053998145953194,48.87686597934248,50.77690057459604,53.91164664159949,54.57782808063173,56.24168854256995,61.64751469247517,59.311505102169946,63.65885504605642,61.47536674391838,60.551113610180046,59.84111384473492,57.1461567164916,57.44914934261594,55.44976153749967,51.15880154352701,52.806038917688305,53.86396545800213,57.796919453564236,56.456692928535674,62.04768525630214,59.83247515543055,63.08374987877069,61.420204892545435,61.15306823120586,57.16585408501223,58.785325477522676,55.092040182884375,57.924062846735836,56.52320171943382,59.80550535242362,58.05318207815898,57.472573064461315,56.09340885051903,54.24216537693476,53.1054724566691,49.69049465439291,50.89554228359396,47.30186597963509,45.33964816170129,48.429484232932765,45.0849148279355,44.17709338002304,43.90886326192161,41.008175998079,42.466861077835325,39.00842489093453,40.851473425026654,37.53423950878411,41.29899524184666,44.24643348625009,41.97917730447766,41.96138764419888,37.42385394354124,38.23827873488211,39.464847443822784,37.35826405841683,40.0078273911811,40.044216208268544,41.219525666403015,43.93874581242776,39.98810221709145,43.69413368068847,41.88585609002962,45.899524655669346,40.12968512602353,38.77889024030714,34.58431266345076,33.44075287718942,32.24407343623311,35.56149265164234,32.92999370424427,34.28739569317712,37.77551874438199,38.28000440564911,41.80534155183261,44.148529086845585,42.202156144948724,45.30126312104378,46.225562710370475,47.03550394241791,49.43337573188769,51.929296312529544,56.3762913754762,58.4419053359702,58.42178656842709,57.11782436751234,53.71964173883298,53.01751102179832,51.72669215658068,49.206835637693345,44.965352585899154,46.79960535614652,41.04113533612412,44.45042810118494,40.65517562098348,34.99598565682658,37.38175749907946,34.832256252708504,33.62918954383599,32.341713845255775,35.319150224864,36.585262765971464,41.45084795845318,45.0458687092348,48.29586548428018,51.770769599223016,52.25795964416816,56.457176515788994,52.69563454515678,53.35656525980039,48.132115708280566,48.137041350325745,47.94703291817537,47.43417438554868,44.76701980214322,46.96328216559828,46.824328651902334,47.83791354815104,42.983286422407225,44.55254985735746,42.65375469528684,43.27291819195461,40.965297038325815,40.13669633213949,40.96212500558502,40.50900904282792,38.08230633378802,41.15081327042983,40.32535956639355,43.15911268685159,45.50596754816853,47.767173215571276,44.382632469477564,42.67787562301486,46.999966739841916,46.209984976504415,40.69642984048665,44.26940399092058,49.491495249021085,45.22646981191176,44.12761787356051,47.925184356584325,48.50946139243279,44.38505949723474,45.8636044088241,43.165302345353034,48.20465299354643,41.97904109889093,44.35667410309096,48.43301073581979,50.06073450859069,54.73317531862825,53.910006164443054,56.59536496641958,54.36721716864215,56.525741857159886,54.96105150320754,56.078188166075755,54.13263169862973,49.11107076708884,51.1845093461923,51.16314938196603,46.954134730933035,45.644703417373144,46.44662022271678,43.861303032692085,41.23590000888614,40.52170693604453,41.93858852305301,46.19837174630126,49.30421221643546,51.30583364015804,54.803916419239094,58.859509609023895,57.19311644198394,52.614913610808294,56.22377773043966,58.328175234467274,53.76814465753367,52.44099077761887,56.509919727024275,56.09976927300791,52.2973690604063,55.64297779561455,57.88400298454746,54.69832817249721,53.67452994702328,56.64233506343533,53.79085346218239,55.5622637488899,53.97033113628372,55.29769399024727,54.0262866891427,49.196896118369864,50.27192956523211,49.98202527595899,47.45813673838904,44.69756241353979,47.63016019482365,45.52690180946158,41.29165344097689,41.45186206616348,43.70412406513965,41.14730286311309,38.084224709436405,36.02997813266712,34.89966240277736,32.86344477274624,37.56500775474162,35.7302025647853,38.5015895502474,39.118283396927005,34.92547951325244,33.74189376112773,32.00728672176369,32.317799298904035,36.737520308225776,37.30270189264517,39.48669236372712,39.014633967210735,42.321680952494006,46.5779443653767,49.740589507302026,50.40859763986376,45.32373777395002,47.71216049414236,50.66113760879359,47.04249046127652,45.203225250361385,49.97602463120517,52.48404250453555,53.38209701042376,55.93853421700681,57.60715868835504],[39.72121923208958,38.20857211846143,38.43678129831408,34.37607691605244,36.009844841290445,40.16018326461655,40.80222746477464,45.449988610035355,45.09956675789709,44.08570310418452,47.2846142817594,50.81007520730896,47.45192283170547,45.18880780872071,49.641937010158514,50.48106737600574,46.36378708286788,48.61613740362413,46.70700410096497,49.08676884514921,49.672100985286825,51.46925866378744,50.39854414852728,47.2074329373261,46.48426928077219,44.66686046498342,44.76731157577906,43.802414194103974,47.738356947156376,50.298982142552525,54.31614932555005,55.25593610484593,59.4997147545873,61.120296311607405,57.82757926025136,54.17283579239998,54.00570773700151,50.22761672158211,47.9207078777626,51.45131204643603,46.23328565798953,48.922010099348775,52.45692102180908,51.24156833751144,50.28010987154128,48.81319543508062,52.402326636734706,53.850297067166935,50.853009505324096,53.96677435827643,57.93754083902129,59.49327264466527,61.85274209175137,57.127281097462735,60.90585006131193,64.13205105842353,60.997519023925925,59.26188115907193,63.95442259956541,64.79235401819533,59.79517272466037,61.72272750719594,61.71903446487363,60.32256673889369,57.048161296898115,56.18199871375755,53.28583346427247,53.00059956104553,49.65178536435917,50.4390093732248,48.26659564896395,50.13563593640848,53.34351212927415,54.36421264425554,55.90223605516315,61.5024015997758,59.346647216399894,63.60879309312568,61.554926001758844,60.86929169712767,60.00513850011623,57.497952878450675,57.49293099480281,55.70420240893449,51.472679103172844,52.8698922826294,54.04998683687049,57.71702121688713,56.43617182187301,61.82517771014099,59.506599630684484,62.71010735449489,60.81287164180288,60.3577413856002,56.21829224726755,57.650745331626744,53.82266755243051,56.78224449612942,55.242401547211244,58.3634150829481,57.03197080251812,56.352721919796046,55.352231535861954,53.36899540154414,52.60309556251466,48.911405757806136,50.128917993896486,46.60689047878934,44.29772773404425,47.325170946441865,43.725121221821084,43.101354358459524,42.565200734313365,39.95195487314472,41.410154613374544,38.1358867324619,40.23993120454034,37.24630945389294,41.14128901649501,43.745050924665634,41.25158803371869,40.94886403083894,36.40553992964268,36.99851547521742,37.96438182460781,36.15167516956189,38.48696592135066,38.93472470021289,40.23647551412856,43.32917879351272,39.36698629439357,43.27022322865942,41.816991487135176,45.714794514557575,39.96764562017508,38.32565798251039,33.99676100649107,32.873390451897826,31.690618580914517,35.19338681050123,32.81480911787402,34.6572532044931,37.91373924924565,38.13480777393811,41.89360765300377,43.89184957258253,41.723839234571976,44.54847367887999,45.3281754583181,45.76724692557049,48.05592672966391,50.294878136141236,54.78119781027261,56.514489213276526,56.70105898756457,55.664882857154886,52.41169186040339,51.813949963571424,50.773546925325014,48.356677130602705,44.447336596413024,46.5038794818694,40.910585307659275,44.6143988068933,41.07846586454867,35.452059615543675,37.93816389912667,35.76686344594839,34.20798966589074,32.63511638025653,35.434408813835695,36.5254596422448,41.525977696402386,44.999685097212,48.162107231183434,51.45383303695985,51.79856564260217,56.17921692467897,52.6930524997018,53.33130238985206,48.31833154773771,47.86620333780913,48.08382914524102,47.864136822897215,45.174017201689246,47.648377316409956,47.47882939034945,48.88062216221929,44.24907930762141,45.764330705754816,43.853639051133385,44.16684875885912,41.76321196684005,40.62393534322597,41.256006449674665,40.62785396464121,37.80316101694269,40.65256673734787,39.41594852269995,42.11364894493627,44.28237145317812,46.39191336815426,42.94087761124603,41.08430557826388,45.30252331044582,44.32687521701573,38.665693802965436,42.207974736208975,47.36911535984328,42.87057429960463,41.64890854715717,45.40123178578893,45.91898464511359,41.61136756525402,43.02910443278993,40.4705127902499,45.53303465013557,39.52815314968943,42.09194307806903,46.130252975377175,48.04157541173895,52.56667145258282,52.10976567104398,54.93170018361929,52.870411573192676,55.2371703706895,53.77099322559806,55.149052477625816,53.030902911357764,47.95086057228886,50.330814796062356,50.45519369269991,46.071621530017666,44.86218993544015,46.04106153322298,43.334749230682206,40.40961019402725,40.08198410387849,40.973154750331744,45.48015299893024,48.54862665724633,50.19641058239636,53.76376311686738,57.637219483315555,56.02818685214263,51.377400514662256,54.69317539136896,56.79457416545679,52.23093530983136,50.69139715545723,54.59297489550237,54.07833138088351,50.18177314079838,53.51898402755043,55.61695459993257,52.27359872982109,51.256547360737365,54.280284575126686,51.543139990520096,53.554963429812595,52.19395839859935,53.64547997533294,52.08193892708478,47.24684096061369,48.680522349613554,48.264074492716006,45.55508908924937,43.09505032675752,46.23058858900876,43.81944665567957,39.529160554138485,40.13164846833839,42.39952170627857,39.52287554101377,36.38019122577476,34.04060796922028,32.93094427663587,30.528164116839722,35.08925016239159,33.11603426390412,36.130382639930865,36.60274864609908,32.24565485601277,31.376141023827266,29.822831222995966,30.476245291280346,35.06270265355097,35.673420727493564,38.22839841327655,37.67788264752322,40.511297676769615,44.90112303273618,47.89312205647471,48.659697040342756,43.43693608083427,45.52182000455579,48.475557705441524,44.984471186046555,42.77935304772122,47.47066114344912,49.943445996613406,50.991771143635404,53.53171948940062,55.19595548194256],[40.057696077183294,38.79763961398762,39.448772287520306,35.20289950703896,37.42736444066441,41.07259007244552,41.85598575159958,46.53600024278362,45.84377401011204,44.90301679034494,47.95486494377503,51.61459664340882,48.52148856913893,45.93661775830342,50.45817823881603,51.55264914798487,47.55170897455568,49.81960423312274,47.93330576293056,50.616781304277225,51.178428758581504,53.23365124949757,52.05409834413995,48.93703085014709,48.328226328297745,46.27120522686247,46.52151916015343,45.37743184909557,49.21971566913019,51.757456153733635,55.42313273178635,56.58097971265951,60.711197538189616,62.40781643730896,59.30660265171687,55.67936714035724,55.69974780713644,52.07592697092516,49.96204939348606,53.815840527164646,48.513521189564806,50.885938437749765,54.5540584016726,53.576941549198246,52.74095040023467,51.494720261763014,55.09781572854079,56.37032331723797,53.484159824821,56.81856790889339,60.63759830605937,62.25795607501087,64.48303382244366,59.57748835948471,63.31058879839816,66.5418889573196,63.34827863004791,61.423964268813464,66.07542833071669,66.99564120012958,61.81946529658505,63.484724784474636,63.33001112438021,61.83211585714703,58.768535365088276,57.86140796889315,54.61655407433107,54.23487323538573,50.61572994289152,51.23329626402448,48.92324670706466,50.54732493699339,53.9732501515929,55.205543681459,56.91024096194308,62.57632781375212,60.73887838587197,65.00782160468239,63.18007160622156,62.72345784791506,61.97258006863713,59.70579877927533,59.676549771672484,58.11921584099882,53.87340322459989,54.984878950191586,56.01897717989889,59.57892297178184,58.076218364562436,63.30507955607457,60.761904550008836,63.758984697705685,61.762261386561164,61.309057837763994,57.12917128043399,58.317112267297446,54.45485218794324,57.74473053376352,56.25195278492571,59.41706109028641,58.399842299786265,57.909408003031395,57.11366808946036,55.26546972292288,54.876454194319926,51.06734846972322,52.45689925258549,49.06031011680935,46.517666479825635,49.374520914096074,45.529394979779745,44.94646649265903,44.02972059284091,41.54408818659409,42.697217404440195,39.513271097090104,41.60336163052405,38.62099946955459,42.38182974171773,44.883892656211785,42.18797277507191,41.842006244226326,37.40313280936749,38.0649194353125,39.031532796413195,37.70206525036545,40.062432001776976,40.84286947066551,42.382423999666635,45.71924871069417,41.948010944401766,46.01987217667866,44.713229467706924,48.43011116498644,42.67032877599601,40.71537330698953,36.51338425806239,35.13259994972279,33.747213505854276,37.22553782351517,34.674215745381645,36.68047936148635,39.75905148903953,39.98011708145539,43.89947323495549,45.69843674543019,43.466411047623566,46.1706464238399,47.028833138731486,47.16081937560503,49.54228622180785,51.43855710205972,56.057166897821254,57.40876017419425,57.629200809130445,56.87400421407636,53.67709974399227,53.343845420718615,52.32971064075279,50.23638075151584,46.52572155321427,48.492061980195324,43.05796345031077,46.92302298530997,43.68029747324278,38.11737407938747,40.859917632720446,38.89939169525999,37.34122324593656,35.489963941745195,38.22247348190088,39.01009299016382,44.067471697248195,47.429734913429165,50.44329979626123,53.6515033275303,53.71642309094393,58.31062183167346,54.9951781143003,55.76123416549407,50.9060561252048,50.304944400453856,50.87408683630456,50.842211814638056,48.0554624952781,50.47361409093826,50.08698415627803,51.76332531622061,47.157709769979014,48.85784902702915,47.07430841416316,47.30668341918931,45.0078280723829,43.792690996831155,44.4198360671948,43.81250465265171,40.75538548048984,43.510995511357166,42.04073245586223,44.52809838369068,46.66010796689661,48.549875994913585,45.00071199148015,43.15895183261033,47.27789065270294,46.03107542684593,40.31096465824692,43.87979698545707,48.899386429068976,44.097684156775905,42.82950860779811,46.53410813704329,46.85646687646767,42.35631040216638,43.79806794056503,41.46838298084584,46.563699503242404,40.90884246091003,43.64286481020888,47.62414391193631,49.84254096379106,54.19774269247614,54.111770699156565,57.038993294136226,55.1228346456768,57.643121284943476,56.21522586350048,57.82183904479993,55.60919194652708,50.47285950552455,53.054017047426896,53.325119866014894,48.84038525989752,47.670865247339364,49.08723787032752,46.35807035707707,43.24388677405315,43.09874821066057,43.628200557651844,48.19722082271026,51.27330561131859,52.661964993814586,56.21480002525134,59.948160144510645,58.29417219960321,53.63729411629469,56.742543990402616,58.7471056347566,54.14583159638414,52.51162903841516,56.22306403245472,55.54141854094751,51.610774993666524,55.014257958982924,56.90750092726648,53.34549326396134,52.45385797614183,55.57317850976149,53.000474460343824,55.260924805193554,54.10022041904734,55.7139611807506,53.90298778548204,49.04735354537979,50.827488109022006,50.340513748249435,47.464818937469175,45.27588317964748,48.605884281417154,45.94747692401655,41.62247063492374,42.60246473266691,44.881098774467596,41.744151996397406,38.560892662617974,35.9522926396381,34.8751140788928,32.10850139516982,36.47870737099566,34.318383072571095,37.55042285964486,37.72426723382145,33.24743223873229,32.783758115183836,31.522537474156096,32.44523568775589,37.14856379534286,37.627426734874014,40.47349497394052,39.682794954291104,42.155159212858365,46.59455889577161,49.44654091121092,50.13406037665248,44.827926120166744,46.70434604733227,49.51226076311139,46.01118911341134,43.57830083238409,48.14608687203678,50.44300366313746,51.57509349229285,54.08987002031997,55.80304665870669],[36.442208547103704,35.25367742880787,36.11609444513474,31.597800023819705,34.257474000816906,37.3988573547559,38.24674444128811,42.92483250600037,41.96897135296554,41.12576013110947,44.07762597455559,47.79510584989694,44.97099181080562,42.19375719530131,46.80511546389159,48.08365172106364,44.26002229848972,46.68219289808855,45.05170418596272,47.95676930357052,48.71521205326855,51.05975052729604,49.996274537081604,47.073664231967584,46.320120410531786,43.90501831585607,44.08052366740743,42.612826446326956,46.26741092052427,48.65202375301613,52.09014787800133,53.29468394154565,57.330347796011694,59.195379462335474,56.25667032531194,52.74366854956341,52.821573309009,49.52565155213502,47.63224557399107,51.90017096814226,46.67981887060957,48.73996012744826,52.6188461171522,51.86407486221767,51.35692609598889,50.36086814156936,54.085535984676966,54.9891806870306,52.097978251024166,55.802051470157444,59.378973049763914,60.95858838264239,63.01904274816179,57.935135121073245,61.45673803849857,64.8055533141878,61.68350124514155,59.43018387949732,64.01427369038056,65.20211160571424,59.87041188248068,61.2842177641275,60.86041588175288,59.50433537786576,56.599244804031066,55.46242253212278,51.97816190624924,51.31398195516865,47.55740405397389,47.875746191050666,45.559463272923544,47.113150094360755,50.59705772742188,52.133320361950794,53.7613650147227,59.556507511500264,57.95170806701756,62.13628005437809,60.49486932231299,60.30895128590442,59.51517687261741,57.524077884355414,57.309754196426454,56.04660544394893,51.84833005273149,52.60763141702909,53.61592584869812,56.93109893942176,55.36044320738131,60.35812541082218,57.67422183394669,60.55714915870646,58.38625807684094,57.82355777164542,53.56729017867504,54.564784735878014,50.64358599899128,54.11395316835776,52.60319305051903,55.74498832495753,55.03982488809445,54.67300947471915,54.12835477513649,52.3861218935001,52.44317688200309,48.50414364257415,50.11253247883008,46.91543482844254,44.12074875662375,46.72335627357295,42.633142926422686,42.067254190157044,40.77095870582597,38.457344350119,39.37945492729588,36.35807654317346,38.54672912023373,35.82268296367326,39.571157742611064,41.76362788383485,38.87982555943231,38.35266048978596,34.00672673495662,34.59424519129419,35.47615729399788,34.593848634578414,36.95458192015143,38.06940295565752,39.8837992292306,43.487194603937276,40.03890344424878,44.33317790276724,43.22953878570368,46.632079360716155,40.90249313540229,38.53226013473296,34.53320976192625,32.85408832463812,31.29051533312837,34.768785917522614,32.30277294607929,34.67135498995438,37.43404725945454,37.47278571695772,41.572668463395786,43.0314979984799,40.67173040964762,43.152430381056945,44.01904827474964,43.82687013097254,46.268800989042,47.849029599297154,52.56565218190917,53.60926455515012,53.844272084756625,53.32186960588394,50.20049400205948,50.09740831693113,49.15538007146638,47.37213813502885,43.94737711552225,45.90111082385181,40.717974912772384,44.811035618001114,41.985231796592366,36.57626777057323,39.588360668183675,38.087702663767715,36.40493095383923,34.12216577016191,36.67200011210402,37.05331794303461,42.151728628019804,45.32507319468966,48.140363851133564,51.18608355039001,50.96494427757163,55.770187584981386,52.72824520876669,53.60007627781885,49.01309262499038,48.12375569870146,49.199127204751015,49.489039001696916,46.594483930912105,49.04860639642466,48.45491858572787,50.59237317575571,46.22088753981516,48.02919463124756,46.39192985180916,46.37594013696857,44.20343225897333,42.80502969885121,43.40731159539203,42.88619852044987,39.45980150569569,42.1206156412682,40.4203184309203,42.51026530869091,44.74951307860311,46.259025937105086,42.567297887398475,40.951163216261,44.98520617302174,43.33563080326355,37.69438768798416,41.432675966763234,46.19331213956599,41.07434758158929,39.953376137277296,43.670251197643225,43.640655394434354,39.0888449950276,40.8043528292378,38.699674639390544,43.92913361988235,38.84055271614277,41.47053615226376,45.446362172885785,48.08893708101277,52.324212677829195,52.62260482495567,55.434084196091355,53.52553010483543,56.101772971758216,54.52156714227292,56.51650607178021,54.38418459774796,49.01678496589036,51.73762220850141,52.44016101842879,47.869239979538044,46.54120272117819,48.268555787501555,45.81098036299695,42.38476629934175,42.15216540918945,42.20180697547252,46.6205122555565,49.766093888629236,50.856233186515624,54.2674711017441,57.86218101781241,56.02561385200182,51.433793067064386,54.395708698602704,56.16874630620095,51.49348382778992,49.90426057471881,53.42116522317937,52.526844993629766,48.651990946774625,52.24192482395071,53.903927775032805,50.12906570122968,49.5252621308259,52.804954673262046,50.4291144494312,52.87851910314527,51.7933599057525,53.71580757896971,51.81494159469687,46.80085866049285,48.936261244687145,48.627687728723686,45.58473095259714,43.522439054451475,47.2985436776743,44.63591650745604,40.059682358175294,41.372506053556954,44.01872693837713,40.78651957565796,37.38408740785956,34.29567896654021,33.761550827860084,30.490863263632125,34.6459995487652,31.937098394188606,35.08727428286971,34.749852766414115,30.344632845032592,30.2141605100561,29.443842037277992,30.40384787980181,35.139448065806974,35.193467150847404,38.277786775303916,37.093614292020895,39.2735432822301,43.67697599228945,46.42000984463809,46.927234848769395,41.59608816395817,43.38969894397266,45.98082980150215,42.414008092651585,39.92240733989524,44.40284638395187,46.52540273843135,47.66901110839046,50.17460307634871,51.93729863198628],[38.19552596200047,37.33559317398397,38.57613129423747,34.52210664254478,37.4934547937907,40.68363908070118,41.92510103153163,46.619189248445416,45.79361781178038,45.291379423740175,48.27585762889384,51.900951900767474,49.322997641199436,46.61326313449645,51.32892696856526,52.62956839183876,48.918875459189714,51.4932679963242,50.0057898612738,52.88438429482209,53.72079059454386,56.04297292279787,55.02208122961301,52.082558161022845,51.29364385784476,48.89527064142831,48.970338432061844,47.43241012617229,51.024084473519274,53.26410523813165,56.794145178250034,57.82702088556707,61.8763533668696,63.893077898314665,60.94316648882466,57.5124004566726,57.44124101451222,54.2913186045188,52.35768645756403,56.560248520383205,51.441210001625066,53.631482929323305,57.49957129574192,56.637408154345025,56.11235236765186,54.97070527403239,58.7063219811062,59.70150557728297,56.68180890152196,60.26475791236808,63.956917419114774,65.44873779471563,67.6142703878823,62.62796727258633,66.10783808273989,69.53011483089834,66.48024128815833,64.2516746982943,68.84583330530178,70.06789021868367,64.79773468770914,66.27152686517069,65.83477999514038,64.53654889291637,61.60294967050427,60.42828524409435,56.98848834535736,56.25138021828084,52.50896916062768,52.71384620097229,50.426456009810956,51.95772907155676,55.45434636536538,57.0929463016511,58.65787032078097,64.49498806156666,62.89125802202842,67.03361086067453,65.37017009766579,65.17860912618413,64.26200630967223,62.20724712170733,61.83190235105822,60.50117555679176,56.36534538109254,57.21542219425558,58.38573297893213,61.61797962600506,60.19956554176691,65.15274399789747,62.50520328679609,65.40900678598202,63.15186597083928,62.47952007260614,58.15313635072775,59.078675597653955,55.08625148751096,58.51866458110115,56.86180732674492,59.771360616572444,59.31889924447596,58.68505677248088,58.379484952524145,56.358424301197104,56.39063520570953,52.28842492648005,53.62189443319465,50.33115123600671,47.40993027510993,50.18402905158563,46.09645053252178,45.92757294584016,44.71327591693555,42.655192989104485,43.80200258020702,40.914825128366445,43.27239066691953,40.7196432795929,44.543479003070054,46.61472351715317,43.69225045254898,43.01046597499854,38.66975124897623,39.03973126257501,39.635544263267526,38.7083910787683,40.560780975985956,41.84935693215775,43.47028828202969,47.190610141868575,43.40816900332034,47.59843219321269,46.73523539219857,50.31669600103334,44.68668811785528,42.49342906346127,38.18634862528077,36.936444379506945,35.64038373532217,39.24287715806501,37.02906351661095,39.49203273658454,42.28859776976965,42.20060630771566,46.30206709556631,47.69973588346266,45.25025219486444,47.58172475396478,48.23493951627842,47.90006882892908,50.07875108845176,51.61275449649275,56.208504700276286,57.079999706352595,57.610511102511914,57.2319837552498,54.27399268021343,54.06452812049472,53.398805701672806,51.43232590935741,48.17516142736238,50.39459008527501,45.22117191429828,49.34014445157802,46.38324163705696,40.935134675975966,43.679004599492096,42.08094095607955,40.176647453719816,38.1438241228079,40.63470601875719,41.277222710382,46.38897251484772,49.58056761994369,52.47544891500275,55.43481752804226,55.360716971226616,60.103293369189146,57.12741007073214,57.836561939604195,53.25270009346662,52.13905359882396,53.10896415440982,53.366869075510245,50.61953131095481,53.33427547913218,52.95860145758688,54.97435083777823,50.62203161223153,52.21682311809439,50.40743076851806,50.33762927224427,47.9206762570201,46.39884757858412,46.78102115745773,45.93498449197488,42.53605145534065,44.95384477840296,43.011609413230495,45.35881927933981,47.14763168963507,48.88287828042632,45.347218066051234,43.252287814463344,47.135372504554425,45.7360083754523,39.89560865676936,43.26727485738508,48.153507297007145,43.14500847319703,41.64926600533057,45.18491951143173,45.482807627316646,40.75756417166393,41.97009211393522,39.89220060419007,44.86536172486172,39.55732246659971,42.59340048546967,46.41514781933747,48.9226263367251,52.99523877788432,53.38325869791708,56.528373672271776,54.91531503211909,57.70699453668935,56.50737966151833,58.35091807836481,55.87765886510104,50.82755481348284,53.77491793927833,54.102201690750114,49.4768984932116,48.53680477918229,50.347694467020396,47.406311997442,44.047511962866665,44.493018612573366,44.415564110672946,49.28982051375521,52.23313647038834,53.17406072284832,56.81909213830861,60.267159061771075,58.77965129025611,54.06351453730259,56.71233935380209,58.753381547729326,54.23409564522078,52.28155598119077,55.72176383325112,54.93883763160715,50.900105230398665,54.180087620625606,55.872129952064476,52.15105985023135,51.20235997203281,54.318810660518075,51.92335790887187,54.49141393200143,53.7057351470013,55.38958474761162,53.15780036380738,48.44003368536885,50.64896097265301,49.90123633011049,46.841110226320055,45.15277300956518,48.56439159516538,45.469508691747556,41.26915133078265,42.80952926251873,44.91038212565082,41.37375702273311,38.25154628757288,35.43557631213457,34.22558593350236,31.115082038266237,35.13096113394272,32.998263969108876,36.588556387287944,36.647245351268126,32.00630190916074,32.04588053026649,31.013103403077654,32.45180017540124,37.22556154090562,37.88280667810946,41.14389867813144,40.35977033258337,42.115252439209776,46.669847453941905,49.225783278143766,50.0977894071981,44.68253960900899,46.0472537470918,48.85269044700221,45.6345665347712,42.66063196790078,47.00427911596201,49.241005467336805,50.61505594584946,53.07268458102546,54.74759244329923],[38.320605511834486,37.23358319235909,38.06380463943492,34.355584017987944,36.7147704690102,40.590871565798075,41.78888263448371,46.484555719897074,46.119922881605696,45.619367099586114,48.81564296275031,52.27215184367458,49.419367937374005,47.1031812604944,51.79089349688763,52.79353181690899,48.947530652173945,51.55349058243914,50.05821567821458,52.58121315942024,53.45905588760156,55.47038070608917,54.576883515378626,51.52951856326399,50.608122994690596,48.4932546542635,48.37260697743691,47.02669943073459,50.734748607481386,52.97647017334719,56.97270960042587,57.70131547743571,61.91035875371185,63.877301752102646,60.68070990901395,57.22327583049298,56.885830211353934,53.57391029315165,51.388887924758066,55.191330356886034,50.18621604092691,52.79749556156326,56.509870406792714,55.32688366365656,54.63843355867788,53.18318121523616,56.902758007928696,58.14285461530339,54.9485443171588,58.222818497030126,62.141585764573136,63.53190122522021,65.89939338809278,61.16277305931819,64.69512668223528,68.13500065806561,65.16924784965539,63.18104869188159,67.83945248006361,68.96336855103574,63.9218015468513,65.73669236615852,65.48742527227604,64.30609608980357,61.10480373903447,59.976394221495575,56.95046456121833,56.319691677973246,52.883127999808885,53.275194013571536,51.14109987506463,52.96282093363964,56.22642410690849,57.635237735431765,59.001694971849886,64.78489943276738,62.79359925604688,66.93384358536667,64.98468681120208,64.50746938928143,63.422638040736665,61.04970164258987,60.65856088618785,59.02111989161037,54.912844540104395,56.13984902095228,57.535886525616746,60.89009443735933,59.77344099146496,64.92865877931673,62.55380242352873,65.72129774025069,63.55965813828886,62.85993487904749,58.549274871755685,59.76038376658519,55.773237368799094,58.80800203036822,57.046846578901565,59.84863070324755,59.076839152789674,58.12731752200959,57.63835033615596,55.354118265802,54.91177154885825,50.88379254700846,51.91703117145442,48.42387511405768,45.72979310418986,48.790655202877865,44.98554072589749,44.89904188407004,44.17137860407809,42.02193091267914,43.615048094178285,40.63378015561398,43.07044592726415,40.534842987266344,44.55002054720252,46.73302527979138,44.02378051241306,43.3544341382524,38.85152696351805,39.08555727571408,39.605510274445194,38.06720454468896,39.741033552143115,40.68881018222478,41.96513435629921,45.45024988109428,41.29803562137647,45.26370001191527,44.313221003775034,48.188099772303616,42.59244383099185,40.82373186916684,36.23742668980069,35.429153555489115,34.45538599279881,38.143482971178464,36.182139696652186,38.50051243177782,41.53946765251223,41.41678623213869,45.351789550344286,46.978844617248576,44.56740328558567,47.01394863579067,47.51099439489449,47.507771383037785,49.50231132509368,51.46025603722749,55.87547722357117,57.180916093844864,57.75966280853756,57.06978660224643,54.07615392146428,53.504732612136465,52.88713410000375,50.4565072444686,46.99518546168867,49.416486125417414,44.03387508699587,47.98355995662801,44.62813490053663,39.07934326753443,41.44022204736084,39.56571684136697,37.575762137172724,35.94701479026651,38.496206954969836,39.58305698403252,44.65194716438935,47.99203598856527,51.102239932300584,54.14542220911167,54.459040569915345,58.93409942274973,55.76232183730663,56.2651044416244,51.4796470767045,50.467658779399244,50.97773187433248,50.99879516470789,48.414168286034986,51.289757426667,51.2428776828345,52.890762393071185,48.50650365057627,49.815476135586714,47.80859376842954,47.80143862451459,45.17209884386748,43.68990675794649,43.993264244356105,42.99401940848904,39.87023661139789,42.311673616240576,40.548066610062136,43.264861678456306,44.94015964643913,47.04684567431677,43.66984109242731,41.36329055964628,45.34404809429076,44.37422166123174,38.48708666834932,41.718060884423494,46.873063691567545,42.260527458226896,40.67578439780536,44.240659276036325,44.91765743217718,40.34500522463529,41.35512094075548,38.96124936170042,43.8400742746885,37.92589824245051,40.924331256579265,44.79597796501188,46.860948844884,51.12096552509849,51.06000372960425,54.21579535595945,52.520453636153825,55.2102092998266,54.10405820822419,55.60395546180951,53.10803443941461,48.230688165247805,51.02645295845146,51.020671453418345,46.47917529981537,45.64149454496983,47.2008310351129,44.07696514131637,40.96446858605553,41.46350109655889,41.77489655505138,46.774397284022776,49.64354993453832,50.85604862791745,54.62426625482379,58.21225138462935,56.90192735758851,52.12733724205222,54.94148420814003,57.21415510119375,52.777661391466424,50.80383824008522,54.479621264870815,53.94844103013609,49.873508851108404,52.973984040156914,54.95324828331679,51.5179320638013,50.27565062869528,53.22453788029088,50.590330985415655,52.89224328543185,51.95380988764095,53.34612183927714,51.297578632993876,46.69026396158254,48.49340823973873,47.66097091058247,44.78933389236919,42.88441796319238,45.92575750983753,42.953574918301136,38.91242940617145,40.078537413480994,41.95632486156362,38.59767865827023,35.61113588487616,33.21561981829453,31.66138842820417,29.042820331847278,33.33641812551506,31.651092579394923,35.172375161922716,35.7704299733488,31.137108061242728,30.702395890877195,29.167429833615696,30.47218992173266,35.17867607994569,36.23968129028893,39.23805387849546,38.893066908891406,40.958505196763866,45.53894180311392,48.224236169796434,49.32518704964923,43.95267896173273,45.448037814147185,48.53217307098552,45.41773023433694,42.555127779294615,47.044344252818384,49.56343515963877,50.911393619354186,53.40649524695426,54.99461724749324],[32.38415737944793,31.138511994890504,31.884048954940432,28.018778901309147,30.468374592219842,34.23174756097656,35.47339572810196,40.17148672982972,39.83572108859495,39.482395666248486,42.72045278666139,46.09521520003717,43.39290704075496,41.1729847979007,45.95120378245218,46.945645086708176,43.254317045693924,46.11602981135399,45.01566092698932,47.52940408650791,48.74382950579968,50.90562878527294,50.309058194596645,47.47295966254514,46.21176470775203,43.820859769360695,43.39893190066955,41.73682293929498,45.25356012698066,47.25831950150239,51.328841794908435,51.8477973502713,56.05190894114697,58.21837337296547,55.05064804555859,51.748972094046024,51.26077528972357,48.30646239541375,46.23923330739467,50.31976699930124,45.54547470641218,48.047693365575874,51.93282887015948,50.814862918945046,50.499771828633314,49.16799504650749,53.05743783687786,53.925428057986736,50.57557918848067,54.16868196051691,57.89183985649197,59.13632897361163,61.41471807121222,56.60878294680145,59.85735263410015,63.49217138047008,60.71404899870349,58.423901550043865,63.02493213041682,64.4783475490393,59.40471033909144,61.13092110073817,60.638573351556175,59.7834251309575,56.59234162286771,55.15843960225797,52.16064441001632,51.201335208100794,47.863359199722545,47.97397381648962,45.99367942406245,47.97804328375369,51.08267770884584,52.72412368085174,53.78158841056218,59.683859130416614,57.69863248179968,61.698867169689635,59.780621821719016,59.461435933726335,58.172244783603084,55.94791961729183,55.267134848489086,53.81821514713709,49.80741125050135,50.81831926386326,52.36643742569854,55.453283640034776,54.50036084535419,59.47571969120293,57.140105013646775,60.36711438579346,58.04077838798508,57.155167392552606,52.758654600427796,53.94780374482327,49.89306255454289,52.817502905329796,50.94231052572631,53.620079789915394,53.01618923099766,51.9901834688134,51.703031530018464,49.36884490975021,49.19777232678664,45.03721006974754,46.1837480204204,42.8258305336285,39.936686955878535,42.84495194219989,38.89456527725593,38.87927459348978,38.00591034449442,36.028714993242446,37.68582829099293,34.879538281153174,37.5378789762999,35.43344206616908,39.604789348721475,41.39921587847835,38.6274492915062,37.68925005121079,33.20115084314145,33.171039708220114,33.47202607699881,32.032672465808275,33.5583799195965,34.70796171415091,36.124109937863984,39.82435738593018,35.87436342296415,40.027801023858984,39.29234613893657,42.914197059877445,37.37287688801253,35.30661049542326,30.802720992407615,29.89212268952272,28.956169798029194,32.700668228693274,31.09600318316399,33.85529956507858,36.63255463315275,36.183162024421506,40.236086498110424,41.54484419793911,38.97633673775294,41.18243312325162,41.55415642700112,41.36363725791151,43.29668470746345,45.16391935301041,49.581391101559774,50.827909428051115,51.44843141409267,50.81568526675721,47.893156363808316,47.35020669865942,46.869831936670224,44.50578672176609,41.29120078813319,43.8641169205437,38.684352791861244,42.830464172865,39.77676487261898,34.38296511245074,36.84839154234927,35.465828559540135,33.22404460529899,31.235860913827562,33.55597586828114,34.38338878600162,39.48145490245494,42.657678601274334,45.64752979486122,48.521059066478614,48.730017571052414,53.299980559899154,50.36837370244381,50.865117586481055,46.31665146409523,44.96175448233392,45.87486147207004,46.20010569443724,43.56801870806581,46.61776894127059,46.517810525909745,48.572966503314504,44.519483723281745,45.77538741578353,43.84961044415076,43.50972700224161,40.92483985916815,39.20002242032083,39.42659426915322,38.482291732884555,34.98528983044274,37.339969117108154,35.38388545904061,37.75897806682279,39.59002413210894,41.386708014945434,37.877082313861685,35.80303487282327,39.78578480602809,38.50418858846,32.687395035415335,36.152074596345535,41.145175769366524,36.331072208997675,34.947821722005,38.61695007793244,39.0246247221122,34.50112897963805,35.854953360964394,33.5149100590022,38.617715122938286,33.09875531084316,35.828338469372824,39.794677562638384,42.2104888585998,46.49594288960701,46.6508692078105,49.57349155059315,47.74961522777377,50.40988831964011,49.056638470413375,50.92468635372831,48.60276412478449,43.40681411947399,46.26773362122333,46.75619504016658,42.13936584157381,41.04391664437876,42.88477746386757,40.144898431815534,36.696021272320465,36.962363073450426,36.848234464662966,41.66125194074422,44.62587224692842,45.62494448029462,49.24736882141163,52.770678283340565,51.26347363061311,46.54163636431653,49.33652498605657,51.40748103843041,46.88660205872136,45.012827337749805,48.61686204773225,47.95248933270379,43.93813144776657,47.24278901812154,49.11334917696188,45.56846010341058,44.572778631633696,47.67581590433354,45.13726506977469,47.49913738227486,46.48944429353688,48.175327540110146,46.19504713661342,41.34400009525537,43.366667550104296,42.833799469885186,39.83864680595746,37.86469542236106,41.411577869771605,38.61691085586733,34.18865855883469,35.54055767694114,37.971803911306196,34.65926263766294,31.340646052745477,28.422787986757022,27.641492020771672,24.524650999555274,28.771204947760484,26.406933798102024,29.69637381114184,29.89392936173421,25.351826184143377,24.990607464091475,23.837687996793605,25.0244744261647,29.786303906627584,30.419896527483946,33.58067777169559,32.961779248640795,34.88522765101878,39.44789739502692,42.116326026667046,43.103790606734464,37.7142082254574,39.25246058625586,42.248238027571055,39.07576257186043,36.26340596314014,40.79048741817016,43.27291634703299,44.57376229863126,47.082926962871916,48.69562749052122],[32.87383216574452,32.029909797957956,33.37090002375886,29.45568608393536,32.64532689146305,35.761508188015085,37.25236934218821,41.93912246329203,41.25327212126634,41.08306429163995,44.14273005427925,47.614712550026255,45.29661430442498,42.761425428919544,47.61724680906006,48.88755294716942,45.38343512883341,48.297020914278455,47.284538825229035,50.093290518795314,51.31464229457203,53.73509574969833,53.05500641883673,50.30858513402075,49.1423664496586,46.5135044480219,46.212244897638755,44.346116808830175,47.7165602574157,49.63728676089279,53.33969077694403,54.03108604314878,58.096140693950744,60.38711240062187,57.43299250596836,54.20555703830151,53.87227839527997,51.146740936135615,49.28654751199963,53.6713334991173,48.864863517896566,51.05814100741734,55.06678558493131,54.17669002589516,53.99326035158758,52.86661650450424,56.76748036980819,57.467686880992254,54.2157605056176,58.00577959593757,61.580624159370814,62.86420160601269,65.01366704156197,60.04885418121824,63.22393119865026,66.87511482920844,64.06633604395603,61.58513006229057,66.12828887718973,67.6862567588839,62.453909550675824,63.91441798824003,63.251612250935416,62.33397410475763,59.36122328243937,57.864220675306655,54.53589260376349,53.440579922398655,49.84706734364375,49.729597295562364,47.632801207319545,49.359277081498156,52.669673173778804,54.570606703739344,55.75803004327606,61.73048737972144,60.07905578560511,64.05248251511149,62.37072364007036,62.29752102643021,61.08724546046053,59.111435069335066,58.35926453185138,57.14975549217586,53.15972549735231,53.88278278442286,55.315193401254106,58.24328729028469,57.11184770340333,61.879610434380766,59.330667052636045,62.34134822756197,59.88328836802709,58.95908693423757,54.51221745041419,55.412521275143966,51.31476275772628,54.564459485182766,52.70327226708937,55.346019544265694,55.16159239456957,54.2733574929388,54.2786412181699,52.03597954183487,52.27516845930629,47.98306134475733,49.244370626867656,46.03583030257007,42.89526389338992,45.619031973841516,41.43789644701392,41.56042569033937,40.29014519773224,38.542977822631514,39.90161743379428,37.26207090203119,39.92752143815212,37.8955738190694,41.929447470101586,43.55716053553276,40.57675106056794,39.54509243101218,35.21529935767679,35.19808723946144,35.41797729949028,34.53582592453161,35.94630522333315,37.494854975108815,39.111551721571665,43.05575203424164,39.2923855042289,43.555259207834595,43.02611978756303,46.45994265269228,40.97755808340938,38.64310553567289,34.27176689758472,33.19447555234394,32.09454197417114,35.80620064106623,34.116014356607636,37.02225802903019,39.58231408278667,39.10662901238505,43.28956806662131,44.35806601094094,41.719577490452764,43.734615109745306,44.13296368690427,43.56598394893446,45.517515598440035,46.97090223914227,51.4718889729054,52.23771407711042,52.973098619205714,52.69503488929819,49.89968662574177,49.62530508444816,49.251564462822586,47.21501067478076,44.28847999414804,46.80686866079861,41.84211651618496,46.13273222671126,43.37680723920901,38.08269702443689,40.73211440898928,39.53883991760443,37.28600315336248,35.09682026284649,37.319623919900856,37.87939691934468,42.988060561280015,46.0260091051927,48.85196182866371,51.59337137487794,51.53508490434894,56.29092149250394,53.57933915920787,54.17070760907795,49.820847170771,48.2667754129983,49.52375830688638,50.035867189526925,47.35159864209672,50.37905740730725,50.10555325320785,52.407770606795225,48.404179417837035,49.79254523716668,47.95210504002028,47.53931569465583,45.029248912252086,43.22261459865177,43.4038864800149,42.427571404974174,38.739777785504955,40.924589539121854,38.70051591130559,40.86550620258517,42.53599951503593,44.1116090736506,40.570793446222716,38.440628175392646,42.22151182334579,40.69712322124125,34.85565369288428,38.21769793852916,43.00652187654726,37.91795660571556,36.41573952675064,39.94065839648226,40.18152595167861,35.43887819400327,36.696649140256746,34.67094729951978,39.69630254635323,34.62891171862385,37.60633168235559,41.421378671535734,44.14532215145678,48.161531656330204,48.75682426434392,51.83741976014533,50.25680350310329,53.112335443794024,51.89210100735665,53.96696976187484,51.48989615792856,46.34733613179389,49.446566896025395,50.01322513729199,45.32258832569069,44.36156030503142,46.450691531036156,43.6179907228786,40.02664605956312,40.618774169190196,40.098772273564,45.0109358415669,47.91091986042902,48.58367969345173,52.206130811596836,55.51230232095339,54.042419953921474,49.32862714558053,51.7931323647867,53.795982491056776,49.30419326982174,47.26010618625721,50.59642909656973,49.77064335207258,45.715873374125096,48.99934690148635,50.62394002917356,46.8644781859753,45.94772561089801,49.10061476980323,46.77253944233575,49.42748147882101,48.72096410785232,50.52778039622892,48.21345195147714,43.45029454414054,45.86352573246482,45.166741147926594,42.011347676343036,40.452250725899006,44.098915603894085,40.972367902834165,36.64700737845439,38.448308558281866,40.74664063492262,37.13143026426988,33.87780200799443,30.77202123095185,29.90964129710992,26.480903774478904,30.348011209294533,27.924508160929268,31.501574250251757,31.41701503045651,26.774603102571703,26.971400238092336,26.15869428621621,27.73188686473685,32.5066293367094,33.106441815516924,36.5675931414726,35.76745380661359,37.162226468762064,41.75043696738998,44.183784696924306,45.15680703637076,39.71027243702722,40.886483278424684,43.731411022235655,40.666355788653185,37.498898270482144,41.801457674232225,44.091484951556716,45.54227066746084,47.995051607339626,49.627681828138265],[35.07886703294862,34.41670723563825,35.82656893078324,32.60979073028233,35.637271928755965,39.18513519424917,40.961035777228446,45.62281286981558,45.32525533302782,45.420810831889085,48.60983054905939,51.89586987879205,49.61567070606123,47.36771445369422,52.26328198068949,53.37380373743729,49.878714375119486,52.90185578136424,51.96337997226728,54.54864265813066,55.82751131725854,58.04436695432492,57.44720348871053,54.61156742799336,53.36936276218196,50.934654215014696,50.47149311204742,48.687884224890134,52.082915496131065,53.9019407653964,57.93358766358888,58.322590021620634,62.481518571173474,64.85052578777581,61.748053737114,58.56770123553468,57.97079664776081,55.25194262284954,53.21276847031952,57.291228934805034,52.62539710878503,55.162454833913095,59.05989731859249,57.90200176904496,57.591659527760015,56.17040575146212,60.059449547240504,60.987877002101435,57.54666596707232,61.04628405495935,64.8453603544889,66.00332602539055,68.35366044822518,63.61641493651791,66.79828696388834,70.50612443915135,67.79715109363332,65.49047629238716,70.07572346459284,71.58883940343522,66.5396799668105,68.2444498252632,67.69277912434946,66.86841029356752,63.72174570236416,62.24188076202143,59.18288429803527,58.11661578515042,54.703336190884556,54.62884258396225,52.630799893237594,54.490311709463775,57.68824928312626,59.51763181163154,60.56493906717006,66.5269115539164,64.6546321287034,68.59878477741549,66.73465895493335,66.4843567937955,65.08952951550087,62.87426009623305,61.99650244629247,60.54678597856161,56.6291541197202,57.65299088818611,59.33427804678665,62.27558598749303,61.43392569428163,66.28667744312247,63.925173154669544,67.09729297855874,64.63875753709273,63.62431714819069,59.145324573205905,60.1532106624614,56.01855686472281,59.001764027944326,56.97314839498943,59.35601041155835,59.18508663548817,57.89270392292315,57.981050339343625,55.358256090702874,55.282116002355366,50.91993058795112,51.75146198242712,48.352306534362555,45.263922608726844,48.29953927689944,44.32675547077409,44.83302127957294,43.93836463326803,42.344067682159924,44.13005142623093,41.537787008144804,44.34760570105622,42.414131279554766,46.59349635739738,48.227489169876556,45.35152234044685,44.2398428655072,39.83678376301791,39.60506750077929,39.5784481758677,38.29935432010701,39.18544873911485,40.64841028672071,41.874280949981795,45.740910405903655,41.48725165424261,45.48862990327159,45.116261400442326,48.86771417370753,43.51864218057372,41.61117010476684,36.84719998582497,36.398038085724394,35.69610665485448,39.533014836867956,38.15967665891248,41.00208553439776,43.7363339430209,43.17492597402542,47.24194626234897,48.4133365629571,45.7475857052693,47.7203816049162,47.860910389182045,47.38770604050763,49.00207592788345,50.66693744932008,54.930578843344364,55.807944539275134,56.82109705673498,56.47682812689986,53.806305733715504,53.22709595857241,53.10673933575745,50.64939907939327,47.742668888428945,50.575044345805345,45.50169996793517,49.68929226323612,46.591104758286605,41.22052018862559,43.41830341958737,41.97124845219648,39.51105271023248,37.78935573839824,39.99449206003606,41.03322669322556,46.10146141755841,49.23649692238678,52.24849562541238,54.96577372509071,55.261563397041556,59.78965907004988,57.01519147123556,57.34917111309183,52.888779600215294,51.22688733574526,52.10335360797719,52.43729970623951,49.98486545975964,53.30511315460504,53.40146864029195,55.370044275466974,51.35726644829815,52.40861863134803,50.31398582248748,49.903732793490896,47.076884809083225,45.20361857133286,45.148640018021474,43.79860644108432,40.33247317594312,42.29599198637076,39.97850935387255,42.593985347102404,43.761040176229514,45.76979040484917,42.501919090896486,39.80907104350167,43.47473144985892,42.47348173678766,36.47340095134521,39.35441612377511,44.39546963183532,39.71245437601999,37.80579224985673,41.1360765888147,41.93876106987114,37.17890679090396,37.79045127441027,35.60737781798805,40.26150806065343,34.61677848346952,37.961554867180254,41.62275435516696,43.91179685320414,47.86121890791437,48.263368794014816,51.67045828065236,50.339942955817484,53.33133541493783,52.54437252716914,54.2505201339698,51.43923039324254,46.740217777107894,49.94787009513646,49.94524059035336,45.2771644810799,44.76302478996101,46.76575825252315,43.37167619959816,40.01948407885847,41.29570228109157,40.89816413899061,46.281060101900316,48.92730572441806,49.623401156030084,53.52335934013616,56.76387245480168,55.73591380839966,50.89582388510735,53.1552431702369,55.54457747716546,51.27451611468598,48.89049888614391,52.28189869288376,51.72458376250647,47.52037640473608,50.372195184985806,52.19734814237427,48.69642727062349,47.26607642639337,50.13157926262331,47.646205618261,50.23307723419027,49.72609856424308,51.10766348209449,48.59487718626654,44.22480626042057,46.437850726250716,45.25810073431262,42.22398383850813,40.9122448666989,43.9411339439468,40.47329878153522,36.659906637461454,38.44371059435318,40.03937661051485,36.24402999108788,33.388856237773865,30.859974838511587,29.07841773786678,26.172518944275854,30.03064433177696,28.542518391825617,32.469361355414996,33.13091962049286,28.342849170359372,28.390505216158076,27.000881359839127,28.932262739440777,33.62965063158901,35.05469595524531,38.4698256552786,38.310204476033554,39.51329664773662,44.20974190105374,46.53450266728325,47.97222857301418,42.523218810246796,43.38334402075199,46.571907969272075,43.909097495576994,40.415245525035374,44.638724413006955,47.193288465613335,48.826885851895284,51.24281999489389,52.73273448274074],[31.95230687683402,31.014321746612485,32.046487167401516,29.05612339310444,31.639863669187033,35.64243303007043,37.4063290466036,42.04227895543685,42.11120623716768,42.28711152166088,45.63419878589164,48.73465768554022,46.34272485846339,44.44908229373307,49.33875670837047,50.222149456889795,46.73328623800822,49.89329682415184,49.1623257843795,51.473716785947545,52.95041398093254,55.015137834569174,54.665763404789395,51.882513147057686,50.378548392008454,48.014722500362865,47.255438523319114,45.45220875304947,48.80525323545242,50.488021517398174,54.87460632457269,54.93223393459589,59.187496990495475,61.613319555149616,58.360595433367735,55.25747437053613,54.390797617250534,51.76182351707737,49.61647845840951,53.5347929307632,49.10405920943861,51.86724473114437,55.72465533035194,54.379908180556114,54.157322048810826,52.586366349053876,56.53746614788792,57.43310329289631,53.79701823370874,57.23345475485776,61.0734234307188,62.07425572231678,64.5136576180411,59.93311668212743,62.98668093102552,66.80159033163046,64.2629509079075,61.971312660951135,66.55625803771491,68.17007309237155,63.28393330740766,65.1749241246302,64.6295793107535,64.05946723913895,60.744081595225914,59.14336989604174,56.4059169648425,55.24969215697613,52.123346203106664,52.037731413827345,50.23898853506551,52.37287392151766,55.30897771094387,57.08369438938773,57.8281798781441,63.786485138340595,61.6510177107157,65.50524539846643,63.46136785413276,63.09243987129583,61.47528655317381,59.12056021776263,58.07745751220836,56.51292431166387,52.68631513163268,53.862180946890334,55.78021338270051,58.65253678527318,58.117685438235064,63.00053452177026,60.863906517085525,64.2418563321395,61.77798767944639,60.65399519156323,56.162577794261395,57.3626778746956,53.217644633405264,55.84096154323338,53.68683290448593,55.918541659926,55.59835505022113,54.03855010714296,54.0984291631727,51.26289367672648,50.983484016086464,46.61437525115949,47.274913853574986,43.80572924763053,40.783719046535815,43.94865944992356,40.124081939503164,40.74330785086633,40.144011824549445,38.59539174986042,40.739123056478526,38.19956175234784,41.16233234428943,39.491222694694834,43.85095675361168,45.34608636637825,42.61300674796168,41.379296479267445,36.91152648986929,36.43734904531994,36.22804617801115,34.55356567219592,35.18878825028043,36.50244457831388,37.526937612561056,41.324937496297636,36.90913193625675,40.82773459638995,40.52697875354497,44.34612076334833,39.084104854440646,37.34717983941777,32.43554609764954,32.30076362588483,31.89273419044177,35.78213260752846,34.812694207315324,37.76268838408896,40.50324144505289,39.74135019908818,43.71796025263452,44.872309071592504,42.16670806788802,44.07569059361807,44.027349814425456,43.7000615620839,45.13077112701534,47.05813090738654,51.17227203370414,52.347337016691796,53.407300035772984,52.86021216391937,50.21061334870863,49.37922171232212,49.37050376619029,46.61403201686976,43.70988482924185,46.76447550580943,41.68471951473155,45.827750691304544,42.62353244592194,37.31037509528244,39.25303683552089,37.891083604287466,35.2267005256648,33.63057799847187,35.72251075394793,36.95102912996006,41.96555230969645,45.099419868136614,48.18929356363889,50.861149645752114,51.38572178332759,55.7504716398202,52.974271977026916,53.1505596515566,48.69225227354136,46.916142348778976,47.67147148960465,48.00050207724412,45.65670315874133,49.18387863736384,49.493269010462264,51.409269172562,47.58066833702838,48.3858908248485,46.20181942420488,45.64703606754857,42.69393433432679,40.71309359478854,40.542814074091524,39.09756178969014,35.63227380414149,37.54200383429101,35.23775320110009,37.94993170008661,39.10195131209973,41.226484500023204,38.01301976324567,35.273491744626014,39.016176870857436,38.179528210682264,32.179986019779065,35.075832889453054,40.244937325938764,35.76380366318767,33.89872481188949,37.31602623950792,38.26698994126687,33.66352020234032,34.3130727179353,31.89499392209451,36.61822549092321,30.688718872463152,33.85366051683255,37.62591107119403,39.775953019994354,43.91350266972529,44.077815899024166,47.35969830112508,45.87902163341651,48.777142981695754,47.91335330280626,49.571944725543375,46.842869012784725,42.077462717255976,45.21462835797209,45.24542097722078,40.58308303925444,40.001044827508544,41.98191019282013,38.660133191234515,35.288648125464334,36.4988237620656,36.141607794590314,41.529779654396904,44.169455202964485,44.94972232450013,48.86346453790286,52.17491673798519,51.17017103938799,46.31597986230229,48.693413036580274,51.14475608638472,46.8925685547273,44.54980761912793,48.08500533446807,47.64704882090482,43.45179398861997,46.28275629487398,48.27272696310456,44.932162746469174,43.41684240777885,46.24590753272116,43.622225139449476,46.03369025145661,45.35935337787055,46.68666363721416,44.35867294387323,39.92030228189927,41.943895247292986,40.87163886719851,37.90572794804093,36.37718977728342,39.41873166633668,36.14049476693057,32.20731843124746,33.8145635613284,35.56576242464881,31.918826117597632,28.954284051594403,26.44532925950481,24.819569489141703,21.9992053437447,26.09523693090465,24.57599282617281,28.333192011412805,29.220163404687785,24.483127298364124,24.1846283649365,22.57856090334957,24.375630898551073,29.057451106701663,30.585521408579964,33.893408736869794,33.94393416253926,35.27913774101124,39.97933506843072,42.38837960887009,43.94039041607676,38.53013911441041,39.50871945408692,42.85967642727958,40.253707789818236,36.88738449251101,41.23593136366291,43.975311915851066,45.548179789979876,47.990154145231,49.42360288215766],[28.587809424533898,27.73303435318168,29.036159824658057,25.797008012289055,28.886079020275783,32.407012765734756,34.293889491721764,38.93280950796198,38.780964642113915,39.10086921565611,42.36101350555043,45.48862059347687,43.373094377378806,41.33756398735963,46.302997478085004,47.34170046195986,44.04012369746124,47.34310547261099,46.86174424371642,49.34223380267196,50.98812653560683,53.28678798955274,53.03804736886195,50.433951247783355,48.81683349449716,46.165486814054596,45.33536625716879,43.25170341221426,46.4121125267879,47.93432309751454,52.11754539063172,52.19519116189711,56.357940612050555,58.9380982414516,55.836740598374035,52.852008425929675,52.0277567678777,49.71097791225017,47.76969239169282,52.036714362849466,47.696197172049864,50.17658615839989,54.19604339905312,53.0499213983037,53.10721314772493,51.7620471919748,55.794970223312,56.37430228542576,52.75586571470876,56.500804803853406,60.115769341989335,61.08710048752976,63.37134008171763,58.64378130217062,61.5073793099747,65.41099789162162,62.936409559894635,60.36749789004003,64.87938949044737,66.71766638546737,61.710650777565895,63.37824837328954,62.60419474171521,62.15893881670486,58.99120357187988,57.20100279578026,54.276422001157364,52.87660267486242,49.65883742588596,49.3028797439054,47.52276243293177,49.59611645219372,52.55242704326417,54.58355899773528,55.24530534637843,61.29267189808625,59.36384886688873,63.12888515996645,61.25299933115553,61.12151708511826,59.47213951882823,57.36851232769081,56.161996553920886,54.868058308212625,51.095824269912264,51.95122624098155,53.843547433667524,56.486161612819394,55.89935972862918,60.560600163818975,58.31105031946103,61.582917722870576,58.969467771351326,57.74176681289967,53.18953860369991,54.217301244780835,50.023773847764595,52.785221522750135,50.60263639676443,52.78876823129701,52.771787423203975,51.30977975618759,51.61687783427344,48.8714870324969,49.015846065030885,44.52159900017623,45.38815369263446,42.1176005033095,38.84232181507056,41.758164120221494,37.6874270386389,38.3549609061319,37.39888400722052,36.05139745192271,38.009349179375654,35.6565936492091,38.719564087183294,37.324944996363904,41.65293958864478,42.84690481792816,39.9709521186199,38.55296034361131,34.200231980908114,33.60478928883819,33.254556340164356,31.992698260905115,32.5521220969047,34.21798677149094,35.500785738988455,39.56209284953486,35.46978532562898,39.59872145000018,39.49432477917035,42.99664633522746,37.78276821098214,35.657512612575744,30.95353874292474,30.55889440809475,30.01725044980844,33.886303145257244,33.03793892760524,36.292670614254945,38.732068421728464,37.79788152979932,41.90718972585928,42.74379677530378,39.92732073371264,41.60460042203119,41.54083472986452,40.89501353515445,42.354512483303324,43.98010246733861,48.18067929482475,49.05812743133463,50.154665553347265,49.830883952528076,47.26637599482968,46.64065821173776,46.72144467123946,44.24678100121748,41.632078391924146,44.68092552435471,39.85708186745104,44.18728610991777,41.37502142606707,36.23555906432348,38.41067231356578,37.46850872540471,34.726927224734546,32.74181681389171,34.647831582181205,35.492993592451825,40.517152939438276,43.46194945222638,46.35869531097513,48.86959329165893,49.133537536068886,53.68077381526231,51.16315887489418,51.43476723850686,47.23689752685096,45.19630799719244,46.425790200371424,47.05148073059308,44.612287449197815,48.14793233801766,48.265188857402556,50.580603962786014,46.961706852838354,47.875376948724806,45.84007435258373,45.08019883168768,42.27093776925624,40.14349037893956,39.96244848851788,38.62241636569924,34.81360974374193,36.62458029055112,34.091464767529345,36.38635243824129,37.64575044170222,39.3758110919232,36.01216801407334,33.492771883460485,37.149868765427534,35.88577799579562,29.93225113230716,33.01737984205987,37.934594625424225,33.0870979754485,31.349029850127387,34.802798759529075,35.393687044676255,30.680584414404176,31.61630235425665,29.426224675176005,34.34150045729521,29.018823975460734,32.083679834369484,35.867863262016535,38.49562806469398,42.51426073658831,43.08824160361876,46.24259418904019,44.764127522738725,47.71580292124461,46.68737610380029,48.74359835693445,46.11105170291542,41.103483263536845,44.37403898116066,44.85461138150974,40.12177994931108,39.36409728448034,41.64954128860799,38.64067601942214,34.963418353576806,36.0500878853934,35.20037974846162,40.41548024448214,43.12565432781468,43.60331038327416,47.3707411871467,50.54303403383012,49.35376537226311,44.56075314391941,46.79340559157019,49.014714568510016,44.68143152800456,42.37110861565148,45.714689436402,45.05931129534343,40.89847399634609,43.929638429655554,45.688346516980786,42.11179296615297,40.87962828297783,43.89102324780879,41.46455983317608,44.087729645804025,43.492593588741904,45.147740192482445,42.72181374604157,38.10004727662901,40.511234425911546,39.63303819766485,36.47996387349683,35.08781903864842,38.61743722427155,35.34756623841399,31.129892154044207,33.10352131574494,35.2655976925837,31.537840143290612,28.32746253660291,25.253371985691317,24.295241742248336,20.84637631743087,24.679148569002834,22.4725200894942,26.195150933112554,26.523769576366764,21.780570498012878,21.894607916272154,20.861134654386788,22.74563723668484,27.478454364333746,28.56269439716739,32.14403321943266,31.803774589421156,32.79918579496559,37.489135936451746,39.78463479176227,41.1800373648611,35.72000878048984,36.585195218695056,39.75135180797035,37.09891394088084,33.61339358878126,37.89243357911323,40.487956940896424,42.0935790920388,44.535118922766195,46.018358344758205],[28.90355664901972,28.543139356705183,30.44752806875522,27.58975777129683,31.25829983297962,34.307382060123594,36.57316794305845,41.13087158011551,40.87382129348821,41.541838453629744,44.68707843525431,47.753571481887214,46.06458457450779,43.93859188578088,48.97280073548102,50.16444241258503,47.09569362867417,50.53335131987965,50.25505190338186,52.86361838327397,54.6087468710083,57.04994397277156,56.83528590473727,54.31678219774302,52.678450947551624,49.872896036043706,49.01088312732591,46.74249642441412,49.72645713655693,51.058997722252826,55.07581129105852,55.10029142553265,59.16129649557392,61.931818006910355,58.966220620865265,56.12283929553167,55.27251398550094,53.25218734387791,51.43773977789339,55.85755244281807,51.62406575502601,53.971088203770755,58.06447577295701,56.99681660470994,57.17735516164842,55.884159610061516,59.93601629495558,60.41292078694867,56.76835058598625,60.57995382366007,64.13611941506487,65.04460092130158,67.29858175244182,62.565529855602854,65.2919668179729,69.26617853119475,66.86324204656721,64.15828362319638,68.62204811132244,70.59308148527178,65.54636572517032,67.09026775933367,66.1689342379865,65.7908532267703,62.72887743804203,60.83009372116151,57.76702501237617,56.196703113030914,52.88496052111859,52.289161285112975,50.501778688677014,52.44481146535436,55.471755830114446,57.737437571264145,58.366474099409636,64.4761645496547,62.735948280021105,66.41633292982574,64.66984022681862,64.70175738784774,62.98770584948325,61.023659380476374,59.632405584453856,58.477085395335855,54.79873109820292,55.49996960322007,57.440467437134345,59.87758151425613,59.3192179676363,63.777730151200124,61.45413052581421,64.61797243794044,61.85683489335104,60.506935250517856,55.8965791185295,56.71168043423511,52.468157867798816,55.335522157122725,53.06102618693595,55.02777372858043,55.44769170697723,53.88882793011517,54.555599516240015,51.70309182287635,52.122300098982535,47.47554509828836,48.24570198843148,45.08051520721636,41.588662163557736,44.424021359611736,40.25626694748353,41.25930153677799,40.11107726818718,39.10670638414535,41.006578216155056,38.886763002523715,42.042322209891246,40.88038795537864,45.13893521415816,46.10450479209477,43.110620111650505,41.52301883453328,37.32264108652491,36.58102616823194,35.98928630056499,35.06782694622469,35.20929974344369,37.22295122746423,38.50733037654184,42.752490836413806,38.676521374655024,42.767730838032485,42.97267000781425,46.374776912819726,41.33979698431697,39.14315724392454,34.4515289479034,34.17905745272286,33.696556177429436,37.54279562558594,36.8350869706693,40.24829112726334,42.52728444540217,41.476241109643816,45.6379898344984,46.24531056564719,43.34280973338404,44.76439770064174,44.566306596245795,43.58968422617984,44.858037618809504,46.173511688418344,50.28876095361993,50.750116109728815,52.113930063976525,52.103313485930215,49.759988494427425,49.23188996975553,49.576571601514736,47.21830175384157,44.95234199742932,48.11616522952688,43.50815892933225,47.920553204265254,45.28295014795851,40.2593286570088,42.39246807967692,41.593541494021316,38.731830423018565,36.73884007871825,38.49346022365112,39.27056054814332,44.242642049258556,47.05454885153693,49.85060660776157,52.17717719131286,52.35398110770222,56.9473740905411,54.663356087919404,54.88821447397755,50.890003315932866,48.55951291922683,49.987282540898356,50.752442339259936,48.385432868329396,52.052517183005754,52.1815685441319,54.61953716701867,51.12431008348859,51.98076938629031,49.933848469212805,49.05558111440773,46.187357938896845,43.927828964134726,43.58348399286324,42.06575672541439,38.16048256518559,39.667808179189755,36.8286478472364,39.041985471419,39.908062187768635,41.55407154988095,38.313009121956505,35.53459373694641,38.879180446293006,37.59388621499186,31.64089903766707,34.36534441125859,39.10759720461343,34.21651759525699,32.20448781677007,35.37878892877822,36.03963001415507,31.162736926904483,31.69886946384589,29.795433078964376,34.41569452382863,29.42968939416683,32.84106256159292,36.359640311805634,39.137013381330796,42.811503015454726,43.7903413708985,47.193375955273204,46.06629257891075,49.25034310829856,48.52458941262453,50.6696500850665,47.777634659080285,43.01573199143277,46.560201337211396,46.94398373696906,42.17827123454475,41.721930787927526,44.2409693716481,40.99245111802108,37.266605317363364,38.930765840754546,37.67256051298137,43.11017931667529,45.62542016696012,45.744326816536756,49.58791528928065,52.47475248755397,51.515870441058276,46.715706920901084,48.49265586369966,50.78553783042869,46.614184796971315,44.000375663801975,47.05978011679358,46.36305438077345,42.1329143373363,44.928648868391925,46.50908927082953,42.86023837113486,41.49618969059384,44.414753260622795,42.16048731039664,45.036783178065164,44.840383056658965,46.45032474112698,43.62044217849451,39.281876910629904,42.00973630463364,40.79679686354866,37.54864089155409,36.710579041098065,40.09963635540735,36.40157251738242,32.52354320705938,34.955937154489945,36.73127961136054,32.669593661112465,29.707413442692992,26.678015617947906,25.375853130202316,21.838681020638557,25.124765403149354,23.249663861421762,27.328175807590195,27.672882310419812,22.88717561677671,23.526927203584794,22.66365983227322,25.045604238262555,29.63229419650288,30.982582244762895,34.801210149666076,34.56180194405878,34.89593884666222,39.599845012722895,41.57598856369605,43.171356899007556,37.713661018308926,38.04739727788898,41.202474923563884,38.89870850546512,34.93045537474029,38.908907139217064,41.42971967718209,43.26315031762223,45.60352516889236,47.02249861855979],[29.93441001874148,29.367358717030637,30.774324914209924,28.650175280027373,31.516597443727495,35.4421778794132,37.74176474358292,42.242638785790284,42.61554396678206,43.36948081895873,46.7473416398132,49.5551604331689,47.61519494633926,45.99975711013577,50.98462138230956,51.82058422247391,48.6483972393149,52.145144972281145,51.90511723030531,54.088993909345774,55.90515274060071,57.98855646237828,57.940887166431395,55.318705707219394,53.51920397086724,51.038308155404344,49.919565419610315,47.850014319209656,50.92162209961939,52.19554958766633,56.765626779917305,56.374037876938445,60.60580702342474,63.354649189749416,60.10975928395979,57.28160937063278,56.068294669482036,53.938146989311434,51.83976891733548,55.76599708164261,51.74735979636543,54.59179000541057,58.49324098218911,57.03924419517289,57.06317189670251,55.39048912222449,59.42540911634672,60.16704884465962,56.280892288089646,59.715752674647995,63.52843156913685,64.26875306634736,66.77165651046582,62.36525185558846,65.0988118829172,69.12215342532501,66.86934530638209,64.43339536525042,68.9429301240974,70.83333072399684,66.0852059616012,68.01725002746595,67.2962624428157,67.08461279202521,63.728159282128814,61.8648115044451,59.29713754304426,57.82658363924555,54.8834929991441,54.473969551160934,52.87699273616274,55.12943788129903,57.88575919387806,59.9077265531432,60.289864154713094,66.32534959894343,64.14939416651974,67.79495159103581,65.71951783787402,65.42866529432423,63.47309389475554,61.13696735532615,59.65383934624567,58.131027033035224,54.541652504621226,55.69628897928901,57.95417811996542,60.47520824065894,60.331499460418065,64.98324671363626,63.000476420176916,66.46421861384778,63.79925215758535,62.39091035692791,57.80324033553379,58.93160929659654,54.7035199538916,57.065584363066435,54.63587579404345,56.38302275888284,56.492023194203604,54.45971229220938,54.989948389137,51.72645564532158,51.56599572288572,46.96585361552734,47.24321064554158,43.81471720524251,40.562623706460585,43.80844413516616,40.037642732475554,41.30189848992242,40.80453174762573,39.79414985125668,42.28857690854524,40.12355166609173,43.39030568537969,42.29970446642863,46.77170124852339,47.822558324534526,45.08284003612037,43.49138015115573,39.145739522774186,38.201485094346644,37.44685931187789,35.770477883442624,35.49050982330801,37.11670754682542,37.87093814613697,41.84868679270619,37.21750762456024,40.95576714286721,41.20805184974905,44.99110008274036,40.10376529173754,38.49940761401419,33.39896996316116,33.86778280644156,33.88852486517447,37.83271525230427,37.5372960731169,40.79171157477436,43.30881588894752,42.1738608884964,46.10916372591912,46.93762431920002,44.069864289002766,45.55385950816936,45.08917541856725,44.47598757566893,45.40622706456489,47.227854919407065,51.035073814022574,51.99228158537066,53.49644797093579,53.142862831947966,50.830460917559456,49.81956972689397,50.32277193792861,47.3483966544632,44.933660875715276,48.42229135439312,43.6270908787299,47.82626727003665,44.72697296547449,39.64985552571569,41.20604811240585,40.130261514109414,37.057940467647526,35.633852056567804,37.36614074914819,38.74402932510407,43.61541329373202,46.56751141666544,49.61880509213984,51.981164589360894,52.6736262897637,56.89938139480011,54.438670179280436,54.34978825265501,50.162374103941765,47.84071876104465,48.69989952153963,49.20178892394503,47.109774395846536,51.07547019646609,51.66950858463932,53.664797353397596,50.21108439155501,50.63778472350993,48.315102940950304,47.433468113197044,44.235619912262024,41.9404147086582,41.37394820870752,39.51420921786349,35.93561103513753,37.298309268261264,34.54219633711746,37.31417873333083,37.80047684441741,40.013580197198316,37.07794621561475,33.81381850122275,37.18915760880539,36.60648437396647,30.56182079028746,32.88700007046943,38.025195981530736,33.788768072299305,31.51200496697068,34.61662640592205,35.95556337346653,31.310140558988095,31.32641555460565,28.975071301001446,33.29756968663214,27.32140329329932,30.86239220777794,34.37464676255169,36.47551612422683,40.34415830773145,40.76095375218169,44.326344559399054,43.222781972057966,46.3794388213392,45.94395051414188,47.60355809243767,44.52386466033784,40.12584037809037,43.59887155492459,43.420001042013745,38.72080144157903,38.58684349661423,40.8781023543996,37.18235197361534,33.755098811772626,35.867196011242676,34.961624932178616,40.76235659931365,43.06987671931947,43.43463892854913,47.52486852720162,50.50706963619978,49.927918921523684,45.020290433525396,46.85764043600989,49.55477078151094,45.58173766378209,42.798758232779925,46.1217310042193,45.81266938158512,41.499104058934556,43.9020210665202,45.87934742474388,42.676933294169565,40.773475358906786,43.37370237483404,40.78851290613059,43.33793921279771,43.06698035809306,44.18450139369714,41.45587898269612,37.409088768372406,39.62397701199885,38.096656866960785,35.09109424807149,34.148902862722736,36.88865871632395,33.12568436399235,29.633943279446804,31.718164338374034,32.94347705378852,28.925001720311375,26.266036988766793,23.94382146182002,21.777525744531715,19.010611417336737,22.66071913040815,21.804518823095233,25.9467748735313,27.28249661756898,22.51212574484758,22.494068100050626,20.754478501207203,23.19316873667144,27.64536641458898,29.837758659853638,33.359030292737195,33.87579820474125,34.41592342879405,39.16172660216312,41.21005051574211,43.237810445132475,37.868631631572704,38.207216949964725,41.780556921251225,39.77312699804963,35.853753052017616,39.91615106246046,42.82989939257246,44.6776566981756,47.02790937409665,48.29108102502102],[27.486112102191772,26.516011242984156,27.439198514829627,25.15505166784044,27.580086268391952,31.855165301129762,33.95422494461223,38.46666607600303,39.01459795979515,39.64715728795989,43.119928648397234,45.86908929378424,43.72172448767528,42.29616419656115,47.232647070319224,47.91533588141754,44.68443493754356,48.19105556738491,48.003830472147406,50.02598714064073,51.91792002230041,53.90962331002274,53.984959862065196,51.403196640295,49.471012747070375,47.04091855647184,45.78717094202111,43.743934076146836,46.82134066425933,48.08580851465114,52.838021554867964,52.33337590183389,56.62790027045962,59.326269713182974,55.989584862337104,53.159344584903266,51.85278787215671,49.69291586040178,47.54048074331818,51.394368794378394,47.466421896558955,50.396981925907205,54.26938919108909,52.75375520875227,52.83540965808481,51.145596511658226,55.21488981551554,55.895927340666155,51.951972794037694,55.41743166641668,59.196748760023844,59.89679762124586,62.39759504076892,58.0135004784253,60.71111030904601,64.75829288552269,62.56210698143007,60.1319729303164,64.6333082634194,66.55669867979118,61.876045512872,63.88330473138771,63.18448164294312,63.086155889784465,59.653404146390315,57.74911288536385,55.36501476089306,53.88623799815018,51.11545724261774,50.76215389976262,49.27582712189395,51.69422432236961,54.28157039116849,56.20764264761224,56.449013566452074,62.45128696503247,60.11520846041156,63.732296458551566,61.55780166148441,61.1911996879466,59.16894310339131,56.7708845392285,55.27539745524347,53.70635915824068,50.12627795775109,51.34119999568049,53.66562219692239,56.19685960038367,56.16353527543352,60.86651863854592,59.00011176096443,62.57572041758303,59.961013543641975,58.54967198292963,53.98851545784978,55.271933078147065,51.072232408628935,53.2405412536714,50.808287880478225,52.59848864281874,52.4685582568219,50.40523205879239,50.781303260480826,47.5160132680192,47.22615263404177,42.68150477098365,42.99764480477543,39.529168017200796,36.36163587123795,39.646863502859816,35.936780158940834,37.076144778175625,36.7384616617081,35.62199474128686,38.266278844041516,36.06942967117737,39.36671869590412,38.35353814323443,42.916212276524035,43.93545116229002,41.30956464699762,39.71265972204046,35.324114812830096,34.30929177943082,33.55654398333224,31.609825056565704,31.39998513811064,32.84357088538532,33.55822363503029,37.46634769390135,32.842999054210765,36.63362400693318,36.79822642725962,40.5758209460231,35.642486508100546,34.05729528453501,28.93576149309522,29.452640073485153,29.568469179262387,33.53592723745797,33.43113732989452,36.696212152940696,39.19046824564619,37.97971944145987,41.84856662488699,42.70152822655291,39.84701207440121,41.36873946238218,40.882622955180565,40.440929863861925,41.39681887709892,43.432448828746054,47.23664916663754,48.48986330262829,49.86312900800191,49.294956032762,46.892175430036644,45.76819541404392,46.195497293908375,43.10034983820384,40.57806275854558,44.0972604716208,39.269992261283384,43.438593261044524,40.31344891314979,35.27476163629679,36.78075487147209,35.795986826398675,32.6663643959246,31.206929566442856,32.900329718315554,34.3034150244059,39.163628052479034,42.12869636820535,45.210947828703986,47.60558304654269,48.3776070581041,52.54461236499955,50.028446789537796,49.923692116845274,45.70702758313583,43.42364514373392,44.252876011167594,44.76234717672114,42.651832427103244,46.63789002317737,47.2668820342069,49.28681520339362,45.91635021884184,46.29237837689152,43.98193334945088,43.035252759209364,39.864452457258345,37.545833215466594,37.01406616169611,35.24385672058117,31.602234889404784,33.09293225849163,30.453144402841676,33.19709039048851,33.96409225370386,36.162431573277814,33.124287615584144,30.063104019708756,33.6626688346457,33.032160991503986,26.993763750681072,29.628631568450828,34.86909592609175,30.634033688277647,28.59949446859142,31.94845879486027,33.187151629972966,28.69718788188309,29.094319908638496,26.518813308409882,31.147098679853944,25.022920061059583,28.195007603738123,31.96092587039461,34.076778601312654,38.23351322328547,38.41687114002548,41.699663493919935,40.274737979646915,43.25058441999461,42.50814527642951,44.23461982694755,41.4020509138135,36.7024434900751,40.010394648422604,40.07885716639558,35.36796606219588,34.928111639701925,37.165906926631756,33.773204937072215,30.242253195153964,31.901839802857864,31.107022977476163,36.722819873517686,39.18463253776153,39.72417518600756,43.728035803291476,46.888698407775316,46.10405485319532,41.20828249866917,43.356334057908924,45.96026809997699,41.85589393275393,39.298784447636216,42.815322553009544,42.51499422277838,38.26150128535698,40.882784434654646,42.97470460620464,39.81347865128994,38.058062210404614,40.76966187237446,38.07439671225682,40.44788929462727,39.8541042776988,41.09797018775304,38.6961394100516,34.345429763637185,36.39645976318876,35.2233274096448,32.23974490977269,30.85096945849173,33.888150076784626,30.51882546739058,26.595746526103994,28.41613772715482,30.16504734499873,26.41910053513734,23.401776744874,20.814543314522115,19.23930512539253,16.301058344880275,20.41587728432021,19.047189948608835,22.856624590363683,24.12774142873192,19.415004352256247,18.98088709008996,17.161621384920956,19.25306502424603,23.827504328637758,25.805869588921098,29.210855468630402,29.66440449207658,30.578856167468118,35.308113992489616,37.560243459407666,39.46702459940675,34.10962314957083,34.79614697455861,38.38582686520049,36.19105588506066,32.604594913679726,36.86118703872144,39.87310675857474,41.568285612186905,44.00284484958558,45.2863621312263],[22.607577783783608,22.099854998400062,23.920591826713117,21.456120255328223,25.158686901817717,28.279143504091326,30.824796463721466,35.282862730961945,35.393003036667295,36.46836835706484,39.7182406229563,42.472565065352256,41.02570495584296,39.31462291123779,44.38848987505762,45.41023818936794,42.61765832776834,46.39113421636324,46.68005928858418,49.04126696745148,51.210707914390966,53.633943352897404,53.84798688910364,51.583055667031225,49.51711708047805,46.583903380483555,45.247366462808934,42.69331830341424,45.361657859358345,46.27903374577442,50.57500570544005,50.09953516731029,54.173839432963135,57.20223484350356,54.196636902136675,51.628990797419554,50.40722290796163,48.88949355526674,47.14299869547283,51.608823668998554,47.862793699883575,50.24729924091564,54.38630258127523,53.24639574867272,53.79920390312188,52.506689376975494,56.673396435080264,56.83002640623078,52.95354522818814,56.90543207134622,60.291059743054596,60.936538922875506,63.16255680605439,58.55540078737125,60.898286091673825,65.0846896967346,63.00423740068879,60.094694571153234,64.44416355528377,66.75150388460774,61.8662182637027,63.4445958463386,62.32596477471686,62.42145540640756,59.29967444119657,57.07395652543046,54.31033164312673,52.38764247886586,49.417772331782864,48.525791041129736,47.06139588328983,49.288938257931704,51.9455352092096,54.38306950410917,54.50251652976246,60.65130639498125,58.76168353526654,62.19553205911484,60.370976975504234,60.465751677688374,58.3963064844425,56.48378264011471,54.67175542507204,53.615305028923665,50.174676428320375,50.78643980273742,53.05342224628775,55.12255340625211,54.98774699060591,59.22420695077717,57.12948273746775,60.45610808761942,57.541308330752024,55.91581624713663,51.24241631667325,52.124360062902866,47.83366127721667,50.29106830974979,47.7753328724549,49.37754897494479,49.98446249941117,48.05293662155782,49.021323538305666,45.8780740283207,46.44291420154469,41.642688626279096,42.266699328389045,39.21651385052273,35.53200827510139,38.31617868691239,34.14614994231163,35.53793927678217,34.47984509647593,33.89682142406321,36.16493005989424,34.413713963707465,37.88027674943382,37.41307587283302,41.83131932198367,42.26785140651914,39.368384998234575,37.407482883766285,33.32820808454139,32.05356922325595,30.93744369255884,29.903979495226054,29.33768807269985,31.57568790717945,32.73940077950561,37.14984285575682,33.146035103920504,37.2253630221623,37.843776869020694,41.00802301911563,36.28211436972474,34.02840800364367,29.356288072477636,29.45231953497828,29.347988338539153,33.19826151899496,33.297298360377546,37.06323620268799,38.9979871268581,37.49433261964986,41.5724915487843,41.80733142486029,38.759692857356264,39.768666690099195,39.20377365256768,38.04925666078453,38.952066075270565,40.29137348089687,44.193023444328155,44.702931129343455,46.28581727800907,46.27024141246445,44.13245578126986,43.41900293157436,44.12558874230104,41.5917446286219,39.73986514922207,43.25895882589073,38.98784961829972,43.45956401629242,41.07487330658799,36.40750476771293,38.2827194647391,38.00372460298966,34.79546698810753,32.72529920867087,34.05114323135052,34.762544115074974,39.56310397991154,42.134357933379945,44.825384960647554,46.86084176615976,47.14217347404122,51.6214683354447,49.64554551498215,49.68920040434569,46.009970762483775,43.196182822897484,44.89091789935796,45.93174386236772,43.70484123046102,47.69495654402642,47.992779984197504,50.676715869729556,47.67705712403565,48.23406058564523,46.1811884475673,44.91104444691133,41.99184487288143,39.43854714981947,38.84858697268267,37.213344960827406,33.03579849981657,34.20739436661817,31.074850075932588,33.01493034837627,33.75184732373226,35.19284545368607,31.979508975778927,29.193139426528546,32.42628706931327,31.017878617001486,25.090200695430223,27.8376688376265,32.497516417172605,27.56498029385667,25.585769568749626,28.83467051304133,29.462681521500123,24.629629858461872,25.310619576702358,23.33110643229471,28.153373883675133,23.391484580311126,26.57695978460562,30.1805390556651,33.232400286078935,36.95752711987544,38.081462931498585,41.264882462865344,40.05901690697541,43.23622165065976,42.38594489826542,44.81525506592343,42.02944366902717,37.10089312621582,40.74443803651024,41.5070447934492,36.72116348854503,36.15136985890436,38.97407053323116,36.02311599373947,32.034883288764746,33.73889173297085,31.934761829855606,37.29184327058897,39.747787089256775,39.58165256101729,43.34692113137723,46.10485306906814,45.12752394082575,40.35860737348002,41.99591669176028,44.23179773614763,40.08825117871151,37.424304050365066,40.432114191331536,39.724456089607706,35.48829847815216,38.32772012917183,39.906800537866154,36.27413137971917,34.94111690125929,37.928661263882105,35.68676762005621,38.584210684956744,38.364769929070114,40.1488270502534,37.35190306391313,32.86333420875087,35.77449600377038,34.754528894812786,31.409379632978972,30.605329150212572,34.373921386278184,30.814944774828984,26.655563997114402,29.352481499505704,31.546014120575137,27.549548097585124,24.33156603483909,20.816173293145503,20.310212997770126,16.24720822986893,19.35421489380209,16.852707320622308,20.814947114528255,21.015506597129715,16.234501398923715,17.013149194900016,16.496687645489565,19.0200768644376,23.48846579258662,24.766300412830695,28.75342052868906,28.56064398998656,28.46656990236596,33.1683441441457,35.0273489194463,36.77114906182325,31.33567965211156,31.496933490728143,34.76293102573813,32.691277072182004,28.583631007889576,32.55681797909766,35.276876072307886,37.1718048599312,39.54063779782869,40.88671468955411],[24.3878003069226,23.1849357344359,24.1343430106395,20.758983778042857,23.663863278228053,27.333555546071462,29.182315049837033,33.81531553320632,33.84849460813371,34.25076336471561,37.604590798451866,40.59731504857994,38.482023765751876,36.68424966306577,41.6640985313237,42.57673253714327,39.37220372794836,42.854258917490895,42.68830296457416,45.01587675708012,46.922645239587816,49.21933540098923,49.24367149051527,46.809231519246104,44.90556043815555,42.15533114866561,41.03155222187197,38.775992255315984,41.78073919161523,43.10710199950991,47.47344175005178,47.29889148235741,51.491903893387686,54.1774733942167,51.03251443822017,48.171474161952595,47.16050452795575,45.084422178408005,43.1848684167483,47.52782269565475,43.446176317651386,45.92166608907449,49.9904977455159,48.82966434116367,49.1400488583842,47.8439334349941,51.96133168271438,52.29753752636041,48.56127097900691,52.45822996429285,55.931611307501385,56.77343854395474,59.006676899777965,54.305704132049804,56.953242250008024,60.97680271433098,58.67341011648803,55.95652760922829,60.409253596870855,62.45230420407291,57.513929990960726,59.191919972494084,58.29621709470966,58.13728185383207,54.927640758386836,52.93275824453622,50.187220826534116,48.58287951448819,45.58150908974714,45.08006646757706,43.499305138324424,45.78607956433039,48.49606798469505,50.596517970015405,50.94862437688787,57.023826901421856,54.98035617098296,58.61732061674409,56.68690814295616,56.590660892382054,54.754494690400136,52.69328498252141,51.28184315879089,50.066228739476315,46.39546204157651,47.16888097423771,49.22056801072383,51.67825756550613,51.304994992407686,55.86846637017536,53.74849061486093,57.134436686360374,54.4545806197531,53.09442290430547,48.51396072579162,49.63254955457532,45.42179831979188,47.94120349739464,45.660508260678654,47.74464303677641,47.70444746358362,46.12131321772831,46.4903542579036,43.67077987831965,43.8980500575869,39.35427228366621,40.27297636254605,37.078909358244054,33.72819740892575,36.5686147946276,32.458403635646164,33.15965011554365,32.23253799191338,30.99559225744289,33.13886884781445,30.93287494243684,34.174208343605365,33.17794843993086,37.62609161986002,38.51867765385301,35.71038024149486,34.09305762472358,29.763982654717584,28.885442076814194,28.316467679798723,26.935899267742503,27.31889485229717,29.037001911353897,30.353525477092045,34.506473132772655,30.564584641498467,34.79416143631193,34.81864785224124,38.127662819575036,32.99701669455812,30.72582335796466,26.09401520390242,25.733848081384807,25.331246205127226,29.221379341889403,28.836161206038824,32.342473327647355,34.550849719619364,33.341261706553,37.428931086654,38.05587074200584,35.15455425416211,36.652677294542165,36.44763065434903,35.77213122727765,37.148342564025924,38.8542706412032,43.01513237126796,44.04171656494112,45.12323166565724,44.70477495608906,42.161340643436915,41.45167704011331,41.62202374107878,39.08276974206961,36.60976339652582,39.80403698111477,35.140550561295726,39.53778210245441,36.91559984219105,31.97929836691861,34.11428564813256,33.55934468433704,30.644111075444446,28.46608059566437,30.135413596025423,30.837236657137733,35.8057114160813,38.62100249896317,41.44737422896503,43.83789425985679,44.11475286007205,48.64319336484664,46.26572245876195,46.49442886629912,42.45970295318238,40.20153542615139,41.64981662789915,42.46629389586956,40.0312090895867,43.69093903192188,43.83132582041374,46.37016963251113,43.05402400445397,43.85852150638846,41.87976956875706,40.880473154873215,38.12184944017377,35.839038946225216,35.604097332496856,34.3384888402768,30.30178214228199,32.06468839135698,29.470822706638913,31.49478958718013,32.96444392862623,34.47489982104971,31.001344135923578,28.74096150988805,32.47868585729978,31.00110879798972,25.123619380766794,28.50389224166861,33.342623599662616,28.398935147278042,26.92745729335194,30.5622809000285,30.943762911840828,26.377948980546694,27.73422113854533,25.460547098460314,30.64339670831311,25.56213987607549,28.20353004686069,32.141098093543704,34.96804560224933,39.111576559017365,39.69065463432799,42.526293024898784,40.816930354904656,43.63664198870311,42.31561452796582,44.61491615531936,42.22800243800256,36.9275818457278,40.13081036883693,41.03320380592688,36.30580651980931,35.24958733500518,37.66899628219812,35.091257002732874,31.207796667472245,31.920218196880924,30.830291352850555,35.78134812194059,38.594627654278604,39.0111060805641,42.62721898121702,45.83102458863879,44.436588767932484,39.69794286654986,42.05647132151034,44.113369079397074,39.68305383759057,37.54516367922611,40.93922279947896,40.22288040688781,36.135931101993634,39.38557987036748,41.14757144649747,37.554680467913755,36.53602994446536,39.67955596202853,37.25553547736697,39.802252138603414,38.99857147052178,40.88460254521131,38.686958539302324,33.79039279157836,36.23877906834157,35.736851461387246,32.54902139934265,30.906367492182458,34.87325862584967,31.961980685964445,27.340436251289837,29.28865211213217,32.03453484903234,28.55009380879721,25.017527726034874,21.497290263767795,21.45853823610166,17.667213257529074,21.54264964270444,18.598122296605467,21.89824355637255,21.898403178991877,17.294859853157018,17.25532396698543,16.55277596738244,18.138270138081342,22.88308580346692,23.549665663659948,27.17126637232234,26.631043507856806,27.68452365342463,32.34573065776487,34.72227593962582,36.01352255491565,30.557434864812475,31.614138317557956,34.75798876746783,32.01106499929,28.71612731569495,33.12436627196187,35.80045971131116,37.312601042985946,39.817919364254344,41.312565281521564],[25.065643211658415,24.30817847366154,26.01799438451223,21.887766743320483,25.891318411964097,28.156177184752128,29.97131079002703,34.578044064046516,33.71156645511717,34.01506926438679,36.98461401284926,40.320452138268415,38.61349017516564,36.081598915347804,41.09382577100758,42.51919665250683,39.492823203351925,42.84678455726077,42.59757210467165,45.50637733668233,47.26473503317166,50.0186286883601,49.77847264409295,47.47305643443448,45.85350397630287,42.715206478836414,41.992490416145365,39.514983558009796,42.376328217861214,43.779175470742295,47.32949081593543,47.73761207462733,51.65987988544823,54.36098468356934,51.61843923263229,48.75517176986918,48.24980611226078,46.32844309597522,44.82178889331877,49.72745157256895,45.393456587545124,47.19757935194841,51.46285339135197,50.80434665455043,51.26441286128232,50.43962502703105,54.51353070491114,54.566527485561544,51.18483711116855,55.46153529303051,58.617455526415554,59.67143707989938,61.595411566981234,56.539162721250584,59.17977525974158,63.09536053346896,60.60402507547234,57.596782808761276,61.95934754810062,64.06166260078446,58.77546947082144,59.94144137223014,58.80861207774197,58.39360093167447,55.59778129513345,53.60139555399916,50.18961354488163,48.48591765895667,44.96871638730411,44.21968255365593,42.35488568278242,44.16425337625097,47.2796208201082,49.70849444822336,50.435056085996514,56.57678413468594,55.14693873676031,58.82073814909708,57.342861321230956,57.66372641395472,56.1695337713554,54.595604832487176,53.32659628815921,52.573606088978515,48.835212654207226,49.03588469180975,50.64313470025457,52.981804231790846,52.05195595501869,56.33231978852826,53.75820827146272,56.70815731355116,53.91080877069673,52.64253599162503,48.05488416224239,48.713471469529935,44.49975156292012,47.72888370068973,45.67315141142077,48.0147567933572,48.43608918513701,47.47423647931348,48.049553158951355,45.77324961850145,46.72786215841506,42.19062011253511,43.65065578522654,40.830491686857414,37.25489786411101,39.54399845013545,35.03777499237367,35.444048641946296,33.662292190881836,32.48913968723185,33.74374854530037,31.640066317379787,34.649604111474744,33.518658113443,37.58620721817049,38.38492529786821,35.22908455468812,33.654296622885,29.597605805490772,29.060534051030814,28.746369112771422,28.51724743804095,29.42706000369372,31.633672453306374,33.56329425231256,37.93831559526891,34.72775202223618,39.207001395800596,39.206193792595435,42.02909960863454,36.86526926394625,33.9715727135776,29.987302620907,28.74181111074553,27.672004574592766,31.302136693198182,30.298774688903418,33.88630361133998,35.76427790373633,34.733224026271664,39.04956298024154,39.39229930900788,36.50164249090139,37.89158527138257,38.04659887483197,36.868464293177226,38.64814709450543,39.614686859644856,44.1103491086106,44.411317393589684,45.3378688010377,45.42497126810056,42.89795480893754,42.84486931964725,42.830812978002065,41.14007564186614,38.92306190386592,41.63718600583508,37.296977495180236,41.875231743147936,39.85836186119456,35.07846292648442,37.85108094397828,37.562446151042145,34.997461438668054,32.27578899418441,33.94717583776539,33.91962909585308,38.88660574118651,41.478483098344206,43.94109472364599,46.24756508297071,45.867183698423666,50.80406630864697,48.67903114624164,49.284629802681366,45.53323901635587,43.304937113976855,45.382211948300125,46.46760867434778,43.77090958647308,47.0090416654549,46.58984603716631,49.58653768725432,46.22227903843925,47.53222331946778,45.8893581347319,44.943262903199816,42.592092143195785,40.41676557128368,40.416596222220676,39.49912443884573,35.26016546509525,37.07597268197135,34.4194254284279,35.819139314423644,37.529857596367314,38.41238414097981,34.73669920668212,32.97736242228233,36.48444749947876,34.3030426598155,28.711696277858014,32.27128700406331,36.517849800500535,30.969994267974325,29.74225501961158,33.251647725911575,32.898266668311976,28.130818961962312,29.894993989199314,28.272618076174663,33.5005043951754,29.601440661699197,32.22172103935767,35.96719827985393,39.4073482371133,43.18356939407241,44.40412845000049,47.16897218496641,45.598540227227346,48.49271834663368,47.026980255757024,49.75516662863379,47.47067587629991,42.02280971867154,45.319117954149924,46.64659733880765,41.92083386658638,40.715425153147585,43.337897313783145,41.07207693320035,37.02573540803707,37.512651473574344,36.060758911258915,40.62092610793916,43.52756540733355,43.611982908906434,46.94834807568074,49.93771212276135,48.23350915719985,43.680754976524675,45.8114296892361,47.436233274573965,42.90762720248836,40.90638722625688,43.87398893050483,42.72984904947745,38.78706630643756,42.32991517004859,43.579567430879585,39.524988283897244,39.07383986039031,42.4695356850196,40.48364799599781,43.408899618361644,42.83049847391326,45.145147865776174,42.73697627447575,37.75657478904832,40.75431401769657,40.41509772185396,37.03252117775847,35.73029982167845,40.11450835356456,37.11859743479898,32.42804236123347,34.78924434149603,37.73076365860001,34.120455977930696,30.560162869279658,26.644727049036536,27.013162794873573,22.784782170606785,25.995915232560616,22.480532321123043,25.718380645027484,24.669765004061787,20.289884741153074,21.17139146950458,21.428849597123808,23.038105784123292,27.62174410375079,27.486053365234103,31.338256090536746,29.992250264735684,30.61809433103676,35.09753358602888,37.25435099386026,38.046800392524,32.608460511856194,33.50363632192225,36.05765346646411,33.059449277621205,29.673660878501458,33.80499904445821,35.907621016209895,37.43099058655748,39.87051737380125,41.5428599562316],[28.806690156785738,28.0750949102248,29.711209552633683,25.55078488637272,29.312419409844065,31.76337262335886,33.39396747800893,38.03270083199227,37.08549037654566,37.12188391499962,40.0582808201774,43.52873408875589,41.591802494540076,38.91515289660314,43.85271399971909,45.301092341323,42.072262385734156,45.184874108982484,44.54709238447407,47.52637313697838,49.00006186917918,51.69076523183189,51.1900029980316,48.69936508507685,47.3473518405712,44.36837770457769,43.925673301537564,41.69610019438828,44.779637101887694,46.45248048507011,49.916544974702646,50.58075511718053,54.51934305690324,57.02206826152915,54.25608306212319,51.213738899209716,50.89247253170166,48.61003345616654,47.00946545119732,51.78519596924767,47.17116099777347,49.02898168796549,53.2183118157656,52.551015898321275,52.74140488668813,51.870534183336304,55.86496162897506,56.15997012063274,52.904194414141664,57.04070794899268,60.33007026286418,61.53565594042894,63.50320358662514,58.40882722013318,61.30291500937677,65.07721707937075,62.396657902994384,59.57465748080583,64.00673846372877,65.86707106267436,60.532266723610185,61.73388136163094,60.77459405797237,60.07026159427059,57.27206840731464,55.5095474111603,52.00082660546217,50.56839447756121,46.90805958990398,46.416993096222726,44.38081898597765,46.054290312997956,49.347816851032576,51.588777370175855,52.613233212116626,58.68983587102733,57.27535423702229,61.102251658078735,59.6165454253101,59.83325479400608,58.54180825833367,56.871823260161676,55.87836374282702,54.997352435790916,51.11965801744486,51.45738627707904,52.894446898972774,55.494356231146185,54.35636184176201,58.81729198134328,56.16365206512769,59.0563798223727,56.40028619086018,55.3187607147499,50.79999898702924,51.48651681388682,47.33263685891843,50.71200101942058,48.80019294965391,51.34474409451406,51.55205139341483,50.7513317090436,51.08340758571173,48.930989351189716,49.67776901047103,45.25670811330356,46.72833142818362,43.783897373746285,40.37242116578088,42.77645359895569,38.35058284809085,38.555042520804356,36.86709817451711,35.41355971009458,36.55020148101537,34.195309811225066,36.99214735671389,35.39037880595306,39.373853100650486,40.559210108825546,37.41773638748778,36.121634281402244,31.979569724172332,31.7723821690609,31.781942386003916,31.436236944529664,32.70308545708579,34.668868510843666,36.561393740491134,40.77690878992643,37.42621777853042,41.86756152423016,41.60654594033201,44.63741035812821,39.29610922798909,36.544223816024164,32.47430349426727,31.142733918288574,29.93071993238615,33.56689418841813,32.11342131162546,35.40103267188628,37.54333327402197,36.81245725210031,41.116904037587965,41.756033367454684,38.986602779068036,40.6656138632025,41.012043356009556,40.044018424856056,41.990809046469955,43.06155219400637,47.6247068961101,48.02275528171308,48.81493312081364,48.815486483906916,46.15596350444274,46.12091134434609,45.88943390721201,44.19190438023682,41.67079297977766,44.19994328167522,39.61098726814077,44.09592422703494,41.83838623510999,36.83029096463608,39.67712615256976,39.018161247565494,36.650890941073136,34.061675233808735,36.001561181968356,36.117495962593985,41.16847497195393,43.93856104480146,46.51050576217452,49.01476899814256,48.661681100442685,53.595305916518285,51.233978588728476,51.909170827489355,47.91936850374565,46.017309627848476,47.827765384403136,48.69686227445791,45.94696391743932,49.01224315056534,48.55084655630021,51.31924927307339,47.640999870319654,49.09081711304855,47.417500064593746,46.72419346897922,44.37171159338325,42.37975350103828,42.510488943129715,41.62964226779242,37.590314865485475,39.60425082557652,37.13442092959169,38.79464464396467,40.54639237601813,41.651265295632356,37.99112553262945,36.1428230536314,39.761471367217716,37.76748873141949,32.090486019630134,35.606297969813646,40.025018948562824,34.58826059099501,33.274871805087116,36.78221274083549,36.586433351550504,31.801888291645845,33.39790937975909,31.680846994888817,36.83527278910333,32.55620329726913,35.34584253438173,39.111254739718326,42.32804786336555,46.16902293971319,47.20693388361479,50.10778458254766,48.543917450416345,51.43465959010141,50.044404682560405,52.55206633721611,50.19805283424509,44.8401179118217,48.06569304682077,49.12678518286495,44.39911602428956,43.265737022938026,45.68382212910699,43.21191777160886,39.32452398945713,39.806455669751884,38.72685406527726,43.39585599462209,46.33151935320345,46.64199303974547,50.06705011296188,53.179978752844924,51.519411171740146,46.916858949120815,49.180423472753155,50.904615882953436,46.36551139343237,44.37524569439898,47.45253527005812,46.382732972991796,42.4130138146303,45.89321531417464,47.23400137747945,43.23835208541312,42.66994582206728,45.99977739713436,43.92329241000201,46.78582538774629,46.175254082986974,48.33399210609582,45.93805844067913,41.025653411061455,43.843479096500694,43.37350317729606,40.054200447088256,38.669126168404155,42.804848539260064,39.73125671895346,35.16345106982699,37.33547783794735,40.04282077113148,36.395450937714664,32.938721346997006,29.303667380719038,29.173698390143375,25.20582045301459,28.671718640917664,25.56046731992192,28.962995330496017,28.2143997429004,23.72859367742839,24.39897089496753,24.273362005879992,25.870711320036605,30.56282818831468,30.642644129483173,34.35488123148007,33.12368586455412,34.07345399490392,38.57833740039599,40.84095672756009,41.621928529367395,36.18371287415201,37.20406003178193,39.78978285340277,36.7048227196473,33.43147735903383,37.595383757107605,39.681256494042366,41.16307994676632,43.59649391092865,45.28412202027914],[31.408830512011818,30.248844662794838,31.27916112795936,26.605895402188313,29.68304811474462,32.405884312978884,33.4192914352352,38.09076575812447,37.02842003756861,36.44049942918162,39.371878434724564,43.039295830141256,40.547793109898215,37.747532692542116,42.50580289081951,43.88653717605523,40.31130176374067,43.04401754732592,41.888028695495564,44.883752159437364,46.01114675771811,48.59329835186886,47.82443465567669,45.160259605863715,44.07884025430796,41.29880675762574,41.1844502114684,39.30081817514938,42.68224560295766,44.76538294630441,48.15623678290502,49.181673342170306,53.163228775038085,55.30271718017956,52.467973870988175,49.15824444840134,49.113689174162644,46.2988554728299,44.601380774915235,49.235636557466975,44.28075098065139,46.13394727614609,50.21920311821509,49.59127153214354,49.50972510335985,48.68468830589316,52.56859648009878,53.05309283352082,50.02540065573657,54.07337854835248,57.41150568259375,58.834649005645886,60.77481375589616,55.60544525893231,58.797766388329364,62.35346674980939,59.434289965586025,56.82366257352105,61.32112036735612,62.88146859609176,57.49191444225425,58.73673731170865,58.004783049394156,56.98053720832234,54.15816800029109,52.6772772423759,49.1218060342573,48.05191852307692,44.310382848037186,44.22738447416122,42.03594213447311,43.66881308547093,47.061639603468954,48.95509176572769,50.29160382126708,56.24609131553359,54.75920351628431,58.77879342781073,57.246538110805325,57.30514410660621,56.307314190491795,54.545204496090015,53.9840640724306,52.98957259072592,48.921900059819365,49.371366476792694,50.51960846073337,53.48354587142196,52.0475890760024,56.77552774077799,54.065675328000566,56.940460966177355,54.53634561647953,53.74791736120983,49.36959075835948,50.229355725944124,46.2048128722153,49.68105052660555,48.037379165217864,51.0110560263664,50.664678512137606,50.23607665864217,50.03564894219182,48.24400940154098,48.71961170895142,44.5979220466068,46.319635420475144,43.32005168152105,40.246875914485585,42.62777087991953,38.32556102175089,37.92253220747515,36.325657825561464,34.314429631401204,35.194566744719765,32.44416449410382,34.88682334245271,32.68242339286416,36.543371444270115,38.234642309830384,35.19492806793036,34.319946617512,30.05364173454308,30.344629609176483,30.93917548406487,30.41008943027716,32.53007441397353,34.02332802996285,36.0320676567259,39.928588007095534,36.74735506907626,41.210471609631185,40.43189407848383,43.512607432575116,37.9200733740113,35.19099377087452,31.343834407963126,29.54825323507274,27.986929492831656,31.490722803115162,29.40777827442597,32.294799622038234,34.68172660650672,34.34899967547085,38.60399422440562,39.62587273939444,37.071251927654195,39.20166672741399,39.924425666411,39.37482792758393,41.73229111390654,43.04992627391803,47.78418828266827,48.56690629060052,48.91972170270101,48.60519369557603,45.624841386137,45.64227830722152,44.91414262612716,43.308214350926875,40.27718789198215,42.39007132357653,37.52327951553371,41.85339428244186,39.44307723749955,34.27240493246015,37.3865964950413,36.44339223560439,34.49790794611078,31.851282180899883,34.09526164335535,34.138471657424475,39.228801598688115,42.167267970790725,44.79653622667377,47.59746674004611,47.193287803574464,52.1382821305255,49.43807808476061,50.30936716016117,46.052989054504884,44.7223772978193,46.29996715303894,46.947537194647595,44.031836566965325,46.67632878898764,46.010684576464904,48.609557623246104,44.61780576669792,46.36208646750808,44.81333062134634,44.43608554480792,42.31121243821602,40.64281445015112,41.11587118493932,40.59339394176431,36.790362442343955,39.243930192595286,37.258839792068855,38.94422407989105,41.206303912719015,42.345824996346124,38.55998871295742,37.12583732039639,41.031341215950995,39.02510093875605,33.48783247771709,37.34561173089116,41.8368957313255,36.46846118942983,35.488993042933515,39.203144295344856,38.868833251872296,34.30723583058035,36.28204969456202,34.37691654503886,39.71278895945704,35.209142366939005,37.66922842707724,41.618891281121066,44.649710386034,48.75572174595682,49.4078477211551,52.072944109778206,50.17730709570341,52.79775013130068,51.091446227843065,53.46597612453882,51.41272479638283,45.85843845706089,48.7237616017673,49.8520669538127,45.22626209242595,43.77032149893831,45.83642461961383,43.65846046203619,39.93061834756578,39.68349051830707,39.1785345572357,43.458508025980954,46.61869708975315,47.366376206168795,50.64212756880379,54.06081374483163,52.102165252699336,47.5767407762953,50.34781414607621,51.9250812996617,47.220037623290914,45.63842793605528,48.96076915400739,47.894379145645374,44.069476144248476,47.79904080023767,49.26196273892527,45.326950529658255,44.96606815099712,48.37463049740468,46.17885076889387,48.78139261582268,47.773708958132104,49.9743423168569,48.002772660862504,42.864396446903996,45.33093443598573,45.20079015321046,42.0192182473231,40.09919363875502,44.29336254982745,41.665130128701996,36.873103818632686,38.51535567181148,41.52103567351054,38.24013723139427,34.65071940475461,31.10635670128797,31.198434462468423,27.47214432923084,31.331628261127715,28.060881046149234,31.057163875734503,30.23305636890075,25.944648111052082,26.129157278128684,25.882805989241152,26.87383144113102,31.573756352915584,31.23539961384824,34.56826622118726,33.080583983472884,34.85958132363868,39.232941762591686,41.83759538787872,42.252239984849346,36.8999193383743,38.55527179265119,41.00031937933247,37.44735572315415,34.84642159332211,39.24805225199975,41.25947417615562,42.43155956071045,44.92853995529146,46.71819465689871],[33.04068964181372,32.05930352483374,33.35341392910639,28.32787042450425,31.788910221336643,33.740142721457964,34.60119913190254,39.17083062858256,37.56432314164829,36.79662715212613,39.42119216271454,43.289870657513255,40.98507853030176,37.733223758805494,42.38991618797505,44.074583093945336,40.602597435563865,43.1299393865381,41.829160936940056,45.18269893419712,46.128556411694454,48.97500123835545,47.985254250838054,45.41367184145205,44.590956830106876,41.621275147929815,41.83881494229359,39.8987586025913,43.184279944981725,45.36380529928437,48.159256737398664,49.62886994947183,53.40036168370941,55.45714502690143,52.90176479011816,49.575552938898674,49.9118534816722,47.13942916351721,45.70451742431343,50.627787962161,45.52017078914864,46.901757280733996,51.05373168883561,50.775968463371434,50.75934149967274,50.266856636928964,54.07215761919506,54.38364975306643,51.649125377070305,55.9033092857395,59.006466741821356,60.588279644374325,62.304466577918674,56.92287827504867,60.1296169092013,63.558151864920724,60.49942637425149,57.746266588231016,62.156643926051466,63.699370459818006,58.10770337629842,58.99869546047657,58.15158236876052,56.89879851231467,54.38659559255,52.96971457723028,48.98630869432174,47.93291517130262,43.86341316552943,43.69881237117275,41.303962884894695,42.55911857597637,46.22138536053407,48.247435043387874,49.89941360382874,55.81693858033152,54.74964470509787,58.79746204853423,57.573705611023,57.883060973601395,57.170097473209374,55.72619809130234,55.33032663634201,54.62223291907929,50.52111861021901,50.616124751790906,51.41775097203113,54.33591907990526,52.4952641029748,57.04025867397784,54.0393523479776,56.58775547423786,54.178894393785114,53.522852449707905,49.216290038483976,49.79425129475192,45.846868892203474,49.77150277772553,48.34911398603319,51.540146462576715,51.38114494536813,51.412579974926764,51.24907587669452,49.866492786769165,50.73636007693833,46.695978695000846,48.7536502668664,45.98422591600077,42.84774495427609,44.894440161031525,40.43029476628587,39.779677315480875,37.725383623870165,35.700925948941084,35.97426124424599,33.2813670033715,35.4519098308921,33.089620300325784,36.58221405883438,38.27808704998748,35.08331164392485,34.35031548950939,30.355792375763485,30.962223507455747,31.810611795299394,31.94821184000514,34.44074441911601,36.11623171746431,38.45112855221215,42.393314025029106,39.67597921006631,44.248131441548814,43.41454818333281,46.18929725608564,40.60620828420363,37.55436756046317,34.15284605183923,31.86122733479592,29.918825000946708,33.16114943666403,30.667066504979143,33.47197677749755,35.612077810028886,35.463326310434574,39.77225706693437,40.65298290989294,38.18507170753292,40.28385794442493,41.27803995978099,40.50248626586086,43.13694994222853,44.03913867828166,48.949998938294065,49.35954474010336,49.52425884763482,49.46446530662274,46.46859242507717,46.89762198181467,45.97904175171529,44.92492192149368,42.012153291194565,43.7396908554347,39.1090094476331,43.46546529685901,41.45026274257045,36.450485766808086,39.92691886772293,39.14542529944904,37.46571523773242,34.53322078865774,36.7576294859418,36.3598830797001,41.37392194619362,44.15848428602466,46.54064101100841,49.301988416172364,48.486871725768985,53.640062170261764,51.07186670486619,52.198701396611206,48.122295725608275,46.89399173589223,48.80948584781031,49.593079699749616,46.526058049354155,48.83865530768265,47.801156446378066,50.64780389213512,46.6380264193083,48.71798034261338,47.41026083318843,47.09343835264941,45.26200110743014,43.69561056942273,44.32810669535913,44.04051779929936,40.15922303417643,42.65785989604589,40.68544401393495,42.02436077476975,44.46402930937938,45.26042753521734,41.37114897166236,40.25812590045078,44.06268833886523,41.691680579195584,36.35863983332364,40.33056987022701,44.50108996196057,38.86735888080323,38.07259123329972,41.727418742901236,40.99004038085338,36.419598184327796,38.64157263266946,37.045952603910024,42.39983736196213,38.47647256585449,40.867355068576906,44.73979323423056,48.06734618759155,52.018464396725946,52.96127444201261,55.54457440162132,53.67435846945718,56.29697816972237,54.462836350579394,57.0661829511894,55.114458381930554,49.44763644817282,52.32053355434159,53.70694623092109,49.09107169784645,47.51149433298628,49.659310230691624,47.69839722260727,43.88434771007719,43.447726825855376,42.784034640291004,46.797291532525975,50.027129506327064,50.63689153299893,53.727585374725,57.0581161349566,54.883343105910505,50.49010746642296,53.19629365237174,54.50123604476568,49.737255653713085,48.300286348348074,51.40864595526712,50.11025576897259,46.413865302965824,50.323071659128594,51.51578146824347,47.36331331742535,47.35021171026221,50.891466811970304,48.92376252987678,51.681615952693775,50.73792390174058,53.179242176934764,51.16035845544818,45.950410568893815,48.65976084372284,48.669167007330316,45.40236205972576,43.59101188478107,48.02643403939634,45.4128443503287,40.539537152770144,42.344682904800926,45.511034852949635,42.202073802554054,38.55931562167608,34.802775340487536,35.151734235489805,31.209583846821758,34.81153399522353,31.245856085069292,34.14364778614154,32.819712463434115,28.715438557658217,29.245531716374252,29.418404597332884,30.375293847840382,34.98340982913144,34.20937718116239,37.597799752570296,35.67258356480145,37.30645850997963,41.518654714575526,44.029806568249484,44.1040863734816,38.83985808257117,40.487915137934216,42.55310088494128,38.82684558419547,36.34240670834151,40.559704041958234,42.20035862097055,43.29762799569093,45.73741622308187,47.627553274460176],[37.494641276851354,36.34883703347495,37.3436319476449,32.078355955088654,35.08769643788053,37.10956954440795,37.51204940414593,42.01824798998531,40.23569364111744,38.94702575179295,41.43684507765072,45.46928249782949,42.78194111291538,39.34517096103289,43.73072029143646,45.4242898111848,41.70659475760039,43.75238874744073,41.864503209748015,45.303780994427505,45.78080974883862,48.54303941142509,47.162104758738174,44.42257436769781,44.04054786521012,41.30485809046882,41.997280398511776,40.455448859234686,43.97283173592034,46.55212763820304,49.07041229312626,50.99686722316214,54.71100561732685,56.37986175887866,53.86199515922943,50.29997898812167,51.00510583774522,47.7370053471904,46.27497361045648,51.03298483221561,45.578590553658984,46.83842540916624,50.833225857823386,50.673175743427095,50.332236880359616,49.94121581272043,53.55239881642353,54.08447128842738,51.68941274647829,55.80574706499651,58.923621796520116,60.76190299102212,62.41033504620379,56.9570043462023,60.47683614844666,63.6167954008815,60.28023429793862,57.76437566815765,62.19550298109948,63.37886705064068,57.71752522085623,58.556351743212026,57.94420561361196,56.25224324329677,53.833141996818036,52.78223089939647,48.64837873794914,48.02403287325172,43.794518854562334,44.044697939252565,41.435759698358794,42.456279653754855,46.302967390405236,47.97751447418314,50.08085709822576,55.794127910711204,54.80560513963164,59.03559291424909,57.86654925764719,58.07114318469963,57.74673899089874,56.284308765580704,56.365882019000786,55.59119546982476,51.335467797486196,51.48815170279057,51.91009729632394,55.165304304762664,52.93455942054381,57.66164176637137,54.54040776845361,56.934859102163564,54.80177395984499,54.484726751739004,50.37978999547557,51.01421887082608,47.2572220632747,51.368900195805026,50.25786679573918,53.827183713164395,53.25547447481142,53.696887820232675,53.09051112374973,52.0958163448771,52.77215673552921,49.03319924574153,51.289979365865996,48.50453470300861,45.66321987055459,47.6629160405603,43.33153961285456,42.20169158797433,40.19172922607408,37.74141739923678,37.66628013823879,34.6824958411511,36.387503842014496,33.388369800950706,36.545254430209845,38.77426126709834,35.698173153687094,35.45529210868451,31.52317342802943,32.667115922505126,34.05259208684802,34.15362012352535,37.304982394045176,38.60611530118718,41.009803702653905,44.640020308257206,42.09216042556908,46.61478544342038,45.3518266983175,48.152417402511816,42.41911133805695,39.438564167446366,36.296248600013804,33.65109833937581,31.405893073058238,34.405009389454804,31.24243448638382,33.49402450621671,35.82122071750933,36.15752491165744,40.3350630128883,41.57418508219439,39.38274548586012,41.86617280811454,43.229639277390625,42.77725761576607,45.75070288616094,46.75805471612487,51.7790446358291,52.39145436729252,52.18993195385285,51.94760168843727,48.72284728699457,49.271291802914654,47.912593141445974,47.04183003720845,43.73650841254105,44.99238052002364,40.19861758996896,44.32705661695658,42.221070455261206,37.15103132742022,40.84827116761351,39.748532518008574,38.54559715954144,35.65060917969625,38.1362898077057,37.67200045015277,42.62805416522845,45.5245089346301,47.90498949221595,50.90849790127736,49.99281994552586,55.138111069641006,52.29012510743334,53.62397363160808,49.34889977519484,48.68448826234149,50.372992292027796,50.92961449237191,47.73793648846014,49.57593829360658,48.302921984847835,50.93651093521335,46.5989727451033,49.01096899519682,47.8523489622834,47.89583212142625,46.309422239787615,45.08840179570456,46.02183618464613,46.02299791765827,42.417262064268925,45.23060243511348,43.63970888344222,45.02829092716795,47.7749229391497,48.6217612646021,44.68728746766789,43.820634154058695,47.7807895634029,45.44007943618926,40.21429356181938,44.332430302599334,48.544472212700654,42.980910232896555,42.34750267763186,46.08522152795527,45.288421280100984,40.838492126416256,43.20362845579408,41.52076357874854,46.92944701098534,42.829156005789734,45.10807047131079,49.06242069712957,52.2384253333905,56.33640413982553,57.03172441722786,59.52091346736616,57.480530692519615,59.94277244640579,57.948689106765165,60.40566481186707,58.62163783820165,52.89236617833074,55.515845881334556,56.860438333829144,52.33177838292557,50.59215560029049,52.4423006114218,50.616920945670316,46.98330319684057,46.10802573700557,45.905425109473164,49.66124712006808,53.01817993145992,53.947372135048816,56.94110404982632,60.46927275699622,58.11449802509012,53.79302491816206,56.819743572321364,58.032090392618514,53.18420363177126,52.01321619670084,55.25476541398168,53.95800060370835,50.36724097580336,54.39792214844926,55.64893758181579,51.53570599131612,51.63587353885919,55.20324605173631,53.1720077049012,55.780634098554486,54.61968404683211,57.04785645526737,55.26413300251182,49.96742401298139,52.43943782215601,52.599276381680106,49.43037048427573,47.3284498160612,51.70619757783939,49.31236781390202,44.38315885620778,45.84953411922524,49.08113376302588,45.96538373566188,42.308346120078724,38.7019671459207,38.999844348963705,35.26574846758278,39.098381548690824,35.58451640433138,38.33109615682029,37.030952939432176,33.025451843787074,33.299311720051996,33.325229881465845,33.978746343614205,38.559670084351914,37.6063383547323,40.70046380919453,38.63906099945993,40.80934758744177,44.89107461640083,47.598032255457404,47.40659449387106,42.25870530295804,44.28344840478258,46.20840944421063,42.201260648766464,40.17367474848727,44.46177285660988,45.98850048313013,46.87472866907245,49.31944581476022,51.27331654625132],[34.298199179644534,33.214460161320204,34.360154895438505,28.870403353529912,32.24867257623795,33.55672595637207,33.953760857030986,38.35193172751476,36.240154957247164,35.041386924192885,37.3537592653936,41.42312522660799,39.07785781767254,35.43549122463025,39.86822592156608,41.76751255981974,38.31469377680185,40.51495996120525,38.981058773546835,42.62614807877768,43.347674301175985,46.404039491812995,45.20591292125837,42.74716960554601,42.1764573230143,39.067641057366274,39.63952466731529,37.733402679962495,40.95755519470781,43.31739815886354,45.5316477590956,47.4949955672862,51.06435890732552,52.9139977892474,50.60288403133725,47.215629631813606,47.97614711857603,45.13830703597478,43.95730870484065,49.10458584453724,43.852375133492835,44.738480361503484,48.91280292729943,48.99760064132459,49.04422385002813,48.92324645895075,52.61650007656335,52.726714812881234,50.34157798261859,54.79560917923929,57.611353767611014,59.36844060423262,60.82958768609774,55.25035592726064,58.48445574041245,61.73570129183235,58.530751038689644,55.67105106546479,59.98220236419306,61.46806739525255,55.70447033883906,56.264696320116066,55.34519856054571,53.86189830817712,51.637038289390745,50.315268981568266,45.969829738625165,45.00243218538788,40.672069880275025,40.53889744767662,37.958278203033096,38.896383860889735,42.76428710583627,44.801525353627284,46.767603663550496,52.58776968687046,51.865791754429274,55.954720865286845,54.999074485632086,55.50580426661922,55.122624616590905,53.98350986399739,53.84870701418968,53.411057342494296,49.27291117838666,49.027557293461776,49.42016841874531,52.35037874392643,50.077738260090676,54.49094069852442,51.24264446829311,53.49702163471331,51.170898807559915,50.72236646778618,46.55901602447986,46.9674870454775,43.17069076197322,47.46397432367359,46.353634434449276,49.884054217620104,49.65851313160877,50.25901616902952,49.92748701749072,49.08926195038403,50.253076122713644,46.445889409512645,48.92735984513385,46.42185473195772,43.38561350602233,45.04040689961618,40.52859330986039,39.393054806872684,36.964169460136084,34.752780763751595,34.34873840895362,31.63513099919089,33.396675432777684,30.798247690793744,33.85759039273926,35.63912281465331,32.38198269496538,31.91889198818234,28.22113425457059,29.275315497172894,30.564102236874746,31.26427775738964,34.400042818849904,36.03279020097374,38.70860541606547,42.52525549124419,40.42795863291121,45.07231070329145,44.03476360971889,46.42578758922534,40.86089425555938,37.49847503370874,34.728656813802715,31.804841914555194,29.417228104605215,32.26166936052966,29.283049508406478,31.89777254952617,33.76009298426339,33.86348524501332,38.14732310781533,38.95269233630313,36.66279136938488,38.83134773909805,40.20046096195497,39.382030369543706,42.40855092504598,43.02672784282124,48.11526307032029,48.38460163032407,48.16128742730075,48.17593212956928,45.060086316259095,45.8843774765868,44.60196966057638,44.12623952182926,41.20312228065046,42.397939242173464,38.00808388377316,42.299199962843026,40.71723221602067,35.97501595785195,39.853997523178094,39.27767817227031,37.987773645659615,34.7349215078625,36.9347749294063,36.01969505503186,40.87260821645286,43.487463069829545,45.59299870541983,48.36522733497575,47.13165603443306,52.44607767966026,49.942002823503685,51.37615932219512,47.469532261839795,46.509983503856674,48.72078281868392,49.6104643998943,46.36530344220088,48.20520650473057,46.73457480049669,49.82373874137836,45.83245098036636,48.29544985298878,47.31143417055244,47.08390656944739,45.665839187788045,44.28803402635804,45.180821632332396,45.28559424566719,41.406315013468834,44.064601333495716,42.30887207370577,43.22225698941178,46.06100085582138,46.46784544682641,42.457236648354794,41.91631240107052,45.703497146555584,42.959917156972416,38.00279652348867,42.22733470141204,46.04197056308932,40.256172302027146,39.863280494589795,43.540490205231805,42.32721390764364,37.96802120883165,40.6527674169776,39.25912619286775,44.69497233155734,41.31723534502579,43.36401418299114,47.23260959526004,50.7722368799479,54.694848127297995,55.73276203513096,58.03027443334618,55.996571664030405,58.44858445995208,56.29488594357827,59.11090928933198,57.46741373176666,51.58261850856313,54.2695741953564,56.042754325390085,51.52123449972395,49.62943431154663,51.73493958823858,50.244150750127616,46.395746165574394,45.39857211550087,44.7448976800786,48.214080044318386,51.589610660811104,52.216194227289854,54.989714000670034,58.3378208293779,55.793609017390274,51.62394128842063,54.486792485605584,55.40768072465707,50.54207280380434,49.486109887514594,52.47487401239507,50.95747612789176,47.513309961748945,51.71274397682952,52.696425155460496,48.41307885207923,48.87496459089007,52.57058146057438,50.78169399389514,53.519305325148814,52.41630152615217,55.142537700539066,53.34328239615606,47.95423161208316,50.72162023776855,51.10797123817962,47.84703657696927,45.87399660285402,50.626034179154225,48.33148575840311,43.24711681532408,44.96295816476023,48.51729772891601,45.42630178782221,41.64494032695341,37.68043441002598,38.563789479792554,34.50934159254698,37.98112430660469,33.983766070152704,36.45937015579686,34.590445440680064,30.887377453844593,31.486962534349463,32.07196875953005,32.65872717244776,37.06716412254672,35.60913661729479,38.83115571112287,36.35580035436288,38.18022636783987,42.09214630790006,44.64472810726636,44.200600058429316,39.14833143709992,41.09607009689118,42.697568242185795,38.62745894647346,36.665862580910606,40.77847143273519,42.03515246925155,42.872811588552466,45.27226053075455,47.279614167685985],[30.793414083985944,29.519115621724623,30.453598201724585,25.14901886338779,28.326939884942842,30.26508280485609,30.864447317863732,35.42210560145058,33.81710456958453,32.88073034500918,35.55237512810941,39.4302624703011,36.970747892076965,33.77217260398123,38.42255681186673,40.03907884877486,36.5239779613481,39.08323349894554,37.86253660633469,41.1687136422734,42.22255529381947,45.08436323440686,44.221249405152804,41.72861581231323,40.75653803974966,37.71188026645296,37.82378290589151,35.8189173404648,39.08749317646125,41.260944412349424,44.13143348452321,45.55980214635362,49.36447786445331,51.40774432386415,48.8117766947098,45.48860739222794,45.79944469825626,43.054811117819895,41.64706365984285,46.641605959485666,41.602203569232984,42.93638632878838,47.13201633067936,46.880279392394534,46.992455940073405,46.571164237592455,50.41887791589158,50.582603127132366,47.830964218677416,52.199687730373356,55.200860686360016,56.75125208909758,58.41486169754487,53.00915056531796,56.13887634013372,59.60409412519869,56.598273127295464,53.764807838417376,58.16007789799116,59.79015179598729,54.20321016484075,55.09861292161558,54.201553451326454,53.073860366883856,50.5230611285313,49.0107505270591,45.095650874879055,43.96507162832547,39.98033093696077,39.79825644348908,37.47567233350319,38.88876446472738,42.436677806014146,44.459274106445086,45.97757358248744,51.92489505512454,50.77014833906116,54.792478707994746,53.52856441606839,53.84398974255307,53.083727547432815,51.67107802901941,51.24961579422527,50.59485504866354,46.50906229415053,46.53542535529311,47.34663949766022,50.22907072902438,48.426957713809585,52.97542789088115,50.022342864109284,52.64899613507668,50.23706053949975,49.560736553672946,45.248307400910164,45.925671983811824,41.97699405326359,45.80966904620385,44.40383697279127,47.671197355095,47.36134167856865,47.459969001398804,47.19750128865499,45.91364970964761,46.81519148457152,42.847797210820886,45.049770120086144,42.369548338464796,39.2972267251456,41.213977716795824,36.76250954739864,35.903938004482,33.8127449987308,31.682590347854806,31.894256940829585,29.1689653708941,31.344400971435793,29.062753789071497,32.62121262535257,34.24228764149389,31.06302189718857,30.305048808110314,26.263357398211973,26.884504654481304,27.829457262971275,27.974888906267516,30.72013439613802,32.30958585934463,34.76027620815116,38.648380551170334,36.18631389846154,40.803714512629774,39.90528382572071,42.50142301119381,36.93534055853693,33.74424090488494,30.582940258911062,28.049795451414447,25.990415578927237,29.155164817810387,26.694853760717255,29.603878904289278,31.625597333115778,31.40846748856491,35.73627189820558,36.55445774032475,34.08170925427975,36.19147801958684,37.24382890452677,36.53519915437686,39.28104163058407,40.24992385991532,45.20376041747878,45.78212585365542,45.791660072062314,45.60435215347761,42.52605668726498,42.9652068416483,41.93978752946435,40.94545800322871,38.00154241360827,39.65601567850853,35.082088659263654,39.462903891812374,37.59588926181877,32.716474996349014,36.30309196765102,35.739560153899745,34.107653245738724,30.986171531964104,33.12792896905701,32.52233928784071,37.49224736504845,40.20779445573714,42.521105533725816,45.27515487217766,44.401351718289696,49.57636212194006,47.02946250219609,48.208403850839595,44.19976460355653,42.993778816986485,45.03687300446006,45.90677076376474,42.78693894963857,45.02900282856147,43.909334592373646,46.90440588328906,43.031271678914116,45.14381433239175,43.938879510285645,43.54082441634254,41.84569364873593,40.28374352539134,40.99290044010315,40.886179492528356,36.95774745437654,39.52897933560365,37.68569400321861,38.78856877742452,41.496465397961124,42.10615127471852,38.14324163218016,37.38075807601171,41.239543265867965,38.710419032998345,33.58797435752338,37.77747425487503,41.81318119888458,36.17444355570223,35.67337012366093,39.42601048368252,38.480310935006464,34.11533357339271,36.687782215680244,35.06421434664809,40.537805426204706,36.81559422831008,38.84743060142158,42.786178286596574,46.16898097923059,50.20097133755393,51.06809008696187,53.382173820695265,51.31613147930437,53.77020974952473,51.68626345818548,54.402443125991276,52.69783293281137,46.85490130907877,49.56769890800737,51.23596753286106,46.69607529877007,44.86555610045369,46.98954828107405,45.399647373607124,41.54642428706794,40.68419659411017,40.02001079799837,43.678980419434,47.00598146159851,47.6689798787007,50.5761139485619,53.96838433437888,51.58082015155339,47.295385520006135,50.181643672793,51.30260825577313,46.46421588359027,45.27925806610546,48.429153557088576,47.07688394543718,43.514803182120346,47.60934046722671,48.79706991908494,44.660436211480175,44.87354477562152,48.49560307744309,46.54001678130533,49.17452946848427,48.01989506964057,50.61178214355478,48.84956171206029,43.47392599680029,46.11006761199945,46.43895943058547,43.219260272766064,41.16897485795074,45.83522352229415,43.56318205532685,38.48006969259903,40.12715989256993,43.66048948033048,40.60884640522193,36.82011836284799,32.90918575014326,33.795104479489325,29.813951652042878,33.40937174818228,29.475772667746398,31.95105900861103,30.34953080579701,26.529168825109913,26.910445803798403,27.32032764104223,27.89470278256839,32.36420607756869,31.136659007716606,34.384244307869885,32.18585678284484,34.059696673234264,38.135019109880176,40.758113633672586,40.60532694851619,35.422442608244026,37.36699501703914,39.30122772480315,35.36283441842063,33.24572008284501,37.56131934434504,39.17152231934481,40.10226757606554,42.584769605897804,44.51565373171857],[35.648457268033276,34.08307773796172,34.476492433501946,29.095005350340557,31.401699454990304,33.86427020948623,33.90731134388311,38.41354806850982,36.88809641250472,35.32966414785114,37.99200780436684,41.96897709150718,38.85925645116502,35.682401391877995,40.01000078913451,41.44648261119728,37.51225510349377,39.51809378060025,37.54810766219334,40.754320295729286,41.26553024040964,43.849720459802185,42.57672619480816,39.76726552495293,39.24082348659277,36.63660929410229,37.21479362307286,35.815478671650034,39.49194538174348,42.180698596225554,45.0391921652676,46.83269911292666,50.68955511492502,52.24313237267957,49.520104892365254,45.86944416398393,46.46267655472361,42.97939183761858,41.36150330698416,45.956866444465405,40.49487346189607,41.962265326362925,45.91269845260226,45.60627697102704,45.22048466467155,44.734351254330115,48.38134645662151,48.95992982850587,46.49261230407951,50.561595608284755,53.737668074117806,55.55565535824459,57.266932487490685,51.877212447202695,55.44122144547685,58.59064054529185,55.276336335654904,52.85418302878284,57.34465718816925,58.491934693306206,52.91857063810362,53.97061640821837,53.4692740306293,51.879411217395685,49.244787798404396,48.19521974822101,44.3344066921239,43.79243695227385,39.78749627131989,40.245483924730294,37.74951700432807,39.09507358516639,42.72624781179139,44.1742666799139,46.11687928107544,51.81890282896688,50.49758754879183,54.76464728908198,53.37626968161457,53.38583543905552,52.988953764822696,51.34741586492917,51.497361232292356,50.57309119363917,46.27825489089041,46.60665123128292,47.096866500325014,50.49159431180076,48.39128604482055,53.32076205460885,50.38094029706787,53.00809095346688,50.979694408505836,50.69002373293975,46.611396945598365,47.545815386600005,43.81508427716582,47.62661230417318,46.52073757720684,50.1801581053931,49.18020255853132,49.57394825769766,48.66532876926629,47.68434460474996,48.07375528882942,44.49168461269831,46.77708097877682,43.94822844826404,41.342991835584826,43.37884288468832,39.22485919387883,37.8279677115929,36.08074125323628,33.34772083881286,33.42482051513343,30.234101483306983,31.902166064737973,28.767700824180203,32.11071410103242,34.50934350738357,31.594367235242945,31.45472436985125,27.322867191034085,28.539596172850313,30.113426964543063,29.798819639278847,33.269917191695654,34.204340322639425,36.55745796997741,39.9567923332768,37.47684940693022,41.95091239443475,40.46336313534322,43.27087556440297,37.48308719746597,34.58736794343376,31.55133143824975,28.782178975950966,26.492131788215964,29.460469602060797,26.241624893738503,28.3960445930216,30.870680881500835,31.253634951078638,35.37515768310591,36.80882519305003,34.679637534106455,37.37166040522234,38.79110153134568,38.684302128697475,41.73859766205308,43.09811478738542,48.0910435475062,49.1662259746649,48.782501550957974,48.18905057475349,44.80515919919044,45.16333614023716,43.63170915976905,42.56583107676324,38.98778221693438,40.195064943341826,35.227884094523205,39.27348396441818,37.02674033451597,31.914291682690646,35.63061993794247,34.506859918709395,33.414204084417904,30.49598867722531,33.0462486796517,32.6011197155492,37.544018191032954,40.51990579237172,42.98301318416554,46.110014025144544,45.34315792641813,50.380723955645664,47.354621045819094,48.67512036111252,44.269559568060366,43.81128552595318,45.3296709391742,45.79651821929685,42.580126502131904,44.342602116360816,43.10586812892273,45.65954836463064,41.31596380683667,43.709161850159475,42.57116241382001,42.65276932532686,41.137445558302346,40.01284680871443,41.06784573689012,41.249639368341036,37.76616336693489,40.765061458483686,39.46939874949607,40.83262110425323,43.86596698469089,44.735784229867036,40.78480474279943,40.19272888440194,44.304316862662525,42.03322389776201,36.97570456499477,41.274418425187,45.5237876775428,40.15423465796007,39.76709109093894,43.64169277971372,42.84388508040359,38.65835814052787,41.26345277077323,39.3699955598288,44.8785794438534,40.622451842281656,42.53956264083751,46.61018563727496,49.615798639260056,53.90846932275104,54.285579571952525,56.51230632182089,54.20636851443408,56.43073003780697,54.20128577361695,56.58198118762095,55.05995312978724,49.210078646379564,51.56086058999039,53.027615846968054,48.61741188910889,46.63437779878509,48.29090865075541,46.781046295111196,43.237402429001946,41.85294866513175,41.9354000044224,45.362162108830745,48.82107425632043,50.0080215903874,52.87398299924978,56.58232691639835,54.07130761655997,49.824316824741935,53.18260093769141,54.32526128061124,49.42126691786536,48.525981681109016,51.96653074466781,50.75173813900028,47.27439119594928,51.41652558396297,52.829836644426244,48.87981487658278,49.04922502858385,52.61951600818113,50.460745734965776,52.80017552730248,51.31920829603471,53.750523926844465,52.34003106904358,46.90703398693585,49.07460825988451,49.53158306704005,46.50420207054827,44.00597009582635,48.44208689346055,46.47159915781661,41.38000268721364,42.46120725058749,45.98474739733438,43.22784602577385,39.469182102901044,35.902460297581335,36.573278395306836,33.01512613700172,37.02798906116036,33.355645146649394,35.67522931377164,34.393264021230884,30.628696784580224,30.481560616329777,30.45891406141832,30.628474238168987,35.074359659999566,33.840801677032175,36.61770025528074,34.48336840910453,37.18846446574202,41.15158441670888,44.08799941978097,43.762015511747414,38.714116683714785,41.170774247055654,43.12117920072361,38.91340032183696,37.36043274153456,41.856468565818815,43.51015879790977,44.194330847450374,46.703114133310855,48.65822698199775],[36.55792987869745,35.023151356967055,35.45513968483695,29.732973337828124,32.16592844404054,33.86751927458112,33.58935466194189,37.9041810578929,35.86149207740673,33.99352235910917,36.315230198402986,40.46599096603901,37.45066601866665,33.86548883437917,37.990166181764216,39.68608114104527,35.85167398194539,37.57981665061024,35.45439670982111,39.00319382140175,39.33505323869219,42.19412723974465,40.73557543727817,38.08817265850523,37.79537626451448,34.97527488896471,35.89087937023587,34.44455309980985,37.98571966825245,40.78211289809447,43.008244230962866,45.27015546309679,48.894493538443385,50.30840891173457,47.87327687226619,44.2138886096978,45.21785928821619,41.78812051779942,40.48079889007086,45.36947334817187,39.821619800716036,40.72661737262237,44.73280100188979,44.82977481210837,44.57951655581121,44.50433210723051,48.05075772357398,48.35744571649393,46.228893227072675,50.54292730335828,53.386042358961646,55.347616488219934,56.779557484006006,51.188051460766225,54.71189703478674,57.7158111523665,54.29243790252467,51.69993197263823,56.06530719505206,57.21953248209698,51.45825453045174,52.12562219674365,51.49005607256247,49.70469824488516,47.398301090792714,46.392762232763936,42.116953456048655,41.5905609442051,37.29028871020132,37.69740785210459,35.01388000550936,36.00679496476012,39.86638088680668,41.40523554934145,43.645392700250916,49.278014841653366,48.3650203260535,52.641500465767145,51.566238080400666,51.83614837318842,51.73964075438464,50.46087441459663,50.79255966029387,50.199423562083396,45.90955996819557,45.828482429705744,45.93155480046403,49.255053918613115,46.73641268661948,51.459689002947286,48.248292818652274,50.55126571439814,48.5533959422142,48.426837666876715,44.4692544319184,45.17287885332503,41.57476066178345,45.77856065159688,44.94898589666143,48.872839608643105,47.94541205766402,48.86570504139706,47.91543495417563,47.43285933806257,48.21738748566657,44.805218480412684,47.478068240545696,44.9475627413113,42.35025087867684,43.97475723211122,39.730974278441415,37.98232823883789,35.79932366650807,33.01191393388976,32.40293008612335,29.286235165873396,30.579369158567932,27.308922177783675,30.18015849799225,32.57350870238409,29.554500942267737,29.628955368779543,25.85636103357872,27.46122011938818,29.37543435224366,29.732166684504282,33.66361998468836,34.69099584120193,37.380742958188705,40.73745608311765,38.87373519539482,43.417577977329856,41.8626588958626,44.24193855640644,38.54813474964632,35.308346114875754,32.89523304575075,29.573292026638327,26.88954219663368,29.446375977315764,25.843756400627004,27.875740544167993,29.966733341107144,30.542132776239058,34.65313939145344,35.90530855176316,33.9202700062286,36.57587397862697,38.31367573034125,38.04629693313803,41.41851176381615,42.401533189846695,47.541688234185976,48.3567360638174,47.675430393018495,47.248702611092995,43.81822176212126,44.59556709547786,42.79698918431234,42.34266950964127,38.891167130943444,39.61708971343284,34.99157453395823,39.005188189367615,37.286962858900054,32.512980966767174,36.5979203057881,35.78118444632202,34.99907854160197,31.753581540934896,34.18446444316324,33.18807950852145,37.938126977082234,40.67900401465164,42.82043888879348,45.88116913757662,44.664488063889344,49.88109443205146,47.013881689282655,48.6215001186549,44.474433104694505,44.155740294894215,46.0598606456848,46.701925390817905,43.3395699219169,44.69248776015993,43.026972835594975,45.89506875744934,41.64983306707246,44.39340162732772,43.57795955541313,43.67362334996606,42.55027899369859,41.54196797388509,42.777249389325654,43.27102506572053,39.72323053053826,42.75901355298412,41.5432150417715,42.45643100126441,45.754137260912664,46.20881448098059,42.16513650747275,42.04196696155261,46.051856571413964,43.396024296551644,38.676833283259384,43.13466432323906,47.00087740229294,41.44555665825888,41.365384157415626,45.2022073109165,43.95733404464948,39.909897164724335,42.86947912617413,41.23947424227715,46.78141877477333,43.13534482113815,44.82245002748597,48.83497373250082,52.11478031812858,56.29656755519607,56.8948999322479,58.91358472141505,56.5442952908102,58.68016697478753,56.21930639075708,58.857486844198085,57.55613489489668,51.54387987071095,53.81406739539962,55.65179788911841,51.3059697244719,49.10427785829659,50.82355662569642,49.69821617608823,46.06952550036395,44.33828783849146,44.258973144666605,47.242891954223644,50.78698027681185,51.8617732508774,54.44305234996012,58.07906088997316,55.269430640504055,51.233162045653444,54.60363917218098,55.38982004282498,50.42624776305058,49.80618034420652,53.049214583667826,51.602706906061364,48.34228210567398,52.712665132810564,53.87120490692287,49.76224112236441,50.35899622601158,54.066444259308476,52.128214720690636,54.53118948951101,53.00969701812491,55.72164877862096,54.40089444496746,48.85199217370291,51.190333207029155,51.92241676408079,48.85448141693226,46.35850896168043,51.09720669312936,49.30142474329255,44.06627677219071,45.22412321723767,49.040507793313935,46.375861578498416,42.51987534440564,38.714765244772785,39.828936547598005,36.07469355754456,39.85034821730271,35.79514889302084,37.83534711517354,36.02072419090659,32.582847157701416,32.66236762369603,33.08972039388714,33.086180975053345,37.34432969142992,35.53304221119577,38.2564081979803,35.617803667086186,38.2755132725573,41.965678471887486,44.84626059332526,44.07905177383579,39.22615262998361,41.81169446631987,43.31684513170701,38.87592474888987,37.6742378430767,41.99600637765227,43.26116871975776,43.760019940420165,46.20342752154299,48.26270466678118],[31.93703102448097,30.25891291563748,30.54998893763751,24.755787533758294,27.18871489386029,28.81906066814106,28.59079275161616,32.95187804306555,31.02850999389748,29.355452388671857,31.84295119060631,35.90594474747374,33.00159661634023,29.582399086483136,33.942065260662716,35.573145994993816,31.852389166805697,34.00320969637483,32.40717170822273,35.85663449554016,36.67019448664506,39.613288823606574,38.58547253290026,36.13602861371964,35.33993606763334,32.25224276330955,32.68493271977571,30.851174468649162,34.22492293190575,36.727393854625106,39.264734947728726,41.14145928406956,44.863736532727394,46.56905473452277,44.04958515636619,40.55515115439568,41.24934769373573,38.205373016424375,36.930550846344026,42.02784972239286,36.79207027319448,37.766730973398424,41.949397174892894,41.96773471579161,42.08386379836131,41.983400785968094,45.726488883432985,45.73901208812155,43.317767026374604,47.8434437242937,50.59768136048464,52.33447078497929,53.78062829723002,48.21577924141963,51.44228919689149,54.71040821419754,51.544885968571634,48.69771845469075,53.04744485869744,54.55813456424837,48.85057283680726,49.577233565341004,48.71747463824661,47.39070994346957,44.95895227474179,43.57483453566292,39.4792811211159,38.538156361842404,34.42959609027684,34.496315569403265,32.041103142533466,33.38971996489259,37.00554630326217,38.8226449441286,40.582917152164164,46.42884890453283,45.35556981170467,49.482435211836965,48.31520993267273,48.66474498819604,48.21755180767773,46.965817468533466,46.908620875514934,46.40340456174001,42.22945065875104,42.049797686424775,42.46196296789346,45.51137570473934,43.32715135130257,47.93948493239113,44.85921148309976,47.37213165121302,45.14995255559013,44.739407316050766,40.599941195893706,41.36261582792995,37.5957372217703,41.58740557864489,40.53091742260222,44.25919117042877,43.490470346090326,44.16640324944131,43.44597641022912,42.76026830626352,43.71127742563844,40.137752310195694,42.801727633858405,40.35448354714766,37.60691429619891,39.15016316956657,34.82052715846507,33.205593080250075,30.94615631381447,28.340133366612278,27.918807791209723,24.952984511384003,26.623423560260502,23.89984560594705,27.152383885176803,29.064481284597335,25.935606615796925,25.59907890291688,21.668348094867124,22.912370001424573,24.565304008122347,24.966914318703815,28.719058414240237,29.9231486151721,32.681270678663076,36.21322457623051,34.46386259069698,39.08296566874968,37.77480456263756,39.97995016037262,34.3991645409629,30.9685329982618,28.60224518796557,25.27906622709678,22.668436718652615,25.34812910369383,22.25060749414251,24.850187310907017,26.699067778294534,26.82465329864266,31.08963905499512,32.01588814249946,29.797323687108815,32.19632279697353,33.72788704796399,33.29023372800611,36.539782401546034,37.518173288139266,42.630610927265316,43.46173696206454,42.90474249984327,42.48836364112115,39.133939211664114,39.83173950825051,38.249062941279234,37.70711889172912,34.49437086340689,35.511751025361264,31.03013133656913,35.26426660392471,33.7387756817642,29.10949243851867,33.142103755720306,32.75944295118177,31.666425159591356,28.214690202480995,30.380282273217063,29.230242314842027,34.00308876923544,36.61055203125078,38.702902925513904,41.591253117377164,40.39760522221389,45.65878596739006,43.0054725696345,44.50522975443051,40.549756227823416,39.83311781220458,42.01934560890776,42.90372643525718,39.581482855232665,41.23573553419759,39.67805028888219,42.8444865620636,38.96023904795391,41.4747108962737,40.6272489345183,40.3831095890089,39.192402008219,37.93293219555592,39.01709470598767,39.461018457507606,35.6855416822921,38.558171594920985,37.19815252546898,37.86550926278473,41.18115739519077,41.43970917787646,37.3711322716834,37.39507533440635,41.331054738386094,38.52858307159345,33.95224959912759,38.47587086469009,42.17907079852518,36.60432067870642,36.677447529408134,40.516540066148885,39.141651656813046,35.22599263823474,38.366921297262614,36.78321328118368,42.34041816614235,39.00197597921068,40.448598670838805,44.434448302819405,47.83457207333336,51.96667502368891,52.66017081551541,54.51518130249852,52.11012218904745,54.2102625591848,51.66109624714061,54.482738011855396,53.271593577900084,47.17773723378214,49.478081156088386,51.56779075073386,47.23882226927785,44.94747606545164,46.843326645894784,45.932340562935444,42.16884785311529,40.386956976420265,39.99446920467048,42.841209524816854,46.374547762942946,47.27394630983064,49.76450086664104,53.312632272498625,50.45394900118586,46.461502680781,49.762810003155785,50.45890381130235,45.49254221803302,44.90922186166611,48.093676143691965,46.60500095769918,43.39618342358109,47.82903292637802,48.943886494033556,44.83786386236096,45.54516594566448,49.28627599016533,47.40501711328165,49.79318218727103,48.24525808637641,51.08027644371563,49.819505727661614,44.21646422367935,46.638359219825176,47.53064478504757,44.45392498769279,41.963227230885295,46.90535252464692,45.253828390414654,39.91903895885269,41.15905982635409,45.20706067985548,42.64241565450479,38.708844766353565,34.72189855756876,36.29347844705447,32.42690152221326,36.00754870967498,31.67134323479695,33.41682498788307,31.360538772656483,28.16556391449318,28.271198231688956,28.993394249989354,28.841312296846862,32.947334552944206,30.854942555563536,33.630729631318,30.83458570347818,33.352153036808836,36.995893459285774,39.84105646223059,39.051796561870454,34.19718860039642,36.79729843205419,38.274835516055994,33.834522264772005,32.673185676355835,37.022383000946235,38.33637599725993,38.825595679514606,41.30951400806601,43.354070279131626],[32.66228301952412,30.715740656013974,30.5437250618188,25.044590976526248,26.715729186923713,29.398804253660398,29.105094725140763,33.570652688161246,32.26068309346278,30.533336989256142,33.35005897430658,37.23226310632369,33.85176235587961,30.944862154568682,35.26886860916476,36.48641628756003,32.4577742142426,34.58403981787892,32.789676240728426,35.7895383806742,36.5429076663027,39.06157384796128,38.07115411311634,35.343728937465386,34.472203964495684,31.80934183787508,32.09437730222272,30.61965795742667,34.32049719729212,36.96658240756999,40.15557122515783,41.716218196179234,45.688914595496,47.26481398284967,44.3866429960401,40.75165288457201,41.162175601275045,37.703419208720085,36.02096584994826,40.63775165927209,35.311122549742066,36.898677066446695,40.91060469363658,40.51142143639789,40.30748504739937,39.806384076015384,43.57019754484964,43.97904053464852,41.35882362060898,45.55226099672956,48.66561153033819,50.375574328826694,52.090278186807744,46.72969403369115,50.16953672702978,53.43621767950801,50.25496078160278,47.74858362915313,52.25431701270612,53.556642938240344,48.05131793027956,49.2383967478861,48.69168462345426,47.38435364729445,44.573185376335275,43.341828971981755,39.73691230957331,39.060755039959325,35.3087519102715,35.765420940777474,33.464943640080996,35.18511432641801,38.52949390550429,39.933184443666896,41.54811286605462,47.31295318008417,45.714485977140974,49.92847002451642,48.373065387517755,48.30871466777864,47.726428781996894,46.014703758095095,46.054161245317296,45.1079491509075,40.837909582937144,41.1929191735534,41.833301246763966,45.19170570985431,43.29988770715997,48.29555115838895,45.53020896331078,48.38703320773086,46.3448195060522,45.96598133826222,41.8580438466868,43.025269576521445,39.27797720811125,42.7800018197998,41.61676223438897,45.279842578630685,44.02181012642149,44.339821107786356,43.28969354934122,42.30145460964659,42.60057262357122,39.09984362055054,41.46986481179956,38.69784224695014,36.2199080790241,38.17461937806986,34.12349398639012,32.50651922265613,30.892256399837382,27.996235941163615,28.205547776924277,24.926771599902565,26.686097375739976,23.697263709443085,27.311219246427594,29.609227915885786,26.792069287365052,26.57983834693956,22.275005764328842,23.424281698753568,25.077237738799226,24.490074972250042,28.220074997578948,28.922661223545273,31.31569494554955,34.593419041100155,32.338030394241336,36.824501543358366,35.260016488384984,37.90865282732661,32.139927055756964,29.154674785956626,26.343568514541815,23.3556981624821,20.990293162674593,23.937075637910404,20.861570365150286,23.208424804354692,25.639534674246203,25.861298802819366,30.01071862412567,31.422707451375345,29.255856612731222,31.995560362858804,33.40739599826549,33.49461891065707,36.59506540574487,38.186067385047025,43.13952264071638,44.55420581507377,44.03904222052993,43.19269278574132,39.72069648624551,39.94522897278004,38.335822817991314,37.15845854059881,33.486052771449074,34.72183490303632,29.72675786273371,33.81259719052435,31.62987682666785,26.598321368280185,30.38593245466762,29.534973333148596,28.425124879352914,25.296091184636307,27.749732281995115,27.140772529399452,32.065236890534294,35.006520396200244,37.46427985507693,40.599212509824206,39.89638437222604,44.89340079574881,41.853850688000584,43.156889499722745,38.78047002376393,38.31641072927731,39.90559640747936,40.45613135578332,37.20709834465883,38.99392614365958,37.76586350963918,40.47424593432388,36.32480142581601,38.6512240103204,37.56989200455692,37.50395189375603,36.08588509223098,34.92783079601481,36.04273548114206,36.412168108085346,32.89653049540651,35.976240355245864,34.871814291596,36.00187218805835,39.32768465713166,40.04081551031956,36.05693231650705,35.85419304917268,40.020697652597555,37.67554877169221,32.91355295786677,37.39700710698684,41.507098841586895,36.285919830895615,36.22798432642995,40.177676119291085,39.24599087981282,35.39431853565393,38.31103697353836,36.33687436649987,41.89295922476061,37.810112818086836,39.266008087482135,43.38014481250948,46.34896532271809,50.733979588156245,50.95092091167178,52.844964895451135,50.30810466914421,52.30707038022734,49.80698850514659,52.266041361614924,51.041245337867274,45.03425762896242,47.16272988717922,48.92602591962886,44.64010582983844,42.37464446791524,43.97662742385627,42.9130552991611,39.36227497789712,37.46750354694771,37.590159200440915,40.58560713188389,44.137185654056815,45.42084098612561,48.081819049402505,51.87139352819847,49.1609915796193,45.03889433312244,48.62670004499012,49.6042515447915,44.65285468963279,44.04965200950258,47.5762677849794,46.37036798150601,43.060253513469746,47.344343517539194,48.8135233991588,44.98495842593281,45.334549837119184,48.93097528324488,46.74909355747128,48.872336680559165,47.122874642051535,49.66257732125809,48.595731419260865,43.0278138985468,45.017480770673735,45.84071141911013,42.924878733646715,40.12319753041813,44.75144696358979,43.23112706271188,37.95637697338415,38.779408532737435,42.699288780820595,40.30738231982913,36.43034810260574,32.782647074014065,34.06762359767311,30.587427320332413,34.55827242581931,30.58788910294405,32.34002034653819,30.874434614358567,27.53046786678135,27.083588061965237,27.24804681723092,26.894744685926163,31.081370690257028,29.36900370104866,31.876578307645683,29.518385626420105,32.60183497684847,36.378429478989766,39.46803442009177,38.94872681621342,34.04031051852733,36.87103346163244,38.74504692090545,34.36409784369203,33.29550729411108,37.906542808577896,39.60627697308782,40.088720800272085,42.63383533127867,44.592202522105374],[36.847920258662896,34.81246937017111,34.409118615293714,28.753334099722267,29.9985220051286,32.459580840767394,31.631739588756343,35.8731809985379,34.29397682116359,31.975560277857486,34.522331798154276,38.54207159126121,34.806287609562936,31.683802459235793,35.58602174731198,36.827558108685054,32.5937373907123,34.08432990717293,31.603008648832088,34.72817679907777,34.91916769840028,37.38514537899136,35.93991472176487,33.06187757923259,32.71813157958627,30.28705550696138,31.188376222095805,30.19005025444087,34.08693637620785,37.176877804424905,39.91431714212842,42.04248575976733,45.87411003009666,46.98732261927708,44.21730876527491,40.34932496829054,41.24499182328065,37.275126667727086,35.649428567872384,40.117948331884804,34.42182936210763,35.72359717414426,39.55879648433757,39.390068790565905,38.87668491906967,38.607142355276544,42.12763759758139,42.68444939236721,40.53382125862047,44.63873571833362,47.65521137501849,49.66680585802494,51.22670111442162,45.75933124820142,49.50108405272888,52.416240147752994,48.92845682754331,46.638300734127824,51.12406112432045,52.05241445324629,46.44295502790712,47.49989859342924,47.178481405432265,45.38498193988653,42.72384118427692,41.892544260306344,38.07256363916749,37.878139897224735,33.941991632756434,34.869811554390864,32.33361500535408,33.76948413010218,37.29565531504516,38.29807006801958,40.424808008894026,45.93120216126204,44.469597518809614,48.86374990334207,47.420469456097045,47.29021308448282,47.18884941698709,45.548653572541504,46.14810865681852,45.22304418704919,40.82286424946874,41.13336596563111,41.259565928881635,44.948951207874195,42.56083748827442,47.691277221296666,44.77302220620438,47.41018277902519,45.686582495557566,45.702829655392726,41.87247260522589,43.07220118359873,39.596913841724636,43.30903628526307,42.54801286613095,46.627049515274194,44.942309414252556,45.809864244204775,44.2812536859268,43.84625123840046,44.03555000816096,40.958076165233045,43.6116644236246,40.959697511164265,38.83897006359102,40.58703225598602,36.72994492187265,34.54515739549006,32.905593312865754,29.603362901556373,29.244046102399157,25.7296749849767,26.796240244036323,23.05999693943585,26.115080436508098,29.028049226800245,26.39347628165774,26.81628087566975,22.77817779688055,24.61848105857215,26.90983566653531,26.473344487557515,30.91202182276081,31.223564255046313,33.72371346903851,36.57685249872877,34.74704353299356,39.10783690911761,37.09645010552223,39.58248925917164,33.795015644750386,30.85251807485994,28.61356811292203,25.160617397432226,22.40876385376556,24.82382843464628,20.913081128206276,22.454156962913007,24.96638892206437,25.83218489649136,29.74550496911435,31.511990944599575,29.745521050549147,32.866035248730185,34.743245390407985,35.15035092746345,38.63100820788825,40.21942145363843,45.24758935257739,46.80447447474335,45.8485778201732,44.8451161636905,41.16467975876888,41.605014154540285,39.478996620867846,38.66902414914135,34.664090398452736,35.21775896256375,30.215696851933227,33.96066438195505,31.867199601212675,26.960980841453292,31.05413496674184,29.97707050011131,29.541428854564096,26.41396117123921,29.05436435558386,28.199936281533436,32.884462632079966,35.82741215694227,38.15352900591293,41.49428003056131,40.577216205705376,45.548951241975985,42.27829754562058,43.87065181699702,39.405173773178404,39.60530604181068,41.04289772226848,41.40006476057746,38.011384174604274,39.12616711756123,37.51907184115798,40.07260400444429,35.63684309557343,38.42080744116435,37.62633924568716,37.94995516419227,36.95850025836753,36.23178205014842,37.71323805335752,38.493041352355185,35.31287613500158,38.66507638380445,37.994188985708895,39.00653552038719,42.65712330741881,43.279790712480455,39.296185274657574,39.476294770091336,43.68767453233666,41.29651487637284,36.82075446111498,41.40015678653729,45.37859588040758,40.24329371206516,40.41142237273475,44.37170458668171,43.27597649403032,39.61147141561296,42.70757384455541,40.75666159541823,46.313057248537596,42.29271428463451,43.57496353419652,47.699514827847814,50.58818775090306,55.033131228663045,55.09095984597211,56.814807165685444,54.11680153440012,55.91264830625993,53.206685466368135,55.58272918148528,54.60837059500872,48.553340568711356,50.38626728408507,52.217826726041906,48.08788407475425,45.623305297137584,46.935493570528315,46.15637111227699,42.79894292930283,40.38612196521133,40.9057565341301,43.44805507800473,47.10103690039543,48.64806065802174,51.08949697865881,55.01285319549041,52.060302388144606,48.125909114486824,51.99067024771457,52.76063912299033,47.770214419570614,47.51631772140213,51.0737155412568,49.819986063252145,46.71166333853918,51.12525190927383,52.566394205045206,48.77164996598876,49.33897030739567,52.96421527500067,50.80574354140537,52.78665030172079,50.83555652316283,53.42089526875305,52.61617265210461,46.99181792525206,48.78715513049763,49.82925354460787,47.023014606012424,43.99192703402236,48.60385002009507,47.35928241340651,42.05562059546054,42.58328862523649,46.608627099218104,44.45059832697248,40.58105987248646,37.047140649258715,38.3957651103336,35.075377415425145,39.10561911832315,35.12802530181967,36.66665218798584,35.09971950951978,31.97842585322617,31.415654584332586,31.581676996752137,30.947230343877457,34.94680112913836,32.93781289545961,35.07745108951293,32.49198745716872,36.009951686374755,39.501612218691434,42.713527103882754,41.81969652875761,37.17356599535754,40.348241118168765,41.94178728469413,37.30415624136525,36.78267231642783,41.34018945209964,42.813880668549395,43.04288463089013,45.537922440867234,47.561346962043075],[36.34841327985932,34.1724267140808,33.51157471998248,27.741950737938847,28.66668039222269,30.865986563621153,29.682712789609855,33.75744266007693,32.06181497412151,29.464206158301565,31.906850667553666,35.94484677314933,32.067660634198454,28.90840860051368,32.65740971960109,33.88486183556807,29.614009585446,30.96995659895922,28.426073592904046,31.609518067986198,31.79796456139535,34.35357843493193,32.937699642421535,30.15359008075128,29.768160052789995,27.216411014239664,28.18068215482859,27.176141742107678,31.058413025324285,34.22791814845851,36.82939891349926,39.09068701763447,42.87248426757408,43.89175507485488,41.165947373969516,37.273456340149764,38.29887730470302,34.30748726799261,32.79080281698612,37.391795872956926,31.692438379520695,32.77171400801269,36.65902480945704,36.64341514347737,36.26581491285241,36.19917987641531,39.7193710455448,40.0697771095677,38.028765958995905,42.30485370095709,45.1292426882245,47.17080275521676,48.598372199567734,43.04418661318301,46.72898402081514,49.61611169038001,46.123952524968466,43.72661089950866,48.169905167795314,49.156653521917626,43.48393912886521,44.437525865846375,44.052293920085845,42.283467974891224,39.672826579423734,38.79415706407667,34.90607634412241,34.693144066807356,30.743801668402273,31.71287610832443,29.178137134852218,30.659680232902613,34.13953492582936,35.107648558000484,37.23339279782542,42.732369883676256,41.29587783754957,45.69118168040247,44.29589826113675,44.23076197722663,44.202356777255496,42.68790065509448,43.359830617235204,42.57154226937782,38.178198706456506,38.314999999805046,38.29911648886931,41.973606344740155,39.46655390851963,44.56766848687934,41.61247955932109,44.22507148314228,42.53765307593852,42.613502635897724,38.84626063080876,40.0855195745269,36.68996078283002,40.40969778614204,39.77680183203686,44.00104697614119,42.16668288357382,43.26791576255068,41.60116402760606,41.43108561523679,41.731261915410634,38.82314960066504,41.6979073597791,39.22881204188333,37.22274652699956,38.72284396351712,34.929170610426006,32.43922464509214,30.691987236058257,27.253006675725043,26.586492688176907,23.035000207236532,23.86967458395482,20.029219719272152,22.95758970449542,25.911911418495414,23.3135826715675,23.89163197563556,19.965868712876183,22.05144969834181,24.617139209437383,24.35176668574904,29.161344363135427,29.343939111437678,31.995797617768257,34.700600995488124,33.313359170831426,37.65799852603306,35.559046668056936,37.741443566181374,32.0488596161498,28.935381018048556,27.18836353017982,23.36758920223449,20.37520010257127,22.46752154073198,18.351329131308354,19.810241223424455,22.109844348907743,23.06970147940306,26.95863820119648,28.672995347072423,27.008398597769517,30.181391493604,32.24505133521799,32.72487016945404,36.387374715574495,37.932258004663495,42.983360678551655,44.616532015139335,43.435114178619514,42.3541407964876,38.59792066588494,39.16337612216575,36.83384792873685,36.27031119094382,32.25210952053349,32.52322583947773,27.675772324566864,31.377604438786115,29.584756739411592,24.93412910993926,29.24230300471568,28.446802577252598,28.216603027746036,24.865547375962368,27.38100582176253,26.157259271924772,30.67845302462366,33.48010684924239,35.63550257176996,38.9632212507682,37.8633797750704,42.87991703270024,39.654090580930955,41.389379176050305,37.05829194075574,37.38189668202574,39.0073030020717,39.46821184193487,36.001191757960235,36.876055886060016,35.044082344076266,37.808558574510364,33.513156828763876,36.45376158340496,35.86784005006382,36.14779900396492,35.42763797287113,34.776797217501965,36.38506327889988,37.41804599681404,34.252538560721675,37.64209941047448,37.13358857704709,37.82574779261154,41.71467551384263,42.08055684347387,38.07831335529379,38.661041304988615,42.81996177117019,40.25698602274413,36.122004664999835,40.805105901137146,44.525703650759105,39.43622601890584,39.88620232775127,43.83058424459045,42.50082481851201,39.08634768008533,42.43572162266159,40.568423049871306,46.111487182161255,42.43273281453393,43.409833888470715,47.499356464077415,50.455183501856816,54.872040304379986,54.94034022563495,56.41724407439828,53.59686801605189,55.234259070172556,52.314403899358325,54.813493890691184,54.081840374224136,47.926204408602295,49.59531052646585,51.70650764926964,47.69451528479098,45.020654134463946,46.30735295679383,45.909924410305706,42.55275493746536,39.75957999732055,40.24867622484316,42.35174270216899,46.063744806275274,47.61654388955074,49.81516071892447,53.73644516682823,50.56429158818013,46.81236953812842,50.7865610712446,51.316009153504176,46.30387635053704,46.32753409780577,49.82669503901469,48.48925417844027,45.580562205385746,50.130283054799456,51.48759076079816,47.71335868320379,48.5396249780691,52.20919451033331,50.13988926853763,52.027040312840285,49.93644935673506,52.6700862664128,52.076063564321245,46.379830921840046,48.13833485559012,49.45923811804218,46.71197789095524,43.55931802782765,48.34078832071298,47.38380535987415,41.98700641303404,42.41410705739309,46.70008396679106,44.76040991905458,40.83665900610261,37.216968319773635,38.97905004688332,35.6558815384974,39.53709303899389,35.33660180977492,36.49853503491761,34.65805732403347,31.903370823782666,31.30425180555542,31.723305298604156,30.794810873712358,34.52951778118594,32.07422480983228,34.005195466840945,31.109118899027933,34.78791920468716,38.01642154321453,41.26354271065184,40.069646232262635,35.63600722590097,39.0445992418127,40.386752949930184,35.585825151941975,35.499778449656255,39.99454223219722,41.312557899436975,41.3481659508767,43.81680595694983,45.8747752898367],[33.99294094341235,31.625978602511637,30.649391284603574,25.155951374739754,25.610148200346273,28.56571776230007,27.511150626331073,31.7199266059369,30.607292544690324,28.269527404943265,31.09240074131496,34.890676616526115,30.86566595495185,28.251686803372294,32.19881194314806,33.082449848592006,28.735184209310297,30.486265885866384,28.312481463288304,31.032169278880488,31.603062526290874,33.875534350447175,32.86230362190748,30.029466526583363,29.15249105371015,26.74461706790656,27.125288541621067,26.05556762502202,30.024394332561045,32.99746455056886,36.36726024328123,38.01586711495309,42.05661490675089,43.27203227390586,40.22104089344537,36.395444920516724,36.895247305380465,32.953727050861865,31.117870129495433,35.493018698313385,29.996439463797085,31.694333515163727,35.584869162111325,35.12771051001687,34.781157077014875,34.30995520623185,38.02615458781563,38.492289459394655,35.99852988445381,40.155071092742624,43.24671730647517,45.065020834982114,46.75365086915831,41.399283633053926,45.0061789442709,48.132223480732364,44.85221517414246,42.52137658051944,47.076504959861616,48.19793890311925,42.74706625222364,44.11326180266362,43.7781785767266,42.41034634635384,39.422398560473496,38.345950654279136,35.00751556852751,34.628206916670806,31.131761660543376,32.04477051778996,29.840446600957762,31.82484659636034,34.902402616306496,35.84246779318957,37.44607271307774,43.04083777031308,41.11444168716081,45.42259649247623,43.67025729225577,43.35988506515593,42.904684615193474,41.03559209024667,41.411599071187695,40.32515133523816,35.95047460665583,36.46627878351973,36.94406438219326,40.60388608630864,38.647209687686804,43.91445662429952,41.31068809385286,44.3269452145437,42.560751343933795,42.39212569845346,38.48725316770821,40.01487156524018,36.4827280529161,39.67226654187393,38.727141347921425,42.66303678999122,40.70120200648038,41.251951299630896,39.607505894267675,38.946794100381496,38.87558980906856,35.820494914178646,38.39387785415332,35.69052808489039,33.720745559251284,35.538149306256464,31.863952915571293,29.591574982480385,28.30605820588099,24.860206033222745,24.949937291391052,21.322366444179224,22.639248643237952,19.152009635121427,22.745739242895947,25.507715178864654,23.062854729248592,23.30151723926557,18.967977173465503,20.549068502257764,22.77064308829183,21.718651770552505,26.227504064517756,26.207854049456138,28.585981255678362,31.291201614181897,29.471891599811034,33.79019261499464,31.724811391604167,34.20608665322707,28.410969877433402,25.526916975443957,23.321194732250955,19.849677092420407,17.169153300722744,19.699479019288177,16.104595162171698,17.924186126328298,20.573608844552282,21.16109486919375,25.110823082465604,26.93543452565823,25.06914183800144,28.256139526033454,29.979701989670243,30.675373864854564,34.04445095097671,36.02387006319851,40.909840191638494,42.9043412922786,41.95434415975953,40.6327073294266,36.9063441138065,37.02338444864388,34.942857829984284,33.751428802554535,29.596103589673625,30.389157634612467,25.201154615392944,29.008982998852897,26.750700560439057,21.773692490676407,25.808698298595797,24.923282945908042,24.342973111925414,21.10347871100694,23.687143883000065,22.87249121570865,27.618879433497394,30.62800684318221,33.088347625850616,36.46146327472906,35.811254279641545,40.65769595461454,37.313868879967636,38.759531021942635,34.21722156210481,34.34520136351812,35.70000270863179,36.081471567813054,32.716958881862816,34.0470356425165,32.63930719370581,35.24813953276093,30.997254029985722,33.54704949923272,32.6760462298419,32.80979700274097,31.756837458148734,30.941155999504836,32.41268893250167,33.27129770375351,30.101614705575397,33.50818302212189,33.024150206441455,33.95605485401662,37.78026879241102,38.39782246550014,34.45535248336934,34.85978948705688,39.11832155178492,36.83003850702574,32.59453150210962,37.227719671339464,41.163443160554785,36.31687171391615,36.69138983815478,40.67966027200698,39.63939126671264,36.305562833847326,39.513554750172766,37.42069599227809,42.92438564470779,38.90519848978439,39.80829322738113,43.94223178150151,46.66554342109905,51.19332773344531,51.027151348174044,52.49476611350774,49.616968583221116,51.216726013648234,48.34887578316594,50.6968062296572,49.9339933161821,43.82571251138767,45.45644992478925,47.43692923625661,43.434387494153725,40.786080649902516,42.012867479958864,41.54953118922055,38.24421073704334,35.45728055935276,36.07762445470673,38.3180975891026,42.01172813316309,43.6885334887796,46.01954820282152,50.03059846262627,47.01093057155762,43.14129310179933,47.20505524065977,47.946116594460385,42.96334583183102,42.89738249755583,46.58875879707063,45.44460430616332,42.445070903443735,46.86811605817641,48.44941387958802,44.86908784361828,45.44015240315293,49.00334768556908,46.75920659572967,48.49013901002684,46.30919201090459,48.875719542769545,48.375711627543275,42.71638831850976,44.25500862227893,45.54474263239512,42.89030814524071,39.5926357194947,44.23635430929769,43.37870397675078,38.01487962310938,38.249555506737465,42.51624147155838,40.70310687529796,36.80828682359411,33.343428294953384,35.1052713803486,32.00083065206357,35.99026685563926,31.95469601895257,33.005577825125414,31.493816251447637,28.750584028116545,27.81582235297175,27.992322128665286,26.896229341166293,30.599169398592462,28.344729129747638,30.16550098648562,27.570074694108083,31.485120925419718,34.83967656765993,38.20031930619983,37.293831602752014,32.76959089528621,36.23904347333894,37.91157238188387,33.25026003488662,33.09906718261087,37.764856677363426,39.42141294067279,39.5246806186625,42.055379470955664,44.02278271760061],[38.090205271610984,35.83647787329742,35.00988738473059,29.68499648937333,30.19646532957456,33.46004162026028,32.52797635710977,36.761982222425814,35.70961352135741,33.33791876933523,36.113149425429064,39.928983107937874,35.79879907060577,33.171573142684814,36.957600352263995,37.80673347832059,33.35043220999009,34.75449118915972,32.100862527748944,34.733208855747414,34.8314193004174,36.83088436134772,35.4223996412115,32.29669898388671,31.91091204568454,29.977888968146,30.754300977601485,30.168779762013685,34.313212565785406,37.51860801082632,40.799222553016904,42.63956686033636,46.65343244701928,47.60832816654792,44.53396418226833,40.56383082630894,41.212383249598744,36.857779795805875,34.862625066857596,38.77745189321194,33.03023144916255,34.90819622870569,38.50524749733915,37.935863857165266,37.0751720891646,36.41880930351899,39.906577744664375,40.872491206342744,38.58556417470117,42.311093226450005,45.6547864589607,47.65439834761469,49.455198037306815,44.22187116964055,48.17268643040396,51.037442255365434,47.53547684626339,45.61762586996992,50.22206878458321,50.91294628535524,45.54210332304373,47.041886466661616,47.042822191713974,45.26601889765764,42.26092078070359,41.61010551562823,38.31522380066022,38.40018752094224,34.86709981294373,36.158633221588524,33.808983717905775,35.56437735396856,38.7796072815068,39.368910605088,41.33849457735108,46.695992763403495,44.7470939960408,49.190188055151296,47.39060808416593,46.85482028960686,46.655529850741004,44.588633437786164,45.32614632836007,43.98603901761255,39.52528173279845,40.350770683010055,40.65305226287185,44.62589188810075,42.51178497564754,47.96491108358321,45.368818347397955,48.29926653668227,46.773404813737905,46.83494499885662,43.086333253362106,44.64573420400704,41.236696244997276,44.474106369095416,43.64876197315593,47.66003951534919,45.5109196243592,46.09096389420059,44.226990738758445,43.575829107855526,43.14262611886856,40.22830157549667,42.61694576544071,39.71817495560009,37.936840345725386,40.00011665517013,36.48402096298072,34.254741555343436,33.223831212832,29.68877050528904,29.848727481182422,26.129576563577135,27.18617761951955,23.270532708294958,26.53602233567859,29.76709610974091,27.501373825695886,28.0517203549956,23.82745416288,25.566696190751358,27.842760792877684,26.57537820471737,30.971755027699757,30.769369139940455,32.898457250499696,35.391794768577,33.19877268585617,37.33658496755542,35.03036723368586,37.87386942733135,31.99786271585825,29.55397082064643,27.059116169049346,23.944826082869398,21.46353412476991,23.958010769090357,20.092275632907956,21.20375423141685,24.244100772934022,25.249745589200188,28.91645513201631,31.1565126593008,29.52102088180894,32.92967219211608,34.70894875226802,35.618697344341605,38.95283434494494,41.064704754048904,45.90337278945396,47.98031828017247,47.02913457271855,45.63555186181597,41.87033384935822,41.89839141453182,39.72420236720482,38.380279871110005,33.97204003037545,34.64279389086749,29.244193022177377,32.72262394600834,30.020756412445472,24.827113084217515,28.6363477573173,27.052414467697307,26.748667669290832,24.024164708492105,26.92781642527166,26.58871112049364,31.27817646168197,34.49615862259362,37.12250974692499,40.6780677028747,40.21478087337621,44.87497307249308,41.24579127897987,42.66387462100652,37.83339327119972,38.36571893746913,39.18912095305721,39.188543540063094,35.8909779881307,37.02406704862053,35.7179549450703,37.76047640804657,33.06244842432156,35.689875889154656,34.71023307695198,35.27221492450848,34.13740458606317,33.602876281786855,35.16583526752895,35.94795146336009,33.135604151647925,36.682739356412974,36.352797923846694,37.74112498326975,41.413672055513445,42.415177117342296,38.56475171469189,38.62151910285895,42.98350094815914,41.01579011954752,36.51182652606738,41.00570847548002,45.25537637758585,40.5083072802295,40.613789577476595,44.62140065193643,43.88167883054378,40.35781267017376,43.27242827787118,41.02130554203313,46.509995416103834,41.93079558630366,43.144500277183255,47.33222926652684,49.79946629207921,54.434641545212756,54.04212693684448,55.73631671480848,52.90453706650322,54.54755735705182,51.862461793716236,53.87887727342452,52.958381011058506,47.02459265798452,48.618416546747454,50.160726154938715,46.148028017337786,43.683433759889766,44.65064077219179,43.81909059571063,40.738622194308164,38.12411121455848,39.193855978072165,41.73379286835894,45.381386535150575,47.3116208263079,49.8391738189944,53.97071928414311,51.13475284412155,47.15475049691461,51.2899991233158,52.267523273759636,47.33073325880104,47.12409519236609,50.95561557851125,49.954728582011576,46.823605031094324,51.089606878436186,52.825140990111116,49.31150937553555,49.605658273272134,53.080144168047234,50.682320850623746,52.38148331548821,50.22708819460733,52.53925017887806,51.973354438007796,46.421744391393965,47.77415822545395,48.80062303190983,46.19331248332604,42.86976484573404,47.15166209102801,46.11647607428262,40.92239965140209,40.99806403558316,44.89829032672364,42.99278284781805,39.22666264257408,36.073323738281346,37.19931018320122,34.32176497645202,38.612239793652485,34.99707331506565,36.43824722937244,35.36792777504114,32.25046427844805,31.210163512641813,30.91392542901218,30.037031387217507,33.955785057942194,32.24647254422629,34.02252274928453,31.83935128475576,35.863486482359754,39.363576427316474,42.76743967725859,42.0662897327705,37.476872640617565,40.85997950637595,42.73422602754724,38.17083804550947,37.81066231115569,42.52835900427074,44.287611794338,44.476733729499124,47.0013854578328,48.942949721673514],[40.31475550748867,37.9523337557146,36.892545442694605,31.43164688719011,31.58639465479482,34.54897106562901,33.154868745048255,37.142626498358396,35.891079486786055,33.0677641597412,35.61015983620688,39.47257751821642,35.08853176292042,32.3671077619538,35.77127336956404,36.59910267145996,32.03845049858389,32.949083675062724,29.834748554995425,32.512329970257845,32.22261793161979,34.18435420244145,32.48898018831697,29.306572842824213,29.269821977175074,27.493225730921655,28.708348988016134,28.47425063814351,32.70052627178692,36.20064238833725,39.12326666831594,41.357829984837316,45.23648436910708,45.84019334150846,42.86397469567007,38.75707884393456,39.76775148396364,35.090664431535565,33.1918673831613,37.02873617411476,31.068279377931905,32.64411483230915,36.112587911020235,35.76835597064985,34.75954614115956,34.3677452180233,37.67218643896924,38.63327457548389,36.7359014237356,40.4725706557831,43.63824973522822,45.85139679252813,47.473266271622045,42.146398229690774,46.2563499236258,48.85895628614151,45.161607466065604,43.35041758192729,47.903793415138416,48.36756647313504,42.9193938551331,44.29224591612251,44.42597084430937,42.35053355404283,39.463929371498445,39.07068898639583,35.653980038886424,36.0679525812717,32.47468051219451,34.10688396201068,31.653752376876398,33.25707013781509,36.499787251013146,36.77351373915729,39.04434384437162,44.18487883266477,42.31818171742072,46.856702562376924,45.14618915174078,44.58606132390717,44.737262244848154,42.78067008389184,43.922522570767036,42.6686534708711,38.15219070470937,38.862591308913586,38.75666095705421,42.922784765256864,40.44979874017559,45.956862901573395,43.275752890928494,46.05160410474502,44.76732461141066,45.10871589065129,41.59726367900374,43.202576790292255,40.03194336348371,43.35221056842641,42.84014923600651,47.146859279902905,44.66530946389864,45.69223493890482,43.46982886833421,43.300157312630404,42.86025339258028,40.3155387542173,42.98280603066733,40.27978167455743,38.77837724121726,40.56492099013304,37.21465581371147,34.51258916066626,33.420143162380306,29.61870320717168,29.294247464667407,25.47238859763049,25.961892889019456,21.581209114481194,24.3532173716951,27.9841096447542,25.9260331301489,26.94427336936561,23.01959570995023,25.237001300865778,27.969070649772615,26.887116703878977,31.818011651108392,31.33737851474416,33.59512466775799,35.73804481620426,34.07312097764603,38.097751792781345,35.49573802177983,38.036002802764074,32.25736078063681,29.768202424965583,27.9262298102072,24.380443897243865,21.59125833228187,23.528778279888197,19.114544341739666,19.55948740209722,22.515374057322063,23.998806488886455,27.420430420102665,29.859607120686096,28.562523519999605,32.199841358873385,34.337902322151805,35.4741921060364,39.09605734709316,41.17072175598273,46.03455073745597,48.226186851671734,46.905695855223875,45.38216374741899,41.4778208959592,41.69382012485569,39.117798976479484,38.13018397697147,33.54817431037218,33.63507879843553,28.367493305340613,31.549473898509632,29.088395269944456,24.19205410065738,28.270822180424116,26.722365954771888,26.992895384231392,24.17787690089041,27.077974801586127,26.378823604361347,30.75969225128887,33.869625176747576,36.29899265581727,39.95295886800912,39.26879913749439,43.89851800769547,40.16320839792998,41.83292842103486,37.04933860490288,38.06958587549339,38.896713588785026,38.83314478818804,35.42544521593368,35.971166287245495,34.299776959184854,36.33303979147499,31.54505862889233,34.55896690042426,33.90185503648215,34.69910081488374,34.01509819829486,33.806573613087124,35.659628613328486,36.83848830088263,34.24913793879772,37.94192012737789,37.94568521492185,39.060256795926286,43.03165638516237,43.81827117687052,39.97225957233675,40.47161135983394,44.804802669689764,42.70613659971088,38.56285065854522,43.155967531723554,47.167427819170136,42.48744915878697,42.87005816259114,46.866461375486324,45.89617312759726,42.60538584878282,45.75922836069057,43.58376553534601,49.06559172955258,44.74735255465834,45.69827274215477,49.86222638207317,52.34164776306938,56.975555371287676,56.52469971763792,57.979214399836685,54.99588882970611,56.432532947423084,53.51208932400393,55.55850184302901,54.92454397904976,48.919886086879075,50.25145391511737,52.00219627264997,48.16036373813354,45.469699739525744,46.26361179765585,45.82998051577125,42.862212650761464,39.75104335978663,40.99947148333967,43.0100872128964,46.73237708428274,48.79801930115266,51.04671819483469,55.2352662731505,52.14049453234763,48.38876013378182,52.7232734772884,53.438350710542224,48.482687516019695,48.62837798003505,52.42592272796719,51.34799239402396,48.44847820035495,52.85638634954971,54.517539734954624,51.03214409398106,51.59697923059,55.112305117345585,52.78996141387384,54.36475830734788,52.03072413304976,54.457195377589485,54.150766530196684,48.53560160932054,49.77458886848922,51.08130782008367,48.56502364114183,45.06959467605818,49.44283268932906,48.72050347852674,43.46465449662262,43.345984454112255,47.44996638002896,45.79292755490156,42.004768706158806,38.8456838857419,40.25807794606905,37.43292149182735,41.64011342911186,37.87243763617949,38.999358482349905,37.697333641282675,34.895181544743856,33.815021491269974,33.69827399903182,32.53579307591961,36.19260844849155,34.06772631307288,35.530548453946956,33.04971112595142,37.3559574412642,40.53669047130507,44.00740595615316,42.9330606746362,38.626136858687204,42.301979068956165,43.874252338602616,39.10354521648373,39.26510288257351,43.90138936329529,45.44503088460906,45.393619765970804,47.867874390813995,49.85629921533766],[38.03755053948255,35.43538463019851,33.906511273661266,28.565768303243797,28.03688968939758,31.094534260474983,29.35900903138162,33.16783486275296,32.16146481144852,29.190582902810434,31.822131475286685,35.51093894606998,30.88316417215606,28.515837596761966,31.822824537256828,32.388453886717286,27.74840190570627,28.747719474538314,25.820723540068386,28.23112226012432,28.23045720950096,30.12052879221608,28.77830528007338,25.682977318143468,25.187120713473497,23.336450934272555,24.205911139797536,23.93831697867824,28.215679668433186,31.680988807865525,34.95723299188672,36.92848466402004,40.91154448125096,41.54166974378406,38.40219188760852,34.31597694782341,35.124996456158435,30.45231653044922,28.46441439034677,32.34373568536773,26.489745290977485,28.224672166859772,31.799064739720926,31.34087722421417,30.559546002783385,30.15818127417699,33.649725002799215,34.386447449169516,32.2869095447058,36.22330801105698,39.32088871989927,41.4127242800572,43.04330470880788,37.70662078132757,41.680364449136874,44.443179298275,40.89290956622112,38.94897736943758,43.538071580547694,44.2103856824841,38.81103517996639,40.33768790110226,40.396640032334794,38.66981947773846,35.57036892603987,34.941453908464254,31.825518845970546,32.076256011030175,28.80197954297357,30.434824754104536,28.23619235690161,30.252741177759287,33.13133360682707,33.360855743587315,35.235219199617525,40.44376435567845,38.26642404166575,42.73900208854255,40.8426768276764,40.207420628464966,40.13910313681791,38.10272868006154,39.12113547723875,37.84768159696502,33.343040395157054,34.08196271181157,34.139160619901354,38.274451779363325,36.03597466651793,41.61576153123555,39.13189436237695,42.159586739906224,40.851273360390806,41.08540192678434,37.56340506166554,39.40455615614806,36.252844328612966,39.20652807429915,38.6445600468436,42.916835047534704,40.18121292605454,41.13339385618371,38.760824033177954,38.60514718149844,38.067591467040515,35.6557074654993,38.407206965306386,35.80525142677223,34.48611679486421,36.14057429475625,32.9766004921144,30.03417823636462,29.12662536407636,25.167523220862005,24.95052152710069,21.05626669237857,21.52022752325582,17.22529660941373,20.294693226133248,23.856848410526332,21.999011192902685,22.99768349457377,19.019763253292357,21.19850264828634,24.02510056175044,22.64149895967886,27.798840097315562,27.004336502176372,29.254848067914146,31.17356864630036,29.83337270460153,33.79681743157525,31.107665820718548,33.425240595672165,27.719699885226927,25.17122998887719,23.734145068382812,19.947268010169765,17.06054437635083,18.77425762441163,14.373417201836576,14.842958858168505,17.82449113077719,19.226459330725834,22.64071599025658,25.12213039505715,23.84591807534764,27.57130299802328,29.722096596020673,31.10333037957437,34.73781918838113,37.02451081775519,41.77722147554541,44.27492320209983,42.840413199224756,41.076659629427326,37.11952450768979,37.19715030985988,34.536540073545616,33.45402973485044,28.767836773699926,28.818463598807067,23.513187458805803,26.699299247188563,24.310965472842884,19.518360032682015,23.747926133124,22.536409827069473,22.879174834744774,19.821391063056538,22.600047802025845,21.6621834606657,25.958239759073578,29.023645710421338,31.433447628173926,35.10282979166513,34.483192638567,39.05636380983356,35.302623727645205,36.966222792205286,32.214876037632116,33.272008859255,34.174846849315486,34.20643367724177,30.751603109859772,31.28387989989641,29.586543197626977,31.832757265174802,27.25210026389614,30.229473398551352,29.668532224651585,30.287607259681305,29.757137306102415,29.537177298780957,31.47186277385439,32.87982305444484,30.314517717747762,34.04223936033362,34.26749809515506,35.10172403041152,39.30943083127395,39.912035482040345,36.10716429654994,37.00291686415744,41.29112735661318,39.15436738896889,35.41410623846937,40.05856202476212,43.84309045956984,39.396662533382944,40.070854038672145,44.036487354372035,42.95751008426717,40.03871058764858,43.383441375759226,41.20521287378563,46.60461356675671,42.55482075410901,43.08908171017442,47.20249804570577,49.63045636583799,54.26259195591451,53.71170874140579,54.8520865909355,51.70360315689134,52.92457949465727,49.78120773388057,51.89995520996279,51.549278191974345,45.46867856047386,46.57717894550896,48.61147040541457,44.93359071434398,42.007030672524856,42.74648939511488,42.76827283684481,39.83175059316361,36.26381300962516,37.52452243455596,39.04304850839562,42.8121964220539,44.936742551282556,46.94977116629779,51.16775334521828,47.9009814742409,44.32163652401315,48.817646109093566,49.35675547495678,44.41642010746031,44.848037316477836,48.66161867478486,47.599940600223796,44.90714952285849,49.37856163701731,51.05570853928835,47.72728159355988,48.45235000937985,51.9401275145138,49.64291712846386,51.011875288210156,48.47322289496489,50.979082309897514,50.978338467985004,45.32859214780686,46.39962769975114,48.02461117157663,45.64280795513759,41.94826660407503,46.43719207804966,46.12254993879658,40.804545902357454,40.469868635716956,44.86718758154621,43.55147000031994,39.7367991617087,36.574333322740316,38.49049558595211,35.79044255013388,39.82217587881737,35.90550511654723,36.50854137911518,35.07392712856361,32.75188284008655,31.465424119977396,31.52871547623191,29.93736944031335,33.19401745649427,30.653243398481834,31.76274521069143,29.0976799771954,33.70577023666668,36.60082405889612,40.15405848814812,38.89205083700981,34.83599622781619,38.79653567954911,40.248366606758765,35.4131953663212,36.05911682023847,40.67201120378842,42.21741769654815,41.97899598506128,44.43772079993735,46.397955728842106],[38.36735067340105,35.794564534795946,34.315247243143276,29.332306193243245,28.78666306096658,32.63203957763222,31.33981128008609,35.37144349258256,34.83363999106817,32.281329442864354,35.20219793654183,38.736172413777076,34.16425493944461,32.131300045929606,35.658531481335736,36.045492495052464,31.416065476506507,32.69578819828609,29.97816256723541,32.02514962229383,32.13956011294104,33.6735370787112,32.46319485769223,29.21747491565957,28.607320666002988,27.124821319574156,27.65788275926461,27.469075686036934,31.78126809435126,35.0643877658648,38.87030219654863,40.388077333350864,44.543585168898524,45.3148368878315,41.95113010812448,37.927801561641886,38.318666460323,33.64380608076254,31.32782045828403,34.726395939974275,29.02632376862584,31.42235320210929,34.80482829679631,33.86777263890994,32.81436301284226,31.856504440685367,35.36496201774392,36.55549600530405,34.11684709023112,37.599583683317604,41.14212389148163,43.091424914919834,45.062648889425994,40.037403350305986,44.08946184636257,46.940046631527686,43.497203676227315,41.84996806057072,46.53044717401156,47.09820640871435,41.979604823799896,43.89818823776999,44.14435132053509,42.538564274636606,39.183834734005295,38.602352395992185,35.92200785229641,36.19633595458511,33.1954169818053,34.8059910207696,32.75250383260386,34.91658496765219,37.666325594512266,37.85265796592605,39.51297861258943,44.69876910672471,42.22388309840125,46.646869723177694,44.48726453219415,43.57790414593496,43.23854439482167,40.805896726060645,41.65803770579458,39.980457948344906,35.49944433474297,36.75497587891814,37.22374784602266,41.41007217912768,39.60951549387824,45.3234705521008,43.10217143650973,46.34959407591786,45.022478781832795,45.11041454348324,41.496636763973974,43.45735075186888,40.18426274962465,42.839751614142344,42.002984172295434,45.968175966442054,43.2618851508122,43.65202274880814,41.37626020120993,40.65472663136648,39.64937421090986,37.043320341781914,39.299849337019964,36.309565514161825,34.99478315933734,37.17023112243401,34.107402969214384,31.63043249742265,31.204369133757385,27.39430413187981,27.950550161653517,24.090854949840686,25.015834579927347,21.053112468234456,24.474562197701804,27.90055636760654,26.112149566046096,26.80936333727494,22.564591199098665,24.231412974076182,26.575371012777282,24.532400605533976,29.053947576043402,28.192665061284856,30.00466763460759,31.96412664237768,29.77178879051512,33.6298026895633,30.956771700592206,33.907394548640305,28.05325604318365,26.038612217606797,23.703919478998035,20.721597458551585,18.44205763748735,20.735914059880706,16.961992033711706,17.58113623752763,21.006398840421216,22.123466798572846,25.445003521044864,28.106268638176946,26.677406533944158,30.353200046792402,32.09618400336038,33.58297686038139,36.82724064922575,39.44886392193559,44.04454341267845,46.712629161009424,45.6281055633433,43.7779468530185,39.91908266203182,39.5763071847351,37.259030626079216,35.50375374858224,30.71281055348602,31.35375403521199,25.692773479515754,28.834679160568033,25.69504162121882,20.400786245272876,24.028169660495223,22.164641325271077,22.14687005435012,19.671444917976338,22.73336804071224,22.68375777236647,27.215406079936656,30.601070462058054,33.41651996048446,37.14961910941261,37.06789682130552,41.38989606841717,37.45636377305871,38.757997963169764,33.67411331426367,34.60533087523458,34.93149436724672,34.65716142954525,31.407259718428392,32.43296444852661,31.328710299380603,33.01708232428106,28.21200872654313,30.726324164408695,29.692282413595436,30.41761159977067,29.332830609374398,29.037621448956646,30.783694216600917,31.795285006010808,29.386643611741018,33.15007492919243,33.332103053960175,34.799196626328516,38.68653691059751,39.83536517004239,36.14147986810942,36.44047719783387,40.869442223595826,39.1995454977985,35.031232028528734,39.485862559309346,43.73402270661572,39.47446300080748,39.775701028538386,43.77807758092184,43.1940702650004,40.07883593391931,43.01693894450043,40.56490090367643,45.92301135778675,41.16612676729648,41.99012067751703,46.17300452712475,48.2693863407012,53.0419932108797,52.213731102330485,53.62288330164495,50.548545803163734,51.87821317149822,49.0207310581628,50.78955345247936,50.161954052828584,44.27656125312642,45.465191167267875,46.99180006813847,43.22977787588991,40.56596001976531,41.161468527629474,40.67388180687902,37.8835508191541,34.68759980829231,36.27924232910716,38.377866790446745,42.05618730835681,44.36974827020436,46.75151746466248,51.073419084056766,48.17746963872155,44.33070093165381,48.81589254668282,49.790405448540426,44.92132762800419,45.006824855615776,49.04378796706001,48.23893273336727,45.2812786833664,49.485968864647845,51.43798946565439,48.25757179239965,48.500568757883045,51.83809681435752,49.29537544688004,50.60965577102626,48.13099916449875,50.29277981722866,50.17278486880425,44.661046586613566,45.51983801113866,46.79846416103392,44.4668312038109,40.751098429096736,44.84500215255422,44.32211505022786,39.18013904423981,38.697051225032496,42.722422506025325,41.31504129995758,37.62506087891739,34.79326800847958,36.136726747204484,33.72647724534647,38.056308766421964,34.612160274119056,35.55580389154198,34.74019246369371,32.026532987198216,30.486189164681832,29.9875422364983,28.574227158868492,32.07656159686847,30.2705444061495,31.440387296727963,29.437496977882937,34.085182821041236,37.32526699974027,40.92514577813863,40.188869715234894,35.88609623111253,39.64260318876612,41.58399544083887,37.02769834957924,37.19167643693317,41.968256681271136,43.88659787671286,43.88238859874203,46.39676156728993,48.258805319328935],[41.39440155713671,38.95661189507261,37.70669789632776,32.73309036454343,32.466951386929836,36.33823829322307,35.18656813777867,39.276867091223316,38.64481669229486,36.09671796745683,38.95143677465698,42.56720825331413,38.02615668876271,35.83941710505484,39.322171812170424,39.793963710264954,35.14522353101907,36.22279291939717,33.220827989299835,35.33190661120845,35.12032254499737,36.55509921430992,35.035393663006964,31.64495200807628,31.441145249302313,30.199029797329274,31.05183995932832,31.08528111136119,35.44113125999369,38.84638386505773,42.455369856283745,44.17517855264729,48.27023367429822,48.899620308966014,45.59516832585146,41.500198219852486,42.05442449862901,37.199507979457614,34.874256344793665,38.04445833190699,32.21879110207872,34.58414819736467,37.77459190384394,36.8531306442378,35.48105137036285,34.470151097657144,37.76015346204809,39.25832594576058,37.03509108013264,40.22084240266155,43.87176431951573,45.95602541533709,47.954269158247946,43.00494291226146,47.25597394095345,49.89978842053692,46.302530326575315,44.906005255302496,49.57429146881669,49.85338770614562,44.77043906101939,46.682636062264834,47.11407675749593,45.19238794794601,41.92031250343926,41.62861373447882,38.86246193024789,39.40890397443901,36.280858173760755,38.06295060865817,35.85651655634498,37.77876660594231,40.7089340052393,40.746189438022405,42.710046577307786,47.752321117095356,45.3821993565849,49.885447541076154,47.77909132412339,46.7971583132332,46.67485929859231,44.202522747842664,45.282689143338104,43.51980884208242,39.016318798431655,40.3707546929933,40.66921447881021,45.00118726059571,43.02535013119024,48.78598733990995,46.49520872472153,49.606463999580996,48.40590231272349,48.64517120806427,45.11348971515503,47.007126966952185,43.788367810775746,46.60408778609962,45.85497232145285,49.886728858249356,47.175552835144344,47.64079859963758,45.30918352289901,44.62818636583308,43.51997500541975,40.961639539957,43.127956514722065,40.05201710244318,38.770218754617275,41.05793240347396,38.005010055825295,35.60632227563075,35.183714032162364,31.390364522142125,31.868498001665145,27.999089766917983,28.788903324304318,24.6052137579457,27.750681194759668,31.39817590012625,29.60947400040719,30.459741368688263,26.288510756048968,28.075818149549665,30.4498128329019,28.49917170828486,32.93203656692391,32.12037675118922,33.85208144186504,35.779479614426556,33.38431067083336,37.148494345875406,34.410983296490876,37.540666291233215,31.691972550226197,29.878064412696848,27.375468096472865,24.604637753814906,22.41239812360817,24.68663507667714,20.78056797878471,21.0640607090589,24.56028571442814,25.90046784341932,29.08387507355424,31.882612599907915,30.56500065197699,34.29529184516162,36.085966307738914,37.566905138003854,40.8164907596436,43.39804184442005,48.0197881420427,50.61244789903183,49.544134183619754,47.74574963627774,43.88113223057698,43.5746073031426,41.222992509592835,39.48561719894653,34.645492781802254,35.19276889709701,29.518474028185725,32.48470879024009,29.20439302140557,23.907239478607618,27.352354016243453,25.100624538580277,25.239423514648355,23.118710645407887,26.283389489431304,26.457362495464437,30.912838688372513,34.35366404715798,37.20252497495498,40.992738745755304,40.9385006557056,45.193372918886666,41.156001639861174,42.46507108137302,37.28497143773122,38.404204371579524,38.48394164283387,38.0062984530475,34.824823700135134,35.704625499278585,34.627179927372296,35.970576856268515,30.925714600696903,33.49788986085765,32.421367573782284,33.421584105799845,32.301159045057915,32.17152442520755,33.92901006600369,34.840774696911076,32.62743794828471,36.4031496251604,36.58728939851006,38.31554822991557,42.04560602646513,43.400804985227744,39.74658238328578,39.78426684723159,44.2472702755003,42.718951737906366,38.33238167216046,42.69707631084636,47.12805318213078,42.83597605722168,42.93627150384725,46.94597457966473,46.51112145155271,43.20033554153233,45.95651411180047,43.452391458774756,48.81774243011812,43.75458710847722,44.847115774611616,49.054022312625236,51.04778301609831,55.853802267141845,54.95559495778225,56.561139996221506,53.56892220698114,54.977920500452406,52.280363527218654,53.86575686898614,53.08494149693568,47.33166134785753,48.56171388495357,49.78757503954448,45.99558717691679,43.50581365514949,43.9837714824861,43.18877133450484,40.523770722848845,37.57220407048844,39.35570958734925,41.71564345704905,45.33714293975733,47.73620754412127,50.26051246860754,54.61129740317974,51.8506524385684,47.92359836496869,52.376324821297636,53.49624476560832,48.65261103660044,48.59689518111839,52.673035164172354,51.917967073023924,48.85066665978165,52.96650956144506,54.969421016520954,51.76557169242224,51.85137253492554,55.15701728662804,52.549486389988985,53.91413603944046,51.51815108412465,53.53929041390587,53.29600180740431,47.85959262209681,48.6894767418767,49.7470148792323,47.40317760285765,43.75806133491615,47.631190547486625,46.90134752904566,41.88485066881349,41.40288722374582,45.1374658782061,43.588386859749214,39.99133824323169,37.3204555833995,38.20077059792956,35.86886055639252,40.358213574839404,37.16034740455668,38.43933342458429,37.83618668313193,34.82338573094098,33.33278972242479,32.59400683632184,31.43374099401626,35.131708419940644,33.685268208396785,34.9495246926992,33.161446216517085,37.72120675459252,41.09281891250142,44.671304188149506,44.05887179200578,39.66406997497047,43.29045854152355,45.33011205798425,40.822024399758305,40.760355385091195,45.55520781410739,47.49808272121452,47.580173094749625,50.09891848251122,51.96432796064311],[38.89393374780224,36.52668071967519,35.41608459439705,30.651224495118,30.594001082847843,34.76488620211513,34.007458988758486,38.2724690776717,37.87177493161368,35.73479526594085,38.79547027935428,42.326941457248374,38.011901908493854,35.9659164537517,39.76511250850962,40.227271657162454,35.69153930772913,37.228637471430424,34.68761060890194,36.74765719136435,36.94160870768744,38.438041903030744,37.23710566456182,33.945898540509646,33.355000530335374,31.914723355339877,32.32432844940881,32.00338733737244,36.255395314796374,39.36211833971597,43.31851496549157,44.64008274315841,48.85804461143548,49.82357738196209,46.424344918531055,42.47746965290509,42.67212396770747,38.160561798780286,35.76457757810166,39.03571606296247,33.4685783554225,36.084484784277315,39.420605658173116,38.30472283784477,37.15061031282963,35.92324165614361,39.41087299250129,40.83049450738186,38.21583887725133,41.439437172142114,45.21268987809391,47.05982144958723,49.21029009017738,44.35006828684495,48.3951569407599,51.313256411881575,47.9415621709361,46.39576378013456,51.09677674755876,51.6452299807578,46.6358665602869,48.651507820482216,48.92145699155535,47.335660096150534,43.95157734583542,43.368341816387876,40.72367667580425,40.92494163179376,37.87543303622716,39.33008192134109,37.24535889800557,39.34279307949909,42.21116795667498,42.54907037224709,44.190164455839984,49.44605320661582,46.98514804175755,51.379502154358335,49.185698092067604,48.24394790972722,47.75967500260516,45.20242220521202,45.864119655459014,44.04036604894584,39.61568884360421,41.051746255664675,41.753486227554056,45.86615986687803,44.255456129791746,49.945446424368946,47.7516048407989,51.02401656576033,49.58882870465157,49.551167539378774,45.80522945880647,47.67551295941937,44.24980834957102,46.938050442162755,45.89538681606896,49.63239857605357,47.21363741900218,47.24757131696512,45.25181820402626,44.1173388600885,43.01813165999716,40.1247497846748,42.01920604802149,38.777961566370095,37.2516364299592,39.785210797408375,36.61769717327761,34.66160638352059,34.3319754720141,30.801753163044136,31.740610282871042,27.99520813924161,29.28994763669972,25.575925471341364,29.158342226658853,32.41094269926659,30.45719835734966,30.88418864099742,26.48245538841576,27.819786724872756,29.763942458113874,27.608859852741876,31.50986063332598,30.91985881411139,32.502727118001445,34.730341227123745,31.860711268422236,35.710367089063666,33.27785613904919,36.663261311813265,30.763245130357912,29.001553523342622,25.910672200830046,23.591508992819513,21.733658572917786,24.483231937495244,21.16829025224666,22.0908705302911,25.58265358018533,26.45012090075082,29.843461185582267,32.415374555061454,30.78894644877727,34.28026107537932,35.7220085793183,37.00965030629552,39.968134080056636,42.602799155181245,47.163052079252175,49.68397926587417,48.948498551047926,47.24627514716169,43.522656266160624,43.023139667164884,41.053029583026664,38.978229788023,34.328242207834485,35.42658961863144,29.677985442269822,32.919111978482846,29.468887497063257,23.95995097481617,27.119414958374406,24.925051676138438,24.453432666819207,22.413948226969673,25.525781208468583,26.027477429240033,30.735917378042146,34.24306926365699,37.25461137086483,40.923869208140125,41.078453884911475,45.346711650019294,41.4404336351995,42.50461690946278,37.322684641906946,37.94599129917542,38.04903414426151,37.66490275202633,34.60262733355731,36.06884981207146,35.34097429758546,36.75471738554176,31.891604716751726,34.055349838659005,32.678244496751255,33.3876428297549,31.83157623053115,31.35126278704251,32.80556504161216,33.331386330997375,30.89390574408079,34.51289103433816,34.39180389559535,36.36104215111383,39.810654114576366,41.35803475689013,37.723938114849034,37.37274571027165,41.847445483732535,40.46251383725134,35.79867472383756,40.04998667898678,44.67646731990481,40.3863999503992,40.25712298689222,44.25926991444071,44.04805283770672,40.591857689324634,43.12460118918741,40.54029100749914,45.87795155220193,40.586614317995746,41.8672254591343,46.08293173479018,48.0381858920817,52.84589884026571,51.979408521539206,53.771260339248514,50.90405090761219,52.48160687690438,49.9883645196303,51.55188636996277,50.5269766589322,44.84098840938848,46.29809002299996,47.35323086842561,43.41587786767295,41.12357886204045,41.76879600792968,40.632348925779844,37.860512619713106,35.35511113399013,36.96251991635026,39.78458215930212,43.32770149914494,45.596944984207624,48.35985877533942,52.649842740529145,50.12661835530968,46.00909357686819,50.28011705583531,51.63146620702189,46.823393407558505,46.46522785285988,50.570507268103114,49.900020748580076,46.648460094252755,50.61902316167516,52.69817140372063,49.508080221396646,49.347574259050816,52.59586290539934,49.9181842624068,51.36215142464233,49.11230982731634,51.02350685463955,50.57626617360304,45.21020681439775,46.1128977368526,46.93806392996643,44.53391229191022,41.02660682997578,44.81131555252847,43.83783447971004,38.88206204365123,38.546420475283234,42.11517229478678,40.378057276870294,36.80352433037618,34.16219638133535,34.81778350854191,32.487159848927234,37.040580051289176,34.00685574115659,35.50312165350928,35.142798805525445,31.913977099580247,30.40462033140627,29.479871827608257,28.530946375294977,32.412486984659004,31.349959555845896,32.85401187079908,31.364331366621705,35.67723499030786,39.30063142654406,42.81325060097026,42.54260189383043,37.93653235843541,41.30808055056378,43.617215902380025,39.32576415480673,38.84358772690712,43.69073565492597,45.83769852548694,46.11893340043969,48.67249538281906,50.47909706774187],[39.34583967991757,37.25248978290017,36.65487295956019,31.755633514648835,32.459785728869754,36.30154449970018,35.86688137910078,40.27971366932756,39.584735971856574,37.63084555997822,40.61349211210267,44.309767859990735,40.30782740388012,37.903248785824935,41.88458789081694,42.63629638477364,38.213903640895346,39.84301608384312,37.33759611586205,39.745855970958935,39.91622293147168,41.67654928072191,40.334153267678396,37.086561363138436,36.65454574348631,34.97039870209628,35.53213655138255,34.98557288458805,39.14665162562397,42.198679056063604,45.85239580015096,47.35360559745579,51.49272677235972,52.587867546001874,49.35892304589461,45.443471490861086,45.778488226083965,41.454157366473574,39.230259559415565,42.791242086888495,37.175656279578334,39.51741741441506,42.974688097571665,42.054689603210285,40.97732205994283,39.896604554149356,43.36586718324431,44.700911673602484,42.16688522713219,45.4993114637513,49.19458523430512,51.07548371312851,53.15104979841105,48.17789103706782,52.18545633640231,55.11085257656086,51.69217944059904,50.009754160747704,54.67852750932816,55.27762660021979,50.120203328182676,51.901366696381324,52.04204283060885,50.32851062350792,47.14843186920264,46.54446048154367,43.52979755030564,43.63091586889622,40.25296794706428,41.512875693557994,39.242944066872816,41.07149598117485,44.238448989204095,44.82323524561553,46.66709338426329,52.02725967873659,49.8882304831016,54.302545672223715,52.321700097189165,51.593448983527985,51.18987835812862,48.82962031692335,49.41679704797459,47.770878501720226,43.351656402988056,44.560040553936524,45.178543795342584,49.17399019565621,47.38379878805029,52.92688681194074,50.50407221088084,53.582093400042666,52.02059059648475,51.95897824061371,48.11877261366033,49.7284429691661,46.20548932856955,49.25617244029283,48.19564150634865,51.9263955298435,49.89212248263862,49.9944956985034,48.28583364656945,47.139780616350635,46.37184049004163,43.254718819682324,45.175520322332176,41.95594911999544,40.11483947544352,42.629779665989744,39.174539064231084,37.450420178849846,36.76903458160663,33.447085389502455,34.19489689115184,30.547516026536993,31.948425623040126,28.26773838725293,31.764613744543226,34.90689786295154,32.66369439954553,32.98181299640603,28.589707811458023,29.92816553392256,31.771181362937536,30.07173268842805,33.793595076183436,33.64612937805012,35.38494219279983,37.967976226654464,35.01023018819229,39.01776864354018,36.84461793008283,40.21974702141438,34.304593523645174,32.319628927995524,29.053871920181372,26.734038549184717,24.796578731548653,27.69549358711506,24.33229294872299,25.5275530330532,28.83966339956486,29.647039118893243,33.25023568088355,35.58937430059832,33.8269527515008,37.14960104094245,38.58000996609084,39.49397215797315,42.46165693897677,44.78007748101172,49.4778131109276,51.597809873386225,51.00756672767273,49.61591778389013,45.973175843265714,45.6787129611416,43.842896719756524,41.97524298280148,37.567530668716174,38.72866334838076,33.10957268969002,36.55670408139186,33.31813947195996,27.833102039700034,31.073957140662753,29.00318537640339,28.342367197822735,26.198971654374507,29.223521427607917,29.604661425293433,34.425504597189324,37.854654188032825,40.78101835581065,44.345991157994874,44.30057037601216,48.768900221000315,45.036476511064386,46.14596378961712,41.09171538502347,41.45255654973951,41.81985938562872,41.579220029895104,38.50747070637712,40.07228242879168,39.25553497117775,40.83898943902582,36.00377598148297,38.21871677769942,36.84344671799495,37.47084122169397,35.841252785675856,35.20672871807347,36.51533291888998,36.83433839926597,34.16010403707031,37.60573309474975,37.11455777433346,39.1127250740422,42.33383689894911,43.85717837421249,40.14856735820574,39.52241318493987,43.9422705521909,42.429556529961594,37.47269097188957,41.68171114364395,46.36975908909175,41.77611316040229,41.42368114285894,45.40911983838391,45.181952613825416,41.395835165061904,43.801677437121675,41.33289535632296,46.72491781231297,41.44699497563178,43.09267362281765,47.29833288586886,49.45685786819544,54.16163671126959,53.57922118825855,55.64193899735762,52.988115779047604,54.81684199466924,52.51788145307335,54.19192787918889,52.897847790884796,47.245071282062554,49.00936005585784,49.972888384629556,45.855351847929185,43.778155111061416,44.6653464485048,43.18251746113833,40.24593534172583,38.26180059607812,39.53398348296052,42.754397532869454,46.24227593607407,48.25521066591887,51.17555820303449,55.330427516873286,52.92020288999693,48.677615907561155,52.67516489031877,54.09924407184448,49.27055020646424,48.64200272283666,52.61806160608839,51.85097156283241,48.43752789090126,52.38592089703837,54.3459522386215,50.946964073676625,50.73165605661447,54.038564127876356,51.43410646493858,53.15326120557765,51.16976412514596,53.11835664618566,52.3107421336156,46.97150258338859,48.20046342398722,48.758187950662666,46.167583920722656,42.98068572941422,46.80028634634746,45.390502715706106,40.47393663757783,40.54069016042146,43.900284950122945,41.76281062998457,38.19172454659684,35.40222084368566,35.73284278478868,33.12402061566678,37.67173166385191,34.65219934498039,36.60549172426258,36.18636661646363,32.59513432542037,31.43949863804422,30.558466883925647,30.083182996966915,34.27991742236199,33.43407891315249,35.37146775725609,33.86300666142194,37.70582442241999,41.54812435566082,44.90960074324755,44.74728049124174,39.921852928663164,42.969730627013625,45.300531572115865,41.06971374020436,40.130272456258815,44.93253393796166,47.01514101760289,47.47677694426943,50.03365753119771,51.87512938553734],[36.236371656994464,34.34223535641952,34.15450655375913,29.127959172617217,30.52276173327692,33.975201884102475,33.87348634442098,38.40331273825168,37.50265331998299,35.86212365044026,38.82770745975547,42.589968343260175,39.00098324407838,36.38004666372306,40.63117065364813,41.623548952349715,37.4220008773198,39.39912940524892,37.29771296668443,39.986897184162,40.4764386990703,42.590440648976006,41.42371940716106,38.385297879508286,37.72989975690211,35.58570520285859,35.958497596856404,34.924574124178775,38.865310014385095,41.65552102548754,45.175557968854726,46.607565165188184,50.701627276638696,52.119604788065814,49.033170187829704,45.27780089128867,45.55498595460512,41.69926070032844,39.68311319088585,43.72189700621812,38.26457545734274,40.35969402794053,44.09255546257364,43.340898598048554,42.65048449085868,41.73842225944354,45.37846875974487,46.348331061086064,43.67550583544364,47.35752427047385,50.876314272132134,52.63237239303358,54.61552201460493,49.49634171640235,53.23415744368078,56.375923601515595,53.09469307618092,51.03677245831853,55.656690192000084,56.60334953495581,51.299247445406266,52.84378363354035,52.657473233511794,51.15350558686189,48.1195630601407,47.2007591178216,43.914783878390374,43.61134074279757,40.03855262163693,40.85922362824973,38.5686928273019,40.329861340797905,43.62207506180434,44.65858587330834,46.377991325843624,51.9754871078136,50.088908808978495,54.403456112595585,52.60332413075939,52.17923650723101,51.61598228645457,49.50576772635507,49.73844131364699,48.36416214356439,44.02202489113694,44.90189489663416,45.641176709966835,49.31040471084682,47.557531003295544,52.843517605513966,50.26897377260695,53.26386214598981,51.41978153112409,51.1454376768078,47.11643216579467,48.4802892951818,44.78555375305876,48.048871573017756,46.84094827985616,50.422649100235915,48.89337624339416,48.9266494783097,47.663331966823506,46.3980684387997,46.10178266588754,42.661077243520715,44.634543232575666,41.51553506020462,39.26060107202154,41.6724513857422,37.88369830243357,36.455121066285706,35.389742141255525,32.39329028610527,33.07690244140827,29.644599395643198,31.366093334803075,28.08618402538747,31.730949423820565,34.42945320971615,31.865176838358295,31.828630714297674,27.41491224246477,28.51521269220908,30.081370888272556,28.817992113613567,32.245037658636505,32.61619819442074,34.558627752132715,37.601218978134895,34.67546327598047,38.92506385588939,37.16258416550312,40.37728670839934,34.49393621518498,32.12529406328053,28.741129502158504,26.379384281114664,24.41034775289006,27.52901536670814,24.450784199093427,26.2948591846492,29.273998081372568,29.720829985762666,33.630659038932386,35.51875503439044,33.47919853584262,36.46372273383718,37.750505235288124,38.19403736512205,41.08304051327333,43.06521698022925,47.85467327971594,49.563092262686865,49.18501914822625,48.12390010751216,44.6315913205379,44.50449518847191,42.93868097607505,41.24503645750126,37.2394946367285,38.64108333285449,33.24737085066093,37.06053484592466,34.17838869696952,28.774303294407073,32.13499026079669,30.535366645132264,29.460133928195454,26.97377752450941,29.75992107595481,29.887471710015873,34.86286060870637,38.12679574075913,40.92580136709222,44.26732517889055,44.014507201780425,48.723201907861316,45.32834779764719,46.430045556018825,41.644946210948206,41.4673345607479,42.34104668598297,42.450116923431885,39.35500248549403,41.2280084555452,40.36052222371651,42.40527601765715,37.85956430667631,40.003150509759216,38.62897370248852,38.89468291583575,37.16677856022512,36.180368213041895,37.2673410465891,37.395699297768566,34.26821007461958,37.46293721237404,36.51067787050481,38.31379508058094,41.36988130512531,42.68265528184381,38.87035562852182,38.127364460812785,42.4364177634256,40.656829833687944,35.54873260428975,39.776197388008875,44.365843956450185,39.454877607177906,39.01402427241721,42.970305300760145,42.59730740421864,38.60264684763434,41.02450806374595,38.7377106960866,44.189579217535716,39.232557902143064,41.039834275997,45.21001147181714,47.712019866780196,52.262267246608005,52.08393433571235,54.266154989680786,51.78674365359473,53.83512247670006,51.62158307475711,53.600053341630776,52.135558516426045,46.40303694912471,48.4953310018856,49.639191471723116,45.34240977485135,43.35779192166851,44.64933632218385,43.05975394892566,39.80379479259618,38.21824993920932,38.89586278969037,42.35878128861577,45.81436437791456,47.428717970899996,50.407255546544654,54.35910742163969,51.983212493938375,47.66755218178878,51.34695804569269,52.73644620911473,47.88115162362656,47.04026967006309,50.82072720546549,49.90556876291459,46.396785342666455,50.382250160811914,52.15904682282708,48.547639923259844,48.397853878629896,51.79683122005443,49.33885819320446,51.33274658583144,49.59302385591766,51.71180172545614,50.59519377428921,45.22290787566769,46.866501021185314,47.31892181119098,44.52090553070713,41.65180042354885,45.72694219817918,44.011416154566945,39.01332123860262,39.56179999672545,42.96946352104871,40.508868677801956,36.84109716112309,33.70358392195967,34.14231374393807,31.10748950809781,35.47904938864665,32.21065054895923,34.379725780266135,33.69427664718271,29.945630497462968,29.16844108466481,28.57793443901463,28.433180716938317,32.82047144385799,31.929131970081777,34.310882759521355,32.63824361616684,35.94242410504633,39.935448698674556,43.11399225197917,43.01388416599416,38.010754878085386,40.747791648629175,43.04209889408468,38.89198215597429,37.56256389778785,42.28877415528149,44.29936907865426,44.918196898694546,47.475587427465285,49.34055926455928],[38.47358453479709,36.76994503325472,36.814783198008996,32.12916152430001,33.694400827923815,37.40690271191318,37.610180923908835,42.2047378172815,41.46793556393952,40.0476545659817,43.07832805833213,46.78652339209775,43.28191953142465,40.739434427491716,45.052651518955365,46.01758356444015,41.828455999883744,43.845913270129614,41.7220678598373,44.3237593507918,44.75465826392169,46.733357508958555,45.50912171347496,42.36641155630135,41.79534785820988,39.83051454545571,40.19617447177392,39.25377495157447,43.22414685220901,45.980116889440836,49.62592274519898,50.94900683663852,55.085063483856544,56.534448952303485,53.388258780109226,49.637219485162014,49.80695946948243,45.909141124733715,43.775998209531096,47.58405103558384,42.147269275780566,44.45964097475818,48.08129809729785,47.166446772741686,46.28754233503773,45.16060376008165,48.737120301366424,49.965721260055496,47.227666561087695,50.64136955130353,54.36237460657276,56.093901163446134,58.22317825240552,53.243591681162094,57.066728850373856,60.18679968997778,56.90260142981724,55.02341401170445,59.6765145287292,60.50394165800247,55.30373659016422,56.98090189572247,56.9117975951433,55.3493984617843,52.2519785464686,51.433736249740804,48.25347753191665,48.03557388209238,44.498292180453134,45.3594153308847,43.063299430626174,44.78881693528887,48.11024792758359,49.10008029549249,50.84946124806986,56.41465870180784,54.4641339527378,58.79185493989302,56.91695875209198,56.38025185649328,55.77418729231453,53.50614668092767,53.72515983790291,52.17419864423915,47.84587378359718,48.94258088251095,49.78987051380436,53.513488527428905,51.87032390981358,57.21803166214852,54.70639780622162,57.735933554323104,55.90709528018312,55.61431229407499,51.56510479996273,52.93093799970106,49.201733870561675,52.4143482793371,51.115054065891194,54.56027631623217,53.09910495369689,52.90627051768649,51.714562433277294,50.20719535850434,49.71315091104295,46.189361898399156,47.87896765382584,44.58131037285432,42.31322368806399,44.98265368540036,41.25423408717745,40.12220905973661,39.247835401564686,36.374601037160886,37.31548007347369,33.9185079218879,35.73613191046034,32.46913990205294,36.148231850149614,38.89099657375757,36.35259634288498,36.270788117686585,31.822578549193736,32.784247830789134,34.15511789321697,32.70505272294875,35.73899640487834,36.13988022470875,37.837058598617,40.89222146861428,37.53317285737295,41.6516293434832,39.962331305419895,43.485096163974816,37.617420447407476,35.55533475125919,31.776959281108933,29.895415397987293,28.214041341273845,31.476200153512423,28.57449243291011,30.319196266030705,33.45334827591211,33.893394509888964,37.726563006181046,39.7138655218874,37.65700435341632,40.62186074013589,41.7508593594955,42.19990933384344,44.887104442806375,46.95164687201411,51.65088852902272,53.34106857629217,53.167589775485155,52.13380096420565,48.7182013067699,48.43632774466844,47.03899520656136,45.0896132481385,41.080553430387766,42.68835607164315,37.184281081682165,40.9245264863753,37.74610987891983,32.21372752490029,35.24659594484886,33.31751765282252,32.11673247771921,30.030551550849335,32.88356151511943,33.41857073969255,38.41417103727797,41.79104019134645,44.74356964021138,48.101698520154784,48.06768788577281,52.65677742299451,49.18392079233767,50.130519741566374,45.21272481478638,45.00029339034245,45.57142001439734,45.504084811078116,42.55303114951732,44.60180009285912,43.982717817449654,45.71198223453555,41.04208803627888,42.9941863390685,41.41459786803371,41.77639611707832,39.792359102760834,38.79822660269189,39.74131706148362,39.58233993680165,36.60598991846405,39.703787946447164,38.65448094909486,40.85501761210016,43.56512748967882,45.22164559148733,41.536948926426334,40.3235144310534,44.62060284012546,43.1595446072668,37.77820480641848,41.74535350696908,46.59870533104225,41.80795978236002,41.02522736234767,44.91602342424465,44.89919350977562,40.71969593781125,42.72943241974258,40.3354723426228,45.66091374363208,40.24148129796845,42.41070150231882,46.54676655425134,48.823072007584955,53.37433808812687,53.09144051746126,55.566699240730486,53.259732710803036,55.45161033863862,53.545625834708495,55.26616208717478,53.52022020745124,48.04406288126037,50.257099624150754,50.95750582587696,46.6099860841943,44.943730905688945,46.16485853145879,44.087849105408374,40.973819369495985,39.89274992931667,40.706920293825036,44.62290805842959,47.937833302076974,49.592972652428855,52.82793280811248,56.76784188600591,54.6963117670067,50.22877821816799,53.77562878206909,55.46055367451295,50.70517230030048,49.572722057348344,53.410910822775946,52.64675033972898,48.96122222101687,52.69785794055674,54.59984328618475,51.065058486926795,50.5621846339362,53.826060146259,51.251602294127316,53.27827185357949,51.700181642333,53.54858712881905,52.22714514194531,47.058031304535234,48.63011135651812,48.708130782554484,45.92757729381579,43.22414700628472,46.915087013710426,44.881346903440395,40.15866044334189,40.73545963293627,43.66352293584419,40.99985808152021,37.534930804105684,34.71066094712689,34.45961453805142,31.648025053737197,36.145809881425905,33.40102870789797,35.98855901782435,35.77145850015748,31.700927086786695,30.91611963725961,29.911907708364332,30.130260672544296,34.66087266599873,34.40504464256971,36.87926366852227,35.65800223067038,38.786710665768965,42.967393166217896,46.07949358605345,46.3204938498589,41.202938795125625,43.67192822016008,46.2289476711957,42.32315525359308,40.60940633344325,45.32639698514675,47.510438344184145,48.313247472877016,50.86950594944628,52.66396176624735],[39.36259102160255,37.34448029030302,36.80186747366862,32.367626883286974,33.040102359132916,37.37436985699625,37.29263037927595,41.78267671808701,41.47408161534125,39.87215338575267,43.04710617011902,46.57165443019647,42.65972706676889,40.55130037330337,44.678039824287175,45.28291419029844,40.91230525304999,42.79310557868727,40.53182867243688,42.69202910869009,43.05310484225714,44.625737190374245,43.48011575455818,40.202019932166806,39.564901682168944,38.018982668959936,38.26695776830007,37.68336415895909,41.81366394592803,44.670893414881945,48.7304434379679,49.835003204878724,54.09691078534779,55.35594693081213,51.96505423742137,48.1419524099854,48.126759019660746,43.91682113216618,41.50878547638399,44.80346950692272,39.41259368195133,42.154694261671686,45.535996082192746,44.30235590684927,43.171240665577194,41.74437421918014,45.254326856332476,46.78124560725969,43.958683572751404,47.02644996312478,50.96559480855435,52.66770523825555,54.970222943246156,50.23497718501165,54.18833315626892,57.238051489438156,53.97952967520039,52.42037459438431,57.13065665578452,57.76366130824106,52.81294591436899,54.853546087286446,55.049343092662724,53.53977351949281,50.168407163943264,49.48969609228084,46.79024384525393,46.80254648257524,43.643876827459955,44.82216178528893,42.7008475772317,44.71213248723146,47.732334368477765,48.34964691584384,49.9399995881081,55.340470893450245,52.96822364144256,57.309107955188956,55.13474228870487,54.252886896018346,53.57603876891556,50.97196907234111,51.333302517824556,49.44975120513163,45.11409159557454,46.62404431968573,47.58863808877399,51.52889965220218,50.11616867742096,55.707944100137524,53.494124723994,56.76759883916479,55.138803165096576,54.911234115664,50.97944899259296,52.68273403448,49.06025402546934,51.836377861238354,50.54171683024511,53.98284440603092,52.02159958282002,51.66260683856681,50.09911155983477,48.50460304500072,47.45558706412901,44.18371393556138,45.693117469446385,42.244771853106506,40.38244245740098,43.24129537570546,39.89995071475627,38.5995612321407,38.261015373116315,35.14178418134045,36.42348513460697,32.87389989989783,34.58757631662465,31.211393359878024,34.9727575888264,37.94637205103022,35.75342815445651,35.83145411630262,31.30998929760942,32.265981976804916,33.72480038147005,31.613189753430152,34.73760646718026,34.58695325911597,35.96809021081497,38.583745761396784,35.05564229465628,38.90756700320961,36.89995831293341,40.64654568759976,34.7850101393818,33.183905135630155,29.36420430546428,27.736794474867658,26.289665519699085,29.464540756486464,26.647634200771936,27.99609133977796,31.441652796490498,31.99257159426454,35.53481380187214,37.887086108452934,36.00174613292043,39.20379141104487,40.300091932781534,41.24130048233624,43.857068432880794,46.3882868700819,50.90538851276251,53.12945403298204,52.84053748885426,51.40171862416635,47.88281756848152,47.27106122369674,45.7487633746004,43.411050265200146,39.05459144888694,40.663667226469606,34.92468179638053,38.354854783109516,34.743460163086574,29.12047712530564,31.845508962020116,29.529444469975115,28.49889892306066,26.815675847210688,29.828759109004032,30.76141183541439,35.63123160300709,39.17829319913195,42.32645186785824,45.84777105318893,46.17657108578104,50.45158286273806,46.68685676281575,47.50476576688615,42.332459608838924,42.47569978789672,42.50721005770734,42.12393827094141,39.273093663327565,41.26211513406582,40.88566990101397,42.17238061842841,37.375107607247806,39.161990851494835,37.46330469491222,38.02946434270866,35.986195749092936,35.20806070286196,36.25831432239995,36.18484974435427,33.62274803770167,36.92245886862824,36.31342356188934,38.755779740365945,41.59724886813528,43.51780882177485,39.97367986747504,38.84458317455158,43.265909292067015,42.15547882210893,36.94875081062587,40.88276615268012,45.86374303028642,41.50804873239732,40.83875480113772,44.76865101854937,44.96911669729609,41.09657227587888,43.09369576303582,40.439989352994985,45.685444646212815,39.89295685998286,41.78060848573445,45.96351950931826,47.820838693907675,52.56938670136781,51.791161017593595,54.080637755902494,51.55225272792176,53.48516912219375,51.48215986378357,52.87987256936307,51.328782059089534,45.929171246813844,47.79291148601874,48.325203383671244,44.168484879635166,42.39158248849392,43.21847803399865,41.274958148800394,38.472822530604134,36.97963321967009,38.38270539602947,42.07506960128,45.40376142949824,47.46851979193911,50.66324028149856,54.81420131106315,52.75282144672203,48.34214805318731,52.224032823370955,53.99053570998176,49.28793712511855,48.35826216197579,52.44204644831263,51.89051206102615,48.302100637577354,51.96409475250447,54.11949961623918,50.88756450404343,50.26582372149675,53.39901786344529,50.62967027953509,52.29825610062012,50.42135074751247,52.063246572737555,51.12735319656722,45.99402689484717,47.065398262868484,47.29224999584101,44.76649352635532,41.66807661671117,45.09334154745605,43.47000699971649,38.809029744455266,38.815670126263086,41.759105618136054,39.520704421549766,36.13590597383022,33.69253769553588,33.46188220763043,31.16516152958063,35.85455197473964,33.35376706497659,35.576719146841675,35.70794207000327,31.88588312047368,30.565189586763246,29.218349532564982,28.9814836416722,33.26569615101246,33.088626883410186,35.06929410841929,34.1262863857214,37.82926892341208,41.868173598206006,45.18402429496775,45.45572769083462,40.52084245599501,43.32250542668644,46.00978444383949,42.08847308473861,40.78167815755253,45.618412751846705,47.98270340825577,48.630452398977816,51.200944918913386,52.934763309919596],[33.94417023760065,31.788054648734498,31.09782728313955,26.635333883720758,27.252859337978727,31.615718172160996,31.612982548464245,36.13089163631217,35.96135724626993,34.584858711116254,37.877585046133156,41.2816484847118,37.534482660718,35.60194531646197,39.90362951625353,40.46773216402532,36.25360124350132,38.53894374081295,36.81436978400887,38.935872849452544,39.78826007824679,41.53788959994749,40.816881570678646,37.78388719830916,36.63546402537358,34.726479013035934,34.50149213501084,33.48514055540447,37.42198020603565,39.96590435873407,44.25727483449743,45.01315599150639,49.33064406955006,50.893862155385726,47.47591811649638,43.839610661383155,43.54375183655333,39.77624291457646,37.44214082275319,41.073825875309375,35.98381473345216,38.717447922506516,42.34844637420226,41.112044500112795,40.453423879439136,39.0917553287303,42.87135057411438,43.96744482945578,40.83659748793638,44.28030858187256,48.057586634554646,49.52954260958456,51.792268112422896,46.99183190107283,50.59543066175217,53.954153908915174,50.956723100809064,49.02513554908462,53.706702029849936,54.77795658362982,49.801421383977164,51.79602112302296,51.688141077465225,50.63234684255822,47.2149531626566,46.1128887307715,43.489799506590316,43.05292243462854,40.03146001198287,40.840148226120604,38.92465053614376,41.18967545199269,44.00952626765447,44.94502114514909,46.10514721268231,51.71420983658606,49.28844900474052,53.46473859540276,51.2733064843219,50.555576015222165,49.53788733411723,47.039388775731574,46.965192468918296,45.242782027323464,41.01042550094476,42.339654206586026,43.60435218212427,47.22078400817359,46.10206490115604,51.51988570798349,49.38384132065567,52.795560372939846,50.925610840004495,50.42220138942609,46.331957885588956,48.03378749411609,44.28144297509197,46.87906503853517,45.37868187905107,48.610576228909146,46.8671937567871,46.28703112529831,45.00045618437547,43.20700970501127,42.40150840790697,38.901723746780796,40.43892654675479,37.064098869793355,34.964707979595644,37.755296372051404,34.269573465254226,33.128581827579595,32.72055228009449,29.79511999381501,31.309263719547072,27.92655520269162,30.01959900777708,27.192737068319047,31.303271701755317,33.78335420765017,31.49556698469456,31.190505900526247,26.57938925657371,27.15123835181306,28.30831125119602,26.140005286340422,29.035922273268728,29.067988319393997,30.53288743161232,33.42263208002802,29.958541590485517,34.02415199061241,32.30869035959899,35.8837541334268,30.034504816033788,28.140014278577443,24.22661508438424,22.58982849699495,21.248599435150318,24.66301424299602,22.391977380533053,24.412645404041722,27.601457203831703,27.66856727569883,31.4175458405512,33.4025637011679,31.25760925708778,34.186006326845515,35.06047956449534,35.81084527297809,38.287856666604185,40.79105339128698,45.27401210328805,47.463751523925175,47.30328606630076,45.915769111923076,42.49686497234458,41.82915697152224,40.54107318228399,38.13473037794286,34.03605992184156,35.97424866845062,30.366779510329604,34.10747591474872,30.731658953765507,25.16485984236999,27.94786817408507,26.202400538222765,24.69190732515673,22.601649300194076,25.378426949586522,26.13530708530932,31.152855816517857,34.578763984141,37.6772474835383,41.011756581573174,41.317136413037716,45.69484060042403,42.1938296892923,42.92728378356436,37.97084001185733,37.6172044755714,38.0596387512144,38.02125244357013,35.14514554320845,37.51719008179835,37.19642363274766,38.959089776274595,34.57000884024452,36.16876486186248,34.456158198092595,34.55777508943205,32.42193157180442,31.26490750292332,32.1426298009924,32.01041900076552,29.001818606633083,32.17924100448987,31.325016808720672,33.498967171694204,36.41862604961409,38.10307543734228,34.46207338349899,33.47805956625322,37.88227060184004,36.557436387273384,31.421929335586388,35.49980873285572,40.341164284167625,35.896488568231845,35.38143369884367,39.34856932807244,39.38785973617277,35.62358696584578,37.82995588458232,35.2235770995518,40.54934627673909,35.10165292311826,36.74526635106458,40.952805219546775,43.05054478655413,47.769307955371396,47.18419492342128,49.30422568210642,46.71864692756642,48.659207215351834,46.50845624385008,48.22384547405938,46.76072645292923,41.13693210226956,43.10960886594949,44.040467311843464,39.80210114991544,37.857354209249856,38.9966198236547,37.32118746421398,34.202049894847285,32.6148452767003,33.56698893145825,37.17672746685735,40.56410875918437,42.391514924555146,45.507220525609085,49.5707874731072,47.40691148485376,43.00486541005782,46.81411725643572,48.46271499478712,43.71251972695429,42.807595031270644,46.82697262813103,46.19708477819401,42.64429859709719,46.414597009544536,48.49645859136762,45.22293638617472,44.74530205166101,47.95516233295112,45.26269084759007,46.97014503045018,45.071416705564395,46.92248978187652,46.009968144968376,40.734044856629964,41.9827436527517,42.414641175818424,39.804781219145895,36.69248852365906,40.49937478976133,38.99447805358851,34.07990501003177,34.25829138993486,37.613857653081965,35.40673906416834,31.80252657646037,28.987142904457027,29.383286476616977,26.79131323826241,31.34624700680463,28.41142441987655,30.352801948464524,30.217657949899593,26.584790102084856,25.247629819185054,24.19744224069417,23.78172616722588,28.0480155177699,27.545538181104224,29.661672292463546,28.529235153477654,32.120593279679426,36.1655276818221,39.456031048504286,39.70953364522123,34.74238856244494,37.551083303655425,40.216467796662364,36.31351959221063,35.02550039321631,39.876099239343255,42.27073305006524,42.911553324999645,45.5005999000409,47.21973645774899],[33.92505072812924,32.192177274331556,32.215211036527485,27.864899752206597,29.44515087021152,33.46594463648939,34.00821899074304,38.65716037959124,38.288181647094774,37.305476189297174,40.542011090318525,44.024907210642716,40.73634464400079,38.53472689035189,43.06453353180609,43.89858821016356,39.88437144990037,42.36653497590143,40.8125528128775,43.21484210714538,44.13519527037707,46.116323868549465,45.33982904843648,42.35977852291864,41.28136804108679,39.14331577110154,38.95948391160269,37.675353623012484,41.46040614401938,43.83643584158538,47.91261606937658,48.69820287738775,52.94494444326954,54.736791038567,51.47115557873114,47.93683010781945,47.66210768571037,44.19403091251045,42.00928166270658,45.88420604787426,40.838154453648364,43.38872438423925,47.137667739016344,46.01878560696793,45.46023796691352,44.16077365078559,47.95337618572117,48.980382715964886,45.833613573651895,49.34562739112027,53.092569257700795,54.52782983186782,56.770503999655894,51.917935080966075,55.42710386487381,58.85606321603004,55.88379523953005,53.80774395222229,58.45820156720938,59.63934449102458,54.56526489574162,56.38206890650044,56.120499111413935,55.03976504622604,51.778231980491995,50.593057767974415,47.68400005239511,47.071133335430495,43.79278139158567,44.32169273729836,42.2876322381835,44.33230162337399,47.39087110296559,48.63727323105774,49.8845748411255,55.6246583623951,53.47802703074281,57.62388469845082,55.60950108902768,55.096120050584474,54.05180447247303,51.71271834636832,51.448874712696416,49.874913444098496,45.70167113674103,46.84849158110432,48.14485132832087,51.57273514089696,50.40548440231187,55.638795520306715,53.33216980899913,56.59473305714623,54.539192795730145,53.922178073160836,49.699498077839614,51.12432762388921,47.236783741514046,50.11511437960189,48.50005967411312,51.569652238230894,50.34433143310296,49.66795677883792,48.80525997497207,46.84802860258985,46.3709057387994,42.578142786858535,43.99957756622794,40.63247569423393,38.158727402398675,40.986463313302714,37.23080535972529,36.54180804017167,35.82994082848927,33.28458429152572,34.7398837854836,31.568580162595314,33.86050051842067,31.226907202325375,35.30086848378426,37.55779772595987,34.992083668371194,34.46374009327676,29.895954232157774,30.30535162958496,31.1654624021617,29.445201342868337,31.839953522121153,32.419564982390106,33.93346469161259,37.21916104567101,33.55497082972102,37.700510147107174,36.38655985402008,39.9881491474674,34.22814399894437,32.20576391449236,28.037563150157283,26.633148203106906,25.372627177682645,28.93349616667587,26.795204272127638,29.10147547832249,32.11511526164865,32.038183204782165,35.96122100906557,37.66571920563529,35.34632067003445,37.99564444897981,38.72377626646014,39.02136277363017,41.341877924500295,43.50266330291629,48.03320824367104,49.74547400362053,49.89103457274453,48.87944909587745,45.64514016767856,45.11285197818278,44.12338637807452,41.82653840988668,38.09271753487787,40.23376414288717,34.80204294389767,38.73703930733554,35.53010810372411,30.01625825704488,32.73501228025189,31.099616797659927,29.327784581853106,27.263816607257414,29.87990051501663,30.619476188028194,35.699795919573766,39.02550759817238,42.05872819575586,45.21927044014595,45.40872752791374,49.929794868767196,46.66107199459886,47.34677436165099,42.55251462609633,41.809113714272,42.48109383197331,42.5898033114974,39.78712129929515,42.38386302597799,42.089308220079424,43.9774116631385,39.65906312017921,41.19327229749545,39.41202119992049,39.38262946979921,37.07956874012959,35.71111354619661,36.33457396634629,35.85680678678957,32.62763237581926,35.475204482364035,34.121473088960876,36.39873576856107,38.859718388985414,40.59174626384898,36.96461041416069,35.49021640301251,39.74106584100158,38.388681285114,32.88389642576988,36.74168437466675,41.6798596911108,36.976883236049495,36.066653137632834,39.9370263369971,40.099910513825485,35.922078191836206,37.78746120885225,35.30810379902398,40.5945317781876,35.08692603936784,37.270615524162366,41.402615971518344,43.67564317453426,48.21940420767749,47.97935945749714,50.49428308537301,48.251884574691054,50.536709297980586,48.74047010137627,50.526677508947735,48.65830532983771,43.20309252672764,45.590273127714866,46.30115950589132,41.86465604599892,40.304215606350205,41.74878592791342,39.54880295747789,36.27524420256142,35.52996424571749,36.02962938280573,40.21600634674149,43.439335592605715,44.90796639939122,48.266246315672134,52.10661905087539,50.21189139171043,45.647325089137595,49.01755000235385,50.846207237401934,46.1609958248858,44.82022754931113,48.65743124339875,47.97899146466298,44.19815103427051,47.804342121074974,49.772981118475286,46.317864549052416,45.63690070336363,48.836470963198735,46.21649432687229,48.25608668699744,46.76229097088471,48.56001375061025,47.14056926300207,42.01902842758427,43.64915749633607,43.63301488718971,40.81939237668396,38.21421659267223,41.92357797952866,39.79489402471517,35.06744947870845,35.79066610549426,38.72214446563175,35.97088851531367,32.47003853986061,29.577956751461716,29.388488169126127,26.514312773426354,31.003695243835693,28.281906168507632,30.90156017351404,30.866745820969758,26.737429043880596,25.87768517915434,24.78336974726176,25.125767666409033,29.71694299034813,29.71129198050063,32.35600059172343,31.39515917118719,34.246079731545656,38.56246167093821,41.59002974905274,42.130287487774716,36.923556760793396,39.17901407599814,41.96619672641741,38.317670185242605,36.323722200060054,41.0588697002059,43.45393839882423,44.39174692919487,46.9591358655467,48.66461295089248],[36.241485409249485,34.42877050133081,34.172669022958885,30.321102172969063,31.333236679975347,35.96337269548056,36.508470791864326,41.09718370898874,41.15378276292715,40.19710260373445,43.56776697658483,46.87271766607764,43.36928797897744,41.530207431706714,45.96483386017469,46.52937646531276,42.41044181579073,44.831161972895515,43.18541450898432,45.22893755184421,46.08083374762725,47.70272940676772,46.962483138261696,43.83793096730004,42.75078220860783,41.00034383281806,40.7149685222899,39.722058938062354,43.619809655048854,46.02535128828775,50.473550163756315,51.0189878928999,55.37793066616682,57.06968078311847,53.59569584336412,50.02880111928148,49.53843568134346,45.85589347950407,43.41033867527051,46.7717762042497,41.81250724099224,44.799628589325195,48.31133633218079,46.86114987443315,46.030542320161956,44.377462870990165,48.08515751197656,49.468689486300406,46.20000391946359,49.28761590507305,53.31190644777703,54.681896273042845,57.14821943451243,52.57720276416475,56.20478593922124,59.58574126809078,56.656770623522796,54.909682077012185,59.61308122671891,60.60235057352725,55.78317565368475,57.93728549832872,57.92244132200364,56.86151291495567,53.37180813388841,52.33015814540736,49.82515085850368,49.40898496002042,46.414458616554626,47.17502207959068,45.25794559583126,47.47471241170643,50.34894128293461,51.322300521408835,52.46909486928768,58.080661639016625,55.601015256243336,59.753955131231926,57.48173710664885,56.65993048580135,55.516849643917865,52.84102763983961,52.63668648435277,50.713345726480526,46.56819347807011,48.147307570468755,49.61753372024594,53.208007815199956,52.29597019403962,57.72508688829885,55.67398154989076,59.131642213943884,57.21598917532546,56.62196558450261,52.465784435043446,54.12400570561642,50.28824953197725,52.819328155197674,51.1408434781284,54.096094706278585,52.57698364385772,51.61003374353541,50.55239866372508,48.349009503264,47.34022063164786,43.66700469052953,44.72967293137967,41.13269915903376,38.945275090985504,42.09411333930399,38.684931791967536,38.109365977327016,37.92379786471744,35.31201049275726,37.17875078182701,33.942715307616176,36.22218703405418,33.5366430135167,37.6858078447424,40.11358734135319,37.797876658495646,37.349893961720824,32.72413250774723,33.04454714779822,33.835105053465185,31.533060073303332,33.686497076647605,33.887387778005966,34.97565908192929,37.94403550498941,33.83981550902361,37.6655822477719,36.21750192562639,40.19558910708792,34.4956322217592,33.04214253257505,28.57259065808428,27.739519738275416,26.872458590703943,30.44498514263145,28.514653071661552,30.497671399359124,33.79724617938563,33.77368772281198,37.43699625932475,39.43655668651277,37.22321488016187,40.00184255726669,40.583635699910495,41.22588530636812,43.33366282155643,45.87892593942729,50.19265176936884,52.27043224776417,52.48409549254303,51.20729538534875,47.96892112584433,47.08926613273907,46.14682719644502,43.39408363591812,39.444147924620474,41.74302814057228,36.103578337227184,39.76734686051027,36.07419312040002,30.452514143422967,32.67900603836073,30.579639085072845,28.789306777115087,27.326950100299708,30.05641677668583,31.37262167021179,36.34907364057744,39.8509801987736,43.11880131465844,46.38094982140495,46.98677990351627,51.18866020803548,47.684438968184665,48.1524449595222,43.11421795138942,42.56217139775231,42.63859241051278,42.41000993859287,39.810226719977074,42.52487934689802,42.59776864260057,43.966989617646256,39.52823393573722,40.76635951030728,38.74649431976526,38.88502973657663,36.33264782227584,35.0795496481131,35.63167743380143,34.96073236460551,32.14837123450722,35.02518278281596,33.90502881565621,36.66497573752767,38.92163001603794,41.11361049304809,37.71579954346274,35.93653058582418,40.240610960262465,39.414528251345516,33.87356288324372,37.46301525653102,42.6733338667578,38.43287158501889,37.35120598580452,41.16829759761394,41.77555438107703,37.7303405187357,39.24870510077508,36.50278801337323,41.58113200027196,35.4483200376674,37.685989576866376,41.80039031397437,43.55605935283716,48.23290925922354,47.53305789593487,50.13618190416089,47.87461473311239,50.078360791445554,48.4664592243912,49.808059255636934,47.85572671347052,42.68275315668954,44.91045967424579,45.13866950226349,40.80848602548196,39.43889194420774,40.54847455035382,38.042471230124036,35.117086415050665,34.51352283708151,35.53504615179754,39.915333920433575,43.01598526586697,44.8003536782843,48.32367004290245,52.290003199384735,50.65404954075546,46.02768087648938,49.518959839622354,51.63416301655939,47.08816432006447,45.67234613973705,49.71793803327143,49.31924998145459,45.49355998788791,48.82909883639573,51.07716062456957,47.92872959990568,46.8869638945411,49.864072366968564,47.016812529869185,48.80072943105215,47.21847351962513,48.63868741762385,47.34962920559323,42.443408811042104,43.63066528922963,43.422647324651166,40.8302109206656,38.074606698746145,41.25246763974689,39.18066217218452,34.752030878174686,35.06142022457422,37.59284074329816,35.006244475174626,31.754156568064218,29.449179735579698,28.692205073736,26.458108448598445,31.165276435180512,29.106567118299143,31.740709417849505,32.35554885018025,28.229538262321988,26.944770783288348,25.248619915902587,25.52527752457421,29.987689423411805,30.558911555152743,32.88605670744905,32.49949143992051,35.6084576157632,39.93043441872566,43.03698168246655,43.85938474185309,38.734952006544795,41.01833575030502,44.082403696287585,40.627313693616436,38.67073392950434,43.452747436165595,46.092821459715964,47.04302813932898,49.605928082316,51.207162144855396],[34.59486226514819,32.53713481109716,31.866317150980805,28.129017912030857,28.58953905642263,33.53162465947174,33.917500327253656,38.42831962678772,38.74756374879095,37.76000920770801,41.21953404089481,44.37440301018693,40.727119745044504,39.181261862256946,43.54724243968415,43.91169626221426,39.78024196220615,42.25788625522684,40.749439471621656,42.5488428369411,43.5448402438828,45.029951529435834,44.493701384679575,41.42135782366617,40.11143313101018,38.43759924912238,37.9183787580489,36.94934066942674,40.82756902171058,43.15883321113713,47.86929812955179,48.1863328760358,52.608028129784564,54.300747360594066,50.71121585336062,47.19011138928549,46.51332044882441,42.8541652841672,40.31572176864765,43.53922477158085,38.74378264718159,41.91562778227833,45.38890571013395,43.79660283857852,43.03528063338718,41.27979025774513,45.048472796487104,46.39241808434604,42.98167285885407,46.04935660447808,50.09368250019233,51.36111028820867,53.87969408340279,49.40380072826503,52.94952556206233,56.40275992860531,53.59099215503786,51.85597084958645,56.55866611501358,57.62105740389124,52.92141748500742,55.21730374351875,55.21300033582519,54.35178683747926,50.73141637747173,49.601011483149634,47.368256687026935,46.9001696031964,44.15843639698646,44.938736543472714,43.1936329634847,45.62658645991217,48.26417985887993,49.16285081643394,50.07146060464065,55.65358913014108,52.96010996380005,57.04353829882222,54.630258674931525,53.70810263512999,52.411696228359126,49.62589138936317,49.33509814697505,47.31969349567668,43.22097678576985,44.924804515218504,46.553150006816644,50.115871889055896,49.423738768409684,54.886898284096496,53.01592903020305,56.62776135566155,54.73418183201352,54.0811413577676,49.948625208512226,51.77016031555264,47.965325516863324,50.205116507785554,48.473376160107826,51.35678049277163,49.65138200609406,48.54382582873611,47.386205545193995,45.09244589424074,43.89734021752271,40.28873590737251,41.28682823077201,37.65304852603303,35.60402290317746,38.80582362285058,35.55928244906111,34.93038944150509,35.0005384890138,32.33697893358996,34.44538898680475,31.218805053601486,33.558836471510915,31.046786666671064,35.32205671250811,37.662305737683376,35.506853445836164,35.01029166026775,30.36636790376411,30.54642735638596,31.275863223325494,28.622744315469753,30.74205031255946,30.7000664511701,31.65140776579409,34.47333517928641,30.32934667276263,34.10078851406576,32.584187008601354,36.597604313257854,30.910696115083137,29.590457553870976,25.080745665436094,24.400232404740787,23.720508732838013,27.306275385901735,25.674834927252483,27.688795394192297,30.997092254466576,30.843601268642207,34.402291580197684,36.431731443304855,34.22710341147462,37.009444976956985,37.49716209296427,38.32946815241459,40.35571148038186,43.12417383096956,47.32409474578222,49.670275856841904,49.84173622147105,48.370372204995626,45.11677564181607,44.05954307837949,43.124355112450694,40.17012286109164,36.14680442810786,38.54962980108565,32.87488669358225,36.476608289523824,32.67859289972039,27.069653877726626,29.140163477875777,27.08446449966255,25.181688967624464,23.779460232776568,26.484050379818424,27.94035374785408,32.881037250150705,36.40795326776802,39.73998575761092,43.0060043002401,43.77602064176544,47.847909766862514,44.30536157546028,44.68445979105463,39.616225301111534,39.06554340733273,39.031500522813126,38.781833997990965,36.220068757814374,39.040182956102335,39.24855403177694,40.58952767056518,36.27332661934005,37.353340357262006,35.27710882085422,35.33106182850799,32.72200770570418,31.42865541213285,31.97724693397337,31.348167877287334,28.567354485359953,31.52893203209844,30.572370761541276,33.33540698135288,35.73934425374944,37.954185723831436,34.58409950008126,32.96040479957866,37.33657343735364,36.588852111891306,31.211354212147036,34.870831249178714,40.0648535273481,36.02393158562432,35.114560928614125,38.97395627068565,39.58818638723678,35.79059604114865,37.44091604951143,34.586734937260225,39.666363666772774,33.52934685193458,35.451533082045565,39.610546605820524,41.25824388960368,46.042269952136856,45.151407824445336,47.53770237467513,45.09708093745292,47.13854107047659,45.36504501893068,46.687350205032615,44.9186596947143,39.6497589855663,41.708377603264424,42.06195715345286,37.80195661642033,36.25061182346917,37.27025304916466,35.006343968597555,32.1006462571627,31.148159243105614,32.32308849207357,36.50355937802418,39.659565762629995,41.58358759936263,45.02579094966432,49.083826829645815,47.371323743988235,42.79603128502595,46.46839976714899,48.54451592967334,43.99621538033338,42.74131031285754,46.89215351783746,46.56062295167354,42.82948409758913,46.198981152178526,48.54036553377276,45.53416065703816,44.5343067901277,47.48785260032664,44.579270374508404,46.17263724959327,44.38823259068722,45.81390382483587,44.7823606745255,39.80537437900896,40.7857665482774,40.79967539070522,38.314419768429,35.29195434258568,38.531517211567106,36.79211451382928,32.24311993763855,32.276747134476146,35.0688963333484,32.77430821144058,29.434893524037918,27.156232591827578,26.775549433266406,24.699055530035626,29.44817068619234,27.282066431012176,29.523937673985508,30.17638181582074,26.324442260436992,24.71674017687174,22.979967490260876,22.856629456096673,27.151220354361218,27.58003073344337,29.659318454516356,29.32541116077889,32.73385142867963,36.950536583805906,40.164691963491855,40.95578420558334,35.94656084304743,38.443492779584695,41.529990391991284,38.05630991211089,36.383384119435874,41.220415544408226,43.93985602194054,44.77732705925625,47.349478042421815,48.91690552462996],[30.188026452348705,28.34720447860167,28.141860218056237,24.45724378941577,25.700660362686133,30.331536749874548,31.22282771743311,35.84007297015467,36.085473527539726,35.58980478100108,39.06459877426609,42.1792649672431,39.05199915352483,37.419780379123125,42.065992195835896,42.62558774899157,38.80535820755535,41.716488036993134,40.74560526820429,42.7559368699186,44.15076739684166,45.97262610381786,45.68659583230558,42.86456415273705,41.268143073452606,39.12977204874402,38.328718773903134,36.8181632024476,40.39077553600184,42.34154992847437,46.98884596588603,47.094583899701455,51.469374688605924,53.56123835701658,50.109476866660174,46.82561347501864,45.99182356338304,42.9368724957119,40.62491473649382,44.33347099916683,39.807467088671196,42.7341387218758,46.48322552278136,45.04821429878912,44.743584578408495,43.16545235588205,47.11588499561797,48.032546360118516,44.44795849747793,47.89086186120897,51.716423461901165,52.80385369482812,55.219632301614176,50.63152448251339,53.81898862690047,57.53208393608106,54.92660067545919,52.77539203494567,57.40191200621711,58.880719519142986,54.06784985681259,56.134899964851066,55.76710891641888,55.20701954375938,51.72090413093883,50.218122064403026,47.78479116940132,46.846455844845806,44.00045294078966,44.27899609395551,42.598760777685406,45.021090396686525,47.68633227091893,49.06301853448356,49.732590082140426,55.54754205439947,53.076163956713735,56.99938915447629,54.75166424435592,54.148708356163546,52.61084242572437,50.09035023274669,49.3347536190378,47.6199376597366,43.66417580178822,45.01339010943865,46.84304467863835,49.9844579669992,49.43569003599658,54.5809696489994,52.6158483788327,56.17708057182542,53.96426971466158,53.02523192117108,48.69050021547371,50.272800393789424,46.28511749098045,48.62136127277574,46.66152944485766,49.26142909273121,48.15472344787891,46.84414830056749,46.25347967355224,43.726829250188636,43.05925391608144,39.04789599989051,40.025367742315616,36.51316475705653,33.938634800408266,37.053524643206835,33.444615738211205,33.301406841797295,33.01632885156728,30.842093281388482,33.027565896656135,30.13936167741897,32.89259003866112,30.96976102104176,35.404491217845354,37.17954902702474,34.74658277642881,33.79397138328623,29.179805658432496,28.9362339535071,29.182548642032575,26.91386134808515,28.428185854522408,29.027285068909226,30.131217580067002,33.51913572191097,29.374683392560065,33.40450273646383,32.483501338851866,36.271793184833726,30.71590763326324,28.982358457668752,24.298711120858613,23.737344902787115,23.169635801691257,26.99154061386083,25.88279701374694,28.594282737149058,31.48952513951601,30.87409305429818,34.7058455896184,36.18801170374668,33.665881203406826,35.98049587039781,36.19563778867398,36.479261301762875,38.281823672522,40.70961782110116,44.92634110823568,46.83502237767336,47.33425498823935,46.2220649645464,43.20239080967572,42.24935342046121,41.726202006806986,38.87933197134956,35.40285002713214,38.167755157153174,32.81746651423648,36.80091896938983,33.43721801867196,28.022698516126773,30.150784706525883,28.736534105940397,26.328414587228693,24.54144769189747,26.856000473610493,28.03148576076018,33.079282085280276,36.366898460054834,39.54136050146122,42.49260048457672,43.08814999307154,47.36964091801943,44.25953510685685,44.57444313236977,39.87288848313636,38.61849300866759,39.18209323021325,39.372806620567374,36.83411226489272,40.05016583636754,40.24214269451372,42.106469700735325,38.196977864920015,39.15469986015449,37.098455365130796,36.68559599968867,33.97628645062046,32.23040766634338,32.45470726846985,31.553935225710006,28.186959162484676,30.73504934630116,29.12345046125427,31.651670962528122,33.765216518086056,35.74672483207957,32.28305913194277,30.419090888429164,34.64529289290758,33.62598403102581,28.00145330484428,31.64177904355253,36.77373997798102,32.39081171326742,31.30579717147026,35.139168251861676,35.67498881595497,31.617729195640194,33.21061270286909,30.507040301593715,35.67207376581753,29.82713856146745,31.977415459439467,36.1162182789584,38.187556626025405,42.8007789764623,42.411397714317445,44.954250624251905,42.73899135253978,45.0711700438048,43.428006277993525,45.138349812441895,43.140629302065896,37.78188448039635,40.285349018882016,40.877416777810645,36.387542663057815,34.97926335220307,36.560346015686044,34.16921821472154,30.821161142365405,30.466217142345883,30.779726161545113,35.3088588196366,38.386038951895145,39.76826052926965,43.30306269072428,47.08621816392742,45.464702707740535,40.78760222869878,44.028800238693,46.10707184897836,41.556921566849205,39.98648190218555,43.91297104608621,43.44441817588904,39.56540396628561,42.93083098049347,45.09192076950394,41.871694654238915,40.86872214897493,43.91021037588876,41.14499348915593,43.06958277493132,41.598611302992886,43.21177133849927,41.7779176114415,36.765920195641606,38.26899191910494,38.12531823218663,35.36669377255635,32.76574001404359,36.33815520759089,34.18376893546765,29.5116215930723,30.219638517779742,33.08475107466988,30.34140439587608,26.846269271707374,24.06388123506074,23.845680499499235,21.139387031886564,25.728498275220225,23.248519703569936,25.8216010179877,26.269006204224567,22.143877492900273,20.942958184173992,19.482499190487257,19.882075056564805,24.47178666791216,24.972279468225473,27.655041872646382,27.232065201539363,29.885835239593813,34.32228695515625,37.28928661018313,38.26205947122219,33.03699620847729,35.08690416070604,38.22639136723355,34.96329978277864,32.741459975003885,37.49081975688635,40.22500024517231,41.287919116000275,43.86005468105514,45.41091505074305],[34.36466676468821,32.86466504899425,33.03463635084244,29.746847300015858,31.24708801475207,35.89497316268973,37.02370150777742,41.644273891385886,41.90268746452952,41.50841735908448,44.95586894155458,48.09360053264265,45.029093650151886,43.322847100438054,47.97620335825118,48.579483657453174,44.7218703745416,47.529011965506385,46.34442030192344,48.37615459848112,49.56189528771688,51.27721490612558,50.789919440237604,47.79999388740992,46.446146387154656,44.50390133707849,43.89217886688877,42.56734362569555,46.234605319711314,48.274270235292555,52.88589255077182,53.06078971402207,57.43458292394344,59.473791303157896,56.00821655928277,52.664369337859505,51.870172626886706,48.65269558881025,46.250692829149145,49.717109845672255,45.085014396067756,48.14127381868491,51.7583384492252,50.221343053269955,49.63071398526588,47.87783273085347,51.69987357306397,52.94333597164802,49.40688416701685,52.529665620612995,56.56318425115776,57.698236701979276,60.2427651132241,55.78072724462033,59.13828110318787,62.746577735005324,60.054815818264395,58.137500108552146,62.80590097621197,64.06732975298814,59.31658173422075,61.48014601120638,61.27575714853845,60.509596736238294,57.00115740017866,55.69776150046163,53.24714663805116,52.50103205336629,49.56341294144695,49.97116470815952,48.173272712575745,50.456617551112686,53.273453407251175,54.5591398283101,55.42700762442167,61.18965354060268,58.727893286390035,62.727845284473645,60.453303941647206,59.73987034783261,58.28534660273995,55.63294975947183,54.99568213638604,53.11433435103033,49.14316871328306,50.68822697466574,52.486424517805226,55.76446929006093,55.17273276678425,60.409523865248275,58.42826680360619,61.95110244591394,59.80014692691444,58.93071938630816,54.61342846067341,56.15640506149853,52.16811165429806,54.58714211051484,52.62828483229726,55.181071418919196,54.12307233229182,52.722048596498325,52.14318204455247,49.50175319660236,48.63995000883022,44.64256809255281,45.360021338135745,41.71646327582297,39.21205267196216,42.52044365260403,39.02759320519738,39.09151581019784,38.92158457585572,36.80191073606158,39.01010175019708,36.086479717671764,38.75133401356743,36.596321495158165,40.92832675657723,42.92426083447318,40.482746165073145,39.640723965671214,35.027999295918285,34.88702973733188,35.14000764704933,32.87872452071106,34.184404106668495,34.78554426560913,35.67503600336328,38.96129752102524,34.49223288732351,38.26867740999096,37.36089950363226,41.421960255148456,35.946380878328256,34.556002364141484,29.692366036698584,29.45326235188048,28.98828519175169,32.77460584542635,31.471249383596145,33.894825180116925,37.0022798709557,36.57892216733265,40.327667635325305,41.99254588535381,39.54300613049286,41.92923012192938,42.12140411354561,42.42311467899887,44.11276297069606,46.53969066023829,50.68107937941299,52.50161492589974,53.152734958157865,52.104395538193195,49.141358007386835,48.12695866916243,47.67399187090896,44.70746268257065,41.189603935054166,43.9711417983008,38.52071953567956,42.35529568154188,38.72420590026527,33.21324642976529,35.09559942844054,33.243314047117444,30.9300274417643,29.607597644130763,32.03492293169536,33.53662976867308,38.52056266417027,41.90840638153743,45.19049082327308,48.19310290727251,48.935161570198304,53.10292450509992,49.87614456916785,50.09978398307873,45.25751454998641,44.12387394161672,44.32514240570823,44.266869966642865,41.876146830285826,45.0972893467741,45.45068597302698,46.92814110221391,42.794044033535535,43.66485239574518,41.456836231524555,41.26401837807965,38.38283259126188,36.761043239779035,36.89401473384473,35.732756692991465,32.7089103045349,35.12032657838939,33.48525402766947,36.43328744664678,38.0917562637218,40.44890560208153,37.207802423714334,34.83788345406048,38.9365780126678,38.31504354326817,32.507513871691685,35.70581929680693,41.043930826769,36.86689847094708,35.367210469926164,39.01481740994621,39.962412121782194,35.71968801005389,36.73823103807856,33.994759836547054,38.86574026954679,32.522032964162186,35.180741113632195,39.16904291638935,40.896089800964276,45.42100101628282,44.90988376410857,47.85292057431099,45.92158520034341,48.4212010031865,47.21764100826983,48.54745983874789,46.19249493335183,41.283693679311796,43.89506411133981,43.85401198834852,39.375835253233475,38.44233856118677,39.8635910759531,36.82976915712017,33.7891272362485,34.12323462515733,34.66765875971978,39.64917373461929,42.496219637807044,43.927141676671845,47.719690294063064,51.441027207486606,50.20040211764155,45.41876716722507,48.45140085509602,50.848025473984734,46.47579775901197,44.59081402858479,48.50802229180113,48.20665969174975,44.17797144555752,47.19064089009458,49.45034543048519,46.336679742247625,44.93110889407781,47.762377865783264,44.90655291100597,46.86833205242181,45.648737822617974,46.8844284640456,45.178877848330046,40.53846106117192,41.93204139575353,41.26089796214443,38.57410641463945,36.285877583725096,39.221891345127965,36.62237142407744,32.48807035445182,33.22603616685341,35.27843290813102,32.26190397664246,29.192089118488454,27.000504203350047,25.64021342644122,23.393590059356118,28.00018004265612,26.41454510189084,29.54265755897701,30.55705251830509,26.138093079076665,25.06591450155373,23.126402235991794,24.057083195597148,28.634236578254004,29.89598980412438,32.59048261146677,32.64720580053477,35.04102314912818,39.5752069507223,42.407599514886854,43.697084361776554,38.44054974817176,40.15109048486807,43.48467032863612,40.487688632791055,37.888647092829736,42.529264994781734,45.34364659012378,46.5880444734678,49.11231454768865,50.599424984407555],[35.379149113305424,33.58276802151662,33.124545112242636,30.302381577214806,30.835123787142994,36.154874682113835,37.08094773474857,41.547565560800486,42.32266227087653,41.861213216489425,45.45034623806243,48.33609307544768,44.962671255904645,43.756773598996226,48.23606907139668,48.46939918106605,44.52123655943807,47.271550554369284,46.0898666126415,47.647874221075995,48.8592555891148,50.17352996287185,49.85900130060394,46.81390527032359,45.30944582062734,43.7513295374288,42.912561314186796,41.864759275195084,45.59009748851964,47.60968107667356,52.67383971730785,52.51504669351007,57.0036946406597,58.92248931184096,55.21703082709505,51.88449934481693,50.80293234150793,47.423616900233704,44.762928167346224,47.67190422164338,43.26804050098182,46.77596410894573,50.13950911494356,48.24674730784241,47.48690661122655,45.39410807784828,49.15530599390672,50.65026909252298,46.94787370633478,49.68180560414027,53.92137929226938,54.92402344357891,57.67029423472429,53.5326230665369,56.914689227935924,60.504623673011174,57.945209585160676,56.325912312832585,61.00704528269855,62.14874706863728,57.72002325681642,60.24766500025967,60.26132208895701,59.651915068534684,55.88374131068697,54.64948800880907,52.73678020470827,52.13243183874233,49.61608962302419,50.24583792585006,48.66336864473663,51.22694477150421,53.71894800442454,54.70440011596463,55.33174416932518,60.93640177801124,58.05364966763616,61.998864764731664,59.41934931071478,58.37752218435828,56.75261651980451,53.756368640024114,53.131852444510535,50.90329607938543,47.015189278705414,48.99688470200693,51.022679994200296,54.40760310747484,54.17302146900213,59.57966237369612,57.945268420128635,61.722316038295936,59.72882874598579,58.860732867397104,54.647078115279015,56.50657512975536,52.61387019552537,54.53479762029478,52.52230949491857,54.95651793251509,53.47328891288037,51.773993455443026,50.9185469412481,48.05736920893537,46.6001319380875,42.812124404021375,43.188327668318884,39.35419712352475,37.255871035640695,40.836831215674415,37.809493455230474,37.874092708274446,38.329949885164616,36.09957330279126,38.7573620766098,35.79456239847223,38.43321758812137,36.34296550144677,40.770763371001124,42.85143036977732,40.745449407368504,39.97194852818664,35.33967051577642,35.07766905661677,35.286238811989634,32.3382646774297,33.479222344824535,33.54137296950898,33.966450522443466,36.80496548925442,32.0040663220035,35.404638752511886,34.317890403248676,38.683003611103416,33.335701221501175,32.55317275953059,27.5120620302799,27.858831432546616,27.83201129343519,31.55704983997003,30.636168778647463,32.76355836849875,36.04510290085179,35.59666946108944,39.007520147085636,40.92697475739353,38.610701947475654,41.1043276270638,41.136625239008794,41.88798515870315,43.36692638612666,46.275062079994534,50.140758550549066,52.49485786089104,53.11341805339552,51.67671793503475,48.68867436342473,47.27288003770073,46.82321615631165,43.370185892333424,39.625398513796824,42.55415405606946,36.96497655587171,40.47632249899211,36.417782152310345,30.930180552794333,32.24635580592414,30.07100142611655,27.69695912185551,26.978013067940026,29.42140889457967,31.47701736270487,36.26212107253159,39.77398485691827,43.26148123247577,46.33762841780637,47.53380434810569,51.30827354763348,47.865501140138115,47.851577476803726,42.8187446618488,41.88620498067039,41.487356648833995,41.11753181053678,38.95313403788994,42.304489391595645,43.055171012386545,44.0640806130561,39.968260750039015,40.4615509731588,38.032053606112356,37.92394252481284,34.82358342549339,33.295517711246816,33.361542594716326,32.075591931485675,29.505674511867014,31.9879830842896,30.74294215570036,34.08880243255748,35.70230851894532,38.46020027704039,35.46707155917957,33.024422169560154,37.20788225210665,37.10796525640052,31.496962900010956,34.515758096122404,40.02055103404951,36.448167585160476,35.01052364622239,38.63330766719848,39.92137351422816,36.06963692417439,36.960234682731674,33.9170504606365,38.58354222216543,31.752577579992188,34.10539912890616,38.09763652928704,39.240734306009465,43.975895483680986,42.850895063037065,45.638753371396454,43.51003186123423,45.75771879965463,44.55635798863446,45.455953719677126,43.21942990267012,38.497239568046915,40.77448741819655,40.402902018164106,36.11610200673305,35.19027871316441,36.193656548438234,33.107520903048005,30.446796169381575,30.589367192994814,31.771096477908426,36.690351563074046,39.46170181697753,41.311344811202574,45.14154971039879,49.05150904136917,47.950908878483304,43.19937483623866,46.511184679691404,49.08962279353043,44.848173556868936,43.087618801956374,47.263713019841674,47.25312064589393,43.31434223937462,46.13432616482763,48.702996633045316,45.9901188946204,44.360431530636774,46.97570944816873,43.88346767684985,45.42063038431815,43.91846430637582,44.827994510718774,43.51479123913472,39.01180783548071,39.79246572445381,39.182211306546954,36.821873619269496,34.13619059901659,36.62325004824106,34.43237974074709,30.48238883101578,30.53796147995233,32.45129260048879,29.910672564934988,27.016119765998063,25.444885509054405,23.93569282239271,22.517422242371566,27.3093615687947,26.216082128611255,28.903646239420326,30.463790945166306,26.392929578707992,24.668366302411858,22.209701340768866,22.658172205366252,26.877311043303237,28.47989845589065,30.62161104755326,31.190854034700557,34.0747182287005,38.45728324110204,41.44422015299471,42.88848846803758,37.85609713066743,39.80911913573615,43.332262295953775,40.45063515404046,38.2141895170375,42.913504997304386,45.95931936779544,47.07943981742339,49.60835590074205,50.98623500682191],[30.44973978358108,28.457294991418255,27.76393043929484,24.98439920204303,25.346376960459278,30.75523767741282,31.73394538174873,36.16863189813851,37.10335009935969,36.83492578598984,40.48241618503664,43.214734540322794,39.99170079257581,38.989734066839766,43.52600551075097,43.69956134892249,39.931627022642424,42.957760373922845,42.21692030035262,43.7044813020923,45.28093950024526,46.7154952815999,46.73136495592728,43.919732631319825,42.04680408995969,40.236087459627754,39.03721805911417,37.671930585404816,41.17668063563917,42.9132607553005,48.11636166781491,47.67462313924262,52.16828115370566,54.30186713939824,50.605423304430765,47.453913108895996,46.15828102928663,43.172096421460644,40.6066299563588,43.76521530981841,39.65580439217053,43.09478283877504,46.61888194389268,44.76466483990305,44.4027797399928,42.41624338158472,46.35832012934576,47.46620657615149,43.57324676115998,46.62363288092072,50.67062776553589,51.499296703478194,54.16628392439675,49.980268204990494,53.05267742439343,56.86129904782915,54.514510013001924,52.59131244948191,57.211457815531595,58.6982423052917,54.260434506758635,56.71284773909499,56.48256968455802,56.22805417330851,52.465841270654074,50.91323687682045,49.079278278919986,48.138402187086164,45.77828182684725,46.12583149889661,44.739143488187004,47.47200883465235,49.75751627572542,50.95770746683938,51.24077098365319,56.941951957534805,54.043432966067286,57.82585292931842,55.258812893782284,54.362740089490714,52.489669734951015,49.618469102464196,48.65336403049411,46.58958866640756,42.814622028855155,44.61487995440334,46.85539364445044,49.94790430109717,49.943097190502385,55.16222528516009,53.60512627946022,57.4579288673403,55.302798490518995,54.2326793809739,49.9442275155667,51.801470164574205,47.85871064569499,49.590923168138104,47.43555029232851,49.689062607687966,48.363409367931084,46.501188722359885,45.86262921381642,42.864370700518265,41.625102640945734,37.661687180018475,38.07741066329928,34.32152508794997,32.009829267562,35.5256345864341,32.38963722698175,32.60333336618416,33.04062233495325,31.018983698173034,33.88416834560832,31.13644607815179,34.0355340741233,32.46407639002643,37.05000209918851,38.701028029718934,36.58997654081921,35.52913277324936,30.945993792652814,30.335678404204103,30.244726648328914,27.222894459897194,28.058268537919357,28.256274858250137,28.714676777200875,31.785981961842108,27.04597071326914,30.662595661838985,29.848505346865853,34.025372891938325,28.71462989194507,27.690642546837477,22.560932769846634,23.03098870260443,23.213124393561646,27.049231090911974,26.705374083317967,29.288432099711716,32.26765213089945,31.427999767874294,34.913172435541924,36.498332456732435,34.01217959455038,36.230880429789345,36.05858689120061,36.663141565803926,37.998227593491016,40.89381224614683,44.70282019386432,47.05638457776643,47.751366504188084,46.337065325033706,43.44267165944578,41.97700947501557,41.7193095699509,38.223956582578644,34.73169359581306,37.91372713104863,32.522708313815635,36.232581507320916,32.44038202490364,27.115586434148373,28.437828285051555,26.82574978267184,24.04201058653573,22.980675040886954,25.14186890981833,27.04260271050622,31.87336011894606,35.23505199794055,38.641473212988,41.53374870246827,42.696191851198584,46.530238946725675,43.33452260152782,43.26382344476613,38.459503618056196,37.10515597381773,37.09184570443901,37.04905964512057,34.85806798117063,38.49193453678558,39.25387501235415,40.68336249063661,36.97889060874391,37.349012841535334,34.96615249224713,34.453117054832916,31.327759992588483,29.459798835915993,29.378490604328455,28.069938245868595,25.018401366807232,27.40674525803912,25.91000516135222,29.001166758528754,30.756538353049823,33.278242246660646,30.156303780799764,27.871963361619773,32.11204089564478,31.780905762598124,26.20488847846867,29.446555622453026,34.858351958252214,31.179719426422878,29.93122022527882,33.652661459952675,34.758181898840405,31.036229829861863,32.20552668860987,29.159883211910355,33.99769932088421,27.47987466870695,29.519116547497358,33.62167445902268,35.06879976928626,39.852433492007506,38.91732502964105,41.472617113814124,39.19966580681292,41.43000419759824,39.981303835394506,41.25963340371494,39.1755574126854,34.094615423935075,36.46747762482326,36.610122680034465,32.20188039351034,30.997341764347563,32.338758144961616,29.630938185163814,26.547085961693195,26.46455454425396,27.182115986829913,32.00672868710502,34.894856644004776,36.53917148887085,40.27339921835781,44.14417885901937,42.872298188421034,38.125496359564266,41.438479251369706,43.86738624967341,39.53789326390401,37.84729001120121,42.00048938930917,41.901405315188285,38.004556343735125,40.9936960727961,43.50299251252565,40.73724589838575,39.290803665003665,42.02597332877042,38.991209747736704,40.55576499063119,38.96161163117419,40.1414366003431,38.906639414523504,34.150804836544246,35.11045724220201,34.80095215755679,32.321743865081665,29.507979075481014,32.52771384845498,30.53118333906734,26.140859194345424,26.348893741227275,28.89772403902492,26.41611705460412,23.131458324369607,21.026051735592308,20.375952092023986,18.53026045536191,23.321974632619252,21.636131619875083,23.98099418262184,25.296844025790655,21.41541707565543,19.546115427478796,17.299106416469854,17.49804277613886,21.79177960535534,23.084524974202385,25.358196829372663,25.781984947389926,28.60010506981445,32.99169454041276,35.986965721730684,37.39241642055881,32.349694556821504,34.35533633249831,37.85580624505863,34.984806464717785,32.82370142499794,37.547822868340084,40.62321814783791,41.70296111602429,44.242038556780415,45.61332518154073],[28.842646822336675,27.316706263889003,27.428147160828136,24.758853202382923,26.225195810327545,31.089725580732736,32.62588357221028,37.1608949095779,37.85202740077553,38.002393237086835,41.574660832353906,44.36955604548106,41.66255541507056,40.38436003660981,45.15567313041974,45.61695709473483,42.087987689455055,45.35342011846937,44.854612144374144,46.66414229400539,48.37957722163871,50.126935054734375,50.137522314505034,47.42847432787118,45.55227305027856,43.39988837906319,42.21247278932474,40.494365026083806,43.81161103766324,45.344267255099105,50.29537121989847,49.874467776035175,54.276004377932374,56.68791749242446,53.17776439545717,50.159335245775225,48.897704016276066,46.29859938057763,43.94972113197023,47.50942126486825,43.43824582023926,46.58958548074572,50.31349890504444,48.65943262003366,48.5107181442502,46.6994540790384,50.70250110333413,51.598512107485995,47.7080211564643,50.98650566326373,54.8974248845798,55.68874654034378,58.259663286266566,53.947406582297305,56.85344801237475,60.77072348245365,58.466990181862975,56.280270449322664,60.85419944665705,62.546507823311146,57.949426024175295,60.157406572259326,59.688774275872284,59.4753525103831,55.88960392865556,54.171066481217856,52.00233383839118,50.79929143268677,48.178124079497884,48.18063434020859,46.706351577375784,49.26222400819369,51.747098274422775,53.320518124530125,53.627919494714725,59.5036475758794,56.91274462816007,60.63908998136226,58.28730528175583,57.673194801867005,55.75491465551669,53.13735509112268,51.930455111947246,50.13113776452304,46.42514739207433,47.90565259044359,50.15701757490758,52.98974663529655,52.919226856716655,57.89544292345417,56.14405372675366,59.84384983142707,57.454595889857615,56.22905217453447,51.788349236979684,53.346797784601854,49.25808336040834,51.26970107391632,48.98805097754846,51.0573405816463,50.32936569348566,48.407269900171556,48.268616415736524,45.163174294271,44.431785740311675,40.15464168352143,40.56235642624047,36.944502639866926,34.165226446991696,37.5643376085683,34.07940323855244,34.731613594390275,34.72440052837365,33.125017262670866,35.84237177741351,33.33332967206723,36.44122943558526,35.10614373329881,39.68318062362309,41.04721609260667,38.636538334585126,37.314633080810836,32.78567457107979,32.0038274727647,31.61388322587402,29.16857495735052,29.53985311633271,30.405972546416805,31.050269447783833,34.5977364737668,29.9158552073239,33.6792958226822,33.35229363813098,37.32651705681519,32.15735009519754,30.784406455462587,25.6373936243617,26.05743617787311,26.139312503302996,30.081094186262227,29.791812098280616,32.74971240468219,35.491243304837624,34.48518575627554,38.21406085662032,39.43225899331537,36.74494125224615,38.63811936762173,38.34243633882755,38.40277977802107,39.600084136043385,42.053129626536254,45.918208505649766,47.710176523662966,48.72210261407167,47.74031402231606,45.05985858879829,43.797779099726284,43.854250605494094,40.591399379279956,37.56464831004403,40.8967249599421,35.762193546133396,39.74383844401055,36.305854965677085,31.093027020539658,32.58049565020854,31.294506036386966,28.349435528235585,27.02109470125657,28.966590180927735,30.56835727918241,35.460289589457496,38.63306945657907,41.8746338529424,44.5370546915941,45.46401621418269,49.51441829247144,46.64968433110451,46.592793527034466,42.06985380200402,40.25336043939969,40.70293264835241,40.951104637522626,38.76881396824238,42.556629242459195,43.208917908576254,44.963960307974396,41.40002748586918,41.82079313494423,39.48833607002537,38.77852017587642,35.64320699904324,33.548847297789955,33.25596075051521,31.724450310652514,28.327697419334125,30.28344644160336,28.174270554281442,31.093612287091336,32.3879327692327,34.74250244210919,31.60739852570388,28.928314053208407,32.902608114846515,32.37626641330367,26.485001423429253,29.505931263111428,34.88304103725724,30.842726911977902,29.208106871399206,32.80546910908793,33.94739732113679,29.789260016295305,30.63950197706345,27.796618243629123,32.61920227286279,26.233871048215143,28.8587861469984,32.85312145285448,34.668198939227835,39.18172300661632,38.80557887996622,41.73889835031011,39.870481220449115,42.48948956327049,41.37377907819164,42.900551650195965,40.43115486983852,35.49014859079032,38.357245311523215,38.47607633500203,33.87559652838629,33.040723141832345,34.856893548260445,31.779176582245324,28.42396895326508,29.230822862459487,29.16336309945507,34.428862536650534,37.13485889394055,38.22512753978806,42.10990743833363,45.64720170930882,44.58913624721143,39.741981474390485,42.49661604957685,45.00566105716448,40.74516494674869,38.62130687103213,42.47893341975953,42.25647258835005,38.15641664102023,41.0145096945718,43.31641876111609,40.30832353921983,38.73113667136457,41.495087674044846,38.61714528207073,40.60805002808952,39.498428267432445,40.7410464883609,38.91399983848954,34.2989350470006,35.83421476902331,35.101049647717474,32.33402917004025,30.199326308718415,33.28573193334451,30.57588903024655,26.34037464023962,27.380365681036775,29.57005405632915,26.406214478014228,23.18494855751266,20.760638852381515,19.64142175560347,17.170449516851285,21.78060729590775,20.15876337022924,23.279560062915255,24.54310214850192,20.14764780646815,18.964764814910538,16.894425784649016,18.084075790745302,22.667434628754528,24.28720355504669,27.20520423961619,27.5886874274349,29.476533979042127,34.09354205996042,36.748688406123776,38.38218948069705,33.12024707917689,34.50435827351591,38.054653220479835,35.45567024970475,32.566708563685516,37.121753136979805,40.16752351691862,41.552667851458985,44.06259778889509,45.41838182848505],[33.638429540033435,32.24417429378091,32.343929506356815,30.068568954252783,31.264488052902536,36.37566341872468,37.899520693427434,42.37753252835734,43.23054569134797,43.31953891825497,46.91821664766619,49.67901509888611,46.814816710789295,45.626884517103676,50.31793266980904,50.671961318239255,47.01311715342137,50.11504314244653,49.35576272263528,51.01754647510713,52.52243751000222,54.0225599695066,53.89360386406219,50.99551068077619,49.29340825859704,47.4649206929359,46.39865370838659,44.98575304859077,48.4625899373869,50.13527967108048,55.21552032312693,54.789978220065386,59.24274509136455,61.51109119845389,57.88699609500794,54.776239022102324,53.48684098410347,50.600508995955096,48.063637229452276,51.2013537732738,47.06662331106381,50.49391128219224,54.00746015456114,52.14442333390209,51.65701894919355,49.58308546578416,53.445691211246746,54.73276310654942,50.8542567602584,53.71056720274132,57.876984550829796,58.68951651938718,61.4381302528313,57.33929297707046,60.443563227987994,64.23608721689618,61.87442057508327,60.021153770408745,64.64960755833782,66.07600636164551,61.637814157285014,64.07164135487868,63.852761258532716,63.48189257872115,59.77009325626482,58.278646962500176,56.2850242591564,55.34447779125949,52.783826937916544,53.03699104988193,51.5178794641067,54.06413911328505,56.574263416183385,57.91141690267434,58.34131955639389,64.10774861088818,61.35370372750692,65.15704999116689,62.659693211952714,61.80699946943237,59.93605286578199,57.06272682595423,56.02747874782438,53.941176922092474,50.221634423529444,52.04493728222573,54.30928976310368,57.35526617809157,57.335318482954975,62.49764851552283,60.850430986090835,64.61515382048107,62.37015899165172,61.24581945346274,56.874598347793835,58.545984484060575,54.50691357503154,56.425678655013535,54.16976943924985,56.23040528118818,55.29524829461215,53.25377446621383,52.93452377866813,49.7203156961981,48.5615933700338,44.438863233025934,44.54781733423604,40.755419969632044,38.26771332731175,41.903181113535986,38.72461209807978,39.41836864324031,39.73971514168079,38.03045936134568,40.86769874574936,38.229904957142644,41.19774184844941,39.577897774380126,44.11049046230118,45.77529546048598,43.48668715881445,42.350399216267434,37.77389127908809,37.131666985691226,36.85748805055204,34.15086605134286,34.497267862467545,35.071588693782154,35.403625507020294,38.620701307124975,33.61585435837309,37.00219944594217,36.52356038157424,40.82833011452717,35.745391759353446,34.87776495928111,29.59627071649536,30.350256855884698,30.565746427575395,34.44833039567659,34.002221232131326,36.566862755110265,39.596107770380236,38.80781892285444,42.35420023501336,43.88488528306862,41.33893867841143,43.41918732527198,43.12252921975715,43.4366073104568,44.544671701481974,47.20559010670204,50.92947873062376,52.9018882191617,53.953939794160924,52.83183581674819,50.137175439616755,48.69206113078956,48.71782487794814,45.202842433226245,41.96705653133067,45.28482840383671,39.960393960013214,43.68226088817186,39.84139616828191,34.522602645509615,35.66503530009923,33.85509816235688,31.053232396432975,30.301680373007745,32.40900555257248,34.44883261377256,39.22556227587199,42.55593584937019,45.96959304066216,48.75293654852207,49.95673293214368,53.7694869843202,50.67198454234499,50.48490632524693,45.73280575132066,44.19608344845428,44.07980296374173,43.96431613819797,41.96564588999236,45.7298222185041,46.627367317367174,47.86478120426034,44.08005391281551,44.33392554174268,41.81213534167373,41.37042601908057,38.05812695531988,36.16625190766281,35.83505726725827,34.107329721050434,31.25064397867843,33.181648081061276,31.320800460018713,34.720265116561045,35.680153170414066,38.49451791904116,35.65545229355907,32.63021621595535,36.51692330487963,36.53733596690899,30.68267519170445,33.258837617620415,38.811601279508416,35.24028266162124,33.35591658921124,36.75454125654432,38.34292452386176,34.26243417537697,34.61210340476362,31.647640392988343,36.06504894768368,29.120197833851112,31.988181115778215,35.801323413081555,37.00451543259503,41.50053984736686,40.71098774899831,43.89362706876815,42.183038445257345,44.794488174817964,44.04610259304994,45.022503027476624,42.332465014119705,37.90673535335224,40.65398062265779,40.06365217592249,35.61672248384633,35.18662477424186,36.616591890358514,32.995639843159445,30.152602127165025,31.38605595232707,31.877551246445776,37.38730985583688,39.871088182194065,41.227337296781066,45.29930704672577,48.87595064575236,48.16976101074997,43.29014183636537,46.02667524057363,48.844774780129406,44.793288346455356,42.529205497218875,46.48236303415242,46.517986628097475,42.381519369829626,44.86906947618433,47.37483873121353,44.646388972407586,42.6788043702674,45.15560604750463,42.11756496632376,43.91620119145231,42.873640730209225,43.63989062358435,41.80134539309253,37.60266633157792,38.72217477627492,37.587694722080144,35.07941677242566,33.024733603154594,35.301406747853044,32.44012909220401,28.838541798110725,29.52136876525468,30.882973013281955,27.758299968844554,25.087656309888633,23.58131829299547,21.356349572904893,19.846462574992607,24.42732606901377,23.868524152856608,27.141695137038834,29.04109186505266,24.6810664619916,23.33648094797634,20.737508386604105,22.015286525249238,26.306061725473445,28.567666183387566,31.164197984078154,32.06259255778585,34.0655409784911,38.634542669770354,41.271509414174915,43.14829861435796,37.994346578442986,39.28897109696713,43.011710714093724,40.603504213276594,37.67769927873036,42.16549195814982,45.32514592249418,46.759456885011666,49.23133863168246,50.50459266899267],[33.800381087302206,32.10241608716513,31.586001577724016,29.688256908862705,29.992633718446612,35.634624395751274,36.946879454261214,41.255054991547965,42.544786246741126,42.57437894151117,46.27270832790596,48.7970949175855,45.694601100780126,44.94902022300271,49.470456780415354,49.508495652852915,45.81578290224407,48.883419481670465,48.18978751405461,49.44757208128815,51.01834503439272,52.20542871193284,52.26948857605214,49.38358343204916,47.51187008781078,45.964204241331366,44.666974245285836,43.443225646853655,46.912279780267724,48.52419750515371,53.96576001952778,53.236896974283944,57.765411835528745,59.94707669759692,56.141109958914285,53.07647455687625,51.53089620284279,48.582144029860075,45.864733523656625,48.56473254346995,44.69326846439046,48.452887042570204,51.76549470735312,49.63014772855829,49.07806464895911,46.75685722802095,50.5791990255824,51.99334258749884,47.96419245378822,50.54117380498094,54.82189935426122,55.49125727722656,58.38198906426289,54.559130965516104,57.615841410690614,61.41548183557548,59.20805378277816,57.555514908126185,62.16435870287082,63.542802363297604,59.38495429946713,62.092273471961306,62.013898580564664,61.82498456880894,57.919434450612606,56.44169375275737,54.903839353632044,54.03490077509151,51.852301412880685,52.249653040954335,50.938197002048994,53.72580724768415,55.93051740121214,57.045287222137866,57.22993844532513,62.85696653100819,59.767156501472144,63.488706892420986,60.75240808296091,59.655330662029094,57.6173329595054,54.496009063877686,53.42581139228134,51.087342276892294,47.47578504931318,49.62003300087429,52.08981749451919,55.16711351649501,55.46997502423365,60.724213752459015,59.37861207412636,63.34826916679442,61.221863900539056,60.08168906360849,55.80739641777853,57.73626031096624,53.791897526024506,55.26795848018126,52.968962307140934,54.91532244342654,53.63137613303254,51.344188625852354,50.80790323433421,47.4179355833237,45.79040248716911,41.850303054262646,41.68060410634985,37.75641532102288,35.61258639983582,39.447483895555145,36.67918022945383,37.370339110364064,38.21338780725615,36.441816603291265,39.644713794565284,37.022745271492454,39.97152560972887,38.49202118569294,43.08101789722854,44.74270716807106,42.74254034064819,41.63907123081481,37.09132617342153,36.32287300843386,35.992785194801066,32.73701227387246,32.924613573102576,33.04110224582582,32.97867679409479,35.81290364770381,30.572522780237406,33.63300191456588,33.04942743277997,37.55827540641859,32.636182103359346,32.26383015826114,26.88688637848745,28.15682483844952,28.77055851845415,32.55309121207245,32.50131113078271,34.866320337817086,37.959147737784036,37.09863403100639,40.347704045309044,42.02305285609084,39.58525943730688,41.702469200671466,41.25449872735075,41.93172847643641,42.8517963148962,45.906488401522694,49.38169126907099,51.812598116623626,52.81463375055803,51.361491778689945,48.65813521098194,46.88328922492179,46.92143496759254,43.02032363914296,39.64652301089832,43.09367208480854,37.730354450464645,41.18179014954151,37.06516125332582,31.85954138459164,32.50454874143225,30.54972690372995,27.647662270618298,27.37686619131989,29.40589766484667,31.86437594018634,36.425968225594765,39.80592357151363,43.352570056154036,46.154135526154725,47.72278469721046,51.19754823554254,47.97071401814779,47.57928735184475,42.7318796595364,41.31026920043275,40.74515898449678,40.42000614756134,38.625871075360706,42.52407063285969,43.74945883686752,44.66057477636514,41.011764136326384,40.922169501518745,38.248418184723434,37.79245094977028,34.31035140275546,32.44601628752911,32.020507998210945,30.17747585258421,27.666007787217847,29.620643735257804,28.085037831928027,31.78177056429613,32.737459131028075,35.85583146994109,33.22514817527661,30.206249011956412,34.170806593931424,34.60854427580389,28.99600197604644,31.455808358695204,37.10398485434782,34.06687163473922,32.322882750847114,35.71278428434482,37.5244644036283,33.85873390661513,34.2005205140863,30.992817442104535,35.254135862633845,27.990296592093316,30.45129428891801,34.284847582371825,35.006418353800704,39.71639709160301,38.379191372842534,41.3416488366489,39.39348996740486,41.74792720485333,40.927253446681306,41.585107006318566,39.057594908160816,34.71525674672096,37.15513474012932,36.37400842156459,32.07770699517467,31.585825866429502,32.68359518332887,29.09311471589353,26.528949925531847,27.5358892415072,28.54216538878687,33.94912994942063,36.38448094908522,38.09591959785155,42.16352968068794,45.909806022551784,45.27496263479671,40.44438489309665,43.450187762415474,46.376360518888504,42.42603383408458,40.32325738744785,44.49758029268899,44.765073938119855,40.74777100426304,43.114075342073534,45.87217624713749,43.49168273195281,41.40470793639802,43.71820874145144,40.49046453130782,41.89146972993716,40.54959515108354,41.08414172959772,39.655292123448014,35.522201995396216,36.094613346303326,35.1096487483341,32.894358896257565,30.41476123460092,32.38095917293017,29.987385831130506,26.460230592492884,26.48781103880128,27.864380264825602,25.246000652018594,22.6568156215171,21.664834200821783,19.514127864904143,18.779447677894577,23.493237736557987,23.237506956018162,25.954958637978372,28.249255762685312,24.31576743617319,22.357939099047304,19.36929386635829,20.09012741009391,24.000709240124873,26.482205604019256,28.565245585355,29.882005797243025,32.31091739886713,36.70194594534719,39.476551608687004,41.44027115617208,36.51941898970686,38.063117561092184,41.90288413186067,39.57453573976683,37.03818844200325,41.563312096570165,44.88947508374214,46.17686092692566,48.64482271711999,49.833204437475366],[30.361967013372166,28.483393492739694,27.722089188381506,25.926365477138482,26.001112276923116,31.748012207267333,33.06896058792261,37.32002939022394,38.755175429156786,38.90472703141155,42.63378136087915,45.026361764033766,42.009462381534824,41.442866816711785,45.963877489435,45.93453395618355,42.371005915922495,45.60099011784035,45.201597083141266,46.37817403933394,48.18415370413522,49.426685027397504,49.71722314602105,46.993715607701596,44.88172278165735,43.19517618641869,41.65252883141887,40.2413684627957,43.54881744595741,44.96435035446078,50.504652789566016,49.571764953645065,54.09760772731527,56.40438778828686,52.60192131357861,49.666778355704764,47.969495872969965,45.28408733923058,42.628246195417006,45.45931323055788,41.81085338064435,45.52918505076311,48.9246807252535,46.8087219609281,46.52115679336343,44.26995386553608,48.20034920707044,49.35305355851258,45.20338688980408,47.97924363882916,52.1227592632352,52.67109538605891,55.505640031361466,51.66601842348279,54.50859378319446,58.44816444771977,56.389652637677166,54.544640377059935,59.106190117769486,60.70861190735875,56.562163187913114,59.22515382953502,58.9933833545676,59.04656199791944,55.147084006888115,53.465581388846516,52.01171552698807,50.932801543047475,48.888141161475,49.11363107638319,47.951581485561356,50.85448773197468,52.89333090025418,54.124933653981174,54.06784819108957,59.73002487004839,56.61694184051709,60.21863567313613,57.48310972743128,56.4711691268149,54.268213978376025,51.224955541377874,49.93105931937696,47.69579001462698,44.172706398706026,46.20751896149172,48.82307062747761,51.702846595632835,52.17239861114004,57.29667160700896,56.023827557170534,60.04566854469555,57.829893716182,56.56292273306292,52.26160402426585,54.20549828630483,50.25099593448968,51.56309253892432,49.17634832579099,50.995756988007045,49.78527197761945,47.3830183797785,46.96965647157801,43.48715894256175,41.97689884833354,37.93533751137129,37.77897450280195,33.90006066514703,31.633776983107495,35.438603722639456,32.63422641978095,33.42780764857729,34.3086481232949,32.68370814136105,36.04495386921728,33.58638489533058,36.6832016776252,35.56722430622054,40.23005569865769,41.60324110422853,39.63772562193504,38.35812905532408,33.88244141348703,32.87738339796199,32.34093446698045,28.99959120027776,28.944105814301896,29.10767770179766,29.023685161308936,31.982214669865005,26.761174182295733,29.950711837995303,29.553183512232366,33.94082531605859,29.063589829602225,28.57225278624096,23.142046156477587,24.573174022462183,25.386110516804653,29.18322139946813,29.55191619224629,32.17993889958373,35.0570125009368,33.936929371188704,37.19075663483984,38.647514053450635,36.118879227685596,38.04492195305883,37.448215872653,38.05802684564797,38.8624260647754,41.93954534852201,45.352737215332155,47.822705650627775,48.85903993876989,47.39274325848332,44.7527950078543,42.9226288378043,43.08522357495219,39.136343236004144,35.93107780538507,39.5467488951718,34.339543337519586,37.885355975060065,33.9484359451272,28.891794036884225,29.497357286105224,27.9310493042108,24.752435210652763,24.292339005973243,26.100557839630337,28.480014759333947,33.029389126225404,36.29786874544022,39.78793805072994,42.46078423130707,44.02688589817038,47.51352439013547,44.44865885950931,44.010984547793115,39.321797729954,37.62524074336292,37.299560834328254,37.1912994047816,35.389043705193906,39.47542636582258,40.71776649945793,41.89800549320727,38.530536818816365,38.35067402091089,35.717481178645386,34.98237036665492,31.483656545696906,29.385179787626473,28.851523438987144,26.989932474935173,24.143931115464273,26.036764243324445,24.332568139241825,27.885412983153113,28.960912398037372,31.938866667935205,29.22043527394171,26.3106185455467,30.35133439236695,30.653117863201945,25.074349117405074,27.703335920659562,33.313797534386595,30.237172853493483,28.649599864758624,32.12932152216635,33.8195931689736,30.284574647717932,30.85039735241074,27.606610823193368,32.01032861783562,24.932925499514713,27.111606827423348,31.063519809410955,31.998729672510397,36.79904946100268,35.55827249550491,38.31657121433585,36.20883802050641,38.528718454597886,37.48325341144508,38.42136008358898,36.03663129226446,31.372446168302098,33.863498073116425,33.4909234983075,29.08376860156791,28.338546512523212,29.677194313433983,26.398901762931658,23.488186634018486,24.275422486500382,24.97540457909988,30.324296428033165,32.86585055541692,34.466259025984535,38.46663094035355,42.21972393464196,41.43911651037027,36.6064528062275,39.662201399362566,42.47880160888137,38.45447944224854,36.42606996849843,40.6177602096614,40.83338083138165,36.85410426610491,39.35744990575668,42.09601579868823,39.69526802857522,37.74677005053107,40.15349683019035,36.94427723880337,38.335144867131504,36.87846941926841,37.61751021022054,36.29201762591395,31.932187127552847,32.59635368339458,31.87542376479671,29.576320478158156,26.922249683774165,29.31832330949775,27.12473059198826,23.197017501916722,23.276476268347277,25.21833082679207,22.68609251267178,19.728313134969017,18.330753838286018,16.892052310476892,15.873586322986279,20.652726066257358,19.9513008912183,22.354204598673146,24.525762015853203,20.77706207991848,18.620758534689955,15.695605777594919,16.17647813899788,20.12828185298197,22.431242535703735,24.563906437809973,25.840579015104844,28.25569517028774,32.63864554878602,35.440042382578596,37.375825100049816,32.47487163772944,34.08668879055571,37.91849792746729,35.598866318101564,33.16726146945639,37.71479965120044,41.061858955324055,42.29522016869696,44.76511113250094,45.942281423568595],[28.107393806393144,25.84737859590496,24.48750150991508,22.606216725340488,21.962592705567634,27.963811712660526,28.990063947797168,33.13742287611042,34.75437638384707,34.80126668600395,38.56332183039174,40.82503901344703,37.671588981984705,37.3594885220698,41.76365939249733,41.571413911385065,38.040630745268,41.30887998040193,41.09210388575444,42.081976361835835,44.04939191467136,45.24355300892507,45.744332976269014,43.1613119827219,40.83248678943269,39.12840858845945,37.36146712463253,35.90188861526424,39.1140408392683,40.43345426075148,46.12010791535765,45.029034129580204,49.5746273039002,51.8720464999222,48.020700489815745,45.15009137294535,43.33281924788542,40.74465690167085,38.089055753592284,40.93006886361138,37.469517728605986,41.20832506774665,44.61246783377061,42.47821549267712,42.383244073907925,40.18106747664972,44.184972290844414,45.130641567725384,40.89696552730632,43.82132103915159,47.845172743766355,48.31832807631658,51.101515615716856,47.25605618605321,49.959204280029184,53.97782806921819,52.0273363135205,50.07856163008331,54.60192174798354,56.340797235202736,52.24406744480141,54.92219117328961,54.62482108675465,54.87714388465807,50.94461408842189,49.13476852443823,47.86301517955429,46.68611536078603,44.863229232305144,45.05666724623644,44.0666159034686,47.125425952834526,48.930236105687094,50.12840604495457,49.84974987705559,55.466463989660866,52.243317735245704,55.7550883470258,52.96357276319142,51.94659318050044,49.63493674076831,46.60205763321712,45.21323002546805,43.010158565394434,39.529028201576686,41.53891862421226,44.252133848728754,47.04535880689202,47.656368259468536,52.7404809679091,51.58741331075314,55.691897324584694,53.49007625698991,52.18181495096176,47.926282280603225,49.98911449891806,46.097004027878036,47.1752947831405,44.78624093561992,46.60698501295818,45.21109503102112,42.794768075997865,42.27219181226528,38.81187795337984,37.25820984522445,33.25782351568877,33.215604695824965,29.349133073349503,27.15165222686002,30.91961451337977,28.183421915338457,28.807358130659466,29.859136365409835,28.17370722317258,31.69530775134434,29.305173129611934,32.43498078798357,31.591387322243193,36.28711147982092,37.47939155076814,35.670706192411195,34.338439451911604,29.950563765565416,28.802838688882062,28.216669988618193,24.593513691855602,24.580988106972054,24.49917809669949,24.38321084522025,27.279501124996532,22.14528902128913,25.482833160680933,25.01351132014522,29.30747845447109,24.36741505419527,23.821931032078222,18.400714887320678,19.9341816261393,20.972000320842035,24.699422577378456,25.46494068561168,28.196997011376382,30.905854983894013,29.59929801643069,32.75662286925577,34.12685267165952,31.599604335472897,33.474330194384926,32.82096683227359,33.58483603523032,34.395275333507016,37.64792853433508,41.02355278604285,43.74821122465458,44.63246637089452,42.98132253606294,40.28756776873692,38.370088352073296,38.47427957680696,34.44908842450529,31.201442487086464,34.87392559675564,29.734787212650698,33.275470410372066,29.429696861723027,24.510947299806958,25.068239452011372,23.827025678586697,20.466290507131262,19.83697499420995,21.490863505340197,23.83794884717588,28.355171133424225,31.57691794909039,35.052890907276826,37.704917447840565,39.30679521267595,42.75973800583645,39.72015417812109,39.27874978363341,34.640101077361216,32.884339620265905,32.6760073803032,32.69690810868194,30.83144362552611,34.989932124404696,36.230636858897704,37.59903552379919,34.46328506462939,34.22918853194462,31.669139732790644,30.73107439030654,27.29030156899429,25.0641289960863,24.56849579446498,22.887609235848377,19.77912339476952,21.884156696200286,20.328719988826155,23.678215918450498,25.24172268539494,28.024779996963847,25.149743459073235,22.705768882264216,26.960460996314694,27.064803254783637,21.737653473774888,24.757848014803937,30.232758888210984,27.182107375829357,26.03540717750965,29.672665377711915,31.071484361134274,27.87595581153977,28.939158054881826,25.672063229845115,30.255294762471944,23.603150521445794,25.121170990644156,29.210755074158474,30.311723690330474,35.24661030890522,33.951853709116946,36.24727854906209,33.77635147974725,35.84345138379087,34.32917457394794,35.52325933361899,33.55008813914763,28.431573106362634,30.70129201204272,30.898553415756748,26.51853906065165,25.2232692576768,26.596739371910395,24.01322051647229,20.860162990488956,20.74177893863159,21.4603710303081,26.374794173499765,29.17702378760219,30.906878628529117,34.68947335516625,38.60460603633374,37.4785845750522,32.72349754325375,36.122024494223936,38.697498251880944,34.51683573262262,32.84030627856852,37.15237358500247,37.30365840042669,33.495272251968714,36.2854584179942,39.03006225168486,36.65485099397231,35.027845107704636,37.56925860908452,34.37773517849639,35.594114397565434,33.7801068127408,34.79890806188461,33.88196187005432,29.176218044001676,29.734661782235733,29.597408833925556,27.33400916179877,24.176480668131024,27.121216476582898,25.569888169705006,21.114476542343734,20.877860506369384,23.720274159961306,21.6938596312305,18.3424763229902,16.509321730352127,16.41189311617001,15.202635790085862,19.87755894381363,18.43348132091519,20.021347203054532,21.83353280198334,18.60529944610619,16.033898093748995,13.392801557842683,12.943597530716653,16.751588888090552,18.430082425127424,20.309196924388058,21.400824766920127,24.2949039986659,28.53616466861026,31.54216800720527,33.241919566160576,28.458353042264893,30.484019232903453,34.19941642404067,31.68968245443079,29.754377831343678,34.39107498105468,37.710380113761694,38.72559289523927,41.21477381366053,42.41547880110039],[31.33279078871597,29.270778229920392,27.92101879590099,26.922690834902884,26.026172219339795,32.21868872859034,33.43158173766692,37.35810292337407,39.354776455143536,39.602762064016694,43.38738175698807,45.40384357534269,42.294690638511454,42.299578821913,46.59615607319719,46.208659026455464,42.744158521021966,45.97932764313444,45.781629912734644,46.46726892564439,48.40691954067713,49.29163285484246,49.86428717591607,47.22304625881797,44.88726160801718,43.5082540502873,41.64150828099475,40.39609099317836,43.56653058076138,44.77804416313413,50.707420683829895,49.32128187145431,53.88271070234135,56.16172441741091,52.19025136611641,49.41308829158768,47.342810866660166,44.75897706577398,41.939954259441215,44.21479279767522,41.046592436685955,45.12466155109781,48.25810912219381,45.81329721651685,45.51953054470866,42.96437226752305,46.819821676224734,48.07229111210723,43.71232566614702,46.10307151162511,50.3519593559228,50.6422466723877,53.657436840113114,50.24028584460006,52.90991746945626,56.89034961382506,55.10947715514873,53.476118508371634,57.96265709337238,59.57055470689891,55.81733387989146,58.78270461948382,58.667966625069454,59.010787485223815,54.91783377866423,53.20281528800055,52.309911425721914,51.245005770120706,49.67334787535165,49.97083708369275,49.087756566580126,52.224553172237165,53.89144394619587,54.934442072116326,54.53083074693032,60.008828221930976,56.54673249677045,59.974994146610804,56.98429811503226,55.72310984605419,53.251093345823776,49.94351170985911,48.48508569405388,45.974646163335244,42.693210806288754,45.09067506109513,48.02358494854961,50.81178977802537,51.75648516773818,56.876774249455146,55.99257474671156,60.22796542026297,58.10642470428481,56.75936564096049,52.57863305703788,54.76319281837427,50.9289753521357,51.67406646222236,49.1862645334065,50.7163580025807,49.24619345762321,46.43201007297149,45.913419236524255,42.1125051176656,40.068605794980094,36.215813988996615,35.55692114163662,31.552164867754072,29.690065736428334,33.74275750354732,31.531422839079585,32.53544885905955,34.07292647251049,32.58199612777309,36.399118277061966,34.12072795784085,37.2107488233027,36.43325352838199,41.082206241799184,42.31580440023827,40.69056658422239,39.3789080358994,35.065206362690745,33.82473240747409,33.085219214417044,29.20837011142767,28.660659154428096,28.35520278665825,27.66223546271003,30.123715225663194,24.569242979964677,27.16826999616999,26.865292180401536,31.471356124423963,27.03722013975965,27.274522521387567,21.80107269556496,24.10079803014139,25.540137897399656,29.07305169199053,30.072836620566445,32.49000529126342,35.316871861335635,34.03394281816991,36.86503717622187,38.37016065238408,35.965931841522654,37.77192729524463,36.87491364302882,37.81498781459632,38.222650126385574,41.69070811258066,44.67179614186952,47.58326598795359,48.68951156753732,46.91499675625441,44.39812441691192,42.14410541493164,42.481077442371,38.048383162515414,34.8839954089886,38.742218135904864,33.672046239169546,36.83825799358646,32.664601287301075,27.953483581475833,27.759686516223454,26.151286388087644,22.762813699523544,23.04618187984466,24.54381657555074,27.461447605499828,31.576750083232728,34.788681770039396,38.38388668773543,40.945415953844964,42.99527394953923,45.99299570412268,42.89875739300478,42.12237669282025,37.45275506132708,35.732179848363494,34.85748109514927,34.53500431712044,33.12000432483517,37.48692185697238,39.218044545140295,39.997344142720365,36.96736555385518,36.23388698288454,33.400994778404275,32.52616492188685,28.74874704113445,26.58588596454368,25.749804789299755,23.545046128819834,21.187861736700057,22.84185994755004,21.433116260784093,25.4223259446092,26.191766574597708,29.618249622502127,27.335716699323577,24.261586390718858,28.20475256324959,29.180308433711204,24.03117469144819,26.209368628873428,31.846630112810246,29.615109118604263,28.09284804105936,31.368516467161644,33.449145634526424,30.48041019579283,30.803388990396343,27.361536189354535,31.307833674560303,23.954218964298466,25.67100650338891,29.472656916464402,29.70565149660877,34.64155185166376,32.756079875060806,35.31551885863927,33.04462623084684,35.110141027357294,34.14675124158357,34.63176807356172,32.322470164159995,27.94238374775682,30.130681427414228,29.377052870859135,25.16514896847393,24.531196631335515,25.516621804741046,22.08212121884943,19.56119416215496,20.43510708677438,21.681571393755302,27.054467589014394,29.377342345519253,31.309111154748404,35.36766656057361,39.209597221638006,38.69636378932967,33.93222224998651,37.12351936588215,40.16453206595857,36.40658711645111,34.4409863146904,38.806220876912015,39.36524150512371,35.537918686852315,37.69701239302114,40.72815257876191,38.83607298460067,36.62193012699776,38.707721071827116,35.30068407216981,36.20570996819567,34.51711816020074,34.84665473538951,33.927160557875204,29.858552174776367,29.825167348486538,29.12564648994933,27.251230432487855,24.255464771512383,26.034813864481805,24.333956313906842,20.76973911219659,20.03595118571117,21.745700119824036,19.853860378738514,17.221843959857946,16.793567148888027,15.28211222430176,15.566132469860701,20.069374611705655,20.091386868916153,21.78473907523801,24.568581928076966,21.50391638902587,18.78909657161284,15.455288760900546,15.354252446715712,18.433806654856117,21.260909309276073,22.692199485576175,24.72541716649564,27.328873447863067,31.41337047634917,34.22020407045632,36.409989072703006,31.89482156329632,33.563976243985195,37.552521477891815,35.55919990746433,33.45606433860747,37.87705011721321,41.40097101199242,42.52923476838553,44.91495586706126,45.93265896326027],[29.865746508363177,27.464095894476806,25.453941950924477,24.65867095421814,22.848321821812398,29.297214095300475,30.21007289148176,33.89695433199848,36.20624501187018,36.40066702057083,40.19325467746575,41.96916321090442,38.74576549635776,39.14175931901022,43.23833616402882,42.60929342862073,39.23632326411766,42.48864572344465,42.520206563109426,42.89762105402951,45.01379527493282,45.75355548621184,46.59501921639673,44.119185217762656,41.53773094860049,40.23604797748846,38.083979231254446,36.84811306119663,39.859914818551296,40.90856407182854,47.04783743918301,45.39176319840763,49.9591678066057,52.21925528863626,48.173503522439574,45.51765125228457,43.23320566236357,40.79304660870372,37.942798200881704,40.047254890795216,37.224737644877365,41.40432334086606,44.45587208663802,41.913348694428166,41.80354795221296,39.22002900564866,43.112458259338815,44.191855162356696,39.704723982331835,42.12304660010079,46.273547050042346,46.41608783840436,49.42474488028611,46.12069750266146,48.605002695194074,52.66955963790774,51.072076614840086,49.398633427866116,53.81806062542701,55.55789545609882,51.96140193780901,55.007202512176576,54.85966658236637,55.46202841754994,51.30963531450429,49.470594391310875,48.89966400150751,47.74987463318902,46.51249426931214,46.7910456226847,46.14145235118767,49.454456845082966,50.80666632316811,51.772491850305045,51.07929414638368,56.44456772106628,52.807990446035504,56.09224268683743,52.99361211374605,51.66654016735666,49.01954879489174,45.65568696777279,44.05471139632259,41.497283965374756,38.341888681202825,40.81936613225894,43.93167441847652,46.59573495278608,47.81028326697281,52.86808320002629,52.202163846557,56.55120454348191,54.47246481132807,53.0668268764008,48.97828066751487,51.320308833254764,47.592947709780034,47.96783589120661,45.45820001287434,46.89376796796287,45.19419071753927,42.248290336880565,41.60846529351283,37.734199415288046,35.484109600548436,31.738085949760453,31.00991647075223,26.966289976199707,25.321003945256507,29.42295552306024,27.497313838089237,28.423735181740653,30.329321050989268,28.859154096247597,32.9254337616776,30.80324706413201,33.88676235854809,33.465153573428964,38.08828994616188,39.10341085008872,37.725524873340554,36.367069247030976,32.23639886850419,30.812677323388527,29.9678008911928,25.73849760370314,25.03932534368499,24.348570171880326,23.38597892498137,25.584574753255538,19.983498493049783,22.48673583933868,22.161839277406482,26.774233145027257,22.46005534938175,22.947225166913885,17.51847144849494,20.27574305234864,22.1315603231551,25.450521819085143,27.02547872716506,29.425188749800274,32.03536646633343,30.545582241244627,33.120317522453895,34.53829123570467,32.1951582821725,33.88827531801377,32.84100851837166,34.01344309462863,34.28723464463899,38.009013073426594,40.80591111970617,44.0544426933795,45.04440306188189,43.02910095950238,40.51920603430429,38.06628871549762,38.412067818321425,33.77438235983376,30.614038662315867,34.59113256865039,29.676613174418137,32.687614042900044,28.54784781492159,24.145998625247135,23.587878507909387,22.297357729304597,18.64683516998565,19.09677207278561,20.282465373716875,23.365904584465206,27.244100573150686,30.371586132914434,33.97561231209298,36.46486383335479,38.69792977079236,41.50097013038353,38.43458603453459,37.54402466791374,32.94184790978471,31.14653559848044,30.19538273560007,29.92828404992957,28.59582051297185,33.136738143833774,35.02950884746583,35.86539119314045,33.174367629887506,32.20844743700721,29.37519461742969,28.246626169549646,24.410960629815214,22.073159351764726,21.1371562658819,18.933014550147625,16.485358889024322,18.26210309083983,17.12922633936844,21.11455930455446,22.254744708897096,25.653318009493514,23.38707579402859,20.71758699930493,24.816826665375785,25.826323633107144,21.120401044089586,23.485196944936185,28.954040605969457,27.024530743131834,25.942367722899917,29.265842212605005,31.16799483032415,28.69370057423414,29.388747700617614,25.9237282682284,29.866619792316122,22.945173692372716,23.884585697492245,27.733428570335885,27.94418249319111,33.005844793338106,30.929254360479646,32.963442401453214,30.282668978901793,32.015373022626385,30.601063936682,31.208840339832538,29.342431033806623,24.57650393355366,26.440549526337865,26.1638712417761,22.033898977881897,20.832893781232404,21.733644486689652,18.99735504769424,16.325471235857147,16.208374550133883,17.731358955009828,22.692992230410972,25.22049151100002,27.407513041230562,31.276958614238104,35.31426252606611,34.54763887442698,29.874544125792497,33.443886216429135,36.320169327676055,32.500991455260966,30.89602836162483,35.415248524133936,36.01287014910377,32.40816319670672,34.72446231574235,37.829101720200235,36.112570220407186,34.134972678070405,36.24799230754759,32.823155444962644,33.42232232449676,31.325727880691282,31.808381473372563,31.408971967697493,27.106786611084132,26.753933676376814,26.65112791732264,24.94841802000576,21.354682915417005,23.499025831758786,22.629254156672307,18.667206874455022,17.324072106468535,19.937207464085734,18.793514119388934,15.898088700701846,15.32942804337523,15.201630308494119,15.573539115645907,19.756684266101093,19.28155696260785,19.998144492202346,22.58717541827716,20.25063129242369,17.103012697601702,14.027540776879345,12.85891880923396,15.320751896854716,17.728090228591782,18.594898397777364,20.760308750321368,23.84587312715203,27.651956528146684,30.628732717921764,32.672781764783586,28.428508535087676,30.46823898272874,34.36384065831173,32.32638558692278,30.77843087761719,35.18441366901255,38.70844562024561,39.61358219072435,41.9825641154054,42.964307047485086],[33.04099142129457,30.5027990932908,28.434918952784642,26.722578472594478,24.839296308997817,31.19489042635089,31.556522153235708,35.37433673800688,37.30969789595335,36.870459297029406,40.61752073765603,42.711620221627776,38.97389550898026,39.07216328259951,43.04067092718171,42.43993753750321,38.67146701936439,41.500039174633834,40.90838236680528,41.35238724024402,43.03836014485908,43.65619692967744,44.1427685832969,41.410239886126334,39.15990501069671,38.1167255799976,36.37662008010193,35.562743365503074,38.972450698747146,40.544926242968614,46.51815510762015,45.37139818187714,49.97200174153061,51.83621966830899,47.74828261530423,44.74263991096007,42.85319912518608,39.715435788448964,36.72165357757741,38.68345383143003,35.29770447515829,39.54141184591173,42.49090768936421,39.96530184843125,39.431001324831676,36.82772759070609,40.62640265836445,42.05113544043217,37.81759909778169,40.12132258342103,44.44509170478639,44.92377711235386,47.935333433038075,44.46639439963221,47.42136061749546,51.21882190364127,49.250359574725856,47.846712413621965,52.40114401179194,53.74523904020713,50.02286565198886,53.12947522935988,53.25663776452614,53.42974883993061,49.23893221881786,47.755967715717155,47.07255990995984,46.34709126015029,44.95314292237951,45.66066412267481,44.79812398512177,48.01309725064025,49.53736435679593,50.16366159051848,49.87524632227564,55.136384802815975,51.47222387550521,55.01913548697098,51.900502634134725,50.40385930996616,48.15632715671256,44.678377991412596,43.670667301548754,40.96801022497473,37.48551707469686,40.110830285047484,42.82472309441262,45.98692252194969,46.76173894222734,52.15399240962348,51.345188082575326,55.62957120175286,53.80504825078976,52.734297307332554,48.768243230058836,51.210488000118175,47.5855170847178,48.235600535053884,46.04239986421002,48.01157196407127,45.82191876523061,43.42893235709,42.205554362034306,38.86441503361282,36.409916410330126,33.03092840099319,32.77528482955042,28.73559937958895,27.47307872828409,31.390081463187872,29.434264050065135,29.527155273157177,31.310888683833365,29.15738981715932,32.8110510782318,30.20210369460201,32.89075109511531,31.724141990444558,36.237735583679935,37.8523493750817,36.53935631667433,35.62825894035821,31.341589312709804,30.483220790768698,30.298162196112855,26.0434486499723,26.515920916850245,25.42242142735695,24.82017240126839,26.674564130640633,21.457365263050406,24.102055220502425,22.843880935807796,27.55178220790849,22.699915868863293,23.124858337012988,17.99151480856375,19.872771432987722,21.162858158500036,24.43382850877522,25.147976038020758,27.0428632115929,30.06979835077259,29.094570900212087,31.65992634299172,33.61304417158382,31.50996707748865,33.79455505560466,33.27506522476744,34.83178350257491,35.69743460462404,39.498361142274945,42.62054012251785,46.037546530954415,46.56704033349286,44.3672578856791,41.49023786933546,39.25281845828313,38.97768968474849,34.596622515820535,30.759056545137955,34.159037306665965,28.77622081535575,31.643458601738928,27.150978028108785,22.261565011365985,22.123217584837796,20.096224336284635,17.061829384574903,17.49971740076873,19.405366640733543,22.4834823503864,26.576391843486363,30.038763415740164,33.75804884337392,36.69439142769328,38.77300902259946,41.69467218615098,38.16051026888119,37.58588680623238,32.53661389485233,31.590680389702854,30.34163331493836,29.705005264903683,28.03941607594047,31.972462427765368,33.583242734405985,34.135023754349085,30.810794390590914,30.275608487857813,27.505242418464196,26.963085321922424,23.380413984803237,21.62871476701836,21.378545351994507,19.892296880748027,17.904314760017936,20.54371174954141,20.215536055331086,23.936944325042422,25.832435683045727,28.988665194275583,26.474442833639113,24.49314220478334,28.775220467509236,29.427477201319245,24.840676972060475,27.673960932505473,32.99700345964812,30.73469368972945,29.93927582776248,33.44750364340572,34.9579153256657,32.36021315427836,33.477775535828215,30.101800250272564,34.333535849563106,27.603932906777285,28.52614345232431,32.449481739923726,32.784595305535575,37.84450338127013,35.72609482096911,37.59761543568524,34.755928315026466,36.23537380632459,34.51346139095214,35.02579497955374,33.52441197436992,28.673259268517302,30.084092555516182,29.90909489389802,26.05387243346437,24.49491149869797,24.842533623732074,22.624716799838282,20.37106078331586,19.088975315728224,21.397015118643697,25.553631263930082,28.370302174428865,30.99070381005173,34.55798563779891,38.84149127342908,37.66607000790722,33.16734454744069,37.17810339355062,39.75117301745892,35.73111544024673,34.579658318836785,39.16325805655728,39.596486064906976,36.13596540688632,38.79443666728138,41.80525159016447,39.91290689213756,38.29283118446181,40.58688687652405,37.23371196120758,37.80705930312035,35.49010385294175,36.14303963875571,35.99429785794614,31.515244888136387,31.09817608027638,31.30349245108014,29.64108415348558,25.835202892216408,28.087955950817044,27.48288143250328,23.451838999902385,21.913942065497874,24.627164537894508,23.673471517368053,20.799982048377593,20.005037104818598,19.920260950444302,19.87066770952737,24.293102103333265,23.339548880711572,24.155933847040853,26.169368962630095,23.638328967673623,20.652933679300155,17.9477878805991,16.581435841804264,19.295788482077853,20.773703754232972,21.394533655851887,22.821027791033238,26.734282476145825,30.42644171682822,33.69686458913491,35.199076673467246,30.947662220212113,33.53979089208577,37.143591597451845,34.531403678177796,33.44489064315874,38.05485997325015,41.36485409716798,42.05277963636366,44.48721888388342,45.63418585358834],[29.112717692630152,26.314454422696144,23.84152556318711,22.001294423668632,19.613896409283715,26.002932032900446,26.182178301690136,29.928189206851595,31.949210515644776,31.554710733276384,35.31342817657438,37.2943428986209,33.62669006631297,33.89478141119002,37.85885982400112,37.215279775036905,33.60143057765498,36.652011472248454,36.46750258274432,36.89512159758067,38.92149387022966,39.73092808701172,40.5092957872981,38.04524950715434,35.4648536883144,34.1053585798353,32.04564810724391,30.889053397631134,34.07756220406315,35.41491417754115,41.44952041530053,40.125976310908534,44.72329950634171,46.75825487058503,42.71163218790751,39.84778866578736,37.83210624540225,35.05752780230789,32.20754299206786,34.58155146716792,31.420895733067326,35.466074894992325,38.636118185602136,36.265547493274795,36.201887855102285,33.859544916173014,37.86378259350686,38.77434992865522,34.423281157885306,37.24002849617673,41.256556432209464,41.63566504647445,44.46895304404932,40.79915473116983,43.457418080053856,47.46662670734036,45.643541210013694,43.844842765733716,48.33891242391685,50.04776204827011,46.211948302138154,49.136935032573824,48.982500609335766,49.44911120969559,45.3382105336766,43.537196021005336,42.830092114093766,41.775868153153425,40.49129434886128,40.931831942277384,40.243814832164354,43.57496283240237,44.91262059876442,45.742598702689634,45.17445573783623,50.52787808360046,46.92206365343586,50.33667417201189,47.2930292557036,46.0069979541581,43.58799613852391,40.320506327912305,39.016014437797814,36.574726811769416,33.132835189459186,35.45601819514363,38.304592156484595,41.19417902686768,42.081551630313974,47.28650296516821,46.47865052153239,50.784829291471084,48.815758992070194,47.59246854269977,43.57021901265494,45.995511309604986,42.353124182323654,42.884726797084525,40.61890575378759,42.532720149791004,40.43156037796104,38.02911418090045,36.943005207670765,33.59731814716343,31.459064942581957,27.884048190485398,27.90634058692064,23.962165362525855,22.448586070264035,26.22128934010237,24.07352729512729,24.083065583829455,25.822230897288986,23.75725092318316,27.55770266049252,25.149018413514842,28.032873612699383,27.385884458696093,31.987028801743442,33.16771928817887,31.872687856590744,30.73145944340249,26.57683146687502,25.427155099389328,25.036878819585137,20.66809274066114,21.058702094075205,19.94330757940128,19.480225720025917,21.622109589387843,16.582108976299875,19.770852451402003,18.673870762792202,23.08766268647313,18.025465692920832,17.976270599520717,12.714136724507915,14.655731342917097,16.219049833314997,19.54448394821102,20.909882148145744,23.27847270459257,25.89333248798914,24.511063491412322,27.17344480194764,28.75920303434536,26.488065833318675,28.53559397489982,27.894123884215606,29.358978771889564,30.2229307924971,34.01809784040698,37.183714029821836,40.6287536906935,41.09211735757552,38.88665976189543,36.01649365838084,33.807215120379425,33.59338017294081,29.261603469295995,25.5811090671781,29.174420385637244,23.972126286423567,27.12697675930334,23.02500418915972,18.315364979138845,18.39898948774179,17.270421082061798,13.738160139234326,13.40627344198654,14.967577429831806,17.74174549189926,21.996332963421093,25.31799529279777,28.934799510420362,31.740419766521164,33.66414004167543,36.78127847757922,33.481267356055255,32.96771081795494,28.139406804918448,26.766481558494878,26.14165229038343,25.990595238712682,24.110690826005886,28.268260012217596,29.709284785021804,30.921759913047502,28.014639897523832,27.544882924525687,24.979456564614566,23.951414303526636,20.522871421075216,18.34058010180341,18.074033977597274,16.846942139166732,13.93423280700868,16.767235558126707,16.265619572853726,19.432428872245033,21.939048785175427,24.58966431171323,21.741834872432797,20.356267221995516,24.802864238331395,24.938658790778003,20.59229538221973,23.910649869797876,28.946077058972026,26.457944816970553,26.11953528183434,29.757624012076647,30.810410916144903,28.463016466899443,30.116811423991773,26.887215104696836,31.330741519724032,25.373761208047657,25.737145215683157,29.753323780810845,30.60779497507631,35.645437883932416,33.88163235235622,35.35071328053955,32.27451745036155,33.66105066144693,31.433290259895433,32.58331851119587,31.443887993714284,25.972268479104983,27.410401792285494,28.18855010374364,24.239242485183762,22.060515139122074,22.88056051255654,21.573220556440102,18.708894634601236,16.53813049212126,18.199800322957344,21.864104554955667,25.03857584751398,27.44058899016181,30.742068973745663,35.05560623895715,33.42412419619487,28.969216767259415,33.15581088331407,35.36726285257964,31.09953514345929,30.240610614736376,34.80215239014972,35.01887998255741,31.695653314277923,34.74364228133066,37.596516148104584,35.55488946961025,34.37359199209615,36.90293025404265,33.70829372776628,34.33092438402584,31.80939987669369,32.97684021128918,33.01672591866736,28.107939540173835,27.971820921525776,28.781823576665598,26.959555125521806,22.907926970425287,26.084076608548777,25.88589401992898,21.226918107956212,19.87882573760719,23.65346461117465,22.874148079918065,19.531658177995965,17.907033087105994,19.27299262940898,18.583088835812884,22.6654956995475,20.787592065919636,20.89133395129326,22.25442001593329,20.26713088268946,17.18883551480795,15.170757591519282,13.022842195368098,15.524200336274506,15.995166050293305,16.567486042665134,17.510296405320418,21.74247907773496,25.34793937644001,28.755339677100356,29.97167132797873,25.742250111633975,28.64306982042525,32.05863821250925,29.258380678473113,28.537209495906566,33.17452047517194,36.38630067605564,36.91593847306101,39.3690374162298,40.55884224264226],[28.164016260108962,25.42061118046911,23.38458033370799,20.463570042287174,18.950836987455677,24.84837281153157,24.945332138179825,29.062558158331946,30.42040307152453,29.753701038442056,33.46786131099685,35.90196117567934,32.20161831877222,31.824868410949673,36.009851082530275,35.73710675919598,31.93494177876348,34.93518317772588,34.46831080185815,35.44026990883969,37.29955541323484,38.50837932370586,38.96619701072666,36.40604969324465,34.06718257548861,32.354432251606305,30.67751975868637,29.35834482837541,32.760536354062275,34.399094470782266,39.998995136440996,39.235761277461485,43.80107420971619,45.80653545934095,41.93695376002791,38.855297129116046,37.30865252404729,34.343846636696746,31.681654802966808,34.71286961212706,30.95046371065922,34.55799880611675,38.03077540129894,36.05581968153811,36.00007179165777,34.044046826983525,38.11594653370299,38.88946679497486,34.82476443714888,38.089641207876966,41.948376515092804,42.64117387119833,45.243875082530515,41.099542597229444,43.960522360922866,47.884845793621935,45.73665964758197,43.70831953348482,48.280548770218054,49.96022659318551,45.68339951482667,48.27152280609996,48.00226935776577,48.13728652582065,44.22870624102365,42.47706398940161,41.1488333997771,40.10776659313879,38.307784911044244,38.725818938891614,37.729761697240946,40.850776697836864,42.575510969940076,43.56228298933636,43.38098513462613,48.92874697912194,45.680553911966,49.307220816909854,46.53736066537022,45.51644637662887,43.4396667565224,40.48408305181108,39.43314236011707,37.32797472039773,33.5965838628334,35.47448427404205,37.90360653269136,40.93714368374057,41.240736235391566,46.48293495794095,45.243092237753096,49.327083907190506,47.287839842774225,46.19284633624324,42.058542193839386,44.26819592995355,40.514754208089634,41.66734176833538,39.5663873857806,41.89010922734421,39.964959746085725,38.12219548568415,37.05481422875753,34.18473000593513,32.66554244158737,28.96814026440927,29.66094289494043,25.956996716164078,24.04903145643216,27.42021858269865,24.607539881688705,24.190797006969486,25.125028424080543,22.750750901430578,25.958856611302807,23.230245701485384,26.089530403259015,24.980628460690095,29.64228347590716,31.038728545108878,29.38414725609074,28.33294020338392,23.925865442190663,23.11793949429944,23.100379549484565,19.280792054656317,20.56645122093954,19.926885515909785,20.32154918108856,22.98744932063844,18.616073892075814,22.42166933613114,21.178253743266804,25.14637550528223,19.63811384230653,18.569019254880995,13.633133824114163,14.035982460552246,14.628376144658985,18.30182599302569,18.76424884713057,21.427134390192265,24.149196324356293,22.988960705234334,26.190069858936784,27.769636383364674,25.3741900492268,27.658868386128162,27.464225998221572,28.625464536988055,30.059700696953108,33.4453440553661,37.13073040971389,40.169945065710685,40.43863029569861,38.50464650828556,35.42889094102034,33.73130503648886,33.20220005766271,29.499075247616314,25.696900336315334,28.88402310350348,23.485547783849483,27.091623013535767,23.334003609236355,18.194355755681983,19.46090969722147,18.426312670786935,15.423302024649292,13.93171036377476,15.947390059116003,17.81764934442443,22.606826144404586,25.97028583418743,29.411488284194547,32.37492388306396,33.685014583320644,37.36964006086443,34.08188267000096,34.019082352368414,29.19681915794206,27.96747771962581,28.018961239102648,28.115452149823636,25.76397221407685,29.424553240062245,30.198693478187465,31.896179370645598,28.59973128406026,28.862139215645637,26.639413253954334,25.817068879480562,22.890562818429256,20.928240872241215,21.107014103713592,20.41056483687208,17.12487111428089,20.10530190832293,19.317373869882797,21.834403232453273,24.691335439614587,26.768002158908338,23.452139459502042,22.39762933311679,26.903636835572037,26.268809112706787,21.590769926101476,25.437863236573488,30.358846650864454,27.000398617273092,26.734843214320936,30.598048049835658,31.144294128879377,28.319944303084455,30.38288911286854,27.369652642792826,32.27744623125779,26.68635258965404,27.367613046414053,31.528089859210766,33.03970740785649,37.96824651652184,36.770431396048984,38.3684991755843,35.41877974356933,37.008747488850304,34.671734428694585,36.26070814313541,35.08607788484222,29.377813617708718,31.072015503349622,32.20517949819097,28.110552918756863,25.875948949010375,27.0118211435659,25.799136336380535,22.63632851481539,20.557434141177882,21.602110804326664,25.108393872789883,28.458254881576583,30.503576634781037,33.6558720054662,37.85837453983467,35.8918611637708,31.452971632379388,35.5221129752764,37.416549665856394,32.86889871527098,32.05478593103878,36.419196362307034,36.24940457300377,32.84557487534239,36.309568155174155,38.84282793520652,36.2839328145946,35.484167548140626,38.35888969808852,35.382155686014805,36.44317532308153,34.10163687402113,35.705047072525375,35.418354666227636,30.208371299687997,30.73582294759211,31.57614396408677,29.3740040279088,25.630158427811764,29.372142316193298,28.75329243328991,23.762682219501347,23.151133512117948,27.074736255831933,25.744657701752036,22.11190889218501,19.67668749474889,21.148847148317454,19.458441412788943,23.728953500203804,21.071226765070346,21.656431035078374,22.24084904599513,19.736464468171437,17.17094594053937,15.713017317653195,13.978572231741706,17.340542434105416,17.037643174883023,18.367029297347532,18.221085132397516,22.353344094191208,26.19928290198325,29.641363097553857,30.438224443931936,25.83700278670242,28.83975971163198,31.989395027245802,28.692501232543894,27.839600459627377,32.6599905278652,35.624001746666096,36.16187550766398,38.70623020007106,40.10197658241887],[27.11713365910199,24.112933464410627,21.62170013017365,18.224995762408238,16.038058758831106,21.661910512775076,21.144092650137278,25.147740179625803,26.399821844917668,25.395187893590084,29.07570507990995,31.514989937562135,27.597629294132254,27.29641003985678,31.359196196117786,31.019654090696307,27.18488001010247,30.195175055831772,29.874803169398614,30.823082683373908,32.84739775555849,34.17792700570781,34.80166686105179,32.44016465293733,29.89470434145518,27.979311479610228,26.13886014360597,24.658753170689103,28.004233282451708,29.649178420478748,35.234991298576126,34.52180779224202,39.085175769362564,41.05405108546958,37.20761611648355,34.11849861767951,32.63174082854938,29.72290602420704,27.168759364283698,30.54600411277554,26.80806876515007,30.189364026786258,33.81454661367418,32.029306280326,32.28433710083585,30.6267494846323,34.79835140746063,35.17835260013147,31.16497802969765,34.84903624082175,38.41166428763845,39.13871774909455,41.536218896665325,37.17437476645795,39.91350314736861,43.894787298062994,41.7569962131721,39.46927193911285,44.007787955326656,45.868257158158144,41.46561487618666,43.89905411949092,43.47536123919571,43.741336917055406,39.89928217056187,37.982817778489974,36.62455997058825,35.441149024716935,33.73147967544259,34.08639684753007,33.20693935068002,36.434944834756244,37.991082824480415,39.003723987498034,38.683426944308856,44.24714393024136,41.02127823486114,44.612563994252874,41.89987857541798,41.00550102322681,38.93902660651415,36.16231647500531,35.10071417633371,33.22235120741405,29.427620606884627,31.026749104897533,33.38381538295948,36.3508531899046,36.57547440129074,41.766888838798884,40.4927434178222,44.580501092477725,42.530077797915595,41.440813184676934,37.33432167277464,39.60375652642449,35.91109340885901,37.02025719581102,35.018358022803795,37.541569996726366,35.427453091436476,33.874288830343346,32.6341863330727,30.08820446252171,28.820026557154986,25.214541044552355,26.4493885804319,23.00668753665078,21.141678903714283,24.088995187487914,21.15963211877242,20.11854162525106,20.892518209699347,18.202919661046987,21.292012930895904,18.513616013154927,21.362997456288976,20.488341121624515,25.184115006775198,26.379927076225872,24.820034593514162,23.756021764477655,19.44095870084701,18.6154738329402,18.783678396179884,14.831514826032652,16.87258095172523,15.957875708500849,16.81292817291132,19.479195011047185,15.930823242139638,20.09955120179331,18.634105162981406,22.038016388315246,16.321737463785542,14.556686408759974,10.224137508304223,9.545097563141297,9.897961490526702,13.588561613546837,14.361794274626009,17.333608922106087,19.71514699288734,18.342453815439452,21.63881122706063,23.061069086950354,20.623342183181435,22.96552665490024,22.95440347890245,24.241929555337947,26.00333629474063,29.40320026873758,33.23920853143312,36.41249606268238,36.34826298761852,34.291513685569406,31.050169803807886,29.504210029721875,28.691637958515198,25.24205405957206,21.297006778721695,24.300462235586316,18.929563338148338,22.752801935345403,19.398577834347822,14.408831779924187,16.26796261660637,16.01317144787608,13.197896020278224,10.653836944544405,12.504983969010446,13.618995207314372,18.583966271926087,21.85143191260285,25.14122156530493,28.147366618984503,29.182418981282186,33.08531615140994,29.852585923056907,30.025245681743545,25.32632742578977,24.12710432251794,24.721592704311796,25.14783883952939,22.485813749557323,25.92165583351947,26.32797312753324,28.568590798138526,25.51960770328179,26.056453078532968,24.18785448369018,23.166355420471668,20.724978954797493,18.770596148578413,19.275587446828464,19.25328485864126,15.678436038324362,18.896420821298694,18.405471539261338,20.009881977872805,23.619910855063498,25.000221773372495,21.4290891414411,21.39983191494127,25.868581362414094,24.641826025770015,20.60257815572385,24.864060164613146,29.216152191803552,25.706325086474905,26.06732388184405,29.959196276799478,29.893813940132326,27.44313917897742,30.128389642736355,27.38661733397471,32.366368717610825,27.71361156767106,27.80198338676142,31.891847651806994,33.75113324194108,38.549709483575086,37.57115762027514,38.68603192910323,35.516202733349466,36.840049225608986,33.999783168455934,36.006204694338116,35.33323074336274,29.298886577459754,30.723466304732845,32.61101452029766,28.72613945299064,25.96516957276325,27.170076638062003,26.906059223202394,23.651365092231025,20.608999812747683,21.378735786152887,23.83586963142267,27.446631749378277,29.426757898804752,32.07761553441679,36.30863800564122,33.78840162111704,29.628758610123814,33.96095283863559,35.328932167837955,30.58735734784343,30.329979429889182,34.59404530097485,34.169611468772956,31.092175566082165,34.96780018929876,37.27783013237735,34.61170615946066,34.407044843458046,37.475112708542305,34.72926899776814,35.7277234615421,33.13128557597672,35.184183923924074,35.24144221227956,29.775749180899982,30.41844565221568,31.89036443385237,29.70888057854496,25.787324239084953,30.0965584804988,30.00796329955539,24.76588093327227,24.147159525820367,28.702644870806434,27.731544304345338,23.98281774002918,21.147853681768336,23.62894212710423,21.648771627373154,25.416553205919307,22.057366360490253,21.893006612990664,21.595560556451286,19.822835440303148,17.417832979861387,16.895337895905584,14.533681033692433,17.28666039164098,15.528612636888017,16.516299459502587,15.32610171572776,20.051015392553982,23.508117400362767,27.130843555043104,27.302866530851098,22.908157547220597,26.475833673881006,29.172569373456508,25.442991679295222,25.35412826921911,30.166830106691567,32.85991256196984,33.078495226535544,35.62320439585852,37.116149448819954],[26.123887571154118,23.073249823010983,20.154304186339537,18.1274551316208,15.08328151913782,21.43409825902269,21.33569353274476,24.988896766394756,27.08510616345851,26.713456725153176,30.47400770650572,32.33558095707905,28.73529823271217,29.18797268439602,33.12989653646785,32.44467989592508,29.009110765367385,32.291021622091506,32.54944611589249,32.96624926507803,35.34024578878405,36.3564810980079,37.424841838373055,35.26875174727746,32.378573009735824,30.686261400932082,28.30625356809676,26.769331810932954,29.68623480031744,30.761531657488607,36.834487519960646,35.34082328916652,39.92668725368921,42.134541889346785,38.14677816894835,35.4365337583245,33.307503094514736,30.942971634545003,28.286154528626888,31.120040217804423,28.224234991335607,31.982803240853684,35.36548042939448,33.20225088550911,33.6370288970791,31.61769787634125,35.768304767177874,36.13432946605852,31.72904024709495,35.05521352110716,38.70033067526733,38.99154691651238,41.60449156910314,37.744029575895375,40.08057304929564,44.27342593135196,42.59805116076813,40.393360572290035,44.8010543575549,46.87077128096991,42.925950655736116,45.63323707846417,45.18573201889149,45.94268252639062,41.94533086659444,39.82659468079734,39.08290730223416,37.68670978400338,36.51846010184523,36.67120247973921,36.17073749470423,39.60442770838039,40.74147065254729,41.78314821622755,40.929109525292596,46.36221179011266,42.839820641410945,46.11054913966968,43.16511687999911,42.11463736423406,39.5405641568169,36.53009597731009,34.929757687136515,32.80727985902015,29.4261141180682,31.371306566613978,34.32989025306619,36.91533566356224,37.896073508948454,42.88584490287929,42.06815544496767,46.38022011314486,44.2643203649799,42.88944399715444,38.81477234473055,41.21809767078077,37.56392197096135,37.97953526471013,35.64805952216573,37.5255702698789,35.51257530303814,33.13966372468452,32.19176346635808,28.88684920398432,27.15291918495251,23.372495570054376,23.78550004080917,20.02877585761109,18.21665753900672,21.731441059519195,19.32055586192681,19.159356950899266,20.810467344563403,18.83073115890189,22.785008984180664,20.630005713154162,23.721545850661542,23.694897922855827,28.324778310317924,29.009354500420645,27.744973452202046,26.353608073653565,22.3956805075384,20.910868776371863,20.28440810056678,15.785793534258175,16.135365664208233,14.977706297626598,14.776191416545242,17.30328286548562,12.699125946314801,16.55346555813495,15.668809434034886,19.530804507407723,14.300880844036696,13.50810249511889,8.200318053845386,10.098591137605347,12.024015612259165,15.336840693576471,17.518452312973206,20.37521452876192,22.42732133059362,20.588547850673198,23.33328538419104,24.462539360315827,22.006851792653638,23.76581731482835,23.00019206900065,24.354989302025135,25.255936250008514,29.03593702884228,32.27563759877882,35.750310339519224,36.10901853457978,33.89639605965255,31.015448527195584,28.864273403095943,28.689584022624725,24.4570293667521,20.966636163225072,24.746945100925505,19.811567649273286,23.287826051297273,19.760836283114482,15.444128988311318,15.852980218832128,15.87741719677638,12.13434993777764,10.734294430442553,11.682548019337245,13.830752302190815,18.208888854607913,21.296991711028674,24.737585730913967,27.381610929803447,29.084892769087716,32.43627492653172,29.415159167593547,29.00340597124564,24.482448649281434,22.64288151192954,22.810006125702326,23.23201248137356,21.122639320557912,25.40021823634842,26.58615036638887,28.51757710617579,26.11126591974619,25.75756399701854,23.516473301832136,22.016359237575045,18.94228183515244,16.41995340536268,16.19547778671753,15.425472294734272,11.614917710768834,14.50534187414787,13.848884875765036,16.053461424302238,19.29303214076207,21.207276608729284,17.976562258617705,17.4650063877618,21.96336084166645,21.42765348641475,17.521778994996627,21.348406700849306,25.900261792088802,23.163857116466506,23.394161117028354,27.105550891983487,27.586260659928083,25.56026388803216,27.80928399066813,24.83428172688132,29.409957173031284,24.46597497376432,24.23188114783817,28.225895875121978,29.613667021425655,34.4983132213706,33.14845176783091,34.17563501345472,30.92510512338474,32.176967562566674,29.4515802795714,31.252244837525453,30.519504582968963,24.570721377070083,25.97563223347403,27.713662556818885,23.830725900032085,21.10573781217162,22.357751414066033,22.03706528235958,18.776510130878435,15.813549469696648,16.61491893665669,19.446500922694188,22.933476125140448,25.02414739860222,27.930684403741306,32.21204776668065,30.063911710456946,25.740058012369694,30.074457647919633,31.82374643237466,27.303461347844426,26.825377832966698,31.29795289331794,31.2472351971344,28.12909559019522,31.605920689453082,34.23663541226976,32.03131111550751,31.38404937259738,34.15136978696386,31.186307903368835,31.858986741419987,29.15307841211222,30.876742303670373,31.119601215266332,25.847753681589086,26.03906876788229,27.482915950443953,25.543240981603812,21.382889750267267,25.419021931228304,25.631413326947577,20.55055922950886,19.493655728246814,24.097726804089667,23.51211397705181,19.923538693638985,17.56608067576549,20.248942270953165,18.978933274500246,22.481254469149977,19.71270679238232,19.02537467729166,19.50635312503657,18.246122311620464,15.272892299053142,14.285245229309943,11.426130963475629,13.40561573248285,12.360032877202757,12.831675865758484,12.91683739968974,17.586797778545908,21.017714629858563,24.578787781424104,25.388847488149374,21.211462704910346,24.51034795141312,27.641515597897158,24.587358861180327,24.35854985673956,28.996453223641023,32.05444003896732,32.38159931754328,34.84697681802027,36.09086002150705],[23.993196832295453,21.14566669924015,18.790596120859746,16.71261697343467,14.76946582220403,21.040769656649246,21.59698806033037,25.559412519001604,27.446207226884688,27.463412506228078,31.25547836184636,33.26369550611353,30.07611715423778,30.187524873117606,34.45386900988483,34.06437201394985,30.751804727028738,34.253451508974784,34.60706058890082,35.38591870434241,37.798616296854654,39.09413872542998,40.049605618838896,37.87379001254731,35.0808584307252,33.10904944028898,30.853892566228627,29.035919433589026,31.89343860802974,32.868533715868836,38.72381519221946,37.308752365857934,41.84977709242647,44.29115732346033,40.44913602660971,37.79534483668487,35.7482178579994,33.632066602495584,31.147678788851273,34.327267975942526,31.32170059784439,34.842971105904034,38.39785259753598,36.40402341802173,36.89381475966336,34.98753544570668,39.15539227701899,39.47150419547896,35.121029559637186,38.553387318911206,42.15596710933652,42.46533137624473,45.0251996807446,41.062413015807046,43.345979458468605,47.58000029458815,45.87744622449777,43.520077504153,47.91531188754468,50.07466563772174,45.97474285616874,48.49671381812771,47.9003312489079,48.598724515049234,44.73169210335405,42.541843127772836,41.445604323879614,39.88826686051231,38.401313122345194,38.31057011647459,37.65873257769528,40.94762995135813,42.34229558170892,43.683130972807575,42.93747253301837,48.55744610330178,45.29486437156724,48.57849827656057,45.81167996330609,44.97799082199685,42.42177400602973,39.6090046764028,37.86884561044015,35.95167054329145,32.60203869091476,34.28570149512886,37.195388589999304,39.62654461114464,40.48151671380842,45.3227079689286,44.29804220667327,48.48400006390104,46.174866233880124,44.68983673353185,40.4430976612637,42.596691239465926,38.76013263446242,39.49134955339925,37.0312501868756,38.78348525676779,37.30797546809914,34.866418748809316,34.38601275242817,30.952290530506296,29.688218848483327,25.564474674195278,25.90487089484641,22.22376028574207,19.834559984767115,23.354083438482295,20.47366164537822,20.873112681048248,22.013520219324594,20.41460464215818,24.234291106056638,22.173749322551586,25.5143883695842,25.492629122476014,30.21277803036588,30.78908546007898,29.169172988259717,27.559678924074465,23.453172160337207,21.847645780513016,20.95522129919053,16.9762435518129,16.83429474613096,16.562162263141587,16.607200528865384,19.773157018106918,15.089239112301648,19.036914171314137,18.726526522114487,22.461797968144957,17.440207971817305,16.29043170321194,10.934304866982906,12.551803189075796,14.07911053872707,17.70763262836341,19.570580896734494,22.776080514383988,24.823066914766333,22.95521660380699,26.044536846544908,26.926908210224312,24.258128593428584,25.790884125285288,24.94347782686288,25.730505079743455,26.525307970132847,29.92496186676045,33.29418973895638,36.281314377997575,36.962743415811296,35.137353773706266,32.4149217771275,30.444822626142198,30.571064786021235,26.543965006431847,23.484049176651684,27.376203498585514,22.591399843070814,26.345188472587157,23.079142884603627,18.696186424298315,19.383292452274926,19.352847589902797,15.654948062769883,14.15326673299752,15.125203844805883,16.936122935304617,21.420119891786086,24.357528951277253,27.649426893431993,30.107455331675386,31.58071518670649,35.15221979752284,32.39600875228079,32.006805185808254,27.7097028362805,25.49526643565607,26.019804670278255,26.614774824383577,24.5589600369772,28.884335225853984,29.954097594537345,32.04230583629141,29.569654427461604,29.327676915733466,27.08070908328958,25.576942233104617,22.461106179587087,19.851218510866957,19.392862042557077,18.213588652841306,14.198484094726036,16.484350468110836,14.932952835732806,17.289195358379526,19.895758415435818,21.875052305570858,18.545726989225333,17.276587971165274,21.766221927544784,21.122840750400336,16.431542796473362,20.266069883089855,25.16070753963902,21.96037350217745,21.74699932316987,25.56390472165575,26.19888072136987,23.65014394521286,25.685605876111698,22.65348116828534,27.445309370970588,22.191487094567126,22.493507553191378,26.625932163888116,28.29766758129131,33.16748704504537,32.16053194571829,33.62367610711181,30.679836282557527,32.36604030151234,30.00633575595865,31.956488224322086,30.73579455509315,24.839874986567576,26.83365579833718,28.359953311137517,24.129080923709623,21.851673025532747,23.577808242314163,22.542198431681175,18.918076106612794,17.185518228904098,17.229543065801444,20.996386678275098,24.273104553698246,25.86574863672236,29.10202603730406,33.126522535397505,31.270359615928285,26.709911287155727,30.53595294750029,32.503945820449694,27.98931515790987,26.958280424854077,31.29985960297948,31.17846055524653,27.712679450270034,31.113348712059395,33.67729889570538,31.215143776548985,30.33618265923175,33.182739025973255,30.212638494260737,31.28241286674354,28.9781624328549,30.710606881388262,30.373226366015334,25.076639615189233,25.78369976864694,26.751063391562912,24.469636211612382,20.75523329332594,24.904739407040996,24.38141111685964,19.177646074774014,18.83535466139851,23.198094526003185,21.929035531082096,18.150274168855848,15.367710005141827,17.774461593115962,16.01690925883543,19.78101813259684,16.903843344097154,16.862608127343172,17.50673813118886,15.559851240827186,12.688526216805439,11.477253509514924,9.191381938814267,12.267907010289786,11.952098259719616,13.56525034448682,13.80541278529637,17.467046751705848,21.44587253410595,24.760146850773197,25.92877746129848,21.297090093349272,24.031534783351688,27.413728902983653,24.544263759611628,23.47812759362272,28.191190444918696,31.36724703658771,32.014027948338,34.52891266105923,35.78243385571762],[24.132907297227053,21.58466969414579,19.636810689119,18.34923523045688,16.957926090389613,23.23571752916427,24.34604055519527,28.258569842745725,30.316723883829425,30.726555773655285,34.5204603490715,36.40620468263765,33.514438449311,33.68041022094919,38.022129334973414,37.65228984949909,34.478599679660924,38.0667335081156,38.492663294573155,39.24397407607296,41.66702528817381,42.898416399013094,43.85562965071045,41.62943828871049,38.867691526977524,36.97261766071139,34.70246850148814,32.89459994095261,35.68040491402965,36.5105176933665,42.41520578015926,40.81725073685685,45.33571884527306,47.90013326855441,44.05687819148225,41.5137789260856,39.31692260089698,37.35220664153179,34.83540071511094,37.80143374245051,34.94852381287206,38.60242085626281,42.07141884146877,39.94387793006109,40.34560459538975,38.250339959673404,42.3657157162533,42.84477742401152,38.39888060585283,41.56870858053167,45.30808380886197,45.49216783358345,48.18488163839133,44.431640612671046,46.65640412691576,50.91842602511485,49.32424515283285,47.07510525049472,51.44398699185968,53.59187432167737,49.630334456823704,52.24744444808805,51.68286055223633,52.42662134290331,48.51945046193111,46.341247645746925,45.32251106654645,43.74695754400315,42.27128865849581,42.11358367438151,41.46056923452307,44.71569515517476,46.14806663213713,47.55150088707932,46.76859503755915,52.3888582401268,49.10637619437498,52.32977051476216,49.52315227253673,48.64317466582252,45.966515117539245,43.06479443395811,41.17413217730489,39.14700079411361,35.94898501355987,37.77837069078173,40.83783744717603,43.171476750505036,44.211431833612934,48.98790406916723,48.04369058667237,52.2485503764886,49.88579849781527,48.304793546508954,44.023979776023445,46.11608158896018,42.23189399184937,42.88707986752883,40.28223263873572,41.729909498331395,40.5148336788918,37.72848823762851,37.52177107538723,33.746992129345436,32.36946506721508,28.146715610829553,27.96592864671072,24.176689446916985,21.71543112328426,25.500292690113508,22.794365807239704,23.8299900166558,25.103487606813836,23.891493174562402,27.843836174962565,25.940343506748842,29.351917997264135,29.366908833256016,34.09158185880802,34.64036013946998,32.9701424556493,31.26834988645268,27.171323115177582,25.458132394076383,24.313705582852744,20.47471533149653,19.589552954615247,19.585360862848088,19.224371173240904,22.362389603327145,17.19445586381802,20.684141972158542,20.80269879622227,24.792925479615725,20.18078549065982,19.522213562109048,14.010303907028264,16.261285714053315,17.94059261095862,21.545120905137548,23.409365451457163,26.536774105318024,28.683074473326148,26.82509396152052,29.837796921360678,30.696602822433253,28.01904559698069,29.371959574013932,28.283784076600412,28.899181923446825,29.296940520056488,32.63577663115216,35.75542891883356,38.590874392296136,39.635114813909006,37.94706197095793,35.464653616758035,33.33749587902487,33.8209221175129,29.58714468294102,26.82464499626619,30.93451824499474,26.272285761486252,29.89212029466713,26.476197436254665,22.155529159617213,22.39189074999473,22.06991810253657,18.217104021237095,17.36408080123466,18.259811857630893,20.46030126779615,24.725330552613602,27.608139587121897,30.93817348337576,33.23236201581431,34.92790443286414,38.28569627700472,35.63243906322891,34.99935417356736,30.77586639729477,28.354024701471356,28.580021338268185,29.04259563952248,27.311667714321505,31.892582482355582,33.27280115107043,35.0641343243094,32.62270050878198,32.0792357244454,29.603249031321663,28.087190085692306,24.64423063671909,21.93675019704203,21.082668320155854,19.267101620897915,15.502179674756508,17.21300702090851,15.200847497771194,18.24718800491657,19.922490720434276,22.471259709130006,19.51509557064981,17.22590936812063,21.568984821110448,21.53551659109593,16.414118359012047,19.63398215342806,24.961839643155496,22.068946773470884,21.25257430561936,24.923553936031173,26.18536784013858,23.44381518961177,24.793742887888268,21.531353735383476,26.104915896826345,20.043657709573083,20.83362665835737,24.967344196849908,26.312191651984666,31.259799364903834,30.106894169343374,31.997425003772108,29.306599834371756,31.276752720260593,29.43458630248044,31.08456107477275,29.36429411473105,23.816309341127056,26.161017831852643,27.062772016288026,22.623393504918763,20.931443059832315,22.782684427978698,20.85912145546071,17.20029881395228,16.738410519028523,16.652689938614184,21.416623237080877,24.319854851275988,25.774896685257705,29.44251075143524,33.31168662304226,32.025241001960765,27.26663711362684,30.690335514523007,33.132645185783055,28.892313265773883,27.304923415640484,31.645850669126983,31.779081334623,28.063911126693995,30.985417615581103,33.73345231673481,31.449049822835832,29.991494840237404,32.59516427023169,29.441070232682083,30.555708083695155,28.549468445148907,29.858375751048143,29.163823841360465,24.181823292741175,24.822840771802547,25.167072718391648,22.8649048405922,19.429256086508385,23.058033696934867,21.994196843721106,17.042259144348172,16.845497536647933,20.62823606966017,18.974550997587514,15.272800831326395,12.856666235727717,14.441747876682923,13.058954831851993,17.149383688422162,15.083817446441298,15.624502289022333,17.25609011159622,14.854052928110962,11.812324337700302,9.55906151357843,8.032613933287756,11.491886635271118,12.834888262967233,14.721890256673928,15.973120789165101,18.76564850740719,22.943666659402663,25.95489225879775,27.737378136055966,23.07053333618526,25.14857043614245,28.906547870422095,26.5904806012702,24.864160882278053,29.42607204173689,32.835563294171294,33.769548587684405,36.236018787054874,37.344586343185604],[21.583761537418994,19.22438488922319,17.91883513486797,16.163718276253775,15.983420812069149,21.763906702201016,23.274829370695883,27.449072285920526,29.101301328440265,29.722196295644668,33.47312932761437,35.56625969463233,33.01923251159797,32.774679083450316,37.37327256761526,37.3293110283428,34.26350372857586,38.01642675695621,38.538218105573215,39.69503094889386,42.168991447912866,43.75667039935013,44.61333903768157,42.43802505753861,39.747906949704344,37.48952764953086,35.35083260976987,33.22554685265648,35.937382585192864,36.720227703455926,42.296234525124234,40.90385662488233,45.34834955076428,48.09735475512206,44.44910455291128,41.92794720562247,39.92555699439394,38.179025166287914,35.89751772386001,39.38940078134471,36.355569061645234,39.632339452135376,43.345193098873715,41.51183053528336,42.076552291984704,40.25890793735989,44.43926178216545,44.70370163565361,40.375925353071075,43.88327207184965,47.446619241467374,47.72492434025076,50.24739074372153,46.22267598926725,48.401518840777996,52.700727642849664,51.02100357329898,48.498365631099325,52.85299055419016,55.13888132510333,50.912877496086864,53.23234903197338,52.45555715231699,53.12696858042285,49.417444292986936,47.13173473069289,45.674653371433514,43.90936268005209,42.092502193421254,41.675182901955004,40.875640968512855,43.96206952585469,45.635644569222656,47.35332167711051,46.69548077536247,52.50182132518523,49.552157258464916,52.80225884815484,50.24405435754313,49.66106016324484,47.0800986121823,44.48402809553557,42.52475059650189,40.828302862345886,37.5760539141611,38.99392591905035,41.89611512110299,44.08892769439738,44.87111054049271,49.48139631279671,48.253607850146985,52.28006411462827,49.72859579891042,48.0787056609621,43.649483914330034,45.468259379521854,41.438283696577024,42.493921564778155,39.85418852490995,41.33331165131063,40.59363658888458,37.989443923566405,38.139827909065204,34.49509420919371,33.752620185261065,29.271159168822837,29.40145093711415,25.849978636061145,22.879823637491118,26.364415106006504,23.086521075776737,24.263532591234284,24.85854647237929,23.855592217760307,27.487330391602697,25.661067766953362,29.232474904453035,29.288981862335763,34.03483408781133,34.42593421298795,32.42400042177863,30.54372266750104,26.396244816695535,24.634655449907054,23.360692948837244,20.15489719594656,19.23624591109534,19.989835377404894,20.169498723875275,23.882532183290696,19.144294053451627,22.989946521695604,23.35190499015509,26.958196404340438,22.28967296173437,20.942949093181486,15.653591021929675,17.1836992174208,18.390975102208493,22.183997415010996,23.776197632006248,27.269700927186978,29.26088980087794,27.353001597715377,30.724886030283063,31.300487730994664,28.43234065845746,29.618516477344006,28.607994248351826,28.69568840624901,29.22476584713818,32.09125977989341,35.478164639108336,37.783452917890074,38.96220149298054,37.66704556045269,35.245426643412486,33.465671713791465,34.04739605872758,30.244048162479945,27.786900840909762,31.831507309183714,27.312642154848003,31.284056107455488,28.281002981290694,23.915999831832504,24.72099616509273,24.640058090520668,20.924859630756856,19.473428987969967,20.390900075138216,21.987092119403282,26.46395710491073,29.204145689669726,32.32178709956428,34.503593471016735,35.774122289775825,39.505649495387,37.102769701597374,36.67059947612208,32.671280652159545,29.997917721154604,30.84480736306275,31.61118080329538,29.6919341588162,34.14179799067196,35.171714255863556,37.37825618174666,34.8915488293118,34.672784008282925,32.37594022669957,30.82632382674991,27.61018610048092,24.87686866690069,24.104796281545966,22.430822936059226,18.33645539509285,19.84358954404962,17.34011753393255,19.835062286162216,21.398927270145624,23.474426263042616,20.250951501341845,17.907948065270478,22.107474309961987,21.47375395528876,15.8878119316106,19.36263369198632,24.629644482593047,20.966112302861372,19.966517241228985,23.775715416843074,24.76592699697687,21.477140675463616,22.95990573707264,19.867857558023715,24.817561310934956,19.05750461513543,20.301437117500853,24.511938018081104,26.510907327325196,31.268826531083395,30.76233517544422,32.87865403981586,30.465053211637084,32.751944870584424,31.01207135527644,33.07479969194731,31.156764750754373,25.54991857756328,28.3036451489662,29.433931491152723,24.845820871695935,23.316282874280798,25.59922395558748,23.594539032772374,19.65741062885867,19.701660048437784,18.808721424035653,23.656215252988897,26.52230578768092,27.42575000051853,31.07047755325427,34.66489105323563,33.31666374149101,28.52159615606515,31.534350848161765,33.83917713744071,29.486349203508528,27.657861998503503,31.720225167525623,31.565474699072595,27.6661328353988,30.774395752979384,33.23686793973655,30.514973581471178,29.20011099243416,32.04572314847245,29.093137495704767,30.70383498373266,29.06164171402543,30.687960600912234,29.489038235102722,24.36619009232812,25.75790838164371,25.925676660526083,23.220525851732976,20.359572735713346,24.419536854213792,22.759816571831482,17.639234581928893,18.418026148484685,22.135571805997294,19.824291114181396,15.941295987487614,12.660883486502108,14.32440349166012,11.752130769272764,15.906970206157707,13.090487833628487,14.336897346091435,15.443723335251793,12.31934037961655,9.810292482391521,8.022028268296962,7.549325877940285,11.955935460890124,12.995895010273227,15.840078703835832,16.44894587263255,18.46401498431577,22.9643149385852,25.777818854730814,27.511407163134027,22.47356052153194,24.202734102610894,27.906604460776023,25.517848276747827,23.217846574350098,27.83390273570693,31.16140643174236,32.29864232740424,34.81632879556309,36.0172054472303],[23.28229992746402,21.069415538792374,20.2933835176877,17.2432386135854,17.93101506610767,23.097157627697268,24.32344798074557,28.804667481888057,29.7346547727245,29.877956093025265,33.54454787460065,36.13817140209085,33.37621884850992,32.46352184090759,37.17856365076804,37.452194160316225,34.08243465114446,37.58952333960669,37.601633168337315,39.20303820453215,41.3351762677412,43.14556709437077,43.589330218234885,41.21746966142953,38.887330349954716,36.51043250007229,34.863663884044854,32.83152921254819,35.87151066378939,37.11049563867074,42.262996063091514,41.522751461618576,45.942448386630126,48.48595313850119,44.955007192422414,42.12529111229009,40.63827871415651,38.43618351807292,36.21363647803992,40.02506521705104,36.34867675634163,39.36805195873794,43.216634006121986,41.639661206237555,41.985670957407066,40.379736908182096,44.539553055792645,44.91338815685433,40.884201276167886,44.563358256041006,48.1394543555051,48.76166840084781,51.167209092275385,46.790078906246805,49.32977311849313,53.44255038367846,51.38226398108984,48.86350199114742,53.328814725244065,55.39066472313096,50.82846634987913,52.95100210775808,52.23528027599871,52.45650644387617,48.88058460434831,46.81434962566209,44.85499801150035,43.30779098259995,41.01134795691708,40.766987352080385,39.60931462972127,42.449747599807075,44.53965234384678,46.23333236257441,46.076908648024066,51.9712362022404,49.28399068560884,52.80484025435321,50.43439413919063,49.947311778261025,47.78754591693087,45.32891000397595,43.815574019334434,42.23742723296892,38.66065736201096,39.89361397212961,42.33309028366636,44.856542897685024,45.03703798978514,49.82014067887488,48.2177002533313,52.0361975292821,49.55088254081588,48.15199212252099,43.7008537654917,45.37786123253028,41.30996075511504,42.98270811273857,40.613886338041596,42.615492753281885,41.80173839859416,39.831094495423535,39.729523225257076,36.6369143176538,36.136781141402814,31.785471196885922,32.47812456038869,29.031099848257483,26.10683271845838,29.287416368422836,25.667165478541754,26.17135464130855,26.1675704258318,24.643974168760028,27.60338751694869,25.327696777054403,28.676772794439383,28.026500017950664,32.73153430517238,33.56715986810614,31.29326727855912,29.689184725675997,25.282644306498902,24.074984683831744,23.406086670012847,20.70815758150734,21.003564872863954,21.856328644102273,22.688667768227074,26.440626975417207,22.170232820767932,26.305365464971207,26.111152346070888,29.639872775990014,24.481140174775657,22.65275610125655,17.685490185688117,17.972338315791024,18.275167912910067,22.21831085392669,22.73191193752152,26.160468983662483,28.418326384720253,26.93164031641969,30.647356840648317,31.474026913962494,28.650507488078645,30.270160225075145,29.81784463535536,29.86753817464014,31.054411299016753,33.63363784936436,37.503767006469076,39.55379679744765,40.40476539864853,39.25033194565982,36.541619146264765,35.2232688222851,35.31084793839331,32.05040486493996,29.199328878745373,32.69711717051413,27.846181820579968,31.999451908907055,29.009278158248968,24.176198904137514,25.77084880001064,25.342704571796347,22.128581422596184,20.195340143341728,21.697305640657948,22.869410808587624,27.72746734840595,30.664011961663356,33.74366193911814,36.23407851128413,37.06645622258328,41.18468102540355,38.55942705883741,38.528979468019685,34.29985868646389,32.13665438726559,33.133345664000466,33.80667478560441,31.5064173062407,35.42348345995447,35.96763572117657,38.27322681932183,35.249267250419095,35.62118359860321,33.51015581303889,32.341555666304906,29.43105219932428,27.057706607902414,26.780220143276622,25.580901303085366,21.599168593229653,23.637661400109014,21.49972465481636,23.72246535978981,25.735859539726302,27.507189690949915,24.022938415801864,22.153657872552014,26.36609943915839,25.251525962446006,19.6764360004714,23.45640144764097,28.51304006461162,24.26262226358333,23.371608581520274,27.2755052379524,27.805414339035902,24.109322215488273,25.911239562778363,23.09002918481851,28.31035223211403,22.838890272893238,24.401232983649606,28.6080874953978,30.892418850052504,35.53543597851388,35.26922942478321,37.472057889932195,35.11383072652163,37.40817712179111,35.57257989792217,37.68789922452779,35.8360392495384,30.190541405829297,32.84556819442333,34.00371762313759,29.45011531831062,27.825966085449316,29.906628006855524,27.95999071735429,24.155976978821357,23.802723871734976,23.272632962806973,27.772122622210098,30.82417431930744,31.83180037145755,35.30771172213143,38.95286275432547,37.31748822634898,32.61943352146972,35.73578484930089,37.774404047112284,33.239415462273186,31.618057236529783,35.55055743877958,35.119108900378784,31.26085351684369,34.6643807828782,36.87534528780032,33.786916197436355,32.81859842622527,35.880949831678414,33.11129295158159,34.95183402517431,33.37445112653579,35.19921112109704,33.899572159475674,28.68966307490547,30.31739603199052,30.509695689229602,27.695830783363544,24.97283086123358,29.09341824144201,27.270896178197702,22.190635395984554,23.083172347822497,26.654172257359036,24.142555033801127,20.308587916417192,16.94292614077159,18.0998159165277,15.086957511468551,19.380181172637524,16.228296927444873,18.042572509772306,18.400007258943127,14.749290506479518,13.056643840178822,11.882999514555582,11.808818414996136,16.36156341378773,16.654708129343646,19.572702644269608,19.307516549381436,21.622889943250115,26.116210922102674,29.02238957710321,30.252073890513604,25.040790062606717,27.002534499889915,30.346924918256583,27.407683456767757,25.163417334685015,29.914705424528595,32.92577450319011,34.00593302560624,36.593050896322666,38.00008593361235],[19.242891778207085,16.81723574810482,16.054601344415083,12.025043147193545,13.417672577331613,17.849301427272838,19.12200506498232,23.720512871946923,24.30897559609303,24.626201134929694,28.233147014877513,30.882732903536567,28.48115607206007,27.393093264097146,32.255683579474045,32.74317160139971,29.67413544489402,33.460651074567686,33.95332137600091,35.79819011422015,38.241991079737765,40.42928670788745,41.069853174672964,39.04528951472032,36.52211905483177,33.6662298965081,31.861803883297384,29.312602663071115,31.980476703825847,32.92582505830284,37.78496845178825,37.05465233974307,41.353102236585656,44.14367671283174,40.84357162845137,38.209389954287765,36.78970650603803,35.14339992942309,33.308218625919885,37.73919580935416,34.27121769141302,36.73578767670576,40.83629126150165,39.63651346262823,40.4843193927152,39.322250053077646,43.558678420946116,43.35989251643709,39.428633743551345,43.62263583859357,46.74407291305533,47.33158242788797,49.42981290851717,44.815355244138104,47.016049238687444,51.24320119913626,49.29402296692424,46.313653193930264,50.6277188104247,53.05382012805657,48.31231682454188,50.04737966835602,48.95290945235028,49.39865732544993,46.08198381526692,43.695450751971244,41.4615510892168,39.49405399269224,37.107531422052894,36.41073372114341,35.343507176950396,38.1500378414002,40.18868099256679,42.27620194273427,41.929553154801404,47.959750155103514,45.582557537504414,48.94770684208277,46.84651809323569,46.75618256650685,44.55248793120182,42.547418750636204,40.7732165823788,39.702167108128634,36.23502166521339,36.85619681677377,39.22827708865852,41.34836805544177,41.43853371674346,45.85349663332488,44.07847833933024,47.7501454501739,45.030018853875475,43.45863840875507,38.89710457112952,40.34966677456179,36.19393109966109,38.0426014318818,35.6198944298232,37.61363948420172,37.21821460154148,35.45923076668336,35.725276867897904,32.851616871677244,33.15211928327453,28.610863892980216,29.815636237007364,26.821620236502596,23.45404668424267,26.04397246769952,21.889806111585077,22.330788502493775,21.588927717517837,20.387792783820586,23.04885873758909,21.13751109412693,24.725346604684912,24.708050031109085,29.337193411031294,29.569526276080236,27.0938914136143,25.117424079634578,20.917249826026566,19.357672090608233,18.354556920853177,16.359066061522505,16.63141425698219,18.210799578850676,19.714554065209697,23.981248677881567,20.636700526368656,25.151464932463362,25.274876829738766,28.005325247325302,23.026469492103843,20.315264745470078,16.100812518670747,15.600377185865362,15.575166977009276,19.376450134611613,20.253064364035016,24.22436347269618,25.802585156770604,23.948674393044783,27.868838023597856,28.060779877189567,25.025540940399306,26.19674389080749,25.731801990144028,25.21904981453655,26.55320167794836,28.670798905768034,32.786696624482744,34.45576197814672,35.26562897126711,34.40018623679478,31.75140010224942,30.7971324286807,30.975242704568917,28.249884931042143,25.917794597391936,29.364724993649,25.056896142468382,29.539135693317153,27.40617380303454,23.10644418957328,25.166580169490985,25.62898335922463,22.51149298245574,19.801851257521285,20.8041513405684,21.006949223968913,25.764490079173296,28.265018376720413,30.923233266266333,33.11833985319703,33.43328476407564,37.9066972499342,35.74456913190582,35.92929380421285,32.22700414804603,29.623666807274233,31.57372651241282,32.81188058159574,30.334826973388545,34.12482638173913,34.2558595183541,37.28498788769045,34.70336362872644,35.305921329725,33.56650708448947,32.06988071557783,29.603867027943057,27.085475260020313,26.872512890758273,26.050574947132592,21.586498842880108,23.412327927809944,21.02459829230791,22.1375626263921,24.55648184746384,25.384869695154773,21.549510117489685,20.491728567655404,24.511109897209952,22.425128465527987,17.194085574242482,21.528655641614144,25.912133321812668,20.979690713806377,20.6584839161914,24.66077101103144,24.329800755564907,20.683464815439528,23.324355839657787,20.970907078041996,26.461261502197182,22.414951351598987,23.445764588192013,27.5661766920904,30.60630791188755,34.96041144526129,35.3213258248258,37.129699416736806,34.729135178354106,36.970576385535836,34.748716544110884,37.55019024556422,36.027311566715724,30.034497001967456,32.74556755987102,34.76216339658234,30.291573890012728,28.29265533548378,30.783323119652934,29.62485322920527,25.509920493609467,24.696262974976307,23.308483763818423,27.067534786287638,30.246166235724477,30.73667521164771,33.77709161210419,37.19143626110113,35.09114187300819,30.607953805902888,33.57675681741467,35.06446302747399,30.322556194761066,28.965834942329717,32.57347813901459,31.704347630268582,28.01370608257019,31.92379345568696,33.711172369323734,30.216981697722098,29.945113976383833,33.3598059526707,30.973952187260945,33.07313636843248,31.508047147525804,33.97736944846502,32.695302004383755,27.15846139506085,29.38805437083513,30.11304937711125,27.099278643824444,24.550714056069193,29.500849927928254,27.948266573570606,22.537902820963634,23.915467748415065,28.146466299602015,25.766848390135067,21.76091780525941,17.62561137712852,20.132875504287632,16.472666656384344,19.838287965770174,15.440513276648677,16.532781954411416,15.387905098334379,12.301040742253228,11.317736309282113,11.912747493554882,11.448773383480665,15.593288339517455,14.322101765983378,17.67980716265292,16.237157856703252,18.09978085665368,22.506265921688968,25.3308636747642,26.06730677558086,20.729225432560767,22.809681341985975,25.730043254098735,22.441535573741838,20.300769801426316,25.100771964698826,27.862891747251943,28.86180709924131,31.52304381121744,33.064932202721074],[19.123023504234354,17.219424699483135,17.53256525026793,12.952475864644999,15.955605756904754,19.0955388969061,20.629902929936147,25.306608595239027,25.15789121059551,25.524384051877245,28.89154413170396,31.860492447822903,29.8378001095989,28.096761680702603,33.11445493359162,34.04205094914934,31.07256217075386,34.80372592311269,35.177428046932484,37.513721686738634,39.812494978890584,42.33909887725352,42.72364825102973,40.70149341313531,38.436648565776906,35.30687295269135,33.85678990428036,31.15749731598861,33.7888488936161,34.821804478522175,39.09344720006539,38.80190894698564,42.927468436579325,45.77003847739393,42.748227814672845,40.084633160013034,39.03852609178412,37.461437650116586,35.87713343091009,40.68704392996165,36.95051173510805,38.98975497992706,43.23972006937778,42.35955547546093,43.21917084660502,42.3181638011134,46.52081074081382,46.238523427265186,42.543156341295905,46.923900791049554,49.91836320257824,50.66715319464069,52.60558202413244,47.75913801310662,50.01567259277526,54.16204505507515,52.04821936867433,48.911531839060714,53.1993709716085,55.62270606070581,50.62332569668818,52.03330357606907,50.801277618205944,51.00883197409296,47.95482856335184,45.6013816616419,42.838382950423906,40.82191894210012,37.97463018098795,37.100776679119036,35.760669983573216,38.220368732866284,40.644884962208565,43.00135152002496,42.97824156459069,49.11709331935768,47.17845050576752,50.61387208820991,48.82401846987413,49.01223915099713,47.058477612414315,45.36084923558054,43.70151403827857,42.912841831543965,39.37992336713114,39.64417275878019,41.698044642200976,43.77449492611634,43.447992785434195,47.70149544425956,45.570179441717805,48.940608913224985,46.106307283270986,44.58467492917003,39.95767952079466,41.04786842817219,36.81311676418382,39.256900561110804,36.95062768661193,39.091331581743596,39.14157341793125,37.77163677948583,38.2709706382074,35.719407917409626,36.5346992239156,31.962124269459107,33.43419080166421,30.672979083082478,27.115930550662963,29.368558956925373,24.920893984175862,25.306474813168908,23.86218193788653,22.77469733435221,24.721106180458523,22.8380032590492,26.28844742312731,26.037374175269644,30.461755307694297,30.710554807775132,27.875565155921166,25.90432552529792,21.77360375353251,20.505877463992018,19.6826040846796,18.74885258521531,19.336002309311105,21.428085987190812,23.32794077113132,27.74917496955893,24.77621284704138,29.345013997462967,29.496432736912933,32.01323355713031,27.042346444885354,24.011831836579145,20.182019212681595,19.094494216342536,18.471350315020977,22.137512276094427,22.313948842882965,26.340041593638794,27.83082344245172,26.18402194167122,30.342376733157472,30.39133026572046,27.343783290040832,28.46230950164883,28.259236132142778,27.282569280962676,28.864283392067026,30.355023699767447,34.722866523389634,35.737433617273936,36.57017462459361,36.16666916880248,33.57420896760027,33.106817390051404,33.227447279244416,31.11001540908977,28.995016128605087,32.10630492485522,27.964791613454064,32.58031236232561,30.7632320501571,26.431578638522808,28.923038729516303,29.334403662619057,26.47250570850655,23.543489222482638,24.691601901546413,24.507155711398607,29.297913489822847,31.69200066087026,34.12824989493323,36.27111613444019,36.14000067891744,40.90294620449345,38.90357174809848,39.324344143950185,35.77529867929595,33.20735939419798,35.48794636205271,36.82690066034861,34.215727446010675,37.73236639504282,37.519636226155804,40.75351147549315,38.00848409083897,38.9519317275008,37.36095009015915,35.98918981126862,33.700816763163246,31.288893897484233,31.187480109344765,30.44256396618941,25.963266789819716,27.72825160359506,25.18284209792068,26.092284515876965,28.331932331751947,28.89436228678983,25.037146179437936,23.943606356222904,27.686171095865834,25.25567022586679,19.98904017547444,24.183036871724365,28.309491685868093,22.87422601146578,22.37454009044868,26.25884806729623,25.61535765670403,21.48348563693455,24.136187157097922,22.182222331813026,27.747375788032368,24.151261416756007,25.63875091836405,29.629897697963067,33.072047559888205,37.15932643011586,38.01441479905451,40.05508609286309,37.93616380515239,40.40332641702096,38.34237268855674,41.31796403780689,39.61445221179499,33.71525392079007,36.66039594610652,38.666538871486026,34.11593815790895,32.3088295369736,34.960739756668794,33.5963233530792,29.41214531736802,28.972743345069116,27.339526706754064,31.19290121277959,34.293243538479146,34.47871411423319,37.49087460823858,40.66904218364591,38.57418153415038,34.14685610051749,36.744969418719165,38.103912696671266,33.385143954734644,31.869537441824342,35.12357635348655,34.001161568800505,30.2648998443103,34.21405181260465,35.66277858687533,31.80143501183272,31.701494647540187,35.245597592161864,33.12380949674015,35.62075698372114,34.426340409528954,37.04101353901333,35.34561493112205,29.89853113288928,32.608928760259886,33.094640313226435,29.869858235366976,27.839346275460972,32.82689849167667,30.80829868093705,25.532223976852844,27.429203541827125,31.382997911567507,28.565355850201637,24.624151358361132,20.3056131742582,22.395545133797473,18.245255954965838,21.39640447486732,16.833249085025727,18.62716591149499,17.00605541710801,13.432575451804796,13.52383705493612,14.483662081988665,14.88014245639885,19.1276995745513,17.91665538518239,21.580514726434473,19.83992173274686,20.98268813455842,25.3652026518948,27.882312109102795,28.4625220935358,23.044826437541857,24.679374445933437,27.308259818963414,23.980936415193465,21.3367857332301,25.9541110658657,28.382621715202614,29.562182946160046,32.18124659564312,33.84267494429653],[17.075582052647473,14.72861671398776,14.431560241233752,8.928642265587774,11.913498992738736,14.364955308022122,15.613407992812883,20.30332712063151,20.02899651890741,20.436742228570097,23.822310694622118,26.727659513171705,24.836097411559514,23.19989471922748,28.24330921264369,29.166322449174917,26.446907280215587,30.40023649871795,31.261152813667824,33.556154162394,36.16751917359508,38.83502227200178,39.51119919731318,37.826392336252674,35.301127253219,31.927879297285255,30.202921103701286,27.157275047632048,29.418360179143818,30.153299470377338,34.36028363270414,33.91899928361681,37.98365702016727,40.97462925310435,38.05256944858518,35.58382618870969,34.472128359782324,33.35286473054161,32.034224008073664,37.141133258415884,33.755751134411305,35.45467577760063,39.79213474846139,39.113608795708664,40.38314942758299,39.76248152898077,43.978085100273006,43.250225398369686,39.5986086261488,44.26950073995697,46.896594425489454,47.55015922794302,49.27312658713638,44.37345826456636,46.305472929445564,50.5336067050411,48.59589396658864,45.16967781839792,49.304368187892514,52.00923084202343,47.01480949013533,48.22971301891992,46.748405609025916,47.2586860548651,44.331765844797005,41.70911280042276,38.98170791848115,36.63747118602112,33.96135722148793,32.771075655769636,31.661544521784744,34.251344299463824,36.40884230839367,38.96436624486619,38.613444268095165,44.776392628051774,42.91138359506726,46.16109860543895,44.47336501569907,44.87385410691049,42.807414581612086,41.38917263712518,39.51031290735491,39.04989418248726,35.67754203304117,35.55133664731331,37.628959031436516,39.36713527275837,39.12386285547802,43.10386792320118,40.99350519454217,44.35551687237453,41.39465125208831,39.72192186432581,35.05840683641893,36.12310571702773,31.870048328799985,34.20770770282193,31.849260714695507,33.9816136783392,34.14363854278858,32.89501344455257,33.54369454805945,31.17387599282569,32.46261537859447,27.89249475593003,29.75249921634692,27.381751670068113,23.71629799504607,25.442959464979428,20.78315843992576,20.94973044548169,19.050386647232855,18.194148731646102,19.986831687921256,18.49368576013571,22.118825308454152,22.597785762127003,26.919583816892782,26.57924347658624,23.768326984443153,21.464091706040985,17.615481975300018,15.901316568762587,14.72016893192631,14.275537563732115,14.929168366133688,17.3835820726811,19.735780141047805,24.289565491602573,22.179861914354298,26.841803861140157,27.13707311480974,28.98384751997837,24.306135536487204,20.768791402145666,17.785170241626016,16.210555583485096,15.48457505098461,18.76748974748207,19.50705116916097,23.829758200834302,24.679358535989113,22.66673632303008,26.780369300066322,26.317659741801332,23.17051065830393,23.887160892400765,23.63222458788116,22.3571739493859,24.05720993216672,25.347914239827137,29.851265409040987,30.839800051632793,31.50870563113024,31.131215076816094,28.534203706655976,28.24942662333336,28.384721445166385,26.607527707032908,24.8748668221392,27.930543646737878,24.321539548603894,29.030955960049543,27.887001156555787,24.182191280357472,26.806735594853556,27.926629722827577,25.178400215208118,21.862169464575665,22.51372097397824,21.645405514433442,26.12943927918096,28.119073940851173,30.205813112646954,32.09654318208637,31.661737065368573,36.56330203474611,34.90090277960474,35.43686647723707,32.32779978374268,29.500034848194733,32.39533303637295,34.11249352295927,31.447114896786378,34.839082227774696,34.40022899476569,38.095114056203435,35.83370664701893,36.820552432601325,35.517126243387345,33.88084999748077,31.95661459906543,29.490765024859215,29.45052455191685,29.05903269371636,24.42704472452126,26.072530610590807,23.633680040795653,23.66266484742183,26.352547775301126,26.186985202906552,22.170140402162865,22.00719884904769,25.571171229611938,22.506269122726277,17.997863683485487,22.545231220571214,25.967155899198133,20.376453219181226,20.648135033727726,24.512678419746045,23.143222943961376,19.55267897766044,22.993581589876968,21.379943051001177,26.899552076263852,24.44450823067467,25.122347757930257,28.962759427711013,32.684205221539415,36.60976623289293,37.63351152295175,39.13579576654826,36.815777354487295,39.01428680210253,36.52182158299519,39.896275286573854,38.651934599700255,32.52223552848662,35.24084030624818,37.91451629316808,33.591561014502254,31.37482206809561,34.12414884427986,33.55312445654926,29.317959761285998,28.20639638818749,26.22709186379059,29.197834722555033,32.39475098328687,32.38141339565994,34.913560555043226,38.00025931714925,35.45954860115966,31.3325121302278,34.0195963328473,34.862286434931704,30.01733549441851,28.9753596497921,32.04765488627208,30.646577380475552,27.245675756820336,31.606350486076682,32.7991691426557,28.824612104816765,29.387123147152717,33.120153681881256,31.262457643442584,33.669836378865625,32.24995524248469,35.30240257252021,33.96562434187413,28.318070927742756,31.138615507759642,32.249712381602805,29.10425906933021,26.925823410106297,32.39230077309286,30.977803058099997,25.53745768208241,27.340623067304747,31.85830282290161,29.52490440037129,25.54300078669024,21.03689686447607,24.17833752068831,20.149913483510787,22.622236402389905,17.521581624824854,18.128279677659826,15.4381819126926,13.162737774802043,13.362516522771159,15.341573683523682,14.907688390442978,18.295125574988486,15.727845574341233,19.210938035371463,16.551856461758838,17.64070050149323,21.640501282139134,24.191797180816476,24.200724514135857,18.91047948453442,20.972364362108205,23.122306158307342,19.36539560582124,17.348961400470145,22.02178552264885,24.22144157192995,25.123428828857012,27.805653233206314,29.577113944689515],[21.840773303654927,19.277824029782632,18.23923698483839,12.814131458730259,13.888890202892368,17.090866346466317,17.15721939576416,21.797826895231136,21.467826089741035,20.779314081614572,24.221455588049697,27.40840593741358,24.519853283935536,22.764673772278567,27.584690029586923,28.33096425768773,24.940113610949073,28.418010013621526,28.52705983958378,30.79663200158191,33.01575097218875,35.50990597354337,35.896759174828,33.917397470246,31.6069888920691,28.475230116456622,27.069619918057935,24.485953099852285,27.35125129356412,28.759287345946518,33.084085421998346,33.09585470100001,37.31725011345104,39.800936491482325,36.668080091158764,33.74833393568693,32.94263129052112,30.931728323803576,29.33420184035856,34.26333518174295,30.322807077308756,32.21711431011029,36.49065127713695,35.74597084403643,36.64724838433206,35.98149982161056,40.163197110815446,39.724880087369485,36.224406080603394,40.81224237373854,43.62005588161889,44.539202047317104,46.31762650472571,41.28994356355426,43.680300003277054,47.703738798699824,45.442732109645995,42.29886614246337,46.619764962294305,48.947681500670456,43.86004257433888,45.254721408651704,44.103206196728486,44.23050825792201,41.13768995500221,38.84863545451542,36.12577105214999,34.264770198990746,31.504564687596424,30.932656530871977,29.615502658262493,32.286455518291554,34.56001407455187,36.616470549097066,36.63862928912509,42.71365778676847,40.61586664564973,44.18317529088967,42.325527584078216,42.429364197794456,40.68460254463904,39.00554511235045,37.70399848559996,36.96059925923391,33.23744699265694,33.40531317973173,35.18887466186807,37.533910511790786,36.9510049855324,41.441648580114084,39.29528270903535,42.74624228808908,40.126512106885684,38.847243759957365,34.34375596735338,35.73747499375008,31.645624213705005,34.05671034502,32.06615317053018,34.81222201391695,34.06486257533805,33.27115985600157,33.053663716129606,31.116243347658493,31.811359423594798,27.671963557925913,29.803243317672994,27.210913888733195,24.148861955698145,26.01064050170854,21.69068508989291,20.839117232985124,19.316191130999563,17.30556369164605,18.879826604549372,16.49371927209425,19.743202794806454,19.256468311520667,23.742942465611392,24.197901999109686,21.509892031114283,19.818179525083202,15.436183685444888,14.541650360254499,14.533122611400511,13.32749976728612,15.744456916457295,17.085493128239527,19.517375979179654,23.517970573861227,21.430415843445886,26.14149679926347,25.60218912756845,27.71791259464668,22.48246793109329,19.00030060818003,16.09722240014457,13.679363366556167,12.300491211434865,15.7595045377116,15.601183690304373,19.667409669453022,21.016085729547093,19.461717331581625,23.689864022591852,23.907911937143112,20.979989033878095,22.573553043480615,22.909690253670032,22.487261873141264,24.82095897532429,26.651450842399676,31.307863032569365,32.951372905341834,33.003295024211454,32.08765263959994,28.993633627865076,28.66795293622124,28.025825223560773,26.189594646772278,23.458050458471437,26.01211184442134,21.682765788179765,26.31740365501724,24.736773813539727,20.53286571377851,23.600700405069446,24.307051943931253,21.992684035525475,18.484099863782088,19.686076138710856,18.79955158375049,23.612167431425256,26.025143084998128,28.364917701475118,30.80734785975289,30.43029342410741,35.34998535195722,33.069995811432996,33.836745529954776,30.163404508818974,28.181840046767164,30.60703577667658,31.953081812558526,29.018178417713617,31.96883856813922,31.332045107056864,34.79623244370916,32.03778240551654,33.36626307746199,32.1394424266419,30.884051304046373,29.150711887260925,27.073952009611254,27.505388174068415,27.559069548779494,23.261248260635067,25.621451462046107,23.93629962048925,24.256837357755227,27.582968946593443,27.714348573467245,23.645241545500735,23.867376183827993,27.824890126229164,25.089231715256854,20.7783061072622,25.480926681488835,29.129176956616515,23.99222168341959,24.45263962809663,28.405385686433462,27.206229321106434,23.949165705730252,27.35048379573917,25.438079075068302,30.927957222769745,27.806786787929664,28.348660341591394,32.34350591145032,35.589771334440044,39.823886180542054,40.26676576744589,41.62269063101517,38.96842759599053,40.851215041707974,38.09701109012447,41.11487311000367,40.15474637859216,33.9201259921982,36.157378011814856,38.70148681812029,34.503744306273525,31.980939972520734,34.1824313044511,33.81841264647272,29.869755602917312,27.897315265010455,26.8807268999034,29.4690848859834,32.94586096010205,33.63853266742192,36.07011101183127,39.59583544503011,36.79997335375762,32.743931227727735,36.11910430112595,36.91288219843154,31.95153186735813,31.398847570087206,34.83306864276442,33.585294684932926,30.38507869351543,34.81448610490394,36.251747543127095,32.54715915115398,33.12142567005472,36.76363071920401,34.69203500726266,36.69644709138311,34.82652885113951,37.71019534374676,36.865964529541095,31.14170628581609,33.330326480547264,34.671628017220335,31.777262224684286,28.959215426878814,34.2057560803733,33.21352248657118,27.69350154783281,28.732527708800216,33.37019096336096,31.400666922241793,27.37747508575924,23.249117451342865,26.13810235043085,22.54568638383793,25.675888031808782,20.95488876737792,21.43526023129474,19.293144335000004,17.060069028681273,16.436629261964935,17.639550688317655,16.54385425632504,19.99186388235539,17.260523075597305,19.978807379127932,17.18368192764189,19.846040597640343,23.593598177045365,26.635311000112406,26.253303902144786,21.245141661827503,24.163517732573226,26.17967988664708,21.95740776091218,21.00664525440887,25.768311816942965,27.861996651575648,28.344798984129866,31.02028519489563,32.840283545919526],[24.55560360460411,22.430937749293935,22.147145331523838,16.222811903450705,18.353417728838995,20.014376593160385,19.827191228585903,24.31217939075989,22.850855187535434,21.647793642306304,24.584850215101348,28.327495864398383,25.594845882520612,22.79155118879899,27.56849559143811,28.90672880532622,25.472568635738412,28.50949410183716,28.09491761967115,31.099824272411716,32.87764886096811,35.81064835555284,35.68536759955391,33.677388983882004,31.903876217312646,28.48121472692644,27.82859347220007,25.274198316775678,28.20907996756404,30.01230457696297,33.32377606229824,34.257681729378184,38.192560680871566,40.455875864293844,37.722767352889235,34.61759228188425,34.57302305996947,32.354136943619395,31.1167484912654,36.455665832659,32.013276151046426,33.19621084413106,37.586848257499064,37.37675099064035,38.18077048954225,37.97818210366967,42.01102275739028,41.49533562595223,38.51759489468957,43.318111837259806,45.89274075452347,47.154059510990756,48.64280003074391,43.26429577885624,45.86327303071465,49.60802212082523,46.999593034748884,43.74847448873845,48.017519116953366,50.17435251649261,44.7080953570398,45.613325709293946,44.38251915258855,43.990574576952945,41.308253655547354,39.23200195298185,35.712998069201696,34.00429775098019,30.52531051432326,29.95841028126212,28.134194535758947,30.24566564105363,33.14210126830576,35.3642424966453,36.060632413943615,42.173674372276714,40.695218920150936,44.45454337422945,43.04596310862414,43.47269117718815,42.29294595804574,41.04246685476073,40.190992841609656,39.811425600953946,35.93737215145907,35.63007315762844,36.730475803113634,39.2007323282118,37.814243291936215,42.185517246649894,39.4967138763013,42.46307026934498,39.8689452745652,38.8857076774081,34.44753839152614,35.42476911482672,31.38181022952139,34.708097460926936,33.145898662764914,36.40489713584353,35.86135541593774,35.93005062555638,35.64163091266271,34.46646372320356,35.66915571672266,31.78273478716151,34.38847129061495,32.11221898554996,29.09809096759507,30.484410191232453,26.020798604474294,24.695537142849716,22.380352840232092,20.19034348533942,20.395679385666934,17.85344916877125,20.439724292278424,19.186177428713226,23.13982744689709,23.927990657582953,20.79547069987713,19.4992598362834,15.304026705418302,15.429848019913662,16.300202171598063,16.594966934606813,19.88005625220451,21.423607582135862,24.29237547821192,28.15193910501712,26.67177297904089,31.37865900777731,30.593269658168005,32.40527487539931,27.156197060754753,23.390996436786278,21.193555139112416,17.984007250427645,15.718405608062959,18.60446323082764,17.03001992428638,20.732801388354343,21.954604954817263,21.019169259848947,25.420696708389244,25.640290819585218,22.948655154392824,24.730348485815046,25.722762505234687,24.996184718668527,27.91997359511112,29.031169998490057,34.036332636901214,35.066020448288945,34.7648875070639,34.252669543398945,31.050764906098664,31.463751679631233,30.364903505821633,29.50956952969567,26.807386502316277,28.511326963160172,24.403090239051973,28.993042828380133,27.86850463539155,23.725305067187772,27.443168384163393,27.993499668907237,26.288483104367632,22.551056368072548,24.018318528262196,22.585767318822125,27.271284166581328,29.552278288202274,31.544107685918256,34.049465054635554,33.000886715593744,38.2546015182923,36.031095559031755,37.253473348406324,33.714014486282935,32.17181581708382,34.87793510285717,36.2321326182286,33.06386421366283,35.332269550972796,34.07752926724408,37.73640445304727,34.67578081031209,36.627655088652226,35.722199112293765,34.80220930947101,33.49189869436072,31.748878290876135,32.49820840298386,32.85240520196092,28.689166383502233,31.187480667941305,29.59678372074627,29.706787322672422,33.09598733446051,32.94189940875839,28.838029132364458,29.256480663981822,33.03861238775542,29.963052178849033,25.792953840681857,30.461628215932407,33.801456504325145,28.293353971829735,28.775599504899514,32.61755246573661,30.995732412452842,27.501140343061216,31.046197167753295,29.515728122869124,35.04003608980407,32.34335414683053,33.15472863851406,37.06029835607318,40.609946212042814,44.66344180954325,45.44244033046894,46.89386572301307,44.370151455226555,46.330881778977385,43.56720717630437,46.71657696808513,45.74929015204152,39.51833543113475,41.79618738386719,44.39553967521256,40.17928582783736,37.679391932222046,39.869512024936284,39.47480500344475,35.52576803492579,33.5609567218603,32.570047082373705,35.01679683339646,38.5147169534396,39.103167081549245,41.37285450681724,44.77413793207497,41.7985348195023,37.91658479263813,41.14418549342942,41.654981194956015,36.67962971244922,36.23455109070852,39.35262528204844,37.815857336626266,34.74339584866585,39.31206180211447,40.393634282825744,36.369042641176584,37.2998706813556,41.08260806630558,39.28329166402814,41.54869305150498,39.86905748893433,42.933567494195614,41.897504739023674,36.19222472811827,38.68262673295782,39.96709650328196,36.94561442729646,34.391609557262775,39.701763374478,38.472326449400605,32.98898189670127,34.27742094544888,38.79577575970216,36.57280277961187,32.553334929622615,28.307049324281024,30.89374226119919,26.99602477338452,30.077879444436675,25.244046692428864,26.143820680109187,23.596871235403764,21.15307452690197,21.169113860481808,22.54305180465626,21.89780101345109,25.483010486435205,22.688297851405256,25.46716948293947,22.317847564913247,24.628173067005687,28.131751686388892,30.96372075559813,30.123340023692332,25.2785906638052,28.03581116392853,29.494988622169753,25.017568219946387,24.09314894463121,28.570608538028523,30.05886669039628,30.476177927511923,33.05128056430963,35.05747634759915],[28.353377836156735,26.194939486550197,25.736687473740744,19.892501697448395,21.484263860777602,23.456585056160403,22.867229660758923,27.233821834880885,25.707822669237377,23.94577319370446,26.752089218411253,30.63573500683411,27.421773494721972,24.46958521942149,28.945673768769947,30.24072793171828,26.435109973861834,28.939395886860822,27.791850191516676,30.883248440545355,32.17319688831853,35.00223767223096,34.47598016432971,32.19001220226444,30.808996613807462,27.623355668458032,27.46916617946273,25.39955658004694,28.73886810552796,31.05347092465515,34.198856490262195,35.58394986626204,39.515837143646316,41.36680697575244,38.59215701029011,35.17974415286452,35.48140866982814,32.607884075897395,31.232258089171907,36.36807838479062,31.45340818721041,32.66031952523677,36.936452940698295,36.76045893841154,37.17811278709335,36.99028374187495,40.90467234853762,40.683575076513,37.961814018564695,42.61665883030615,45.31734925056419,46.834660010051124,48.33203808854157,42.8764689242038,45.856480301406826,49.346907807700035,46.43710940070277,43.4567641082607,47.82240505469731,49.60627365471611,44.0467918355408,45.00087186897228,44.047805400877095,43.21720933895759,40.51267524770077,38.804745568683366,35.15529349334789,33.92269318192229,30.256859709470714,30.209784219559126,28.123289927962592,30.081329378403563,33.20138973573532,35.02337986512045,36.18727410325453,42.15684129522562,40.65070020806402,44.65362785654329,43.21674410023952,43.46261060059276,42.640912164883964,41.26367577068863,40.916733522862096,40.36686329255931,36.27339800345508,36.14766288819585,36.90353057372177,39.81857102201788,38.064043985505215,42.73901306387621,39.95580899419865,42.84860409901132,40.54283147061662,39.91016452371322,35.662436529131696,36.76029493600867,32.90328632363136,36.37668169499585,35.125030610603886,38.74829274710361,37.71518654677755,38.1278620073922,37.32999597874844,36.47969574164609,37.32771371307712,33.757567376212805,36.45383407679288,34.066440410376096,31.4111308286823,32.88433052677875,28.654488151444795,26.879427304394312,24.80031941050221,22.071534980418615,21.988868157231096,18.965174838402827,20.988743684694768,18.758243295639826,22.532487780693337,24.09559536897942,21.075937411806482,20.428758697498036,16.14917143420296,17.065936122519926,18.66184356410042,18.660427354713907,22.61362777063357,23.60751755022022,26.404592011308036,29.866020772713227,28.351582223970414,32.974849725763754,31.698772733709372,33.70087719286915,28.20876939715845,24.64613581270338,22.524310066352452,19.02108026055538,16.40841031466466,19.143096698416983,16.600938128548663,19.67796427148069,21.340800581923897,21.028910384598817,25.370277391563743,26.139646546301982,23.754736938440995,26.101469982041905,27.494445607743998,27.243623001588286,30.461236396074572,31.782075598361246,36.821657576229704,38.108286954609135,37.49087954630695,36.74574372283883,33.31424839429021,33.75564227435061,32.2002354174976,31.397573585326867,28.15336676078231,29.39202591556019,24.909229893345387,29.27547087477944,27.857723641767166,23.41407717396476,27.4002006980425,27.48210926675374,26.222401344775314,22.54528626787598,24.440630752227886,23.092165556122072,27.835835687704172,30.36040512883491,32.46386179681814,35.30070581987281,34.25696169906473,39.46209083384816,36.84925100453543,38.24414761066445,34.36658952365634,33.46667396590385,35.783401477581215,36.82339403560502,33.52246508873468,35.3673289839571,33.93222739888839,37.314184179706814,33.80687343624365,36.075513288072486,35.23639365565166,34.719106236534245,33.56192165284572,32.165568674756216,33.21630842608392,33.79643472522771,29.946240723740456,32.81062135316981,31.607724062320617,31.97579363010983,35.56577928825915,35.64101888581617,31.557590324639342,32.01002248439146,35.96857139224308,33.10949943956567,28.908888927533056,33.59545408261727,37.12381449058274,31.7839489920845,32.23311536380037,36.127455923850285,34.65177773742116,31.175108020958955,34.624397986424945,32.936274485864004,38.4758940615196,35.34542577143233,36.23796562207646,40.23144952470289,43.545380483465586,47.75817072391024,48.25491074973927,49.731615422898294,47.09381324080288,48.946748315821964,46.12959729669196,49.03496415505242,48.13573725269043,41.91561632474025,43.98337962331744,46.39374827815451,42.22566993918869,39.65858609511353,41.52937556457005,41.10471312844131,37.348524435885764,35.080438125816734,34.64576473205762,37.01305384712329,40.60957944052907,41.5695801667756,43.842838326166834,47.454860166903025,44.41686490662368,40.552435351905096,44.07418896783305,44.61908912119697,39.61667298833973,39.33106879672065,42.618725335051174,41.1719908500741,38.14130740296989,42.6958891344397,43.90437398203466,39.983239150206174,40.84403502488023,44.57873698707095,42.657175827267956,44.77650195380829,42.938263680146925,45.867585188526284,44.99048234328601,39.27989509552994,41.486279249619805,42.77217521122665,39.847309089638266,37.04972082104694,42.16633558231218,41.02454138180716,35.554420495672815,36.514649756786866,40.95843358322381,38.82394952921763,34.820120938955284,30.800326433665624,33.0627698534966,29.370473480107048,32.80401076209625,28.218115363547057,29.244525993290072,27.019283045966528,24.412273011834863,24.14309613185251,25.09967899989252,24.338641414946537,28.03537878082597,25.39568556064851,27.858060175523494,24.816424992413587,27.71593690425534,31.14590943350167,34.16179421821972,33.21273631242992,28.494288042458344,31.521989325407613,32.97396084036907,28.36640664677873,27.760394275435726,32.27698588563501,33.719647243367326,33.99865214331003,36.531133090232174,38.5559871722911],[28.215810702131854,26.06251599884224,25.53285158320625,19.462256073288046,21.049797685236175,21.701460864103513,20.565503549996468,24.562383224665982,22.341574784029447,20.171764619858877,22.58959168910994,26.685859701585034,23.6462729963921,20.18822555488619,24.573215957170408,26.19570311452156,22.617358009353765,25.061667636944332,24.155947724301623,27.629706837223548,29.05108528905864,32.28527544489544,31.851575245351125,29.971215756558344,28.547999661989333,24.906887143951607,24.83589836860372,22.393267625287137,25.349406675268202,27.579109489642107,30.059356510870373,31.818269687828003,35.505210607911295,37.37239369000503,34.92466481128096,31.62768359605184,32.27587686231443,29.79130690954324,28.905861437430328,34.525223094111894,29.808911510127402,30.26040055951115,34.68244803114982,34.98786325759427,35.834125321554716,36.16318419696149,40.0086522819762,39.249016871378906,36.80794779678783,41.843083903457654,44.0268671211549,45.57015422195779,46.70823723252824,41.054068369938655,43.76158934039214,47.21145122269011,44.357493612369076,41.00928508629365,45.16421837708954,47.18508274514156,41.47097364174388,41.95966475172519,40.677205080079744,39.938269917439655,37.58635235352039,35.66978175423959,31.63178836385798,30.09231743574237,26.195479625848215,25.7846046874256,23.639386155609053,25.44612647879437,28.648626802488426,30.814486578803823,31.98102920632849,38.020563405877674,36.92638246137954,40.82391367460934,39.732874038913714,40.37846775194161,39.71372275274439,38.85150802665467,38.48774851035474,38.45387674940602,34.49880368810666,33.73387511860305,34.16625799306783,36.76436412792071,34.690482322727554,38.996683895635655,35.950219893634305,38.57592066224779,36.145323703596816,35.52040165601962,31.28746370888297,32.13465524969105,28.317330288815118,32.184080029437354,31.161856014818497,35.04234921984883,34.188498280723636,35.18513745230747,34.471113224822936,34.20622247631154,35.70256478753237,32.3369849717809,35.52793165468709,33.653290141423206,31.00349529296725,31.801015316226156,27.50846907100541,25.31502350655006,22.55396938495369,19.91689948942459,18.817180970105113,16.09720981990316,17.789030695518036,15.926993279831903,19.234299522731153,20.295520787865716,17.007460497358906,16.30344558044757,12.497339108676204,13.792941428572936,15.805451883658117,17.040855982950095,21.49395470170963,22.681629571016163,25.921020065180425,29.300364835784887,28.794237881328456,33.383160337545014,32.19681725858921,33.45286859692566,28.342394190450406,24.316726150456144,23.2676102186447,19.185687492719374,16.193481639073656,18.127690536642238,15.535900712092365,18.732940397827488,19.47828601829443,19.080656874644596,23.391093239885596,23.595193589257768,21.29179963997242,23.33448382594481,25.057697281269693,24.451150378818024,28.047057036856245,28.80956528047018,34.0110639525978,34.976849348603956,33.99153097269066,33.460695830256064,30.00911936965425,31.00310240339596,29.200623929843303,29.25365329474382,26.421427849259565,27.11924286240488,23.374882791792267,27.73565766813131,27.25400040189154,23.599357426482573,27.853162019913167,28.584289278492566,27.618184533939516,23.61872974216985,25.068081409019555,22.89509499570845,27.163387516617387,29.18265265519017,30.741530739290305,33.320287413817574,31.659163280268366,37.098455367118,34.880047785858956,36.583698889254826,33.256329889529475,32.3125916851516,35.288362145926044,36.68384319814174,33.296805583617086,34.73418992040563,32.82629775658376,36.74354675604827,33.676583423423274,36.189335516276735,35.76334380819039,35.079201579717285,34.42314331407681,33.08317688066117,34.2456889211135,35.174171605693175,31.274960031603076,33.98861302060356,32.86526411065187,32.49527806196663,36.33204466296749,35.75504265116586,31.658288097221977,32.81662891158784,36.47946491768418,33.12184279989146,29.623884048964896,34.37739435275464,37.22018012335802,31.79753938955532,32.73550060499981,36.46419197327458,34.38082530978052,31.296060481783346,35.18860567834308,33.89845945975634,39.317383801183,37.14726917931632,37.6172347077834,41.41885732050574,45.03252058513327,48.99428880510973,49.789299064000424,50.91315712401762,48.224101722559226,49.91184204236195,46.81584571255078,50.069916419099975,49.50075535502908,43.17709062051925,45.10840713437486,48.03484576125132,44.04432714866011,41.239066172290705,43.218328359653384,43.3555986813086,39.54785585697387,36.915005205099646,36.150233626826164,37.807735729893515,41.414224817523696,42.12586217778258,43.93748982856915,47.35302128052647,43.94684834810842,40.45812297674123,43.90311349037444,43.92340463720614,38.925828361946174,39.04824032310442,41.9919184410681,40.24608435109139,37.6009727528382,42.40283765708103,43.2471451083236,39.20360417987036,40.66752110651734,44.519312520911136,42.934219428840656,45.07018119323659,43.189724302317195,46.4742422889858,45.76756131199411,40.011229935641516,42.40691503780707,44.083739721271826,41.18145630756388,38.458616092237634,43.897348530757604,43.05819306193528,37.531717673233196,38.584364302507886,43.34024480782444,41.409982474187245,37.38973238269982,33.17548001442197,36.03113170027097,32.22917183599312,35.17870692364021,30.22825217873793,30.717368063180288,27.795024042799888,25.899178380824512,25.934163531417166,27.515565792684264,26.52145482709909,29.69066335623312,26.274785482931193,28.55168746562397,24.836529975256326,27.49370969700441,30.37198235429759,33.22368720476052,31.635539740140825,27.336641253883794,30.515268695576992,31.274020489354697,26.399018010952275,26.440566039577348,30.60915291329762,31.52697045082177,31.503702587349824,33.96462363067888,36.091670886178456],[24.766364031935414,22.29690803176916,21.27659457738242,15.353711777201777,16.36897417601172,17.919982313527214,16.955282238165868,21.26184388962883,19.862886402797503,18.17765383471212,21.203545659741074,24.914961513898188,21.766918270918346,19.155196611564158,23.84036461685613,24.983603809477152,21.41962231634154,24.498782945228797,24.2447150114697,27.090954048009145,29.058747019916254,31.968494817668002,32.074281461721185,30.237612416877543,28.214107925126147,24.711560390535116,23.826634838296446,21.15708451866436,24.060683112592475,25.879930034551492,29.36946620290715,30.232070969081864,34.239193815596515,36.43097045573981,33.60614684858254,30.483889983893473,30.39938296826832,28.189918959999684,27.00045022647428,32.43929115642572,28.148435851084184,29.23466653578438,33.659749796905786,33.50184461497468,34.51878206166557,34.45614143687626,38.50458486316712,37.74619076630162,34.78053809033716,39.734330728102485,42.11251981908945,43.334158168536895,44.72119198985336,39.31848140850686,41.80126655167174,45.575806113885456,43.048408590344735,39.69705203386741,43.9280676982791,46.19544609834136,40.76621006099308,41.684187211558324,40.400608985971935,40.20463224244443,37.46498531997833,35.2548315362207,31.91201332129956,30.098690015212945,26.85056757609201,26.298228463927682,24.670162434509113,27.084395735577775,29.678273382552792,31.8148654761114,32.260507939161315,38.37165100504978,36.71644354371477,40.43400988165144,38.941688403921574,39.35209476846232,38.112113184874566,36.901199951498505,36.0443549459324,35.750667242712545,31.90088032221338,31.473949044659808,32.573396868356866,35.00966776032106,33.682653147441904,38.086998774366,35.49995882468408,38.60825390322292,36.053343577219756,35.06568106453158,30.654071270777,31.85492030647235,27.86562245536304,30.959779813899203,29.462183749236043,32.89460620085818,31.980244371619538,32.21082698870037,31.65877492125467,30.717467970893782,31.936008954622594,28.26476514679816,31.154794088653787,29.079635732700073,26.304948230307637,27.392557464727904,23.076282636410827,21.213636512663548,18.861229196049035,16.33244486970722,16.352004790288074,13.679378497909532,16.288947865195563,15.309800160791328,19.39693824628909,19.980751682691633,16.963600053060578,15.612972332581329,11.271199640260821,11.416985444791031,12.672137464332742,12.946205204318135,17.008092920528494,18.197785241259783,21.28404623341064,24.88474547073528,24.026875306821776,28.67506137517944,27.730861043185914,29.149161179384784,24.028653257988605,20.037265592963465,18.584717955640784,14.836198165724348,12.264968384842177,14.777560815962623,13.39008715004929,17.284104032587745,18.12374171096251,16.991535734421266,21.38559641878319,21.468685719543814,18.77990307877275,20.624865217307025,21.79473308318415,21.296686368667512,24.494630590635005,25.78573379958244,30.822123831837903,32.22543262425952,31.587115611462163,30.777050071581563,27.38979904575781,27.811961131253348,26.433065692575806,25.70810349477597,22.893502264398606,24.385042756646683,20.414360164231358,25.01366391030458,24.22965830915423,20.485456607389622,24.339894372215916,25.31323734401809,23.82180915610453,19.85369028324523,21.05849397812839,19.14052741655463,23.611092604726743,25.72012099006673,27.554608334299463,30.066272345071123,28.90151030776052,34.18839930771949,31.972762913948472,33.307910178073904,29.896862404645045,28.469997376865898,31.378217384882692,32.855495456895234,29.61858606495166,31.680393478145955,30.262846902105796,34.149999899358185,31.363807494028084,33.36105575001978,32.665859901757784,31.643989342096685,30.64592170335123,28.989950666624576,29.89346531138318,30.60243015032081,26.537840971751063,29.11343820226583,27.877274339775205,27.548003388350935,31.34872467684764,30.884742547117597,26.780608521888905,27.871175155414154,31.610412437074796,28.399566737691284,24.85804206195711,29.64677575203731,32.63363656167878,27.399238489924837,28.36560779122397,32.168226926485,30.30741686120971,27.368598778094285,31.23126747939045,29.72771415263235,35.128792845070954,32.7898849491701,33.048877754164295,36.8867494189089,40.34643626799345,44.40882074562513,45.0201779625082,46.06411651738702,43.30504865611679,44.956307743825995,41.86360966546465,45.08606965413049,44.517355959841026,38.18404892471951,40.1201328062165,43.061271175586036,39.08191873799302,36.2616939472732,38.30670593258728,38.490852553950795,34.654220232987775,32.042116545787756,31.156471409860742,32.87872733151687,36.4667960995934,37.178461534171184,39.09067749238765,42.56492505295014,39.27154433584756,35.64988937290479,39.15974154225676,39.35806330892297,34.34119146293253,34.37852457577765,37.51673484774138,35.93905291942919,33.19084603504345,37.9332682134891,38.99995440515598,35.13531928366871,36.38736851232904,40.1696664456485,38.42220039113366,40.409747902343604,38.419850842409524,41.622081653965346,41.02386971942771,35.247825340269586,37.49737592052309,39.228530411208105,36.39848895005507,33.54414062423601,38.98078823580639,38.29855032137212,32.75794281862568,33.69943255117195,38.55055149855309,36.78603755184517,32.77194073107576,28.605900578323,31.721929698036714,28.088508321348648,30.981074709873045,26.045290407045936,26.21745847644686,23.44249773493983,21.75398304386755,21.466984375563754,23.05206303399241,21.786738040771844,24.79032900195622,21.298105121587056,23.55772059533399,19.949669819586894,22.764424424412194,25.811986213016016,28.808583850051605,27.51373149682321,23.017656528007663,26.331664651082757,27.474959760722776,22.683972139503116,22.678158930567964,27.13044666086239,28.48754567211755,28.532938612916816,31.0991931678942,33.13310226526694],[28.80197693431379,26.165592993540336,24.7153146249261,19.167431623184832,19.116571188141677,21.777453291841713,20.436186344384172,24.58559994447364,23.63167329742307,21.40423719245919,24.443936505793122,28.068562432347015,24.128286845675657,21.83855157708241,26.04770079285853,26.80252506606342,22.65699508821394,25.1012858244187,23.924080441125923,26.485563752568066,27.92225080328102,30.413149640082608,30.174449746245486,27.87201129142292,26.125201992406673,23.15887376426323,22.644797765004217,20.782104469953296,24.37683764806337,26.841189759022587,30.62714159527172,31.70967675100516,35.86096961473011,37.51717912916047,34.40114765129068,30.8733114182034,30.930357680468834,27.721678740661215,26.065620348783092,30.96461382348375,26.103233777084505,27.68669586665146,31.898485616905315,31.470220007573598,31.90869115534258,31.59151138376504,35.58116349779984,35.3485660364646,32.47052927684384,37.1074592620091,39.848789381864016,41.302802095573654,42.88064144473847,37.52095578330665,40.53251065567203,44.07090624220769,41.23512470907781,38.37134732043703,42.82000701728319,44.58947146206317,39.19881979790734,40.49897683460731,39.70672493525559,39.10638447374267,36.06432624888555,34.31430113146925,31.216695664548787,30.08478353080045,26.945870173560728,27.235867712609753,25.47811854205248,27.981338419919336,30.570953448537807,31.979398003629566,32.78098608482524,38.65471161983907,36.5906598992687,40.60208539242239,38.80161542523859,38.730146556214315,37.74705566171186,36.072581717208756,35.799057240373024,35.01217586365013,30.852684783329735,31.00876459309857,31.928632673634333,35.048542855869236,33.5694484626149,38.55170002166904,36.1148858895481,39.38438855703951,37.26801288778504,36.668369326782354,32.52530697359896,34.12973949877331,30.409235583555127,33.247725637081864,32.0136702696058,35.72316747340609,33.95563452014855,34.275220850274316,32.94806734558643,32.13106734232009,32.488229510714255,29.223153676695663,31.997084293772662,29.58255844179844,27.396344906435505,28.86431897812803,25.041442793956012,22.71027783613226,21.185609524685038,17.87390386164409,18.135446820793913,14.700301940141308,16.684430900828755,14.364514579218776,18.596090432082022,20.3308566247195,17.767187688857373,17.290794834676582,12.705643074277834,13.68310241868379,15.666467849521434,14.667298934791388,19.328304553014263,19.483128910085565,22.181916211295462,25.14254373903042,23.916355457840357,28.40142716763754,26.742302867487968,28.646436814679813,23.10253071439005,19.617647313605012,17.952145978928886,14.025650920044557,11.168590287256363,13.773569026327136,11.259164419069652,14.394854775937755,16.214502276679116,15.823160625199868,20.103260271429704,21.18878390340976,18.892469680194143,21.64446480606807,23.139856526519697,23.595450639340047,26.92589390455657,28.879456723142095,33.756150624322274,35.81439899833601,34.90214147092756,33.556421307689696,29.893998649085017,29.979321198440495,28.114849397905513,26.95749939531908,23.202592297927403,24.354654742557965,19.541518622106864,23.81969764005978,22.23085877639468,17.813571301154848,21.894166422590956,22.157452348562636,21.110166718714343,17.27319036114005,19.145083829615917,17.636510080047717,22.346737255551083,24.984242926437933,27.219206885128177,30.271629025619333,29.487048193091997,34.50735403486013,31.601641505911836,32.97830282635297,28.899644942018075,28.33924065767587,30.429185074465366,31.37026591510681,28.010152944901915,29.732376306809826,28.339879990358586,31.685992573383476,28.277041254969504,30.490666180423204,29.731091459082975,29.191862641963386,28.224548233981007,26.979356919669044,28.24514442859078,29.19418102874892,25.598026887230244,28.71487018219153,28.078165620886956,28.289098394509857,32.33336620670121,32.3897724698746,28.37680179218938,29.37611017564077,33.43781458285289,30.757927885977093,27.08854849120247,31.859430222210005,35.27946493818576,30.47222171847387,31.316170059388046,35.22794875479361,33.80405366042225,30.930891018554338,34.542320495411246,32.64779726887619,38.05502352841031,34.866528245051306,35.176057128628194,39.17241992777074,42.134766600647026,46.501684819695065,46.54481692511865,47.60286082892902,44.63066512539778,46.08768382054041,42.94621261568668,45.70682661513286,45.234845543411375,38.94930383041219,40.53959640324521,43.13341511016629,39.24670402306946,36.33282472355256,37.86790522560866,38.010411720351996,34.492645119877736,31.40994706139869,31.416139815728933,33.08573537197091,36.80211181409835,38.14818924138952,40.15021636840151,43.99742479751022,40.72609633300782,37.05504885138478,41.05963391744786,41.465513111543196,36.44901049369392,36.64869984556863,40.17346883232019,38.88197889654657,36.12641545591006,40.73807405712227,42.156327274464026,38.59586573526938,39.54255803172385,43.17220029992009,41.120413040254,42.78121937815309,40.49460868083735,43.3774496392383,43.084974092446195,37.3288123700196,39.00654096137152,40.72918509302314,38.10693107326205,34.796802611877474,39.86712138352984,39.40307178313117,33.89783682719871,34.23331207558557,38.9864299956241,37.46120799533915,33.486333130719885,29.732331080419975,32.44830546918467,29.242506570460193,32.6771888253196,28.17379615148295,28.436844342316167,26.35001657555534,24.413101179020405,23.504959114955735,24.365094610359964,22.80345111923742,25.924320897022096,22.80298212303229,24.517003229906535,21.328759067763123,25.16984396947244,28.210941203013416,31.544456170755144,30.34831768875017,25.99302856060342,29.691118531137025,31.10066981010365,26.313498010898126,26.64194478725364,31.247658971760767,32.82349054993242,32.74825813994343,35.28539482344907,37.250078389306424],[31.27378991661045,28.726455353351774,27.345015832178152,21.589789090091852,21.616419209264254,23.21312636743854,21.30964224980045,25.05417279823346,23.397131707570892,20.48984026440735,23.03529717592023,26.943435081917457,22.877757081882613,19.98246712684783,23.836309356388618,24.88699967081109,20.663612487417325,22.56405038759988,20.914420302502574,23.995753930605122,25.09783824633594,27.94313244340858,27.39156624920834,25.21423540321228,23.815862115539588,20.55773550349902,20.652410428395925,18.852980337267763,22.44258817838568,25.272312437091102,28.230160838103163,30.069266464996943,33.96461289512537,35.307690719853525,32.493699728822115,28.816239259087855,29.53087975590441,26.15281990813336,24.88795604819575,30.117568328691757,25.012881539825603,25.811788439614382,30.08946656555236,30.207897798107727,30.723340604096787,30.962882679128175,34.768102109415395,34.25997091156519,31.914588340834033,36.79777271887491,39.1314901666879,40.83705003606657,42.06151165669434,36.43018800065777,39.50223810206046,42.77860326394596,39.7224245295124,36.7205252992701,41.048455584011364,42.72859221747281,37.07103418774564,37.93321171147312,37.05445668925379,36.126604505576985,33.421524360325456,31.79820385180079,28.14134598442648,27.13942132668151,23.55429549658405,23.975995346366854,21.907378729626508,24.12214203627634,27.009133450934222,28.397666103513632,29.649895743958805,35.48428632267338,33.82303351487122,37.95851727782981,36.490027853860006,36.673611470879976,36.167522882720455,34.91208919516605,35.04501770374963,34.64144837129279,30.44743303957532,30.099755732048074,30.38199318555614,33.566319500029586,31.429135498976112,36.304985986011,33.505413080149836,36.436323204762736,34.435315958497085,34.138173839074014,30.167675967963635,31.603883583569953,28.07747921545092,31.426403689259608,30.65070076970409,34.84483888262534,32.948646769428734,34.0769133237691,32.49921214209893,32.47795954913461,33.231431578685125,30.373556263263797,33.63409619678378,31.63577023609374,29.645015648767295,30.55265203927661,26.79796971105786,23.88822829601919,21.847786849594016,18.341421585948908,17.35556954131273,13.865259580230184,14.945012347396425,11.95816709119531,15.541511024117126,17.589567462175044,14.850822400428656,14.96740372761035,10.8053389391657,12.886876304093851,15.747116878105698,15.818080649955135,21.18139214127689,21.290708253444166,24.321954376105406,26.967104143141373,26.617524070802528,30.97779294059936,29.13032245920442,30.467696866836203,25.183172332539336,21.453350140848634,20.834292559247274,16.334624861379474,12.9745506011503,14.494966078123523,10.991606180069196,13.515470855459874,14.763226791734667,14.945531923920571,19.134795446920773,20.12507485930071,18.19788004743148,21.088523344221347,23.207260813637962,23.612904188173253,27.458367324902795,28.970151477572998,34.00581154810077,35.853000630512526,34.44178600400574,33.19348787840203,29.38661937932491,30.035255595759427,27.638568532674114,27.3725936024037,23.679007022381867,23.908354252446884,19.58191902447597,23.63220794162369,22.78030369674588,18.97669118097256,23.48920898154772,23.97938125864183,23.584479811633,19.59546019103197,21.323548093667775,19.107516700782952,23.30631539798335,25.599252382564238,27.35721899659462,30.39072082576627,28.990800312917237,34.200202137344455,31.394625722215004,33.20805583847471,29.433283490004513,29.31091794062189,31.74001333297953,32.7791560676969,29.26713571941185,30.233433459431478,28.20876978240849,31.8417348135133,28.48139085843907,31.220493605228867,30.923658287953387,30.5658548915228,30.200266121393152,29.27831795960061,30.8285093843044,32.19347658805631,28.77794320257129,31.919952292167583,31.507902712819757,31.266163656292562,35.539327972980054,35.181301354427596,31.180600831455994,32.691905488995644,36.572137267317096,33.577419247930884,30.37704559528493,35.18648205247599,38.1662872450039,33.28783440372345,34.42709311578641,38.23469827969256,36.39082795850339,33.71122386117397,37.59844954367118,35.973495386452186,41.331300018303175,38.67705241843912,38.818693793785144,42.71011270930244,45.84761824493169,50.08177478787884,50.279502290677414,51.13622089525426,48.11633389980823,49.43509752159764,46.08595339048459,49.004453386313685,48.7841571248781,42.451953081622555,43.86912794607195,46.73884731218166,43.00314432206741,39.92218333873905,41.39122333080205,41.892498536984654,38.429667022417284,35.01989307205342,35.01360685492111,36.12945024445133,39.87449877745368,41.17406827924124,42.81439643691252,46.57782995581526,42.99284793373284,39.64435536100587,43.67663172499344,43.67383510631287,38.66269513994711,39.23053834997614,42.51813084240619,41.005917592823316,38.558148117448724,43.35038357924569,44.50308178098772,40.84287337815365,42.228872904031704,45.94498737546125,44.12370563187574,45.79355667601928,43.45947820688425,46.559926093385485,46.40100923555303,40.62146494994792,42.3821745110289,44.34487063551132,41.744937899361545,38.46191995628232,43.67602352803655,43.381392870023596,37.858249028763524,38.20454218861449,43.092666221930486,41.666212399267174,37.686924262137204,33.85169746975733,36.753514721506185,33.45699502580464,36.706210246268824,32.0158854566168,32.103924206522535,29.599387190377445,27.966752670288187,27.30674689782867,28.47086138445435,26.86570412385637,29.738154571554375,26.183714704415717,27.692646024626352,24.051592950750628,27.81743185456367,30.399180182141798,33.63664859832309,31.871377635909674,27.91343440190617,31.766472928363417,32.59924153859633,27.554239000860488,28.43707255186192,32.76469533351275,33.84976045882017,33.49552169709403,35.92327798101928,37.99463517541031],[26.729061512669844,24.131606044830402,22.627396478701584,16.895126156716415,16.962608260184595,17.69153964562298,15.68273174291234,19.427938090927338,17.658283611714207,15.07294231714638,17.860009023382965,21.703265956313977,18.09948386370057,15.294832770310968,19.72101170492496,20.862968192615696,17.142824031017437,20.040596519166908,19.808643346283457,22.77521680876708,24.817348499084826,27.901256330192485,28.11359722145589,26.556814842550605,24.435862772051884,20.686625292800027,19.823975030021433,16.991741471184028,19.805143697466384,21.801235316140943,25.00602013619542,26.200194906882903,30.135923673030106,32.12840585499358,29.387852741425743,26.189767546785344,26.40966089025599,24.179320903022287,23.272548408101624,29.000178338812862,24.777273131489224,25.346668271059198,29.841246972813607,30.017402121910177,31.300001278762924,31.64368267273168,35.59751267956788,34.46416983085471,31.776099238210577,36.98016331242464,38.963117349265715,40.260648327017414,41.371655449976544,35.82950158727917,38.20288296338331,41.882040030598155,39.337657522218024,35.80259513532867,39.92668245913913,42.275526082294,36.75433019929235,37.44529628207471,36.03642341442907,35.89249230457828,33.28802118153962,30.980939497384302,27.518869059868837,25.605690554707724,22.359497177832896,21.800352887304587,20.232885044755964,22.800106813857766,25.23157271706168,27.34300434919729,27.73286561010177,33.8459795911911,32.254114592776496,35.97601612848928,34.59235402168058,35.1481277716048,34.078746802512434,33.14433869781872,32.467056709833905,32.475497945716754,28.650533888441757,27.818916742992965,28.594274380884766,30.991964297518674,29.387697066504163,33.73626489574913,31.044846671214927,34.107767498670476,31.614248205079537,30.752616332321306,26.43195360447421,27.735583059956692,23.881169851910894,27.05313950262366,25.863923676976572,29.720470903646284,28.420775633141286,29.261075006630573,28.344565503339183,28.074110620830144,29.540832249977452,26.320031094038054,29.71336240392945,28.072290624714956,25.667310642987726,26.153498716107833,22.09417952434493,19.416824317930786,16.75064639481232,13.801511852977132,12.772251438965846,9.946945638885312,12.091532363595576,11.288348602358775,15.138047413200031,15.492202870085645,12.442054877610225,11.231638097454272,6.89507104963622,7.824030582084375,10.210399214310387,11.22891254825785,16.358059640423452,17.112514347254752,20.50204460810009,23.599878738375228,23.79241612046526,28.235962370486888,27.05717771975884,27.81042847737123,23.012783819266375,18.760468434698087,18.613052149055417,14.180500906295118,11.138480351136122,12.502612198675884,10.835594621764534,14.63918911837232,14.685940251784297,13.57232681134716,17.889326005380376,17.706899031094768,15.20731565057623,17.153273614402067,18.869936458305165,18.55415677420007,22.30022020280002,23.467695662365774,28.58494378378356,30.176741021794342,28.952500872327743,27.944749051379073,24.32019206754506,25.091548686748936,23.148279731946232,23.09028455111182,20.24208379964655,20.996730308261945,17.495242155497905,21.96251159694268,21.930667487736038,18.940625877183543,23.079056736113444,24.530892287791275,23.57168394952004,19.403779299988848,20.287305631948986,17.58339340940125,21.498581584361702,23.22561213256604,24.62588666452568,27.107432676306704,25.478220047922488,30.903907512124338,28.779299294164538,30.449260837605436,27.353006307307044,26.263650442514457,29.52824013476629,31.162632963048864,27.81063277453522,29.28741921539506,27.404079133831,31.64661181637915,29.174941410943358,31.445390137983075,31.17070713391361,30.151050692884766,29.73331650877617,28.33468030325074,29.50865149127973,30.724637102206565,26.90538664032063,29.530612364425362,28.738195053516744,27.82643839928345,32.02672308875465,31.10050355731722,27.081260985580112,28.97250528689682,32.5148469265623,29.09125030226702,26.387039255972027,31.176604219911187,33.60165736361366,28.649380640494595,30.123331361409956,33.76738183405875,31.53043648619331,29.179926513669763,33.34664481188002,32.03002488375814,37.22669431294403,35.4493690926849,35.21735700778362,38.89861944302561,42.337047466110775,46.30216156899035,46.85648945241796,47.475261785960626,44.53121506264686,45.85260273980314,42.41585121204299,45.74970554960783,45.631156618359164,39.25348574589313,40.8044210041423,44.129371437013965,40.4497907803947,37.32064380422116,39.18711544449094,40.00482024303933,36.32993614910793,33.06916768952655,32.29450607947021,33.11550159237356,36.75279100128853,37.5382487238376,38.945287163773266,42.40470652963009,38.70690620664868,35.51454134807832,39.23524208682398,38.951603654550965,33.9579591524983,34.59819318798529,37.583035639123565,35.86831506527233,33.593281895911566,38.50978743170165,39.406326342132516,35.66230333029515,37.392247514434054,41.17454153052301,39.611176202264204,41.36289880898459,39.123258684410764,42.5146481532311,42.337073111689534,36.56375760129742,38.63412763073497,40.81722230725696,38.18115615635866,35.143942122710236,40.677403892964286,40.5059079210424,34.98420194251739,35.64447989210987,40.754726652735,39.400567007043655,35.436588631016754,31.36239450598362,34.882333192057324,31.448538493777676,34.089654505879714,29.088390287997683,28.661047234115667,25.58926100005008,24.636551034373653,24.262096801792094,26.072470202384746,24.379464485680202,26.752023803618943,22.61027718980894,24.249162735247275,20.131747232481107,23.260343522460246,25.57405405602575,28.597190488991615,26.60612651864541,22.749677788960767,26.5425089197196,27.0611452708239,21.95434467263345,23.064802615403007,27.22086150805278,28.1483543323641,27.71849505287386,30.160212240653774,32.256045360827216],[28.804872039538427,25.82256979749994,23.457820088596282,18.458257934920887,16.715439772712582,19.400563926783278,17.129232299304565,20.739636830311984,20.298258346170833,17.637994114848144,20.783681991321643,24.004504748602866,19.48127789539428,18.02386785708853,21.866284948547424,22.050099820670297,17.76933289564468,20.358234830432128,19.65213285143579,21.589802081088806,23.522608926162274,25.793084344747207,26.158756822149765,24.192497549324425,21.780872205845682,18.808239506593097,17.53914467424889,15.510864879615399,19.067639729832656,21.429119441811856,25.846625591568205,26.471312737416454,30.7869665321621,32.39849427704582,29.01847688633921,25.545982292088357,25.25516804514633,22.10073727635016,20.351643395015255,25.305875393164037,20.85454943577304,22.576490550573798,26.824797170404626,26.28965887989998,27.156457661169135,26.918611751513495,31.008081664850526,30.364229781453105,27.29434408241066,32.156435983753624,34.646375728650604,35.91108440534667,37.41855023890594,32.11472348907525,34.859345112581515,38.57493170200869,35.994796199715466,32.972327890265504,37.39129652064687,39.4269061125176,34.216614981077996,35.699956934562074,34.83241774926407,34.74335376025205,31.48286214387623,29.42128716844759,26.92621045373236,25.569192583443602,23.137056397459354,23.445197106715867,22.239605511074412,25.315852105978397,27.157276565160146,28.370225516790313,28.51316256481235,34.31146436915838,31.78056851570426,35.62947496086898,33.55305011049263,33.352081235188706,32.06046284081203,30.29462509135228,29.848462043915333,29.07183973482246,24.97415146932536,25.11252490796937,26.28793504478415,29.316997156706044,28.23274112527793,33.29016485488863,31.21966498406158,34.846020734396355,32.787368638456776,32.076043414542006,28.01571754268798,30.059334266107722,26.49575217513309,28.604791545226227,27.354518816035394,31.074310586620093,28.70831246661639,28.99557663579617,27.265312929179387,26.59211927408688,26.779597013791783,23.843337677467357,26.902750113908848,24.754464463504178,23.01758492061799,24.110508511307295,20.72021094232065,17.668749586659523,16.51699799005295,12.670814701464955,13.140312662412873,9.475270770817536,11.57298279871305,10.010991976545784,14.6937187343096,15.94629757921092,13.969667624186656,13.392458295505099,8.909680496504357,9.603699870121519,11.892315005437668,10.071485399640522,15.570673911299469,14.876763437287705,17.658178614114444,20.058840850103977,19.758377160382494,24.02973009953588,22.183789666551164,23.48323179019742,18.20458985594615,14.4662279830052,14.105301453421522,9.439172274647614,6.112454533208868,7.952518984898234,6.346667312047427,10.107172127554726,11.244851297409522,10.176172438262794,14.451539850191642,15.401449221651454,13.058992575263034,16.007470858645505,17.61142637226757,18.680282695318617,22.15771786465889,24.574208256541343,29.24061626954125,31.95268082822707,30.69888340122732,28.82868771225594,25.00057219534494,24.84459704883228,22.683550629141827,21.402291507204435,17.371257763390552,18.394132845910107,13.595484332308773,17.958615337405718,16.78427094420435,13.06891096596869,17.241738888198125,18.380673629425186,17.553200122728267,13.401159834029777,14.65376218227894,12.336399715342862,16.720501658155282,19.141027566504167,21.252076403977473,24.335055115931866,23.604449113490237,28.547478358610146,25.613067669337088,27.03292391354172,23.094292383304364,22.629189384107928,24.95603897746172,26.10702163405956,22.689885413848057,24.28113741411717,22.802146927919818,26.525064655064867,23.70506917516558,25.786975626592668,25.291649038436507,24.4438479519311,23.888440827900965,22.692848211067815,24.116669728524673,25.558535241501875,22.163727838650864,25.277052313778746,25.17517091438282,24.748701012646425,29.26803249396647,28.925739771261476,25.05228328197396,26.94135755279809,30.83066129262438,28.11431869866734,25.427940815934438,30.163125132213487,33.052506189987874,28.825658042017256,30.245121715734534,33.99467355092673,32.38023412027842,30.320647252975142,34.18075308866189,32.33579749323117,37.43849439300991,34.76817142511746,34.326581403838894,38.14051199574142,40.90835998870759,45.221599895252304,45.02928998943348,45.512592032705875,42.25936823727959,43.27063039162476,39.72576442905917,42.54945169257241,42.63232151173735,36.30913857349209,37.400763143272655,40.45108155952743,36.96026137520179,33.65186817303086,34.98442920209861,35.97127343939103,32.664113469341416,28.74868012974866,28.854139726971198,29.434048659970152,33.20550520416864,34.70241010933672,36.18842610923146,40.099615214397886,36.46299302985767,33.19001458020192,37.540428758194345,37.562911618050016,32.59016692518265,33.433242352028806,36.96615165558325,35.70700656351124,33.42469198604925,38.127182297237006,39.55955138668639,36.34433993932257,37.614412725893956,41.144423094036824,39.16162819121945,40.39054963610982,37.70960973294785,40.70268416888904,41.020112738148946,35.28986826611603,36.575756084557256,38.87625320101681,36.57506187710428,32.929526943438105,38.06532902817036,38.36829603962426,32.916706346466206,32.782305867009434,37.90150634674679,37.04002076851868,33.169485738525424,29.618456801387662,33.012097859541605,30.226898172965242,33.261254722210886,28.75649356798317,28.056062831940537,25.812636669051436,24.91267988399353,23.656097040865223,24.763560554503204,22.47158219412643,24.60143880079012,20.685699077969332,21.509308878471995,17.88522688392504,22.383062095949057,24.675250028154128,28.174791380930795,26.490465097663954,22.787737459675967,27.113481108530856,28.178071854258395,23.2554671489852,24.76253232574438,29.182235168018096,30.670812662207037,30.1510520224845,32.60329916413602,34.49563551045961],[32.76507621729167,29.906613162660577,27.802693916163943,22.585130038821486,21.221224509667614,23.748452848663018,21.408268723520052,24.881607596988488,24.016852384950003,20.88397996731313,23.635091471527446,27.11011937146286,22.349580988776907,20.39403405768791,23.7974443581606,24.14074938041531,19.555741046926837,21.21903987080344,19.329282929490162,21.59440825992479,22.683896718072642,24.932305828571945,24.592131946877927,22.20221085586039,20.481741602797545,17.763758323425805,17.526228740383164,16.316230063566117,20.358658494821498,23.43654069235413,27.204147852100586,28.64282341849704,32.77820839738975,33.82674438999016,30.572837281649125,26.724040753704706,27.1180244491037,23.120905301214055,21.33888838323493,26.03984325213149,20.80505326053784,22.318467398129332,26.419481581117317,26.098606536343926,26.408589261774946,26.344523099544165,30.22910791716107,29.939087124226997,27.388654376215094,32.102958551185345,34.664082200298886,36.347242720205486,37.7728159648169,32.28231468514839,35.56902504151872,38.86184922502208,35.80841163591098,33.11855962928772,37.61942099423399,39.126567920457795,33.704253201756586,35.11339199477998,34.58658237206711,33.79477630359221,30.60913242113679,29.102675097115764,26.219110413205726,25.556357612153025,22.68862153641689,23.688327433520815,22.01785649240294,24.741089101138574,27.001491268373332,27.739274051783017,28.659341310228953,34.25165039731748,31.86816377991356,36.05269897405395,34.084983313393444,33.74990727688067,33.095573944146174,31.31926620061158,31.657077575864893,30.788330638114655,26.446862938876258,26.672601425558756,27.15625678021356,30.749216860004264,28.964596725816364,34.30725878054229,31.98143643117592,35.34695517360709,33.65757949959731,33.449643056055805,29.68284930306086,31.692554004723608,28.395484691780133,30.92847986816872,30.154914024241272,34.31287681109216,31.59749891994247,32.47927560708921,30.270055006038604,30.162908703719552,30.1207648898741,27.642070188670232,30.790345826846377,28.62925073240922,27.232788720738665,28.324197967193438,25.1455413263559,21.823714183451138,20.684020928987408,16.625346041248424,16.292147425541035,12.387455075167553,13.209048152452441,9.764204944425812,13.87986384640035,16.438627754366674,14.54830192112385,15.018116823556882,10.849826887692847,12.812341523953194,15.781689269429943,14.454394634013925,20.118979286514104,19.22317214981931,21.867796097328156,23.82349798876887,23.51103164163716,27.583123686227534,25.23330044260213,26.69042852271673,21.312114095318297,17.994711568341163,17.701396962378677,13.100294499054804,9.69778370266971,10.840445106990899,6.899216005408943,8.979049978135373,10.96592827720052,11.375846352354124,15.364237364324135,17.116895838695907,15.452356627186356,18.97198096357596,21.127487192085912,22.465166906905424,26.224593316628535,28.50557358350291,33.22111877434912,35.88535867502562,34.31110249551387,32.4195137574794,28.446554029177836,28.554315035013712,25.89570520299743,25.012111217565646,20.60706681390529,20.748706185730523,15.782084522134017,19.561309329278814,18.1420028071945,14.126391067078533,18.724723658967637,19.091204505645305,19.070023113884826,15.14293899910166,17.031594446331226,14.910922337271002,19.073201855230675,21.67291203511858,23.742514453353476,27.135058957368816,26.23451633174707,31.085177825964646,27.77200219781821,29.496646793005734,25.281412749149457,25.731212814105064,27.579976162855164,28.310849956076666,24.759744488141656,25.56133870260173,23.675152502187085,27.01584372971645,23.502031074635905,26.211338101920298,25.920545950489245,25.69599259286814,25.46558899176267,24.818589976557465,26.63058248167655,28.318606001693528,25.34884414697767,28.771055025365015,28.97330596888987,28.849815112521682,33.401613255130314,33.26759145615752,29.442740291710276,31.202935468683165,35.19597090598583,32.61196249347188,29.742431035475306,34.477118042878644,37.53950516441276,33.25919515635144,34.542016844489126,38.34805791614247,36.788309822381144,34.52480104488255,38.31838453350721,36.41511066128634,41.61973731508438,38.611662672883625,38.41080144726099,42.31149454686186,44.983648982893186,49.391366038107805,49.07095346074395,49.66907653364828,46.38781559616666,47.3713272639756,43.8487055757369,46.45043534381296,46.530847454985285,40.26190919818965,41.22600848912836,44.035944826735424,40.56604461253513,37.2797073043026,38.317026451037584,39.166980168150616,36.04122751601146,31.997879919679598,32.60609350211794,33.23001141395989,37.034289873228325,38.81321463445308,40.31759208116794,44.34599318524056,40.69511066211793,37.46612210673191,41.95103949162174,41.99227043488302,37.04247000837711,37.936912721028705,41.51442063788474,40.27037440068468,37.98662245924859,42.67109154255112,44.122038122434965,40.874859028915175,42.11043747906416,45.64430994752879,43.61353973454065,44.84103894616374,42.138040342062396,45.022774320187075,45.347161754520606,39.62884431294705,40.798280510923,42.993852161734054,40.70267998224916,36.978182959124744,41.93189485974834,42.153202239589845,36.71778059585791,36.438208816896115,41.40060311847521,40.47590397446058,36.60428506779827,33.169121163613376,36.15715367445037,33.38606839267897,36.75214242782078,32.36443466307497,32.02345414102853,29.94219829363287,28.641018998628553,27.394542096842542,28.211575221152728,26.075697409702943,28.52169623304028,24.92425452029042,25.697655665803328,22.2830546030526,26.910111595050477,29.218003813781294,32.73349222586579,30.971206347579756,27.34556845416673,31.653499045650225,32.64592526366942,27.657188207017647,29.132764743863277,33.527670652203284,34.87780644745604,34.317615344529955,36.7338782555728,38.68255972894097],[33.97876845878982,31.22065267147127,29.214841723485506,23.845358368716575,22.687052908914563,24.03083595388081,21.22421078808878,24.230019604757572,22.674442226714152,18.968215329001055,21.182621427475116,24.8644269288264,20.101876465430458,17.58308483946431,20.605183226779868,21.261450497663464,16.69876583641279,17.911769571356334,15.764918072108715,18.673426068027382,19.647139046128245,22.435804329031807,21.965317697887702,19.928317445977996,18.386583092480492,15.073410566199055,15.327595522608702,13.88759093413958,17.743292681191782,21.05822069810512,23.933740848685815,26.0733490190582,29.924024682255666,30.779873139028442,27.88243815642716,23.977988491055715,25.011560083406554,21.136263306093667,19.948309606008173,25.19134729281428,19.98437053654155,20.41900967667229,24.68962598501186,25.0344520158672,25.68940651094209,26.300599726550843,29.990820883743297,29.188603600256485,27.15109183701334,32.20711140600149,34.20021523484449,36.0278348202583,37.02807720203051,31.298972306333006,34.41415795987372,37.52190159633139,34.38718785555903,31.36983360249159,35.66890373249714,37.282683880355236,31.58531440337839,32.441235811288045,31.645303588031734,30.704026098779174,27.921853531510195,26.34013573519301,22.81764169397954,22.045969800319597,18.722472077947806,19.678950728778073,17.785956559568003,20.35119197095638,22.79716772451099,23.67167438924088,24.872911310863866,30.52935090103172,28.604508053930942,32.83781890327744,31.265207768515435,31.333783369354034,31.066926285581292,29.877107392228837,30.43480170156316,30.13399888088462,25.897320799339738,25.381332055981353,25.256777641075576,28.697101711422068,26.285857172878142,31.37643348614068,28.660356357343684,31.701149008647807,30.013868117609324,30.00764103664825,26.36084260311526,28.178199072646393,25.047151657447536,28.054307405019802,27.69632755455498,32.26637974491809,29.564275427302707,31.24004475873992,28.950488898153502,29.632866669602127,30.21780469056256,28.071814404017847,31.707665606149973,30.079276979861255,28.728627382040557,29.160223046465873,25.980089819828127,22.23995461412525,20.441992774722937,16.435410130155333,14.732599228727459,11.030561168832454,10.825603116067468,6.946943032702152,10.294087173161977,12.930289908955832,10.810717490532754,11.87474095076898,8.41874598914565,11.406787527046786,15.059623900444018,15.016317193051696,21.073846448843838,20.3734382225247,23.389268392251548,25.18718534632433,25.831741286531898,29.78757825958445,27.528885516725733,28.24567366275837,23.35893527109629,19.70233436560744,20.458504202159578,15.526295927987338,11.998079605439465,11.903922445142404,7.634028333567429,9.270114432265148,9.798671710584154,10.576944484015145,14.409332026857134,15.659545524239128,14.333291602636269,17.717984499561126,20.437324124452772,21.526812489419832,25.72798313772845,27.44206896128285,32.28470621177027,34.64260513012853,32.62254651380857,30.900285139672352,26.856132998591853,27.58825823168331,24.497999780850197,24.64768321181862,20.62369706699,19.862361204465255,15.82955996644684,19.38685142383988,19.1404584596536,16.227397092148262,20.97156051138988,21.870911510307515,22.248409424030953,18.25043954470329,19.661170790075776,16.76713134691948,20.17329162883353,22.155643713200348,23.548050925335072,26.713549820126513,25.06470911099352,30.158756065940736,27.18343557850047,29.335264854087995,25.714555587854466,26.317951240961676,28.76372682530606,29.780502561860978,26.17609088840105,26.325945146514243,23.792298966279816,27.62322273062456,24.52475938365595,27.609274501356694,27.825644696409903,27.57275976297194,27.91223360369275,27.419953503312886,29.33304377868366,31.305224162047114,28.363379095087716,31.601109982486886,31.82283592002979,31.122953390387362,35.79915305026304,35.13555969019934,31.328374081216985,33.58796723123127,37.31298854345237,34.328550942375585,31.958865294852068,36.70978072626276,39.242702959339404,34.85564963924976,36.4469623620915,40.11549888802943,38.08771734622949,36.04345410691483,40.127099754559815,38.54770117890712,43.682089815566776,41.36652549491168,40.97019988257409,44.72725023518234,47.66669834327236,51.866698160922255,51.822912108383406,52.20613545177367,48.92955667167378,49.81668617860987,46.11014854967616,48.98255500166742,49.28896373318939,42.97600753534775,43.86371385064814,47.039807977591074,43.69558138928749,40.2821088913746,41.41112516028971,42.62039880313592,39.45058335271918,35.260759767928086,35.57782633824429,35.692610649141464,39.46401289850397,41.01254033755722,42.13070090342273,45.962827378790344,42.01179864289002,39.13284867698171,43.50664954476651,43.09595833570426,38.18050761486381,39.40130460499576,42.649628503337205,41.14406177141024,39.184083187290724,44.04550705512108,45.168484618227815,41.802411741790415,43.515847958527864,47.142797735703816,45.40098745327827,46.687209603056175,44.003943596886984,47.16469486129867,47.56146419588388,41.832647564823404,43.202950909395526,45.63602193113518,43.328079889848425,39.73971701359934,44.91629595395372,45.25971409124981,39.80128971565962,39.68403794152705,44.80039022799667,43.91947372740808,40.03358079722366,36.41725331390419,39.70150957005248,36.74625061987978,39.8178037684326,35.155563455211336,34.60768044316996,32.0172891914153,31.067118309614525,30.14403858156931,31.390492388290962,29.267748910208503,31.470478727710084,27.398011126109115,28.121624327013045,24.227775851206264,28.496814071862694,30.337292624321684,33.66408343310224,31.34282190501067,28.130168700841793,32.488853976632264,32.872280613760275,27.692296481419408,29.67471736956453,33.736693460453196,34.57331828523933,33.739164944143106,36.01573995040872,38.0585885659194],[34.036311981961084,31.35294154570282,29.349730417120565,24.05225919135512,22.858921502800882,23.567083617049708,20.488660111138948,23.145613591314856,21.3018874775093,17.335280059592836,19.254799515782725,22.96255777020216,18.23698085503969,15.525463124241185,18.341752512099596,19.123147587842027,14.646472605553987,15.767296208637932,13.779250510732972,16.938242962530357,18.05625664004427,21.136458009122013,20.79264979249025,19.099743386447752,17.46665944856486,13.80389882652202,14.052956493281783,12.320771661411088,15.903226575786572,19.197193312944105,21.682800409872808,24.05123801889457,27.761884845935768,28.60925181116837,25.88318108604054,22.037799399183587,23.292632234531723,19.68215198493609,18.858421810050718,24.392290253713544,19.4324113311322,19.317240371300837,23.66136714908489,24.339273515367907,25.318536749695035,26.273910412822534,29.865512871949445,28.68623497426424,26.844445330489847,32.09435545102255,33.722971018930004,35.52524356202207,36.29112093714732,30.462123766153642,33.35815331856137,36.47756978345199,33.41830584857607,30.14629622937243,34.31321924940534,36.118103912957054,30.34263910594575,30.92448037388276,29.897860662917445,29.075742063078792,26.491475724318867,24.72320837519535,20.98889621653565,19.97336693551058,16.552821174440506,17.305736511992958,15.43940263176806,18.05960125529238,20.43389484574826,21.475565749702056,22.611908202938775,28.339214939338888,26.60840579837393,30.780659683706503,29.39258645371228,29.704908753003675,29.50955852794152,28.650733852070392,29.16526985858179,29.201431608532644,25.113961029520553,24.17046842672519,23.84135559571718,27.05706657640253,24.460648046634233,29.342567218367982,26.484152314643087,29.413057787863906,27.65762818334259,27.657800580912088,24.031440059178955,25.77070163403755,22.704810752277712,25.854677293022032,25.659232968776152,30.377862228687988,27.707901667751415,29.731547390556774,27.463728926777993,28.51534028629126,29.47038577743457,27.497704924811874,31.387562280392384,30.065698340134812,28.73811311978757,28.78857538034915,25.649327346440952,21.726980517021357,19.609019129486157,15.740322186154582,13.339128648831222,9.955155392097668,9.235634077621684,5.6498524965145345,8.55473975427811,10.777718308474165,8.526187570494473,9.774908109211724,6.918757012483266,10.324534662382275,14.205107729305535,14.835701820892574,20.929662325841946,20.320207206488114,23.48252780631265,25.19035154416273,26.39653530893097,30.24455120992159,28.11515432069143,28.380319551440174,23.851172224992297,20.039052654728078,21.3839140249962,16.404505429004676,12.976565911583076,12.202288501581927,8.275154929871404,10.007696606051447,9.450727796731393,10.072947243474859,13.705962318096573,14.476091511598197,13.292443934765346,16.42679866494574,19.365635224216,20.287556851296582,24.657984092075278,26.070544832663963,30.920416558314752,33.13907259006702,30.904142002533796,29.257667246161123,25.215115977241865,26.24810012061768,22.99580899343353,23.684521040871285,19.98332038155186,18.82566937728348,15.460125832568549,18.884461226306815,19.340827091612493,17.13914275605027,21.801884494247272,23.092941210164778,23.563313164810783,19.557746393130255,20.61562652424018,17.338781094994427,20.26827220880674,21.8419735055833,22.832698544478188,25.783428680674806,23.754737955304243,28.952084995663323,26.25021603740601,28.57072688299404,25.374297827566092,25.931107155332167,28.75396965458937,29.98583787912751,26.40925697064058,26.32724527770041,23.528706494453672,27.670530267029065,24.95357812832507,28.120092676898295,28.58708780708883,28.172118563676744,28.779827082943008,28.29753126123611,30.206998765623766,32.30495982642144,29.364483503545447,32.42605164969648,32.6473605280875,31.582523507277504,36.2996884575455,35.312450390977595,31.557761720669593,34.128123908401136,37.65535984143607,34.46828693593367,32.470795132317214,37.184940711494825,39.36443292643348,35.00216946676564,36.79959837929329,40.352806897488456,38.07336466205265,36.24934342932085,40.47531907273208,39.08252586207607,44.120747672952724,42.24887877663582,41.67142462692818,45.3113235944129,48.37313594057451,52.414680286454725,52.520657637374256,52.7409628966996,49.47044848227047,50.27606959000402,46.463455000909114,49.49856847775395,49.95830528060057,43.63887925968927,44.46685258017026,47.88136086170425,44.63790015962497,41.14785279099255,42.34277245178761,43.80970309394702,40.62295266050049,36.35027678455821,36.45787414705048,36.23607499582649,39.959582075468035,41.34987504525711,42.22035466667398,45.917916514507944,41.80293220783022,39.150072113093756,43.44113905901752,42.765907875708564,37.902138511678864,39.325073365382764,42.37183061055002,40.73539915340248,38.99512222048236,43.92789359867029,44.8692974008484,41.48911267299041,43.47401879082113,47.1228940229231,45.55212161853373,46.83153343882025,44.14817295994169,47.45885876007574,47.93215835809139,42.22935981091345,43.68432141464064,46.28025151672255,43.99561181869891,40.4870636695411,45.77638670330396,46.244700495338435,40.803338238559405,40.756293314176034,45.97928748494819,45.169307193879604,41.30065662977325,37.60899235953715,41.12523011028854,38.11425340556962,40.96134412080689,36.168112014733886,35.41135839976953,32.54319914341255,31.901486295832868,31.13136829516243,32.632698269654725,30.47122596213411,32.43465927760676,28.061798530802413,28.71935383682818,24.57962346346068,28.604554536842077,30.140296718794904,33.33294356469176,30.705304982565426,27.799014219229342,32.16692489640636,32.19533617513441,26.973195488758257,29.30242567770707,33.10680235546979,33.68844682113804,32.65377597018667,34.872064416774506,36.92702435652246],[34.51602310376061,32.03802537636077,30.333339523068116,24.927073511802693,24.216557673741963,24.409662003431034,21.433390627621886,24.00008233657826,21.702680979428262,17.733603607605303,19.296207092046828,23.177758512343622,18.845239614177913,15.595647922582714,18.346146100185532,19.533145964134416,15.371393519849107,16.307332882533164,14.332546851274675,17.899523328291163,18.822273976656163,22.153117961935028,21.60446081461006,20.044315576614846,18.745446681323287,15.020283686254514,15.605065525640699,13.845821602876992,17.004172387563813,20.187272856279414,21.946815294145665,24.705490313171495,28.155505476571378,28.999575761077974,26.599586445058,22.86125716088152,24.431793928272864,21.10165414748756,20.598456957117644,26.183732080952964,21.305864049907647,20.779418787300912,25.049945495362874,25.996983079054385,26.96923809199917,28.117341900023693,31.54970740670127,30.310835427000452,28.73301992212183,33.959697529143774,35.4349093608105,37.29880989445071,37.91427556528774,32.065288915623796,34.87238289520647,37.88509339611711,34.789707965339524,31.431806167126112,35.45995421815239,37.27122125672178,31.40706057768864,31.666147754704152,30.495181985976444,29.5133042491698,27.25652972031045,25.531069400855657,21.377539789697934,20.30278190052155,16.472091030015722,16.97529439179146,14.824292771000295,17.037492530754793,19.78654450237403,21.1104001833227,22.547068808231455,28.278164969006276,27.006415802825494,31.147075222529736,30.081583951026893,30.65177992264745,30.67276817335902,30.124123476629233,30.6708089405958,30.953396434546576,26.99457964302564,25.773574502998724,25.199383052687367,28.222115477608,25.330636981829063,29.907441190875716,26.775209517656457,29.36731016849473,27.548031867310577,27.62578703706852,24.03371843216897,25.44191460098657,22.39939704364293,26.028353499186952,26.00105220005236,30.81347825050244,28.463855766958133,30.7857704650806,28.720953778477078,29.990050540254618,31.271289393168583,29.310502113924738,33.27227962295037,32.08351152203256,30.620396648230898,30.52497206055259,27.257965018777224,23.45015191456837,20.982833759878556,17.430117313343953,14.607545930338453,11.716298797980004,10.834884449417158,7.8679972969837815,9.609719932866442,11.450269244448837,8.865641847070462,10.169098421848725,8.152040590472211,11.523301123721389,15.266078200487367,16.57619267471563,22.466530226616374,22.183522495681494,25.440203479261722,27.287892322192615,28.561892282108975,32.43227302989487,30.426122468839324,30.59995217426962,26.179923258017826,22.309484075606917,23.63322416893369,18.702480898806847,15.369618137245466,14.638519843945078,10.734639239674156,12.30031718379733,11.762497317986309,12.427895320718248,15.819425188007465,16.30589537798845,15.219651424074561,17.976013432172202,20.93401201392866,21.46816248112849,25.876125762710515,26.855602099898793,31.780781795451595,33.60566238354036,31.31722946496855,29.965528886210066,26.02084501983877,27.395437621796532,24.17172136204682,25.303548514439196,21.950350118363072,20.652998649477436,17.72921695774822,21.016530357784337,21.703948029243108,19.60894017255329,24.243426822857092,25.49755860323357,25.977859014822062,21.990029383457248,23.052535104826884,19.784264025304847,22.607912986007282,24.020362281927078,24.80588626858125,27.571084413461087,25.26989578083459,30.522306368897077,28.05989104630086,30.455761880352096,27.511910155294537,27.99356161287975,30.97972533948506,32.27808683483438,28.733524119373396,28.54968919924297,25.62551747649719,29.787652757000068,27.119033475188317,30.390361403788198,30.94200996285192,30.544658914979024,31.189227204018888,30.70400539122204,32.57995063977561,34.62705185600271,31.633479464829964,34.60546845143942,34.67765694528734,33.54014026822145,38.17550020796596,37.068555691500926,33.288839127992155,35.8362439887283,39.279603133964244,35.93661462535499,33.92588029689286,38.63336461780073,40.70074919582871,36.16346706656392,37.952246291391845,41.46412056536963,39.025395096876146,37.11685566528026,41.39244023767126,40.147944292931406,45.20240939889907,43.53816772071567,43.047124058021744,46.6531941628533,49.876460471034335,53.82804208599967,54.11886364914647,54.386771037290025,51.208466496224766,52.090796580549814,48.31264852107218,51.45444295552848,51.864771908090056,45.53309596324315,46.46759329226004,49.92583753206561,46.63106077757018,43.18866673346758,44.48616209344551,45.89231310796436,42.62911221498138,38.50591885062102,38.455020134356865,38.31432968983101,42.00330683644207,43.23794844423474,44.08579789301623,47.67223996919176,43.53838549191125,40.92266230562989,45.050079822376276,44.28671255824418,39.44116583082106,40.81864007115392,43.70394654615918,41.94301998920103,40.2273359754694,45.19906030357488,45.98014388677206,42.463664423901754,44.58113848013116,48.2893887960933,46.837594855207996,48.25547897586336,45.69423447855592,49.09510372911178,49.436311612259054,43.73456161701304,45.38235249834099,47.929875781871026,45.559884337778165,42.20574083766096,47.57273542894954,47.901958121768075,42.44988015228175,42.58537563281034,47.78638387287074,46.830123386507445,42.94628307768703,39.14101016708111,42.62669736188223,39.457204653776095,42.24103324099488,37.3475890202659,36.71819157171573,33.671216871120585,32.96154013494511,32.41291178154602,34.038621562012466,32.04256516512418,34.122445020630224,29.71923089085719,30.596594994262794,26.400287202172873,30.055864578270242,31.60778782898441,34.65474346579196,31.936295219310058,29.047049032232714,33.225530083158844,33.072600596323056,27.834122292843038,30.06018066873671,33.715364421462475,34.04736862322754,32.982433824848265,35.154943852897865,37.267383780611006],[35.71320577730073,33.323264270778566,31.785231035145134,26.320732184255096,25.838892304924176,25.761137031163994,22.84098043679429,25.28920910579383,22.751760637310625,18.77689413433899,20.04125700109895,23.959228991958188,19.854798625175196,16.377851557831967,18.859928380249233,20.245288436582864,16.32238196982059,16.89288243524663,14.702792427683402,18.485886817495484,19.11132982399234,22.54200635725542,21.770421087570096,20.310945687369347,19.34118171185666,15.644533008454783,16.65095036191899,15.063465526411427,17.97180234322394,21.159610557149758,22.35360244673393,25.44687217179147,28.669899475931018,29.372863141158742,27.20897098184417,23.50947780357831,25.377091833724595,22.113552342099386,21.817156074507214,27.347784267129086,22.467759055188456,21.59926300526683,25.760417343852954,26.908177532124736,27.840108780228515,29.14587527681074,32.43275846823632,31.17406229324005,29.839063112472477,35.03694922391655,36.36876655575554,38.323364327473,38.799359636524485,32.94020828095379,35.749563915509434,38.5979383283465,35.43778315459145,32.09680150389984,36.002504673436015,37.72816837294263,31.822063093289998,31.865958726262008,30.66874362558194,29.47083459607567,27.441870006027635,25.84780157650509,21.39994576817693,20.450560260976328,16.364105957516475,16.918683387096667,14.561226924324341,16.42046012819626,19.404248320970485,20.729469683173363,22.471239062158723,28.090945799727788,27.124734010167604,31.276971971459467,30.438627225014912,31.13890713659307,31.421025755341553,31.07889085249602,31.779774864733408,32.22638019831348,28.324819918266414,26.93579248841452,26.09367869794751,29.06321904091868,25.882925949773508,30.286346972715354,26.971278962033207,29.29402270455732,27.53852935779845,27.777193355386718,24.337460826223605,25.550240480995832,22.665555252690364,26.542942085376907,26.709511341172163,31.612450101629847,29.364082806515274,31.940531327803786,29.90486923086554,31.394705748683847,32.824216126959115,30.954483700012407,34.96011601851471,33.86898452917787,32.396054165947504,32.20249700373221,28.93026066388677,25.156188067331815,22.550393108123888,19.15877157889341,16.112915287043794,13.506495555698626,12.412808840299611,9.582065322048296,10.419837995834785,12.276758867155774,9.84055506681015,11.3053282937467,9.899930903736994,13.160388567357556,16.78478833803243,18.404519560689316,24.164342889256204,24.00672823264442,27.275188814200718,29.121248608341542,30.466474021505277,34.30518840789216,32.31396620345573,32.41531850213332,28.092580456372378,24.25342485536869,25.59372805234193,20.74647365012089,17.47731357059514,16.705236300332874,12.86360046882407,14.1285834608483,13.455478061299935,14.29323067752697,17.379975592636338,17.78441179536858,16.882644775510254,19.469962852343123,22.480551800148657,22.866634349062153,27.28897265161208,28.026253797899816,32.95122774863496,34.573054629363966,32.1841647342925,30.981453434849744,27.101341141627685,28.682364283814454,25.414284212416202,26.836246514733205,23.65232414972909,22.148486128928536,19.522626776193775,22.59651579247354,23.433800991714655,21.494922568500318,26.074523766410298,27.258005726553474,27.84210868597936,23.92258374531033,25.002808195376495,21.75449549430964,24.42638134778533,25.731762851531823,26.36400786459814,29.039128653386413,26.574348244346115,31.782677319073233,29.42895353381061,31.91121214941428,29.1162812244751,29.68316963388526,32.70146445490194,33.99123644553795,30.468898623032633,30.09647464262797,27.04870381534813,31.178486270059526,28.48805776800798,31.87682377647029,32.51089109926464,32.222376915181776,32.95649238111006,32.54694891022306,34.446655179027665,36.50826292633827,33.53486036112369,36.48552366578596,36.52456915515597,35.364607414452536,39.961338352559316,38.799835680933626,35.02966502620208,37.5691037507527,40.967661894712336,37.5605335633884,35.55760800998605,40.247145889512986,42.25042703837488,37.638279884932125,39.42097236378393,42.902395352034766,40.38246324331108,38.440326300754144,42.72574517494106,41.558721295479586,46.61971430802926,45.05065229074175,44.612164626776355,48.20114105697544,51.49430757680059,55.41666500060737,55.785055561649045,56.06269074897732,52.920022855746694,53.824627386516745,50.05770930539492,53.2298329811935,53.628756141047006,47.316236062257715,48.274238361675955,51.739923651823005,48.44603197526346,45.02394171354243,46.34126276260691,47.72573417041508,44.43632539179897,40.36344806893848,40.28236202208588,40.14997488245513,43.819118975072634,45.00518091549974,45.819536578261825,49.348198575158364,45.19817900936036,42.63623864936952,46.69225201172046,45.865408333251395,41.04183385075499,42.421657732115065,45.21504261432088,43.39168911025741,41.71101936854669,46.69447302036119,47.38733983638403,43.81300044050077,46.00303919265084,49.73746646872287,48.352239314091406,49.829545698573114,47.32512515764444,50.762159796134554,51.05214622630638,45.3637440444793,47.08869590764466,49.615370250758446,47.210740994092795,43.927313720174006,49.32013733477613,49.58239211639875,44.12847119248085,44.34003247929718,49.510778171205295,48.491812093071715,44.605824734064385,40.754268155426715,44.20277176259499,40.95259069947337,43.73628560226403,38.803057965523934,38.25363202934457,35.126362623651694,34.363109956429234,33.94408446737111,35.60804057263189,33.71240481323784,35.85033128829077,31.45874005914437,32.41430239591706,28.206165642635337,31.696691813530038,33.22575421204393,36.184589836727156,33.39988858490497,30.56554569149455,34.64243551608327,34.36591589096912,29.153944242014575,31.340296428038656,34.879279949334595,35.09492590274379,34.004119016214744,36.177870148577206,38.2986647441844]],"stdvs":[[1.0946245519172586,0.8953531805812166,1.2069687785184908,0.5609035329629717,1.07652221806001,0.9266343417618675,1.2118959331239405,1.3754395548215363,1.4672805352112084,1.7256649510779076,1.835877473122629,1.800777060087905,2.0518556224840614,2.0260374753055923,2.3611477485771304,2.311678713920886,2.437373596855068,2.6128523546529347,2.7084928586584027,2.7632498104228747,2.839413789026643,2.7560939474651076,2.9361327889578113,2.900911770517138,2.964098789483974,2.818928291782626,2.792035402021068,2.6747003567796304,2.628118325636013,2.4112226791547484,2.53768650220026,2.312023048591004,2.3429918261369975,2.500500559253715,2.5058867602003327,2.604755516701766,2.4265265838584686,2.548723617423726,2.5384348806662382,2.4689516096655306,2.6481975668952518,2.743717653972418,2.732448253761171,2.805226117208648,2.704670141478861,2.277450865333342,2.655108355784756,2.336345788230245,2.040768939814456,2.0888885545773217,2.2405543852893097,2.9892622627325798,3.154084232026193,3.5913481649411976,3.7066371178801414,3.454055308720352,3.4591863542078327,3.489248643479987,3.7256668901045553,3.4963814532384596,3.2138188265875924,2.9184673917866135,3.189673001460249,2.8699219176535937,2.734418942506485,3.050454705848182,2.7926751500535145,2.730982485648875,2.7144012476176496,2.587939312189378,2.4728401312560297,2.4503041050851784,2.548546699363793,2.664540929691153,2.6421978433098494,2.831860832156916,2.817714563435193,2.7482865093038744,2.738174585209796,2.710993615846737,2.437667925829856,2.4474885695919117,2.144306952877345,2.1911421193672944,2.209354827289924,2.3839358106955286,2.5689614699615055,2.4507345882416667,2.671700463984586,2.6197098340850133,2.6810518763540694,2.7657636003631176,2.697933161620081,2.5332208928767668,2.4285679355631378,2.3574734012984275,2.3027447072053073,2.246528520398852,2.0466204194281086,1.8722999847807016,2.058590436791799,1.7632888810394924,1.9309188378729532,1.6675771890373712,1.7336807907835,1.42831636554487,1.1698056110303492,1.2804702876239675,1.1932766004815576,1.123625452094246,1.0517892948866256,1.4169570998284458,1.5724137576328467,1.8953908550041787,2.1774589820374204,2.2681065434379533,2.5129318822713462,3.4002715644261716,2.615626627020078,2.5853917892917924,2.404257936850366,2.3580063659945747,2.1683478092385076,1.8353413560393521,1.5545552752786145,1.5765438242191248,1.0248767447849159,1.1927181240959834,1.1235847807692603,1.2234443107129926,1.3799541174489423,1.2249146599528935,1.0906859102800728,1.0746114731339689,1.1123635142841168,1.334876062930934,1.422865798064092,1.8123178471892063,2.0703491413510844,2.555036774573285,3.3663125596307952,2.2241859251018616,2.3851458567593693,2.69733589387678,2.595349753454678,2.5513640738937746,2.4735717394559056,2.242838681155766,1.9231072326640555,1.7547285280668214,1.5019334295470483,1.489708710166957,1.4371312416713065,1.631256806979573,1.8106938635216672,1.7197976259730565,1.8351098135166548,1.7068246470084956,1.9510706693983189,1.7227310995293614,1.8787544121955184,2.276633239874139,2.4210304143800556,2.423467368874462,2.1613681221488465,2.3240921429441808,1.44235449228579,1.2100961741519347,1.0152452487427097,1.0921661767742075,1.1255036325739738,1.8917231394559568,1.7756590906082823,1.7992562462752861,1.9354708058375933,1.8504144456946505,2.0477456989610103,1.9322620988339128,1.96235138575294,1.7704328773336486,1.7612908864963714,1.5063301416023769,1.2462981556332788,1.1082748079088667,1.2955939866109156,1.7543486784096687,2.2280923632794187,2.0701554951741867,2.520975063369841,1.6357403344074797,1.6540141109607005,1.5690980325199153,1.138118647959604,1.0749651144586068,1.395610483195585,1.9575530132072414,2.021842021653481,2.0576205792301465,2.041656243271902,1.6904739745304285,1.8140332889826694,1.4461397048396716,1.2695841504315122,1.6287372283653578,1.548674998968748,1.1890371285845873,1.3501541658088214,1.5701018769947481,1.2921064802913012,1.051180469226494,1.3337643602518294,1.3353620295824655,0.9716786380809095,1.06568402005737,1.3348676014450531,1.3766583827427763,1.701065945222568,2.2071719794047557,1.996174999649939,1.9486049974930701,2.2556591582680054,2.512768918923145,2.596122211455897,2.0519868938288144,2.0350464770008223,2.0617287304116503,1.9800781337503952,2.195500866992455,2.304710791886059,2.182393435477313,2.1488036548760796,2.5322778027680757,2.509176344514654,2.36933221136519,2.566326901068203,2.732172361560628,2.7202026193615008,2.6217173873096944,2.2197331515622674,1.9576511915184094,1.9632474103158222,1.8514667232053352,1.6833894161848368,1.6443112720110895,1.4577446476021614,1.495035870290804,1.4732622701531195,1.3025363647103165,1.2320206459192933,1.278151317252304,1.1574381720276323,1.0961069366406386,1.062843339792905,1.237560079881779,1.0908969784207099,1.0813566162928532,1.173595244467428,1.2809312415031473,1.4615376407319889,1.5621589466604489,1.581581430329273,1.8011212067122677,1.8120881684871735,1.6919154369206781,1.8988997550575752,2.0851294687019606,2.05631881515839,2.0957011079011365,2.3288218055253984,2.534775667131419,2.476203916531021,2.4435237473618554,2.7120810965913895,2.826991869382841,2.816329374971049,2.764023227262005,3.4169634790515118,3.418326874583654,2.663723675337239,1.8953157276766033,1.788874231305961,1.2480469705081076,1.2820990171008824,1.588559989196596,2.154423573133362,2.304486591739093,2.584885406152864,1.1916172751093905,1.520233687330544,1.0345856027679576,0.8761710316438758,0.9285526125598154,0.9125465973955407,1.0265731715725581,0.8691563392156695,0.7835898870749243,0.8943554672165682,1.1453035507602536,0.9756879263750194,0.8660384219916893,1.313453455025242,2.7909221251221057,3.1391652093598084,3.474832447341447],[0.9798600600374067,0.8301611452333203,1.1199990274629437,0.5287336266460432,0.9931095591281154,0.7503993382398831,0.8748960145707274,0.9253533631023302,0.9826738325638786,1.0842262871747126,1.1371838037096464,1.1217615468628248,1.240076595766885,1.2606399178929808,1.5144273285414716,1.4054895666702116,1.4882420858957262,1.5558449592010732,1.6114817370801706,1.5874490002843853,1.6421488253642689,1.5404295950318103,1.7848347969194043,1.7712082461664465,1.8053865004991891,1.6424732326051517,1.6049133358646102,1.550617296373582,1.5570467853432617,1.4042428127170166,1.524761552050805,1.334639147927609,1.3775147033531212,1.4442042710784515,1.4404644673705405,1.4894770401004207,1.393591875070588,1.4230056820975556,1.3752891997958256,1.3711971421566898,1.5016036756171545,1.538541495257439,1.5429539855875811,1.6360160869517542,1.7244490985072018,1.5261614771393923,1.8974948546088155,1.3123587124968692,1.3279608699844352,1.5988837204420572,1.426397403496968,2.2537526181905623,2.2559471676209353,2.4450183713606997,2.599134834741335,2.3626688594891583,2.406272377404055,2.309664860025137,2.6334371905149356,2.406145373415455,2.087286194522021,1.7576240088430544,2.054277946404585,1.677972472358659,1.5510813666051992,1.8540840074693379,1.6146127204631373,1.5882704808237766,1.6396528971715563,1.5934251163297306,1.5298633626164104,1.5613869143047634,1.5538716322764319,1.6145370117378013,1.5294182158984908,1.721593467304339,1.6344955513926844,1.5877641671122695,1.561428855336948,1.541593327855082,1.34008170499533,1.3870205013719652,1.1672763457786424,1.2489463173799582,1.2015343572785189,1.311411762294092,1.4278254660023313,1.4061886269241826,1.5025316906533726,1.5140489902019212,1.5650111672459415,1.6805337647909526,1.6800344806957537,1.5294269166638486,1.479790037870702,1.456447362733218,1.4617840220706428,1.3917507029772695,1.253475448799897,1.188708340525626,1.220748896376171,1.071852612140774,1.0943255038511546,0.9943199917304866,1.089057477083188,0.8370288318672603,0.7741858218988972,1.0515948064015574,0.9661529964815482,0.753413282368693,0.7145476518694295,0.8771504559731725,1.0411249931443352,1.2482793676563788,1.4115364739154155,1.4872955112774295,1.5809947674598694,2.608745428762317,1.6219134023576092,1.5801302748457542,1.5185493682089681,1.5679614857057995,1.4849670343064507,1.2238786671375392,1.0586565102300567,1.1070940147711035,0.7563096274780989,0.7791760491279431,0.7677169399220315,0.831001158419162,1.110065196923416,0.9715928063514134,0.8158804566210054,0.6908872402521797,0.675155429632478,0.7771894136735905,0.9642953340616317,1.3483417958399142,1.40350332678296,1.56315297205591,2.06910151126783,1.4326731923264284,1.3090283155729172,1.5084046975031697,1.3783718324145442,1.4313159459980884,1.4398905204272974,1.3482518133788854,1.1433258291375246,1.1056757707982774,0.9543193510423782,0.9644980139513688,0.9362655833572475,1.2517713842040732,1.29911488157385,1.0959750027178918,1.1431755272292428,1.0490297592594582,1.157344609037936,1.029225313577114,1.0441801895598768,1.2604864106821607,1.356787994664086,1.3384980242409195,1.1198836971076007,1.1889165068363134,0.834911094508336,0.9637016097210921,0.9966899486740985,0.8242768438737179,0.629391123047624,0.9471620475770554,0.8773655708715402,0.9039873196238664,1.0056666311459448,0.9895747492567439,1.130907002210097,1.0430129223516864,1.0277985990408665,0.9384507008341293,0.9211091489588609,0.7932403320072143,0.646957515599235,0.6371894115106098,0.6901575632162582,0.9777592275816587,1.2535074942559041,1.2944689260891753,1.9473611425819668,1.3598369875729812,1.3415638028938068,1.3912704014887831,1.0028082658148083,0.9221375202689778,1.174351337218166,1.5662761678080463,1.5662834907051217,1.637352664841119,1.601285012354037,1.41554038241089,1.4215707053436253,1.1434025287084215,1.0115471620190493,1.244019059565177,1.1759628271266491,0.9130119953268232,0.9981931865645592,1.1627153347115058,0.9622302339803785,0.7821757476814091,0.9706780203493255,0.96165367409305,0.7329620723357633,0.7775103436300629,0.9630056272284727,0.9584677596579794,1.235683869662276,1.5573744014120208,1.429518377767909,1.3817280940566388,1.6177790959325982,1.945190291682608,1.9523551373203412,1.5544845208010212,1.5177167014521968,1.5640107300228066,1.5518533776470504,1.7065796171962069,1.719371811429126,1.6847552960757075,1.6519433505537942,1.9175223353786752,1.8862247917753057,1.7935907453614666,2.0272005996426463,2.0399288947226086,2.0114458172359764,2.0497725576802384,1.689184001886819,1.5801203200954403,1.5584669002198548,1.4545808061889978,1.353114086689478,1.3255605808994995,1.2045413755954895,1.204357130998562,1.1661025478838003,1.0527259105266764,0.9914949697266173,0.9840995926778028,0.8902255249537637,0.8840291949781945,0.8181069381982803,0.9112912424328661,0.8448275816298779,0.9450255303470867,0.8613179039932368,0.9316281013409369,1.0632963534281525,1.1515791641498305,1.188207052265741,1.326445972754112,1.3194442477426953,1.2424867066212952,1.4085114673530874,1.506929664824059,1.4873151690016613,1.530150941275058,1.6913866078866655,1.8135010927262762,1.7896772097511537,1.761457957209778,1.9586386409721106,2.0923612771643803,2.0543193691481303,2.0602956300865256,2.611129888137869,2.717515827515746,1.9569044841061853,1.3286371596657798,1.2943381321808087,0.907132850403396,0.9166490980035723,1.1656199035013768,1.6174171556753614,1.9192323187421954,2.1735283521522084,0.9403086700142028,1.2528421771103027,0.7759574559635675,0.7572776677277726,0.7162040462134975,0.6884933563135464,0.7552834325291077,0.6610111780302436,0.6306472599718187,0.680430759891873,0.9185892164138432,0.8802965687608915,0.7468127531296117,1.154429609757921,2.5838573061713825,2.8674553783769574,3.227287107343306],[0.9023526604540703,0.7531746340138626,1.1093354360744796,0.5189982590536617,0.7386590710142774,0.5101896008876238,0.5476740906418227,0.5521836587898714,0.6389609166129091,0.6535310231604478,0.6825520877638205,0.6695427697579008,0.735526772137705,0.8085772164107757,1.0569937264946498,0.8964670059896364,0.9310753509569106,0.9694332495830035,1.0489951005088995,0.9540412460981387,1.0127352267008685,0.9637223029922127,1.2003915881874487,1.170169955726245,1.1856198452565787,1.0370447511288072,0.9438508837953445,0.9115940217151465,0.9488909113832115,0.8228532019746968,0.973605689209526,0.7742721623152341,0.8371253315025765,0.856873994665005,0.8361467091992378,0.8593566192764005,0.8032225413897193,0.8225922145065457,0.7730101694168638,0.7938173720294508,0.9655186760235804,0.9122846986717633,0.9158787303512383,1.0345498532037019,1.2683861188765015,1.306262418298634,1.6204737637922004,0.9355922202709293,1.3928319662892878,1.558415596114436,1.284204322150873,2.0916562922608293,1.9717382748866743,1.783697627363968,1.9408919702729746,1.7749297089217457,1.8954951339349815,1.618121161539747,1.979232002734876,1.8652168108748768,1.5226377818904064,1.1622376042039606,1.3698679894287893,1.075406987404316,1.0059137640613327,1.1710232912964988,1.00830016799078,0.9919614871116074,1.1090750126294644,1.0995983159640783,1.1044441033841443,1.208828631226259,1.0733889668319236,1.1307567585073852,0.974222699721918,1.2497575365391924,0.9982231835624683,0.9589900577277835,0.9317872033777769,0.9132587598569735,0.7723783554545371,0.832333151395927,0.8017518829651242,0.7730854266868502,0.7302204637489524,0.7329656399029734,0.8132013168940957,0.8570708566016395,0.8525773236603437,0.9039921787618154,0.9473038921752103,1.1610712625547166,1.1843182009282824,1.0063869036487032,0.9771721074608519,1.0077049886270315,1.0504736399745243,0.9129485157942806,0.7758172534094522,0.7604285745248373,0.7163881447391385,0.6734907688202747,0.6132656502788774,0.5875045319664942,0.7320112875827134,0.5586422747086582,0.6947898032845299,1.0545471866225373,0.9329972432622495,0.5931865496117447,0.47346721792127117,0.49711220346978463,0.5921873496318656,0.69928094527807,0.8377503584257044,0.9037755667805121,0.9557474587723688,1.9803338083351634,1.0858812276732357,0.9877499678362796,0.993571604082681,1.0687846884565797,1.096626128161418,0.8063662893373325,0.6459324046146799,0.6322301575251472,0.45395152230143326,0.4834611330834314,0.6172521154965183,0.8164438542380474,1.0352835755567347,0.9544234880870893,0.8409873411222069,0.7365634833999531,0.7093317940967249,0.727330031469077,0.7244391742313693,1.0492883995903406,0.7560976794408885,0.9321730347912351,1.1670866630101593,1.8763296055045449,1.0129704156044512,0.8147102866211864,0.7810133048780444,0.7847751419046506,0.774589711055235,0.7623477213666205,0.6053371327743333,0.6378760786203018,0.5622869591063918,0.5719176864554497,0.5793475574732406,1.0982993315754894,1.0466124359079516,0.6650299138784106,0.6810629581132616,0.5932284804358816,0.6448519445660582,0.5898952597491853,0.5855885903398833,0.6793516837189743,0.7333990468974705,0.7644196626814822,0.661497981378893,0.7308187763464552,0.6798343897249878,0.901889035344395,1.0231810059449795,0.8184476093390175,0.6436362329958324,0.5570681474835183,0.5762308593740291,0.5701854812708514,0.578275707278945,0.591450071637836,0.6629379868720418,0.6408090416830888,0.6012287128966267,0.5927973272388635,0.612382342703198,0.5599157225419789,0.6117896373293665,0.6755745762980657,0.647701573756983,0.7557671600054899,0.8368199151890651,1.0313215650053729,1.8460844438547,1.4150442384216702,1.284274028961959,1.4724041763986675,1.0575034131300225,0.9774522129763679,1.1588042732529653,1.421979832822945,1.3536947406649524,1.3923390729434837,1.3282263842812112,1.2461549264500362,1.1538943953324805,0.928321182244007,0.8334565502528926,0.9776270462887332,0.8990212119056326,0.6945574979290103,0.7455432770733293,0.8620403144442605,0.6926341134313478,0.5840351108425619,0.7317718704482374,0.7022166653162822,0.5787741692968832,0.6865104923815479,0.7850820218236887,0.78187145241238,0.9392523880368234,1.17533245416738,1.0755671017056794,1.0251251541727064,1.2192574501952607,1.5967945630380636,1.5544124597157851,1.3631207039386433,1.2082438497517023,1.2426991014444342,1.275432157636172,1.3832145403084593,1.36163844216754,1.337010630312828,1.3400975956192016,1.5708803504013318,1.548803970991329,1.4500185813726665,1.68506533619761,1.6919421729575022,1.6341410949671376,1.7394051809806543,1.3722773776909685,1.345181425846931,1.315179172822035,1.1983021719672744,1.1458732709749224,1.0890805065588935,1.0189968421514963,1.0048440175330886,0.9298883967989862,0.8292014797367566,0.8036222036232108,0.7508816265068597,0.6556527246742996,0.688179628605495,0.5966852857275582,0.6461953390926337,0.617431039622164,0.7828338386772989,0.6120524685530565,0.6515686509250731,0.7543537345481893,0.8344224619937093,0.8900784060441235,0.9995860132501092,0.9640657270790641,0.9090022901678454,1.0707249124723182,1.1322707910913663,1.1268312812325771,1.1751061455413023,1.3104837956925952,1.454074697666065,1.4010329155243182,1.385112822240195,1.5696095421893044,1.7341656421750513,1.6503547858364067,1.6487051818512954,2.1181857543197107,2.264218205255513,1.5390768220596092,1.064032111380413,1.010651913903857,0.7293168609965662,0.8128016859147398,1.0335446657751375,1.4342551195784403,1.8824936728160224,1.9399617660196056,0.8364360372966423,1.0861447861343851,0.5206249782696553,0.6030174061156194,0.5367516720328117,0.4640431651390113,0.628107590709844,0.4170023805756768,0.43602541040305126,0.46030669341924163,0.7035094911866048,0.720695839232695,0.635878466071588,0.8584577950579796,2.180081649624799,2.338668666991724,2.6426525539952794],[1.0333263412403841,1.0098746147275648,1.2851993843900278,0.6659227779298201,0.9211546189468337,0.6225311426867631,0.633703339815277,0.6112522486668968,0.6682641465177676,0.6552097515880473,0.6681698969793248,0.7017013403985273,0.6801020554654449,0.7063576076521005,0.8045994270798291,0.7272672213150151,0.6967381481430933,0.6868315563426911,0.715722601727975,0.6471917804426874,0.6575839792451401,0.7249728903015494,0.7856724011979256,0.8564482561371216,0.8396252960603456,0.6936257577032641,0.6041188914678801,0.6352484362254283,0.6841413336588733,0.6682245647629866,0.735042731109223,0.6522717253054536,0.6958809114439365,0.6769743033062848,0.6805790084232859,0.6884596942150152,0.6623076135600032,0.6236030156729047,0.5736984994981711,0.5992572459177633,0.8383958850759924,0.6395867499528615,0.6298988213507127,0.6930624378464902,0.9572760665936015,1.3164518503419427,1.3382380736353163,0.9023710885055904,1.7176914549260456,1.9462566576418927,1.4315396400206064,1.9524442331838563,1.807112383655358,1.4526271680589447,1.7251451380434686,1.474223821250468,1.4626217757817432,1.2373377909604002,1.7831966666890897,1.3765551617668983,1.0181767086835807,0.8047710019496886,1.328993152800729,0.8662427687026708,0.6000255052597554,0.9058038055919064,0.7233322421230999,0.6826411236468578,0.7565539852270599,0.7919812049519558,0.9030264309064522,0.9824849742282628,0.8360158571366633,0.8379731778378599,0.7395392799852841,0.9596633135863785,0.683432162112442,0.6863958188324242,0.7016324082708788,0.6512016876382848,0.6443585585505897,0.7668153240453861,0.762698915349616,0.6698811380061676,0.6130151759662542,0.6275635097810912,0.663365365182535,0.7617754229532385,0.6541634734700159,0.7284242608947602,0.7091306314854277,0.8377078864740487,0.8697345798635142,0.7643489170366251,0.7701694988558248,0.8039293851024251,0.8620059862209647,0.7394976783539065,0.702382026367011,0.7677568683223555,0.6514840267300769,0.6911002686609119,0.629771300394779,0.5901710964176792,0.6891965555134847,0.5440811519908892,0.6612861931230555,0.9708596518947178,0.8223041595017271,0.5659100762242251,0.4306808627379309,0.526158603369116,0.656839076349693,0.732272824732632,0.7536912380346754,0.7157590013744074,0.7666084534382608,1.6606506753733996,0.6963605092726118,0.6921510772093024,0.7059650089634534,0.8188195959442766,0.7554446618207242,0.6430516918182801,0.7036390713328669,0.7400610510462792,0.5017536165816303,0.49823568989522643,0.5369406634963799,0.7272024491481244,0.8436156156591673,0.8003933388306065,0.6594013529442594,0.6492431799204889,0.5182679331393054,0.5921789659327804,0.615077925747704,0.5749420785342921,0.8534381474520566,0.7407735953592268,0.9540691332406522,1.4279326820982075,0.7071893605995406,0.544229679049145,0.5890568582090621,0.6694955518398829,0.7082456009708269,0.6827553659949357,0.6186958853527148,0.645460887554525,0.5958073961408156,0.5777334613414868,0.5945081919092458,1.0755362658298098,0.9701244960186689,0.6855862480464189,0.68703151087307,0.6133938613011597,0.6627667027836057,0.6208203133021752,0.5697507000094066,0.6348918039803717,0.5760050272848728,0.5439832118062484,0.4125737119059654,0.5157232993962093,0.4061893543843393,0.62634113557822,0.8214065278415265,0.7167989346865158,0.42979947947676855,0.3279089523688515,0.4178987624724172,0.5265645374513186,0.5676458423308053,0.5911892852207957,0.6792691405568994,0.6652472384211866,0.6012339100114252,0.5792006219448175,0.5116496007481184,0.5045181213256088,0.5007676385176538,0.5518033653969131,0.5280577195714758,0.6524763621810467,0.7224323985564856,0.8666379522455624,1.65348660889737,1.2321228744977994,1.1242906985563086,1.2012590317527496,0.8204084379549617,0.7499364975884907,0.9271603624129172,1.0560895884603625,1.0222876403853285,1.0722407938936473,1.0009129769516893,1.006807044953385,0.8518915143307402,0.6864066349074355,0.5994118992901477,0.6785408707216508,0.6098734318484664,0.49030609122112684,0.5475776884901697,0.5796244820048548,0.4908408428758255,0.5165255115973633,0.582687605137956,0.5443771308305405,0.5795378846468363,0.7422884541316234,0.6823664099939725,0.7093546501559813,0.7306683677565885,0.8575418136423583,0.7589672129652927,0.6990420942959291,0.8288369484093124,1.4427960812944685,1.1991529092565931,1.3387575485098218,0.9195388316849337,0.8930317965462288,0.9537921802579716,1.02502408390783,0.9689940217282254,0.9427057935466452,0.9872668287997506,1.2065741212532428,1.1857377706360537,1.0519743245123403,1.26063392328793,1.1618076243353517,1.1727324925761262,1.3917927683179538,1.0000421474465997,1.0522427949781146,1.0103363972147257,0.9369905536806711,0.9489469973639413,0.8794782913696471,0.8602835956203744,0.7993954441798544,0.7303325292237858,0.6747607378047467,0.6460493205701394,0.5361288212797777,0.49326172932540563,0.5928470217925096,0.4684105415016182,0.49570649398877303,0.5020024715225933,0.7366641505525892,0.5199097829918102,0.5091804484867857,0.5358199705343709,0.5750388661908522,0.6320060691774173,0.7263961976115719,0.648489699323939,0.602640412810539,0.7494721827467833,0.7771510951987939,0.7977053452532282,0.8263481064295862,0.9232135124203003,1.1244878771787683,1.0809940628732242,0.9968801005235279,1.1449774215062725,1.3292746563928681,1.2672703135684036,1.2719922972602784,1.6303946992419838,1.8758551647544899,1.1885055291219642,0.8619278546424812,0.821679170004112,0.6946760943387374,0.8480331681129333,0.8345982887255173,1.0329009554619284,1.3905734686368711,1.5470762500448423,0.6701154669614892,0.8198601051950691,0.27914168217000923,0.7168455169212733,0.3538006527625518,0.3173652174691341,0.5600567849651708,0.38585007598207327,0.4986319926525044,0.44799553240853757,0.7501983012902813,0.8509959278736033,0.6554244919763315,1.0992230410009385,2.4549713560999153,2.7018197099457155,2.984579433219548],[0.9009681601712964,0.8278762486767919,1.0864357992335605,0.5092416061036242,0.5130209291713851,0.39859201236051844,0.36468874858692096,0.3728899021499451,0.44064265828314314,0.33628824523482176,0.3373736433269281,0.44807106038539596,0.3482992063007192,0.3586705311790309,0.5199162886941799,0.44019227157760815,0.42180272560930454,0.42512853421564717,0.4677245414618388,0.3814196679516242,0.41781094939461866,0.6053422594037422,0.6438895082740199,0.6975233420579255,0.651127576137356,0.4732586436247833,0.3909116836455214,0.3683069649069061,0.41631538547634805,0.3689184482179366,0.44267583275049693,0.4194902429234553,0.45338707347813256,0.41944350984165435,0.381097733897996,0.38199449696725396,0.3973818974533714,0.4091824629541105,0.37740715994787855,0.4594250721651819,0.73585774608425,0.46102171380684204,0.45557394804810947,0.5432462500676855,0.8651684870325109,1.1968177655080017,1.26262591905146,0.8148886156222703,1.691207032987696,1.808236802912079,1.4043990733787055,1.9803255426480646,1.7870159060034472,1.3055597757859176,1.4552682755693478,1.2732855591962071,1.369225196605758,0.9635593559410313,1.484933663366764,1.2423662904287904,0.9477761269280127,0.7050048554432309,0.8909071446495537,0.6050958729213096,0.6845280376161447,0.5302803033170012,0.5705520754604844,0.4348923316035811,0.6089864946594756,0.5913567562440691,0.848327715964305,0.9985663644948968,0.7267011921688036,0.7795557356882363,0.5417656365888857,0.9077777409809682,0.4369173268366162,0.42533626487548726,0.4476555174801808,0.49249411349460814,0.43241386559452205,0.5364985597789143,0.7984806526480971,0.4966266053281718,0.5000463681317022,0.4050844759272027,0.4141590118381527,0.5494860990702308,0.39993805247805175,0.4934678580385735,0.3972930622517731,0.6280016840828323,0.6291054214053843,0.4865873738702306,0.4969571759327026,0.5682609874696204,0.6521360079793616,0.4996020816902707,0.44221709753150384,0.5381520140823158,0.4249802891486063,0.5050603433732735,0.4250968797519764,0.4264551717793072,0.4858875886124321,0.5147518689085031,0.7045799952180433,0.9158711476483066,0.8376082564445948,0.6206713968795937,0.47283904799822624,0.44174696482095616,0.3521756219459129,0.3851871045752824,0.3462424723453549,0.3307860456150639,0.46742748340348783,1.3080868948098079,0.4651158988055175,0.40197337883438056,0.4111766784481253,0.4530300997337013,0.4591277986409547,0.30928330129596854,0.311465283342267,0.4266940906098732,0.39965076038395875,0.4611609695766298,0.4755971843194997,0.6234508970478164,0.7311918094224588,0.7235720550814028,0.5983586585334778,0.6200628103418174,0.52212018075864,0.5663604958552364,0.6006920343325822,0.846680602948515,1.1647102201405233,0.6771304731607724,1.348690722488903,1.964390243891528,0.8546057138654495,0.5564828537167261,0.4683673891465147,0.3660114886198448,0.3744293615996388,0.40295438032396724,0.36312074573382186,0.36534569168496417,0.3995318680305163,0.4196575614649801,0.556142770495786,1.0759432609174315,0.8718304802784332,0.45702343529770256,0.414562446504137,0.38379605974239617,0.41405006908842035,0.40708161236833046,0.42975895896783295,0.37773020939149693,0.39453672243664967,0.42071754952644225,0.46873169914040846,0.6278562453804699,0.5345457311877948,0.7712904136576609,0.9576165498864926,0.7921642141209357,0.5481920213836918,0.446728827535637,0.4628672704859522,0.48148442287671006,0.43383367352805263,0.44832808332543594,0.5045614601730921,0.519526503133258,0.480733850776157,0.4840537016631399,0.45848490612698045,0.45177588524758105,0.5030184167214808,0.5643040750813987,0.5556365562787116,0.6353077588126693,0.6700005278092972,0.8570031762425445,1.6921142257683173,1.268847682501429,1.1842188917345846,1.242121952487422,0.8556684980083132,0.7490878063302457,0.8558402112211079,0.9258952837051289,0.8507216764097095,0.8741265625418091,0.8207356844675368,0.9101896794613142,0.7204268331635963,0.6312985077050833,0.6193480639583023,0.6000932310051752,0.5586073694310599,0.5148567038506389,0.5810636914832729,0.5565365085885824,0.5110689006689606,0.5397780130058313,0.5837300802210044,0.5683153663942735,0.6415011337123393,0.7324253557345223,0.7187319470509543,0.7556976105202936,0.6989885441053009,0.7251872266674921,0.6517165517459541,0.6237264757324864,0.7169109915512856,1.3461075375872065,1.0718124577983463,1.318656156593894,0.7938969701816735,0.7710667056424022,0.862258563229809,0.8477990646295563,0.8100385093963466,0.7943546471005166,0.817697493205612,0.9798236034243094,1.0321144007687963,0.8436566525327296,1.0405729715742356,1.0497328438388807,1.0049981780540165,1.2208889500035882,0.8208905615367642,0.8866038579978783,0.835934849087689,0.7962211752430381,0.8283618664245926,0.7840690050661248,0.7804243556413712,0.7189969077784807,0.662515225919157,0.6894213887235038,0.6697137241487457,0.553694187269266,0.5465941183332758,0.6716698965028542,0.5392065847894661,0.5387864840598329,0.6087611532860733,0.8282277022024978,0.5924601887647084,0.571345232110226,0.5437740791396801,0.5541461572408595,0.5847063711775493,0.6059306918528781,0.5743393691943474,0.5537482373118598,0.6221005744572724,0.6352150268818244,0.6674727208563874,0.676039313319593,0.7405708287407947,0.9315880238062093,0.8371784459547511,0.8319459710359273,0.9279431858641808,1.1575002584847205,1.0517685237298855,1.0657983735369536,1.386147407179149,1.6704368610154077,0.981626851524514,0.7859951125502919,0.7150092040061399,0.6320655332375319,0.8143374478346362,0.8483878651633392,1.0639364535346676,1.5699803471390865,1.3384901211005085,0.7264140485418602,0.76390868511516,0.4153879148546557,0.5735373347522226,0.49783316642537534,0.4131773628960313,0.6520728259676879,0.38401319513644305,0.446516910742178,0.39971591183026417,0.6072204323922726,0.6648714924419447,0.6302141624773027,0.7091507343818443,1.8654389221648227,1.8419290730275233,2.2220663963949536],[0.7149264611575046,0.7106525940994136,1.089230880984094,0.525575548130829,0.6218360865907644,0.3965799593765048,0.4199770421206543,0.41330155290300086,0.42815775259517785,0.3482260539556647,0.3476295157556749,0.40387804489788337,0.3710772180150136,0.3612038233930961,0.6010214335765158,0.4741625500384767,0.4360913158815811,0.438954430903446,0.4734115758833572,0.4183720392015226,0.4345808310792452,0.5712720571323926,0.654052126809644,0.7078467795987105,0.6800072356042646,0.5119375818273355,0.4342245051773817,0.38379525132278053,0.41470775269606913,0.36922180069530197,0.487509599813332,0.40620613667786504,0.4654619981496807,0.4339156967115154,0.38659461397069733,0.3849011184137706,0.3966568313383103,0.4220099844469164,0.38828814333653316,0.4920217057418429,0.7738401982254862,0.4957519045478809,0.5008876291180256,0.5976305867794968,0.9160696376606676,1.1474513462245954,1.2257865952477311,0.7614632664496067,1.647370548781262,1.586632033881639,1.257734033547976,1.9160853768563595,1.685583009833437,1.220130124645102,1.3789126014996638,1.228851359112279,1.3725571000444932,0.9742958211859906,1.4891972980706887,1.2311652031786404,0.9968780424641486,0.7186939266006135,1.0065874455855925,0.6611547659717744,0.6403353315878784,0.6535096076647963,0.5890492880234368,0.4592658906088777,0.6282979866251286,0.627951762834908,0.8404181698297154,0.9835221447765933,0.7336909981672772,0.772728638849616,0.5375028683290681,0.909417419151879,0.4580785137696247,0.4582190379993833,0.45835702976517,0.501140294123696,0.4196741973022846,0.5388808326894214,0.8139606304077105,0.44082226907215877,0.4907359491994789,0.39803236991422714,0.44065564339598406,0.5140641711013006,0.4009094637877069,0.5086708173584937,0.43133438227647825,0.6936065114635273,0.7158847003684677,0.5567128648574189,0.5515664175733797,0.6267954880527563,0.7100123508916009,0.5344488764865715,0.4524402953576315,0.5276279151943474,0.4396859399622381,0.4840909164400038,0.4058712149200689,0.4144803565017161,0.46187216546096127,0.4841461321218435,0.526568916547683,0.7884096834786352,0.6910648781384562,0.564318401330021,0.39127232131894757,0.3821042274511348,0.371732888596108,0.3456125221953891,0.34117021318175056,0.34870081783301826,0.4638333646388222,1.3350096556873146,0.5146998075497288,0.4309574442912666,0.44751766428601525,0.5044154459357106,0.5064085231803309,0.28408458696785704,0.27013620991777687,0.3607268538297276,0.38832092257171813,0.44298236354493903,0.5118966400884845,0.6227152189845094,0.6420289545700442,0.6016821348491642,0.5285679717347532,0.5355332024623698,0.5096036824114066,0.5136023362241404,0.753034588456044,0.7896588839759422,1.5762742460340602,0.5490800728935151,1.7251113556013389,1.8778041111771524,0.7690327683385302,0.517137918393547,0.41660832888735283,0.36113730477155215,0.3504879197742176,0.3826200606339841,0.32770067731738434,0.4230791284776541,0.4192876922706054,0.4879254788945137,0.5495241165211242,1.0479539348026288,0.9711310416827347,0.453649089445497,0.41601645860941977,0.402617029865657,0.3677582674227464,0.38432886114360454,0.36250577886741103,0.3653021248598486,0.4237727287911067,0.45377612229696285,0.5126534763820824,0.5938736891469475,0.5638341502911393,0.7162337918894583,0.8753615216377795,0.8532511258290542,0.6055390271245398,0.48134960289315953,0.46332943114549197,0.39637948546297236,0.3596120786409079,0.38974042294730166,0.44094001692955614,0.43641660579983615,0.3936304473525902,0.38591848689636793,0.41554764403963546,0.39959842867988843,0.4556487226201473,0.49738605010558157,0.5062219986850878,0.6362775244517732,0.7091495564022878,0.8865129767472678,1.7502979535272445,1.2454122449717837,1.3644392209726597,1.4510657031620848,0.9161824638197881,0.7718186321988975,0.825903347198806,0.8550465704799355,0.8040735563367384,0.8166482773069517,0.7670449103642311,0.7930647701942195,0.6620418481668188,0.5790229345142989,0.559578814927932,0.5971610118049294,0.5610861712132013,0.5631902916928125,0.6287960141221125,0.590509979679469,0.5958790835044666,0.6400088924395532,0.6551422402631449,0.63950224116332,0.7255226313061099,0.8297759368214885,0.7772108343342483,0.8020715574619529,0.7721987951994125,0.7847567100588679,0.7035707230178682,0.6666293553867407,0.7059480926501891,1.4533332911072716,1.0455898909823615,1.4073791804953484,0.8266081958074176,0.7707825224709984,0.8387640727209021,0.8400783829672518,0.7697027885242479,0.7657162252068763,0.7888025930065461,0.9544218276463253,0.9718509843627776,0.7999491921109649,1.0953080434160853,0.9462688963832985,0.9622133647020398,1.181104581101948,0.7701932669389845,0.8381714370764138,0.8140618665561083,0.7939777995374195,0.8300758985835178,0.8115733685960456,0.7937838205411588,0.7004660748099202,0.6538075854668164,0.726770246987226,0.6356059652216812,0.5717575604734316,0.5941293392505964,0.6999913265119211,0.600356199953801,0.6270665493988238,0.6736749462573028,0.8789036978011153,0.6859006532376862,0.6620669589895481,0.6097165718709606,0.6026202149958249,0.6047443564049519,0.6229262061552313,0.6048488715796552,0.5954063045809413,0.6268943365924784,0.6545246505443665,0.7080954841734926,0.689143028916174,0.7456574068126467,0.9451222048839248,0.8889464763708462,0.8248141678143133,0.9502433328059559,1.1897018014164356,1.0956180795990862,1.115714936050465,1.4572842916805588,1.7307254305762174,1.0446311603216931,0.8625224464619669,0.7970423750035734,0.7348899447373702,0.8886565014491747,0.9152288301521125,1.089926448398995,1.5132500593086031,1.3524427576952793,0.7382907794348499,0.6916281825770348,0.472097440316523,0.7183644607571782,0.44382287887255145,0.45365779437474507,0.7870564376555211,0.4554708438350664,0.5816818538998613,0.4567492840800545,0.6198909291732242,0.7316404203094587,0.6245357687194873,0.8610147788147271,1.9802365779246607,2.397119845335986,2.5646988710029706],[0.7434494438608666,0.5431152388795701,0.8742144050383532,0.3403629671113762,0.4015347304413433,0.2909508165372562,0.3168686375519586,0.31925050210118616,0.3822180705640086,0.3048415036734969,0.312853375667538,0.3809307779443762,0.31219838056202187,0.3371866733914837,0.5204068605741543,0.4024550807145786,0.31655762799687565,0.30026022863403323,0.31783051867046713,0.3237652975655436,0.35452633423120655,0.555634519860487,0.5803977820029995,0.6692019690836443,0.5973843341337499,0.45366061120015605,0.3734295063980693,0.2965200125402417,0.3089639535963997,0.3019362835889993,0.40734949793481756,0.376579206439958,0.44547116527663916,0.3866289991747998,0.3450959358967927,0.3208975727535263,0.3459549875717222,0.3303436516005425,0.3296630188955535,0.40410427880065114,0.7490144845299271,0.44737498270571563,0.4300173724175693,0.5264426116084432,0.8293422362160553,1.1010029223877889,1.109149889520712,0.7591512907672486,1.7353315704515488,1.631722980790787,1.3094027717534316,1.8897684512641553,1.6548993282787696,1.1126841473478726,1.272867507720852,1.1255805666205048,1.2415782999914384,0.7978743304562803,1.4174471888045725,1.0562957461447051,0.8648995140325572,0.655235736696816,0.9943429823142338,0.5900631238667354,0.5980756786118918,0.5401991952873749,0.5601995112164894,0.3464844654297814,0.5411199677530839,0.519994321755486,0.8308688606702057,0.979340493199698,0.6936130140944565,0.7153467233299496,0.4657913375890676,0.9074996032409204,0.36424187085910426,0.3845809552549524,0.3920965270862933,0.4103609891173506,0.3557354816705892,0.4812781989931491,0.8239235448276343,0.38854663983882265,0.46565840361822586,0.3395349270816406,0.3673436735371062,0.4780354569198289,0.33310560370946996,0.4650004278839661,0.3551995987368132,0.6167316839798245,0.6187108944344546,0.5005816791249809,0.49580570634544335,0.5891166358186288,0.6548690638751491,0.5111774337237721,0.43208089955943685,0.5402487696435361,0.39980597919453525,0.47448280029140866,0.32188306873981604,0.3617224068706011,0.3946591772733641,0.4106817618931717,0.46211295798074753,0.6487245989186143,0.582698360915707,0.5539808079991677,0.2633737733635335,0.29056028245155047,0.2524400619045256,0.2461783217854509,0.23370857633555306,0.2411516528215817,0.4072209142322554,1.0814677806156099,0.39874952352767745,0.3066448573303506,0.3059714133346285,0.35834393971040485,0.2834630782599854,0.16238204449519192,0.19386429664195223,0.43937739461515596,0.2234128116762387,0.37825998111017645,0.3655895073436279,0.47156283489925016,0.47095989391322224,0.45630879099350324,0.39278544649501124,0.434175109822082,0.38826164922194617,0.3890187412428329,0.7311971970310236,0.812774401979308,1.6081999652788346,0.5651248229763325,1.9090442165347825,1.8357305267003399,0.7071382698636349,0.5413751612760521,0.3653856911089552,0.2877913270521527,0.26933705932487284,0.3029091535796052,0.22199201559499254,0.34682075109434163,0.375059905422368,0.482671805054728,0.5514919228030081,1.1639711478386285,1.0347322260818663,0.4450810901922273,0.36828890521358826,0.3573915096979118,0.28881231997367296,0.31196050853308693,0.30496627154958617,0.288944345335709,0.35203360192166666,0.3690726120365045,0.4474004014188507,0.553756437843493,0.49500654080033235,0.6538589876189207,0.8366889616273547,0.8230496775476219,0.5532067332767346,0.42221033885387926,0.4014268302139787,0.33161015940735245,0.280715057961018,0.3137373329681545,0.37742821572388346,0.4151320600930737,0.3335490776134363,0.2965280533176053,0.3414673972265441,0.2962057243518163,0.33734037651750565,0.40401674242965124,0.4162004654068383,0.5858637468061965,0.650877308175664,0.8213203150204874,1.6938883236441662,1.1409509092751757,1.3659023184634151,1.35136805325487,0.8261138855946515,0.663753144755938,0.6821479856501576,0.6745259981890898,0.6677593575935036,0.6232981475135287,0.5641621205720444,0.6150062709812447,0.4410625592836425,0.3675578471707439,0.36635023324254595,0.38900675971188653,0.3501345870822515,0.39450167069120545,0.5679387034087687,0.4182323261564721,0.47194451105921376,0.5228090262436379,0.5169435137631926,0.5464580101118512,0.6956793152579249,0.7803857677276661,0.6886128760781467,0.7324549716998462,0.6716298517146124,0.6196704500330257,0.5152600854956413,0.5102728851141441,0.5443490236732984,1.4801889998550821,0.9399875176078708,1.421747048450835,0.6591625651690999,0.5876534642539134,0.6542199938803482,0.6216678838425461,0.5717460622715119,0.531621445178981,0.6083008572972753,0.7355951186101,0.8233958190805601,0.5891521537083687,0.9219584538727117,0.7735675513692619,0.7944755288700553,1.0639820920045213,0.5639674080005912,0.6247014242992196,0.6114727858715262,0.6012455680553754,0.6533118635207256,0.6544686644383152,0.6605694975507558,0.5196118492713867,0.4978750982569334,0.6488522102507319,0.5216857205603732,0.43147749529537305,0.55003164149778,0.6945217094391402,0.5434652385706137,0.5608628837212255,0.6899164904159515,0.8769277002350628,0.6755330263833336,0.6347105826187871,0.5103220314612,0.4516824513372401,0.43050919482355965,0.43354196906293446,0.42098896327751717,0.4115223135353347,0.4171936658955125,0.44072747855691174,0.5074890076629719,0.4638136994575691,0.516200200568412,0.775767846025733,0.6828739515314982,0.638213987557906,0.7467338579890187,0.9960431379981645,0.9087534548463055,0.9394821749155386,1.2658399613992137,1.5860064589793792,0.9062387551991901,0.7668201421883579,0.6274407663386906,0.5829507959730443,0.8595794093789996,0.8503705112170845,1.0127413982893652,1.4383666219054951,1.102872285094854,0.6521109486305576,0.5029468812786643,0.40948724995674246,0.5299354732027731,0.26870384364169414,0.3395832896900448,0.7373817505721676,0.31764394106234856,0.4849015492780766,0.3906311672758455,0.46878734449432946,0.711075272341327,0.6420847092435409,0.8455649475286154,1.822541574892026,2.2353438537742507,2.4084519762442653],[0.8269550314392887,0.5466490213135631,0.8333598969505254,0.3779930814182893,0.4047989742289104,0.3329576495948995,0.31270886573376994,0.3067138948463803,0.340175824023281,0.26786260108213195,0.2957666591442752,0.3515580486012342,0.30102677041640713,0.35513002879573496,0.611301239881924,0.43520135437908536,0.3622606484748307,0.4000930867771191,0.4786430885900599,0.4538522565942669,0.5155185794704773,0.6365936525828797,0.719425350179842,0.8702477166358401,0.6813345986899569,0.6054970183375701,0.5206899759782087,0.42375521900433066,0.35443709342470414,0.332758124604589,0.47869828816181154,0.3877041093138123,0.5106005561527451,0.44289838340357557,0.3659009185260964,0.37558143011059913,0.3631389204665174,0.40693631272192843,0.4265694003736287,0.4732967007052021,0.7932706187009447,0.549088909408791,0.5297048179558951,0.5884651235601019,0.9227421032442162,1.184632598981779,1.218222599275621,0.8862702120238044,1.797453574595847,1.5572387274563755,1.347837084103499,1.985725699686814,1.6682495118669398,1.1691497389572223,1.1765856405828499,1.0580228096925417,1.307064916652155,0.7726822352014439,1.258927443730298,1.0765317979870455,0.9545179050108424,0.7392735337739612,0.9204528739899434,0.7519596268346525,0.790149864712176,0.6031587322343601,0.7101963731265959,0.5002092880698814,0.7058233176734954,0.6426745829279177,0.8951073190388016,1.059248934779804,0.7743178791692837,0.8713390657167062,0.5432621445380046,1.0401901865984733,0.4968544878565526,0.4780946933644064,0.4511302648458846,0.5011042521042044,0.4157682855611613,0.517075965009049,0.9113342640765657,0.43618854395124274,0.5284459386836833,0.37261060343334557,0.38028613046246845,0.46858750409372363,0.4322852415530878,0.46602508959783445,0.44530159625640336,0.7312766215876945,0.7557446617989566,0.5877285019408202,0.5493049636343202,0.6716115030249353,0.6979077029410317,0.559188166552033,0.471859707414015,0.6110591153445374,0.41970467782417664,0.4589813864975412,0.33973186991294974,0.3657288545442022,0.39245947533821085,0.39041582339033015,0.45321361077094297,0.6880924420600235,0.6142964627419939,0.5634649256568304,0.2773069115196474,0.2975239859486726,0.2596331266927507,0.2974532881859803,0.3223290797524506,0.3683066804324514,0.48476829358612233,0.7894742279814888,0.5818438943140088,0.4513127967365558,0.4664826855426485,0.41488415755791425,0.45739439917682906,0.28160604168275183,0.2681605154117892,0.4859413526641921,0.2607923122598717,0.4306515103337185,0.4403157762231119,0.5434581944988395,0.5528393231836226,0.5243792841752146,0.4697719289467499,0.4713724041588079,0.4486719698927005,0.44499993903266816,0.669396242265175,0.7495140081036058,1.404094048426978,0.5648964389312914,2.0695706817944526,2.043006372123619,0.8542935506807822,0.6859322252564772,0.50803205797008,0.38245487860448923,0.3620314729271032,0.3325450839664973,0.24715673776177793,0.3398591799524835,0.39103552194620883,0.563280904828671,0.619041468158774,1.2918649218592344,1.1520209200942428,0.49882225582926476,0.3943913032045927,0.36514969666472225,0.3034751526241878,0.31083235886212257,0.34222067927307015,0.3622839266412131,0.40769207652948103,0.4280375435257356,0.5579053903902571,0.6557182682458347,0.5618530033015677,0.7489667359743246,0.8501396462987835,0.8446534864626914,0.5617221959161209,0.5021863890089363,0.45755059853790264,0.37494853278339485,0.3223678042151193,0.3482387728613299,0.3997703339614581,0.4554817382727939,0.37688192863749276,0.3473412559407873,0.385566046127347,0.3157437821645031,0.38237094816116607,0.473921368145595,0.48569503911331,0.6432485368524663,0.706837954071721,0.9218183230185637,1.7898165533993815,1.2703434938582294,1.3390687117604423,1.56393207562413,0.9151497866632601,0.7551997867799503,0.7950279919799575,0.8033440017564575,0.749084939419586,0.7279318203027544,0.6422708401604926,0.6692646529231294,0.4788895930760285,0.39012038579031805,0.390908491948003,0.40946391862088244,0.362822926369524,0.400438404088831,0.5885561591975668,0.4366670019908799,0.5012309880487184,0.5414783736496135,0.5235359379045734,0.5854020087679325,0.7494221901863969,0.8004057082594422,0.7291472128933913,0.7830111675488785,0.6981201462538116,0.6548591804717507,0.5364815064226157,0.5419475875045157,0.571078479664686,1.5251358410783142,0.9648034773831979,1.3981728211380162,0.6437529771921163,0.5922576753854346,0.6760652481663804,0.6654412246246945,0.6071438633878886,0.5691696030918705,0.6592272835455527,0.7847708922180779,0.8637642263146939,0.6534786448587933,0.9845365347608594,0.8673135721004137,0.8764910898461507,1.1282746504243315,0.6286570411773238,0.6997716986263904,0.6743014359084784,0.6353430728061583,0.6840890834954241,0.6794059386733783,0.6854362158848705,0.5446451684113524,0.5091360808976184,0.695262802740517,0.5500922929312463,0.4538243712666874,0.6114087857162184,0.7601846394376225,0.5933989813481062,0.6091923853029241,0.7777851702027326,0.9501104514755125,0.7408244959746975,0.7016659904334509,0.5583898464560682,0.49026175855843285,0.44499824975393554,0.44285035024912645,0.4591051412777136,0.4392411847915669,0.4344738183930643,0.45733139590867455,0.52214593128891,0.4933754690277213,0.5547210378823676,0.8008430191172073,0.7108517716667486,0.7062171200499683,0.8106630518731103,1.0765908103140043,0.9721532912456782,0.9962007279695531,1.3425319848232096,1.610473211039915,0.9694635937806408,0.8208021261251154,0.6474722070925025,0.578804167212345,0.8908007747817701,0.9118595176901255,1.111353926733421,1.5385202299559255,1.1640615653666895,0.687798005538082,0.5619304456802289,0.42025553896074147,0.5108112524233466,0.2923090450446989,0.37513536732833314,0.7833973425607154,0.33954222025871983,0.5136313340438237,0.4303233290356144,0.43773018165168626,0.7334905102361795,0.7152780481294,0.8521267524520627,1.6032835477444176,2.1223541378084243,2.3574629021134736],[0.9123669821959939,0.46584820351785083,0.7397737890622902,0.3188454465878136,0.44041762224767506,0.3513634680935846,0.36673344608313974,0.28078273986363145,0.19510155508389004,0.18546912099920485,0.22789983860014068,0.31960811357882035,0.2540859642925523,0.2823962651838383,0.5052574558584704,0.3429271267832154,0.2917955465798063,0.32279491081970163,0.37692985976765225,0.3894242767590183,0.45140007021895573,0.6079758850293935,0.6231015972543061,0.7573907767034875,0.5793804014707289,0.5329828976393173,0.4668169440324554,0.3849923340601375,0.3176748279901294,0.2971286389891996,0.37647417917177967,0.3326725751374227,0.4431377628292883,0.37408743155712787,0.3094269065969544,0.32822515059822055,0.3479793299245667,0.34965859587886755,0.40022184068352656,0.4257826161666441,0.760693212110229,0.49825138394861507,0.453845869660336,0.542956634152319,0.830440830469981,1.0957927907717822,1.0686416194954795,0.8474357843329773,1.834914978246859,1.5720781334898963,1.3754442894651038,1.9303197352966401,1.6494079775222181,1.1577627349076962,1.1383473540058529,0.9833542441496398,1.1997853482317093,0.6708708604214945,1.2305917389361645,0.9251953732592814,0.8554925126429143,0.681401797298175,0.9760533899276771,0.6901674079517475,0.6570497562156002,0.530326991277116,0.6419841675742218,0.42417152903447225,0.5989041069552026,0.5414109297584377,0.8975835249780063,1.0719336105991415,0.7357686374176783,0.7570677143211423,0.46696566704819853,0.9665876531329299,0.4217590697108857,0.4039357427818935,0.3962245746704947,0.4591798299281673,0.3589119598526216,0.48003482336876313,0.914880135527527,0.43321519367735994,0.5023055356886554,0.3613644406191214,0.3485452869652286,0.4417777263962428,0.3764510813981215,0.4341917473218403,0.3624109727713438,0.6140946125397837,0.6237418160351638,0.48368907766566266,0.45705150293978736,0.5845025006429437,0.6386881138916931,0.49017946318112243,0.419292429945302,0.5714212165233196,0.3939105007900802,0.4721111537078008,0.3561886558058258,0.40425481026336,0.4312090476597725,0.41846645011849876,0.47568851482955604,0.62951979642044,0.5824265961543573,0.657558604261382,0.3521804315012458,0.37536874948546955,0.3475546183593235,0.3886710064153222,0.37269694999192227,0.3667222000686166,0.4766650668299717,0.7079049250232847,0.45667830848393454,0.4051694122509842,0.3958276577988412,0.342506529801666,0.4053349420948486,0.26854380148876206,0.3448314512779328,0.45544244036694326,0.32739904996034086,0.48907570644996123,0.4779498959686622,0.5291889776506488,0.46645409738391075,0.4453515783417837,0.40348162594259873,0.48074146977097043,0.40617403693616067,0.40666010309527695,0.7364880048848567,0.880956139564729,1.574664061554751,0.5671276848001593,2.1277280910349385,1.5929204178469434,0.6765231779509927,0.6430201815526557,0.42022137536610327,0.3521315584792151,0.34082798882685134,0.34677748956537513,0.3161949733196911,0.3804286670876302,0.40969147671733275,0.5431166273931698,0.5941995299209455,1.1918551202149412,1.1124115488326511,0.4752940833063001,0.3857982384840645,0.3920456779618988,0.3088511262123511,0.38045145927000884,0.3646945697396015,0.3707086821836807,0.38766861185230583,0.38083459669224423,0.5010415310824168,0.5873892501231638,0.503939549058812,0.6373528392237436,0.7480123570265623,0.8276326752056818,0.5459623143964967,0.4772999434120324,0.43247036833319363,0.3611061587977087,0.3208534872193094,0.3895292192656025,0.41278556161272584,0.4951546636407063,0.3658809800621027,0.36326673089516415,0.3594985412301127,0.35107664872490923,0.3705803310564718,0.4175846823211494,0.4316109240275087,0.5815379544161614,0.6480019747814597,0.8282429079588947,1.6438270736372298,1.0652446042690527,1.4685535429840664,1.4516550360661944,0.8433177497267441,0.6731910758047004,0.6795213413933188,0.6411164608961244,0.6730363300118798,0.6130963097103945,0.5484075749688779,0.5944825368370354,0.4481124810167127,0.41796741140503546,0.4138574822392019,0.421059442848528,0.42273380932025567,0.47010488651841154,0.633935230612715,0.466934462205934,0.5559766223230204,0.56187585604032,0.5443635422473706,0.5993876449568766,0.7463026343920829,0.8150126210295168,0.688437362372983,0.7397950259278275,0.7030411605223754,0.6161717073304765,0.5399911327378379,0.5584286758111381,0.5531632091677425,1.6428705021003456,0.9273935448432159,1.4962021249500568,0.6949769217347964,0.6541971192865529,0.6958976892970925,0.6914453193094248,0.5900077025456526,0.5345846694088835,0.6161939648880235,0.6987031355860301,0.7949405111395326,0.5588093479821246,0.938003512225334,0.6895730121099202,0.7641951442698119,1.0237008325695653,0.5333058856475416,0.6335832925176144,0.6471963956047521,0.6382853506373396,0.7099160947908965,0.747907943609765,0.7315364321352495,0.5823204252058224,0.5873582639039661,0.7986806225418324,0.6207214767554475,0.5676757540082543,0.6954822009623016,0.8057369029074953,0.6591773329161205,0.6925344617040983,0.8144823782054714,0.9464216076527687,0.788131428456473,0.7537146255536684,0.6123263857734558,0.5704920588079907,0.5419542109565821,0.5313082908315403,0.4977966867866083,0.4772899273323217,0.4713040988760399,0.4644531864594865,0.5183870701282137,0.4727502728555137,0.5074277580573562,0.7380145114114766,0.6739505595282288,0.6123200617157403,0.7033187297864858,0.9558427149748042,0.8853116547899204,0.9161334391667267,1.2329486009018733,1.5545127742972904,0.8745612832155043,0.7642095435219695,0.6204188963149165,0.5929669312823862,0.8903023395744245,0.8476115032643676,0.9904349942048717,1.3968552582608205,1.0570117281705713,0.6952415062686609,0.5034400827000476,0.4293456225716854,0.5178032254854283,0.3791241906598454,0.4588038561089592,0.8263113003107359,0.41977602341059406,0.49872731903985834,0.4408593676720995,0.4142358352112186,0.6837001436554606,0.8076415181486128,1.0599010697531595,1.714236378797467,2.518407958760823,2.7119907638731835],[1.1649415168955213,0.44891090751990465,0.5641022170307305,0.30362299732725323,0.3779434673920715,0.32436013863226587,0.27082644279074086,0.2211366917012805,0.1732214475611881,0.10931365791592006,0.21677617149252137,0.3476471696627888,0.21387877535005617,0.194936741313567,0.3476641612734621,0.26104165558229886,0.32766320824517486,0.4044909129530614,0.43752749698720683,0.43714965426120594,0.49651248928517466,0.6436287637477259,0.6252577243077597,0.7626815577322039,0.5634135718241807,0.5420353576564986,0.4857006012820072,0.4198115917753775,0.34426503799985236,0.29571461202223537,0.3243062754282837,0.3365578142145889,0.4041499632314893,0.3664699161227024,0.31235679724482873,0.3315635498675865,0.35957092682756836,0.3461298937730967,0.3799632816812596,0.38181942584911216,0.7564564733610442,0.4991601072161252,0.43490025253427056,0.5450797401077064,0.7299609635244789,1.055014161419761,0.9456513536874656,0.8793710914627089,1.9133459754569346,1.714518933947712,1.4810932325108164,1.9508456613613347,1.6834547682170375,1.140356721811559,1.1567145473375633,0.9515085717522819,1.0713096406613976,0.6124567937445722,1.2646854472857365,0.8204541501836097,0.7805906184464054,0.6859408375543561,1.0294780536932202,0.7224985481576581,0.6227478362668042,0.4876883971225563,0.7099108495849484,0.5040911427401148,0.6659159467562688,0.6238444036733763,1.027071786192409,1.2476992338022186,0.8532285678437688,0.814853914555281,0.5507168890541781,1.021451437615509,0.48120735271914605,0.4235727344079855,0.3965906039821115,0.4730367251627312,0.38401467557681146,0.47769173104805934,0.9509435170806865,0.4428713598089231,0.4432152048918415,0.35610164336446626,0.3490868788829578,0.4626391044350054,0.3828356728517504,0.46517198141791444,0.39020438162092286,0.5558753775585181,0.5040784623434652,0.3990934987463566,0.379977160027668,0.48076570474521974,0.5196505467352178,0.4109365657978432,0.3842169200794337,0.6257767860822679,0.38888023833881175,0.5112741812263849,0.3473536985596182,0.41413590978097875,0.43260882673092615,0.3732098816730467,0.48110304833827683,0.4666110038579536,0.44598893949830787,0.6470135048272553,0.2772951162674203,0.28859445874729656,0.24633194290790228,0.3468953325953984,0.35827989722247644,0.35944543459344214,0.5078715747700454,0.7110605883654226,0.4495639674818521,0.474255640388998,0.43438594452466245,0.393252431294977,0.3977049840967467,0.2781561244189549,0.27554847367890745,0.3903587496923113,0.2544638553631529,0.3914392392842883,0.3182318717749876,0.3787784950474057,0.3145467916001142,0.3153717574065212,0.30847331740741407,0.43201901092011585,0.3725234555103854,0.3763997763970828,0.806740068620124,0.944438235934621,1.671909848615859,0.6092698220313123,2.1008012277601,1.515257542641442,0.6374527484478302,0.6247564321725245,0.40808792531705235,0.3731810461357182,0.34220907775473647,0.33511129197494727,0.26192930228690137,0.34356248297000597,0.41933605543687186,0.5971387903229037,0.7005338128694335,1.3489936402161748,1.1760927361446294,0.5223931404214619,0.3811661828153096,0.4094233325504304,0.2920571110400072,0.3596295526563222,0.3108547058010308,0.35152012170705776,0.3530349862551313,0.3355938013056351,0.42443600069444765,0.5179914955387975,0.4540280534392904,0.5711138725521626,0.7412425614318414,0.8129628135125874,0.5291379744061231,0.41695132187497125,0.37440976045865365,0.3250651497610644,0.28441375554377996,0.3505058689676103,0.3762536751798891,0.5092684426030955,0.3418696962006059,0.34714230423837894,0.31247428772055474,0.32744581334106043,0.3420500070121088,0.34379414628752086,0.3639119373971322,0.5232954833823557,0.5883533527202127,0.7649467977862653,1.5477208411375767,0.9280168254795207,1.5475533131873336,1.2844654177166637,0.7911341086483172,0.6104667930223124,0.5552380755551352,0.47849024556617087,0.6065691348295897,0.4114001017501339,0.38928036603809363,0.4130024582201023,0.3329046669651087,0.3624636108236598,0.33461852874480896,0.39442263421538304,0.44817960079651853,0.5109172452792652,0.70872301440505,0.5154145287829466,0.6550769789690367,0.6248697669817335,0.590893746705189,0.69537843705362,0.8376704947198174,0.8897271920639791,0.7385148164199205,0.7949546922830015,0.7893679095276087,0.6472288965744842,0.5674188837439598,0.6335021471966347,0.6228690021089014,1.8052363308290635,0.993062408009042,1.6053304596293452,0.7037184000202473,0.665649285570263,0.6777386619540339,0.6578043824535341,0.5754993816226407,0.45589476201473733,0.5813686151240015,0.5862110362410657,0.7329886961962174,0.44005799177457006,0.8488748567729041,0.5478114470270393,0.6785287948371107,0.9267836803817464,0.4245666779927696,0.48214419031171235,0.5348476350241317,0.5780540752583044,0.6609568947448631,0.7867105426923428,0.7383903393823683,0.5513895629603854,0.6364893021254068,0.8826438595014303,0.6564397928273779,0.643586876101747,0.8195210360273643,0.9197422706422753,0.7731685113581337,0.8262431881822362,0.9636687967359117,1.0594466820513075,0.9248343803803037,0.9056889151588517,0.7425846121964415,0.6934014712389727,0.6358540279029801,0.612454675922251,0.6061333097907634,0.5592239456902318,0.5151747870831217,0.5078834963501019,0.5448222383230031,0.4676122265654815,0.48957559588029526,0.6909827751093924,0.6134611310187821,0.5724614519308512,0.6283970835355085,0.8317225163753049,0.7857948069779733,0.811543395841002,1.0587359610178941,1.4069795914185461,0.8527302998868881,0.7477820893154007,0.5983193767216415,0.5810113205147288,0.9341820177476842,0.8319188226786577,0.916990858284611,1.2704522975002235,0.8178837808547336,0.6286249796708867,0.35412619459232325,0.4395580604263652,0.4377976658387525,0.36716699925113433,0.5227029224089477,0.8494672222067821,0.418585090912098,0.5011144595934972,0.4531878923316437,0.382224700862324,0.6753654976750783,0.9001262005724315,1.1194196358980113,1.5514119374299231,2.392465739252693,2.656523973427929],[1.2808000149769347,0.4779461989983758,0.5382884644785723,0.32624502913896514,0.37571864496696983,0.3323042957008534,0.27099346244438305,0.24662593084319742,0.20476584036931042,0.19837915982779247,0.1603985668326158,0.3343745409382455,0.18839281978593264,0.22093725325502592,0.37813225903603853,0.30138993205976916,0.45643092383179185,0.5699057084416213,0.620357170277154,0.5950818198458685,0.6804467858682064,0.7744558021385556,0.766014083307919,0.92460907267287,0.6829294887110537,0.7007260609189788,0.6292143235218338,0.5643773824881455,0.469722433495587,0.37935724263000853,0.3962113127448643,0.38595051734510205,0.46780145810098833,0.42698822914889867,0.3701166689537042,0.4271741739594642,0.4129756837046766,0.45304892844670774,0.48653374454298104,0.472194572138276,0.8307554575227882,0.6252387440419682,0.5562525211600323,0.6618401750669319,0.7746656522543609,1.091471531377295,0.977516671240015,0.997662211304265,2.018860233049933,1.7365663374437879,1.5700725523919274,2.0131696168463824,1.6965289450572894,1.2930601123976015,1.2126156712077305,0.9315379472253665,1.0542504156661834,0.6834920678588352,1.1803478295751553,0.7706720390605867,0.8152302002889851,0.7587087145239428,1.0466025042241767,0.8916729936533832,0.7321312487299559,0.5624141811688659,0.8557302144947264,0.6535718385872776,0.8190088219699032,0.7676193089463978,1.1632638117814051,1.412703911133895,0.9856149035304321,0.9429688217615445,0.6736413799908912,1.1526421565459861,0.6075269081961183,0.5246650593286524,0.4854027736743561,0.5829519802580331,0.4665516615369006,0.5375046981141759,1.0277966758314838,0.5321607778499593,0.5194255827517196,0.44076474696466117,0.435143600555941,0.5032342177809016,0.4911340031954323,0.5132621370939059,0.5057743784270882,0.6146591679811609,0.5565536612869459,0.4463421702632214,0.41363248864083646,0.525536405262552,0.5345776046598507,0.44340600198582797,0.41964385045349056,0.703654260907922,0.4100687922405879,0.5095914036321177,0.3693893971581947,0.4141967207314979,0.44703641307969455,0.37341192224716124,0.49910665329891674,0.45436783235344674,0.43744939538857563,0.6482669470904618,0.2847358840996709,0.3131496741404371,0.27553509992909153,0.41482847775806864,0.4577727269403935,0.4460331054786295,0.6123991569839974,0.5675610356885842,0.5593644584777322,0.6204141708674615,0.5584017936744877,0.5213323067080109,0.5012890301609126,0.32654416464646996,0.2955387623413805,0.41482586113268677,0.2640136910058318,0.42750986124229345,0.3546262305952895,0.3982792199884759,0.3375965255035258,0.3261137400318278,0.3397922084127322,0.4578309918386117,0.3878144682960877,0.3991660811272301,0.7828932322058274,0.9595484635193348,1.6064603445385162,0.634640901348992,2.170137877348349,1.4362083922886324,0.6966165989497249,0.7245664294727678,0.5092605981658109,0.4677698419270339,0.43777257732178093,0.3977784226038534,0.3261649382525365,0.3367932715365894,0.42258331154804774,0.6244684815994692,0.757441892127322,1.4408606569844968,1.2607579501425716,0.578708336404026,0.3992905378108463,0.42145237506270916,0.322969353209496,0.37425652196460557,0.3725795940544745,0.43050524723430156,0.41316429631042006,0.4180431234625374,0.4980105517522805,0.5760239756967748,0.4769729270072043,0.5842838239042859,0.6916643840147801,0.8030245764929251,0.5193152295530113,0.45936794549044174,0.42663977890565674,0.38127694305069315,0.33816657627062846,0.387877971070348,0.40511534404612637,0.5449373998075614,0.3903368547923226,0.4245828331782273,0.3657467220157188,0.3508903066216632,0.37039408608426344,0.38783032324521477,0.40932186458509634,0.5486729170142508,0.6365146504690399,0.8073220505080551,1.5423557266958803,0.9573792939896503,1.5533750856140418,1.367947388798134,0.8129618174476456,0.618320224410254,0.5703231101970534,0.49413392853647503,0.624566978245962,0.42135833375451903,0.39628683323251035,0.41106459194085065,0.3456499518830028,0.38843784877967347,0.34903341514236624,0.4046453866294554,0.4799282477763192,0.5431998583894604,0.7135991772298094,0.5392119057879476,0.7107297742369852,0.6666167055097355,0.6294417803236506,0.762412093409541,0.9080553947550173,0.9496195367544455,0.795256301038965,0.8354980516128176,0.8624153337355273,0.6735880625446988,0.5998540447247647,0.6888388070464863,0.6642729626236626,1.8869748270362283,1.0127705294926834,1.6456890554049304,0.734765180507866,0.695769257686596,0.6914785255967089,0.687800097644751,0.5805119380629951,0.4619503171160585,0.6007532905704136,0.5871895140233208,0.7165323215559994,0.44115114793381593,0.9028003439554233,0.5189447551075791,0.6531704847843752,0.9265014644990733,0.42259574501938596,0.4927302350291485,0.5601923606858208,0.6009263661688083,0.6931097031128481,0.832139001917002,0.7692837163883424,0.5801746166197309,0.6791722254006155,0.9379720931925857,0.685057992556487,0.6906060547800117,0.8930191410647333,0.9846631334781959,0.8327281102363595,0.8988582473016838,1.0528592294987806,1.1263511357150224,1.0108580416537098,1.0015710552872423,0.8200306761183254,0.767556425079628,0.699460746752343,0.6803443036920361,0.665040491273763,0.609699165217633,0.5605841246167466,0.5487482047768226,0.5799684675372322,0.4849443146959597,0.5078040363150301,0.693116803453962,0.6185810059686417,0.5607362527772727,0.6290890916072005,0.8074639276298194,0.774267099220815,0.8039832406929694,1.0557381034027131,1.4102985460866275,0.8613491290008103,0.756674112454855,0.6049192557769697,0.597669047983907,0.9530869831585985,0.8353563620049305,0.9143356658050977,1.260422654671165,0.806866895563322,0.6303232890053014,0.3619215391736734,0.43029779585305306,0.42908556249061297,0.406212639874106,0.5652655879612799,0.8848538905827374,0.43963677252883987,0.5145175677780055,0.48521387025889157,0.3880243699561798,0.6542843425446249,0.9532666846795815,1.2155054501845688,1.4376964273325639,2.5112610358101937,2.870530851174239],[1.207728933496289,0.5294329382079388,0.6656000016318009,0.4323265639865916,0.4879740558326197,0.4323323956141796,0.39778640059076664,0.32570238134962703,0.2922138620925525,0.3065310808461584,0.30111380516883607,0.41822322373322673,0.33931289290693273,0.3543589320715881,0.4649936132777897,0.4289562383966079,0.560512111218588,0.6920486077130473,0.7980970894989584,0.7404606615263328,0.8708779782708322,0.9409506827925049,0.9589301670398798,1.1866289298890735,0.8649398902032407,0.8917942943367937,0.8061122899119725,0.7137865374756042,0.5979661214961683,0.4866689918188058,0.5351845104387641,0.4896096565060147,0.6002995045349794,0.5712212874682823,0.4850868974979473,0.5514825036604419,0.4981797043967677,0.6093596226057891,0.6387682172873786,0.6276487069045346,0.9693083675118341,0.7815497938037725,0.7360140835283883,0.7848566804008946,0.929945480744308,1.2257949603395997,1.1634037401317514,1.1196031076953787,2.0934967202600427,1.704966349433604,1.6253569164071597,2.072644688402865,1.7203767347627206,1.4716237612476248,1.3012518903896335,0.9742741169228014,1.1685596990141487,0.8564323682459982,1.1151335655767864,0.8391507620833777,0.9363425282937922,0.8772095005581425,0.9989364820256876,1.0993986267965916,0.9595091768600377,0.705399038610172,1.0151638480360068,0.7952334830994298,0.9770766994057571,0.8688995132168491,1.2237189793324554,1.4708477695789202,1.042176655761447,1.0926099012886579,0.7843696993436795,1.2971999490863872,0.7568687880161269,0.6621363263777514,0.64128602111091,0.7260043168572003,0.6160359975887951,0.6603951865811374,1.1215714618623265,0.6493241498396031,0.6508918375808918,0.5620446911500295,0.5859672609098145,0.5861034518278648,0.6376582030914563,0.6094025596132508,0.6444087836787775,0.75544808760113,0.7281291053561296,0.611309746778402,0.5477490150030159,0.7143931429944971,0.7100399093049896,0.5836612268517212,0.5246126688327857,0.7715836321543698,0.49020964753108,0.5399797623148995,0.4534400657364723,0.43520251889495754,0.49522079279863146,0.4374560704030814,0.5085344907566732,0.6234414561702083,0.5663578888913671,0.7032266155005542,0.3760252523533564,0.4248061280769013,0.380172860748617,0.5347145468429882,0.5750432263667156,0.5996326686711378,0.7426870387967943,0.6789526200755693,0.7597077361816954,0.7898427293133077,0.7559414570786246,0.7066420730241044,0.6910150608340085,0.49665764627827325,0.45997357974562003,0.5697916023733366,0.404970136856226,0.5400782361694788,0.5298457770700828,0.5617413887828954,0.5164029482358672,0.49696687696474906,0.47508233740034994,0.5496677568607927,0.4769886506975341,0.48308705018314846,0.7406372038082979,0.8659680213290452,1.4586004354893463,0.6813614176075052,2.299409322421514,1.7156764979195498,0.9104698745938639,0.920710177896443,0.7096796229035413,0.5990072475974234,0.5717493067587098,0.4824814404029036,0.4074854054697158,0.4070785420746407,0.4649985307789946,0.653953563037511,0.7790178808141301,1.5052763379421266,1.2900167349669924,0.6112706562236528,0.4546219617700936,0.4584272198994542,0.3903496248818593,0.4005810417327213,0.4612816794582755,0.5430221568966513,0.5250350432174725,0.5464428297589956,0.6778587995253696,0.7434762216221401,0.6222336585685845,0.7819155616420737,0.7897195603355054,0.8879533548598281,0.6021609174359195,0.6071916680769899,0.5518011833896156,0.4844348776351261,0.4461315579557266,0.47043377820072757,0.49194982193296705,0.5942632706600918,0.4967931814254489,0.5305624454729205,0.4730838768984281,0.4173488506046006,0.45286420792166326,0.5146361237670759,0.5423074575704006,0.6726146566714443,0.7765001270074676,0.9503777195352623,1.740521276275154,1.1957438660827067,1.4340268385278359,1.600027963580943,0.8988809853664201,0.7446536373692446,0.7476002643849442,0.6846672783891753,0.7200345277165758,0.6202935745335645,0.553176815304784,0.5332415875623094,0.41167330664852286,0.4212479929748347,0.4028541869911503,0.45032886266072797,0.4935432276469997,0.5574946406051459,0.7454821999614424,0.583607437877677,0.7308153792921633,0.7152421767710713,0.6927253656538805,0.8124231687694734,0.9690637256664151,1.0021588814876374,0.8753419093816435,0.9163629454602318,0.8946448365131966,0.7447669079987843,0.6461392337069091,0.7201211741311427,0.6806209663120041,1.8146506709074153,1.0315875410095492,1.6308007549134107,0.7496538084399661,0.7181326809518287,0.7379492397885241,0.7204311794717165,0.6204561948281488,0.5241050078505363,0.6349037496006449,0.6624104926961325,0.7756269471608049,0.5384356305034166,0.9496527619166915,0.6570422206973298,0.7814825844284471,1.0215264023048856,0.5402777412447729,0.6189971832786884,0.6514074390058278,0.6366912189666497,0.7215458331618306,0.8176297592484606,0.7884130305403622,0.6043164060948754,0.6853857428737803,0.9370461205752967,0.6903096834765704,0.7077714264623574,0.9074901467801066,1.0078004518330828,0.8562007164007831,0.9245477702679188,1.087531504376503,1.1820952517274583,1.048978110104077,1.038873751809941,0.8503382666071697,0.7774193010787526,0.6909327974913408,0.6559214251523199,0.6793726856337284,0.6169812010603724,0.5457215804224046,0.5525907379985251,0.5975037115453561,0.5206906754460914,0.548233820465251,0.749576763276528,0.688578725847696,0.6692002304775385,0.712002122047462,0.9887921132528908,0.920321741190627,0.9419525472061004,1.2137520382737177,1.5272390930990194,0.9516359369339752,0.8636878252657779,0.682355255897259,0.6560694395282693,0.9930834934479165,0.925361081724732,1.0648221081662528,1.4304021720315394,0.9746516313401721,0.7296630193774639,0.5063267226093625,0.4883189446404415,0.5061053585875278,0.44193097293717243,0.5894898531789075,0.9203546854103646,0.4833406141763086,0.5728429960237743,0.5293268365742425,0.43494004143658727,0.7420883223041189,0.9060920236022821,1.1220640519364435,1.3179631936618208,2.3058084039255795,2.792599712798138],[1.3260062003541726,0.47916426468155526,0.5577704882907347,0.33687641790852635,0.40980327303788666,0.3809874814725136,0.27808914905599685,0.2807234485055945,0.22661966092995217,0.1948404032447468,0.21896990278493297,0.3731632126119928,0.22548909010235496,0.23882198533657353,0.40330355501510473,0.3315054642456116,0.4332079396656396,0.5718271693226397,0.6480017413333228,0.6015652952913412,0.7094446342322948,0.791535024963946,0.8026985078988867,0.9879898817473161,0.7011788597188283,0.721649222217463,0.6259611474679606,0.5473412509109689,0.4529894319021176,0.3662636682512981,0.43707114250053286,0.40245287309965616,0.5038987260291948,0.4537942260652809,0.3796179369429233,0.4271695616822184,0.4095726286571664,0.4320379242689432,0.46147604275212467,0.4459693044829431,0.8171406553815267,0.6198960548593629,0.5579417660056536,0.6294261689982366,0.789589922547379,1.107313238043096,1.0167110193515654,0.9645623002295404,1.9707034070999845,1.7126117300085926,1.5336874061675312,1.9961448443667116,1.7006077907508543,1.238789852401141,1.2084431617906304,0.9440585175751995,1.0683654247010435,0.6883137163483681,1.1831875745215354,0.778392742448486,0.8298796063609833,0.7789565580850566,1.022207298802886,0.9631034894849853,0.7961998827149481,0.577301069137309,0.9107583626450458,0.6952534253774119,0.8883692405468019,0.8155815816903194,1.187736090822921,1.4752191420149205,1.0443396551034736,1.0302816773944163,0.7271011697994519,1.2184112311909903,0.649874658221584,0.5658168166648785,0.506739960765408,0.5882083145983525,0.46770305344317503,0.5217302413225036,0.9943608623768397,0.4725180705621735,0.48561870084911307,0.4097381557141711,0.4195856099759923,0.49082540759195065,0.4970530327066009,0.5219715242203847,0.5413848600205095,0.6655678383749156,0.61356613244679,0.486287387147418,0.443981066099956,0.5705394924881215,0.5436500454046357,0.45748297728796433,0.4584148922636117,0.789615730268285,0.4573046176306854,0.5835311342565276,0.3963106082550631,0.46254039716290085,0.4645610109821514,0.4026914023703938,0.5552505420873604,0.39565412159597635,0.37742672220087026,0.667543508321095,0.2994453998161193,0.30451978518973793,0.25612251151421156,0.37214886254188634,0.4217218739468927,0.4366348159824512,0.6045461660242208,0.5963791509420673,0.6061639202259947,0.6260033356355962,0.5871297837602152,0.5247219872897991,0.5164047412473655,0.3369534791514594,0.3189668987006281,0.43819412620485415,0.30420820677922616,0.38254583462126507,0.30381437994535765,0.3766677931860769,0.32528459637391466,0.32466369012266033,0.3355779535333872,0.45710071134970354,0.39462330698613685,0.39317095915207095,0.8233184720622947,0.8974118178511824,1.6243710395328934,0.6115132256092931,2.1699720955743036,1.7186475162649444,0.7662383220041384,0.7364350500744474,0.5022251991723224,0.4304784837244784,0.4042176049017622,0.36473203472218124,0.29092327801190665,0.3469594391572056,0.46084962002126323,0.6584240945685315,0.8584170281744524,1.6340994312470947,1.3292944805500828,0.6334029461638002,0.42897372363831493,0.45828904564964146,0.3323846834555327,0.3891798867802134,0.33093462017487457,0.38534425280491524,0.37607724195315156,0.37161476404266686,0.44573750407971496,0.5697965679640592,0.4657083190814198,0.6172756265751145,0.7761167131641471,0.829870522239591,0.541149962901366,0.44528060164015293,0.3969435697111026,0.35247656929394694,0.3026055015114293,0.3629424244874226,0.3900040217122861,0.5335068091188011,0.3542463734920012,0.3721459457803756,0.342527384726291,0.35678325906857256,0.3806167412870109,0.37101019699849047,0.3872898612291526,0.5446711205459899,0.6384272587864536,0.8076775333793188,1.6156134258859964,1.0067759897364064,1.5211249327764447,1.325035544316369,0.8145942310382056,0.6226073862336844,0.5597630699591201,0.4907636405295715,0.6108017486111995,0.3830339803754488,0.3900154279280338,0.38380848444243937,0.4139210685418445,0.4893205602723836,0.40770275006545265,0.5143132951726237,0.6292764931833799,0.6879072459493221,0.8432540437034034,0.7055156359839236,0.9078073234952163,0.84624962222102,0.8084954697902332,0.9737978649174499,1.1200506550800475,1.0973200680668482,0.9771999309526942,1.0134191842740106,1.0302840345904465,0.8460142724132512,0.75418447321215,0.8835415780466531,0.8592270715350587,1.8921505878630545,1.2000535462087478,1.8037535225177468,0.8883063545772422,0.8279822718394813,0.7966828197875764,0.7329776031594596,0.7133281547574224,0.5689113243837127,0.6487875127879719,0.6497126207400639,0.8210032989539582,0.5064263409644976,0.8019182388843417,0.6142708235671056,0.7520297731256639,0.905832939747065,0.47828288878179087,0.4659867444170541,0.5434661121928149,0.6488123508519038,0.7241562578401546,0.9268904629879309,0.8409002795525875,0.6461587070387629,0.82477016181503,1.0395263508377643,0.808700146562097,0.8478048945823399,1.0723489284926357,1.1667566091423411,1.0244142579062623,1.112239110541623,1.2779362389251916,1.3451733214483932,1.2373356657892214,1.2427770692195317,1.0532090108836432,0.9866686899580871,0.8824283572712055,0.8417161974140812,0.8774499403749991,0.7918637680116759,0.7122747868530763,0.7257700915802899,0.7465302362869758,0.6219064820733298,0.6378687419226736,0.8369423411700389,0.7256295616674164,0.7041941387978108,0.7253356989387014,0.9045332388284152,0.8437291887695141,0.8308324470316066,1.0134498330006207,1.3155031743409022,0.9510765863163463,0.8364903160262007,0.6998004244892653,0.646420907283513,0.9758112594306002,0.8707493598933517,0.9536181311016871,1.280777344648022,0.7365677717828601,0.5773569224074941,0.3595362427127429,0.5699892904230801,0.4828798096368349,0.4540777172293318,0.6847929079497688,0.903624422927673,0.5092455759148014,0.6435754551848489,0.6119001631160914,0.4693888277136832,0.7520607836837868,0.8815783726423827,0.9935488151249272,1.1104479001891838,1.919544517666558,2.537721884665413],[1.3748377664271638,0.488881600284329,0.5341439581688726,0.35999832186313735,0.3992195354846967,0.3797333631469904,0.25330880564166613,0.2638464792554886,0.21862870865743375,0.1991526319780802,0.22269978107882457,0.3476338719848037,0.2240034107820488,0.2664941121136165,0.4905782844471753,0.37744581600256555,0.4637580379154298,0.5838231941060591,0.6034532174847627,0.5844824576450007,0.6672699833986483,0.7624439209705548,0.7263456919149831,0.8733003961003539,0.627393015720379,0.6515220629197009,0.587548024805697,0.5343349458255279,0.46045764566732716,0.3920772242627893,0.47338884803560655,0.4301737613324256,0.4721824970007864,0.46250639645115016,0.40824691884871844,0.45450283956620574,0.4316160204358358,0.4367164649890855,0.441061470557676,0.4222399083704921,0.7796735983407259,0.570544241077351,0.5066402326587123,0.6549716901526925,0.6874434073864762,1.087656148401465,0.8964208599874026,1.0101975628709607,2.0491404992004503,1.8689207223945314,1.6536668311277147,2.0537809810740915,1.769923322746173,1.2439489491824958,1.2294645941618494,0.9597057068214854,0.9983640461441157,0.6567997609056988,1.2307571827202328,0.7534990909094258,0.7623836919164017,0.7936270704706309,1.115888157584542,0.9218655378884814,0.6986419274872931,0.5572764766633781,0.8754473715952796,0.6829354149386944,0.8447013479029664,0.8419829276914266,1.2080558947602746,1.5296383658667827,1.0962850049104798,0.9924347604428333,0.7620467561635843,1.1800902912567655,0.6368697917008271,0.5740087196230399,0.50829778264307,0.569696291547123,0.4886731765694853,0.5385482122175522,0.9967829884089874,0.5287043618835294,0.4636045242056706,0.43153491815759204,0.43943796011088987,0.5247766661710352,0.49741888446097715,0.5505869209756304,0.5554174528694032,0.6553550928360513,0.6045519367287501,0.5011924146529985,0.4743723241338406,0.5455457386479469,0.5808779280477852,0.42608405450176945,0.43987812828440304,0.7587459788257226,0.4553468458204886,0.6041149734852894,0.4262066333480429,0.4856848127062114,0.5107059408409437,0.4233363129004723,0.6137963393714367,0.35421360260895324,0.34040389908065477,0.6713483741237576,0.3125131173889735,0.3008742993581026,0.24162726433871387,0.37570410941272175,0.4083453369074009,0.4099789272338235,0.5865645287951592,0.6049894496347037,0.5307190112164899,0.6149220113945335,0.542305601045117,0.5093003848849407,0.45829546039945884,0.30160452624327583,0.29667656611811877,0.36301877306484553,0.30409680858843025,0.36533200553921313,0.2851692566843378,0.38373216109360603,0.3446191141752286,0.3179448458670452,0.36646387205775555,0.49614385845209485,0.4554767006244907,0.4659505727921273,0.9172212820104912,1.0363977459369984,1.7091849452814447,0.6570626575212105,2.121718090769006,1.411228546420793,0.6471411582704748,0.6650549914704958,0.45152898555770155,0.43455489394329905,0.39320951057353287,0.377789031721175,0.3024836030510713,0.34146882069287937,0.466124599401562,0.6680698238459468,0.8773847212098775,1.5814311602894344,1.3120878097148032,0.6398246772819575,0.43475562654259353,0.4813537345090723,0.3584198058027248,0.4391873170863902,0.3518829647011797,0.4042848948372635,0.38620366859319655,0.3620112997487879,0.4583687524744115,0.5278330913400207,0.4745255734208761,0.5525656500979864,0.7443527359653234,0.8251027044219068,0.5794203907113809,0.45150595776867525,0.417125051703127,0.3738413514589732,0.32992382635790196,0.39739237646942627,0.397930261732339,0.568872199978024,0.38538555455232043,0.4227382413251333,0.35352341165143353,0.3968161925179285,0.4058541794427416,0.3775898499954053,0.38827678851396263,0.5140468648003474,0.5663010570110514,0.74762066415033,1.4523863816514877,0.8289882912398753,1.637111861509306,1.1994152446712862,0.7763673011439088,0.6135131465696425,0.5329344415577333,0.4562314254785537,0.689311747079837,0.3760176034613636,0.4071806882725506,0.3809714127214793,0.47745499106983574,0.553070233635787,0.4598694061945817,0.5588276808460525,0.6845141393199536,0.7308967259614622,0.8412286661765629,0.7238412975384265,0.936974475495375,0.8363059708364731,0.7923080079335744,0.9623832364145174,1.0862101059244416,1.096097102676329,0.9321632889117916,0.9602617275073843,1.0317167688174433,0.8290214667939058,0.7711060108289384,0.8992365793515631,0.8706690193049585,2.0240744605605863,1.2381659783630605,1.8586313047827556,0.9516725700528386,0.8909002700046075,0.8491937780633673,0.8092422846716221,0.7572421982082965,0.6188335711894468,0.7265636816665351,0.6863389274737729,0.8280843162852232,0.5399214133405257,0.871230639312192,0.550953595999763,0.7378158479452033,0.8806214072968505,0.48448798660726555,0.5338686996092997,0.6186160995295986,0.7297863044384129,0.7967040778381396,1.008199330693653,0.9082373104195833,0.722344540818104,0.8910150469418329,1.1134214572660508,0.8693532510381463,0.9054566812107898,1.1231675670302557,1.201736141586503,1.058347005415083,1.1458687527407896,1.2894652521640624,1.337185365829504,1.2394242931868533,1.2508290820869379,1.0735575655247458,1.0319481699884514,0.939320581142332,0.9136318836634111,0.922100212259606,0.8392628902457264,0.7754897102609576,0.7776458287059815,0.7823876353860936,0.6612232129458167,0.6856189269096598,0.8123535383478505,0.7128562821666098,0.6833837314790105,0.7290299916975973,0.8240822648119875,0.7982711526890881,0.7766909610557904,0.9295622591270384,1.2593640604788274,0.8958880974510648,0.7781976620590277,0.6789249155971084,0.652909422070304,0.9716779259228936,0.8081223012476563,0.8314435256060131,1.1266352552693661,0.6261302290923239,0.5424443122384563,0.37190180466055267,0.5480668223489086,0.4533648239049614,0.5320900683255291,0.7304116862145404,0.9361040778125439,0.5536846267641855,0.6278830049025852,0.579233403975434,0.46407897499518685,0.7203517439934707,0.9410258320701045,1.2396773753537427,1.3554242549374136,2.4497229097756734,2.8684412394513834],[1.4408547648473657,0.5408891178165278,0.6408211624021919,0.4243970677074098,0.4686180314675039,0.5368447013430235,0.36458523457651565,0.40750098921520056,0.3445254491838067,0.29672628726136463,0.3479315502218259,0.44575514008929684,0.3639514896785151,0.509576303057277,0.7499539544473893,0.6167900446966658,0.6975156551848438,0.9070639934074026,0.9891580244430797,0.9104804915637327,1.0544225404087437,1.0751466119083897,1.0967047547422466,1.277852908100182,0.9389498205362646,1.0030358958157695,0.8817666649522286,0.7914243987933995,0.7210676876354039,0.5908517775473504,0.7860505808188627,0.5947507716660112,0.6834012280772725,0.7146292607247805,0.6371326280833193,0.720981949840947,0.6017839972364372,0.6774583000042804,0.6577124536438057,0.6314927985418143,0.9468803657437637,0.8323688907670694,0.7961943929357036,0.8928178729250983,0.8129528864893407,1.2086521255687221,1.001678633866122,1.240705222206781,2.2310624146609768,1.9583259704189702,1.8465882261172868,2.181273879444379,1.8679166240292593,1.5091489803020863,1.4511872664323278,1.0778833744888088,1.0927103728958745,0.9668938378058876,1.2557081800029166,0.8686863585728041,0.9463076534688596,1.0574227971827785,1.254338516383399,1.314396859652354,1.0500702604678165,0.8606473889906678,1.2314876388420877,1.0373849836029172,1.2425148557637862,1.224652332121528,1.5206544198797396,1.9156228242504645,1.4793249487568023,1.4003405977067618,1.1500658487538131,1.5195651387677376,1.0124484371359987,0.9044884215539299,0.8240313950344097,0.8750140332177002,0.7222546483252935,0.7199559311404895,1.128577417146601,0.693127999883446,0.6136915332012728,0.6095408563780081,0.6698016755998125,0.6726809747071197,0.7885573612266472,0.7796909774407085,0.8952913399059677,0.9693328456427485,0.923949229015835,0.7876492173200257,0.7402372436293834,0.8430493691957132,0.8087053220556254,0.605175643762948,0.5607281594688783,0.9311584714976276,0.5716504751823123,0.7155727603429748,0.5093559745964822,0.5680815606592217,0.5700061010180585,0.4911203885886157,0.7190245774895431,0.4162264393416397,0.41510262949272886,0.7519287739951696,0.4308812623678913,0.3674761446172312,0.3176478927092941,0.4601421451418791,0.5464613976325987,0.5791792420960251,0.7892902056364833,0.659096420832182,0.8470257396321308,0.9222445610068093,0.8500563610452502,0.8151871528695882,0.6968045284036489,0.439732500553604,0.38484788181678525,0.46787470591627683,0.386657210980162,0.41928352531636015,0.3649409321881464,0.44725585411609725,0.4097791774316249,0.39220409568126885,0.4127298398353022,0.544992297645028,0.4631448213885328,0.47279110071600156,0.8958978336086202,0.9877182818130428,1.6178409575476158,0.714646748845946,2.3150376019389327,1.6304046743854625,0.8716363391212715,0.8771814491284619,0.6715597469161402,0.6139541813198618,0.5464336893634102,0.47508227103082545,0.37192028610992256,0.37687226186003014,0.5458482237651696,0.7628084686818618,1.0694365760065225,1.827729556570579,1.4606793105105722,0.8026886338496158,0.5376440965447624,0.580852850621403,0.43989729764254865,0.4930385671516717,0.40900443523973185,0.5159115160791929,0.48691450864159375,0.5104845325138587,0.5713514576645101,0.6273198076120713,0.514737231787684,0.6174146171916556,0.7296299327806636,0.8352317549559419,0.569836358433447,0.501085648436639,0.45957123665376326,0.4183554085451806,0.4155333255009545,0.47325525062511226,0.47397270730607655,0.6433410235121818,0.4936287756654892,0.5202020840680772,0.42749025413807734,0.4335439058331843,0.4415676088385568,0.42730356760814014,0.44502203383927813,0.6184207055797264,0.7111228390611151,0.859577384293492,1.5881235865252705,0.9740802438116537,1.5821996122901705,1.3007012078491678,0.7972425985224314,0.6343620015856196,0.5725701299353702,0.5019510513488805,0.722121624573318,0.4468721003246566,0.5007859074406728,0.47376515571896344,0.6508833144004016,0.7602755343739336,0.6232938983483484,0.7403984719231983,0.9337033669322001,0.9742755583977779,1.0116298145036127,0.978351851138556,1.2624066873447037,1.1186135033944107,1.077044104576583,1.3158646132629694,1.4438890594918299,1.3708666312227769,1.2521567461981946,1.24004140981634,1.3717313529004622,1.091698794242271,1.0458053921479518,1.2267315502946057,1.1745684769899016,2.162812994291373,1.533373495519456,2.148766201654616,1.2396051917046693,1.1599810300522095,1.0842857474825414,1.009669233433773,0.9887835816423391,0.829446392140343,0.9004044441624051,0.8492338824715001,0.9553613330661629,0.6689926910827967,0.9042230249906648,0.6580827168713109,0.8573205919918973,0.890433918469551,0.5888956275068542,0.6512713491928133,0.7591265616042845,0.9286765914788389,0.9926355768190496,1.277875606018124,1.1310266493695655,0.9431627012924644,1.1983909160676653,1.3946684589228033,1.1353406880084558,1.2022121163440709,1.489119733286169,1.5670693371078042,1.4033876002244758,1.5403022071133865,1.7243377435388012,1.7454431287637044,1.6443509746773233,1.6891317192301962,1.4755684453785074,1.4232232103566542,1.2743950848161893,1.2452406975289076,1.2874905089109068,1.1515791924410717,1.055949257924852,1.0717965410389128,1.0598366490998186,0.8830694432744065,0.9204565967769848,1.0170117357475068,0.8797711860853084,0.8534371245230372,0.8768255694456388,0.9661597504783267,0.9081344612184029,0.853218824595392,0.9618005839993905,1.2475431817264484,1.0430553587665663,0.9054092943873044,0.8552841515647146,0.7965507675995569,1.0206749927706198,0.8647252121796092,0.8839093340143811,1.1586145314420226,0.6458437600416324,0.545560768589107,0.4626839968816875,0.6400110243690715,0.5815694358037623,0.7208240734365531,0.9790537266307667,1.0667939588276505,0.7367607926045535,0.875904586865896,0.8623165957384328,0.6475252721747174,0.9144462192897719,0.9583583793571269,1.2396669895323538,1.1202901464068291,2.2155981029760143,3.0289667836462795],[1.4566431733437468,0.5167498911661453,0.5760985989130345,0.3987293278858897,0.45670503594631784,0.5057359474403526,0.3423639657546049,0.34181052423243646,0.2690635216323583,0.2439965057411837,0.2831584877605022,0.4081573785553941,0.2969002797431276,0.39703980170544534,0.6138663875179545,0.5184124723752714,0.6026468817248705,0.8051334949106538,0.9104617517506534,0.8275295846405907,0.9831587967938237,1.0165591941100567,1.0471157363289791,1.2519275939074477,0.8902700101820618,0.9447039844312329,0.81188266564042,0.7067410358880513,0.6288525015938248,0.5054032339189486,0.6911014373129296,0.5405773774811301,0.6516541752410822,0.662082919959281,0.5704752082301824,0.6360356707282117,0.5298452924716827,0.5941220567878541,0.5838973705819133,0.5579756356417097,0.9114064860950357,0.7777436729331514,0.7385089814431055,0.805372047905919,0.8005222052862047,1.1725626603665718,1.0073164102268166,1.1503864081582125,2.1442905036493345,1.8552981984525203,1.7477553015236835,2.1185298972403075,1.8051246566947359,1.4338471303739557,1.371871808470001,1.0100019307364245,1.075937358454934,0.8861191558525799,1.2025430617281134,0.8081364847420401,0.9000292766018343,0.9979324836299758,1.1617060155804215,1.2979431652283409,1.0286454920807342,0.7972717966752454,1.179047687650939,0.9591115074355988,1.1782277847381488,1.1181924531233307,1.4306391486776806,1.8037489334514674,1.3804292877918576,1.3505398209522963,1.0604741188178335,1.4850734109544859,0.9459581657184108,0.8395817457791926,0.7567353847235422,0.8064695874937022,0.6477375208637959,0.6537525920181894,1.0788935012363499,0.6003115701292909,0.5590969599184009,0.5332933229836643,0.5890972550394726,0.6073439295072468,0.7173491046072685,0.7250118621371695,0.8195763096272214,0.908682349079201,0.8584162272588141,0.7300245145852846,0.6651885088733862,0.7929281342110261,0.7238769808103033,0.5727350118121841,0.5344081685439722,0.9029278479721644,0.5383980311873885,0.6695309144559372,0.461503612010484,0.5175452658294598,0.5193453202193664,0.43359219636222285,0.6550600017405053,0.3699289882584228,0.37265908365649786,0.7066505172159591,0.3722788426472187,0.31606453537211715,0.27403178666973266,0.4050556818172608,0.48787540883240854,0.5158463096292277,0.7184638455055377,0.5852670384693578,0.7584249363094396,0.8358850311290826,0.7643118646530299,0.711035480828386,0.6037550471808094,0.3954558739338393,0.3528699580805428,0.4508264285334197,0.35619944754201666,0.38846170580194755,0.31916883321295936,0.3832749112299409,0.34258818649963557,0.3300206152660387,0.34759880480691463,0.4895210937920071,0.398178569389326,0.39907657139626174,0.858311612027475,0.9035765718411406,1.5819005913421524,0.6415629944277872,2.281002559940094,1.7546218792401873,0.8491203900449549,0.8459485757595441,0.617007733359942,0.534337952214708,0.4784265818964758,0.4053271329193749,0.3111334070775681,0.3476185339101958,0.4995553632962693,0.7141931023896422,1.0284842442262814,1.8191492432809144,1.40502232632742,0.7454306101154475,0.48370692878336424,0.5231379781746586,0.3804348048183564,0.4366188200087372,0.35544901081781954,0.4499081149058048,0.4035451638666588,0.43210135623233303,0.4936106519609096,0.5825741572435236,0.4520794489531147,0.5968301639096921,0.7377940553285518,0.8062084068541254,0.5209738597894193,0.4373617842325516,0.39574130936781654,0.3524858669294763,0.33986783585886593,0.3998668137644552,0.42601785048017454,0.5955640996340402,0.4216317496511027,0.4489189467375714,0.3583047298715292,0.3726505788908975,0.37728331987511543,0.36773444270970435,0.3831605163838175,0.560098245758648,0.6729818888507595,0.8246894491858775,1.6302966702996795,1.0079629986142966,1.4985590085652223,1.3193112682818908,0.7810585906900562,0.6016846243491925,0.5439941257943577,0.47755545516489734,0.6555735880123346,0.3876571332767464,0.4553045653975634,0.42785992817086027,0.5961220234018575,0.7017914218497194,0.5685982833273228,0.712712393460699,0.8880776839157233,0.9270491245019653,1.0235311784750512,0.9680003055057427,1.2271207206345083,1.1123710340695798,1.0879201604393898,1.3188677617115019,1.4454925978548523,1.3731625022759202,1.284328937757529,1.2795660112368823,1.37596652589975,1.1292644631060138,1.0480864319605616,1.2222181383692523,1.1814466278302325,2.097031459228602,1.5168986395005597,2.126862412973861,1.203796757375551,1.114541883078178,1.0255112517018403,0.9439758502415608,0.9531864567635031,0.786847382034987,0.8402686393619625,0.811913671136969,0.9438322022253481,0.6317051446409554,0.8371797726531959,0.6637065352696173,0.8539784336618964,0.9059290823273646,0.5734632105647339,0.5640831555043141,0.6739112546189425,0.8464239421359232,0.9161306079026453,1.2078337532267427,1.05267860517531,0.8618757281019229,1.128943776407163,1.3206487988175433,1.0564259165837238,1.1315931575508344,1.4201835030971957,1.4991099911505323,1.3520671555402146,1.490595520347761,1.672870359933831,1.7030248975879176,1.6190391540821205,1.663002479605952,1.4519788349485192,1.376953867162106,1.2142252140588463,1.1868370853970516,1.2526759515746249,1.1186899914512893,1.015657789408535,1.0481571845367759,1.0489167299471016,0.8705853387803776,0.9023730285213444,1.0394378833426368,0.8991574603442584,0.8722469733952488,0.8840136284254644,0.99830998124129,0.9416597784344045,0.8874609925880442,1.0076917886535164,1.2694388769073714,1.1143837451780159,0.9611131060019122,0.8928990841865425,0.8100663069393177,1.0480801973215235,0.9034241849751338,0.9484462543155647,1.2108417094087154,0.670224399899568,0.539353747531173,0.42123199431082803,0.6572572223157715,0.5589793957393134,0.6305243399889063,0.908766390605896,1.027031646595181,0.6663210864389559,0.8386115108542117,0.8260703556865079,0.5975747295298314,0.898552846506752,0.9347990495622461,1.034068136083844,0.912416994134222,1.7904244544696848,2.7861174599709866],[1.591001975426947,0.5394209993852563,0.5346532351462107,0.4072431140415595,0.4584250967704863,0.4654419673037438,0.29654835360370135,0.34034198843172087,0.2841352174722019,0.33246789967558044,0.40808847534013676,0.4575468318800557,0.37610205720676987,0.4328461636443707,0.6234626485376318,0.5218724549705256,0.5694798339978795,0.7179288557521855,0.7546565914957771,0.7039892643434338,0.8150021123402009,0.8722900405062688,0.8647185412797932,1.034244879646636,0.731331954648745,0.7726327623382397,0.6722953664966083,0.6202070498333331,0.5581353700637872,0.4829703973115485,0.6673048596690542,0.5524242859946018,0.6282953903987013,0.6406151406646398,0.5505214075426761,0.5852575313798294,0.5079197149365874,0.5223524171939604,0.499947148489279,0.47245024129827706,0.8151616490436939,0.6318819877217465,0.5918609837198712,0.6976477688894138,0.6999826166465237,1.1156593005742717,0.9297995093029051,1.0865682014265847,2.086961898793119,1.9233680756464802,1.7349998057151002,2.124064777906454,1.838885201620765,1.295457734568112,1.31965327852889,1.0113017687350023,1.016814105367971,0.7366000354024346,1.2319855581045662,0.7727247042582526,0.7994339607443796,0.8906921393624391,1.1599455561105396,1.1096544280497407,0.847801232789523,0.6674221929285974,1.0413333202850934,0.8486212382722794,1.0369810016878112,1.0255949026828972,1.3531909326210985,1.7055961571818723,1.2931022494676627,1.214991720902066,0.9774301343048708,1.4005900156418896,0.8342446236566776,0.7649144188799089,0.6755277433014031,0.7132167574765181,0.5930465316385196,0.6121131666372325,1.074334599604872,0.584256612228699,0.49015293968069257,0.51281062340192,0.5273154556478271,0.5935233280412092,0.632410622109742,0.6883490508694053,0.7541570311080408,0.851156254334082,0.8132821175375421,0.7224467372305806,0.6722729345534155,0.7804873279507429,0.7675637753022542,0.6001098286850486,0.5535833324170919,0.8278345056317586,0.5422717974610861,0.6697233690431449,0.4944584647326737,0.5504780641091064,0.568898298036869,0.5006923397130574,0.7205718419555548,0.4060524541524279,0.41381354497915057,0.7266602871364576,0.4073726055773007,0.35056784516540634,0.2947984269285121,0.3894458728273774,0.47410421088457355,0.48082116272808795,0.6710928492446,0.6175008284003319,0.6760298174513724,0.7529138180311513,0.6919300719457235,0.6452272121728868,0.5336612766664122,0.3986344208766797,0.36020142140805134,0.4137362033155143,0.36884938559369856,0.3832553032069165,0.34662797106171095,0.45862857966167425,0.40508011593977306,0.3845430266845932,0.4171558475163535,0.5362784685707259,0.48428775519774453,0.4658915283095985,0.9772667340402478,0.9617828285602429,1.6675939894713365,0.6822177009394783,2.181348384890469,1.7090085291977697,0.7796215908264729,0.7621017964888459,0.5343769734388614,0.4881175629026739,0.4513835349477995,0.4299209108816408,0.3444511643877712,0.38569795620486547,0.5026059999907386,0.6437980256172643,0.9786700869277335,1.7649998028215494,1.264923637126634,0.6728761160835577,0.47511651709594777,0.5172858050415994,0.4092672908666925,0.47690788733896466,0.3970234051171553,0.4329163963295098,0.41827527551756194,0.39976882442844625,0.4806189271834844,0.5597512370673854,0.5073526851442428,0.6171343591776289,0.844689280862907,0.8655231737896106,0.62162091747893,0.48207240143763946,0.44769473626239265,0.39159017004447993,0.36362529041020847,0.4268777188482571,0.4412119464178505,0.6446631491573078,0.4409810926894655,0.46029975606048024,0.37145302265285934,0.4253013804441815,0.4347933140188651,0.40027837215300754,0.403722319606404,0.5395638036370459,0.5941040682755503,0.7621745493784575,1.5343860534361313,0.89657247330671,1.5807348294170551,1.1664826779448452,0.7978661461248402,0.6568161479129744,0.5496387403625839,0.4900768027946376,0.7268650723419952,0.44765331542484227,0.5254109597278516,0.4870735793210897,0.7101994277672588,0.791867780938856,0.6410565086684724,0.7982518534833534,0.9731993389783105,0.9902541406028011,1.0774667075281268,1.0352636480536346,1.2845708606055697,1.1473199758924062,1.1238217087441142,1.3589879215230238,1.465613786257273,1.3787577308242056,1.285585506048804,1.2901137209680051,1.4106524084619265,1.1757364910698271,1.1051041979425444,1.2899208442064332,1.263598564489074,2.1739132739722664,1.5905987672200048,2.175361223849336,1.2737902582872322,1.198851079166532,1.1143192451552246,1.0545876727994932,1.0754145690477794,0.9047655841107096,0.9597707210406291,0.912952951187682,1.0454609760982543,0.7569251717025431,0.923490438559699,0.7984520139722023,0.935818019773564,0.9627748829701608,0.6928539475078982,0.6673103255337175,0.7558035485468112,0.9317953282952562,0.9757178579527478,1.2771017409903398,1.0906131475865621,0.9258258338070358,1.184788018366462,1.3412542615399836,1.1015821585958903,1.184169002998413,1.446808737977353,1.513155851326021,1.3862508479056959,1.5251514735028642,1.685640748631444,1.7098047469786837,1.6540474714243643,1.6958882028121816,1.4961775721068065,1.4380736627988937,1.286638194769143,1.2648521316912271,1.3238465922365046,1.194991566431175,1.1081823736387832,1.1465762624338125,1.1367503711288496,0.968347375569281,1.0019482595680653,1.1121930275108975,0.9737799972430167,0.961402240571491,0.993524578552909,1.0225351073382711,0.9740978958324589,0.8725364998049107,0.9319022368468197,1.1409794155369297,1.1263530538163589,0.9269877801835016,0.9054187605698432,0.7994032498921534,1.0123739216969545,0.8520786224711216,0.865364335460887,1.1078497533890859,0.6160521958150745,0.5235089723757838,0.472455635906804,0.7539258663490512,0.5498935677882146,0.6597586571225269,0.9333130372822146,1.0035804512758364,0.6664236438812374,0.834987976022721,0.8421292631345251,0.6176251529212139,0.8540430035413404,0.9498726776832457,0.9420341073340824,0.8251348573555737,1.5529297293540565,2.579947173384335],[1.6938055303119905,0.5367299652359006,0.5491391725035021,0.40793700399437427,0.45302332015429836,0.47222390479160203,0.28524103595189304,0.34322006741486505,0.28820184856173875,0.35904837572037895,0.4646162696908869,0.4686946674437945,0.4417261322642859,0.5259288638562803,0.789345891483567,0.6577487303836085,0.6767640356064936,0.8666632041002403,0.9136160453089972,0.8478446159466289,0.9826155834130962,1.0250095620974358,1.020287179606643,1.1671340915305815,0.8435737607830743,0.90324473225211,0.7833575792581483,0.7183282839759108,0.675273394383956,0.5848464460665871,0.8332232315312385,0.6612504247388086,0.7599867837749789,0.8057560839605035,0.6756573862989905,0.7209776586088014,0.6025554150869653,0.6249144459726234,0.5780202960618408,0.5461619199230888,0.8677487345375751,0.7433956447059008,0.7093345871657531,0.817708114445112,0.730433349482497,1.1734800987259821,0.9598512643970823,1.2139111043661632,2.191984456950665,2.0396808843008394,1.8733381924652377,2.2080789809520094,1.9160293917647648,1.381617704895897,1.4389611079632227,1.1107822086514558,1.0336473099034456,0.8916686077927584,1.3022047970245298,0.8594000376293218,0.8723239831162286,1.0434986104616706,1.2762847256248842,1.304722534256778,0.9905219917774656,0.8114077722914,1.2033744483739035,1.0240196960188828,1.2123791026791657,1.212130771729968,1.4965785323075036,1.9050082702607223,1.498793974844393,1.4061422785529947,1.1798914726125396,1.5788085377323826,1.0299647414459527,0.9572347388045812,0.8490856553793815,0.8547802263740921,0.7155966266658641,0.7076398407158266,1.1067489415708345,0.6797678561010166,0.5476684750976603,0.589423231226417,0.63178686821473,0.6879585226803984,0.7726048502412326,0.8427829206061532,0.9481550216138306,1.0578056591483112,1.0239109895157754,0.9191467770120489,0.8432494962940161,0.9647410945213316,0.9415305553028076,0.7151244223555048,0.6160824037522543,0.8325257220060593,0.5788840318426284,0.6988384135077447,0.5336613166394194,0.5884983103517256,0.6120004338532566,0.5286488924843489,0.8006877492375705,0.4372788777883411,0.47223433412286214,0.7559201230458125,0.4484257835543927,0.35609162382322745,0.3055761882331625,0.4123408745393062,0.5193692834163315,0.5293838571064524,0.7326890399542165,0.6112712270305711,0.7697614852713698,0.873204595995757,0.7844339125069247,0.7369359395459545,0.5816699294958705,0.4329628243589895,0.3761617464782252,0.4191354205175976,0.3838976336319105,0.3985855015971008,0.3825996610723125,0.5157825883289631,0.47528335083240425,0.448504948527177,0.4696916335920157,0.5892834969913263,0.5344920923223208,0.5106853071487003,1.0300596609056516,0.989964722880375,1.67336166087049,0.7145441009805241,2.223645180330511,1.7106821821312594,0.8147428975537565,0.806238203126097,0.5949220803215532,0.5666135989377545,0.503240706241701,0.45905351994670873,0.36370065185526423,0.3964592515971308,0.5206143776547009,0.6421046148751997,1.0887365876503954,1.7890852733259672,1.1902508728716419,0.6914211107498618,0.47764418301478695,0.5302648948846924,0.4322210881200757,0.5164294416337006,0.41037143070109305,0.47038384493507895,0.45863704910420405,0.44496918712627387,0.5053921304590967,0.5632905977251491,0.5232305371841315,0.6169765703131794,0.8686513421779554,0.8841249798723295,0.6489652980545008,0.4956674699289189,0.4581019621498345,0.414518402926279,0.3902022652746426,0.4560286937643401,0.46487243556273733,0.6743114059547768,0.4832343001449064,0.5042939411706067,0.4092684782054692,0.4607704494322775,0.4734972210110839,0.4308199536275805,0.4374966257370412,0.5753718842551336,0.6417850676148468,0.8053868313584578,1.5354771355413541,0.8998391908892265,1.629215449282629,1.1405204874331634,0.7803996534306914,0.6558891133320623,0.5826102941690332,0.5606047154085391,0.8044280822940687,0.5519906004623738,0.6490926288169683,0.6044842493502675,0.9008372941517244,0.9833887431422548,0.7804532747060121,0.9714231023848493,1.1888823974550335,1.1661238388733621,1.217546774946238,1.2479666543282244,1.5314781355617475,1.325254067985231,1.3295636004270641,1.6249734305839088,1.690771154761903,1.5619999414845154,1.5223860141290344,1.482109333797523,1.7101259267719284,1.4323550963695701,1.3611899332540731,1.5939042984242202,1.5709611144633338,2.412707021508988,1.9259082113097747,2.4836996178693065,1.568381239732238,1.4841565590362298,1.3478800512507425,1.3063028327331672,1.3353013736301096,1.1428954500413273,1.178715702398466,1.138349981955899,1.2361238541713944,0.9602960803535269,1.072118185465623,0.9505074512935047,1.085503803104437,1.011227267180073,0.837587320184447,0.8119177238268791,0.9304094055879801,1.1456063349891237,1.183990699725167,1.5329479275879072,1.2802424585940861,1.1166704601035673,1.4332740166860247,1.5604443077948382,1.2792640961656705,1.4156917077048492,1.717214736706203,1.7592175070970004,1.6257882885843706,1.8255086487737506,2.0066504742509452,1.9875621650643898,1.9577876701989405,2.042261228474286,1.8246864909745222,1.7645173083948866,1.5775059205930857,1.5733867360795097,1.6503354374643222,1.4671475262090463,1.380223510353275,1.4350137501006457,1.406774217905695,1.1981906705940217,1.2638444211919218,1.3499388189659516,1.1761912883807912,1.1470024854459087,1.2242900003563972,1.1865107435712516,1.1422993244543171,1.0019534133748462,1.0245611184687309,1.1409928253176425,1.3088854189814993,1.0327752637947476,1.0638998316644999,0.9070051580299676,1.042530566558959,0.8710773311121569,0.8612028755367204,1.0348358368552746,0.6513290846233569,0.489705408399805,0.5687050186140804,0.8155053105797073,0.5488216466527664,0.7694175593130206,1.0815312794710288,1.0836700566290043,0.7302816796624858,0.9171691331099249,0.9624862928342024,0.6696917948571884,0.8589270727820286,0.9346155494535693,0.852782635787504,0.8763310792962282,1.4536536089008774,2.858698098909721],[1.8079622773519473,0.6188339097951964,0.6657892153126105,0.46269373260204816,0.556458037992722,0.5195857386271051,0.3284714091262673,0.40201170236888073,0.34685003552576577,0.37678578233031035,0.5170230884037503,0.5453660876936656,0.4921682892748185,0.5279482093197587,0.8586312652882548,0.7169048967504908,0.6695866123549237,0.8481846420311394,0.8647312620252527,0.8216989367182462,0.9315710967758106,0.9879553158951548,0.9547991785920227,1.0368039320278328,0.7641335271228031,0.8250214854247319,0.7211168375206275,0.6666247268438537,0.664384809024594,0.6223864143328036,0.8784213462172922,0.7574154951571731,0.8740645939206275,0.9072666550661136,0.757698329208709,0.7531389313589386,0.6595253255658462,0.6187697679924681,0.5505994442116072,0.5471741055760914,0.8155020383265995,0.7025556994600946,0.6639524712545681,0.8298043526422486,0.7093966076547553,1.1874121766818613,0.9578039429223844,1.2108026404168788,2.1743771416458495,2.1383128801979776,1.9101188163791833,2.208974472567382,1.9718346342164534,1.289650272575639,1.4555257941396023,1.2088781515301044,0.9782628515058708,0.8698426868114588,1.4120955174613103,0.921429714472677,0.83778920875977,1.043469065592638,1.3300286748189856,1.2663567197798298,0.9194794163122817,0.7733224768757612,1.1681193307966635,1.0161483473033575,1.1738112698389935,1.2092619347738094,1.4716787955507113,1.8918113302886828,1.497096312619011,1.3733631102981376,1.198585072195373,1.5880320568835253,1.0510716104001594,1.0144084687651893,0.8910895922579921,0.8804696652048928,0.7521315969691396,0.7510381852085508,1.0966365732312056,0.7458433371180961,0.5508457641952083,0.6339141617790208,0.6448692656593045,0.751162540502466,0.7850469545879345,0.919984286248958,1.0147329490400032,1.1348527484117052,1.127868545521368,1.0497742822280436,0.9345609991344589,1.0711627688530638,1.0339362496721416,0.846142984683786,0.7452439557132715,0.8722343760245501,0.6888183395560782,0.7990410157357731,0.6523585781531334,0.7241986415630309,0.7745687748419583,0.636687260335576,0.9760991658304082,0.6042322533727077,0.6386687486321064,0.8445369489183554,0.5485614104531698,0.42307690922124763,0.3598671871543244,0.41087753341323696,0.46490893217467877,0.4758106152179973,0.6841908516824162,0.6337029950705384,0.6894474717039631,0.8152689230445789,0.7184991289499313,0.6764610938051424,0.5014191713095424,0.4031260805893692,0.34435700858626284,0.3639712568983231,0.4705908061141043,0.45038035758089057,0.5514851896127485,0.7088869185463271,0.6868259331112608,0.655863695717412,0.6640396553621593,0.7747602510028107,0.7193758548981839,0.6578500587920542,1.172751856903671,1.1158441584014054,1.7837642286114672,0.7392421556065637,2.1165662817987645,1.579714886256615,0.7277975112427305,0.7201069610761238,0.5214248179419871,0.5452229270463562,0.4753031533057137,0.4713833706012659,0.4021569676236032,0.43692130591854483,0.5802172718695103,0.6497633869290147,1.20079497418289,1.6758354508732214,1.042831755442546,0.763883706472692,0.5719689046207651,0.6248667980165749,0.523512799395384,0.6062035494018331,0.4401849701385861,0.48242367508367273,0.4576088487361171,0.43955853466518646,0.5181740566533368,0.5694484218311949,0.6131478584512066,0.6997467641021742,0.9898334991762328,0.9566267466977448,0.7745696760258652,0.5708689991004262,0.5130239817036351,0.47298583316945375,0.46163770521657543,0.5577737382685567,0.5523479005147252,0.7607952227698414,0.5652261308825931,0.618879804582579,0.4892273499658303,0.5901148759904439,0.6259582617119169,0.5806627383106552,0.534883641131473,0.6043374250882362,0.6099716229418436,0.7756847175235272,1.4146621452242765,0.7589987909724889,1.7840057690975049,0.9837440617084913,0.8110753695787042,0.757838167133155,0.7208529285968771,0.7751255711982347,1.0235309188721364,0.8204609802426291,0.9034841720880696,0.8428048271984768,1.1732603317400776,1.2318250301148228,0.9894976616090072,1.2043816878281008,1.438485626906329,1.3622829932514624,1.3734023366730943,1.477779219641794,1.7634437182051337,1.4806469350053213,1.5188875526920942,1.8454073076824793,1.8435289011255855,1.6975022233048536,1.7005516449858409,1.6371771920487543,1.9641287818115298,1.6869218421636734,1.638957980173241,1.8814287931251719,1.8807217467382191,2.6904439010539694,2.278820774895145,2.7709129066598597,1.8920167168304276,1.8129946623608566,1.6542458331714276,1.6388432399122532,1.6666206636817829,1.4644034380024744,1.4930280993311826,1.4822296800108319,1.540391456830595,1.2789294210627014,1.3292949277801829,1.2601512606041927,1.3663366449437122,1.1926063214298817,1.0948423637669262,1.1004339192222314,1.22196555066755,1.4352346590644856,1.4491261268493645,1.824794096425474,1.5078249873639828,1.3714114665285406,1.7023925599378262,1.776706320667118,1.4815819825347532,1.6561317200669887,1.956718488204988,1.9647131345331295,1.8304339837537953,2.0807344933793894,2.2477690128655987,2.176918974907379,2.192284221437349,2.314032327845081,2.1049051539134584,2.066130210128767,1.8709544883346707,1.8907438360586823,1.9691552852181096,1.7508844847099523,1.6910200075223847,1.7571845357825309,1.7090470879826793,1.491545057078729,1.593770547022361,1.6436687892738717,1.462264339419844,1.43122655745067,1.5437180806347457,1.43041017396821,1.388997574086337,1.2099877212320225,1.2278830134107133,1.238014860691208,1.5312486240872216,1.188779626212389,1.2489975164042029,1.0533774091018158,1.1458540355037485,0.9960385943238339,0.9591502884033347,1.0231191931428305,0.860732976243052,0.5813986209599414,0.7752998175330353,0.9362327638019006,0.5900999222769817,0.903985739103223,1.2166169187325935,1.133978009821845,0.8015231714356974,0.9827243410498071,1.0689764259612968,0.7045997558351066,0.8216586328381433,0.9108860086879318,0.7436038511968576,1.4025488843737806,1.7650598533272672,3.076341839363616],[1.7183871285272327,0.6117287664970378,0.69485411552899,0.436539424042557,0.5783399740441002,0.5617055771264439,0.38505101510294715,0.46125784115071405,0.4042832479547976,0.42867495587010424,0.5362221358893059,0.5356267120275979,0.4945236539142958,0.5547313819942342,0.8237909680176934,0.6915499210537406,0.6810172949873324,0.8653873921804268,0.9008502574418233,0.844459646926626,0.9741130711015424,1.0071688749366807,1.0053745995734638,1.1393397242420118,0.8096215782812599,0.8696588307107634,0.7486606618366104,0.693159097940114,0.6685367124693193,0.6129028807747164,0.8670572400238912,0.7212153981128856,0.829233179128542,0.8708093364214259,0.72905902830923,0.743933230350692,0.6387243414301724,0.6232435906075298,0.5560535248114093,0.5385188023889899,0.8240690757222723,0.7180335304867087,0.6846659487877952,0.7872772467388092,0.738822646890954,1.1698786070796898,0.9706008233352481,1.1780605057130742,2.150077704266907,2.0572935040917995,1.8627122063637487,2.198882943020496,1.9361205023854247,1.3110436350375019,1.4160844240574841,1.1491646107976297,1.039204385745959,0.8735320257140012,1.3354770545635462,0.8864128340747721,0.8753725028331663,1.0724414782079215,1.3113024384416083,1.3382867048012055,0.9939007087365984,0.8184070983055282,1.2221338403057742,1.0391267188454965,1.2194277104245042,1.2213961003885057,1.4889681279139853,1.9145057660572455,1.5238037412785397,1.435112644642537,1.2137791641449653,1.6236031088577783,1.0639736157862227,1.014221688083566,0.891608119217218,0.8760847817884722,0.7403906914799523,0.7232434453154869,1.096630111131805,0.7139866560944792,0.5450998996599111,0.6077983616199655,0.6388334371004284,0.7388593098304159,0.7886793038768478,0.8995217554664617,1.00323305641371,1.1251492594566794,1.1048289716606718,1.0028562955732194,0.9013844804361477,1.0411928797193601,0.9957854297832723,0.7948006839522223,0.6877015572630657,0.8476076318880486,0.6481523968503212,0.7570428970115809,0.6121732470946037,0.6989853337730264,0.7299305201111597,0.6365283940266171,0.9766861392206931,0.591683365497116,0.6305169511653869,0.8692507728432601,0.5678099896417098,0.46191879212745013,0.4041764070176074,0.46586455713952923,0.5120965811019315,0.5084643074935123,0.7209256322728428,0.6574268681049525,0.7504507401200251,0.8398479196978603,0.7626943707150153,0.7158944213246898,0.5508392845941799,0.43529495936001067,0.39888443642512456,0.42633917146255895,0.4918046225958925,0.48327375083814195,0.5730800583465928,0.6808054468492126,0.6610365393947727,0.6345400431201937,0.6467718650607841,0.7374217916936658,0.6969173480093499,0.6406003554933912,1.1856479571548102,1.1004212125059976,1.795621314619856,0.7597037625756453,2.138452058509527,1.7626027405334808,0.8015768672401519,0.7657032017915124,0.5589737785885566,0.5635442823393205,0.4993531350363002,0.487878918201822,0.4244169582002317,0.4553738196798086,0.5996239660227904,0.6685004808613645,1.1807065386514417,1.6809251429405017,1.0680547251678114,0.7420753331543066,0.5517656410693601,0.607272342201924,0.49634569898665,0.6025849596756361,0.44670151245897083,0.4803371009625093,0.481252415834001,0.4573277263111134,0.550588836072605,0.6325811758264084,0.6455322499144295,0.7536108640323728,1.0431769135880526,0.9903419898552281,0.7950566244592657,0.5950071574402637,0.5267410803160102,0.4753750087694076,0.4548195247865961,0.5251171415362532,0.522430716754634,0.7227390552412842,0.5343861940101688,0.5764511469558442,0.48021480218748486,0.5674021781215928,0.5950696868993987,0.558342218926966,0.5247610780930116,0.5920653914061244,0.6302368492307437,0.7915139345269501,1.503009421478767,0.8753715394939819,1.6852229448625802,1.034867296732685,0.8313691850683623,0.7614210899194319,0.7301225880693878,0.7343214140970348,0.9572982936616664,0.7983361033922536,0.8863030591491363,0.822692473083619,1.163928031584939,1.221434490380474,0.977550099977845,1.2022858178105786,1.4430156743381417,1.3605236048737401,1.3825173821696126,1.5016693299647643,1.785463073606528,1.521564620441822,1.5760578141750112,1.9147679745201416,1.9081305358593106,1.7382712640015576,1.8072081908200288,1.733986021263379,2.0434728952097023,1.7835931457374603,1.6936730223159222,1.95601411595787,1.9606704811389362,2.650167467275745,2.3548382344372647,2.8166366656850372,1.9261943899523224,1.8260536826326463,1.6433166502744305,1.6207452734751147,1.6807285535392409,1.4677542575928837,1.4836235286519541,1.4837734524301234,1.5583391618794709,1.2754708553810656,1.296818834314983,1.2703568524949573,1.3464432171685599,1.1710944988972962,1.086955196364313,1.0657695505397893,1.198982075095844,1.4258271679829984,1.4426653992520655,1.8072247087776396,1.4838647154152345,1.3428931620011932,1.682397788924531,1.7346048145400752,1.4555246129311876,1.6392399086310396,1.9382711882296915,1.9402664401009835,1.8312367063901784,2.0961622108497906,2.263278296235561,2.197648641598547,2.2405265549740117,2.371994758307438,2.165460762673727,2.10238881505047,1.8808004509357201,1.9084542055070588,2.0143101705606345,1.777696369887261,1.7064309662329058,1.7848858517028667,1.7438130643911542,1.506299344460712,1.616592461234456,1.7179874209911628,1.509073948562304,1.4553598613253715,1.5635903770044834,1.5170571631214909,1.463953667060538,1.2849017092328026,1.2863333878732777,1.268309448869319,1.604853797417603,1.2475400043832838,1.30958878724929,1.0919061559418257,1.1401447498793575,1.0035968496191034,0.990770894870624,1.0717044756059377,0.8622232540980115,0.5798415836088048,0.7666462242735761,0.9777999629537265,0.6471719316535318,0.8824889088507943,1.2051477418162093,1.1364937329328304,0.8100271503582688,1.0352899498762378,1.0910405065338413,0.7256842041565945,0.9231962580746951,0.9560012854522979,0.6334195013785638,1.5323982003725183,2.0744729518727345,3.0004585750489006],[1.7577747880278758,0.6425925822059686,0.7774905898022036,0.46023096230712807,0.6432834929763427,0.5855035567142387,0.40441263216893697,0.4926208497395012,0.43532534687929636,0.4739346529683451,0.6072233592824244,0.6295491443353891,0.5654681198210495,0.6276258724470051,0.9460578547360889,0.8056627804655483,0.7546900328607574,0.9669933680811742,0.9735508550861177,0.9241995690454501,1.0465789638600576,1.083950399093088,1.0692125897494649,1.177311855332805,0.8494953172592012,0.9136903936763949,0.7893038110765335,0.7363906442505189,0.7450813457687153,0.7041589312599651,1.0039871236863414,0.8544598897745685,0.9742254034873861,1.0387387466890114,0.8636250861914014,0.8606171419496967,0.735446124913503,0.6989765704870451,0.6072434764958915,0.5968442175866475,0.8618358759395985,0.7760858610600552,0.7510550133081766,0.9033156641586043,0.7559320752725464,1.2567626419869928,1.0400092865705954,1.3023518408675954,2.2772617707852763,2.2400557233789216,2.0247647217521743,2.310883551217457,2.049340458481513,1.3730165605746245,1.543327961855342,1.254815911963806,1.036407766517567,0.9917353671387316,1.4144378833508442,0.9451279035056473,0.9073382518980824,1.1586175345252583,1.3976429313716212,1.454141385664525,1.0683692782603333,0.8991271580041645,1.3219266361462756,1.161579966053028,1.3207155118549172,1.3468946609058203,1.5844563332661088,2.0316517507703256,1.666297582840478,1.5644703131191229,1.362990335566461,1.7674891031910638,1.2070607545442236,1.1804763393169602,1.0310676104242618,1.0185488638102858,0.8460263140224984,0.8086131167428782,1.1621032656890284,0.8271585425889046,0.5936728679957385,0.6839394941724232,0.7190888741875973,0.8179455584050325,0.9034993738117456,1.0488171750428508,1.1639454770860296,1.3040500476156092,1.2978380887736733,1.1956535256399716,1.0632155056015387,1.2106600003390908,1.155288705580506,0.9542834997835592,0.8219975239153922,0.9357153796538311,0.7352849519145188,0.7907599766829968,0.6826570459143848,0.7388512222748636,0.8155289567422138,0.705839332604789,1.0731804274402643,0.7168955788074217,0.7505031614355171,0.9256308806280921,0.6365745547010833,0.5152662967880758,0.44770832581165526,0.5012913613495832,0.5497200566602248,0.5351998269706263,0.7523664941650442,0.6528539352350814,0.7914034610658188,0.9039730828865368,0.8112779996410021,0.7604180361451761,0.5611264167096377,0.4516247411652262,0.4169485254579255,0.44791757501452484,0.5316282532208626,0.5331472280347058,0.659932340263963,0.7712442543709597,0.7734094876121785,0.7485844811659553,0.7390826378334491,0.8109195876649123,0.7738183516531573,0.6937406710850869,1.2367423444776116,1.1413573404658521,1.8115434505693786,0.7824301441770988,2.138571821037598,1.7271699641645992,0.8012347603404613,0.7821075279136783,0.587616152587804,0.6113546474970861,0.535714722486045,0.5280976787284543,0.47415125815918563,0.4959553026971895,0.6347145447687891,0.681389723878158,1.2606047858390297,1.5912505549356741,1.0256013019336305,0.8011519200377083,0.6074855185842276,0.6489160803427109,0.5721594581935011,0.6396081029580226,0.48115172367179165,0.5256049144667555,0.4897539824713953,0.478083052293603,0.5552639164506308,0.6221435638708293,0.6707707520839316,0.7697744612930933,1.0839559807048662,1.0079026287011288,0.8341974433423499,0.6118122980269107,0.5390845966555452,0.5050451860083929,0.4995043229133919,0.5826364212133316,0.5966154092290085,0.8073531153240631,0.598136243196843,0.6316945228488821,0.5224809642903936,0.6184585297360299,0.6575955388946579,0.6196673866980834,0.5676837780347361,0.5933447370916363,0.6313571612453268,0.7542543848395493,1.4456563751640943,0.8374784009962501,1.7264189110062358,1.0070003351718821,0.8647697152344644,0.8202185972409366,0.8076732223475773,0.8655704593881626,1.063240269556376,0.9554355199057969,1.044027664444455,0.9624801026267813,1.3414858782844485,1.3730023917782181,1.0975658629366833,1.355520573116739,1.6162336082010904,1.4842855927509668,1.4900894305725048,1.6706563468168274,1.9585009813561687,1.6268570445074124,1.7180523177817184,2.095283890162843,2.0188337375113,1.8334811900950703,1.9680189532215435,1.8742403389451372,2.2838549178670964,2.013945097510064,1.9197661530256733,2.2118459138180455,2.2381754304336736,2.9068061196573707,2.663371736461007,3.078604870798992,2.1949226476469486,2.09194668176395,1.8722743299007936,1.867121512557979,1.9440920763023914,1.6912876893739468,1.6925217680406446,1.7114034187670608,1.7541971091751887,1.4719390549967633,1.500416121785872,1.482172852616447,1.5494206886882447,1.299775852170719,1.2583619432615214,1.2426224883087928,1.3842365304117783,1.613087051625942,1.6246389556860774,2.0417249230437657,1.6302265822613895,1.4982760257925416,1.8757405226731778,1.8903800329310965,1.5798054868155358,1.8037791893168345,2.1101755570780423,2.074484460864067,1.9697571062886092,2.295864651611068,2.4609754408361244,2.3412933218479384,2.446343380121016,2.629174141475344,2.4159374148307347,2.358407256125627,2.108476999109691,2.165855853940089,2.288578671812607,1.9975771115500343,1.9362242127886895,2.0429455569957824,1.98376304696546,1.714225917898125,1.8666847753461753,1.9516973958086585,1.719088676282309,1.6595206521507968,1.8077332151783185,1.7495037569857401,1.6677327494956578,1.4407660882503983,1.4581216687041711,1.3689233671670535,1.7964303598038647,1.3600438501094658,1.455813487743543,1.1854025440901348,1.1736234840480573,1.0547833131929125,1.0389070473107715,1.0519161021248185,1.0183183363620658,0.651715507314288,0.8919073639601375,1.0263141012523738,0.6851199372450902,0.9626422897396641,1.2846373489576297,1.1765570266774508,0.8505865033094284,1.0706581793391572,1.134213137571648,0.7524601316631737,0.9282487551405122,0.9849795131920726,0.7362365112964764,1.8893761783911462,2.4993367581795383,3.2983692342706314],[1.7189835347591325,0.7658129651107484,0.771027862907261,0.5432757574668872,0.802140626302388,0.584681931668326,0.4635201069068693,0.5192994361235301,0.48854590622265504,0.5089634559885164,0.5900754327859211,0.6157104264579457,0.560507650443955,0.6153728988879231,0.8795136720148863,0.7623192381149654,0.7393829544207408,0.9356708378753604,0.9605372746096265,0.9031791623758739,1.0257843787258922,1.0700531588313882,1.0639807792414437,1.2025424504579296,0.8628205072743568,0.9271188093721849,0.7951416810263758,0.752907593128395,0.7334678531176334,0.6851471693728474,0.9427224080295575,0.8151939736473159,0.9200685316783201,0.9688201843569839,0.8125091179039986,0.8197999199324265,0.707816323641429,0.6905025323827236,0.6171583282693454,0.5881575494790213,0.8957764913151027,0.7804783553379597,0.7472443208540962,0.8889403520862169,0.7630866459586444,1.2683747102183136,1.046150216974777,1.2804220506328676,2.2910061822955505,2.230542870927556,2.00398736818387,2.3060685614488676,2.0350174353357144,1.3486627301218732,1.5199715818760584,1.2066015065931128,1.0277773971705333,0.963432795634422,1.3791684115428893,0.9126371343175652,0.8901480077702469,1.1090416030791173,1.340035237788013,1.4233676085898588,1.0557270819363542,0.86324849872797,1.276320527611625,1.1065612253195152,1.2916558380681684,1.2833080287154124,1.5419970252152788,1.9697358453768832,1.580702659063517,1.5057335818758462,1.2884988669564001,1.7174265248475278,1.1463955232289524,1.105703161488488,0.9736664733842457,0.980887030866481,0.8031302419653372,0.776770040753584,1.161016680837647,0.8084064032316229,0.5791025241464223,0.6668704546779323,0.6924532345415839,0.7855360955347349,0.8662718590412151,0.9843696748586598,1.0907920652195735,1.217786522396722,1.1969700083839572,1.0996490593511312,0.9828755149673707,1.1130938831946577,1.0599244281586948,0.8899074797509748,0.7869417349164831,0.9159580159257298,0.7132452478160811,0.774708184707157,0.6645296568725572,0.6909005561974483,0.7752868622140469,0.6644215421423679,1.0288759180033662,0.6616964831550673,0.6953310007429767,0.8750141341300651,0.5969652003269464,0.5279556009071195,0.4950700382480023,0.5670890694326896,0.6098004507475937,0.5954174432032645,0.7972782979739411,0.6339388280107126,0.8076798394168265,0.9143568028041424,0.8346274136761053,0.7951351918143318,0.604012193052878,0.5136404617802587,0.5133356553006015,0.5725395763859872,0.5217717935158663,0.5507209968325782,0.5925386311594114,0.6767736049361056,0.6743927302660273,0.6784757541370084,0.6506188557678949,0.7455484329393084,0.6622174258276299,0.5872008395345913,1.063585650446794,1.0602367843500282,1.6880115705545369,0.8440661807420964,2.2552781699996465,1.9432053063258825,0.8972929264290234,0.8729357790430352,0.6361850990703383,0.6287995941104988,0.5811805557259725,0.5542341809532461,0.4926011368587075,0.5247150647764824,0.6194118320525407,0.6685070299877263,1.231828341331339,1.5366473914733383,1.0087645866349286,0.780863970795087,0.6010158639924754,0.629495556756768,0.5667157019479769,0.6051497652184616,0.48416553251317634,0.5345916324144753,0.4993895728480468,0.4987172626014258,0.5646411726218432,0.6178234511590256,0.5948114777825436,0.6988644424604319,0.9793455182686932,0.8806518550074304,0.7127803058279585,0.5433389912858537,0.5076713242023644,0.49750062802674677,0.4947059709813154,0.5667763952323494,0.5862871932980498,0.7789020122860625,0.5766235316075888,0.6046206418026754,0.4970888395764675,0.5761521471462829,0.6064693081222255,0.5726018874617763,0.5349647454133191,0.5742749226375206,0.6345452163622112,0.706403225332426,1.4734998009809845,0.8939359605290355,1.6045828723377358,0.9662751339586143,0.7929589403942934,0.7364047404430681,0.7420426231593571,0.7899846626445769,0.9510086391755053,0.8530724346650642,0.9284876984752971,0.8544208097343434,1.2013137532572555,1.224634251916237,0.9648411379812812,1.2043508038394715,1.4475400501117524,1.3079989196436024,1.3269079762217575,1.4983024565608427,1.7615950123569715,1.4422707085695254,1.5517240635663243,1.9167370244271331,1.8033923674842964,1.6059384975957225,1.817098519206906,1.7292718127013469,2.118769750249568,1.8725551845406425,1.7805262980044627,2.066022096006538,2.1306394815997516,2.7648210923615206,2.5735259063573297,2.926243261965399,2.0491677681009524,1.9621453190562075,1.742635278208575,1.7485091241806774,1.8173401040255932,1.5562900787870397,1.5643964868538562,1.6061867434099517,1.6730695864543144,1.3565472476316733,1.3669159129008706,1.4144905476140917,1.4236747231882039,1.196617471934847,1.1304414788822272,1.1289059925468503,1.2674560652768725,1.4805223484147538,1.4952779629477382,1.932994535782653,1.496652031574459,1.35155876875031,1.718469359256933,1.7465323214798452,1.4270497335770957,1.6179291412533432,1.9189295407301927,1.8733128404736696,1.7522444951419465,2.1014968289776466,2.254770028295091,2.099697876032283,2.236119657529944,2.4473665806706815,2.24324076906269,2.1942567748033097,1.9379907679421369,2.0131791035221425,2.1356657802742305,1.8223323099448003,1.7772620405323971,1.8954516996248316,1.8343892111283013,1.5641808310313454,1.7332467855798708,1.8406715801517135,1.5922446675767452,1.5216420677289226,1.6927310146099512,1.6451065307861745,1.557570724449232,1.3575403672435957,1.4133694174312879,1.3583798697733533,1.7350491601242086,1.3151360181778267,1.3449569346611556,1.102909274771664,1.2486134408105505,1.1144115383208508,1.1327510849224895,1.1926255317169183,0.9859640894929611,0.7392661917590885,0.7820984726515791,0.8953666570766333,0.6634881569566562,0.8193562432923253,1.1056117612093432,1.0495346888715742,0.7301504195030447,0.9221199444070446,0.9709142212055322,0.7069703737044061,0.8753040702231453,0.9889562934005043,0.9901070388767758,2.233300253955262,3.0914355496250017,3.5774159321658225],[1.8390333172960567,0.9929093268182344,1.1576244927218904,0.8549612756110544,0.8940493235893963,0.9047688908521284,0.68607898592843,0.7188310644226839,0.5911623620913955,0.5525382659977123,0.6367763728434176,0.7068084051857645,0.6160822530322498,0.6249864846052111,0.9417273673770709,0.8169141705234316,0.7329509589970729,0.926465675816961,0.9328327313138662,0.8888638720269563,1.0049578183406693,1.025586366954535,1.0254089106701152,1.0916705037136398,0.7991517659455893,0.8643115256336688,0.7878071415201052,0.7342028282991984,0.7386734173292426,0.7373727936084821,1.0180277081239457,0.8966922923266067,1.045646786090406,1.0910067594054587,0.9053680710772629,0.8742808486915332,0.7861568114832636,0.7302770481620174,0.6687497710224577,0.6913731567441573,0.9119878660790569,0.7823212631308537,0.7582414915657603,0.8372314476752832,0.8149208226758029,1.1821680330559288,1.0303478016571246,1.213829751662185,2.0760794197704087,2.1104951245103223,1.914416136427069,2.2472275250507874,2.06238767655712,1.3342561383128815,1.5142505215481266,1.3023541930165812,1.169929010013124,0.9875024414754845,1.4960264358268507,1.0708224466377834,0.9801309697394606,1.217150074374259,1.4616947394230628,1.4351151494383412,1.0264664298560222,0.9075320442910718,1.2783271744071143,1.1305444225419712,1.27474802730038,1.3136933287191002,1.525278765835608,2.0073150092254357,1.6486047682383873,1.5454472447558798,1.3438252415183745,1.7874191282079444,1.195945072196554,1.2198582956498205,1.0427901805008772,0.9949479243985163,0.8541374491649848,0.8586794430264455,1.1865909281375153,0.9700437722090574,0.7310872538741161,0.7521406179858949,0.7555518676242488,0.898126856206634,0.9069559140347568,1.0791697624349756,1.1764047463961367,1.3561525358821134,1.3547272945134838,1.2623646479738353,1.1037047932510053,1.2644232195272962,1.194563966217501,1.0212645262858238,0.9070433719159632,1.0477337332253098,0.8687751295157518,0.9926043470348531,0.8705938834908613,1.004061095618825,1.0965257925537393,0.9873984089550024,1.3586556065039868,1.1207544896024413,1.1556058664861582,1.204917921917094,0.9880036916915537,0.801553754198082,0.690667015506644,0.6740998340871437,0.5934960271559756,0.5766993250663698,0.7531005807515623,0.8258209385949226,0.7414813680671342,0.8461097091145806,0.7650870990445068,0.7102633522735537,0.5939191649639284,0.5210262235054075,0.5574851925768528,0.6293131662018301,0.8913536204875734,0.8640181373717678,1.0821928276901436,1.1819364094276648,1.2165925155910366,1.1877333580240348,1.169925250008657,1.1863944989771016,1.1736745291086448,1.069419434248638,1.6112977276739622,1.3825634743833832,2.0218013726812645,0.8490079485875685,1.9431582784078285,1.6267557378984898,0.7779613432908404,0.7315944780764239,0.6238227234627255,0.6522770661136507,0.6068845321415124,0.6559893817390657,0.6805064668598003,0.6926949342631883,0.8631606406063166,0.861493074510518,1.4026587212133428,1.5866371885003812,1.088599434218542,0.9628824119788465,0.7790597348467717,0.8701663031273881,0.7411513976169658,0.9054757728480768,0.742517255167714,0.7049731210405915,0.699762681109315,0.6584977041881328,0.8068032435923871,0.8781228564895921,1.036521326996625,1.158516299989823,1.4888761947940365,1.3716139105179064,1.2315805582073782,0.9400816497574617,0.8705130433042195,0.8042839579374197,0.7458071738419246,0.8062545101614235,0.7424554585348373,0.9648390995450806,0.7785973091173568,0.8511452525390126,0.810854593157738,0.9512142607136255,1.0157530951856137,0.9875771044513806,0.8960816943453682,0.806668255641284,0.7484069748270249,0.9245644071209559,1.4524414376699935,0.9012265978621914,2.002440457409484,1.1330693296301806,1.200856839033253,1.2188761920751312,1.2274897906640705,1.3407663364864852,1.5040452784575098,1.4688626589364375,1.5625621570606716,1.4438314573121993,1.855552329710737,1.8478639344474832,1.5521286453608938,1.8542869413817598,2.112709973574964,1.9198200792007498,1.9194421923755989,2.17105901004424,2.4185620672845882,2.0487855755376407,2.1910733477033877,2.5791559489516263,2.410649015539555,2.2232598787307953,2.4521377498423567,2.3488937877172034,2.829399888538996,2.5978074169554155,2.4932294946994733,2.790696109318341,2.8499276015425443,3.365872071624359,3.2952896044635787,3.6277384877431986,2.7720699505508613,2.664173223182576,2.410970775839452,2.435405043354516,2.5374947571118613,2.2689030978084532,2.244862676656412,2.3088903546356363,2.3254767985395293,2.0353104756486458,2.0332487540927526,2.059721647553021,2.096066690871759,1.7487492552024335,1.7784315798372052,1.7519177886715445,1.9000300779451156,2.118813353993654,2.1105462250294424,2.537021500327372,2.06618242791974,1.9636516001631141,2.341696780283558,2.2826001563226708,1.9949141431240074,2.2402656766111506,2.5185719662880737,2.436866340790856,2.3617465144310463,2.7432810206755125,2.873496424913672,2.7001543591007997,2.897212117507896,3.1242289421980463,2.939215286322954,2.8866989601411817,2.6184920972963526,2.714269203953877,2.857666913719704,2.5318171167748527,2.4862837763935697,2.6318282993152455,2.5650448447305907,2.2762157250460233,2.4698438559174978,2.5526406551359164,2.307098545293456,2.2401411053414533,2.4161082818387585,2.3492346106539466,2.2562516754987127,1.9951215945204837,2.0442204152791104,1.8654464457800275,2.36795308215631,1.8338941545729988,1.963550241344843,1.6343506904008784,1.4828469266728928,1.4303122442797913,1.4400344505364735,1.359580835695183,1.5601544012427044,1.0713502991703654,1.370993881995036,1.4405365138844126,1.0833823640764966,1.3501260030191788,1.6532496924926354,1.4526031519032034,1.1987843719389102,1.4193578667728177,1.4615730708298103,0.9852054888353352,1.2330655839889422,1.2082760535474908,0.9526651157866693,2.1781863292057166,3.081937764384892,3.7046543605503035],[1.7779027869727273,0.9930584336848738,1.1917141506497755,0.8508693106869867,1.0013392269503585,0.9073739117413904,0.7395759334019748,0.8294912732349335,0.7019512186891077,0.6629064949092335,0.7646857614984932,0.9359495413355234,0.7818290107173202,0.7256502448289704,1.0498760558737832,0.9817633465378198,0.8552093527150886,1.012607904534916,0.9599993298805851,0.9823996057271193,1.0522260307317657,1.078351291003927,1.0148061644982367,1.0182979289292968,0.8222479041261963,0.8627278220551002,0.834269848628589,0.8013951007211182,0.8629208243604677,0.9122459661739958,1.1757043264631672,1.139921086277289,1.3118515696115005,1.3433020183244033,1.1350577846079328,1.0497413544610872,0.9936169074180088,0.8466499842967106,0.7739997367491401,0.8282492294716344,0.9545965637938162,0.8379057437074748,0.8364479907632897,0.9477207496124439,0.9150840082322896,1.3324578243281113,1.178735899850007,1.3410035954707167,2.2401426904294404,2.3356084590301265,2.122196727498749,2.4342037188061574,2.2306777461687313,1.4268546529749648,1.6155529514471594,1.432562279682094,1.230670274335889,1.109766751437566,1.497140625418312,1.085276824251585,1.0144276244022803,1.2126595762106542,1.4446059022728746,1.3945972403061195,1.0840999453517102,0.9644078948032716,1.303431600913409,1.1968398214446565,1.2450773279556182,1.3199946252593966,1.5122145107379652,1.9747902232026728,1.651370236532113,1.5295250988656406,1.409237473882677,1.8597241973556582,1.3179508520173098,1.4119085630289578,1.2348043859863422,1.2162568805063143,1.1083429925686064,1.059651071903328,1.4069271788708524,1.1178341928870594,0.8450710910268707,0.9282125904171025,0.904099529607387,1.0648268490383794,1.0742155494144987,1.29693488101237,1.3535936519808287,1.517306739685791,1.5408088307551486,1.479726702927614,1.285428598303759,1.4353241349874897,1.3201842098916923,1.2821067323020272,1.184697260688073,1.287684480655344,1.1340393179873383,1.1232607158894217,1.0489351563676454,1.0589269978686782,1.1587146382542675,1.063420848013938,1.4248231801441984,1.1312346278163439,1.158481614904385,1.2282996384170763,1.0000141149580821,0.8763673812579252,0.7942056598552067,0.7860408359076095,0.7051762816197046,0.6595655454431645,0.8103172886031142,1.021706024228953,0.7859664033751562,0.8927378675005233,0.807089808856618,0.770195585883182,0.7020628157265684,0.6251140251336624,0.6377121812988282,0.7145252177692283,0.8970503925799959,0.9095470876690702,1.0778631687027465,1.1366535728983165,1.2021186225140785,1.1635706510364547,1.1566983059084,1.1592173469084357,1.1649140083315912,1.0734311737846924,1.6113910005746157,1.4739799692568365,2.1400262674251653,0.9974077336784424,1.8696841152351973,1.601755896121501,0.8375715154440945,0.8181565384571128,0.715762541889953,0.7732361304726837,0.7243809916570411,0.7838553878107428,0.8066789324851574,0.8043335214969685,0.9516419150902236,0.9751926621306087,1.509046258272906,1.5450541416656307,1.239149382625264,1.1476265631613602,0.9923345782927584,1.0029252956875385,0.9201365700712445,0.9579212242974874,0.8127162431036288,0.7989168899676165,0.7682703635750078,0.7387988569700364,0.8770069362554012,1.0007090092902409,1.0953044616235772,1.2624886424458408,1.5501165849238063,1.4409868499386422,1.2638167124097512,1.0138608237169278,0.8877722969584964,0.8418337050922149,0.8428801781071449,0.9354917556607659,0.9444449478103109,1.143157646819434,0.9328499873270062,0.9822436770787251,0.8787082615831482,0.9556965282561928,1.0081307456747415,1.0003923845620921,0.9293353987751475,0.8955501740738343,0.8686370535508467,0.8631197593963326,1.4948458399227094,0.9832103741107365,1.9378549436104286,1.1508213929659936,1.2124133629456275,1.2206743360347072,1.2287946280069477,1.3288644578702928,1.4817546017999408,1.4457458931036458,1.5261334095338064,1.3885035704573672,1.7478902320405596,1.7040547970807278,1.465120023855848,1.7594727112782325,1.9532113338584505,1.7622951709786263,1.8265841786988475,2.059038075240676,2.21092385934341,1.910184905382917,2.095056461016399,2.433862206709594,2.2190349211278924,2.1262103200514164,2.3818745450576264,2.2931885628806636,2.728832168616425,2.579851761831118,2.4216654481536914,2.6670216597922227,2.740782037808989,3.3061914751887715,3.122926107091234,3.307614208277133,2.5579065733949102,2.446493289335497,2.2243953910988767,2.2385982241731295,2.378173857076848,2.120760780340515,2.086116051293365,2.185992186393674,2.2384794802909957,1.9457107263849907,1.9641374356819212,2.032331417642224,2.06879009136212,1.6963589127802239,1.7079059576542812,1.6605368244314884,1.7962742641865563,1.959414275804632,1.9269373569765476,2.318090128978001,1.846025396409386,1.772434020525401,2.0672051696388696,2.010647386251992,1.752371399519331,1.996370189326748,2.1840495110803393,2.087065028150561,2.0916295767711532,2.4217077188113594,2.491334588530915,2.3560888491175467,2.6166981082812724,2.811246729513008,2.691572909592801,2.6132444924307494,2.3561499406516444,2.466997784140048,2.640034588217695,2.352746156104547,2.3050772370267616,2.4778490240448865,2.436979789353055,2.1682245525567967,2.356505115619072,2.492609004106902,2.2734073138304356,2.1952108515995876,2.390621791795623,2.373510151502913,2.2796194260786082,2.0193198383855964,2.1171256888073104,1.9534954813028553,2.4193899032399946,1.8818404382490788,1.9575865772005103,1.6158850437084806,1.4984314270426564,1.4641090740610894,1.4966095372903903,1.3955291136953865,1.586756297620666,1.1056175445280725,1.3389965847821275,1.3554514252936944,1.0680420255004748,1.2509053354430437,1.4679183211781632,1.3256141795963492,1.126004840795916,1.311749161061719,1.279109580638078,0.9992505986297795,1.2234068485867697,1.2425835733487607,1.300203130923293,2.6447568581641847,3.766971399984622,4.039714572300185],[1.8779518351013063,1.0964619210842999,1.289677965154051,0.9564840511993831,1.0506822399601488,1.0976081311467552,0.9190884736492898,0.9623670344185561,0.737917763358262,0.6410403384872141,0.6288432174301747,0.7233765743117111,0.6853434601094258,0.5882582839610087,0.7970348150105042,0.7214015528274572,0.6959120377136969,0.7595943746420973,0.7513291416645442,0.7820637311795067,0.8376363798812965,0.9032400563500321,0.8386323817944353,0.896698606941939,0.754512895890467,0.7527645425285154,0.7438008521741509,0.7119165540766672,0.7379168844861459,0.758806458886863,0.821990876275754,0.8486367374120538,0.9287416468218322,0.9131785604482013,0.8231238913439816,0.7804767385531421,0.8475813484625819,0.7492406248026466,0.7774857231943644,0.8814659470366617,0.967364760591831,0.7730232364281833,0.7475926998979067,0.8259664620833196,0.9806122886864512,1.2024675265749984,1.1085907764076748,0.9806335439804942,1.8310356520166393,1.8877565600454236,1.6582266879658176,2.048022891900635,1.983551362797977,1.3104771260539636,1.4656937497017206,1.323651270293036,1.2323518494346284,0.9040947145104328,1.5117501249149434,1.0970778010138051,0.9768748352372089,1.023651675999818,1.3188588944312107,1.1121362086843343,0.8537711420791969,0.7607052048161489,1.0418298314081842,0.8990751016698403,0.991871474907878,1.0295744700650902,1.3048977438073985,1.7345777131789648,1.3454745157714718,1.2326250647323487,1.0477965201630666,1.4632491018424152,0.955452085446483,0.9678432966367261,0.8738985931715731,0.8807362274209458,0.8475349708163363,0.9403691767703417,1.2821974985795712,1.091314813519023,0.9292664929418707,0.8828150618486947,0.8117945042608048,0.9490294419207966,0.8016837541840552,0.9237901315654059,0.9462677445905477,1.0694143180763844,1.0620301717704794,1.0075991192070326,0.8847664814867887,1.0184356961314338,0.9625825970633388,0.8754610868312611,0.8686508130664913,1.029947684993186,0.9318914092813184,1.1725534887904518,1.0310743363502073,1.2326284233976927,1.317431388533708,1.226884645498559,1.5753479180163898,1.3386633246734907,1.3693818377946934,1.4059727930638157,1.2249284148175894,1.0659024135658848,0.9360934374076624,0.8794928592703329,0.7108929897119695,0.6861361082053014,0.7252555454117929,1.1305041198688808,0.6924792212545556,0.736617667206517,0.6745037178084603,0.6521853054416854,0.6681730321966913,0.6768715719832459,0.7389893397053121,0.8339267338195131,1.120238502362026,1.114210549845525,1.3513283350911562,1.4423383195283257,1.448134546402643,1.4129437038165762,1.4261957114016808,1.435697304066447,1.452809009616155,1.3489053424647544,1.8651931376628974,1.6056662067315242,2.254783637961458,1.0302128543532898,1.7765031381989236,1.5904171653831756,0.8083325064949495,0.7607976559687365,0.7389375230137966,0.7621425509698855,0.7572380555859183,0.8249730633555461,0.9048223468021257,0.9070680719490352,1.096782808282973,1.0489305781258396,1.5036717299278342,1.6013795996832485,1.1548265642607034,1.0594312748505486,0.9238298045936167,1.0850562580083323,0.8946678217693975,1.1350869507177075,0.9966718467950659,0.8699556056073225,0.9612423384125698,0.900703606148197,1.1041658290176026,1.1890681584748144,1.3843207482539084,1.527780712870737,1.8281789220794922,1.6873716553610107,1.5492898874495973,1.256597928050195,1.159953346043975,1.0589698494741977,0.9878932629408463,1.0623901344150493,0.926471829727162,1.1280118182144967,1.0139217623862185,1.0899570530775948,1.0843368440173187,1.2003448132423093,1.2773181680057795,1.268231875937268,1.1880568213681288,1.0983331315734262,0.9774443530637937,1.0975283890464,1.5796388051097277,1.1034307171519033,2.2576060675564573,1.3119363096174566,1.4742056291458248,1.4948041558644334,1.4660981809780458,1.5483848987404467,1.682277820259981,1.6579768404202797,1.7300723938399707,1.620966416631445,1.9796859810677219,1.9780521954908834,1.7200221147683157,1.9786354597508853,2.197068876939043,2.036386514715873,2.0314159140744152,2.2450918674107143,2.46499741067827,2.1469747108616115,2.247177116368196,2.5874775370484477,2.4683696845343137,2.26938335544941,2.4330173595885833,2.3621823098838313,2.756110470611253,2.5767087893438836,2.4843946314157965,2.7279677705740983,2.768807129297046,3.2429228967865646,3.170080005831157,3.5089373394165873,2.7286636383682765,2.631968590058882,2.429703143142449,2.440015956961168,2.527347060812698,2.3163891833771224,2.3166714571317915,2.3559582087989273,2.375902390854263,2.1345160548240325,2.138438078509756,2.1458281594656614,2.195487874411388,1.8673003304217077,1.9015418062186773,1.8864962851851568,2.0262461953740494,2.201863799619368,2.1924058055282223,2.54249462674927,2.127489033807977,2.0573356298718424,2.3492435691047,2.2824214916009526,2.0697537176530467,2.2918110878118148,2.4937392509899725,2.428484937865691,2.415305928769107,2.693245965783519,2.772972270695337,2.6800708474127646,2.8474564359703227,2.9950539116940798,2.8655478644528336,2.807383205395617,2.599748418312537,2.6663540139933137,2.7835946560679843,2.544741254007096,2.5033151505822433,2.605688481369748,2.5522965271328357,2.3294829357152556,2.476802462180463,2.5429853814506456,2.345597106231658,2.311206124176072,2.4251286324797627,2.367060194071681,2.3006653498236282,2.053318555570824,2.06192587908382,1.8846156874088271,2.3425554325791955,1.8582378162475708,2.023507097712604,1.7192219172025978,1.5007448721796082,1.4951343697438106,1.4977884127663958,1.4360093861944514,1.6760741843853713,1.2187587901939236,1.5570950031449629,1.656751292208648,1.2710400004652984,1.523006817918116,1.7955742441760283,1.5896625622150853,1.3949535678886027,1.6009835586522274,1.6484686028106696,1.2037480687506243,1.3947164594792143,1.40330052678445,1.181752230733735,2.2924669645792255,3.3535079122015863,3.564698976320809],[1.8161699165513154,0.721507849001986,0.9070427825024487,0.5400688721723688,0.7654722462477136,0.767365547443491,0.6115624871468067,0.7242595604084561,0.5736019968268814,0.5276392308390602,0.611678005110648,0.6999941191905025,0.6144890603967548,0.5838996573426398,0.8702531517597208,0.7599796488049474,0.6968283945641268,0.8461290654729802,0.8235385788731475,0.8251519993945824,0.8955779367154908,0.9508835000396905,0.8823980317273403,0.9481111718292147,0.7324372522842493,0.7702935101492908,0.7123174361296655,0.6803144582896281,0.7175028649190691,0.7207049369681221,0.8882340949756272,0.8521528789861202,0.9419909072327681,0.9504832638841753,0.8293662043970167,0.7988549506599665,0.7876001932514604,0.6840166988186613,0.6477650083556515,0.7154438627437929,0.8656961169416808,0.7172616697715157,0.6891560899748562,0.8123161783002891,0.8251374883303211,1.2260621591256755,1.0578433166363013,1.1198999679824184,2.0470074518664365,2.095898952028469,1.8240882506969736,2.1491539791255483,2.00278605519932,1.2677432578346024,1.4314753356972818,1.2547010953135889,1.1158711929424299,0.8712567605011952,1.4499243183298953,1.0013276455157314,0.8891628483306883,1.0104886630725458,1.297042634811239,1.187094972145119,0.9005744481218698,0.7567302249805364,1.1434406940569264,0.9992558350223432,1.1217064173129652,1.1722026633429852,1.4418150442519877,1.8440317669324113,1.4594513611711104,1.3380671024751247,1.1672509762091698,1.5409638162108286,1.0333818756695938,1.0255704512062982,0.9069097717468667,0.9117554926420424,0.8104361375102727,0.8550975260650523,1.2076323224386258,0.9628274557360219,0.7418477897657386,0.7619894905204102,0.7345514969804106,0.8789889290430192,0.8221752390811727,0.957235297165956,1.0175533101589826,1.1304554946542755,1.1401067302006225,1.0750177899368727,0.9548108689788242,1.085736681082579,1.04480791272947,0.9157424428102352,0.8697128849985497,0.9852886643627593,0.8604469769889935,1.0374992782115962,0.8920167147793792,1.035007460221048,1.0879909653547628,0.9663282867944649,1.3063535894619243,1.0044286375174658,1.019891146457612,1.1362660397474522,0.8926595927522285,0.7687452333870372,0.6724867405456901,0.645104163162068,0.584921639881242,0.545715364180835,0.7153216127757324,0.8220780677872459,0.6491686502991386,0.7831507724809414,0.6940189893540135,0.6583057280085062,0.5226350960679657,0.4820396662711742,0.5037576560330298,0.5602843618018029,0.7553967156985644,0.7566583558962108,0.9581233307694933,1.0964550131378707,1.0645563668572464,1.0416253145711587,1.05474373551428,1.1247046330661632,1.0895116123252235,0.9938691322795653,1.4803289579242078,1.3402874458319534,1.9887728998883363,0.8790952834663623,1.974599306659916,1.6398012891104827,0.7602757364419043,0.7332653271988878,0.6039550006439066,0.6421146773679884,0.6026173731773626,0.6589158991664975,0.686154558160805,0.6962501422522622,0.8747460542292127,0.8776671481495384,1.392987650541303,1.6040539218041714,1.103445363380911,0.9537469162722592,0.8024809388739513,0.9047732572538147,0.7545598461068396,0.9050130925637121,0.7273499501396999,0.6806286295018982,0.6849128362656185,0.6540121726625053,0.7989912443121906,0.8528681859447628,0.9877190376777205,1.0961493616691862,1.385715816449687,1.2704876381918735,1.1396832394249086,0.8914697902110984,0.8352448196674724,0.7798511763684189,0.7514461026770886,0.8482797771879561,0.7819480356419789,0.9921920548664058,0.8268033195760949,0.8869660717185492,0.8119457470270661,0.917694204493725,0.971217024409181,0.9463988257192758,0.8682180974682183,0.8376667629250683,0.7673722896366685,0.8764544027224215,1.4434636561658756,0.8981879995677556,1.9777592353681883,1.1007849636637628,1.1197339201763206,1.1139167341179117,1.098402176148942,1.165622550715253,1.322456178818437,1.2453068687836117,1.3059828016063886,1.2335955150299478,1.587585958187322,1.6254985367883865,1.3476101796832045,1.5760831141201426,1.8282112726587338,1.691971056148904,1.6509393112069375,1.8397366572113703,2.129114428454211,1.7768142292542584,1.8416198895127078,2.2041973447278873,2.140830948367142,1.9231152690125604,2.0116525711114592,1.9358482561042214,2.3414832267159293,2.094272652561507,2.0382077326929124,2.305639513870336,2.333394007441665,2.9397007218777667,2.7522454847570366,3.190863044635444,2.3536152274233872,2.2615980891484133,2.076545799119903,2.0774120774360254,2.126380217757835,1.9178791850093302,1.9370526652811864,1.9440898700753924,1.9744300874170415,1.7282177752869188,1.7461650684165628,1.7057690453157992,1.7578988948115577,1.4948033809181567,1.4918057742380952,1.5187624729647946,1.6527930588743844,1.8579791158329155,1.872629940035482,2.234008061929752,1.86890818013695,1.7463385566625396,2.0727340221902875,2.0702509031253347,1.8107944605537871,2.0086955127952746,2.2756696011093975,2.2444288585847127,2.1529164072225404,2.4385227916156142,2.5722921529479206,2.477403261630427,2.5572250373631658,2.706973050723701,2.5246209611235173,2.484240812493555,2.284036173106313,2.3274181356224464,2.410670892788746,2.162512683598561,2.1257637402898744,2.196464593000488,2.1311267271094243,1.9075224930200165,2.0488860092756527,2.0906687950413807,1.882728223908859,1.8519664395732043,1.9701913258092931,1.8621643683967235,1.798061450942191,1.5643262486032226,1.5684678501900806,1.428734770809102,1.8588901014275623,1.4220196083231436,1.571604702388397,1.2855806908335543,1.2048270841076567,1.1310110799509285,1.1101174350374063,1.0861029790932868,1.2117694528406324,0.8121994614255241,1.1403332792054746,1.2622547656839296,0.8745616139328443,1.2022168923506171,1.515663164451689,1.3722458110345963,1.0641413884146063,1.272561190931423,1.37628106633871,0.9188812160670398,1.0441437695826568,1.057168503829701,0.8472669455114297,2.090778778057092,2.871382629093915,3.2652847297221403],[1.7513939308526951,0.6135961192540941,0.6681150097252399,0.3893852323020856,0.6571462186232515,0.5303006226153423,0.3837216513068523,0.46830357234014697,0.4265595991746179,0.4227404164409207,0.5118782910328887,0.5775815042010644,0.48751166325486256,0.4973930226970612,0.7339088289412798,0.6309652082284561,0.5923929894418721,0.7507104847279521,0.7473330736786181,0.7101463994555899,0.7962327879298995,0.8661506018507497,0.8189205747961698,0.945165226315587,0.6788000171676138,0.7180184456682416,0.611883193325151,0.5821250348414204,0.5807894268185744,0.5557487535816656,0.7573822171460045,0.6815243450444245,0.7720674278753267,0.7948500494503515,0.6537375204293377,0.6490553370644003,0.5815892106407736,0.5281787409840362,0.4762054286053798,0.4843115930674651,0.7915336706504934,0.6177346649473541,0.5676385784554475,0.7010248598049438,0.7212160781300304,1.1984386725751799,0.9993823030410448,1.0833149610896562,2.078947081299009,2.0798039119825606,1.791087129520738,2.1263660265121107,1.894201640376998,1.1618071301071036,1.3336492020791029,1.112821152448766,0.9875791587888292,0.7234410958691231,1.3414319200518796,0.816029100901742,0.7631164850184012,0.8903526899386003,1.194754849901637,1.1027002607606802,0.8285061456947409,0.6477840373742699,1.0558793717451018,0.8915184443268781,1.0449779212956412,1.0718868886781197,1.3644164863828674,1.742490040336055,1.3593673125038577,1.2549687611686833,1.054867965577551,1.451370758539448,0.9078238718050002,0.875195522268581,0.7635858100743371,0.7608556480790906,0.6398903104557327,0.6560908383075739,1.0540836865290473,0.6931588745619802,0.5015874206197178,0.5520818620978322,0.5538516156912183,0.6691258444616,0.6794780114925283,0.8087971162708937,0.8674605492383675,0.9827652302929367,0.9626224184182088,0.9007519477463485,0.8112495883993651,0.9447001727305199,0.9253334891117264,0.7531452010792316,0.6940545099794344,0.8223276327466682,0.6420426383039283,0.7541505569018393,0.6037809675209328,0.6769800446084842,0.7137324830161315,0.6253675520864342,0.9554374073406864,0.5999098110678006,0.6357758727537494,0.835183338213095,0.5493705441681183,0.46901230136044353,0.4152417437032021,0.4537757676725742,0.4699102897445743,0.4583969835928369,0.6550251788937618,0.7362838628910874,0.6198303500049884,0.7194825114322719,0.6545510082702167,0.6117848088257124,0.4742856001382854,0.39484238129086496,0.3746714834144522,0.42734473114278426,0.48750750961216466,0.49449110653710493,0.5948064347072857,0.6919260050024885,0.6620511065665805,0.6414183285177503,0.6497298682939994,0.7366193622327825,0.7030451269076833,0.6305366892570144,1.1624859794944091,1.0885959809545687,1.7762833469821275,0.7791211088845913,2.040279914072072,1.7988653607217269,0.7579150061396894,0.700974172744853,0.48259033542579627,0.48036751048416143,0.443964651712699,0.45233527421274106,0.4247459179197609,0.4582150417414221,0.57619588840063,0.625286990799562,1.104625148307953,1.5264688162744688,1.0051926664813016,0.6934894575228456,0.5495600952149345,0.5879914478620248,0.4892994498031972,0.5818707904997155,0.4404919313344612,0.4374198867923214,0.4586891257700003,0.41581029744803344,0.5477502881714595,0.6459333770340295,0.6756200849770235,0.816850309773003,1.1080438045147887,1.0012577991960245,0.8273720931183952,0.608272315170597,0.532642499847204,0.4638212117346167,0.44330793244580813,0.5310364471485813,0.5316872004675921,0.7309762739293877,0.532148331281889,0.5605932138225638,0.4796839629613768,0.5579236755203771,0.5934688594827572,0.5739853742350697,0.5310016096660266,0.5904707165652641,0.6154644835133004,0.7218385735248503,1.480153743235031,0.8578587809906346,1.6518745681828946,0.9533023305381937,0.8146146132915727,0.758419794240029,0.7314176908371183,0.7588169829690526,0.9450461394165093,0.8186988593074844,0.8911428327785388,0.8175336918208623,1.1323821600439308,1.1641041618018528,0.939201144345276,1.1702440748724992,1.3714836395690122,1.276942589096604,1.3422065815897553,1.4421964742521165,1.6750296722487705,1.4418841992715428,1.5097493908773292,1.8188815441210378,1.8002575296482268,1.6454930137646502,1.7263590986663249,1.6749100771259204,1.942120734553193,1.7413459440106238,1.640483574322179,1.8661170032541166,1.8809097360136442,2.5132222676707254,2.2747800519529657,2.7162493351723067,1.8355480530236679,1.7354878555398048,1.5640181487293556,1.551825219765039,1.6178181471641033,1.4243795182026908,1.432519537943414,1.4626850133764835,1.5670518446168424,1.2719691179579358,1.2817405307372964,1.3113751483795681,1.3509379982973986,1.167510715214564,1.083589963976176,1.065057249314046,1.1637755726102774,1.35518891084291,1.3568482838565248,1.6955042648905123,1.3536988580137632,1.2524474412935136,1.5485600547562797,1.5784205474722672,1.3284156513994707,1.5050213574453781,1.7500604036764604,1.744400644541532,1.672493434548065,1.9174364843343294,2.0426853765820967,2.0019054971839814,2.075896950959461,2.1819997394934325,2.0201473383369124,1.9492358578979159,1.7508426907259438,1.7861878231168766,1.8877492088483343,1.6847784137534079,1.6253421081436172,1.7071009474062344,1.6793352234269756,1.4644833705364741,1.5739446059508886,1.6798512391201195,1.4939611183624182,1.4492500888317457,1.5510664825158604,1.5015325997591489,1.457201442483411,1.2847874796071443,1.3084083281889318,1.2796110377022067,1.6170127405627148,1.2459695069713044,1.2945423819288386,1.0687273678721234,1.164684916582741,1.0269425969325494,1.0216115212911419,1.073605029222934,0.9031961574989986,0.6144932249249503,0.7597752389387789,0.9744037896462002,0.6059458426182756,0.7968137391343858,1.0877933292607336,1.0307920393560104,0.7204880967654851,0.9458479274362276,0.9925514435054855,0.6782502230839454,0.833746825789407,0.9270021403044643,0.7597105306633632,1.862786116371392,2.677458499985702,2.880842138643684],[1.6829188199455767,0.5299210542209107,0.5753623085304946,0.36664008992194863,0.5290771199759982,0.49487305058461584,0.30398085273113595,0.3685338639841736,0.3227495279018976,0.34588812389902934,0.44812182416364177,0.4927243142098111,0.4008768816402919,0.44301653715415157,0.6611934375604526,0.5537020645420386,0.5346666382245391,0.693462903798447,0.7088433120365497,0.6596385633954827,0.7538454194232517,0.8292860336848711,0.7951342053099361,0.9252660565045946,0.6503452968037812,0.6885338019898751,0.5809503789800785,0.5392426365206315,0.5143015301696183,0.4692328454524133,0.67564997134877,0.5878952372852725,0.6638826433755504,0.6897841899986487,0.560047211946186,0.5673119975073734,0.49662623813305484,0.4552301153241497,0.4196864469434327,0.407578102248305,0.7595418369752229,0.5725604137295425,0.5182450776986023,0.6488363364363076,0.6913101671498906,1.139381836865395,0.9519219372043912,1.0205070317256897,2.032753706277324,1.9898972252654992,1.7154568141557607,2.0805716249929356,1.853022570713789,1.1561906091591063,1.3041985504168008,1.057744268220273,0.9678837561288473,0.6611425506927318,1.300265814129224,0.7774476859169441,0.7353532208316254,0.8366393288216808,1.1434442410928014,1.0452716678667004,0.7898252159441105,0.6013848880014019,1.0103016175418549,0.8316991128284957,1.0092959594424853,1.02446380447568,1.3361829124323739,1.6956624336082908,1.3087791506378734,1.2075262623068892,0.9834256715847635,1.3863805604871275,0.8241052939476967,0.7840841552715131,0.6753531933491065,0.6783953289541994,0.5611675697709103,0.5843000572849274,1.002743628604266,0.5692926002103177,0.43159777365710106,0.46330330833672284,0.4801796288359896,0.5985028595467394,0.604305757378358,0.7258107709275768,0.7794345112992043,0.8933287204739226,0.8678901911225487,0.801373478103398,0.7278757396822022,0.8548370552921895,0.8451237131374351,0.6551892319542114,0.5990189714067977,0.7876014958210242,0.5458081769096418,0.6909758028854659,0.5151255550897242,0.6022962843088455,0.6119635699974102,0.5415283194925522,0.8459064886273346,0.48998089103756093,0.531604683322838,0.7791927324261899,0.4803752344225378,0.376762029132816,0.32209732434331584,0.3782660829498035,0.41612308964620764,0.42034964560865096,0.6158483929791392,0.7249232640789032,0.597759129057351,0.6927413844903957,0.6362399944505102,0.5838687191532567,0.4529261434656446,0.36296865145537316,0.32688144360321325,0.3704434377132753,0.43702818246513975,0.4165333897582201,0.5163657382276121,0.6110984843550265,0.5835043865853036,0.5457089188263203,0.5723558377371999,0.6553828230316193,0.6558982144472331,0.5970422875165505,1.1455759605249474,1.054687722226338,1.773471638508018,0.7138304750994028,2.0348310277716717,1.741882304270139,0.7173535868038744,0.6617577470696423,0.44123445567588737,0.4269610310548105,0.3835821189818301,0.37996507545732544,0.3295610474515498,0.3779720098519862,0.5124447122997394,0.5873919045799119,1.0431772738069904,1.6138768200227542,1.0537040927605634,0.6401176059346892,0.45844063806751034,0.5118939108821109,0.3926904171860094,0.5097991051068048,0.36688818622857744,0.3742402493788308,0.4048854362525214,0.3563151953412181,0.48598121941892225,0.5946574551003654,0.6336089363216443,0.7741772275750493,1.0630097983319782,0.9867569121719719,0.7881735189129592,0.5618819041398836,0.47314776250549706,0.3979060512342129,0.35487916699942856,0.4463652771051435,0.4477809869750451,0.650042611617897,0.44526838465066526,0.46000039421198646,0.4111470292776401,0.4918496409615729,0.5305565268694756,0.49968431078905534,0.4724149638180985,0.5384208688535401,0.5715339626824569,0.7011151037169503,1.4868927450008655,0.8204074610875144,1.6664278893974016,0.9814584983776167,0.8163715956245584,0.7286726855897373,0.6591575763789114,0.6565106719332051,0.8806768136728104,0.695949736742696,0.7812470650152079,0.7090476307892402,1.0100704066763668,1.0594130189838191,0.8542412018310125,1.0768289283653274,1.2677434689240104,1.2194872673062382,1.290709637328012,1.3455421609938536,1.5793440739248528,1.400050714766613,1.4230006576400078,1.6980223354243371,1.7457362647675592,1.6158185513204228,1.6026447930859138,1.5782845471753437,1.7603622438520807,1.568192218046588,1.4810316689461254,1.6836462809984007,1.681708269625753,2.3770886473805786,2.0383190194744927,2.538446000295073,1.6584809098185087,1.563233573833722,1.4195480855301108,1.381591109074704,1.4502326874453386,1.2638462308732037,1.2761338649307516,1.2854692852713896,1.3997856786219698,1.1152398376275012,1.1386659212128596,1.1616575054775269,1.249483930601065,1.1083561759907532,0.9708771519914303,0.9273899906508958,1.0277406264668547,1.215772274743602,1.2262912669441337,1.5507121558765633,1.2599520211483013,1.1490127630214801,1.4293702659899221,1.4803900038381714,1.2544335077552613,1.4203449150911138,1.658269949519603,1.6815040810150743,1.6067878592342688,1.800213768719897,1.9341443571739878,1.93971175796966,1.9589685777985073,2.0263679427100874,1.8576315375705583,1.7846311750228845,1.6031222538364642,1.6146157930704972,1.7080972680227087,1.546798650131663,1.4701285276664107,1.537646686699595,1.5208668557031628,1.3323792816768631,1.4091683766021195,1.5053947883788596,1.3502486865676973,1.326610422384278,1.3901694175452706,1.3561477130315376,1.3218767635782507,1.1648606579425103,1.1601037282542428,1.1961927213624457,1.4609467977935406,1.1483915814261174,1.1938059320792196,1.006919968995804,1.1054576799832927,0.9707453236757365,0.9576629862733447,1.0504465660233666,0.7814439573921896,0.5170300182331931,0.6774476285528336,0.9473507928322025,0.5788044210832455,0.7579332535826668,1.0537693751609873,1.0245530905996636,0.7172599963126627,0.9440469735198781,0.9736935674527463,0.6398994341916912,0.8611486909615038,0.9157998583450543,0.5316070437502328,1.2360313795981517,1.745983077355252,2.405416858459332],[1.6307220995621157,0.5429215346816632,0.5362220829136327,0.41233027029615915,0.4781150964387832,0.4932520532857051,0.3105302377899391,0.3470249797802566,0.28215135974586764,0.31875298609829483,0.4138170691505323,0.45299547345862873,0.3820714590086566,0.4478787388897699,0.6695946927922255,0.5644401084608623,0.5818460687010186,0.7606502231687706,0.8123394297437779,0.7434692130189745,0.873854897153661,0.9224514554545098,0.9282823826219159,1.0982469309572307,0.7636413154570744,0.8151199337305338,0.6924949398962811,0.6267896174130506,0.570636247583851,0.503553478885845,0.724304708865994,0.590443533454232,0.6892689972802601,0.7099615576224811,0.5923958975921886,0.6241923467032915,0.5264540454295411,0.5399912973420843,0.5009650823272566,0.46916141963930574,0.8262249668437186,0.6709133511344352,0.6267176672325916,0.7064526950577885,0.7346338596001954,1.1379082306091324,0.9686798546949864,1.088514331767934,2.076088064347018,1.9252474086130864,1.7339275676876438,2.114016918456143,1.8311628729240237,1.2682649721843915,1.3208225260065416,1.0245221299197467,1.0175617357913636,0.7590990357988889,1.2376741717686,0.7870910554851246,0.8331517454239217,0.9397141047332996,1.1674155902925953,1.1934649544762415,0.922171863625347,0.7107574972130759,1.1172327711841445,0.9171243801597866,1.1019238742228348,1.0858492903304127,1.3893612186141855,1.7664113677045252,1.3719352835732321,1.3082842593715354,1.057905254642566,1.478610816975971,0.9209501069439193,0.8534678351719641,0.7459815700069127,0.7596582767504642,0.6229150023864314,0.6241411828876339,1.0447335749786604,0.584352088139709,0.4840007006180697,0.5044409801726821,0.5402186150191879,0.6149023153148092,0.6758608563339618,0.7479028502607076,0.8371045144995588,0.9505787802335882,0.9125585614060118,0.8145369554781152,0.7415327637891016,0.8760622767298707,0.8344601096700188,0.6489340967808983,0.5841680314966261,0.8289890461923193,0.5543689825280685,0.676575955781382,0.49997062255038105,0.569029408583306,0.5775076167601396,0.501718117223096,0.7757134862822646,0.42064756162563954,0.44964974247504846,0.7595450103634208,0.43505938524199533,0.3483200830299581,0.30477481839912474,0.39133678325863314,0.461198257878209,0.47102979744252066,0.6677043462476674,0.6421986067991796,0.7025466551253784,0.7771082608384288,0.7077964620472423,0.6552399371154917,0.5326456941684364,0.398647589374522,0.3727298084444179,0.40945804121785356,0.40372725893079453,0.37103826444116195,0.4099116382800979,0.49979616434204854,0.46564163723843227,0.4455999842081733,0.45863132515154287,0.5706911350847376,0.5289991121490721,0.4930022045938931,1.0426321418297797,0.9542515732831104,1.678488212185486,0.6658438587483244,2.1357654329178644,1.8119423070317375,0.7980169716421686,0.7451021601130574,0.5281902774332623,0.4922938520514963,0.4431910540914719,0.41264851197989305,0.3242013926154438,0.3776949096102561,0.5163112192628421,0.6413177511394514,1.0597069563513137,1.7497022465757819,1.1928283044667418,0.6791669719268082,0.4653118492386784,0.5151386016907191,0.4004748515479402,0.47926474758472004,0.36444609774854875,0.4228498264964621,0.4173992690791005,0.3936052251041103,0.483867605188389,0.5507152343780952,0.5304722677142097,0.6696211873364543,0.9350871786059682,0.9108814233704865,0.675341619184458,0.4918372908433455,0.44248796689732917,0.3780865577955325,0.35132420326706665,0.42682124025092527,0.44298787673037826,0.627540789327021,0.43374513383946156,0.459381679750601,0.37618960209592345,0.4385177116971994,0.46117724759077316,0.4205506057374016,0.4198898754056825,0.5295918006306305,0.599748626229587,0.7612415413760734,1.5509785142066161,0.9132558358769373,1.573371399701748,1.1377996416201486,0.7933705362732387,0.6666031981141657,0.5689412228115293,0.5341448366521402,0.7724807830776016,0.5412708796147495,0.637458357516392,0.5871425720083898,0.8638981235121073,0.9335017063059002,0.7491021930717394,0.9482431988413298,1.1449206683027195,1.1255699590051993,1.2090780850359995,1.2316408036526452,1.4805470197167043,1.3196196897396018,1.331447222252238,1.604984738258616,1.6773103374474811,1.551889994239346,1.5384255900751629,1.5162295891873838,1.6695226776156502,1.449666168966749,1.3528555324975373,1.5611484574216574,1.5458192582411003,2.29485133068739,1.891301289273191,2.417681424328904,1.5183531520001372,1.422705002299304,1.2889259153659591,1.2318063774991157,1.2956206126429424,1.105524203666002,1.1202750688301584,1.116986036575173,1.2478076099032818,0.9430574312997726,0.9882555356449367,0.9920915552400108,1.0985614084769637,1.0195939962045333,0.8265422136182813,0.7680107096378471,0.8732701326833016,1.0788260403595684,1.1037878281144686,1.433532643485006,1.180934951950039,1.0429204193306303,1.337332163496973,1.430458386443127,1.1909361463513055,1.3331110983758538,1.6037084368392023,1.6469122051044873,1.5407810469484065,1.7288192641079156,1.8912586829574902,1.8978223401361072,1.8874599101721292,1.957451004179331,1.7617038460688428,1.6840664474437201,1.4926401706567667,1.4921195003466685,1.5857591350981235,1.4231065438658237,1.3311734783751938,1.3961398917661783,1.3836837308527732,1.1865849539440467,1.2500396854318527,1.365768877399285,1.2045785332067231,1.1758489440711075,1.2309035628683542,1.2247333690476168,1.1865494659595055,1.0586273320941915,1.0744390835594806,1.1734113705054745,1.369586391992711,1.0859611649458298,1.0954877847487954,0.9361921227864238,1.0702268729835829,0.9137548124191989,0.9273813505433989,1.0955534264060833,0.6817905093757808,0.4912883626503782,0.5642284824846759,0.8672950195459899,0.5861341811816196,0.7071663612624713,1.0058110649819696,1.0404183875224782,0.6971621002757845,0.9153583587707751,0.9357635976675753,0.6288483574067506,0.8754842050422325,0.9197257012044945,0.6412865918015818,0.9619907325591813,1.488708262931864,2.5540224085556615],[1.4843474905549323,0.5155409877285216,0.49259266949004876,0.3155090718349089,0.41866575487682905,0.4251846515978974,0.2593181559841263,0.30834016458338936,0.24962456061142163,0.30834396863534996,0.381513164791853,0.4518853433239599,0.37709278267184637,0.4504668047490144,0.6281184625528444,0.5518047904672096,0.6192424240965777,0.7929781238390371,0.8797810910460866,0.805753060028488,0.9592404534079387,0.9863659729433957,1.0387877287909923,1.248649529282998,0.8642098467704519,0.9104259840169251,0.7846437695603885,0.6941239634356822,0.626763656899601,0.5358007501311978,0.7233741926577467,0.5699508626049282,0.6953225967139908,0.6915977704702719,0.600646127220704,0.6584975820307475,0.5489110516135106,0.6042506279995228,0.5896219591330994,0.5558555381716991,0.9051423319343215,0.752623742441102,0.717026487677714,0.7530961628791335,0.8240390666285946,1.1781616649817477,1.0351279084818064,1.1214653187620256,2.087400419111093,1.8355929620143898,1.707886737753542,2.127330546408724,1.8125600197485108,1.375979869426223,1.333657212142426,1.0057217389753135,1.1166597278324828,0.8370172462088249,1.1903438103587534,0.8473527017038265,0.916950182330925,1.0062979242766936,1.1626346702444441,1.2706390755644383,1.0392069935043273,0.8092346213443414,1.1733349623727307,0.949863514191112,1.1521698027235476,1.0872324589542228,1.3970266499097392,1.7535217113875634,1.3553331754948605,1.3515707206050356,1.0471318417892566,1.4677123688910385,0.940067818001974,0.8541976986616324,0.7719663781433169,0.8041709336982037,0.6644177759435883,0.6508155798401213,1.080705946717002,0.5950370798676013,0.5626681179161327,0.5485756114141529,0.5940650770424768,0.6413605068839779,0.7277549525609481,0.7485371459095576,0.8321345773537413,0.9353320121713841,0.8845823555492748,0.7703127814267163,0.7045728620514625,0.834488827247074,0.7595780637911249,0.6103970837328675,0.5520998294402294,0.852418818863651,0.5470871143956485,0.6453474601323866,0.46709654848539545,0.5016561444311958,0.5205979277707267,0.44156131225219525,0.648989638535659,0.3580028904320134,0.36000928196432525,0.6953588850322775,0.3451099271044796,0.300525992782844,0.2646863700334948,0.4003732460418147,0.5053594457023183,0.5147494271935908,0.7103452052983112,0.6308533947903847,0.7732852329195509,0.8334742350135022,0.7762881503828858,0.7083326077782293,0.5935065462858531,0.4069666372067205,0.37370031864644015,0.46650502752483225,0.32214599032636715,0.3656348214207548,0.29542380393882406,0.37445214617197015,0.3365703870362546,0.33145221748545367,0.3229731925167064,0.4519564513734482,0.38560069285259074,0.37746187524783403,0.8649927821779648,0.8543738267917068,1.552702277871059,0.6541422224621096,2.2266026381790045,1.9487678025024224,0.9083507054272593,0.8431035971326623,0.6265722093783092,0.5507662187855608,0.4983597016549099,0.44195599424538723,0.3245458844443113,0.3613017417423716,0.4848480446836078,0.6678553723597072,1.006824300489735,1.7915680189032326,1.3030384076480312,0.6934581521967511,0.4625038118078656,0.4967742779340037,0.3990183300731024,0.4081345627561283,0.36647725908351814,0.4639941007999025,0.42722379183786524,0.4446202070486354,0.5131333625776788,0.5781785053801751,0.469468479052911,0.6298600264805053,0.8167124697389032,0.8211723383743325,0.5403610688443684,0.44903904338888084,0.4326914994753662,0.3833017389773184,0.3546123119346332,0.4146069285837149,0.44951983608391255,0.6239309156173826,0.4374536446686694,0.45194802286658114,0.36932716424948914,0.3723797632783934,0.38923386088701745,0.37450971560479424,0.38949891186069474,0.5770447562921277,0.6780073171214455,0.8364933939747743,1.6870931526653772,1.0740732096020356,1.4559590495530725,1.2989882806231072,0.7997727264246766,0.6234898470581709,0.5365996184545495,0.4623223851572967,0.6220415765481573,0.39833516575041134,0.4574341432418924,0.4258864445799066,0.6222378492954573,0.7134186427234187,0.5601979627200459,0.7202369910361367,0.9031896713240767,0.9214339716304595,1.033443181366994,1.003297124857119,1.2580900643687785,1.1385924299744543,1.1344351818661265,1.3877211205933944,1.497854429521881,1.3838260959278323,1.362393128784776,1.350609186972445,1.442631965081506,1.2168805917041652,1.1089857262483644,1.3021030298091856,1.2791450707934693,2.0795940630652745,1.618444913399291,2.1671724532929537,1.250414214025331,1.165573285885154,1.0688128179305403,0.9798437118295186,1.0307985860710582,0.8421334642447428,0.8741647294630378,0.8666417858558582,1.0315458040710266,0.6886906877981668,0.8113951651432754,0.7934948430491771,0.8972308390307466,0.9194908646439872,0.6050011371116091,0.5752277366287212,0.6739176204276357,0.8516336061759889,0.9117954908759721,1.2328824678142263,1.034289156265604,0.8585460693160847,1.1332449795113817,1.2860993956115354,1.0380666438292319,1.1333181581345584,1.4152010032014917,1.4858328326478965,1.350940736726929,1.5139367326811841,1.6961653298693404,1.7217602045202671,1.6676218626346526,1.7231592374876095,1.519008658454704,1.4305227920475705,1.2478320913714631,1.226500117866451,1.3182572439478926,1.1659871799509083,1.0591194024011086,1.1110748354216646,1.1109657301668578,0.9183677791052333,0.9633296599758845,1.1237040790343098,0.9643480522709071,0.9388486059888316,0.9642564602178161,1.076474865362448,1.0140313611198193,0.9348580299024534,1.0137879558421632,1.2022322102013348,1.2133235864551415,0.9913333443224811,0.9248964416831514,0.8058713239592022,1.0224855692797923,0.89830071251595,0.9604589472137277,1.2333862055644227,0.6499565328387176,0.517437519414301,0.41396215730100644,0.7154995211460845,0.5307977709460163,0.5722106119469195,0.8667958355548864,0.967306931568518,0.5971260367176342,0.8185068821713358,0.8305823492180295,0.5582365080774038,0.8481128901251735,0.8994790712817408,0.7213290544154949,0.8496761324364349,1.437898271155428,2.4998444697609865],[1.5886519426483423,0.5101246412426729,0.5340838062787329,0.36575139565628495,0.41771683209791294,0.47666214306352034,0.30804325238139724,0.35795756792674127,0.28696671232314297,0.2986324042987413,0.3539928918882523,0.4582063617158842,0.3798403901824573,0.480555842964216,0.7545305822722352,0.6333478115840916,0.7202931895473,0.9534657880739033,1.0707027748466023,0.9753429656846577,1.1680098743674334,1.158376314240257,1.244320129119642,1.4530953115881762,1.0246227565883415,1.0808701544013375,0.9301667954107133,0.8133339033165071,0.7585591183852003,0.6238130146435154,0.8582008674236409,0.6412500880124973,0.7845906228080828,0.8160795312296322,0.7092215269804689,0.7830541304705192,0.6482997369835346,0.7236370095468152,0.6917345578636106,0.6606202573166413,0.9848276596310641,0.8882688320260255,0.8643815907972378,0.919064673631567,0.8737436217059349,1.2149186572374664,1.045605930449117,1.278994219970723,2.207652394666662,1.914595647835689,1.8611333422359446,2.2037991737283056,1.8801938924537633,1.5966226994263428,1.523504803260447,1.1108687970889022,1.1574784637370277,1.0674919025671772,1.2831915618283265,0.9690725798641864,1.0480008556269063,1.2026336799844086,1.3202134494078979,1.5070382624314738,1.1985094615537368,0.9841022374380002,1.3641004099321579,1.1412848896140069,1.3561956638442676,1.2924377917991383,1.5659188226594358,2.0138056329783187,1.5867395091735101,1.5617202067221103,1.2543414320308086,1.6714433017292039,1.14884946546084,1.039741504308714,0.9416966601031747,0.9724897111570232,0.8016863634834266,0.7762173153530958,1.1627571057826853,0.7541518913646226,0.6363971365235803,0.6477824428875698,0.7140266330017405,0.7315687316581001,0.8693959329035953,0.885322312748416,1.0096961200294836,1.1083654264302873,1.0455611815188477,0.8998928633781542,0.8187401184456987,0.9333365954863108,0.8533549269327751,0.6633027275669585,0.5848262995855414,0.9401426345342483,0.5957810200876426,0.7385513149003504,0.5434750627343858,0.587017944056561,0.6002288610489883,0.49094079113270717,0.7446806939670927,0.3896621716113323,0.4140290372846451,0.7425478595766375,0.4124215777416845,0.3407452881973499,0.2951914235226664,0.427615487113351,0.5517070467930368,0.570601555123496,0.7924297186623936,0.706902871618678,0.8951278995135067,0.9762393661723224,0.8852279434634501,0.8074840639413842,0.6705384653162896,0.4390647897885869,0.36712410846706567,0.4520182604737561,0.35742706911385935,0.3782614211404276,0.33018017262413246,0.4407356677000674,0.3850770159573563,0.3821164418016926,0.39246273876872506,0.5233374481510794,0.4518857554407938,0.4485110639014695,0.902820830970236,0.9172382941810312,1.5666857345240655,0.6612730552187357,2.3163862916855953,1.7757501016560824,0.9420691752016197,0.9157449531313089,0.7060548161580426,0.6316564757395128,0.5538697922688817,0.483880540050069,0.37730893947024613,0.39047269623638137,0.5387130243714893,0.7220940209005758,1.1167017014559422,1.878966182850857,1.3402510069943971,0.7837562641033013,0.525363158673702,0.5685473472839361,0.4537719386990194,0.4901864492165044,0.41268365529275614,0.5307682295365378,0.46847473119837185,0.5183331519694898,0.5595125327339433,0.6136667136556179,0.4966765276057622,0.6250462077079769,0.7612906956955886,0.8302068981125619,0.552802967425535,0.4729944340170361,0.4663328909096784,0.4216530113614813,0.41942193965247043,0.48592365592789216,0.5020900941348997,0.6670748281571128,0.523986605059446,0.5353182573915309,0.4261962628299742,0.42780481197229964,0.43436255619163566,0.418722333745846,0.4367744066470961,0.6180873299077161,0.7232158835801973,0.8831224133381954,1.6359517862850106,1.0128461658247718,1.5314095490731636,1.3127256519977264,0.7986624079430963,0.6293201729362286,0.5521624002894019,0.489956564362445,0.6877777256826476,0.4394129027492945,0.5135590978140665,0.49190107670699645,0.7356699057052083,0.8489583157287569,0.6688683586810932,0.8276988709671905,1.0493551914558927,1.0580835997842053,1.1060381050934067,1.116970829386384,1.423057889129103,1.2415800167167719,1.2332212996803205,1.525630126416945,1.6201156292860777,1.4929502652747215,1.4567032340554362,1.416732549673055,1.60176617905649,1.3096581391853315,1.2269436373908034,1.4581265095747762,1.423281971927375,2.320097841162946,1.7677471091637158,2.3495131921200985,1.4197041398723176,1.328876503885242,1.2048825885558032,1.136874364079424,1.1562850227114831,0.962582795068468,1.0133439521769132,0.9572540322558686,1.060454511638078,0.7669240070689074,0.9496723874649233,0.7537483939781219,0.9301615766384307,0.9463636184821872,0.666027104045948,0.6665589941021399,0.7848005654905051,1.0012305544567657,1.0719142491962474,1.4304774180419195,1.2089687688757218,1.0090801690222557,1.3379603070526307,1.5154731882741284,1.216728431650751,1.3210875544687344,1.654637263294165,1.7138063891312507,1.550171292835553,1.7452906405809019,1.9539388387103735,1.9371192355354412,1.8788921368822729,1.9673478414992596,1.7227479999831188,1.6556048955566836,1.4565596811651333,1.4405148026916514,1.5196265087070513,1.3306189349968816,1.2253114297453565,1.2719556650576942,1.2487012844107177,1.0360858751354673,1.0927241621468464,1.203971253737242,1.0332024112754516,0.9913457355403913,1.0339461362200695,1.0890352947467554,1.0382456615721076,0.9388703373451927,1.001211405259119,1.2043249532177853,1.2265384553952978,1.0089486467333693,0.9842092396080264,0.8590092319518982,1.0387438693185973,0.8889690120116808,0.9149273667281201,1.1553140531287245,0.6171740670540153,0.49381176787695125,0.46403994257370995,0.7120977329400714,0.5399504332235111,0.7123706265424739,1.0260598192593138,1.0792886524571064,0.7020044256790685,0.8865999728643444,0.9185418109420675,0.6401509819577704,0.8864350121463926,0.9543574099777077,0.9553108390243955,0.8128836890444575,1.5554970630919374,2.933814457869957],[1.426108800007369,0.539794539473066,0.5374342266800745,0.3493634669736478,0.43444821135664996,0.4443576558247686,0.3042335175100902,0.32255518935398714,0.2650106456604514,0.2856068606003804,0.326414377355696,0.4508613013995986,0.3512843087132688,0.4051845557436829,0.5512961910480065,0.49850807736290936,0.6193204497000869,0.8211989614434528,0.9902971513668628,0.8918196962793723,1.0919373922230189,1.1028160322662879,1.1881548858411564,1.4705020355427205,1.0132428822573476,1.0515213499031508,0.8973027729010257,0.7652086010314626,0.6623838654385866,0.5138190839487674,0.6849631955076809,0.5331419488129505,0.6663894553420956,0.6655282870847696,0.578704831367149,0.655418696817743,0.5467207157736194,0.6510770261400785,0.6642074576438232,0.6463783140878179,0.9939578785012193,0.8708819923956668,0.8475859818232485,0.8535805436301972,0.9328553375245221,1.2503082914894426,1.129088478530397,1.1885788257643732,2.1263007990436673,1.7593243110791075,1.722835763759019,2.145501020813324,1.8047225216954588,1.5624320302015953,1.4125810857234469,1.0165407293457418,1.1822084720669555,0.9741480080954248,1.1624011130603327,0.899438553385315,1.016416951555736,1.0987600472858723,1.1394969716818868,1.435625983292788,1.1981527482576788,0.9117061651708156,1.2682477645442705,1.001774639057479,1.2527431348487859,1.112683804935806,1.4168820172325636,1.810017776931267,1.3821397194695226,1.443126302939296,1.075783562709447,1.556862722458719,1.0061699941105602,0.8725708486248122,0.7996838910043601,0.8641558486210321,0.7022340434871333,0.7086164532976854,1.1199634730614767,0.6354510011636135,0.6243348217957041,0.5752617156223991,0.642673344473413,0.6458972239269796,0.7661205638837881,0.7372061723745189,0.8319007374693177,0.9487309083567199,0.8605304150073274,0.7312848792530386,0.6422744266545867,0.7735097058535699,0.6579415532360287,0.5691245408764931,0.5419569723803388,0.9300172306094137,0.5489391602554127,0.6650024858674264,0.4685960535299928,0.4949908887873362,0.4934420122499668,0.4138374172963827,0.5931072599814216,0.3988254136918085,0.38121715091649133,0.6878404852691767,0.3352335252760221,0.30746340224780644,0.27838172647008863,0.43744840729386736,0.5327626074184533,0.5699769526190499,0.7612561777660277,0.7586268496617004,0.8868169901947034,0.8938750120790344,0.8500629875125331,0.7618494395119807,0.6782441876341944,0.4527198688937061,0.4043049963314173,0.5323763701352413,0.3386527767036292,0.4053690304738655,0.32509944374174304,0.3713369042767185,0.3535500963233843,0.3443360200623901,0.338848888033832,0.45850458335833927,0.39011177024296706,0.39323674807976516,0.7890138051870627,0.8198220455932407,1.4560609092969063,0.647692626401416,2.3068982324338005,1.9773115935603007,0.9914039731911669,0.9512043334678227,0.7309424858605071,0.6027747675009348,0.5472018334355199,0.44120261266038685,0.33285161660854035,0.3647627159785546,0.4963281104984244,0.7105899754363659,1.034066179835612,1.832457678500705,1.3985657492545314,0.7511853137514,0.4940148130748438,0.5157475606919703,0.3958039043838231,0.41121863673149395,0.4057492171530849,0.5076750526740399,0.47351844457691133,0.5149047564329142,0.6117321006533089,0.6569857030493723,0.5192812917715713,0.692851939751222,0.7787232480663798,0.8145058400917866,0.52424227280076,0.49753178853445607,0.4752320483266822,0.4092864657317911,0.3802538848933518,0.4124963352369816,0.44325625755038767,0.5949323879727711,0.452254529056288,0.46955717097926936,0.400388719274001,0.3710911762179085,0.3936468246402261,0.4058306343861481,0.43404718747109533,0.6319386278266778,0.7480901454534,0.920805905289317,1.7700867535350835,1.1852244264344123,1.4009150275165176,1.4724525279076432,0.8344924553190771,0.6372245534877784,0.5925639560021209,0.520676917284796,0.603550313834025,0.4132045146950223,0.44192414732015883,0.4164574020930163,0.5392558882502987,0.6452909637765954,0.5142836145211531,0.6517786045136539,0.8330735130907385,0.8729297465095048,0.9854996015536057,0.9332684427091541,1.2044154737544022,1.0908591304712334,1.0741820406397893,1.3294729953765916,1.458516281523559,1.3432687464894768,1.3177062600217324,1.3005457684304111,1.3787402975678205,1.1354447210775298,1.0300873536385862,1.2283542860901966,1.1927109794886772,2.039011133687299,1.5318430472331732,2.0880326146323984,1.1632005128877116,1.0795094637929183,0.9887159074173066,0.8993508406276719,0.928582975600413,0.7451167198928379,0.7755175463456209,0.7696407812628283,0.9456612310410222,0.6009202303570582,0.7768253669325047,0.7322140512787748,0.860038930496552,0.940392078111234,0.5594113255953402,0.5266806127095436,0.620021762376602,0.7827677706056277,0.8651072873760174,1.183394483438458,1.0139782329476765,0.8113343323516199,1.093143467143412,1.287721235117297,1.0113857285568393,1.09553289905791,1.4066725602853556,1.4898221267685885,1.3300355089360913,1.4917276576184462,1.6987727849837317,1.722741952418608,1.6412897790582506,1.6999165383088382,1.4667547107817949,1.3774553565526717,1.191578691123197,1.1584209374600114,1.2471159393332616,1.0899438650162108,0.9733138181699357,1.017836893736551,1.0255223422951634,0.8305744332382198,0.8662177466080531,1.0477812971599538,0.8928289318317967,0.8671052200129903,0.8892284629853324,1.0575630803908402,0.9819624837182297,0.9346389654605495,1.0668557818497035,1.2809081425840603,1.1604702221908931,0.9811709026375807,0.8733532726077837,0.7792590539865795,1.0323910351881966,0.9328116338397932,1.0361780487500554,1.3430648360562365,0.7336429146531883,0.5682315655121762,0.4065358756678269,0.6428913011856117,0.5428639363339274,0.56050256665975,0.8557691090158253,0.9886255149331296,0.59828372030421,0.8034312564147238,0.8094063201236611,0.5541473832739874,0.857310274703247,0.9002763437030848,0.8215315502035915,0.807800985317959,1.5222211630033313,2.6412421982986736],[1.4611494395203535,0.5635221312546745,0.5471583443771454,0.38391800654084984,0.45969159491732325,0.47376418319364294,0.34926966577721147,0.3944200928154881,0.34589974300391474,0.3698983098488336,0.40739024441280985,0.5431890128011257,0.44559948077516937,0.4924564436772988,0.6877745447457169,0.6320641222651102,0.7626231646522281,0.9996371347022904,1.1792314338601018,1.0836823749202114,1.3137662421789142,1.2971992139336868,1.426321512291378,1.722397295552463,1.206265112750496,1.2265126060602423,1.0568197805064599,0.9039455234614593,0.83465795072179,0.6755256244384369,0.878107809284014,0.6733480095132661,0.8771402289826211,0.8833601305545414,0.7874754571302162,0.8528440392322195,0.6937147763951774,0.8085805849076805,0.8059262240517068,0.8074010712926905,1.118285557194951,1.04309592791652,1.0397218763469824,1.0345118305049037,1.0772791016534535,1.3739065455928627,1.24613860293978,1.3533271951520853,2.2508001531774604,1.8216853074929338,1.848590084487895,2.241639515196793,1.8481610009467218,1.8177875526628025,1.5608381151856463,1.1627274587012557,1.3511152948092147,1.2336812888390896,1.2689971469368062,1.1156594343866368,1.2303957172363083,1.3375514237227215,1.301173960024684,1.7296554627143,1.4336294261004496,1.1251710165943138,1.4765568413947503,1.2272558553617638,1.443026583370977,1.2935717400708884,1.5510401171649428,1.9767472196022018,1.5639593698084535,1.6514257186646257,1.2946445841315941,1.765677160208529,1.2583245047835565,1.1358184265116693,1.048298261882778,1.1029781695148924,0.9056822537357183,0.8631317041583,1.206536413285646,0.8193129446004006,0.7532085451691564,0.7347087888402296,0.8212382188166916,0.8207391411939831,0.9768584858357996,0.959271040339917,1.0705581266277109,1.1819339209163313,1.0831676165045887,0.9399078637290427,0.8125780595262817,0.9429910019448677,0.7874610348400886,0.7012574180805123,0.6482760714117297,1.0327653206086325,0.6503288165754798,0.7392030364954,0.5630244563805947,0.5808987917357564,0.6008217346014461,0.47591464608719897,0.6413872755531835,0.44763060173824293,0.4455728538016021,0.7253119650479246,0.3875938955868232,0.3921013666058265,0.35989209779140974,0.50525040300208,0.6044169271203389,0.6522190825888489,0.8621583689419066,0.9530822556043047,1.0211150316380129,1.0447225974155425,0.9669110077058054,0.8682124950354754,0.7681892729002623,0.5218655020663865,0.44471965061847263,0.5746334390270993,0.3785952866683035,0.4670209225466315,0.40018436495894927,0.440035586579841,0.4108225728373365,0.39757168842496077,0.4126871667929561,0.5247376417581889,0.4494574679745702,0.45871859588177716,0.799354402089203,0.8418900353354583,1.4220623546198097,0.7170671492256777,2.3686598582161364,1.967360333089075,1.0939855912027325,1.0521637828203076,0.8586423712760288,0.7223328946991374,0.6562049818436562,0.5391067047884651,0.4427675902604422,0.45296010277271054,0.5655849937481178,0.7791812116644565,1.105097832313748,1.8701583909353308,1.4281546836427697,0.8365007159558688,0.5806455102317524,0.6081132166193749,0.5070940401115565,0.4951633607794911,0.47113571408491944,0.613935292064626,0.5767525178313009,0.6421995004730798,0.7497389577994978,0.7914502926204136,0.6409120458003484,0.8175845601368166,0.8107777085672431,0.8704034505357919,0.5827406787008486,0.6047905881283367,0.5737981851303313,0.5031160466933989,0.49802792811553975,0.5202162807443462,0.5580161058755478,0.6865934685061257,0.5766997980293513,0.5816089765910213,0.5090778222460063,0.4368973481656842,0.45895482825100015,0.5123477042102874,0.5515718533586464,0.7219419668731242,0.8511261902559383,1.0209091530452254,1.8360738808992654,1.270688648652157,1.3779084523254637,1.5881150232692023,0.8952550089268545,0.7013771355595537,0.6652093029103672,0.5885276120974733,0.6521608455184685,0.46062178841796014,0.46423746607410393,0.4297222142647225,0.5494307408501855,0.6629167990656667,0.5323026795549057,0.6641895202108894,0.858806463604724,0.9008347702075303,1.0015825289865745,0.9558397832381444,1.2465389451254807,1.1181371922098062,1.1070501732392342,1.3789418101862196,1.5047603274977288,1.3862952936551922,1.371237525362128,1.339181411684289,1.4442490101188379,1.1701161730940322,1.0618667285003058,1.2761587269941206,1.2271662410845854,2.0874145337880354,1.564630487516376,2.155384468459178,1.212022568276094,1.1133936767686088,1.0123295273776163,0.920958874501323,0.9279853686026249,0.758055030762205,0.8098504709505311,0.7931969559332971,0.9481520510734461,0.6064001802072557,0.7972398616027795,0.6878045461179583,0.830050482461649,0.9340805182065126,0.5570110625618626,0.544892826239758,0.6636945278677244,0.8263469213981632,0.9060128185679063,1.231878671863099,1.057258754378092,0.846387166410976,1.1459396635066597,1.3569242760843436,1.0642534664643752,1.139089239358661,1.479732397687221,1.5607386746277079,1.3825204423620494,1.5634678177745454,1.790242904215756,1.7962159939403828,1.7161699056730377,1.7909291698788674,1.5337779590164062,1.4441956697840657,1.2455395453092826,1.2141536439667524,1.306918561202011,1.1310438838899737,1.0071550457716125,1.0508700913584714,1.0513557190859362,0.8408800679233139,0.8783162699689792,1.0560194614531984,0.8944705466449211,0.8563904933824011,0.8823741760643543,1.055602060761037,0.9824375693210282,0.9313178908770329,1.0795460092019036,1.3112346267515689,1.1758222171542447,0.9971776540521192,0.8870314721932915,0.7934335918707515,1.0318969620080785,0.9317469643106152,1.0359272887042097,1.3529740366528054,0.7560588628081452,0.5978552808199347,0.43464912742815875,0.6180061125260846,0.5537164846141958,0.5979133688379947,0.9038655818891561,1.067324487578337,0.6322246457551659,0.8295072453307326,0.8434231457607779,0.5858528563156015,0.885117808096267,0.9439210374018068,0.9103509640793452,0.8102985393183058,1.572013793654721,2.8281300207898328],[1.5653642261119136,0.5595093772731548,0.5341894180573693,0.35966312342559476,0.4627662283226327,0.4994413352028981,0.3566196969723603,0.4177519248789231,0.3531933514448891,0.36090106930931676,0.401397577777678,0.5244559254962275,0.4251796161097093,0.4841767933273611,0.6859914257562082,0.6104453079016573,0.7386326532431131,0.9756481315161053,1.1569946355711553,1.0512287601593568,1.2951724531073805,1.270202674335318,1.4166094096509727,1.6972328090120317,1.1855001352278112,1.2077496166806887,1.0195121404009357,0.8650243509353386,0.7956101516110781,0.6494486769207033,0.8592913052626436,0.6663378625865701,0.8354747078000843,0.8487592431330258,0.7498093626128964,0.8182924287548929,0.6827698862402517,0.7726519811002694,0.7637630922780425,0.7574452861992704,1.0789393864320278,1.0110067157592513,0.999103501514937,1.003871607368516,1.0359770642399044,1.3260988361618495,1.197809011724834,1.3274434621684168,2.2115255717946765,1.8161950927136925,1.8438510976153926,2.2198034144856047,1.8505443910242982,1.7836938029056415,1.575599275254145,1.1378358374537554,1.286726083127083,1.2074127580256029,1.2814726347934888,1.0753089032361167,1.180609849888382,1.3296256523735683,1.3169064575475122,1.7173516850747936,1.40496334659265,1.1115568372873725,1.471014147496308,1.2098258285141648,1.436958554670926,1.2937419788205122,1.5514038884780585,2.0293256074718222,1.6033005473354676,1.6816290316130473,1.300814871919037,1.7985191056056655,1.2527872226982812,1.1243501623222367,1.0176242003343745,1.0593278336146517,0.8735374191362802,0.8239470890162072,1.192252977790688,0.7807455722734502,0.7056394368751235,0.6938557818979982,0.7725953446574791,0.7857739181594791,0.9434043968721527,0.9361820260360155,1.0571897258816383,1.1868480322300117,1.073502028876762,0.9147649615460186,0.8004392384083941,0.9048142747146027,0.775672602711242,0.6880114657731875,0.6528176010912351,1.0679120225510101,0.6734127152534656,0.8052785879959786,0.5959803859158025,0.6482196877291619,0.644445929958676,0.5249573884661957,0.7572019964274442,0.43172651088363745,0.4558331933886365,0.7821422227818667,0.4385496712871081,0.38653573889349835,0.33701329759667165,0.47435152883832665,0.5827153791534934,0.6181495098972476,0.8263181629669575,0.9077620126605839,1.0108000983120038,1.0219292081854556,0.9446335105368848,0.8379530056449638,0.7439285908198313,0.4931555146712816,0.4252335893789996,0.5360345929639311,0.39188595232888146,0.43440457466804383,0.36970239199909943,0.4327116132305154,0.4063000703573201,0.3875600847604638,0.4026460807917984,0.5261673475907712,0.44393015819935194,0.4428840744635498,0.8346987517794213,0.853716340550041,1.4725699704251622,0.6834640956964969,2.3551281875426193,1.9582680870085145,1.0639221656276219,1.0073263257324299,0.8002943878326207,0.6832335408296787,0.6118714506660913,0.5244273654239364,0.42400579557146134,0.4432938170684402,0.5808771633547358,0.775250581873786,1.1726135985925241,1.9099962118212348,1.4092920910698237,0.8738983738447695,0.5979272295308611,0.6327346744750202,0.5143084310782777,0.5339188928419557,0.4658540001016547,0.5862120334905039,0.5295568805895331,0.5873050055648171,0.6700704934911099,0.7215024343777722,0.5765601558480256,0.7411107698680772,0.7849202402331583,0.8439438755467863,0.5596580947987986,0.5451642925509406,0.5265268021367442,0.46757601114920916,0.46327848578300973,0.5205548107850805,0.5479061151332834,0.7333257330517937,0.5500174548776345,0.5742472145020969,0.4708740191116537,0.4571500465552043,0.45903028383362865,0.45808154805273366,0.48107722468300707,0.6682449479942532,0.7947798305728212,0.9658484880648689,1.77787128102952,1.1784886999263073,1.4390179716732128,1.4910145919883597,0.8655827705275078,0.6810303857815989,0.6308532407118741,0.5402474819210888,0.6605983993681089,0.4514225687713628,0.5156706441475706,0.5019222784831978,0.7162306418878027,0.8379000363353807,0.6593500652545433,0.8060737866487792,1.03993054147425,1.0503191216849561,1.1034489829429606,1.1103370538707595,1.4337285622820362,1.2476839506559807,1.2433447974156577,1.5563712338148956,1.6496582358729892,1.482302632485125,1.503641324820098,1.4541762398354967,1.6312053155918356,1.3306535545498457,1.2352556152388066,1.4852029767281032,1.4590976091803263,2.2882864890492423,1.79941855427571,2.347767785741521,1.4277929643268208,1.3491081743088615,1.215687625165378,1.143938210339657,1.1753417668882404,0.9603028924907915,0.9789500215710352,0.9504197141625413,1.0891917763212788,0.7590439836069559,0.8928825126724127,0.7913730584321871,0.9229756610806795,0.9660521737600608,0.6705438326256532,0.6389248701523041,0.7688168078114633,0.9965457513646686,1.0899339269397967,1.4482959204852601,1.2340707967665292,1.0210701924423133,1.3667052421701273,1.553739253513517,1.2360945149444285,1.3395562961106722,1.6999902378186738,1.7602826662715767,1.5699296509788463,1.7915448138510097,2.0193930975043366,1.9790893100749753,1.9271797653110836,2.041797016941626,1.7690310845356094,1.7002240147822136,1.4872288959841717,1.469419946194183,1.5565598256832223,1.3426888340356515,1.233856491419223,1.280310644026374,1.2562948911759846,1.0180611772940615,1.0757832380324586,1.2150105169396423,1.0335832507438094,0.984119713554248,1.0380554031055902,1.1257627636538658,1.0609473407328014,0.9889866607949258,1.080603548131937,1.2589075455282108,1.3006084454930606,1.0563517746334723,0.9956371208979988,0.8705909618928065,1.0698588381395102,0.9587843120202557,1.0366672566621522,1.308338645950983,0.7090463964702948,0.5748281046879857,0.4816505339287901,0.7166060510514315,0.5858113083381744,0.7154262429165961,1.0416723201106215,1.126879204170372,0.7118241231546,0.9164582379985651,0.9770439506294104,0.6481029061720188,0.9111313198104162,1.0000208770495145,0.8821452045064984,0.8928478034839041,1.5241409143225646,2.916459992122618],[1.5471057571534788,0.569026922811938,0.492054407445439,0.32620357435095093,0.43201171082379664,0.42440620026586295,0.28022467514436966,0.32939857896193436,0.25723518841319465,0.29972247351005205,0.33774217867632256,0.44516113916326355,0.37059899817697234,0.45448596025488613,0.6486950104303505,0.5677406250068254,0.691469888483514,0.9075112026441641,1.0678366574546072,0.9693204697994873,1.1877896760957296,1.1834777596826696,1.2983945009492093,1.5676192813424015,1.0706035704140158,1.1096721867390322,0.9476893399558138,0.8112701302025714,0.7271277550217566,0.5866685704402432,0.793679603389751,0.5992393427318903,0.7507118042095012,0.768049632749665,0.666208903517638,0.7422994218607512,0.6087138674255473,0.7072620922008735,0.7014548126989701,0.6768814612490861,1.0242197890806772,0.9193525317873744,0.9016868297712365,0.9001884521459917,0.9581766448330464,1.2776066349839093,1.1554069848026818,1.2450584374819207,2.1683819530387565,1.8156687458990353,1.780635045494566,2.1858753878335895,1.8368832168327764,1.60950708298952,1.4598028020412908,1.0539854258932109,1.2061884517473702,1.051399050864222,1.2043964389533353,0.9587952819602459,1.0856456749271681,1.2032359778700379,1.229968574450816,1.5654445602098435,1.293874759208072,1.000400137778988,1.373691656006469,1.1193322742456349,1.3557155558654708,1.226755134655905,1.5099725942998052,1.9299339241023612,1.5167710898898106,1.5677272162459264,1.209578297410629,1.6812834621223713,1.134771431229758,1.0075614260140675,0.9111270448019703,0.9529692609740373,0.7758045325138375,0.7539141877962189,1.135354633880515,0.6917342071768162,0.6395278191781372,0.6214291762915861,0.7022576311431505,0.7058048731846771,0.8523959012743786,0.8346708992117771,0.9588172198584554,1.0831882795834844,0.9856548243210238,0.8418540892169972,0.7435364486168918,0.868232715547524,0.7564924379060787,0.6265037166410546,0.5747228389767643,0.9424543646603928,0.585922011513206,0.713911939271703,0.5068306973880575,0.5354394012700049,0.5335337775857321,0.44849506316444393,0.672324875506392,0.3798214467126543,0.39142813438057583,0.7103831323243591,0.36322336402688105,0.32004800214064105,0.27492614963743506,0.44565975153004694,0.5606448169398005,0.5940974087095328,0.7985940246603679,0.7905236735688709,0.9356400715398484,0.9657850355819039,0.9056467708526984,0.8053001988964177,0.7073960139862444,0.46767072372629154,0.4139231219940178,0.5343656357262982,0.3343158166808167,0.3899799442626239,0.3069429416055939,0.37919366723370757,0.3569969106797272,0.3480852932979318,0.34686609969304744,0.4639475828714812,0.4114575277108401,0.41076531949538864,0.8130503082966897,0.8427142816369406,1.4731792389467557,0.6847987042234275,2.326455857740775,2.0425604049041732,1.0252240137716222,0.9702682136298858,0.7560393984663573,0.6410014412182249,0.5775053142215998,0.4796898999619287,0.35398394113430026,0.3754618349699669,0.4996053417074341,0.7014660582527661,1.0982793205886259,1.856749943939114,1.3464426004095316,0.773149647905096,0.5046973045010487,0.5378141493843723,0.42688939764847106,0.44390998181720837,0.4097317964982169,0.5199576903837455,0.49261040953860014,0.536181439481206,0.6134460410909712,0.6697569269105463,0.5306431841696586,0.6914902331503939,0.7935139066155525,0.811916817950746,0.5404505715807528,0.5120619237536971,0.48560438495920843,0.41910869212439056,0.39988663880352004,0.4360748323674668,0.4654429514828652,0.6163299707536101,0.47351705941986993,0.47089944126300215,0.4101990180694212,0.3867069259420597,0.402892037969935,0.40303823890943336,0.4376635097487817,0.634110762871332,0.7590356981600191,0.9235308990201088,1.7803060942731306,1.182783720885992,1.4177784319325446,1.4287192647976334,0.840692054571525,0.655927604664065,0.5827361019828007,0.4982975866264713,0.6203157701699727,0.4161289112602311,0.47665337703670957,0.4541705203861637,0.6616423689039248,0.768227541446117,0.5922779805306054,0.759980022719262,0.9763563392813106,0.980456804960762,1.0703147813932725,1.070888230827789,1.366921113213441,1.1989684506868865,1.203218768198387,1.5081648320483054,1.5976779312518736,1.4347888313423973,1.4724799469297185,1.4328542387763348,1.5797400242850217,1.3188213646537594,1.2090677947248867,1.4451226882906272,1.4256971724761933,2.2119637956731997,1.7661057518367242,2.2887415455864706,1.3726292220824177,1.2859002548682748,1.1518341529544311,1.0740054137199229,1.1341817898372342,0.915286370181894,0.9188602482308232,0.9118284848534417,1.0755755214387381,0.7196790986570364,0.8079072000409867,0.8215953788030441,0.9304776697572552,0.9353469559675949,0.6385254657003261,0.592703221933375,0.7103926455079453,0.914516468396417,1.0003159760115377,1.368603377549796,1.1327096866994601,0.9319926146741684,1.2634238686468218,1.43783398036156,1.1384993714669671,1.2374970899946856,1.578194597940781,1.6395034193497489,1.4743767051698062,1.6888067134649472,1.9046301917159119,1.8863981015256424,1.8452332505296236,1.9465254734878512,1.6971535827010866,1.614999864063691,1.397395071898984,1.3833832754325084,1.4893667948779055,1.2842220800704036,1.1729480956769813,1.2346138204967525,1.2219879859513607,0.9896564187474074,1.0524877823323164,1.2054394481318103,1.0271319185889822,0.9919876963394517,1.0420993723269334,1.145703864878295,1.0763724568673256,0.9906180923318818,1.070959066781271,1.2303161528622744,1.3033104303750458,1.048327961465268,0.9769646319063428,0.8428195623669298,1.0513535299581511,0.9464314903673816,1.033665165427082,1.3046071720423666,0.6848032714451421,0.5489958348573694,0.435851533243726,0.7004741785157975,0.5245890127857159,0.6203489833080297,0.94224542547813,1.01048859924547,0.6232633033709385,0.8458979171546751,0.897528475907884,0.579744235456592,0.8355765875424592,0.9306687872830849,0.7161030946707194,0.9093395696342301,1.5099322324761562,2.7691447378898166],[1.6098630289310076,0.549133627526027,0.502502463876131,0.34343141698568463,0.4349043422996178,0.44151374775761676,0.2758356979163443,0.3383748134022545,0.2705904782703413,0.31453188543917254,0.37910021516285347,0.4271733582586447,0.3800836974198833,0.4658938810531909,0.6840104514350457,0.5838022176637448,0.6553742397993536,0.8670471170342958,0.980458112358038,0.8871046440363155,1.07333811745119,1.0829502873323862,1.1569804402465131,1.3799933544255918,0.9403824940208049,0.9944083751497933,0.8434021511352555,0.7381390367848819,0.6701440499949174,0.5607993617749067,0.7973789910473343,0.6194222020298817,0.7473690230799567,0.7765814396708582,0.6588144082622347,0.7133579780634365,0.5860223470965298,0.645226413797115,0.612742558637599,0.5761722296502781,0.9230238758713514,0.8061832271098577,0.7792084784061115,0.8087099268664234,0.8312959889959395,1.1902001631774315,1.0278889251611891,1.1902373214003734,2.1390984308117083,1.8718987667152545,1.7835414625020956,2.16444247529489,1.8568510126497721,1.4626360465164099,1.41374266937764,1.0419383647600557,1.116460025687003,0.9423402224296232,1.2064928897521325,0.8757307334657186,0.9715149982161587,1.1106965402508724,1.226023903281309,1.4426841693745793,1.152158031676611,0.89845620561584,1.2848000849362116,1.061346487475284,1.283848807980611,1.2074307563833162,1.494246999375784,1.9217557246770076,1.5072865616048223,1.503812220052038,1.1864575940315631,1.6471979598441155,1.0799680801798912,0.9801424284955181,0.8716592607672241,0.8989136525023264,0.7250279748156374,0.6998703953803557,1.1129797348537698,0.6576670134639107,0.5626292597239332,0.5751755849916298,0.6433103150416221,0.6704663053873988,0.7996097275142131,0.830713157201099,0.9448740547442018,1.0777349806020362,1.0029988396424507,0.8705044508984091,0.7798882663979467,0.9111773245420434,0.8208529192876792,0.6675286214786218,0.5901598704213922,0.884668878666006,0.5853140316472638,0.7059930504415068,0.5234817813957604,0.5677371679845611,0.5833736529039606,0.48670718967202986,0.7490426083276756,0.3939355216276294,0.42577422634135526,0.7522660557248626,0.4146383753438599,0.3203061767729384,0.26689613378569227,0.4043474829496064,0.5190796135725072,0.5262014601924753,0.7405251279711701,0.6511962559225161,0.8408273720348222,0.8991154695152427,0.8339559289548906,0.747538416766489,0.6325448024802787,0.41898187517125635,0.3824395985833964,0.4680216269464828,0.34647637188176106,0.36985268311331,0.33467490859212357,0.4306162312885914,0.38273736738307623,0.38178259530667397,0.3744253609509015,0.5066679054208449,0.43101784774364665,0.4089238056956202,0.9080021983531104,0.8708264925316885,1.550419488425708,0.655081894766611,2.258378743949385,1.9439808019471896,0.9265023974453117,0.8666271527951278,0.6469596319708011,0.5644169759887633,0.5015686028783243,0.44228757006698943,0.33837453458591765,0.3665928661087962,0.49581414145505437,0.6543702288548127,1.0887177361858542,1.820283607430409,1.2645798736428544,0.7350773776881337,0.48270590523585116,0.5284000343392001,0.4159334302468294,0.46453754177862755,0.3815866667028491,0.4617479577303741,0.422308337685901,0.44918013445232785,0.5008708087798535,0.5698474981536478,0.4668138498035825,0.6139298961643335,0.8168296952173991,0.8214578463387131,0.5448348736340345,0.4417372672981278,0.4205956902643643,0.3759899025984114,0.3658847014388527,0.4368073166012854,0.44790602799732826,0.6347281315681004,0.45643456041883035,0.46290225799592183,0.378790188340681,0.40982364258615733,0.4181182581775138,0.38405676669629163,0.3917366938244495,0.5785426363166125,0.6741890084779654,0.8236325017736332,1.656540831308689,1.0310625219839982,1.4818897272695544,1.2594485411173313,0.7878155936999336,0.6273235125275107,0.5433594949566204,0.4809055057866547,0.6655857979165215,0.4662664266948493,0.5614646905297564,0.5313725487769034,0.8078969447694837,0.900534187806871,0.7013001769093072,0.8930633004055639,1.1146409255370922,1.0952398235201835,1.1664567255929965,1.1991433406539438,1.4871617946687659,1.2996969468487418,1.313541443519035,1.625867409528259,1.6899941474226183,1.5269052131103422,1.56796449991526,1.5232776805085544,1.7094059195320483,1.4482647630754804,1.348538136414111,1.5897790089320223,1.5756537131457948,2.338069356767804,1.926374755273731,2.4293049924001253,1.5282843701380926,1.4354692236078397,1.2851371640372506,1.222871494565667,1.2940709450218906,1.0738669320033514,1.0743853380587713,1.0699690361859684,1.2064719291168382,0.8753655364365083,0.9157824425293698,0.9398372987697209,1.035597231371533,0.9703701463650738,0.7577644226075165,0.7034305509159231,0.8307632675509691,1.0489508651856283,1.1120360406558392,1.490037508630318,1.217731602126149,1.037015090476572,1.3793770956843665,1.5131036189253448,1.2251295713560895,1.3498177837817813,1.6688131112557492,1.7132890771772205,1.5713094157510004,1.7934098650263142,1.9879126873821438,1.9639291996449177,1.9512702992645072,2.057013557631943,1.8232776274708953,1.7481210830249898,1.533129134383037,1.5321345649650355,1.6339772066484888,1.4249583763051532,1.325200000764877,1.392504756210718,1.3714115646339333,1.137136007877522,1.2113881987617918,1.3498872374563602,1.1577582538795017,1.1112148831466433,1.1730064979420733,1.2150434820787228,1.1615044390709854,1.0478019036050874,1.0863784333558446,1.1960638612610939,1.3821290454587387,1.0838013147057952,1.069596810797633,0.9092661527558236,1.052100071252806,0.9255462855728461,0.9693368017837115,1.1925550536132408,0.6655433930944844,0.5065163609858018,0.507049227099146,0.7839972344682066,0.54671707540881,0.6885221520719357,1.0141219740241754,1.0359613950476114,0.6707187678447887,0.8954034933140161,0.9508248163356086,0.619082564740565,0.8536887135294565,0.94458169074994,0.6945078784194895,1.0283661550969077,1.5813778893418668,2.7888340469299235],[1.5095495363504714,0.6446427150804451,0.5511649844283766,0.3821220103192859,0.4884870769998584,0.41467029125497845,0.2941837391413631,0.31625566980995573,0.28313691919911577,0.33427296482481406,0.36841852451702717,0.44563868472749474,0.37902473310568074,0.43983238444780887,0.5702131935983876,0.511958227819613,0.61392843024777,0.7871632238669549,0.9210232082369467,0.8383017530395109,1.0119845200637538,1.0470581069336107,1.1210290935826213,1.3927778131430648,0.9371018801075617,0.9764442542814008,0.8333976436586163,0.7263539924201503,0.6317881066669794,0.5138775653020232,0.6934567510959995,0.5478265615037954,0.6720131485839546,0.6713542351454317,0.5838454485420677,0.643947767926735,0.5323836951523335,0.6211320098895802,0.6206553780453561,0.5950689302911555,0.9563212677808457,0.80575727886579,0.7838903788718669,0.7815621257108519,0.8683848740727832,1.2089401743966086,1.0890118735869094,1.13669528417176,2.091785047900448,1.7859676406584033,1.6980798943894229,2.134999165792995,1.8108334308290595,1.4200563264665387,1.3560765620619053,1.0115162329046745,1.1333767530118537,0.8738325408594112,1.1746045519522967,0.8584308581986696,0.9424624155456393,1.0292383779396799,1.100136296225506,1.3613576740624154,1.1462115940342728,0.8420754219854164,1.2103762695438336,0.9574155379447604,1.1932973375033602,1.0747719749481215,1.3734292896108016,1.7332587094497809,1.3410316135808436,1.3938814311629293,1.0497292753434777,1.5369459061288309,0.9640364466186131,0.8569749530173763,0.7733477614012353,0.8235907655331629,0.667862584153695,0.6742327119207115,1.082962908148412,0.607607618101389,0.5888517534330653,0.552283973719609,0.6139747041447831,0.6120040608897147,0.7342654348638996,0.7305891261026337,0.8212173176314879,0.963928796412622,0.8737699585618987,0.7435438829863936,0.6644226370227132,0.8038890700451242,0.6997486184373488,0.5883163431032237,0.5403271926405535,0.8737567944735789,0.5374483120012142,0.6331532193910976,0.4526391238561599,0.5012742746289793,0.5050225300559135,0.4376035199724293,0.6517670990675171,0.41544565018123514,0.42351640054071593,0.6918650981713103,0.3567469427007672,0.3358284939924895,0.2998308129841031,0.4670652109588179,0.5542830790229044,0.5754049688394202,0.7468570104055264,0.6955116337587472,0.8383645903116651,0.8565317154771611,0.818129372939157,0.7328379826519981,0.6641299295876857,0.46845769682034516,0.46485314966830704,0.5824290704311524,0.3616018472520152,0.42347759729574824,0.34600911484334945,0.42002349542373646,0.3844404707814827,0.3948388827500425,0.36473515854737415,0.4805760635703834,0.4118703924475289,0.41674183539833964,0.8072175798732568,0.8591476774469666,1.465090744228756,0.7062327974305135,2.2807562579074205,2.1548217578744886,1.0028166331449282,0.9259975519880974,0.6957641368717311,0.5870766721289017,0.5441099224650257,0.46691661649728405,0.33944795829312846,0.36344943605897895,0.4717884152672309,0.6597470180101218,1.036144308654267,1.8150231223850017,1.313123011573696,0.7080589663664696,0.4628422990048322,0.4932746195534799,0.3930062180346965,0.4042255207773081,0.4027191103195359,0.4881766958936542,0.4777834028003314,0.49976299900277554,0.5774990617539785,0.6617712329315757,0.5331386881990352,0.7221563687878937,0.8720648445626474,0.8464039455165969,0.5635813085685357,0.5065806581887149,0.4689145517144267,0.41420995139809025,0.38423530486418384,0.4259603827190937,0.44788107648173714,0.6002163907131731,0.4541416665093823,0.44930832066448223,0.400071820727773,0.3776849702219636,0.4092644368919784,0.4227673351394581,0.4496462070231743,0.6109388122877523,0.7063478418357567,0.8642404999930932,1.7528778601522252,1.178324324431341,1.377800485890423,1.382756230901834,0.855503924404226,0.6744541952055018,0.6049840121300863,0.5419061257540387,0.6336595060657034,0.4416315117713879,0.47102487454307623,0.45780075194435427,0.5996189901254023,0.6870032928419518,0.5371535843667623,0.6836292123531126,0.8713562001696094,0.8789395923118193,0.9890414592093862,0.9777428191106151,1.2387933431106304,1.1051078371793406,1.110113056935231,1.3857555356663225,1.4815964094164562,1.3209547760134532,1.3729626224366005,1.3421894933861669,1.4544501742256024,1.23206033782628,1.1062249514402636,1.3204094801875985,1.3137334891410144,2.0510912532019705,1.6650285390287145,2.1660450479193427,1.2466152504770256,1.1584450419389716,1.0544719903899475,0.9606144413273258,1.0327500878462614,0.8328453417269466,0.8482658163050044,0.8684613455679112,1.0496403905161211,0.6893844963941196,0.7711943634557399,0.8291399167898249,0.9029890922767626,0.9613701579836296,0.612596950756749,0.5653118428466678,0.649655089818758,0.8227880885201246,0.8886455032394123,1.2241371537030628,0.9970368721287399,0.8277404150252837,1.1143710244987395,1.246419578477983,1.002863786214257,1.1002153402803991,1.404142031215829,1.4700117437497633,1.3236521154759993,1.5141492413126727,1.7121584747714487,1.7197134527085176,1.677349265223959,1.7574029948059549,1.536906012212795,1.4457640424678357,1.2367456663241172,1.2247436430392957,1.3358655728039588,1.1552321514396928,1.0441444534804618,1.1093533989342046,1.1068617348602567,0.9052766243403113,0.9695265220372771,1.1582942269123675,0.9728900483294938,0.9444550978052791,0.9804175951105367,1.105374289753065,1.0320168860616785,0.9749055745612485,1.0602645697094875,1.2217941176794191,1.2804313950182986,1.0065679279393327,0.911180801291927,0.7857148925176526,1.0175969509584304,0.9581689345492473,1.07080319007021,1.3564343818947557,0.7229744742066678,0.5961079258878452,0.4365308606265428,0.6985889981361615,0.5303212442185836,0.5403729959636153,0.8205881277956697,0.9308179500228885,0.5596453381362366,0.778180025185529,0.8130148380450924,0.5511979480353533,0.779741543470809,0.8839794282287273,0.6165662151090521,0.9707214530468246,1.5580383961879625,2.5084201796689336],[1.6642944244643376,0.5943115642637671,0.5313462595784146,0.5018338179763084,0.4527683249996034,0.5100393464600783,0.38983470889262434,0.4124078682138097,0.350295415393403,0.36501442598445427,0.4183085434860479,0.45544066706405006,0.40251924933312044,0.43219876934385465,0.597301841137382,0.5180891095507504,0.5406223848287334,0.7029456056833137,0.7731558731108708,0.6975938299247859,0.829607247888954,0.8773630022500857,0.9023614117478881,1.1028172275049744,0.7700387250803832,0.7966631092247405,0.6673903592685663,0.5806059336264018,0.5159224647404176,0.48042976911448976,0.6767625126425898,0.5677982832160395,0.6748362812589911,0.6824934281034073,0.5719850280790201,0.5894943579229169,0.5218007469607653,0.5225845259671098,0.5075075405813043,0.46883122507088465,0.8405041553763487,0.657323110835891,0.617335151804761,0.6730798765037049,0.7935593492408536,1.1207921814268407,0.9983632653806807,1.0081930882394194,1.9734385131648156,1.799539727539067,1.6097290011061425,2.032461403041051,1.7439750813358421,1.2184748699301386,1.2477925246908501,0.9667429470985588,1.02661758208012,0.7125983108560087,1.2035199055728862,0.7892839222022028,0.8424951645523515,0.9512972440862365,1.175820751187638,1.2131731394925982,0.9334600982496533,0.7238803472709422,1.0687653998537923,0.8675830180338129,1.07292170995136,1.0255989903842995,1.3344020928339697,1.7138612526850312,1.321248934641964,1.2985596002964028,1.0146764580426906,1.500603037071749,0.8891746529860984,0.8268627479061108,0.7165947014210509,0.7305496191364284,0.6042194673597306,0.5970986985237782,1.0045352217693138,0.562377456831202,0.50096119160509,0.4977758166011216,0.5307446466607065,0.6125078531823144,0.6447948525403021,0.7244641480511471,0.798497725746842,0.9355211328613516,0.881182454874511,0.773925989649365,0.6931240555663382,0.8353558472137813,0.7633639904850188,0.6202367313235463,0.5729125856855412,0.8393256762966285,0.5565593883279756,0.7013540271139055,0.514588199180061,0.6128923130657212,0.6301342142522546,0.5741874391679709,0.8209233663270737,0.5282893960602114,0.5558848229746184,0.8176927480708857,0.549042714189534,0.4373231966692637,0.3744789768967884,0.40515341094932456,0.44380902667742456,0.46231765964434124,0.6169104758638808,0.7005024725114443,0.6929961974330212,0.7162865309426498,0.6612825206267501,0.6058388548487915,0.5291156376657749,0.40614513490800797,0.4010408183503001,0.4545507397677242,0.485752552742527,0.4510437135629366,0.5169632946177238,0.5924372965175699,0.5315172472311703,0.5349659157091867,0.525387593320689,0.6437720760975308,0.5920303533262783,0.5396275746994678,1.0840929713190268,0.8275140429390158,1.555751007893658,0.5587979955809955,2.002763213412448,1.8904491963650745,0.8196044536591192,0.6929472868923654,0.503386421351468,0.4647027161251387,0.4293816233202419,0.41199747908550993,0.37478456457391535,0.42383022250107516,0.5628180170667039,0.6349608661867481,1.037103182208647,1.7452236365618494,1.1922614935549487,0.7046223009397439,0.4830645167066767,0.5635874164095275,0.4297731361211491,0.5360411439725988,0.43384519450245035,0.4208160353241138,0.4308771803362414,0.4168698231294043,0.4897655831280871,0.5414304495882326,0.5493738155892006,0.6949348610247464,0.9979823419275388,0.9110699609897334,0.6977658631598204,0.4821180542923875,0.47234691627906067,0.4335047450294905,0.40190332630350867,0.4740283830625764,0.4719191573264301,0.6788060439992564,0.47069788648888394,0.5000710819949626,0.4492334530807803,0.5178856507083761,0.531145913209901,0.47460145967078393,0.45627173758806455,0.5629989666953287,0.6331541610305302,0.7558233139530416,1.6391925369197597,0.9956271929502665,1.5034649925716796,1.1873671481619041,0.8525638179356857,0.7042796029982481,0.589125223967196,0.5860305735718909,0.8027090394011233,0.63884406116064,0.7284367293432213,0.6784242724301505,0.9533984727206385,1.0092855977822695,0.8226708817552879,1.0305119030795196,1.2166432678699364,1.1706969313033473,1.2999317438539453,1.3193165272470406,1.537177368345962,1.3691328886449239,1.4019898183382735,1.681177326203717,1.716311605930286,1.5531553256407455,1.6253651154868074,1.6221825679013706,1.7707607020069942,1.6078358715917884,1.4676358143864445,1.6900122058710587,1.7026891652518008,2.3290156590561395,2.0613935132871077,2.4825814399936563,1.6359411755979463,1.5447943641802913,1.3870243511739986,1.3274644526735127,1.4504088514393232,1.237020677857987,1.2055228117145147,1.2417546372711292,1.3823237250840408,1.0516880559367603,1.056659732471264,1.1810419069161073,1.2322104764775286,1.1065821446356756,0.9358810098593726,0.8507673967199877,0.9526807945310373,1.1368003085244291,1.160617561874364,1.5343816491269904,1.2228139864108283,1.0979856696421904,1.4108341989215267,1.4821740375688748,1.24550595227927,1.3792572519753983,1.638743854334613,1.6599712299299252,1.5535805330958412,1.7758010346810458,1.934192973000628,1.9106824752096483,1.945283589876614,2.04332240645759,1.86054264365248,1.7755727059703261,1.5699368673285503,1.5888993309101036,1.7042177858894607,1.5100538363750762,1.425037876193139,1.5080874641493085,1.487004553966538,1.2928808009162305,1.3725182434353829,1.4899057360376617,1.322727979575715,1.3017637293504492,1.3526152092170867,1.351806156439743,1.3237446247368967,1.2067282617890016,1.219161266411696,1.2547896979129811,1.5681443463526064,1.1950690546335851,1.222244547761355,1.0216901284874247,1.0798701157385828,0.9391320298605356,0.9762926705334484,1.0982531392364319,0.7501303373715212,0.543741199871336,0.6534644897336677,0.9990741679593454,0.6717146002917539,0.7514731998996186,1.0212553086670073,0.9991850122918057,0.7291758752290617,0.9430218226342223,0.9977430168458307,0.6941089412752319,0.8722158906129168,1.0334944308394665,0.6574922595367262,1.290603950304222,1.9911314451683015,2.710565043762539],[1.560899016235683,0.5717405386323824,0.521214048025359,0.41328318462844515,0.49019117920276434,0.4376096485509262,0.28420616008217475,0.3519332793252796,0.3447950386476521,0.367381529637609,0.4658600826489207,0.5322147410198599,0.43013051644219213,0.4560728121183987,0.640823773467538,0.5686048920447399,0.5435659534135702,0.715264779501027,0.7556186822952932,0.6886060284937363,0.7968340653956127,0.8771619835863436,0.879970625031939,1.0469055370673446,0.7235870290682065,0.746486119137763,0.6192272339562763,0.563219985560063,0.5336589078241963,0.4815098199597867,0.7176007092753238,0.6092736319177292,0.7074660418604511,0.7361877719995216,0.594271381204394,0.6031411277947976,0.5024097129210119,0.5091892773379257,0.4736715576715106,0.4455244553727112,0.8067443800328771,0.6366040341078008,0.5943875824855112,0.6497470302714512,0.7490239850613996,1.1208008453198857,1.0008139447931657,1.0150876670207618,1.9937193972540876,1.8824091321199046,1.65992475327398,2.0604925820681763,1.8141497895784537,1.1628321123948022,1.29090038851054,1.0194530216234179,1.027602217935755,0.7136871369331782,1.2492684019079359,0.7740509641320003,0.7902565841854753,0.8618654568423504,1.0819202937698447,1.1477631094499605,0.9200346027745441,0.662162211947303,1.0663556948948345,0.8763988634153309,1.060974742833391,1.0333758629863161,1.3293828399296184,1.6788593755743266,1.3133646332276387,1.2882959518640589,1.0273182783423145,1.4720957447429732,0.8906389360851393,0.8439063037968126,0.7282703026124323,0.7428583714157049,0.5959390117285623,0.5885108037551224,1.0294403960232974,0.5751372269060504,0.47204185885404015,0.48347732439599633,0.5082401325949407,0.5818560058038397,0.6566397079823908,0.7433462191023797,0.8289470577289404,0.9633704206316417,0.9261850468955082,0.8388030886680741,0.759734338556722,0.900048443332674,0.8509843186141064,0.6910505540697685,0.62816631660234,0.807488698557017,0.5655761650271085,0.662595931241803,0.4901269480710656,0.5503358467829629,0.5668825184747359,0.488042867792572,0.7867934899434058,0.45042622962153367,0.4857362563642168,0.7464975928055365,0.433351383590636,0.34697327806080536,0.3130687294905105,0.3782157060777803,0.4473028116609942,0.4284785294743402,0.6148160884685759,0.722295142907232,0.6550876415877758,0.7189422808653032,0.6570410926668735,0.588257205529763,0.4827353317350632,0.3644483935007304,0.3560629241947272,0.415084653538896,0.3828096662056585,0.3923051455618021,0.4604149507705283,0.5258215622105619,0.49673963382400943,0.488226369865312,0.48583670520198025,0.5852747530161132,0.5517736927635456,0.49675584297667735,1.0557224630383122,0.884628274591543,1.5810442210750226,0.6427264254379774,2.000450506436563,1.9736914382500734,0.8239603819727381,0.6979465520480113,0.4906957410786639,0.4570437256803515,0.41652288385965486,0.3984857268033634,0.33011011906256194,0.3958503247821651,0.4774494702986222,0.5724721310890253,1.0029495791091094,1.5611702309623525,1.0373785664793256,0.6259324412487627,0.46795041782881247,0.48369711079489,0.4051063704454654,0.4567638224460155,0.35891251532899615,0.3902962049760284,0.4022899736376567,0.3798555097680223,0.4800938877048505,0.5904142244696592,0.5785200322152161,0.7593046825952997,1.0507160490549552,0.9328006404269518,0.719156829128432,0.5032689960978719,0.4544522701006701,0.3817844772197457,0.3524486214727873,0.42816880533930834,0.4597447296570926,0.6457783812031173,0.4412534290780171,0.4423659000128766,0.3904682118090871,0.4382803746015402,0.47604191055486084,0.4455725384728633,0.4290335404748473,0.5401615545859789,0.6105297214625334,0.7294952141093132,1.6130400843312955,0.9643650830802336,1.5052235868177377,1.0447075867562383,0.789102244903396,0.6722548579571779,0.5971785503983184,0.5951929654322965,0.7829480024475236,0.6340998199788533,0.7203381532076958,0.6378737603310527,0.9327257482108663,0.9599355325229862,0.7665678025154395,1.0133846726365598,1.1831708369086644,1.111337704662036,1.2651433708752768,1.3106215991349333,1.4876187623778685,1.3344711241102838,1.407433701457712,1.6809668947662801,1.675493436026358,1.5406276170964552,1.6685968295221931,1.6612637657516096,1.7964743251240813,1.6808176942973136,1.5166976004368686,1.7212072283699156,1.7486825039810872,2.3158771698199705,2.105038409487777,2.4849776541869635,1.6312303015502903,1.520141917285036,1.3478838790132315,1.3152109971084365,1.4438624436632321,1.230359599756752,1.2034310945450433,1.2708391224500373,1.4149690295802855,1.077751740546368,1.05158693031751,1.2310090088336914,1.2523326610501395,1.0834857608195911,0.9316098385867764,0.8382906964932638,0.9356662184395453,1.1123629635808512,1.114105781713296,1.467345104823517,1.1208666642658263,1.021848627802961,1.3146566081895763,1.3316192387690533,1.1158731182450479,1.2859354766392777,1.512874611378779,1.520935869125906,1.4537053756699339,1.6892493491938032,1.813594527363563,1.8016596008793233,1.876719903014943,1.9749895791332235,1.8222209959004967,1.729844986759138,1.5208904491950688,1.5568794548408478,1.6913814031191385,1.4986319162464252,1.4158610552601716,1.5244202783370338,1.5161982883590954,1.3118476489338708,1.4138583951177774,1.5659684392654338,1.3897307163890544,1.350199876440924,1.4221971518792766,1.432521223462788,1.3984047660674943,1.2712559037916797,1.3006803925250356,1.3070222885583163,1.646163962328994,1.2596630854606765,1.2657841239959176,1.043734894705126,1.1145114857314522,0.9897206331015891,1.0301002490727142,1.117230365061812,0.8010680122509999,0.5205967467309955,0.6149395678036734,0.928284474414313,0.5758653929711741,0.6307983619369718,0.9034486434720947,0.9023007332451597,0.597424767378578,0.8384180254878373,0.8505393849531498,0.5709864903347668,0.7611246697786356,0.8614974293710869,0.7390243959489767,1.6084443486343796,2.481745822440364,2.744153106311616],[1.4394554317394332,0.7548205142932317,0.7061829644005815,0.46852768975953585,0.5526346050837875,0.502284896715634,0.3610547674396144,0.40623850580048876,0.3718635956228962,0.3618549259373556,0.4472265903494719,0.5163840019897453,0.4088075815959274,0.4480323629154161,0.6067771662659325,0.5377031638890793,0.5159949551290122,0.6804079924843283,0.7349883668271281,0.664615292647109,0.7863374444282976,0.8585318628036964,0.8806409733380479,1.046051451795159,0.7178771205728505,0.7275490176652867,0.5979163383578883,0.5248188625198363,0.510843539342261,0.4687718517196942,0.7050827598111147,0.5942521196948342,0.6949928328858334,0.7202600542691948,0.5797790166493602,0.5817219985831629,0.48039980131140847,0.49393601905710477,0.4655783323706582,0.4528693482456004,0.8005181197308443,0.6190223696891202,0.5838851357647838,0.5994925979981233,0.8176791204176829,1.112688078509324,1.0681941501453367,0.9635933612791576,1.875881398258711,1.7676146870061542,1.5742873275316203,2.026121833968397,1.7977941705537193,1.1675924686038548,1.2698816541509048,1.0090643185478623,1.1063793554554697,0.6928573024291004,1.206676956154624,0.8014240822806746,0.8341573204681906,0.8759664264970395,1.0474449713190155,1.171722930597551,0.9526950675958366,0.6623993815887288,1.0554464618567012,0.8582503363796038,1.047514724004451,1.0100867773730051,1.2873729651677248,1.6582902265077815,1.3072826592171134,1.3027540293027329,1.0251569040804482,1.5101161601481108,0.8863719211070813,0.8482640990558277,0.7187355814680063,0.7155581301608006,0.573833833536132,0.5731960661899922,1.0089557133005858,0.5725616065704137,0.49226835078968084,0.46448061206062186,0.4906487348988025,0.5739904561016373,0.6435677665974756,0.7246872607011573,0.8203023907405544,0.9835297804029652,0.9382258805092792,0.8331875176386702,0.7462133422502488,0.9029009710606161,0.8331863289041158,0.6747101775704573,0.6138404939213654,0.8232678438762469,0.5634555904882241,0.6809403708250226,0.503496067842559,0.5959922221217518,0.6095250585479897,0.5602391069257744,0.856488390943959,0.555809726184117,0.5935263634206099,0.8169548302932594,0.5275447597219944,0.42170232683346687,0.37051459801794145,0.3980413794792323,0.43549324776623355,0.3935375121055783,0.5682824324916292,0.7427740700077132,0.6693546649672931,0.6990062933188581,0.6474740398142371,0.5585368162779526,0.49071893890081386,0.3544390693963631,0.3748776591315092,0.44397250490438944,0.4828305311916326,0.47182528214954605,0.5851806592763383,0.6072965457967722,0.5990882300926711,0.6064644827819019,0.5886589037721998,0.6536734372352289,0.6394181206420433,0.571322217241342,1.1225733776935807,0.8883760485257279,1.5940676688019064,0.6184205373618225,1.8516998007816914,2.019312784601612,0.8109912177936697,0.6494499100075479,0.4627409846739122,0.4329071046053486,0.3946990247517821,0.40128695874803716,0.3722522308057218,0.43670929820600723,0.5244193738778882,0.5915698557479175,1.0060604419013335,1.5330621390271177,1.033395484480802,0.6404930549252618,0.4766891923706515,0.5168687067902985,0.41871760719565043,0.49620335927424775,0.405212326731667,0.3934801003599704,0.4530126830949918,0.4292386523804303,0.5487116986713276,0.6931479544225194,0.6930790341645707,0.9061544115274377,1.1867110701041794,1.0316088921876012,0.8289302786224124,0.5932387225814926,0.527681252057254,0.44875580169895923,0.39477456805745725,0.4570126021412602,0.4746953150537121,0.6439188117447815,0.46023793591180134,0.46937041538626884,0.4490026035385558,0.5000501164884921,0.5426224955082641,0.5245722203547178,0.5072412661753665,0.588171889543819,0.6468412597586602,0.7985642807580837,1.6855255428967595,1.0330638028141068,1.5120831894269537,1.0963490245646017,0.8688834059909722,0.7661322846534127,0.6870873388776308,0.6802545288010828,0.8124715493446706,0.7683187735592677,0.8596797269756089,0.7739360127142406,1.0757605998451243,1.0781861495091485,0.8846276262553088,1.1515599105279664,1.3037147970125356,1.197031543590827,1.3695835169105104,1.4376430011014618,1.572508987793209,1.4105372067360271,1.5225568849256519,1.7887353238439532,1.7154582927451556,1.5683294202326443,1.8096312228660512,1.8224444292003164,1.9538571964747757,1.9131156189490872,1.7039683951349325,1.9123488936657433,1.9784227577186728,2.431591121080715,2.32638071095126,2.595767198802952,1.8025802957791925,1.6750847586426083,1.4741106568895597,1.4686843760021933,1.6324023838464734,1.403865046174012,1.349806912870732,1.4696068788576822,1.6077634956401528,1.256195411187288,1.1956714010973388,1.4558553166448995,1.4061258178675446,1.1907113813648043,1.0843092609081013,0.9756045520689135,1.0684831455599264,1.2421170396872798,1.2291378410444733,1.5726482852099162,1.1886946336837414,1.1151181301824893,1.4049683320148463,1.376620786719834,1.1779311664633645,1.3541562291600788,1.5589511212665956,1.543076085075172,1.4842718020391017,1.7578383261576358,1.8560969536342884,1.799468648632774,1.9359372541069975,2.0702603240245323,1.9445202937077077,1.8563060918002454,1.6368498687023962,1.7002263989021402,1.8554515755208578,1.6354741628433287,1.567544368562168,1.7093584058178637,1.70141362954296,1.4788325781323133,1.6245081363201281,1.8070362317056095,1.6025085660080534,1.543969616527932,1.6440407363096776,1.6629306166495779,1.6264087496909316,1.4994613834013764,1.5476662042201512,1.4935224955996245,1.9074968072517597,1.4265722218696228,1.4438948863444419,1.2001716030732321,1.1593332507497582,1.079635047492505,1.1412929560151468,1.1716625360535635,0.9683159133718704,0.6275406983816024,0.733850296368813,1.0535755341897808,0.7040413072407946,0.7127866498938428,0.9590807856358738,0.9279292788860463,0.6704932818128363,0.9124996591368171,0.91139433039648,0.6167455097236496,0.8148264151358683,0.952702309123388,0.8975054799563051,1.7595555930476632,2.9013113369360277,3.0061540498418418],[1.6753125024423492,0.9692242208863922,0.9242625352978902,0.7762530695045201,0.93193952963275,0.7662664927775237,0.6936624259209826,0.714619921828369,0.7129042957849876,0.7021769097011309,0.7125978922097274,0.7515959521062007,0.709878240260607,0.7300871337145992,0.8529622392585484,0.7904362993350675,0.7998124904617276,0.947527802864377,0.9683258369586883,0.907239792643967,0.9832798708901892,1.0733941520503056,1.0260368103949242,1.1670876712451892,0.9563818871547879,0.9703925680632375,0.8753119067483393,0.8534149286568493,0.8070539556271268,0.7582884169844203,0.8962436705372716,0.8418086857633951,0.8641402371617053,0.9020700906127133,0.8061932027305964,0.8345249722797823,0.761224026624075,0.7766973959670244,0.7660038852137366,0.7405991145876949,1.040742509338688,0.8943777750461905,0.8408763922030923,0.9244596700729008,0.9793231731351243,1.4279339802926498,1.2759035768590163,1.2806271492857255,2.2545911588344834,2.2322968138798713,1.8997576028666383,2.1889771819369437,1.9162575345196053,1.2062472865262672,1.4048482070116777,1.1791943165310377,1.0759321079549742,0.8888155121958586,1.3788071507409814,0.8540854589161359,0.8770179060827519,0.9429022265124162,1.1813501235435993,1.2503805301441235,1.0654369088561273,0.804947726911439,1.2136181377381712,1.0485577840420588,1.2127478353652767,1.1915071165325284,1.5044657027457455,1.8053210102230235,1.4423069793967602,1.392154241886153,1.1756570398256352,1.56159717353494,1.0425048230077723,0.9941305588130124,0.904103159758723,0.9470208897086585,0.802384868300922,0.8097907866965615,1.1587852085503731,0.85361546681291,0.76124782682462,0.7740313616830271,0.7559886702945108,0.7724454119998191,0.8588361881283105,0.8983209895331831,0.9849382889902537,1.0678872789886937,1.0480465013812839,0.9789266781937007,0.9176582596499477,1.0075454612419084,0.9980635445450645,0.8669113882685551,0.8295376101483,0.957137223568951,0.8008126894119613,0.9085921040059994,0.7749466900569089,0.8149973841162369,0.8433280910187484,0.827836007476057,1.1035692679477336,0.822879273940814,0.8394709121938607,1.006804804122423,0.7745157147460227,0.7350034348030559,0.7205371664274564,0.7731924341091326,0.7773754153343281,0.7992722615519675,0.9549559774224372,0.8850901815569062,0.8925041435626431,0.9197431985283859,0.8866498891208721,0.8578274740913923,0.7816530883443805,0.738214774239165,0.760340153767686,0.829004948949045,0.7170109783679496,0.7599175925521865,0.754138262559998,0.8117523305238422,0.8066244410098589,0.8063412268104228,0.7905667954315677,0.8730823415136584,0.7877787436752351,0.757513474982692,1.1240193143348431,1.200449373802552,1.6808983847355334,1.077078225926978,2.281187704379318,2.338315044322011,1.1592074799430458,1.0372556524533136,0.8231758060294113,0.771333942883216,0.7682894058208922,0.7350288111380396,0.7086814920797163,0.7365473038574382,0.7826700323848174,0.7930821695932455,1.1465351700746005,1.5594017914330172,1.114373517386597,0.8477172012053473,0.7496334879371831,0.7755154003842668,0.7197181949345876,0.7704105708173977,0.7098676657703789,0.715838624425431,0.7322588641568609,0.7156357879141719,0.7735733173642171,0.8683809436462594,0.8283423389475162,0.972974096046775,1.205574126981365,1.0670291493630817,0.9217189326796558,0.781788093692756,0.7430999589214118,0.715859953882259,0.7187145150713121,0.7545162040929309,0.7596445187168952,0.9171667966431867,0.7438335980721222,0.7572197201401397,0.7282357261719827,0.7481835622809,0.7611721031734112,0.7695790941923863,0.7414701552782446,0.8172345708225616,0.8655832876710619,0.8814721570237162,1.7041530653988373,1.1978425414828067,1.4991118113438282,1.0989723862396166,0.9315383837263604,0.8790926567275752,0.868549229722441,0.9070365795901023,1.0204255439873722,0.9419654034093838,0.9705305015245176,0.912197546767478,1.1544581081131355,1.166874178369271,0.9925599923721594,1.1732909493514658,1.3276877373450235,1.2282578537222888,1.3217293351419999,1.4063607315009141,1.5834228337585678,1.3779484230382248,1.4643283643130693,1.7464783934916936,1.6794583140322157,1.4905791255197234,1.7130830608046153,1.6853139440102909,1.8977972391103088,1.793560509460967,1.6441570343046183,1.8605578033299663,1.9260464099674792,2.471239500183947,2.2954469431169935,2.575258021206734,1.8114324637634966,1.7253491064880875,1.5466272616502335,1.5383775919533857,1.6707721706614655,1.436537160644518,1.406883863710212,1.5079569651229632,1.6263770520412226,1.305347301809972,1.2958933525502783,1.4323050624546847,1.3868310123055216,1.2219022001797668,1.134682674766639,1.0900346783001125,1.166869714436324,1.316324786216213,1.3163463320975297,1.6765845535129629,1.3035494741030829,1.211105865505813,1.4890254797948115,1.4817709032555582,1.2837192035862302,1.4146649884574736,1.6175315308824136,1.5964284204049748,1.5252625349483553,1.7916696633058156,1.890528972563904,1.8093186597028696,1.9461057592772466,2.0936332981268686,1.9544238840416541,1.883826182814014,1.6746405157416138,1.7317888931558256,1.8590347080383869,1.6264775928636042,1.581540072906622,1.6885126707786122,1.659593217623386,1.4508935870741337,1.5919580987305126,1.7283830333884054,1.5340291120756968,1.4816694316783487,1.603170330698917,1.5947443709308153,1.5306741165809123,1.3980747937394455,1.472366973981048,1.4386165810464668,1.7727439724525023,1.3655138705840413,1.359716532434289,1.1363308501137481,1.2955469452687853,1.2097123627765323,1.260552199593525,1.3357722905786484,1.0516129055879713,0.8651744581668979,0.8702465463817056,1.0289396654992287,0.8130825556651128,0.8595619667079359,1.051774474720285,1.0083054604168866,0.8124719361241014,0.9645032518007314,1.0065957588988421,0.8659063132463873,0.8908871692133172,1.0811630806040429,1.1660929906023383,1.9627821970092638,3.195337063265843,3.088005088211589],[1.7150531004142044,0.7491486351668901,0.7243079810044588,0.5306801415754349,0.743534604539919,0.5624241835193469,0.4434150670697895,0.5011477447838159,0.48800291856357064,0.47705362847660066,0.52698917435585,0.5940013169703925,0.5144425882594746,0.5474709109981037,0.7728583355096088,0.6874866471240355,0.6588236835932675,0.8310085574191546,0.8461301911701554,0.8040202610693149,0.8982985723600274,0.9635247817069893,0.9388528848718924,1.0983146419246432,0.8022584953408857,0.8365285017202321,0.7253435032664465,0.6758544469344654,0.6529808444319563,0.6111727084885175,0.8205925397589666,0.7302908982331,0.802421408547719,0.8442278870628936,0.7044376717422096,0.7190632505589164,0.6304220919085771,0.6218717624970633,0.5763926347990981,0.5472116736027794,0.8721911138203172,0.7403819893483922,0.689820620716823,0.7976039100386014,0.76716203007799,1.2105069706177423,1.020607873172593,1.158127513403635,2.160794388733916,2.0927906776078924,1.8426780622164298,2.1547955661593403,1.8930237300543027,1.1920330766097633,1.3901038717608285,1.1143446245620472,0.9492540464558559,0.818259400356899,1.3477985677767093,0.7959767536549996,0.79278383884103,0.9522639843550698,1.2204637821197684,1.2500487259469422,0.9514204890396326,0.7557213642163539,1.1568288748225033,0.982478343060397,1.1522997133420014,1.1425712166371529,1.4225019354582125,1.7947651808979794,1.4185906029070054,1.3596573419702207,1.1338032517734173,1.5644676651625589,1.0011400275415705,0.9581259323972546,0.8377401174804541,0.8549048343752512,0.7133659615440829,0.7134286645409434,1.1196592314843654,0.7130850189715959,0.5541994992531603,0.6263324066021644,0.6187991345541421,0.6824432099601313,0.759010066633807,0.850484730377626,0.9422060250459092,1.056453402915625,1.0355178783086378,0.9487397059735185,0.8546049771451164,0.980482382009219,0.9385089530810554,0.7945350231359631,0.7230926480287124,0.8552389283919719,0.6603494125125307,0.7354643079414444,0.6076000108332982,0.6337429145931154,0.690947616964155,0.6089002419658031,0.9412943783602542,0.6111726360319663,0.6461261122856504,0.8233702210946277,0.5627683631986249,0.5054432304868571,0.4818919919641505,0.5334341150992652,0.5692448512634295,0.5555998989487104,0.7309777263970363,0.6964054415464458,0.6976797212815005,0.7882519721275743,0.7117844560382662,0.6773017706256789,0.5409829343418426,0.464232275680085,0.4748496238794919,0.5574168898767965,0.5012705040948988,0.5478213510710708,0.5630293140136596,0.6329818069775826,0.6191991474810177,0.6163441061517717,0.5956171628459799,0.7019576465780695,0.6205057238512404,0.5701060392664087,1.041503630186078,1.0062415256647943,1.6507304312146251,0.7999402696930813,2.1249662870962163,1.956679594308843,0.8704732087472371,0.8080484515818089,0.5837876201452947,0.5656968151301714,0.539297438649845,0.5211523410153296,0.4762926984375207,0.5131559732285683,0.584276812891498,0.628291012921024,1.1029107780312846,1.524470502694925,0.9927394895468127,0.7062995939349735,0.5709156083335482,0.5846669380184367,0.5340447661943406,0.5692329931963507,0.47591623043353243,0.48440239671511065,0.4809575485902118,0.4729666767071281,0.5434098290071571,0.6346974731119148,0.6001160513137102,0.7386494126671299,1.011731164745497,0.9088140242137062,0.7281744321843625,0.563596593726417,0.5161540346893296,0.47074778564580905,0.47178905676949695,0.5521919426591602,0.5657209442443684,0.7660523457673588,0.5471257569685505,0.5710722098699968,0.4858177541497143,0.5396954770583119,0.5658117432681039,0.5473553099121432,0.5225547974774695,0.6130263523325828,0.6678697674852075,0.7242752480347228,1.5388882997706326,0.9364441573381476,1.5419013498606633,1.006055758729983,0.7721616843375915,0.7018035212658923,0.6942340976349631,0.7285505083171042,0.8784842465441076,0.7702327889200337,0.8337506089338097,0.7690110209868029,1.0509365675189413,1.0695472704821734,0.8683261041405153,1.088019300507479,1.2716725490790943,1.1657472482850963,1.2626175385392715,1.35717447087359,1.5563610723784806,1.3329143576708922,1.4311625278762103,1.735281059218838,1.6660498893925617,1.5094495455955108,1.6902514801907513,1.6414617649455323,1.910067674403578,1.7433699316564424,1.610038049587805,1.8378170256136561,1.878786965805714,2.498517548433788,2.2851003252185724,2.6425217956522964,1.7740164438089716,1.6721797302243653,1.476839720178318,1.4810180947216072,1.5718981139303554,1.3570438930240472,1.3453104092456318,1.4073775353230633,1.5287926670126337,1.2026659325515072,1.2235946549162575,1.304836497841293,1.3007912318920196,1.1362510730114332,1.0279165735225535,0.9809056747693485,1.0745448618928715,1.257961193774839,1.2587197043024785,1.639354241098822,1.2486463790411244,1.147857641207028,1.4476191714449058,1.470217265615286,1.2136576595828883,1.3823620983595593,1.6208427202544737,1.5997665863290955,1.5236935066617265,1.8032934842390977,1.9240294701449925,1.8466398902368586,1.966706889827783,2.1140395186328145,1.9496500639858179,1.8753974073128452,1.6535553146086162,1.7075473745116192,1.8339511343541712,1.5954448818871596,1.5419342912896103,1.6487633521845586,1.6204360587395623,1.3915731737220762,1.5215478095830524,1.6627929315609753,1.4593931762104786,1.3968918055336927,1.529786435586128,1.5063581429402992,1.4564102716254288,1.3043074741788545,1.368509513467118,1.3410796257536748,1.6766648430444075,1.2869169997350525,1.2820284979011265,1.0558727509878916,1.2163258429863286,1.094311723592801,1.1226219268195214,1.1963854399772615,0.9179570942558888,0.7008057419065836,0.722282855086977,0.9142601087280332,0.618363330838397,0.7169402491797616,0.9573522500012163,0.9180884884994104,0.6553948527777961,0.8269782789100624,0.8597262956415959,0.6893650108693572,0.7936990074232128,0.9352481042505384,1.0016054800664365,2.105644809811687,3.0968434475133497,3.3092412995670646],[1.7845795780374683,0.8183665769131051,0.7459777811920232,0.5658006760671624,0.706583667307729,0.5414524972635554,0.4507649603552712,0.5097252230039865,0.5152057860112018,0.5114950057167466,0.5565261519469427,0.6277385940671878,0.5447807185210314,0.5892679740086447,0.8132969875929387,0.7322559565472895,0.7103708056886195,0.8955294218478069,0.916914171113599,0.8602547918446516,0.9716507043439824,1.0286023681501573,1.0165252031323526,1.168116815661464,0.8527423679427878,0.8938198640662917,0.7682259989393899,0.7081684192053921,0.7012196042339499,0.6578728988980693,0.8784442201982635,0.7795338053479712,0.8550411577759732,0.9077914325435132,0.7552327376943393,0.7750984856216268,0.679525345842659,0.6747083068549751,0.6226837653973576,0.5872685491491221,0.9155445416391822,0.7944641821760621,0.7450292097872706,0.8217626948009323,0.7852228313887788,1.2260723959637576,1.0547532016168724,1.201220796779713,2.190331751174123,2.1089172195809422,1.8832480341891782,2.1974898545644646,1.9257886771985402,1.2414524642794138,1.4207722881261808,1.117037979346054,0.9927133244761184,0.8653160974588321,1.3052845534930608,0.8149452544216398,0.8506183808102553,1.0103533792163943,1.2006744858995735,1.3574783982149607,1.0709283678077244,0.825507748029312,1.2422827872229203,1.0678091006387014,1.2280766363488227,1.2044955904132628,1.4877090759064153,1.861418976076802,1.4879256325785588,1.4514827399276182,1.2100820492727853,1.6686060462356065,1.0917402512085082,1.0416658182864584,0.9058577855756107,0.927399586305345,0.7555218809939309,0.7399943129818224,1.1295684867100493,0.7503020151676748,0.5968410451088383,0.654971273809827,0.6637023049343601,0.722329950570634,0.8240291886233478,0.9137927868104662,1.0211762341243424,1.1393072292596385,1.1119837628402542,1.0200765199504898,0.9152526330013666,1.044628388779425,0.9868325522850668,0.8496301859892854,0.7728415737753576,0.8873274258003753,0.6991002441860936,0.7544935304818743,0.636090071028406,0.6446025553256277,0.6884557647379786,0.6121997487301739,0.9318123414368447,0.6148896471268864,0.6423732614365428,0.8164907457657844,0.5654616317216424,0.5095164886362514,0.49315791257133446,0.5505538199515341,0.5972249109395518,0.5757617869027047,0.75189558811685,0.725157450710388,0.7531899433402736,0.843389281398194,0.7600787428482196,0.7184595363855808,0.5988305618569747,0.4906632251489402,0.5030092593801313,0.5767678869176094,0.485117129198561,0.5444831603871101,0.5499022227274059,0.6254046402630178,0.5963791224422689,0.6074315207569982,0.5815249829621512,0.6953376731743123,0.6003220849657755,0.5526933266440963,1.0224094265143415,0.9659890616297029,1.5901891591790362,0.7903834127005226,2.113089177922247,2.0180233737609097,0.9019757206016525,0.8202992353887003,0.6186169888929801,0.6105369880907155,0.5687015965893569,0.5541070821970321,0.5038731374259315,0.5330768095866752,0.5803184326614682,0.6290929879250451,1.0896809893374575,1.4946132100660667,0.9858722762645887,0.7239946209503828,0.5991021882364563,0.5973076485034604,0.5686555734529918,0.5772079523147446,0.4962885022046087,0.5156337578993092,0.5070513698778557,0.5071503440487607,0.5634709049718717,0.647541854013368,0.603819114400735,0.7598983227062548,1.0347140203904048,0.9156731046755867,0.7242712072029592,0.5603790198133091,0.5219424093894836,0.4915513164800713,0.49369808318537844,0.5713442384270127,0.6004791509050755,0.7795029206871104,0.5784781724423319,0.588641661711402,0.5014374364147947,0.5417352304295766,0.5656459294543091,0.549156273094857,0.5277713150647512,0.6328131662213771,0.7082860239775696,0.7709049442385246,1.6035376131926722,1.0110103871693228,1.4801901516912293,1.0457854994563747,0.7879940570091927,0.7060917692301537,0.6779488483926546,0.7109068547607098,0.8552605933175093,0.7569346147647992,0.8178228174459004,0.7622519447007973,1.0517876354664584,1.065696364934969,0.8512421666030979,1.0818039556861796,1.2713379578715338,1.1442200560168878,1.2566369888824642,1.3567891112347439,1.546345101557803,1.3037875159171575,1.421714581374831,1.7310026154284868,1.6256982106278266,1.4532425703548868,1.694654393170341,1.6527209453919318,1.9426268909421163,1.7990219172751358,1.641679727187972,1.885591223594796,1.9454041580861492,2.5133366574211657,2.3782155487057546,2.7136000846723,1.8296008185350263,1.7330882686211757,1.5076526693350503,1.5183687707056734,1.64163031404168,1.3886683549522099,1.3619514008163,1.4396179885308533,1.555409946248708,1.224277692050342,1.2283170799589302,1.3458750866289637,1.316576027715795,1.143634670673284,1.0420180502769885,0.9716589700849753,1.0645567106320615,1.2537067014310581,1.2565218462397345,1.6716402466688618,1.2446414805984098,1.1412467195959917,1.4692361622906989,1.4666616201620313,1.2057634521123668,1.3805170071252326,1.6206789178769534,1.5831721561990815,1.4945124101972604,1.8093460836651307,1.9298765841960348,1.8172016330928005,1.9668318765489687,2.1464107626107225,1.9775827509534627,1.9133820164540907,1.6812431205325362,1.748879705799503,1.8882960003871105,1.6179058548457763,1.5674148196549393,1.692250167583758,1.6536359248596275,1.408731665271526,1.5644497942443492,1.7001680466284805,1.4885040471827642,1.420630422195558,1.5716522868226264,1.5550374757964407,1.493846372421746,1.3488299472272403,1.4278324012765917,1.3841638480737988,1.7825664727057977,1.3015165960010473,1.3014577383349926,1.052261598620986,1.184859669926946,1.080189830012978,1.1264424208414254,1.1850435365242036,0.9182001993569547,0.6804439646531214,0.7059763199037705,0.9110323595160511,0.6124216172874734,0.6945751578279598,0.9277956674919386,0.8712342128193739,0.6300763658509067,0.7969764067782448,0.8469323858177247,0.7136920337883133,0.7111635266312161,0.9087718540922829,1.066800089250714,2.189615294983974,3.3190267097059376,3.523961967493715],[1.8456256876298482,1.0461530440237512,0.95600190761321,0.7639609994274514,0.8479139283477577,0.7298226796273033,0.6492997681202446,0.6622862190026072,0.5929460538610339,0.5714340514572244,0.5871117442565352,0.6482889388369848,0.580709873562602,0.6071723360198155,0.7560585083043067,0.6713324654048142,0.6537541985508865,0.7961898256123799,0.8317767296446738,0.8019248252601862,0.8914604340733242,0.9755917032123285,0.9815831564137059,1.0725422779926372,0.8457249673964184,0.8448526551986761,0.7554361963049544,0.7323678548618583,0.6820962810331984,0.643002550422295,0.7950886807018744,0.7445828633120369,0.8436693047743204,0.845228209654989,0.7253363115309647,0.7028644975174247,0.6742313568148182,0.6370917247076641,0.6299615354305592,0.6469472411256776,0.9264866576897574,0.7540574160591,0.7091578591778797,0.774360070550614,0.8714221206731108,1.167553156910082,1.047798011314987,1.0031919278787735,1.9153861331991628,1.8975549252126331,1.6647648246457736,2.062538533002614,1.8934568759179915,1.1954319592925196,1.4557850645106953,1.23597494460546,1.0789522293110503,0.8283511301113009,1.4732337231554002,0.937908661549893,0.8244198688045135,0.9014028540351356,1.1610077384589237,1.175804916937142,0.9804229484814003,0.7278246623609356,1.1429175804893568,0.962205717870441,1.1417779115072288,1.1165788033846218,1.4000532317179972,1.7815815871941125,1.4158692404044808,1.3634875738330257,1.1044308732110883,1.516485760887836,0.9622320017247568,0.9191255629834543,0.8112882368977585,0.8109470388512556,0.7305590796544591,0.7727271495239124,1.1776301892070704,0.8013186203667164,0.6769538766917924,0.706566217661858,0.653128968285715,0.7630813727353507,0.7317864559822912,0.8274114086292467,0.8989811582869132,1.0234464392322324,1.0040678858443497,0.9348340879735917,0.8426769119705277,0.9820365396622754,0.9292904055954172,0.8192717113664684,0.7929878804769878,0.9903781415009942,0.7883144139478798,0.9405105943747206,0.7663299076816396,0.8770091119139531,0.926007201323569,0.8769330925078431,1.1899633432135197,0.8758272138119676,0.8852411940918735,1.0185913493080474,0.8063903012342748,0.7096659038596186,0.6383170073569439,0.6442376052027704,0.6620606542326383,0.6742648818230985,0.8353315009613664,0.8878788463454934,0.7873125244223089,0.8093617041887855,0.7845691987664002,0.7390795923168673,0.7226751690646038,0.6620907665856948,0.6683945985392036,0.696318023379581,0.7459050029375781,0.7589562129656602,0.8788395579938493,0.9847158837728196,0.9255201526895689,0.9426555141582977,0.9260650624246306,1.0030828396628415,0.9435807224803529,0.8833572322948983,1.328422341796242,1.263826454326735,1.9148667364014893,0.9929398209907839,2.0754096961382205,2.0476979853287,0.9845500536838131,0.9125169787106661,0.6973925914616694,0.6263664442675275,0.6464436920764225,0.6355580329074714,0.6376654382738625,0.6610628179443859,0.7874458895930208,0.781579881423254,1.1639028691452822,1.5850531736957214,1.109886922390633,0.8648844448099297,0.7238127430840334,0.7867463548269921,0.6614826341100816,0.8134629688418399,0.7037093647477086,0.6381179892626184,0.7056688946452782,0.6462913873626839,0.7865784235264384,0.8963610962354905,0.9595456707545833,1.1500022461058725,1.4414005306546758,1.2759633416635832,1.0987981522499635,0.8533722755804746,0.804889464652085,0.7408061179946612,0.684697565238561,0.7517908280978817,0.6964071075908463,0.913298789819148,0.712151346591309,0.7852632008746134,0.7457544805936197,0.8332733442272755,0.8844139191425467,0.8466750052410673,0.7966872504269518,0.7826579705244007,0.7363692667705805,0.8363360548139547,1.5558833655092341,0.917978283764725,1.8023740151357306,0.9864050941954472,1.0516723182111463,1.0313152932442324,0.9906853422982929,1.0216950762527457,1.1309179311794706,1.1067273187826856,1.161726226237726,1.0842710932629713,1.4156070326696977,1.4236776577701877,1.1656220315786086,1.4147237986116208,1.6296938609039449,1.4717583729571253,1.4963709114589303,1.6848034879487441,1.8939529449626913,1.5979042677081898,1.7238936412321348,2.047568048396809,1.918930036895403,1.7015463119596188,1.984247547879516,1.9307831480835498,2.240662981215319,2.119870195587371,1.9762173811914439,2.2152762263243315,2.276238159374301,2.76513088355169,2.7458741905530704,3.0602726750686,2.220891733898379,2.1428686068693263,1.9080401321240723,1.9279000560419068,2.0431445995280675,1.7777912400886522,1.759199945993582,1.816898553179487,1.8862141514012554,1.5878295819165615,1.553145650998973,1.6675687755009179,1.6375710916408022,1.4026303378002138,1.3715107927955177,1.3226693786213788,1.4425717036164332,1.626285391188057,1.6159302071856367,2.0542954296381595,1.6150743458859196,1.5241974592745675,1.8591685716971809,1.8106344054443708,1.5561997921938033,1.7456279231124172,1.9807481161777205,1.9200960856865774,1.829178629803918,2.167571257501937,2.2793981587089682,2.1394308029544478,2.3074990317585002,2.5029088549344767,2.3359132026877636,2.2909225939453957,2.0685159202905132,2.1397915237887863,2.2591407401551034,1.9858376873734296,1.946097949598295,2.061834902880733,2.0029176403665128,1.7613314135377058,1.9281821703589341,2.028620987128788,1.8219686789365328,1.7524750168204861,1.8959956796698099,1.873096903485897,1.8136325222616319,1.657603581816398,1.7638485968812048,1.6726352661194142,2.075978858189129,1.568040759049644,1.591045857579899,1.326314414622757,1.3658617987990505,1.2923567562827696,1.3462234826688784,1.3293163511593673,1.2238261441831884,0.8866978610673277,1.0312514342228145,1.2287933784086746,0.8854563028542208,0.9704831965964955,1.219117802828568,1.0902068752351808,0.8900559074444757,1.099016868996008,1.1592244245534116,0.9634148352398842,0.8339854183824378,1.0602909339061142,1.133218361497577,2.216090796532474,3.498968402464226,3.5704196691821553],[2.0778279960529167,1.4645665790157676,1.4641998321990635,1.2862445253192911,1.3835943509402195,1.2114588075159605,1.1625146480142647,1.2187745215451795,1.1909289480367888,1.1430165167196051,1.1382966943881472,1.2182606571688361,1.1581413328414198,1.120593009049339,1.2785604755716173,1.2543357534993538,1.1907681741918232,1.3272393632302009,1.2713398222214336,1.2742487470249415,1.3021718199440069,1.3896257969185746,1.3273523671910061,1.408677233603371,1.2836671648139677,1.2728218938250337,1.225469729053798,1.2150461121553195,1.2060037362165223,1.2347195618525024,1.3412993554536046,1.3421275374978505,1.3788927399453859,1.4063237774599084,1.3091923035014543,1.298564271743166,1.2697406198300434,1.2195676700588816,1.1945501409863368,1.1911484321287231,1.381357262141849,1.245937547873278,1.2095896769371999,1.3950887882419039,1.3314101218296759,1.8318225798794243,1.6397126839426823,1.7151295864492633,2.654224279127058,2.718422837626556,2.3033479370092165,2.5042639278631085,2.1220608921963118,1.4647452941723316,1.7685847387767204,1.5714034899067797,1.2224443716495372,1.295702893494154,1.8015938816309736,1.2216908776493007,1.1411501945654983,1.3820258097587284,1.7432575105380828,1.5952317482383516,1.3025147661247647,1.2433351156067922,1.5166037467670295,1.4058367873897617,1.525454599067235,1.5373190696089436,1.7662619306895286,2.0626957996444157,1.7596047355793736,1.6731010314649475,1.5578404735752327,1.8604146917881148,1.4362110600746374,1.4381069851272483,1.3775655548951729,1.37683247604003,1.307789768133269,1.3024588747176347,1.5684935902085821,1.3355051208641437,1.2491116544498067,1.2982344112669288,1.2220121790829572,1.2579105866214018,1.290378606420643,1.4107678115119453,1.4411951398698761,1.474559189670187,1.487512698731372,1.4550726761928292,1.3687490919993255,1.443770771969212,1.4277667829184986,1.3691414680367882,1.3437698660256532,1.48114190385947,1.320102325974761,1.3602189667075226,1.2843052578754302,1.2779164583367217,1.323059041505868,1.3395580708637347,1.6114382772862876,1.3405072825846442,1.3396238443685535,1.4784362551779042,1.3062422101123607,1.2461311204377659,1.1888113710414066,1.1885850467983934,1.1737607396759595,1.1653476324239174,1.2726828209000662,1.037431855571269,1.1101026886015284,1.217265060996053,1.1607588581321717,1.1701964873245108,1.0508991932674454,1.0848483288151307,1.1409055974175144,1.235939486018966,1.2037686798234404,1.2351945567626903,1.2134070255723641,1.2742686807894312,1.263386193451885,1.2976292598216184,1.2523378021317493,1.32748663009591,1.1707114305327924,1.1579620496029943,1.3992265889141589,1.4327970507371606,1.7387284432824481,1.394218121935736,2.391877046407264,2.322690430898702,1.3766415575644708,1.3447855118016045,1.184756753569043,1.1952313870214974,1.1821281428316197,1.1680448280774547,1.195350096613838,1.1969833807629982,1.2791721094253272,1.249332083530848,1.4372214378192008,1.7547282063441685,1.4878452455963114,1.3114631206265372,1.2444025885402488,1.2654104623166442,1.2354116950969,1.2610519328385237,1.2061939075874142,1.161409942050094,1.121348875572265,1.1456427588889846,1.124280758907326,1.1564421843134418,1.1277569242489216,1.21740988409667,1.4151422350558345,1.303569584545851,1.205681795651799,1.1182314971945122,1.1384020112644824,1.176847683482112,1.2125533161735602,1.2620809934480433,1.2541937367746512,1.4190147776803763,1.2429296754095132,1.27581919116141,1.2170253595283154,1.2474342940776204,1.2465898901088406,1.2347282373467905,1.1926040614556417,1.2350722626698678,1.275029893041017,1.2318008009904176,1.9237922408792618,1.5252146748437494,1.6473090662754555,1.4677581409002034,1.330134458252587,1.2939492448625578,1.2990033349412953,1.3514720116002823,1.401025840578442,1.3936020776568738,1.4115138517849795,1.3787931569884602,1.5762664060237466,1.5696016782642284,1.4031161297130632,1.5544197581124684,1.6935875628974844,1.5751344024078995,1.6134433050525858,1.7228391592513261,1.8773010989041128,1.6265920860589869,1.7318975861236459,1.988851086689658,1.8410531744908796,1.6677288958064032,1.9276190935390878,1.8889172544216397,2.2069207130663657,2.0758831136707814,1.9638915571626783,2.1973093448039354,2.294973139423769,2.8051745492006477,2.700826851638574,2.950403140619348,2.213021169210752,2.171483756380474,1.9631166647262,1.9724177727557224,2.1319874719798917,1.8255823866965866,1.8014789578070916,1.878899484038766,1.922540130260979,1.6745285189881043,1.7473235259322322,1.7912524495536422,1.76176805050284,1.623589183757588,1.592015835792689,1.4924320997528147,1.5816008204848684,1.697697430612387,1.6991293170009214,2.122340745633149,1.6967218327435247,1.619623119585564,1.8908909915887115,1.8320479560582819,1.6472911513514463,1.7860270199571253,1.9411172789800855,1.8701342894044282,1.8123152546879162,2.0984561661379084,2.1754859653717045,2.016161698452458,2.2128710385853707,2.416948127441511,2.27425295183686,2.248645599868489,2.050557400755339,2.1241689623827957,2.24354885971537,1.9717078066512819,1.9672658786878177,2.0684677296070997,2.0036530908938706,1.7922849310472706,1.9476717534631667,2.0195755734716467,1.8406044326320152,1.8129181155880025,1.968438206737865,1.9725532986336245,1.8748810020186948,1.7332146923159626,1.822856528511733,1.7549144054188552,2.0812610913604606,1.6556310214371717,1.6663575188626507,1.4799866264352444,1.6428225869377988,1.5420241192160897,1.5764951299329444,1.5878807991316084,1.492581730600753,1.3436474385888348,1.3414406822343197,1.4009752249924203,1.3288333070169651,1.3332967733542167,1.4300103459245577,1.314280524507504,1.3016869846211356,1.3678630782331644,1.3628222352445152,1.482997445174782,1.2687426161349917,1.457475124162131,1.7167226658556871,2.64777012276744,4.092754653846029,4.040633077051228],[2.185214020587062,1.748103688461583,1.697937592909097,1.7629802721224777,1.713397553196979,1.6308392560501754,1.555960805963729,1.537581903135009,1.5325955187967333,1.5121522897702282,1.4677856118400072,1.4759288570461888,1.4968087668736032,1.4918895613946752,1.5357909856389498,1.5186212781787796,1.5062749208042696,1.5837525958867817,1.5793360673947683,1.5521916658472703,1.5649865195854673,1.6328790014307555,1.616950963554998,1.721238343377946,1.6910754131530445,1.6369856267991256,1.57685866872281,1.554635887288739,1.5217205189373784,1.5158448068256685,1.5267703903049343,1.53676977876054,1.50855966426251,1.540919807534408,1.5084166090559374,1.53049632289164,1.5359571081029215,1.5412818943897817,1.5671600062639837,1.57820439942872,1.716347756498298,1.628794277300419,1.575346509752107,1.7442304628481848,1.8273331851253216,2.239019300859137,2.0773802642992427,1.9361691428904984,2.7286864191442124,2.839038839705237,2.2939610510093664,2.4355894240932883,2.069635913190026,1.6537313132760716,1.9336760470123566,1.8074790171729063,1.4954435763089833,1.5501062421895653,2.096826931670164,1.5169909961304278,1.462490731031777,1.5883183982087226,2.0274457725640667,1.6992920210492224,1.4845340043519497,1.5351804618608125,1.6703714034738324,1.5914873287869724,1.717242627234746,1.6976147177079484,1.958749756439199,2.189975881229904,1.8522112258388286,1.7861282918369152,1.6668480958843745,1.8620738763649023,1.5656586425230212,1.538364009633044,1.5451522611819102,1.5585889862324898,1.5446131833717565,1.6015883536015845,1.7436046263385336,1.6051117564756487,1.632235013613947,1.6166852425107363,1.5343679730921984,1.532920477411595,1.5177413119474827,1.5356024224807272,1.550606539657473,1.5464402886748565,1.5587867721157862,1.542845905625806,1.5115297297152397,1.5442425498556909,1.5708034745904593,1.5033288982291289,1.5130145932062593,1.6341310275738148,1.5364401174598843,1.648470821640493,1.549733049663075,1.5826939742614847,1.6245404277227486,1.6528852551284003,1.9343652211363809,1.6963472198653975,1.704761467116862,1.806692271574499,1.6622386990850073,1.6029862083887003,1.552099767381759,1.575104678451646,1.540077242592982,1.604764269952533,1.6353853359684627,1.7510898474050443,1.5622411687454059,1.5377733942247203,1.5448395762205158,1.5533263366971746,1.537519645728389,1.56228121919833,1.5777887131171453,1.6827474720786437,1.6310585174391818,1.6712759542783913,1.6926234660738944,1.7388961980228321,1.7353189203743165,1.7015073281596853,1.7197428955786982,1.7394614083405289,1.6873029875912942,1.6907218475357584,1.964040416678608,1.941251642348707,2.058622103840167,1.8386475937757314,2.599200017586027,2.6604655076930155,1.8146060106250732,1.7031082268011082,1.5898266288179395,1.567396669523559,1.578478411064667,1.5143077980580808,1.544888554154832,1.5383943629351786,1.5858838448025798,1.5300450299168527,1.6580533109753641,1.8940093747889333,1.688064294683967,1.5408078711330193,1.495191882223479,1.564371727200337,1.5316369414458957,1.6096634095534907,1.6034478985167753,1.533323057443194,1.6045235528781394,1.5891969185434827,1.6143537791148534,1.7263382865210601,1.7138980450721437,1.841373289536878,2.0151288315156872,1.9071179041669393,1.8068544053080224,1.6999979896710051,1.6553397837162342,1.6018633509611155,1.5954491167306857,1.6082133286008116,1.5788831158283596,1.7117196007293833,1.596875545143694,1.5959962520662891,1.634809804049788,1.6416329138908596,1.654736275755543,1.655944907913798,1.6351332985969544,1.6625879699175499,1.6944247310344223,1.6888919262970579,2.3464500915627204,1.935349452101434,2.1151759077844585,1.9145417161248404,1.850148489247245,1.8127162195257367,1.762483779107612,1.8298264960543147,1.930730114849231,1.8629935003586182,1.8800455286286577,1.8112651771638544,2.0078391720775572,1.985008982460138,1.822275545704515,1.9940667824237608,2.097878212362021,1.9795843266053008,2.036555964254295,2.128749984932115,2.250527836767637,2.0284918889236527,2.1160838069782124,2.3384497591958637,2.1967355117527823,2.0297981355634787,2.2539254224125926,2.2453121383496755,2.510327529784162,2.430956979545715,2.331355745409725,2.5224204515255857,2.618837161397049,2.9695766665816437,3.0028430636660786,3.2688434429339726,2.568470029005251,2.5259292273453915,2.3182488179064396,2.355188349948144,2.4950134957746792,2.216925739113844,2.1952345147491643,2.279058070678838,2.2859974554404165,2.090700127730613,2.1687710681411483,2.2339437198220495,2.186629799484103,2.0806601404360583,2.0438229434870787,1.9438589327761915,2.009875683489721,2.0975535753074364,2.098092751536864,2.4857943802874076,2.0587703275970117,2.0011150738397303,2.2355214825579837,2.142744804625623,2.004714255848402,2.1454133790506424,2.266909455194367,2.192074651210885,2.1437975292606155,2.4235468589663745,2.469935152975466,2.3115791076047802,2.5205778601180597,2.702240758271365,2.5951174127384644,2.5760138887043214,2.4071173800170516,2.471364799738716,2.567877041748502,2.341808439635561,2.335952219388234,2.4238878750017663,2.3671080136946827,2.1963461852168575,2.3205963568237706,2.3752756688096506,2.2442865401892624,2.2243982330595586,2.3505533124460194,2.316167110619201,2.271819944888127,2.1465596399253912,2.219069615481142,2.137547074786795,2.435464712470551,2.042832282461476,2.085370465134138,1.9079512549562938,2.005681728287485,1.93187535045165,1.966905765949758,1.9301950857235761,1.939930370845756,1.7036209211893016,1.8043581970075069,1.917526682493117,1.6629987905530055,1.695514340269434,1.7817707629528996,1.628564265695329,1.6881469391502675,1.7162433804145407,1.7565599023533565,1.7424388989683737,1.5984391141764962,1.7425197907263503,1.7820737762668615,2.4960934356240894,3.979974593782299,3.958249825630362],[2.2571819462398786,1.90463302558724,1.9502115109611933,1.7876617799209706,1.7876341194760377,1.6837708042361812,1.5702474536586601,1.6321151010707882,1.5004056380133755,1.4110955558508016,1.3700857788445162,1.481345551290419,1.4453928664145916,1.3297628313499976,1.43058053249812,1.46286769880783,1.3909910822058167,1.448349635537233,1.3701965804131249,1.4229891950939013,1.3917820817246014,1.505813879338464,1.4162088458852207,1.4864379129136693,1.5036247459175327,1.423665734353523,1.421021254349231,1.4102185987250613,1.4325100489978266,1.5086416635885203,1.4926489388915791,1.610143352005559,1.6102789274189235,1.6209811527834344,1.5711327295632527,1.5208196531631215,1.5927849567373593,1.5048898729497273,1.5259511573590425,1.5869454370091471,1.6461716156515642,1.5171152289414933,1.4870245488864018,1.6933771474735118,1.734687580120923,2.1446551841007477,2.0048488185277993,1.8801941310802173,2.7075773312600893,2.8436257189561056,2.3434430999263722,2.4975799548236206,2.138266064221998,1.6285171584358047,1.9882715052349649,1.8216984746043885,1.470816781309779,1.5530459719953507,2.1116691134099423,1.5186838698044105,1.4092988477346817,1.5412693383254408,1.981724518782821,1.6289347589379508,1.3782779489861197,1.4360466133198657,1.5416824575603767,1.4872447460717395,1.5413755607216149,1.5412983889760332,1.7392019512741317,1.9858222774632128,1.7198724786528392,1.653263231003961,1.5847141207299613,1.8446770612113508,1.5315884918773077,1.586672921154333,1.5715008031013296,1.5838219422177977,1.6061124230315926,1.6562043632735617,1.8601942438765333,1.7430424101191866,1.6896506408980922,1.6660192111773264,1.5374817999981365,1.6090054496432014,1.5076976281772618,1.6290172550613478,1.5756506227766565,1.577888441441898,1.5959146532821775,1.609112961177732,1.5177320653761561,1.5606172698135474,1.5117944289186243,1.5863824198038503,1.6154878140313276,1.8186196861205872,1.6791142054226182,1.8285328487078205,1.718390065957234,1.8003263252158426,1.8494521416012326,1.8863000602617486,2.2226148952542,2.0068101647736416,2.0128022332544617,2.0665560467564648,1.8990259329063444,1.7473643956619689,1.622286569900744,1.5745283179546212,1.4475423124012419,1.4421477926031314,1.44643751918471,1.5618692409439652,1.291276830596044,1.3314852177088352,1.275207294245448,1.312347659315953,1.2740368171557148,1.3606852555833495,1.4503005877203672,1.6353437568862352,1.737883538339744,1.7900769327266475,1.889301100306478,1.9324360511375245,1.9871424857929354,2.0067255694014867,1.9676147159271036,1.9699570423900892,1.8697698563591976,1.810097223852451,2.13159187252202,1.930895320406982,2.0566525196676313,1.7171219106586524,2.3249471606962033,2.397334713855129,1.5896092358658234,1.5287504975375972,1.4774070589834387,1.5069492865105838,1.5048700378146345,1.5165496555671039,1.6136735192619298,1.5984105938932809,1.7547735631776444,1.6766388255397502,1.8779218735129208,2.062528576087593,1.8450974558184134,1.7139892111619532,1.6246882391480222,1.7301439934273017,1.6335369161835807,1.7513610877911896,1.6893903879716583,1.5602905799439015,1.5915444999603017,1.5968231641062733,1.6500268171826287,1.7473236113726802,1.8286762657320914,1.9596225569262773,2.1721013773927735,2.0166761549086525,1.930780711539839,1.7481640494134847,1.7278926544432611,1.7054554647418847,1.7007673378035,1.7625951114679872,1.679955893812944,1.8651794526410166,1.7176064955953028,1.761382916596289,1.7603795717236725,1.8210210171964354,1.857073534435043,1.8543007896974248,1.7793877489798917,1.748237276940358,1.718967902327029,1.733808342599937,2.310737580811769,1.9675782770466526,2.194781335560978,2.0387362448294315,2.018678698587732,2.0083481048828515,2.022273108612901,2.127824876999222,2.2027319047489335,2.211286921490771,2.2509738019388297,2.1722986669101303,2.422447795451641,2.361029410919,2.180534771236106,2.4002418481158543,2.522480341382173,2.366623641455819,2.417943876208969,2.5720465187322654,2.6515447760385134,2.415698481403417,2.5434027929658027,2.7746537440789147,2.5795396428044,2.4211484106442116,2.7212682545001337,2.7089161765209164,3.012011564052682,2.951327453563783,2.8358838929320087,3.030073468897406,3.1509156645245446,3.4204705309364134,3.453057230043048,3.588610184415528,3.020810133742881,2.9687241342736304,2.7533845580945204,2.8007464655698984,2.9991976317248548,2.6777157687506383,2.642164592250374,2.7629627779873798,2.7295120651353457,2.5299374845813944,2.613755065538993,2.7065428978536197,2.6573592704178535,2.474167134739757,2.4767421295988,2.330232816385951,2.423669332970449,2.5115636151389578,2.4761817403617292,2.8324275402842316,2.392485896155486,2.37467627346839,2.602885584298269,2.468469818965153,2.32974920300793,2.509247631246323,2.570191450086332,2.4718982522538826,2.4916206365906013,2.7513512750344526,2.7307027013074863,2.5940044828480793,2.872325425497662,3.0433180072927586,2.99488185693772,2.9697436481041564,2.7989642075874213,2.8936435397854035,3.0265762819074435,2.791441129692374,2.794852650739181,2.917801325987429,2.867064197865385,2.6709596313938424,2.822926699524022,2.900006095335157,2.7441570420039545,2.708446616840191,2.888132205694794,2.860972951397081,2.7819733205997004,2.6177798133586925,2.7089265821368698,2.581077808102741,2.9725826429022955,2.440717085184938,2.5131392404992234,2.2502425749269106,2.2055210031682586,2.1750741360251773,2.2398916182183064,2.1444296260472315,2.3430153065545274,1.9751998623435796,2.1180072780799035,2.1228500871276346,1.9809359748952977,2.0297768102457487,2.136088320156185,1.9247575211829528,1.9553979692570056,2.061700738067181,2.0158278455505765,1.9476161301803334,1.8106430406812009,2.0090653167070935,2.0328855600975557,2.6999579634323116,4.269725913226235,4.289425310402626],[1.6869024398680617,1.0976886342236882,1.0995451267289367,0.8909295551443805,0.9547862549568467,0.8855846711019648,0.7742638714959507,0.8359102236976185,0.7272715754431799,0.6699465112364,0.6890210622462275,0.8120983394515986,0.6994474210354186,0.6623406923409867,0.8273127961737204,0.7664970854438276,0.7017325582742912,0.802980015409285,0.8151135594949328,0.8036454043711994,0.8590549775728905,0.9657797874526597,0.9563939876645596,1.0390709988152715,0.896779336444458,0.8491816477626215,0.7826271588208022,0.7550328804596558,0.7486549346163643,0.7757639077997984,0.8698477042847036,0.8954643934213373,1.0037782602782435,0.9891811452425399,0.8682275131483093,0.8108414013405477,0.8342214385745723,0.740547890238209,0.7475583513347948,0.802070072622628,0.9979796770325396,0.8294478442882292,0.7834408929355181,0.872312603932865,1.024656473122977,1.2642588135907005,1.1609063083619404,1.0087860715902242,1.8668449363650959,1.9189617500961798,1.6237426319154393,2.0289640716050497,1.846699065281104,1.2084874211607513,1.5436781422127992,1.3415713758977348,1.1422231710544866,0.912886314581314,1.6233438097290334,1.0655671885971685,0.9093897159534416,0.9838448259429905,1.3168887949330768,1.145986421905659,0.9497736322297934,0.8011498227336604,1.0847630429687116,0.9459631510736477,1.0821623088945986,1.0866115157223815,1.304877599837923,1.7000771316774108,1.3741466436075722,1.3144260556931668,1.0958461954532708,1.5074908372545024,0.9898916502414533,1.0148367655892445,0.9210111611623747,0.8844609717684809,0.8857192596350988,0.9149946701806273,1.2914049302287562,0.9510156304205174,0.8754661813780752,0.8797881418495681,0.7791958797139265,0.9114795055147484,0.8095450232746015,0.9750060667680954,0.9940337081020433,1.0873051080515268,1.0797704232303342,1.0405100131012852,0.9336007573624122,1.0755829727607842,1.0072823658681185,0.9641313236622903,0.9585876244105997,1.2054949222253863,1.0096792330633892,1.1616196638815035,0.9916628880127635,1.0952322707867332,1.132721584941675,1.1001259192116235,1.4521456626209066,1.158846139774314,1.1680637244447363,1.283461080032239,1.048772888322899,0.9032319396689102,0.7911819693117912,0.7517654918916985,0.7185003075155034,0.7319839911771323,0.8345683039286208,1.1452434195203522,0.8021145773860379,0.7803220739164197,0.7606493837980874,0.7277224905194454,0.7742545046580595,0.7174089132104003,0.7210410380844857,0.8029285653353119,0.9285624182282634,0.9766422730411711,1.1302002468544627,1.2118519489047566,1.1860714462604984,1.1985855234177638,1.1771324471727687,1.2128990131302912,1.1575099103204463,1.089081474069966,1.5881050608872522,1.416269781517704,1.9971629801591433,1.0759388603656257,1.9087666828221626,1.9861663297212782,0.994795550778945,0.8778381420176132,0.7427561268040624,0.712087696109879,0.7277924092827774,0.743664480624139,0.7962866622084148,0.8087481698347166,0.9774463778529425,0.9588160664152163,1.2824222492521071,1.6363126685221843,1.2795123325962034,1.0601265673363522,0.9161489345338844,0.9975414250404623,0.8538531908066005,1.0027239784964006,0.8894291829530692,0.7662069825125695,0.8626657268023565,0.806066444542619,0.957400461779682,1.108583813865966,1.2092339339152516,1.4333187159605525,1.7172776559034177,1.5333209892680677,1.3508948380427348,1.0835311223255535,1.0125744505260872,0.9310627004214556,0.8760848951444927,0.9521992042950397,0.8752378493118942,1.1107866449215662,0.9026915981336372,0.973670302526638,0.9585526740416793,1.0393561531278628,1.093157020585851,1.0706043166258703,1.0108321187762377,0.9869705959514646,0.9376171213260304,1.030023993706827,1.734257380186463,1.0978767008010422,1.9516943297010765,1.241659098148537,1.2915003602549853,1.2737850798596375,1.235313849459739,1.3310292632591827,1.43320514861589,1.425962746395733,1.4832586369050553,1.3840954874019444,1.7274294418803213,1.6909328206298073,1.4366868967998605,1.7151710473299817,1.8979341282023854,1.7155023238094145,1.765607359655091,1.9660232565431481,2.109586114801808,1.8200499540146229,1.9698395260462034,2.2683042865877643,2.075424077436438,1.8716179434841718,2.2198630073782106,2.197349655705636,2.51805914347372,2.4508744378687686,2.291240270651239,2.5179029035271077,2.6165173708367306,2.9964030580035543,2.993174933077515,3.228461596608169,2.5046856573535425,2.430658928786617,2.176045820767073,2.2234844229868997,2.401007621479115,2.0687795571047767,2.0265249774930894,2.1384602468929006,2.1564428794921087,1.8819829785671371,1.9104763149700754,2.050161122818146,1.98327892583149,1.7528133462570752,1.738654356632258,1.61490907553877,1.7340623517824565,1.8803023981212088,1.8540076855601442,2.2973756133903542,1.8190815473104835,1.7474596863077043,2.064216244434665,1.9506951190528272,1.7466131741309632,1.9477789634535516,2.1009480254847768,2.0102116875938614,1.9762109462976862,2.301023418887535,2.3431021291147087,2.187097844207815,2.442715713471147,2.645520710942958,2.538026060479524,2.5009492203054373,2.2840499850663694,2.3800701042434986,2.5225268234363267,2.2443918539395535,2.2204286776492244,2.370688643541855,2.314468968092866,2.0672029117403263,2.25106369114258,2.3622185034281413,2.1571250288958743,2.090793178904328,2.2858126766382476,2.2491561642988835,2.1990508489565057,2.0173648811377323,2.144336810616221,2.0090107726836863,2.4228858804498143,1.8366057230775745,1.8956280041416875,1.5819493342921764,1.5036248159785923,1.4655805797717227,1.544742445068109,1.4415640081257333,1.5587473252645856,1.080164904451454,1.3257745187788048,1.4979339454250353,1.1145982794660168,1.2290522532899453,1.4410816008863547,1.2468264184688023,1.1319795098547873,1.3186509716137553,1.3484647235270568,1.1463897826779954,1.029236325952912,1.2895685559916248,1.355878903327072,2.319458320855119,3.822888427061424,3.8670880976126707],[1.9491695334172972,1.5288940021268023,1.3546133258013786,1.3764016255209959,1.403264403295364,1.4944342390601018,1.4342654868020834,1.4635395255008974,1.4007771863271956,1.3395853088193865,1.3496467649666097,1.4040897996879373,1.390904450739317,1.3245165826384309,1.3726604764779662,1.3438883315056902,1.3045963148679698,1.303543735399209,1.3374491398846555,1.3187344712390636,1.3241937567822046,1.4001828668076057,1.4027154736159797,1.4658651523207638,1.4482351964005196,1.380048327280318,1.354052151948238,1.3220670023338295,1.3285748876864227,1.349449659138034,1.3290639734119192,1.3677669548252755,1.399785917176926,1.363056732500528,1.364382147299276,1.3291720429949927,1.4243447348134182,1.3569151408797928,1.4038930355290762,1.4692867949464192,1.486567912215304,1.4604377436302436,1.4211669936027662,1.4659481280646818,1.6801476198362664,1.7719604645628173,1.7240153274188879,1.3951762519310025,1.8931476604768607,1.9537243200954815,1.6292438628249915,2.096770128908082,2.044033224909177,1.6954360924979015,1.983491637625162,1.8893075525782002,1.718664437034431,1.492921349685025,2.1376736662845297,1.669520711651005,1.535979248622009,1.3886211932716268,1.7977407152279699,1.3718010255710282,1.3357925704794993,1.3796094868327722,1.3946975151831678,1.3262033648980098,1.4216048080098247,1.3922951803340506,1.6104092444402756,1.8829848775559586,1.5516054047678784,1.5421513705715655,1.3356633721492677,1.6216354777743949,1.3178927108127811,1.3216924055791694,1.334625609019907,1.3239998646023816,1.4238363549159259,1.5048982925290766,1.639699898101029,1.495160330108525,1.522362648492324,1.4694837871718136,1.3996237229304649,1.4809708751299486,1.328178785799267,1.315610569140723,1.2991100089526755,1.3495263976024787,1.3537763880814657,1.3484652373574841,1.3400900991992726,1.4050267368693874,1.3769478514190072,1.3908959012228868,1.4568251664257557,1.6456859809485254,1.5166715488879492,1.7325487503516572,1.5587578654876937,1.6842221781821134,1.6928149332395455,1.6467171896424986,1.8690941447201914,1.659402185249804,1.6672663057083423,1.7780516060970468,1.597987710681828,1.499571112131772,1.4379921259848318,1.3707113919610705,1.3401476886709949,1.3688748674823603,1.3707238684881158,1.8347088476753899,1.381941101620717,1.2744060983211678,1.295745578098876,1.2962522899960363,1.3479056402445964,1.3465803671048797,1.348513906423068,1.4189060305767405,1.5217590889659598,1.5732531864817025,1.7508533288583141,1.8407630335115746,1.7400919640475927,1.7330401348526534,1.7486087290995105,1.8010222014149528,1.7708310728640286,1.7065116517906318,2.11682935584629,1.900285567138331,2.275268820023293,1.5917781074206876,2.1765587463193956,2.384602080641725,1.5562441853776023,1.3818471523716789,1.3622751401503235,1.3431024038016763,1.367756976992787,1.3926441104705007,1.4445987879937041,1.4695039369444691,1.5710497651128914,1.5596914310952867,1.7399294797889409,2.1017224494416573,1.7985009514351966,1.6065338117925716,1.50267529606121,1.600819376243679,1.4695179191086039,1.6366800207323986,1.5290936753211293,1.4326847187872296,1.5256794578954747,1.4939112184869607,1.5854362683463643,1.6876764746670194,1.8426237261526752,2.0357333336629626,2.299830049558257,2.0939484900231884,1.9579519920650277,1.715396414675365,1.6702034361567177,1.565079205104801,1.514819216477027,1.5894402007097972,1.517359713012531,1.6800612171952958,1.5551380257615994,1.577516719984274,1.6090488222007595,1.6706256231288323,1.7181440930203924,1.685746333115032,1.6327533407071573,1.608581662974868,1.5499119769263057,1.651730619633786,2.166622888368379,1.5727148770839074,2.4562329532591223,1.7553316624165713,1.867635952639611,1.8494336351169542,1.7605072355157103,1.8323646560448712,1.9500480140178955,1.9173894330318118,1.9618262011943364,1.8889188024278087,2.214897367712911,2.224997645755759,1.972073664446061,2.1965759379399667,2.389990545862721,2.24230646893685,2.1929099365447526,2.4213464702201932,2.614743213268695,2.338273755813516,2.4258877017165217,2.7315094679412493,2.614653212100371,2.335501919255556,2.635559150735638,2.5845584360348903,2.8639800296451434,2.7536215013668985,2.664115434411343,2.8724065823913123,2.920529467601316,3.182683512430532,3.3545592206058847,3.7009687140911005,2.9246225544779483,2.8424596042503585,2.610146713819367,2.671114141631983,2.7390715225993048,2.5173857537172304,2.489121779392105,2.56221221097192,2.5696951625010325,2.3360996623337966,2.3075953798370534,2.388698341737375,2.3272168061805996,2.1548623176877912,2.150875315111626,2.1475001997584378,2.2482174397206474,2.3923218673213995,2.4012947875508113,2.7648100876818553,2.354550088197333,2.2931834119782866,2.5659276640214173,2.4665930564782963,2.287948712047132,2.468955350344801,2.636652936409067,2.5703809890266074,2.5121115144745367,2.8133546968059058,2.8622562570246894,2.7469663694196456,2.925162802100856,3.079031942898293,2.974319595223221,2.9391569086407685,2.7657128229175507,2.8221996669653118,2.9097310669863763,2.6971198196843917,2.662775621963173,2.761766929859071,2.708096509646976,2.4924645490709576,2.639191733293562,2.7187061369845047,2.521425425284062,2.4495806280362062,2.580496539944871,2.4985166151178326,2.478848856273942,2.3150428877524365,2.3862528108030414,2.2331812211536106,2.630182403965193,2.1237941280992407,2.2492418319501732,1.9996305060084456,1.7870495264996311,1.779153099997684,1.8342286583873524,1.754362923669065,1.92491605853822,1.5268071168945334,1.8241392377488344,2.0594013967532354,1.61604226203486,1.7618364665494581,1.9994510971799102,1.806894570419697,1.6963883040417373,1.8954951504135094,2.0065909970141536,1.640786355094726,1.5569311108443615,1.865641847592837,1.6089657983377772,2.290802053148802,3.4677787998309806,3.5734302648454164],[2.143416622683482,1.879936126588206,1.7569542546825667,2.0229832467309756,1.87896739574304,1.880698327137366,1.782875229340048,1.699051064794485,1.606530517721656,1.573401566016638,1.4635627219047334,1.4358156058474878,1.554177953794249,1.5058764690535238,1.4630576759768716,1.4519641970631445,1.5067816730535095,1.4702826213184668,1.554337552531194,1.5428249262550624,1.5533830860669795,1.6314242133795531,1.68430352694344,1.799944175897294,1.7650387454302827,1.6965787877831517,1.688239506994849,1.629426262304781,1.557272107848804,1.5318750797234522,1.3584287306936613,1.4451594524978244,1.3941377253482483,1.367324046411371,1.4296387685305687,1.4625747542127707,1.58652215688779,1.6112239669742703,1.7213078063872422,1.8000592093077037,1.8481727143906963,1.7650692695041414,1.7106446521072316,1.8170597401198332,2.0818822162549293,2.196901727717423,2.1530435301585604,1.7292124256247619,2.166180303453171,2.311547975954572,1.8707406037014793,2.2556676374208884,2.14670343871096,1.9072650445604014,2.147350661467728,2.0365068291418535,1.8774768946645157,1.6970995241027815,2.282957635079733,1.8256728241405709,1.7140872133710332,1.5435073344537884,1.9498346425416897,1.4467980695419755,1.478636605858263,1.5631477029599794,1.5211511807838918,1.428208537665614,1.4887882459552388,1.422922199202027,1.6099889037414377,1.8134469847494674,1.4819473707263315,1.516038542708727,1.3237914239096924,1.5372720317467832,1.368031810483944,1.324055648077209,1.4187781776120265,1.4606024530625694,1.5586059145135724,1.727414515965973,1.7417180808453234,1.748208963861141,1.8585569572056218,1.7282092326898713,1.6252197497721377,1.605533283198302,1.4598002041005953,1.3631965360431186,1.3157489818443338,1.2367556538555426,1.2519965730732718,1.2667243154099732,1.2968407440779808,1.2952106548016034,1.3257611931519964,1.3643523028996611,1.4742695701492714,1.6465455943989433,1.5631119040133672,1.7830903505361824,1.6772718894612182,1.8122352814345206,1.8961857137154137,1.9023443679907959,2.15451038761188,2.048650913912782,2.0646582627452306,2.0978919847774242,1.9723246232629756,1.851643466199421,1.7644162412837918,1.7688801514891905,1.6730433699757405,1.7828716600406025,1.7201124908658083,2.355810968390644,1.7267747710476866,1.5173885920832582,1.5766506771287043,1.5904201282836261,1.8049292781198212,1.7786066304323123,1.7610623418977982,1.9219175909445307,1.9741615484766757,2.0425259313972974,2.1954829670483087,2.2142358752354494,2.219744853179486,2.1605411089486033,2.21420523922534,2.171471482922967,2.231462596956931,2.183584574767829,2.6642612834605934,2.3840592346071796,2.596129296418518,2.0604948483680294,2.3947411750177348,2.6234373779530453,1.9462625392750128,1.7773118752003687,1.7564315872266898,1.6874138074800278,1.7359779513159952,1.6769485020482027,1.7375832308865538,1.7045815042017012,1.7558057749151912,1.6488610209909373,1.717087079757326,1.99863195983671,1.7633804408266143,1.6162470235352095,1.5778544735909616,1.722020531008262,1.6302379059249543,1.8731299205201923,1.8805669033058408,1.7392479518690673,1.9651761608769034,1.9013978955508755,2.0711979447973263,2.258106019583978,2.3901970294081893,2.640954169241931,2.8847989814619472,2.688559096589387,2.506944811208569,2.2500924362698336,2.1128624317263576,1.9441383359455486,1.8399789137235787,1.8415482825490692,1.7197425901788133,1.841170956506874,1.8212470688955698,1.8385410460300509,1.9855277009786665,1.983685501402394,2.0777922904501103,2.099194189870736,2.0896371540912537,2.0536801956499935,1.99848331818115,2.1173537461445338,2.661920874661955,2.1432082650398128,2.7961693989433036,2.3117889127190163,2.396976886944205,2.3702340304051104,2.2574311327440433,2.3537861963810203,2.4877880988886245,2.411217064039741,2.459669709210022,2.321723396828079,2.5728700945709133,2.497568816142891,2.335734784966885,2.5966105687057643,2.6574244912686926,2.49986281495387,2.6298694754155445,2.7481708106997953,2.7479513273056595,2.5935162989328093,2.7343805398665197,2.895360144382368,2.716912954474913,2.597838648195219,2.890367931039833,2.956551980366864,3.0809330618645085,3.1946356936519567,3.0123345629112834,3.110423367171066,3.2027270880162964,3.3210659974828545,3.550701469424733,3.704959849762264,3.0945958386485986,3.018544536837198,2.7988199558746447,2.8916901613276833,3.0599725130968998,2.829346183985654,2.7804353738382743,2.9191234926284757,2.913183154622816,2.7365300707799083,2.7831164794414014,2.918684317273922,2.8367189033154223,2.693633553150789,2.6454798759911022,2.503540076507002,2.5680963068849563,2.631009431385471,2.575415860602351,2.8550045606432914,2.444655208027161,2.465769515072273,2.632324007640521,2.4676654390293558,2.389084209883083,2.571659559329864,2.5924588682564025,2.492601794994962,2.530005794201459,2.765229190663128,2.7116357412234966,2.6195099144153016,2.8806795563933023,2.9941179289211513,3.0046684665781136,2.96972410936433,2.852037349827252,2.9300734852150807,3.037563657027807,2.8965789661794084,2.888396552877329,3.003513545604956,2.988392972818386,2.847702545135214,2.9528426187356245,3.0562739632454528,2.9674551585512323,2.9092050502279525,3.042102347240403,2.9832074303508347,3.0353416942586366,2.902730162278963,3.021902964496181,2.911146148777825,3.287238106191424,2.720306962441375,2.7940865112130027,2.538928990407635,2.393720489315859,2.396647447800433,2.4694354041415507,2.3454019373144948,2.518194461352248,2.081834175599891,2.331153060993198,2.54063756384074,2.0536991321875915,2.07294971082216,2.1697364806331843,1.9495824438498957,2.04320729768622,2.1407417976813123,2.124397325693401,1.9234607522137912,1.849385586591226,2.104883716275848,1.7143332923805188,2.234876062067676,3.6641723934045833,3.726860524937758],[1.7956380383193296,1.4698309263941838,1.2984157367344356,1.452943997352044,1.3940126243576036,1.365860232873113,1.262632136638419,1.1755248282094932,1.109034192189183,1.1061754144695055,1.058255495175605,1.037069484917804,1.0825547912710263,1.1076060021222873,1.082117607505246,1.0258425343927395,1.1078715719645233,1.082617613496501,1.2235997628442068,1.1403001387661746,1.2301707918230305,1.3123376417451815,1.3616207843750785,1.4466927100318452,1.337269731466404,1.3068386545601214,1.242892106587505,1.1904015452529353,1.1150755443133447,1.052028610713921,1.02432791201253,1.0340154277506663,1.0838934814197208,1.0389206556373594,1.010498929003779,1.0134831052354132,1.0808980265022612,1.1253662277502625,1.2073014282953693,1.252576386542463,1.3750786431263928,1.3170322049574226,1.2461108026380516,1.2716473940273232,1.5882141482731775,1.6273757321075966,1.6565708656615348,1.2588226354801704,1.7322374536035674,1.7984498229613064,1.5598997437412945,2.0855847774756984,2.018929960799588,1.6039985047115468,1.7437718962727546,1.6160715102912726,1.63244407752981,1.227734867607672,1.786882787310086,1.4293438430813532,1.3856979652210528,1.1273166784789532,1.2960089231055247,1.1752566577645605,1.2646657326470407,1.0852341744681857,1.2593222299629576,1.1229577758423044,1.260054344295978,1.214011035165309,1.4481558872669507,1.7587454550827082,1.3877634688224383,1.4366945542498608,1.1319517045593919,1.5217315162052174,1.076456817724254,1.0494867614696222,1.0206792388134514,0.9963540528309752,1.0746931161778268,1.2298994291885965,1.3790471483629312,1.2097292455530984,1.2880185166201397,1.1686528342394862,1.110234123400838,1.1508600857884321,1.012183266387783,1.0147490331295639,1.0307460125894055,1.0851225006339438,1.0934669008053977,1.0521634993326834,1.0293068770018114,1.1349660990479378,1.0975959411846423,1.0300593575728085,1.099064368663626,1.3174360832182477,1.1491719132219849,1.3521966767118558,1.2021111137411393,1.3629785584201846,1.413963316025228,1.3900171265906796,1.678162154689954,1.4997827070284602,1.5259415893515118,1.5957133730444704,1.4164472816501916,1.3059960296790556,1.2260271543015604,1.252790099611041,1.204940870269298,1.3016786458124086,1.2887929597227963,1.9370322118096563,1.4551906677117576,1.2240214148318243,1.2976768582548557,1.2433642398816416,1.4499093863152446,1.3440017656029384,1.2795199482822859,1.369794284793773,1.4302581470252314,1.480462084620508,1.6432972297306487,1.669454523290461,1.6846532128542722,1.6406264434246172,1.6772574312181996,1.6345315317694458,1.715933993906334,1.6464903035107428,2.192737681648868,1.9093799811925194,2.43310639771862,1.5695865813569745,2.0690228228593153,2.318402905723344,1.520199782660518,1.3242487141825858,1.2735506471314442,1.1963707861282156,1.2353056816191232,1.1880625393173452,1.1922823062360344,1.1799836274897155,1.2589517355988722,1.2025529538739457,1.4372848817105932,1.815138203752506,1.469390525574758,1.2361364897789953,1.1352678635860955,1.2476002870507819,1.1262985657934925,1.356844611179382,1.329634279843943,1.2206189509945953,1.455110399011823,1.3654960348159226,1.563286628881156,1.7752223405073,1.8873601212411804,2.1501613732039266,2.4150701671568524,2.2168431641366264,2.016329829681068,1.7397718397461643,1.5928861578910478,1.4042072644901273,1.2803716946089612,1.2997135810151845,1.194949392028844,1.3479485057904435,1.2737653729571161,1.2987430116284224,1.4124508120064379,1.449029855008352,1.5435234893508278,1.5550181688495626,1.534458334927486,1.4861230771086227,1.439154210334842,1.5930591284644424,2.1892961900334624,1.5560325659973786,2.4244943592650348,1.7882066463788655,1.869075777587945,1.8336552941211384,1.729300949476029,1.8358478435085832,1.9631873150574861,1.9120122825567774,1.9881527020312137,1.8402777433480233,2.1772210600142445,2.105523141994818,1.886971164700067,2.1948299957513724,2.3263330891193963,2.1392504429379104,2.245853136368955,2.4234382215916415,2.496231160583773,2.263682241090585,2.4263610977977534,2.6729473646596396,2.4671528916950747,2.294167112501056,2.6625190150850555,2.6908947719545004,2.9274337697260693,2.958354868210125,2.7655691591449876,2.9418451583459215,3.053995044086569,3.280261451053242,3.444186380418076,3.600688703217198,2.9179941271781167,2.821334175964462,2.5392288051194196,2.633868087897807,2.8131772197981313,2.5322095747690834,2.456838374392012,2.622004719295365,2.647965690496932,2.383631729465495,2.376990254821399,2.581144352143989,2.465073984598841,2.244419273978128,2.2224416079760494,2.081185966840583,2.184341223775037,2.298862050210027,2.247373657158804,2.606307058101129,2.142674960890378,2.124397381918187,2.3957644565314875,2.240179915979027,2.069119963691056,2.293701676445277,2.4096929431531664,2.308311425242502,2.2965564859268133,2.623788610440872,2.6304413169313974,2.4909898474821053,2.7599530598865254,2.9428836959146234,2.882075207722609,2.8448659204754723,2.6505694511871183,2.754146430185804,2.900609383704558,2.6645654246500783,2.64625434771538,2.802708708731524,2.7636589048630698,2.5460742775507397,2.7115310678340814,2.844809529682808,2.662544354610989,2.5743573933799127,2.7600150936038776,2.7157085756180064,2.718179251171235,2.55345612548956,2.7039550103414265,2.5694248997562603,2.9663654397810193,2.374770026278168,2.430267553355553,2.131406301600974,1.962050916082742,1.9466451752376017,2.045893982214174,1.8979815043315362,2.0650786495727,1.5686466480839567,1.816605201368881,2.038477033516702,1.5589005824389,1.6054244038005123,1.7928620391616805,1.5387726204087269,1.5324392576627286,1.7193440274230212,1.7371182678910144,1.3937143537168293,1.4177107895075078,1.6751442097634799,1.425785482167702,2.1746885437406736,3.5699898416666644,3.7312899392498102],[2.093393972149913,2.068239806675777,1.8913201081649966,2.3325648297188644,2.27385321252228,2.3127899774236074,2.2768122611905937,2.1422515854317328,2.1343922303986664,2.2143771433643686,2.141776637876648,2.026180208405769,2.1869744576159444,2.255425351263979,2.130058255164434,2.0757226212271602,2.2483490715110364,2.1991084448202787,2.334257749310428,2.2766241520715687,2.2984148917315546,2.3394406281030005,2.4170767580575543,2.4117419214284435,2.506782724728082,2.416577826904726,2.3691878021723767,2.3240607936476856,2.247809386536305,2.121323290014421,2.0311415895819445,1.968917756676408,1.9111148359561136,1.9033788427334948,2.0028128904997553,2.0639982331611333,2.113976944131398,2.2666189685370446,2.362338305395359,2.384865281204733,2.487387013715007,2.4579524093631053,2.391981229741724,2.42158629361678,2.8024078168811495,2.7077420755473502,2.8384736565114057,2.3067336548590576,2.3405394052393755,2.380585434751518,2.263687892364074,2.736903608230666,2.7849164890341114,2.6661225265457396,2.4961457215650293,2.456239363437292,2.696180729709362,2.2777409408539606,2.470866083828579,2.4381620224433616,2.488336780038142,2.1563470619490683,2.157221963053465,2.1447437055060217,2.3727328078691143,2.2055559209644624,2.2471989070625766,2.1921549443872523,2.2575697970848463,2.162576660214396,2.371212463124563,2.5492748068861113,2.190962799691824,2.315178459731595,2.0312069203246903,2.1822426471520324,2.046065389028806,1.9627845954123793,1.985074082043211,2.057568455821219,2.084667789300741,2.178990237914985,2.1923449019857637,2.1911090696868114,2.3185319946602485,2.205184601619756,2.212136070070913,2.161157992521278,2.0804754191051917,1.9151233367519793,1.9339601858281472,1.9374716616271754,1.9141732729143668,1.866858848512906,1.94476898416815,1.938142791326356,1.9959685911690377,1.8827921032572128,1.9419561212485352,2.005850499812854,2.0040009749790704,2.1889857260220835,2.103543453722814,2.191691997614247,2.210679469531275,2.2022747321878713,2.3331412138930414,2.189718702712406,2.205946565422077,2.3006896642788517,2.211667516635922,2.253964315195625,2.248508619061357,2.3383050336581204,2.3250750156395745,2.4470717775631083,2.380878744407408,3.145236970704823,2.6635705149810915,2.3575962958875007,2.469623444011449,2.3957776975170124,2.606720989620208,2.5003562658883807,2.389988760487838,2.3987617311411307,2.366269287517088,2.389997416567813,2.4715038821879065,2.48005615689204,2.4274980749628474,2.321184546300789,2.4589201287384763,2.412359977817867,2.591998154114241,2.573510663291989,3.0475263401549157,2.7889134558034527,3.3982099940699975,2.5846544225899235,2.782166365389817,3.0728634389597484,2.6312011531708137,2.410157779136498,2.4100938166998196,2.3390776009448047,2.370664576122686,2.3061827228741363,2.237100778509283,2.225500189223732,2.1735753434146177,2.113910928009256,2.122917458286724,2.3575760491496935,2.1492937922524584,2.0534966324853015,2.0569513036150875,2.1318943587119303,2.1071507246102157,2.2858415200865965,2.3501953120180636,2.327390680772986,2.571808957189108,2.480876599105799,2.643735362704598,2.8145597072591286,2.8606124996715714,3.0717241958887773,3.244068953329808,3.1169485705136606,2.9421984117378663,2.75023143927532,2.6132982523956185,2.4072961094336,2.2973442584732213,2.2631866810727908,2.2064964636601396,2.2602541477547495,2.2735708851260994,2.2256376826522475,2.392202094134287,2.3535800221242633,2.416421527379625,2.4283039967963735,2.478781603457197,2.4919926631847775,2.49717935924354,2.566625515410596,3.0544202827302915,2.5058021102839514,3.329476351285902,2.6800738102744712,2.7089196269452818,2.6315867734532703,2.4573095855928058,2.4934276468293786,2.6175856028854994,2.492093452112712,2.514003975020839,2.397788106806166,2.5867383971560893,2.570932053524818,2.439192331482615,2.6261448491667183,2.665403346273819,2.5838987530857604,2.6800895021218265,2.7119712848591884,2.7719478176375123,2.6658632947000074,2.701668738199075,2.8361528828066587,2.783262101987722,2.6074006335499056,2.771922198558984,2.8593271566077836,2.8985754401091075,3.0005690990356384,2.8581802045846962,2.929176034884974,3.0065503531185467,3.0917407333255285,3.3537477146517842,3.5949165217069665,2.984947686244382,2.909611495763097,2.7394310298076645,2.8079373661104285,2.8901334850379845,2.7575307159654425,2.75042408576576,2.823655512326849,2.8485282772575857,2.71132324166535,2.735999599334686,2.8510300962915025,2.767642530103465,2.655570845103177,2.597427820442482,2.5653085939912836,2.601701422587627,2.6481722587547702,2.626875706429597,2.8868407418473283,2.5517185943155045,2.5270810433412003,2.679220937255071,2.622367961547645,2.535914734638713,2.6485817511590706,2.7177190504613957,2.6762466068901607,2.6560347230039665,2.82832867045867,2.8392898481946207,2.7593489457469653,2.9182315641241616,3.0009017171913066,2.9650455306849968,2.9366992335084614,2.8476516564111756,2.865627301991827,2.927583914316259,2.826706940337334,2.821593054352141,2.8734224831136053,2.8575963541911498,2.7724588083488593,2.821137252349979,2.8817802470916596,2.842507073812732,2.829303410684018,2.854161050164292,2.7927357249137517,2.874190408604812,2.7793223654953936,2.8608156238686333,2.791897742576848,3.0225548963960995,2.635745372676394,2.7265541574544088,2.567582508618144,2.3708057743701696,2.367316781336737,2.416651290437515,2.3483365854270564,2.4574049135209655,2.1827114733289505,2.421625706104916,2.7575207505342925,2.211104196524142,2.2385908590679384,2.353258318656068,2.2521146864993153,2.2666074303784547,2.312448582788471,2.380296229138082,2.1544789855924615,2.210674401603217,2.302971050556213,1.8089651768250405,2.320071267794374,3.29177802076421,3.6524017349256077],[1.6242486095672968,1.3480170069507706,1.1627025516887655,1.2897794994343768,1.3200726685959776,1.2701036641590624,1.2148448449548932,1.169612042278324,1.153055979269524,1.206463576442444,1.1863443227931267,1.1196677413823573,1.2010737838380965,1.273354514381123,1.2541339346395481,1.176951929251708,1.2688345061102468,1.3229868135751677,1.5002994678876687,1.3811072358518626,1.4854046976837092,1.533834308762538,1.644893460227441,1.7070360937797329,1.5889855827756691,1.557063991101056,1.42797429916416,1.3724888779026905,1.2978480700618351,1.168646765472645,1.1977938760296023,1.129570760988195,1.157288093785949,1.1687030560721952,1.1309751931949423,1.1755300767811625,1.1631923808679694,1.2442061875404606,1.3019151994982257,1.3113686186457367,1.463833975900586,1.468608301712812,1.3985856182871828,1.3998427474881692,1.732318713070024,1.7575103339670446,1.8313270248185538,1.4605615690382365,1.930953372109323,1.9181459990911087,1.7352462417781553,2.2272829880465426,2.0819590373881565,1.7019810915002274,1.6632442770424445,1.566832078025636,1.741655196591104,1.2963788812691117,1.6297388125535262,1.4713658478689224,1.551918085808669,1.340111437672924,1.2667338841975737,1.5039308019561457,1.6267205919619019,1.2697349512775518,1.5312464425012762,1.4049258152443023,1.5709037794553877,1.4696710970030953,1.7120668389080795,2.028346357582063,1.6640196010948731,1.7415251643473255,1.408433012999163,1.7229741969623327,1.3282653451612547,1.2537747673903104,1.182334656402359,1.2281045916232152,1.1833955053396208,1.2239373907493567,1.3640031247729956,1.2342566975577232,1.2889111404663207,1.1984221797747259,1.1989567375388102,1.232447574768841,1.2036515431544248,1.1517375512169785,1.2147518744459878,1.2985101220122057,1.2648648535777676,1.1896449640112736,1.1749957316951778,1.244901201803616,1.252474692142976,1.1022691500839734,1.118956720802538,1.3516516314820242,1.193226756875577,1.3758250454153729,1.2026476356253857,1.3092613735591032,1.3024835908958727,1.2540189285054875,1.5122282908470928,1.2387621569454568,1.2556709086785118,1.4169467293829743,1.2215351555739344,1.214950846698956,1.1908029230378072,1.2801294379758315,1.295327573233747,1.4039300116671833,1.460189495581337,1.9835219109951086,1.7055759577952732,1.4757635153028215,1.550026302920875,1.451733601082037,1.6127922185717403,1.457797342793053,1.3337546313165272,1.332935336348289,1.2916871448199014,1.3221531053486342,1.3959074575165462,1.4203676276807655,1.3937884966446281,1.3297699584383798,1.410653122548816,1.384125908783831,1.508254552611077,1.4868385791334056,1.9649901750148187,1.8960156130809014,2.586458493529621,1.6383946492016188,2.2813358215124273,2.5313349085586587,1.6778460004286597,1.482673586564902,1.3961990848804777,1.3015809065992807,1.3211400052206248,1.249852111238933,1.1894409230422893,1.195698553543482,1.2424329874859432,1.260939722083618,1.5460284722380082,1.9675251519594623,1.5760282706717006,1.3102470669250206,1.1749784136123818,1.255812337328482,1.1467017663884675,1.3035331238100385,1.2851862051723626,1.249124076355893,1.4649889487342285,1.3798745585802812,1.5326755615650696,1.7577188965239898,1.7405445999022913,1.9756418200516859,2.152947093025125,2.027479081312614,1.8298873003549794,1.64687958918262,1.5089517810021937,1.3375333149992628,1.2453308989353655,1.2408361181300258,1.2096204825502768,1.3314659258683033,1.256348246546381,1.2369448492321133,1.314713979588566,1.3110157717993924,1.3664828008937089,1.3745719457407577,1.3980668366376516,1.405754212591817,1.427916101889044,1.5566511408188457,2.1603069562587374,1.5774098641037912,2.2779174641803315,1.6622984463887074,1.6464370207780015,1.5793338981253613,1.4829018043559712,1.491658661273919,1.5931872927012403,1.4843489749880137,1.5317736105109512,1.4444203682621708,1.7134311641856612,1.7319453849189288,1.5215530380682158,1.7298137607379933,1.8799842152535762,1.7624890840354706,1.8008584730805322,1.9237087203703902,2.1096889189700434,1.869347830415051,1.9394249363676208,2.2163588399198675,2.129926250763473,1.860755185177255,2.1349061375852596,2.146925653195467,2.360922545928834,2.3240743175649077,2.1673596459236273,2.359649477052228,2.469379150566436,2.776061344468483,2.910548569933708,3.1446525363112707,2.395936613514798,2.336329427691049,2.1017198083259516,2.141927037490875,2.2494210642627035,1.9925005395534854,1.9515996734151677,2.0600284665611635,2.120159512680553,1.8604272097328027,1.8323085338805651,2.040274142150438,1.8945704467963194,1.7705893571797096,1.7129574103545202,1.6444410550390114,1.7382671067570223,1.86811392814185,1.8963113298239191,2.3141023812992194,1.9182307341280596,1.807199248509762,2.1031249388320843,2.0957996609314344,1.8618845550522125,2.000821328767012,2.2298603252224467,2.19387256975457,2.062062096106369,2.366370069549747,2.4894781228742295,2.3310773949284993,2.4562215681997355,2.6474958862035414,2.487767521458039,2.4596324201646156,2.2614354862435624,2.31463381166795,2.414498906823542,2.1676994262619798,2.139476885299935,2.231122187642339,2.1843624267980877,1.9829475585694323,2.1201630868816133,2.2424100734920036,2.065530840827484,2.000367916239977,2.1365570161261345,2.097573744063796,2.1305631730602586,1.9914854213692526,2.1322331456895682,2.0665169100315324,2.3462152503430342,1.8659585322318741,1.8867350395580038,1.6687030944583832,1.58273895234486,1.5791864885995606,1.675377405816495,1.6411569669671942,1.5756762895823677,1.2418233139733343,1.4279026735943625,1.706642472420171,1.2650848366778804,1.3591644380203192,1.5952564825256264,1.4884950275681719,1.3249551420633003,1.5000657388713017,1.6120101445357944,1.2875633081091409,1.2898968439385716,1.5277901659899646,1.4336432955890217,2.1957005354605057,3.4058269106126264,3.737971242262012],[1.871334336948128,1.3117892314767166,1.0802935075750961,0.9892593244078102,1.0928760680783554,1.0926758960577576,1.0648474871909965,1.0849635141978997,1.095942166663723,1.1060438690773722,1.146065098513654,1.1211455033416635,1.1534325810437667,1.1648911383419098,1.2152616626423514,1.1427137763050672,1.1545685923548894,1.1845303881530034,1.28357215553493,1.201391602547507,1.2774254561793479,1.3239960384907175,1.3946895992820003,1.426989747070447,1.3236091014548954,1.28959897749417,1.2163301271078149,1.1837214730044698,1.1661278058537936,1.107571785458089,1.182194155976026,1.1055259044946897,1.1829790899209656,1.1781844068174243,1.1165404314135494,1.125164309132081,1.114551629287936,1.1323571464324487,1.1601627145277622,1.1694302351656456,1.2608513727433686,1.2818440425601847,1.2257593305457741,1.2147725174638206,1.5210779913162344,1.6022771477854925,1.6131776676644483,1.3259229285081322,1.8882137615829588,1.8802041351164016,1.6680979018416449,2.233330698352813,2.039161221040039,1.5940588039461923,1.6495834003180347,1.6029231809567341,1.691422167855818,1.2651177163211669,1.6974155687171488,1.4632104719002372,1.4706202189504352,1.2593332951442835,1.3429712304502845,1.3267089432999162,1.3995278874653585,1.1850669939088427,1.3524710619442057,1.258332432500545,1.3578035196039098,1.3242328091147768,1.547039467506818,1.842711062955209,1.5023487681572796,1.5572838784503409,1.2748976704201442,1.5873087033875592,1.2330486015954516,1.2096323829734144,1.151218540668327,1.1530319705802865,1.1394798994096402,1.1656959198787245,1.3485993105315668,1.1630947070097177,1.1705159382577097,1.1230146873981852,1.1226174841824867,1.1816307571084401,1.1540343035303975,1.1169154649191855,1.160902031197807,1.2823747803282384,1.256118507328259,1.212070404904135,1.1943637341284543,1.2886057829479167,1.262488420968939,1.1268943599577128,1.122358410280618,1.2527257300629744,1.151994708045604,1.287132340330043,1.1227325250442226,1.2116695797280685,1.2036847556542463,1.1256504331594137,1.3096945463318403,1.0504466545587576,1.0606549974906827,1.2156323181904953,1.0441319308003791,1.0502493858097133,1.0609049011212792,1.0744142620299844,1.1229564563745997,1.157143179791036,1.2346673818136056,1.636556418308617,1.3862291163771046,1.2614877731449414,1.2844148288735686,1.2156405225582636,1.2639526220378565,1.1584650247596042,1.0912557296625098,1.099483869324374,1.0422424194951492,1.085561578618715,1.1342999314189166,1.2123669852987546,1.1092348781843293,1.1016801609780749,1.1330772757963459,1.197187579936257,1.1933026567056144,1.192354945492213,1.534435254549799,1.5950303035429438,2.109312091495088,1.400261052446721,2.2379628167837566,2.496750726835232,1.474355244100856,1.2573967520773242,1.1682575959270936,1.1171294358444115,1.1327790295438722,1.1162144943118661,1.0832877049307967,1.1159553720883861,1.1433669748074164,1.1865520811320265,1.4253070919448572,1.861598893701115,1.4875872265365744,1.217535191914052,1.118434499584419,1.1631323920598924,1.0877800733479692,1.1884424762010841,1.123416572550248,1.1303887984457996,1.2124412318435307,1.166608269064303,1.2209575475257792,1.364163762006266,1.3734654638255492,1.5693476349721749,1.7629660028609002,1.6379124450763383,1.4461094125553777,1.3042955516858032,1.2585130727628107,1.145989212742831,1.1118133365799323,1.1531639929594548,1.1419797593752312,1.2819214980876428,1.1587602520976594,1.135824052867788,1.155252767423731,1.1606449045241254,1.1928266458451358,1.1749930215354636,1.1711473882381744,1.218081329938002,1.2227102145197828,1.4297959941608167,1.9866415294862791,1.406776719757018,2.002676535590902,1.4160521378058673,1.3617500094744268,1.282772301652673,1.179926147152288,1.1916118955456712,1.275751170944101,1.1657579517300523,1.1889390171713843,1.1632756394819794,1.369896240960219,1.424420048685128,1.2431176996720479,1.3751397298750756,1.517088264646524,1.447836375990486,1.43939140182634,1.5425267335883903,1.7309901355214692,1.5324598245104324,1.5667362276459964,1.8077364245234209,1.7737845437583741,1.5309560579908623,1.7439694232573086,1.7235721452143027,1.9002106135814196,1.8093841430269575,1.709504172864543,1.884679104217146,1.9637942106509256,2.332270971412174,2.439462213151817,2.760878851483818,1.9257801678389876,1.873601499316622,1.7103459508126213,1.7044897015331941,1.7839725664735613,1.6012200169952102,1.6065915201325602,1.641788713511548,1.7288813455860357,1.4835325684992573,1.4543828908851173,1.5627913406639269,1.440733321224936,1.412078105212883,1.3186609712154684,1.3391895985087134,1.399704215504865,1.5223078728412356,1.5687150233473766,1.9029501265984106,1.5921884713599064,1.4937199711999085,1.7157936864292218,1.7112634995548868,1.558733323201758,1.6497588044838298,1.8504641983996097,1.847112120851316,1.7213974777128551,1.9469188397248254,2.0613669985560277,1.9727271262248818,2.0248939761700027,2.1506574747301377,2.013956322430193,1.9830771531622025,1.8411012509341276,1.8541657974691683,1.9222644328389522,1.7404724694130393,1.71414197602604,1.7657653149635695,1.729192359450332,1.5662696872011925,1.6670433133750207,1.7761551735784258,1.601668299557445,1.5493672540053531,1.6374444710467448,1.6452001164549614,1.6144369462685353,1.5072158368343243,1.5920988877600954,1.5478193270715346,1.9118518033893688,1.4459005128435463,1.453560636716331,1.3023663469636109,1.3070767609175875,1.2815459887021081,1.3373498825448475,1.4147989128959437,1.1995497852827366,1.046478183390273,1.132117098158091,1.3810185415301202,1.062322910671299,1.1434419353256697,1.348488202126105,1.3051289278864018,1.1243902903236986,1.277495353291496,1.377483296075558,1.1972952678589026,1.0785415270170797,1.2559196362120384,1.5330515878234607,2.372931636667865,3.520227864412163,3.700374495316868],[2.421199256545294,1.7742118644752956,1.5966823094828584,1.3272858692246254,1.3521292776838476,1.2325219591626595,1.2355095318744673,1.235974800701543,1.2552464306721336,1.3021438052162968,1.377382972631728,1.323329216975622,1.3352862081648627,1.3932929866795247,1.469781440018277,1.3902952980218346,1.421201279554473,1.4867666243262216,1.606025406127291,1.5263284782018607,1.6480626505958043,1.7003463826243586,1.7433957105170181,1.8197963103945602,1.5937229410081686,1.603789679598612,1.5140406714131642,1.464959014871039,1.428677163054051,1.3630353961885184,1.4748498777635888,1.360737410510319,1.4725054618972124,1.4732112565579067,1.3948268158959856,1.4228173931972794,1.3379135588141282,1.3745542716138746,1.3560637823474173,1.3334737538686676,1.5450553768928939,1.5388771672326769,1.5168425667879963,1.4461678992856803,1.6598151287737608,1.6608877384877196,1.7308400998633255,1.556740082348681,2.0445589297154774,1.9524071492488475,1.8748561751136823,2.3709416904299365,2.2063677269174806,1.7475201596284702,1.8669882862042495,1.7799378428914225,1.9090541648013268,1.5496508434091498,1.8806451467206449,1.740776443073051,1.7284772542909816,1.6022684532777784,1.4053372132173376,1.8131201964078045,1.8531581001992474,1.48650382619254,1.7369807593528697,1.643535373424286,1.7397560268732462,1.7174465989196983,1.8694962719061279,2.175866616434523,1.9117252356443484,1.9843449213643387,1.6979950024309105,2.012656219659627,1.658940330930184,1.6008714708947123,1.4815669894701244,1.5014029283488075,1.3752879255572183,1.381040600933587,1.5656204788849537,1.3223025819125462,1.3112884897197883,1.3031260324399052,1.3642564377243993,1.3865330272104484,1.4780999791942206,1.4571931486343597,1.564094932038626,1.6801462274364676,1.6290986477727314,1.5462067079243815,1.496546470340911,1.5944686467488747,1.5066890015133707,1.4081073399290291,1.3623873051298,1.4189321594667363,1.354965640019428,1.3711513619760862,1.2910435185333473,1.3709628013185193,1.3611640202242015,1.2975344450123036,1.4130530545784248,1.2860981984140205,1.3140004538605603,1.354479279248087,1.2435374267215507,1.204580382384339,1.2256941136312896,1.2530280235103346,1.3318506326903126,1.3289281079264101,1.4820759264407393,1.5958734573224063,1.5989816677201907,1.5555231366849545,1.5505824109511528,1.455896782633397,1.4488825536171908,1.3224081212037428,1.2726011644694817,1.2781466334955958,1.2194255033206058,1.2336211957132048,1.2611246396520042,1.2911008117816134,1.2864555112994391,1.3340956747459969,1.2549127647596956,1.3234610638185362,1.2513091031179628,1.2463594594911305,1.3579797386712427,1.5534456511584867,1.9591645486315472,1.4571476390875364,2.405631721997975,2.6161432740370523,1.603353153182687,1.4995493679737506,1.3974010528413194,1.3470029451079308,1.3240269652000733,1.3076036026183548,1.2468479960918653,1.2684513393125416,1.2962101114557858,1.3312712271487483,1.5875324988290274,2.0137390657263476,1.6396906978629753,1.369577693905575,1.3015468408142181,1.3160990629544793,1.2781447671220993,1.2784666754472056,1.2443203230228381,1.3039126629447122,1.3050443646269845,1.3000467450819244,1.2915065717892382,1.3821461034868059,1.3217919691054811,1.4405998982529191,1.5606415328877454,1.4718978731377306,1.3388070996260641,1.290070964126963,1.3059339258326512,1.2842227839009381,1.2583772633614647,1.2614061910916272,1.26548345050893,1.3392083208012742,1.2797558166881016,1.2943667605512812,1.281044236743967,1.2844685817865236,1.3160751975042482,1.2867318186774834,1.2440019808388982,1.3176773537477753,1.362541595204576,1.5419264408347966,2.0334145444722367,1.5271892736266997,1.8638135630800092,1.5025794446781018,1.3744570886754892,1.3400891909059194,1.322506780896753,1.3588680927782275,1.3528530484019399,1.3457069279187877,1.3889483428848945,1.3786501108765365,1.488787953006747,1.5064257025453747,1.3996222430187535,1.5062444346285293,1.6113045521597291,1.554979482996398,1.598734399474446,1.685642405798,1.8006636679198345,1.6504632739162035,1.7294470809794458,1.9096863842400695,1.8534962925592693,1.741685518907258,1.931485968646583,1.882258394259037,2.0448510508666375,1.9054822062089567,1.8463351955885694,2.0030249942859513,2.0711889746138112,2.5396144485356698,2.486764898795318,2.6925899269031457,1.9939588722811263,1.956089299173931,1.8254173606401087,1.8002240892936336,1.9348410383191286,1.7200293854726594,1.701721600602489,1.7288676829256024,1.8323457541962846,1.6076741193022224,1.569838793835807,1.7318496359657265,1.6230460586324522,1.597794961898415,1.5073225240638164,1.451283221556982,1.4892960174157044,1.574616548130374,1.5987977557258772,1.9092884433588664,1.6388397290374568,1.5844510249295347,1.7690438351768263,1.7293526676684785,1.5975408169150829,1.7128768494756148,1.8933082462142228,1.8885664471883776,1.7775930576074621,1.9832145318876615,2.093231210315448,2.0191543058287524,2.076543499247389,2.2136267238871903,2.075649234223071,2.0340016480844283,1.8761057864167887,1.9151626149734844,2.0106085414360626,1.8287733064176674,1.7833038360220144,1.858743927914809,1.8325629464604207,1.6810649583457882,1.768812702090634,1.849036050816307,1.7466710695527325,1.706432789141904,1.7573150954575099,1.8879165740214672,1.7801294469924842,1.745647419428849,1.851636119120679,1.8761405155626814,2.217387505548824,1.8161711625292305,1.6866802948098476,1.5885069781903371,1.8045309543781138,1.7850270994684354,1.8701772284777938,1.9461700609284667,1.5744276507986068,1.5059775302026386,1.3708443280970144,1.3851240734124728,1.3756568319198164,1.3309756038079301,1.4408999152755886,1.4514104048995764,1.2859347917522803,1.4367956938298847,1.3958169928002584,1.409801447604218,1.2465896709929831,1.366482748882638,1.6424250547046808,2.3774534818119846,3.439092408870201,3.681639601862522],[1.9410588921570096,1.2167706357765635,1.0457163411824255,0.850879718215186,0.8694011333977193,0.7477230445305592,0.6796141054806344,0.7266418209922704,0.6725518060943647,0.643958164413436,0.6544007933372128,0.6816189478922277,0.6633264282402567,0.6659055147353486,0.8072579242415192,0.7386242994697065,0.7939554616751161,0.9030550367070962,1.0331169623871599,0.9266018477633178,1.097442676309842,1.116197343381868,1.1869867986651828,1.409516576385536,1.0300227104961646,1.0684037574252971,0.9332171060963366,0.8589607061630118,0.7865696014749426,0.7281927014135995,0.8718980017710881,0.786176818817737,0.8781513424623838,0.8784433386356078,0.7762939517520794,0.8094263997769442,0.755968656104619,0.7758487727343327,0.7606021484354775,0.7384500704268793,1.0253287979052093,0.913876453657099,0.8608993953047331,0.8749460754597865,1.0375183343736498,1.3303788702627484,1.190078590207434,1.2246138157908437,2.082425182493189,1.9772287998030744,1.7681021998087048,2.1905168944786353,1.8690813062563973,1.3060735019092,1.4441762402640719,1.2133424944195688,1.2424784925283168,0.9404252347932718,1.371875129964993,1.0020150347164218,1.0639816693848603,1.0936684100548433,1.2772550164168668,1.3893940183009894,1.1589181265505035,0.9105305108613697,1.2467578639454284,1.0585407250790393,1.2416498180643951,1.1660033880326315,1.46058033556379,1.8152354319518986,1.4305585370687366,1.477541423360161,1.1455844619412927,1.6507372791866812,1.0544642169300842,1.0048051281818817,0.899716281307136,0.9102640858544275,0.8058696917798621,0.8367463178223411,1.1522757827046097,0.8558344332048557,0.8022910827534669,0.7562797907819814,0.7517708636442298,0.8055044272994628,0.8454035833242848,0.8967634403673093,0.9675304062037764,1.1104329553366876,1.046186526309775,0.9470567495819648,0.874066300319365,0.9883676899228797,0.914107849640539,0.8117471055164148,0.80842106132938,1.073994323761049,0.8344351731885534,1.0035160709452913,0.8040168032905749,0.9017834910735091,0.9200858444758392,0.8841793682024792,1.132672514018986,0.8843582503322119,0.8991625911130806,1.031834316480932,0.8300358494259659,0.7256597608933272,0.6819494799965626,0.6941108452054716,0.7364835490075408,0.7729287193613735,0.9089380820284115,0.9411614937371461,0.9923364633561059,0.976591559724503,0.9478743566457425,0.8709885977711141,0.8610426988526406,0.7179156545133989,0.7124853796089756,0.833847233260552,0.7269659995899518,0.7751770158700818,0.80137654941262,0.879344036480601,0.832348887808151,0.8757316000169055,0.8094789759069123,0.8857544587409327,0.7817773641188281,0.7518006916884534,1.0909485624332107,1.190986596650453,1.5515388330335769,1.00692248511305,2.283769437571936,2.427493839168254,1.167427864474174,1.0284382622531334,0.8299235759779322,0.7483380837054083,0.7409483134952192,0.6928107508018847,0.6825324374642937,0.7024864265459545,0.8198715424849456,0.8456030225362168,1.1941866509411536,1.7654382688581085,1.2822266067783743,0.9436426881953636,0.7684266878944228,0.8409560698846658,0.7279130132219773,0.8015397879629618,0.7154380256417199,0.7133263302033249,0.7209174395373237,0.7064499909696328,0.7218542834704874,0.9067205795357066,0.8437093817287932,1.0445859212973725,1.2620636137803445,1.1393893051372908,0.9226668847321294,0.7952280382461104,0.7628890071595236,0.7243464962496855,0.7109386077423533,0.7701347286891819,0.7469408954061731,0.9317008490591114,0.7715299891592144,0.7822343492037742,0.7397270931595641,0.7813946348874553,0.8100506180578299,0.7806651443882393,0.7336589281931117,0.830829213638189,0.8683194347936527,1.0941375674820741,1.8347170566817834,1.2593027156179104,1.4911442093922251,1.2298850514097295,1.0157432185312756,0.9442049786131897,0.8624594982940826,0.9167215977398041,0.9857888112491321,0.9675020596465096,1.0197525444161046,0.989423807487361,1.2587233271457203,1.2970000022321948,1.0776678370928952,1.2543472873359147,1.4686623248316162,1.3441550129756914,1.3617911788708692,1.508526774010949,1.7404071326365136,1.455055707923056,1.529543729135659,1.8463517620950818,1.7617073032816681,1.4926503754952198,1.7709406289526881,1.7189208860019796,2.0289819891366814,1.8679192209769857,1.7485246155041572,2.0132418163361883,2.1164188976819354,2.5605552185432074,2.609880634159741,2.9053831193354256,2.0481029010917498,1.993744060219506,1.7668881402238217,1.7512854490123668,1.8935236336685553,1.5960210671955153,1.5698760960604403,1.6438958164649753,1.7139226287080656,1.3943286987980177,1.3649037105320276,1.5107668295147503,1.383496997069358,1.2746017659894497,1.210788287050632,1.1717047802524354,1.2774665346861545,1.4591244690277165,1.503904740270547,1.983279720768051,1.5337596293729807,1.414568225614431,1.7639668552978287,1.7439979785749702,1.4907015496491842,1.632667207735681,1.9043215189613965,1.8628923861936673,1.713979399073555,2.046953080894654,2.190394923247278,2.0230887503578416,2.153936722171481,2.3692402187170587,2.180172945298733,2.150074433927437,1.919127290098533,1.9835735059896107,2.0983574443125517,1.794959555921097,1.7527106518167925,1.8593607576345081,1.7897481990368895,1.547817281264265,1.7037281799623347,1.809725457602073,1.5839196477981405,1.5276260836010598,1.6613117539823248,1.6701245680383339,1.5920802764464481,1.4803445391918924,1.5729351998890835,1.541669387509157,1.9685181780712833,1.4127716387281462,1.3988506307854964,1.211453344904577,1.297312098203184,1.2631550040844586,1.346854956035858,1.427138886737555,1.1188381589764724,0.9744677323943534,0.9525388065242929,1.100581463974268,0.9280325615669044,0.9742534427647515,1.201444683667792,1.11154165444223,0.9144086327666747,1.1136004225865568,1.1912704580040205,1.0501867892350676,0.8230477825728574,1.1681172931894985,1.187677139820519,2.0944170129919706,3.3095738582288066,3.562667356383725],[1.906794351692934,1.0020933242620387,0.9620719208413349,0.7325114366321971,0.6977542029293172,0.7164807471933232,0.686122485275901,0.7574753148929202,0.7081817424467952,0.6998420580669871,0.7231317390840105,0.792573861503737,0.7345500797274638,0.7280851806829114,0.8879169695192954,0.8222765679935226,0.8449183773930514,0.9422769378524494,1.012798633576315,0.9395745133271911,1.0511842205971564,1.062019875705094,1.0966314256004701,1.2911077897947127,0.9830899496007681,1.020989054936189,0.9083826339191524,0.8280432279004101,0.8234024017489502,0.8105348855713636,0.9389758840015783,0.8973097329246189,0.9786773940268219,0.9792646502687066,0.8923678541885388,0.8847741316111825,0.8672268992882154,0.8472023431205189,0.8190048076156542,0.7944660482744604,1.0749805053152326,0.9361413950181963,0.8888433943370888,0.9167883196684878,1.038313265902816,1.3232484917527223,1.2086175648795097,1.1903234611071556,2.0680142704809485,1.9898275720565832,1.7490434081008222,2.118620139788657,1.830954983681897,1.2781640650061477,1.4697167408588285,1.2462966565706646,1.2002416394364397,0.9720898188661428,1.4852612520477848,1.0483798199268521,1.0786696674105523,1.1698236022994142,1.4828094483698637,1.4076447788524928,1.0645063819019858,0.9689325001060233,1.2189904569540542,1.085379005565043,1.247523651966522,1.193560806389358,1.4887125006314237,1.8619003493744937,1.4692388466392665,1.497159048885453,1.1765906867064824,1.632132674362744,1.0815930497026853,1.0620666438282556,0.9723269432096094,0.949590318403708,0.9010538357991457,0.9323567344367976,1.2015040876992853,0.9227826889179673,0.8573316862000789,0.8475582035255278,0.8431002955458982,0.9334376736452389,0.8966332291747411,1.0134257429958486,1.0391540178715726,1.1377046253059309,1.1041126514447677,1.0280395369445345,0.9569561847073009,1.0591929456421096,1.0032026226261805,0.9341744064311824,0.936003909710779,1.15920640651988,0.9533080337720871,1.1237868100314456,0.9328046071251378,1.00334201909058,1.0098460544557748,0.9560012899604202,1.1949096111057043,0.9213165950690931,0.920266542320172,1.07908400946792,0.8800179708966805,0.7694397536957024,0.7156315043974749,0.6840991418807353,0.7376934082744406,0.7513886406726767,0.8539006239951461,1.0075947868359914,0.9557371932302355,0.9525919263028572,0.9141238328474296,0.8558561014291622,0.8124022955676132,0.7103578974233918,0.6978330538521662,0.7558644391072485,0.7489287129319575,0.7816803447811402,0.8522516274056613,0.943267037711789,0.8517311598487627,0.8815196033220072,0.850833002539135,0.9453033477854638,0.871366577649405,0.8117255100860228,1.2461853892158345,0.9982741803794721,1.5726252894824797,0.8167741455011578,2.003781250459768,2.059441304853821,1.0209410599309339,0.8996133276250169,0.7836454687858981,0.7835645644180298,0.750903280198648,0.747528366523299,0.746808964419579,0.7676171550322659,0.8872219543533442,0.9027545207991211,1.202128079324768,1.7541280901869545,1.302669881412962,1.0156880833702862,0.8752996959893468,0.9298702543432654,0.8345320303056694,0.8826990015488101,0.7809815247497403,0.7793601522708612,0.7572151448402688,0.7422031800893742,0.7551900127601499,0.8351078632261941,0.8858001802117698,1.0373791612510894,1.3127240802710547,1.1853699640184248,0.9900507387152867,0.7900949485596186,0.7963623061095252,0.7811704125832682,0.7930856817199132,0.8744652861765593,0.8541210885673578,1.0352755333791948,0.8712088184055701,0.8709508588100571,0.8162866024836029,0.8686587847140224,0.8724112213253356,0.8384144770109181,0.7775060996794566,0.8716905817828497,0.9164062057755276,1.0532872018558619,1.784963788196375,1.172126103152227,1.6049532726128988,1.2736290345667196,1.0721241708618183,0.9963404259736935,0.8471030824674713,0.8893725027327607,0.9973207361546268,1.0166441590985709,1.065371161123313,1.0269271203762933,1.333184575405751,1.3698411685562666,1.1340515296375544,1.3276260143063487,1.548576227914811,1.417958764457192,1.4675458991506514,1.5876079023480407,1.8214247037442624,1.5238991549261667,1.5997914148730923,1.9266611548599404,1.8354397846938895,1.57787326588863,1.8280248668554275,1.7897600070416328,2.105528587925166,1.968076165963205,1.8226604743809323,2.098451561356187,2.1882069812792135,2.6776798656852394,2.6516020841742005,2.9731415035557283,2.1289370566108023,2.0679005546973124,1.8515516671788421,1.8300471256080277,1.9737101596029683,1.674287150222079,1.6663349229959923,1.7152802612770568,1.7707859698418693,1.468121280924895,1.4590038281577768,1.5362811852023872,1.5011634702826635,1.3147461302110244,1.2690841261476289,1.2540495154829554,1.3541561236769017,1.540751759060756,1.5852575498739798,2.0749348627838957,1.6117050185989257,1.4803853801517202,1.8402996644912302,1.8189521325363478,1.5728057071197104,1.7189429468639357,1.979540192989957,1.9312939187462075,1.8001887096646927,2.123130115299205,2.2584963027390366,2.0940546950854095,2.235044956278164,2.448298087225342,2.263216977935107,2.22997641999148,2.0013352272775924,2.0697762495264773,2.1827560443896887,1.8819332502272428,1.8395127677035281,1.9491387030110263,1.879807684247821,1.6428180802638557,1.799946784520026,1.8831590197764412,1.6725400823466003,1.6320451703497225,1.7525285432366204,1.7344829990780262,1.6652253401065598,1.5105255602582328,1.572017447617019,1.5024213016438144,1.9907993061205906,1.3829421677873268,1.4565425153527218,1.216091549101587,1.1386857761040303,1.059178549688354,1.1175089259920719,1.1464256850804109,1.0704283309011953,0.8288755083535534,0.9653878166255344,1.2158985599241805,0.9302298825910861,1.024982870648381,1.2552043692118817,1.1496255437353082,0.9607673420672811,1.139597302458753,1.2413485718706343,1.0771929340481738,0.8513252517548019,1.1977110474309798,1.0280536117127923,1.9973532172316801,3.2285411232999404,3.4821368055836444],[2.075893646825671,1.2685403633671053,1.0375213719675112,0.8487061783791136,0.9014583218973203,0.6611507990312329,0.6166438846450691,0.601255423478283,0.6040378576599378,0.593156414547552,0.598521644569975,0.6107349885424674,0.6017760349689157,0.6299318520241296,0.7910159080890519,0.7195974958526107,0.7810261635847103,0.910004582285359,1.0323979780822354,0.9386476154160934,1.1059849392924899,1.1105712254849276,1.1732459155888098,1.4270531865337621,1.0180382184740988,1.069856228642512,0.9442146732646021,0.8718038467195892,0.7740311623860155,0.6908475556005377,0.8577166528314143,0.7452299823710645,0.8371876760487921,0.8614550983244489,0.7497713153549836,0.7940957366032271,0.715812645911243,0.7468747098776434,0.733419801253243,0.6998868718914759,1.0193352687759414,0.8909576570738055,0.8585298664517318,0.881430938767477,0.950081402577191,1.3253879267445916,1.1168696668572862,1.2628013941132523,2.2066104554028674,2.0329183734952196,1.8530817253934357,2.2636152607626703,1.9314218125805815,1.3850633876789813,1.4310401470180938,1.1618915937597967,1.213669271704627,0.9588376371962922,1.3050370261279423,0.9817235395598476,1.041434126799846,1.1126822604720719,1.286915273168546,1.4116602248811334,1.1447012960811611,0.9317752150706439,1.2663155831947472,1.0653106802737626,1.2490455844995612,1.1733288501103385,1.4629301018145555,1.8213133027854362,1.4292297348129914,1.4708062650238607,1.1476801089683895,1.6612010282807823,1.0701065050721645,1.0064873809681045,0.9054092070921698,0.9304144562432648,0.7891664209733954,0.7918450750671582,1.1334609818624848,0.8008681044214078,0.7165110325718058,0.6964345668203629,0.7306171066810725,0.7589600935073941,0.8570382272026619,0.8867337223941036,0.9695671384905521,1.1100415091001885,1.0437018235324802,0.9370003053250953,0.8620247637127557,0.9788458700823751,0.8952333437844845,0.7815400139591887,0.7378468032562725,0.9341340730599722,0.70794355955011,0.7920881876783696,0.6579686027863499,0.6984130045809195,0.7486194266559747,0.6996887625446936,0.930772186613014,0.7009230571919055,0.7215371518872138,0.8441731169187323,0.6512109309114413,0.6209863999277465,0.6057028568080363,0.684051555056161,0.7433708448019969,0.7655432433184437,0.9082925248092424,0.7922616141948451,0.9399972567736341,0.9877999825146743,0.9370783637642927,0.8670099422719806,0.8166400185876058,0.6828478325760383,0.7028161577482931,0.82148522448037,0.6203918453491926,0.6797200602295799,0.6292223724821575,0.6921023018306641,0.662484604934351,0.7072723410219484,0.6399384940237299,0.7352874851170053,0.6070959774146315,0.6144004222154879,0.8128092932201051,1.0614451337432318,1.4115255811633733,0.9862405246778884,2.4164672435785484,2.401932869989636,1.1586264903769266,1.067094033410112,0.8334366092981086,0.7337050015605474,0.7288099760779343,0.654923864566156,0.5990764219241355,0.6026603211111011,0.6278432382670672,0.6752672993149341,1.082284858382603,1.6492591483265369,1.1470853636921343,0.7785892068268763,0.6128627906243443,0.6327558952622697,0.6164633817141344,0.6384246071775549,0.6146439425459944,0.6472868725988364,0.6417449375545344,0.6366738570964985,0.6718317150215616,0.7773150553979151,0.6614605855400237,0.8408142255785563,1.013107808409621,0.9459298744337403,0.7061595238639019,0.6703364249068933,0.6222769905473232,0.6198201687249854,0.6020629730959957,0.6250416800883324,0.6362837512215449,0.763899396137899,0.6498512213916715,0.656933574942232,0.6049908479672846,0.62697773678434,0.6519096034893594,0.6285302310479699,0.5970869320392302,0.70482516544934,0.7897682865439608,0.9952930208702186,1.7829327287597623,1.2199509158620094,1.4050770057863549,1.2358634815247174,0.9147282800584018,0.8161667410920971,0.7774676737607227,0.7750779289799407,0.8316871086942578,0.7381252534805451,0.7742629261801782,0.7616748757347047,0.910629619628667,0.9631817911980692,0.7986558763770659,0.9256149246067326,1.0955071973742716,1.0124611391171692,1.0835437595841793,1.1570540553266409,1.3662580349055995,1.1373175141637804,1.2274588904885597,1.5010668559101232,1.4406736138434932,1.2563625275688157,1.4813481158000588,1.4175054903751403,1.6624494910675147,1.492463340283106,1.3820311884437082,1.6041197066712238,1.6693062041662756,2.2451437340754063,2.1471789025267487,2.5304255693427318,1.6027094582839148,1.5398101807362157,1.3672644489026675,1.328125185444818,1.4188566592295093,1.1766758673726196,1.1731366247493742,1.2262834722935214,1.3869177816411264,1.0527186570912934,1.0227234073119984,1.1726409202133354,1.1276852600251437,1.0891239151293752,0.9213388681715021,0.8833947596289952,0.920338180484926,1.087814307136949,1.1399805477400768,1.5915181540534948,1.2093444285285837,1.068149741143926,1.3737256096528916,1.3973201721447666,1.1537554845812412,1.2803410442221375,1.5613205092668605,1.5536155856443017,1.395259646206532,1.6851103344846325,1.8493722507377883,1.7306370381451184,1.7889226870426798,1.9702846982147033,1.768297755288422,1.7229214257908203,1.5081242013329916,1.5464292325235443,1.6557870019392509,1.3931836213560949,1.3369930832754855,1.4287711931280693,1.3901416208751078,1.1714511811830735,1.2986660734816597,1.4472784311063047,1.2588198907877137,1.2030142304618066,1.3077911134285882,1.4238587397983016,1.31641107628108,1.2361081642143565,1.3505101058413505,1.4419903560620222,1.6565507646954802,1.292451222620674,1.142396309043381,1.0132528888316763,1.3772409601631044,1.3264306598795246,1.416336286531663,1.562652133229775,1.0092234864618295,0.9856289666996656,0.7557925245627959,0.8118915519846741,0.75072455004716,0.7171446697859689,0.917537505762982,0.9278069801758448,0.6762367194641903,0.8327091805297486,0.8837314068787772,0.8598367958185624,0.7048272522003938,0.8859837286698237,1.1372832080668993,2.116698463587778,3.0984757602574478,3.4804286734295458],[2.114802412045015,1.2654955757584119,1.0509655925376196,0.9816033148945547,0.9656889457708718,0.748801168487139,0.7525817889579896,0.7008379459691265,0.7207888077125371,0.7462048501225343,0.727678570544559,0.6765503952633611,0.7224349843337796,0.7890662728860094,0.9045914924977352,0.8272406170760387,0.9357580209270043,1.0799945826507382,1.240111597648277,1.1245795992237568,1.3297615994493823,1.320921447607923,1.4237662626934364,1.6889834148177028,1.2462688936669961,1.3007340109319285,1.1543602577654084,1.0838028854499824,0.9405309219196268,0.8095353547831189,0.9682549678816877,0.8182464440476827,0.8966584839163642,0.9443146829907408,0.8422986107546669,0.9204842434577046,0.8098940277619519,0.8846697359562229,0.8904252702088202,0.8499009322173154,1.1892642616369034,1.0595493169795713,1.0359023561959146,1.0446033400301544,1.0762038610873497,1.4340700315758714,1.1985501074276281,1.4077510515250067,2.3074469713557417,2.1061214926225285,1.9457593709209031,2.3268725763876636,1.9937083699459515,1.5226714306024838,1.5339758328127844,1.2328640559336999,1.299595810010478,1.121270938118103,1.3821818634523897,1.1032037333798466,1.1590862468118934,1.27212253340731,1.3478590357147133,1.6582000382061672,1.3800558645922538,1.1073466376899426,1.4872944786385363,1.2418160846945079,1.4640282426699287,1.363991884817136,1.6302396757799265,1.9855266650362013,1.6144377412864523,1.6611117232142263,1.3421906062979136,1.8385510771003286,1.2557172536136314,1.1384366616308668,1.0373877873975812,1.0732137429247546,0.8872473836496808,0.8878322803489856,1.2095575619001793,0.8980522691147668,0.8253149888426349,0.8088520819680322,0.8701328984655982,0.8516933731754686,0.9926405046822354,0.9938760125238519,1.10805382610483,1.2602484325750323,1.1512893664492272,1.0295889757832002,0.9459457695262965,1.0497154975815985,0.9749409279601869,0.8360395404770568,0.775853201968656,0.9957832355211612,0.7621212833698143,0.8730203602377634,0.7239321485733381,0.7815701222348311,0.8559364663057656,0.7976377616242193,1.0104711219813363,0.7945533448229769,0.8099313752999568,0.9298299847790685,0.7634654448818916,0.7370277228626859,0.7298496691368186,0.8364675484741861,0.9151594920630118,0.9783149004616936,1.1219661119691773,0.9889154013917554,1.1788509782201309,1.1990021783322105,1.1735437070568027,1.0902869271778874,1.0662072675806342,0.9120637625783441,0.8938320623284859,0.9989271283670257,0.7551215368214684,0.8076897120266228,0.7627271009236388,0.8141276954824541,0.7911989798001654,0.8152331139354624,0.7681242033664255,0.8419677601159623,0.7391767095086148,0.7553787389929619,0.9107547176787211,1.2067511016510761,1.4630912204441235,1.1784090925609008,2.6470674748681025,2.6428861245709467,1.3939031860052808,1.3019286972710042,1.0495637727468727,0.9078734350683957,0.9099911127449629,0.7991770574313408,0.7162516469241581,0.7035703268666615,0.7194737788769106,0.7489972574745853,1.1450504239215407,1.741849616612019,1.206091788850879,0.8556827795935035,0.6831971017037582,0.722054426510434,0.703346112540415,0.7295938293027249,0.7462162820128658,0.7883476706882846,0.8110424412632689,0.7991940978127533,0.8491717864842451,0.9923026177259769,0.8378784854876458,1.0263643759660832,1.1580467456452317,1.1022701469892848,0.8658209861813015,0.8520282022865661,0.7729695756671311,0.7568545247372968,0.7309115338734757,0.7098140282173382,0.7029768744242327,0.8110690833871764,0.7272237742232427,0.75462436849264,0.7295514217333592,0.7358784107555699,0.7664416097669696,0.7558640205411101,0.7496647740759765,0.8522603395646094,0.9252130067049099,1.1224410025369256,1.8664725704102558,1.356274479166986,1.5040446020557627,1.3057013924366416,1.049426927283473,0.9684388029089664,0.9157538652967635,0.9025970641997919,0.9521186321431635,0.8724005992646848,0.9053899166207628,0.8724561510223909,1.0755989644634094,1.128034948994463,0.9285164058844063,1.0827837216742786,1.2879588881793218,1.1846037856855127,1.2410512572416241,1.3362651873181681,1.5886704416949138,1.3060459766684174,1.3892267543921009,1.7075316464106642,1.6410170705214295,1.4010027461655699,1.63884594670667,1.5739058012888798,1.8780740041342654,1.6654720872578834,1.5572282717811385,1.83323873430141,1.912902071970552,2.4846203292414253,2.3975974588626623,2.764225646449932,1.8668549647093962,1.8136436662348736,1.6091886647714952,1.5617463484779741,1.6929614026673019,1.3887518281406452,1.3729201778641018,1.4119426835350568,1.5116435811271312,1.2044127247513166,1.174699535973886,1.2960151811148515,1.2504275128740745,1.195395881810244,1.0586179874258188,1.0107020832002944,1.0810878939920523,1.2671018610726459,1.335892480413643,1.8563582148369266,1.4214189698553195,1.2612486405408943,1.634650926028726,1.6604896398663895,1.3658074479764142,1.5046704560546236,1.8282311051743445,1.7971189827012635,1.619987088344718,1.9633026255621784,2.154366422392748,1.9778226132905714,2.0609238776058416,2.2914459531196707,2.055620740593811,2.0233104592075595,1.7732527797870552,1.827711583518322,1.9432079083963127,1.6253489935598047,1.568665502415365,1.6657098023239547,1.5999929977314649,1.3557523159591274,1.4985006351250874,1.596551003044669,1.4013792398534497,1.35024060977368,1.4560601500074721,1.5349581840155142,1.4281156918861444,1.344760470492999,1.4506705474697978,1.5184713805331895,1.8186202530408706,1.3784385176066292,1.2720274645467442,1.13222658566067,1.422841019337557,1.3866779117600665,1.4811461430288573,1.612777576970436,1.0856233680046112,1.0389222018754436,0.8796333323380028,0.9692947885060689,0.8441684048450729,0.8363585449218915,1.0619542729426807,1.0104974864878282,0.7990976759646606,0.9663744450270935,1.0432206520079212,0.9803764273118822,0.7514548538101433,1.0379299997202631,1.0497484128482706,2.0060181622819027,2.967971501607318,3.4275429559870503],[2.094192688818349,1.2281381987509887,1.1917208778271904,1.0424473692468303,0.9475576435731963,1.0298519795457604,0.9679521421936556,1.0205850382836261,0.9167406293202927,0.8498438114271641,0.8346521120886435,0.9083934567191121,0.8659636492439137,0.8012796183850751,0.9402727027183271,0.8876225831424165,0.9080922580179415,0.9852510540783619,1.0738087928415236,0.9992333672831276,1.1500824659714841,1.152848175737483,1.2072680464774992,1.4195227707516158,1.039658824427913,1.0896102677911481,0.9958600714019867,0.9357047002381775,0.891822033640174,0.8900746397446818,1.0064296434352729,0.9840912307281279,1.0523410605614747,1.0253425031265653,0.9571704125359667,0.9512790525768804,0.9660053946047577,0.9222511478617441,0.9193124782125864,0.9146694426688148,1.1368615994581017,0.9585430405961907,0.9352377074400208,0.9636006870425287,1.0676875305904479,1.3380708392672453,1.184875499267518,1.2571267567622721,2.08983799666496,1.9939689324904644,1.8139284081030462,2.210107073841481,1.973012135882867,1.43761864682245,1.603116269198322,1.3686818048863636,1.3178902531155405,1.0737918715349262,1.5320779331516299,1.172348960514412,1.1556412534797624,1.286583241390605,1.5269290663383848,1.5040103476962603,1.1542336877082793,1.0477917187780965,1.321283777746364,1.1403255495431894,1.3315303264835483,1.261627998915628,1.552144171258821,1.9606047020970794,1.5555755106800058,1.5722990523359273,1.264340429852583,1.7082081669082305,1.1769023153997187,1.1377096807306324,1.0489325632198034,1.0164543745203785,0.9916526903429853,1.0347983083282988,1.326435735558102,1.1058973221232684,1.0009204045133553,0.9605426126279903,0.9420171194876156,1.0402778482249002,0.9708664834575617,1.0668332139689163,1.10659904309661,1.204102146170574,1.1711113114709428,1.0845896102992534,1.0140487608258746,1.1040387983593214,1.0494907816165018,0.9971188402286285,1.0282280091669684,1.3073915579237092,1.1000856665746566,1.3385109999043194,1.1444431883804314,1.2504737804961787,1.2508045727345978,1.2433393699577986,1.4738483274302723,1.2922785729270236,1.3041828194320984,1.3889559015815756,1.216876903493525,1.0639928913455792,0.9841940879947344,0.9098875017157201,0.8911281538991016,0.8903785643870913,0.9422805573921076,1.0291806396895526,1.0208020608152266,1.0409356892523716,0.9963476933662246,0.9308826042237759,0.9003758708891924,0.855455477629536,0.8888986970017868,0.959382846923788,1.0501961874143466,1.0650070487191712,1.1862573614478706,1.2865275035996908,1.2124220760566942,1.2487643640241848,1.1946058818141227,1.2724272648115789,1.2011987221063256,1.118924341927307,1.5234509232610565,1.2267828076198464,1.6957946206519225,1.0092712478048111,2.1392878504690627,2.1522939614537755,1.1374577477610677,1.0160399376513476,0.9103677932638835,0.9106321607945992,0.8859604676736722,0.9227102849803328,0.9577121486145095,0.9844822303054442,1.149132960468245,1.1677569110640198,1.514618349238752,2.0010669591279777,1.4873734410460349,1.261964029849499,1.0722239272087546,1.1626999174651695,1.0152442581524506,1.1382486819330344,1.0095721082601912,0.9633966624190828,0.9558740119695804,0.9244348685554148,0.9733846685256272,1.0322815710776545,1.1240116068096329,1.2576664766112355,1.5461507930299978,1.4110304787592682,1.2578482602535643,1.0315446881234789,1.0308427812857763,1.0263918365605245,1.0084671855017022,1.0601269441025603,0.9747328631581957,1.1581160251008775,1.038497480068934,1.0771620382775335,1.0339961292682927,1.1478864439880614,1.1622321915948848,1.1198507635021575,1.0401087064633876,1.0380593920563317,1.0153090667180535,1.176565828538252,1.773006631416025,1.251672429027467,1.7892810886226584,1.4664745886098283,1.3482941797764465,1.3061251303880088,1.2111759435077536,1.261966003741052,1.3624547475464714,1.4110983252686455,1.4813901889730725,1.434167500033945,1.77918254531526,1.8084471620213463,1.5517159090994268,1.7592260157297392,2.017956230096545,1.8663322863956051,1.863291831400446,2.037890845134434,2.3033500899110093,1.953778792161573,2.042215551404415,2.4029535314281425,2.284150630046135,2.012845214202365,2.265525120369634,2.212972647271533,2.5969006574398574,2.3903849002405835,2.288340030870028,2.6069946227671172,2.6974676508299895,3.220279228721573,3.154848514217836,3.4483324125079684,2.6509639184709326,2.5819862038296586,2.3441916857629574,2.335115280985724,2.4868667396942725,2.164356970581533,2.158479998746949,2.198473487073311,2.1871416791743896,1.9268889509103675,1.9130194518303802,1.9276464396324982,1.9122088355585167,1.6686738095682339,1.6872221783252717,1.685907080800559,1.8192230801955043,2.03048876859865,2.075232004764643,2.585617867563679,2.0933376762582467,1.9573143818719057,2.355488206296855,2.353706171451702,2.0331170946872525,2.1948726189355328,2.4935858901937107,2.419768601765301,2.297507913312548,2.6589068712516015,2.79632172320893,2.5894371345657183,2.7550779224945314,3.0108010604912985,2.8040186797172275,2.783794211896919,2.5318534640056525,2.615591114914074,2.7427409690691147,2.3878867241669,2.3627896689982517,2.470668220233892,2.387959329941798,2.1213789940159846,2.295574662770993,2.345405683804291,2.1109400436524255,2.0655003369972658,2.20891821372841,2.1588641286724717,2.0500013502830057,1.8571411656509074,1.9033922307298168,1.8068083238384272,2.3434688957820855,1.7055068231215946,1.8464937080293038,1.6063765693153156,1.432514665902644,1.3626392455211926,1.4082569752670895,1.3902834167543723,1.459224236385828,1.1665941695650592,1.362497546996903,1.5331619970427122,1.2520065587914333,1.4342265901759748,1.7085509633079201,1.5465304814008698,1.3461910049233543,1.5440342489704197,1.6528852121052668,1.3767185495745942,1.2126165187867888,1.5555172815734064,1.1895079341584118,1.991165012895293,3.072086299730669,3.5045240709555765],[1.9061744392840196,0.8856766898677507,0.8439856906081478,0.7816437621810632,0.6983411634792908,0.7563767806407519,0.7353508457917154,0.8066166265249413,0.750367982648368,0.7228506826708176,0.7670898816839076,0.7794233464041733,0.7537653386278952,0.7237202830068002,0.9053766920152503,0.8318886765442243,0.7968135363451079,0.9399469221042132,1.0239915834365871,0.9541206911090139,1.0882249863143776,1.0917784813003553,1.1559085965554456,1.3536853561010063,0.9585032056477121,1.0252025462070702,0.9171158443057731,0.8517159928611641,0.80626840055837,0.7994790358825092,0.9601738659342821,0.8947109909742799,0.9772413959784294,0.9896556353538337,0.896450663256128,0.8904993823258822,0.8698331192770469,0.8133293266966667,0.7834864869190268,0.785388018733534,0.9960006137459331,0.8465891497618102,0.8375998405583014,0.8980772259979253,0.9259197757059554,1.2668540977830904,1.0855893931541833,1.2359081464439892,2.146143226862694,2.0436180427199155,1.8246199199612845,2.19514134716396,1.9233876448397527,1.3923012652817865,1.5430341814808204,1.2627512074018732,1.2077606098341338,1.0385895223585762,1.5040044564515644,1.104287943355689,1.0793042051621908,1.234180213090918,1.530999703648653,1.444343249360003,1.0584355515664132,0.9809287399663157,1.2806809087620576,1.108284947692071,1.3020183721778935,1.2477276873461478,1.5256422726111454,1.9400029101561593,1.5321461630178428,1.5144861317621174,1.2490927260001936,1.652713056383451,1.1422817374824912,1.1009112446037883,1.0129927336076217,0.9879603851116351,0.9126505971141277,0.9445364184283547,1.241947407641993,0.9841664857066489,0.8583231089014842,0.8705952136037226,0.8567617288883705,0.9289082448218702,0.9276188377083243,1.0160504852580685,1.0800719745637652,1.1935342370625768,1.155326243512633,1.0666000574448316,0.975654146765644,1.0809834953909099,1.0278725534856397,0.9161645280916879,0.906263599974331,1.1557071804271213,0.933960877787354,1.1115061503368953,0.9425628200257816,1.0346897641466974,1.052977505555975,0.9864809340889763,1.2483297894966232,0.9817293347993385,0.9714152304934044,1.1617746719995141,0.9274539687602519,0.8075265931154485,0.7498107165688892,0.7076221196787714,0.73618542020077,0.7519542549605848,0.8807761335374787,0.8279882513388865,0.9022465440274732,0.9525972450030926,0.9096433973615038,0.8828213917004504,0.7961596304217544,0.711085302334165,0.7047157951789818,0.786145779369751,0.7718282922786657,0.8069193934061556,0.8851480240519064,1.0124755493766249,0.9160659202586816,0.9634734019296385,0.9126210392539686,1.041430273604917,0.913366649092151,0.8462847144042592,1.2029573438827872,1.011109804887474,1.5281277890690501,0.8519656115291614,2.216566315474504,2.0771372022215457,0.998130526563673,0.9337692449766957,0.786011766357549,0.76982151096664,0.7346653742474901,0.7223470941759674,0.7605993959500746,0.7828109812304344,0.9315255792989748,0.9605488072527216,1.3523037849082316,1.8544562235108604,1.3262685877893705,1.0720604543741143,0.8773286969745328,0.955629118334329,0.8280964877439877,0.9200159577969386,0.7872180573075943,0.7666128671619126,0.7205612628670663,0.7408732768686246,0.7304889620932039,0.7880196623383289,0.8242937840308159,0.9372895230185667,1.214618441659285,1.110898525754219,0.9425034691834618,0.7753723688449835,0.783481407419182,0.7946895145445144,0.8042733357028777,0.8742415104389192,0.8305503444016297,1.0228411808239712,0.8744038130960192,0.9126330244423138,0.8150027841742638,0.9111264408400067,0.9149241174064622,0.862826505376369,0.7879274662859914,0.8212584463493972,0.8368899039332639,0.9586178880645075,1.674398444010513,1.1258468456959505,1.6274413161165442,1.2427485558521132,1.0871114757431892,1.0335017296021467,0.9456627226063963,0.9522049375140581,1.0610304633673489,1.0765844295128482,1.1338756367942313,1.1027391575554026,1.4259577627003035,1.4760863801404738,1.2105927492951343,1.4091623801166677,1.6629074799480867,1.5253626963554543,1.5399526563799077,1.681817504038828,1.9679083610446455,1.6238288266975982,1.6973076636166893,2.0638091464772232,1.9708117126651012,1.7184220128344303,1.927734659408861,1.8530144974005245,2.2385962843690264,2.016662888100438,1.9127036945523959,2.2186630719580784,2.311441916246674,2.881441906940112,2.7757675405814455,3.0932898000391833,2.268751155335645,2.2053166050770114,1.9864187344290607,1.9638246730553177,2.0956881542722354,1.7811550482239704,1.7822977078722426,1.8001665163577099,1.8223457721707772,1.5536822588122619,1.5439879781003545,1.5822924660939446,1.5761526626109572,1.3592292738861098,1.3443864874509035,1.3315958553630725,1.4658740312015182,1.6724457951490739,1.7297672997689373,2.22370849541884,1.765515730531542,1.6123588950981969,1.9963655126520687,1.9977845630960878,1.7124213125807637,1.8658552070904137,2.178044929300704,2.1264328135876265,1.9778346264782662,2.3317307451041533,2.501159229634321,2.3097159876105784,2.4303129501421536,2.663032742197591,2.4464507950135315,2.4221608386905666,2.1797787716451262,2.2456977437620385,2.3507243321356754,2.0230878335827356,1.991644052989444,2.0841913341724916,2.0017080027035754,1.7425563364065733,1.9160067669524476,1.9666884572630403,1.7433398698022236,1.6998111935124454,1.8327797539409547,1.7779882132837912,1.6921313202239503,1.5125193816007958,1.554373901854511,1.5071780718011776,1.9677421761709275,1.4249394154289858,1.4972381318821013,1.2553381222125821,1.2577442411804838,1.175875071631763,1.222970145702216,1.2442468527216368,1.1270588252815397,0.8604498055799511,1.0188150939609832,1.1975773668588934,0.8992061222475359,1.0935680560570165,1.369017377386561,1.2715440259164568,1.0086918746432993,1.1878484388394044,1.303824664591652,1.0982107639220058,0.8980181946201623,1.2329421001138086,0.9462888246709398,1.9146705431399433,2.875424425154046,3.397702436184188],[1.8496051057519987,0.8134153415440409,0.7367410729208482,0.5677628663947887,0.6813745138501442,0.6127102440612713,0.5155363876434393,0.5794625461772871,0.51716799695153,0.5144246317133148,0.5652086044544417,0.6107976900080936,0.5610527594614438,0.5955231012689338,0.8512501786074714,0.7294210876305712,0.7514939141915415,0.9517746254348631,1.0757293790165052,0.9795587885558779,1.1644048010239474,1.1641624267584616,1.2523297623861886,1.4715712578064304,1.0115031204451161,1.0717834794861076,0.9102140026485926,0.81599538036929,0.7631835724238255,0.6836841964909232,0.9128377561574303,0.7680490580144729,0.9093156586913304,0.9350188944792356,0.8016862998870037,0.8174712541657827,0.7309992600891786,0.7327391732588763,0.6808780500456321,0.6559300784447439,0.9595076073889439,0.8706717301198661,0.8412426468958721,0.8751002932963944,0.8538944519645425,1.2044564289118702,1.031171368591398,1.2628083134052601,2.177594014239543,2.004915456808996,1.8877741693927104,2.237946690709006,1.9821793879263596,1.5138224840648553,1.5590054951703096,1.2066884505669964,1.174914909196778,1.0723154192487605,1.353369776144533,1.002541960259852,1.0500219495581147,1.2187305426005006,1.347954691472939,1.5606486467698053,1.2081114741673857,0.97192578800667,1.3845727984531602,1.1815563163444698,1.4072669062055743,1.3206049129233615,1.5845694194401365,2.0612379499763467,1.643535478017597,1.6367961260013864,1.3191658752545903,1.756999395682018,1.2052496267653183,1.1286394908798671,0.9882777154352247,0.9960741304139838,0.8390303059105275,0.8405971200939094,1.191822682416043,0.8375790473643573,0.6807977575336631,0.725544382246684,0.7451674212470031,0.8185506817613832,0.8956830593927121,0.9636304004120272,1.0845793363353733,1.2229879202525253,1.1705589202999673,1.0375287291741386,0.9239773078340218,1.052639351031012,0.9749627393529436,0.810444720714655,0.7590970555286146,1.0418854585476445,0.7812807289953828,0.9636121861599396,0.760096880406635,0.8580829122614637,0.8702490845313325,0.7513758591712776,1.0844344178626772,0.731831162016587,0.7473513308030499,0.9551624504159977,0.6852073437571847,0.588917516402255,0.5311657450559013,0.5628085487361146,0.6325142270850629,0.6541378054244558,0.8410970886680099,0.7455368115443582,0.9404362465037558,0.97563114830303,0.9188375631834631,0.8461999507902526,0.7405564842817255,0.5823364382120577,0.5560430989124114,0.6282892740371265,0.5804647018486377,0.5973009441385869,0.6436415676667299,0.76167486664,0.6942942676034075,0.7245143324440202,0.6843890034518776,0.8189684378227177,0.689600812646588,0.6409989142071538,1.0618552425885712,1.0092976628248502,1.6284320015877034,0.7992996705524623,2.2826206451868822,2.0114295459910183,0.9948135950749099,0.9445204387095719,0.7273819660865228,0.6757469195122704,0.6249601810357874,0.5838167425524192,0.553783442498309,0.5895095233111769,0.7363035889211343,0.8182762809649967,1.3393150043289395,1.8042987053103468,1.2279834784121038,0.9562935850987005,0.6934739737244706,0.7621169965766869,0.6293929441532626,0.7216370618516168,0.5687127189306299,0.6024722315755174,0.5438334203839322,0.5597423780288762,0.5833448267729708,0.6991364612404712,0.6489552169531364,0.7604189458718605,1.0136508095576888,0.9584001182923325,0.7585316568726224,0.6177027799223921,0.5975059773086658,0.5780814609815627,0.577121621499859,0.6638819516057184,0.6410730902401574,0.8813279848838933,0.6686562445439134,0.7309653230545297,0.5822397729279697,0.6702279624243082,0.6798868628515911,0.6322328053520114,0.5818258678535435,0.6533990244603973,0.6902830028542399,0.8197467581045127,1.5573535066134554,0.9515808685882459,1.612282777270835,1.1219181122506232,0.8707732600876208,0.7909098556825506,0.7451303799675533,0.7642686435854904,0.8836839764454263,0.8508397605984915,0.9369297369688918,0.8951614727427937,1.2501339480180478,1.3254188625678438,1.0317761053462737,1.2357841805048522,1.5192490465724418,1.3900826411751195,1.3726433630920383,1.5355215786818235,1.858592093046798,1.4996267774291852,1.5718131532635822,1.9596942766181735,1.878643910729766,1.6232110259682904,1.8296033550109871,1.7325159497428597,2.1536660659309135,1.870388966460781,1.7768355860086724,2.099159588647599,2.1683443565854152,2.811820393438415,2.65146459581183,3.046230243462885,2.152830065161002,2.0691782618341668,1.8320938047291497,1.8183190056911682,1.9073027484784122,1.6035633397282676,1.6038207280488646,1.6217824936667224,1.6634991776984696,1.3622241046597003,1.361853627502153,1.3694150799224867,1.3826231627869712,1.2033054292467518,1.1562734083202566,1.155233079461471,1.295558258312206,1.5333095545229642,1.6051361041646501,2.1089000612792486,1.680120810085099,1.4789593104292842,1.8922286248168145,1.9285864298767577,1.60161300493332,1.7697591910821684,2.126783613640094,2.0874296023445207,1.9050869993355843,2.2746807523360495,2.4729291001966827,2.2749585508014287,2.366382137049895,2.6055792751117064,2.3574730436425333,2.3359274467257083,2.080936500386057,2.1408417451599893,2.240391849237631,1.8979975325414635,1.8574147024927763,1.9504009200368417,1.8666897682712322,1.5778671057868305,1.7518761621690926,1.8233562343091312,1.5754231980989968,1.5133508457113949,1.662882934074179,1.6214539984381835,1.528068484763849,1.3390826365144666,1.4074842782519517,1.3925335721244791,1.7870672507403351,1.3112779700441644,1.332437339971145,1.1024775377584104,1.2027926265287212,1.0974465047246438,1.1396154222117048,1.218433871908742,0.9400207410734145,0.7308256772338108,0.8137664167743311,0.9789859285929446,0.7025646080316896,0.9329379854603598,1.2630924289186256,1.2111774010122232,0.8290126463098294,1.03335299881115,1.1559950442036624,0.8613696557094764,0.8387761067431257,0.9923536670251251,0.7962064338691286,1.8605105458793978,2.601450836478271,3.431619277342394],[1.7442327543622285,0.6873274977068311,0.6401872123418578,0.4310668705826135,0.5900369662216446,0.5502377067443492,0.4092341797800267,0.5045805972962728,0.4082954116411885,0.4000812270806197,0.47309617464636483,0.5567511132966635,0.47060930362306574,0.5140934538555174,0.7731222325083861,0.6503910248253655,0.7008875587803477,0.9075137456524248,1.0501552592542593,0.9479717864046439,1.1575223736795812,1.1464093856030337,1.2463639436191483,1.4777664241063848,1.0036287515509714,1.0567581310681444,0.8825856817575769,0.7705640646334251,0.720978477245723,0.6219314863753657,0.8675717219102386,0.7110608110779232,0.8705022798253969,0.8892084644289052,0.755774705692814,0.7747262644850875,0.6789393791248374,0.6896833568772772,0.639668448873168,0.6239414755551614,0.9079932798005355,0.8446861590520441,0.821394633934541,0.8556143366939142,0.8343647845731432,1.1677953809823958,1.0005461348389242,1.2211984168323107,2.1398557570635464,1.9105354880215644,1.8390535699974624,2.200319538078519,1.9390467541296397,1.5419611247382865,1.5279798755639376,1.1380939540398671,1.1544318592312592,1.063300556658702,1.286897734621421,0.9795569201255054,1.0567209109520717,1.212603759964722,1.3142489118782998,1.573853318502354,1.218622012679314,0.9642743103297349,1.3769338204005408,1.1543238330130847,1.3892399686500503,1.2902795164582057,1.5641365289155078,2.058031984729247,1.619555392994224,1.6350397898164681,1.2886705982788533,1.7524769192252745,1.1839753564823288,1.1026330935914528,0.9535109063670022,0.9719756175872508,0.8050514293194011,0.800786445078286,1.1892774302723923,0.7926905795256984,0.6201509701841653,0.6712442423871732,0.7021573047874172,0.7766003388162964,0.8607312687784446,0.930206175544978,1.0512378126526885,1.1966313779191868,1.1281634905462627,0.9892186455555846,0.8696410576303343,0.994289255371594,0.9096328704230043,0.7583776089366135,0.7000807248850239,1.0389660051852108,0.7525053624251208,0.9436842887960118,0.7227776191441323,0.8359404727549985,0.8433417578105928,0.7178645316710341,1.0356970739882152,0.621863817636488,0.6411009450196834,0.9347524135647601,0.6085715329172641,0.49117064209237704,0.4279980760904749,0.4586892084382546,0.5446224184308052,0.5708152396351625,0.7671422667454476,0.7080004457965106,0.9141050722001017,0.955576163182553,0.8835166457997035,0.7909927173586528,0.6705074442402262,0.4758396413223409,0.4423492272808791,0.51116946287145,0.4994226632004954,0.4912659818907042,0.5473870194702409,0.6612336577894491,0.5996207096276172,0.6321383267317936,0.5911497283667548,0.7365925818529909,0.6144830456705811,0.5586160482606387,1.0082867656075163,0.9589773520784878,1.6189431402021517,0.7136236354634954,2.272541804151174,1.934820574353249,0.9319236410124684,0.884126607901079,0.66872632986552,0.6182365143132169,0.5495353463527802,0.5085682844485891,0.4648089610666468,0.5039007392739099,0.6947338326295285,0.8105274229230638,1.351572712066846,1.8619892671625804,1.280423580995398,0.9634268325566303,0.6611057888516649,0.7406124019284545,0.5836841532625987,0.672766580716225,0.4883592676845268,0.5395352947442086,0.4746826027750613,0.4931808758424421,0.5371143081487755,0.6436744147019,0.5624009101481819,0.6780076573325063,0.9097467193383583,0.8910070313282211,0.6630068454724104,0.5307254563388649,0.5083699568667347,0.4896244178727685,0.49309722390078187,0.615118321033894,0.5857849879589143,0.8350402747012429,0.6051417351887688,0.6531152869543024,0.5007367657244015,0.6135885167338615,0.6149320561877863,0.5521799707012445,0.501989511427167,0.606315883179391,0.6518789243479287,0.8141645894998786,1.5681035848920424,0.9297807240188597,1.6004283908004073,1.1416840809961772,0.808820432591024,0.6961293098970912,0.6530120630040189,0.6535319719243879,0.8180171070667278,0.7356928088240382,0.8255445883229448,0.8039438320330256,1.1544778807550051,1.2488592361481519,0.9636155058866855,1.1616321554452147,1.4497836248476024,1.350753184119414,1.3272667698505582,1.470753732786266,1.817044154686056,1.4792745537216367,1.5316534769363992,1.9194013651345705,1.881095078029389,1.6303614378281401,1.7892729809126116,1.692829727453905,2.0829452949728875,1.764866806345152,1.6825521274137456,2.0052412546119385,2.049993606745527,2.7383862431966346,2.507979042275327,2.9409981276922976,2.0393981430113093,1.959684747802942,1.746918542976535,1.7161513812476212,1.7889914266506475,1.4990787251004511,1.4989715666486905,1.5001194853724087,1.553254724000419,1.2358362543114592,1.237200616438618,1.2634907700385036,1.3031284863169343,1.127787651184063,1.0457334489179146,1.0532826640804955,1.1937061669448654,1.4555408517349628,1.535818734221684,2.004835200219392,1.6374349320253285,1.419485759766597,1.8375415386144378,1.9134661994167987,1.5678329433368825,1.7284769146916072,2.1015895393471045,2.0860108819001084,1.8938968947147712,2.2360531130714416,2.450552265895943,2.280331103110287,2.3342196921288054,2.55177664127673,2.290019231434221,2.2613806338432956,2.0063972445318004,2.048790567183645,2.146755367869981,1.822120881421628,1.7658791625534318,1.8472295535504726,1.7717985862579226,1.4845586484160502,1.6376473411755437,1.7174694511246151,1.4746450043268473,1.4177494060314837,1.5340748242571074,1.5043494718184445,1.4144802610378149,1.2423855609419794,1.2764832882675248,1.3018032473686212,1.651327692481568,1.2253462898583691,1.24631409638429,1.0398063520845608,1.158301666716926,1.0447648689252398,1.0802438282922067,1.2190706183973576,0.8541673618273133,0.6392946806416121,0.7187021533498061,0.9138943512068813,0.6550783596111381,0.9007151589516285,1.2555311520463825,1.2177402923188545,0.812835303707697,1.0286639314944752,1.1559328747225013,0.7679855276405059,0.8643942020163083,0.98339088449302,0.7103623675947507,1.5964347577855909,2.210683092352138,3.2628141394084813],[1.7794015644145345,0.775621077332552,0.8111362659753727,0.49521996343376096,0.7247336378699636,0.6730737172426664,0.5254168940495373,0.6307097347611526,0.5485320233374378,0.5785907208364063,0.6851999978487185,0.7306777110990892,0.6852285333786795,0.711340669223964,1.023956201438568,0.8993530971102948,0.89297553561221,1.1113752186218322,1.2249230607608115,1.1292138432307552,1.324847965257632,1.3231557495858337,1.3945623146292616,1.5404140065824827,1.128551236978,1.1857691602933733,0.9975854544403583,0.9162761753390791,0.9114604033670674,0.8353276091004689,1.107052819329,0.9455048425367355,1.1023434534685466,1.1731402002125333,1.0058442887500276,1.0016291331645013,0.8843508008439515,0.8737137798167011,0.7961178026147647,0.8074271986192005,0.9855454296709092,1.0135847819882442,0.9906594285150582,1.0425842363367546,0.9363551677655741,1.2742991168162368,1.0856005571789393,1.411512922977663,2.2669838304421512,2.1343077714249015,2.042640554962841,2.325523274224783,2.0933251501094126,1.6535465942120995,1.7058249161244214,1.418389572364614,1.297361664047457,1.2685272677426618,1.5105030825611931,1.1720309342317095,1.2054644525347673,1.4047319056326648,1.5114186281991073,1.7571090309910764,1.3764103846304712,1.1402254964293819,1.5522780724286862,1.3664926570328886,1.5625207809588342,1.51237267747036,1.7480775068148373,2.265978599771222,1.8358292979502526,1.8136183486917061,1.5384962165295704,1.9717387815541036,1.431268026555343,1.3738078952677437,1.2260300774254518,1.2131315614434315,1.0059423348104297,0.9721375949179012,1.3314741019315297,0.9899377745443613,0.7933346160388869,0.8437968251105006,0.8918101618452764,0.974971950396596,1.0890680837619466,1.1950265656805772,1.327110741116626,1.491770136404346,1.4484770080048066,1.2906139841591417,1.1483160939333639,1.2935441006783015,1.1643678899460845,1.0070205500519938,0.9225835657624544,1.1127185539159234,0.9353130933186298,1.0990559508554572,0.8984711091920399,0.9651195964549093,0.9890469531263263,0.8466975015089439,1.2214108677703674,0.8518872243177391,0.8702083587977089,1.0369789903985518,0.7696786297370807,0.6400196060373089,0.5677039625958542,0.5937762227074004,0.6690748582966295,0.6692748188414983,0.8896069155484291,0.7668696007009648,1.012299349963762,1.0920881271714107,0.9981233933370984,0.9279867984616075,0.7399275440104514,0.5680752014932601,0.5465011331927115,0.5758446339825964,0.6055346509206421,0.604330968378111,0.709859568866695,0.848261651718194,0.8043283394525211,0.8282073825144745,0.7928444664898181,0.9113926696592556,0.8056984953592947,0.7377389961253844,1.1961084688186328,1.1235293623000806,1.744665805169526,0.837834635480493,2.3050763384166233,1.8840814624242932,1.008519269946544,0.9635746482123597,0.7750210683396338,0.7576593378103856,0.6844490066572112,0.650810667969291,0.6272663961881948,0.6428374550745636,0.817549752431441,0.883505461338874,1.4388847250180254,1.8132967001984426,1.2326065421776558,1.0443494606273436,0.8023294882358647,0.8568194262250072,0.7489562058713729,0.8136897833418625,0.6136352799958009,0.688493854791661,0.6233370063089042,0.6462930459936546,0.6664612476880104,0.7194380237106448,0.6973129792653484,0.7618545480318062,1.0189241932524757,0.9737599220322916,0.816701553537554,0.6734745185301927,0.6657897013983134,0.6367811934890989,0.6740352915588055,0.7683647957303963,0.7795920183030631,0.9914505864661876,0.7946503570458138,0.8474519849283533,0.685830295853588,0.7693686713272357,0.7832665063113192,0.7368683139015245,0.6670744756448449,0.7282324571964472,0.7858878525987242,0.9395842753718864,1.55040846938114,0.9381173339277359,1.759302273801054,1.1626256703844438,0.9320876655636448,0.8639722367091212,0.8435966538814089,0.8815874138871439,1.0548023759830276,0.9734392063639107,1.0618370516361098,1.0234026073756426,1.4179327560088142,1.4955811962824177,1.173930012059422,1.3807640100655516,1.6995900545932954,1.553198597832913,1.480447815446805,1.691396795372104,2.0422495067308426,1.6356319110086197,1.7174446206524174,2.1312880502468707,2.0296235028362855,1.7874094433857886,1.9768107849133576,1.8583861064971825,2.34187446520093,2.0113944202699128,1.9451231155752622,2.2929424746618183,2.3581461548138183,3.0406768589802753,2.835923070934632,3.266447394198363,2.3665318343079775,2.3021202886922056,2.06607033301847,2.0556682249549683,2.1137852314981718,1.8195994185859974,1.8526372193411955,1.8382107131864238,1.832753305684278,1.5402846821026026,1.553443803898277,1.5205069857810969,1.5341449241878717,1.28981585101821,1.2859962553778923,1.3339129796365183,1.517929629089262,1.7959904887973044,1.8514277812298874,2.3139263169867026,1.9333219015161316,1.7084177238007034,2.1189067781565822,2.17797396012417,1.8166949428516626,1.9838897750484161,2.355841649530322,2.3061951606624076,2.10539190309934,2.4921275095779762,2.6903311831143544,2.462684715860022,2.5679904451480082,2.831978642387893,2.572716657945835,2.5684670198718775,2.3012053146193168,2.372144969989241,2.4678031393608113,2.0962471745629436,2.0660351257179874,2.152183101847572,2.0506370159038645,1.7491781851009456,1.938068396405966,1.9921499313075544,1.7160090838736208,1.6658843800341994,1.8144536014542978,1.7647524450325456,1.645438171469597,1.4156392003614036,1.4526404081748483,1.3858906276795082,1.8212475948303666,1.3535371967156407,1.4152004471884916,1.1652435407378734,1.2153036008639766,1.0893737730278252,1.0897275574511907,1.1584928498442464,1.0161291645111292,0.739940068974541,0.9169800064565432,1.045605220565443,0.7793965690507185,1.0952957332603788,1.4405737373797773,1.339506672831164,0.9578498353658217,1.1638811827311661,1.2807041903891618,0.8687080330845609,0.9873554903421204,1.0692018395429859,0.859284848804826,1.8627004262823406,2.405011924577363,3.4701070001290115],[1.8508358509614837,0.8474022565479137,0.7693817076676944,0.5524537130702795,0.7164273958414349,0.6040539287745196,0.494726473977204,0.5774875191572175,0.5109737336833442,0.5122835300446222,0.5921489768528894,0.6380371084744506,0.5722778306963028,0.5769514795191717,0.8550177184538856,0.7404296636289771,0.7453510556577875,0.9310930289976689,1.0073304531271627,0.9258707395544771,1.1000397942746074,1.1014886493787464,1.1565452553463629,1.3125242605091354,0.9053043014111194,0.9781542960151464,0.8299326317865804,0.7663134218384261,0.7378327867401285,0.6861261549118988,0.9421383588337783,0.8123358414737796,0.9475938253307131,0.9863624899968629,0.8423420594430717,0.8332442232566736,0.7440048218081624,0.7009068672773695,0.6256238333847471,0.6316019250549372,0.8603750385848017,0.7889434558400503,0.757974606203165,0.8445469058004801,0.7625455856441725,1.1846772281522828,0.9651342724646867,1.276348756814246,2.2167169633348416,2.117814891212402,1.9507565037322403,2.2949042943150553,2.0247365352015074,1.4496966029090175,1.5511522448742754,1.2656171140315016,1.131353780588713,1.037818106598868,1.4227554088088437,1.0212560748106916,1.0079554795294967,1.2101498766828003,1.434873727443552,1.5194721861910665,1.1057164117367049,0.9221983599316803,1.328188684304051,1.1362624897952163,1.3485970623254908,1.3051053464828817,1.5789714667199377,2.068874208404296,1.6243377843867506,1.576980844976715,1.309672562786443,1.7647956368960886,1.1824118607355139,1.150557815124705,1.0098091595966383,0.9861961271967641,0.8666472419174104,0.8674599013667292,1.226918043395499,0.8649416805417602,0.6553926365046271,0.7125554553252709,0.7244775247306899,0.8557468779246422,0.8886845567128477,1.0162624973845111,1.1182541310072924,1.2754414050547618,1.2360798317776054,1.1126489532582164,0.9760951010193926,1.1139823121560215,1.00959330941679,0.8911625866567006,0.8149520612186938,1.0439984467029932,0.831207945096019,0.9752022346818872,0.7975199494376166,0.8742187885077597,0.8813200421172824,0.7952543936577441,1.1396333899505995,0.7829089294141837,0.7901461611089737,0.9777391927908867,0.6926496620232346,0.5704271726881841,0.5232244890454135,0.5588400277964231,0.591616172115005,0.5993252896817677,0.7872420990007046,0.6636859526231215,0.8509453426407203,0.9311319749006156,0.8590357377260336,0.7988669759348855,0.6481380799502471,0.5096402617619245,0.5165509528342205,0.5700605584042636,0.5409030039120001,0.5666262114767677,0.6641462529004146,0.802459704716916,0.7469773587794603,0.7812737021218785,0.7443138980422487,0.8743228746759996,0.7475445898910643,0.6633088666625356,1.1425945669616777,1.0913048049322867,1.7159863653671654,0.8217421547289332,2.251173269892675,1.8904515304706033,0.8908021529884544,0.8639089323414534,0.653844106206274,0.6504688707344914,0.5838642757333546,0.572387150633902,0.548001842218196,0.5694456126244123,0.7303815336226049,0.7857634061072015,1.3292654736771923,1.7403012600163865,1.1844095102329149,0.9606343084732053,0.7143830125386839,0.7725862984024743,0.646231307675241,0.7499233817567104,0.5617587906578776,0.5973891782724381,0.5333250246443714,0.545941770364954,0.60737205816659,0.6598219183052221,0.6621751802878721,0.7408732765254273,1.0160640978243154,0.9439041360502588,0.779502589179776,0.6168051738449912,0.59925570565065,0.586267905392926,0.5909989140922479,0.6768129668494407,0.6539903581346409,0.8976633978930486,0.6801592076811543,0.7161978932721705,0.6088831725337936,0.7083151515079157,0.7265892167269179,0.6722962812553752,0.6034695429090376,0.6354593762229058,0.6600917736761991,0.8516626052672568,1.5193234491846102,0.9011200069332294,1.659889373998484,1.0777251425854797,0.8615906242622252,0.7996024839004935,0.7782669554690834,0.8445030730356563,1.0248719803650326,0.9253155501353943,0.9940947889749134,0.954668506600118,1.325564202039846,1.3925017323530493,1.0835183229021932,1.3041991006104239,1.5861109490929393,1.4399377142336254,1.4144486041969608,1.602358802803825,1.9144133583790537,1.5348252225982149,1.627069430271099,2.017615227352014,1.909907567611363,1.6727677226854232,1.876705873640449,1.7749405040450714,2.230641102169868,1.941964723689114,1.8608915684192968,2.188135530657706,2.2573328458263187,2.908662126369071,2.730145567455532,3.109690243132694,2.2305468853821955,2.157907414383469,1.9192012929195337,1.9191402603542644,2.00360350183733,1.7055998032043014,1.700623004070121,1.7315553917379987,1.7763532969286746,1.4614936518462527,1.4466911925371977,1.488224902332831,1.4808665525138405,1.2697424896443559,1.2248146051909135,1.2512562292913882,1.3928160556628872,1.6382135526017518,1.6983373909268962,2.1654728986868186,1.74613907791339,1.549220591028266,1.9555389677787864,1.982841899767097,1.6464743489297347,1.821502534451554,2.1672502042602013,2.1142832125391835,1.9433014047165844,2.328373246915872,2.510166755061618,2.3036326376481315,2.4181183390128704,2.6617807944370915,2.4241087997793374,2.409870471335512,2.150772712373458,2.219777369423659,2.320916005941328,1.974160449100762,1.946244967861124,2.040393428671175,1.9511398504982975,1.6695073807033827,1.8522827763782452,1.9207764397401759,1.66320446190972,1.5899710350211,1.7626504894352604,1.66945292902024,1.597790106269937,1.4142692647938693,1.4671346186918006,1.408989502085056,1.795454254597547,1.3454766613171785,1.3842535869464552,1.1419572316917002,1.253691563433843,1.1300555452799654,1.1509444712296288,1.1926922089856002,0.9940871339250223,0.6959981436865954,0.843710990829431,0.9846381147829144,0.6938759014417253,0.9583197166302099,1.2923419179231308,1.1964569059691592,0.833883539394276,1.0297915091438323,1.1555020739496766,0.8458742118029642,0.8288279843285241,0.9651019966453003,0.8011016292453188,1.9720823432069177,2.6991598085267734,3.5232597022796384],[1.7602474263252281,0.7178616214454353,0.7028139247316013,0.45935112766695285,0.6492968523296582,0.58257430646199,0.4431513907362451,0.5244725633305679,0.4542185175937495,0.46126965168689044,0.5406434663382431,0.5868496810093576,0.5207011249321822,0.5709209949187593,0.8325366714576552,0.7107043769420579,0.7289457789358262,0.9257603457697821,1.0171111369726245,0.9364106739167372,1.1106078275828897,1.1154293347630067,1.1642008557239636,1.3332636612775355,0.9296118885589008,0.9959315263071403,0.8479374452874437,0.771415658179061,0.7421419480259567,0.6681705881226345,0.9048572790908348,0.759426305014496,0.8735387005352473,0.9197883475296627,0.7883867562640966,0.8056909797712708,0.716264501059346,0.7061175787452726,0.6511727248715028,0.639133057924829,0.9064271644821423,0.824760819752426,0.7863628031836155,0.8330799451958176,0.8111318757104915,1.1859207378631282,1.0004814477323256,1.2296039449363436,2.1586849863065485,2.0154928615031835,1.8808005843478266,2.2218059778887036,1.9755516038693384,1.43711182161107,1.5049454353020544,1.1975685017886033,1.1556154728921395,1.0080806056016611,1.3526132655434893,0.9851134942081033,1.0074927532581408,1.1722508569555725,1.3529307651702482,1.5082389860139143,1.1414329414998114,0.9249429843798358,1.3308281266669875,1.1335906278556962,1.3385483542528578,1.288128692098254,1.5611034763343177,2.0182296502190216,1.5949042089986514,1.5729203336771147,1.284788157297338,1.7115219067783634,1.1584843631334647,1.0946218796932845,0.9598707554956729,0.9592929228152469,0.8011504759631408,0.8129840967408739,1.1768458112383486,0.849528146881687,0.648667779515828,0.6915971864141282,0.7151337320669868,0.8072363305497483,0.8707376698199918,0.9633400971416621,1.0745775917409275,1.203737011335086,1.1596120411091373,1.037669877751524,0.9255371965213153,1.0593077696134692,0.9763598708846758,0.8179091007936857,0.7470677151276987,1.004773191852354,0.7600072939255459,0.9417726376588996,0.7380670943781548,0.8250853181816693,0.8420516612547679,0.7211821808909735,1.0359827665364738,0.6670836104633739,0.6953874274196371,0.9296693720148488,0.6283795806872902,0.5193967353784067,0.474918029523037,0.5167245016542643,0.5711224504779623,0.5916830084373245,0.7928336431914452,0.6780438922926839,0.8591472863406598,0.9442158864607295,0.865986804702982,0.8003610329252152,0.6554592778250786,0.5067621015555911,0.4867799979454976,0.5434775815341023,0.5267477789737188,0.5343423176314028,0.60443311069437,0.7190097868467367,0.6719367660347607,0.6860013833204642,0.6636844655872778,0.7748253350573233,0.6871936550902904,0.626262542825716,1.1079891678610032,1.0642340628968412,1.7174223357749958,0.7844930909506911,2.2407217259211056,1.9181704218725117,0.9280997590768164,0.8786561310004575,0.6630359906110375,0.6358529577436898,0.5776465935266002,0.5458577036842829,0.5070376246985804,0.5359174371359646,0.6957985283115987,0.7850840658424616,1.3015996236859182,1.7789109631908038,1.2168171002270824,0.917395117302965,0.66712186973861,0.7340263086709415,0.6108972748319623,0.6945686244772101,0.5234983291244173,0.5727316718261264,0.5235152329781527,0.5335538188081922,0.5829596267155845,0.6843545525894905,0.6449632727156474,0.7522769907145065,1.0152948382541906,0.96179295333926,0.7666861715561574,0.6019310705601042,0.5676071514207193,0.5411430115655154,0.5458839224701292,0.6385666685464801,0.6185457451745573,0.8179595951771116,0.6392469779361808,0.6803950940302067,0.5524896941248937,0.6354389519924215,0.6457383459290406,0.6053319489017739,0.5587455788236134,0.64363096707735,0.6783664844275322,0.8328712440758884,1.55346037936322,0.9262287629792385,1.6394517533287798,1.109156672007898,0.8389283386337458,0.7508368205252044,0.7219997667443908,0.737206549456999,0.8956007761657387,0.8180980946530124,0.8999145857604856,0.8488203474298949,1.207369521565948,1.2836742443405338,1.0003818512625855,1.2147013810396654,1.4910098481450602,1.3802050725868285,1.3665956110522137,1.5128205493391087,1.8390536061191143,1.5015803319480003,1.561147969086135,1.9430972411260747,1.8943012917600064,1.6508520594672669,1.8105525666690034,1.7190845929465381,2.104702077087651,1.8108365121023802,1.7319055970994062,2.036449957188793,2.0787059489597084,2.7521196386849116,2.514747254343452,2.9533782746923274,2.0707827233573255,1.9843695595395658,1.7689703643887855,1.7466467018492924,1.8174296338525746,1.5434164833734592,1.5557019516267978,1.5582024474270677,1.604210040528914,1.3026006535005776,1.3338651994386277,1.3165005127583456,1.3455953748954124,1.1675854953100173,1.105597492752339,1.1246508351930113,1.2642072511816491,1.5065511697784166,1.568409271895455,2.0107564069807475,1.6324575775909667,1.445908709768753,1.8333114898969745,1.8920493508884642,1.573198903531188,1.736449770507383,2.0804745223843972,2.060084127277108,1.8983326377979168,2.22830206597989,2.418248273489011,2.2688690068059727,2.3402152259776883,2.5423893505825967,2.3015130032176723,2.26283953584367,2.0166744295259127,2.060517105390099,2.1613321859022165,1.8526912534917714,1.8005134339679003,1.880660459303304,1.8088735799327453,1.5363031993101914,1.6882504537453633,1.7690990484527296,1.5213126654494833,1.464642725224881,1.5911910618744018,1.5463034571101042,1.4647810594285608,1.2726893527951897,1.2998489783638978,1.2768753412326974,1.6622415080094115,1.233049677832754,1.2827275885341924,1.0557427246844648,1.1326613746420255,1.016912694014809,1.0373857933854274,1.1421600270943009,0.889663033642291,0.6521517393357164,0.7745857850959234,0.9695503145819111,0.6569311353077658,0.914462499510325,1.2575151663241637,1.1907669307644348,0.8222329549875702,1.031762541836857,1.1477309557856672,0.7963063273658293,0.8767391085669858,1.0057498261753206,0.7083667046131333,1.7010013483345092,2.370901084182677,3.232209573633342],[1.7139858455443044,0.6883459802301206,0.8847241414138217,0.5942216061388119,0.6861631959986267,0.8031563039946725,0.6358957084199243,0.7552402295578328,0.6139806010043656,0.6040092104660891,0.6869265887328112,0.7146049980782964,0.6691041945987651,0.67559763902563,0.9731719038934428,0.8456208263061881,0.8112433655230152,0.975753561827807,1.0380357299066032,0.960007916358076,1.0955794505205474,1.0931749929220458,1.1252396851365303,1.2578065147602124,0.9528366252854779,1.0002301446500368,0.89001995081333,0.8142439981480952,0.8031423287788119,0.7868656030348726,0.9775641492998643,0.8716536449894468,0.9868383523137612,1.0163484466335098,0.8856010591317224,0.8783119371710352,0.8601674659596767,0.8040763868445977,0.7618287164458629,0.7879368582433237,0.9209425257074983,0.8783666532472791,0.8527971024249031,0.9501985241386273,0.9153295773700536,1.251719947049729,1.0535454290283812,1.2579439131173464,2.1455611182263796,2.0600398970979286,1.89962611555372,2.225174646309678,1.9906281220361426,1.4988042872848688,1.5926863953240402,1.3206164383682286,1.202750872517055,1.097955122779217,1.4894086677444285,1.120862163579917,1.0883784104530483,1.308219909428342,1.5537034063368549,1.5126775771805532,1.0861169207146975,0.9847346137299228,1.3119526311219827,1.158136396180808,1.3411988578208949,1.348492677991067,1.6071016685189397,2.081761730032559,1.6731286687780482,1.6045898138157015,1.3239965860655858,1.7254466383992557,1.1984644899656414,1.1489928580735358,1.027401365711092,1.0072941245843767,0.9156370649794477,0.8972156827062202,1.2215046581134017,0.9500290341476738,0.8048248360246589,0.8280791524798531,0.8469605688735576,0.9549389083832656,0.9256955196307125,1.0452037277067898,1.1352273680587701,1.2615219043857866,1.2427486499230045,1.1362980080959377,1.0279629804395134,1.1716192340714209,1.1069575140053811,0.9428739771109752,0.88463925827891,1.1509979917354796,0.93553740742656,1.1514867688814907,0.9643343614962293,1.090783646685294,1.113019379639506,1.023790723943098,1.3735362164139433,1.0062816642466017,1.002783279315788,1.2139569973910764,0.92545444047144,0.7940057454975568,0.6738282730573474,0.644085554705889,0.6499004535931422,0.636636107142958,0.8007137979649368,0.8262262143544877,0.8898951307070493,0.9473704712705657,0.8755661649621332,0.8176823569562531,0.6947780604526396,0.5881866840171709,0.5633502572750916,0.594625409482016,0.7653520422175173,0.7441377105264128,0.8994199977815185,1.0553543538928774,1.0172402420595865,1.017015288475315,1.007763405281845,1.0923921165406185,1.026440677533298,0.956184055212962,1.43409576845904,1.2755654350967314,1.910798823573924,0.8241293081731411,2.1024144393673865,1.622123016257807,0.8595454297049396,0.8056047222225612,0.6840733697135987,0.7314779965346975,0.6637463352217668,0.7021846958795936,0.7154204005412195,0.7265535764079228,0.9586971286765368,0.9921571214990829,1.541356354411415,1.943348681328341,1.3313563689107653,1.1249493960285144,0.8759657207003009,0.9773940608901155,0.8160069951703701,0.9630275759308887,0.7540037743721263,0.740219603647599,0.7462155953294795,0.7084303736535391,0.8021901727299229,0.7971646312813686,0.8791321957222766,0.914360001375294,1.2149396531863346,1.16780518475629,1.0414207157463407,0.8328345421212291,0.8261678974434754,0.8008384515480916,0.7867052505246801,0.8817019632353782,0.8253773258560055,1.03669573536233,0.8609066526285845,0.9222569473508357,0.8329514831071484,0.9458276213155768,0.9734485014949557,0.9257166330587595,0.8630954929114926,0.8636569321305398,0.8374384381929858,0.9728487379328552,1.5538653539085996,0.9618616444323989,1.9657997365653286,1.2308289769868843,1.0870247846063625,1.0509767481869952,1.0443857801776277,1.0905239240402715,1.284761987632506,1.1613770796581855,1.2250026163041872,1.1964221810344133,1.552537435807989,1.6289103422864524,1.337703819255377,1.5336791316794998,1.8181012532469236,1.7019456484336553,1.6311238601746918,1.807402157949652,2.1537129038951,1.7734593650742854,1.8105524240721127,2.1963685486229947,2.1499673341983314,1.9073657491682734,1.9996529568006451,1.9075885851675873,2.33821284627312,2.0272082764036026,1.982458612374539,2.293742542087408,2.3278709394706434,3.032155291275133,2.7637737234014677,3.236725361251347,2.3862054180786543,2.309882723350421,2.11741751203984,2.1089586954544486,2.139964834331836,1.8841861123485757,1.9168834818241145,1.900289181827092,1.8948562748799924,1.6488328457403005,1.6977980578288885,1.6146185069929426,1.6756517326829012,1.4501341973237396,1.428902085370013,1.4720248302430472,1.6265851200307155,1.869509444158181,1.928781102697007,2.335681365476919,1.9922661616649189,1.8084933802337388,2.19189242821229,2.2502565501237433,1.9210507106402528,2.093557288323809,2.4336498032573637,2.408275470813758,2.2379550853741454,2.549917951530781,2.7335866210183384,2.5754101136150114,2.6293275233057947,2.826606537401229,2.5875953606361,2.5745599748136536,2.3502590711191065,2.3932761864455045,2.4669748487108416,2.164147988530826,2.1282467960782614,2.1899204069050744,2.0988746218289402,1.849445964554987,1.996971352445999,2.024276251552717,1.789247924128692,1.76704156650874,1.881675250978219,1.7774466719464381,1.6860600604327372,1.450883116088429,1.421561101292544,1.3421132405964746,1.7724731433971888,1.3522144537428098,1.4960356878235923,1.2460989059283727,1.183054908723419,1.0750756925504823,1.0476361451341023,1.073413972443304,1.0864443268919737,0.7454687523833508,1.093670850547488,1.240705708507165,0.8849933855386467,1.2639578136181682,1.6018609496865153,1.5077546577189131,1.139059813581191,1.3146726138756015,1.4287011360532114,1.003718720400905,1.118932524330661,1.123085678641094,0.8536100528889874,1.5390990202270105,1.9856462500866259,3.2487389695276057],[1.7428777190591558,0.5665759096846088,0.6560296833313605,0.4285318469127145,0.47864949974794996,0.5487319683683298,0.37344266339650717,0.44410044555629785,0.3887984845822294,0.44129630671968645,0.5491644582247949,0.5360761477868727,0.5077538308086436,0.5920123361247572,0.8931621195056002,0.7481745410044588,0.7658469978626786,0.9598309415114756,1.0463369937462752,0.9560785715203224,1.1181962044604163,1.1223261832399878,1.1600112415340391,1.3159225941273835,0.9522851107375027,1.01649903427178,0.8773065915745185,0.7880932234631912,0.751686953894671,0.6665910294778395,0.9491617311897838,0.7590311996302598,0.8876535709207919,0.9374798522482153,0.78953300995135,0.8281221492331237,0.708432064377828,0.7242560933608796,0.6545643520786494,0.6316621830709717,0.9065182956072306,0.8383371103743996,0.811453690378306,0.9101506620354557,0.815293117180642,1.2006451432073169,0.9952750237687938,1.312856151804259,2.2281911919029613,2.079698715235545,1.9465374842269727,2.2570065948364397,1.976803656812738,1.4930810663577918,1.5830945453245995,1.2416573183018689,1.1224459585337434,1.070432193376951,1.4169586681299833,1.015870229372079,1.014110059010016,1.2411096832877464,1.4576911154385512,1.5107226925853983,1.1169323769031316,0.9689092082814658,1.336340664859238,1.1617404621404634,1.3715087766719418,1.354547144081804,1.6089226945700184,2.0859936323647825,1.6657152340184136,1.597711481715751,1.3303033380698024,1.7515371186079194,1.1888764695262266,1.123569884535403,0.995052179628861,0.9861458048161057,0.8277099253534131,0.8268537529191243,1.1773759030110915,0.781432145601133,0.636094257530604,0.6926426231766368,0.7296396013542402,0.8042916317359426,0.8826966196855329,0.9700952548315569,1.100753577783537,1.2374411137281505,1.208637673835078,1.0724158212682964,0.9693831298439826,1.1116090069691047,1.0392514128195265,0.8317851380032236,0.721753352033289,0.9558486459649058,0.7009414861298168,0.8400876548150554,0.6659972346810578,0.7420623821341021,0.7611077326646919,0.651943762254117,0.9887240856600503,0.6110998682775066,0.6359604917845675,0.8761457394484641,0.5809874581641039,0.43930027844719055,0.3827060239770036,0.4462463750719876,0.5430358852091605,0.563185701709068,0.7779569704012882,0.706039204248491,0.8932716986914264,0.9651975342216382,0.8847676090671542,0.8092307266111671,0.6449700306860745,0.4901274716168942,0.4191208567794877,0.44606729114032134,0.4853381790748769,0.44407978243015606,0.5244560364965601,0.6716224771974664,0.6394705505186604,0.6221262687892573,0.6225481222272605,0.7339148441210047,0.6660326319867715,0.6239492191980364,1.142188233790224,1.0452769042982366,1.7110612168351826,0.7048514056466997,2.201632235363948,1.6765288359642478,0.8503096631316318,0.8192283206414694,0.6406863163420852,0.6378271848793505,0.5462734646951303,0.5040403866871757,0.4462563239104393,0.469395656581725,0.631705286341652,0.7185140427218237,1.2428525784690168,1.8200047804677355,1.1897365678428853,0.8395112857542377,0.5932102222870091,0.6584249290907584,0.533152803636357,0.6432828348766204,0.4758668450483314,0.551690839042734,0.514940761127341,0.52027436172639,0.5455306067618196,0.6025265202909812,0.5930821477320284,0.6681392990787705,0.9362886597883363,0.9431568671747639,0.7351305769139783,0.5634711867158333,0.5322715180789698,0.5052405267482075,0.49968791754335207,0.5756783125387078,0.5727175601493864,0.7834619907413494,0.5946404816975019,0.6307121672921159,0.5069152619944113,0.5968467810241749,0.6027789538800995,0.5576226651079373,0.5384624472394427,0.6125716380332555,0.6804416424943752,0.8669325564169968,1.5411988303164308,0.8822230399973011,1.7225241043908306,1.143322604609396,0.8469892232442476,0.7474591150228521,0.6812062945120153,0.6952348428286337,0.9319156074181063,0.7537380498299929,0.8483183910626534,0.8061461376137228,1.1522865664093263,1.2339156489453784,0.9813299721355484,1.1823419657509613,1.4514917389397992,1.3801406805105934,1.3716513066194123,1.482333969580475,1.8053928821404668,1.5079858271582722,1.538416082272414,1.8972392151123267,1.9025613133693489,1.7149961024908797,1.7585758461593006,1.677963120145806,2.025893071305805,1.714775967361261,1.6482412019298371,1.9307939253856499,1.9310814857796348,2.708714839183098,2.3253733476712406,2.8382556244411346,1.9395070198110915,1.859365088040494,1.6814107332239274,1.650836420606878,1.6875159058295706,1.4548417189862517,1.4769735040708676,1.4473352005106654,1.503405951453148,1.2253039581443077,1.2877237230720073,1.1932335173163597,1.2911307649596704,1.132093953638791,1.048965486588747,1.0609309127465005,1.1987910397173176,1.4355095064775922,1.4804071384313673,1.8889647400733065,1.5756035462677052,1.3966318607525965,1.7689044518757828,1.86588527767053,1.544300392382322,1.707395217985121,2.0528719170191767,2.060424792462954,1.8994157074984273,2.1757398915606965,2.375542649985129,2.277386348961415,2.2898830016138545,2.4426804937479263,2.1976203513098147,2.157043250111765,1.934007944602103,1.9553119357953443,2.0382722627423964,1.783058502213095,1.715384921830336,1.7789779572403697,1.7212211900094343,1.4736492344491257,1.5819165460521787,1.6495076355519376,1.4303353966787409,1.391224988711169,1.501262047490035,1.4289999424856141,1.3652492284312367,1.181748458761071,1.1850111201611946,1.2084781542444043,1.529146490808371,1.1696575279664463,1.239789904118338,1.0287446430269245,1.0908643603686243,0.9340871033219996,0.9144915389201738,1.024045722782626,0.7857297653959737,0.5375192146118125,0.7400188444803998,0.9454377851792667,0.6349388252155908,0.9390148802964596,1.2729776106594888,1.1993739681043267,0.8528175023863303,1.0430212135217423,1.1247879975737491,0.7560820630636504,0.9158215677854327,0.9594635560640005,0.7570865709198682,1.1969008609884302,1.6168482347197972,3.096192583766516],[1.8195495622731457,0.6869837018007636,0.8049940599725662,0.6092928836449754,0.6157353007853011,0.6866817143366104,0.5429568478404788,0.625662776754797,0.558743895912802,0.5789721104839956,0.7026087217008827,0.6998400756296063,0.6674132976358764,0.6910855160338994,1.0220818954397113,0.87229328578805,0.8495657308328076,1.0134373765434923,1.032060850010057,0.9942572538958923,1.1132993440344179,1.1498002579473365,1.1148251019717514,1.1934841237684217,0.9533460214974666,0.9891102347673846,0.8982008056193288,0.8365959380326813,0.8506772969932667,0.8103467972119422,1.0684511578590343,0.9381173637774205,1.0448369089045353,1.1085079321476476,0.9597392822392354,0.9647135830917843,0.8766014619658629,0.8448775299602534,0.7869782343423319,0.8010874210295108,0.9715435579653791,0.9105646497163934,0.8950831369471827,1.0091837431992272,0.8887959125418922,1.2652180105729534,1.0930400211536215,1.396131588358405,2.262763920884064,2.2069462131043354,2.048504873661368,2.352314473119463,2.1404109724180977,1.5550805156543819,1.6741049216567978,1.3765341336097972,1.2038813831352508,1.151595659608486,1.5446291196050859,1.169516194336803,1.077185801600925,1.2891108739614539,1.551922829280877,1.4715260004870512,1.1070637708765505,1.0039436872594703,1.3347144047956467,1.1922692577219853,1.3392766222399548,1.3772537172631762,1.6085847132095479,2.065559857131243,1.6635609664508852,1.5547997084662044,1.3791684156376047,1.7588143488408197,1.2538829010987715,1.242718460144883,1.1130937805956695,1.0907778481456376,0.9689218889757953,0.9806309439897515,1.287510641356873,0.9937738212518559,0.8274293495613343,0.8791631030967813,0.8879428418386611,0.9778765415061479,0.9961239714727045,1.1141698743760793,1.220912148708102,1.3353351761352068,1.3434202103401796,1.2508048175704805,1.1292344940595038,1.2755074803609574,1.1923954177736313,1.021914044683977,0.9187537377848622,1.060219627490163,0.8885101409228329,0.9870431019020665,0.8663247826763509,0.920280416329969,0.9314359862864648,0.8521783270703042,1.1730008869499626,0.8451192258494786,0.8626854730145987,1.0118371320760902,0.7721360234049546,0.6463788869512601,0.5861169085681179,0.5795635877519333,0.6250213816954597,0.6198044742863673,0.8161269569700967,0.7608122322921109,0.8844553116028891,0.9607865971713814,0.885132411038158,0.827061402361984,0.6564172171150898,0.5562827551125878,0.5244406740851312,0.5380392987723729,0.663680121842827,0.6319766946620374,0.7306521935404118,0.920262850843867,0.8768514817330988,0.8564824443966884,0.8699029638272671,0.9868810602519795,0.8884987789133714,0.8358209766716848,1.2781938845909167,1.1795612684977062,1.785403874425689,0.7838884551149259,2.1409663824090313,1.4984804308006128,0.843898634179229,0.8376550532271007,0.7182062399999584,0.7478232108277058,0.6662561824361524,0.6744995926988043,0.65548155009697,0.662746670883243,0.7949475810775826,0.8432999389544121,1.3685152312762268,1.8617820255909017,1.2308000708463296,0.9902897939925711,0.7770060551161098,0.8390814488967022,0.730448836543648,0.869118240801136,0.6950155690742628,0.7499377554640644,0.6882848334780741,0.7138300287260926,0.6877720011869228,0.7115075147168445,0.7652263512496854,0.7976598865115961,1.0595136207666136,1.058844202595078,0.9051511086898546,0.7342233244245672,0.7409016272395887,0.7446940231630689,0.741380963751123,0.7861889690099115,0.7667191677668959,0.9796843013622405,0.8086402753101903,0.8241281651489977,0.7474729631391327,0.832252410254057,0.8487625266470588,0.8037612041373312,0.7589671578584678,0.8129503061796264,0.8034286189870813,0.9540037135103995,1.4937200731885387,0.8922974677405971,1.9530737616664666,1.1536696505474882,1.0058390277664866,0.9376209518016758,0.8888153906259663,0.9606124522422912,1.1838840224844607,0.990328081534376,1.0621892900338825,1.0203103995960163,1.3419791460208808,1.4176651386195191,1.1656186949956444,1.345615516177224,1.5997415220832663,1.5214922895582257,1.4861175360796848,1.5957247961639947,1.9105517380104258,1.5880523715355799,1.608930510724991,1.9537125674854874,1.94536538725287,1.7813747260363786,1.7764113051239891,1.6992700260954008,2.06788245288232,1.7561939284511987,1.735175650679636,1.9962601358281356,2.002977844300353,2.8015153953025536,2.404449018568614,2.9594984587463067,2.065715525821613,1.9988330354832946,1.8344850520676088,1.8196653894920933,1.834563164102664,1.6211806514771403,1.6506231091069101,1.6218499151049175,1.6565608369683593,1.4137778382474093,1.478340460178691,1.3717756689974596,1.4562413582426632,1.3128975810632988,1.2488400035021547,1.275276960367715,1.3912520578837329,1.6011687513542041,1.6456922766689188,2.0222310965046963,1.7401525276050285,1.5656393145369474,1.9115904197786708,2.0176999032774168,1.7052430457450034,1.8480442469850928,2.1790137112053247,2.1821391834078083,2.0086105086698094,2.2757750701071084,2.4639783096610732,2.3545379607609003,2.356680857422547,2.500834738103707,2.267686292802738,2.2537258080953224,2.0673815536410953,2.0851930383100736,2.1321228117218127,1.8984209236772853,1.8570580221038824,1.9051824150562202,1.8380103257065714,1.6141150417236487,1.7207751157711861,1.732031290536897,1.5337657195450318,1.5207243354445703,1.6440272191369008,1.4830303734647292,1.43957804485206,1.2486836521999398,1.250929976260589,1.2599240529048772,1.5453166851483415,1.2161367987140084,1.315323585573543,1.1064089095320773,1.142569617195395,1.0036772408547212,0.9595622758045019,1.0265352282139812,0.95436616007227,0.6956493732327484,0.9467039024561118,1.057209488539559,0.7598755977470576,1.1154393958562847,1.4121263327241413,1.344757170466198,1.0038568826081535,1.1376538207888505,1.2254230768150454,0.8929217063549046,0.9415662578921177,0.976920213073871,0.9612387767683962,1.2128849083175666,1.6312207964249599,3.2182451911629526],[1.769895578947383,0.7365150031524063,0.8603475962485779,0.6457784884392027,0.5787818416792841,0.7296401120526939,0.560036386466805,0.6372352159764234,0.5343256633275818,0.5018308424820551,0.5680850398993459,0.5908400389362995,0.5318183742496367,0.5938563173556817,0.9026082428302852,0.7413258613064457,0.7545847637097124,0.9375083508860513,0.9837417532958147,0.9274319788011537,1.0709118399898299,1.095530356680237,1.1023447198564853,1.2039099611777744,0.8949074326654405,0.9520536912876005,0.8457408532345281,0.7621113197327097,0.7464610240968382,0.6809713335663976,0.9483946766867486,0.7662827692016886,0.8764987756941882,0.9301319720224615,0.7922245373739654,0.8253750156236094,0.7348474958541554,0.7419185058428529,0.6829525585840254,0.6882875500386215,0.9000260588867118,0.8331424832762889,0.8002896485380037,0.9275567835940317,0.7994244982828173,1.1762693197166811,0.9891768421536564,1.3221865171467775,2.2137590956003494,2.0792045755402193,1.9665324798699386,2.262315185285601,2.0104997454127878,1.5366230333083304,1.5803236884860057,1.2436975470568523,1.1175388035149532,1.0776094629405955,1.4256870827065193,1.0396881393932664,1.0010315171591622,1.1975678466647726,1.4350866003649239,1.433978724389234,1.0474223178698296,0.9233202840170113,1.2777776756032244,1.1260001088021814,1.3038296956070072,1.3272364248510093,1.5876308267878998,2.053118836471953,1.6250556414686845,1.5173007393099711,1.3013702323369556,1.700297040143631,1.1569533976131232,1.103863411884224,0.9703754128471636,0.9729195671975392,0.828496159518284,0.8326628663129594,1.2263524722662744,0.8760045208047514,0.7041213857589691,0.7313559132864675,0.7503809459461659,0.839554975838703,0.8708086406059378,0.9674557834031166,1.0967742875197724,1.2168454062523513,1.20577401624408,1.0830856133232152,0.9731170980391847,1.1216488613516615,1.0757851946864545,0.8348352943150344,0.7375465659695968,1.0494580933561777,0.755466358425662,0.9442509822916201,0.7543857032541713,0.8667787914539046,0.9011186782357843,0.8211595220017337,1.1075204600697963,0.7928747339868881,0.8051828647979716,1.0007020844489747,0.7690017227771792,0.6275690525679616,0.5474754510806331,0.5486429516230503,0.5599008546424148,0.5872029435072825,0.7496617919915034,0.7387619433291103,0.8509780075360902,0.9294873080275325,0.8524503968824789,0.7847145319740596,0.6321097433105071,0.5290400539547642,0.5212935742025544,0.5241720109852268,0.6558680759185653,0.6016737630298317,0.6735056031620685,0.8241062435337938,0.8151994840039232,0.7787056081650346,0.7919628221200614,0.9043386042096138,0.8254646689901339,0.7896715897037734,1.2523393218255696,1.1787607794111294,1.7831706302786916,0.698098956137589,2.0942894382117205,1.3774917187391575,0.8002786547948744,0.7840420238098035,0.6442821473325354,0.6700475778191868,0.5917781019998173,0.5912110951171896,0.589675884211474,0.6043212275988975,0.8064243534753949,0.8873422910513954,1.3566059467381626,1.988795624098785,1.344006279024984,0.9692923676114411,0.7076555413635831,0.8108464005788054,0.6454384124500138,0.7954419656973237,0.6289170400854117,0.6601410334702206,0.6196332444618754,0.6141252187035315,0.6371980582390733,0.6661083580288588,0.6937046031955119,0.6956515606288904,0.9538756822802008,0.9930334633447914,0.8185521412421618,0.6607248257830575,0.6654505972222078,0.6519291142919655,0.6411824913546879,0.7064343815134956,0.6685005943395026,0.8544037167935263,0.6937202819325081,0.7476759686538277,0.6498413668344913,0.7585657404805851,0.7593607463293327,0.7187060947776439,0.6848501091090943,0.7262646661006554,0.7172288817644134,0.8968595977524965,1.4507891570104072,0.8425704878188985,1.8775953349581582,1.2183463378504273,0.9500788429328985,0.8636121449533984,0.8354338638564883,0.8752960205407844,1.077673056841776,0.8877267716559823,0.9614520913068585,0.9335827099357382,1.2008215246336686,1.28309966254588,1.093926350803695,1.2432573948700045,1.4675630040657344,1.4316790116341216,1.4243497060878973,1.4769769964069335,1.775653421071258,1.5129801584195879,1.505465860003812,1.8025885115825748,1.842313711562716,1.7159242359784137,1.6553631417328545,1.6111465278669765,1.9024285162444163,1.6020095822208553,1.5671967064358112,1.8053562785218167,1.7851449643961945,2.665343411141285,2.143848797299591,2.732564775668731,1.858191059101564,1.7790029237913512,1.6364570435316945,1.6012860191149871,1.624470502413275,1.436485183873771,1.4650732628621805,1.4135479374807578,1.4468648567151905,1.235513150795485,1.3715000501879966,1.1917433715312693,1.3287530622795563,1.2393069388798996,1.1202512728235585,1.12877830976716,1.230525450044324,1.4407632529877712,1.4886133513106985,1.8416494940412804,1.5936286197075966,1.426368447129329,1.753703754709119,1.8979721654475066,1.584182193274823,1.7165425389161226,2.0313825845398923,2.059047497718646,1.9015901329479397,2.104716731002402,2.2822068828329978,2.2138107439561185,2.1877075580835883,2.2914159018412197,2.0665792771427958,2.0444729391958645,1.8788979207350318,1.8809683403033455,1.9268820228533217,1.7329509848585225,1.672232683168563,1.7064634062498387,1.6521087898088154,1.4655403887045875,1.5445104647856949,1.5668233274594108,1.3819283330679155,1.3819103769710206,1.4580576169540498,1.3613597524126957,1.316947736449135,1.1255250973164257,1.126639737361968,1.2360099273919483,1.3941260104938624,1.1409247637896862,1.2295855812637515,1.0598610187868367,1.1228145900720083,0.9691497717131053,0.927491486260091,1.0243077353551242,0.8635122156490023,0.6601295076278296,0.8778663049352252,1.0238229922787843,0.791921911660688,1.100172444707843,1.393325377170292,1.3324895479578003,1.0249067855021814,1.1549582546229653,1.2120305436382992,0.9301919260838964,1.0435470580556465,1.092531488406396,1.2543064216170878,0.9828824043431279,1.7944331667796516,3.268603012525289],[1.7745497033659816,0.8340841807351049,1.021589092085102,0.7946189281191437,0.7510324110491043,0.8559547755700921,0.7421382754019997,0.7948951248366842,0.7741332820887954,0.8179993285574247,0.9289623832711936,0.9154422983424177,0.8874565679530413,0.983001984529218,1.3088137278305445,1.1387215530016788,1.116643899509925,1.2790759040168826,1.300218796367029,1.2459161474862208,1.348034406711936,1.374318350354295,1.332209658218315,1.4169454255173208,1.2184653068241569,1.2370847961058686,1.1252977058796587,1.0770286710004413,1.1031907406270596,1.0436049227105264,1.3021545175191283,1.119788520317871,1.182700625539663,1.2729040287544495,1.136652708476936,1.1756499610047721,1.066945092057945,1.0862134666222651,1.0192669869501327,1.0036527350825672,1.1711433051426494,1.1651485570981996,1.1463311693770453,1.2839386912902597,1.1454938990825287,1.4901408685404895,1.332837651982768,1.6129620215091267,2.440621847000772,2.373043222860923,2.210017733304631,2.439320748575402,2.2113355320348735,1.7117649557447119,1.8048354630870984,1.4769300900853426,1.2867095454301662,1.3427331344174227,1.6365892451728492,1.271353870981636,1.2691010283275805,1.453407482004065,1.6699156394331591,1.6138818294553914,1.327861055858416,1.2129901029808157,1.541860852701687,1.4364562305844213,1.5744989369943936,1.634333214686963,1.806181399993122,2.2415262252773145,1.903816043551826,1.7813623033602508,1.6034267278765457,1.8740610000833358,1.4527015515530834,1.4112722021578514,1.2863418487085507,1.2811392954163392,1.129525000648566,1.1352145022169746,1.3967600614152433,1.0927907153031036,0.9880417330710317,1.049158358764985,1.0861948108736408,1.119537457752416,1.206242724269734,1.2805447961868688,1.4132826660163944,1.4953947975154505,1.5312730484815456,1.437126523740898,1.3618040511093485,1.5199155166673943,1.4541586206645196,1.1985555891362223,1.0756058811672613,1.0996542782064729,0.9479549496487377,1.0326710131166605,0.9496964047453613,0.9853481374487677,1.0022692566543012,0.9706153071779136,1.2497210715432092,0.953982000097774,0.9606453068730798,1.1180865283486678,0.9054068079926151,0.8344987023237375,0.7826842884644755,0.8057023553169133,0.8882565975924246,0.8934689042548131,1.0449069433505462,1.0227882287265517,1.176098685532099,1.2216847640142088,1.1473637907110745,1.0871222104534664,0.9248801753480629,0.8182666745947473,0.7749843510780686,0.7592188587112053,0.8231116750860688,0.8107629266596266,0.8618541118422176,1.0377190320782068,1.0134828355501948,0.9682608651303602,1.010449481047592,1.11572279574209,1.0496131948851943,1.0193832130403733,1.4099299135150114,1.3309417640164058,1.8778345522351434,0.9556097625695935,2.184931710597127,1.4852279662434487,1.0985544851244011,1.0560624427355145,0.9645444364041733,0.9755104709247016,0.9010255589845708,0.8894290463991169,0.8371039110591612,0.8406944442775872,0.9255677330665818,0.9555235181139606,1.3991272533899979,1.9364449237209684,1.2381724082137027,1.0225077215889258,0.8936875786941014,0.927817262370692,0.8777615276680683,0.9665165594105821,0.8542659199122972,0.9366331465335375,0.9119754974758699,0.9207029289270874,0.9193772053384808,0.9248986639843224,0.9490469686320309,0.9617023534331182,1.161365055001001,1.19570910567083,1.0653642704707023,0.9375209578222429,0.9301155072683934,0.903006606090798,0.8947610786729189,0.9165532940736391,0.9355532356082984,1.104479849689866,0.9689395275792713,0.981892270201441,0.9049436570125846,0.942080205729636,0.9533653399268796,0.9296993412529738,0.9134373898218302,0.9726733325165177,0.9923513166013506,1.0834183932540138,1.5825426011642971,1.0404398877476901,2.05301896205812,1.3190672235905392,1.1380492276874261,1.0705006691318237,1.0576816942018006,1.1027508879104437,1.3151710795387572,1.0831763876251281,1.1371961773501984,1.1077179929648717,1.3631105932574445,1.4330678184933308,1.2373702136691553,1.3802815768543581,1.5995647627433707,1.546865340621102,1.5121192178954617,1.5959911704969123,1.8880180120902612,1.6022717966494628,1.6056015118758487,1.9033157978443844,1.921550006074469,1.8242220183429267,1.7495690467337026,1.689080527675015,2.0159259149789235,1.7191550937278723,1.6910533152200942,1.9304389675734444,1.924491657036372,2.7511279042119687,2.2727324605879606,2.865986824243759,1.9990146805323803,1.9262237819530057,1.7842245863363602,1.767832641673407,1.7736728332011884,1.5942209306296493,1.6217722457278982,1.5856247086744906,1.61220419008366,1.4071995894562745,1.523095036684289,1.3640006692384294,1.4873815429204789,1.3635321513137126,1.2823151344859682,1.3231349142049993,1.389767179643808,1.5873938014588624,1.6200051979473158,1.9657914843442523,1.7175007831660032,1.555480582447093,1.8728130773183145,1.9968156476837073,1.6951442561597847,1.8335811943075397,2.144172488099683,2.1615976084808795,2.011316433029623,2.224683178342088,2.3945686829590063,2.3130160526114536,2.293294429989397,2.404625343927207,2.1864650976938482,2.1745695414447295,2.0092383716879385,2.0150424628524912,2.058840033611891,1.8633620869644691,1.8091236114837586,1.8495648776210334,1.7938207092228913,1.6068839048013837,1.6939098491427846,1.7091288683818864,1.53462735021718,1.5257550557581003,1.632908162995395,1.4893010089849545,1.4606496001512088,1.3004274936189155,1.28408116836788,1.3594956481800027,1.4993152884238192,1.2594130753583646,1.3555457832588031,1.1789438112565058,1.224970904237775,1.0975850122449815,1.0391927518884272,1.0815855944729105,1.015877630934129,0.8030368918326937,1.0514661334646496,1.1363479673887522,0.8779287784656262,1.2236308462182461,1.4896655722565801,1.4269561516038887,1.12716076979454,1.2309090981254287,1.2778598153996787,1.009088218633649,1.0930886728725449,1.065201022343519,1.3389269489341642,1.0120737159186468,1.9497829888846208,3.3328181398483516],[1.869026850884049,1.0430126129664417,1.2661123992805157,0.9996132269697234,1.0163086500566845,1.0837595130823243,1.0280112626527278,1.1073490019899046,1.0648704083999438,1.1609046930766052,1.278215127961925,1.2982052773428285,1.2791275084753073,1.3398258924316457,1.6479794753824248,1.5174584387397418,1.4845940017698878,1.6577302059311354,1.6755643589715548,1.636648659062938,1.7480906287228697,1.7479021596274855,1.7492816000366929,1.7624714063678437,1.582612837409815,1.6199410283308633,1.5272285468832376,1.4700250219829991,1.499427708492259,1.4358777519799948,1.7058400383362355,1.5042093373180196,1.6080217322845196,1.6695289158089526,1.5467617922568944,1.580662281227692,1.4597719586674447,1.4841314943333088,1.4222286840508516,1.4024337481728975,1.5625224026004298,1.5218069433275212,1.5418502668856715,1.6393981682741885,1.4968341663881897,1.7703910334589372,1.6458495899007113,1.9445224958891674,2.6386672548822534,2.586842527827128,2.4604602435411134,2.6193196127983356,2.40913076128146,2.0011442554551944,2.1226618096016634,1.8383315419376165,1.6816966813400642,1.7322585001711703,1.9962506091755892,1.7698526058396866,1.7135737516881901,1.8790501126613806,2.073113015009178,2.0119444946750376,1.7240539835567577,1.6509149305006259,1.9051062569984087,1.8042469172596352,1.918790293711518,1.966808066571381,2.112364766438835,2.5265617882483533,2.2044521543374986,2.102138573403818,1.957402142930455,2.1924456422240826,1.8410040718650376,1.8043409090502935,1.6875022299742217,1.6641397405983718,1.54051326620791,1.5302497559475874,1.7108695094457946,1.530933007859795,1.379532475576345,1.4381735804725355,1.4855424004355313,1.5600957228306926,1.5949344977953477,1.6815201939984525,1.810693002010574,1.9193892614310337,1.9312928373384968,1.8415848518604512,1.7569530103855595,1.8933995232736578,1.8426943917228673,1.6000626587157423,1.4455898940482148,1.4135077028392347,1.3248218050226488,1.3667237217670865,1.3173645475031048,1.348859032979715,1.3852400829720437,1.3062887326539403,1.5509797837257255,1.2886945326419519,1.2943322721288621,1.417964737819403,1.2193243726314213,1.1839733612869572,1.120172363800582,1.1337786805967425,1.2283323656011491,1.2459402776318007,1.4011708112757493,1.3856259675091842,1.5767410856650808,1.6213191018050175,1.5083167332253797,1.435694064193872,1.2670022489156325,1.1569123176563856,1.0958177471021184,1.0807965505780315,1.107729908406105,1.1127469195663702,1.1778626475208434,1.3505924253105752,1.3407688768023944,1.2925450919229113,1.3348731828492983,1.412219013574192,1.3703680497983466,1.3352468031570826,1.6273441550005958,1.5793677257136303,2.0094879823806227,1.2566742809001894,2.3186107961026776,1.669499820403907,1.4671906833697617,1.395779615161652,1.3637483573745952,1.3700952266988211,1.2877079259188267,1.2694085243202946,1.2053257946783575,1.1879158608538691,1.2529860945495535,1.2687222524864668,1.6581483075860595,2.056908431745974,1.4824311624815272,1.3641701576094616,1.2572414834871046,1.2842931582454307,1.2715231712926351,1.300496814986348,1.2410221227605984,1.3228314061923172,1.291191979604205,1.3194887215047915,1.2955155369218474,1.2567369691344654,1.3012608812001263,1.2762351920693762,1.4121982419028885,1.4562763821348663,1.348007622748238,1.2581925830800096,1.2961229106297476,1.2836900221640068,1.2802241400462218,1.2942473480981924,1.3160530181550347,1.4174208732411655,1.3444664206249637,1.326035189984321,1.2881429907465616,1.314997278897949,1.3163411531516536,1.3017172705716442,1.283112221836856,1.351446105003851,1.3599856122319982,1.4722852032311387,1.7777904101068915,1.3879300571956352,2.352174841468944,1.6092030274948819,1.431654313759823,1.3735350772748167,1.371716534311458,1.4023064871655075,1.5757006328426548,1.3802033868219734,1.4204833550396752,1.4026733211611124,1.6409818181213123,1.7018749272401825,1.5031156626929179,1.6250399641365354,1.8435760145930833,1.7732203711391503,1.6902566463277124,1.8038161478417851,2.100077647433188,1.774735077891722,1.7772397642785924,2.0850711066821432,2.07161084362444,1.967348096153702,1.9026850995625173,1.8280273250383714,2.1937957011487197,1.8998945865712995,1.898671306988789,2.144459876771719,2.1662678870347225,2.9873910909446644,2.486492403682651,3.049672426733765,2.255860983343602,2.209587226620222,2.0742020146702163,2.064188019991445,2.056029510495456,1.8664276648265765,1.8963400791513787,1.8613184523265978,1.8588836288503925,1.683696262902584,1.789216427514337,1.6200765548119234,1.730584460117778,1.6282664652444592,1.555349009476786,1.6225419259877578,1.6938713623421497,1.8661134438731095,1.9231481975976568,2.2394588661689774,2.0182150016918206,1.8454593331974338,2.1459771442398083,2.259083655376688,1.9696988427913955,2.084793885039547,2.3986925605001437,2.4055418888706424,2.2316500284323975,2.4790560282878493,2.6632309974113277,2.5334861961491058,2.512106582591259,2.6575356001515016,2.426158081732496,2.4410851596710574,2.282809798404555,2.293261819699987,2.3134635125464027,2.100895140791432,2.0728978586481874,2.105269289288008,2.035072286935972,1.8442354460562334,1.943839173178881,1.9507535530419082,1.7673769241969206,1.75133109264723,1.8895854867758295,1.755149835211326,1.6929766991097024,1.5349936981264385,1.5072860281713567,1.5201086775856123,1.6951196451318475,1.4404119161970992,1.546945991340727,1.3665191866976583,1.3814771603261593,1.2970704933554427,1.2394463782522256,1.2641372672855908,1.246350315499811,1.0867104614591727,1.3382305997703459,1.3616786902822968,1.1518114658233491,1.5091679561701397,1.7470873210840059,1.677406778948061,1.3765937187264823,1.4380014179920675,1.4756959233159153,1.2225102601287052,1.2637528526069113,1.183054243161075,1.4895296535712363,1.239456937525394,2.176201871782454,3.448395483054517],[1.7919576909975772,0.7482235260522524,0.909226425850794,0.6961336162585362,0.6453837947732669,0.7689443391950554,0.657008397694394,0.7264404999503471,0.6621727216617501,0.6975247296116793,0.7623940330035355,0.7939534176184655,0.7449100824498037,0.8225430657774983,1.1194537374975118,0.9603889617892989,0.9760291057401919,1.1716087582150938,1.2272253945177674,1.1722350479277717,1.3300169833465851,1.304885350895465,1.3694037102867744,1.460972582516567,1.1439890932880217,1.2032568716258252,1.0943772535117255,0.9995608590614481,0.9926904918756344,0.8996402007801951,1.1754617070816102,0.972842654923183,1.0878243838676316,1.1471688902409123,1.0152003002231025,1.0579460796625784,0.9640130355071767,0.9808025384221891,0.918470455433286,0.9179644811634075,1.0934609944771578,1.0610232814171847,1.0419102137119982,1.1589837572085508,1.0029204614079912,1.3166478050070534,1.1541063541339573,1.5299354838457258,2.323201216745833,2.197341471744529,2.129448921979808,2.39190711612442,2.1494480016916713,1.759589945245974,1.7830764192410842,1.4446214500139267,1.318615590092902,1.358444938763203,1.6107025808400417,1.3385476713149675,1.2717766550661833,1.4558675700312362,1.6495039827624416,1.6865407522115743,1.2822174230511703,1.1869396466272955,1.5074126969276223,1.359571744111812,1.528137069039108,1.536896175985077,1.7727526044405488,2.2297550042730543,1.8215416315420394,1.7190885219142884,1.5104959015215105,1.9019919256205653,1.3889798684766688,1.3466634899841057,1.2031564985523573,1.2019810113422824,1.0613146714955295,1.0503688464779681,1.413728224107399,1.0820461824664285,0.9187521120415207,0.9517649385942573,0.9835761939703589,1.0492291282173767,1.0981586469125932,1.189666107215146,1.3301689413808642,1.4546742331688751,1.449932705291437,1.3043336919810153,1.185817242012241,1.303006847473246,1.2918531598763945,1.0448977082611648,0.9348851226369328,1.1839071130877632,0.9515852771087142,1.1003709654412772,0.9483632582272247,1.012668836174366,1.041602241165504,0.9613076414487303,1.2548323130945789,0.9315468129116679,0.9227028476003518,1.112625879650969,0.8686315237238763,0.7626306468478888,0.6876566545819599,0.7079747326121916,0.7611583950655502,0.8118044070451919,0.9718263464578687,0.9504037170310056,1.0934844292462307,1.1671157571289266,1.0925555998936582,1.0099882079346236,0.8641686369676439,0.7213647630875386,0.6878223647577608,0.6723864371430791,0.7497666844839078,0.7163247411348841,0.7815533247029491,0.965614975664844,0.9395245513569779,0.9120367867068173,0.9206999618496863,1.0461531175944683,0.9505255914998127,0.9148995676139113,1.3185645943122914,1.2384450193870002,1.7955733437994632,0.8472116341018072,2.1817786313246437,1.4447487723949413,1.0411691616087526,0.9930478744669431,0.8847092894171625,0.8991324708625961,0.8164532096525785,0.7921642859048272,0.7674274611513909,0.7532439998150866,0.9221778053107785,0.9831253133978665,1.4472001487349826,2.002896116997153,1.389095633482702,1.1198540788640343,0.8686717487603369,0.9502821468939909,0.8374480600101623,0.9422311760361989,0.8093466529666399,0.8661687964002627,0.812678544764081,0.8269378904518032,0.8057479490561773,0.8090869059024712,0.8311220806096016,0.8075117961534226,1.0305194914448237,1.0795247429999388,0.9232988216513889,0.7892080238274485,0.8382233571855658,0.8374393021649684,0.8323743971881384,0.8850607208239468,0.8533674325365945,1.0384670884176883,0.8965139801525103,0.9288138675951816,0.8463035577958194,0.9234901740265833,0.9250315577436433,0.8881549023692579,0.8540472396731073,0.9175157224211257,0.9109780136526839,1.0757069094439853,1.5565288712888654,0.978591626514319,1.9786911328203114,1.3483007694839766,1.0701624093501911,0.9804095617331464,0.9564297674702669,0.9944803139092431,1.1978882189912194,1.0068684595383104,1.06806972213079,1.0468248058989766,1.3235596963426468,1.4103163966811778,1.194684672920281,1.3345892153195278,1.5771843826370107,1.519690466134088,1.4789735030564468,1.556476004376282,1.8824965180767053,1.565323580738251,1.564384920020073,1.8947184920285625,1.9083883941898336,1.7639645096447818,1.7191841296813313,1.6505043328647484,2.0040145297191727,1.6761527500720352,1.6605586160196713,1.9268447081306899,1.926429168982083,2.804228616439445,2.2961810483429517,2.879897270547827,2.015730219476202,1.9530416806323634,1.8088172563101264,1.7768432792415247,1.7856993781697565,1.5767817735369718,1.611924356249277,1.5652318377739054,1.5837646125726905,1.3680108854719717,1.512730761816811,1.3000708631796651,1.4084918598645055,1.3078785912828181,1.2235079991982265,1.2625818436707616,1.3759420828628433,1.5899151730068561,1.6560443183943532,2.0309053030491477,1.7692951887017883,1.5743393823967735,1.9236336502677525,2.076705974331097,1.7339966668060935,1.8540634544039767,2.2000705975231147,2.2121167616843316,2.018522894522372,2.2705902326570726,2.4703309924894787,2.346079543437978,2.324562537945184,2.473205505360761,2.22315496353941,2.2241327886614553,2.0453339062018516,2.054713642484911,2.090389255604038,1.8594798032557895,1.8166412781765802,1.8482285799923848,1.773048703866602,1.5643595413791138,1.6651702739773533,1.6593661059068472,1.4642617747785303,1.4556802373341131,1.576417721774996,1.4214685413753685,1.3775995129475072,1.1906446318281039,1.1748933635500058,1.2338254411108978,1.4615981677245005,1.1689717499456822,1.2784897056904274,1.089457395454612,1.126052426316347,0.9903352296590159,0.9402239384685724,1.0333376028995849,0.9230808919067413,0.7386638207652415,0.9743736085372448,1.0772323299458577,0.8337208203123009,1.2018197755119966,1.4850396020236643,1.4107282331869129,1.0834356581559914,1.1878732285052367,1.2534766137374351,0.9508296030197025,1.0399384826113605,1.0395064563836065,1.2332243737196866,0.9898433059830627,1.767816216819687,3.2830729999783728],[1.854456492166417,0.7762627250115773,0.9155286235199301,0.6802526964874879,0.7123569224486709,0.7628918455913317,0.6556698074911876,0.7322243982915351,0.6539089135332892,0.6630682458433532,0.7478352726630823,0.7917847935921845,0.7628522186238458,0.7898736175307457,1.1383066067520262,1.0031560157380879,0.9933446749710091,1.1819358684592396,1.2268730625056055,1.1808682922952956,1.3302833447068207,1.3222394411298342,1.3589395129915278,1.4469867599373087,1.1365110625613564,1.1869066645539863,1.074099753273432,0.9898580666145592,1.0092100620257067,0.9441977150124257,1.2234425962704336,1.0633438831498114,1.1763342531354675,1.2472425599720098,1.107409812908764,1.1215275407455854,1.0372550053496974,1.0189599456005325,0.9358113025867673,0.9391944517371547,1.1234033945338109,1.0733120951225885,1.0600067650054936,1.1656164885724727,1.0299710100329194,1.3548564137224746,1.2039793319402232,1.5685811553992177,2.363790234340939,2.2776569393289763,2.178601949023241,2.443314404136285,2.221273437937268,1.7431667270168067,1.829732261540208,1.5447797646216006,1.3587155935639503,1.3957250410044326,1.6821593195279974,1.3904919555396393,1.2910111994705167,1.4999078132049783,1.692481057308072,1.7359194128101199,1.3205864752219887,1.2163918296598015,1.5204145901865298,1.3808983653114053,1.5405025832125838,1.5422549269193617,1.7570127599403604,2.2305924911431716,1.8384785018494738,1.757280509596149,1.541409433609737,1.9581211648625925,1.4483209424874743,1.4347537456274864,1.2876544506520633,1.2752940147807743,1.141313508195326,1.129756167693781,1.4499078607492784,1.1325561599944765,0.9637481461223685,1.0149254292709569,1.0263387242796764,1.121825708226769,1.1512371414302447,1.274907122813639,1.403535980304617,1.5363622347759531,1.5303760368603265,1.391205961830735,1.2523351468159878,1.382734305330206,1.3026778931883394,1.138973813839654,1.0200555549760493,1.2243004285449615,1.020472394768803,1.1641118135076474,1.0059103525467423,1.0653268783448262,1.0859705040921537,1.004179334218144,1.3231471413998093,1.0134067551415538,1.0093734703038826,1.1252896998271469,0.9064105037927842,0.7638321968194549,0.6959736538518374,0.6995022633524148,0.7332843177383678,0.7682011423584689,0.9542859482567546,0.8914500754942802,1.0738989412101003,1.1549748090149747,1.0565964084733879,0.9803207798170492,0.8036910918339633,0.68247356776402,0.6443369496603932,0.6618191079639105,0.7577534844588639,0.7368393489347979,0.8285359678381236,1.0014836077415055,0.9595760320091593,0.9687975181626757,0.9471904104972264,1.078300433011867,0.9416195049659157,0.8898103423165497,1.3130393552783588,1.1877098815552862,1.7501595524665639,0.8460323541635738,2.229154149511443,1.542274082691349,1.0147996259190617,0.9878852996326339,0.8811027758726514,0.8926957173694463,0.8074170000532345,0.8045347795055972,0.782645775119453,0.7726611685161686,0.9232938533507878,0.9714222753218494,1.4687328027493698,1.9030690774857089,1.3231655665988122,1.1358477917336336,0.8991550059268435,0.9766825531806007,0.879099844126181,0.9817687889233716,0.8300607314351054,0.8839425857054156,0.7787414824660766,0.8423481583149128,0.7671943376677763,0.7617418069493128,0.8258764334588394,0.8093427067750163,1.045673908624106,1.0696101876692212,0.9215461562367437,0.7843152658193734,0.8416843378800376,0.8629868234027179,0.8815762657472732,0.9548866161987946,0.9262065802134607,1.1188338480880549,0.9709319531789505,0.9896526858466143,0.8871037871876544,0.9646910677941422,0.9758959804380263,0.9318012199686698,0.8719406862879718,0.932055009194092,0.9218501880732042,1.091416979076945,1.5762955903399405,0.9862429173064394,1.9799553099077998,1.2876606535493071,1.0658146755338782,0.985444049476468,0.9493949193079368,1.0405801156094103,1.2420865845176186,1.0821515862630537,1.1454842714935831,1.1339919436188959,1.4566157536911248,1.5409828419122875,1.27218690791756,1.4353725193032385,1.7119943350535587,1.6198040684907102,1.544363408511958,1.6819245579264517,2.022147741319758,1.6591284283749332,1.680427382810288,2.053465884414361,2.0243052128218,1.8339806194141248,1.8579481989322209,1.7621237835820245,2.1603353795666154,1.8242047177178458,1.8244363411244928,2.1185571243870975,2.1447741548827275,2.9490567503245115,2.5716271936608504,3.108645142403888,2.2309612759775637,2.182494912925282,2.015638053631019,2.002699997108025,2.009221808775923,1.7582682238465848,1.7855462416987142,1.7581721313069663,1.7666529384057112,1.5228261854119665,1.6051244906693019,1.4605747969956828,1.5210258394519747,1.3831106528816461,1.3446174664934214,1.3932629110407675,1.5202058139505679,1.7344601395815225,1.8139071345783362,2.2344422974412548,1.9289100723903019,1.718028938952258,2.0969522263406875,2.2153460939030065,1.8640618077634041,2.0048768502995715,2.3680310659385624,2.3549233851110576,2.1349322076999906,2.454186424879935,2.6641334467649576,2.4906596898313165,2.497925449726905,2.684886631625067,2.427197172166873,2.436234509343872,2.2350170318259566,2.2685039384210857,2.298952724636027,2.019219086534772,1.993655102273866,2.0412458777943554,1.9531986081697494,1.7117000052096771,1.837084116918482,1.8270588732672632,1.6136594222614353,1.590991942951935,1.732310831631281,1.537238568822601,1.4979157044426965,1.3118191782809963,1.2931070563117708,1.2712299806415257,1.6150478498453822,1.2395866646501772,1.362297182741275,1.1491916299668612,1.162828113590558,1.0184357853103716,0.9823320150743899,1.0546272737987006,1.0166947442416,0.7879295749976426,1.0276658282477231,1.1124792737451448,0.8843363706412983,1.2364482261216185,1.5255092810247914,1.4357451684506362,1.101965123248548,1.2296132167585112,1.3119908448383952,1.0072353803371197,1.044190342038836,1.1207092567012313,1.0873777769464614,1.286287727671607,1.6610312582066595,3.220744735080699],[1.762549214270268,0.6301142964661212,0.7377694664619592,0.5169829102596667,0.5612687988805362,0.6471090982375162,0.47462683194361466,0.551885188825613,0.4617068342517656,0.44381987498339354,0.49795680465524045,0.587286375679098,0.4859287937483595,0.5750402611447012,0.8879011675657007,0.7379093110823063,0.7810426647678247,1.0087366607369121,1.1100447374860785,1.0160468759924557,1.2162712355924188,1.1921182567231157,1.271099205586669,1.416853759016253,1.0433665986854004,1.0966082893253988,0.9379245369355405,0.822029236504057,0.8123795640086332,0.7098648203662575,0.9724701392424869,0.7737297346885502,0.9137794584539339,0.9601991277094117,0.8263704239747078,0.8747364988953354,0.7646791504487578,0.7907973001798909,0.7431756455954532,0.724570961475796,0.9750821673376777,0.9322928182777529,0.8988925680873802,0.9869679812397805,0.8886088565313607,1.2027978400484862,1.0296014858906442,1.3511383413751565,2.2214771808987543,2.0161045293381634,1.9588918423702242,2.2644815600281314,1.9966944790707777,1.6521365774205155,1.6353875031907779,1.24283250712943,1.1949519219531868,1.1916841639442417,1.4045788621052033,1.1024867811388037,1.1275180056981366,1.320367943645814,1.4672349524249366,1.622881696999934,1.2194952030436284,1.0429777481975189,1.4256479743881718,1.233231754991531,1.4229105388115282,1.3905317248148663,1.6532160725040386,2.1512547173976357,1.7143082456759113,1.6684529380283772,1.3742066572275948,1.7868825444899876,1.256612587008427,1.1835686438500166,1.04248172820702,1.0577059145078418,0.8848621354130001,0.8680047734168718,1.2676572127962837,0.8894642937738978,0.729386146691229,0.7540377549369548,0.7903646724881211,0.8567214384079829,0.9517650714910897,1.0144783566870395,1.1585843717605044,1.2704991228738485,1.2444107797449957,1.0814974770434391,0.969159030699185,1.0949941903665636,1.0189209423042178,0.8157222941541371,0.7463937113954743,1.090870410829917,0.7754690806800426,0.962256043775567,0.7569283915805683,0.8501450658230133,0.8678261031099855,0.7529818528014606,1.0663242090584732,0.6852873507531927,0.7064407571437125,0.9755995144863212,0.6699443293915388,0.5592397225176453,0.4913869719232152,0.5340452982744598,0.5821938989757905,0.6088816683983201,0.7982024898051365,0.7426545341920862,0.9261945872315256,0.9896768455397775,0.9091868704515081,0.8244764537170848,0.6979892926843181,0.5118501567478843,0.49402243743814145,0.48900204436452455,0.5600324125024512,0.5055386285469249,0.5788243576800456,0.7413397869261158,0.7076914239826987,0.6825649636912874,0.6933934939884863,0.8191751166205384,0.7358489115859703,0.7001000726772152,1.152405620627656,1.090416371431536,1.7501311890110387,0.696701937533432,2.2038933041586612,1.5842749185940548,0.9378923476114736,0.8768299471520287,0.7044225574361992,0.6945854428592539,0.5999856668147063,0.5667514586763679,0.5461598119532316,0.5702199846424373,0.7492639295059967,0.8576178024591729,1.36743848957569,1.9660372850808792,1.3413329939474496,0.9873982302959043,0.7053485085055223,0.7971326621301509,0.638429547407687,0.7337059224214731,0.5587192818374858,0.6462134372929114,0.5700311756326387,0.6041924984024614,0.6304461033680427,0.663272038169746,0.639290050709786,0.6811104544141581,0.9094825678415388,0.9514954108790641,0.751880469764848,0.5967991912066897,0.6247733301371778,0.5955234440960401,0.5887567471219388,0.6608706135260363,0.640744613248531,0.8675384987256063,0.6607373080835728,0.7234344056687239,0.6003352752780946,0.6886494051486306,0.685915703590145,0.6339109828899258,0.6044280718010089,0.6931624196427106,0.7439733297182,0.9115999077575101,1.5387150139341967,0.8899543896184651,1.7566722357183207,1.231562010103901,0.8666218791431491,0.7629664057015973,0.7579024071660262,0.7681624639448521,0.983730276826832,0.7934144680409817,0.8801625836876106,0.8461113398473492,1.1612339475932487,1.257140062328121,1.022479763299908,1.1929266215882772,1.4560507591627831,1.4004262284164661,1.3832959356211527,1.4734216491545955,1.8057418954662146,1.510012687901838,1.5237010884235018,1.8724542876352426,1.8928639215441518,1.718081604029585,1.729626220538698,1.6572159102074484,1.9931623832990337,1.6670336045777283,1.6145983816788252,1.8976579634032527,1.8877791644105792,2.7111814216106667,2.26887021726177,2.8085551335280865,1.9251005893603408,1.850974414807437,1.6827517107260812,1.6434296781326279,1.6673985108340204,1.4430450409805669,1.4681576513740324,1.4298079733264633,1.4752632802622458,1.2099547483483746,1.3161735692400194,1.1546907124218404,1.2785807443244754,1.1488804737713,1.04367284864535,1.0939059189433311,1.2123664055245618,1.452006238872657,1.517813204831153,1.9170815115868345,1.6371500591492256,1.4362894721671187,1.8067682451782279,1.940759195103928,1.6097241054551459,1.7377289275549264,2.099161356415798,2.113349923099732,1.9295288582370629,2.197341686912742,2.408161505797595,2.2944983930383924,2.286072763703371,2.440851760982787,2.182435900037826,2.1551821433809915,1.9429888244753621,1.9572968155773687,2.019718012238203,1.7703809264437047,1.7087827966661266,1.7583569716605822,1.6970466132740671,1.4561717722719594,1.559712709150533,1.6116087078030616,1.3994940438427408,1.3684836549735326,1.4649215513261586,1.4126699343849765,1.3332261281983542,1.1619014852646605,1.1785421215358993,1.2571808649525558,1.4853639538527317,1.1792850359717901,1.2368103685377714,1.0467517326995253,1.1286530355185715,0.9721139194300055,0.9483642277148828,1.0653413823505917,0.8069506515210912,0.627299394009789,0.7786904890631,0.9488453936444868,0.7043636563582828,1.0248372682983826,1.3428491101853242,1.297720843673365,0.9393150427108228,1.0997971787172298,1.173625315955353,0.7963301551600352,0.9898691810775107,0.9947674194161614,0.9219905008822132,1.024254481954214,1.4801497355656799,3.1267172248564843],[2.0212427164119995,0.9457548187267444,0.9502105893107735,0.7447555299063137,0.8504803571302385,0.8685687488524756,0.8341166715657811,0.9787992162922218,0.8937848268110073,0.9114126334831011,0.9807112404681133,1.1119329518169956,1.0310505595751964,1.0118278884232499,1.2621209635166786,1.2089388701812753,1.2199153008799448,1.3991107564101897,1.4625692523912175,1.4208920019929236,1.5970380318018802,1.5708043912996177,1.6492773683928,1.7637695587499795,1.428589571844174,1.4466513934252363,1.3304220904615915,1.2342631560068422,1.2645378396824678,1.2185030648792983,1.4415292666958541,1.3366121202625887,1.4711886272811512,1.5030004680878593,1.3877220821089997,1.3767188415519631,1.3026994604338553,1.2862167254965928,1.2202990278232713,1.244253243185385,1.3725482167593315,1.3601384939556833,1.366451989681362,1.3935571252378782,1.3276347507354276,1.5319302614642056,1.421113590346258,1.6717874326006066,2.382159046508397,2.1972971232360416,2.223402635196472,2.5095915348635542,2.2699817881028785,1.9668612548689164,2.0218705286106973,1.6821872606405823,1.6445979358038294,1.6827447362472814,1.8201357096397828,1.5796694720422464,1.635765778944777,1.755078968327012,1.8287331637798907,2.0687195195492314,1.6993854571265692,1.5170989893226523,1.7808228515189206,1.6202596000408673,1.7226780215496726,1.7070657449922457,1.8655458347908978,2.40137045654878,2.0255670923079063,2.02733769606964,1.7680056754522433,2.217154454055651,1.7178938571258968,1.672280903943518,1.5442517576424744,1.5500597147113766,1.4317253588684398,1.3941299364917086,1.7810889947706052,1.4701745045948569,1.2387241684405985,1.2890225381423286,1.327066547420124,1.4143346246408472,1.4489906040926654,1.5563435029175818,1.6184549556956374,1.7460976515014384,1.6888134209253622,1.5787277422156512,1.4553064080907843,1.5527572350944674,1.4597707770234876,1.3630508748081376,1.2882405014268805,1.574710069789216,1.3513392366036372,1.4624792061598135,1.2922418545864123,1.3121431096486333,1.3173666150228098,1.1798618148339786,1.3431769256127486,1.090262935257403,1.0656500141998675,1.2657142085804314,1.0169321143344159,0.9814834682575608,0.9452018738227543,0.9437865732135438,1.0023668275628494,0.9978974570793291,1.1733371514491364,1.0978648421195094,1.3111370314682738,1.3853457414180794,1.2514776727111903,1.1799815770259559,1.0100869098963832,0.8851940486164,0.8650610276354357,0.8644094339201657,0.8727473571905472,0.8704302817458386,0.9578081908679223,1.096056640591425,1.0141242316337824,1.057577782402191,1.030169734143264,1.146560749467134,1.0255016232002556,0.9786056289812674,1.223496791179658,1.2347261857848997,1.7980316930561917,1.0293907261663569,2.435629987768408,1.8556165240999971,1.255782189555882,1.2469653531582199,1.1529470598811389,1.1304948270700534,1.0431395406543877,1.0426447849583917,1.026941755192914,1.0257011932957867,1.1524882948621538,1.2431159042440376,1.6811098673947635,2.1706726348488568,1.7101760497667398,1.4362134879648014,1.216842621407779,1.2511078612352011,1.1757861804905876,1.1908982181780068,1.0366941867292676,1.1296906722698483,0.9936443020646242,1.0781148444241633,1.046338497776144,0.9925465190109808,0.9667487727676513,0.9716306035294415,1.1127030317183102,1.1329906579737927,0.9797255833886359,0.9207197171651047,1.024413962086152,1.0701996900688073,1.1097650811614916,1.19637273023136,1.1990600617217506,1.3582640488718778,1.2220918732519745,1.2572429046624214,1.0982477565529905,1.1376827302999295,1.1193163291568444,1.0831288627351336,1.070862308077896,1.1764273661840048,1.1731987704087912,1.3032914288589972,1.687756238613765,1.2248062115515468,1.9241689913852542,1.4476735304762038,1.1400867118717224,1.077845649112416,1.0512802202454519,1.043577098878616,1.0894341549736,1.0671054955125538,1.104639110330523,1.1082175322608718,1.361015680616202,1.454435391598898,1.2366579066931074,1.3596730468038738,1.6140143213336764,1.5443007614238495,1.510730220784852,1.587214455997136,1.92370014007985,1.5967194072879152,1.6058646401241725,1.9660844028821176,1.958354907727998,1.7486423984192039,1.8056648809194127,1.7117550499564393,2.0930967172984807,1.7436926689651695,1.712594848274181,2.013997845036393,2.0397466349257063,2.8951553637915546,2.4491044423557575,2.8632818683588477,2.074827834848387,2.0351408318307658,1.881373195251898,1.8654971039424773,1.8749614444164484,1.6419240162603015,1.684160665015332,1.6262359883558888,1.63375965774573,1.4032734979790615,1.4746460685257963,1.3438510043989247,1.402312005265241,1.340679440978931,1.235432933548923,1.3396893317495295,1.4272734141733772,1.6537436380896668,1.7593965012776995,2.1250033552530088,1.8713797167456139,1.6525890511785093,1.9995558455600466,2.1622292295090517,1.802257714043499,1.896593751306613,2.2620967463099206,2.257905229850755,2.0537802444083995,2.3435530108706453,2.5530260671792475,2.3955551809813644,2.4065055062902223,2.611400900194657,2.3256337206831272,2.326458103403398,2.1147370358257698,2.1368004490567443,2.189088888995367,1.9021019723441726,1.8616207510714853,1.9095054900312698,1.823028301011578,1.5955655597727918,1.7084144190117934,1.7400059089695314,1.5142076152251844,1.4855845053482588,1.604722307336851,1.5064395776277482,1.4485262349796613,1.296873688421057,1.2864780724187657,1.3290020088816377,1.600809280301431,1.2515891803202923,1.3041183095244238,1.151207400591833,1.2276165734277227,1.1096653825440848,1.1265481774931252,1.2547758359808105,1.0437124960703774,0.9641491554474091,1.0190360734255184,1.116329815181379,0.9534050768162705,1.2463455581060963,1.5210164044760246,1.508378863351183,1.1287246388313295,1.2563002482581098,1.3695288613713807,1.0722466214719992,1.0892884310349005,1.204857037696298,1.1804847916724537,1.574905710779767,1.9374527338279026,3.363209856228551],[1.742807662852023,0.5739797485964316,0.5439115640201737,0.3921544088476906,0.5063074607434804,0.4840272325513219,0.33879058242671134,0.4345955861935004,0.3573969753595139,0.36963398243767215,0.4499242527740443,0.5220568333340028,0.4340769735175492,0.5096467438149813,0.7963870473130955,0.6751912015460894,0.7302560534031917,0.950705356032331,1.0732307443922178,0.9741535465805848,1.1866460567392074,1.1758453960264659,1.2630460136975297,1.4583470835198946,1.0238244843654625,1.0749735933076217,0.9026728540846717,0.7839974307363704,0.7480879251861041,0.6511836474184814,0.9044366171976518,0.7322648121666103,0.8794810416745105,0.9088309005271468,0.7797850254291897,0.8152268478528971,0.7050758375721506,0.7277392634736258,0.6752115466631713,0.6530755130459276,0.9541099408085184,0.8908939652218706,0.8625160826247273,0.9232483186291117,0.8683614607446065,1.1914487554405013,1.023391101234094,1.2795492494508744,2.1840089729654353,1.9475725639939196,1.8865207698991266,2.2182354107627504,1.9365227662840259,1.6028183328448984,1.5601211213533555,1.1625347356193314,1.1643234273119973,1.1224173843528902,1.3192933773892987,1.0051133209532086,1.077851742678312,1.2536223391052803,1.3750959701915695,1.6035679667922058,1.232424608497154,1.0066765353222826,1.4039876550365817,1.1869579785498232,1.3943677112050423,1.3217418954318727,1.594395426930044,2.088116231740032,1.6483545912778095,1.643000056840244,1.3201873602318674,1.7810215414724198,1.22046124695468,1.1310911391184275,0.9907326962974963,1.0110743100040345,0.8290116700447058,0.8021636516819469,1.208617107074199,0.7842985533199344,0.6510057544565798,0.6955371646963149,0.7302686329954311,0.8042483043742856,0.9010479057806156,0.9580803862243223,1.092448821011737,1.2206142987035624,1.1645893805258816,1.0167864149129107,0.8961397843488016,1.0208005143434793,0.9131930734924086,0.7796828035232864,0.716217524197135,1.0444366440381618,0.7445687852925816,0.8952464972362469,0.6871301893434519,0.7680214636214487,0.7715497681969523,0.6482787306242256,0.9618514586552613,0.5431462856345465,0.5565326959036722,0.8650270277401978,0.5305596095068961,0.4277973262189188,0.35598240829662436,0.4398397817872352,0.5317315516067557,0.5643744107513287,0.7699951689637469,0.717815387450225,0.9090002231875091,0.9557456358892183,0.881820247130322,0.796255317282764,0.6646461985421581,0.45314746104705833,0.40104377346124725,0.46063890697731447,0.4367526465454596,0.4178479911251758,0.4504616869181069,0.5932985057407724,0.5344479341415757,0.5454835258200722,0.5203594684589141,0.6783025135312636,0.5522898686177214,0.5069256739802184,0.9780151100818383,0.9281042517241824,1.5999662739043836,0.680108803755442,2.2742610661878873,1.8384395758301797,0.9336715344419355,0.8845438150978835,0.6707115058178401,0.6300007055986879,0.5414022073194354,0.4964609631196748,0.4333407259059423,0.45976040176953054,0.6335481170343232,0.7559894962576259,1.2843726463655312,1.8581268454713216,1.2744228242764744,0.9120281956898982,0.6239959442083999,0.6936271875135616,0.5522550258074792,0.6227961764463338,0.45254195963747557,0.555073075706421,0.47635939018634993,0.5140367554934984,0.5426824121732952,0.5858320910669575,0.5208921395661895,0.6069803380593969,0.8175538368785432,0.8319031292517167,0.598760968243115,0.48764891578203234,0.495333061930548,0.4734074667134009,0.47631759584031313,0.5676295202999273,0.5652200893661097,0.8164569182061908,0.579625430783067,0.6236606471198849,0.4770546316045493,0.565054672157864,0.5587234092831413,0.4926828949448662,0.46179060388223314,0.5864920349315563,0.6832708771993352,0.8321913677753325,1.601085095719382,0.9429668847883187,1.5992846659505804,1.203014627378663,0.8037550206539442,0.6637079368047953,0.5828670225019903,0.5723590089852205,0.7883052252216022,0.6395630210405558,0.733477088200684,0.707092838775774,1.050473075921728,1.1458461186100781,0.8803574924615257,1.06985466803393,1.3506641264835042,1.2795634558584963,1.2654710328791896,1.3798434630240914,1.7219927017377492,1.412219981901069,1.4424300597168762,1.818449957269917,1.8150846740932218,1.5916734688109415,1.6895968269267383,1.6025217329325825,1.9524686627725445,1.6345149413795086,1.5576495837920559,1.85819992914156,1.882997988724274,2.6541067084456693,2.3088571371079976,2.777714878408532,1.8816152629431455,1.8173676583710063,1.6325861769509962,1.588847870314732,1.6352310261473297,1.3684922150301049,1.3802676406464296,1.3636548163727356,1.4345497305442922,1.1242677409505692,1.1675385118600337,1.1099030550470845,1.194235195724423,1.0426975042035957,0.9352924957593141,0.9592474933774335,1.106558998797163,1.3518185717329168,1.4291129377474157,1.8709171268608267,1.5510309716720254,1.3328785858254106,1.736277096884577,1.8500835279927321,1.502139445219602,1.644356215763197,2.0154693519332088,2.0177870212671585,1.824745373668538,2.1338072737575793,2.352649220292796,2.2149065012609865,2.2345930970362518,2.425175404120288,2.156394851783856,2.123499748403063,1.8809358846899034,1.9063964692255726,1.9902086290433592,1.6998394979052915,1.6320576438762802,1.701839460846348,1.6352161976496125,1.3696634087020305,1.4896363720494414,1.5631439060609251,1.340506656285707,1.2915714737221184,1.4046487862569101,1.3649732891466018,1.2966972205408693,1.139939771526868,1.1669805676010985,1.234357017984921,1.532139769717909,1.1445051474720191,1.1517161302345689,0.9521322401256694,1.0974582602332885,0.9588612559404447,0.984872396567357,1.1416944378634388,0.7320416910813357,0.5696619224771184,0.6406885855385049,0.8541906819226036,0.5859926697757596,0.8516339533406103,1.1946949667567346,1.1680709459545908,0.7646959180849892,0.9666791620948326,1.0747216071297447,0.6989293304907447,0.8322233472003682,0.9542022065476924,0.7044853168316565,1.3567050850791504,1.8290333030327157,3.1135497524498574],[1.6935285224505048,0.5656998309574315,0.4983143431804444,0.3779102548137942,0.47760325524699127,0.4693505842097972,0.32477561698662955,0.41295622489922235,0.33421454464554584,0.3493664667586286,0.4208344954973342,0.5114504794403552,0.4219899584882104,0.49710908753136734,0.7625955991867089,0.6530091536760388,0.7371941032161227,0.9723254631666998,1.1385942891997856,1.027210046641281,1.2657761054359749,1.240312683171099,1.3783415556104026,1.6132269105043102,1.129323524415364,1.1642234358874544,0.9609545179151283,0.813432921310818,0.7720720243149507,0.6533671454727056,0.902930682128132,0.7113427350455169,0.87827084624064,0.9044566703434552,0.7819942799902323,0.8299629832556398,0.7088116449733635,0.7628445983217279,0.7246823649828914,0.7016825030404827,1.025164337466933,0.9608117269516736,0.9445934906508903,0.9756857968307592,0.9513444619533954,1.2274510455721073,1.1020920859159435,1.303862287057724,2.183261380250857,1.8641658509275572,1.8569730495838581,2.193324062312533,1.8784440932838413,1.6923737359654372,1.589398334649757,1.1658923363238056,1.2145382291961262,1.1888472691585736,1.3238411893322442,1.073573431626471,1.1651172613612835,1.3464821535971994,1.3958584709875115,1.7232635930357818,1.3573561526790334,1.0982733528042266,1.4684286706437222,1.222340022895871,1.4521241674890368,1.3293460408664566,1.5880470717007977,2.1001841155132164,1.6596148597509988,1.6983043906693853,1.3367471963888902,1.8292156251620415,1.2678761666163194,1.1658104680232013,1.0319627925326018,1.0607519266100098,0.8696789633256172,0.8180754128427808,1.185824147175662,0.7960953678790631,0.6660351255829112,0.6940733185036,0.7653486640796694,0.8125381414993601,0.934535789926807,0.9667196719109004,1.1008736606003982,1.2386065827442252,1.154977589568535,0.9940861280191223,0.873687607689058,0.9824921415054015,0.8678938245528219,0.7427226619078078,0.6869742548563834,1.0639612114653987,0.7279648552207899,0.8867729294335973,0.6608374471679408,0.7345179398423229,0.7260298728479609,0.6027213926326044,0.9002020403339643,0.48347887270938306,0.5119045072148815,0.8317990776860971,0.49439353373193407,0.3975750009603109,0.3392222619150382,0.43486186545931554,0.5388905351149761,0.5789212881534058,0.779814857497077,0.7918167449851088,0.9397462804484902,0.990314870601821,0.9052990408662135,0.7994731489893105,0.6908731936190607,0.4661020150118028,0.39537650791120105,0.4749351847846659,0.40323064514672197,0.39835495119878145,0.39694454688404385,0.5252107448586528,0.47197091814532055,0.47379994134159115,0.4625931090619471,0.6131637579974226,0.5043468835691711,0.47762170253789266,0.9309861773075594,0.8987379502253496,1.5551960810282068,0.6640419778050274,2.304609178950767,1.8916708839532492,0.987015024360947,0.9159473308062829,0.7094180414225327,0.6472636160023713,0.5514743484556663,0.4977939711176365,0.4123144851860822,0.447666472113381,0.6146761858846788,0.764702144664123,1.2672505919082375,1.8743497307918338,1.3057249573099627,0.9119135333785456,0.6190907831712203,0.6779249026304056,0.536476482700723,0.5965151241705318,0.4399530780609161,0.5601305177866981,0.4827686918948457,0.5290601669887606,0.5686373580932089,0.6218239926071337,0.5189285578026215,0.6506297211465167,0.8106647971377826,0.8393606982518613,0.5786771314122685,0.47821304958886923,0.4785680473503065,0.45657224283069187,0.4602030894500963,0.5473051967549718,0.5704980635120676,0.8029095810257403,0.5699234986291066,0.5921807915818622,0.46181484369396864,0.5207870383156398,0.5060379352309876,0.4552441232178234,0.4609992846284794,0.6126859301022154,0.7323964114239776,0.8858325293957469,1.687933770129266,1.0423094586321917,1.5329536235979058,1.3199301410651085,0.8276719276054724,0.66336854135467,0.5839164197248067,0.5403385124712912,0.7291609551768842,0.5598543090099438,0.6530301958745061,0.6300327606870273,0.9564703444001572,1.0654512582995872,0.8125225449661907,0.9958425672609813,1.2752651827749584,1.2235674098293867,1.2286797281381616,1.3147550974946562,1.6642776217373416,1.3754066689534838,1.3966861119872833,1.7697000764903288,1.7861049924997892,1.5608563807882365,1.658076246973354,1.5750320310946562,1.8988368300838938,1.570866743010742,1.487336147337542,1.7883328419122908,1.8034099433453463,2.5780116906010484,2.222416845666798,2.705602254620886,1.7915408303454325,1.719471485443646,1.5391962655190852,1.4818418770088855,1.5292526984376633,1.2724743656095956,1.2857586937770609,1.2609690524777926,1.3448789239832604,1.0216454575831067,1.0773750193433775,1.0010245720810744,1.0986706910516548,0.988299046845452,0.8391389022148903,0.8668103683345983,1.0185637691001816,1.2686053125399748,1.3527154899669869,1.7920022299681166,1.4922813933154482,1.2623856474967037,1.6694929991983523,1.8114969001860421,1.4536554467973166,1.5814683604171662,1.9678374475641187,1.9821514098665363,1.7784726331868757,2.0810803131261957,2.311156611662788,2.1819890701613813,2.186182779132996,2.3712782888719146,2.0939039922862777,2.0540120868711633,1.8084357218293137,1.8248817277059302,1.9128406392847976,1.625403698813478,1.5442612366590898,1.6099643095044576,1.549559433819499,1.2848451194324573,1.3926990287955856,1.484625229834186,1.2588542968059333,1.2008682901491494,1.3011553033194434,1.2956940649062225,1.225306426119413,1.0877662642556325,1.1274948329840258,1.2285990733110055,1.4754569357433178,1.111574497543899,1.1034140165978685,0.9209635167191856,1.0764825061430405,0.9460699620278595,0.9975546594908047,1.1772274976070252,0.6815467707546478,0.5473408294760016,0.571759445226218,0.8090241526758808,0.5662175914987309,0.812585590729395,1.162495706985879,1.1636960015848454,0.7463161702762688,0.9497846082540515,1.0587233079443004,0.6902009286315077,0.8384925301913061,0.9659831080449451,0.7146921368873529,1.219250779911218,1.703389235191244,3.0795321027065516],[1.6631970070278679,0.6211185593474325,0.501951677957558,0.40659029302276317,0.5073721500780585,0.4537883657741592,0.30830729478925284,0.3933533556148048,0.31660118368058876,0.32190656045867433,0.39758938391880516,0.4821189351445399,0.40638207436701534,0.4781275431408701,0.7114085123368931,0.6033393732029995,0.6913299332838347,0.9111334490639391,1.0639658757088333,0.9567272267909018,1.1834124029483626,1.1722215558956357,1.2914285075928114,1.546303592356717,1.045740364385949,1.087878660015595,0.901528141760932,0.7750305749892398,0.7131296295342789,0.5967159642166772,0.8451147644886053,0.6634959061461423,0.823989071367658,0.8479649219629746,0.7247705920347762,0.7659130655773615,0.6451484966772761,0.6957274597266251,0.6617514686169091,0.6284274362435363,0.9775456376525706,0.890621770812325,0.8733780980932901,0.8813340033903655,0.8905300841544197,1.1992072077702165,1.0684827385474587,1.2213818124343823,2.134069995283702,1.8298117728151833,1.7935371552868888,2.16384100447909,1.8626479451991418,1.5734190824458372,1.4852823644501705,1.0863931732582086,1.1601008323963742,1.0599801264118593,1.2456416803321386,0.9695783307868302,1.087648819458765,1.240017365213925,1.3072239218156638,1.6097660125461606,1.283096012688631,1.0121797297488315,1.395007212796078,1.1534173493193511,1.3779715283538985,1.2611171237418584,1.5325199938800345,2.0081572881261516,1.5797245580220192,1.6207591103461445,1.2639339985750873,1.7670359757060243,1.183173382863681,1.0874168840236316,0.9529270898277291,0.9778313246191194,0.7999649556363142,0.7627278759830871,1.1535266776817492,0.7212537094190637,0.5979571915501516,0.6279589728449708,0.7010561799959553,0.7452828879478528,0.8659104270052568,0.9051359197941009,1.0286041933636416,1.171128121923291,1.0893923551152784,0.9421825951206919,0.8248311679299971,0.9513271212761578,0.8295456003656623,0.7085731957196697,0.6506062235506261,0.9925889876294933,0.673407448654313,0.8212096855483801,0.6076072391151037,0.6722468588929988,0.666853843257947,0.5629946429113124,0.8606441387630743,0.447627644157886,0.46795043011770976,0.7924782506887101,0.46697806478729503,0.37924754744478834,0.31971085288427975,0.4263240335247351,0.5315326291674592,0.5725788645957623,0.7614736472334591,0.7486950056940966,0.917281939132893,0.9493326319952299,0.8820183638881641,0.7827621625073976,0.6789957703604406,0.45903788941928264,0.40914946792363927,0.49817662118460526,0.3995639595609934,0.3986708680253682,0.3868451612821968,0.5023756777760976,0.4272458840025011,0.4468015248654466,0.417903376005484,0.5821934181958447,0.46002125278247025,0.4362650782224039,0.8877838379375206,0.863532657610757,1.5039763826037793,0.676236227875597,2.3016664371860984,2.02732271420268,0.9921065506310299,0.9152008574756381,0.6881616774393542,0.599931960198098,0.530554618563072,0.46169913986304967,0.3693787505885366,0.4220183602452352,0.5765435236997026,0.725883385314157,1.2285553627908599,1.8578181709830535,1.2792319291548977,0.8614779780943999,0.5730691222549391,0.6303539791380058,0.4861769066854568,0.5442882875904674,0.40571769336157787,0.5073912802791072,0.4488635986525703,0.47060582022068914,0.5381620287305449,0.6088525478571307,0.4880022483210215,0.652391588142846,0.8264409632440507,0.8209176189090934,0.5610282434871668,0.46618236574360244,0.4343006911935805,0.3991120014481993,0.391081100030788,0.49026678687982317,0.49868275529639366,0.7234293539470771,0.4914014038621016,0.5356800381293456,0.398455384557757,0.46416161206641227,0.458458933367917,0.4018408396684754,0.41288015063999367,0.5787397344391658,0.692555864085508,0.8299825468941957,1.6844235259261295,1.0540982352004944,1.4779329255094087,1.2840160686976607,0.8030899800688232,0.6359990924905955,0.5569620361419434,0.5141157379342514,0.6923714243610155,0.5351023583870588,0.6273462499124085,0.6011733933524751,0.9099407954884217,1.0116711010607249,0.7658636800461085,0.9556832616407714,1.222309074919038,1.1662849089074907,1.1813878056970508,1.2789643436071136,1.6061592315483024,1.3402488464812083,1.3729268952741522,1.7331875246374469,1.7461527933237124,1.5185491631772734,1.648131211509276,1.5703645781355153,1.8681229109584445,1.5680751790978282,1.466227534343716,1.751579292870076,1.7759313126578022,2.4898982593376893,2.193748068704164,2.6499992688769045,1.7418733871889347,1.662020070818278,1.481397466294484,1.4123071109751968,1.4889646534983731,1.2339547570673215,1.2329650277653508,1.230150794745083,1.3345553257749878,0.9929859002563177,1.0121107878030746,1.0199635251994188,1.0821916305618302,0.9721421639024951,0.8119398151305035,0.8193273674498689,0.9675062127030729,1.206357428786875,1.2839299664124153,1.712168138562271,1.400757035808723,1.194053752859768,1.5813044053869991,1.7013248008302275,1.3633451674821278,1.4999954777548854,1.867191864380424,1.882936640218331,1.6992644725325148,1.9967568939266496,2.21975743035023,2.1057123414592893,2.118257582703535,2.2919803241388848,2.033976851553406,1.9804244766399084,1.7330799890262536,1.7508186512085526,1.8543589356691481,1.5754442455454363,1.4919920503559807,1.5638001884853543,1.5126015636289798,1.2497487309247457,1.3601577470000765,1.4765955908704294,1.2521253424360281,1.187977160268749,1.2893161555082169,1.319270717378807,1.241862034940598,1.1129776008060517,1.1614012669762415,1.2589510757109108,1.5082809816744223,1.141816539507637,1.1078869964554217,0.9243389165921675,1.1062321840588298,0.995909038121523,1.058686045491275,1.2426874793196014,0.6972462146210017,0.5714516458910036,0.5585607043159055,0.8113645175230288,0.5550959644704143,0.7412422248891526,1.0843864328554085,1.1084324106427437,0.6910077328239146,0.9195324666048564,1.0238436101865271,0.6728029825224185,0.8010203536405567,0.9643999455840498,0.6727633289162741,1.3352304004167157,1.909731869978329,3.057175118133307],[1.7479569155847448,0.7914167337260631,0.6249118670117703,0.5163946843034063,0.5928125752577876,0.4548897420518099,0.3853969681669309,0.436170390386611,0.4079903945555458,0.447145263788051,0.4854822608420085,0.5240477557739205,0.48407911803280235,0.5633957002069938,0.7608498922617032,0.659829432346697,0.7493681897957482,0.9563281605574935,1.096237182879692,0.9908034193999022,1.2067205894084232,1.2062006918744963,1.2985026293011797,1.5575921881445265,1.068639186725635,1.1227170627664271,0.9429008592032021,0.8430139011317229,0.766448306384739,0.6443608003906478,0.8798345217959544,0.7008643562197434,0.8455009818903568,0.8778925205897605,0.7468476537597686,0.8070557633022972,0.6867069868521845,0.7440491484346621,0.7089371466699879,0.6718714985439617,1.0103736384154138,0.9235206250393715,0.9012268448427724,0.9017769956134574,0.8965805572416773,1.2586878473116496,1.0784951014287127,1.255669374452818,2.2093524449541797,1.944176047970476,1.8468484137189436,2.210173421655335,1.8894835505927423,1.5090487460516686,1.4770120743797988,1.1090985122085917,1.1663907270118632,1.035774633489871,1.2774135995621994,0.9835949990390046,1.0851694784626944,1.2405997839958833,1.3241872597804247,1.5989201024017488,1.2855898380034856,1.024775804390337,1.398467621811806,1.168856074884422,1.3902671394281205,1.288012630409257,1.5617376788006123,1.9965935083144788,1.5868877406843869,1.626661061968595,1.2758242394722203,1.7516171432886587,1.1843925637213024,1.0877443965526181,0.9662981225492823,0.9785669224335177,0.8213618466714014,0.7921929523205614,1.1499469444897412,0.743947942931182,0.6470688454100758,0.6647404208383585,0.7372521772815761,0.7593655977149275,0.8865790595418129,0.9383497678342502,1.0484304660304713,1.1809691890387932,1.1023834653768994,0.9664020048792141,0.8609058432324601,0.9869079324646778,0.8929884382749101,0.7450301653807646,0.6676983762309444,0.9486642748533589,0.6640689060267098,0.7757870335635254,0.6057167843947214,0.6480914116509885,0.6703785813043155,0.5906831081105585,0.8450890011947739,0.4907706357434288,0.501288899910538,0.7875996237000287,0.47772143527466093,0.43692002264638913,0.40658293238176507,0.5184931680730409,0.6256365930801342,0.6626539169291318,0.8492417255062585,0.781794725568803,0.974279018709062,1.0023806011172076,0.9485669341206614,0.8571789670095854,0.7674211918849528,0.5629012397896465,0.5283949156574498,0.6181761799642252,0.4198342463613403,0.4627032737152844,0.4313238570497532,0.5143550396395844,0.4472269008804958,0.48231704975204126,0.43453338932258884,0.5802376837009672,0.45104430810460266,0.43454888715765533,0.8170600436161105,0.8848163349820797,1.4353307124929042,0.7910976778260512,2.3743122081606853,2.21766510387961,1.0762411645555798,1.0016695170269125,0.774001120583488,0.6820751976701954,0.6257710609779019,0.5407958803091576,0.44109058278850777,0.45852729957432503,0.5777516975299659,0.6926155429481965,1.1914071608788908,1.8235680153209224,1.2382694799959566,0.8201658801699147,0.5596202828342999,0.6040031006169525,0.5026708323766894,0.5341645458456261,0.4613729191636482,0.5474647242537095,0.5273030194146288,0.5495107911517029,0.6200006436593645,0.6790193481838905,0.5326834051180238,0.6941908210886186,0.8722663629693744,0.8426176712199874,0.5726003468883916,0.5191731566824069,0.482900409764409,0.45892827594825447,0.4554842356021333,0.51575217672061,0.5235825715107358,0.6992179234082897,0.5301379954563336,0.5387825592986994,0.45274138963225335,0.4845279725829382,0.48670070764093365,0.45607810146201927,0.46318838273546875,0.641092452686307,0.7420861144240724,0.9043100443810553,1.725776478745168,1.1448226976274303,1.4220354464056018,1.2404843236522238,0.7860271977958451,0.6427020718418749,0.5789345063829089,0.545961701639592,0.6895698960005606,0.5526334569266771,0.6217218284613616,0.5948759859221928,0.8644887680281684,0.9524466785653737,0.7144199516461534,0.9050500282759565,1.150743754864307,1.0727733400848984,1.1257913011389666,1.2177204462747881,1.515573562580888,1.2498899846458027,1.3065902185471607,1.6617021445317068,1.6429489839108657,1.4114402623889835,1.5921352546023315,1.51519329133674,1.8129181035602644,1.5539142549197533,1.4311669578663928,1.715352815778365,1.7666863493842881,2.41690588440252,2.2203344405233203,2.613593371120333,1.6956365877060604,1.608579421319397,1.416761867720302,1.3583242547990217,1.4600235259643164,1.1937892927542488,1.1936372534562876,1.2138466375937347,1.3372330595865904,0.9978508490582411,0.9972933237035244,1.0903155466924375,1.097175897393759,1.000886408117124,0.8232268062420484,0.7860657592983015,0.900694704730245,1.1368033190914102,1.2038360302081421,1.6454010376906032,1.296350875455983,1.099933522853522,1.4842363670287837,1.5674426285714225,1.2526222675035736,1.3905507549988778,1.7503291940113668,1.7551327363844234,1.5799794495374786,1.8932678285751026,2.110733614866354,1.9850223094382506,2.0209988332924254,2.2060995155626877,1.9626279750186884,1.9062802742846938,1.6536260074427946,1.6837120047314624,1.8016304160709464,1.510818129526437,1.4418671241521506,1.5221074493548659,1.4724958488839663,1.2086855348236476,1.340341441310492,1.464699108428589,1.2403663480289913,1.1835265568305013,1.2844002279264566,1.3350547601700267,1.2542738003280596,1.1449898711530082,1.2168470315953128,1.2978839529000548,1.5594720151521981,1.168032126486366,1.0933911278078952,0.9127146338249275,1.1647456407398498,1.0871277079045167,1.1703677782774908,1.3508231794504297,0.7968469970584876,0.6697076680262959,0.5532922407625815,0.7601745548515129,0.5437067411375401,0.652104037622973,0.9718960936170538,0.9828089033545627,0.6032323167095156,0.8233326814837452,0.9352132645561643,0.6659539618269819,0.7048097820076678,0.9389952741895551,0.7325895567195329,1.5945434436609156,2.3222679874664225,3.1178277427572527],[1.6757783515284914,0.9442709876174036,0.7429487607601929,0.5467321675670656,0.6274625806397454,0.43513658685887474,0.3237733415354526,0.34361005093222435,0.29640383389213165,0.3399545628661109,0.38817225765408264,0.46478146635664114,0.3894441086414795,0.44456791860581,0.5967558637249937,0.5222732149303433,0.5905773271823578,0.7438512141924161,0.8838141639806589,0.7986575129012153,0.9785624267861134,0.9785761572686243,1.094762357929938,1.3658868022015167,0.9307264196628918,0.9539972634158423,0.7824243284548017,0.645641454635629,0.5897068209420927,0.5114077678038731,0.7095981294294587,0.5755398556825528,0.7511754252997443,0.7377732365889111,0.6161640902624067,0.6417006336763447,0.5514676099640415,0.611857358748119,0.6006860219366026,0.5695760185762693,0.9470645802485593,0.8112876058898817,0.7777283711851158,0.7514639504929688,0.9316278158447041,1.194901284521875,1.1474818650509804,1.0628305018665973,1.9790137800688556,1.6941018269270827,1.6058372383613706,2.051394921787659,1.7592719926344145,1.344371471189242,1.3199735636350225,0.9994290140917573,1.1361166932676443,0.8455475790466065,1.1859078647482268,0.8985745864581381,1.0057993152859641,1.0779710229549404,1.2190629768117696,1.372822378238151,1.0979778357894714,0.8669204615780236,1.1592695818993122,0.9374268849325889,1.1355277546911102,1.0325827288722236,1.2910191039174448,1.6949846176167258,1.3016286180752041,1.3847845425451508,1.004987759314862,1.5019393878896452,0.931596932091789,0.8791927322372929,0.7669935333868573,0.7757373053181789,0.6707420256174258,0.6647675016775597,1.0568523288985783,0.586725842477211,0.561843427676218,0.5314368107780206,0.6142578656772197,0.661373691758798,0.7153574678944873,0.7654201839548878,0.8317015300545278,0.9587336683157267,0.910041492779277,0.8114453136776879,0.7062646350611171,0.8494603868510454,0.7356245217024316,0.6475855762870751,0.5974912170255573,0.9123275110158434,0.599853440470874,0.7036184673540565,0.5063974287405533,0.5443152412873784,0.5373738656018887,0.4528449745708259,0.686020201125287,0.4357546061963453,0.46475117897943435,0.6808701284332302,0.3837212394781596,0.34112046414892266,0.3133910359817006,0.4371575837194428,0.4925617297053054,0.5247358653712645,0.6554179013886604,0.7212722901155545,0.7867396306020514,0.7903789718455727,0.7491246243395643,0.6469283820154041,0.6178137685048349,0.43910849759037796,0.4416618043597445,0.5740589343341774,0.3730740053891746,0.4342840422323762,0.3655635356711526,0.42218165546914,0.4013114068670997,0.4143419131650621,0.3859337628618813,0.5072889002804888,0.4247434082134385,0.4215506690796039,0.7643201749087551,0.8525953400766729,1.442819092370879,0.679948219739083,2.15888195860399,2.1295748606160827,0.9500104084636213,0.8351399889164441,0.6092238079435935,0.5226696580948614,0.478278923745801,0.43105370138759697,0.32338548552704355,0.3654601920716656,0.4767237033487556,0.6225981780414459,1.0768785907447629,1.7513425699221874,1.2311434405709973,0.73684314657657,0.4910076918238519,0.516354980112019,0.4042413538972437,0.4439703995436007,0.37408040589611297,0.4436437715892226,0.44918279477540496,0.4548386721648344,0.5449133744385556,0.6499966017903275,0.5159989358828291,0.7287809740437178,0.8961644648961409,0.8443058029792586,0.5584517092017388,0.48169198153352794,0.44115657890016513,0.38320969741957794,0.3516889620191735,0.4315139791711199,0.4474375710766675,0.641063357773084,0.4277048300752824,0.4230373363157519,0.3740019552065929,0.3822707815949463,0.39826492504705724,0.40822839692637375,0.4408652350236996,0.6373491112213931,0.7320704488176989,0.9056511497529527,1.7708485787335926,1.158327224878389,1.432783698385655,1.283686588634949,0.7875049396239001,0.6189253400823761,0.5645048616475556,0.5536513208725559,0.6291493964053413,0.48463401936423056,0.5323736065481326,0.5102214658794506,0.6489283093154253,0.714665567743451,0.5575121518978765,0.7197238279203526,0.8823173939619691,0.8424686077517443,0.9545024741676419,0.9687084850352911,1.1994525113793606,1.0263970783576144,1.0804134215907948,1.3561894769269205,1.3672827842083464,1.198112581874145,1.3591884252217254,1.3185547251799676,1.4965043424628186,1.3224667090635727,1.18097864256532,1.3836088691581954,1.4420936940410114,2.0273225779163657,1.8870378858147947,2.291331268175409,1.3322084330400958,1.248353237511626,1.1134198978786054,1.052898840362562,1.1211361865306009,0.9191347615475239,0.9459646400388002,1.0035207991134103,1.1975501873725893,0.8346289295233915,0.804705203873383,1.0067594057731588,0.9941972257793352,0.9725938109951705,0.7003180166124553,0.6008924458638901,0.693336814277685,0.8862325954143947,0.939361952217464,1.3157396596231603,1.0227680986553938,0.8449735642170696,1.143126417115565,1.269101365191937,0.98727608478564,1.0876125933191207,1.3952261849879102,1.434016812413769,1.256806144073696,1.5051185839336048,1.7026296228801647,1.636278462062739,1.6272487682475907,1.7617884784571678,1.5575042106251948,1.4866897647870014,1.2784412643663448,1.289347920523151,1.4022717608440978,1.1749415199000766,1.1074978303482428,1.1818685265661686,1.1714529339735418,0.9609106032625268,1.065884333780565,1.2692068176705322,1.0890291917177182,1.0400007480031281,1.1059125468775177,1.2265484008499203,1.1429782183227755,1.0927414843340355,1.2194372902787538,1.3598926853578395,1.4472183507669003,1.1501847365534728,0.9824997903230596,0.8258782613898844,1.2044595189597938,1.1606810277233726,1.2872960021305846,1.4926404333783982,0.8365332202063668,0.71271926213563,0.4850852000654294,0.6661732233825568,0.49231500025995806,0.5022852181812346,0.7639110268056607,0.9089151461131549,0.4898561737043857,0.6823403739518634,0.7432645344099467,0.5555129312548253,0.6374606587061215,0.8280655085995892,0.8070001611247997,1.5681706617880733,2.3381171752590575,3.0310345721707357],[2.0523220305110583,1.8848318864652285,1.9919893545942213,2.136835127647339,2.0254097616349807,2.1890352529427477,2.037211008745855,1.925477547729462,1.795245443384152,1.750251985567328,1.6042936499087908,1.5365004640602273,1.6478891791254637,1.6087653103203219,1.4555424348287562,1.4615969083724911,1.543873306318274,1.377811392801512,1.41173802394259,1.4271247582893185,1.370461813908193,1.3567164953503985,1.4346966517424533,1.5362338084820963,1.6291255066480228,1.5647254026407798,1.5784105573041252,1.5189459177863676,1.5077203784853148,1.5602328129392793,1.2995875212401966,1.433642027887821,1.3978104381569791,1.2743072720399358,1.376601939365708,1.4005319922356632,1.5657333813299377,1.6019330211260487,1.7074732159606485,1.7351999550705623,1.7875126812514668,1.6579206373404978,1.5684928849136712,1.7056588168768068,2.1382560909021073,2.1116716712938577,2.2941172170214807,1.6392004192045908,1.748268320525065,1.7702997677787526,1.5618575362297098,2.076350305888308,1.979269872516085,1.7462995331903426,1.7274420213940054,1.7297068378742446,1.9323881925674775,1.4591171781666419,1.824629748653801,1.6630227864208766,1.6955697036495094,1.4725458706220702,1.7261771746765355,1.4373646331950123,1.3704040534379363,1.4371991997477098,1.3649238249363724,1.3162718067270973,1.3442426699614587,1.25055512217581,1.427944683392853,1.6600998838615144,1.3090023957601797,1.432521534311448,1.1324384358784307,1.424600827866925,1.168707137747268,1.1814628689885747,1.2357677181668207,1.2669577395529392,1.4342856782320503,1.6222949300670975,1.676939219197106,1.7037304998436742,1.8151631865483215,1.660968876810178,1.5645365109665383,1.5810096811801146,1.3473109988246927,1.2919340966119566,1.198869565265088,1.132093812917499,1.164827760669242,1.1840045603364253,1.253117452642485,1.2151943028362553,1.265317321007296,1.338352216751006,1.497878366937453,1.7121426930263832,1.6376089724950393,1.9424250765776963,1.7705962179807724,2.0289748949454767,2.036858379788159,2.0713599914348046,2.259664123091105,2.06910200665242,2.115789605193707,2.2932475324741377,2.161996018109422,2.0200884620140975,1.9548801001749732,1.8813242734039333,1.7165092956275196,1.7737377479149024,1.585117082039159,2.048039836277746,1.6192587943870895,1.4224924604967748,1.4839822278198396,1.5258271409445656,1.8171541323734968,1.8628508828902837,1.8706620695405534,1.894779742157897,2.196549786720136,2.0955192090356727,2.2418775489290357,2.206079117539259,2.2470978251401004,2.20598592328477,2.247608015417262,2.1998340015854128,2.296815994864601,2.2181963500794817,2.8197228692279204,2.2278035971715644,2.943068703716512,1.7993741285663432,1.2794935250143715,1.625442202571603,1.6702977188684645,1.4979127078229195,1.597723065139085,1.679204561145026,1.7260433190320965,1.796093901444702,1.8794900339104184,1.9055198590575195,2.0035432207925057,1.9321546192885974,2.0520083152882704,2.411502732061727,2.033613012981995,1.8379432488844807,1.758453488758414,1.9351626626363996,1.7688629579781452,2.03959420615042,1.9712914852186776,1.7977135935086155,1.9746650179208407,1.8872496999664876,2.005283252259869,2.1266407104185987,2.2656424646426574,2.3503882606853943,2.65824561979269,2.538737319271315,2.4406793400752966,2.1691559995320904,2.1076897548042752,1.9985767326260169,1.8940444418925155,1.9091217412476433,1.779325080015696,1.8607580494960108,1.8256898903970815,1.8540302914917683,1.9984855730077915,2.095216801757858,2.1316361616915636,2.1135396466493983,2.095112034915891,2.0637068829488845,1.9788892572066212,2.098600703084047,2.5761677822500033,1.9878208161502438,2.9403398543945816,2.279503269774613,2.326559862742282,2.2844097919106097,2.2181276539455608,2.240211011718629,2.4172213184891675,2.363685057321491,2.470869074305187,2.3702635697693415,2.6792932438065455,2.682293614590611,2.5239899513756265,2.7713922205197714,2.896059250610187,2.828626950924902,2.97317900708921,3.0010733372265093,3.116751459268312,3.0093815774122796,3.048204637474369,3.2588552925660443,3.244798508780052,3.085720402679082,3.1960071650102244,3.2902739570814017,3.3141669941524428,3.32249018084275,3.1416935620561035,3.315628560105221,3.3548851096049344,3.637730203012406,3.5731740680589428,3.829165501651698,3.2633709695277657,3.1373118767338175,2.941168079787227,2.9574989033512686,3.1093788833908853,2.9327940981349463,2.8461376904892015,2.9433854047782155,2.9952217121431324,2.7630835556510833,2.7309808088050103,2.8757303252025412,2.875511009461518,2.6586568824783474,2.649567333375591,2.540968586055429,2.630471454366135,2.7860110193047443,2.7643251155568893,3.0035137216708376,2.710627461313352,2.6705637786091945,2.9289418161717586,2.874904587693905,2.751176555404251,2.9172566092122456,3.0470897466574454,3.0189654165390603,3.0319634133370825,3.2236572709328515,3.2722825063408663,3.257904249842606,3.3876612802956396,3.4732417033330285,3.3754306680004564,3.3069517051574158,3.141651259323455,3.1858781159462954,3.2959540476569975,3.1478249201245725,3.0879505140037797,3.18314491346026,3.1683654642418166,3.0115567454469776,3.096011065880883,3.19370247332,3.052923520473634,3.0242071387833134,3.064208087896303,2.975158365679115,3.0129104797541437,2.8888812769630046,2.8204841434360226,2.695309461595967,3.1748938812707665,2.7710778401973055,2.9444046363575467,2.754667145862165,2.402904165016756,2.270609424234598,2.2348950970844434,2.0321933737551205,2.3610515358035027,2.063839754352047,2.3777809580262064,2.7810702862651135,2.37543569729554,2.3845963472511196,2.597196290616753,2.376623393918326,2.3917620049803108,2.5468939578209366,2.538686676392408,2.1408147082371984,2.480173937668819,2.4019863417223326,1.4055853577119504,1.407951948430093,2.069813556161824,2.810757174227257],[1.4032251602938182,1.1732611608652999,1.3099109696767142,1.6392699583921255,1.6895557856578083,1.8335327808558226,1.9112152422314026,1.8448104986199578,1.8673391075882377,2.0253650950015327,2.003774108568094,1.8548544013376544,2.0301061327354915,2.0993801396448446,2.0473944900436947,2.004742173540053,2.0531437202465104,1.9820408359989616,2.060929787179468,2.0538652860628273,2.0207072722779063,1.95189321783001,2.115427362231827,2.1141506503552305,2.210818132192735,2.15716670829851,2.1002665777176968,2.0156307425238706,2.0269720606765467,2.0347870456500914,1.9688297528551462,1.9403670294604873,1.979248592217667,1.913803589052704,1.9596858066835785,1.9881649542734794,2.0171122232177576,2.080283936086643,2.1249662909958347,2.1340738029552355,2.195755370257212,2.1719964581657027,2.1100545835609887,2.2080533541881486,2.6534236066804566,2.5497131712572467,2.8127503548409227,2.1340157782838762,1.9453088510972958,2.041902531084201,1.8907475161067484,2.4159312945833507,2.3408287048059164,2.2072500647022246,2.1545082460730534,2.2685662073273605,2.498761299085327,2.0222343530980007,2.3635123748938773,2.3211866195131297,2.3713003709674765,2.132962693656881,2.449417156392993,2.0043903316307086,1.9658870798491275,2.1417045187023174,1.9878597649511986,1.9957127484163597,2.037851759904835,1.9489189547744064,2.067140403385884,2.1556928865831164,1.9391223415810581,2.040026568111259,1.8104122620960859,1.8987012659815534,1.8361014358269105,1.8776859416508753,1.895653872177288,1.8596997654054594,1.9768534005726561,2.086385078931775,2.0011641041038613,2.012323873815548,2.1192426996313767,2.057697162988061,2.078057514414151,2.074832813351122,1.939253124798702,1.9179319773144323,1.8809247607115074,1.8653863169300635,1.9126649481205424,1.8857410527111227,1.9159543301580504,1.9006008876911686,1.91552859096565,1.8955182755576057,1.9068825394842412,1.9804321151769462,1.9655767752695468,2.0342199157091105,1.9843594414196553,2.0421658651401575,2.0326431934076767,1.9736740417580239,1.990595887009758,1.7527176164713343,1.736438472817818,2.0254677051011423,1.8815659507025972,1.9275770670463712,1.9377905482841207,1.9493085660029383,1.987261008237495,2.075422959271075,2.009259279254236,2.463056700439112,2.2276740324893356,2.006739034980281,2.0621603294477753,2.039537564481089,2.2078149195581465,2.127026639539335,1.9727126697896147,1.9165719220265085,1.966591777216665,1.9371000842049562,1.9854642475932212,1.9920767395280885,1.9037491223701617,1.8716732490739374,1.994633888391617,2.0177651156110277,2.1158221707170664,2.0923536462141663,2.548413710140376,2.092607352343972,2.8240727840268263,1.9570365161747643,1.4780703791179668,1.8883473735960428,2.0317465668197494,1.8425873647368691,1.969146552833763,2.0554514633263006,2.033086045844416,2.051190273510403,2.0086825045961065,2.0070280408063432,1.9583985796265313,1.9295640017422213,1.9849147069430295,2.3993981571321514,2.1591589229622343,1.9589253712385857,1.9504247758966544,1.9962803118093615,1.9926875762352498,2.0672591944319407,2.0638592727674494,2.058640814357617,2.173819992682433,2.1423191551411858,2.148310284712669,2.207059349772704,2.2527686929586244,2.3343998853050483,2.534061273425289,2.4590111713836165,2.3230098518786613,2.1679424928397646,2.1624128534208804,2.0906087507445372,2.0632182022407766,2.0636192941698477,2.035250438073865,2.060601690676403,2.0653379603090936,1.993115874938377,2.119808407653687,2.0788043825185376,2.0784485954430694,2.0617381626588434,2.1019425301174732,2.2343570014042204,2.264552994438442,2.3746217897281907,2.834491546907265,2.2071760038830304,2.8871194619730467,2.361427234822041,2.2424701235803854,2.1228880873663387,1.9593064996589815,1.8644356324670024,1.9912147516772116,1.8643388994863574,1.8835287734782618,1.8253429805537027,1.9707390061861416,2.0142205993690476,1.9267673203410525,2.0348733036108992,2.0670802551036935,2.0701792193263713,2.2045500464245356,2.0925894283769995,2.187049640577911,2.1337383573945945,2.0662066955928244,2.1899191536798783,2.255793107243271,2.077127226518148,2.083125702246011,2.246815501079288,2.1326960750828547,2.2123957095190505,2.0672444342404677,2.162469769830164,2.230823143413502,2.5111285212503627,2.450748545627022,2.784164368810859,2.2374237582731653,2.1723837276459705,2.1114190592360482,2.1147444482874453,2.172033305917613,2.073332577320865,2.0786703470950814,2.105610635948036,2.177390655815667,2.02428754234624,2.064474787013241,2.1583363641838558,2.140348450397204,2.1184334305749615,1.9797332544413333,1.9370195289166996,1.9693883734073319,2.0326442448126687,2.0861186461002594,2.245438065130969,2.1148266812268757,2.0139972943674813,2.1413421291399843,2.1901980741966356,2.11180576326376,2.1389389452840692,2.223140348533578,2.243782636560955,2.184699238800789,2.264860729492986,2.3180680871033865,2.3202554228292933,2.324214324433232,2.3614910137826852,2.2878989716422167,2.2619717971197706,2.2055812559897294,2.195900756204202,2.21913318221113,2.1529342608649245,2.1294074012721835,2.1375144789951905,2.12222101589851,2.097232403233871,2.1226736323745645,2.1865091225496127,2.117778052402555,2.1868955431679633,2.122902078903493,2.0718719553110274,2.1257314160603604,2.044087596660865,1.9492973731108354,1.8973984731167186,2.2262206326960468,1.9124534145958034,2.0406831699047605,1.93650709935226,1.7208104404831297,1.6224832930798085,1.6207603209133554,1.5552784230130432,1.6623071543669583,1.5598786101957023,1.8503979449546208,2.3926823351951603,1.903201602668405,1.8731160373807305,2.0082875378712615,1.9825511080509213,1.9344091135998536,1.9144719848278569,1.9817073557454712,1.8240491683396909,1.8899078488346215,1.8058046173348143,1.034458200853992,1.3191629272319,2.114672980832582,2.752349832646563],[1.0625398403664763,0.8571399127082356,0.7665852040316589,0.6016314631000103,0.6278883826300588,0.5629994574286803,0.4039035835504542,0.4529261782260498,0.4811699270934509,0.5078294669745722,0.6284265348453757,0.6947640674731127,0.581669810829487,0.6459035711177545,0.7724109142574728,0.7277047585622648,0.7356611750637057,0.919354179640241,1.0035920829408604,0.9233265222810008,1.0772892712004343,1.0965584313846881,1.1875395403716265,1.3514951059411136,0.9674277327911289,0.9891007876550919,0.8430399815843809,0.7691064938899577,0.7458330244963193,0.6594696746637865,0.9486776870941995,0.7485905114014865,0.9051097318390062,0.9422477714997164,0.7918235242227866,0.8218834957041316,0.6500562511740818,0.7001280363884335,0.6595849198153797,0.6354574440472769,0.9591700092910117,0.8359465179248851,0.8225330624420079,0.7855746697940491,1.0744613639468863,1.3338253248691685,1.3327400003292742,1.0956312444349956,1.9087093375483355,1.694029480053891,1.6027435144342803,2.1419962582793883,1.8663870092559318,1.3509609846980033,1.3490895425661027,1.118896417035636,1.348853454701542,0.922619461200191,1.2123726278444593,1.0965427403279604,1.1227019885355105,1.1747049676621688,1.1792373535291703,1.4603418994788524,1.2891360733512638,0.9650721165356161,1.319732697710133,1.1228272447251202,1.2847311788421156,1.26506929782841,1.471685101209881,1.7618135455721287,1.5086944108448817,1.5463757379441192,1.276898346770641,1.7616762599887281,1.1637152960177695,1.1151502879658952,0.9865381596739458,0.9671786890727192,0.7829060000996636,0.719841516773724,1.1318599638488513,0.623454521287928,0.6120440496263246,0.6238574520697453,0.7036934463130083,0.7517712260532509,0.8960945792732375,0.966026571088333,1.0856131138895844,1.2936997536213868,1.210937282213349,1.0708235371353532,0.9680475167715625,1.1377693929598902,1.0194321717172785,0.8457472996812966,0.7295358650978468,0.8460501166298788,0.6314631542130204,0.6525078613086966,0.5444070566575444,0.5214546643372586,0.5410101419141525,0.5202199761294147,0.7748687493128673,0.5845132513492314,0.6089705264345271,0.8037197364682437,0.5295739435870666,0.46368685896822304,0.4139026749235265,0.4881998259737933,0.6032308976385928,0.5666309697449982,0.7545738995979485,0.8023610833678074,0.9342862406003961,0.9621773193484066,0.9293991675196749,0.813655497567154,0.6685984089778932,0.5037554313402335,0.4969749635152716,0.5725308842413344,0.5247341415024481,0.5276138104913513,0.5485042363757773,0.5500784834915483,0.5924585115070818,0.6076235351576972,0.5676196881962586,0.5972681524218177,0.575016660204354,0.5373653320677448,1.0542689626906074,0.8750124422459357,1.4869766478810105,0.6838773516895963,1.9194477923202784,2.2833300429165444,1.0405488932101732,0.8632476893018562,0.7072683671716772,0.6185603921642056,0.5694075871430544,0.5184444761379936,0.42379316785820753,0.4851899047508481,0.5272172115264809,0.6375337895779615,0.9867110900493914,1.5842647270045285,1.1186931957081616,0.6561060439297117,0.5426711768386637,0.5243595134173558,0.4919067804786295,0.4507697705324638,0.4430933533490561,0.5346964666880384,0.5232727643343825,0.5245221296420969,0.6004706268137711,0.7218124448460105,0.6924582896043301,0.9491576392348253,1.1659391675245083,1.023829913244794,0.778877423314535,0.5948795816719279,0.5551977542376064,0.45658291282288976,0.44276361063100467,0.4843959643896971,0.5357159753492762,0.6316602938170628,0.5085560211796061,0.4836765456404386,0.4638087895547367,0.44785729438882504,0.49543878595884067,0.545884122626289,0.562781585105781,0.7012028273218137,0.7747631563160425,0.9325080880441777,1.808756312929662,1.268167822698632,1.4413767518878944,1.2847092327525265,0.9057755922868566,0.7603605457353364,0.71845741447024,0.73289423575207,0.8192954970645309,0.7363325145599976,0.8432355868037633,0.7430072660555073,0.9995745159683592,0.9757628342922314,0.8286047941411779,1.1118018207472946,1.2300437306316663,1.1422792550853975,1.3371897233820944,1.4136198332776353,1.503524213245883,1.4109620447752773,1.5284978518179464,1.7758837549251247,1.7177932317422573,1.600983606193206,1.8705501972519487,1.9241719099447,1.957574852877013,1.963851620793194,1.7078178055514348,1.8918793799573288,1.9852200272761922,2.3947542201202516,2.2094815955625284,2.3748557167901367,1.7015539617138977,1.563952770366498,1.387833221818457,1.362672939130297,1.5625920215578613,1.3130417711968583,1.2327688195318978,1.4070326302446405,1.5341775348124045,1.1738581709470322,1.125947190494235,1.4779111790065946,1.4145528611346403,1.220991673042569,1.062147345664509,0.8684579781351444,0.9679394626352719,1.1241370213274886,1.1084607616748567,1.4069881880094983,1.0817905052678884,1.0044644600722779,1.2748089935788893,1.2525789015597628,1.0573680458486026,1.2382905174317833,1.4187860779057204,1.4149792474951157,1.396411724191519,1.6475014880948422,1.7342659051629452,1.7266947795777674,1.8483391253815142,1.967360702709099,1.8583981051232006,1.744884141135109,1.5027305597316898,1.5772140203192824,1.782316059888345,1.566202475028854,1.4658250701547224,1.650773855195804,1.6635479448729618,1.4326122260720386,1.576807038274354,1.850655459239683,1.6164706740171417,1.561257067596113,1.6610981755669838,1.745640437069464,1.6945261448870879,1.5827150512907722,1.6515912971426128,1.642302541321585,2.0118791280045922,1.5814354809862818,1.5165710297409618,1.2831572247579808,1.319683302295086,1.2185719817736589,1.3189906353058205,1.3755067065279456,1.0561415430598382,0.7261503696828806,0.7437559929918909,1.000087820742987,0.8099576569289991,0.7140658203625246,0.9086111416769749,0.9074839305965271,0.6867768442571972,0.9311056055541962,0.8596323520475765,0.6109304105295449,0.9037258887430523,1.0058917231282654,0.9481360377709339,1.5162866455035107,2.4922048271047332,2.670295077998351],[1.380666616053854,1.0021374308567033,0.9131551103290506,0.6159766105043629,0.7527154241737166,0.6518360649289227,0.565205339618264,0.6198405503289244,0.6477377566389741,0.5885489404414076,0.634982402425339,0.742212466634535,0.6152946062501096,0.6129423351069164,0.7372592351489339,0.6969243679422841,0.679296950570381,0.8173678766564692,0.8406371689310553,0.8052460451441541,0.8913630039046234,0.970373897283694,0.9715944283220485,1.155581953804676,0.8351380794184478,0.846043037660311,0.7588979100112826,0.7124767580832105,0.698200012970578,0.6574828932901978,0.8118581093438155,0.7362170518455735,0.8130242891360787,0.8214917138633654,0.7192075708892525,0.7384899388998085,0.6678919994934126,0.6698741288719413,0.6521545058213641,0.6430274213513791,0.9428576907517858,0.7656775794206706,0.7480960463615833,0.7452184454364061,0.9045705093029991,1.2476653982652315,1.207582753483246,1.0720973051831288,2.02333788606085,1.8643549795275094,1.6866363386643597,2.1582545994264133,1.8787930187749027,1.29541429508281,1.3628081692414313,1.0786987566674964,1.1711380505292817,0.8329652458842737,1.2341622055431183,0.9026428508754002,0.9295441767192237,0.9420709675450328,1.0315532785492738,1.2174751173331049,1.0863487358607682,0.7740814561667079,1.1426410382572798,0.9450330209457883,1.1103560564728552,1.0668772621274087,1.3236816372745577,1.5949863968176958,1.2934601217399362,1.3278414124310485,1.0737477434936133,1.512260175061684,0.9789698100753415,0.9302190669383087,0.8441008408329274,0.870246240456587,0.7569477469528192,0.7406950985764253,1.150014288452936,0.7133514751212148,0.6569281549163448,0.659869982257664,0.667501252243727,0.7154831591628195,0.8012279927506332,0.8049811916454095,0.9016045841964954,1.0163192058423594,0.9870721699943202,0.8941354116494249,0.8344652764566023,0.9576332546312888,0.9131995750418207,0.7902723098175852,0.765568265119434,0.8998240722528839,0.7003419018591873,0.7393837687290755,0.6539286254736041,0.6336469271271808,0.6398507776096838,0.6173814243498678,0.8827915011814661,0.6852035865820721,0.6943563496662751,0.8376693440437937,0.6013467874857406,0.5862550438320626,0.5740120089102869,0.6108413949746454,0.6610800604416783,0.6069823263094477,0.7536423458426792,0.7228852943972862,0.7533235185271154,0.8003679270638213,0.7553942287476633,0.7029749247615399,0.5975491686428049,0.5336787497267028,0.605468041471978,0.6921498916882032,0.5530382333793339,0.6128381671266737,0.5468653995537132,0.5980980779706379,0.589713211056263,0.6226220304607357,0.5751361071917451,0.6615077233209675,0.5786806245797514,0.5870726714758139,0.9033283606910598,0.9542046836396272,1.4743719355175435,0.8147785935161989,2.0283933007573207,2.2857139219074276,1.011598054584901,0.8738104886747503,0.693421113635715,0.6290461600756507,0.6214246301035269,0.6013326790964996,0.5713256286382797,0.6116806794704904,0.6599699103878125,0.7448687913325711,1.0637983913900708,1.567339512496835,1.1033236941180293,0.7258867667891424,0.645111736712307,0.6349252003186013,0.6061219900089709,0.5787114534952931,0.5675306888242588,0.5913615672572019,0.5671540564447909,0.570569739274614,0.6294238322230117,0.7183993084105003,0.6643037278297578,0.8772212018674712,1.0774016868618357,0.9436028058874341,0.7303221499700845,0.6136667311402946,0.5917792009626042,0.5483148763925694,0.56298141502525,0.6269166382418221,0.6612727568315272,0.7564848784322681,0.6245285920957719,0.6407598408294105,0.5702277149883083,0.5513832899719386,0.569353606969698,0.6089763161997003,0.6135600587936432,0.7191253410902853,0.7941849516616162,0.9019833052211803,1.7681770771048078,1.2584363539862446,1.3733208021492038,1.2331422429102306,0.8581311318044035,0.7390919535618874,0.727502551608052,0.7084131725377467,0.7468998170964747,0.6421267921714744,0.6800149909727284,0.664294568768552,0.7805331064921271,0.791944859227284,0.6835150665200969,0.8313147618702721,0.9331741080894457,0.8744586173162265,1.0117559545470638,1.052737755403235,1.169237634565478,1.0637765806176698,1.1448996232133997,1.381938048508159,1.3523330790100307,1.2162218474958348,1.4423193162023749,1.4679065135722853,1.5371653852666796,1.5007885531531011,1.297561751975626,1.4586025179480864,1.5378300377017895,1.9766611759691797,1.8729767909429142,2.1948222044751486,1.3565497691294799,1.251672498964342,1.1212321645778633,1.0769453464059018,1.2064348835182053,0.9984778203618165,0.9947370593462039,1.113236598541109,1.279177279777084,0.9459324971241809,0.9352650243889756,1.2089985771015865,1.1120675792502281,1.0256388983837366,0.8355891576547039,0.7428519752765067,0.7958049329847503,0.911004345779631,0.923454416072407,1.2148219367432558,0.946446030186434,0.841390494775727,1.0323298841825295,1.045355610786863,0.887994341037763,0.9908349815217319,1.168204959755984,1.1882800722938371,1.1129585899662415,1.3364593530077322,1.44108269613209,1.4332848374140381,1.4838411984334368,1.588668176221962,1.4818377706887085,1.3896124041409317,1.1960966877858499,1.2433672800651911,1.3824482644461236,1.2055556840234354,1.1368971038023892,1.257694051515132,1.267793437014652,1.0786417142135962,1.214263487432001,1.4720564225710793,1.2451991341246418,1.2077077251886956,1.291512249609328,1.4017621174486006,1.3357920045669303,1.252270764605459,1.3190089144194024,1.3643810402821548,1.621131714674859,1.2452267635122427,1.1398439595317065,0.9232480342855508,1.1462692854408107,1.1143968925172432,1.2105922234154367,1.3942725089220007,0.9062028617416199,0.7424148640808749,0.6279483313916518,0.7895992601920112,0.6545640126053801,0.6520362159379128,0.7687269973110559,0.8845372232854487,0.618729200831373,0.7630915984135326,0.736907816644337,0.6813905182391596,0.7546249945519925,0.8388752691871055,1.237950750902974,1.8197039624344982,2.852195397518267,2.8710466384561033],[1.498545936767101,0.8985679528399405,0.819202198672709,0.5995514228786092,0.728857591851646,0.5135894565059176,0.5040216600997384,0.5091701455215648,0.5531152945901971,0.5813508020680211,0.6154868002417572,0.653728337542552,0.6035544805697718,0.6489787178179841,0.7256657483127785,0.7045307176169144,0.7542057181696,0.9163934203253236,1.000698700614135,0.9328634773911928,1.0675925048446826,1.1441110880866716,1.1491129070283577,1.3917014331780833,1.0009603947045183,1.0406370373899474,0.9276984686448151,0.8650177433610267,0.7796335736044956,0.6776803287030079,0.8378393268438997,0.7131034850642772,0.780374797705352,0.8097299636425461,0.7213480998488643,0.7843816243338178,0.6713718360745272,0.7501091237602312,0.7337408492049879,0.7008062473718552,1.0439217494614792,0.8868507847677102,0.8737749314719864,0.8527356978760103,0.8632682254705433,1.265444498295508,1.1080025508496423,1.2124176321996218,2.195442582779623,1.9647166750769978,1.8212893472608793,2.198430024613941,1.908877226240033,1.3567198109297092,1.4528688751416972,1.0974023120821759,1.1484884403115196,0.9410046495566482,1.2774322901179194,0.9006494038655098,0.9506958360537898,1.0420971247709294,1.0891565110636947,1.3632049485390576,1.2091506010968645,0.8810137492522628,1.2702971453998106,1.0438967607509257,1.2413392194974437,1.162614126655149,1.421567333093885,1.7150429089535573,1.390171980161458,1.4306593351368935,1.1587867397016645,1.6179172923026603,1.0620365412123778,0.9660206780450897,0.904905508142378,0.9436454815356837,0.8018833146153644,0.7968568250938429,1.2033600054894538,0.7506094732245794,0.6902818049677553,0.6922111704051274,0.7328587553647701,0.738082788579121,0.8572118701104007,0.8479963575416911,0.9442726095344361,1.0580160899973161,0.9809776406543064,0.8690843975821358,0.8117661911325034,0.9239739164569266,0.8677344987871748,0.729284332948719,0.6596699559193562,0.8271243792330502,0.6083150924977485,0.6195576654522267,0.5742554001510445,0.5429037799214232,0.6058371049678706,0.5617130382378314,0.7215300132465671,0.6224263656903171,0.6190931745338429,0.7174448152653652,0.49061991955739376,0.543662023894955,0.5416377659366441,0.666453611221964,0.743165632436596,0.7448568137286468,0.9012473134395237,0.6879657471664649,0.9085120100322126,0.9890366396518238,0.9410366928952666,0.872460919827125,0.7698087193011108,0.6648629443279791,0.6836829157077152,0.7883301905858591,0.5103649073863981,0.6037074905553667,0.5041114896713584,0.5639960681156232,0.5531784540990847,0.5825604340072016,0.5331972554814136,0.6229371448233215,0.5296100852812176,0.5601414957589487,0.6950085690336018,0.979058177439802,1.4233406032110343,0.926932968063976,2.3687611339307586,2.4498379786484827,1.1621181416363746,1.08997550656577,0.8660683766902192,0.7432910909662079,0.7230966091656733,0.6281208574529039,0.5520527057573968,0.5479378550826639,0.5609719906875277,0.6539656614508925,1.0038879379141121,1.6490471666619795,1.1541795272576019,0.65658205259627,0.5460585542417714,0.5350388396449867,0.540130220587622,0.5006467530092086,0.5778649236156209,0.6286740564495902,0.6133328818179438,0.6273364993988363,0.687944476684041,0.7721043523090549,0.6211378925904789,0.8126215218593712,0.9246226691560405,0.8559967278472951,0.6127944098375258,0.6172928387391491,0.5829404519942685,0.575512249189428,0.5676127233976069,0.5788385289080983,0.6099585175167327,0.680680322510949,0.616026565718793,0.6015897660209305,0.55828247497831,0.5166608665912035,0.5529787532673429,0.5776527447349158,0.6114787616115301,0.7568166467779449,0.8321754314250085,0.9527690566865802,1.8127440113109432,1.318853566548768,1.328343269208543,1.3056398939474794,0.8553012719666188,0.7385654132950294,0.7344871493683243,0.6983138082473951,0.6955454052331356,0.5894540191613761,0.5801121344904813,0.5714706108726959,0.6019332077625618,0.6307995915938339,0.52543212104187,0.6633573326973234,0.7834274718915412,0.747131479872663,0.9088913498684572,0.9101356440873918,1.0932335672897602,0.9718374503447375,1.0380354205942603,1.2981996959221793,1.3193498898883127,1.179817129621038,1.3442940882115708,1.318126840578692,1.4358928450562316,1.298202160415869,1.1189192228842968,1.3131402363216023,1.3613978203759731,1.9625548023422366,1.7457440314352894,2.1174571235363118,1.2065010388776518,1.1011907142995923,0.999431700622506,0.9217058902818227,1.0323180621422392,0.8329952148331172,0.8588902438008648,0.9352113164293533,1.1349350250346448,0.7821107553004857,0.7860934037843625,1.0305596832526962,0.9900227654178925,0.9950264106318085,0.6878772567505297,0.6219213631093601,0.6460982545652574,0.7615455065804071,0.7924742773683001,1.112320253518885,0.8473525942591207,0.7147620725342996,0.949706971851724,1.0369679161663063,0.812453376783894,0.9195075623499963,1.1808863434270145,1.2253826180749405,1.1093070972993386,1.331518725243018,1.505627221913098,1.49598257907583,1.5066013288403985,1.611440643242655,1.4273547586045607,1.3263463012771095,1.10422876442045,1.1248347866404944,1.2772564179324486,1.0737643688286695,0.983461164315496,1.090766359945523,1.1017582536382968,0.8996608320170159,1.0066754238691389,1.250196196623711,1.0581912416491113,1.036965671923178,1.0901375814746384,1.249883439128238,1.161840304234995,1.1078942402174594,1.195914285760154,1.318736333563813,1.4228581434861827,1.1239619926547058,0.9573770156547793,0.795797810781919,1.13895852529659,1.1372686311394176,1.260608339175704,1.5179774404849673,0.8855632440408552,0.7987731475221123,0.5575045494993633,0.6218411934178973,0.5184390898033177,0.4731367355388897,0.6373029437221843,0.8110343879303491,0.4544715488015532,0.6246837167049781,0.6183218616891191,0.5767225133972192,0.6307506073076358,0.7920418820763282,0.8656450825032149,1.473774614639507,2.2444898174847125,2.613649091784741],[1.5959313312369916,0.699700386438873,0.5491071141359276,0.42490333870177444,0.5041948858624588,0.4280400925213218,0.3216125665733974,0.37924580943457475,0.3435183802429555,0.37018548973517734,0.42964737208204273,0.46303136029772535,0.4208391453623301,0.4744138062482615,0.6439645380709731,0.5634390565823761,0.6039103765291229,0.7875540260035575,0.9121499464814999,0.8136375647143115,0.977746310177009,0.9983259530201609,1.0751211524180504,1.3208029233920455,0.912191246243616,0.9545528259749605,0.795692081094012,0.6882516965811192,0.6052364832685998,0.5279318218335476,0.7125214758070091,0.5893016566787318,0.6903295526576312,0.7129401406336995,0.5998043878303178,0.6445643882208875,0.5545919054030939,0.5958662879848076,0.5736253740460495,0.528319477715766,0.9152124768196448,0.7699056151069177,0.7295375143812345,0.7549127573173663,0.8272525993376121,1.1768108079357116,1.0299416364784346,1.095233237405617,2.0630106709675946,1.8490578857490654,1.671914631648232,2.0622714902335253,1.7499595420686873,1.2425156838237612,1.3000886838693733,1.0024992455977697,1.0478602664857526,0.7957326469473754,1.2255657684639063,0.8256030338330757,0.8991262361890139,1.0143159750062891,1.189100819704404,1.3293680171866278,1.0762457603940967,0.8171181904546188,1.1939589302219566,0.9639421255305445,1.1817312431274298,1.1010108593399413,1.3991662441275934,1.7820026437995524,1.3827671535979662,1.4001292720199352,1.075439754878115,1.5577558668953553,0.9680207070186767,0.8828163611729638,0.7748489233210237,0.8042451324963565,0.6457998791137263,0.6132594605332626,1.0068135921280783,0.5829228843978753,0.5408339346302796,0.5160181313594722,0.5773295426271647,0.619790316388786,0.7227672405425012,0.7606352067996582,0.8483034575951259,0.9691536389699879,0.9108591109953512,0.7930779959066724,0.7158642939718082,0.8502089794395344,0.7614134930421647,0.6417640778292343,0.617915103634925,0.9116829134001607,0.6021898990779815,0.7523750096850003,0.5401696174166836,0.5995799117111136,0.5788121898484557,0.5098687298623596,0.7971339207654897,0.46557767353308155,0.485945240267252,0.7832097937586423,0.46447118724500247,0.3582427864513203,0.3304937007807023,0.4349048915499379,0.5169368604650072,0.5537685899293604,0.7256371401538803,0.6686846441641648,0.7913180090282664,0.8380216928514443,0.7915654572863644,0.7115522253703326,0.6379638029389152,0.464739179401001,0.442781651675764,0.5471142450844975,0.37323366745136266,0.42265436605602746,0.4174519367267787,0.5016714354391406,0.42324607090018185,0.44264924686573465,0.4270769443128764,0.5595985471036502,0.4716989294899916,0.44664275242589463,0.8843724326930429,0.8895233216196756,1.47490187733049,0.7138009547567021,2.232006896627202,2.195122648934873,0.9834074158175439,0.8616026099402598,0.6226825331238861,0.5310047285253938,0.4999692109803843,0.4298576381343872,0.35244768397733983,0.4020826138832078,0.5200598584774611,0.6222308622786159,1.0630276728332424,1.7586211171366775,1.2463375790700093,0.7590139463469222,0.5090001902431358,0.5566481294915805,0.4366337844579881,0.497699698171331,0.37238736894122304,0.4264597024826099,0.4374665836672204,0.43723745681447973,0.49900496512212655,0.6159228006338995,0.5101444898339268,0.7039177492357314,0.9351355514614271,0.8532301772815573,0.6012272354417793,0.4723635194574377,0.4291556216095627,0.37650915585916633,0.3743184193807132,0.4563223769375408,0.48248308116879435,0.6783092247060712,0.46025257458675023,0.46387156092409354,0.39700780053200857,0.43579976961853845,0.44267408395377306,0.41783252270571036,0.42628434705883606,0.5912220904821915,0.683226215027063,0.8353406458138435,1.722254428634927,1.1071745663483425,1.4232579513374914,1.2016540095793729,0.7928288961013055,0.6495005929054053,0.5671152578093115,0.5387524403637489,0.6849045577526847,0.5385390534779901,0.6129026673836355,0.576962425250634,0.8626393291665018,0.9464194087041505,0.7273162014694332,0.9248081116196475,1.153073384584161,1.0995515761736996,1.1635220907869845,1.234228559632829,1.5134149729516668,1.299725441068868,1.3376441455166923,1.6682850300685514,1.6936940171763488,1.4645695587853356,1.6167816742161072,1.5703405755622486,1.7793072564827992,1.5592349302647346,1.4257243838932268,1.682628349874216,1.7139309064129122,2.3287914037122506,2.1066612024914266,2.51945156607366,1.633380944515594,1.537608648796804,1.363325133669733,1.308687958904237,1.4135325233311742,1.1770292526134858,1.17140253202407,1.2055312135206742,1.3380244532134116,0.992142732055801,0.9691249986785803,1.099149885021786,1.0991134419456832,0.9895271735726194,0.8103369339751246,0.7655129884620268,0.8932426446614172,1.1198950381423178,1.171673322562707,1.566080696838515,1.2322158531934646,1.0754796474918529,1.4296846928477371,1.5238941386164886,1.2423595642049943,1.3671934912938977,1.6886892118035344,1.7144548662132917,1.560762544579008,1.8325878152127344,2.0301311245362417,1.9736778307099385,1.9833217997325576,2.122560716563109,1.9000156313048617,1.824379013819094,1.5935159813158573,1.6125065005078942,1.7300799558802193,1.483665867574613,1.4021453712312892,1.4810607812758467,1.4526104615505986,1.2095703931217017,1.3148210229697488,1.4749939803985437,1.2626385902129658,1.2079012554541475,1.2902910716371099,1.3400743989665151,1.2582398354895354,1.1528182866973207,1.2081550854216023,1.2786823059046653,1.532250256883045,1.164603549662793,1.129293526892758,0.9416256083913589,1.1079534465328558,1.0255752292514957,1.1101227612579614,1.2734142927110448,0.7408397164001873,0.5616471323766025,0.5321096139025013,0.8451100869474069,0.5507976238717641,0.6663426418133295,0.9901787520882099,0.980343194149809,0.6407687612717977,0.8923329316274876,1.00694025604042,0.6316504405937493,0.7652852859986367,0.9931188318698162,0.5910911717544705,1.3458717465956154,2.153814530928031,2.800004431073205],[1.5301772311676811,0.7762846926003185,0.651671983761872,0.5215163322158798,0.5940863234529938,0.4849934367533095,0.3698608387689622,0.38528411023972947,0.359746257271463,0.41932726790288527,0.44156887562870223,0.4950764059468941,0.4535401379673272,0.5289468582864818,0.6709082173882477,0.6028676644308368,0.7086976048670711,0.8889055551717033,1.0467827258955307,0.9518009314813346,1.1519045396480383,1.1743221967211441,1.2688621239192928,1.5561881701634839,1.0575439838027132,1.10220765199523,0.9397686565594522,0.8225818120099564,0.7250351451459549,0.5973485368824208,0.797972010669612,0.630062533100962,0.772898837870112,0.7829588801422627,0.6769608064696713,0.7392118142785505,0.6272603330168798,0.7192576762719569,0.7134621134931658,0.6837034471012658,1.0497469423155383,0.9204055353734873,0.9086488502641862,0.8710477961401812,0.933879901691859,1.2580556772677838,1.1434637184599463,1.2093488128605778,2.125421490255073,1.8084707064068477,1.7381476811264345,2.14261973560016,1.828701309518692,1.4700744049714798,1.4168145392299178,1.0539458935053534,1.1882297845481073,0.9729378484677023,1.2216050383788828,0.9611478392791528,1.0615552943991164,1.168408271904671,1.1888127558975945,1.506002527074187,1.285596136603097,0.9781774011578072,1.3472448636366614,1.0823369917071382,1.3084467213178457,1.1882062406334464,1.4578504144598012,1.825594745746464,1.4506900860876892,1.5246316773442137,1.1646988878612323,1.6434550641305348,1.0782806796169102,0.9651528178244001,0.881162222561559,0.9218435501633442,0.7538063147706111,0.7694889845364105,1.1125065320672405,0.6834408914948416,0.6702619482272544,0.6391936043024674,0.7109702087849392,0.7168178860778512,0.8313317301937433,0.8303400502514575,0.9341368043993301,1.064957776511429,0.9821167066137462,0.8584269331321811,0.7621805274680157,0.8979421582338867,0.7940284052452273,0.6748673083411882,0.6148576944299989,0.9123696009801714,0.6002235337441718,0.6967654712698166,0.5141570568178897,0.5684853910432478,0.5567047107816245,0.49005103697317615,0.7058660148011432,0.4548189818693917,0.4873475316156832,0.7450145019465378,0.43166663651810366,0.3819082330812374,0.3660239388420566,0.5344632527066231,0.6303913166329522,0.6703597761973926,0.8425349668891786,0.8142162515944564,0.9507752771659091,0.9934942100082279,0.9470618681206167,0.8316266622507308,0.7692583388881941,0.569807557360744,0.5329209565578551,0.654985046624864,0.42714942602898875,0.4955254344356959,0.41491079937152986,0.4703690373048319,0.4664619526145034,0.4644111198533572,0.4525909883812282,0.529754806532904,0.48668193567709744,0.4928621408014154,0.8012438861017188,0.9196502428771471,1.4440876892978232,0.7960144569754145,2.3724078913600284,2.3201847382459433,1.1129111552279571,1.0275103572311668,0.795301081547532,0.6619390060133843,0.6271378121582672,0.5225316937521316,0.40450367432866496,0.4187664210396085,0.50055192986087,0.6704673984105146,1.0692264149906552,1.794810077507184,1.294116192693846,0.7472400782757749,0.5113654199194517,0.5460853582174208,0.4518535063543977,0.47470835607430717,0.4632750246842093,0.5434679510705638,0.5576161313434007,0.5803748801040386,0.6460321841733699,0.7613007998543743,0.6085375054647788,0.8111274034115753,0.9290851224328637,0.8875651941829799,0.6147989205940555,0.5914948965558111,0.542587600410406,0.48453866276114177,0.4450009622069668,0.4783418934909545,0.5160716638175719,0.6715675188485956,0.5127528309138976,0.5014890883178063,0.4562030215438706,0.4508598264171538,0.48451481547158004,0.5009233836609113,0.5239971919668882,0.6824146176373055,0.7764452383475807,0.9283289453445448,1.819779481706464,1.2530660287738173,1.3910070051312613,1.3997688382746443,0.8944817678614174,0.7189558071351146,0.6424362668183364,0.6069805533342721,0.6787506528425332,0.5220380886326442,0.5869606919444227,0.5587000264260382,0.7232376429953711,0.7980837048640604,0.6389792986541365,0.8071433958557708,1.0063630819010343,0.9838244514848724,1.0840910845020852,1.1108257824274048,1.3726306300668305,1.2132582282336135,1.239823591606376,1.5452220753177075,1.6079033760353278,1.4123632636983914,1.5374247788234197,1.4882945790955195,1.6430339098880382,1.4269000642906415,1.2867666964084974,1.5156208922440386,1.536737413254359,2.157562485178395,1.885579797107469,2.3231192827078457,1.4205151143788932,1.321994238159529,1.1701991637534992,1.1004256779198591,1.189961583972321,0.9784903402382599,0.9845276305367338,1.0255138154040584,1.187363681498156,0.8419289287862001,0.8562608330499664,0.9810045201584876,1.0185274584281,1.0299420947461309,0.745869873492404,0.6440613136725464,0.7497881966585616,0.9463915290394259,1.00593341696873,1.351779189450075,1.0803132431298736,0.9152961860244525,1.252567177062541,1.3706072800853113,1.0915691263599587,1.21909679967191,1.5422823705669626,1.5931950270625177,1.4386238753892218,1.6824144944666044,1.8957957812531965,1.8653179435687586,1.8491227734004048,1.9689310906641666,1.7332896628062153,1.641949729119096,1.4128859225462662,1.4159855528454517,1.5338437338487316,1.3144668054344215,1.2160727927608577,1.2926195293139995,1.284778175595925,1.0605700520286911,1.1447839081081195,1.357810160281729,1.146637890244994,1.090758663828953,1.1587223688621922,1.2311495602505784,1.1733215173274822,1.117206671071817,1.2093273530365711,1.3350273493551814,1.4400490219720712,1.1608704326870538,1.0578386435580382,0.9102717758291886,1.163684274454851,1.1018537057570044,1.2151450024540906,1.4586629750496507,0.8396321992559159,0.6914714597486316,0.5271603425949654,0.723152691673037,0.5828032414764756,0.6081844154799598,0.9015861356212869,0.9976126068237926,0.6103046792336742,0.8468236137178334,0.9084274839004266,0.5914138631706302,0.8002683043384672,0.9173675690741258,0.6210177160167986,1.1904854502205868,1.8681135694207502,2.7183534645251908],[1.6437217408888385,0.5840708850427843,0.4888780891047491,0.3577659798974507,0.4733345739993604,0.42031808857161884,0.2785684480061738,0.35609712704942725,0.30316884179136405,0.34743476053037414,0.4200518768150239,0.46092362798140946,0.41515463205937,0.48724795554009204,0.7068342386798012,0.6012192273624801,0.6734556133506252,0.8891268984770868,1.0106065390165875,0.9154990483487971,1.1081898235525016,1.1088360153069878,1.1885467974735566,1.4265774134723208,0.9642423810097059,1.021246508469546,0.8577576190088613,0.7617217233051853,0.6899904289152358,0.5756672414808591,0.8222430579956981,0.6457298528499482,0.7754778954667081,0.8139975890628011,0.6892345773112329,0.7367448273565165,0.6128589219501295,0.656262023900824,0.6194225276387524,0.5839310170818972,0.9306579242488267,0.8231775485278329,0.7960692380294373,0.8254567457962058,0.8257212869300744,1.1992483328832328,1.0255546097079489,1.197641599716094,2.161401799558816,1.8974903709631374,1.801487728719415,2.1793926879171113,1.8657381254096705,1.473853824335945,1.425116117673887,1.053707942653006,1.1164144656016828,0.9695630279432984,1.2247838286898185,0.8972829296076209,0.9933980682976836,1.1447085845415474,1.2590991727817102,1.502572197151758,1.1847956604360141,0.9269320601800765,1.3193051438921282,1.0928930407379163,1.3162735488420614,1.233330812917382,1.5132230698622013,1.9488310817914019,1.5357494661001352,1.5451245640259808,1.2214181979886567,1.7019393319666134,1.115980287388923,1.0183097689591702,0.9001805999215955,0.9224952951569029,0.7461707545247446,0.7135360996200603,1.1152376637837387,0.6781404972928666,0.5619055683307613,0.5866901822093358,0.6551957250865238,0.6958410643119627,0.8181817434527343,0.867778952072709,0.9836742990003001,1.123079529652308,1.0425804636145009,0.9067747460829554,0.8065191128509805,0.9383452708597648,0.8383569660238349,0.7007582924074953,0.6243088048586851,0.9311139948101177,0.6304273480169081,0.7637713059524825,0.5729652721511127,0.6195019736030155,0.6272526417242811,0.5254618038523181,0.799715959030537,0.4128164662914501,0.4408379412086074,0.7682766412843077,0.43043480445285587,0.33430342578552524,0.2892604836343637,0.42092271061071984,0.5331084250216159,0.565971269037174,0.7721065703235045,0.6836466622397138,0.8816301572324644,0.930818023809036,0.8761211860353689,0.7854180034460299,0.6687609961966389,0.46819971643885067,0.4125892245986283,0.4910472645678137,0.3493693352498432,0.3730082246520594,0.35189728852911917,0.460760750984155,0.39489918262401424,0.40269935909286164,0.38698619746440377,0.5464050068092202,0.4364163872162057,0.40949127728362167,0.8932586761720521,0.8815028074450606,1.532029553158118,0.7013667115177624,2.304632389472146,2.036468132436522,0.9666588075672952,0.9086543894909337,0.6726707073998912,0.5859201926612585,0.5256009246490145,0.46049424664431143,0.3553069598830722,0.38841422044157164,0.5295832548139426,0.6681694579306519,1.1388360242867845,1.8029149901298742,1.2479468434960175,0.7863974625594993,0.5215687066547026,0.5730908198717202,0.4491292165202804,0.4972141651209004,0.39224245218779147,0.4823069177242681,0.434414941450917,0.4579718515685372,0.5260265482561619,0.5937664143047462,0.476340921955256,0.6297830391387579,0.8365685312649621,0.8244685531372927,0.554004640278482,0.45085376288037265,0.42022600159649515,0.38286943408464047,0.3818134857653972,0.46102269489637365,0.47151153356326125,0.6668197014327415,0.47581278395180654,0.49246591418126323,0.3835070614341627,0.43849703640778726,0.44192472902893737,0.4001728291700087,0.3930966712824917,0.5672127919010953,0.665329419827606,0.8097272550737059,1.6551002762044216,1.0379666023403769,1.4554475490816874,1.2195902992937282,0.7611270615988653,0.6016819541188367,0.5228983999440417,0.4876445891409332,0.6760293451042224,0.49523880861048386,0.587045044338363,0.5602432969806834,0.8648416505570075,0.9595356062885178,0.7294442494461646,0.9256711970034439,1.1764236635585896,1.129774562982707,1.1685902265280197,1.246289219447442,1.5558102850256519,1.3194600688060296,1.351639496105064,1.6991897422863036,1.73026634292955,1.5189917445438452,1.6234560680270154,1.5552927373058345,1.8090647665669608,1.527796590695374,1.4255805338276515,1.6973311105003974,1.7076572184220824,2.4302163996278154,2.1020384033924713,2.562482497648673,1.6564929212093928,1.5689079043249121,1.3927634835054992,1.33560581808623,1.4133440670050812,1.1685702289831377,1.1701697800827315,1.1712641619718906,1.289196847250239,0.9592909855685872,0.9851488984172055,1.009435710308033,1.0752695049045105,0.9692334709085139,0.7921824846466784,0.7600645189922067,0.894972872628095,1.1298996005856337,1.1925480623783806,1.6099709454494384,1.3001344337904912,1.1057639353013289,1.4869009422812864,1.5994180555507633,1.286490277398161,1.4280860662006418,1.7747516650414077,1.8015242221832737,1.6395513552452445,1.9077523093933284,2.1177447693308253,2.045581816643176,2.0527111243689555,2.199758273362211,1.9541695187730483,1.8851364537041395,1.6460014442312745,1.6585376100879765,1.7673835957801354,1.5148127739581831,1.4282075136908046,1.5006411085560674,1.4634110425212512,1.2071291883542934,1.3082821460671248,1.4351286850308542,1.223079038471706,1.1654549482325747,1.2510646393765419,1.2829596656923303,1.2208874184944603,1.0922760293159357,1.1339093784316239,1.2249028589522617,1.4684581193481436,1.1144793277699736,1.089208283669407,0.9081056780794663,1.0746609584811713,0.9585956765399793,1.015433142724028,1.209617881160052,0.692327421050179,0.5363656067570522,0.5190141737620818,0.7875875647461721,0.5304496982224879,0.6923704995107463,1.033693059454333,1.035845662442594,0.6563838221290479,0.8939067637035657,0.9828109579479609,0.6319426884155652,0.8019599574581706,0.9557512189592924,0.6454912172808311,1.2498946511741975,1.8350803961344826,2.9110608527171173],[1.6145855058013363,0.6242214854378023,0.5527759562363885,0.44194575664742053,0.5478180756233991,0.5256595755550547,0.41055808903922225,0.46141479934232243,0.4046651750737762,0.43074974214700756,0.4832930184649757,0.5664705738513732,0.5104000242048163,0.5682235256261217,0.7604928930381114,0.6767231341872754,0.7704402535518898,0.9937618598716067,1.1517360439711812,1.0543406926553525,1.280726919486962,1.2663188813692752,1.3975611727107027,1.6624656618438884,1.1589033604641914,1.187888833899024,1.0131191116218392,0.8789238282583667,0.8137817978361223,0.692977051245759,0.8971847287768432,0.7225956693194715,0.8581463233533478,0.8766776590610234,0.7937637355918234,0.8460352008362205,0.7213469006742779,0.8040499520698166,0.7910367622498705,0.7691621553614547,1.092750298191913,1.0113100609510361,0.9939368463358484,0.9892372844919636,1.0196691404092382,1.295586222803972,1.2085186784669069,1.3026081069917483,2.1882459865615322,1.828748504906913,1.8380047360799892,2.2133913369848925,1.89442675915363,1.7363795151698733,1.5894890951876484,1.1657322917639565,1.268352651817551,1.1875275282412003,1.2960488515250062,1.0572982304241403,1.1687885659952104,1.3298860280591203,1.3478744838417984,1.717688126731323,1.39148470271823,1.1051586111353089,1.478234688161894,1.2136253462516127,1.435866484163586,1.3010438223526226,1.5518266454669443,2.0194026371148444,1.602080793967449,1.6778459456934722,1.3057108526962151,1.7980302362497451,1.249806420311617,1.129394473945668,1.0220265208729309,1.0510281523393552,0.8742932149162843,0.8401796761083737,1.2132021366535435,0.7955648044029722,0.7116501371947612,0.7133287342821297,0.7910443649440736,0.8126162077599183,0.9449811606823992,0.9436567873861568,1.0709702735044424,1.1985453895878688,1.1014849951064722,0.9509746645964893,0.849605272642478,0.9492139490389361,0.8291145255739912,0.7381791103706382,0.7158693380776975,1.0715186333705888,0.7316140163397786,0.8725273922950891,0.6755441855755374,0.7103531124702562,0.6959096497652344,0.5943013202489121,0.8247679554675114,0.47659565899623957,0.5018080290580381,0.8017632454306527,0.4948213707409184,0.43985943939202626,0.4112412506370024,0.5424295310730065,0.6520689820219775,0.6671633411551392,0.8591502709299499,0.8895311608931042,1.023631292193065,1.0352057142724018,0.96792279513488,0.876961390845265,0.7769054189273996,0.5657278927674505,0.5075141531862652,0.5974946502055123,0.4377194128174987,0.4868864444469174,0.4319920922646523,0.5013479133234519,0.4717118071750765,0.44547361935528296,0.46236932239872786,0.5694161581577278,0.5079330574262677,0.5125359188356933,0.9109073276047062,0.9024648539043079,1.5343859283351486,0.7456840561469057,2.3550252706699384,2.030431034290526,1.088955327735236,1.0277169134231805,0.8209108717911516,0.7217791688266735,0.6523257591567626,0.5841081021047475,0.4887005388760978,0.5104879186303675,0.6491722574057334,0.8070514523322572,1.2343062823076292,1.892679537920035,1.3594739644708664,0.9050968144289661,0.6510030568983324,0.6868422008140695,0.5791417165399584,0.589529139073476,0.5304649430408762,0.6234288489346981,0.582516329853143,0.6190445539886946,0.6781071505598734,0.7399921304790744,0.6107952898905783,0.7629847556476048,0.8616483545915181,0.8929739939255373,0.636287507504203,0.5757010111701376,0.5667410576271666,0.5249611180778799,0.5168580487344567,0.5771198758488394,0.6125883518956996,0.8153190122057827,0.5924124717187418,0.6225221215304807,0.5190211134147265,0.5224397190544032,0.5153972693817219,0.5023850621689319,0.5175242147921328,0.6934149459143082,0.815319611757392,0.9401716115223097,1.7690033936049485,1.154239690889069,1.4770634339808921,1.4113379907307844,0.8444836151988512,0.6827953289081559,0.6397183732137363,0.5753346655192448,0.6897843514086462,0.513602884166459,0.5825245352166147,0.5731120679447169,0.8206858111694967,0.9311878880628324,0.7273182671014466,0.8876359176200782,1.1357738371750554,1.1167204367137593,1.1478063605278093,1.2003176599471572,1.52803126849287,1.3005096487215362,1.3113690554611817,1.655600664514586,1.7121818442260817,1.5042571280529302,1.5816704673713362,1.5172550016711237,1.7501076894557723,1.4494876667029506,1.349448988592473,1.6237627263125067,1.6224987210643869,2.3889538911995407,2.0041785369675242,2.4948246325675743,1.5838386996919083,1.497582375057974,1.3439358091525253,1.2726379423846212,1.3207803583404243,1.0847287133832755,1.0971620879454327,1.078327430417835,1.2046568534668638,0.8817981334949138,0.9687729666708274,0.9350432663715614,1.024671363053222,0.9738973174567731,0.7505614042991007,0.730614935049997,0.8605707288715927,1.0911017092649984,1.1734853510349563,1.584405952542345,1.3216218378197386,1.107913011714414,1.485912599921578,1.6363955902064196,1.3092403700399609,1.4274963539939578,1.7954041846738071,1.8369083343983343,1.6436486928320106,1.9004721783091794,2.1310134018412956,2.0529561540090477,2.033212320506438,2.17973204811151,1.909720029034604,1.8480193944784569,1.61228892100756,1.6113263142404306,1.7079174646833999,1.4582316298023146,1.3655102579068648,1.42502706929631,1.3906315065541899,1.134900581903221,1.2196233466816635,1.360985836486636,1.1480914982550374,1.0868984554547632,1.1674077756317467,1.2313890593454104,1.178346744767139,1.0724648168326392,1.126670818690866,1.2628947037826548,1.4007022397890725,1.105596120107338,1.0542648681938431,0.902917131277556,1.0985920700065974,0.9844806128630961,1.0661765283821483,1.2854260259035546,0.7226257890666632,0.60721595212512,0.5386043775614602,0.7874011603913939,0.5944729118974778,0.747489308265171,1.0805172215142065,1.1331114350207165,0.7187704701457669,0.9255341329098274,1.0086399488999143,0.6790517619045123,0.8782050089312973,0.9817069448984541,0.7413395394914011,1.063214236438711,1.6171554326030646,2.9084661790303925],[1.6982375422776443,0.560639141601741,0.5503563079094955,0.40258653782895215,0.4783323296312354,0.5069324101938636,0.36741604855135657,0.4448376996424908,0.3806672377783471,0.3786492872824634,0.4315688606863829,0.5226741368730013,0.43942621726646675,0.5021257821837202,0.7692361670777813,0.6541011379844117,0.7473540792999257,0.9776046352499332,1.126911038019733,1.0217809430919333,1.2449854102320865,1.2182629584878522,1.3405530932171896,1.5731048331310509,1.1025405058198774,1.1435358623360514,0.9646099044202313,0.8293322561018385,0.7790592493624745,0.6572667514672437,0.8977130057843702,0.6926111003694742,0.8540009806510164,0.8781549484510909,0.7652791500479698,0.8241757907945846,0.6940786303485141,0.7493640876065844,0.7190950111977201,0.6963077625402072,1.001788747860775,0.9376566534880745,0.9168074256407067,0.957395404129312,0.9360994679924028,1.2362947650932339,1.0894154346893146,1.2946158103339072,2.1928316792375497,1.8857699539827355,1.8648596794973586,2.2206028826315016,1.9042511983981054,1.6879469749656044,1.5796348681129218,1.156148709828511,1.2059415652502667,1.161987606798092,1.2909768640513215,1.0340708536156589,1.139237674502692,1.3061352226092608,1.368966159595955,1.666089946291786,1.3144690103630068,1.0638096760636688,1.4481971050648834,1.2065443776142533,1.4272703896217263,1.3321354377583443,1.5894524356920183,2.092348977376389,1.6559001955581183,1.6647302098516616,1.3230941215417842,1.8073779493561275,1.2408898479496049,1.129002618585709,1.004655441039085,1.0335292551583262,0.8541793739099155,0.8165178241561544,1.1954633733509208,0.787464911928833,0.6626927189779034,0.6867806705803381,0.7489260696345713,0.7942242657317904,0.9207803345086345,0.9423017956263673,1.0770203419839501,1.207602793997277,1.1293231006878441,0.9720523514576984,0.8590467473511297,0.9758483284374064,0.8549139031642751,0.7286586910634126,0.6719763396825601,1.0544907822440557,0.7035619075062192,0.8641298331304286,0.6442642154099053,0.704224787206819,0.6950782776749664,0.5902460828518291,0.8693593673005527,0.4829947068128288,0.5157066780903427,0.8433758389892683,0.5121814189136523,0.40937530091445307,0.36289948610550066,0.4608711517677548,0.5599151051636497,0.5941245144179481,0.7986773719579887,0.7886687225560002,0.9607981489504591,0.9961877659264917,0.913049812414508,0.8194463400148728,0.6973487097002325,0.4727358980188302,0.4082275401218298,0.4892921796117372,0.4244318930948892,0.4193897969371337,0.41568955671886804,0.5270229784612744,0.4700059304770713,0.46914370293215935,0.46753817327771435,0.6093914544071733,0.515978873237247,0.49775083656357433,0.940254543232593,0.9226868967237181,1.569360059709568,0.6854711358502916,2.3092207760871286,1.8339855379452048,0.9730562961912957,0.9232811516708433,0.7268343392751311,0.657287202383533,0.5692038128212988,0.5164747868926702,0.4404683987320691,0.4684794142761987,0.6109632494646754,0.7751346661743723,1.250012352323254,1.9160564949283643,1.3618264602849883,0.9086077435279596,0.6153052699298482,0.6669941236652612,0.5316752059005436,0.6024077605051313,0.45049401085736185,0.5662270141362756,0.49478171198374943,0.5353478724126386,0.5915230858108557,0.6396193196226448,0.5411396078641819,0.6571939693584367,0.7926221827475576,0.8484342537303001,0.5849867545648768,0.5124386942513297,0.5038425297959634,0.4638905213698917,0.46456796152695456,0.5430111474432919,0.5548149714262728,0.773039468852616,0.5613258598067691,0.5732432451280213,0.4698902926879772,0.5155897147082716,0.5121403916763114,0.46750653049001684,0.47964884075640124,0.6243458203296935,0.7307085975793731,0.9106278248599895,1.6504894042636296,1.0292897849490832,1.550921257837105,1.3042994887604835,0.797061723912681,0.6349863116096703,0.5728590423348862,0.5487490755647528,0.7440521474878347,0.534557897441166,0.6351034373343758,0.6171974294034233,0.9138875286298894,1.0257973237254532,0.801824405672727,0.9732734835319994,1.2305522288435191,1.205876597679528,1.2152979225374019,1.2762756420275168,1.6111545331394204,1.3674491962516735,1.377567971001283,1.7199197544154015,1.770659507434236,1.5857987061903513,1.6211710403198263,1.5536843727183205,1.8170471504696777,1.4980065148193575,1.4174017894252124,1.6987089020663362,1.692863801650909,2.5069049659825264,2.067651229880744,2.5842327588051326,1.6736043399750384,1.5932315684808365,1.4351396900520732,1.3765290465241125,1.41586554316985,1.187335562756869,1.1992688650059409,1.165882749290524,1.2635436316839246,0.9574589296410554,1.0433290172610075,0.9306955422406077,1.0585026214269952,1.0131742628101765,0.8173510948765712,0.8167392952373794,0.9514299652515961,1.1936338571675145,1.2772492959347288,1.6760687638225058,1.4083612511342292,1.195885410136133,1.5788366882183777,1.7330744337764648,1.4052589677818925,1.5205510569092326,1.8926659133412507,1.9275358671550014,1.7338387231918733,1.996267278425277,2.2254988463345096,2.1418601327916647,2.116314644286551,2.2635633881667325,1.9888640596799076,1.9406001096073529,1.7158787979912673,1.7152474516689524,1.7957617340368255,1.547965137769675,1.4592303163252798,1.517110279004049,1.4729168584971597,1.2205688520124718,1.3029066990080167,1.4043983411430472,1.2079132324019701,1.1423554133473048,1.228439693898269,1.234799971391831,1.185529000126946,1.0670066210294433,1.0950191217222387,1.2222562879183712,1.4039045794210199,1.1013459608234282,1.0990698132503496,0.9372243661311163,1.087246905833964,0.9492728896617528,0.983675519333191,1.203755037618579,0.7002178096689684,0.5703170705112106,0.5728809781772866,0.7925910520752917,0.5934105504556526,0.8302368826617388,1.1662203304285585,1.1835791212067,0.7759181315475234,0.9668262975630422,1.0615311030999486,0.6933720935675709,0.898337900903592,1.0046020891752931,0.8460507869944283,1.005244539350853,1.5227627908859513,2.99404008976416],[1.882013888681063,0.7593751029267998,0.7014827988815524,0.6223163105819757,0.6459687020755789,0.6542855527195809,0.5964850207884175,0.6653204457520575,0.5995036634870788,0.5802083436585108,0.6079350658283222,0.7571083494368922,0.6453497664884547,0.6620265059561717,0.9318094452781724,0.8264123357190948,0.893376301575591,1.1235470000593404,1.2526599241196124,1.1589284483153999,1.3863360374542857,1.3500894601851454,1.484749267378734,1.6802781550070776,1.231551781958855,1.2646557355206682,1.10453757577147,0.9763068303526127,0.9510707844270461,0.8398942602592877,1.0688457305916912,0.8754924314270576,1.031974368481047,1.0499013252904998,0.9504410968926225,0.9962102545012728,0.9041052007073475,0.9438003850515917,0.9028475562444788,0.9005035031933953,1.113975849228086,1.090020356376058,1.079296745869547,1.129171982632282,1.0696619203134983,1.3324855197080394,1.1822704878490131,1.4648944161299802,2.2955545858822677,1.9969407630458211,2.0183145329122216,2.3335813366856883,2.0312915387014554,1.8899027264837618,1.7987324951549384,1.3394276939175411,1.357949281097414,1.3886240004277162,1.463748362773894,1.2543195879878435,1.2974443726395921,1.461738567195992,1.5117262179098456,1.8035208823215771,1.4353097654372837,1.2267876680378855,1.5593064201148916,1.3343629736546252,1.5346594071021677,1.444443284178756,1.666357264427422,2.1940969750440518,1.767376428126415,1.7971792091131968,1.4525500733833228,1.9472749770802835,1.3886030469216182,1.2952632203989836,1.184346382551943,1.2054751816896347,1.0740757836168522,1.0041682375474805,1.3396257817917587,1.0576540884885097,0.8766777100104105,0.8936310308298887,0.9386618607100761,0.9770244995018997,1.0763353023783062,1.1234665238279586,1.2365704200958274,1.3605483980894957,1.2833076960851337,1.1224975664307337,1.02684501160377,1.108481394589503,1.056802093656056,0.8940070209077826,0.8416978626571401,1.193977134012322,0.8908514854082014,1.060036152802417,0.8711637514765436,0.9162076783112614,0.9175063565433763,0.8179564693654926,1.0289423733867713,0.7319600417555084,0.7651890266522876,1.0088470982215985,0.728883909824416,0.6605920334981858,0.6157524427315234,0.6573007206312846,0.748102304161313,0.747251030332664,0.9409547611617577,0.944970998569131,1.0849547448641261,1.1331375601221305,1.0315125078145202,0.9534706599318912,0.8294895659559823,0.6348584485270605,0.5963790206559468,0.6744131816331779,0.600183929599392,0.6412752246436231,0.6382805022426644,0.7465351338541275,0.6499311500175597,0.6914633300023219,0.6769927488148572,0.8127685872511093,0.6772711867232628,0.6618372314782982,0.9664981898905137,0.955245961227288,1.5337060504669036,0.7974287916245526,2.421570426380515,1.829201171306952,1.0965715649900987,1.06413626522481,0.8865940232849051,0.8343675732680326,0.7628412196271449,0.737265203892854,0.686820221544379,0.6963996030065188,0.8382063619928111,0.9556788774923273,1.3641364020762574,1.955139666059758,1.4077856078100743,1.0751027083457538,0.8345094924906831,0.874825010969029,0.7667159920831297,0.826534298075672,0.6966617442687049,0.7884013900937572,0.6977573772677428,0.7631339457405777,0.7561762047722654,0.7714869210304812,0.6836997330893257,0.7697871670551707,0.8669826302350113,0.945407781145958,0.7000184714541011,0.6515034606401662,0.6972410972079816,0.7163890217000728,0.7255940640250353,0.7937924048148703,0.7937385109328069,0.94723372740199,0.8049475670287684,0.8349964446340042,0.7210878310383245,0.7669600645168538,0.7548869690621152,0.7222080761534007,0.7094333283578597,0.8355004197860829,0.8921796166331595,1.0896045966062853,1.6889299207549007,1.091161328029593,1.6627477556599004,1.3935558473531342,0.9066498045453797,0.776598843831055,0.7470506351237592,0.739778795167221,0.862263103987499,0.7070310682527299,0.7709726818292554,0.7839138250957206,1.0316815773425205,1.1425955063254254,0.9378417889544888,1.0574427057244646,1.314418145108895,1.2776198899541067,1.2715548253697364,1.3187393895019974,1.6560268252392858,1.3874015889519609,1.3929479550995314,1.7262125155427885,1.7627369223184821,1.5921047028565796,1.6120533941920527,1.5328202000955162,1.8401562603725905,1.4940230789305584,1.4358483561306357,1.727909529247971,1.7264106250813995,2.609272633771158,2.145118183466757,2.643675399900256,1.7410195487512738,1.6838948436414953,1.5520587004706905,1.51975440193239,1.500026739722037,1.2930273962248793,1.359667295763369,1.2864592883889736,1.3262411532925846,1.080295588808319,1.225130287451049,0.997967767493594,1.1296303614640009,1.094596291482326,0.9138869840856476,0.9710710479592036,1.100108681418828,1.344355246249689,1.4160028714175628,1.8097804976997933,1.554917132909309,1.3415761953321679,1.7053232623809875,1.8947609325631452,1.5480875273978438,1.6175857686799326,1.9986769577647492,2.0208477061438987,1.8004176881145308,2.0715583802942468,2.3056287387478185,2.1792894375304805,2.148175669013546,2.3206916565198497,2.0313963545756986,2.015345005603464,1.8045260988611251,1.8069987188366707,1.8673990365594701,1.601912248370981,1.5373099303043822,1.581857172203678,1.5171292161696603,1.2786229922667791,1.3669216534719733,1.4122714009047213,1.2180598826777533,1.1797872580338231,1.2578833760795138,1.2388765645687614,1.1751846222851565,1.0791659813477472,1.1233207766218807,1.271486663937678,1.3822542913097486,1.1087058890579358,1.0995617582643402,0.9684250508475087,1.1222990551920673,0.9707292601523873,1.001433707484193,1.2253209418231013,0.7809914971619636,0.7330809877409885,0.7098811655009631,0.84446895937564,0.7297206750730107,0.9771758239871728,1.2732237251561467,1.255931877461447,0.8975211376939266,1.0408243935273016,1.1516200625533577,0.8635352055877148,0.9254445027532925,1.1171845274005279,1.078396931080877,1.2679329158157995,1.6742007000100199,3.1751772776581095],[1.7140622830238916,0.6165435532544546,0.6271183355346623,0.49020475342544856,0.5251971059351299,0.5695579028332834,0.45031621427473545,0.5158705987450102,0.45537369308914205,0.42458584940724936,0.46167908709426286,0.5955760915697834,0.4903923556974721,0.530809800804849,0.8286238531550671,0.7147357379808416,0.7954938075211576,1.0448312714380579,1.1992483368656677,1.097393237279981,1.3304688251685617,1.296566757008757,1.4315117617975175,1.6350236905938484,1.185187300125379,1.2158307351338753,1.0334813698832495,0.8882067927925072,0.8557706358088547,0.7260914537312451,0.9654686200939514,0.7461695564987819,0.9099367311834106,0.9410895639602366,0.8347315829116484,0.8967068975062625,0.7818385284154612,0.8375982792801935,0.800723949286588,0.7941688053164775,1.0474114721353016,1.0201035889846746,1.0046969618711157,1.0565668874974303,1.0056732907766035,1.2701018509853716,1.1284724647314972,1.3824802703827488,2.242623738100133,1.9076457489296417,1.941525130437629,2.267305262683527,1.9475321720760106,1.8469320031913028,1.7245988771724605,1.259342682873329,1.2822104396053766,1.3124849969527117,1.3859828321295402,1.1576086449731315,1.229005123986733,1.393609750331406,1.4451226668956398,1.7419429137917577,1.385598097562265,1.1565804235815804,1.5155874249130017,1.2801211353783997,1.4899097542478748,1.3986374202304854,1.631652314565745,2.191995838939788,1.7334248661680756,1.7332592358515846,1.3952713725716122,1.878467608858854,1.3272266750764286,1.208209833991715,1.0953059027321501,1.1272095779914508,0.9549572842890013,0.9023498872873702,1.2390559910533603,0.921641586863819,0.7540196458199586,0.7720793968540249,0.839766974028771,0.8619536287280635,0.9959252739059947,1.0160781292816525,1.1538516808163701,1.2817380733784036,1.1951283546050222,1.0250436302036414,0.9124925152491681,1.0097710430212168,0.9088831853590221,0.7609478174325719,0.7052594079536932,1.0991701222628614,0.750059785918688,0.9260416172238903,0.7112897589709529,0.7604078641272309,0.7581606912192572,0.6592441882742465,0.9191324802314931,0.5677434411439759,0.6102543720240152,0.8680527073593091,0.5808907389104984,0.4948544077593361,0.4409450571597865,0.51113737688481,0.6047475285621511,0.6343464645093669,0.8370892582782133,0.8660236793608805,0.9971084370499993,1.0469470007825534,0.9362863335732777,0.8537355859308985,0.733825580580997,0.510429106670021,0.43539644502270075,0.525352251768311,0.46473501331484146,0.5038708026729113,0.47781257696019863,0.5863115118837318,0.5224866557833249,0.5323766480176769,0.5435234745773485,0.6721499468451851,0.5791946964863885,0.5687150437441691,0.9373732974581476,0.9621070277549235,1.5554608629659883,0.708724354570658,2.3342669868759756,1.7065860213171964,1.0050831201501824,0.9572355097130147,0.7807340022630289,0.719228265044736,0.6292977719480967,0.5885065595285909,0.5197023439907482,0.5265938690066376,0.6914331388572671,0.8425535995452557,1.2638315875172215,1.903123669969796,1.3742361580851188,0.957969165688339,0.696999664610523,0.7359775376723772,0.6133386405109371,0.667090056955408,0.531432844168952,0.6427545957841578,0.5704561119107727,0.627657418378233,0.6568322519174061,0.7050620566076656,0.5963426780910319,0.7027548786296174,0.7878296060996235,0.8800518160189433,0.6222215345152627,0.5637893235854806,0.572687604267207,0.5542145036298395,0.56623676112889,0.6379819481571589,0.644901283648639,0.8190524054134675,0.66558109702947,0.6770711423315638,0.5652167694981445,0.5928096554968544,0.5866008292480821,0.5547267206677896,0.5620114018380226,0.7121928514397681,0.7997529865651536,0.9768810541195282,1.6455072459449347,1.032775515777814,1.6103044812365408,1.371326955411897,0.8576494469467006,0.7090744027652308,0.655987267202985,0.6298960024297321,0.7920451147201663,0.5742710869683163,0.6461135270292983,0.6379762784070683,0.9006940045490711,1.0166257439401354,0.8183527936669324,0.9562660324500151,1.2096791157773417,1.197962594390911,1.1915376624018612,1.2326754991664703,1.5748710855473942,1.3350903524967817,1.3272431710572254,1.6480705811714191,1.7116019772407856,1.562712988060846,1.5479430644113712,1.4838038703652763,1.7405492724236744,1.4093204681345126,1.350483473215878,1.6164850648333047,1.5954783244147366,2.543516436426364,1.9743573142036293,2.519279038374991,1.6091447286990044,1.5466646144132923,1.4205881551757233,1.3655388232957923,1.35675436135729,1.1387437149340307,1.2039815052525256,1.1264017481118052,1.1646782904057018,0.9080357124103126,1.0967405654368014,0.8416413231166112,1.0296648630021494,1.0038477554666354,0.7866047167800799,0.826785287920105,0.9763154459220127,1.2036902586183467,1.283019311431484,1.6646627802796796,1.4339936857852955,1.2205841280933818,1.5747772134369158,1.7559382983089782,1.4321493860795078,1.5146248068242014,1.8804247534622462,1.9194298085620038,1.7198616899281478,1.9596836374788549,2.1799456707301945,2.1046353288029493,2.05535075475009,2.190744891835717,1.9154487778778906,1.8814052865691335,1.6741619416132492,1.6702929726418043,1.7317379615619963,1.4955867588052052,1.4071493821696353,1.4487242294583416,1.4026516288292452,1.1688049310131123,1.2445653346629895,1.3207713419537912,1.1331601287233635,1.0832153228752726,1.15102567414558,1.1643080954877827,1.0867340554215261,0.9911423693494905,1.042801948486118,1.2399333164240043,1.2927315463464681,1.05249591415965,1.0477123188859396,0.9232956122537785,1.0877756241454712,0.9276771820280082,0.953176670771674,1.182857288325479,0.6922245770736741,0.6097257912124825,0.5858641637279652,0.7528073345747122,0.6338003348128709,0.883429328226308,1.1928388898658144,1.2097698210661159,0.832764134784064,0.9771613539425701,1.0502756383570022,0.7760896093674542,0.9105985168519579,1.0407066681712336,1.0471585601578712,0.9885424079262439,1.576342497259657,3.1064659071424527],[1.5691230482246028,0.512498516533888,0.5624480418840146,0.3837752680596902,0.45379286174948436,0.5154830336963651,0.36398143949691814,0.43155853035396546,0.3679715502517784,0.30607273356099135,0.3441935769232134,0.5518267808216182,0.39243369943292006,0.43693182985281137,0.7068707885288726,0.6129308502168967,0.7423756845248717,0.996684450198706,1.1820452923575724,1.0707713553703655,1.3148343894341707,1.2855880768835852,1.428330415089806,1.6696493228133529,1.1892032446151009,1.214464116703024,1.0218127905890144,0.8628327730476849,0.811326831252047,0.6570922622292038,0.8879002081925188,0.672544145501175,0.853475048544014,0.8730565612950564,0.773912695742641,0.8415529063903746,0.6996101466559039,0.7947658027839565,0.7698992399538395,0.7673551870558837,1.0728163712867833,1.0186214334161556,1.0053694296036046,1.0348926345780305,1.0056363038809646,1.2655329072638295,1.1433221255327157,1.3486535793568009,2.2228019020530327,1.8291149972210317,1.8891348315937364,2.2238305813358332,1.8813584405200554,1.8467242761617337,1.6751021543954099,1.2002962934649894,1.274901156039063,1.280565167471427,1.3299177662202777,1.100225579948672,1.2031570585477014,1.3531113354109634,1.3687989530311724,1.733948989332761,1.3926931309600286,1.1351797178840217,1.49403403545453,1.2408444172795454,1.4670834998548845,1.3445370271828918,1.5994983452267963,2.1450021218866246,1.6797724839440982,1.7193708920722115,1.3435289973061375,1.8293010095595454,1.2833651629002047,1.1557544564267759,1.0479262884915308,1.0912494658098286,0.8985031409088278,0.8559890314099728,1.2075378774775571,0.8372476954323561,0.7109241452820595,0.7153862116336155,0.7953494154657431,0.8021181644741636,0.9664225383141458,0.9628118037368564,1.0927157845865751,1.215860338284547,1.1150863624697722,0.9444701049528308,0.8238704103481981,0.9225796310163675,0.7856189274996608,0.7054655096220487,0.6616638849819256,1.098184624300821,0.7056869876719633,0.8365600682089797,0.6279906163561156,0.6723588663405204,0.659844284234167,0.5466967627976727,0.7901726554553105,0.466598636112842,0.48697326440151134,0.7840694928120207,0.4747333831696514,0.395943293966979,0.3498440965800206,0.4386516044156925,0.5521213099552378,0.5947455230829825,0.8046916363983384,0.9015886361958486,0.994802028026495,1.0211540759887676,0.9173336639100605,0.8197677546748225,0.7143469805357537,0.4462540177780178,0.35707091686773323,0.4555822402055471,0.38714216175090893,0.4242142005261208,0.3766787338119448,0.456857073154943,0.40459248345580867,0.4059148341684272,0.4242515522928349,0.5646024740432225,0.4579909502784657,0.45767578750082144,0.8474679229652268,0.8826290358065141,1.485493684970934,0.6433848614534183,2.3281568724467503,1.7315787118218267,1.0187823509093858,0.9578795738570366,0.7705233545214627,0.6744054266918603,0.591906691660617,0.5262382610143257,0.4320058077043131,0.45028221169939453,0.612312359128715,0.8049019757963953,1.194158473286226,1.8866796088536557,1.4226619267353602,0.9137333563030074,0.6324625032949883,0.6583038574040452,0.5346586697215115,0.5617397565931816,0.4524510792120965,0.6011290566782751,0.522481978386878,0.5884028435454847,0.6462867158824611,0.6955392856118405,0.5471145610784472,0.6952808262343803,0.729689505505307,0.8353855258405438,0.5492591050344411,0.5145900879167498,0.5108482681930221,0.47097552520762076,0.48428948000966704,0.5499957956388708,0.5668208518254497,0.7457501123936413,0.5796102318497421,0.6065615946206007,0.4801257117246596,0.48003317681128566,0.4690334712711654,0.45924195332402584,0.48181359882880936,0.6541802695703364,0.7803600840693412,0.9499742672066648,1.6745145548554357,1.0554787902345646,1.5388502254353251,1.4355030847161816,0.8444417641150347,0.6617776142329247,0.6018005047786967,0.5307198530685958,0.6888109167137683,0.4519722857609931,0.5092957006818438,0.5016188985961519,0.7244161561213995,0.8539031891475743,0.6815257264480183,0.811101937581714,1.0519804072691687,1.0706752540620248,1.0803716978086282,1.1017517397581764,1.4395541766394098,1.2415750473997806,1.2228176289333885,1.528000317351835,1.62677605275356,1.4890300710129367,1.460986735002773,1.4116732958385956,1.6085656257428582,1.2834694799161828,1.2099575033455943,1.4553723568385848,1.4112902410248913,2.3548907298798576,1.7635952267543373,2.370852460844664,1.431985068006208,1.3505008607420546,1.231546867022606,1.1585969896868664,1.1512310888042467,0.9445822368781446,1.0082791844303562,0.9300307203032548,1.0113386957390442,0.7261477239926534,0.940995705595879,0.6834149418339883,0.891339873339709,0.9173821398390439,0.6255819369379941,0.662665577357421,0.7969585533184116,1.0215011673906922,1.1129255594180052,1.4804249798393245,1.2771371349597453,1.053180735311563,1.3930855853721285,1.6030212610425034,1.2748917347150748,1.36361837165214,1.7286500119858093,1.789647666414861,1.5935176716183845,1.800631665415151,2.0285741831440034,1.990148592420219,1.9127405466400154,2.020686618913357,1.7515762526970007,1.6935740727111699,1.4893359738924212,1.4710948019124193,1.5405837551362673,1.3338254586027964,1.2248950738436066,1.2646703532358574,1.2383236127307418,1.011966869171882,1.067326474155223,1.1758929228463886,1.0031046797618448,0.9504931379796736,0.9972241278736507,1.0756068191393322,0.998290022883158,0.9281661008576931,1.0200785528108907,1.2524375538100103,1.2117185872990406,1.0074699654273975,0.9603245443383955,0.8582352631388287,1.0670835300481925,0.9051975001886701,0.9496829978388476,1.2236213947706813,0.6697380586197872,0.5463785223910971,0.46495050469582344,0.6721405444752225,0.5899035891425285,0.7649460527251217,1.075666737893682,1.1612481472364042,0.7548434961159585,0.9232883154827035,0.9678049842906699,0.6913752978963997,0.8967319956154264,1.0011684109081067,1.0612747166661227,0.8782386241669948,1.6655582715873785,3.058149957650973],[1.51673233957047,0.5245599262710147,0.5920851188087994,0.3991319942370034,0.4547701093389255,0.5247082174234985,0.36468098537784893,0.4021896669924317,0.3514637063002923,0.2947187444763852,0.33172138239578286,0.5179816698624848,0.3767431766100446,0.43556121160594347,0.6991478869806905,0.5926137150967526,0.7233534673838904,0.9663558290374091,1.1170220953308296,1.0133926442880337,1.2242586036615841,1.2113933397355037,1.3126918471008573,1.5388005220616556,1.0959376781836527,1.1378442365100925,0.9733828141441009,0.8347021004161276,0.7762479866210823,0.6238146968749336,0.8428391475890394,0.622640537758897,0.7656289722699058,0.7936223199934057,0.7070345027323934,0.7893550440806214,0.6457525727992991,0.752969016967555,0.7335367978422755,0.7146240738552813,1.041192560132774,0.9575002406646673,0.9341373120176433,0.9777269381883081,0.9424542551208023,1.2458116411070583,1.09186512217275,1.3097953734689687,2.22380183935287,1.8572052182574788,1.8622774228857693,2.2044994442039894,1.8580855969437409,1.7302127542735377,1.5674407860324935,1.1192025889690418,1.1961712817013623,1.1525234462659966,1.2631944000341195,0.9951619637937148,1.1079430246784356,1.2454693279111797,1.314997065888511,1.5863685398005896,1.27271143556869,1.0364367596333468,1.4067288090873595,1.170226947655578,1.3926974071609148,1.3082318079345276,1.5760869931907537,2.0511978593336333,1.6071357771968684,1.6064150669047046,1.2669444589767695,1.701385317603199,1.178228714090068,1.0481639116952362,0.9536903485539596,1.00296980618461,0.8174745832503986,0.789613252478253,1.1734643572567187,0.7752678191387818,0.6760694708693674,0.6678626625874274,0.7399850892633218,0.7328940887066298,0.89821022995552,0.8774412859415691,1.0108784019952608,1.1084245059687876,1.0263575915154544,0.8701769557190511,0.7776669121370993,0.8852730079282045,0.7679116230226308,0.644576452223321,0.6007196476459769,1.0264783078430975,0.6214142877776692,0.7562540633345703,0.5571946525671896,0.6056169379807312,0.6129612421796973,0.5024920046955735,0.7307754355379517,0.43981722542796736,0.45334877502439946,0.7619470402625708,0.44455042720370025,0.3748440842908042,0.3305764240040216,0.4409569174826499,0.5493004347078988,0.5864702414644769,0.7940658263146494,0.8113374247033801,0.9479841108842757,0.9984762641897589,0.8949079800986396,0.8134266986053184,0.6938458693839629,0.4378443487338141,0.3584452205274468,0.458140193352931,0.3858590043237594,0.42249058071765044,0.3657309414898609,0.4343150558375765,0.3903721663953061,0.382271349048704,0.4081374872537644,0.5375831195086677,0.4479897181642696,0.4542232458529868,0.853647451314672,0.8984655386062615,1.5127431385997914,0.6496587824012086,2.3250738017592596,1.709919192855356,0.9724493568001269,0.9345246032223056,0.7379864756366354,0.649353744338295,0.5775444351230722,0.5094269261359753,0.4038303867202388,0.4259179073946099,0.5710746365179954,0.7683752238797296,1.1152862042231075,1.8557036492407546,1.4275374455254457,0.84064993943216,0.573879307501565,0.6062013140834137,0.48225604233561287,0.5201115760817685,0.43212288156504,0.5726425657256614,0.5030527698313288,0.5642443266360647,0.620659950620942,0.6758825107083896,0.5355937310860941,0.6730972235821497,0.728214132652107,0.8341228804658835,0.5529299215447253,0.5077471592146898,0.49920751591906654,0.4482626522023709,0.4492330888543913,0.497657854446652,0.5146948422970734,0.6825685457361943,0.5278946054946729,0.5624194782645243,0.446117383865613,0.44421633344524714,0.4391069372172567,0.4331862693064325,0.46038677233439596,0.6335744979138046,0.7578696861866977,0.9248189432276971,1.6548632779391834,1.0410438911151345,1.5315626465613232,1.4107058359377986,0.8343718869104504,0.6528275485097758,0.5864037517513314,0.5222739995124366,0.6814092577731625,0.42995939719887,0.4842829154806583,0.47535190899902213,0.6689882108968592,0.7905864373243483,0.6404391101701397,0.7667126888644655,0.9816681940767253,1.0161483054057245,1.0506895061500625,1.0417077760083155,1.3521623185570972,1.1926149707132587,1.1682915307864563,1.439449720376924,1.5557682027488944,1.4586841266879895,1.3901730025137276,1.3553526247065517,1.5098086860733377,1.2058029319618464,1.1323441884497036,1.3504686066850824,1.3020401606629213,2.2462717786286674,1.643457530568163,2.2624711462024534,1.3231364411417694,1.2434884356794422,1.1402979456061881,1.066859115300821,1.0497807389203968,0.8671763091433446,0.9281098226991681,0.8612651098157668,0.9604310823562656,0.6748617773355582,0.9084987845431154,0.641269261520196,0.857728210805948,0.906391053485615,0.5908261455561425,0.6242761660232308,0.74684289003834,0.942654552299283,1.0260701711119824,1.3682145998864608,1.1869852677772657,0.9747988612264471,1.284823574979778,1.4930531988892686,1.1875468887852445,1.2740980888551916,1.610248443544236,1.6829000575980437,1.4993977376731977,1.674370897975615,1.8892931629561887,1.8794644729132903,1.7926801227552978,1.8691019735499999,1.6213286809206324,1.555004388128024,1.3730527668746029,1.3452929787008046,1.4126936030738593,1.2391635206874334,1.1265162976531793,1.1629037722039908,1.1480792591571114,0.9431326218631101,0.9842639406759299,1.0963153717461647,0.9427287347938657,0.8954570511957158,0.9303028551532734,1.024039876544405,0.9578312602906716,0.8957493229137555,1.0006886760166127,1.2541993594099108,1.144011298006798,0.9722356843551087,0.9235169068419803,0.8400908032154468,1.0496829121657076,0.8844450406802442,0.921590251026608,1.207441970676442,0.6717308536733051,0.5511866400844474,0.44866994884922473,0.6513272885482874,0.5972016756284062,0.7313866691732654,1.022622004820223,1.1253644002957297,0.7408126980936242,0.9026655561997868,0.9192569354034238,0.6601293419909583,0.9040028369577463,0.943303968955288,1.0746662458221232,0.8807666991670856,1.8267085393519238,3.0384914148599997],[1.5009767380157213,0.5780556405299851,0.6996323012788841,0.4718271855023582,0.5191508311901577,0.6248220280568176,0.477949168731204,0.5519993741112593,0.5126892856211525,0.40086094988165977,0.4221309907709779,0.654265921663632,0.4427657544068058,0.46887743180285946,0.7426222990556262,0.6307470663949232,0.7749215378238427,1.0407577480372456,1.2126125274194,1.103911960431635,1.3329966318201716,1.3060863446166668,1.4284397367021333,1.6376105821817903,1.199985470682793,1.2246343197024323,1.0437412296215525,0.8913488194165378,0.8474439701666366,0.6856018462285999,0.8948077739618973,0.6581986416089403,0.8208126258935906,0.8391000856310716,0.7582793383876802,0.8536719405255049,0.7119949971639997,0.8261967906071396,0.8084367033579507,0.8057278284555205,1.0943606370118137,1.0476019958518274,1.0205039311901576,1.077979908095461,1.0254830900312093,1.2910478993211483,1.158793694118196,1.3903650594244599,2.264244995888626,1.8746460617773488,1.9242381155799133,2.2392739758064524,1.8986984846000117,1.8961737205985645,1.6961795221771168,1.2097222709345634,1.2859437123208564,1.3019068773445845,1.3284472943721677,1.0924225711634477,1.2140212236862442,1.3384982599572888,1.3863336073525727,1.6895116630221552,1.3652532719799102,1.136641772312262,1.5079587858806676,1.2762531264608572,1.484605495756861,1.4005543448905227,1.658921224588375,2.1832169267159793,1.72550979466877,1.7144214346921496,1.3591803383237828,1.776169921622084,1.268830268378518,1.126371968080271,1.03238523617388,1.0810029877690752,0.8905245290075396,0.8650181786434924,1.2268864719340347,0.8533114443029955,0.7461647099591558,0.7372210242966788,0.8153946911871575,0.7987614521990385,0.9652872525299712,0.9344932746674587,1.0832268910733218,1.18064601487387,1.0897557213534284,0.9038982294935991,0.8075720220535301,0.8931021980566346,0.7758028222759317,0.6746512449580297,0.6865907602442705,1.1386936467060673,0.7145520706540595,0.8732489939570814,0.6402417720998759,0.7123524569647738,0.7061897014387662,0.611310625125723,0.8379439625973506,0.5331991062245071,0.5511222203542431,0.8618475999327447,0.5636711987524309,0.4920613594806204,0.4399191223934368,0.5005027764088869,0.5790610048002905,0.6163187958103252,0.8188617262372814,0.9189236317985644,1.049892978643066,1.057770960095161,0.9405515862121762,0.8348266857706442,0.7161268441227171,0.4671898693768175,0.4040517631633268,0.4881221689325782,0.4754727014296957,0.48795236129197905,0.4733672414369262,0.5333431541461529,0.5010216075198827,0.4956801089273214,0.5193864287844406,0.6435806779112482,0.5370213895756693,0.5408723761610973,0.9045456086384496,0.98453119191328,1.5275782498155077,0.6951428282649333,2.30888736544808,1.5768899554467457,0.9982256888682076,0.9536944211634528,0.7895774823963311,0.716989452363883,0.6278222351011294,0.5654780200239055,0.5059052403304275,0.5234628950864139,0.682071628483861,0.866533086255471,1.1797880921206363,1.8541817368465014,1.4861028114980803,0.9442399598139197,0.6989903224843612,0.7272763850946123,0.5839274306705257,0.6315004402389655,0.5079120049777607,0.6468609869238339,0.5928324134602994,0.6455566251276801,0.7007552483070018,0.7545883739631148,0.6291722646184801,0.746663941599802,0.7385102792175836,0.8742895408053717,0.6210865721091126,0.5971229341638385,0.5822705069534221,0.53739268106747,0.544519364544685,0.5937313496115252,0.6081865333978606,0.7848565110570148,0.6164764680078902,0.6513113310179706,0.540819473886946,0.5472709591816206,0.5341416467816965,0.5333013921369578,0.550386011458171,0.6941128342530923,0.8210060578234181,0.9860431043169408,1.6613780061679655,1.061140599412002,1.6070322815351026,1.46517566612016,0.8827748789113296,0.7152866991505746,0.6614336381793258,0.6182028643593461,0.768398386286116,0.5146910113534464,0.559791763305863,0.5537820454488884,0.7392819754084186,0.8699374333498961,0.7214869723591854,0.826141549523688,1.0436567266598902,1.0848520800807413,1.086166635174148,1.0824213345994813,1.4020688777563974,1.2342952810081362,1.1974221272353416,1.462346121329757,1.5849711842057557,1.488227099883641,1.3998816609474298,1.3578301815868992,1.5279693899296412,1.1971653045663144,1.1490139291147832,1.364068066981657,1.3086463859252233,2.29658408169432,1.6369129005839194,2.2871419325267683,1.37036150003294,1.2955924182321372,1.1963905591382487,1.1281546181199833,1.08727979617621,0.9153445943125296,0.9829703771666327,0.9131885101209865,0.9705360514292874,0.7206638830106386,0.9994450429015721,0.6202387791838139,0.8588894461626299,0.9130500325495641,0.6418292802979145,0.7129062877513422,0.8371893504203985,1.0197822883274066,1.1158707964493766,1.4551501788737444,1.2847737326784132,1.0707488106526684,1.3741455254218855,1.5813251003114712,1.2928661718895496,1.3565700179779885,1.691201285138197,1.7616742158028331,1.5632507944046254,1.7364610619408787,1.9549126608222542,1.9320237861742935,1.8294238466896424,1.9073959111299248,1.6595957225507534,1.6064934325509388,1.4349136029148377,1.4059691482750252,1.4525498243753472,1.284942185709319,1.1762441928728156,1.200381626366146,1.1748581465155383,0.9773645424013296,1.0202697984087155,1.098475500851554,0.9426707938490865,0.903653251172788,0.937631932976615,1.0115171596737222,0.9470798874028405,0.8865722591240591,1.0001925698717158,1.2760326986878217,1.1054555437280635,0.9549916476340191,0.9325550516317949,0.8631218139448313,1.0411310326017507,0.8693350738589849,0.8905472009379908,1.1729481404643813,0.6930464918131812,0.5778198339593127,0.5324768353820019,0.6799433959167204,0.6805037496138646,0.8467307141315219,1.1219772689201772,1.2083879867923022,0.854124890507241,0.9911348766279854,1.005377825115569,0.7687741607289167,0.970269723443745,0.9955291251635421,1.2523647223868488,1.025793519252572,2.1512295639573087,3.2598583573262023],[1.5851618485786247,0.778479060698484,0.8254340388298702,0.6099563139129204,0.6734385306378936,0.7346070355211475,0.5811099419212498,0.6232033221131296,0.6096914037814218,0.4765985252961399,0.48911796926239703,0.6562804013512082,0.49568962032879055,0.5651587121151567,0.8285219233750692,0.6975703761259952,0.8359342373661985,1.068151610078652,1.1951493162639095,1.090482555206782,1.277186826316475,1.2659819324699146,1.3546392055796956,1.5279464509881562,1.1513866719197252,1.20187633967399,1.0554791156116912,0.928069632978664,0.8776865758090086,0.7167744377129742,0.9106958648397159,0.6690437759275598,0.761588096174039,0.8087349279336985,0.7508740362800722,0.8660877748819439,0.7235024477172883,0.8433747693319322,0.8363059390381578,0.8054303789854296,1.1231242594451774,1.0318982486259094,0.9999075551777055,1.0611384822160426,1.017599453481263,1.3186661412033027,1.16358466374004,1.3933868606376316,2.291023772541361,1.9467248079688981,1.9306744807405805,2.2468094825525062,1.9163141084106121,1.7719622436955504,1.6211818740370303,1.1747218222422235,1.2291729427043623,1.1858409763393412,1.3013828163000907,1.0371062088446195,1.1590325057346689,1.294633824118216,1.3962671761550518,1.5802016154033585,1.279723857608575,1.0926034637083943,1.430924631599378,1.227595454471087,1.4308215024721942,1.405027575563656,1.669079927110818,2.071952469687138,1.6664051222897007,1.6242595016989458,1.3153859455729688,1.6945508897893056,1.2103284784137955,1.061490520203574,0.9900457065527901,1.0356976971416443,0.8678852411123921,0.8679906129296793,1.2119475224636393,0.8668055601262318,0.771414857058873,0.7503004463305233,0.8218191935192346,0.7911872624185893,0.9506743816561641,0.8976051242835903,1.0356017696642115,1.094080900792501,1.0422995610703785,0.8738094621953719,0.822449711801113,0.8863041394623896,0.8348203471701857,0.660309659253147,0.6570521415115155,1.0775445211045183,0.6559697053466256,0.8065317564876722,0.6050436889512509,0.6800852417658169,0.6910515378143908,0.6029988187753593,0.7824709204075171,0.5934796454681894,0.624564631936015,0.8822795651400416,0.6031272958664237,0.5499263583083929,0.527798332554816,0.6060123597489868,0.6633818398897009,0.6945043537046806,0.8810972595808207,0.8658403835038249,1.0437235028821414,1.1023493278468235,0.9867122376742445,0.8982238994885183,0.7850224684647812,0.5429443235419777,0.5115275746715249,0.5919617668230247,0.5769472256075165,0.5876485979515689,0.5796932147793566,0.5547535226591487,0.5619370131744248,0.5545951489442233,0.5515440884093139,0.6415672489510287,0.5625098112745313,0.5711272169323793,0.9088730855093553,1.0210020353194484,1.5627089679485495,0.7691616557510529,2.3526564654958704,1.5990396437669219,1.019187965998086,0.996562499145376,0.8283772118185917,0.7561701427221406,0.6868787945163761,0.624645696170612,0.5474260354369382,0.5696177577354434,0.6914668880137501,0.8725047662762295,1.1489458042078546,1.8575839488805461,1.5476153786619524,0.9100529508902296,0.6690257951668911,0.7047586632084675,0.5806715639144326,0.6212631814270325,0.5455509751999371,0.6892621690944672,0.6211609414690319,0.6755434067464708,0.7162089593441642,0.7761007912055535,0.6438581694103603,0.7595726502863521,0.7524533044053628,0.8854012011606412,0.6406877452538824,0.623089326669409,0.6055079285749687,0.581880764123384,0.5835414649639624,0.6048090541850887,0.6276417901383665,0.7581488553279286,0.6494207010891072,0.6872479083022547,0.5710547322203283,0.5617238213544629,0.557768991442586,0.5572975554430214,0.5809576059656396,0.729301178021056,0.8508667750182906,1.0062340424539211,1.6452833243754583,1.0677474646887992,1.597767763885585,1.4641092835855347,0.8883944592326858,0.7387626687401654,0.6927818606002657,0.6713560553376937,0.8034012997550307,0.5987265569382508,0.6420774457959103,0.6258061031086538,0.7487528895454121,0.8543400896643152,0.7463950757221312,0.835045616806738,1.0062972212621528,1.0582006014925809,1.092478618327458,1.0500357173181525,1.321320417654435,1.1888365841394175,1.154972275521565,1.3773123237339921,1.5062974801641502,1.4583194951400258,1.341200351138115,1.3029156832740687,1.4388342083295975,1.1500114722120969,1.1018874265843002,1.277476921786882,1.232078345371431,2.1249674753962964,1.54872592961957,2.2291456658077604,1.2908536050689972,1.2267722326286743,1.1418790245800778,1.0929803974680599,1.025490479596255,0.8939921943493091,0.9627789521614866,0.9077628483182351,0.9833702714874659,0.7513612670676558,1.0125864775172515,0.6713100867170685,0.8882140548125068,0.998409340133776,0.710207046709837,0.7728183971264171,0.8586545372181743,0.9778035619623472,1.076494284194586,1.3550095279783205,1.2254432257705252,1.0311934403209706,1.2785807399245148,1.4797104758147068,1.2078994638413538,1.2755336283559175,1.5606488818540192,1.6357231237801628,1.454884077627876,1.5923574132991796,1.7915251089809798,1.7935978191353361,1.6954318143656746,1.741321210913087,1.521997073294099,1.4690471212122387,1.339909970400127,1.3082506247860024,1.3435054220076739,1.208966600491762,1.1121812900753651,1.1311533238769924,1.1166078390372178,0.960466771144777,0.9877655890043963,1.0539723628730988,0.9434570695218293,0.9064789777960182,0.9360395177907258,1.0060047262054712,0.9915096968650874,0.9637675630934041,1.1031706480500436,1.3867312699655165,1.110412649609289,1.0013701414129275,0.9469210076011493,0.922375549314552,1.1335358741555606,0.9806577878693671,1.005874255414372,1.2873511611360458,0.8629315160900518,0.7719568713123652,0.6319147937518289,0.6986891618935838,0.7724837904363977,0.866755399302084,1.0975977940198363,1.2129585682102564,0.8902821213467115,1.023351455246121,1.02189040921031,0.8122868444341602,1.01006401480259,1.0564554998927373,1.3163889439644012,1.2579987619506043,2.4350259415754594,3.2857074490449287],[1.422186505105511,0.5576932941695634,0.6114102471703434,0.38562379280904907,0.4541740679878832,0.4953556773732287,0.3776728381796777,0.40863115764852115,0.36837023209592124,0.32303586883532487,0.36016476065693703,0.5455736335964694,0.39994536810060444,0.41906871079372177,0.5852781313657857,0.545754288476868,0.6998517845662156,0.9229891878384588,1.1169285663465132,1.009795537220673,1.228617426270464,1.2170575377803723,1.3309586203734611,1.6115579140129797,1.138037568769083,1.1682596580214075,1.0052434649439432,0.8602231390197854,0.7705306797533658,0.6020749203164335,0.7518572688608522,0.571029236064532,0.7285124890745144,0.7236764775633351,0.6613115754825881,0.7477519148665939,0.6157417458865996,0.7498336221093143,0.7638743911708046,0.7618369439987233,1.0885413906963264,0.9872631973653049,0.9694389069512284,0.9776059330397894,1.0363471250143643,1.3298780101985714,1.2140463102658527,1.3008816432409516,2.2154448196781984,1.788038626062918,1.7942511037901223,2.1799393531893236,1.815986001162414,1.7530279560789561,1.5071855889117218,1.0920779794233213,1.2622275747514595,1.1377881583135743,1.2135990282134472,1.0000603146180866,1.1323709539909124,1.212479757081692,1.1999479820871404,1.5655196817966066,1.3144744586264145,1.027944608109859,1.3798922913749272,1.1165901893131942,1.3604320530389573,1.2140921136518454,1.5073421732780679,1.9507133292099057,1.4762113687976162,1.537504212953016,1.1634458449864782,1.625598028914723,1.1119405967982008,0.9665094211685918,0.9045542244572412,0.9800917685104457,0.7978472734849101,0.7891947606588785,1.1615039773810252,0.7614087754410824,0.7184907931118685,0.6677506404520799,0.7423603433672128,0.7147531757606785,0.8747589904505544,0.8028568338104111,0.9085609186171222,1.0126797492261672,0.9080376034783019,0.7709503479367009,0.6736966896330068,0.7935670046906885,0.6716130654738783,0.6164993547585887,0.5976739525825735,1.0045907072803155,0.5879221243733225,0.6985797460259261,0.5128395301863493,0.5513635831466381,0.5418198805446297,0.46782104935918856,0.6263867787901625,0.48256356502667985,0.4593816574434628,0.7051981842768449,0.3911665839889096,0.382307655789608,0.35272643958384203,0.47835752394808556,0.5736443494159525,0.6227898452595503,0.8278446837615175,0.9322768497101689,0.9812599819247695,1.0039717680767453,0.9307630028009467,0.8310801734590284,0.7497090672081498,0.48193858073074575,0.3873360649295206,0.5278178424617955,0.37511818880190434,0.45680330370593647,0.41197612432848746,0.4410481175461168,0.4163016421623216,0.4082635453700593,0.4334603083454985,0.5229739441382937,0.4557994882106536,0.46555313513226454,0.7698709286189203,0.855585450582841,1.4221207813185774,0.6952074769851325,2.373087521213708,1.848513984813638,1.04245809797951,1.0142298823460592,0.8192592362457287,0.6885893182070137,0.6287558716326203,0.5131812861430307,0.4279105035473514,0.4474223703531055,0.5728179890671723,0.7851026003176799,1.0415420411034348,1.8004581658107786,1.4702514664116615,0.8140377781594822,0.5712652340198786,0.5935881195838528,0.48085156246845645,0.4993639051236044,0.4855380070571807,0.6038432243794676,0.5733092258976202,0.623992012422617,0.7295113462880474,0.790913151517175,0.6425834376866562,0.8219025182096411,0.8057542109393706,0.8954878531612884,0.6028441358097976,0.6176937877475913,0.5717611210962159,0.5003540632515593,0.4821541906710428,0.4967223109051974,0.5189434476690087,0.6466073859664909,0.5486553291094469,0.5608939131660381,0.49859227867867,0.437753423674796,0.4517579595202074,0.4967540816330266,0.5401490263394706,0.7048738581125658,0.833044789118131,1.0160261604167888,1.806781715879102,1.2330406553421778,1.4361478358677475,1.6024596389563552,0.9178106619379941,0.7265613324106412,0.6877730775508164,0.6113814584613393,0.6669319744321445,0.47559391842231585,0.4466203393246959,0.444451625241073,0.5011454494972907,0.6076606911103302,0.5065027679714368,0.6030914147362805,0.7798334057358566,0.8448002764292383,0.9347149695659509,0.8511316536481717,1.1388294928070197,1.030974143763159,0.9922010446243623,1.2364176520317796,1.3909967855729144,1.303831369121955,1.2255690325761315,1.2075118846979553,1.2927673116686735,1.0040215137869155,0.9171935402618047,1.110740348447071,1.0491111563426097,1.9859860776505223,1.3987484887183357,2.0400862599324237,1.0807729557189278,0.9963446322623895,0.9312698504470293,0.8586510550766077,0.8073244998010424,0.6689704381176726,0.7684710064742742,0.7223686591694677,0.8414595646109309,0.5459039408672884,0.8560708127253187,0.572506005145277,0.7470406162802792,0.902209035763783,0.4893802923959848,0.5607030100731715,0.6504308061247172,0.7725094608882707,0.8602852979491016,1.131707730492599,1.0150249183755078,0.7973519045681507,1.0535363693742752,1.2957376449513296,1.0003807328090235,1.0624425168093141,1.3849014497891663,1.4820836170333571,1.2970319195143605,1.4364752703694377,1.6606593748529392,1.6840588040344688,1.5690643175669379,1.6131325508761618,1.3691264040712339,1.2876257656939767,1.1250735552212652,1.0803360280852783,1.1469742454168212,1.0042469513588472,0.8899183949489031,0.9106566310770835,0.9132616424290535,0.7362758549410653,0.7587370902651874,0.9154836272692528,0.7728931332833638,0.7332724644684612,0.7685330981272339,0.9445685547209407,0.8891323357571324,0.8525998480627379,1.0525543059485736,1.310769847708754,1.0332207181708861,0.8961527937820654,0.7947274620918422,0.7412190664194276,0.9977649423488003,0.875720735490515,0.9849135477025056,1.316516778772266,0.7809540261879268,0.6143003869191767,0.4166365106201798,0.5519780998261951,0.5820782580702165,0.6081171849988412,0.8768774231160938,1.0393876728289315,0.6538075748014655,0.828459279869938,0.8160178818212421,0.6082277972832887,0.9063350106417928,0.9304010949503084,1.0604712924195612,0.9952260715379218,1.9583711512538782,2.9345313878182515],[1.2936338193236414,0.5306155609097353,0.5958738784941795,0.3490555451899195,0.4065001604647085,0.4166588823815844,0.33957187390937515,0.3408921046753768,0.3140126206994354,0.2982532566810586,0.3252944127726303,0.49091807424693545,0.373968995688511,0.40813628474115493,0.5363757160746055,0.5188597296868056,0.6692891548749924,0.8698278634510499,1.0699812479766138,0.9740784498984186,1.165952917439903,1.18694410955743,1.264181055798229,1.548318047392588,1.111177332038618,1.1412518474918878,0.9964969731045041,0.8572080270673433,0.7464342791018062,0.5792700371242379,0.6928042468372029,0.5630523981159896,0.699354676666499,0.6917235476870677,0.6321641969289792,0.7104143876781575,0.611494927450188,0.751891021208406,0.7785987399499958,0.7776031537658646,1.0968305194501058,0.9745559448035663,0.958487590843482,0.9551954846347899,1.0557644607805179,1.3525284999461342,1.257827436960491,1.2774609870537526,2.196832253071797,1.7631414939172525,1.7485674070423234,2.1642802328500568,1.8012812957988598,1.6884960754733658,1.4630980863994996,1.0792606364114494,1.2751456490869675,1.0864768988669804,1.1997233967177772,0.9893724921544512,1.116649111112659,1.1408085668664645,1.1108470810420161,1.4670964386480996,1.283152404079913,0.9753151442669014,1.3106100692954408,1.041533175741323,1.2812438242904387,1.1114105646587418,1.427322846109053,1.768209494432576,1.3167220935208281,1.4054211943361552,1.0487407091348822,1.5177920280380313,1.0212029210447646,0.8813279355170075,0.842372424641076,0.9346659953425231,0.7772973001047258,0.7944321481667335,1.1673836590253424,0.7524729633976138,0.7442447015261833,0.6799298616923716,0.7470075744371021,0.7048273181715018,0.8350290919758282,0.7476795597266931,0.8289647787254569,0.9380829769567364,0.8600219915470861,0.7449567361912843,0.6502045971264804,0.8066584828254744,0.6974820866346074,0.6198812863700367,0.572318771651194,0.9062087496983329,0.5511906504846881,0.6137304861449383,0.48649098955693654,0.47630500547538257,0.4742432207513849,0.41584948275206995,0.538468009270758,0.5517367790602605,0.49190415470057636,0.6744423986636118,0.33757437277892627,0.3688656837200619,0.3405096860882256,0.49461425652372315,0.5857655529851427,0.6356664931209133,0.8337177533451764,0.9299755748222589,0.9732267430431324,0.9780150510349561,0.9281917180537284,0.8335148019567136,0.7702960803610132,0.4963779202111004,0.40656388440371616,0.5686360527536153,0.33997053681722456,0.48736141456700377,0.4495551246938598,0.5069919015523903,0.4532727945818099,0.4464039958669922,0.46146058675422613,0.5309793672680884,0.4692791964540164,0.4654552506862138,0.710273991813078,0.8153624613268404,1.359337655362158,0.7034460200532582,2.3932436490100417,1.954277595329695,1.0570615881307401,1.0423254494374732,0.8501107972539429,0.6994143328010293,0.6408298863589572,0.5026120019963678,0.4184960671761601,0.4093171854795428,0.4976130831689424,0.7167404471630305,0.9096601575207184,1.6934196875419663,1.404371641524043,0.718777170732,0.5117712637287455,0.5140682366846128,0.4358458996845325,0.4276546280029399,0.49342924674594746,0.5999740663678604,0.5996165807855272,0.6508993486169556,0.7704065146765394,0.8293959611587367,0.6843143670211493,0.8840223778671843,0.8536248225575904,0.9229361699631023,0.6264482817325292,0.6549029188481272,0.6015094750848095,0.5273628257299224,0.4962982175244406,0.48927845994846597,0.5257801975250772,0.6216534423706331,0.5712411851656035,0.5640836209244546,0.5319976848309107,0.4228304325001686,0.47303147674930635,0.5436869569723691,0.5861101010101807,0.7546184965460696,0.8684772785895566,1.0434773853477988,1.868757231439005,1.3266781524677536,1.3735357187124053,1.6925275458487843,0.9594820023434519,0.7659598708466833,0.744875331190839,0.679843862997739,0.6733340242222345,0.5397327741284652,0.44981615966132377,0.4579375882894936,0.38092804311603673,0.4584725555419322,0.39605035788078724,0.4679738916950873,0.6005443009728187,0.6826115081029173,0.8098788678722273,0.6896128721672818,0.9460036883324763,0.8836472952217425,0.8460733571095829,1.0561035011940831,1.2288557104023394,1.1688409493648468,1.090663147633751,1.087832759236537,1.1142164789991196,0.865239362793334,0.7589423611883267,0.9214022737457888,0.8567674140239803,1.822866131800159,1.1958893756344768,1.8450607876762135,0.8804578565729836,0.7832224554192928,0.755167259739139,0.6915558850797968,0.6213885052432503,0.5088509313065503,0.6476696587988687,0.6406597265965511,0.7758081459746027,0.4773155759816697,0.8536562798725753,0.5951956734532408,0.7230313294730119,0.9483502930145181,0.44164828944007023,0.5423894423082366,0.5820262103784634,0.641952187033981,0.7279675491540739,0.9401063542762322,0.8534398574803741,0.6396387838701935,0.8398222987550719,1.0952433372896138,0.8245612053423351,0.8662048202400465,1.1583005574266874,1.2667640802254267,1.0991720975619796,1.2095133906439428,1.4238597731345308,1.4893474863774778,1.3537783745844365,1.3749681171803572,1.1459492978343533,1.051654549325392,0.900048760929522,0.8509775199766221,0.9118570699205891,0.8025821397662273,0.688931974301169,0.7047981267369077,0.7311211331602017,0.5758500802315775,0.5918384228673162,0.8271144050424333,0.6874863218180614,0.6434095075352944,0.6867352219600512,0.9485581651575387,0.8707818745256167,0.8654365161810835,1.1062250484985945,1.3706984340996584,0.9893868053354291,0.854904581025181,0.710458041714935,0.6584320265849166,0.9524370429202276,0.8721209442118688,1.0174026826108105,1.3912349430573352,0.8644112768167319,0.6297016874335862,0.4084032211195586,0.4806259334597938,0.517613418713733,0.468687318790536,0.7138722792050398,0.9448981292861912,0.5379772184232071,0.7161593484533728,0.6923885198282418,0.530553023268137,0.846313831467724,0.9160657769115119,1.0542041169780823,1.0749394424573886,1.9936606307796005,2.7941742192166217],[1.1470005118676236,0.5785956418703686,0.7113752352069579,0.4157146677491752,0.5040866858078332,0.4167735703035207,0.4638724547759524,0.47999555606049343,0.4468872947550524,0.518527584990975,0.5684490423207679,0.6757877477860982,0.6342578191645543,0.6357032304222311,0.7845163816195849,0.7684251511854647,0.8708869658332034,1.0177751608351324,1.2217688304583318,1.159349375328274,1.346591015968141,1.3555048031673038,1.4688790792726178,1.8117209355097577,1.3679366029244482,1.3555068271472814,1.2244741398444328,1.0631434124782166,0.9450860725528228,0.843083446687628,0.9132067788493454,0.8091038764710716,0.974683273810369,0.9469216661155595,0.8743666738661101,0.9221032479411497,0.8484569357851901,0.9908812200331812,1.0308538811180405,1.0565901082999911,1.32320495132778,1.2059545807325078,1.2094477800912262,1.1945812621281588,1.3928489491143061,1.6628906922147808,1.6406541240610757,1.4858399047184199,2.2955995119245016,1.8294342865557995,1.821764002856914,2.3038524592100993,1.880945985860466,1.9092853262088896,1.5183560383846817,1.244342148061356,1.5485052634723537,1.2802364538082376,1.2545456802280268,1.2910819676766738,1.4053285503889026,1.3822509642582121,1.2453681029255221,1.636702051571624,1.5251234062287777,1.1996549834399932,1.4391905076368852,1.1723509295749834,1.3546690276597824,1.177828688861388,1.3883203957755426,1.5768314760750204,1.2897280562093294,1.4704744712570226,1.1384337345735782,1.5577070128106143,1.175116540214079,1.0885952209879453,1.0580039646393238,1.1385158519353846,0.9886066917244832,1.0104924613053519,1.340726502113232,0.9753952519340846,1.0076395902424782,0.9294178897681685,0.9928561667188733,0.9584963185133263,1.0608052552984697,0.988339828722347,1.0372804310083945,1.1602229043926457,1.129273172728343,1.0107752529948892,0.9003318110968384,1.067878074391496,0.9808264729128883,0.8827189820325829,0.7975157137220288,1.0382167338530783,0.7609852745675375,0.7381954614074727,0.7392994021933861,0.6585943696428044,0.6811032871653991,0.6152142365112749,0.6589207160094105,0.8513905650166596,0.7472279722321286,0.790738099016746,0.503420394502274,0.6014636676313718,0.5485581155756158,0.7286276622430915,0.7991816568153735,0.8583253286346079,1.0198615070780546,1.322418694368384,1.2077505649451123,1.1267574120030897,1.1088253948574605,0.958459063866084,0.986164466915272,0.7074762113010509,0.6118024733613162,0.7932062559427312,0.5145378736474363,0.7366665129615982,0.7391106143707903,0.8278889577630708,0.7894357829862202,0.7750618461860318,0.8050727925693661,0.8153913280236952,0.8022494507222689,0.779040272854741,0.8234831074841885,0.9513936870071372,1.2968043577706891,0.9118961366190089,2.419897353544601,2.191245442415028,1.3081584358298899,1.2456575829574519,1.1326966576349697,0.940024807022425,0.8944278761770453,0.7461088127155145,0.6501051346214543,0.5796346932077916,0.603572981407562,0.8064358163760869,0.9447406531223286,1.6598958080422788,1.4663105688996523,0.8411433257602478,0.6987612866110242,0.6619729640616576,0.6489394279501082,0.6195341307760095,0.7611303939181577,0.8474054582961635,0.8936254293032693,0.9458340379981456,1.1267893582741981,1.1639247123877168,1.041094038778275,1.257583633900785,1.1669253599412466,1.1860143093959965,0.9264549804642674,0.9709919051553045,0.9122285101032808,0.8257483278029267,0.7954516832433881,0.7555172407866892,0.8034770934191848,0.8805189687498332,0.8528820841909477,0.8441343317363866,0.8538446356247027,0.6939260777486376,0.7773593034162773,0.890330425454104,0.9357826441728296,1.0574539902010824,1.1319890440529294,1.3221723721549126,2.1328722679826484,1.6923826006302571,1.410677634458569,2.0716509453864296,1.2514815872887088,1.0676898962302237,1.0775707660527216,1.0468004292309012,0.940181885627965,0.8866009123633417,0.7388263793695456,0.7395948624010208,0.5261760747004264,0.49306057221594524,0.4950748515841787,0.485859618019766,0.49714129385750705,0.5664964031783727,0.715067663327987,0.5600209623951763,0.7625161838827391,0.7452434191631797,0.7167805226794122,0.8816018256634182,1.0758867999212651,1.0357974625740272,0.9792297119930656,0.9854935893605489,0.9490250800694285,0.7851079515902267,0.6566404499088752,0.7474241729095399,0.71209141333697,1.640333309603122,1.0456362557258971,1.6600831932873124,0.7510027875746855,0.6973072542459909,0.7281787052784184,0.7173991436642456,0.619328061505016,0.5712933946157117,0.7058524319581823,0.7832026963359066,0.8782789786545541,0.6926727939453269,1.056867248143824,0.852499750561825,0.9077583176115286,1.2188935364432723,0.6785315594044434,0.7854791698528905,0.7707527038817494,0.6814360132064344,0.7750851482310628,0.8494745060915913,0.8572707471528441,0.6531884880816423,0.7163294755718239,0.9904193068899296,0.7462031779770302,0.7185751900590122,0.983020376908243,1.115574211090096,0.9208515094197967,1.002150319057605,1.230049882435989,1.3205057395405648,1.1528317223241373,1.1541788081041306,0.9294628182775727,0.8283167992552164,0.7108011447352516,0.6739539286190224,0.6961775732252281,0.6301125138603206,0.5794575166382061,0.5694832998839193,0.6139685136170702,0.5498078823612522,0.584250992036932,0.8484452498925205,0.7616394605388009,0.7263663198961806,0.8250248223362131,1.1119057007360242,1.0177730305861596,1.0226656759067976,1.3308475013384997,1.5554431307327192,1.0391548268651156,0.9054971463009943,0.711949879203365,0.6452141477182579,0.9596770101270085,0.9880678167173924,1.2113660584708459,1.6265794975593475,1.1675320315554758,0.8012180254786817,0.6605750089647268,0.5683127298950778,0.5512756900292934,0.4677974322089787,0.6204835372935598,0.929308320071429,0.5118821306065755,0.651902353707747,0.641744927836954,0.5181237672166159,0.792574060379151,0.8874383378186345,1.0059458581776253,1.1555667721115574,2.0161550328801106,2.720464956045183],[1.2383196804815468,0.5832947429985537,0.6101780505474564,0.3614720219793949,0.43732822300855523,0.4057218300911842,0.35790090684006315,0.36423899303233315,0.3306365392992086,0.35978275656861497,0.3773983807294503,0.5067117413115957,0.40399735253205576,0.4372242450738914,0.5434521891527508,0.5251690292192055,0.6486562974867451,0.8246864690184756,1.0270822954236802,0.9425278638559893,1.1503664323483636,1.171281327643014,1.2914016888336675,1.6073000378355005,1.1232461217035634,1.1307595368845202,0.9791142167189998,0.8320440250289272,0.7126932822545723,0.5724504870535481,0.6984045599852401,0.5657908025014737,0.7156899272343675,0.7048594108017823,0.6305588929826306,0.6992269812021826,0.6029215704324281,0.7376366192230401,0.7671847359526188,0.7721636865957615,1.0998112827983262,0.9689570707903677,0.9659184432293544,0.9235243787461996,1.1171978948003707,1.406233407022165,1.3766487376392822,1.248384817468984,2.128900190868232,1.6970016765621951,1.6762337640753393,2.1627624920698976,1.786687793104092,1.622596540098362,1.395019078713041,1.0608148059777422,1.3213833532709016,1.0497436096427868,1.164962322221555,1.0608664082159776,1.156492791102426,1.1884188655374484,1.0931474720959238,1.5068979160997629,1.3305124488720665,0.9884988806780178,1.3053605310155691,1.009649618328848,1.2382571234801183,1.059798549450091,1.3361775083403207,1.6293140772755106,1.2621782262760712,1.4103413108362268,1.028362265564008,1.5241076991415163,1.0200336560895038,0.8966490324035366,0.8462487464439874,0.9269973220877227,0.7686898164338221,0.7896960539713268,1.1662328273310927,0.71328699295325,0.7353285882010142,0.6661740860747453,0.7430261593483943,0.695135067137349,0.8338357561916776,0.7534724853752834,0.837057280937999,0.975763532479654,0.8909717495558773,0.7679689783304822,0.6569557834456988,0.8146533294888982,0.6979684557079221,0.6226709428050727,0.5775513371470279,0.8969033470226638,0.5442767764357223,0.6139260875081439,0.4690876456836366,0.4734072115869564,0.4827685872916079,0.41269686224427043,0.5108372450880797,0.5907567006288726,0.5254496978300267,0.6594133686926273,0.36692521772502495,0.3915290690172101,0.3816121533439933,0.5248698314420761,0.6001805221557207,0.64027251095228,0.8101668068788014,0.9395020425006213,0.9767624139845329,0.936306196056363,0.9088606136121776,0.7834473007843842,0.7622910126794677,0.51505849166454,0.4608035661938232,0.5931339496995361,0.37266296535509397,0.5105875396046939,0.4603249864678293,0.5221777871073556,0.5195685688575769,0.5031331670198745,0.4929754573854412,0.5414624217997369,0.5008212346625319,0.49799393419208693,0.7260531672125666,0.799118045724591,1.323503404124588,0.7141934204089712,2.2985169340303457,2.1618777617036113,1.1139131073247974,1.0408583329234775,0.8656478490409047,0.691235792107943,0.6436020355856735,0.49973507665426703,0.4123422196628119,0.42075274977389077,0.48771416448842375,0.710470623836523,0.9329582347170353,1.7504862638102776,1.4063907817606716,0.7100931994296854,0.5090976010621735,0.509467174790153,0.4337261104894391,0.4289444754365211,0.4992888378837635,0.5980300659693385,0.6044231772355018,0.6425824986205296,0.7961462366721399,0.8510323165474031,0.7137908987295871,0.9181672494395998,0.9161221929601933,0.9282072590720059,0.6351337146868219,0.6680433763881788,0.6255261279308273,0.5324961668490822,0.4937816284759899,0.5006224571736639,0.5329902836152907,0.6324530248188129,0.5594843272267078,0.5523024404573902,0.5388564122694793,0.4205760655198763,0.4684218717425603,0.5722620099093659,0.6158356669829447,0.7820632088803317,0.8819220424131662,1.0674228403109502,1.9286479823658254,1.4203878399993526,1.332455046857766,1.7191647226753328,0.9707679615453443,0.7856931121881257,0.7794076709308906,0.7492870723743577,0.7117992572103877,0.60694500623335,0.5313911253380869,0.5078583979044028,0.4246954498341821,0.4705781808645675,0.42221552161635906,0.5094606456983837,0.6155698668636298,0.6852079706747197,0.8560021394300639,0.7470748689558633,0.9691942159914717,0.9238010478064327,0.8993743243940234,1.1139623598620765,1.280593897497061,1.1812100396410063,1.1684193409417192,1.1781685250535776,1.153505183926836,0.9672904636563784,0.842008917979306,0.9851552888409556,0.9452624515200206,1.760444979608496,1.2782526980580302,1.8529197164784201,0.9294373480741583,0.8224857419981877,0.7779893938166698,0.6817570290206711,0.6962028263244111,0.5787721925291479,0.6547405946788127,0.7035223155446496,0.8660331797952048,0.554121788366003,0.8136812304988784,0.7737436967252028,0.8406758019765083,1.0403160484140732,0.5404696592866564,0.5545908347243359,0.5498022181061738,0.6094985041068088,0.683467201218315,0.9278805506540861,0.816182109723153,0.6098621765827681,0.8315834351434161,1.0391435556779323,0.8027684603241582,0.8499369567313405,1.14344773307145,1.2574033710743187,1.1018252388448322,1.22687889436606,1.4433451883397015,1.5163041570455567,1.3954646999937201,1.421507711323218,1.1905081022914463,1.0832745376009039,0.9120109053246792,0.8708808357465934,0.9560191469092378,0.8401206424486918,0.7155758380210578,0.7616195054292109,0.7978145368611486,0.6426554465390535,0.6769237845172912,0.9202112132556204,0.773016885860526,0.7765956771592095,0.8008638106483802,1.0498240193214066,0.9616761772526079,0.9399357334654915,1.1601204252957715,1.3655557473614497,1.1001102633918936,0.9399993378952406,0.7915163087499714,0.7072275268373772,0.982514547077114,0.9467830570132415,1.1214707617584665,1.481090379485682,0.9190927056053648,0.6579161888079881,0.4806338373618356,0.5531515933017922,0.5551102063338857,0.455466140922768,0.7016632986003429,0.9337586393422432,0.519178927599331,0.7278559378362154,0.7055954800889408,0.5305586320718032,0.8485085089157808,0.8779675622009017,0.8222451273750099,0.8929446538853026,1.6047692742033088,2.512899566618889],[1.0295856058091504,0.7023299026763461,0.7961430286545691,0.4715650571614758,0.4965813336402738,0.3932614818286494,0.37813158261248386,0.3730290345265127,0.36597437898378515,0.3941505851816932,0.3904340435675617,0.48635426783768665,0.4335342906738266,0.4415199140777277,0.5834051974181751,0.5231176937606379,0.622244512272181,0.7479540437479338,0.9188398094201062,0.8807348563177185,1.043845280844386,1.0919449229065858,1.218122016906543,1.561719580042637,1.0716675304355052,1.0591601977111884,0.9528436150297053,0.8000114856116965,0.6779969136731788,0.5669787626834579,0.6636738988412415,0.5603110709895608,0.7037155334026514,0.6924690522291959,0.6088819190413444,0.6595091997690091,0.5984420046995567,0.7472661916745891,0.7826657167087192,0.8124432074510642,1.1153833445879828,0.951369240606631,0.9615496529051849,0.9294851185405668,1.2084504826627593,1.500474238288794,1.5540477085949562,1.2457541518801396,2.057044691614791,1.6614022154893409,1.6055628831235438,2.1750224952885038,1.7746865776594571,1.5254908082973202,1.322002535353557,1.1043191778758727,1.4173863896512588,1.0150181944183638,1.1806814135209207,1.1711825284688615,1.1978822203092319,1.1485624319313037,0.9712427124449681,1.3904771732638668,1.3136263123362655,0.9370397468853294,1.1880724510716214,0.9142674205388581,1.100359806790963,0.9539712138874109,1.1448781159872838,1.3523456017877542,1.0865182201358157,1.286203136669516,0.9076093274784878,1.3967040160520945,0.9288419686300841,0.8353444917846614,0.8011871556651728,0.8721523899559771,0.7425332338765835,0.782379996540961,1.152383659994173,0.7150467647687491,0.7911365321903252,0.6753096564214274,0.7427151611260652,0.6991697506077026,0.7916197578979884,0.7226019216670146,0.7723850601065883,0.9654798982343389,0.9116886113996138,0.7828934191630716,0.6752583952628973,0.8628422007724931,0.7763161592529031,0.6450248379751039,0.5702294988371662,0.8241308398648647,0.5340451085927318,0.5711601999070899,0.4876137168978704,0.4807606771002637,0.49715722063588036,0.4816506365343958,0.5619019401097267,0.7673265723927192,0.6891398666634526,0.6538328967913674,0.4035438630836716,0.4353325145629091,0.39974224103572087,0.5599970428420015,0.6196929596563179,0.6529364276994362,0.7848037186173188,0.930366598857985,0.9206298784094215,0.8627982173533795,0.8664019952746574,0.7126455367944982,0.739673524691987,0.5433024727528345,0.5149311174296467,0.6971028158055479,0.43254115036245366,0.5888078898228576,0.5862214829669407,0.6877470262071456,0.7290267705882255,0.6986242165785344,0.6926405134992099,0.6845228928015328,0.6708748820266012,0.666935680910065,0.710276989470587,0.8564197728015726,1.197081593050755,0.7596972421909554,2.1919228408837967,2.391967025181354,1.1770006628907514,1.0673341194173052,0.9035138294561283,0.7105514807982494,0.6706949014837994,0.5434004072995757,0.4468518387007044,0.43497902245801245,0.46861604662254985,0.661048321379783,0.8185526287606416,1.6019338307606734,1.3240503378494817,0.6305702288808352,0.497254915522296,0.48659052038468537,0.46147387018932695,0.4404094205044772,0.5679907512193396,0.6239411166552957,0.6662719103706071,0.6997409822507786,0.8795575936528492,0.9521521448957904,0.8391518827476437,1.088200146606333,1.0604423266179932,1.0178718521238095,0.7585347498145083,0.7742376194726421,0.7156587163433897,0.6353157818560107,0.5656167619005221,0.5491928913630402,0.5790116582432225,0.6337839747372805,0.6144446681159494,0.5826827512371467,0.6301617452493784,0.5201205932972444,0.6158977448385305,0.7271530204268514,0.7548860703595701,0.8826582794655309,0.9434205400316942,1.1763681025132162,2.047371952924076,1.6035601165309026,1.362293003343263,1.860041221473829,1.1507240512027272,0.9803519163163611,1.0047764404276038,1.0245756213036472,0.9214996168416131,0.8612357910916292,0.7616770471267179,0.7438847375496095,0.5357676240433558,0.44763174898913133,0.47550966891003166,0.5377876927738964,0.520341074533931,0.5622998681339126,0.7581725186652459,0.6430022306605091,0.7575169117846116,0.7786385446377531,0.7828731424582898,0.9227437224535904,1.0779610709696061,1.0258936398164724,1.0379740660447876,1.0692518906728576,0.9818154571155486,0.9120798056910986,0.756872960449742,0.8251113963538804,0.8484920641130269,1.567480449840269,1.171265881615828,1.6294876502144249,0.7773321335594333,0.685835684633756,0.7206620182545725,0.6533439500723986,0.6833187517002497,0.622547407000835,0.7161608297718961,0.8712233515734817,1.0015768900809996,0.7635736456913926,0.9818621141965945,1.0254154819251813,0.9988363387579103,1.2308173443051498,0.7525720642342897,0.732116030793939,0.689982792336522,0.6620444225926865,0.6943599317744595,0.7226794322716028,0.7119117654978283,0.5574920217026904,0.620332729185984,0.8252013202968304,0.6481020367539884,0.6375030119704508,0.8736846657986554,1.0157124289085702,0.8595237130031425,0.9528082534937249,1.1649966220284522,1.268150796092579,1.1223602298558855,1.1282966365156073,0.9284766514379494,0.8168959337218521,0.6883173819985846,0.6488184329424617,0.7258352057492591,0.6614026770672284,0.6071154133642089,0.659951355409239,0.7214173069980242,0.6651591606996647,0.7130493926434109,1.0314124506002234,0.8808778829521036,0.8879838917213126,0.9572043866118789,1.2183972574103596,1.1206923727337057,1.1121922852238153,1.3825471263929876,1.5420748458345657,1.1424193489149812,1.0096487829793102,0.811531186961981,0.7104517833562646,0.9973703979875813,1.1001062237114383,1.3551357348250939,1.7327757860962785,1.214901864470806,0.8140230600310632,0.6837112555558159,0.5616107025570476,0.5590474566524622,0.3886136020894615,0.5326102299153167,0.8575894261642396,0.4264262803079437,0.6115633733357195,0.5608968142810948,0.44559202951075805,0.7616915710814385,0.7804161187999491,0.6595757193602483,0.9558252474145752,1.5409614382025993,2.185739275020678],[1.1740969078863652,0.6890068258517607,0.7001968175387246,0.3846837902752462,0.4094844687154316,0.3804209215311903,0.3083507041552614,0.3388857315724859,0.3171264480215384,0.32865618980100103,0.354794662328246,0.46383603620004815,0.36418332386548513,0.3995370918523638,0.510174412653051,0.4710454271292894,0.5834900339332655,0.7341622421747401,0.9222099779037352,0.8513613608952254,1.040588441673389,1.086577904716236,1.2030616398256955,1.5077898232259415,1.0318707992425997,1.0348747636554976,0.889677106691945,0.754953182316715,0.6296985892032603,0.49367726246332744,0.6192959958208535,0.5016535782040875,0.6294406247388195,0.6258374484327995,0.5375046764462863,0.6108227390897586,0.525289248677282,0.6664936131863547,0.6891070431297536,0.697141853873596,1.031483938578231,0.8867474927582591,0.883228224757564,0.8316300539155062,1.0753702532607101,1.373787097178772,1.3754452526821357,1.1653574561208533,2.040180271658419,1.6755261892585123,1.6005377938764598,2.135565561980598,1.774305414296592,1.4407832077004998,1.3098726330458124,1.0443511445207392,1.3095233280483463,0.9361353935542871,1.1517136303272477,1.0466121191044209,1.106622024663612,1.0963346715744353,1.0014877843176313,1.3991690507981394,1.2753078913223652,0.9004302762476964,1.2254235023565079,0.9190056540043533,1.1428041282100048,0.9802388685810762,1.2528729782236687,1.517147513847371,1.1812681102755214,1.3332898514887856,0.944413085647548,1.4458277244409137,0.9213972630338367,0.8047546221555959,0.753206863053395,0.8279789450737967,0.6688752367563725,0.7148702914703617,1.0834773567831808,0.6058615958856824,0.6696174810225939,0.5731878148795727,0.6636208191912144,0.6426364875416972,0.7377635835375022,0.6727341021187628,0.7442881537512872,0.9110852387057196,0.8349763453086639,0.69854562164304,0.5977118728549127,0.7714892511608361,0.6595722369272633,0.5586077663179915,0.5214672722600042,0.8319139356386592,0.5017593636427333,0.5917735502379162,0.4105970008469882,0.42333032903407597,0.421691954081511,0.3853042066702137,0.49745982280978607,0.5651522914578538,0.5101658164786882,0.6332970424823576,0.32035238730715554,0.34517562665842866,0.32206068875312055,0.45818346544618194,0.5452015094722837,0.5874088224723081,0.7455806249882091,0.8191026369613662,0.9046487099666181,0.8431139608259314,0.8379886824402184,0.7042620528049653,0.6816725858120889,0.46393790797641,0.437911454866872,0.6078782481062998,0.3308957433983494,0.4556000271136086,0.3878220310002269,0.4648093061462652,0.4966849245851731,0.4816516261726598,0.4615634225527654,0.49145083288365565,0.46551142714269106,0.47626725465469566,0.7127138376986306,0.8201160089521496,1.3139122937768033,0.691723167564064,2.1898868651077223,2.3753910796603326,1.1246951603039992,0.9840939118772812,0.8115513212579789,0.6328411898350034,0.5851852399398461,0.45401870746273815,0.34672116892857396,0.38388400380376053,0.4639159969405595,0.6575058836392638,0.8898899270533496,1.7277751418708804,1.3419654310545701,0.6572627807306088,0.463368509523297,0.45648407366071414,0.36504435679103997,0.35764135910954725,0.45742774905164574,0.5202346507993,0.5654554410273421,0.5894555502968587,0.7266215328722985,0.8200919121548549,0.6849665395537057,0.9123420253645457,0.9590048101239499,0.9083380023343222,0.6354144413805229,0.6111352358041957,0.571184353231705,0.48999826664537405,0.4391081678984832,0.4355619474369091,0.46969684815153007,0.5473426747395698,0.4897311027956899,0.4492256125089478,0.48669023110006787,0.37839676774493947,0.4391406747713763,0.5344952025693802,0.5807955598003416,0.764172193490568,0.8440326805152749,1.0441120727300608,1.9527422846167906,1.450133618345899,1.3764070523333092,1.6248451788030398,0.985654448916693,0.8044783439768588,0.801438290377794,0.784720592594323,0.7133845333011034,0.6012355081670029,0.5362468731552636,0.5038208141555581,0.45261990699030313,0.47722387953225137,0.4240249565163844,0.5478783774283474,0.6537135342999294,0.7023388467457048,0.8737293112593529,0.788068479821445,0.9921901557464314,0.9587640578272522,0.9495750236004329,1.1633516902578782,1.3111745620994348,1.1906686420763848,1.234392504709425,1.2601850670082526,1.2085181728117012,1.0620399761879082,0.9104135384908847,1.061188204526373,1.0598258080798875,1.7355856124865952,1.3953675226658022,1.8462622539035263,0.9631503593836588,0.8305268179032792,0.7705395762585456,0.6701352143316822,0.7705427831642282,0.6311803175413931,0.657277033919925,0.769171477645077,0.9570646328415402,0.6216638472480277,0.8003472179400337,0.9227994167212675,0.9089140562259056,1.052640254439452,0.596285519860682,0.5300269730226528,0.5260264432002707,0.5978295619965869,0.6729283093546458,0.903876541211928,0.7904155203821457,0.5885318993024535,0.819930484582748,1.011405032953222,0.7842977850703873,0.8258388161880221,1.1085383898045376,1.2225863199216407,1.0891567681977203,1.2235078795428673,1.4332733706243765,1.510068383527083,1.4067837705472488,1.440935834195987,1.2262382837564363,1.1120143002511669,0.9241194564922497,0.8946741970139551,1.0156712159364303,0.8865602615422375,0.764897681058545,0.8343347462149029,0.8782784828035117,0.7144716416535192,0.7691208484829674,1.0582031247567496,0.8650419772339317,0.8799676970389504,0.9110871761684981,1.14985830283865,1.0501164374863063,1.009494378001467,1.1711819128267487,1.3283726079458558,1.1873466495107647,0.9922905878415874,0.8409038714027596,0.7514239062187533,0.9784008138384594,0.9810395754897254,1.1818341787423448,1.527825563757429,0.9252547593062599,0.6373164624188477,0.48194742522912815,0.6109206488638397,0.5632296984011275,0.4237266965410122,0.6870312187068537,0.8684088322865566,0.48903075645886623,0.7473127982800178,0.741269677606622,0.5001847392169285,0.8361643522568698,0.8800650412893463,0.6178707713206475,0.8627651054808388,1.4160313572158387,2.1810638878628024],[0.9321539554285759,0.7655066963635716,0.847033349572914,0.5021229802018489,0.4821305600205492,0.39148133131887286,0.37923952556195206,0.3889094815330789,0.4002685288738487,0.4111053709815132,0.4340665874858794,0.4887188504686586,0.4403794397117845,0.4606691025798119,0.6093082353700342,0.5213768124561802,0.5361494953297637,0.590474182927753,0.7227887631970924,0.6974019282993394,0.8132800908486454,0.8831166093097861,1.0051568494386312,1.2555604040420931,0.8962798576287933,0.8626145753379696,0.761935177640317,0.6217175714577738,0.5464107174687995,0.5021529455251241,0.5954246803001951,0.5306518538930067,0.6549392572964313,0.6057731938575142,0.5353988808652913,0.5529162556194271,0.5319768180405389,0.6008857995639739,0.6195679068467346,0.6506823409508775,0.9582607370706632,0.7789319605959883,0.7763210944987677,0.7786893466429639,1.1432956806379002,1.4056319591948134,1.5267140261121004,1.0708932314494903,1.862148423709045,1.575654936491773,1.4448351002502005,2.0788828428808883,1.7277271454461118,1.2993741338369875,1.2480724414773363,1.0907705794749512,1.3710622321833883,0.868385479920819,1.1769894865991959,1.1348823593567674,1.105450233450912,0.962462624730554,0.915270407109226,1.1621948903920396,1.1019501537893723,0.780966006604796,0.982317075733576,0.7443728476817928,0.9316175348188755,0.8212085658899752,1.016905309717829,1.1859660636619689,0.9404003887892547,1.114200339841351,0.7460412788260272,1.2766820813600077,0.7429316235704957,0.7070554665889042,0.653788100200324,0.6860268107018848,0.6093066299050567,0.6540995256338723,1.0063840119249285,0.5733929682597999,0.6524004947218482,0.5454285584511854,0.5951679881633959,0.6126538127134128,0.6231761255067874,0.608151133282686,0.6455212321334161,0.8822236605039895,0.8565714582354851,0.7130773441850691,0.6328378349617284,0.8025781467755971,0.7367067005666925,0.6224203225939089,0.5765779839913695,0.8370310448532667,0.5510156141703701,0.6119753685753424,0.4757808073037466,0.4884852324188049,0.49403838488959184,0.4717122670414338,0.5520406439775962,0.7113896078882463,0.6623219876655888,0.6700420923396239,0.4128509397455543,0.4223470698518045,0.3955040048125591,0.4735411370893592,0.5071453656742947,0.53275764567257,0.618489122862045,0.74413501362241,0.7923823526513046,0.6619916537075584,0.680084879310227,0.5889610514110034,0.5921731328244756,0.45561651920890844,0.461768979388829,0.6306881938783242,0.4130115317811147,0.5157431136097277,0.5047291913838933,0.5643512743397967,0.6655143643226846,0.6494957329854237,0.5900041712445678,0.5628383852964244,0.5583182906267377,0.5565540507839002,0.7431512860181482,0.8345625163888012,1.1968022019386277,0.6622589299374315,1.8875876415068271,2.3871334916311717,1.040069472593175,0.848295046423677,0.7143057203958192,0.5676300113925069,0.5409540311614511,0.4657225701042557,0.3948592047260856,0.4478206792298127,0.5075785068923635,0.669137906246382,0.827407896228338,1.6096867063000022,1.334231386451141,0.6433680316394434,0.4973079490800347,0.4930844931598511,0.4446109907883797,0.43134778867053053,0.48588814212059583,0.5191251571628801,0.5605473941308672,0.5883104387708717,0.7194899835751337,0.7923430970561396,0.705561248869159,0.9502011593629881,1.0248130151401507,0.9179662647720451,0.6685270108007242,0.6224682000852669,0.5900712871319893,0.5272260365194436,0.47705776652521625,0.5148970630597344,0.5433512620490298,0.5986728671022072,0.5145994202610648,0.4885249418320295,0.5302877103980866,0.4451712269922695,0.5059454354734173,0.6024189522804357,0.6275143869186458,0.7958241310650802,0.8516491208283381,1.091334332630822,1.9880294859666798,1.513061585338015,1.3611606754842729,1.673081729236185,1.0431507031538625,0.8862134163972533,0.9067617220657619,0.9612502953772875,0.866918747024894,0.7930131267786986,0.7269289412816281,0.7017107363844778,0.5448315994477881,0.4486795174864097,0.46789281063012084,0.548213697856386,0.532496554981322,0.5624561423782783,0.7828044582110149,0.6557798167489771,0.7475264515957646,0.7626084394473969,0.7557223534598768,0.8933180422727194,1.0311130989580162,0.9621256237768254,1.0194796124095802,1.0690658934821098,0.9687602836036728,0.9308768583543007,0.77361162823284,0.8521264161047241,0.9069401552123889,1.4921865259252962,1.2374288286848987,1.6024859316797178,0.8205768998854789,0.7160274278498561,0.7395000621447324,0.6566652879972343,0.7506267354751007,0.6760974885795844,0.7103614114049526,0.8784452372768119,1.0272373758128914,0.7576314023092816,0.9519003354787821,1.1348212845461838,1.0452069871857852,1.2231572460255375,0.7577264871923534,0.6996791141478789,0.6442829475366552,0.6074007925926215,0.6470823269853304,0.7512326440251338,0.6964221022308056,0.5412719448195069,0.6203266039252605,0.7745162645669008,0.631746760650709,0.6142185741454727,0.8253582883445452,0.9632515566108164,0.8149774636960039,0.9041936204694468,1.100057820447352,1.2189274801865155,1.0681009947470603,1.078494246024532,0.9197651366297929,0.8134272275478723,0.6812510296204457,0.6501069257411809,0.7616537640884657,0.6812981024054174,0.6075728305376715,0.6906691327606246,0.7459136072167424,0.6767673617527742,0.750654485352202,1.0617050125810998,0.876764048198626,0.9463385425452349,1.0002156633180423,1.2567144406563073,1.140546977722585,1.1140386290797581,1.3405677623833077,1.4797649796095917,1.207557309033239,0.9981618541282873,0.777582312969613,0.6749292412091266,0.947246845464049,1.0636356708267578,1.3263241375714399,1.6809351738961609,1.1269634889580156,0.7575483218037753,0.6472905534037043,0.6104248985356577,0.5667863322200043,0.41382518175187694,0.5511809515787672,0.8170712230686052,0.44398087195416286,0.6220325797846589,0.598913914030123,0.4814277886014959,0.7203942276293295,0.7943722444906555,0.5634752685059857,0.9433715927006563,1.3741703555247906,1.8930726402925397],[1.0626845516575436,1.0811943857118056,1.0302069560128597,0.722525528542619,0.6866082018442599,0.5704109839918217,0.4991626691939517,0.4902829295596666,0.45215852336225687,0.48184683158624575,0.5054728697837504,0.514630865817195,0.5223949867578163,0.576496696735454,0.7018223640390193,0.5979190190333269,0.6083526660142399,0.6394353376710118,0.7262568899162881,0.6869708005499547,0.7793042402028036,0.8537818421388906,1.0237821863273675,1.1440912625659898,0.9183204023544606,0.843317217311606,0.7557409140295472,0.5947616361429364,0.5871234783529847,0.5775104794858361,0.6672383999491764,0.6121521372809074,0.6947730752274993,0.6427478529585424,0.608459719956491,0.6056830911163723,0.5884555819381557,0.6631836075285741,0.6445234971769189,0.6922490688086138,0.9614702805341794,0.816525901405714,0.8094807848010938,0.8500907912497776,1.2442581279381353,1.4237603672688983,1.6395633492945758,1.068127329907755,1.7271658825169178,1.5479094314881943,1.3749853052714027,2.028171484624286,1.7294576267433588,1.2828771059007171,1.2736739241831567,1.1540106073329677,1.4414389411699473,0.9058723699685319,1.2347389279726815,1.185398792270889,1.1411223086470534,0.9276625638617243,0.9689829888660725,1.1749651122423348,1.0662463040110552,0.8020687318375442,0.952038421001205,0.7586848093646257,0.9479890990013402,0.8432656080425148,1.0242676272668008,1.189123244425097,0.967393610751949,1.14459077200699,0.7752284300994571,1.3838393688620139,0.74897457337683,0.7363285826250905,0.6828124225918176,0.7088219326582642,0.6295523158569799,0.6718694236830258,0.9625676683627158,0.623909364234636,0.6986540798394747,0.5954641755134273,0.6392583298109458,0.649791365436116,0.6595557166849979,0.6632900424984072,0.6941715840838698,0.9556470455636198,0.9016110545374072,0.7877439100377277,0.7179909721641685,0.8665894949961908,0.7948804708593727,0.6875658442993874,0.641039663878913,0.8532094200035958,0.6261248758017559,0.6859671871830963,0.5746061598795428,0.5708675242701748,0.573738068432756,0.5823465890432533,0.7213048602523777,0.7307303382984042,0.7175434204002674,0.8321922566070336,0.5907790959959732,0.5342169974167641,0.47907518099231644,0.5112664896537545,0.5085959412689331,0.5444540052004964,0.5892610555765525,0.8920074015273715,0.8871268571249777,0.650371018689161,0.6707231698428553,0.6179570382028466,0.6548622412076943,0.5004913202150446,0.5049426921372373,0.6386524415294534,0.5990704767169177,0.5887889254261433,0.6071022833746641,0.6237083157766958,0.7190981779763251,0.7251808531523024,0.6488379298901487,0.6216528478232052,0.6077450346709244,0.599634981681285,0.8833795403461052,0.868027620510119,1.2648394167990842,0.6159991706112233,1.558565740821229,2.2634646756971177,0.9641980504791392,0.7018998135297421,0.6111255498763284,0.5686484449797369,0.5483185303434399,0.5534741868637001,0.47335561740705995,0.5264307503525647,0.5874433903801769,0.680953465196344,0.8586267831506903,1.58092481216441,1.287447515272321,0.6681728231243712,0.5574212612075055,0.5667682420655156,0.5182622270214028,0.5259835967832116,0.547091480496456,0.5716111772161172,0.615395480653474,0.6541740851959919,0.6978987499253714,0.7613065800651533,0.6890977240621298,0.9269046508918132,1.0951752174505975,0.9190874687554749,0.7142103813778641,0.6130372203211912,0.6118782015580393,0.5911425757948854,0.5428690440641771,0.5752648076349527,0.6077055759245946,0.672795633368588,0.5574872727805429,0.529853301986485,0.6025500671038663,0.5387603572566232,0.5869171130663019,0.6278817105400052,0.6465130008079994,0.8186608687287826,0.8988148880999856,1.0876358021289232,2.036611347306847,1.4858859712940113,1.3750629204338414,1.5846145005105243,1.0092019166210815,0.8530821317617805,0.8847019184349787,0.9438095819410923,0.884120496890033,0.8702572144950698,0.8869080131681297,0.849226318525199,0.7952494267373791,0.7488048565408013,0.7309436058627499,0.8460626428483689,0.8383654256052571,0.8335031428687432,1.0331871834616813,0.9765867887986422,1.0117968084791307,1.0151236741169727,1.0604648320866104,1.1638905637901482,1.218530268854845,1.1694221507526805,1.2822590525357216,1.2980809486639808,1.218516068211487,1.2453447567155977,1.098225092779398,1.163025009248577,1.249384983546081,1.6238037490237502,1.471070229884028,1.6862564661158614,1.1059697351700837,1.0337255540888177,1.0408421575275058,0.9870705083790445,1.0894592398356882,0.993908403776289,0.9483395363548062,1.1174022780757167,1.2661956222389423,0.9595355660216415,1.0459726937442573,1.3422037423770063,1.2166098810460384,1.25389052440629,0.9499388254619061,0.8559738150689082,0.8256069304766207,0.8580131589635224,0.8669000047521269,0.9756660106092884,0.8848929800031716,0.7876818610011701,0.8849389333334442,0.9662287014231766,0.8682359290687346,0.890837887584264,1.0354412343241437,1.1295362332740635,1.0241544148789654,1.111303448498624,1.2297176320929144,1.3144570748058002,1.2466422016551393,1.2664849765972221,1.156954202272945,1.0717329429328293,0.9685375776848982,0.9584309108747425,1.0832616829318962,0.9967830494618135,0.9401266685261663,1.025560937840587,1.0608943538255275,1.0028912171684194,1.070034148181493,1.3486298572898432,1.1652822406832695,1.2289202253783025,1.2791709436502765,1.507982883816018,1.4112650935263311,1.3755619925703522,1.5301035130536593,1.574365622505129,1.5017542686831855,1.2662007858773305,1.0725952509715762,0.9859577581533989,1.137820118082505,1.2396870749293996,1.4879342801842017,1.6979601139708307,1.2046999959674085,0.9253918386588386,0.8217713140308066,0.9002913738818681,0.8335586267956212,0.6672923302626624,0.7537759031617524,0.8597807078062589,0.659979318592599,0.8223665232726058,0.7374097485784161,0.6050709377273369,0.848608351705092,0.9320747536300648,0.7085320446719893,1.0011991216594909,1.541405257572194,1.8898833185315607],[0.8075849474749465,0.9007609899253786,0.9270995177686845,0.5988158512200751,0.5574358672544597,0.5208481678275735,0.4796187237038046,0.4866285250651056,0.49348115261723635,0.4502904872260156,0.45085443743185966,0.5056047592045924,0.47217347892938516,0.48851653576505355,0.6334182243559285,0.5218155764589629,0.5206154818214251,0.5120194798644739,0.5975241147288565,0.5680659753555725,0.6495843944791208,0.7520983426131489,0.9126663173040869,1.0187939089895897,0.8416855835782254,0.7416642969092101,0.6653238142599917,0.5250339372461154,0.5209681968573638,0.4938276293936483,0.5597717939376645,0.5313591481016172,0.6122468577468566,0.5373951983296155,0.5060791248733875,0.4940999183506734,0.5400651927130383,0.577678159363003,0.5798351739461691,0.6491492889631844,0.9102873251971246,0.7157291160561486,0.7130553457420175,0.8110874820631923,1.1950365770862972,1.3682875390110676,1.5823253598570959,1.0093186408838561,1.646536999355049,1.511952996460017,1.3367332199624344,2.0108507485203835,1.7766050563430904,1.2852398002931307,1.3768082926282414,1.2583628837018952,1.4823151041050497,0.956115612018043,1.3407128260449208,1.2268650146118725,1.111809167672536,0.8516822355247858,0.907444589997068,0.9260975342066875,0.9582981780907714,0.714013641819143,0.8371765377462305,0.6102140419639315,0.7836354733000784,0.7250537089301458,0.9363015937499386,1.1208094137263374,0.8568487646766005,0.990338101991588,0.6533339615328473,1.1752387258212322,0.6297349767567275,0.6218699961833577,0.5759519736735063,0.6126549784824105,0.5477944809916769,0.6106638175340954,0.8825691597678819,0.582249300268276,0.6513991049716772,0.5204781386875518,0.5573444839071161,0.6155796411769453,0.5396091930938666,0.5547638541683175,0.5610299851274646,0.8073834198327938,0.7999236966418847,0.6376739481737079,0.5939477189631338,0.7294921805774455,0.7103641087843645,0.6003154055885208,0.5797274432317675,0.8028492801893575,0.5812012422705706,0.66892875385321,0.5324829268158449,0.596690411397179,0.5762413869847322,0.5279888327476574,0.6384948188503788,0.6470171087684058,0.6046373527547939,0.7318265806124711,0.509249452007957,0.4591177042378191,0.45684616425957286,0.4629201044565746,0.4725724558262733,0.4993331270452671,0.5248740476192907,0.9215433258189826,0.7693808230264858,0.540823078689001,0.5825783028439874,0.5061627489525456,0.5812879766204707,0.4391347307977392,0.4477882331199727,0.5474760250276925,0.49828422521710575,0.4865297920793598,0.4851654273601306,0.5340298445763629,0.5594471648377894,0.5599349947437741,0.5319797784150468,0.5463300485933881,0.5404198647371532,0.5642937234316894,0.8213850924581161,0.763479470930288,1.2090700012895816,0.5724845636775042,1.511735617941105,2.3136400462703737,0.9588245228387448,0.6437306503010087,0.5497722714975192,0.5070921877540717,0.4995155597743498,0.5160068704175393,0.4586303933006202,0.5458996997612053,0.5915682872357712,0.6807154507052512,0.8048276821299861,1.5169389571215657,1.2731555555898253,0.655831646133997,0.5488013029826724,0.5818394501809213,0.4915932593709603,0.5281145653905612,0.4951659925344502,0.506721987841474,0.5775186296194189,0.6046131198102689,0.6635026484894635,0.7385636491486486,0.6948936999668416,0.9562661629499049,1.1145758176413103,0.9344869656548822,0.7039734155321563,0.5831214785721324,0.5747029058731762,0.5393398406685722,0.5044639656309039,0.5501412476104565,0.580045808663758,0.6107503070856908,0.5309386689466256,0.4796930453805673,0.5589145771250619,0.5106163578138818,0.5332801086199271,0.5654714056059,0.5971518220195563,0.7755843648040941,0.8576087571048322,1.0912921266001374,1.9779241792785145,1.4314742848740605,1.4106838438595333,1.4770664833601117,0.9827892597605293,0.8000070558608774,0.7776071101551802,0.8174224389314149,0.7385138967853717,0.6789282309022083,0.6738336860571955,0.6709892169393218,0.618744908886953,0.5898988847855305,0.5736276808545512,0.6499610787444012,0.6778251591805784,0.7045182251619453,0.8670478482251368,0.7880198827675997,0.8647290869399816,0.8863855185148969,0.8683712455294583,0.9805516915819438,1.0946698480163806,1.0226578826546586,1.0962357363476642,1.187429866571989,0.9727912702655523,1.023706981699546,0.8783979199902338,0.9322685675118335,1.0272193382575707,1.4269368287714248,1.2994014698679262,1.6238665990203793,0.9580754086994907,0.8557353290505313,0.8704888742778121,0.7878589091373508,0.8916830495713335,0.7868981970255784,0.7781477573584501,0.9617469173043233,1.1019563124424612,0.7655898747548691,0.8519459884689856,1.1586528729284893,1.0546995836164443,1.0976838166823017,0.7449834052834614,0.6658406346665116,0.6637270332196193,0.7125936284118427,0.728557752141444,0.8617373205326694,0.761710566831972,0.641877068993904,0.759881002113701,0.8535528973111458,0.7682803497948443,0.745197746992953,0.908178094024562,1.0320109375613495,0.9047151295485888,0.974401749026992,1.113444364788565,1.2317082399317532,1.1007877638077523,1.1121250915901002,1.004197665389488,0.914193256588074,0.809442843278578,0.7806684587161241,0.9133322142703949,0.815738226693642,0.7492728490597357,0.8375512185195004,0.8841439930900776,0.8073242586752029,0.8932131988283842,1.1728633035703195,0.9690938065380074,1.0517910624168831,1.103203375449088,1.3028213372081348,1.1898197679181686,1.1153055810957395,1.2868016483590643,1.3724556595255089,1.2425219743849765,1.0338171381729555,0.8896145653302326,0.823676352216533,0.9531626880816932,0.9998285485428993,1.2234381319302285,1.5543614128329306,1.0306755110502597,0.6653227676349038,0.6095094791059679,0.7789634158434892,0.7772657341976322,0.5614470648753558,0.670966044879254,0.8248156358821648,0.5992390416789041,0.7775513146944203,0.7211893383613089,0.6455976476691285,0.8193887581139421,0.8667996637138106,0.5910239321065242,1.124624284192083,1.383370143824906,1.677453532773715],[0.7731795499012387,0.9214878671225413,1.0027376271226445,0.592958510890343,0.5807565692226815,0.49726445486584125,0.517210819014158,0.5218918405954917,0.5543697854300719,0.56548646947661,0.5763122052218439,0.5911652912929893,0.5904625756396138,0.6518182601382064,0.8098545881764011,0.6894048801456107,0.702505689428226,0.7260084833957388,0.840327932112051,0.8347644420293032,0.8788865446359836,0.9630015165092743,1.139655306531935,1.2311379786162722,1.1342445576570812,1.018320737510945,0.9349930271790347,0.7931785658754659,0.7600136950459796,0.6770342482158161,0.7247605001896722,0.665509565960332,0.7280997499746121,0.7019443204212789,0.6804979486550458,0.6970455463985148,0.7076064451842374,0.7943034312778919,0.8006454018448698,0.8686074754441764,1.1249228153926654,0.9710921271946824,0.9911073537755524,1.0549854790603486,1.423441157597642,1.542590935652084,1.8245937261919034,1.223670159663071,1.6925324346574486,1.6228726031610379,1.4192710068923102,2.06477065055832,1.8052727775358952,1.3652046673238143,1.5159158105388584,1.4285606917317972,1.6004273667778608,1.1990413974759062,1.5195413315031985,1.4013667558266805,1.2828026289003727,1.0384496327734731,1.0364584760790865,1.069550146498713,1.1654167100033173,0.9344854379390529,1.0273218175754506,0.8238021004935737,0.9797396128622923,0.892513948539624,1.0718703524131654,1.2254084194911883,1.0093932682565625,1.1760097765485067,0.8207593531722662,1.2435313298219481,0.82212788131005,0.8157792766856693,0.761587147554184,0.8515704087332596,0.7504084609518727,0.7897228302743783,0.9623453192090821,0.7892617522071642,0.8418666549267173,0.7335617475709487,0.7757456114151405,0.7888652463506762,0.7486001848026812,0.7431090824732686,0.7486400918320602,0.9563149372550785,0.9500219463057475,0.7749558367123205,0.7336020711865378,0.810909668309256,0.8219658136272954,0.702257614106845,0.6483300301305133,0.7782970370557404,0.6349352049382676,0.6568992866156196,0.6301801577411074,0.6071659652975231,0.6516713534964863,0.5986749513581344,0.724671097092408,0.8480962354370077,0.7889163996231872,0.7654401649389486,0.5751420557146124,0.5586975586730268,0.5434662411552728,0.6046822409891135,0.6382218871525156,0.7127926487989574,0.7681783300738872,1.0763278551072317,0.9926669388476953,0.7610841996948711,0.806833883304451,0.7196822463994362,0.7783570678496174,0.6401737462519415,0.5748444589631159,0.705396596800134,0.5537745190458302,0.6540476025026879,0.6129660784913796,0.7081168706069562,0.8023602270419542,0.7715864939523694,0.7724661335977272,0.724507618280648,0.7594647958464463,0.7707763637128303,0.8794705692818249,1.002956775418764,1.157078336090856,0.8097273084939292,1.4859065258804658,2.5022656587618033,1.1688831392945989,0.8618431730692379,0.8018173941652477,0.7154938394170874,0.6910199392130298,0.6506670499569213,0.5819558564429099,0.601043234215959,0.6059370934102394,0.6519499806873942,0.7508500905914666,1.4388377565509072,1.2496589512846419,0.6292022020439548,0.584954321057904,0.6014146791197258,0.5663776969462172,0.6059642741856444,0.6708336413732561,0.6866331428040443,0.7776116548917623,0.7993605403962437,0.8769697389438935,1.0068495465629463,0.9472882287029223,1.2274425061031402,1.3372161626961543,1.1288300243395155,0.9160545390052146,0.8073448485694698,0.7796601867997293,0.7158472994635878,0.6901231903758561,0.6720005132230991,0.7266706073408192,0.7356374910039231,0.7125756444997642,0.6539417569815369,0.7450553993651235,0.6331784273628441,0.7028871692486474,0.7971840276584187,0.829148229131173,0.969535186698591,1.0304626647763042,1.25812351706055,2.0633558917636754,1.6557707470955412,1.4736312762503252,1.6245025081370992,1.1989204852631532,1.0388697852052546,1.0598524705151953,1.142399236125544,1.020294681253585,0.9528528833450416,0.9162945535743338,0.8861472276064443,0.7779633343087582,0.6543703724040891,0.6813087150702278,0.7285660884925056,0.6894806322376126,0.6610250522090101,0.8362675593348815,0.7689735718630715,0.7506502914338568,0.7717486996061922,0.8077784288579428,0.8702712555978472,0.9296077405116756,0.9039303593971484,1.0151999361111468,1.078837137914669,0.9601389643758077,1.0285454662542137,0.8992889924118662,0.9206475428838938,1.0726256960088942,1.3028639470856396,1.3466229662061018,1.4975346553106736,0.9642801262510624,0.8836363892242054,0.9340860816930805,0.9054717686468201,1.002216760929005,0.9297637912867874,0.9422702473202991,1.1865298159398434,1.2975888248090082,1.0067470960320397,1.0850510920401482,1.4207659293782315,1.2725830468566004,1.3186529470287136,0.9737307542077005,0.8947384547713306,0.84673693040415,0.8101253118664391,0.7841633418743523,0.8274506330757244,0.7464220979833461,0.6787477847562048,0.7027723418427108,0.781434791981765,0.7279067361047681,0.6614516956574977,0.7888250006067065,0.9269845566249545,0.7804569784088051,0.8272173371072494,0.9682572628474754,1.0884480701210417,0.9488982070464025,0.960286734288134,0.8745239089141172,0.807243737162939,0.7365242417956698,0.7550730505100025,0.8633121367895006,0.7810003258414919,0.7771869432639454,0.875469454058643,0.9159088983998245,0.892573348427068,1.012722253766047,1.309695481184889,1.088638044601758,1.183802240868672,1.2857843052922442,1.473124463546597,1.3531051617074625,1.293724995012889,1.5316651827225076,1.5594364942007521,1.3542365871051356,1.0976990266202118,0.9018008741271075,0.8085244791878043,0.9374887353131298,1.1294155710237233,1.4297306441601523,1.7540334109167197,1.2840750635063325,0.8150826019911908,0.8116079644618928,0.7658970082236204,0.757897897826882,0.5937338491963537,0.613777814107808,0.7722528370472111,0.5713095193246427,0.6960899187219176,0.6654694746202683,0.6046664614016526,0.70396033978838,0.8479449829498962,0.6561212671183805,1.1508848379996717,1.4035204100219425,1.63688923512101],[0.6938860999455663,0.931555816758759,1.106360491988456,0.5895976646070914,0.5762299507096927,0.4907838911570289,0.4579411384268706,0.47247869913723844,0.4617372440963337,0.39404088441124296,0.4113573318187526,0.47658464138156836,0.4314098642182566,0.4599751789857225,0.6297882749450155,0.5201717250582925,0.4910300356943112,0.4764381384800966,0.5653009595011846,0.553571238107559,0.6500715579975295,0.7269193904192608,0.9459249615722599,1.022426446886993,0.8962614651227594,0.7519253662322873,0.6338430936827094,0.5188846970107839,0.49614827264922995,0.4626439783968599,0.5643075442625611,0.461874571955344,0.5490284252544064,0.5176271629877974,0.47699613249793016,0.48763970781444194,0.48606036717301154,0.4929016784440427,0.5162726835086958,0.6173364648024156,0.8347888374975926,0.6447122171022216,0.6621794643428646,0.863943679671848,1.2528536176173541,1.392257680401974,1.7158850204824532,0.9794262401703271,1.4970503881544548,1.4859715881911517,1.2808772086140945,2.0810030896272673,1.8534776962325568,1.4181932625174634,1.5153845390860794,1.4337550939488197,1.6598388432082076,1.1081271768170766,1.4780541885581058,1.4652848463160142,1.229629479150603,0.8969077055067193,0.9639122307534921,0.8027493780381433,0.9123389033713791,0.7755291766535981,0.7799933032248177,0.5647622891126249,0.7290439131114032,0.7251612574380524,0.8913407666450975,1.0838399888869452,0.848565393766357,0.9509323281508993,0.6325333297167564,1.0838151355813972,0.6059349990736774,0.5959922815868283,0.5735305775251339,0.6072622973127095,0.49270720246963395,0.5811574285154352,0.8621628340722925,0.5508637113324895,0.5901280957631639,0.4802555622468906,0.5149949334799045,0.5833372770741125,0.520845146089317,0.5711492707469595,0.5428297076086492,0.8276036666265236,0.8169816165266576,0.6400486649266959,0.5866917341446516,0.7095080051372198,0.6819816046667584,0.5340186306855174,0.4846368162073081,0.6806285264123895,0.49036494824324794,0.6000072729583241,0.465741117467039,0.5158667679660561,0.5548920053044429,0.6178195498587873,0.71245415834723,0.7956418626701999,0.7733477082260564,0.7502575693907918,0.5753572145692347,0.49441973403329736,0.4363490445644302,0.42909898843236777,0.41991871146446735,0.4582509803384006,0.5243168225885653,1.0498030927952375,0.7889768885645836,0.5227496281388061,0.579487584563652,0.5105363438568151,0.5726638576751361,0.41149320913367005,0.38803011913053675,0.5168688571597488,0.5348549448934244,0.5275581461093338,0.5540593395893477,0.6147608806663588,0.6982604270673576,0.7099789489578736,0.6005734919232546,0.5835118617458346,0.5474663589360872,0.5507640328277107,0.7473732190891517,0.824483467728117,0.9746167607821126,0.6188687769651569,1.1913488673608803,2.3028045971987594,0.9635542531382986,0.5744476807097654,0.5298263871380506,0.4371392008225756,0.42649086557508026,0.45483430810956677,0.4138737325440276,0.4824632745594002,0.5272378105953284,0.5708719998097536,0.715432525263864,1.361604335661735,1.1187690858084294,0.5707752099058754,0.4895973897158856,0.5010956150296445,0.4433828762544918,0.49113509349617746,0.4590389166727388,0.43708212721357065,0.5305796960040674,0.5584222938456974,0.624580418405358,0.7742791488026649,0.7274320819380856,1.0610457040344594,1.2058150116800974,0.9406112298380926,0.7002941942341049,0.5510122147172521,0.5295161833372821,0.4825789203560271,0.457968482170097,0.476489016991773,0.4919889716290829,0.5410206773246463,0.4881034061186513,0.460169462780626,0.5126480214664112,0.5008164187989357,0.5268091625739239,0.5805845999910693,0.6087582290069966,0.7621480451013989,0.8158178577072448,1.1254160325662095,1.970265909058542,1.4981233410288315,1.3857334337741865,1.4196350139345528,1.0222220229991852,0.8704818077399863,0.9305919974305423,1.0015516072404924,0.9112844817916563,0.8834434316057158,0.8950016507714343,0.8687780595507192,0.8068307535993257,0.699584935739929,0.7070236646909954,0.777259898002125,0.7368904017445574,0.7017872883848166,0.8385734284556392,0.8020246790349601,0.7373305212554998,0.7424928889543675,0.8057918152543148,0.8234586622754844,0.8097995343191432,0.8472737444939971,0.9481450461963988,1.0192040402477904,0.9438957055876427,1.03153942048651,0.9271767688551777,0.9340653210984862,1.1069213958628825,1.3077155934492959,1.3651356860705648,1.4563595191481384,1.0069760111543096,0.931192253211849,0.9967001558326595,0.9687432177612758,1.0477796643966966,0.9709708501584682,0.9551096880572041,1.1996649400026271,1.2952756757845876,1.0099123449730958,1.0590587709153658,1.4615675874117005,1.2622924432229472,1.2887963841689822,0.9788189480251984,0.9106934233390378,0.8646523568576039,0.8447454010128941,0.8270705694430909,0.838640642939526,0.7980994099246183,0.7528352978372983,0.7409625098601813,0.7845713213028928,0.754936444308053,0.6940455504650814,0.7419549801663204,0.8469371364783234,0.7371857437909277,0.7744606212696441,0.8503662061485312,0.9568753338682148,0.8332083085555209,0.8569764276797286,0.8167628633125701,0.7872720056597947,0.7553652305489502,0.7808261440982607,0.8735978102683777,0.8022692786880478,0.8199254564375921,0.9093664692608917,0.9405409237758594,0.923495460600918,1.0524045590277988,1.3177693269298019,1.1089377881283289,1.206606359851232,1.3157094191621683,1.5147882796897845,1.3724042166244634,1.3238898070828384,1.5005141823556545,1.5330629178084005,1.3512462833191592,1.0970050768839348,0.9080633265157475,0.8183854023503994,0.9196375280169143,1.124792407542362,1.4069391540409144,1.6696917396610917,1.250944217925119,0.8082790215675655,0.7979547813706677,0.7627889311831282,0.7486726746784858,0.6462288853643771,0.637579139746806,0.7784478740359894,0.5964012262877072,0.666687461767502,0.6559095117418042,0.5945132911764274,0.61686190384887,0.8144578464409686,0.7142895803108281,1.0568062649726295,1.3109461968140552,1.5238766923925453],[0.6883249280039894,0.8489215835906868,1.0849769532319373,0.6003383581227678,0.5554438383864843,0.448721224597763,0.4596050696274249,0.4653944187357513,0.4625296028035428,0.4413899433960749,0.455910569898123,0.4865995867656144,0.4902348036600022,0.5300734128944977,0.7255324290956481,0.6039459569406527,0.5804041180000798,0.57455201855435,0.6630589593032975,0.6396329300965286,0.7398057897993493,0.7873197067720619,1.0118007616658653,1.0731195276461396,0.9455145036726487,0.8094268968917285,0.6874394126551328,0.604863556037914,0.5893658283974996,0.5368473905463962,0.6590703699665855,0.518524145063762,0.6118370259295444,0.5844181174741098,0.5568165023996245,0.5759817512343178,0.5469984324378947,0.548698428438596,0.568736909642019,0.6636406358946705,0.8498414436520839,0.6936492611473748,0.7101613491725083,0.9268470069847252,1.2861473125234384,1.3976397408367847,1.7275659314184473,1.006506533524192,1.4786160874756373,1.4948156804161528,1.2967738442194816,2.1146913659162667,1.9070901480817284,1.5146596117538165,1.6063123048221901,1.5492292788317168,1.7654844001124361,1.2309245175485943,1.5973386524872046,1.6030995949100126,1.3385530394429033,0.9917215111377125,1.0590076368372403,0.8272381798406641,0.9377514573590378,0.8781280125386023,0.8225459789781708,0.6607933552678351,0.8002511976909402,0.792056470786863,0.9314186573309506,1.0989300480153457,0.8779206091245119,0.9775649033402464,0.7037050068962184,1.1290156709375667,0.6955104816650464,0.677140194049527,0.6608887787032094,0.680865658931897,0.5553837033275677,0.63364299886949,0.8676642560756048,0.5971632622657137,0.6251825607916189,0.5401406893785213,0.5820981792764836,0.6331144067673286,0.6031594494192885,0.640998666990259,0.6293261062427967,0.9092331108038931,0.903483335467002,0.7196868525450888,0.6655570166947254,0.7657406143824333,0.7543425612954738,0.5904574539632513,0.5254581561105718,0.6690126433541774,0.5232540257021977,0.5776628997959385,0.4718212927647393,0.5136496711303722,0.5756748528214936,0.6076844106371028,0.6963688653383234,0.8361915096826764,0.7953707226073912,0.7130133145573899,0.5514612081861539,0.4979444218102775,0.44356661679637355,0.4671126671666955,0.4888027387081921,0.5323138169953229,0.6031599967653591,1.1993588344326132,0.872049468646154,0.6195058449411808,0.6747324189364737,0.613668581145856,0.6786023430598388,0.4901063360803058,0.4127688484371499,0.525433734280324,0.5157432245302395,0.5409130571938765,0.5515371317228773,0.619532753277294,0.729931827093934,0.7284867292453577,0.617530275318455,0.5824566747989315,0.5546577881529737,0.5609630326216014,0.7348233031133913,0.8307289217378621,0.9541997868159148,0.6676315495444417,1.1568119623917414,2.276860698956458,0.9959240539915145,0.6128613263543684,0.5836185675095362,0.49959805275141317,0.486257561972446,0.5218395750424616,0.44260908510609864,0.4917672442356425,0.5027559251396341,0.5649216205684452,0.6729942457589255,1.3157375936722868,1.1377260728192338,0.5621313277607376,0.4995862267017699,0.4960262714660333,0.46713649932195406,0.5050884930618459,0.49261017551401887,0.4864467174186643,0.5741703695155103,0.5986003805075272,0.6457094399697637,0.7999408717083238,0.7332085648545537,1.0455242554080475,1.18629328910869,0.9312947699290085,0.6940833367661657,0.5702423103839303,0.5474435823102467,0.4994746311943295,0.4841534731941518,0.49682227623281705,0.5148160233619808,0.5433905481899649,0.5176920217586961,0.4817122816309216,0.5404672605510313,0.5071041557552629,0.5330792431346418,0.6009538382893449,0.6248111456338993,0.7779641269451314,0.8359567017287785,1.142876408107514,1.9651771818535113,1.4925977333017149,1.3850651693799243,1.425081275746463,1.0208310872618274,0.8694789880981296,0.9381801043398744,1.0361188109644017,0.9468528392185294,0.9302469575211348,0.9313429586215737,0.9040264531160666,0.8224897223902535,0.6973041876918905,0.7041213101056467,0.7667812638482593,0.7140752410684628,0.6522397419430255,0.7848627324939812,0.7645400780595317,0.6631669499176498,0.6555366685528966,0.737376090191234,0.7392007610284298,0.7160690470716483,0.7953626439239931,0.888340384657534,0.934150076520957,0.8917306564206587,0.9956591170921547,0.9011733220529041,0.88606234373926,1.0507091124681243,1.3019892381915117,1.2959494224035983,1.355468317802169,0.9710502606311199,0.9251579635935789,1.0009969694733851,0.979316534411974,1.0383839445476708,0.9818659201846208,0.9594818878865089,1.2020118850476293,1.2803823344149896,1.024227756858544,1.1260129354841495,1.4333295691823675,1.2750890757415911,1.3178937541059277,1.0051871916903643,0.947699031506287,0.8993810774404346,0.8572628892061438,0.8449917526586236,0.8297961994018708,0.7973447763249417,0.7542963185936586,0.714360217442916,0.7345852107020504,0.7247612600183506,0.6490301699483693,0.6600845451714357,0.7727469255310155,0.6401994052325959,0.668448760045541,0.7325326588224893,0.8914292384623668,0.7102357825539957,0.7267567904879212,0.7188579353030707,0.7179879037508536,0.7186324595726464,0.7483320372820558,0.8175384101278597,0.756829949177846,0.8093684331801081,0.8810635316348071,0.9101118764112108,0.915295948308691,1.0392198483848127,1.3126255558748336,1.1053603874698632,1.1876378554358895,1.30845387525576,1.5091296984596494,1.3684382832396256,1.316557445973232,1.5793353248955428,1.641724078977337,1.3170376681342975,1.0781601731217665,0.8851000996383068,0.7409316055177104,0.9034789062082393,1.147838869166837,1.4588787341676652,1.7734975605867602,1.3719970291745065,0.803014171492778,0.8230486136866106,0.7031489149330774,0.70962169145772,0.6215072371642599,0.5899289491694057,0.7783143751844446,0.5529323856432705,0.5936788709758682,0.5632317800558642,0.5641376100793812,0.5568417116977628,0.7033749507043826,0.570976138787146,1.1226697989092596,1.1687998222121174,1.4953776725546755],[0.6601065875226088,0.8100868742592217,1.0036705368487535,0.6156858991482544,0.5495931305148659,0.48787226131510575,0.5307063562039559,0.545828065119422,0.5904556376121932,0.6009050304875843,0.618992786765382,0.6307595947589122,0.606639566453025,0.6817290048064081,0.8607241655986929,0.7259145596770825,0.6981343130733695,0.6760742939472411,0.7209650225448369,0.7046013575526104,0.7613819650845942,0.834544216098031,0.9794381789929283,1.0593481574750472,0.9438843388323688,0.8307995621698752,0.7591248607574832,0.6770318347135791,0.683535215247672,0.646506745849209,0.7877227502275744,0.6870330296622444,0.7889014643069088,0.727140372557267,0.6870465967615111,0.6810370247411178,0.663898507018434,0.6718821511144495,0.6742222744337463,0.738656473350652,0.9517694098973919,0.7779986420802805,0.7882468908789849,0.907672770850363,1.3027992885064474,1.4478705268893055,1.7283258115655868,1.0705286767997646,1.6044225101981637,1.5180654976654027,1.3337909857885697,2.0789473189641057,1.83486677478274,1.3674901069608698,1.4728948090640002,1.433361532285977,1.6571425518410876,1.1536591790351385,1.506210034680022,1.4529157987982961,1.2748161399765914,0.9883763485160134,1.052840145011025,0.900259605055885,1.0036785080864206,0.8906944286538634,0.9293687354056058,0.7461087395546833,0.8926857665324928,0.8715053000883856,1.0085910965121352,1.153342061907993,0.9487299119358146,1.0531644629590664,0.7864555813087919,1.2116744177074814,0.7657511793016223,0.7916389252447213,0.7356763783613962,0.7739952819399585,0.6635736751130293,0.7175941009446716,0.9262745666704699,0.6822661725036884,0.714191142571379,0.6245111301411366,0.6809683521043457,0.7219003669249455,0.6885995277993544,0.7371945508797324,0.7407063892085447,1.003916012362888,1.0341924620345577,0.8677822785534771,0.8122609393350018,0.9336924761324435,0.9222320949354964,0.7634214924822451,0.6980368673449877,0.8088808109983989,0.653504109250014,0.6483380035439089,0.6097034303966117,0.5963661885043892,0.6210598568994882,0.5951522628017735,0.6771655462165147,0.8567404375653519,0.7864081781927071,0.6949506710304258,0.5376396551770848,0.5556361259146787,0.5403687088735445,0.5551147962763099,0.5846304230659866,0.6207578228344588,0.681335244603182,1.0425709767787192,0.8940720038043808,0.6861492422000034,0.7395338001549371,0.6816529810986282,0.6986256832328914,0.5750589934900595,0.5463497269123669,0.6440136002345053,0.5118600019627845,0.5886649117639745,0.5486012317090088,0.6596599578297251,0.743032709204722,0.7162234887593845,0.6728336369832913,0.6451901043868229,0.637241537737431,0.6456085083521298,0.7484245995382115,0.8712643478537685,1.0751956030644536,0.7029486641099234,1.3684625377529847,2.37830420908434,1.033612526498988,0.7144890012407298,0.6613845991164705,0.5953041903615894,0.5814746764426065,0.609399311554241,0.5365863445951433,0.5928101619067754,0.6004153978515621,0.6563986311230299,0.7162672570515899,1.4480127951998527,1.250195898562611,0.6546474734469225,0.590391098709014,0.5867361853388098,0.5696566693374088,0.5594808569349776,0.5834880132090424,0.5971532903994994,0.635243941720641,0.6526508574370793,0.6902275487291184,0.7900030642809788,0.7820454168647702,1.0640946678624021,1.2086654937905175,1.002477327120045,0.773039927577349,0.6366572534117892,0.636040981631885,0.589516310261626,0.5751089925447538,0.5966706406931815,0.6585504558947642,0.6539598982998578,0.6145660915860937,0.572200099594532,0.6104423622695802,0.535111319832964,0.5644472951412175,0.6816242890457481,0.69608362342679,0.8515596421949648,0.9173110037620256,1.1552933876833582,1.980361006248255,1.548253304585313,1.4181289489285664,1.554954107076647,1.0848934090008142,0.9211636354855496,0.9588299263115398,1.052916721669705,0.9394816728294325,0.9100201792163884,0.8563072285438698,0.8591681372033609,0.714694961722724,0.6011856858171749,0.6295184757196292,0.6408798751299443,0.5803014336389984,0.5542797739597339,0.7161632296166839,0.63925149951425,0.587467619305787,0.6157842347619129,0.6577800607798986,0.6821073294916733,0.7562279476670545,0.7795642389998036,0.8573577451656162,0.9172658271134196,0.819938527279303,0.9069969142677701,0.7865955996547516,0.7809801812237664,0.9389100950273543,1.2939745690854003,1.215314321077004,1.4102395234990746,0.849594551298608,0.7936579404711485,0.8620286047819367,0.8240354726222224,0.8987631399166218,0.8451499291713969,0.8660856932550113,1.088415751550356,1.1793400387239903,0.9396982623042094,1.0729578269416056,1.2881692748404243,1.1807861447196084,1.2764123442686413,0.8972443366250935,0.8553787845272718,0.8055619485901994,0.7425917804154673,0.7411948887806483,0.7569204666326715,0.7265752737079152,0.6422094429452619,0.6192062287553515,0.7189017571453629,0.6698734531242405,0.5592702694498348,0.6678117232793515,0.8232376783598556,0.6463038026571525,0.654705781546825,0.8026445489765933,0.9727211932813915,0.7322838869954943,0.7224789001847393,0.6606903026512123,0.6217957320002043,0.5971019209744645,0.6152741527657779,0.6820757489064627,0.6214918854998789,0.6654511327801477,0.7287865796094132,0.7731621449493099,0.7773707679219791,0.8827394320661089,1.181667225578648,0.9816859235579855,1.050507262928294,1.1880805272907111,1.4169492470743603,1.2811291516182355,1.229369892367137,1.544019553167658,1.6456700178684975,1.251544106876022,1.0305530950375237,0.8166531598106439,0.6763779812230767,0.8998690668823657,1.1127328445257967,1.417669792657862,1.7872066739939982,1.331652493288796,0.786210663237733,0.7689459971965009,0.6655293236318387,0.68192022187432,0.5695184408229397,0.5522099499136905,0.8040186791467686,0.5334456935045617,0.6141894614833682,0.5781245557789874,0.5711126332612944,0.6493699198891661,0.7514594830621596,0.6021925880742618,1.1278576511485316,1.2899034618999814,1.603167667084264],[0.6126024334074878,0.712696967187662,0.9767393615337586,0.5069044722487218,0.43727469078324926,0.3164140693053565,0.3315290020832553,0.3404998213336686,0.38771358902617215,0.34625166154074866,0.37171966291375885,0.40995234565015337,0.37698849683386876,0.4458637855477732,0.663550572243224,0.5081516245188418,0.47847815130259175,0.46654445840796904,0.53957052056819,0.5215328509886569,0.6157678345892378,0.7035995444314788,0.8769468290649974,0.9607873908024512,0.8363686789730894,0.6959001685045231,0.5857572172444003,0.4927987308835172,0.4792109397194151,0.4318706334090317,0.5734201635800298,0.4330804267331544,0.5491507926199074,0.503642507057293,0.463979340325821,0.4688591934432125,0.4594712998965117,0.4594085434749964,0.4723397551176193,0.5664586849336677,0.8193945923183182,0.6119842319014168,0.6204602522141914,0.7646678828388455,1.1418008475632029,1.278264022532723,1.5165198955157702,0.8835145237898896,1.5244279508278147,1.4636615080364124,1.2294954791149586,1.9987850209197464,1.7724201766624685,1.324103506139107,1.4404527841801122,1.363030709031114,1.582582867055712,1.0675159506661462,1.499412365115195,1.399203324491018,1.1781229037878997,0.8566152852986425,1.0032987981496577,0.7433785033944975,0.8252552528784102,0.7593982594591501,0.730408355258928,0.5463063594859451,0.7153020093042012,0.7186709127099966,0.8770952174420215,1.044436299581244,0.8052490418000384,0.8903129801770354,0.6140746725060592,1.0658892787065912,0.5752908841622547,0.5701004120311093,0.550728511621367,0.5634420985095066,0.4729707035283245,0.5594746990150458,0.8357132853677232,0.5047847965562218,0.5589857997998503,0.4391835437753517,0.4942773610598443,0.5586827001668738,0.49216439601977036,0.5414179921710925,0.5245182013006766,0.8224223796086273,0.8275881591554107,0.6528287096091626,0.6036358219097419,0.7229775499470764,0.7211068857392298,0.5496891499427422,0.4595976843207896,0.6181887638233163,0.43741745550522926,0.5009916914790105,0.37675546872640486,0.4337760897426743,0.47787245318770427,0.48474917948228163,0.5774848486185075,0.7660641002280301,0.7154869962323555,0.6288109304774893,0.4156383652611315,0.3736217438269869,0.33194428338965926,0.33444597557474365,0.3676770517575895,0.41908428241850576,0.5050327967391125,1.0923759491625822,0.7233426759784732,0.499698529953828,0.5553055911912299,0.5207039500550252,0.5700651987280179,0.37260486596175585,0.28946306044271286,0.4863477089114668,0.36933410524713145,0.4476918180858722,0.4449261468196448,0.5644313147889658,0.6540268757646841,0.6334842347532555,0.5474671511077749,0.5268950584330342,0.49263585339729177,0.5082778328791672,0.6926135014859419,0.7817836902532075,1.1027094770339116,0.5590015759763408,1.3585446285560554,2.236715331213743,0.9024736664716646,0.5507848053902235,0.47805325430331613,0.3932475938286758,0.3780895547127127,0.4099996555497323,0.3221491644225677,0.38876080171689764,0.4243443535483527,0.4966029526007292,0.5959461444074003,1.2980122925640551,1.0954400164735307,0.4761208034662383,0.4124003702616574,0.4005896448892193,0.35201325086088103,0.38992743855495143,0.40498981019502944,0.39006805145317097,0.47306834584294033,0.49744148124463977,0.5531904800375067,0.6841628760266004,0.6404919971007044,0.9157502482201627,1.0821210106693289,0.8998728579831562,0.6365765106310046,0.4946920453125269,0.477055083507678,0.4279679366993297,0.3945281276312838,0.41392588245696044,0.43931238720210253,0.46710010147784786,0.432127604791747,0.3895864941513248,0.47049395445648884,0.4000040825170386,0.4543967061404966,0.5297409747880554,0.5440021073345416,0.7173839130940142,0.7808602351447084,1.0607028030250418,1.90532869066244,1.4107823380468725,1.353608986318684,1.4390491921845392,0.9665119286163175,0.8177540877638795,0.8572727843940876,0.9471387458971067,0.8524320898897974,0.8459005859618408,0.8058299544910438,0.8060798352216367,0.6570130997129121,0.5422242018553269,0.5574221430418995,0.5847639770705838,0.5152610376673685,0.4842576531070038,0.654206220230363,0.5680608869105982,0.5141358470536689,0.5393471637512979,0.5856527727190413,0.6009738346716362,0.6847609703031254,0.7315241275359816,0.7746401642666539,0.8251649563351557,0.7353581527192885,0.810394009450299,0.6999482930136796,0.6822354442393571,0.8143430564699183,1.3084281356194103,1.1193866694340713,1.3414146476020459,0.7680302599263259,0.7306453480307502,0.8242276737454801,0.7910000114554563,0.8235696077770794,0.7779169923506509,0.8030332581021006,0.9962515838174135,1.0892297081021576,0.8563137959915765,1.0339567229522069,1.1841173616057503,1.1087657162879845,1.2312821648703438,0.8321164897177395,0.8065371184136635,0.7686018773358908,0.7180947865375555,0.7391351242601616,0.7021418422799298,0.6913987141064029,0.6119074018575115,0.5672079447147489,0.630980413315986,0.5919667793253187,0.5021336672683605,0.5656498739133209,0.7193875344981266,0.5524698415434148,0.568201016833589,0.6940201771411734,0.8859598764965118,0.6521382039299424,0.631653055995496,0.565790512042977,0.5401794212873198,0.5393428699937897,0.5563192345168008,0.5969448724383276,0.559734633449787,0.6016622140716097,0.6417927745161626,0.6914996173727735,0.6996703785691982,0.8030053151139378,1.0755939334358633,0.9127112574344179,0.979064585876521,1.0658825085248418,1.2971434616822162,1.1685123897285774,1.1512169509134946,1.465085980195826,1.6392923994687176,1.1489522682259867,0.949933454297835,0.7525795252277817,0.6154257464522147,0.892445252911524,1.0576557213413824,1.3338108233630708,1.748604292264324,1.3130948768481876,0.7358159532312575,0.7108756134974772,0.5793342999525093,0.6031421444889716,0.45719751300753214,0.4245023788427136,0.7311092826777451,0.3903820947339139,0.4813963254609477,0.42520426081478224,0.43970559368355666,0.5826660409005759,0.6297458750800806,0.49815106491449485,1.2612521053662633,1.3189465080772713,1.6701924964878392],[0.7587323453372606,0.6615862015872599,0.8470641885189253,0.3981839355439677,0.3650487561795967,0.2632032363425755,0.27515512324733393,0.3044809628939356,0.3359420083655315,0.286962585035591,0.32217387181538765,0.38205322356469806,0.31961854342042373,0.35839525407957606,0.5037253322097155,0.3929728432550547,0.3645957900160409,0.36614706768007965,0.431662824374278,0.4215890704213355,0.4942579749991596,0.6334920473041383,0.7429032701466147,0.8405222661512989,0.71435569572799,0.5903587475856993,0.4951103742887246,0.3991307434507824,0.3817101794436799,0.3346594587367647,0.453525272803328,0.39642733770853505,0.47944030177407276,0.4119049524332124,0.3719549915640593,0.36425403419002333,0.3861060965748469,0.39719040488149027,0.4016038410348624,0.47386670200027753,0.7887923227226203,0.5471235934528628,0.5358234566017054,0.6240576931005143,0.9900826495352193,1.1643955811487152,1.30003979043871,0.7853815521291383,1.6129139578867786,1.5213277317084009,1.2488790850589238,1.9113951407461887,1.6869641301797036,1.1788593778078786,1.3008671233505762,1.1785252505196662,1.35610524188708,0.8642939158997008,1.4035907985033609,1.1584111876650314,0.9949813398456949,0.7412941158575335,0.9597864116522203,0.7148880126546809,0.7497526460559131,0.6070255081102344,0.676661484634995,0.45189173385337594,0.642934620336689,0.5978871381854679,0.8711507123071436,1.0601924149608626,0.7618395404078443,0.8370650700918801,0.5360885328866903,1.0372841047709165,0.47084275206657156,0.4537180600809673,0.4332286042993066,0.46758280742094965,0.40302338473408905,0.4926986159609437,0.8559164743769971,0.42347632164513144,0.5078376201013525,0.3819179888616608,0.41679754285352033,0.5069934451742923,0.39838645078992563,0.45987459006100406,0.41642705245348327,0.6798101165607039,0.661550323203518,0.5252927403390822,0.49807467303719744,0.6207066856134371,0.6264311894559319,0.48252749673833956,0.4306259640717372,0.6502767519062315,0.4317289598479422,0.528148132598506,0.35935949713123483,0.42537203267982154,0.4351382465366774,0.42196883886386416,0.5321105651068672,0.5807559512390116,0.5477666313904509,0.6124893940286156,0.3359427058909059,0.3174629401142332,0.2758322783100521,0.28637487330406625,0.30662451234109733,0.3271361403785703,0.449652044784323,0.9842234451249695,0.57627409966478,0.4197062459530102,0.44781149454916375,0.3957406552620725,0.443577558103165,0.28080687384889896,0.24646046972503843,0.40518864547751243,0.320958305100151,0.35445230381816967,0.33986593303372814,0.42757953198164167,0.4619018471006941,0.46597160975328966,0.4109000463363501,0.4440729895502956,0.4177769119205866,0.4332699563961184,0.7641390084408818,0.7684856622490924,1.372862573095451,0.5647187754674917,1.6390808846627656,2.146937340505979,0.8214392302760068,0.5440204895629858,0.4061129024541874,0.34078596990874116,0.32282227778762046,0.3533336487591052,0.2727704844762117,0.3756429399712391,0.4149248809647915,0.5286989730318779,0.6781196836965327,1.4001306705802388,1.1183880379989435,0.5010592799709451,0.38432423379580455,0.4073416384831685,0.30790079388101765,0.35334952983102597,0.3381717760111241,0.35046542490523636,0.42715345416312334,0.4391283673022589,0.5040945354052958,0.6520651447286682,0.6089307380974054,0.8602714410984227,1.0609687383507276,0.9222719266739454,0.649131380205435,0.47985982455729304,0.4493702691116867,0.3853002144367486,0.34022315412442616,0.3662416776388109,0.4005845077922306,0.4753000985425093,0.3698111320345187,0.33508631623471125,0.406438335194042,0.3476315895314054,0.3890201307277321,0.4460797809807968,0.47445491479808266,0.6469655653413302,0.7095563194880024,0.9354811159128203,1.8061341362339802,1.242531691673225,1.3764944159931733,1.2817583230382423,0.8775586178704641,0.7138368484276241,0.7126064668070415,0.714610655898892,0.6654754380081721,0.6058850204480271,0.5762574772408599,0.579207527891964,0.4625356119716402,0.4044606605232981,0.40494569982247053,0.46962180064746134,0.44514833150398475,0.47203881036107315,0.6967571768050431,0.5462956384652871,0.5870068919358683,0.618551331820309,0.6198013150037045,0.6898419953459699,0.815774551664863,0.8015118015925171,0.8157656070393056,0.9008494573034127,0.7530242275946101,0.7708868733785805,0.6384305460465712,0.6603372615508339,0.7409764183820966,1.361725787105341,1.0851050884274842,1.523608977690596,0.7396683766022724,0.6477802054511862,0.7033267091516954,0.612683540770083,0.6952825080553818,0.5968619623342991,0.6476844839449727,0.808618972018612,0.9710827605862541,0.653573111133971,0.7845877919618668,0.9663700237466666,0.9263378317896844,1.0516259658963703,0.6255873794821222,0.5796784146197569,0.5536833023480046,0.5601945387846792,0.6074030846923414,0.6794866054827318,0.632097243058411,0.4934270866563225,0.530859317124626,0.6704679132454229,0.5731169468815625,0.504634117520631,0.6539034386854533,0.8041834256279963,0.6465954706607292,0.6945007973801713,0.8462847292263764,1.0058428724275865,0.8114468942570168,0.7974802249996523,0.684126437981128,0.6167636369272559,0.5469454985208877,0.5356227810700255,0.6050422080539646,0.5502168430243953,0.5307707722763794,0.577952930981056,0.6339701809466756,0.5904260308334807,0.6724374539456834,0.9663886269676509,0.7889351016338709,0.8484115390120236,0.886812899808019,1.1199876839016927,1.0146097290110503,0.9889555292932051,1.1974117495459076,1.4064433728258878,1.0401537189042824,0.8816321905384584,0.7033974589655763,0.5929784710460396,0.8968858822959773,0.9696993227617726,1.1808347624961322,1.5523298161570958,1.0065290717149913,0.6342339336198025,0.509828144200293,0.6276662560392869,0.5673856373572438,0.36368294041424354,0.43408857049046856,0.7222816722324468,0.36185048908017997,0.5376698735818765,0.46104723089024147,0.4016072922133506,0.6363716446208993,0.6947116039596009,0.48065104823559335,1.1086828340990382,1.2181287607973623,1.6166664275597427],[0.8766405014453551,0.5175083253157342,0.7492535816709955,0.2968480998251596,0.3418149287451184,0.28927641652171215,0.285022135309482,0.33930715591952826,0.3729599493581448,0.2771647817328014,0.3153457229340696,0.3927537530641139,0.2878106730245608,0.31686379745051263,0.47393682096872347,0.36456101306212835,0.30134279155663835,0.34242133478985753,0.38902348348707455,0.3752624183642801,0.44095819548038595,0.5985160911987718,0.6572155405865167,0.7726260003148107,0.6242857317799759,0.5247019422740424,0.4308618185374999,0.3488607668861388,0.299126819476373,0.28871149030488363,0.4098765392419523,0.3618213471128875,0.45111468754441664,0.38598874292500923,0.33051156958106404,0.3244618508238005,0.3346329598495224,0.3290461074065698,0.34525791272944245,0.39337786302174715,0.7533322435654592,0.4739033098837609,0.4472408843093398,0.5172881178855245,0.8435043102956077,1.1140702664291695,1.1375717403412706,0.7865491601694996,1.7451355534483797,1.6082047103388648,1.3339606356339624,1.9315798051201472,1.6696447714064109,1.1210825942983134,1.2095401612760899,1.0619306211483739,1.2340660673540893,0.7185220303029769,1.3064571365584912,1.0119141275532284,0.8750655942012365,0.6835666975781242,0.9470209296417876,0.688079198250668,0.6963863619388748,0.5352534826150462,0.6688607184998742,0.42907622660429784,0.6424296884208879,0.5918328889139784,0.9085764494371341,1.1031797794974665,0.774918212234543,0.8208821550612907,0.5296277931259015,1.0198010298484708,0.4390324026076671,0.41967008522297117,0.39859760081405765,0.4407467336411636,0.3652174901492052,0.47593387579111884,0.8883367843605864,0.38134177037642425,0.4528895523029511,0.3408374264479694,0.34578101196856065,0.4619719634635514,0.36631531214102414,0.4451280367651562,0.3788057130615077,0.6381102936311623,0.6180011597270171,0.4968933560007542,0.47431620715998546,0.5921763538192489,0.6124722917393238,0.4686431524913831,0.41843950860880574,0.6272310942444019,0.40418830790578064,0.5135126063371573,0.32208230832935825,0.3854291361680925,0.4042778872597861,0.40632494631337396,0.4904309729449693,0.5990653287493986,0.5670408529196398,0.5974123478389071,0.312978571634011,0.3080249656166864,0.2570686703877966,0.27530663185207416,0.2508282727706302,0.2946770660978238,0.4477647359595955,0.9045533398672367,0.4922889441898637,0.38660031645622484,0.38987858034093853,0.3426190156083595,0.35992404810726353,0.21327321994244947,0.24729893094271377,0.44377771634307334,0.27383322612734406,0.3628481001672111,0.3233066433325657,0.4088848371314347,0.4278878778601954,0.43823035974779145,0.35800257197409646,0.415710075618808,0.36061381662517383,0.3649381023639169,0.730756350932732,0.7762415007826818,1.4843603509732908,0.5725021373550631,1.8947378586890287,2.0384563717897497,0.7866538096977752,0.5957955692129354,0.40688596175667757,0.3040933436561875,0.2888535484403807,0.29165998233621193,0.21879491771573445,0.3425354392778625,0.4220404312947961,0.5544750098206511,0.6827070132130625,1.3843659739332066,1.1387847347938989,0.5062358587377941,0.3855339980062155,0.3943276842335629,0.2771533681518451,0.31286579796580954,0.30876621717944436,0.29246984565490375,0.35055474680872956,0.3513067724806526,0.4403622538833449,0.5719886670099994,0.4945466738013893,0.7072782721455578,0.894907319709251,0.8299534664517575,0.54035510601667,0.4087717986675668,0.3784191516369425,0.3208367206914812,0.2649595113759451,0.32009777406007844,0.3720348969623712,0.4509275516413285,0.3294155950052628,0.3137952876302346,0.319554612814298,0.28942193288567564,0.3268773536378514,0.39315755526489293,0.4142025798180189,0.5855854917577595,0.6454109305952386,0.8327735660703403,1.7347756509806451,1.1765501431968812,1.345148388686248,1.3283137084962342,0.8356574409050023,0.6637970701862678,0.6479872220987668,0.6427883803238027,0.6327217700277644,0.5637785051940659,0.5214695877825353,0.5560187625686185,0.3941833797791784,0.3479707956259514,0.3503460224585198,0.393187406794712,0.3765469576532038,0.4258094608523372,0.6550033748898099,0.46683362848504706,0.5576316076072025,0.5835413929654147,0.5567245915643061,0.646187760679446,0.8054328328658941,0.8076499256191882,0.7563411658906173,0.8307552106667397,0.7307581113507339,0.6682026183411751,0.5401514001835066,0.5797427435488963,0.6254836276410727,1.4906882959895211,1.0026818925047123,1.5035642971333025,0.6693141916167741,0.5962602766086346,0.6613096709018956,0.5842974943410628,0.60980043099284,0.5166630849433277,0.596759599255462,0.6864010117719462,0.8355253019151627,0.5563972874988087,0.818134202953155,0.8185008553463287,0.8211690989434428,1.0434050968477733,0.5569425017623686,0.5507226565197774,0.5343748711376038,0.547576753345378,0.6098250941946467,0.6739443298629736,0.6439796108242568,0.48397056936517785,0.509455831616576,0.6918186825718456,0.5603100792719595,0.48906145843394094,0.6601940907697014,0.8058304257435133,0.6395039686129145,0.6732094135390029,0.8402605081469137,0.9945533414435619,0.8070624219661485,0.7788468082308022,0.6446416625081811,0.5713512974548183,0.5069725715416794,0.48290680277184517,0.5282547831649869,0.4871180342071548,0.4557228107726413,0.4820417683181471,0.5390082857668952,0.4861450789867253,0.535223718105746,0.8016456094627542,0.6687551186359533,0.7036482585203481,0.7474349397268873,1.0071733027180032,0.8994148788353851,0.8991339316372873,1.1529809482307791,1.4248976079376774,0.9330625252349215,0.7960859226991812,0.6213028186783256,0.5377548523507938,0.8850426712125595,0.901496462566372,1.0773877655071544,1.4877103177168305,0.9867602545508151,0.6535522013292346,0.4728772856274741,0.5129122400314063,0.4863798193832112,0.31418790079120107,0.4152369342077171,0.760712726425119,0.34103250471950836,0.5212149541663681,0.46591439506422616,0.4172714930884227,0.7048624097585644,0.7107477165716127,0.6388455256590958,1.3389131369055731,1.548683352179508,1.9162880922968322],[1.0666136264856703,0.44904821960824626,0.5837192485067467,0.2875239708240988,0.3774989335633851,0.2604672353839268,0.18121680647940627,0.24636234752574285,0.3211026557825535,0.2891487845437019,0.3192103029969554,0.4274847578367584,0.3167010995176789,0.34019080527941953,0.4119220145429495,0.3624180657370871,0.35955895138676003,0.40441482751520935,0.43969221678411846,0.42418380935245836,0.46165191603934147,0.6023320702471293,0.6406757158036614,0.7232099428876745,0.6195470079559317,0.5191389743130461,0.43410120940836755,0.3874692603142834,0.34007755452245775,0.31688424619161004,0.4075583152286572,0.41638997985777615,0.4668665442717548,0.44300798290955307,0.358040133188721,0.34501425045500966,0.3702720492615129,0.3689951833063964,0.3526016963835692,0.3916876069847508,0.7455351924797882,0.5001868304942517,0.45253426945860836,0.5406523902210711,0.8061040674628452,1.1080920859251415,1.0663459007066918,0.8173896152314865,1.7802180447629437,1.7377321529888323,1.419820384514652,1.9342889056253376,1.719405275529889,1.109840781842629,1.2443203496967497,1.077488801401798,1.1615965414015064,0.6912968922797897,1.3602712972967919,0.9581285769007645,0.8192292589259464,0.6649237170933284,0.95250160194585,0.6836782342640275,0.6919998726852811,0.507518725329616,0.7244178685207101,0.4980132278430583,0.6880445688315875,0.6624569268390751,0.9788570314637407,1.1943373489387619,0.8743732471259208,0.8486761064398491,0.6099767212586736,1.0563131787765134,0.4863951399104925,0.4521982107587369,0.4180599434832142,0.47489215499717236,0.39970051161773174,0.5036036049179696,0.9079654064779976,0.40438124308659884,0.4575175726168649,0.3706742027377501,0.36383255479484994,0.49825175509147307,0.385863354439355,0.5106275053085869,0.4297073802934921,0.6031697699276809,0.550129419400038,0.4930429601180731,0.47629293055279714,0.5836414818338851,0.6171293326622997,0.4715035669650326,0.4322075292279337,0.6137897544868914,0.41586022095800385,0.5159690399483811,0.3553435146251226,0.4060571884320143,0.422750546672623,0.39303092377385895,0.5417227021132643,0.46306788299868684,0.45097010699048884,0.6197988481598354,0.30281261525123376,0.29627299615853364,0.22325323526154792,0.3414049000290323,0.33334315641746604,0.3344370273407445,0.49935625684000506,0.9987221417089422,0.47871327594141627,0.44943436690303645,0.4309389240531693,0.3885086753715935,0.38928446227867797,0.28822838665755934,0.321223335873042,0.4022824025131408,0.2985315466823911,0.3184364806429154,0.29198445675191026,0.37438958349198864,0.3294409305169315,0.3611559846099326,0.32888414879373706,0.46151132016978447,0.41162667095303135,0.40770918777205223,0.8706619484906373,0.8333357814318381,1.5850498743295305,0.6419679694589349,1.8543835117518461,1.9121574049792225,0.750690547811705,0.5844040647484656,0.40159181265864646,0.3523854558710662,0.34227280098617485,0.3490403156148083,0.25534492847687124,0.32058209607907134,0.38168746966790423,0.4777128937025399,0.6937245440330178,1.3434246495395568,1.0457096001443007,0.46026597392569935,0.34303969190159145,0.36319353440625746,0.29619106724996086,0.3359232509165327,0.3141930768179168,0.34806922782791966,0.4103107826066835,0.39228891516041214,0.46745180945383497,0.5989476248514012,0.5596401081318924,0.7479337694645536,0.9714919716855,0.8905005150592781,0.6362620624492483,0.4777241595972237,0.42935890270301635,0.37542535787411563,0.31577727542528433,0.3577771594541581,0.40769890761262967,0.5228425899969779,0.36241399337980834,0.3390772703749,0.3671714071342635,0.3592611195025395,0.3911905042758008,0.4082678143764699,0.4246749306621269,0.5796359591325695,0.6241017379126772,0.7755702805946812,1.6445939970621053,1.0226733920384685,1.441638890772597,1.1283135358298175,0.7787704643390028,0.6207265725964529,0.5426997803616832,0.4978955939663489,0.5848988161234603,0.42507459430031486,0.4304009992132667,0.4263200693952519,0.3857454546785863,0.3859638459483744,0.3500169979646901,0.4736141708163056,0.49594377438197,0.531490727982709,0.8011683065687363,0.6069802924122342,0.6967356327576244,0.7024764851117771,0.6703344114148635,0.7755922580507668,0.9085687454573568,0.9045098708094935,0.8310548645510935,0.9508685824634392,0.8319098094259517,0.7809877549507286,0.6502223804351775,0.722682388305293,0.7623576635712618,1.6045633070521712,1.1274506002842253,1.6546616218606365,0.7853340833111602,0.7054175574538639,0.7102607424533975,0.6096419660065632,0.6893083903676276,0.551362584082906,0.6076522820724588,0.6668268891073024,0.8617463476367313,0.5378726148911321,0.7184846030021564,0.815012159720716,0.8424139878815609,0.975416574851861,0.5345421677036368,0.4780219741348854,0.4843336366902022,0.5411743510358338,0.6050326803408625,0.7161522551578847,0.6544930917527434,0.4928186326896996,0.5815992922021317,0.7451146055053949,0.5989670898906844,0.5899692855402596,0.7545635389376676,0.8718146840425521,0.7421324388336306,0.803154830280818,0.9332904167219739,1.0658329218375044,0.9330558588203818,0.9168287780027314,0.7985395073070326,0.723348033157513,0.6399805234845933,0.6240164379633948,0.6832542375944626,0.6383798033337917,0.5871575614766222,0.625197852894196,0.6620969581035284,0.5917617993995622,0.6310724634974975,0.8294749065116621,0.7073692460905743,0.7739730174199504,0.7587989172006047,0.9598071083245417,0.8663693566365825,0.84452824275413,1.010170119736858,1.286899542047948,0.99154504097083,0.8283553535325084,0.6795910726291805,0.5891910960129862,0.9444323794466144,0.8638238936389524,0.9621074024636269,1.2761875870230246,0.7251078491210871,0.559709280298507,0.3832383838647411,0.6795693896647561,0.4958055031714068,0.3367624897098184,0.47738215532774086,0.7465677958059271,0.36674792877301904,0.5581685689347194,0.47574836515819346,0.36789985531502006,0.6971596438252199,0.7071349732506247,0.5210714682316052,1.1525268754473688,1.2330315142173751,1.6918824807475437],[1.359748256920856,0.48773820563489845,0.4518175431865215,0.3881786303450254,0.4003889779761036,0.3206197834709743,0.2106356849985144,0.2592234763525271,0.28223926964576573,0.2770385648633768,0.33075390498841795,0.42734734949394054,0.3107732117139391,0.3200558073352811,0.42450152838183686,0.3717218127646957,0.38985614665792157,0.4633318340489611,0.4664542050144203,0.46637289041376256,0.5145271254929371,0.6233165752643796,0.6358270319619329,0.764155803639433,0.5827687533108937,0.5326065528682734,0.4626876411146651,0.4228033755637353,0.37781506225935196,0.3523701369063007,0.44122333264651203,0.4398293768302983,0.48459944048453585,0.485510837642662,0.40116245005421514,0.39885555133519335,0.4006241702461993,0.3816902252230959,0.3704102530395754,0.3747732355723273,0.7280108030232212,0.47537322131615456,0.41816487163031624,0.5447004089020729,0.7334645204101077,1.1004540039444608,0.9714436006785472,0.8793748818129833,1.8967543911183276,1.822466004415009,1.5180707098343655,1.984434136203359,1.7534040026578546,1.1256861101292839,1.1898307487562052,1.0033537341872671,1.083050065873185,0.6175079432315838,1.305838284715191,0.8537002231007781,0.7790468942286463,0.732959928868919,1.0612129314943985,0.7694885769550881,0.645776477834438,0.5209950193680133,0.7731470611755508,0.5693540010188844,0.7393374210551787,0.7147889996021062,1.0716701386472123,1.3165696966375824,0.9530996618324028,0.8859862615264593,0.6610707748861168,1.1095926569856311,0.5443854539701559,0.5102796681403083,0.46285855942646403,0.5108613849505079,0.430111861457424,0.5069413742195171,0.9642137170362381,0.45509892699776094,0.43314316208017883,0.40364752182253766,0.4005217170788804,0.5242015369938201,0.43563289408286493,0.562672382118661,0.49371373494250037,0.6078975869997575,0.5574321224065021,0.5134697280595452,0.4871246225652408,0.5822398023641364,0.6113632527397997,0.4816973760494678,0.46028208605232235,0.6762043549710443,0.44593767626587255,0.5741309172275809,0.387894361594002,0.4380718241775481,0.46085114512949193,0.3956965759882535,0.5585219411685947,0.37714579938358717,0.37784939376232346,0.6337370416713468,0.30078296180884384,0.27258975858731455,0.23135879249632949,0.3180284953197971,0.3495663259067603,0.33527135034191197,0.5125625761998772,0.8411816920956512,0.4692239871474612,0.5098340009101002,0.47051810624307944,0.42048523882112765,0.3611626193829153,0.2808701287663051,0.2893489100150379,0.3625214297447531,0.29510874281053345,0.3166535586040378,0.2649817108370931,0.3686297761352698,0.3109866890515456,0.32441463648761226,0.31481342091837083,0.43670987743015893,0.42007383089869393,0.4058047233567831,0.9224456247393417,0.9017416633982518,1.6647855026834661,0.6362246532979441,1.9993548934063536,1.7131957670054203,0.6999416384738725,0.615776799595824,0.3973718695312788,0.35863410933856715,0.33879454661780223,0.35247577116672957,0.2613675185883207,0.3270008098587489,0.43082185387891,0.546285807130205,0.7629161840633952,1.4721053129614465,1.129355495313797,0.5267692850751156,0.38536618812365425,0.40897559479607587,0.31542698404096975,0.37691176454367464,0.33370114255524225,0.36408610106902756,0.3613537338659501,0.34046934720563676,0.4256625838617928,0.5172239197847025,0.49938902937389684,0.64775939277751,0.8975342249340126,0.8732164025951805,0.6138511556294304,0.4425694929556717,0.41592052217274733,0.3634599920876338,0.3018455292460525,0.3680594514198802,0.4041167738203356,0.5688283554428722,0.36198042172584133,0.3751749265493765,0.3432671346479842,0.36355535877080014,0.38111067856855385,0.37396994313415716,0.38982530556600503,0.5272174528056994,0.5680067205604235,0.7327498549959813,1.5508713879479774,0.921073670781814,1.5408631114350435,1.1256240270986928,0.7767620587599193,0.6178174497806533,0.500914622499795,0.42190948977426235,0.6053311459309869,0.36197041956189074,0.3998092714305375,0.36853111606645433,0.43255717240610697,0.480820238206445,0.40447594613076987,0.5402772740540525,0.622247510689036,0.6617969133092871,0.872755246908458,0.701359049715594,0.8512041114499219,0.8021790195686697,0.7617058405797388,0.9094275403679042,1.0427235166835087,1.022512225369933,0.8945839605080742,0.978481021414517,0.9524867057109133,0.8290807035596629,0.7368281501520256,0.8516675177711872,0.8588384775506072,1.8451999274810378,1.2177578526168154,1.7833794656891617,0.8751521649605757,0.8140529967032918,0.7876544860654665,0.7115943588028587,0.7512900124947802,0.6037488229349246,0.6831647615529989,0.6670079500723294,0.8582944710094087,0.5501484521882157,0.7873312974746483,0.701435708029814,0.8018347883892409,0.915396265492017,0.5198562831000604,0.46486551953574834,0.5271430755284864,0.6195828043455649,0.6769719323455777,0.8745587347534999,0.7696848789388973,0.5945357073382703,0.7454552663067557,0.9349429692367904,0.7334754650264316,0.7730140971213117,0.9568410160669962,1.0479760168364873,0.9294945833720092,1.00449306688099,1.1400637845641928,1.233622199563483,1.1327352190628888,1.1281668806940341,0.9737698931333095,0.9074391684101518,0.8170810396110288,0.7861094008707387,0.8297383573743915,0.766681098166723,0.7090303244436229,0.7305192172178655,0.747956920330695,0.6524472279953293,0.6709416481024151,0.8247453670662869,0.7207389253761066,0.744426978127691,0.7527754531931601,0.8918357227345473,0.8263717126731897,0.7900136178195858,0.9265146987171645,1.2199692649685674,0.9695718702407995,0.80123129140677,0.6821049375293736,0.6083458978620027,0.9485605800015625,0.8236641639004879,0.8676719057077773,1.1608931429417786,0.610983531362372,0.5363021036758058,0.3581095266549204,0.676303065372433,0.43809313330525473,0.3998404464290229,0.6015278652062197,0.8243836574621333,0.44086193212372443,0.5863915380775852,0.5482728829525143,0.4226739790886431,0.724422134748048,0.8355045252693253,0.793867201004127,1.1261207201013614,1.5285057360952634,2.0370898147030565],[1.4939629116976976,0.5384453482300859,0.46242938708264447,0.44297664942306375,0.4589807958627251,0.3701786922446229,0.21348461935305835,0.2846994576072042,0.3080834649794248,0.2955932424322093,0.3513646517417911,0.4737005671853933,0.327083455675966,0.33301874313191127,0.45133064774538323,0.39946007418450713,0.4150861070096225,0.4816596439412905,0.45574238297875774,0.4562900094706198,0.48583020478307287,0.6158659608078089,0.5927024203155766,0.6906082298886037,0.569155672417637,0.4928082437903697,0.42726100035293546,0.4062743907855355,0.3927774818723968,0.3604980325329208,0.47606829385107374,0.47022702750877604,0.5021401878117481,0.5073758383447342,0.4215567608944739,0.4114135975572442,0.3978645228996285,0.37412964666218723,0.3492442294104464,0.36575589834571864,0.7139377765320131,0.46881996364739364,0.41192703394741426,0.5812350981746859,0.7436202418253854,1.1519269051069523,0.9975606278532232,0.9099537940275498,1.9192108634833005,1.9540281624564138,1.5937634087755257,2.0019576045831133,1.8195317920908485,1.1039383638629034,1.248474168580027,1.0648575770602433,1.0396715600584039,0.612086743629089,1.3633360818169495,0.8391493192334714,0.7263034434220489,0.6934957717132252,1.055865800720773,0.732244802872545,0.603337846753424,0.47004227153355943,0.7466659446562555,0.567981649584952,0.7265007472954488,0.7421831848747328,1.0923402299542069,1.34276574449195,0.9965221224946916,0.8826421477471014,0.7123380189913936,1.1190270374279365,0.563853775387702,0.5504398250142966,0.47607548703223285,0.5177766059764874,0.4325034293378805,0.5112228933947569,0.9328359321804183,0.43737269584602023,0.40050562160822095,0.39971248462716974,0.3953217734124907,0.515156041114669,0.43143672910726116,0.582651014521584,0.5278001816627342,0.6408782536456497,0.6009464992863138,0.5679604964284767,0.535713383217152,0.6138273026797001,0.6579567595022324,0.4992580927945198,0.4778602978079828,0.6643325249669133,0.4472582655941187,0.5655896157126716,0.38520960963774636,0.4660411607966406,0.48753201048854666,0.4326201656702199,0.6310653501315642,0.38088023990076497,0.39801449092948016,0.6293865155866345,0.34023427566899933,0.3145501080195349,0.2534994927040441,0.3404558926602713,0.34680252664721456,0.32220717602412563,0.529897869330469,0.9747058993322453,0.44142321272078,0.4937779767643428,0.45272403601173433,0.4103816036323755,0.3610179216308275,0.2877521280529429,0.28677511048755355,0.2988877315586544,0.3466885824596466,0.3250030719917988,0.37376465303913736,0.4604039562923808,0.4130338929321637,0.3851639441479039,0.4184008208913219,0.5226104606555028,0.5452988246135658,0.5106702593162447,1.0582357602701302,0.9934515390683731,1.7444487933242743,0.6976723721646579,1.8856717166825316,1.621424342167518,0.6582565021571828,0.5680040712361425,0.36381800955911137,0.34532212581850463,0.3276441499149021,0.35730003550028416,0.26978983061265926,0.326312575828474,0.43065705184754616,0.4681351887091362,0.7548451102215122,1.3911416277319046,0.996700864755288,0.47233119290025116,0.3662202507714849,0.39945631350268473,0.31316909111710495,0.40496257401647484,0.3213983470647198,0.34419627331160463,0.4064836075738663,0.3640070467770838,0.5043357460567709,0.5876058286740511,0.6143086312546755,0.7567466127996605,1.0210655615491158,0.957041944799287,0.7470788504942497,0.5342866151895544,0.459529838034666,0.3878156292898496,0.31055526584227666,0.3698467805129714,0.40055923781830916,0.5910200873130197,0.36097767996309027,0.3841912520201066,0.3637675439783211,0.4082802583646395,0.4278433301858068,0.4073961085174765,0.4116513633675342,0.5217956982371794,0.5514891939149332,0.6939327362531039,1.499733548769526,0.8144374251122001,1.625119781301798,0.9652978294652506,0.7739539088734826,0.6604205746640754,0.5392855048042392,0.4875308771955925,0.7299420133972371,0.46459236977944973,0.5097914662726711,0.4466239354609946,0.5977982249363971,0.6256723512151312,0.5271074290693059,0.7029469623666359,0.7765845023495269,0.7896369986633527,0.9983835030452297,0.8542376993459365,0.9792010300816741,0.9226523572848676,0.8900533170264604,1.0302935862648903,1.1308959175535735,1.1269347662915783,0.9788254003730987,1.0724600346783977,1.0682349212985645,0.9837602401337597,0.8942662775694912,1.004925866478442,1.0102955712906323,1.960685256531487,1.3593724247696932,1.9081627279129294,1.0203619839736904,0.9468739076106083,0.8917559470614366,0.8345380623378997,0.9088764813023817,0.7671353322132186,0.8345403581271467,0.8034954388770507,0.9844959348326093,0.7133645413975137,0.8739186844142435,0.8296528603504807,0.9294218898032597,0.9595548825583,0.6523379837316053,0.592328600759125,0.643547931915243,0.7487139866040577,0.7639895187377828,0.975407333547949,0.820646000998874,0.6907168467055562,0.8378727708343047,0.9758266493015794,0.7994306242186051,0.8614120067753982,1.0119388162567824,1.079873141896408,1.0084613051657936,1.089575267418872,1.1938739035116523,1.2865111370893692,1.2196835195456737,1.2120014540436055,1.0936997477995745,1.0325785305646502,0.944151174302816,0.9311306694155834,0.9821279329027245,0.928769035023507,0.8807112064061551,0.9098218261545751,0.9239652310851175,0.8339849085127955,0.8519548628083615,0.9656163011547144,0.8751528904827215,0.9044051599458217,0.9269782122876642,0.9990172584474346,0.9485737171535725,0.8582230575775294,0.9042713362840973,1.1279903354323009,1.0413516923137243,0.8582654294019774,0.808199768610814,0.7035935892737493,0.982975885707624,0.8368690678585645,0.8238968564312842,1.0153637588606619,0.5771040214845156,0.5063024836529979,0.45423684659954583,0.7917705821494027,0.44591601914097434,0.46825803487404305,0.6708786235058665,0.7975602546267091,0.487172935503163,0.6354536236239373,0.5978679184482694,0.4418539855235582,0.7569018907355766,0.8579534664710848,0.6812782599015575,1.0543828777771909,1.1814271263630851,1.776790994381714],[1.622927692385204,0.5437504548980372,0.6182614378535868,0.5285648844162819,0.5632606364638336,0.5361300217786078,0.39123490965008567,0.3718965422537038,0.334574021640966,0.35783060480514894,0.4178015284491253,0.4740876567483583,0.39355268113167485,0.4107500647001392,0.5753351309350148,0.4869013768862026,0.47738349975142613,0.5821141441275808,0.5952205788912073,0.5589015604569709,0.6283003175306854,0.7332089629093265,0.7010354544063305,0.8344842782511429,0.6368994133569538,0.6344316453548204,0.5392744679664837,0.5140234366763832,0.4641627477231381,0.41887240552853056,0.5512964051088016,0.5239253787857312,0.5653219097537663,0.5815600148607477,0.46943703316607066,0.4732973258365225,0.45588143108941337,0.43179718183963733,0.4173366262678305,0.4318989366973562,0.7169909376474412,0.5482633821827775,0.4740394381165313,0.6647388587911469,0.7456914447283048,1.1846670492409617,1.0019871064105186,0.9964819573821402,2.0077970664195712,2.0233214087175275,1.6745768105360648,2.019531179916228,1.8265381053403558,1.0867228367514237,1.2933988264518197,1.0817072757303832,0.9694626212643549,0.6333106693599495,1.3825031980227431,0.8136420683749376,0.7100109744001235,0.752356935797071,1.1284833569952388,0.8659886959500613,0.6587541545272052,0.5214169250272551,0.8564210897022239,0.6876957004476599,0.8592491485762077,0.8879726836106304,1.223180880405617,1.5380970067006419,1.1599415972507003,1.0332322056307384,0.8271711523213356,1.2125118342037366,0.6600849524578297,0.628709730124201,0.5463677621474463,0.5802455104483805,0.4919954452521442,0.5607221610784321,0.9651625544013681,0.5439370240344632,0.4785623761514241,0.4585838509554875,0.4530479070756866,0.554238966174308,0.503269018291448,0.6405700233418404,0.6279048413629807,0.7405316991996435,0.7115197271760558,0.669293458630356,0.6155132959923113,0.71467862802747,0.7377841194500303,0.5590288391091355,0.5325166713485874,0.7578440659067486,0.5087102025283963,0.6576300221171,0.4833312967033245,0.5840900968902961,0.6062019268806073,0.5526877277857347,0.7979135963993919,0.49408175298083606,0.5331555227138325,0.7596009362582089,0.5032539553800532,0.4177325004424738,0.3767280411316154,0.437007879251869,0.42142322555360523,0.44366944317737206,0.6123731911579905,0.8939173617627418,0.5584968226398628,0.6144208902142664,0.5758003880858914,0.5371918033111802,0.4747706907064183,0.41625788724699964,0.3890738691840446,0.4400998150192732,0.523056426780923,0.5125728636104808,0.5704337354173799,0.6524006458311616,0.6370630749740865,0.5709556768911687,0.6285856839933256,0.6897273142471484,0.7369472493053251,0.6949398021433132,1.202530261617045,1.145303591569815,1.8631604344074013,0.7823918576439051,1.9811927921116368,1.6228355970897506,0.7027737430499479,0.6444617331694873,0.4467178378422085,0.4281715916011428,0.40767639579553694,0.41297027111859913,0.3735144051920627,0.3987659379935942,0.5298063556401735,0.5602945492094608,0.9344536683403151,1.558294739917259,1.0479059471760035,0.5831541539609174,0.42694892437289467,0.49113204280318234,0.37995181293855457,0.5255194445310741,0.43200606812835957,0.4170167655252532,0.5037571778985035,0.4537720523321636,0.5855253006187416,0.6995538584951644,0.7461586148141242,0.8775924925833256,1.1465508210456796,1.08903543392786,0.8917322818839005,0.6700838325917483,0.5869085374042203,0.4968500675795261,0.4142669365809839,0.45994734887748273,0.45714270435934373,0.6442422086345967,0.4514042033222858,0.4605295360769399,0.479926879771983,0.5443129393467295,0.5816480545035889,0.5725102573300743,0.5733622991802981,0.6336454360016102,0.6158557402493252,0.7753592322963196,1.4858531159919857,0.8381193601107769,1.7516092814818338,0.9933929571585365,0.8623544692354257,0.7883028108624974,0.7228885208268292,0.6975238211422053,0.9250101251826037,0.697082200554708,0.7549802015834477,0.6811934470146694,0.9058172094168009,0.9456911613771034,0.8041650945859671,0.98363313735655,1.1158635138101058,1.1045820460379985,1.2212442866706978,1.1767405737935452,1.3615588972921326,1.2405509123890157,1.2171885796002448,1.4176028549114863,1.5010123381365514,1.431806387375831,1.31246709548168,1.3507790498050305,1.4352611618211102,1.3045598356336066,1.2369183235914458,1.3853398246297792,1.380422263819155,2.1952369727453642,1.728625422269673,2.265832845180108,1.4002942604337854,1.3106818024042142,1.214262645552294,1.1842007454966703,1.2395928552766768,1.0957343046071124,1.1335965903692948,1.1224907193993485,1.2573711216169257,1.0047334628757547,1.0838028172786753,1.0435366408146758,1.1395937379133934,1.0842954467966375,0.8893565853975329,0.8560140346503534,0.9284705017028567,1.0701724113314055,1.0766289877065491,1.3362506279862856,1.1164219118128087,1.0125408964686171,1.217979945483552,1.3077501862970868,1.1173150418835414,1.2332914488178701,1.424385966277635,1.4699232144340706,1.4021795451131833,1.522338550070237,1.6347341110283238,1.6823760199892912,1.648585241767169,1.6679580261242364,1.5309447927296782,1.4737191264024803,1.3559313827831152,1.3459965768093656,1.4032623629053664,1.3111211333294257,1.2570988488475943,1.2903104120668512,1.283856340511126,1.1602472401890167,1.1974044875731047,1.2850656271690293,1.1757201397847212,1.1776260438679946,1.2249632246211202,1.203806035962583,1.1777542721905778,1.0461568497942833,1.0378616600500483,1.169105749193419,1.2412306580939476,1.0276984042505695,1.0439907607776981,0.9099418688567875,1.0859991243338254,0.9505059745737744,0.9291533535408185,1.050690788743737,0.7449264022181813,0.5647758432454654,0.6862629175455265,0.9647664924911713,0.5897016289210331,0.7176209967285597,0.9675486622666911,0.9778832886262577,0.7150949707730497,0.8686108717136202,0.8715449413693074,0.6345389632941928,0.8593174103820603,0.9105450833831342,0.7244588943720005,0.8367658794963736,1.2053931705562535,2.0238382867090565],[2.4054409763547997,1.2486722662044385,0.9651031524391618,1.0200497044793069,1.0936975603087105,0.8705400001794135,0.7815424740150844,0.5450960818383253,0.6596738684769199,0.6916856487872095,0.6303033639221911,0.6080740037557582,0.5868039421636255,0.7080216680886129,0.7827029432969788,0.6869595183429518,0.7743708604760937,0.8202592318458795,0.8849224241702983,0.7920939800428417,0.8997945054347913,0.9686052330631136,0.8994941192592005,1.004131217956531,0.7899384539700047,0.9125238494111771,0.8527612343869733,0.8439755650120763,0.7081189548420133,0.6166227244699322,0.7196730707299702,0.6284659306864432,0.6557432852130851,0.6712487964207878,0.5841830055315785,0.6490245818296336,0.5739999731742623,0.6279600518459595,0.6253945218530241,0.5669377897756028,0.959274792114101,0.6872591369942351,0.6624213042714416,0.7190199598851346,0.7193886677366934,1.2706234766737197,1.078401679572847,1.2634545921399702,2.1361445753802464,2.2853849775711583,1.9239431131151594,2.265647900329528,2.0650670378452207,1.293634469627589,1.3782831666064252,1.2498452600049437,1.185953546640611,0.7886461527054749,1.4648488352356595,1.007330213885484,0.8755343387098373,0.9087077213195931,1.2225056830540098,0.9442086383175398,0.7897516889305328,0.6856841158582273,1.0137596146045247,0.8570975746528425,1.047483713032182,1.0950577335463156,1.39587405693807,1.7143623533518337,1.3341931572729282,1.1768497445683688,0.987844491668253,1.2658655529176157,0.784327757165862,0.7337668611867174,0.6571574329658683,0.6537678363244341,0.5833599858472942,0.6901168064474853,1.0324855168110585,0.6466492735230419,0.5630899765890556,0.5788510964345149,0.5957290975383716,0.6637295726788914,0.6422939159482529,0.7317361750000967,0.7473801187733866,0.829623652197003,0.8156299177446253,0.7748362541292747,0.7400653617858208,0.8165974715569564,0.8894319145059646,0.6550131469713717,0.62764913639735,0.7773268370913559,0.5701061081344736,0.7119712197273167,0.5486052211373299,0.6467446578433359,0.6867029102726672,0.5935080165330806,0.8313177479510074,0.5487205593209216,0.6007845292261433,0.688898214723858,0.5260768338086615,0.5753873506713898,0.6288182574874946,0.7466467514558549,0.8004101214833045,0.862248199336935,0.9666790699260194,0.8494651946015076,0.8788800957246589,0.9811781495573233,0.9540133271000703,0.93865120637202,0.9311542851880091,0.8827021385444713,0.8764876239810148,0.8246551198004569,0.7030901573672528,0.6157189556551729,0.6214895907827085,0.6650943505829976,0.6532470829383464,0.5991307910885265,0.6322339406198739,0.6682036107132289,0.7319776982348004,0.7048733410766423,1.073981982876594,1.1766368980306303,1.7067465078803887,1.1177484051935977,2.2677922270907835,1.9134059644127013,1.0426433717071364,1.0438775694071878,0.7996689726724312,0.7522524969960751,0.7593794413947477,0.6718138886215193,0.5516832267703037,0.5605106427513519,0.5466271460483259,0.506632362950787,0.9805785818943711,1.3873112786320707,0.9042199867035151,0.60306223241976,0.4939118991200408,0.5289819709498835,0.4905222234381491,0.551121339971744,0.5530143767132942,0.6022248840009748,0.6255427659637778,0.5754385557829672,0.6887938283691751,0.8166220751862491,0.7930692881315153,0.9283914491634315,1.157725943690927,1.0923623189603362,0.8871346787222777,0.7338566764579532,0.6558547225613266,0.6019703681396472,0.5182379364993568,0.5060670372110148,0.5314728868365192,0.7593700865490036,0.5216356997320344,0.5701530660042932,0.5233385859504227,0.5658800371131172,0.6016136695805712,0.5860255162770004,0.5685633047127083,0.6148609657949874,0.6728207308067685,0.9162295185209262,1.5414923194903607,0.9178768550250641,1.673702750328754,1.0136025493200218,0.9099293597035271,0.8413959692377095,0.7210552615699292,0.7402627055630343,0.9034182206007999,0.7195363288886405,0.7621644025359698,0.711400352544176,0.9348571592572233,0.991577188972423,0.7826326204567675,0.9512404882829588,1.1534095303366818,1.0894369616828001,1.1250672458931803,1.141001742562756,1.4368119193957591,1.1441498535900714,1.1284315834953793,1.4141700139962565,1.4680604321498276,1.2864290137641639,1.1971229012733453,1.1860186424048007,1.4672671429397517,1.235808609663222,1.207974725937868,1.42550512112139,1.4285881122141264,2.3215127571144234,1.821534579447296,2.4410218541276816,1.5374198099901975,1.4776641577672693,1.3526040565422823,1.3232743520384453,1.3497061762975182,1.1657699934527586,1.2270345759391281,1.1824583724786923,1.2836267413965887,1.0508874251721647,1.14625654116133,1.0238585760029366,1.1158614084641718,1.0667030390803343,0.9088674251634301,0.9187638962591828,0.986395485949687,1.150088700795495,1.2019364928344192,1.5601230290401271,1.2809853127690665,1.1235829421900105,1.417263716136403,1.5106908602193345,1.2434225076874028,1.3784072786662251,1.658850506475478,1.695304933246486,1.5489780609312345,1.747276085610011,1.9166172280886893,1.8939194627028682,1.8237969468366195,1.9030942344656163,1.7027443084371356,1.6841166820605162,1.5369496121434574,1.5328459876397864,1.5596836505233105,1.3899749554261882,1.3576317417027317,1.3739584975642563,1.3248332024464506,1.1744340052588258,1.2469235158258507,1.270161301299099,1.1424994531612265,1.150260312743317,1.2149531792953647,1.17606712596873,1.1229780891113519,0.9744452492546238,0.976307070630495,1.1235320441476968,1.125564331428024,0.9584978384081478,0.9447993821623814,0.8723254047107561,1.195530803893652,1.0349803514092863,0.9992021100026227,1.1309552594189636,0.8070374509215394,0.929827825207012,0.7013328373726686,0.8609527656463158,0.7250032063714632,0.6840981032922764,0.9837469676570595,0.9384708732694896,0.6128072122304321,0.8077727840222312,0.9313442529360112,0.7369146701591294,0.794983144198581,0.8653795353083752,0.4176549543903567,1.2327172638213184,1.3030456592141335,1.8205463704907314],[1.8349194320141544,0.7082857041399231,0.8104214417818262,0.5095957389786449,0.6282835352849528,0.5408097471095566,0.39933406717234776,0.5158949317986918,0.41631186880030674,0.4377093371104653,0.5510254247981073,0.6563863841800247,0.5608585619148306,0.5260482704709527,0.8098282562268522,0.7398782224896072,0.6694717281647162,0.780652663824628,0.7466688287344376,0.7275759366163432,0.7937472683331784,0.9081383095400132,0.8302254633599562,0.8814272206105568,0.6860400620673223,0.7285290932172759,0.6484390246071833,0.6341238255568346,0.6455939618415641,0.654706059259052,0.8589015141850136,0.7901897341971957,0.9018470273654161,0.8953185954914109,0.7832714952895601,0.741449839748046,0.7058417791912232,0.6381835432831033,0.5777802937712455,0.5946102283331159,0.8251244081793448,0.6905667945850612,0.6606730424362658,0.8364531341750897,0.7643523923052735,1.230085704242849,1.0233735766050753,1.1987754240878117,2.115870605546245,2.1970303976700425,1.8954264404794954,2.193879504064377,2.047819589464113,1.263584418620403,1.4733438135077392,1.3048096496738548,1.0556008538942134,0.8536750734448504,1.552050602168431,1.0349921169011163,0.8303343970865845,0.9508384043364936,1.2870727695126283,1.0894044641969645,0.8059533859501807,0.7115789640799953,1.0479871573866613,0.9104638532986471,1.0484115172662336,1.1028499479586487,1.4115620329493404,1.7709055981543307,1.3961199435738967,1.2514773998552158,1.0907690063686153,1.4152072894121388,0.9267021558336033,0.9246109073265132,0.8175364790939278,0.8148540141772184,0.765170455574637,0.7812614921097297,1.1166464860248018,0.7869715702610643,0.641743266703812,0.6731700672646028,0.6611830970907802,0.788146238206649,0.7464517189770306,0.8816672084841105,0.922759916279337,1.055081254182944,1.0516437755796852,1.0167022327753823,0.9273461181544261,1.0257994069033272,1.034025517588266,0.8858576341239924,0.8383793330896303,1.0215081596299385,0.8341571165586172,0.9636809447675336,0.8174029732840674,0.9407229742918726,0.9352875173025011,0.8359345823835849,1.106677718387808,0.8332563638122977,0.8384034983838232,0.9602714531148017,0.7125088840021838,0.5845569442727095,0.480411380922709,0.47615295703634014,0.49860039240795734,0.4644416774537939,0.6791949227312828,0.8102585685948409,0.5952640488549136,0.7446491689267608,0.6390866766786713,0.6007393729483735,0.4702424329501436,0.39116214942041283,0.3666673341701151,0.386846724910431,0.55127390712592,0.5627036579962914,0.7334693979117853,0.9120956842601086,0.8708288150656484,0.8389320568383535,0.852839842848133,0.9459791978936234,0.9096626528952853,0.8174343530636782,1.2908426311327408,1.1866782085077414,1.8068704090237526,0.7868107113577815,1.9822676694887644,1.4818718200043992,0.6934846511657923,0.6649379505723504,0.5374065810128857,0.5656544212700323,0.5127212121866563,0.5871887888934251,0.5474364364418943,0.569770223725006,0.7442865489643229,0.7669567074015915,1.290085138106199,1.6681898269699496,1.1116675922967798,0.9083197385184293,0.7210590070709372,0.8018780835445737,0.6821182135218026,0.7725442497125247,0.6022950987970206,0.6118195410916482,0.5807232345628381,0.5591869250599756,0.688017184232518,0.6853865716462358,0.8062643876166877,0.8860414139567566,1.1761137728343292,1.0744052120869905,0.9513747182429775,0.7122287028097937,0.705646656778578,0.675911512363263,0.628810384394281,0.7235175909430668,0.6796805948120379,0.928355200680436,0.6885265107894419,0.7545116570687196,0.6903841266677052,0.7980662804626469,0.831479196372599,0.7789606133537074,0.7074679782494023,0.7117861789076606,0.6631982515725843,0.8689167351282152,1.4138346275759712,0.7664467572429081,1.9421766533852975,0.9668084585204785,0.9388451914943896,0.9132616909663019,0.8858429622594867,0.9749824026895271,1.181082200890929,1.0059528588474749,1.0623808820113563,1.01562071692925,1.3135726830262358,1.368921928217915,1.1198390089371675,1.3095025594336174,1.5313880109552147,1.4414556147723216,1.4181009423429964,1.5252664497252457,1.7960715772837275,1.4942681772356838,1.5095110041296727,1.8088502991758135,1.8032875793777416,1.6549945038450873,1.611553064866412,1.5630229943458473,1.8929572385945634,1.663613979797831,1.6315682514874628,1.8562266039469137,1.8786130229610614,2.6917295381672783,2.2660832391482306,2.7609315961254133,1.930057391892196,1.8668762809857897,1.7295505966137092,1.7209678546880336,1.7432087143831418,1.563024549428348,1.6085406948651195,1.585876272892907,1.6388106467732209,1.4127914777956148,1.4769447616895468,1.3994647702995888,1.483482286463729,1.3211737168311055,1.2433494999441816,1.2629346155964272,1.3625600765649972,1.5433946546091775,1.5597902816378253,1.9132695493340137,1.6137878466036781,1.482245241846424,1.772809321919571,1.8185365607434745,1.5916507803860571,1.7334841525931923,1.987288860698576,1.994168857917954,1.8653328137758105,2.0773543215183836,2.2156580385335194,2.1556877128309826,2.159263202176708,2.255597916262266,2.077996294064931,2.060330305717724,1.914708043535987,1.9257828100111343,1.9634346788421824,1.7854708060062787,1.7599637804560666,1.7937954303146466,1.735011776496087,1.5707014835332616,1.663066336137704,1.6732732055864576,1.5199263816654138,1.522753145468362,1.6214952371518987,1.4732649338468333,1.438367170515156,1.2377623052193483,1.245076267115852,1.2300393197948594,1.5179001469989784,1.1719165847631532,1.254706064968094,1.0477895229722785,1.1256648297529137,1.002767449994001,0.9535784011358863,0.9788930121300669,0.949643407755135,0.6354310064274209,0.917979674427389,1.032896588109143,0.6616933401343513,1.0253931460439996,1.312998053046573,1.230170320461822,0.8820148815863206,1.03263696681874,1.155825561464578,0.7582235693867182,0.8310558580416746,0.9568674364076984,0.7814496185036526,1.635822471033786,1.820913692494218,2.7188830811643485],[1.7016714841803229,0.5427548209588996,0.5974512834138971,0.4619568780753727,0.5612256290533251,0.5047974952771264,0.34942849357064265,0.37656004052873154,0.40426567383259754,0.4759561953368511,0.5717869286665435,0.5850060622507147,0.5384681477877863,0.5859729674939917,0.8410080328319582,0.736455064646441,0.7153031694341373,0.8583139192162375,0.8634911983068325,0.7999464276044631,0.9048950677190967,0.9605232286414409,0.9528198016965927,1.0342070309807567,0.7958624111737839,0.8489454828589571,0.756168096657958,0.7225114640855864,0.6915260262720908,0.632547233014941,0.8510702087969653,0.698562175596771,0.7777418388718457,0.8077568520780007,0.6825267582552379,0.7277422399892407,0.6219416874013287,0.6307339074961835,0.5831586582024227,0.5422279849919879,0.8028916167614116,0.7208215478421102,0.6763217838478841,0.8268433094298172,0.7539072244075434,1.2318436980773408,1.0082625330434782,1.2357702484656232,2.196911648454999,2.161512644535758,1.9005902287976164,2.207148197097089,1.9545717047732074,1.2841771650228173,1.402004394188808,1.1510346429759952,1.005993594323012,0.8104212751035548,1.3468560723729281,0.8634212024821706,0.814253527415512,0.9819582461125503,1.2937797947427274,1.190434062299091,0.8796885779449172,0.7562189590770414,1.1371683258503638,0.973961958625577,1.118332533038587,1.1586565557156492,1.4752137915503922,1.8171321776301834,1.4318027607545218,1.312576436816162,1.1247989745004245,1.457329722479989,0.95568682418668,0.910952072952859,0.798842578159479,0.8163466434051224,0.6802840707637335,0.6918084906959621,1.059859247859976,0.6911302633677013,0.5514706356314688,0.6074288290101973,0.6147528545424356,0.6697008639064912,0.7508011149240775,0.8302133138698691,0.9113605982149909,1.010769809648743,1.0059622964054844,0.9290518042477888,0.8689612398925431,0.9774919170670001,0.9923632025548319,0.7794168904555874,0.6947656382068862,0.8382461792975406,0.6098670107902979,0.7237204164155349,0.5794117229886473,0.6055569732209806,0.638504841945489,0.5505218798250666,0.8421220766649121,0.5045803277948353,0.5435498684379192,0.7717993732320412,0.49258081968864187,0.40816217899457996,0.394550875983949,0.48146533787171714,0.5683404688991498,0.5838806674523405,0.7733450822042849,0.7513970415280682,0.731218829011673,0.861185892347968,0.7661535604776881,0.7352037528862455,0.6028260372154938,0.5077901361662257,0.44629388196008707,0.45601044286354575,0.4448980937966998,0.46435961562870914,0.4743836232284995,0.6023256809503467,0.5886713739022091,0.5411012087320956,0.5716001186752094,0.6607503689820465,0.6576990420458804,0.6195238327960688,1.110083453448888,1.1034292254750862,1.767951890516389,0.8084086163788072,2.1567675443376926,1.6213113046090761,0.8124593031354077,0.7868637033428195,0.5954205563483957,0.5947152190244043,0.5533611333058693,0.5195955623060714,0.42243563308509274,0.4477237186034935,0.5399203199870466,0.6093128875646935,1.069927174628323,1.7189110593269628,1.0971074318275806,0.6813124676585688,0.5146875955055782,0.5382983875147906,0.4997493530258754,0.5367722953499233,0.4418662973802197,0.4996450413122847,0.5091138164801047,0.4871245975804562,0.5711271223518528,0.6043573573478118,0.6109349782819993,0.6997462473676934,0.9628294851048795,0.9378404075492519,0.7522469830677385,0.5722567242248283,0.532194997619605,0.4617162552662691,0.44023303233506256,0.48862751170428176,0.5163405664926682,0.7131020120739442,0.5228814146727793,0.5260362734339458,0.4545302809903519,0.5191170422317177,0.5341610365463071,0.5019852070935434,0.5077588981794393,0.5935148495452244,0.635292230371815,0.8071284478327103,1.4336555983483528,0.8234778933443994,1.6906221282608178,1.0534642241851122,0.8139140202372118,0.7369000408751855,0.6711714978867735,0.6767298677006978,0.9390629507047131,0.6764399281846111,0.7549866691268513,0.6906978679797734,0.9664248567788306,1.0261124267763904,0.8335101989021649,1.0231569929395687,1.2185067141194856,1.1828894108642556,1.2309556689750658,1.2578233658324283,1.5228275432747869,1.3054608288416185,1.3054916328756454,1.5820683382333358,1.6362185467812922,1.5337622150469805,1.4550338008197605,1.422334100358225,1.6624879166464799,1.4144292631840367,1.3583173472035304,1.5702966768178388,1.5572854979182527,2.452382676030748,1.9133933552745486,2.4595572909721506,1.575857095112885,1.4997037624172105,1.3751023072986697,1.3397954512677188,1.3796640565310343,1.1971228815700752,1.2318549101340024,1.2021250218322317,1.2936026011784312,1.0432781095696795,1.162657027219973,1.0447038337598502,1.1626601858069783,1.0873644240697697,0.9217736092032723,0.9041409281736399,1.0013194862499388,1.1888319788315789,1.2094555224546175,1.5296546936755653,1.2868997493763874,1.1442330443596735,1.4297337040184837,1.5480826659952487,1.281298204185729,1.416862903261077,1.6887084086498987,1.725148769462384,1.6087640437352926,1.786974912628575,1.9462632280558516,1.9318874309406502,1.9055073615189408,1.975913752317522,1.782910650740415,1.7338912971153222,1.5737495115964197,1.569141363102464,1.6321952257619718,1.473271142108525,1.408946514729301,1.451787207853708,1.4228543030705771,1.2432512168052854,1.3055920354418515,1.3688873595406537,1.219877653386776,1.2058748620339927,1.2876012353270543,1.2260262523816734,1.1872812286409642,1.0277687261624668,1.043875424605184,1.1557064374391188,1.2959843239993587,1.0327552587355162,1.0632927524497975,0.9096494935909352,1.067784903127117,0.917319057840287,0.883897007132138,1.0089967356015934,0.7195910304759149,0.5522494442011117,0.6606400216657232,0.8684067423457869,0.5250882233878506,0.7881980355333789,1.0815287259757325,1.0406754358436658,0.7316628404520272,0.888986776276074,0.9504168608955832,0.6515772048729767,0.7991828693580784,0.9500517028994033,0.9302964518204218,0.8910581650034525,1.4042251463595015,2.727121722047603],[1.6655382907730942,0.6009756951889461,0.6622299101437463,0.4870742579712917,0.5226455000459563,0.47410556805916254,0.30693238157965963,0.3700811497978399,0.34284796919002597,0.3595251001175724,0.45034925669815395,0.5054084578152321,0.4451010919362469,0.45129500896510305,0.7045684540434209,0.6119029663411757,0.5723818349328446,0.6938000022326459,0.6650320566265676,0.6417725717957146,0.705271961411606,0.8201534461539984,0.7612871786392004,0.8486023698362646,0.6412233178514802,0.6648753363823424,0.59631046232618,0.5683579580744759,0.5567091757251497,0.5292580325812637,0.7046928270239076,0.6213787959464162,0.6914857815913359,0.698729660569271,0.5936107394261314,0.6072349479564918,0.5558400158181227,0.5285256510080176,0.4847661424083639,0.47560670180816084,0.7533048049654572,0.607332261080989,0.5529734425774783,0.7717297087495516,0.7180324019169892,1.2215588789842247,0.9923141861285061,1.1657532746241797,2.150668829167615,2.17458276642277,1.850427936902904,2.1562079056358896,1.9294694653183395,1.1903378172255075,1.3572975509295142,1.1399892807636107,0.9373204230732411,0.7163113507190799,1.4138503049556022,0.8662639211224811,0.7319293489593116,0.8850925000978994,1.2534977480869303,0.9845084975568522,0.6944983242899054,0.6117521281450938,0.9449318486023088,0.796980221147756,0.9388650357248797,0.9849636783766241,1.2891637715803346,1.6520285969652064,1.2616401124328738,1.101198670809352,0.9429956874078281,1.2811202311158785,0.782632851268636,0.7681714523563781,0.6732169505479683,0.6940886795892255,0.5938302184245714,0.6369229771911387,1.0122847404582187,0.6472617373260771,0.5077033240042971,0.5470375419746233,0.5294460616728244,0.6341615808629483,0.6132327652642565,0.7236027464615654,0.7545672065114198,0.8681068552525801,0.8500761378093177,0.809252290446438,0.7432133505842695,0.8314828714509844,0.8743505755794011,0.6772249851477581,0.6281003640172345,0.8026087914663421,0.5726747745578561,0.7141419362070262,0.5632526452539267,0.6286881553138898,0.6682829378701188,0.5708635104286403,0.8688039620283773,0.5250515354977126,0.5624133190495032,0.7989877298930707,0.5125326453329394,0.4033392063899122,0.35318560901292534,0.39421087196857013,0.4375707343261904,0.4332339187538475,0.6356140933658849,0.790395202290581,0.555647821541752,0.6723488155925897,0.5911529214111138,0.5517926413428764,0.46785680457486695,0.374241831567865,0.33565184613828464,0.34812453072008986,0.43394815127997133,0.4381833507018826,0.4887507571258984,0.6444581009519919,0.6255505252076488,0.5748519895167757,0.6145646648063945,0.6943017683630555,0.7083865983858857,0.66446061451564,1.160933766445202,1.1254729357749502,1.77626254142464,0.718760992308525,1.9882148546167389,1.3804071628688677,0.6509524658288739,0.6342670148873684,0.47400124013549816,0.4834573310760979,0.43500277126176584,0.4558835121337258,0.3786144386788909,0.40339237824132923,0.5388277254650741,0.596685614598034,1.0554946911225498,1.687861936255767,1.0673942823335743,0.6533537579004655,0.482751024402779,0.5425120688799133,0.4698332826329478,0.5547509573046485,0.42907966948461906,0.459875463354101,0.4665294271459144,0.43197321858542026,0.5554954524739307,0.5711791180488756,0.6325525647796648,0.7022868421099245,0.9833937942992211,0.9567711382082991,0.79150612067065,0.5798291486637212,0.5407286179121644,0.46955881795221455,0.429622899516493,0.49660080149971253,0.4934539019007819,0.7357934519439083,0.5010861504303603,0.5274770457977376,0.46761113444943225,0.5468437501868693,0.5722147609902967,0.5376514118650366,0.5209359199702057,0.5841853768123584,0.5775104271185819,0.771316395287775,1.3707777946303366,0.7185624207031979,1.7966627439508176,0.9890132881012959,0.8163582177974379,0.743792891924872,0.6871724244448703,0.7186908905571957,0.9826242763139633,0.7012627190857957,0.7667100207298139,0.7039399105812938,0.9379813790726808,0.9920162138506307,0.830857149419617,0.9925035383542014,1.1525889201025834,1.1330311199232572,1.1930482675518104,1.1705159161954055,1.4034817942857394,1.200517235398338,1.17894516535345,1.4095833036889096,1.4660552415277928,1.4085985047570395,1.2699262242337441,1.2695032181571104,1.4811138066258167,1.2656320994114831,1.2270884049538595,1.4056800308633604,1.3944333436596625,2.409809233481787,1.7206026552285194,2.28964197508635,1.447316398396808,1.3884695071108994,1.3004266114643224,1.2766399816721272,1.2913305317088883,1.1331335356408843,1.187740027367177,1.143805904103998,1.2299953363130298,1.0110066682690453,1.1917469794911526,1.004252621378876,1.1247817460178944,1.0915201830222214,0.9038923988975558,0.9103175229655645,0.9846763421911846,1.1464463442712896,1.161582806387438,1.43357637365114,1.2366254948086208,1.1052301613985287,1.3323533564094718,1.479500924652138,1.2314275805555266,1.3367597215056544,1.5649571795662185,1.6048691787515659,1.5002749776475452,1.6285249926716932,1.7507455469830466,1.750212365606551,1.7094825439465873,1.7553827331933773,1.5927689857941811,1.5633730398034136,1.4521705220525156,1.4388459181802382,1.4705233592722338,1.352168249144519,1.307123859309558,1.3278745095308297,1.3013352947908636,1.1671691483136015,1.2182667699817298,1.2582897023461135,1.138398185106841,1.1381550108726557,1.2142213216388416,1.1587052197009664,1.114816890718381,0.9614871510010364,0.9718309429662144,1.1169732375696964,1.187669381131694,0.9501955184764901,0.9721786219967141,0.8477212054338443,1.0334403030535007,0.866095305276141,0.8099861337611206,0.9269296461311702,0.6780596333264662,0.5539426885747386,0.676504706910434,0.8505306845571159,0.5282052976965512,0.8042988884189881,1.0625618939380692,1.0352265046401163,0.7420592456541983,0.8464767908412119,0.895107626876137,0.6478270398340307,0.7527864471478952,0.9944643255642287,1.2465686934703037,0.92289510985151,1.807553417512496,2.7877578523713544],[1.5844397234380971,0.6091586275987934,0.5490017494850091,0.5002753812009115,0.5151614174600039,0.43574634854059796,0.2951595952984781,0.3160535447555544,0.2702493497401571,0.289048426985583,0.37852927149507104,0.4659714519176553,0.3684282427732689,0.34807852792735855,0.537731998627062,0.4612416123990349,0.467027878290467,0.5598046414568892,0.5501326030049015,0.5359717853990772,0.5955193247436146,0.7220439028565206,0.6720096728278201,0.7751617078822438,0.5772135453326034,0.5822114676184303,0.5166445933532143,0.4942990013697615,0.4573409298799422,0.4083353571872632,0.5441920691166882,0.48898213876220953,0.5383349874178426,0.5388327906545853,0.45352078193529766,0.46954267840313985,0.43808516094658817,0.4210623307391383,0.40041945242016347,0.3977867719887376,0.7088683193251664,0.526261757280333,0.46327151105525166,0.6655732729742673,0.661971521688828,1.143346599689984,0.915831313543406,1.0346239635116738,2.0561727109045735,2.044115364483073,1.7243557184266727,2.065011050956656,1.8539002067133354,1.1506509423658924,1.2801835379734012,1.0668571238134488,0.949187766854812,0.620947542136162,1.367686455423326,0.8108574500344627,0.6968920320201895,0.7813838436512036,1.164356751857356,0.8489566175665723,0.6058048274186172,0.505615482979392,0.825781301125852,0.6555763114878388,0.8105592861622539,0.8375904059973436,1.1841534825719466,1.4871436313239847,1.1046888329744586,0.9659321973696614,0.7883662370247634,1.15658088925262,0.6300798339534652,0.600843751465099,0.5197408731757768,0.5560722712418784,0.47871671560825785,0.5500029414875119,0.9790379397506083,0.5648881975268978,0.4360406252517457,0.4480970136330282,0.43378912409170556,0.5481578974538074,0.48200199452425396,0.6081956759365849,0.5880519182162188,0.6995156071875873,0.6493982725894955,0.6205348421254888,0.5774074099805758,0.655736101665377,0.7045906853842551,0.5323955704183865,0.5126835494968428,0.7499481104747514,0.49169294895892623,0.6413992303615993,0.4720023913953956,0.528030258105796,0.5823217740428694,0.4917105678953658,0.7392778652552244,0.41514921538775607,0.46607849964033493,0.719984726995252,0.4298921417481009,0.35079518514151137,0.30874172113112947,0.36962088116778746,0.3874942663866966,0.3982136057960035,0.5837209282631498,0.7979318243877132,0.49339680631426697,0.5935166294456502,0.5281647202675351,0.4921216128469284,0.4193487332284845,0.35012438607529367,0.316354200611277,0.350160575971468,0.38225810947755395,0.3965851214620322,0.385402552069627,0.5164472860241649,0.48820812347700326,0.44387214513802414,0.48552045688831313,0.5908184869189378,0.5940926110319428,0.5710968405692186,1.0563950769877417,1.083028625735871,1.7454134429191699,0.714706818442006,2.0073152816333093,1.4001743891346676,0.6218681759302714,0.6074022279107902,0.41047291207812425,0.4094223670089839,0.3768235022405397,0.39180856209616993,0.3120354516757445,0.3538092465578165,0.5015484836490562,0.6003158786967623,0.9291865174810202,1.57493498844208,1.1251217122574444,0.5822888227590373,0.4244592751432372,0.4810199860764572,0.38139430289782694,0.4842506575558848,0.37664938333972825,0.38936246576624833,0.4181627149848219,0.36701441892663816,0.4986054708176767,0.530254411400541,0.5607636828339692,0.6396748170665895,0.9057659666286118,0.9038088239971037,0.7074047328027036,0.5178867543700343,0.47598135146640413,0.41031700061196724,0.3547046818912539,0.4180275459816946,0.4027552159614907,0.6336693905224525,0.41670250812712517,0.4321642706510978,0.38971140246781133,0.47017339791776375,0.48315064169090716,0.4477114992199818,0.4447283112684913,0.5398092810347797,0.5408430746625004,0.7226926299194658,1.3948382210647794,0.7363270118196575,1.7247761873105685,1.006703090956739,0.7687004567233383,0.6670321699214375,0.5820293463994283,0.5649178450859679,0.8424607881253298,0.5311541505397068,0.5753446262125502,0.5214566727542073,0.700912404013679,0.7612742446755519,0.6352488513089187,0.7699871566885164,0.8934084625218719,0.9073994112068327,1.0188979250930608,0.912273852492279,1.1138887388722816,0.9609277125989426,0.919434129049656,1.1055015243847617,1.1913211463413413,1.1646137251442454,0.9975788592451643,1.0321814475533264,1.1638831991102006,0.9702919191458178,0.9290067212103353,1.0838123062809117,1.0691092831029128,2.2020315588558814,1.4127178732757801,2.0204101323282817,1.1466782511575768,1.0993021775611718,1.0467645224018045,1.0037137056688326,1.0075118240624115,0.8585157847497074,0.9329491105578439,0.8634442550624446,0.9717304578793408,0.7474410193137155,1.029905447360935,0.7635919975776417,0.9129903588667044,0.9806653278837838,0.7013852724488564,0.6997057955185729,0.7590755147464078,0.8982574731689196,0.923409436407751,1.1797088197526755,1.0175925939887862,0.8719183377525579,1.059579674092123,1.2484333199563884,1.0015856444069877,1.0764922846817435,1.274509618015556,1.3322522067477827,1.2129103282261036,1.307462499829192,1.4299144243369393,1.4635233214303314,1.389183826532983,1.4096003390760588,1.2514204109163194,1.2219240402094724,1.136682512755358,1.1160359181958404,1.130398065845352,1.043413890052206,1.0031542967957818,1.0106780370004218,0.9957991446919947,0.883267821093798,0.9153860136239106,0.9626929346362152,0.858900249628306,0.8846542324568916,0.9331753570684372,0.9700718003423471,0.9059373988363554,0.8092518463413431,0.8819822605432827,1.1353612653906524,0.9830722513221084,0.8123995551090238,0.7719210837496957,0.7013243897811547,0.979304739931699,0.8125016480991952,0.7888682890009558,1.0038205272044163,0.5841242049320433,0.5843852828594835,0.5165000823124197,0.7275940758580633,0.4844018400270406,0.6622962382139084,0.8733669307049651,0.939185342663061,0.6360045392955925,0.6929844587592405,0.693236664152704,0.5784180090104336,0.7131306893629075,1.040193343753197,1.284851343780474,1.1888904983847368,2.1300572605950885,2.6060176553788605],[1.4421447473347666,0.6570741983133788,0.5960216011758558,0.5184439590063837,0.5575016946034204,0.4026430116463816,0.23280661730862573,0.32684284117381596,0.3175841309517554,0.3217289821247624,0.39913164660192785,0.5726320457707886,0.3909689578949849,0.3516512856540902,0.4975575438449913,0.4545313444797425,0.44928531225809043,0.49176919540153774,0.4573892229269649,0.4734174158008016,0.5066864255161602,0.6498939322654426,0.5688269002820193,0.6372799832482223,0.5150182201592491,0.48293211797191,0.45103675481823563,0.449319069056269,0.42799549896907246,0.41849511906122566,0.5141654483822935,0.5238350637352227,0.5817427027635342,0.5581753296813325,0.4908524977912052,0.45841137146402433,0.4683781910243132,0.4231549680746234,0.38666922341401794,0.4140214516912273,0.7168224473211428,0.4533651566796784,0.431859557759627,0.590122451206619,0.6691149780556401,1.184004583533822,0.9704212338149554,1.0188633689205255,2.001024130657019,2.1315847540116475,1.7434836718095579,2.130609851299627,1.9523036981454056,1.1784252543889193,1.303385879522707,1.178823094998733,1.075614050839438,0.6597048151751029,1.4570480211415964,0.9341405992221136,0.7714269397740466,0.8003061512185788,1.189452095869237,0.7213765681355951,0.5508842321759105,0.5066199097124833,0.7214640511500157,0.5598007847445614,0.6960078857641755,0.7533282349354685,1.0775860946704194,1.3366107764323838,1.0019486487647453,0.8398473124039867,0.7149413828802852,1.0703157491541553,0.550937345394661,0.5748944259987755,0.5126183576626004,0.5230004752027305,0.4905852526468857,0.5906706115870773,0.9846588238076814,0.565206946963871,0.43964430030859475,0.4487523244038621,0.4506718167807548,0.6094438519763838,0.4538432081718512,0.6420857317283053,0.5555928589215416,0.6568759343529856,0.6231571601661784,0.6283022814179781,0.5853230941475475,0.6416191767183543,0.6925046948165591,0.5670911063410176,0.5602510191330364,0.732933400138757,0.5277004423359302,0.6501629761075857,0.4851625820340795,0.5404260317005458,0.5921154463447249,0.4998304992659709,0.7032457122585085,0.4212012735943679,0.46122815214220925,0.6579262264420869,0.40459936447065,0.3528783875180748,0.29872231997674925,0.3587454737351931,0.3561666408031988,0.33858621316672494,0.5335738040689102,0.9984121933927207,0.4299925997072988,0.522129722147711,0.46345263258529457,0.4365155539375632,0.3537923953177488,0.2969410581672006,0.29104379439179606,0.2982941130398546,0.3630182050894537,0.3673979709267288,0.41262095302778506,0.5307773017780447,0.4996470628849106,0.45050334721897606,0.4970931020695086,0.5627333819949788,0.6279281412502788,0.5971980419635458,1.1097057462623523,1.1097933049346997,1.7630040342629087,0.7601395334418303,1.844087342495704,1.3633245679719947,0.5770241441974162,0.5554786723732359,0.39358504931387195,0.3996509122124518,0.37131981450097046,0.40166420787685175,0.3291508477859762,0.36526581010887244,0.47313915647965904,0.500666695310426,0.7866385525020383,1.3423640198396227,0.9806403789063202,0.5454058267169112,0.44498905249601584,0.46650903057156917,0.38957160633195453,0.46869030555619284,0.3865399991176663,0.4064441210750047,0.42571791316871394,0.37667242573930354,0.5363071086967482,0.5968207186235713,0.6313538648283135,0.751917263891734,1.0180359926425493,0.9725812108928392,0.7834487421076556,0.5723920397044093,0.5031593627904164,0.45795822869813,0.38076274294539775,0.43811718397485033,0.4430217185089477,0.6698001293319683,0.4432297380016086,0.4644956056785843,0.41745082187273386,0.47133012970648236,0.4926684712746379,0.45904708821657253,0.45787662788221833,0.5311667548233364,0.5263964335351591,0.755040819928932,1.399551844150479,0.7370445273385224,1.7080454706734851,0.9610179030066045,0.8065711234402897,0.7127590446829839,0.5865544644741811,0.5788205923729984,0.8421080606575221,0.5487508671828146,0.5870713158874478,0.5223659882936705,0.6794695767098152,0.7089433017820531,0.611900364434936,0.7622745379935526,0.8418312874679809,0.8550314798535115,1.0181849592847316,0.8792508729579511,1.0127251325270181,0.9082315720864388,0.8768096091495448,1.0091303447296784,1.0803085421429521,1.1263338136063958,0.9295247844223544,0.9895871599202102,1.0841403748836917,0.9404002274199991,0.8942402221214838,1.0065236560650768,0.995378046058073,2.141957343212221,1.3314147766850255,1.9308485337100727,1.0542347038237203,0.9969897690957702,0.9461557504990104,0.9164957996055509,0.9465673511956316,0.8232483744615549,0.9049222176090684,0.8380615083831324,0.975155382214554,0.7584195991603581,1.0279758415422513,0.7900804040945845,0.9299265165938877,0.981936839342523,0.7110000761864042,0.6794644966950378,0.7258589995109394,0.8336473669884037,0.8385708328496289,1.0415530883716508,0.8978537569875565,0.7757210395419972,0.898737402714065,1.0601835310699452,0.8654860131896913,0.9424431340609869,1.0690084269740685,1.1208323106530138,1.0604887031517118,1.1212555531342632,1.1986896976144523,1.2761156266173563,1.219387474005007,1.2097957452322707,1.098232570479258,1.0644248654721193,1.0060206509037841,0.9919878544377543,1.0087721964227896,0.9639196365490955,0.9343660822466204,0.9436795493825818,0.9453863985838211,0.8645534057281334,0.8879163804994127,0.9463890855831125,0.8693954650154687,0.8960556272631621,0.9450085955927456,0.9811526144174385,0.9354457831758601,0.8364179118247733,0.8939075740922658,1.146352598314938,0.9730405539790914,0.8283961682535464,0.7752105144706154,0.7330588287842263,1.0144394706309987,0.834204030435899,0.7843048503628924,0.9431059395978101,0.5934068961653263,0.596454760766681,0.5299083758511458,0.7497754578377966,0.46229420229676704,0.5929260303569569,0.7730287094269224,0.8556314873184092,0.5786504829463703,0.6294816829052983,0.5864470100266198,0.5778292138559632,0.6727691123376012,0.9734784189597654,1.190696938214036,1.5953543476597982,1.9622694680394221,2.204452063379021],[1.2848638450893008,0.5560467483114065,0.46743386246225527,0.4733635038677434,0.468062483406635,0.29852710432991697,0.13592437454106593,0.2465059008746183,0.2290802746848097,0.262854195718677,0.2945242295834331,0.43919245047462296,0.3048447778785839,0.28912655482004956,0.38634817642377867,0.33246131178604155,0.3770721470132792,0.41974236066340065,0.38820150440274936,0.40841054251889947,0.41898083210218695,0.570575832244273,0.5347273789564371,0.6074331853563535,0.5661943259142972,0.44578594818354444,0.38992966453488237,0.38193733711119915,0.3785288226746293,0.3389111176396712,0.40260998717126034,0.42281869633864155,0.4643149617083822,0.4589946599003035,0.3878970782796788,0.3690299175709695,0.39751013115532,0.370305367160717,0.34265907635644166,0.37274520371213393,0.7145004490902788,0.47161379060943454,0.41905151377266125,0.567085422038935,0.7310388649806221,1.1448900842213048,0.9747794944070647,0.8765731298838321,1.8932584198567977,1.9616307772139634,1.5570032392303812,1.9736398262893389,1.793233698388277,1.109343377861139,1.2458434165818357,1.1036332789281627,1.0711732434418457,0.6520204763973922,1.4516026450765347,0.9164557640269859,0.7684548509145774,0.7229676043927582,1.1267604544811889,0.6637594094885917,0.5395989861961281,0.4903574701159757,0.6603842068118273,0.495468561797338,0.6197877700690295,0.6543768513402709,1.0021676732369307,1.2163079323110189,0.8966392865271214,0.7715048402499237,0.6244475166311959,0.976331636620008,0.4747219180169407,0.47061171953648445,0.41984847361461264,0.4628854966621344,0.4010517281123979,0.5055674665822781,0.9090141547861498,0.4299446350327276,0.39431795818286175,0.3928965517138267,0.39931368860300215,0.5305369851959021,0.38632977038302196,0.5461966814677753,0.43739455019422757,0.5439720255377914,0.5039258643139468,0.47761035269599394,0.4531821438477957,0.50206322181082,0.5681507045518812,0.44355717459039395,0.42795557153896185,0.5912773874797526,0.4361659066883897,0.5621811694356675,0.37245447856312164,0.44343683262844963,0.4733676679423612,0.3963009276839496,0.5748453881653893,0.343857436747841,0.3657802402518511,0.6089296899061226,0.2809293229983679,0.26049384502933925,0.20567287984355756,0.29656640279581975,0.3036203371809844,0.2945448058903992,0.5106558470350981,1.0807066155703167,0.4023266899931114,0.4423768932392296,0.4083948663330661,0.38514019774503744,0.3147958669031137,0.2552986973182375,0.24065919106663092,0.26171109113842383,0.2788428171664108,0.2961409155772141,0.27547896256487514,0.39647661815028534,0.3440350636984364,0.3179934203810619,0.3615425724334915,0.4796352375872404,0.5053840524377935,0.48911441384405946,1.019866217456346,1.028116971383755,1.758841865531401,0.7016953598050543,1.8297140895013462,1.4426752861988343,0.5907793365333394,0.5239847244310696,0.34385091715097177,0.33029658228396414,0.31274951549303487,0.32146586387879467,0.24463100443743527,0.3280804236678253,0.410999818981454,0.4491243504685369,0.6756350569331887,1.2720172377097367,0.9781718116029315,0.4482802563810241,0.35470091740221416,0.3956768233624544,0.3004472539922195,0.3826175841000867,0.3153399398728312,0.3345104378533936,0.40349134836242345,0.3481724389169239,0.4850154098461436,0.5559165887732748,0.5701755124212283,0.6990139034731082,0.9509996679530072,0.9194416665842556,0.7048966870335813,0.5096442290851619,0.4463788246874871,0.3814611660083412,0.3015894535803379,0.3539468599288896,0.3880770209550659,0.571121838242419,0.3531390075600698,0.36312566781848304,0.354438862813588,0.38507203198949885,0.4082991058111404,0.37668780809889196,0.39261430631756,0.514749836041223,0.5323319248001526,0.6910946027620459,1.4461544741232069,0.766544852355199,1.6332979182487852,0.9740800192248398,0.7486813201762136,0.6247472520537789,0.4998880823482994,0.4469347939016833,0.7014477659069833,0.3804907733159921,0.4092862650404787,0.36650850063023716,0.44100314026393184,0.4626658077554671,0.4045414789441133,0.5331179888058915,0.5819267905453106,0.615778616213898,0.8364178871026089,0.6344277880106315,0.7451291267079765,0.6926222186226794,0.6526550233010163,0.7548483811938802,0.8595468428628755,0.9184169383913274,0.7364538257632501,0.8135276411951607,0.8335257041643369,0.712146560096673,0.6497208188879011,0.7400937347699887,0.7602110556658535,1.9125762493848357,1.1160447433867327,1.7019096710031452,0.8082595366290514,0.7608335531663625,0.7444638162713786,0.6904091962622465,0.7211832230550768,0.5848234930834041,0.6759283253491545,0.6491925659957578,0.8445086778922706,0.560555359480907,0.8345105529847284,0.6526427979947127,0.7705361194510237,0.9138771636689557,0.527851217831719,0.4966542839394042,0.543428347499568,0.6127155796946708,0.6506879041961096,0.8161855665341786,0.7149797540281263,0.5599266298697293,0.6557856692945451,0.8449030237232864,0.6597036962506656,0.6910660614298219,0.8278591833959519,0.9143332295841988,0.8028802751890696,0.8540898345124487,0.9539985176925229,1.05587930184135,0.9585138329581467,0.9369551983894896,0.8145309872388001,0.7713116987114327,0.7276631177507601,0.7137546005594357,0.7131623400572099,0.6866261045017199,0.6577114498680953,0.6663012540755839,0.6854702209290355,0.6258456907597904,0.6386973011627249,0.7573075916823189,0.6861292220830467,0.6957651643942961,0.7486514584963543,0.8159962385334573,0.7820603734781304,0.7499956972396383,0.875997260434455,1.2108421357448893,0.8464699520442268,0.7282833012156487,0.6202298326190342,0.6097019430146506,0.9521247645470592,0.7940951333566763,0.784933351481039,1.0329115287453652,0.5687036230038408,0.5645231425982931,0.37612722655278763,0.665990354116639,0.3921733752397708,0.38866567763923776,0.5402194081239362,0.7717001381866483,0.4137824964319166,0.498959606302855,0.43125230381359125,0.3530463158696496,0.6707124670028427,0.847104235418984,0.9609009347030395,1.6363945725924565,1.9581164877447563,2.204809783516163],[1.0229070141832328,0.47494806493750236,0.5613204010563735,0.3494312650508152,0.34632349905810345,0.22668716063918706,0.15365532137304722,0.22898535883920781,0.30762190515569654,0.26033973836348984,0.25097198497224477,0.41845148589312586,0.2873871813274833,0.3002049094926616,0.3664014421870516,0.3195852850272928,0.3336466182238324,0.36862736205958296,0.37009803465366775,0.38656804136751366,0.39843850972246414,0.5771689127975095,0.5568201429082602,0.6276273097343037,0.5892874218976832,0.4594657460640649,0.39108019254742543,0.36309172938157075,0.34636587426573867,0.31147171430177933,0.3554660497922202,0.39118616083642954,0.42048072829996364,0.39879983139722186,0.3385223861787294,0.32980286984849905,0.38001337875996977,0.3626408788908121,0.34841575096152966,0.3811723600671818,0.720096158033327,0.49088851899117886,0.4360333537126263,0.5662373964432575,0.7720367898819226,1.1438270404617235,1.0154927449734228,0.8595115458397954,1.8674021447261375,1.877778630838629,1.5020402879507317,1.9552624894434125,1.7442749643899789,1.0966289045175917,1.2505065485068643,1.1095010546418251,1.1089189101099826,0.6923382302269324,1.4369780341130005,0.9479047080090857,0.7871258311496157,0.6683051791605935,1.0449573792306535,0.5994362896772519,0.5839546574492901,0.49272523708153265,0.6315628874074131,0.4370518145452749,0.5942654251501731,0.5848096867778633,0.9341173469713301,1.1032028718063995,0.7989240538336851,0.7394220772068824,0.5545960376090514,0.9291316053905115,0.4376728797293122,0.419035658141731,0.39918268203136215,0.46008764705796273,0.40881855230498654,0.5007572072259274,0.8931837801119095,0.4087330222498704,0.4434248714566544,0.380723834042145,0.3746791040312231,0.5178364081834772,0.3662873594070842,0.4878688459843259,0.3760293312900762,0.5137453991948393,0.481956890719824,0.41297149891462553,0.40770632751629043,0.4767285052577196,0.5399418315552016,0.42200104323062354,0.38822933225033784,0.5388118814193251,0.3837824454402594,0.47770871482501276,0.3397423970476348,0.3775674008169526,0.407232539737904,0.3776798882944065,0.5138405829906691,0.4852297607235965,0.4792003288369248,0.6163035094630566,0.28464147296059156,0.29633501469482926,0.22358245796464682,0.33846784580851297,0.3076835407478967,0.2938349345494978,0.4998468449390902,1.1193498710127443,0.4076538717089327,0.39704987268302905,0.36828943681624604,0.36089430091057983,0.31895223076465895,0.24626384541830013,0.24836794551987934,0.32545787520078723,0.2453206109473404,0.3188604362586025,0.26259162215339804,0.36152460794151237,0.30317139056596853,0.32893324605738966,0.28760379724201424,0.42744904404974354,0.3958413149988978,0.3955857797225745,0.8880536409910158,0.9653924217557025,1.7395528425961568,0.699328431284068,1.8659682219996647,1.5689246392725502,0.6445127556466581,0.5508963771803527,0.3599494962400765,0.332391068351139,0.31597444321645624,0.3328403490381067,0.25161971919094883,0.31107021788321604,0.35811305673516947,0.42562804892820555,0.5910652883477641,1.1776086049691363,0.963332595666073,0.40172092889443195,0.3221280780537574,0.3284562623511112,0.29449578610424315,0.3248821851974086,0.30874080903696227,0.3293544646968986,0.3897976868807973,0.36183515480222717,0.45681880758837656,0.5469725004071432,0.5123008739637811,0.6566303704410753,0.8811117080800966,0.8696705431280429,0.6131506268818991,0.4598266009807535,0.41459889957789325,0.36623830384782086,0.30741870528750725,0.3494137349804345,0.40125627579152007,0.5136428844023154,0.3527369943325633,0.34773613775938034,0.3425237948124127,0.34196161006442655,0.36692463306402096,0.36507039467559727,0.3837689317393203,0.5395408244435036,0.5808083037304999,0.735167689601238,1.5279855937292817,0.8964932889967405,1.5279118996249095,1.0782819611369128,0.7443253451408441,0.5890376253804172,0.49811927280722856,0.436574271261889,0.6009377700567752,0.3841369630738017,0.3728342564586078,0.42008748131082235,0.3151172171543918,0.31981165660824984,0.2985905649069075,0.3598783849475406,0.3671046893339505,0.42211106657063185,0.6728238148452738,0.44278419200434543,0.5339271655247063,0.5352684463740359,0.5075302527657919,0.5773112853882149,0.7134225241614514,0.7976886189585526,0.643182401466573,0.718819334347184,0.6982856714749124,0.5771643277669185,0.48676207926669113,0.5312676182954806,0.5716596607822781,1.7162731805624931,0.9730891763281577,1.5461639892208208,0.6605749787615807,0.6027887894875716,0.6309736119512276,0.5789274515397947,0.5677673261336771,0.4500453060077107,0.5669174697054958,0.5738584358239335,0.7571130269366503,0.4528750855644118,0.7736013187996108,0.5947313599190603,0.6765477716904594,0.9000359380048016,0.4274310773085698,0.45821014831799806,0.5039377075202258,0.525987806032132,0.601206708052059,0.6801477088551657,0.6445219130475627,0.47184240023362867,0.4954266057845519,0.6835582372304465,0.5326055687245382,0.5016583622135489,0.637961657248256,0.7580292244340961,0.6023259473148094,0.6394789704727297,0.7660507898831415,0.9148375434904682,0.7512795386707365,0.7184483276308352,0.5997603598156446,0.544577092482705,0.5171703882351855,0.5094616514265002,0.48815227170360265,0.4701451647762328,0.4479424455374781,0.4473129106148776,0.48843253149606647,0.43278127238302405,0.45902715958291074,0.6537844994202445,0.5619268362391798,0.56541074266288,0.6076660259047577,0.806004050728898,0.7378511001380804,0.7707269660124779,0.9941555342214005,1.3698969512100576,0.8107533451371856,0.6924785328478364,0.5395938479730007,0.5322017615197099,0.8899963866469881,0.7779843263150413,0.8354399492677089,1.1633853735540585,0.7228869444998562,0.6057095329735973,0.3508276697062431,0.524355307063533,0.3814485388001168,0.2869165604041989,0.3693917727811578,0.752600602749713,0.30025462004396863,0.43512983423175755,0.36470001745731767,0.33122044849523896,0.6772123871540983,0.7348504141072004,0.8759768532641105,1.7120173006167905,2.0691311811392716,2.291790444812],[0.8826615646679137,0.4579831104223509,0.6583704420603076,0.265653710378121,0.38791468745311486,0.20885136525786893,0.23048797382883263,0.25163041902225985,0.30582811217438777,0.270094337786224,0.27258435995302704,0.445249436516186,0.28849511966054303,0.29781837675225004,0.37713108344100227,0.3245046740448038,0.32686758090527873,0.3519545228795066,0.3660448947135456,0.3812459410664411,0.39417051852556145,0.5750457347249931,0.6004832217343177,0.6681416584295718,0.6388834807630928,0.4743804424676671,0.40806232612754634,0.3582944639831726,0.33939007529779697,0.30476913544848283,0.35917618966646164,0.38320554225925463,0.4261366681949178,0.39140434914869154,0.33501954799601064,0.3236168681700489,0.37071636667558616,0.3589709946129215,0.36267304717462323,0.4279867733768901,0.7565512052161212,0.49778530500986795,0.46775256271855736,0.5861486714699109,0.8604384710934156,1.1601788496994356,1.1237230856847178,0.7858812025138044,1.7312213352037886,1.7989589771883474,1.3893622384450093,1.8839876707523449,1.729019185978737,1.1363323915974186,1.3380751005151095,1.1875497356422566,1.1891796778578132,0.7985703514928874,1.5012865577304086,1.0523381791611037,0.8419401833463811,0.6770625683015185,1.036406993439281,0.5746445647829524,0.601147892862689,0.5274190608366067,0.6180286295771933,0.41199679535943873,0.5884355201183054,0.5758466387974391,0.9110349547224926,1.0790869424058667,0.7879748704868841,0.7439285462511191,0.532907508602269,0.9426428165316999,0.4147593892099921,0.4071870029485196,0.39546476353201543,0.46168569670240006,0.4101636063084982,0.541394611082324,0.8637124156740823,0.42389641629397606,0.46569173814040726,0.4032486368912418,0.39658010313071546,0.5236803268471921,0.35525555199605346,0.4789089054730843,0.3663226826363981,0.5333013106597073,0.5009689492684404,0.42431451047061075,0.41832453160050453,0.5013734676661619,0.5555890783893421,0.4268305134092401,0.4089284287594959,0.5751442075668551,0.39438333227109973,0.490200459853594,0.35402195269733056,0.4059214857926615,0.44183764664095326,0.41633571233187316,0.5790866250211869,0.5162632538816773,0.5036599902211131,0.6277433384366873,0.3458442842333558,0.33908722478182207,0.26025525858973403,0.33540743489874764,0.294512010463229,0.3116527878403611,0.4784354553624169,1.214566448736823,0.4403816728193332,0.38008806640297726,0.35992677898956377,0.3690344236214067,0.37026480558466884,0.2725641080625337,0.28491879224475664,0.35432627047345466,0.34497607184589985,0.35261122554895885,0.352052200538215,0.4036911039598176,0.3606988598256784,0.40356559331901287,0.37271660326377953,0.48653922991391285,0.4643760322925943,0.4591280848250809,0.9396044755765942,0.8398185225142264,1.6027204677624587,0.6384129511371011,1.647264217306074,1.7396083801630386,0.6768089950508406,0.5084431826200879,0.37579940459047406,0.3366146506715143,0.32974893466645944,0.33665769475658847,0.2734197857965696,0.3239877098480825,0.3631847409091355,0.4003389333953828,0.63159069955558,1.213285292811413,0.9284909154713422,0.4001387475723411,0.32302692530011534,0.3511838501606132,0.3090324509753854,0.3448869404066068,0.34074450822045715,0.33520208039986016,0.4419977221203019,0.43250239510363764,0.5223718711617062,0.6463029155971963,0.6194015048613131,0.8115722115220202,1.0423784159737983,0.94717277369749,0.7112154386474385,0.5345441131728871,0.46460120154790974,0.41654975817863077,0.3563276129669479,0.373404190388242,0.41500753961905285,0.516748210338523,0.37853653619809385,0.3822165095080553,0.4114384373000459,0.39068671003281547,0.4270796956667343,0.427896392006511,0.4584749001714205,0.5879330753336086,0.641372597054505,0.7746608724279367,1.610403343614673,0.9797206052480988,1.4619544089678824,1.0065150721822846,0.7741882081473063,0.6364359384619452,0.5322375454488222,0.47898936807047726,0.5956640019246257,0.43586734595882304,0.43061144280592023,0.4368829252585989,0.35929828624990706,0.34220741894919593,0.3344884857583088,0.4171589075046382,0.40735895513658477,0.43965981721310493,0.7297879749338707,0.5034421234920252,0.5562831650694793,0.5757029888109049,0.552519157191982,0.616545937240902,0.7482775607721598,0.7807367682900687,0.7005772732694447,0.8034221859978393,0.7005978021040039,0.6528044755388404,0.5414206541450021,0.5782134991968005,0.6379033259565325,1.5040874180603403,1.0275860965832138,1.582944810244486,0.7128038469800443,0.6410956590607614,0.6804036699045878,0.5729428017242624,0.6332075732090305,0.511878981341655,0.5983029826345001,0.6417721977210645,0.8307861357976197,0.5172221690738068,0.7052903890117735,0.7892806682663328,0.8244750744334224,0.9680291013195453,0.5131151661742835,0.48297986999653214,0.48672251426259455,0.5173670309539316,0.5706604978419977,0.6607628446075154,0.6003952255047408,0.4603220697961624,0.5017027087705674,0.6710455442162794,0.552669145845089,0.4910413773773934,0.6258320448125007,0.7641873475863173,0.6058534788739172,0.6433701107401739,0.7712296653250025,0.9291886305318979,0.7488856448870826,0.7260807996706647,0.6250912366236763,0.5634294154757582,0.5149806658089109,0.5063998340381073,0.5368222473536036,0.5097284930073888,0.4794158442427137,0.5077899407000176,0.5489445175230188,0.5092566779003339,0.5516528013489022,0.7529127728641919,0.6375658121317151,0.7134146844673168,0.6949993311668201,0.9077481011477866,0.8159356442772642,0.8009766693839606,0.975059222069796,1.288893936089081,0.8894347225317583,0.7524791254611738,0.6029444779657187,0.5263625306454083,0.911243471094265,0.8250742054343899,0.9007197063292132,1.2152332582353156,0.7135229614160221,0.571557650720264,0.3884991945106427,0.7030026920638,0.48329113959729086,0.3359084358738775,0.394637515817336,0.6778239998619894,0.33122748709586836,0.48697018657445856,0.4089710232816692,0.3703280851983592,0.6343107763589926,0.6430025292916398,0.5347265148456792,1.3464035953071118,1.252450321048922,1.7303294055865488],[0.6916617784162011,0.682162701348721,1.0340761226951434,0.5446130234259733,0.43341223397644035,0.26212475887994346,0.2581779445117502,0.2940824028408616,0.4192358792678547,0.38918675750219417,0.41664524823792987,0.4816464850001784,0.37957337622858217,0.46381243422064056,0.6041854028646919,0.4748682342548299,0.42586318734983447,0.4022981014084169,0.4570858308979209,0.4190205643548131,0.4792414488174999,0.6431008829874605,0.7272344851289905,0.7829861939896905,0.7046425762936834,0.5548659675508734,0.45245679939782285,0.398360623371269,0.409641277144943,0.37889279911056656,0.5235659937330024,0.43402357498793726,0.5070746599887276,0.46539072019423583,0.42987128452813467,0.4143609143584229,0.4088546549395294,0.400216646449588,0.3855800152671936,0.46721123180039204,0.7615738150944601,0.5121042205826926,0.5074771607300735,0.5950417208620958,0.9283627718303177,1.1259920094004918,1.2284902086928686,0.7463370395063967,1.6092264225503274,1.5992556443484556,1.2643329779642327,1.9080399786245283,1.705467881340254,1.2226600807631802,1.3862393666718174,1.2538099097952975,1.3923345834203427,0.9460166159595014,1.5139299616272495,1.2241837104294173,0.9894053140534215,0.7408332096945904,1.0638438308069549,0.6479165081146262,0.6381453195471134,0.6564541583383631,0.5953407452475048,0.42996948794752476,0.6035326207979816,0.6026219714822405,0.8149788562435085,0.9508066369807128,0.7312687809335531,0.7622342145733162,0.5643101336499305,0.9652276593628016,0.45836573576893647,0.4786248357897325,0.47329081230677006,0.46200176214133387,0.4222616636725948,0.5315791126584274,0.8182174080312969,0.4502708511013885,0.49514855810599,0.4067867662801247,0.4407010499905368,0.5365643519137048,0.414807557352288,0.5096684975755914,0.4576947830288144,0.7202777276511915,0.7071838918126644,0.5748233460875013,0.561923380047193,0.6752000690054498,0.717643398048439,0.548838510664604,0.4783609398416505,0.5833176376241413,0.42192939903685145,0.4973584462956121,0.34842128341905493,0.37078877857761733,0.4192196222967341,0.39596355668886674,0.5387752488489945,0.7307840529239535,0.6918784095790165,0.6008500857752833,0.37384883926327117,0.34214282900105547,0.2766675069097634,0.30662735655958756,0.34540086902863154,0.3528337326131985,0.455834864707064,1.2685740619075496,0.5660916629696292,0.4510334173107669,0.4824907320737555,0.5246010458107485,0.5214352168168019,0.3477272534117188,0.30788503705317655,0.4557962162298934,0.32504085515464143,0.4057146679358127,0.4003747900049835,0.4887920062063377,0.5458683484677436,0.5537515407167702,0.43773787973628253,0.48823393119248504,0.414284955021088,0.4191664210483518,0.7828016942774533,0.7448058415452874,1.3886057659683202,0.542231575455669,1.520905867621629,1.9410737856954583,0.7539057820019396,0.49311689261178665,0.40386946613385954,0.3540002923162522,0.34048814511150727,0.37205104315149123,0.2835815075568449,0.3402840532643951,0.34868423477510957,0.43233715964854424,0.5661090064649523,1.1975076946553527,1.014185926773533,0.42893540352620124,0.37534824440442455,0.3473909086844919,0.32410679054709524,0.3363435634147799,0.3372952695790295,0.35140802281164735,0.4270648125419339,0.44181231375330665,0.48810594846529026,0.6368264374703496,0.5694067556735182,0.7841970599027895,0.9817127036911077,0.8702676495254958,0.6076268919655609,0.4411366431817018,0.4244475000993707,0.3815113978545562,0.3383669860645515,0.3729422821564121,0.4392959493671654,0.4786771998938718,0.3863370289080778,0.3562407024814451,0.40049661034401907,0.3476690558851843,0.3985255954040045,0.4671674651561683,0.4733910859918162,0.6146431036290213,0.6834308016148668,0.8634363562300387,1.7477677043406539,1.2166203561230935,1.3057725523837733,1.302691905430957,0.8486926682809997,0.676225282203021,0.717305491229726,0.7715477702235879,0.7436827048369608,0.7066281972785579,0.6929445855176586,0.7291597684455625,0.5759168336358019,0.4921361559175658,0.5056606356764091,0.5521523052870966,0.49517065491702483,0.4781882416905501,0.6689651920214087,0.569680856958676,0.514577371507114,0.5749454753963671,0.6393994905094798,0.635668226623742,0.7110882985785147,0.7902725353271508,0.7891997669274206,0.8231834143577635,0.7819180887568973,0.8004643278700275,0.7032117214347436,0.6710081627572166,0.7466300553677621,1.358568026977059,1.0741593601276125,1.4657886513781522,0.7530787716262483,0.6892420713700363,0.7566325035282823,0.7051154141965227,0.7271064804884773,0.6775568978057237,0.7108729369112169,0.8674532923470012,0.9816665784157934,0.7338323116353521,0.9222667027757997,0.9542117480403121,0.9608112456536027,1.138903925699223,0.715057973263851,0.7224481967579126,0.6712379821107752,0.6622821962196471,0.7069978313938264,0.6843084835860006,0.672485694701285,0.5688554208830029,0.5412462485972478,0.6338218396259904,0.5592574245332426,0.47528228584021703,0.5345396956408753,0.6838913100311804,0.5376908844869227,0.5582127877577782,0.6780921524040824,0.8700412277690999,0.6650560334205001,0.6422182332337363,0.5845329643997482,0.5335534229737536,0.509905946492811,0.5409696570724611,0.558821477779437,0.538557984958541,0.5632369110979367,0.6054148153262205,0.6689307358869182,0.6506580824194884,0.72058116743126,0.9847926912955083,0.8599627827191898,0.8311257993698506,0.9165720165760648,1.1623709770655308,1.0835646911459866,1.1121282107772525,1.3800439166860574,1.6528417465439604,1.0698577624604053,0.9230212684954529,0.7836585763008383,0.6827186300822402,0.9799091369404063,1.0322795299574377,1.210007827890824,1.609850349404865,1.207188900121037,0.7669409582705649,0.640186720842477,0.5412495816811131,0.5623493802669468,0.41296132955498865,0.3722634571294219,0.6585006871684534,0.3329374942366342,0.4509193762340454,0.3707127387559494,0.3989153580350295,0.5858994884608372,0.6063099449868307,0.5281215478771811,1.4196963379437875,1.4962873548898732,1.857864891710441],[0.6161133469101101,0.6947155553990657,0.9541651312133561,0.4643865623996948,0.3769300267299214,0.32620537772742186,0.29600169127062265,0.3289936070179819,0.38613582815690894,0.3282105265996469,0.3489117511716418,0.4425391857116361,0.33963777144496954,0.36367077011928006,0.48937421748767473,0.40074651681832774,0.37237334244619447,0.39119652735317284,0.4456405399108139,0.43301182718537357,0.4820431810531122,0.596656865380138,0.7264978534615626,0.7827600603368742,0.7211126589296923,0.5620823879800094,0.47249356197575865,0.3951370516277267,0.39051842537690573,0.35191634234516,0.4402533432535398,0.38281719255642277,0.4421769895423551,0.4193542147724147,0.35964797615267463,0.38003698872488134,0.38746717366300015,0.38797302640201226,0.38948629148974995,0.4940236766887862,0.7680462210062319,0.5282153456850228,0.5233946350904967,0.622314427022404,0.9884277979483518,1.1614413947890763,1.289155963695585,0.7590888439731998,1.5553929312305275,1.5852990170470587,1.2678857469061258,1.941378480019042,1.7606523995844594,1.2937993217039292,1.4241096259797763,1.2952775446144305,1.4347167722057477,0.9456456228155938,1.4951420493214564,1.2456222403174726,1.024715477002661,0.7466453858179048,1.0088518161363296,0.6520750571683369,0.6662331991057331,0.637784674084542,0.636617721595625,0.45422570420005937,0.6243229558898316,0.6182423590497625,0.8638782397701548,1.0376333439458068,0.7685594529886539,0.7952068681283825,0.5461329321005485,0.9739919636530918,0.464094989000697,0.4555158745147935,0.43807819133252607,0.46609509824944706,0.4037715422062171,0.5177394003997443,0.8217363338982596,0.44360536828860886,0.49053669902934194,0.407363193114473,0.4330950765121074,0.5320933285686337,0.4003426671290964,0.4775892182415655,0.4153730056709201,0.6371520085746122,0.619994876936859,0.49278256596967973,0.4746407791718899,0.5784016412095668,0.6176664532633498,0.4534474050622457,0.41726136404223796,0.5586747246921971,0.4069103680149633,0.5125754253126572,0.34988411756458565,0.39947667030051426,0.4508400982884596,0.43956134665049973,0.5787050424715869,0.6402556398401615,0.6210441055590543,0.6332494495136238,0.41573684641437014,0.37035375011056954,0.3013591787315721,0.3238586737594753,0.33279080844373266,0.34278342399490275,0.48147559664892725,1.2411433222786536,0.5951330878002415,0.4212344215538174,0.45750474046917416,0.428406201711293,0.4955008503809464,0.3299606206186158,0.305089358543338,0.40593952132921496,0.36713734812215837,0.3712556803185653,0.3673665620285207,0.42938925720516014,0.44709959846343744,0.477841878125403,0.3781961722808933,0.44901518745060826,0.3965400591563158,0.4172674580895079,0.7818893227961728,0.7248065184830499,1.2817569833114748,0.5856399969784166,1.4723885670646504,2.041619325666586,0.7954595510053284,0.5018703427079492,0.39991387061972206,0.3387417515548148,0.3304593213019129,0.35372549583736335,0.30071704010292605,0.3590361911873411,0.4052013389758534,0.4708598337489153,0.6629324105610747,1.2561936299689964,0.9823612120699818,0.439807304687734,0.36829717804092993,0.3789729099082881,0.3331354745153197,0.36605555630334735,0.3511690110336928,0.3500823608045172,0.4674691491866726,0.4640506565424403,0.5214724948019408,0.6732061405977857,0.6462407259453068,0.9146684749304544,1.1276501766491978,0.9559504404820975,0.6789537084674697,0.5017842861592632,0.45824834150378424,0.40051700408511326,0.35299267438070814,0.37885634749445163,0.42767658187181984,0.5001164880365345,0.3865445190868246,0.3780846208053897,0.4174770697037982,0.37677775557837806,0.406450387463176,0.4718591190348366,0.49041242034345384,0.6457934665535093,0.7046945476229177,0.9151717835871571,1.7868938545119786,1.1934364016926802,1.3643149142751836,1.176407662417987,0.8403824780446606,0.6705027903531978,0.6199700345572403,0.6391161788523528,0.5927550673075105,0.5894077027014131,0.5927082919247136,0.6350350765281269,0.5158554127614826,0.4636779408954039,0.47363249428940546,0.5147136402561131,0.4681118921244802,0.46517391774363864,0.7025446887267458,0.552810430342161,0.5315434592319669,0.5591582661550196,0.592719281952214,0.6165989625958375,0.7020778438163768,0.7421682712919635,0.7616080654112597,0.8423725907444125,0.721225713518561,0.7514289324781415,0.63388550718475,0.6401047219079986,0.7596724010553471,1.3366971818197257,1.0886570474144865,1.4475433876536568,0.7379075243589017,0.6878693372997282,0.7581918264121708,0.6711777105100533,0.743787839872806,0.6471049311127542,0.6955248896829239,0.823803262564004,0.9758983660886407,0.6785313086513617,0.8053174622905647,1.0159257790712375,0.958214998091315,1.054928379129359,0.6603468088722282,0.6166466943026415,0.5851460707055706,0.6055639618095018,0.6432581399064026,0.6837398668263911,0.6477835934953117,0.5379975398779546,0.5476299244912869,0.6434208896037363,0.5881989385177128,0.4999622572530222,0.6024092535563459,0.7598761296109445,0.595485095070114,0.6124288532863927,0.7331899150937975,0.9038319539712908,0.6807579659882277,0.6652476768962866,0.5838514546544175,0.5490940041220771,0.5305121459838029,0.5363637711033203,0.5875166611657086,0.5502699535640565,0.5601798961615606,0.5955504036999372,0.6434207602144462,0.6212088981333149,0.6982039198771293,0.9281438575275822,0.7807668021252747,0.8750857657600596,0.8770080430219679,1.1044080409231205,0.9818968924538507,0.9831579507841296,1.1859597379799893,1.4163485724444582,1.048540398317099,0.8892425294572063,0.7113292145380398,0.6027869813913386,0.9190963748381732,0.9761762808842637,1.1474860340567026,1.4989903722944413,0.990606039318505,0.6619237218390692,0.5490887694860027,0.6748754965386041,0.5925708648059492,0.46398762741372784,0.43741054982222677,0.7006290915234287,0.40197840874522817,0.4985070070134432,0.430459324507119,0.41596723282189463,0.5473424379113218,0.6188063102053505,0.5540608765647247,1.157209719904112,1.1454127603856732,1.5536290273781048],[0.6676796167562521,0.8695388957491159,1.0834015012794735,0.5903203658434806,0.379556950787092,0.3729675306494606,0.30107170268890737,0.3380887963229889,0.38406053887092106,0.30109436609177953,0.32927777512566153,0.416755067349406,0.29591598186733364,0.3504864351256987,0.4979410268100019,0.374306946182755,0.38462443981918504,0.3991961559330571,0.5067864577299073,0.4541746959516514,0.5323325506333093,0.6478883183838515,0.8170544445896113,0.8639714887904265,0.7711776595762454,0.6158797852407378,0.5141178201693711,0.4221482692951524,0.40101165508481046,0.33313413506946,0.4467187134135585,0.36366669335160706,0.4376299730142122,0.39996342253732853,0.3504061740818895,0.3672380773849941,0.375991640969885,0.401079270712223,0.42459749906893013,0.5361493135746213,0.7905495066050044,0.5667580066572115,0.571370124275991,0.7087982197749988,1.0658538709860776,1.2234681222470682,1.412014451150646,0.8439643629180075,1.5316699474058606,1.5689687607196146,1.2886503236677418,2.0138596827741786,1.8133849287722972,1.3885066125127035,1.4828449492146623,1.3648790435458855,1.5458843190246947,1.0346348136939367,1.5103665665961779,1.3600759122506532,1.1174181792074656,0.7887771500425202,1.0061786105871073,0.6860908262476328,0.7141085135657486,0.6942192950647013,0.6536530858747511,0.47300643071318194,0.6732962140464107,0.6395817895197742,0.8831581436236697,1.0553291830735645,0.7781252260292926,0.8502280995676417,0.5488865284308563,1.0098843656239105,0.48019385108240886,0.47274417307545546,0.44834577956458727,0.48436931296135793,0.39667304665447256,0.5376094625147861,0.8099437501568383,0.4744297483958515,0.5261760150173269,0.409648010896933,0.4259859656898652,0.5173930706627747,0.40489883138466287,0.45943222251509325,0.4102981080183991,0.6852656307767463,0.6751025530942739,0.5013361787031368,0.47690150381352375,0.5941981029405596,0.6197775599346492,0.45065487450538005,0.3994844172830393,0.5692940657166038,0.4006939907861366,0.5028235165042216,0.3635062805844376,0.4000398129994372,0.462640770555965,0.4514552433327522,0.6279152531682693,0.7483895848060989,0.722631866585566,0.6469077817723096,0.45797022823274575,0.37777826725639896,0.3032736952906843,0.3246810762504803,0.3222897295635249,0.37614197552396783,0.48449409679195354,1.2502191083545084,0.675607729894259,0.4517935048687081,0.4939870843571084,0.45228380645687777,0.5259719764926482,0.3274090731080699,0.2995212368627639,0.44833543305558426,0.37227610480889006,0.3738606294338161,0.39926269808567777,0.48882980253054537,0.5529841259553077,0.5617696846770378,0.45113059065016436,0.4938702295664177,0.4258778908066827,0.46655938266491415,0.6883310588201084,0.7650961005815838,1.017473764034907,0.5968159959777817,1.3335384295251342,2.1621680648694075,0.868186742901127,0.5305618610192461,0.45754271284895837,0.39017249541677707,0.37932313244335397,0.37150427122721325,0.2895508739708056,0.3516560231906275,0.39547807807447577,0.47953563898459295,0.671261463301045,1.2486304489166038,0.9602670770747478,0.4432084224653481,0.36397145635530714,0.3717030980036166,0.3239651650254139,0.3682371155741858,0.3729999679632625,0.37128472206142604,0.48806617276796477,0.5078984679070455,0.5499115619334923,0.7173554119878336,0.6738373751511856,0.9797678567189659,1.1655573163998756,0.9394212788164416,0.6602857337464498,0.49872064852753095,0.4729593726630877,0.4403131256452667,0.3822008371485175,0.38775526636151897,0.4442864380043082,0.49619003445325094,0.4053857419277904,0.405152360341263,0.45003695307672875,0.3960606345618478,0.43632865542393356,0.5064863418805248,0.5173164703844725,0.6759383165251032,0.750897652140393,0.9915988753608009,1.8994115410673964,1.3274470895736925,1.3261622553192,1.2599615983096408,0.8857386005511655,0.7040165951239978,0.6874999524980961,0.7833870671985472,0.7018943954598729,0.7114160366643402,0.7053977371825357,0.7535577116177279,0.6113802392740967,0.5271992530921279,0.5530669361055369,0.5697323533088936,0.5185514445353332,0.4928858320518429,0.6744833257596343,0.5817623196172148,0.5306362934693458,0.5469658525737641,0.6113451287181846,0.6341528888813045,0.6783231152986311,0.7487210599540185,0.8060663011851743,0.831504981003357,0.7646963301040255,0.7922333241961547,0.6945518500067724,0.7021634307981184,0.8454891420269518,1.2576538301044602,1.1455051341206945,1.3611634087839846,0.77013741601208,0.724000904743701,0.8093156751163774,0.7462201535250789,0.8158889846347532,0.7385106954127821,0.7836061116800878,0.9446419453701479,1.0627212223495923,0.8012283121157054,0.9003334539766875,1.168398537226241,1.0417513820001079,1.135634572750251,0.7603852384632098,0.7115546173961785,0.6753240945783366,0.6664087318258397,0.6770359121028737,0.6973563542931644,0.6556717230450572,0.5917356517669304,0.5815736234189406,0.6349135414642231,0.6257874863856131,0.5196184426071014,0.5883173750521725,0.7414789485716496,0.5833378116451273,0.6025228230594463,0.7127349020907319,0.8717431639374413,0.6593030839679441,0.6555479643229339,0.5945979343062222,0.5752975980589179,0.5557456552119724,0.5725365858653051,0.6350799196910076,0.5741666746288873,0.5970787630049149,0.648438285858221,0.689784390693897,0.6842372564690087,0.7737066100506684,1.0235899560326296,0.8434740208276432,0.9418435124615596,0.9869574441929636,1.2051041858085956,1.0766218090630997,1.061611622292805,1.28394608578799,1.4477989300362624,1.1210878147868328,0.9247186711521326,0.7340554038549358,0.6114337668271737,0.8630849982666331,1.0354634899703663,1.2676573827991497,1.613272560634598,1.119928761604244,0.7139539062234848,0.6571924608862504,0.6175102223542961,0.5672229209487893,0.5439497917799034,0.4820537400300836,0.6964879973030396,0.44576314310425175,0.489221647432204,0.46493447934990845,0.46037584287452604,0.49975533094485064,0.634893648790877,0.653884829751304,1.083822094210251,1.1641612260996685,1.5046373244240232],[0.5755822957475921,0.8027899489578281,0.9439365220080169,0.478538694323497,0.40375888179610825,0.41449208656899794,0.37722274457839094,0.4059212744591948,0.409791191296789,0.3732229556191082,0.4010130185782454,0.4796939200252595,0.3844484842973871,0.42915833299319206,0.5547333661932712,0.4469110858291388,0.4567355565485206,0.4811253887400359,0.5505474461665262,0.5059693892267995,0.5496324441170819,0.6689826854879285,0.8176720989076244,0.8766041877405308,0.7760089419587576,0.6397980755388357,0.5688821731915183,0.46242120225913685,0.46050210136726827,0.41383479187216565,0.512538121721246,0.4485857740377595,0.5188415982663501,0.4787672598823959,0.44312642242211236,0.44892145977293935,0.4627558833308656,0.4810313245876803,0.5016380876492992,0.5926641304372766,0.8306013552569649,0.6285987795817884,0.6271004937232604,0.7522259731020949,1.1282307816320953,1.28869506973393,1.49517932575915,0.911199291002362,1.573372285299866,1.558803713466724,1.3055492540612434,2.0215671794159067,1.8020958745540898,1.3454020411554326,1.4386257031553125,1.3123830074009555,1.5111778806495841,0.9857498799281463,1.4443379520489001,1.299570993333989,1.0891650146301672,0.7638635725963457,1.0050022867152475,0.7577287941206244,0.7585591461578182,0.6910559479965961,0.7123175394055992,0.5479064904115745,0.7230930932446793,0.6844992617757936,0.90053493925215,1.0768405161795933,0.8034074508626825,0.9063406346787864,0.5766311865098647,1.0629171326243645,0.52570182088519,0.5272674966876494,0.5000396346264583,0.5339229507531299,0.4818239436106279,0.5903319801308758,0.8614234751645515,0.5308519619644476,0.5879548247811809,0.4894227848882259,0.4938353265748524,0.579028951428688,0.47374176114933836,0.5206810385550847,0.4844490021617667,0.7038385204094011,0.7264242472595458,0.5769023902078456,0.5431645821144417,0.6566221480505194,0.6541065388106769,0.5022967914063425,0.4708867890135458,0.6853013347047899,0.48587496533222707,0.5932413172447273,0.4478418890057994,0.49660129447504875,0.5393524126952469,0.4999395552628508,0.6326738725070884,0.7033002433227923,0.683082401629788,0.689187933185985,0.4978018559158912,0.4321113167416583,0.3874863672845134,0.37400121389990676,0.386734302492958,0.44291930216102304,0.5211016642608621,1.123016104247976,0.731685489984784,0.4988379674160323,0.5491403024142721,0.4876087059133262,0.5450326638688187,0.379600190969769,0.35924446603063004,0.5363107839765885,0.4267926151158733,0.42974192966749286,0.43274451111068063,0.5034471743471464,0.5251704896156396,0.5388875188855333,0.44739268777809543,0.5046402502107462,0.4366462978754029,0.4790540737292119,0.6984084578606476,0.7667833349791757,1.031710715717369,0.6058392066449184,1.4004371914300922,2.2703302439481354,0.9201535296591554,0.5954255804826543,0.5159464420935783,0.4640343077684223,0.45216344540077763,0.4371732756797775,0.3679937742164862,0.4257938560936877,0.4950888127513022,0.5369565959978602,0.6705121637180582,1.415475837911877,1.0930944584525166,0.5535428398080587,0.4666134109890977,0.47329894178746773,0.41832927472457776,0.452871594277775,0.45462997793443716,0.44601324491219824,0.5234027459570428,0.5407765017042859,0.5655650219083302,0.7246863372089981,0.6810961340767746,0.9878525016616355,1.1730670278619135,0.9335547656815036,0.6706171707250043,0.5110689136258939,0.49955864251641896,0.4768742946650837,0.436060842459165,0.46722206220274887,0.5267056864272677,0.590221788124792,0.4675190076621405,0.45548072354140007,0.4850993202670973,0.4410640541417362,0.44979923297287316,0.5226062045600315,0.5422690722336981,0.7119187958282528,0.7997841917157603,1.0181679288633552,1.942737009300462,1.3765581095265673,1.3493342462524904,1.3031226315107034,0.8961107151899087,0.7064817120397247,0.6919871951685511,0.7661402454361694,0.6775928989617335,0.6678020923971695,0.6693044774952283,0.6973579553925239,0.5777954052205122,0.5021916010954284,0.5206120619952748,0.5794111205822288,0.5321614118689777,0.5010132738750109,0.7338115197253987,0.6351072999948937,0.5768429738211505,0.5906551031636945,0.6407222925379648,0.6874068174155543,0.7244576234764435,0.7397730183702133,0.8420588318742549,0.9513843412850348,0.8086975945979851,0.8995461244782396,0.7516029560143914,0.7637990365678887,0.9417730444473009,1.271017536553711,1.2371415905120093,1.4160748771202194,0.8169966701275201,0.753515365755555,0.7942146739321652,0.7347574199941201,0.8594995338993817,0.7448824415364456,0.7463139119305344,0.9473298087453059,1.08672108471258,0.788477352081298,0.8777743296769939,1.2251859012527746,1.0652513783451258,1.1266675548469824,0.7607366417306507,0.6657275406301421,0.6247794479018534,0.615018263431251,0.6491625657199204,0.6858149962136703,0.6470845505884396,0.5640546035243449,0.572138650067216,0.6463808575208916,0.6181287069190603,0.5314821316549283,0.6098478617494967,0.7443650035068567,0.6029412416072216,0.6547985912790507,0.7629673083217878,0.8871343223154157,0.7294876304295044,0.7482510170012057,0.6788070118575598,0.6318676394861005,0.5871711579760945,0.5998607001723969,0.7084691502164182,0.626452640172899,0.6358579344920701,0.7199803175313686,0.7580259765815675,0.732774112325916,0.8410565298843703,1.1265511963999488,0.9142898078075699,1.0178554993569913,1.0721291374988178,1.2850096822631405,1.1643215831481986,1.1205829508529606,1.2749355514446359,1.3713750747528188,1.2186899034928955,0.9867709220751141,0.7836537904343428,0.6561562055538259,0.8801934083222855,1.0280108045689427,1.270974758121364,1.5446186918198268,1.0320635807281753,0.6783455712932505,0.6121483974978434,0.7017871973272721,0.6067172863222496,0.5346559386421981,0.491621617137438,0.6977466021147065,0.49388274976295526,0.5337506701465371,0.5624985862556632,0.4893487613944818,0.4962735860313743,0.7264927986529627,0.629455980784049,0.9433772091198543,1.277326459886982,1.531480425997266],[0.6718064797846368,0.6857094237729647,1.0043575141480303,0.42954667613364594,0.436364687842412,0.49306136647976245,0.40149044091892605,0.43007201836300823,0.4465369173575418,0.38083530840255514,0.3954327800079116,0.4916246082957439,0.3836010728572745,0.41097573792747055,0.5376216095392031,0.43652358731932395,0.44529863166039946,0.45123708852545114,0.5453052439794187,0.48390686036880864,0.5495081724244754,0.681841940225929,0.8406050374434397,0.8864988412282655,0.8160562231705742,0.6437987220232725,0.5543378564195367,0.45244753813771477,0.45246436260501427,0.40165332726415204,0.49279827756914796,0.4405977146503291,0.4983116990390699,0.4581185619312565,0.42966577326240124,0.43384923903847433,0.45060627339017056,0.48121840353231005,0.47788300456310095,0.5984125141000759,0.8261175370173527,0.617806871053476,0.6297477300333278,0.788687483061678,1.1269696957708557,1.2548226126014128,1.5033492096471446,0.8817293976858264,1.4871958398849532,1.580150778978238,1.3040255751367937,2.027938927913091,1.866455650437895,1.508081859153116,1.5956129573502014,1.463479363860756,1.624757708136889,1.1328955013644046,1.584739426198789,1.4527164515672497,1.1697945350739698,0.7982368123925507,1.0526269088341653,0.7005828083030906,0.7169882667560162,0.7319734740711397,0.6572385853542296,0.5040278797552308,0.6796774274616535,0.6516696210871128,0.8504945767858425,1.012219521269037,0.7574078860858158,0.8486215598873927,0.5319926993786673,1.000687551318582,0.4756285311329547,0.4913167362573997,0.4852743379984484,0.5160579564889796,0.4559749755258672,0.6188013825285704,0.7734272362304887,0.5598854993501255,0.5765838882065935,0.480588585906534,0.5002922421838285,0.599328072501253,0.4507107795011297,0.5227875601325468,0.4496648217654409,0.6855576832076459,0.6985023779533597,0.541708205363253,0.5259154654598301,0.635113651153864,0.6546540087757736,0.5087864594343471,0.48516144149225243,0.7097693353339595,0.4871771090572387,0.6202293632974109,0.4724591805455902,0.5186290093581853,0.5872284302058811,0.5464144057448249,0.7202461243718488,0.77923241728013,0.7597620127588444,0.7281074389739869,0.5838788178982818,0.46927478599940853,0.4072993531155359,0.40140077419242864,0.40485418219137903,0.433099198592193,0.5125140924379786,1.3155108845231243,0.7198862342618828,0.472479494973504,0.5255364884914714,0.4928248429332096,0.5878909663739625,0.384906045986537,0.35074867922695246,0.5076454913313895,0.46831127986289134,0.44969720987951534,0.47496408120080785,0.5247401757151823,0.5856870401947326,0.6118086646763953,0.5034757690669913,0.5364961452276243,0.4835553504123012,0.5157343599717561,0.6875674073227255,0.82762934358353,0.8804498390355023,0.6155832589970043,1.1965940913001296,2.151262763889911,0.8868099506179271,0.5395561464152178,0.492873874445424,0.46316893876516185,0.46115080834002753,0.4505833106977445,0.3923188642251218,0.4306921499990796,0.5051577220530763,0.5006448863166835,0.6071868932494434,1.315822123022321,1.0422406727243247,0.5821224585161359,0.49452734981818824,0.48943682894074136,0.4441151639037764,0.48218079642826134,0.4541664622175903,0.450007058263759,0.5426927667163114,0.5720278206027205,0.6048344635641894,0.8047962038464936,0.7572988473615259,1.1089678150735616,1.26421018256669,0.9842632752010586,0.722536457586076,0.5627248009857978,0.532240697035907,0.5049727101277758,0.45793147942772805,0.47342946988006623,0.5195571750314784,0.5745600262091237,0.4929995841387068,0.5049740659904999,0.5109509880189907,0.4837049170992816,0.5041503054206574,0.5680812793603093,0.5682554182764685,0.7117839881760779,0.79361517859692,1.042270779218832,1.9204226021837822,1.3656851838529518,1.3095647341707033,1.188902865013254,0.9117486480067798,0.7411407366904186,0.7222499101425127,0.821196996127618,0.743196679804455,0.7414043781014534,0.7634704297365946,0.8024436738422858,0.7202700156685257,0.6375196554659647,0.6550644184722119,0.7006140474246497,0.67461563168645,0.6115984610461783,0.7803798262001678,0.7517183576022424,0.6486443143978163,0.6304770470990212,0.7198924621915637,0.7299408117519425,0.694360744296407,0.8051997589057641,0.8809668633556811,0.937444534916727,0.9171832598781096,0.962561936718566,0.8647783154082189,0.8762837385714924,1.0721959280007343,1.2877026008342096,1.320253320987405,1.3418849074915928,0.9240982219487192,0.873700495644623,0.9237390968188679,0.8877879037576818,0.9990829394229276,0.8929039206221429,0.8821261349986957,1.0988400398123603,1.202591962094853,0.93173463521209,0.9813229761921484,1.3803332072353647,1.1585394980001251,1.1776306982068112,0.8767751774302214,0.7899393346811903,0.7487882196346389,0.7456566668839752,0.7462645908674207,0.7890741520725547,0.7428082995390858,0.6970112134580703,0.7093232992477332,0.718358628058625,0.7507768601154992,0.652645470666013,0.6771642883544202,0.7680827826624137,0.6555433527019457,0.695432456742688,0.7674974684580189,0.8948963641045522,0.7265644256366104,0.7625180872524738,0.7371804363845699,0.7273846667174182,0.7020836926705879,0.7219362436544803,0.8231574596996735,0.7333695549973328,0.7491667288086541,0.8356537298604405,0.8599093731830267,0.8458463300480338,0.9531381972623991,1.1996361700113736,0.9894729399297818,1.1062555835395163,1.191579190187701,1.389516149080686,1.251866330971146,1.2148034906324952,1.363160350783663,1.4361492048970341,1.2931053292787849,1.044693806194242,0.8494970572275561,0.7553384864285756,0.8690568067685902,1.0717621482829338,1.3374658350325395,1.5402622094617355,1.1099224405968882,0.7414629727523112,0.7166748906408791,0.7120911464664329,0.6615329701449953,0.689118503285495,0.598590713670705,0.6799644204769948,0.6375970693983037,0.5869969433749792,0.666403208836472,0.5578840030884432,0.5019005872097274,0.7580581175423194,0.6516506429179504,0.9769689039070868,1.1266761467908775,1.5614822305242062],[0.6476083007665021,0.7682409603943753,1.0122591666287484,0.46046077345157815,0.42697174982284486,0.4478435343074017,0.36579135796011475,0.3874592458451695,0.3998864002090431,0.3504149713241856,0.36304085168425676,0.4573466324716515,0.3607231424143473,0.3960461731272318,0.541715977631204,0.42403040865459946,0.45601656755934344,0.49962274908176124,0.6025845717167915,0.5385811175726564,0.6133235151848369,0.7358308256963249,0.9129006061319594,0.9437359572466039,0.8878080491242434,0.7180300652802877,0.6344209403437827,0.5049886099435734,0.4926408768142257,0.40494108478072305,0.49257676610088924,0.4244470646180956,0.4866998522572175,0.4605540824020084,0.4257259805125753,0.4522132481048059,0.46081270941314617,0.5373215228556957,0.5414457993336519,0.6623824333411671,0.9032810855928146,0.7034373571951892,0.7201338003008425,0.8689246693700317,1.2108876241900421,1.3470296792984622,1.6207372516895573,0.9772095203155163,1.5335586377638988,1.597789560452824,1.3328518679361017,2.0463411285383986,1.843422304015064,1.4683266976692686,1.5690910396714313,1.4377938189055763,1.6139732147413977,1.137559601797939,1.5320096570789203,1.4503408881272546,1.1823871247431816,0.8207649506054722,0.9720936498751951,0.7867991187385371,0.8524040161924885,0.7436798569745302,0.7434533066767418,0.5664684993765056,0.7560584291929038,0.7062947463537672,0.9091710947137305,1.078268123600806,0.8143687312099757,0.9369225916113016,0.5938470736661488,1.0631783732074636,0.5493000528495516,0.5401576953108317,0.512166837438806,0.5899435058943457,0.5033676415877888,0.6326245639168376,0.8041166703429358,0.5908654889232867,0.6382992926321491,0.508167001588206,0.5306063659376551,0.5911723147396821,0.49730073212298687,0.5183878930605942,0.4769602097907992,0.7119363376003125,0.7218888546466132,0.5521844988656782,0.5233754546988867,0.636761466766022,0.6404513003442962,0.48125984549852735,0.44042714545110323,0.6638372731582404,0.44384162757241996,0.5864843522396245,0.4451004451434518,0.47992132690834993,0.5672756534496024,0.5219474839453194,0.7214164868065092,0.8019988803278344,0.7618648165315345,0.7169649052756356,0.5568192442255615,0.46586301790742424,0.3891210695154147,0.4143542894952379,0.38392598226816177,0.4545422105115098,0.5498476935305019,1.2110153254743876,0.770412625099737,0.5231477566558927,0.5747091572806096,0.48357291327064333,0.5535861459712855,0.3805075415137063,0.37340986189019415,0.5455508931589182,0.4550673851692483,0.4574631499756166,0.48869949902248605,0.5650042160264237,0.6511800325419337,0.6687135243108419,0.5914044625698607,0.5911813045514935,0.5596699417837163,0.5960933256890304,0.6943620306130478,0.9230350580871952,0.8257545515622288,0.6585100843653936,1.2288724374987998,2.3015309086136937,1.0108671458003837,0.6288226131642041,0.5629933831767082,0.5028733096514831,0.4931700040949227,0.44307872246891866,0.3772882162995024,0.4096368910712223,0.4731829128545759,0.4789746762893287,0.6170477681930219,1.3382666733869644,1.0388187508739544,0.5305064855444777,0.44274714572282536,0.4537156742329421,0.4042183305534027,0.4479078585404638,0.4672877624432675,0.48309544777590474,0.5801713424126489,0.6141088041823809,0.6556035343147598,0.8358140669546963,0.785806747909114,1.1190354387741366,1.258278947056348,0.9572143684498721,0.7346346476616245,0.5979459909983388,0.5891613379419176,0.5482924899543828,0.48798634238561267,0.47760807996999016,0.5223001989526195,0.5695986379416098,0.5121212127767183,0.5227964358949835,0.5584120848914239,0.4951600224605718,0.5517866097518347,0.6387191370255842,0.6345204118354986,0.7792450876382695,0.8594623798861035,1.1252992400656827,2.01529063374676,1.4967992669374504,1.3554453571809857,1.300980919106975,0.9691230669247278,0.7980057708045313,0.795738578760729,0.9228332373450422,0.8310215394089987,0.7992077064260256,0.8091652810209072,0.8254269489867859,0.7454195502857542,0.6459602973969966,0.6572031891228604,0.7153334157415594,0.6917479488509306,0.6141452726023638,0.7813392941185823,0.7735585530764308,0.6739872880133317,0.6483348902110152,0.7447482973571901,0.7770295649882029,0.7278515720120078,0.8374936020633852,0.9429095874489104,1.006947348997009,0.9652168083942386,1.0362400110128693,0.9214368988058701,0.9467104548473791,1.1630571809792245,1.3177159373142604,1.394654478095317,1.3619173913812166,0.9770409487125503,0.9124389883613995,0.9406350374947033,0.9286155790473999,1.055065897243375,0.9306204044469083,0.9142978749067213,1.1672530409159607,1.2614696333076676,0.982185891764072,1.0469768143761686,1.4909262360959445,1.2214690541676823,1.2119834842379962,0.9176113984806646,0.8299227143784433,0.7794604205885081,0.7635407372039701,0.7538837288576491,0.8060767265499427,0.7337539676853738,0.7014097460210125,0.7136819525219056,0.7134282211872377,0.7452544060550151,0.6553135901005086,0.6898336298057568,0.7760077062485624,0.6691352321374852,0.7297074631676586,0.7989726889580648,0.912726854978813,0.7794186283814107,0.8312434381340881,0.7986401439812034,0.7811283324588739,0.7296497254454891,0.7667192002192029,0.8872782472005408,0.7737757620057047,0.7913924492587363,0.9010248981156627,0.9184938677469189,0.8947737063882164,1.0262305240814982,1.2778266947531864,1.0482541145537416,1.176323851293229,1.2845112566315164,1.464266706499922,1.3200989097061098,1.2692597491034199,1.4177564765503163,1.4261499448162342,1.3616469329369891,1.064092563351748,0.8793935913026184,0.8007962335832481,0.8643504752404682,1.0410814733631855,1.3158289408644706,1.491685015527192,1.1112545058085987,0.7469635679364183,0.7411202065383281,0.7112909926722676,0.6510569681907549,0.6614918945172424,0.5807058122978348,0.6615447594214415,0.594151925198706,0.5819404317747864,0.6365378268891059,0.5150109727804899,0.46469030815375,0.7624807830566186,0.7228929126710176,0.9395537088092869,1.3381300676832562,1.5882446659797844],[0.5502645149077469,0.8315078713710606,1.0250856569752433,0.4178944190706883,0.42890030817029945,0.47517754653098565,0.3869340975028192,0.432648554799733,0.4593075354296609,0.3882642563243419,0.40918954431537086,0.528182038933026,0.38622994574242364,0.39480013308485196,0.4954408623321483,0.4233412424986431,0.43347636514935756,0.441040163788186,0.5252104196554631,0.4744289167240632,0.5401731632976176,0.670685842424983,0.8313818319935196,0.8889637578809565,0.7963357036742933,0.6353892293021078,0.5427786370682247,0.4441517371331677,0.43035568378541317,0.3841364135715796,0.4845918897477347,0.43244556416553404,0.4964562129797956,0.44919300106366417,0.4100800233234931,0.4107611545936355,0.4385927620717333,0.45814906200467925,0.4664746790848608,0.5731676507067612,0.8427981814586053,0.6038106825951284,0.6121081111640677,0.756712588613598,1.1152139059783355,1.2575944731628335,1.4945782724613894,0.8824562564027636,1.5280001880161784,1.6029222951279016,1.3259428103909587,2.032010624824213,1.8532991375505385,1.458656771194914,1.5401522775843342,1.404850288915877,1.5685859622718474,1.0506797024683123,1.5197042394334168,1.3803097815562493,1.1214039169606578,0.7711557835230247,1.0218429630521968,0.725065035370918,0.7299238056829934,0.6948317384348635,0.6877041331671672,0.5150357586512015,0.7014367173246376,0.6713272654143319,0.8960004036184144,1.073563448866961,0.8014804049529648,0.8774977687078286,0.5515819607342932,1.0362262819813621,0.48585737231725296,0.49465691686658375,0.47258324399471485,0.5043120965139108,0.4386814934409729,0.5820272141848939,0.8205484413623969,0.5286680794204893,0.5618902666060789,0.46274308355838234,0.4711303350372035,0.572004841498037,0.43626196419703667,0.4910682492351578,0.4438200202566565,0.67870141857327,0.6848209355742433,0.54373425946975,0.5234806322560972,0.6527591444014456,0.6418447267105728,0.5044294866591327,0.5120742295945757,0.7709025410309042,0.5093831296245046,0.6294540378793072,0.4687370614090675,0.5207463969023018,0.5620708694978139,0.5593664251326157,0.737555952602459,0.7253435059992638,0.7045175412899383,0.707782623672608,0.5674606828755606,0.4726819592977798,0.3966268468583226,0.37844660942675934,0.39160575577114215,0.4194749747834394,0.5027503314686597,1.217761705454298,0.6962092536349829,0.4709946113870144,0.5269127562661363,0.4574026898598657,0.5451367730127605,0.37714994433228805,0.36203645287368297,0.5006490093607988,0.45925019734984185,0.4356146248747203,0.471621602392827,0.48129845993360487,0.5290618013214865,0.573045780447064,0.49984650245184253,0.5089841422979784,0.49368057045725483,0.5053177898299233,0.7450052666873314,0.8190701683881477,0.9503500123062735,0.6310662952747612,1.263246432368672,2.201892833131214,0.9049394607125691,0.5572013794960138,0.49218236802488047,0.4450341219217749,0.444846360721757,0.42516770079342686,0.3777262676712771,0.4314038126951,0.5187774834338197,0.5129596882693049,0.6624726917957224,1.3800687237358618,1.063744086076851,0.5989083022869315,0.5027734613820944,0.4895895638374327,0.444405224006837,0.4718167632677034,0.4423787243182212,0.42877149276128773,0.5384025064234211,0.5589250347500815,0.6139687130019867,0.8201001363044468,0.7875708424171896,1.1475412434514098,1.3105419491239976,1.0152768357551998,0.7631118921996994,0.5829362631041621,0.5470068851992309,0.5046653671351717,0.4554116459082041,0.46813502590602973,0.5164342730225807,0.5945625878156547,0.47886658430384466,0.4929046619058895,0.5136125384541953,0.47684399583921594,0.49932832052626774,0.57466813346315,0.5684836962128085,0.7060638823105115,0.789346086786756,1.0334451009302286,1.9366533974759437,1.3677624399819934,1.326338045418016,1.1822970027772537,0.9325994377418718,0.764450381926813,0.6800753646134933,0.7244521028146774,0.656588057640294,0.6562188321605943,0.6767533516122264,0.7125415152875193,0.67163460540695,0.614842698902981,0.611369083060483,0.6724617232754619,0.6724755860922554,0.6151825490805298,0.790385339702098,0.75088730444646,0.700352438906655,0.6813375699791153,0.7436468003944721,0.7900397241881459,0.768431402096447,0.8426500345866074,0.930827608630498,1.022390102232249,0.9470180212487208,1.0329809995826875,0.8833835404837181,0.9233352619397508,1.1405721765909895,1.3326031485014673,1.3932026187751791,1.4381401969162384,0.9517248016757988,0.8892232779569988,0.8950900903322935,0.8593093923536661,1.0319964085386462,0.8666180196796696,0.8577768762900986,1.0929256367921591,1.213114598960764,0.9000084256669048,0.9157995925448289,1.3958193641525136,1.1172567915010585,1.067839455528956,0.820948697860247,0.7306619504487402,0.6892394128831264,0.7156476352578495,0.7246827870026158,0.8053203216073493,0.7131479053280616,0.6622597257469097,0.7097533201275218,0.7336730500454672,0.7406678418304776,0.6660524216985355,0.7382135781676373,0.832738825243786,0.7090804780823022,0.7743077683874761,0.8647502651550604,0.9525732270175127,0.834006841171639,0.8896652816956763,0.8331947627565899,0.810504799076982,0.7372719618754603,0.7725163878720842,0.8901952028010002,0.7688721781085788,0.7776719812148637,0.883233902123437,0.8987614097368065,0.8709037357596828,1.0074686050241144,1.248574879561028,1.015084893549796,1.1404004971190849,1.2093807958463425,1.3830846932602565,1.279252950028991,1.231637918678516,1.2946095600767924,1.314110694444736,1.3488605953280735,1.025216838586129,0.8777875379646485,0.8203908847425601,0.8443094387454783,0.9654228028978792,1.186014886697405,1.309238415651001,0.9422631111320642,0.6836458657936767,0.6343871532395918,0.769169409780053,0.6613531227268563,0.6698170404271055,0.6240051410632451,0.6792721505981134,0.6391584493442746,0.6518117154853715,0.716733847541473,0.5482013442816499,0.47889878307154243,0.8227409512130589,0.8837045485918665,0.9395463925319557,1.6497894425180843,1.7954320273274456],[0.5054100960488467,0.8234210014770191,0.9329330091040361,0.4293655066175193,0.41081075484081603,0.4354025813575861,0.406259362394688,0.4440190035679299,0.474026956577945,0.45722514721777896,0.503985518930351,0.5724828890768607,0.46347567893458225,0.5130610724252971,0.6138818495490681,0.5393106323605102,0.5204509936241173,0.5369280686053078,0.5904298142491463,0.5628257178664291,0.610396617786655,0.7103763420624002,0.862611727857649,0.9359568012407851,0.8294605305085784,0.6958410948321126,0.6114170920756472,0.5082106268102168,0.5164513946864363,0.4798756608339927,0.588034229037849,0.5322915943427368,0.581063814074004,0.5492863161080622,0.516441987390074,0.5070287632248236,0.5202334756329281,0.5383796354160122,0.5378488108060144,0.6095678353021884,0.8407397476354566,0.6584404002120773,0.6605113191797827,0.759272535609685,1.1383117005727295,1.2942952761631519,1.520245732297145,0.9198975861837388,1.5638905919418176,1.5583640209817655,1.3030367344843141,1.9978209242829383,1.7878524702587804,1.3274608033237598,1.4601223274366182,1.309935295800822,1.4993601889495112,0.9998753201329761,1.4553454898112008,1.2709378466182697,1.0731936399756403,0.7778613298205355,0.9986691692984531,0.8011050520884988,0.816069517504013,0.7042315268980108,0.7692260777623,0.6042353578417482,0.7779351159046674,0.740171395437803,0.943362157348133,1.1355545453821234,0.8791302531451777,0.9494076526765602,0.6586745554752593,1.1251513220944147,0.5855183800482999,0.5790971858022201,0.5544217697275052,0.5845007764161863,0.5357020358228174,0.6202694480846298,0.9202871081302563,0.5486110185017201,0.5966468005939296,0.5190869961865109,0.535235223488668,0.6256687138393406,0.5334225099697895,0.5701754165760019,0.5508485221532574,0.7645201206694012,0.7746573123659266,0.6379808420639352,0.6003566413512869,0.7237159233445942,0.7036161717257758,0.5705846255727723,0.5650693222679213,0.8045227860351248,0.5566961782307025,0.6617236450124854,0.5077004303548871,0.5066686741214834,0.5524499867875511,0.5190240909214247,0.6922426260225375,0.6845784779023254,0.6668598383163681,0.7043298425199198,0.5132127256293832,0.4629251303159988,0.4127831272683935,0.4115316742152424,0.43601630008567277,0.4782061019077675,0.5538011802735251,1.0853907439164618,0.7686188529740625,0.5617564430005723,0.6124107364056064,0.5428510827808564,0.5709205842195134,0.43217645640078,0.4101027174348543,0.5536142882869871,0.4500227816066005,0.44987570913997277,0.4508774660921651,0.48549476040139233,0.5292221850367405,0.5502927283782896,0.48329340506496943,0.5079202182423703,0.4772226792509425,0.5062190494848365,0.7048432903022356,0.8215986562623149,1.0415710345664226,0.627237820614062,1.3904765882897099,2.313295322697018,0.9544655515835605,0.6305738505041389,0.5585314972166301,0.49028555582344047,0.4763873406149809,0.4543873683786676,0.40831142801976383,0.4526610004051676,0.5214171590471232,0.5672842787570319,0.7107880168933023,1.448265699599547,1.1397583432299283,0.6133892515318895,0.5340089857809365,0.5015521392879304,0.4808987332527304,0.46411523368137836,0.47007624425073036,0.46302942010226367,0.5396049811557665,0.5545018438309923,0.5910392884375282,0.7492780732329788,0.7116638345413432,1.0460116553844372,1.2225270854890096,0.954485685683803,0.6927435783722432,0.5396531607876408,0.5271635258636019,0.4948999919453187,0.46223937194523207,0.5018428456252639,0.5700884808796832,0.6274489803916609,0.4988513436034778,0.47951450823486685,0.5059135432229874,0.4617128861954678,0.46820371697145186,0.5478426544646853,0.5679171045360598,0.7218859299687175,0.7987497576280406,1.030624872518206,1.9409330633745963,1.3979164395210162,1.3404961296855482,1.2975991144163628,0.9182499657818743,0.7428442725024568,0.7045245394886679,0.761874856893023,0.6740214642209834,0.6471550804492585,0.6528040013955498,0.6695956973405387,0.5910663352471578,0.513085593263626,0.5221236029829426,0.6000195533940273,0.575068890995156,0.5181731031527433,0.7613109495974206,0.6772238298539569,0.6314792764667208,0.6239904267330306,0.681309508886537,0.7427450115095656,0.7448844739283026,0.7403179250524385,0.8970860764170951,1.0106358639403212,0.8946891165384534,1.0081303265991162,0.8268416930160337,0.8699777923173829,1.0758996308867987,1.3242977451750975,1.3464789773658636,1.466444108938264,0.8875541977739805,0.8142906817628239,0.8173953625997411,0.7696656883635666,0.9464625628066764,0.7921182048704394,0.7876387228809275,1.0226515806513345,1.1637085736174677,0.8384214454723389,0.8635699720411534,1.3212028850446385,1.0861669915100802,1.0794679370568003,0.7800818647200217,0.6645986191795328,0.6310303042488167,0.6317645156886006,0.638871215579839,0.7272411285236869,0.6286810349895242,0.5554131020138071,0.6062782805931739,0.655791080638094,0.6423133017872912,0.5591187464546538,0.6509074103758228,0.7684378863855484,0.6307914671193902,0.7184615931657348,0.8196411308002653,0.9107707244647641,0.797011204679082,0.8531013496965156,0.7897260371322897,0.7438071861861678,0.6546772908447065,0.6825573431581747,0.8159337432871877,0.6931777934311631,0.6998290539002686,0.8115179664115443,0.838276295648947,0.8022260204451536,0.9368698347030833,1.2056741587834123,0.9798548553520466,1.094845827423237,1.1608715386114348,1.3512561740474605,1.2480905022077085,1.1970215654402108,1.302108012241661,1.3346414816707208,1.3345753122552968,1.01780651283354,0.835261911296452,0.7236064114428242,0.8440801998213429,0.9922462995952923,1.2431903678348568,1.4403039823021206,0.9641566938311441,0.6668403985112278,0.6034573763066557,0.7388891382645008,0.5934274973139638,0.5360602410874226,0.5107075246423354,0.6607775691452752,0.5270404389155866,0.5634048459084959,0.6290360683199373,0.5031832549495433,0.4479206228186745,0.7775183662901056,0.783453803809275,0.9576233830451926,1.662920250127346,1.7599299994197501],[0.4863086791458466,0.8231729913731446,0.9517177727915572,0.39824715355037316,0.40810918497479265,0.46853297338672095,0.41577181044379596,0.45760457163501367,0.5036440185967515,0.4465961941197648,0.4682073130748726,0.5801440007429106,0.4508311477278508,0.4562618547968585,0.5317783728670888,0.48670104588585567,0.48072811137177474,0.4836911201736121,0.5388367553307439,0.49175676502241167,0.5443501303794309,0.6645004976139782,0.7783559088630175,0.8495880640764799,0.7287228288387402,0.5991018224953657,0.5189677226609114,0.47009408940641095,0.45660778629088045,0.42670427965515484,0.5397040153330671,0.4847832749700867,0.5541208078596079,0.5110891931565709,0.4639314044424909,0.46396482995809,0.4809726949762782,0.48010443691808047,0.4766892257456108,0.5562254751444041,0.8048885059646824,0.5698871865902831,0.5697763648125131,0.6776321595408048,1.022092424839767,1.2056453777048288,1.362099497948625,0.8427380716767746,1.5702880226297333,1.6277416460398326,1.3515173739860298,2.041077530363131,1.868356204998008,1.425126593781792,1.4968164665362058,1.3609989225967762,1.5241106931623059,0.9840892135757686,1.5006434793269645,1.3251720918936978,1.0810642918455304,0.7844204935349238,1.0968079167379372,0.729325031084081,0.6753229764602643,0.7010932192498094,0.6860341099768877,0.539981062221431,0.7119524346297148,0.6988316802035524,0.9221904986864218,1.1292154218867048,0.8465180209504303,0.883262308064282,0.6067808152895287,1.074597137208992,0.5105937707786025,0.5222374952886769,0.5061229163692992,0.4972563756872162,0.47653963939490823,0.6063444088820632,0.8817249224443179,0.5187211602934643,0.5397248215869213,0.4845353871066606,0.49674320387958854,0.6141821733209544,0.4667723747448958,0.5478690278437889,0.4990216730381236,0.7183547654053746,0.7092319688039208,0.5986112841256483,0.5816586868965082,0.7016433495959197,0.6879572361633562,0.5588411265658441,0.558234129687982,0.794047396120744,0.5535226985237311,0.6619799631623582,0.49552793647423654,0.5295511895237651,0.5748364407955254,0.5464895858909558,0.6967659707883926,0.6438414085910222,0.6340825930724816,0.6907972786541831,0.5293734943285403,0.46793523515261354,0.4127576735074177,0.39020432116010156,0.4432789321114716,0.4455945615880973,0.5222011367943703,1.2120067521358424,0.689261341142034,0.5211015025498399,0.5651064728575169,0.5096040465554066,0.5559411961853213,0.42738582322499136,0.40034473215873634,0.5106412553588032,0.45105223436604325,0.42760967064182176,0.455495051065934,0.4589238878182396,0.4520623240066993,0.48999351511716466,0.43115103022490575,0.4621115879193183,0.4633307820976106,0.4635191491567538,0.7899969526538384,0.7904777005542761,1.0974663845420884,0.6479178248384715,1.387119783350029,2.166579856780977,0.8705775926840854,0.5691050588001537,0.5058162470442018,0.46243649798393444,0.45648461081501607,0.4591911417701756,0.4092440037811024,0.45924793187404084,0.5305368386300848,0.5374777977904421,0.6765647067396896,1.3926790760533079,1.0839216617101666,0.6270021409933076,0.5344016018958053,0.515904015678192,0.48001420757476687,0.48656539973937957,0.4628409366573805,0.44837472720014776,0.5306597626882193,0.5340557282233442,0.5854695527406993,0.7852389691799698,0.7589501685200949,1.1059575343217365,1.2966956769098223,1.0443106536244922,0.7727817949480784,0.5781900215617211,0.5250995167773299,0.48886925823953736,0.4531428243889342,0.4825176006975827,0.5308277254208675,0.6226567968504145,0.4904515648366138,0.4898517273258725,0.491874077712277,0.4781636391894243,0.47292347920008493,0.5200151990598385,0.5347364017580781,0.6707116017568533,0.751062658889474,0.9702859257157904,1.8781369217650712,1.2692852941396022,1.3375415041186762,1.1341839926013249,0.8900327100588551,0.7233924312924818,0.605026506262697,0.6045090361244077,0.557461076558831,0.5524456021325771,0.5757866892063094,0.6084256370660118,0.5690971394474079,0.5220004725647951,0.517191408089248,0.5940863919909857,0.5757050883958486,0.5252854985525529,0.7787022464001245,0.6711427736751631,0.6271422806009781,0.620131782963612,0.6710895282599618,0.7214353566056446,0.7201153215938696,0.7309443737209513,0.8693801936085679,0.9951891578565581,0.8628614401649684,0.9799071486666093,0.7997084390719941,0.837183339287668,1.0300825077009224,1.3271045165688204,1.3211844830614001,1.5002387605279432,0.8773300092066393,0.8033764174122519,0.8075589779822367,0.7531390023184692,0.9260061854349104,0.7662902009890271,0.784631697189768,0.9833016176641717,1.1389243783507057,0.8116100673961433,0.8032063803227956,1.2601600885815378,1.0392425939894403,1.002064597969135,0.7302565258227357,0.6193254772946071,0.592843572548508,0.6239464474024821,0.6418487364177027,0.7468028785573038,0.6457873307687106,0.5682321309432622,0.6193401582278618,0.6674699676006199,0.6616145360909521,0.5745225663505649,0.6547701373860284,0.7660803693613265,0.6291031864035961,0.6984803782278461,0.791033454797362,0.8932400084263687,0.7615918084989058,0.8076069176339391,0.7595362600442289,0.7258920492250304,0.6550251788081463,0.6800395700375055,0.7941001736242874,0.6877602128726501,0.6957284459178094,0.7887861845776764,0.8130870753101846,0.7832764607409194,0.9031264083746378,1.154211628405205,0.9499468002178344,1.0674981623841104,1.0917979072463186,1.2684607521343374,1.1873325918056672,1.137255282739699,1.1924213088700786,1.2477533807173289,1.2772872398687987,0.9955267541311911,0.8270951386104338,0.7213507047101635,0.8541462753292232,0.9474806590631065,1.1505764052880032,1.3036667216145945,0.8516919342633558,0.6228041295930996,0.5440662798706584,0.7921086827225075,0.6041683907802073,0.5750927968657532,0.5409204135858858,0.6368461469020338,0.5776120071020031,0.5906665683521207,0.6747128959169245,0.5237560990133618,0.43950693441986444,0.7881367202619076,0.8231651750842219,0.9210888750563094,1.5584672911299033,1.7260443093356375],[0.6315268757191245,0.5742455578350195,0.8078971763683357,0.4796182960704678,0.5132517009370114,0.5850549064508211,0.5345216159600004,0.5516171430657428,0.5537165430905302,0.49394980235683816,0.48164011656138506,0.6026952706845892,0.5037285524846488,0.47134356099878905,0.5303871840051355,0.5194301344309744,0.5195139151369367,0.5035175617176992,0.5572981702067106,0.5276130636134613,0.5799612681884152,0.7091049832084193,0.7750247820824324,0.8472836251615222,0.7209149886810232,0.6203095799567095,0.5550510552318391,0.5201491756419048,0.49387775255196464,0.4931991905689545,0.5586875067813385,0.5414148915609989,0.5928351707367089,0.544846868317971,0.5192945245488939,0.5171085648198328,0.5567931588294527,0.5419349451031571,0.5507934518243759,0.6185365014694064,0.8337399625153776,0.5949415478008825,0.5925886973867069,0.6721501687107635,0.987583723689073,1.2131460246223316,1.2922080910302798,0.9001839924990812,1.6734173758654802,1.7260528176458485,1.4417027870509065,2.0946235727899727,1.9140839144606066,1.4241238299275063,1.5002604297772555,1.369473954207055,1.5075798477226439,0.9682859544926313,1.512883033283591,1.3061714738888397,1.066460792485406,0.8226434445239926,1.1612713210188836,0.759331603127614,0.6734595094164353,0.733713881507188,0.7156657747326481,0.5573537113173594,0.7160515077575108,0.7061155331571706,0.9591042781504001,1.1572657090934546,0.8640794574052663,0.8747055896145479,0.6223194400459365,1.0716917590190236,0.533705028585487,0.5453679268217119,0.5483120586211959,0.5354658160559964,0.5526528469115902,0.6889403990368339,0.9566830321260691,0.6312966742529655,0.6292760443586469,0.5824372409229417,0.5734805745009394,0.6756205846864859,0.5167402421829392,0.5913107301910075,0.5221085725354273,0.7158015415081437,0.6909714310324686,0.6018572326874622,0.589960328062842,0.68745877612602,0.6788077129273591,0.5818603423515187,0.5927412754057477,0.8249131485358591,0.613184548090822,0.745255465375738,0.5957407497965598,0.6497816365081195,0.7112266094774444,0.6776066962080239,0.7632271498726941,0.7477074118074398,0.7502388621143663,0.8052570324017493,0.6720263447101895,0.595548128492376,0.5392092636099319,0.48893699008555563,0.5124761743132972,0.5000331620387284,0.5623682659785746,1.2170722990555816,0.6593474736820902,0.5461170169185258,0.5711183280531078,0.5240897949385451,0.562552191531295,0.4787987653065061,0.48194405255341727,0.6247972802959444,0.5897783958904068,0.5609274500855161,0.5852273272900302,0.603913981317706,0.5498226296674168,0.5819004068411694,0.5271983508220414,0.5879268402492698,0.5538860685169085,0.5508590012809075,0.8939164241243723,0.8053985398778021,1.1783199626279601,0.7005150357466149,1.5112661687306828,2.1130774774044556,0.86981002343524,0.62306744948733,0.5716849176743884,0.5434674276188491,0.5407025284775939,0.5456849104189804,0.5305718919304943,0.5568233718530449,0.6396028112077782,0.6049723624334267,0.6978378395651506,1.4254904100390853,1.114381577854696,0.687015317101842,0.6041427458507599,0.6126121049422064,0.5785202947093129,0.616939236645772,0.5963580658589248,0.555207535173465,0.6092039722367989,0.608253759621334,0.6280470389234569,0.7819681474887398,0.77559877741577,1.0686191334821182,1.2885329271199581,1.076420239673422,0.8152439678075604,0.6373843760120821,0.6095145378551822,0.5974412369383159,0.5764622716842399,0.6098930576352422,0.6241456566440639,0.7275824604475144,0.6143987757980077,0.6199415925326522,0.5983625375677484,0.6103924414027222,0.5898082153968307,0.6114006489373215,0.6213032589432942,0.7486646819539035,0.8044131646815821,1.0088537126443073,1.8569995334320148,1.2709881209411467,1.381129168010638,1.2257489542726427,0.9657966226024675,0.8129059388208324,0.6469809173150317,0.6246941461277321,0.6046187965028447,0.6058405944811295,0.6371065597080232,0.6972928695694764,0.639177613363325,0.6180573882447196,0.6215102516016924,0.6791909931902455,0.6474003543058541,0.625085607440054,0.9182279238625208,0.7315150550766651,0.6873464648027757,0.6966169548660245,0.6900902966271076,0.7278076927704272,0.7849354513281733,0.738235315113362,0.8238220796519602,1.016627465191828,0.806881978444077,0.9176060569373092,0.748615337642979,0.7839848952288467,0.9535200770049996,1.413785640605538,1.272837001422717,1.5282331831196523,0.8642361745338013,0.8232174396723422,0.833152702046663,0.7805792633393662,0.9450279310010434,0.7927482546770627,0.8386717011584489,0.9121203665599553,1.0712144919169126,0.8325704016221971,0.9159753097786506,1.1878798845785565,1.0461382202775809,1.0929882578092653,0.7901827273630203,0.6653133429562688,0.6374217774229635,0.66280805669448,0.699255528737676,0.8076973665960555,0.7437728031713733,0.6351644233854336,0.6821423635138893,0.7513268965316713,0.7332389727117373,0.6541824143788753,0.7122592785520178,0.8093622190098897,0.6860367285252559,0.7325894066745169,0.8296306260655638,0.9476418134910911,0.8072557059719276,0.8290769713213413,0.7729919441359391,0.737903307456036,0.6959382314701946,0.6956418181261975,0.7806251730264487,0.7122059308769476,0.7087005640036688,0.76108311037785,0.7799010682400246,0.7708692013802463,0.8191423633714228,0.9881624673027326,0.8660931714139081,0.9990389459137035,0.9539097231284306,1.1076720437662497,1.0457667144020732,1.014462330460571,1.0633019965758126,1.1839877819151656,1.2069364136723282,0.9454648654929836,0.829297494667426,0.7394461417191284,0.9250040243241431,0.9257537374287771,1.0676092473082195,1.2616066514662494,0.7972044998938091,0.70261706759279,0.6398265498296074,0.9267640232351628,0.7250182134216904,0.6687407309439949,0.6168436680736543,0.7189228316564543,0.6941541134403537,0.6655642019871088,0.7562306100173065,0.6319987787119153,0.554985881088407,0.8416541171518843,0.6931725770971859,0.9158531639761742,1.2566392334072458,1.5741446242838846],[0.7672179067735198,0.605436301917194,1.1312720395807752,0.5998528180959274,0.5541610041207218,0.6209625485629098,0.5466965323980573,0.5659909081325926,0.6052431243086255,0.5855003797130084,0.5676994855566851,0.6433516414102952,0.570074012611927,0.5693185291124719,0.6087713127641771,0.6150102451990676,0.6286176453185911,0.6228046049274655,0.6849710615910387,0.6469785343437331,0.7255144116854907,0.8486050013088545,0.9001128550390898,0.9536624681952067,0.8353211444141131,0.7495054381138745,0.6706470271514277,0.6462212664766885,0.6170444638699495,0.5893620618345026,0.6378041817399888,0.6359445623664978,0.662795518492156,0.6361770317957349,0.5976124364126414,0.5845371890112251,0.6044791245741643,0.613259767613135,0.6052156700189685,0.6348634640185432,0.9141994877525123,0.6815130330520609,0.6756640907892324,0.7446666912565788,1.003063301801775,1.2012554218361902,1.3144766876539917,0.8850553879785109,1.6069588975522833,1.7540972489138682,1.435566694454509,2.05965718661119,1.9461259994649007,1.537139307195949,1.595503317341406,1.449405095145544,1.5918855570708923,1.1385293096079288,1.6482215553288335,1.470809231627056,1.2042890310977215,0.9343140129451549,1.0179074015497511,0.7903065891694426,0.9277558033526813,0.7605987062055968,0.8270382004900032,0.6731900612843358,0.8459706466146867,0.8195633905631183,1.0876751781512084,1.2240933213481437,0.9686411809913765,0.9849515779275535,0.7568579050620963,1.0792065528434258,0.6799321805239867,0.6382404155942957,0.6383264071487768,0.6628545638178966,0.6061420488318697,0.670581790677483,0.979875075331236,0.6241792111270503,0.6373208115670584,0.573172833263122,0.6260243266999488,0.7121013985433583,0.6304436197995759,0.6897226937129816,0.6303378805957255,0.7811977174380854,0.7278102723187523,0.6652090446355517,0.6621436693308002,0.7215252796186503,0.7447043798582494,0.6533983925628669,0.6600757337885236,0.7767231111023066,0.6314506998373005,0.6844277901252049,0.5919361859392192,0.6166732578714718,0.6269401054323571,0.6489346012818265,0.7971129331478048,0.7582867205154513,0.74537505906918,0.7303036430331292,0.6204615419054178,0.5682295222536029,0.5520619128914112,0.579168386115957,0.6143652608352359,0.5988587317810182,0.7131083184824093,1.3648308040785426,0.7380557457304139,0.6749314417192297,0.697288126573224,0.6687487671045337,0.7346802740085209,0.6405780708063337,0.6109542772894483,0.5701458543556145,0.5498002966873864,0.5483323359058692,0.5488182021535968,0.551409548168749,0.539029818139952,0.5813068431735209,0.5265684613605893,0.5621736060526986,0.578331772528507,0.5788587163990125,0.8357007687080575,0.9046946094858471,1.3404469982435772,0.8265355569553782,1.4159508498671263,2.039885062355003,0.982316547253075,0.7408376914388165,0.639492253452944,0.5933350996197326,0.5867750640327237,0.5987428565843909,0.554350796590146,0.5849725742764647,0.593931171512298,0.6284026583729398,0.7858891953001432,1.3085465686609672,0.9831282857707495,0.6608809604857928,0.6168378473234541,0.5859440491422437,0.6003980346853585,0.5588183335718544,0.5539860814768545,0.5568027922543478,0.6221240951920574,0.6240951655243654,0.7204094219351236,0.9404097367587996,0.8674069030679739,1.1998506934521895,1.3660248866215512,1.1483721621808276,0.8754783983495118,0.718329710663955,0.6321810315219911,0.6172854740084515,0.5834051894973344,0.5741475837570866,0.6124643269789762,0.6460236006962505,0.5970403775726922,0.5849916920726975,0.6104946546598171,0.5720359793408498,0.572381627601949,0.5955766504141493,0.6081297866407469,0.7208706184841308,0.7919912496196956,1.0165217527072101,1.8318832660612074,1.2273627593372978,1.365299205973381,1.0962094325456613,0.9392221821160402,0.796846473767158,0.6452990251473105,0.6114980558200168,0.5807754025695889,0.5989044642517113,0.629275696691423,0.7156607421801613,0.6358274153630876,0.6174212358957955,0.6342549076410103,0.6479648609606494,0.6263020084052003,0.6013694954596726,0.8225975293814168,0.7145742561978136,0.6296648330480147,0.6290068011169127,0.6864468212115402,0.7059667144465048,0.7231840103836105,0.7934416485600928,0.8377942928593576,0.9455854639457797,0.8315500858835333,0.8695165261093959,0.745536117025136,0.7683817666009258,0.9417840370055718,1.3422175702341674,1.2535222595548627,1.408276554432303,0.8424843788147877,0.813707717073389,0.8457543673440935,0.7940759167300057,0.925980236804883,0.7894798937725744,0.823624294131216,0.9574872323838266,1.0964611669030115,0.8342379224733745,0.8717880546523084,1.21212016612671,1.0441131293051356,1.0438516840060632,0.7609505210954246,0.6773868673107704,0.6464684060479944,0.6743097998839843,0.7133839555110196,0.8081549308990343,0.7264638264756559,0.6594054291392372,0.6878612776014557,0.6969470905776669,0.7182737175253985,0.6469434087715453,0.6800966969246339,0.7790536530556159,0.6550944631976523,0.6667926549396463,0.7590891605258745,0.9020259308802728,0.7297505075417142,0.7457146147890551,0.7107450101114854,0.6885399163620146,0.6801469770875664,0.6650659479912331,0.7555274156846576,0.6870692570065199,0.6847264345112821,0.733529863916168,0.7520073715281259,0.7517719548330432,0.8048238055663095,0.9585701117441345,0.8412209666874955,1.0004817482182295,0.9584871749489563,1.1418742657210645,1.0396057717742284,1.004320441037004,1.078493537076534,1.2267690471820478,1.1728119155740804,0.947662595998689,0.7977131329131043,0.720153739392386,0.9312743861080337,0.9458170896728184,1.0740173417085113,1.2638047055927113,0.8473102406683416,0.7087577301677646,0.6323311171758322,0.7851527878324334,0.6485481506428641,0.7108688806394731,0.6216858597439361,0.7253957428052836,0.6820829867088518,0.6210826106136336,0.7130111247585578,0.6370034589756043,0.562854006938347,0.7772465497238852,0.8317960571441976,1.0605430944827723,1.1634568817299815,1.632417285184999],[0.6851334158199458,0.3316337586736102,0.7161204894035298,0.3401168295065324,0.4401879678329403,0.4309983479430903,0.38114677143868,0.3918239324184883,0.4586871793585774,0.43238863909832215,0.43086977527322656,0.5623904346276751,0.42196935637348787,0.4411930376580764,0.4967545025814941,0.47549141801551076,0.4960048369491538,0.5174551720510329,0.5830175498200693,0.5511494749408303,0.6048266995797514,0.6803599462782381,0.7707731977493922,0.8160104128984091,0.7699275627095368,0.6401904074963243,0.546249165170083,0.5503292933899483,0.4967607967238559,0.4321276191830839,0.5164472658892681,0.4835301969753097,0.5438530074151132,0.5097067509009711,0.44492011715557345,0.4475825865670143,0.4654292153836262,0.44105712313095013,0.437739539408672,0.49405043526495124,0.7611058783036595,0.5395714746464039,0.5232424805002575,0.5666598448543428,0.9049187696875144,1.18095694252751,1.1873997535333976,0.8042814315234151,1.6347840822784179,1.8103712317650886,1.4337723517695005,2.0284267440832027,1.9080528828402026,1.4153165947304769,1.4846617517914984,1.3631168381642298,1.4404415730660305,0.9395759015227907,1.5518867247933967,1.273021742115112,1.0398867762280193,0.8079900842569961,1.0363623022770763,0.6733910632725425,0.7440858945100937,0.6295359388900509,0.7646921652154892,0.595101305443984,0.7665103415169974,0.7711264071706648,1.0567058316676026,1.2336281873609136,0.9550528285315907,0.8959386316981315,0.6757863262832462,1.0381979218506392,0.5534814776322006,0.5385666680628411,0.4951676674388303,0.537401888153408,0.4541343405258682,0.5514933023529995,0.9167173458973876,0.478721224099749,0.46192812487601737,0.4454991700279023,0.45132923006840253,0.5910985671050625,0.47555714718163056,0.5899433699178834,0.5069378202746155,0.6855304270051518,0.641968380852292,0.5700404311260466,0.559994020429856,0.6421923537611719,0.6697791036811952,0.5476219874242609,0.547138330614521,0.7206668701642839,0.5085506791187538,0.6017361489957301,0.4539341496713807,0.4881500293268763,0.5361892049264099,0.5118002423349457,0.70353603660269,0.5223538228605875,0.5326568594968151,0.6750477044618792,0.46539700961707237,0.4301396999965801,0.3746283411303671,0.4238866582143628,0.47577850769400976,0.4928235757123038,0.6519366604762603,1.330836966567206,0.635008309380931,0.5999633952702592,0.6151102579793603,0.5682065928727864,0.622354585409181,0.5206209037560209,0.4644102875054907,0.4350651845391539,0.4150483669013267,0.3988118803618294,0.47988481454825554,0.47133519643445987,0.43407737839764726,0.4563216603815177,0.46066926717841766,0.4823532925800984,0.5562848562200541,0.515307254687194,1.0292698857446918,0.9839557710132779,1.61489563123303,0.8714907840618451,1.6406943709800283,1.9939842090630722,0.91772441426197,0.6956816658313185,0.5212243367005939,0.44675125156102186,0.4616540581907848,0.4454106116311082,0.3752232718887007,0.39536257822742554,0.44889911928864107,0.4756672176132963,0.6650512253383283,1.303123056372211,0.945272612490736,0.5496941816662491,0.4587377594140708,0.44520501655275785,0.42921754392115913,0.43100561319694786,0.40970835533044,0.4190732035973609,0.5614995244626232,0.5157931071184368,0.6573749929829203,0.8987618602808511,0.8666731077090291,1.1825373392447758,1.3971186605300174,1.2124647314765677,0.9403493324865644,0.7241573841544138,0.5759074357370022,0.48239583465009295,0.41065235149067775,0.43957496184579864,0.47364790830739056,0.6013041280154247,0.42692328600853857,0.43998997381264593,0.4586086405916131,0.44779223520422057,0.4858916490355096,0.5338384774000866,0.5463839806624088,0.6075248783831451,0.6368308296994404,0.8285964174168455,1.6413039130601261,1.0033319105458487,1.4730895959696544,0.979753373061138,0.9103455022526713,0.7829533426591383,0.6032563011671519,0.5139932411706223,0.6007181523980798,0.5181072608509243,0.5614070150231387,0.5358656114157522,0.598558811074178,0.5579849207775468,0.5161691736197555,0.6732821326989856,0.6564566062195772,0.6144900517699123,0.9623225582807676,0.7761214084649717,0.709868972347432,0.722769971399413,0.7372367534439829,0.7494892345800351,0.7728873643620907,0.7725063325074248,0.7922311783885458,1.056729528190986,0.7889750298816148,0.9647151399481438,0.8020397753658148,0.820641374140565,0.9767020776191202,1.5696927161308798,1.296002482886006,1.5671224213155768,0.9171523752550074,0.8738030722302405,0.8585244309162269,0.796972458087153,0.9758563173112822,0.8036798808673025,0.8159741432962077,0.9098567952930287,1.0866061403821141,0.8048868622171849,0.8406074692028359,1.1144453230926352,1.0489096115874077,1.022973558941107,0.7410150638708362,0.6063921134745879,0.5959124978150587,0.6294104126197849,0.6428170813912933,0.8133040170379436,0.6715784079754242,0.5787801490365335,0.6568939635408675,0.7157545010777492,0.6637769621544093,0.6359777287908106,0.6923681046824884,0.7892129333874662,0.6718997519349726,0.7292566697934667,0.7907987969831032,0.8996071490766978,0.8008234907254532,0.8128264889511679,0.7825274110008461,0.7474789283496951,0.7042155023992357,0.7164426146790989,0.8006742115239808,0.7541853678009321,0.7437217044180282,0.8140989807667438,0.8362906809248613,0.8237467260309658,0.8668170794204961,1.0060460755723326,0.9296868329973428,1.0339251179537425,0.9912751447842498,1.0915101203294517,1.0619526192196345,0.9995096281487807,1.0116451474289796,1.1517482550829252,1.1748314848067802,0.9620499152431619,0.8802716028084855,0.7488441228015398,1.0287667936057883,0.9086497008528842,0.9507610599252503,1.0921596961441544,0.6962880551758709,0.5413203675928545,0.5085796510764014,0.9005387147271813,0.6134120298895306,0.5274242467533881,0.5237739333140009,0.6123573230301754,0.5388943870523865,0.5952799010548452,0.6736331407456788,0.49261509455276425,0.4502906298690254,0.7773476706195416,0.7104266121100095,0.9959936662893697,1.0794230146751314,1.6181686685909593],[0.9596276111189914,0.37474302591159947,0.4951078136684194,0.28728655583338353,0.5191477748958575,0.40535453998285814,0.397462501143247,0.3570432965208302,0.46204703149491816,0.44583748215619495,0.461840477943783,0.5988023773469348,0.449133336177199,0.47425764782454216,0.535960379881011,0.49476845084491067,0.5105563877894519,0.5398440497412805,0.5938243871631095,0.5481071484018104,0.5705951598503013,0.6400332784182223,0.6961675375205489,0.7408438551147628,0.7511366418538651,0.5921558466215776,0.5212571869237889,0.541304029986497,0.5061415936577944,0.4090499924097822,0.5250762126238997,0.48982117851478935,0.5651448449675283,0.5328526921370256,0.4476080835189966,0.44642242455723624,0.4532330576757535,0.4256251745501579,0.44012165780229806,0.49729563451977543,0.7806946596168769,0.5383070441201877,0.5225581872214405,0.5838250835673422,0.9223057645476067,1.243940773412894,1.1731205462478174,0.8094362630243902,1.6782690948599503,1.9048206124097917,1.451883746026186,1.9738058813265538,1.8650285341785973,1.344391552395006,1.4027783660566204,1.292638093725524,1.3272426832574074,0.8399030496194748,1.5463005659856959,1.1763883750056106,0.9606311311384139,0.7799838087184646,1.096976997129354,0.657109147422242,0.6592596091030403,0.6004356276179101,0.7431645134892075,0.6173837088440797,0.7660169550315157,0.7949589670417452,1.102872325176892,1.2939869361284433,0.9968036059672898,0.9012484057554417,0.6863471284679376,1.0088449792739917,0.5455926599469964,0.5554271043571323,0.47630294425722375,0.5238813446533918,0.4616020240703916,0.5473512825161665,0.8794084043546465,0.4703639354723301,0.44279928383452094,0.4414864563644125,0.4549492186792828,0.5916771026840484,0.46312941456069173,0.615346393115796,0.5260882597467729,0.6744664649198403,0.6633324318809826,0.6157163505066411,0.5982321981816547,0.6844206422627866,0.728995664431155,0.5798927783238218,0.5706066431741948,0.7144245784446082,0.4982876755323742,0.5800124659140178,0.42700066615923554,0.4695510177075464,0.5204062602117479,0.46913178613439305,0.7159575384367839,0.4262182735746064,0.4363564806808255,0.6472948769328618,0.38805365223216676,0.3728045896405529,0.35368522358911075,0.43897129473642876,0.48787599334329157,0.5191742258652988,0.6859880567476251,1.3747485485301887,0.6200814352018672,0.6184254011445728,0.6429391370714573,0.596998250730965,0.6320922236130355,0.5540857225432649,0.49902764745680367,0.43214665205294317,0.4049498148495998,0.41464981500675946,0.559517104654661,0.5485670754137959,0.5228340882446261,0.4750907670198179,0.5492671644123414,0.5640197676679362,0.6916443619779901,0.6401200845406034,1.2208345430750887,1.1041506230078852,1.7851910212953364,0.9250555483244239,1.7037967274126946,1.8341393964642068,0.8656719800006472,0.6933090884469952,0.513045979419062,0.4472603824381631,0.4705083903900679,0.44189808598856445,0.35041357794403055,0.3647301125905254,0.4114991470807775,0.4341465703642469,0.6604563516807083,1.283402420667545,0.8932921709895583,0.5145472274701829,0.4379186712673492,0.4190138104512665,0.38548236990191376,0.400564828521388,0.40319145621169045,0.4220791101817044,0.5911890597315402,0.506399522347941,0.7234279178308439,0.9405552673755386,0.9379371519058562,1.2121337580536782,1.438068851332718,1.2886576515443349,1.050572359411453,0.8208605688056531,0.6385349108452331,0.4901476116772017,0.3917647247083843,0.40785192475015597,0.4460268228296007,0.5979667207148756,0.4071391289048586,0.4423967132046826,0.4692444031277046,0.44924325248561137,0.5319670037425506,0.5553705202686365,0.5673887224740487,0.6101287810426845,0.6233646048723956,0.7856937591206109,1.5711117458158717,0.8495613910108517,1.612818520684986,0.8886920455079349,0.8922280635283174,0.8104587187551704,0.6515579741362645,0.6099101402660225,0.7961253212136449,0.6392195735032857,0.6778402363241226,0.5537684165162423,0.7220633838474052,0.6586607368895296,0.5842383043247313,0.8261732569730099,0.8078565405309661,0.7489523429401073,1.1255801123628528,0.9433006001564652,0.8572052937473886,0.8944205902400618,0.9127212562968324,0.8925623284686903,0.8671068622354788,0.9776043985833691,0.8576166830949737,1.1206903162583783,0.9005976798435776,1.092463625475201,0.9704187664669958,0.969485596740686,1.0799230162368196,1.8255534083573863,1.4045726117937443,1.71282480116876,1.0343004697538098,0.9814471294377901,0.9453017414363298,0.8968240368129321,1.0532842194697731,0.9093644337724819,0.930295980134081,1.0039775329995158,1.191562918377124,0.9181725081888359,0.9466317349258436,1.1199632747008268,1.1591083105124336,1.0655042449619558,0.8374257889337774,0.6970403924170488,0.7199251908210137,0.7648463289566862,0.7458186759398101,0.9023659744897977,0.7189271865840685,0.6575699664869242,0.7311346398013354,0.7602558438856857,0.6889077290742858,0.7209823992913238,0.7457808949009614,0.8161456418431048,0.7460251451050347,0.8164960691374519,0.8314276037427368,0.9102343797513801,0.8938162347629565,0.8925840025235346,0.903128121681522,0.8686508162364387,0.825662636803212,0.8520181282010282,0.9201773775427639,0.9136941734068246,0.898702374241606,0.9636216083789054,0.992070744979955,0.9838632680393082,1.0133153700406397,1.1309280863302793,1.085967938085337,1.1503419457550608,1.1271157968798244,1.1497431720554043,1.148791080355079,1.0566865130044096,1.0410015610694088,1.1553719079962412,1.1798331774263284,1.0009053335969462,0.9971655812469181,0.8691283705672751,1.0888392717248054,0.9482193911059216,0.920938454857164,0.9894605204802248,0.7417796422543084,0.47290380920907443,0.582076466618329,0.9680122111352597,0.544583304208396,0.4573471678953376,0.5186177648299733,0.5920414556514324,0.4400560917814046,0.5877595808918247,0.6337246212539012,0.38913645914430556,0.4082144785479473,0.7509688934613784,0.7081321630150434,0.9899864234951565,0.9507417266493314,1.6694741595457645],[1.5463218515676351,0.5191888507801957,0.4928984685999278,0.2703529912667164,0.44290330871118955,0.35288703518141784,0.31243224884153253,0.4052357959532764,0.42190743847691237,0.3642268339647458,0.41325060191897084,0.5930348592822553,0.3899393761997284,0.38006185779847435,0.48746461696419774,0.44057755588527003,0.4238528592945882,0.4777461398588141,0.4694422526645411,0.455287968435093,0.4735317660631475,0.5842883951656282,0.6090018937827042,0.6678747981532654,0.6447275960627261,0.5029567858291464,0.42677901791177447,0.42270220529216346,0.3947136351581346,0.3828815612543392,0.5086768955737593,0.5129696886470878,0.5845810196723993,0.5490424190597368,0.4740587279840477,0.4401160207656892,0.4673549934022549,0.38368324477936516,0.3827248698222771,0.44520206520977806,0.7506491907276902,0.476165227437876,0.450218338905103,0.5547298465995377,0.8595639492349685,1.199600333312608,1.1201700174081504,0.8253846859347527,1.7585992767790766,1.9003689954098744,1.480661210038369,1.9809172109087612,1.8187280374545813,1.2304908060771573,1.3154123507625681,1.166284883693928,1.200183385229656,0.7109119027079287,1.4315986161688488,1.0123456178478178,0.8343102697240002,0.7482314892086067,1.1357879340322896,0.6986519813939898,0.6130119210307243,0.5682635241939334,0.7399415123330664,0.5629916800010553,0.731389822642962,0.7642930614373893,1.0883790258977175,1.3329399451906163,1.0127574414390164,0.9221314841445408,0.7027714931575688,1.0648355329544592,0.5414138039740425,0.5524068492689,0.4978988667579809,0.5132059043778064,0.46774642051795706,0.5743383253127109,0.9387242696289667,0.4971233408098126,0.4414970859464652,0.45090093956341215,0.4359250140528455,0.6095987662736398,0.4470773475420044,0.6231896685935885,0.5301144717414918,0.6690500624747733,0.6494094780281521,0.6238297406238477,0.5889044939120701,0.6889495947242124,0.7040561489995064,0.5893670214324537,0.5967362355072263,0.8338459447331219,0.583817516349352,0.7072132536962658,0.5175320887182249,0.5662859863924745,0.586576095981726,0.523003899037351,0.7393755954306489,0.43023343029061084,0.43822467986013713,0.7044657548889517,0.44081443698902245,0.4001826367760549,0.31975634297824435,0.33595166600390414,0.3684962436671069,0.37381226979470505,0.5387965625608213,1.169419320261137,0.5092072139363709,0.48571784458209394,0.4830913186269568,0.44606621403982594,0.46131212371670244,0.3668549449541523,0.3515676314048588,0.33727274069983354,0.38349136643485826,0.36063616712911883,0.49887427704626636,0.5315327387555383,0.4536075189004944,0.43237290340538176,0.4848997208646361,0.552281059847843,0.6076458307126079,0.5534303911736065,1.1296795548068357,0.9741115836512027,1.714816540611596,0.7572008248809766,1.695857625882742,1.7969937395703304,0.7300455995279973,0.5649560953352281,0.40534560961031674,0.3769897665271542,0.37657413657817707,0.3827462342838221,0.3369712712120365,0.38578610721553347,0.5224892526655353,0.5203242557171684,0.7391174721932862,1.4118681909350748,1.0329632141055347,0.6323115723582545,0.5155244417916858,0.5255527947134426,0.4449405745474751,0.4602445542719565,0.38235812295882826,0.38614592492588173,0.49173140785766634,0.43455517599908794,0.6017741068521355,0.7935644504648866,0.8012539301061677,1.0524525161629,1.3019989355637547,1.153713687760524,0.9245049707756177,0.6836510446425504,0.5462429397040595,0.44347329939324887,0.38332827508778106,0.4574682272568076,0.4889606527293111,0.6835507542209526,0.44711446723493675,0.4866413806413313,0.4375054109144973,0.46241967409877255,0.505328507158184,0.5043340868812456,0.5054994090850953,0.5757197691272645,0.6119211218884667,0.7399293721611138,1.569430198585857,0.8861358805377635,1.5667915986229461,0.9325865812256076,0.8449318126765427,0.7514316992253015,0.5852795825536545,0.5343955090046669,0.7263399939636731,0.5627906658573617,0.6075180203169213,0.5157435646639779,0.7147322441119863,0.7067109750749703,0.5824674357137679,0.8108123488966518,0.8669731840329077,0.8220721825558994,1.0889464059703473,0.9896079789089143,1.0311408761335068,1.0091170086879278,1.036485984966946,1.1351545182734468,1.1760528163196522,1.1951203199210099,1.1266522044565705,1.2809598248076741,1.1654693602856545,1.2350765375567831,1.0826565393249832,1.1489923383756289,1.2007036865719891,1.8027444076685362,1.5493309753142979,2.0241007032025484,1.1707296477702323,1.074877253718977,0.9812060145508673,0.947028787270064,1.0783052190121842,0.9309168478706374,0.9648220334390639,0.9928732624669251,1.1740892751680743,0.9075108757593479,0.9373788670957215,1.0662768514927943,1.0936878937555548,1.0069182392601672,0.7885215882807693,0.6772475318684573,0.7151442117624123,0.8117180388056805,0.8055730525834105,1.0415017259149482,0.8024624546821909,0.7202704481819614,0.8752495227774073,0.9272460221122465,0.8049117469327282,0.8781834980943937,0.9809034904963045,1.0302839292429087,0.9664841076881658,1.0732526967679226,1.1415782111246133,1.219096806953644,1.2089005060147864,1.217435939732101,1.1577884581452405,1.097333472796073,1.0093901579250284,1.0226164026804974,1.1025843204256018,1.0451323849501295,1.0096847388818082,1.0647893651973368,1.0815160414796037,1.0081511671296686,1.0542807838981065,1.175781859042777,1.098618189996021,1.1241892133513314,1.120870835252737,1.1778688229671963,1.1754877439113616,1.0729752800089771,1.070959282952708,1.1566158745177997,1.3057038960584468,1.063187964432912,1.0283720475335927,0.858231592190323,1.0947214374064194,0.9513551670182948,0.9563981755185672,1.0333091661986757,0.6824187766122453,0.429721595004352,0.5170880397667623,0.9354291951066346,0.5051937629168716,0.4977337670337552,0.6359216884196464,0.6667177413591122,0.509952813948804,0.7054918048888523,0.784699351090959,0.527897761032722,0.5089034177255315,0.9313457337508697,0.8249534693590703,1.0016530217384212,1.4018081154035127,1.677763037372961],[1.458403934894803,0.4053722064498303,0.8476018368578492,0.44410158618773904,0.7095539997886209,0.5134400794013717,0.4532312643973588,0.445513232432945,0.46961609237019786,0.45868076320681794,0.5056894480299547,0.667358717477098,0.49259844194869334,0.47752170528406884,0.6256803337166471,0.5692015069708106,0.5184094842835438,0.602002519833029,0.5423271763320534,0.5655307874158932,0.5471036651433404,0.6375228464482148,0.6193493538349397,0.7220322175144741,0.7240200870923411,0.5508370062195576,0.5137457879520146,0.5133614503030365,0.5050242251673335,0.4959562915809297,0.5987392274633603,0.6247123076181489,0.7024054076683093,0.6949434299614999,0.5756503939938957,0.5441428933585228,0.5431100297226462,0.4998391097315805,0.49601804197600535,0.5818169070311291,0.8426861146291076,0.5876654898710064,0.5415606618420682,0.7651278674308581,1.0181386435846629,1.41981461349611,1.2739948494952356,0.953119288190907,1.863707503180329,2.1255203775027636,1.5577521798655147,1.9249277530122615,1.7691858587839158,1.169980819654362,1.300381840453973,1.1674268973077875,1.0295885461564924,0.710216964635856,1.5359307685928347,0.9608250073077325,0.7844269364960349,0.7557061233164398,1.2117735676131223,0.7599826006465824,0.6071504569686331,0.5800587167205167,0.8097361319653137,0.6934220905904869,0.8281454894776635,0.890461834795457,1.2065222558995,1.4504014091951858,1.134092351403483,0.9974530351226316,0.8216492026587486,1.140083693136515,0.6538112683381613,0.6602085743876995,0.5775555611752812,0.6335063292907077,0.5933105256556725,0.6794149696232851,0.9470917689263118,0.6013916831828312,0.5652937194864588,0.5854377852501434,0.5372663208984,0.6768322412171214,0.5467998149231025,0.7418721142353649,0.6700159134410832,0.7458221293508531,0.7642646282760707,0.7848085716554005,0.7126568999259766,0.8190165664075464,0.836111587014421,0.7161274403419252,0.7048291758063701,0.8656177687574345,0.6220640249261519,0.737828137865034,0.5851909963088012,0.6323126772922102,0.732774602296459,0.6813941359379139,0.9933398522698131,0.7167229524575822,0.7308464838888371,0.8553005961581374,0.6342447453325488,0.565636578883752,0.4676629790953963,0.5145307978860808,0.4706567666834714,0.4964337065416701,0.6647176223013587,1.2444850325047239,0.52590648838885,0.5581262314914733,0.5508214249397674,0.5159801698640027,0.5128107841628833,0.4674754966344157,0.46999590204875863,0.5178156691013149,0.6277176788757407,0.673759578069567,0.8899995489894741,0.9211027100209392,0.935422657921363,0.8591864426594187,0.9175800200875531,0.9037149878476585,1.003733548237443,0.8980716683695922,1.4808179658485021,1.226641227254538,1.8887369363986184,0.9032811685719795,1.6710262885849023,1.6258621412102774,0.7416937882289677,0.6474265524341235,0.5180331872485681,0.4865911849055189,0.4946739437556159,0.48988803901622113,0.4725096101295153,0.4600648557592815,0.5517925909134286,0.5116131568541932,0.7501665460458193,1.2186347603560357,0.8991865366095887,0.6167131604581519,0.5546701288814406,0.5642616755636378,0.5078729098118022,0.57705436178439,0.5546043276447173,0.5085992964261996,0.6601009647839385,0.5990455359555805,0.8398290417992329,1.0206867646629485,1.1032840864327276,1.342920541469077,1.6048942702309332,1.4228011135082919,1.2513498318306249,0.9682503581982685,0.8011726623764804,0.6502027245058556,0.5500277528162458,0.5850233194562506,0.5704986477962108,0.7919089951428495,0.5646277965725781,0.63664997975714,0.6713843998008137,0.6856178973161192,0.7883161207562518,0.811153707856688,0.7871804294162202,0.7612178347752078,0.7331984397117411,0.7952631227248497,1.5445646246829892,0.8678735217293004,1.8292017003566097,0.9844189632927586,1.0873752519467854,1.0790570833487245,0.983933279086422,1.0479724519567923,1.2338965400998523,1.1297061863859674,1.183593436463416,1.0258663508719412,1.3005646111678686,1.2289974795261487,1.0654908642183354,1.3839178464974504,1.4503719839691052,1.3322313152985148,1.5519692865880264,1.6038439544075054,1.5980943865653225,1.568425362154209,1.6621503046569381,1.7694013726313946,1.7480878349840505,1.8192948242401497,1.660439959160061,1.7584808826862501,1.7580547088036687,1.8388159836685096,1.7309116503281816,1.7966401698840155,1.8210677791683294,2.2936342797469655,2.138829981757029,2.5199572669028885,1.7567927783952897,1.6455249312266849,1.5259113890340172,1.5437005663102237,1.6663050316098378,1.5499546541820104,1.5415546859520284,1.6056177800596476,1.7358346631727375,1.5089624256317602,1.4978188081251496,1.605034229039504,1.663369970086433,1.4338428298086712,1.3493763357304194,1.2466834563033329,1.2926894897163033,1.3745634397716346,1.2908064652396887,1.5087851841767375,1.1749384918812704,1.1937441644905782,1.3235904238086933,1.2370203499054417,1.1211642172540153,1.327048594490666,1.3340077869510423,1.2797717547097767,1.3737787440644111,1.512908498117675,1.448554746720807,1.4912757857830394,1.6866582963835752,1.670853294097217,1.7156197041834933,1.643482811663013,1.5552962933297683,1.600938167511048,1.697527030054611,1.67272582125184,1.6330434402488683,1.715092448386706,1.7351939101741636,1.6493831857655985,1.7057397821101192,1.7828778944008494,1.7287403310878864,1.7181207902257987,1.757597523383707,1.6769015816151964,1.7183055580033844,1.5681672072691522,1.5438628612358185,1.4443799558705024,1.729657343035978,1.4300397656566721,1.5372873327142713,1.2936988779976561,1.2897308391895195,1.2340492939148526,1.2223663807022862,1.153163050499114,1.2561271232657467,0.718977690794457,1.032293086177291,1.2298301452378038,0.6945081835935766,0.7661433616048426,0.8917793593109171,0.7385425917749983,0.6834978088948179,0.883755960735953,0.7779368094987527,0.5516742441978794,0.7006114700894991,0.8136500057500304,1.245669926509277,1.1822663618432185,2.139158828375126,2.144046172504046],[1.7342988831430928,0.6392666434319353,0.9465693700902483,0.49485588393471186,0.7870027299081997,0.7000194402811922,0.6540913538626172,0.7739577334971174,0.6328655966279326,0.5833802874000652,0.647823876573938,0.7992440485186535,0.711491128461045,0.5956726838552203,0.7777282103753878,0.7304134648653118,0.6488455715882508,0.7163871359780728,0.6311523163615348,0.7022010062983439,0.6649560234370588,0.7387405938359818,0.7242636678213407,0.7753968969799242,0.7860716999467018,0.6393518817011669,0.6420776533379603,0.6371358695673637,0.675266166742837,0.7068841249362873,0.7831720820811745,0.8643654417025869,0.9078639721118051,0.8891989388922037,0.836184805233133,0.7594384830374312,0.8241108132151321,0.730360751221489,0.7319734009749652,0.8436643280134619,0.9586929552851617,0.7621636613728938,0.7486648527735087,0.9431215417892256,1.131123600559927,1.4550861869209932,1.31530985549082,1.0622797921102165,1.9223702364840325,2.128521530078558,1.6110611104423564,1.9550344334460497,1.829698634874033,1.2533521878288425,1.382767517470465,1.2908071343983598,1.1399438326632114,0.9046359100062331,1.6736545948896773,1.0954022375412515,0.9492712271618121,0.9623379407514338,1.352585952967945,0.9059059869634335,0.7374758123088357,0.7521638575854926,0.8993718705176471,0.8104158418729563,0.8892228242128157,0.9677797083652766,1.2640447899385998,1.545168049217031,1.2164364835445276,1.0818453564136739,0.9426231038150218,1.2877742530950267,0.8362948614424859,0.8658138664254187,0.8326024488751718,0.861726340120778,0.890970038805577,0.9228838130101391,1.203777842908624,0.9121371445581925,0.8719370378331185,0.879933661292045,0.8066721659900318,0.9095951837050932,0.7545773519673944,0.9208836975377648,0.861836452450522,0.9492410571959689,0.9483571225718764,0.9561475229877204,0.870199486502474,0.961559664522636,0.9452977079503923,0.8906767747973673,0.9036013136011893,1.0971017544306914,0.9274108150470505,1.0715292585403051,0.9310464843023103,1.0926183405103762,1.1404658268060124,1.0886529403048828,1.377938445522656,1.115027304724855,1.102272264446429,1.2181119044729611,0.996861139553009,0.8665945879538409,0.7360667044522087,0.6993368423491192,0.608106171029993,0.5717174114697307,0.7175055503675821,1.2351764091770292,0.6012130324820277,0.6222891618449999,0.6037207636432852,0.5784948352957682,0.5328045305910798,0.5236197062795305,0.5488963823757423,0.6270705142228662,0.819074730423355,0.8965422672346149,1.1425324703503914,1.2403055027722731,1.192057434198858,1.1868971299601598,1.1929801316587723,1.2210174394333275,1.2296120974064206,1.1061889571608872,1.6168023540197518,1.3276908157982894,1.9312853043125633,0.966414960018945,1.7224123011710195,1.6638589763480738,0.804518217051367,0.7291795513384134,0.6633563066995477,0.6692928420320081,0.6668172014888464,0.7088990446415193,0.7690894036051947,0.7670999570422405,0.9341756905537781,0.8870785424613279,1.2082238202864533,1.382481511221416,1.0891447783940689,0.9624440781054959,0.8642952497623602,0.9504883401573258,0.8252903473408137,0.9912980341655097,0.8578302045043632,0.7974399997838835,0.8370278986789342,0.8343276887602307,0.994484969609778,1.1023970677533907,1.2326618860607208,1.4196262259444865,1.694443434390054,1.4947332051584028,1.3677272533662537,1.1051967535714675,1.0215721969420086,0.9379163931914486,0.878475777867995,0.9616077907230195,0.8799589227808131,1.1595958239010693,0.9120200811203228,0.9800167000177731,0.9825464755739525,1.0501678227367912,1.1181308221551323,1.1143080791154678,1.051356532431642,0.9958691530512942,0.9404738268010124,1.01164947033763,1.6510128255966712,1.0067942888904127,2.0213351100105825,1.1660665065199474,1.2827671472752558,1.2913373888877844,1.2290467674184269,1.2916214629757063,1.4279348994956664,1.3908545672933597,1.4196471772721573,1.3560322128715097,1.6420328041743182,1.656979121767892,1.4119105170924813,1.6305147400474327,1.806924972118301,1.6792197432443445,1.6608651740441986,1.849084173557838,2.0176425492297514,1.7763988391703145,1.8443854733983298,2.1204603616699504,2.07797074148536,1.8561584881076554,1.9213417799338266,1.8900804832870777,2.1268927921284044,2.0508424398417047,1.9914394627327767,2.1573291465337885,2.1931002761541825,2.6886878435090766,2.5759856316446075,2.8959974956155707,2.190364430025759,2.119346179252892,2.005847468654513,1.9977054915561527,2.0864545369761376,1.9211889206974522,1.919845863623836,1.9713131722913626,2.028400978650364,1.8043355204685185,1.789794143568933,1.862612876753979,1.8596358128527317,1.6613528887765217,1.604528843413208,1.6132435124736018,1.6797603319178804,1.8057784591405872,1.7896403189926462,2.063659262557837,1.7615086586892834,1.7009154108508449,1.8979182897320908,1.8259021664182715,1.672704166626166,1.8579026731819202,1.9568073478652965,1.901930173811726,1.929927557976517,2.1031232303316436,2.0992382445157927,2.0977745158729273,2.247941434243593,2.278652694914819,2.243551192465998,2.1938986288112794,2.0720144690864397,2.1048036867805457,2.1751634444341743,2.059487638111387,2.0378000125869296,2.0906355060446673,2.062691145544768,1.9281038201430505,2.0277649492625005,2.054892163226021,1.929126348504948,1.9181700684081295,1.976068486503302,1.871039066064985,1.8859134964035775,1.7038824995793924,1.6852962603459574,1.503858197876482,1.888163284546839,1.4749773365920442,1.6289583855259795,1.321768843354503,1.2498473749121755,1.2383694899582993,1.2518117679063754,1.2069906453340065,1.3976984865077022,0.8644924183931745,1.2511307523664852,1.4006588702479308,0.9210356658810357,1.1949500513406943,1.4174259658764086,1.2727262928098313,1.0609944426664133,1.2782499349711836,1.3367192462597237,0.9963237252540791,0.9985130469291525,1.2839093196659566,1.64464761435269,2.139060788486105,3.459377780329665,3.046213810251828],[1.7373758924410805,0.49673561757093837,0.7144009146252394,0.3635485535502828,0.61445315695311,0.5618878363524797,0.464715756377885,0.5386253984467382,0.46658772395423515,0.4505031054354002,0.5445709822487897,0.639850079158658,0.5344856725278315,0.5017226497773515,0.6825411915426521,0.5962293175165716,0.5477444270675815,0.636964325094236,0.6039445274866693,0.6064134867743323,0.6212991485413287,0.6967204837129041,0.7022992889389841,0.7582340967540468,0.6683223070374045,0.5974448037594626,0.5403345757291058,0.5300626678366976,0.5329465900954895,0.5513508003313538,0.6649488808954741,0.683080357631366,0.7382582311159802,0.7482909799431273,0.6578759934240155,0.5972086332223158,0.6123361216386051,0.5460982552255754,0.5313979965743626,0.5871462350598651,0.8231626393032426,0.6211087482473799,0.5740325323027031,0.7644050877817424,0.9017344521094242,1.2642446118271193,1.0838130031673177,0.9580648535286331,1.9040600974157464,2.0273804008341383,1.5866813012367957,1.9389937358831482,1.7845927019785803,1.10214807560679,1.2927624127484165,1.159200111891072,0.9700953860276862,0.6991964315498003,1.5260719888377032,0.9305188876560746,0.7988191700440502,0.8686542277255797,1.2758458579362562,0.9076939949696129,0.6901173050374706,0.6504397376296303,0.8574935848967866,0.7403018461294888,0.8924796176387123,0.9525586544759049,1.2743549434819066,1.6049825813046694,1.2361424695177168,1.1052592737991798,0.9171310992778979,1.283402301331227,0.7455245305446848,0.7599535588313617,0.6689837362552649,0.6901265215450243,0.6559289169902595,0.7418788568041702,1.0672782345143101,0.6601494827546988,0.6273714700844282,0.664500176032627,0.5916568838991879,0.706273570672326,0.5956030135953534,0.7837373028721815,0.7486235340170145,0.8551679218791616,0.852693716572647,0.8418611708161199,0.7638393635405062,0.8756222535283219,0.8698448040189936,0.7395361308771329,0.7299298190484448,0.9296204738460379,0.7299728081272424,0.8542980721122903,0.683633152345599,0.8365756688270358,0.8873521139259936,0.8210643680255271,1.0856925642202995,0.7881917439040125,0.7920888247989021,0.9702481188230936,0.7198155200546473,0.6042357493128296,0.5006232512648615,0.49863807303128826,0.47532059101439467,0.4500287955563015,0.6352287886504588,1.0254136410750885,0.5358366285678209,0.6060486650187885,0.5714142753481688,0.5378476966299364,0.4470940400495073,0.41437872783188406,0.41059098553024787,0.4352673580870037,0.6137453943504385,0.6537844002909393,0.8534299036468258,0.9617711099504404,0.9023231575788423,0.8708041244423053,0.9028960132625137,0.9692457350345941,0.9748239596338764,0.8728877370698958,1.392898106449821,1.1991431009626372,1.8619304309584055,0.8337513556927407,1.8531800198481585,1.6853819647225967,0.7350914084335961,0.6427205509113992,0.4908431731818319,0.49398161360716875,0.49214873857746216,0.5269866412903754,0.5275154499462444,0.5462240405788655,0.6964679895392236,0.6785358821179387,1.065071401789539,1.4097796802497216,0.9863398287809709,0.7514185816678645,0.6377102619652972,0.7320004780103472,0.5885547308284349,0.741229373494944,0.6116792626176948,0.5760616574590427,0.6359582215542509,0.5997002741428051,0.7502904704133971,0.8562152522973832,0.9617041086027963,1.118374931112751,1.398021687350456,1.2474115137362283,1.1016516382913755,0.8509427925039863,0.7792261069686792,0.6988793580380211,0.6198057588686312,0.6889662308464005,0.6481824647762245,0.9118943610051061,0.6484748244474331,0.7097444856738868,0.7122097200642791,0.7898318473397219,0.8497162313911739,0.828052387228983,0.7797944830128939,0.7725963407438938,0.7056451322681274,0.827971540468199,1.4676362573247352,0.7976783745642607,1.876710988204741,0.937635987286078,1.0156631867010337,0.9982014301335932,0.9375246763742996,0.9878902474474327,1.1844998405558478,1.0629348086208832,1.116389675816826,1.036455987484635,1.3449059159663164,1.3672290864066532,1.1361238090969554,1.3665924541615986,1.5503142573549729,1.454700734166851,1.4793294075392296,1.6055380000342145,1.8051303916019725,1.5917315229264088,1.6288039316644878,1.9016663212910863,1.9100066823859354,1.732063681074664,1.7330744653861356,1.712344880488394,1.9334094449045804,1.7985218820491835,1.7367442458572377,1.9235256910928187,1.9453083037466707,2.520114971732401,2.3197305882479244,2.734937999254904,1.9409692075127802,1.8596642374114705,1.7308195253100473,1.716820436099513,1.7933241111488174,1.6146217194177206,1.6214492354266918,1.6572638164340563,1.739320377913632,1.485965876311061,1.4685165448319635,1.536195810860193,1.583439265160619,1.3856169739449222,1.3032078522316797,1.2843813922560934,1.3740987586460878,1.5227791716092363,1.518960117063788,1.8344292938086533,1.515476815469922,1.4388694004483784,1.6736526694393348,1.6594322670379593,1.4639192487668877,1.6445466007894767,1.8141895474918588,1.7952382244939942,1.7741144816799086,1.9638323285867645,2.0281594835001706,2.0319835127365726,2.1086722049727302,2.1603442525689345,2.0578313592777677,2.0004622146222433,1.8491462808577162,1.87560539346039,1.9555036394110084,1.8158991070263502,1.7708214713011328,1.8325491707304864,1.8040739244920954,1.6495831986799723,1.739615506160213,1.7917366670004753,1.6584561994183102,1.648198540229301,1.7108637965306466,1.6189970973598415,1.5962404022600136,1.4091906144051953,1.3873994386513249,1.2931656358271681,1.643338968998976,1.2863506805155898,1.401304119629857,1.1571645255032348,1.1710902970650239,1.0856525622095237,1.070783366189115,1.0770514777584068,1.0825425379999498,0.6208070491128216,0.9718732978686151,1.188064796375321,0.6969469099742321,0.946337099253018,1.2078742961259772,1.0834173727408332,0.8499080390018717,1.0672583156690516,1.1382065200907012,0.7616385643189395,0.8936185056687672,0.9975248141523486,0.9254863682478393,1.8405586143193904,2.798773200663558,2.432546626125268],[1.7062710592538761,0.5058239753667048,0.587059822468359,0.3532666341414616,0.5376281517238862,0.4937876089237018,0.3689547945837738,0.39582623588738447,0.3486482860571604,0.33651820062647153,0.41719591966684094,0.5219781420513517,0.399631068269998,0.38012456181567866,0.52021574908409,0.4441162043652482,0.42532834343050596,0.4996578604419518,0.49385015945156335,0.485961275873774,0.5167473197117125,0.5990115089220108,0.6317266112326942,0.7098028087659581,0.6273932621529811,0.5319054829645098,0.4580299880367378,0.42627443746160154,0.4121964296188197,0.4047183051781592,0.5057574219682079,0.5118763903930711,0.5753889575528945,0.5711237959719829,0.4753391834044223,0.4418578905871804,0.45474804469728214,0.37789694523022266,0.3872151397010743,0.44800681821426164,0.7421550453576101,0.5067616826345089,0.44792144323484423,0.6098380513916489,0.820974849578585,1.1365691906352993,1.0160624029082597,0.8284219358782405,1.7898351995904596,1.882365558918002,1.4790828675901946,1.9052367730652429,1.758226078618784,1.099005742767613,1.3075317406797997,1.154144371667354,1.0491674939604516,0.6434869799740395,1.4740083280355103,0.9142321549177916,0.7705825283894494,0.7676872507199516,1.1728616700845396,0.781530582980398,0.6117867455799998,0.5364554120248919,0.7881156151139507,0.6041315307236537,0.7713573632208,0.8103961325170086,1.1611755717890948,1.4671052180816229,1.0980783312578835,0.9789478955472614,0.7418779550393758,1.1513055131270156,0.5828589226670166,0.5893075194215919,0.5117908146087126,0.5224991701075695,0.47586273658916356,0.5610886876219628,0.9117528949465503,0.5245464664789089,0.4976528096813689,0.481637275172658,0.44266189970313014,0.5993696332423498,0.4618661467511427,0.6329099043172114,0.5803449028170792,0.6829904252086881,0.6667106646305232,0.6399349358513617,0.5809605340107032,0.6941301178105193,0.6910113693278981,0.5677712388384298,0.5549294020628118,0.7654875826269179,0.5464958869685745,0.7085109739328079,0.5387922554913646,0.6862218949775706,0.7124515627195049,0.6421636980537009,0.9039012359665233,0.5841411428974393,0.6116204681219809,0.8432465886499558,0.565169355691517,0.4538887901340402,0.37899928793160775,0.3964283711566272,0.36387228400128174,0.3704799666440573,0.5581392692684487,1.0291851703337194,0.4664660208719079,0.5076369388729531,0.4797213967442845,0.43393196290314123,0.4123015468649526,0.3431847076382399,0.33594884319993945,0.3617159972241181,0.509957895782576,0.5267536502898635,0.7041867339430626,0.7760293148182728,0.7250279457161494,0.6824362230663437,0.7300362841978856,0.787631468940277,0.8280112012002303,0.7513849319588424,1.2829145268263418,1.1124747635583625,1.8186315820351522,0.7542692544611709,1.806936696070883,1.7172484987049932,0.6837123439424889,0.5585186596168035,0.38711347517066624,0.3767497832934015,0.3749292101847267,0.4109917575890745,0.39156960366616755,0.4232724579749278,0.5463990208946367,0.5394710696397085,0.9207176181969127,1.42794826403136,0.9752835315550937,0.6206966638975434,0.47919736680195635,0.5604110749898586,0.4168466641358735,0.5975641093365235,0.46727048779359637,0.4179432580377704,0.5387270224114217,0.4846744800974572,0.6551025258929248,0.7909088851812262,0.862582565699094,1.042751869089159,1.318164183731728,1.1772046103012375,1.0043014732209665,0.7622001728564574,0.6717550411779577,0.5649988889884964,0.4602159225228227,0.5142840809783117,0.4813947853964973,0.7213435043051284,0.4777593118720556,0.519612115043769,0.5735728504541646,0.6358943855312019,0.6920729409528373,0.6663681861076457,0.6396043731789365,0.6619965717846327,0.6270727053513602,0.7870782472899993,1.5415027884131525,0.7847382484134648,1.7665341822938152,0.9051979146035855,0.924561756469226,0.8710474497771776,0.7877058463014024,0.8009362762729484,1.0049154287735904,0.8483017409851349,0.9017338486608479,0.8112223975167463,1.088136161408686,1.1107360836590519,0.9265617005523835,1.143274182612111,1.2833866016662656,1.2288019563858175,1.3261704916541437,1.3611073447802726,1.5147883777234443,1.3966879995058001,1.4079154488081946,1.6104110639652647,1.6592167069908537,1.553809124790608,1.4983900100934,1.536633290039849,1.6113044675046897,1.5415853266227508,1.4602680670747248,1.5989941614229433,1.6204392473422826,2.2225087090605626,1.971621688287576,2.430463480223178,1.6184534054835376,1.5372674163202484,1.4251045766670603,1.3967448911172742,1.4796956578430494,1.3194854072008193,1.3310289350428395,1.3611943438632927,1.479927684358374,1.2113664674714615,1.1975958545344179,1.2989067153260476,1.3506367009552709,1.2090866455484157,1.0728942957475807,1.0302007213910955,1.1117280726531797,1.24070012759208,1.2368223833792893,1.5099390643407025,1.2378712556367373,1.1667532133176857,1.3597985279189448,1.3742281632043452,1.2205226616001592,1.3525045946079735,1.4967091951293845,1.5069205422303313,1.476867060081961,1.6240840650624793,1.6857554055694075,1.7209919277380568,1.7647525482242685,1.7889784481540978,1.7031538681481317,1.6401151395417046,1.516201615481247,1.5303391228404368,1.603284331615194,1.5054232008670447,1.4534346634931141,1.5064639821547658,1.4981683328308188,1.37714918617486,1.4380811358892558,1.51859772996719,1.4056657456288018,1.4082216611446203,1.436628772827383,1.3981625813335958,1.3796461044877546,1.2323421581250296,1.2105808971062646,1.2131154319120927,1.4682448083538926,1.1749595198284382,1.2367979815641383,1.0443439562022616,1.1395752002293238,1.0237387341194015,1.0143085908586578,1.0710553975860078,0.8864947888689181,0.534853436454688,0.7873928602853395,1.100144903312958,0.6373312823067688,0.7648685552146077,1.0075467524044335,0.9389529730300853,0.7182906185346896,0.947809508232062,0.9771786712070636,0.6234683014209951,0.8333955975985309,0.9197540167191431,0.6338025799157201,1.2936186588978864,1.9902995226482474,1.9603562354527349],[1.6471583113567827,0.58866434278154,0.5620058736466799,0.39228013493389097,0.5479679026376505,0.46830555801292256,0.323469150180586,0.35825394603966354,0.31870279462567175,0.3256956229869949,0.395619235351734,0.4769685664895786,0.36727738268852667,0.3857565599620647,0.55099893174751,0.4667667593713987,0.4572314826887712,0.5828680604064892,0.6002736755000947,0.5535404085944917,0.6302777928239159,0.7191559096569211,0.72794717415743,0.8546438062282773,0.6302587868734761,0.6186117725350688,0.5060086240697206,0.47344797575196557,0.42777301555224784,0.3896327002886545,0.567853717220105,0.5138943533061278,0.5817011502422864,0.5904679621509953,0.4756568691054547,0.47214700491552825,0.4354815100338839,0.3938674723658115,0.37088119592776875,0.38219327652109686,0.7548231034679361,0.5216631277591787,0.45624746981307557,0.5983811694261155,0.7701901542867774,1.1510059858806352,1.0276910931309806,0.9132459918679204,1.8996054143819783,1.9074032880373424,1.572784135323166,1.9822275342666038,1.77752265185222,1.0929511724574323,1.2473470966847604,1.0367951547600258,1.0096354868785509,0.5917076280256844,1.314870483896497,0.7913294526884022,0.7148253854398595,0.7487364001851731,1.079428818313898,0.9212533853310738,0.7244265911790797,0.5313528127848449,0.9076866017497307,0.7102906274906391,0.8994481497532615,0.9049592724472227,1.2401260158432956,1.553746461040673,1.1867236466898796,1.1033215754762808,0.8646571868749752,1.2931371234743276,0.6968772725880624,0.6653685763291549,0.5622370694583014,0.5809566459619514,0.47359031126436213,0.5208693396534078,0.9354219043769872,0.5049617966486107,0.4386331539620468,0.4217818012060549,0.41331615695948387,0.5398445577640455,0.5050525377853269,0.6395223148851642,0.6600021946050953,0.7865064608732233,0.7514486171806292,0.6957372895994198,0.6341638230550906,0.7615879677211149,0.7521846937214729,0.5798624455564009,0.5464245129790416,0.7621363289326457,0.5074998765377474,0.6732852542214488,0.4797733876104483,0.6222565306666918,0.6437481005756879,0.585361292584829,0.8562702991942963,0.533339596221863,0.5655920777435717,0.7985043186624212,0.5119541307910123,0.4022669946040177,0.3274158055428043,0.3721880694619906,0.3834059303218438,0.3844885740507658,0.581628809835286,0.8449061135773004,0.5585504770023114,0.6007654979737769,0.5688114961973372,0.5056328493430969,0.43296427897395645,0.3410485244639721,0.3408067891404493,0.38246523891182255,0.43498676531014335,0.43707845187954514,0.5920923705908477,0.6571740898765206,0.6157434201865154,0.5955808884144489,0.6145393587636738,0.6898210080355217,0.6965992693241478,0.6155413768909956,1.1583814599948965,0.9920621474733923,1.6867368782867744,0.7209505550692759,1.9315592789337035,1.9052584441037788,0.7659350686076711,0.6354363708255314,0.4241694857255163,0.38711055780428677,0.3747079072572664,0.38768696546916415,0.33172896995441986,0.38168498486372526,0.49725061294222217,0.5240415140324556,0.9410165488508436,1.4787573721710943,0.9955768227343715,0.5946198620026448,0.42902097454792487,0.5030267016533368,0.3670737023096915,0.5126893958634512,0.3929720446664223,0.3806303592320059,0.44034857650688214,0.3977710557962934,0.5423583785921385,0.6737640951900591,0.7272614408248321,0.9203247251311828,1.2035004503795137,1.0579321328706164,0.8637769663795462,0.6251420923882696,0.5497437200161454,0.45129279716965714,0.37396026314343717,0.4465642878929684,0.4516540298196655,0.6721786525670861,0.424327034506365,0.46355214545435086,0.4711849975760882,0.5408616808286167,0.591727935474827,0.5696248384933479,0.5333731741141919,0.5762150414037334,0.593472741806183,0.7252681574135926,1.5575139518237195,0.8768051477407509,1.6119138979631762,0.9580260304260678,0.8532997690875785,0.7755615447694106,0.6866441528550077,0.7006873028477777,0.8922740385934956,0.7559480461847127,0.8323480610322533,0.7464844824684725,1.0474874408138035,1.0728966663794182,0.8712044260430392,1.110458901282681,1.2784392223668652,1.2053596049476696,1.3169791927365389,1.3842720803315096,1.5598400650581965,1.408493603242198,1.4646729157951117,1.719751186342352,1.7344311294682482,1.5988012451232723,1.6631472946244255,1.6643350067084168,1.7868176502308575,1.6753318063577787,1.551012858416494,1.73336532284637,1.755929317925525,2.2973804829829843,2.111821236896733,2.527602849842341,1.6967657748426208,1.5967164947112809,1.4436269573653064,1.414975313827793,1.521695538404637,1.3306486065637204,1.3238687729465932,1.3702650318441745,1.4915435991437709,1.1927402736747341,1.1608263469195905,1.3100819903954406,1.339454114175835,1.150548533207309,1.028370468784546,0.9607779082038894,1.0654260435579517,1.2308102754490762,1.2285295274314099,1.5390424706541144,1.2253426649557724,1.1397446932667077,1.3973074544086015,1.4003318691469206,1.206647474683458,1.3689967236576506,1.5664202029087313,1.5698519169663727,1.5207765374080415,1.7316535951333283,1.832596302524728,1.8370454803064844,1.9024488460292635,1.972405694067469,1.8456776697919794,1.764231316776685,1.585756158140278,1.6150512943680133,1.7249753370375909,1.5689638047690926,1.498861927507574,1.5835570444483476,1.5735735094185133,1.398403086243351,1.487230378352402,1.597020832262211,1.450045166240228,1.4311456461775491,1.486045460523676,1.4600916147616503,1.4328997846491838,1.2881411211456042,1.2941451352395745,1.2837839829151376,1.6040314452898445,1.2485150857640275,1.2910966653393718,1.0757749556169334,1.1470691330446825,1.0287438203490284,1.0465452396932644,1.097819237012246,0.8627556679094903,0.5291221573672725,0.7137558026459991,1.023586633729613,0.622817167985241,0.7212486511331823,0.9831346102232889,0.9338202726103916,0.6704834225599288,0.9287939572993678,0.9566995864879465,0.5897143061271943,0.8018416687747953,0.9124541472196082,0.6872998486546008,1.4794055642419761,2.375214172065643,2.3586183155460576],[1.56019723428433,0.48819258952634015,0.4654080189523104,0.35376867448312804,0.4672376399153862,0.41283057696912456,0.2535341234974742,0.32059589310599756,0.3049270872161598,0.3418745859396872,0.4125945903864919,0.47396140154153227,0.37434750956892826,0.4127775268029454,0.5496502317762378,0.47423134905431136,0.4927699854686421,0.6235352848896423,0.6523965635365884,0.5992241726004575,0.6909136409648419,0.7640589302514543,0.782321782025716,0.9158358405393444,0.6526177390488224,0.6614715266703755,0.5602819209106127,0.5116809811013747,0.47444949505693434,0.4196207799569062,0.5965829202310481,0.5207801791945494,0.5956768084810232,0.6025030932275245,0.4953398397013839,0.5133492917610678,0.45071823202723427,0.44511396511426715,0.420964302429894,0.4026432112994944,0.7720373818723512,0.5556888278967681,0.49688941729463537,0.5969099208591732,0.7386637490216489,1.114662520168897,0.9905423172100803,0.9611630070369303,1.9521372017973002,1.8750597153227075,1.6127157069708564,2.031143320030646,1.7931957842644806,1.1450728908788426,1.2353275637166976,0.9902862649567659,1.0393072116010111,0.636347897431423,1.2482188091097686,0.7739987374264047,0.7480221751441126,0.801010080750689,1.080110852199296,1.0019822314850628,0.7984214335764827,0.589925302558834,0.9564978452681723,0.7555681995593007,0.951023000946144,0.9277693519078526,1.2592404599286096,1.5736298241825695,1.2040476507332167,1.150813203683337,0.899575933042775,1.3248646125966383,0.7505795128325706,0.7007738800379206,0.6142611241135256,0.6366499372559862,0.495020497581393,0.5392418013128372,0.97629045768781,0.5068192319397579,0.43523333877481113,0.4347468558779256,0.44885223783606,0.5323942453353474,0.5554637850632604,0.6504001709261068,0.6945670183447012,0.8125287521239521,0.7637478171581192,0.6960810309024141,0.6414388760507194,0.7651213700734706,0.7418399007507491,0.5805729673470256,0.5465688915383352,0.7795893777621354,0.5102692384783397,0.636600303342954,0.4442568184723975,0.5358778598028767,0.5539913518915138,0.48062563394909275,0.7363009381809972,0.4035012027683643,0.42673009041538457,0.7353527668398787,0.40474291992611766,0.33571958995546897,0.2786513040969052,0.36742344305885505,0.4035059674071928,0.40436895980254595,0.592173579233134,0.749743647319939,0.6130894368804412,0.6538306690160693,0.6222634972663054,0.5543702699186465,0.4619700456045455,0.3488172711908789,0.34861849449446175,0.38792564637162785,0.36183046495316856,0.3419060905920963,0.41471196493932044,0.4891446547405015,0.44297852764781837,0.43392361304379584,0.44074893027396195,0.5607282957272346,0.5200185909472739,0.4645059064797396,1.028718892381067,0.905589501379363,1.6238051994167453,0.6716308439852366,2.0208497405230945,1.9285650289251315,0.7965303788669645,0.6848263196461656,0.4629869730613951,0.41920601779435956,0.3904541863705883,0.3888603395395733,0.3036167014478493,0.35920152929964644,0.45190353162541547,0.5363094220091255,0.9234424483816793,1.581617969708848,1.0936685361847944,0.5921453594170486,0.4270639023645703,0.4725971066811555,0.3585010957528282,0.4398069448642022,0.33881814751950684,0.3857152885867079,0.3851942860354973,0.35942513374011104,0.4663437597535351,0.5664316231846447,0.5559623502120733,0.7262884703934563,1.0026678040913553,0.9027702974777155,0.6863729549602481,0.49375884088952693,0.43705291820918424,0.36188859199751844,0.32668034930087,0.40299914231494155,0.43521322660930695,0.6364227458920617,0.3976784035450022,0.4257041788102748,0.37468599738620756,0.4223868524256658,0.4552636119373867,0.4351071470542935,0.42149209433629387,0.5303373551133705,0.5909142101955911,0.7025654184730659,1.585935734988681,0.9293739712569193,1.5087692122910477,1.0166298640124938,0.7534000968769762,0.642197144051919,0.5680169515186516,0.545723824358752,0.7398344720630013,0.5517127048759771,0.6245843322065754,0.5443401846798889,0.8033086318226603,0.8492501287082507,0.6778661485218206,0.8920355032436557,1.0471837653480398,1.017653658283129,1.156962567031524,1.155321392130168,1.347561900121695,1.231526282891427,1.2520920959785609,1.4910103001141946,1.5587312259892914,1.44174448053825,1.450699133795837,1.4637206866843924,1.536902946104316,1.4037913972445968,1.2854060722104872,1.4594289199178785,1.470946188062318,2.1368807761876307,1.8135478681201578,2.274805461902159,1.4193937308849678,1.3258636999937203,1.202671288014763,1.149537379035243,1.2457846150873433,1.0562640292648695,1.0577493495489358,1.0880102727118288,1.2360434682901844,0.9194616860414488,0.9467549079197479,1.056149616630452,1.1018727076113937,1.0125966474141148,0.8041098058979783,0.734149635477881,0.8196506190479423,0.9761182482486677,0.9992173132438349,1.3012159246573758,1.0465744890581044,0.9288444220994124,1.178007694853094,1.2463972589813719,1.0441885999432725,1.1751538068467833,1.3969210230674665,1.435663765125276,1.3597027094370548,1.5346035946499812,1.6659819284138448,1.6955833094522705,1.703220140326548,1.754154195625982,1.599445354421681,1.5140083589779731,1.3404791503374531,1.3482236281572844,1.451538290418223,1.31293902647743,1.2295433383091414,1.298779426872073,1.2961927978062677,1.1321520145191706,1.1950908257095734,1.3297232958033915,1.1819062374966671,1.171435708465543,1.2054799823294777,1.235989043652863,1.1919614445876345,1.078558272085612,1.103095674229229,1.1930757140207222,1.3893735597125405,1.0980575070603138,1.0825787084693739,0.9155424243633125,1.0800119936112496,0.9562579344647705,0.9909464990123157,1.147029057473352,0.7073805419243837,0.4885098119498093,0.5380234075503423,0.8762188374412153,0.5393485114072059,0.5897067118213765,0.859912895304722,0.9060485873982839,0.5838517254116562,0.8232309401200552,0.8343922810108549,0.5478944374493758,0.7870254964252948,0.8826640422308978,0.5085171488313247,1.0979583058483373,1.6977527558097278,2.1182160067426405],[1.5043641433575834,0.4766617450263595,0.46982596877221094,0.35851659958820425,0.46804524821197874,0.3902096855730035,0.23051033760930578,0.2924778940045248,0.2778129319925477,0.28967936945397643,0.3571786881106799,0.43484257054170106,0.3293257621091065,0.35452656644823477,0.47827872388976916,0.41390923466319424,0.42467260655230393,0.5356190252281967,0.5564405296663635,0.514136473233813,0.5859668298183389,0.6832197866761426,0.6974911735196769,0.8241234762516574,0.6065346926350791,0.5837870978339222,0.48747739694820225,0.4494560674998683,0.4048178942055247,0.36115576485972006,0.5065598026587222,0.46100928307595124,0.5308018170198544,0.529124119611986,0.43409623420384824,0.4321118860105487,0.4042480162921964,0.38626712892724796,0.36990900412378597,0.36999928016005984,0.7308791105698262,0.5010506955310119,0.44139894628821497,0.5601056685064548,0.7471536992487291,1.1161435382115303,1.0003954815021785,0.907507871238205,1.9044651630125382,1.858302460761831,1.5546487246984269,1.9921977797252726,1.7698207938557995,1.1137202655875333,1.219655706866877,1.0074908419492166,1.0521970609682965,0.5986709519753562,1.2792123783984766,0.7979172011287521,0.7403341093169806,0.7073044826870607,1.0423244766107196,0.8588596515680098,0.6935946681048184,0.5103632800395885,0.8386261394812945,0.6470774027040959,0.8327789426690446,0.8219553894470627,1.166019090345145,1.4527976905467606,1.0874119878456334,1.0284025734989335,0.779856880583731,1.2082665109101245,0.6277538228790415,0.594619959489585,0.5205238134231481,0.5541293209139824,0.4434585337747555,0.5041338810143218,0.9476891852350465,0.4586235898777628,0.4248309753952222,0.40039023563097303,0.39193404845949953,0.5146530480521262,0.4683867728787083,0.5855917446835562,0.5855730031613543,0.699125106997809,0.6602974079815805,0.5970622651792212,0.5553777684233335,0.6683043297942334,0.6649500383706566,0.504844195789927,0.4838103288409856,0.7313790359252477,0.47119104241217086,0.610644331166181,0.4049363056520641,0.505818576228736,0.5181643575301202,0.4541040527974686,0.6799837291787209,0.3846671134766474,0.4034253148412169,0.6967820157959934,0.377591714452639,0.3255815447039269,0.25861580522813415,0.33845559182697404,0.3625590518004041,0.36569251287626753,0.5531464110240651,0.8158017225141876,0.5330532345184258,0.5771496410527649,0.5482147779950546,0.486289704929255,0.4084866646706517,0.3210013077824112,0.32005453501515385,0.376019051773872,0.3472301433216292,0.3297693918788677,0.3894012694738943,0.46396671869301387,0.4108041214150197,0.4043727005405028,0.41826924768280144,0.5246342303837865,0.5073610890986957,0.46397676016486106,1.010841464609732,0.914056403093067,1.6246367044403531,0.6803796001666379,1.9886254849794596,1.9110694614528942,0.7681142362435266,0.6435897859971447,0.41740867158267875,0.3694002451330062,0.356020228127262,0.34922595801553946,0.277350229834608,0.34243521042564734,0.4461710917871786,0.5180288083313557,0.8512704738327956,1.5250706710656832,1.0951868001555334,0.5552690464326765,0.392809756299138,0.44764495671895316,0.31823420475725156,0.4173195214519008,0.32823564971581515,0.3499444682413439,0.3858771645487643,0.3522046070152543,0.4626499657220392,0.5736515881565177,0.5703073800589384,0.7492740747767059,1.0159689498492628,0.9171862227072981,0.6952867266939512,0.501514453655966,0.43984394426910844,0.3596361000501682,0.31111366484836006,0.3874422532350318,0.41548443550799224,0.60834878051163,0.37529180870821555,0.39538452660680806,0.3672578890135227,0.40607645489149186,0.4374420542672209,0.4212064541626498,0.41709230936107894,0.5296099201785922,0.5792371022886145,0.7026756565902827,1.5806584491844802,0.9240573629274391,1.506595628282549,1.0132158357635257,0.7657986042672913,0.6445818657035803,0.5576076053371007,0.5244516310498648,0.7153524560075896,0.5020251920510485,0.5634393548388567,0.4945032549835777,0.6991868507320249,0.7408271627123922,0.6016716215551728,0.794030207386443,0.9126746308058932,0.9047631297178276,1.0758903593670912,1.0187630110012982,1.1802001279155283,1.1057004875202376,1.1061443996024005,1.29697850247496,1.3874031140111525,1.3116582971796618,1.2688984528955378,1.31915450037393,1.3293398469788946,1.2283218792286414,1.1152663693723153,1.2527923401575725,1.2694218455908601,1.9868583422918944,1.6118822082498099,2.0943165913913226,1.2340901740943941,1.1432510606692106,1.050918404830161,0.9920116166571842,1.0813769858913127,0.9182982674953291,0.9425945784721778,0.9643761805681935,1.1326755954721832,0.8258093516089194,0.880543791212314,0.974207848884317,1.01227828743489,0.9893004243674293,0.7300157856130848,0.6561383486231871,0.7173129165504346,0.8498990855604963,0.87835798934772,1.1401230581458506,0.9303580001892041,0.8065644423530935,1.014500760303734,1.1023317118489973,0.9249624841370218,1.0223333130582495,1.2196711447341666,1.2768055885679355,1.19750016468555,1.3305162307285783,1.4546382556303155,1.5150870987607856,1.483620360991333,1.5063563636468822,1.3724065358078303,1.2916187680894202,1.152110938673397,1.150531084891584,1.2357316893989423,1.1354158139704245,1.061848985328558,1.1140024189268902,1.1212480903287283,0.9934377589181276,1.0379240126634397,1.180201010160941,1.049765577233347,1.0556419107062083,1.0707283910297314,1.1249024932518632,1.086280221373169,0.9917001835534563,1.0371561163407974,1.1911335307003013,1.2587083415424603,1.02189243570856,0.9747748932207002,0.8381971863361106,1.0756408593722802,0.9474549476930114,0.9849743314874034,1.1749049304252352,0.6741428384240821,0.5068493523017881,0.4930230503499428,0.8414660979740869,0.5267164060195024,0.5280510968079177,0.7700755071360261,0.8638348578680723,0.5355439763673713,0.7655918371051708,0.7581125273403375,0.4978255979232055,0.7705979616168631,0.8559803607574951,0.48884394097949696,0.9080618895236611,1.334536043314576,1.8040860565609569],[1.29165499181208,0.4806440218325898,0.5223856076332625,0.3256657637044415,0.433897593347163,0.3716673361073985,0.2617903680549188,0.3079812786395799,0.29563548537896045,0.31496267711270826,0.36695521008004134,0.44230791377850376,0.3464973186036352,0.37476204994863327,0.4853194555688658,0.4225749441767182,0.4464196138124583,0.5642761964681126,0.6138892357844606,0.5785903730841986,0.6601435801329834,0.7328174418723314,0.7761510742377902,0.9395258928024374,0.6839987615426103,0.6707016943825517,0.5741395930611684,0.5128183000195853,0.45057681941472344,0.395075747401432,0.5245694517576205,0.46613079920548056,0.5478419129832588,0.5206795417421887,0.44638065574221186,0.4697314439471416,0.4463836885983153,0.4487268786163856,0.4551966158810165,0.4453752632244777,0.790062403995304,0.5656690484743528,0.5167845897728421,0.5853264063833541,0.7939426301359552,1.1125669873258923,1.0333684883645606,0.9186056459098589,1.8991521965883749,1.7519854561048016,1.5196627661064586,2.0073184894764315,1.7611282400915942,1.1772393150643812,1.2147109005097054,0.9865946555008106,1.1194328201041157,0.6595398973151769,1.2298778388587028,0.8641249168463617,0.8300166563999324,0.7827256195900429,1.0611966249404823,0.9117659041513326,0.7848395526840947,0.6153382548860332,0.8863549272497585,0.6835437598952349,0.8843072939684793,0.8215567809738192,1.1597236512383458,1.4117917100248893,1.0514586041589173,1.037704298784653,0.7765117452027329,1.211320900756362,0.6575775137828945,0.6090805760611828,0.5546396948700973,0.5958156732297875,0.49749088036632344,0.5544528678860116,1.004504481490375,0.47314391244456944,0.4831279740876049,0.45131169587432135,0.45577718287668173,0.5405269555948209,0.5145867291655343,0.5766526701628405,0.5991601036319265,0.7110816823877071,0.6709932387698083,0.5770241275095359,0.5410550696834192,0.663674588603666,0.6430985705817289,0.5132903843092961,0.49606656752484185,0.7630543076801104,0.4805130444220703,0.600270367871605,0.4241813548553899,0.4862465569694536,0.4877823774820105,0.4426500681969886,0.6111327679203933,0.42786654769232224,0.4199304825469747,0.6835333572489878,0.3576630696102606,0.3308699303505255,0.27378212970124294,0.3577255308346773,0.40869827280598225,0.4207207751584999,0.5826348853294804,0.7489926910447168,0.596892386367334,0.6168908174376766,0.5952218871831019,0.5325100003674592,0.48091436297234325,0.35716804273747504,0.3547630895775155,0.4606000713167752,0.3507628859949775,0.3650474744323982,0.34083049230887047,0.4083385171322985,0.3662815104495414,0.3822031582700161,0.35726368497973365,0.47473854308308266,0.42491716827139464,0.4079245727896778,0.8862190141766413,0.833952929086992,1.565355249008034,0.6300652852311845,2.0378098829067617,1.967747202311727,0.8287301316944561,0.7115103301684301,0.5029263216579675,0.42546427031464534,0.4121739068940342,0.3881939583626505,0.3081213198834709,0.35348705206491954,0.4629611580586286,0.5893282188878802,0.8308032483393293,1.6043458027219404,1.2166982729961693,0.5942477347337712,0.4338569954437881,0.46011765162215146,0.3509592775273447,0.4057554004938805,0.37679792168716053,0.39850084051543655,0.37469862043854313,0.3776727077260246,0.4335629907427425,0.5728216223104415,0.5109527488330242,0.6892323220650319,0.9175058287762572,0.8636712785606404,0.5967379337537502,0.44952837131170115,0.4157030682000506,0.3687164556032055,0.336001981737998,0.4065391333458955,0.4302574703836416,0.5667639018982344,0.3996514659657345,0.38638721865090986,0.3728332665847534,0.3775218353213647,0.3992146085110823,0.40327999961675415,0.42253647352833656,0.5813703342822277,0.6452690670717266,0.758292394432646,1.6551366010406652,1.0569979964998477,1.4518420683715487,1.195833785989282,0.808481117958155,0.6441611194986053,0.557220258481702,0.5057767283597203,0.622504547302699,0.44330393263327217,0.47894563457068134,0.44055714924150613,0.5224023474015477,0.5647054742304257,0.4752427124172357,0.6304713729668735,0.7215901336008639,0.7466576623394422,0.9564035271947484,0.8373230262624248,0.9943550622543199,0.951233124217243,0.9409077808576333,1.1103977465886563,1.233937861596695,1.1719568754420144,1.1297771811772588,1.1898055983501639,1.1543477173711914,1.047330029930792,0.9200780178331647,1.0432106264908156,1.0594937252594434,1.8232727794112142,1.4058979886582679,1.903698580764201,1.0219672048024018,0.9298582826492062,0.8757808581358635,0.779672969880237,0.8715447551925029,0.7165326806132319,0.7299611504496795,0.7907352983889337,0.9930163715380775,0.6403358281928057,0.7591285773430233,0.8556128498947869,0.9116832388735507,0.9683217512884241,0.6031719503884511,0.5372743772962272,0.5691016645371907,0.6801746823834738,0.7475097142814627,0.9639962508173892,0.8289791319155086,0.6678832829810946,0.8508387455663623,0.991339556777526,0.8127627677816281,0.864636437224311,1.0788071577475007,1.1656026204593553,1.0525178569067597,1.1634074654904352,1.312255805186359,1.3958638946472468,1.314791358603599,1.3277684571104544,1.1716664340934762,1.0833442783164102,0.9521900676539798,0.9296807357814592,1.0144232261910775,0.9229284640612944,0.84354735148203,0.8895805016719766,0.9135817106467434,0.7885490854315179,0.825759293616623,1.0221707845105272,0.8859952920388356,0.905301266959639,0.905154039354452,1.041120774930629,0.9808152815207626,0.9330765764614165,1.0392613608407686,1.2643584177308436,1.1450119126822205,0.9602126330553937,0.8412051690149476,0.7379308711584078,1.0355834244897708,0.9370575438487344,1.0262922205789111,1.3009160772858956,0.7158758002043077,0.5633940302076498,0.4340623798393433,0.7380058945968053,0.5331275965783568,0.4653660102025649,0.6876738004747487,0.8612536016346651,0.5052402487983635,0.7060788290595594,0.6792235234026649,0.4887294626997509,0.7809508323639863,0.8146672072729132,0.5554190413473858,0.8774911628120213,1.2702806756493594,1.8985219536565767],[1.115941546577447,0.5688103899791216,0.6543259458493896,0.3029790709133242,0.3667780154150488,0.28986892408310283,0.21559429371703356,0.2843913218813259,0.3084365853631304,0.27905171433728415,0.3530219375295022,0.41947911327316373,0.3151298185470824,0.34207159850556906,0.4448623423110655,0.3846157029542048,0.3680875912797127,0.4401233309187679,0.5125564637635616,0.48130844334952555,0.5749540876055305,0.6894188124358739,0.7349735414915266,0.9028936876863082,0.6553518834216671,0.6175951016493145,0.5159892093361685,0.42335749797841454,0.3652484872414958,0.33470659944789855,0.4576887810982048,0.4194968585264233,0.5215546011614095,0.4579393485633764,0.3835360291932383,0.38573678138726747,0.39208063267467685,0.4015765804817217,0.4030861899565561,0.4232557008104854,0.7762494653774137,0.5419475392280353,0.5088009105871969,0.5476544015408934,0.8474029099246901,1.1203181539717177,1.1211410920365674,0.8446393664851385,1.7996184957999048,1.617432067809367,1.3926503594641686,1.9559215422640566,1.6878624233908621,1.1404206521186433,1.2055842897281188,1.0131751378741638,1.186532994085472,0.6838162560312983,1.257402364574818,0.9292248871891403,0.8613414792775315,0.7278655514327698,0.9767832762463667,0.843116250358918,0.7711665279992861,0.5767045342838606,0.7940725216417085,0.558532334810944,0.7578364267869055,0.6988641141987815,1.0194615792864572,1.255327811156853,0.9033018490408662,0.951571388020872,0.631759358710684,1.1115036843083397,0.5476964274685833,0.5138886409777735,0.4653949171081341,0.5005971637289809,0.4358372710259467,0.5271238128412676,0.9397135526433598,0.4031572489843902,0.4684683391914551,0.3811264423246614,0.4123317379193504,0.5043178285006652,0.4351207895748574,0.5035689707822473,0.48956822814834033,0.6696356926500676,0.6434138330165275,0.519190927801296,0.48683549653077185,0.6192608236818508,0.6012862044568095,0.48842267557731694,0.46955713940494204,0.7391456569998537,0.46024616178962374,0.565370773113881,0.38642179041464025,0.4456826463295113,0.4296526664980095,0.38891030159795265,0.5121767146013436,0.4689261908037238,0.45089186933458053,0.6243604033045734,0.295911657070722,0.28661367770446855,0.2388383006117203,0.3027106869437523,0.3425642532554417,0.3279320395875612,0.4908099205806382,0.7352821315869713,0.5535437711344415,0.4956320808025765,0.49171373777472704,0.4136981089670946,0.40230340201591297,0.25912026731488824,0.2903794106418402,0.430273429081263,0.2733791202520648,0.3168811629684701,0.27266668880328815,0.358995998306914,0.3405420022833731,0.35981536569754463,0.3125968474745135,0.4112084559540821,0.35976470726103826,0.3575433067783554,0.7846504654728491,0.7663193584262571,1.4736386124201986,0.5545804589905967,1.938477894484487,2.0635760422518534,0.8078031736268986,0.64548677887525,0.44548719435734335,0.35799670344453566,0.32857453223480204,0.32173827576183184,0.25365562211224607,0.33965705156919784,0.43829907053291145,0.5810557308767164,0.7639129537510073,1.541693483006046,1.2179681738149506,0.5711934218614022,0.41709324516091345,0.4333357319662363,0.32766500297234186,0.3500740783861355,0.33291684467827604,0.33381970734904287,0.36207458528589986,0.36817057656226027,0.44620234015578353,0.5634876561747657,0.4996490133391126,0.7150606217891241,0.9156650974016669,0.842081311957832,0.5561899810868284,0.4112882091142844,0.38988874222307607,0.33782793635740804,0.28789302095150576,0.3694772445278527,0.39902631478579925,0.5189659435175573,0.35531383297640956,0.3352169769415812,0.3397256940057397,0.3266335188076112,0.344175134883303,0.37311513174356825,0.39916894844919953,0.5831912889166468,0.6555911699126278,0.8331639672988504,1.7279011602793128,1.1505276237715996,1.3711992638061443,1.3083944577674325,0.8249190258433391,0.6485124473246718,0.5975560164599351,0.5612123112622742,0.5930012564259519,0.45272435743829115,0.4475834840074289,0.43141906787622275,0.38514343896478587,0.40530539907850843,0.3509319548889988,0.4835629956528292,0.5325238824757,0.575005936685988,0.8041943796060638,0.6499498977576583,0.7842967497475541,0.7753108404508742,0.7582639401255502,0.9056841083400802,1.0468907280431963,0.9879197703905744,0.9709542915222084,1.0438975468079374,0.9619671603075043,0.8809596385245935,0.7371726116121513,0.8292590640918882,0.8563883139478442,1.5923639001772996,1.215652113819836,1.7300034109666556,0.8369671302269576,0.727785561829151,0.7123566113759323,0.604253458320956,0.6970579293249571,0.5597120465648792,0.616515156873406,0.6999433531153499,0.8958808990735285,0.5495376816930334,0.716927977873805,0.8538596743014376,0.847649934372325,0.9890597582223809,0.5417536965214198,0.4729347835037022,0.46942602475941436,0.5470315448784479,0.6134646815330476,0.7756087929344954,0.6867334267551939,0.5057802255254207,0.6506893285108525,0.827624995378404,0.6580749294595033,0.6590355503613642,0.8789291641681093,0.9979471498932517,0.8613957417831599,0.9508675927883506,1.1196644927254473,1.2278006017040395,1.0959223322151872,1.0971542029132533,0.9420938226107219,0.8499228701427319,0.7292605982120328,0.7042608341567117,0.7860154521866449,0.7089230914747823,0.6349704616843188,0.6850099210183633,0.7283324963598407,0.6205746154970868,0.6633656785711348,0.9313318012207819,0.7670890311428282,0.8047365448799352,0.8140948213346019,1.0426767701358637,0.9507196876491689,0.9240237918560352,1.0967990990161498,1.3331962449309946,1.0681339789785766,0.9072672536133943,0.7320026219077702,0.6307300800663197,0.9756212184513529,0.9496483998705939,1.1039135720393123,1.4335732495725815,0.8310196257717674,0.5882328641793527,0.39399797780923784,0.6300550941630908,0.4942602663352695,0.34766663149215055,0.5457403352583228,0.7739638907247033,0.39830103669865563,0.6077939296825323,0.5746107970109472,0.4209097409067257,0.7090417716663863,0.7538177892885165,0.5168274490762074,0.9521897096926755,1.2777777723644514,1.8089838301345744],[1.0475160169365256,0.5193710734222321,0.6956108636478373,0.327961409012137,0.40091251616975293,0.31003477737822477,0.2807377777851389,0.31207940867731254,0.3435897777508824,0.30311790525158616,0.32464773308779926,0.3952830857089639,0.3231179702849092,0.34305291403954963,0.4623631674167696,0.37815627061527113,0.3946474742650812,0.4427729942372534,0.5175907896057899,0.4951138604817922,0.5832717242473265,0.7063419536995774,0.7354192435257358,0.9153460632467683,0.6718024878938377,0.6414588318411402,0.553862610351985,0.469866789863139,0.3903018365850234,0.3484754393015324,0.4518456487173705,0.40827179972725436,0.5049484978504055,0.44258676677377673,0.3732809733682311,0.38459050725442034,0.4032100595864096,0.4362971637821263,0.4553795446921354,0.47315346796237984,0.8292414367979739,0.5717499900890037,0.5476215307127626,0.5778318126279625,0.8540332480410595,1.139867834028425,1.1396792303070598,0.8846385534189355,1.8432981893529132,1.6107645350640718,1.4189728024090442,1.985414646638475,1.6928754046874812,1.1716271219930594,1.208720082179898,1.0086653084124861,1.1976110339401227,0.7015431429793008,1.2286075437952775,0.9386444223665257,0.8774865413528535,0.7340447883526481,0.9295156353593615,0.8229735415428556,0.7991959159926605,0.5835160947680794,0.7862523204761496,0.5423806837802521,0.7303705918204707,0.6718952162630569,0.9879413017602892,1.2075371178139156,0.8621052822491082,0.921127530666686,0.5946044564217183,1.1093987638097955,0.5303428162220954,0.4977304344748197,0.45844061750210585,0.5215187197512916,0.44391010586463747,0.5527161626396445,0.9845979894940018,0.45257632342917026,0.5195665365355427,0.4110729957148505,0.4336706324604583,0.5037190495105792,0.4434459219260167,0.48588613056180574,0.45846264325680214,0.6774136131206716,0.6632633601437122,0.5188543378274494,0.48232931463663187,0.6220109817230212,0.6255695126844598,0.49608428070404004,0.4441073886181919,0.696509169474232,0.4367414626220294,0.5168396335605332,0.38346943816679346,0.42150527085120865,0.4377161187408155,0.4207634526809969,0.4987986245331515,0.5872892723288489,0.5495434141953869,0.6394897397134403,0.3244417150534125,0.34449757355591876,0.2976746969431691,0.3907531376074486,0.40847519405962823,0.4161913608682052,0.5418206897303619,0.7188963128304833,0.5898799247345392,0.5313572497513137,0.520307058626334,0.44357961418834946,0.47105440560307305,0.33161475792349976,0.3611031438619719,0.506902738538622,0.30524498189027494,0.4248129039335068,0.3762950871302593,0.46308477296106193,0.4533704287619126,0.4535002070620855,0.3941939760578202,0.4636813212309062,0.4011000967381008,0.40295070437099073,0.7063053322233708,0.7822711869174556,1.4734608786019627,0.6008634775503608,2.059290072837263,2.040191587168322,0.8512888879566235,0.7269773857875017,0.5322283262467473,0.42204590407515075,0.40512101408800444,0.3697546035998656,0.29616975491975833,0.3658596942515985,0.43028932231236183,0.5941891222293024,0.7287642751445408,1.4775679278885503,1.227029127017574,0.5485895949302237,0.40425561727083037,0.4183772523452065,0.3331300540011162,0.34922649251092186,0.39421055546228645,0.39045874543006226,0.41346438699188176,0.4221956051722278,0.5131029418519265,0.6014730755525419,0.5200479992642528,0.7088750490286734,0.8506225791924723,0.8310139855167069,0.5404076805753163,0.4609959782254718,0.4420620550137915,0.40008684992649907,0.3446725735467358,0.3973942495050731,0.426832308863913,0.5202533486066963,0.40695958948311955,0.3924180148837484,0.3892382991246809,0.36724603770378467,0.3984137225752022,0.4332812947776834,0.4544152151908643,0.6259020427492693,0.6953037030933767,0.8802059265502334,1.746514774904796,1.1976291340537508,1.3684246385353076,1.4180788810533282,0.8593261933680412,0.6769661818751663,0.6737737596142824,0.6617107555651606,0.6454142251803807,0.5708101998980475,0.5283105761401817,0.5570187981643271,0.3944494593645946,0.3642121507073814,0.3627243822003917,0.42418700848573687,0.4252607592776521,0.47810788640573765,0.7171944236299632,0.5362221616169551,0.6422164418569825,0.6559595091923216,0.6305790915747095,0.7382872828354952,0.8943234277964539,0.8861977515468793,0.8371601642275278,0.9067503562324541,0.8206591524085067,0.7454672371735962,0.6104281857447511,0.6655928286432231,0.6885993787646664,1.57439649893983,1.0462029087427633,1.585632948964052,0.7062312211117644,0.6259672735740136,0.6488877124154993,0.5870817210174716,0.6135857542874213,0.5169492041210362,0.5734732327851024,0.6700568750493584,0.8414713163717484,0.5517356667547372,0.8363298332859742,0.8088330665653338,0.8369242444916232,1.0675304602740425,0.5701256818914773,0.5435353305472871,0.5237415837749815,0.5353852409788642,0.6190941140890109,0.7011232175649562,0.6584407587688288,0.4818481791037485,0.5558109320467525,0.7479616555470994,0.5884044898206295,0.5531910680375556,0.7527975155169313,0.8890486636118415,0.7266304795245284,0.7861812758344846,0.9656963072981756,1.0947035706467723,0.9332607834065724,0.9167132924485693,0.7568294604732044,0.6737929593368751,0.5890153523651559,0.559950608164245,0.6072725680763471,0.5516948880621143,0.5002513691993739,0.5409827824606465,0.5989319408474698,0.5262545121709048,0.5632134932069822,0.834065449539614,0.7044113825101973,0.7277356418195794,0.7623771434551421,1.0110862688702738,0.9175373492996866,0.9300573091093929,1.1730709950468634,1.4355121272007332,0.9799726494186387,0.8463500783683928,0.6786850168723279,0.5882534086313773,0.9528127179213836,0.9408780905154788,1.108726688633281,1.4958739942037063,0.9768303582044422,0.6872229392776562,0.47893177706978823,0.5194588805215582,0.47180287206593785,0.3251949720458648,0.4776841180656357,0.8143779071856106,0.3745083594755154,0.5494297952117219,0.5102976027324279,0.41964866887367147,0.7141021742264904,0.785045454573135,0.7055002543562945,1.1609256951604214,1.5924083727086649,2.062606543591959],[0.8429326011959839,0.5960401259136541,0.8094722983208346,0.4066280330590059,0.4356632508063932,0.36991878854101773,0.3735865346354103,0.3641304177153143,0.415304381637502,0.39044633271623397,0.38248903863077044,0.4245547536126829,0.40283860358964796,0.4143872691187533,0.5868291643984452,0.4640159019585748,0.463649571008661,0.4842910161117261,0.5661018144683512,0.5532086418003422,0.6425835493332315,0.7512136848151812,0.8332686519963283,1.0339062320033976,0.7587119337535769,0.7085873265355238,0.6373458773853252,0.5273908782497609,0.4533844289227966,0.43492320513245136,0.519474199925523,0.45731174859902574,0.5499520580045683,0.5182213451151377,0.43881284121595215,0.45905753727700127,0.46600610850337665,0.5156086113826817,0.5423987061038262,0.5770658749055506,0.8811940591437762,0.6520621866967711,0.6422117330653039,0.6790236997455896,1.0117303432770235,1.3020653411525436,1.3670251346888302,0.9920702826267626,1.8821791286892684,1.6084702102111463,1.4266530303943938,2.0656880847531873,1.70009149994578,1.2307320423920975,1.212768046951099,1.0624008955618327,1.3277086103592741,0.8013940699913177,1.2052239412372114,1.0931257860790384,0.9961874463799018,0.8150816012460025,0.8653526465478811,0.8954345852738235,0.9181431908992826,0.6573249541395007,0.8262509005536969,0.5860427712584488,0.7712433208623048,0.7047471795954369,0.9219554468632625,1.0874103786252802,0.8274670042468388,0.9531716844722804,0.6151315296178403,1.1181947096216691,0.6067957647397779,0.5644383823423487,0.5387222803431138,0.5875062807162831,0.521505963495916,0.6016637293831818,1.00157434446614,0.5517536484619765,0.6378590657814485,0.4943290753284466,0.5030598034574949,0.5328952494774053,0.5285155708441999,0.539859238341688,0.5359039544414949,0.7757007986093414,0.7684504343788991,0.628152565383965,0.576282145480432,0.7250240779212002,0.7042071093781508,0.5620567546631586,0.48915230814131844,0.6921242464458487,0.4618287768088917,0.5399948525336298,0.4530910115389022,0.4734992810708442,0.49952348076726627,0.501046414110526,0.5839437472551297,0.829740583283707,0.7714030048231331,0.6671326606933199,0.4525920667979619,0.4494204381763591,0.40022138320451417,0.4775395592768349,0.47357064720580133,0.48395983534998316,0.5604659035674836,0.687828191621862,0.6597278071345428,0.5565585091195882,0.5714913331898538,0.48067595367221544,0.5150967036165583,0.418734999706952,0.47689241473845845,0.6526893791479381,0.4219576413704034,0.5572397506573201,0.5550080477795942,0.6531723430421016,0.6797627303613724,0.6643066248114562,0.599110195479766,0.6207263071883917,0.5666542833311355,0.5727092574704219,0.6985343582015665,0.7907332949934806,1.2550536393857274,0.6281509254432495,1.9589430248774056,2.253517397799193,0.9713752774119803,0.798919156426945,0.6394303904249153,0.504111144342374,0.49016366557905605,0.44872478891735684,0.3917669890656168,0.42343253301870354,0.4544654033836888,0.5981036707774007,0.7011776269896417,1.4091544904695406,1.2135595034304119,0.5483695975223392,0.4453544530298853,0.44567617433905715,0.4323344331074609,0.43581548088148936,0.4904425528896058,0.47301607607608936,0.5039227924181666,0.5225372056820158,0.6712620708274789,0.7395981245437431,0.6509353697706811,0.8608688344488024,0.9381633188380473,0.8749213006829499,0.6182534035469255,0.5852896446712176,0.5568555867267307,0.5057582566356773,0.4597987492313951,0.48502377738821734,0.5354942067167602,0.5840804725317708,0.504011160636942,0.48906704187553374,0.5096070549404925,0.45424526550101935,0.5045823818996511,0.6141168977338698,0.6177126631594844,0.7465597706374798,0.7919727717998242,1.0104647141874774,1.9096993343826447,1.435845304424647,1.3011615306326014,1.678993518034746,1.0050572191253895,0.8443715009718594,0.8833900682017922,0.9237680283027765,0.842125981141887,0.8234648546701281,0.7399290290694234,0.7612740233178173,0.5461893698459749,0.4644467918064492,0.48938907957580546,0.5121362630182192,0.4423936104240394,0.46386694506311893,0.6774314452936065,0.5114433280302156,0.5575581371208014,0.5905262740972334,0.5889031246243703,0.6650342749724404,0.8218435913460768,0.7989647262209374,0.7901141565233086,0.8591543479946787,0.7419498876697176,0.7455586050683304,0.617304454194534,0.6299983390542008,0.7153954409002781,1.4207999374172335,1.0488564058798004,1.476055195902323,0.704940557899334,0.65543754663831,0.7242650577462204,0.6677506946918784,0.6974499631235285,0.6463672454127802,0.6895682907266458,0.8536051674319868,0.9774027908671375,0.7433383781612998,1.0136488748353396,1.0490813677201822,0.9967160070227381,1.2204960166681034,0.7441773229256223,0.7579288256258465,0.7058306269952145,0.6341841054548957,0.6887874242232089,0.6762217204468487,0.7018389344209177,0.5605847245298085,0.5297564254280089,0.6974302226517628,0.5856410958832764,0.5091169423198824,0.6613601046656314,0.821079986952078,0.6396631649891081,0.6832714213739153,0.8571033237423846,1.0087229443780954,0.8253102985705412,0.7997004580927553,0.6493936982907677,0.571075705102126,0.5266439978149663,0.5062748660168982,0.540243003188282,0.512240127573813,0.5121419039627088,0.5485461009781625,0.6113058912726343,0.5958610265587928,0.6571899170534142,0.9267742043630024,0.8028295715076763,0.8321760533123382,0.9046072438867877,1.1488971219644826,1.0490294878483957,1.0550232346567745,1.347003497989352,1.554291170591526,1.0636523857936266,0.8894703218477511,0.6958201183705522,0.5856770239785482,0.9074442736397758,1.002907218157843,1.2483274206500259,1.6719681616195945,1.2084076048949464,0.7865444538662202,0.6774811445833321,0.5518788716095144,0.504406884513991,0.4155175438022834,0.4556652278069529,0.8014816658721964,0.39867954684298806,0.5062194478611525,0.48612581506224195,0.44496980595570507,0.6773285569714114,0.740222210034656,0.6483099461811201,1.167272617540286,1.535891077502881,1.964527404200552],[0.9013726539271637,0.5231257784398747,0.7751472590956678,0.34411211678606185,0.397909027208645,0.34838169098055016,0.38790720178865745,0.42492977830155526,0.4685402073543974,0.465408936754965,0.48076347505179406,0.5223212735272228,0.5024589899536848,0.5170032033153769,0.7106390113712143,0.571941251727875,0.5423614045636522,0.5761070366883325,0.6663949915908952,0.654720312868614,0.7666729963541605,0.8783303163049845,0.9285299857971566,1.1755884324555257,0.8455289788757437,0.8319134202763347,0.7658001331279363,0.6402770529604351,0.5488490843311562,0.5349481352945507,0.6221426655492155,0.5654042506248863,0.6738720999625172,0.6291651326085027,0.5573619393906855,0.5606149827866777,0.5626424495814323,0.602665772369845,0.6609160566943694,0.6773633986085014,0.9803465238068243,0.7604160931458988,0.7554207367129449,0.757442720072606,1.0315712985869387,1.3479814074257657,1.3606346892768053,1.0698859025325769,1.9781098022741608,1.6112170289688847,1.484258981365287,2.0707026534849393,1.6855364676935765,1.333059847289543,1.2226218511334892,1.04343298242054,1.3106941693292744,0.8431996005092655,1.1716078187023136,1.0698394883051312,1.0194007119581137,0.8819413291748821,0.8631377393597901,0.9856663804089834,1.0137227515257827,0.71761689613776,0.9142675082481737,0.6561469820926812,0.8148947937797267,0.767368000794479,0.9559890712524604,1.123772657614727,0.8687564595460603,0.9775251225281902,0.6901493807036325,1.1904545367638126,0.6921244409422691,0.65956075139143,0.6388867294450873,0.6955377915472216,0.6179008278892834,0.668195758644945,1.084777419356494,0.658297349970812,0.7286209565126459,0.5776496944764339,0.6000185082790629,0.6226482824387816,0.6389834077922983,0.6349722270301873,0.6385092892650829,0.8648724730319329,0.8721346351209558,0.748683848638805,0.6956310436163337,0.8474067954348784,0.8375719303013045,0.6964079489541061,0.6223634511280037,0.7855731699811733,0.557969678637097,0.6138426734878873,0.545453500539206,0.4988179001207539,0.5158649986583212,0.5075320509514276,0.5603214488884649,0.8451930098216844,0.751781447905062,0.6385678962510347,0.4168642615069717,0.467049461938352,0.4334214349067672,0.5153928241635092,0.5390174997563569,0.5726989805479227,0.6718671512626224,0.6751478172978788,0.7072253476481162,0.6665872739085958,0.6824235650202923,0.5949512045799715,0.6349497080683522,0.4748425708171273,0.45814721676206077,0.6495696931050008,0.3909131328454123,0.6045789198717487,0.6150194275523829,0.7365310223530704,0.7153655507777088,0.6879985064437447,0.6647642233409033,0.652378507887798,0.647218816711075,0.6353340814576828,0.6838088661509901,0.812147530876703,1.2460513550211774,0.6681302858975715,2.211639589565011,2.1993723985455116,1.024943574715897,0.9348101660258579,0.7559276549231692,0.5927244583665975,0.5748203627189536,0.49198337623986843,0.4502208824230534,0.4856337077490423,0.5251611405420669,0.717970370975503,0.7776802289188635,1.4238396470638006,1.312771606840654,0.6487444798639698,0.5472453082267936,0.5219853370835923,0.49778827708538015,0.47370921056258875,0.551970063366961,0.5423120842637997,0.581769767648921,0.6069719816660253,0.7869258902885801,0.8501481873641066,0.7481268840176641,0.957442050190083,0.9598144833773752,0.9509396299015788,0.7024030205342742,0.7120329646623906,0.6553245511374581,0.5776711193082921,0.528760659696345,0.5332811140620731,0.5833523417538633,0.6412328127514564,0.5767570430460686,0.5664903582314712,0.5670777874657569,0.49235334091447774,0.5586978871945728,0.6611987748140982,0.6687361459827886,0.7973544690847435,0.8472965467849097,1.078930834794041,1.9603070796471056,1.500641412447431,1.321770663661349,1.8198216848142992,1.0724782163934203,0.9221591897141443,0.9752829714886233,0.9771357774517568,0.8772428762503732,0.8720135701025505,0.7449656512577281,0.7685757114224286,0.5400331721426105,0.4638352577423206,0.46657905194590366,0.4485401927123434,0.389872899687718,0.42334340444844404,0.6228507104999244,0.45374916357122186,0.5291146067070123,0.555503990558499,0.5314831915371512,0.6204143261058791,0.8041770389550285,0.8123592351194243,0.7586774905962889,0.8071822678340377,0.7170978947708166,0.6697215975979448,0.5464890519161826,0.5568112771508883,0.6046991222256083,1.5177121573193675,0.9740946837624759,1.4163363249289957,0.6455229601571905,0.6284158734184482,0.712372839880391,0.706275556062102,0.6520055345642909,0.6165690405773739,0.7130012735526026,0.8355581320322918,0.9115287966586241,0.7294455472039877,1.0872177053839884,0.9674520437926292,0.9505564266734577,1.2395734594081709,0.7168952004970001,0.7953656939607008,0.7649905217059421,0.6632574553698509,0.7373052228683061,0.7247274406189452,0.7723789552580261,0.6023107468235154,0.5515794691586241,0.7578242862080877,0.6105957477455495,0.5019868585968619,0.6909473050607113,0.8420824378866103,0.6557146215903447,0.6956080157028013,0.8709248931719344,1.0197279206407686,0.8314559760715858,0.7984854517561067,0.6137943261284962,0.5291377506347616,0.47741126778539816,0.4509701730515847,0.47525151957350126,0.4456805807990938,0.43500891995709084,0.46391578250062426,0.5276475265760485,0.5085948494609585,0.5745271566827289,0.8386009445360024,0.7410496237719701,0.7516589334369829,0.8536108898241355,1.1284674726380044,1.023688875015386,1.0430070424555817,1.386495391407671,1.6151888029293306,1.0056475275793249,0.8499912295910399,0.6495705836834422,0.5584799514900951,0.8956308400776377,0.9558720036309956,1.1994202825959444,1.6265952522000842,1.2254642104416107,0.7629950104564023,0.6557604334766262,0.47336952414913186,0.4662780953849213,0.36945343405434,0.45231447733556207,0.8410153814837261,0.38782919216550155,0.5202819933451345,0.516709075718002,0.45177161040523983,0.7310638252563778,0.811624229084422,0.8732451191151559,1.378436146581554,2.0145772906351427,2.3800175278926847],[0.9801398422895439,0.7921770593240861,0.9847475073609879,0.6431260428827642,0.6275654125395383,0.5124448319256728,0.5426920926620334,0.5300574363207198,0.5296073085127874,0.5635569608902611,0.5799739198698153,0.6279245407153902,0.6806583713123008,0.6854232720229408,0.9415312583270871,0.8157304623941553,0.779114219793192,0.8668009061814604,0.934921796116795,0.9253633934428425,0.9880081478528431,1.0451590185905735,1.1429523740616867,1.4406474155916036,1.0732385065885133,1.0490868117833485,0.9944302668585655,0.8494946201113194,0.8035630814605542,0.797134975702629,0.9354164391859919,0.8013514786021086,0.96418759246354,0.9312884255525029,0.8601360402405315,0.8580387931814873,0.7951161536198881,0.8431119934224208,0.8947106742900612,0.9195042041353113,1.142496062246071,0.9881181089604911,1.00348852059521,1.0199972370929682,1.329849522239565,1.632878116608109,1.7257720762783046,1.2614071904169748,2.0025868817358057,1.6449676314514543,1.5311717014165427,2.122629807385504,1.715911885691799,1.4963877159849621,1.2915392770683924,1.2074840693718822,1.5347634340986427,1.0546080279067387,1.276689349639317,1.3307181718833632,1.2478851343564736,1.1341776380533055,1.0911011117843943,1.2660433675765872,1.213106485365618,0.9908500460005266,1.0863740585059782,0.9487438964292235,1.0609487072304107,1.055899118817562,1.115434595488274,1.2144596752171275,1.0915358186090443,1.2196657557547614,0.9892705837386726,1.4443259870135792,0.9944828727022237,0.9986057415633102,0.9506607469623484,0.9354744993016197,0.8893619343738598,0.8737667992155734,1.2155154371217687,0.8773393587042546,0.9295041815351014,0.8201882021369988,0.8518069640105902,0.8967092248952768,0.9249018603321157,0.9491857353852667,0.9811886567194517,1.2131127176289693,1.2252947511190768,1.074170341939077,0.9692553431396936,1.1030847246042241,1.047308098005392,0.90024173664561,0.7787523191507424,0.9111057299529749,0.7455159756836014,0.7365875594827102,0.7334940120247524,0.6529661773714379,0.7127286631463396,0.7113355553653592,0.7578322814187515,1.0474530120025252,0.9675195607449224,0.774054824866306,0.6166753282373623,0.6618236626162473,0.597914103514456,0.6842690325640568,0.691762001047506,0.7472263681530039,0.8460479278088541,0.9817898011215657,0.992192755501662,0.9142470198562657,0.9325230095050838,0.810631954400224,0.7864232335808883,0.6627467696093517,0.6277309341851962,0.8242342237768723,0.6111781633854506,0.7977727017079725,0.8432200960251257,0.9675038203062624,0.9930728274649306,0.9523285352008148,0.9277744393142295,0.8737879261713172,0.9050556593528968,0.8922256492484036,0.8756617018014847,0.9840366340873609,1.1539108821698592,0.8698505771153765,2.0914735182287543,2.3529597765983867,1.188342457216754,1.095651114782448,0.970599659304935,0.8030394531947738,0.7746680611175619,0.6876849441720466,0.633075236362856,0.6265190309605514,0.6432873168400641,0.7866513060653259,0.8443542819607399,1.4520194849895056,1.3738977268580355,0.7528044294822365,0.6764082835173562,0.6522705663190985,0.6593818425027367,0.6546540765635881,0.7652180663756235,0.7472612993094709,0.7903329944758436,0.8235364828883868,1.028684959686771,1.0715101277174606,1.004943847161641,1.223694236069899,1.2133784336700042,1.168378641822095,0.9452664598718341,0.953957027881953,0.8755524837608547,0.8029796928373814,0.7614836131654079,0.7517526335682593,0.7877251951992298,0.8418465416787928,0.7861494874597539,0.7802654172126198,0.7955487987905968,0.721867697268395,0.7909354155640871,0.9004806622724469,0.9040819743180513,0.9959773063569494,1.0236954826374,1.2721661039904442,2.170160660839657,1.7618927898480146,1.4091796277979551,2.083981551604771,1.295094288701825,1.1621143584820475,1.2259824410642477,1.2724208731436035,1.1675652110109023,1.177695767525211,1.0467742540454308,1.0296093104283717,0.8222838545272831,0.7035438030876903,0.7155339956578473,0.731942075564688,0.6297363043915585,0.6004554757932157,0.7966134480669534,0.6623285160467725,0.6351761706903013,0.6682567454046643,0.6970886343922319,0.7470924319165037,0.8900340387337511,0.9117747350303613,0.9204008708702534,0.9506676774130655,0.8736629305292171,0.8987635082962285,0.7819568614213366,0.7566599682888082,0.8102393998555278,1.4751115235832089,1.0992992581682401,1.4764813046901333,0.8238509198627004,0.7907390230235094,0.8844275416532548,0.9272079807091236,0.8989131712260958,0.8780496022398848,0.960578867769585,1.1261792634700127,1.1714999585172006,1.045951617980617,1.355454996616649,1.2974279909538868,1.246739238250622,1.5047944847867907,1.034915585709889,1.0476175552811486,1.0060545906769156,0.8753958633423545,0.9358521077808276,0.8529363907653887,0.9141686881885709,0.7979953282545346,0.6875495775638513,0.8098506604017857,0.737930029299829,0.6109492236556354,0.7265173818543234,0.86296578505721,0.6956094595396514,0.7284530570064942,0.8978694278012693,1.0440421256763173,0.8755097019464078,0.8482982455139866,0.7110705192994546,0.647420662661047,0.6155829501171152,0.631595519944177,0.6508427116351283,0.6417336203811909,0.6874995199242335,0.7152612164134434,0.77550586808088,0.7925022590093758,0.8580041000763217,1.0988399567110543,1.0187419489621359,1.0361307435311626,1.1629747443113516,1.3975506251405554,1.290066677039704,1.2922797587265142,1.6423042115707163,1.8056996860543917,1.2423218655616295,1.075420611577062,0.8700276457985987,0.7581672900384385,1.0439205947289378,1.1799376602922367,1.4683282170892094,1.8616386279253698,1.499649505215664,0.9904000980417044,0.9379292750376085,0.6705719397500585,0.6264086235167855,0.5661801552584949,0.5724405907566325,0.9265978954234942,0.5395202406883584,0.6285015684043017,0.6218399616831948,0.5585740154156457,0.7817264324380485,0.85429708787469,0.8425324906950773,1.238869391805279,1.8346991662622014,2.2504417644001355],[1.085311071112125,0.9164066992445469,1.1472653117354918,0.8917063871746084,1.0459965308114594,0.9660560684131828,1.1130697823679616,1.2289614804570728,1.1665470059971446,1.3151170686607538,1.4415348242514416,1.5337371113037503,1.578137815234708,1.565567602975716,1.912335348090175,1.7791504826471436,1.636442346705617,1.6795042739803943,1.496027945695387,1.5202802558907433,1.4089444468857804,1.4083452579025857,1.3862109018802633,1.635150186457147,1.3925419357793398,1.4029215530569925,1.4912944350205173,1.4798312280028612,1.5760910478417132,1.6662001059506815,1.8711512250991957,1.7512511671424156,1.9352190092695445,1.8509009443857514,1.7595573583060655,1.6758257253917976,1.6270635829619347,1.5042294138546832,1.491355387840049,1.4627183966362771,1.5544433277046605,1.4322751756111785,1.4190671310604657,1.4856638409583567,1.6748587924502243,1.9422487183116521,1.984519316582766,1.6634602456292673,2.2887657666789254,1.8960176925427508,1.8804577683348538,2.5007719908881065,2.0865909420542876,2.003289851584944,1.7259493697456618,1.708610998272793,1.9917136502389168,1.548610992876146,1.6796192200325868,1.7701111736659656,1.6628680303812013,1.612807921650782,1.629283568125974,1.6778730879117032,1.574793350743648,1.5203612673912559,1.495898050184576,1.6104893707891834,1.6185288591928102,1.8514348000636167,1.7480292638578985,1.749556405110704,1.7694165939816286,1.6962375656077933,1.7188862104310456,2.0212522265709807,1.6507619067236916,1.746152109844327,1.6705461751089632,1.5730469467798465,1.6026526726377974,1.522148544401872,1.8167669304056127,1.5433935430592545,1.5033233636214627,1.522082733973419,1.506863213046899,1.659563835089639,1.6516107212556634,1.7853475052497543,1.7974791934767833,1.99271376267556,2.087161693808944,2.020660441708362,1.933360161709808,2.009189848040182,1.9524768602762934,1.8667793180636747,1.7406138425539335,1.7850016393492567,1.7046632485339281,1.6100939541767296,1.6330535251688447,1.5031683383557737,1.4926326453213548,1.4191163183404414,1.424948094943673,1.5515860998485052,1.4371757869327726,1.445834863926568,1.2302102037375378,1.3081428003018025,1.282878851312035,1.3273160080130815,1.41357585762773,1.3595014909959904,1.4935539529638542,1.6155318858676815,1.434306457731747,1.6118234885595963,1.601318024966579,1.5254936483288841,1.3417824937801426,1.241562401110013,1.1810415112512322,1.2930179743838335,1.1465716858156203,1.3188784317360476,1.3989658907178921,1.5223293273837681,1.4912182332319548,1.4642694254939952,1.450375534211156,1.4286024611077395,1.4309502432781238,1.4016143108337407,1.37385944161782,1.3808977441953278,1.4248932899017341,1.3626525996720529,2.3914838248261745,2.376564791295825,1.5317465858718053,1.580471125178702,1.50926255292877,1.454024697503093,1.4375864919136867,1.4741328736239083,1.4260359619521779,1.4056306301466723,1.3906907651306066,1.5193415196925337,1.5651732056187766,1.9160289768910117,1.9816302640011008,1.6187347859201933,1.590760702386723,1.514248500981918,1.5523318329937468,1.4354740413361589,1.4314233850925993,1.4657808118356792,1.391341574802956,1.4206363156147808,1.5449557019783462,1.5674538907036233,1.5130018271021017,1.7067399219675363,1.6671762547334454,1.6558357683577978,1.4759593920114868,1.495307121396238,1.4460065265083066,1.4258585056268465,1.458115309295236,1.5075539043870088,1.5966832669473707,1.6379207906279674,1.483887843511075,1.5007002730437011,1.4422150576349604,1.4110119778817087,1.4080626959114755,1.4663582559528288,1.4644796911810791,1.4781096033693035,1.466773876374888,1.619576917101847,2.4353631900709938,2.0931855064804514,1.6774002017666056,2.5632690630057144,1.768134719532293,1.6555307251900255,1.682933725414034,1.710878376384864,1.6010669035560097,1.654921434071748,1.5141056914514939,1.503681532039189,1.334942775967791,1.2502996085759193,1.235603867065455,1.204776252527282,1.1380524643250638,1.0892172465426035,1.1301536689846436,1.051483073488645,1.0345345729803814,0.9835775037050872,0.9779713889757692,0.9787896483423616,1.0789547256887089,1.0444875872240218,1.008359899035932,1.0402836179492172,1.0329629105594826,1.102000445962696,1.0785608878713424,1.0334964691973882,1.1360046334729796,1.7293900602776862,1.3892222260385947,1.6805342186927945,1.2920505381508598,1.3485703305118355,1.4365748129240996,1.5092119384907101,1.409414064715738,1.4068019924932726,1.4907404353627967,1.5890369416488004,1.5724110434429148,1.5081451840925297,1.8113512457656562,1.6311537336814372,1.582057355849405,1.8615063764452324,1.4699286429958829,1.5694475922202387,1.5616244713853884,1.4507712217222253,1.5018936394256497,1.4266117781068783,1.5168462965330993,1.3852365884729072,1.268296377507113,1.4491106217277323,1.324525058207923,1.183399562964537,1.2401276361119695,1.336226469864979,1.1191069404522138,1.125076518614802,1.241793196309099,1.3030459523869373,1.1355088105764994,1.1228881896112286,1.0277233127143277,1.0739058724263393,1.1383854463279686,1.1647226548330203,1.0578823252212832,1.0658078650152194,1.1968266194373294,1.1608734753487933,1.1374672497969134,1.2227899166003484,1.2907713886870276,1.3921621459748255,1.358470752041985,1.3814234152807299,1.5169956416738377,1.6775118835485052,1.6205803344030487,1.5874854974273385,1.929752645844661,2.055643771251454,1.4487200532092586,1.2572210773897674,1.1214164220675253,0.989416245406638,1.1931062167277673,1.3792535656075655,1.6826454277736798,2.10693479148632,1.8437208520255142,1.3689859276524319,1.3861263317947787,1.1951314633666938,1.0669028298759327,1.1266787409523344,1.1270612969686888,1.3797540335439726,1.0637163921163972,1.039953427375434,1.104578739102891,1.080510231595387,1.0931660104255756,1.2158000397065105,1.3415255797221315,1.8108004605771446,2.574676956375483,2.955814175020197],[1.1104481509526545,0.7568820856280021,0.93229431823376,0.653616323520854,0.8052630672429028,0.8141481941330936,0.8978602855262368,1.0061877965881048,0.9932742550309058,1.0403304220447198,1.1052871284928427,1.1781264453683784,1.1243350295635661,1.1181447830944078,1.2794862429816138,1.1955670722416847,1.105755534141524,1.0995668830686278,1.0939592674492817,1.1001501481459501,1.1663974478894474,1.189957904231793,1.284717106143209,1.643220768409975,1.2354767567584604,1.2288298057817146,1.1913161651528417,1.0939240863989592,1.0672066496503942,1.1279123712742534,1.2026121272866335,1.191230922248444,1.3486710414637468,1.2115002493712497,1.1545177220749283,1.1083388302034722,1.1001380178327973,1.0511487961281987,1.103359243511074,1.1116220479693366,1.2979202940647894,1.13679030417139,1.1301595493288896,1.1602570595565986,1.3388715309559838,1.6359994095190948,1.6175375871524784,1.4076472513676868,2.224164179964828,1.755254756745735,1.7377547078219064,2.2674879219496336,1.8389338632467431,1.8195270327334667,1.4762295167255017,1.27928146350317,1.5794526841936145,1.2202399417548861,1.2770634306572677,1.3069635770000512,1.3275753143118618,1.2882628803001148,1.1793208649948101,1.4413806559172129,1.378582438622209,1.1190230456447368,1.2563560772226012,1.080199492521849,1.150649313979794,1.1601591046569775,1.1847664934092799,1.2577059040250749,1.1307657886136782,1.2426745936668226,1.091087704228564,1.4940090917909783,1.1165463875460837,1.1425538516451152,1.1206286216390635,1.1369870158232944,1.102958941655418,1.088564732209724,1.428849841804076,1.132340956489861,1.1274868030344496,1.0758886975615825,1.055339919688494,1.1640737145547646,1.1384007052304665,1.168743054946714,1.1648074980011356,1.3125053109215987,1.3913218873491682,1.328675900264382,1.2795833807788182,1.421090280173577,1.4080848268523052,1.3180849940318022,1.2759082307200285,1.4389594558891008,1.2157874781110694,1.2048992232496518,1.1587092175017957,1.1030746321300287,1.075345881625005,1.0570934830168504,1.078317693960783,1.206457958699818,1.126426109035909,1.1499009686357804,0.9412686643359531,0.9881342664431978,0.9743826507781549,1.012242642861087,1.0517330968294147,1.0216281986609932,1.1058852591794663,1.33706748741515,1.1271813463848321,1.1397866899167943,1.1283671366471721,1.0808776120962467,1.056928873299515,0.9372301355951116,0.9305937726093817,1.0286397257820015,0.8813057587460327,1.0258123756165065,1.0690600074201757,1.1540079264277516,1.1095449624617937,1.0966321943004094,1.06257276719125,1.0760708897780764,1.0486127593994916,1.0229422886537558,1.0210317734119432,1.0750714251076192,1.2814816752927076,1.0519228040781825,2.3698257175018367,2.1509263714817446,1.284150375804662,1.3062977930009245,1.18993227531004,1.0532396677221163,1.0496784514977244,1.0451030979942608,1.0308777763121297,1.044929866211836,1.0857051120282242,1.271844987566938,1.3456449643900465,1.82525717783498,1.816234442688887,1.3061571480777037,1.1962844453918013,1.1329842568615707,1.0994604346029986,1.0395222423511523,1.040979339677639,1.0292472724812152,1.0202871769709938,1.0576601814767452,1.2343772641159017,1.2514911759026057,1.1635309956145843,1.3657077805570645,1.2879801794421002,1.2940685484550174,1.081910939354141,1.1367367788205263,1.0890998058191244,1.0368249955959326,1.0295866706402936,1.066017964608834,1.1307927263751185,1.1816964534717604,1.0513540721018553,1.0685859771787642,1.048501691432581,1.0055966064125814,1.021303024580872,1.0873986673972154,1.0961562232019677,1.1440484299748725,1.1716362416040467,1.3625740411095935,2.195488440964894,1.7839893541462866,1.4507816387212167,2.2165931490801336,1.3988115567212758,1.2591563097413858,1.2879506683085982,1.3052255099059942,1.1933544505509637,1.2507507749988462,1.1107792423270346,1.1422282336170204,0.9689940567599196,0.9375790342558905,0.920893538052315,0.8649626181364886,0.8535207508682428,0.8781602870048583,0.9067372078818964,0.8001205726117822,0.9276773142927707,0.881163397051225,0.83899889793627,0.9212009948487668,1.0814269501462894,1.033550562053133,0.9559965041319841,0.939933326702441,0.9496403751742054,0.8461672665316549,0.8159951122564444,0.8355341335278629,0.847624717185677,1.6928377649717925,1.1611240794845776,1.6279265969661445,1.0143590295131808,1.0578238827505453,1.1282327514368657,1.135066628356344,1.0561725720223905,1.0332603585157079,1.1178253617189258,1.193317948064863,1.205740610749625,1.0995571622959064,1.4115967910137222,1.1950870952442039,1.1843046616243846,1.4688693000565842,1.0585002574427151,1.1590622240605013,1.167805431892435,1.1110941141801647,1.1913869522224545,1.192809255064078,1.259901970399465,1.0899490776124356,1.0513788968675697,1.2766874617924857,1.1026368438860201,1.0064546611578873,1.1535492586895015,1.27705211301237,1.063759993044592,1.088125799087654,1.2572658898510347,1.3176297648471906,1.1458894517872291,1.1368326783038558,0.9826868325270415,0.9608676856711514,0.9622705260654594,0.9468923574507631,0.8836300424898242,0.8593506528645535,0.9143026002504656,0.8571853015820873,0.8496376057300309,0.8846717149057552,0.9184379108436863,1.0631939136081436,0.9838778052577702,0.9831130454940854,1.0885970341012878,1.2800605466763921,1.2058590738471704,1.2036143406003708,1.529031951395153,1.7246145111179616,1.123630671422192,0.9683759570575293,0.8366849571697832,0.781421259127453,0.9996749083319882,1.0891142362250237,1.3433858394399472,1.7867983734213493,1.4418526751366048,1.0618876295727107,1.0258930150343708,0.9074955972188214,0.8575371915430201,0.8875518750727621,0.9417035913588319,1.2267003040413726,0.872626154799929,0.9218126672471492,0.9734541261235414,0.9069001282432245,1.0305951565259608,1.1942566037042182,1.3240025951931076,1.6160257978235715,2.3713134079813427,2.899093155576366],[1.0088372082031418,0.5700861779277813,0.7547276606760416,0.3777274673456609,0.4210337663473531,0.35360832864991426,0.3663084889106791,0.39253686565028706,0.40828129177330075,0.43496552740025707,0.47649882634179497,0.5679742248705988,0.5211385588520775,0.5209925682684823,0.7017126019615336,0.6233520352880154,0.6421451826309669,0.7485509089483081,0.904715157647828,0.8672690229207058,1.01749005146654,1.0659060674640906,1.1923772033077513,1.5209568044941681,1.0692269085571633,1.0596764688841904,0.9554708134506701,0.7945096677928691,0.6917046706891782,0.6277030079490762,0.7362755751129942,0.6535070866788405,0.8222087582125706,0.7701158310416438,0.686138569836891,0.7023210338765195,0.6497583351777453,0.7483680039058125,0.7958079264689412,0.8196176590445342,1.1142325716224348,0.943081781542779,0.9490831282914286,0.9181784392681408,1.169072617573744,1.4695853606547442,1.4891539639776854,1.2127230743204302,2.0627361825696773,1.6239668475357678,1.5672338836874529,2.1084296647392615,1.6845253897435406,1.5399188458680826,1.2925878979178196,1.0675874262803942,1.3665750259355496,0.9900092464320133,1.170419158725888,1.1256787342706531,1.1622743004832221,1.1202135678301026,0.9927532405570695,1.332737839022552,1.2611639675991164,0.9292178985061622,1.1603903007353285,0.8783393481140009,1.0445458789667512,0.9312410159530455,1.0934681115661076,1.2741129536615732,1.033284244156044,1.1958647082998148,0.8852861005663795,1.365861599418223,0.9158287887988684,0.8633327514042245,0.8328514088034028,0.8764654992263317,0.7707976721029954,0.7810558176111319,1.1511504285742173,0.7552035502487169,0.812851828068428,0.6927617649808603,0.7425431943102524,0.7602926403452536,0.8086889319664615,0.7862368071487615,0.8206782208878006,1.0193154688329291,0.9992439536823848,0.8888400086714052,0.7923395334257158,0.9781913239805228,0.918409186012246,0.7723661688007261,0.6880237621851277,0.906677897204527,0.6376563916450603,0.6339675073204306,0.5743255418356394,0.5256084572029079,0.5433401870850854,0.5097851281014119,0.5704190542235039,0.7964344441543165,0.697070063779579,0.6651868838930661,0.3906784485482001,0.4651316692094714,0.405153800603893,0.5511716055385969,0.5990058855032565,0.6545231386540714,0.7852692329869396,0.972008016136958,0.911350533812841,0.8538768546028508,0.8583113938399369,0.7363842951276118,0.7567457805840359,0.5258654917971513,0.47348426854068854,0.6685304850224204,0.3963475610373281,0.6176727502399083,0.6207261870875787,0.7362767107598707,0.7281630323464304,0.694530758966385,0.6931331573394383,0.6803246660025686,0.6832041613115315,0.6619432201682109,0.7230120727985576,0.8457182799952606,1.205070750865419,0.744940045711211,2.2546704407156457,2.2145485508342957,1.1228740569401492,1.050432192618321,0.8949385897017806,0.7013344131327899,0.6697065573628058,0.542954332553175,0.4739197924889518,0.4801751942163987,0.5073405178047842,0.7392019705371475,0.8496630438664161,1.567832679733387,1.4091822792141482,0.7214122987304196,0.5784216156495526,0.5522153837483176,0.5147221930500682,0.4740638495120182,0.5763676924470696,0.629325077009687,0.672117923354794,0.7214911759972192,0.9237951723844622,0.9773958368351292,0.8627679969273367,1.0915691292418401,1.0490527961684677,1.041104403725632,0.7772083770036022,0.8096368306395706,0.7379421085570822,0.6489850457139388,0.5933328920838015,0.584367985997019,0.6275218140246029,0.6898180532048609,0.6409287508227884,0.6293378407424917,0.6456464704385223,0.5304540379489867,0.6154895528045055,0.7248510739860033,0.7526103407206652,0.8774153229755038,0.9387627940639288,1.1688885966351723,2.048599209429293,1.5900169852813664,1.3373938866559563,1.9294631666370223,1.137967936748975,0.9783602048598483,1.0127235858703574,1.0180848343265172,0.9056948546961598,0.8791469723747148,0.7412132180422819,0.733371931428486,0.5065393329786501,0.42551062319398697,0.4352782005818108,0.45012296313589145,0.415246401831391,0.47895060722177707,0.6780321040974114,0.5082470311928224,0.6569950101614496,0.6632969775553006,0.6338894740818433,0.7737339218149193,0.9665323819915976,0.9314334561367873,0.8891109692692581,0.9160797865381576,0.8385026126527156,0.7476982140377393,0.6098422044396379,0.6664935678670151,0.6717367926933282,1.5630131311767843,1.0287032064781942,1.518622052483836,0.6874554803905141,0.6490887799876247,0.7028933657178027,0.6756494784032049,0.6373229632544127,0.593633311646623,0.6740010731142063,0.805666115072064,0.9082787328711055,0.7102185417850396,1.0754404422090815,0.974648831436736,0.962671295709893,1.248547693732027,0.708209878219897,0.7606276060301641,0.7246925075414679,0.6211057896396507,0.7095306950851393,0.7559911800542326,0.786275166397516,0.5772046498295557,0.6009701238815393,0.8467261276717891,0.6480954742121988,0.5946622179695241,0.8348372236315097,0.9810181558593145,0.798505838119619,0.8653183734438022,1.074337030193865,1.1912276894160467,1.0208992857569288,1.0099635457670175,0.7931111815081872,0.6891937097587665,0.5841065031127595,0.533400797866697,0.590360902327214,0.5346188419776582,0.4732148883761115,0.5142384199027619,0.5844322442227888,0.530891365785528,0.5873689922791734,0.8663110434379523,0.7614411176652169,0.7741945682661229,0.8691271087052724,1.148995196330752,1.0463780498392146,1.049855542481364,1.3727929387904139,1.5753896062570505,1.0428544199076666,0.8940200484678363,0.6824317515261099,0.5962764297122118,0.9262447499177875,0.9900238671935163,1.2409380633128735,1.6580601166965665,1.196802606712332,0.7718591292522519,0.6466607886584328,0.4937537616807488,0.48559413473248186,0.37370079515187804,0.5201781906026024,0.8819566149088902,0.4210091646344979,0.582390753907875,0.5611717570617164,0.46026452650002353,0.744694571930968,0.8086991459735827,0.8463287065637257,1.1672814593027805,1.87718152009891,2.4473079335867065],[1.1093077309220893,0.5550643735356376,0.6878289852238919,0.32854873310618,0.38280067663099826,0.3380815027273808,0.29778704445923515,0.3138103612625868,0.3240897819874669,0.3204530974935024,0.3488089195516284,0.45173023648190486,0.3731785648267251,0.38741729043008266,0.5126409463858107,0.4552551776991617,0.5587038233820352,0.666066916768248,0.8223782724401555,0.7647672422529594,0.924552374488413,0.9950026699428832,1.0641586921739719,1.3369935295352264,0.9378467893804021,0.951034858864434,0.8476591605524291,0.7133062050212394,0.6002965392855895,0.4920784428016494,0.5579486587709113,0.49714462139444077,0.6231779045447953,0.5877787764793532,0.5136665725092604,0.5721238429928039,0.5337355684532696,0.6549772493737566,0.6873243805510723,0.6918604481251126,1.0040882806860225,0.8372574004240203,0.8229278233500922,0.7986428139720552,1.009963516347809,1.3132965180411393,1.2990798573286784,1.1237416653540928,2.045324618180152,1.653124410656519,1.5795490654414255,2.094987531268488,1.7353015889710939,1.4317925558573559,1.2930258772772476,1.009372842547839,1.255920499138632,0.8843785346560848,1.1343372206887075,0.983124631349669,1.0303161245892916,0.9721844205023704,0.9502316675679291,1.2008770624311522,1.114157373179242,0.8040338539224255,1.0800367412769065,0.7970703404210846,0.9926399811486454,0.858285571275144,1.1364327524525584,1.3655589640160466,1.0210692644834218,1.1546879684876354,0.8051164558536,1.290219793896089,0.8009634267013782,0.7059049339276706,0.681799855090369,0.758667752541207,0.6456551136073818,0.7053113842188419,1.1061949884428077,0.64016671533207,0.6968859527796709,0.5845998254403861,0.6454898186556438,0.6213174159313726,0.6799456624637499,0.6288005593156303,0.6619223829184363,0.8086583711540721,0.7739618770416649,0.6474244552784566,0.5699457485274284,0.7402792804970326,0.6903591678866675,0.5753023878286605,0.5294575292857924,0.7996096049652797,0.4942607753943041,0.5527862096153456,0.44311818505511424,0.4357919431736064,0.44187217659629413,0.4086926898370327,0.4895035511390596,0.6531741428002453,0.5761546860946244,0.6223910677343665,0.306451459376554,0.36383670596169154,0.3171974906818408,0.4694309654283566,0.5310422897723293,0.5736938967764442,0.7171170418884243,0.7610234050996114,0.8184882472676699,0.7918044202795349,0.785248401029116,0.6830670877402419,0.6677256411218011,0.45109522965629184,0.40827597863267834,0.5915077779505109,0.32449938922093624,0.5042572235225286,0.47479560486074446,0.5690127243230798,0.5558851658954165,0.5373541691467913,0.5177992073817865,0.5459073879472329,0.5160875829194536,0.5095724950827433,0.6772762699537438,0.783785525054918,1.3087461565789207,0.6681906983349528,2.262148718929613,2.1355060998269915,1.0337504080356934,0.9640629648151589,0.7718123088719152,0.6148425187360311,0.5747635006219437,0.4637777454922651,0.3772714476310934,0.3902643251989384,0.4462625894303742,0.6648499155482592,0.8038263165461205,1.5726745061689098,1.3304057728830891,0.6151198110623484,0.46184085282144166,0.4566883878662089,0.39885609373235537,0.3785822442367148,0.47678829801506684,0.5308300671320431,0.556635723267914,0.5890756968586897,0.7480466701259778,0.8001537687763938,0.6810672821121272,0.8849310764349648,0.9011134381360174,0.9085885119035337,0.6186447528676896,0.6349198966887447,0.5857424277650709,0.5080283940036285,0.45787034568217677,0.47521421940233477,0.5044751794124123,0.5848301953900493,0.5239488061509825,0.5013698750297614,0.503355814225888,0.4083704169042263,0.47344804475008756,0.5715443552224738,0.6033801259089185,0.7636960795176063,0.8485959358441992,1.0480355191369255,1.9196027228917,1.4168368998814138,1.345989460516614,1.7083586748156379,0.9799267092889904,0.8089616412313094,0.82539446092972,0.8017923133773697,0.737754761810612,0.6746271530697985,0.5705818383587248,0.5777203362792122,0.3780402752589601,0.36661589725927796,0.3562079155531212,0.40319411759451257,0.4334340723607831,0.5137591606880542,0.7050234418646495,0.5551362641406293,0.733124642581263,0.7298829949396705,0.7078645073804938,0.8613912288774686,1.0387866488541608,1.006780056233161,0.9562522830590674,0.9784789795489167,0.9254322269705559,0.7941849918436719,0.6513471019590793,0.7425437213371548,0.7297424255792216,1.6312774934686445,1.0675158179575688,1.6172292042391587,0.7195604257929715,0.6526780310360644,0.6663655797381818,0.6072905068509221,0.5955551109862461,0.5130568420142758,0.590525778923181,0.687505402302109,0.8415988987986783,0.5663165035839536,0.8879024959634645,0.8082611960706072,0.84442240476075,1.0985209228055581,0.5647722822875277,0.5993718263545926,0.5791585868858055,0.5520601035031344,0.6543631269837327,0.7552352178579177,0.741108209638117,0.5277036365335411,0.6258877134608762,0.8636751587766808,0.650913183220836,0.6427341137642616,0.8873488639437357,1.0201487440150196,0.8586046121012361,0.9387182658798304,1.1396908208985426,1.243485148223215,1.101814031797344,1.0978084343252577,0.8900449250173466,0.7838746896430538,0.6578369089271341,0.608624945394391,0.6788199272212568,0.6049405589784438,0.5144925413543898,0.5564069706105266,0.6218796675865379,0.5188630309014456,0.5525807882724506,0.8428790724890536,0.7198210645634018,0.7158646922622095,0.7824811627260085,1.0631028512905059,0.9710927570667707,0.9772741381548581,1.2410647496754448,1.475374416671368,1.0257086712738117,0.88648926146847,0.6934270513180246,0.6185973787906754,0.9437101342188631,0.9526504104777662,1.1530760559022064,1.5481230207053993,1.0302952320894407,0.6899447230321164,0.5098510901336298,0.4879629345320439,0.4736435630653476,0.3396282529452741,0.5372475227134967,0.8603675389151313,0.4065822847184386,0.5963019169600783,0.5659592790075031,0.435513796395971,0.7615710522689755,0.8165953353118949,0.8264884812630263,1.1045162635169987,1.7744035205860276,2.383423128495686],[0.9563968961500182,0.6128134638675291,0.7446660973109249,0.3527475351684013,0.3860156725441944,0.30081454104626676,0.28589308239573846,0.30804964328748163,0.3438552023075481,0.3444619717830237,0.36436290503732993,0.44493432788373805,0.3804965841025319,0.39605355548160814,0.5501721639203934,0.4570948832737243,0.5027002748121545,0.5561419152276121,0.68165577004865,0.6549488688650449,0.781431550093565,0.8601156176717313,0.9548765349726438,1.2213583571863986,0.84462573199433,0.8297455755193092,0.7323766151327162,0.5967933628854881,0.5096220457296713,0.45403773131306396,0.5483724586986388,0.48788472184283194,0.618365388338499,0.5670174399433923,0.4905570647793825,0.5166623973799779,0.48885538872466777,0.5722087043630368,0.5974491833217799,0.6182904254317888,0.9319543894860243,0.7345931086587285,0.7267792597037385,0.7241231203355342,1.0499369363025783,1.3432984932332692,1.3966602315791656,1.0474789055971572,1.9177687463083224,1.5799351342636794,1.4656320525464046,2.0767614859707257,1.7044438110314828,1.315038698164313,1.2380714229387273,1.0340774843740201,1.3026427300007128,0.8199491868807814,1.1511973181946555,1.0366747922885526,1.0108170983422613,0.9006526066795039,0.9135756370496291,1.091390051484276,1.0177809343686457,0.7348401450303903,0.9542319994793701,0.6939829204459647,0.881283890045875,0.7795158172851729,1.0073311704033467,1.2026555038987337,0.9175605298671495,1.0651832856428602,0.7139243735883625,1.2484591075481712,0.705458635882246,0.6557256578862862,0.6234439700969544,0.6659033641913069,0.5798095429124891,0.6470286387374247,1.0260611947856453,0.555310440162501,0.6374198818296947,0.5170667599785992,0.5676021243467818,0.5734304527395366,0.6015226574807664,0.5851051140696844,0.6089059137943416,0.821646575626659,0.7976636048808263,0.6597454957989316,0.5838793567470812,0.744566927853736,0.711717688834776,0.5883898670110284,0.5214092397811558,0.7666499018107733,0.4763530332803345,0.5279305715864737,0.41858740168477565,0.41763341761394096,0.4339714189257785,0.4232140801778074,0.4934234490090476,0.7022162893708016,0.6385238447400993,0.6114791859519775,0.3406942530735664,0.3686697354885736,0.31843960319566056,0.4243209621991579,0.4623367237878567,0.4953537426732278,0.6052009260502678,0.6784768849661461,0.760864656734795,0.6568996015466744,0.6700182785436691,0.5612569432685928,0.5691354362224699,0.39670990517927784,0.40326239553784893,0.5909909372948049,0.3344615945763753,0.48608930622002355,0.4686967561055578,0.5684617847646803,0.5958033223420582,0.5782047448509345,0.5286283134719907,0.544624320863858,0.5066096306097493,0.5072552655306015,0.6717102627534403,0.7424556646376335,1.2259122949120331,0.6106109873062734,2.0328666013412913,2.236967054340158,0.979811294547899,0.8631495381382932,0.6920502210779872,0.5346705492510853,0.5021733616658033,0.42012858212347326,0.3402940890161014,0.3766533741093548,0.4191938275683564,0.6170152704740995,0.7436299943797473,1.5265259608426558,1.2951999269314913,0.5791052524856687,0.4342866180225631,0.42496791596098765,0.38398695499322044,0.36682020024424267,0.45850704877079673,0.4708592352142711,0.4950913421613012,0.5242463410027994,0.683342093895297,0.7525033134160489,0.6492608473037595,0.8784709998578987,0.9403001995581625,0.8902759949416524,0.6069246616041577,0.5759099648578957,0.5404347097447336,0.476039478925292,0.4185104002822447,0.44982490433435396,0.4893906438027384,0.556522714530968,0.4760849861602392,0.4516769860184321,0.4694585496538892,0.3835973312381938,0.4426513774050044,0.560935940411487,0.5860876814768847,0.734417371262536,0.7987294413853288,1.012829148061706,1.9198874004610904,1.4323332136129556,1.2877830063324744,1.688086658684046,0.9986522338171052,0.8259888807276968,0.8467816457523638,0.8595918005200499,0.7812734521340802,0.7421432277169896,0.6555088162292744,0.6531506519907695,0.4406950704032037,0.36427769536482907,0.38370782696774663,0.4441290402231368,0.4133488177580014,0.46137870866284597,0.6920121212610606,0.53208821092151,0.6426822675623035,0.6660260293464134,0.6555108904606364,0.7832122538851333,0.9467057294946025,0.9071050884956593,0.9083459424592478,0.9568964426408227,0.8557737261836478,0.7925893612564574,0.6385692184433839,0.6945237239005692,0.7329484069278523,1.499627471332256,1.0696856088169844,1.5403255200935402,0.7018591428232089,0.6293916837058895,0.6798691209022127,0.6063065106948303,0.641158115028486,0.5695469556535505,0.628800243151034,0.7714464203645242,0.9165845189274362,0.6536539117923141,0.9255668608417026,0.9518729989414864,0.9241705332603727,1.1722646770547462,0.663414090232301,0.6533617967725781,0.6052403057133379,0.5625933661929001,0.6169305643828424,0.6845395779846175,0.6676200018423816,0.48508147985621775,0.5396361133706373,0.7498302867551729,0.5776792282747557,0.5438629631019727,0.7662215324709043,0.9160966707252663,0.7514206633339624,0.8235543416497924,1.020961563197452,1.1503220810272832,0.9767058101648736,0.9673199689383446,0.7866325349000118,0.6820239582594833,0.5755438827373897,0.5416893375118723,0.6145953617234088,0.5566697385274529,0.4958965081796964,0.5507507712002065,0.614334502353837,0.5557327332597535,0.6171848804464776,0.9089556225473482,0.7593474663564591,0.8019454542113613,0.8597540527066865,1.1230990102081324,1.014130809186885,1.0084886778508475,1.2880154948218359,1.4844547562721155,1.0792590696611875,0.9020711111114073,0.6978719224825046,0.5986849440672731,0.9251962511802544,0.994758933210699,1.2311735179293097,1.628392477116711,1.1087785121231022,0.7232759583073293,0.5822000091462353,0.5161643253133882,0.4803471865722586,0.32727513936470337,0.4642095630125311,0.8351141296403864,0.3594167283032229,0.5377485907393957,0.4993010260010962,0.39772400069541936,0.6971725543065692,0.7600535190940074,0.6588707171267767,1.0070800800252455,1.4957900480914825,2.0398174358767136],[1.2022941218233973,0.616598678475369,0.6515237548970044,0.31557944656253123,0.3723602204192212,0.3530417165868636,0.27551604332631074,0.30970567036917485,0.3021815076935185,0.2955549855642031,0.3507592906036342,0.45641422254785113,0.3455560922248431,0.37542187363786483,0.5008028770813631,0.4405251942855205,0.4984662358063499,0.6088722793550511,0.7310178619875243,0.6743933182056826,0.8134091939629102,0.8778888752000639,0.9520238362149761,1.1945284566178238,0.8325862383445217,0.840876562217642,0.7273091065652136,0.6002381219391247,0.5134704195767905,0.4352158628521771,0.5405839636511169,0.483918062287121,0.6051851710547721,0.55538359481019,0.4751445302318987,0.5114038531992099,0.4713915605177639,0.5484158616751575,0.569668590596588,0.5670636235086373,0.8928622246412635,0.7255316486176175,0.6959556313335792,0.7000917683243317,0.9515419696945722,1.2413632098693503,1.2224861715493989,1.0271480537693098,1.942178528349787,1.6308317762579343,1.5106081617729756,2.050260744882328,1.713844874069472,1.3018371049567936,1.2380200774986356,0.9876380352498751,1.2084921017320716,0.7775815046843678,1.147725995695468,0.915756644885376,0.9501748893406415,0.8907986945671472,0.9952813722770879,1.1140491364034222,0.9881201072629004,0.724608461870344,1.0050379931552536,0.7456734862907352,0.948218160807707,0.836857429319746,1.1360547401846952,1.4001832169982387,1.0389159200173497,1.1273835259521738,0.7893250768704085,1.273033073701834,0.7359632268490945,0.6749118883432922,0.6182529251594053,0.6605959092614384,0.5592084152006194,0.6215011691666426,1.023259892679776,0.512618644867127,0.5829046405390031,0.485449993469106,0.5386755280936983,0.5737038975680494,0.5878660637376122,0.596434046962377,0.6301046080516838,0.7742219632576651,0.7538897894287935,0.6123817137729066,0.5513689738981447,0.7129869442925602,0.648636813160893,0.5538522071526193,0.5254231669693309,0.8276956081742348,0.5144073894281382,0.5922066006599407,0.42756073658900096,0.4568526420187947,0.4285871969339251,0.39703788781298094,0.511172189377392,0.5014601286483856,0.461169688594145,0.6361066588541305,0.30061366151355934,0.31955354285990417,0.2841484080572911,0.3867960190877023,0.4521364109713763,0.4741638323083873,0.6210991734805712,0.65979353867292,0.7291869756481973,0.6871132417019745,0.6744175808281769,0.5879574707245145,0.5607935027837634,0.3704182434568747,0.3603187242046652,0.5161569662635976,0.30540769133638695,0.39728370295910836,0.3342383630617165,0.40864991336695267,0.4103112598932774,0.4103670291573022,0.37821501302033556,0.44020987384274507,0.3990616406477183,0.40326530205455396,0.7505635356271738,0.7631072187866219,1.4014596832039579,0.5846657921723869,2.1060115183299755,2.113881736993506,0.9328086898811008,0.8250761374622285,0.6284894573456893,0.5131728052106178,0.4681873704437857,0.40202555806576884,0.32062910869398964,0.38048646834948674,0.45942973523294345,0.6479277358606444,0.8517865390115171,1.6614909920974694,1.3346747903026357,0.6466349127733094,0.4618642779141811,0.4662716605968366,0.37653633258158214,0.36959514160609347,0.3922583815876238,0.43580393706850495,0.4471647713950416,0.47175705828572273,0.5801348750995597,0.6529729328975777,0.5494226381102085,0.7571341913750141,0.8872263021231428,0.856761220630751,0.5586563653552115,0.48489651267567774,0.46705934212472755,0.4043339743276345,0.35439893136305756,0.4009898688650993,0.4472369456215243,0.5538286885454551,0.4235046105033794,0.3943719667710058,0.40251696651660096,0.35672955890865693,0.39233343639519147,0.45195070097704454,0.474375130536092,0.6695408519462678,0.7554213814341114,0.9439486836290627,1.8345545628306184,1.282261840352793,1.3568072991904323,1.5108591937771214,0.9035822495050235,0.7151848479730077,0.688788246855136,0.6471739771247861,0.6435753547712363,0.5117415574186089,0.46687026029189005,0.46009159709860314,0.3929264959473196,0.4280515945999056,0.37813440849901253,0.4784201692048592,0.5669792400075886,0.6257177450972949,0.8061434699193243,0.6815474409709948,0.8766787145915013,0.848375417647163,0.8308429737058793,1.0133194011541882,1.169523888958761,1.095446960738448,1.0792736369743776,1.105122111326646,1.05741436493261,0.9209596803452204,0.7759350535254138,0.8994012937183311,0.8872644400953581,1.6916949539704662,1.235760722113137,1.7695008815399662,0.8591225301551239,0.7632075816041579,0.734396602239148,0.642775142005622,0.6999430314094338,0.5684297438089251,0.628559471049757,0.7063163205858948,0.8943513496393862,0.5596786751403481,0.7550628600491631,0.7961405330861766,0.8207379245397194,0.9998461979770713,0.5298432434562818,0.499308974728448,0.5088060613324672,0.5859992403404075,0.662046375181203,0.8464946462137468,0.7640753560768768,0.5663548234165928,0.7415117229794441,0.9452672016786073,0.7316780214807816,0.7576755607060184,1.0095922265573025,1.1279180909720181,0.9820227070375969,1.086988908285396,1.2819327883777079,1.369204772945347,1.2430762012324637,1.2562601534621791,1.0654684766499596,0.9650983676457348,0.8185611034533229,0.7848023801159435,0.8632545659189275,0.7654423235095467,0.6683460126555418,0.7105440145988315,0.7530464590857184,0.6259969532135434,0.6608290637077514,0.9393704324813934,0.7719945477414557,0.7882064135734911,0.8154354119438353,1.060651577846887,0.9641039182070368,0.9348580795601291,1.1226370304538889,1.3477464017519147,1.0544778218266648,0.9133924396751932,0.7538022837124367,0.6683740953671763,0.9649367073536798,0.9438706409413691,1.1123331776432037,1.4726197536089312,0.8751531506525629,0.6023627499064445,0.42983066616365107,0.6100302275413226,0.5235775912182513,0.39385641055254855,0.6269082620749977,0.8544708956048254,0.4580005054962893,0.6775765114467311,0.651529450890112,0.46452056487405513,0.7880145010038095,0.7992959739179839,0.6452778085493975,0.9096280131308216,1.4429629759933997,2.1425936179890304],[0.9883655643611391,0.73541050614459,0.7842450424844435,0.41631806968350726,0.4212556074139492,0.3512714915100254,0.3095021863102021,0.33542063430190416,0.36303377131568476,0.3511634864631309,0.38757774395463035,0.4447473605464412,0.37516684008250456,0.4111089872926511,0.5213527627774652,0.44442242939418514,0.4574495714355006,0.497796824169904,0.5967894363663564,0.5638810048318662,0.6580576629472789,0.7603688178133551,0.8434082941239576,1.0440917681873412,0.7733935113503557,0.7310899491685146,0.6308338267098588,0.5134262892431012,0.46412166013443956,0.41460835281487807,0.5197244007232044,0.47360629829978373,0.575934679611473,0.5264650163743818,0.44814415677734865,0.4590661599808431,0.4632815264511554,0.511127894363221,0.5146039304019523,0.5437584208945895,0.8696528812545354,0.6606917887864349,0.645587897150132,0.6562757695020125,0.9768152769411915,1.2122079166640511,1.3061346995750165,0.9126717896038781,1.7763746222234795,1.546568735625412,1.376073710010815,1.9763838209582534,1.6864413179967943,1.1708803892129775,1.2674927874830233,1.0726768813660985,1.2632839769374609,0.7980610146038745,1.267349911269761,1.015184807446232,0.9327074477525742,0.8009741661918421,0.9437816876401312,0.959520137715492,0.8931041064836073,0.6606496194941506,0.8519717784848482,0.6079762137832065,0.819248505883138,0.7381298966366159,0.999884704999772,1.2075858466967186,0.9163924925623914,1.0165106404387698,0.6936186341275166,1.2260323143618812,0.6203757961972859,0.5923725434214328,0.5433609068675087,0.565284970367146,0.5161598937981117,0.6086767246810082,0.9556362000089199,0.4757379616119885,0.5582065187901822,0.4606267613444934,0.5124078989324582,0.5642550230900165,0.5096743988362682,0.5416700263391797,0.5559988590840301,0.7540227766323169,0.7346552246458519,0.5951662756486904,0.5470842515889245,0.696932264960718,0.6600222073474312,0.5392072323767427,0.496693915833024,0.7513523657363954,0.49141055543508716,0.5535951590543414,0.4095482478444039,0.46300804177842214,0.4627993382284604,0.4495024645229573,0.551846731091732,0.5906175995933443,0.5550134864153319,0.6528946535121557,0.37353333956649015,0.3638677956590306,0.321963595003803,0.3795807746927674,0.41845151718429274,0.4343957163701386,0.5339913750764734,0.7373221007919804,0.6963461208374093,0.5801808410954895,0.5896030630100157,0.5042573968468551,0.49221844796960623,0.36295254646052255,0.3698945948905038,0.5179628546240984,0.36772744590065287,0.4080664988533796,0.3926222786906178,0.46545299276429103,0.48616887586781715,0.49526990376560137,0.43518780768985327,0.48499422198632314,0.44585276760851505,0.45515234498709506,0.7524110346635969,0.7423571721243747,1.3157556083869228,0.5925147110544925,1.864997137514554,2.2477327303735586,0.9331001757537588,0.7316941259419164,0.5794685169465786,0.46687938865544876,0.437540378986886,0.39520186989827893,0.33341444860101993,0.39248934257418755,0.4526163676067323,0.5991163254572894,0.7775470082176303,1.545565836484278,1.2437874038195604,0.5795474010570987,0.4405706146926884,0.4519371824505585,0.3745985744737659,0.3905392668529772,0.4128078351845413,0.42315578640844576,0.47078402768047045,0.4812288022731521,0.564618220854527,0.6680601370001084,0.5830637184019075,0.8151174007180907,0.9755784308184274,0.8718571156194875,0.5991455991900175,0.48603258782837055,0.46707274674062693,0.43717457292227974,0.3941013859827666,0.44476572052447966,0.461188722536439,0.5349936635038843,0.43976295524843356,0.39681615259998354,0.4419379831924229,0.39709786310680567,0.42140917548067985,0.4742817188111691,0.5089825491064686,0.701117759885686,0.7631855886384344,0.9640117981408765,1.8551420124065996,1.2979780800654632,1.3507396525264768,1.4126197286185525,0.9154085440969405,0.7560041505427909,0.7312382199804652,0.7264847096419353,0.6772598740276713,0.6054991360544164,0.5722608260430362,0.5689429886155585,0.48467429043142757,0.45466024031225866,0.4375918046060672,0.5354288603453953,0.5568162005616577,0.5943673749059512,0.8040873425835421,0.67835960884627,0.7955521174734447,0.8028985769093988,0.7991680854914897,0.940917031463093,1.0749167051069954,1.011279240851352,1.047854845990678,1.1025953866567393,0.9826380351422742,0.931699493724054,0.7822720662318339,0.8633635900341069,0.9019934546422488,1.5197392975190782,1.2407424494397967,1.6917904064918636,0.8594629402051034,0.7441229390907915,0.7403100212539993,0.6468979444695547,0.7408737827496102,0.6336897346994215,0.6536023007719673,0.8093198725150782,0.9842454590514439,0.660578918855209,0.8156415833771671,1.0024759072138165,0.9412180597986111,1.0854299278126704,0.6526413134954566,0.5743220284789046,0.535320093007343,0.5720409172006954,0.6278841675193354,0.7804796924223409,0.6974818885507711,0.5255031048859098,0.6448977530344432,0.805060159774703,0.6486109690636059,0.6556301077541811,0.8614469532407718,0.9898833521494036,0.8542148609033366,0.9404038077974641,1.1167965391446903,1.228243259979222,1.1020986309114313,1.110608003343457,0.9607827263994605,0.8619733848647146,0.7335541154560379,0.7177792537554775,0.8064900254157354,0.7238143244028797,0.6469284582441923,0.718771549098539,0.773895735920858,0.6749737597351111,0.741576948172984,1.0386136447887326,0.8473938522356558,0.8946806070309066,0.925068455669977,1.1563875780795942,1.0575735459333877,1.0115089850238748,1.1887582790650624,1.3513002240076875,1.1287970582408093,0.9528692817949302,0.7844497324517034,0.6899138415987115,0.934273181512199,0.9853117766291862,1.187810768188382,1.5393562044752724,0.9604491002057775,0.6471099906598814,0.5167380312896395,0.6577259372038392,0.5919266358131156,0.40476116947152296,0.5591626978451324,0.7839678923225916,0.44281400164128903,0.6506317541553344,0.5968643315706917,0.4532066249624486,0.7351907665273476,0.7638419505306091,0.5143403633801841,0.957321213509753,1.3200811137979531,1.7693317722063846],[1.0588225253500785,0.7453022923689383,0.725341622299696,0.34687915220720367,0.413439643495461,0.40068833125940967,0.33813809227300756,0.4063936118745644,0.41345100344398295,0.34833513859209403,0.40404150103167297,0.4969422892250598,0.37926793807485476,0.3921666953194031,0.4886287227242177,0.42267461241752974,0.41749138614322157,0.4678053747686047,0.5280930015037206,0.5048971862086036,0.5705236516930694,0.6760944409362526,0.7481382291791835,0.8891287421178897,0.6728519717363762,0.6181631592807126,0.5266422972695673,0.4330566013207835,0.3980060851557942,0.3880540542947439,0.4825394861294275,0.45409137038532355,0.5641112898382058,0.49955779426636954,0.4298978449858361,0.41952888526159493,0.4406186729441291,0.4133978065642937,0.4330604857296847,0.478601722527446,0.7730921339179371,0.5554443176365266,0.5260438024670608,0.5825492792517084,0.9153915530199374,1.1618084271234663,1.2027119943791595,0.843308400014471,1.7337868322290162,1.6271313897319182,1.3714789188211434,1.963213389628081,1.7477614874925367,1.197243014861453,1.2631695979066144,1.1004647414222901,1.2758632474685632,0.7549796009140195,1.3029889125346445,1.0131691672393444,0.9304179280621735,0.765077126185526,1.0060714308505898,0.8413037803551436,0.7693446352127136,0.6082469117895968,0.79044109100975,0.5807430402497933,0.7724089465793009,0.7200914717142451,1.02293921861834,1.2532184100559787,0.9291656075496192,0.9659390586423148,0.6636642169028228,1.1295121023763997,0.5772018419756748,0.5521169889320369,0.49988186653429423,0.5185133678588125,0.44136095086451677,0.5439728794754572,0.9428903701997712,0.43034534709891914,0.48578831318249227,0.44099803958424477,0.44184908533706097,0.5625516151149271,0.4637464752001788,0.5353529523465251,0.5232468751228291,0.6933311255979054,0.6598988659710723,0.555000085116055,0.5280808360563475,0.6506709879613805,0.6315905323495019,0.5366098830759751,0.5349992864048937,0.7788604659977917,0.537825518836443,0.6597753164566772,0.45143966794156953,0.5401076638090169,0.5033483869371401,0.45176703164797566,0.5871712704874612,0.43334324144932695,0.4216571462805284,0.6428056737332777,0.35888433147813903,0.34524240321956023,0.32064891311219756,0.33491817746093056,0.3792498140491692,0.36906898099335617,0.49534873339744445,0.8528992739055686,0.5892175338431089,0.49269824251880806,0.505072013682694,0.44824479314042437,0.43080533739695503,0.31519308698281356,0.32745026167707325,0.4233504024042182,0.3692557678621886,0.3398174481550968,0.36575673699595623,0.3920395205978896,0.34902228470940333,0.3828646600079611,0.3534281628235177,0.43192609365903795,0.41306843916710034,0.4049651000188057,0.851985136007642,0.74288337466562,1.3749745501281567,0.5558367437766094,1.78031608322598,2.13550641596987,0.8367249678668746,0.613848302792132,0.4570141560631615,0.3849035271073619,0.3660376819704776,0.37614264784866175,0.33245193375652443,0.42807327388498223,0.5070214125577045,0.6361981263461732,0.8675091615955896,1.5597127398120227,1.225084718336583,0.6433812400101597,0.48949069879415413,0.5225022946684494,0.3959894986692404,0.4377728843427713,0.38310895671336404,0.3721787462924478,0.4136597303055964,0.4233529978389467,0.4696065504982247,0.6035582079055544,0.572430190716464,0.8128016011046522,1.0415316636207346,0.8961218822779633,0.6397553718586806,0.4643941793964997,0.4363531010442822,0.37991621120673735,0.3470953933385878,0.4288007759719269,0.4645188631784727,0.5928201632189164,0.40381092930857915,0.3861315118021073,0.39271611956662333,0.39250226406265815,0.3986782610470418,0.41419502716841244,0.4459646739727355,0.6192699068918843,0.6998096381153867,0.8558755095770102,1.786117418029266,1.1737810727648916,1.3912708997839638,1.2199855401947648,0.8488099009515381,0.6805937251696019,0.5923137118814318,0.5446900815016379,0.5763887945369208,0.4447483059179668,0.4789892457329505,0.45903342894111643,0.523856961192845,0.56793215076698,0.47190801915368213,0.6194511258360221,0.7031429366174757,0.7264974413603218,0.9095145170347935,0.8180549568800638,0.9638173484406313,0.9374804722982072,0.9259976105975886,1.097190718710279,1.2111060211811335,1.1073934163960228,1.1531599169812154,1.2106341472004887,1.1169634247975195,1.0589651193286505,0.9159858120933215,1.0188808385678134,1.0608891258648507,1.6040032558806534,1.404112984939691,1.85881391790647,1.0202901711573615,0.9019628031781984,0.8625792464454485,0.7558645195904875,0.8761704477181871,0.7282603196734999,0.7456132201134118,0.8358536146902413,1.0158203937834258,0.6716053036244019,0.728463515626523,0.9829114379798377,0.9338404562162063,0.9780937926192003,0.6135218130113119,0.5562132807958795,0.5515980963471327,0.6565708267027272,0.7229253717781403,0.9357699806016816,0.8060402909016963,0.6469989349034193,0.8172307129773293,0.9402795647905394,0.789319070194142,0.825032975665635,1.0349928634373589,1.134487885186337,1.0203890813816483,1.1258243927573044,1.2774816701336262,1.359425242839027,1.2681029817962963,1.2882125928457209,1.1472205084754086,1.058986509919342,0.9191541385994729,0.9002559806103603,1.002610154659505,0.9044639027135438,0.8256805684334101,0.8868497485382953,0.918010851995886,0.7926925525542081,0.8538133030852791,1.0883283871419918,0.9040090084392195,0.9550640192441895,0.9462575061310222,1.1252069675373575,1.046613704474834,0.9913415349705453,1.0648645030509747,1.2218695389849612,1.1993618995946445,0.9730444816665135,0.8556725194415243,0.7447851772133536,0.9589639050145845,0.9343363796708,1.084621720677856,1.330281402471866,0.739454181331466,0.5290984863230241,0.42339756634534337,0.7997863074962409,0.611483489424077,0.45787386132897034,0.6711110275803712,0.7691227440637372,0.49842085096452776,0.7589122516598141,0.7312651642798415,0.5136519193939189,0.7626017264488851,0.7978637204943385,0.5799211216915774,1.0864406191564966,1.5040711257801054,1.7399801181723997],[1.393827040780262,0.6390681399728837,0.5571318895261198,0.3659850532807741,0.4499106742073904,0.3584868928816314,0.2682698005426832,0.32251566888803923,0.33634630732155174,0.3390971453119829,0.4028026065893556,0.45547416807190794,0.37437381756475574,0.38480855736318986,0.48648908297819793,0.4478951665162502,0.45529552122476485,0.5800325245179249,0.6342159258365202,0.5975315520857097,0.6959528369775455,0.7716137885845651,0.8199554180565922,1.0038777464793154,0.692357105400253,0.6945915095763807,0.5884045093608758,0.5170191611406894,0.45196773773524895,0.40826426515852704,0.5555195401470456,0.49778565376421935,0.5908049696181016,0.565798044314683,0.4717341095029157,0.4898578897441622,0.4447109178071733,0.45243604467661314,0.44648490348795816,0.43505960479114275,0.801810111607242,0.5723883443666256,0.5310220680358554,0.5806726601826674,0.7985889932410543,1.1280328817493543,1.0686349457446247,0.9341683359877246,1.9131941599795539,1.7677860289327396,1.5439634239865596,2.0301910285349503,1.7816180637173928,1.1824453714876562,1.256014674685262,1.0131033868423802,1.1304714788538992,0.685755994371842,1.2303012604748143,0.8572863354379577,0.8229893841389142,0.802775641700077,1.0477413919885301,0.9987160663596663,0.8294092700874524,0.6300288220054538,0.9345785413462855,0.7118203598038645,0.8977590454854247,0.8553909492382313,1.1627372946888257,1.438872563972533,1.0984009739322045,1.0933481312984614,0.8161459259314299,1.2838164546721686,0.7070173926755191,0.6596759610665187,0.5955178119201038,0.6066813094828315,0.5073743734666715,0.5550783950347531,0.9950606085980334,0.47902732844859197,0.46467432021250393,0.4445882198972532,0.4663504731447208,0.5403224985684315,0.5395730035073196,0.6179507473438981,0.6442584881852075,0.7795131079740996,0.713484935690784,0.6340038797659743,0.5849000972135343,0.7184172689070333,0.6715050053997135,0.5471167114235986,0.5223816711931056,0.782471338615383,0.4992466845876413,0.617318823518442,0.42851833113939347,0.4895401141989078,0.48418563019002653,0.4369977792744482,0.626350536635729,0.43758873976827944,0.43778158620093144,0.6729837021189383,0.36882025193806023,0.3421695039283694,0.29661099941447533,0.36272959799694376,0.40702293636429837,0.4264007820750241,0.5759965708972719,0.7167974686306003,0.6231061990985712,0.6253374946094377,0.6015335007958481,0.5388790018853465,0.48222336342824307,0.368104535102218,0.3663700906885982,0.4861607666939428,0.34986486333886174,0.3569427028372527,0.35771621609038035,0.41041797743852526,0.3748307644065065,0.39772290826695966,0.3613772313222303,0.4817226036880248,0.42210784438939636,0.401960773747347,0.8395326676663812,0.785530047559652,1.449855558126608,0.625994992550439,1.9835231913613045,2.0873828370723855,0.8556634660306208,0.7176315570023903,0.5174825987753654,0.4374924530574175,0.4141967751831586,0.3881155967745617,0.31592013079436804,0.37344117718288483,0.4661793919308224,0.5727482525382486,0.8895415360605091,1.6218842116368384,1.1604908714536808,0.6083842146722807,0.43499544212917235,0.4613055940121116,0.3551251241453092,0.39304619918398265,0.3633705287340005,0.3849064489396551,0.3676475783489965,0.3763613935494727,0.43754186107834964,0.574931294678929,0.4987070635097941,0.7177389592347744,0.9519498935826899,0.8446319113399771,0.5842437478118755,0.43871603492485495,0.3971347235244346,0.3630113337397444,0.3289598126328883,0.3903557918079083,0.4215014197305924,0.5589576195294416,0.3910004428178162,0.3822771369393753,0.36769367229302724,0.37538139641718016,0.3914848305354187,0.3955396246874536,0.4180500959219198,0.5784515320876858,0.6511785736556029,0.7839283676284369,1.7240037287963923,1.1186227283659018,1.3822295540835228,1.173377887186574,0.7894723098188997,0.6270221709856342,0.5548274064064246,0.509797008174672,0.6046809442368756,0.456423045032213,0.49758218318490044,0.4553155311815241,0.5885387930505055,0.6326467532228325,0.5065261825019257,0.6834647164595875,0.7974954759933294,0.7858878122408606,0.9829002348144035,0.9237585850174258,1.0854219351631595,1.007939032502733,1.0311758940102882,1.244666958655306,1.3192818873820065,1.2120898494210222,1.2747498926086238,1.309326956616678,1.314721290827365,1.221221271997916,1.0647749155093156,1.211468151051072,1.2426191987266373,1.842389194292528,1.5923758588963601,2.0462163970562797,1.1607014837668428,1.0577868574849367,0.9675889388055735,0.8778800144825973,0.9945658609393713,0.8189500811766591,0.8391046482268336,0.8977963530272942,1.0928461068574788,0.7432052150185844,0.7665847396387968,0.9839031048084725,0.9742727869438005,0.9458622539687644,0.6502235285240495,0.5734917721943907,0.6217603177662099,0.7465091564045228,0.7856288134488697,1.0781497995364584,0.8542461169152792,0.7126492699210603,0.9346699264459903,1.0372861070355226,0.845463813997907,0.9278897097264726,1.1600658466792486,1.227046284832925,1.1134134985278639,1.2751495491374543,1.4297703647271214,1.4700281102238502,1.431862428641412,1.4803799784165272,1.3293816050770277,1.2365771693239496,1.0689836609778824,1.070935563344211,1.1823661896403872,1.0480409557379584,0.9623560671594309,1.0360639036969945,1.0521637165242326,0.8938561649513248,0.9635864842015954,1.1700454960988398,0.9996357288838229,1.0065453865493343,1.0219862571757061,1.143371340690356,1.0944762356594409,1.0280064147443555,1.090632305039739,1.2300373293195457,1.3252075519009061,1.0513839247667993,0.9472095489795808,0.7944595133074739,1.051561123482837,0.9765015869524794,1.0807690522547058,1.2998515018483365,0.730790389088191,0.5802762676402431,0.44581326151240924,0.7609012451669501,0.520081163366515,0.45059601704631663,0.6774597017939281,0.7952772238574591,0.4607933818181289,0.688884164085687,0.6922501807763799,0.47616444827824084,0.6682143096154542,0.8005304012862541,0.5616678140251877,1.0481863083952554,1.6917549846209607,2.0598873629276717],[1.4555648845847855,0.648335202925796,0.5567233449727558,0.30819725023460587,0.41949649676424705,0.33661114291612937,0.2716504737542446,0.347943017815977,0.3672698714170128,0.35397432259027095,0.41238799353272526,0.508773522571202,0.38388434978962355,0.3863251016404423,0.48037077524059674,0.44034670595476083,0.42714778172738593,0.5087744514804742,0.5079489339933604,0.4945488222998643,0.5358578795732291,0.6260204273932141,0.6789503673234089,0.7820666544261388,0.6260367039069145,0.5591187746576507,0.4624704331389856,0.4249577632480082,0.398573712330535,0.3855468839312212,0.521647796843711,0.4881384866999862,0.561313404334567,0.5356047735480045,0.4648358020790116,0.45072856048167004,0.45295725317425356,0.40990907566600115,0.4018565138237549,0.4331606165729811,0.7432088738643919,0.4945770570072792,0.454933007082394,0.5423523461264734,0.8320726383751014,1.1291326450291181,1.0824567344797091,0.8317083726259136,1.766597041343471,1.7783352773467576,1.4521912584268082,1.9581867107472084,1.7691150296733609,1.1553828934390964,1.267982209306678,1.085573025555483,1.164576384744945,0.6828810221049023,1.361365856438322,0.9187288982197829,0.8158971495225694,0.7527648130150076,1.1532725477443457,0.8195709078972808,0.6425570983069963,0.5819567699029646,0.7899342113008239,0.6052373873220053,0.7877143447102152,0.7696132592118123,1.0929510354012286,1.3586802230341204,1.0202874196345018,0.977680835384776,0.7229043487892436,1.1557709675877064,0.5787338613099197,0.5739246799912957,0.5194695242272828,0.5288809580751879,0.46101318341724906,0.5555026176625314,0.9480941594534459,0.4771557471758893,0.46086570918895725,0.448615351981052,0.44939426995348225,0.5757019093666724,0.46245279208175755,0.595898621135565,0.5732992712225241,0.7002517005475615,0.6647434296819902,0.6090012813821879,0.5733163574608356,0.6979947871947859,0.6839792370157267,0.5533787121973548,0.5437004218702726,0.7899278855869653,0.530805648750153,0.6575438131199479,0.47119475592098825,0.5316792941048466,0.5445142837428467,0.49481927576143914,0.7117669264675025,0.41986091881002535,0.432197066657597,0.7054373176615875,0.41117003550960135,0.35947757481153586,0.30182644796832975,0.312792678167744,0.35842298422121466,0.3550500379718347,0.5019766706838655,0.9699246838088852,0.5462649993773036,0.5020127076879499,0.5039906597212082,0.4464876585197499,0.42426526066148657,0.3184704851676231,0.3219686209612566,0.3559560386407179,0.3763667921537385,0.3407374499515682,0.44824671608570155,0.48916179381197433,0.4204828955659198,0.43152205899601603,0.43715171273048103,0.5308949551297379,0.5245785122342201,0.47326385941680404,1.0220895873888498,0.8327348558098855,1.5560419551571705,0.6266159036697593,1.7483250573637172,1.9219572529154052,0.7474700815289629,0.5610158020353049,0.4031084221152103,0.37575216194121985,0.35497358127699313,0.3605680213294042,0.32598885372036684,0.3805407497592963,0.48317773252722224,0.5113631835247017,0.7755131994847287,1.4523637956894166,1.0535031068535132,0.5882154719270838,0.46559693800819707,0.48261962039068634,0.39146952253339634,0.43595383539843147,0.381184890850202,0.3707132598340561,0.4319143492745305,0.40747304869784656,0.4992012973268937,0.6667335612920963,0.6571627377333431,0.905407700110969,1.1721683882708813,1.0215766599372016,0.7807453171667049,0.5463034357543237,0.4793767627476123,0.41889937750448064,0.3735329347992558,0.43493073513915886,0.4674545736996622,0.6265720608308001,0.42202455988224347,0.43088676248659796,0.4310917171930072,0.44572952783528325,0.4740912015372783,0.4602281998468,0.45249377150009495,0.5812281308978995,0.637926409317113,0.7539658485316094,1.6524193775094451,0.9673435210905622,1.4918541796357323,0.9981945031435772,0.8057117536644535,0.6860296028916764,0.5611558694987011,0.518127183480436,0.6772361967713261,0.5365888015334281,0.5900846048480656,0.5155790945003443,0.7164404601441251,0.7338668389284159,0.5943294618222138,0.8056178675341895,0.8964048769877981,0.8517384447191713,1.065789811875289,1.020984544317016,1.1191217244287703,1.0579945895376064,1.1037935631491218,1.277169029152721,1.3101478767465182,1.2452435650599587,1.307531433394002,1.3793939983761616,1.3414638821902116,1.3329266785325358,1.1675649175188574,1.2834007230771183,1.3287497718135415,1.8619386619587392,1.6692436088505003,2.0862496323027195,1.246615168935223,1.1444440529093625,1.04786522501838,0.9966424081346653,1.123190633276656,0.9598360515462073,0.9723171089384293,1.0394971774850523,1.2194504718367314,0.8954976849954388,0.8905268516653002,1.1084499862205894,1.087118296024627,0.9988507796720845,0.7668752549421711,0.680473475038538,0.7318636495192969,0.8450901413462693,0.8556414692121548,1.1171580719203593,0.8682170049046227,0.7712223269144284,0.9590900540582868,1.018414127849634,0.8618148215521907,0.9458837356270704,1.10165688486374,1.1429068727864367,1.078279113351333,1.2309583367263985,1.329504464361563,1.3732238044181888,1.3822181948619956,1.4178831670307859,1.3272163463320512,1.245233742828107,1.107176447829376,1.1266652640071648,1.231152990781394,1.126383415140675,1.0670463978082987,1.1444816429410316,1.1584055500556882,1.032300596222261,1.1042925435957878,1.2786644671474368,1.1374589154777686,1.1474909029968623,1.1585675206796253,1.23977365283856,1.210038823040916,1.1159290778867985,1.1316874637249146,1.2087355719897994,1.4046154120418635,1.1128818194813679,1.0498205826310723,0.8723665654866423,1.0771045243516295,0.9691677347650918,1.028920705059168,1.1421796381056952,0.7099629419173548,0.4947028255615838,0.5101480648765871,0.9183737662596303,0.5443607211574957,0.4908678479630451,0.6777115047354251,0.7203466035162882,0.5001022531407353,0.7001988371605001,0.7239406080762358,0.5006508654008828,0.6117779448258877,0.8234023963717654,0.6865911210610265,1.0892426150293224,1.8601667395797181,1.8890053812453376],[1.4084001056663458,0.7329876487961325,0.653088147860315,0.35769678314538084,0.49499307144547444,0.3875949315349435,0.3045276119144776,0.3699305371510101,0.3642527460688973,0.3514115959956631,0.41248161751475687,0.49300716416036644,0.3865476041693273,0.393592659074998,0.4967410005678011,0.4592091122286694,0.436987317552446,0.5614695277569226,0.5825808991535207,0.5512819620775589,0.6198566354167129,0.709908216424514,0.75028251917199,0.8895208398080701,0.6513069366428005,0.6241717531615875,0.5214349465371821,0.46206896091471583,0.4309959576293534,0.39789294217505755,0.5596809431763418,0.4996601857102777,0.5773621961638882,0.5657894490102554,0.47439531675008073,0.4772001290214365,0.43690530364998764,0.4272951531632345,0.41674222678830714,0.4370834044043808,0.7446301044339564,0.5499646804335218,0.4973892185334334,0.5705374417060503,0.8200102877279538,1.1347347642347718,1.090054142969919,0.8842217960967225,1.8299333041621595,1.7860914879340917,1.5034324350529142,1.9807921906266883,1.7822488814604427,1.1321887835309983,1.2490234278438388,1.040561803046587,1.1269844456667724,0.6648529524566649,1.2848879759734817,0.838588165992647,0.7916714993836201,0.7562893597834829,1.0589499859643137,0.9387019360837827,0.7612412260457974,0.557610733376984,0.8786366257204024,0.6777680361325855,0.8725008617950044,0.8374033537312244,1.1517756411609974,1.445931139362731,1.0932967774355773,1.087673286535753,0.804858841309639,1.2634755129962558,0.6691671232197404,0.641760776414042,0.5663413198342196,0.5879468023200046,0.4721033140780043,0.5493729442335887,0.9622827227842239,0.4943156295970441,0.46299120984694536,0.4419656800607219,0.4407755817068461,0.5508175070066853,0.5138208806834067,0.6054701584710728,0.6363100876673715,0.7649787236599962,0.7217100983638238,0.6478663808666855,0.6003279433380316,0.7336011257373335,0.7040233544020191,0.5701573314602689,0.5517839070800725,0.7714381099253969,0.5206671920251417,0.6636670297170367,0.47060442764802973,0.5407911384283157,0.5440788654548482,0.5001808865710231,0.7258095855159469,0.4629895926194537,0.48474516764097636,0.6945009290128402,0.4214885535655878,0.3656706080648302,0.32485239991053083,0.3487131797837988,0.3873240059436709,0.38078105508221954,0.5380252298694722,0.8226498226776465,0.5657523059606718,0.558439142475656,0.5386311737183646,0.474955201543139,0.42907041860155115,0.32331690681236264,0.351277816443671,0.42453984396620986,0.3857732534878215,0.36522178956624163,0.44578705224034637,0.4834707007675233,0.4362773018207305,0.456234743649253,0.4419991775423524,0.540244336541865,0.5108072363444475,0.46840404570219857,0.9755282330505479,0.8337216422123693,1.5021616070040285,0.6535958988145338,1.835992801825664,2.057516955459288,0.818325670463455,0.6306306217526206,0.43845850258133207,0.3993744662315781,0.3770574917269022,0.36888382761320454,0.3426917131754705,0.40296056207631126,0.4907023059636705,0.5410196188452088,0.8672923543183413,1.4782586755238198,1.0336970306237387,0.5835009812281015,0.4601143684069037,0.48168186796907914,0.3842846277794228,0.4325268116662313,0.3670125179616885,0.3670983282638324,0.42213932584277863,0.4021851600476086,0.4953463740361757,0.6467702813820112,0.6226666759240771,0.8722465917811201,1.1280174624174126,0.968281486941797,0.7345692127002708,0.5240232924771663,0.4650999231651996,0.39868742664918877,0.3699181100942674,0.4272389164039939,0.446477786160446,0.6061096556122378,0.41450148225747513,0.41389687083270316,0.4162436108152409,0.4303801948352205,0.46379216263559536,0.4626578698861337,0.4645348022695614,0.5972841385108348,0.6594880580589442,0.771359996547967,1.6786918094152115,1.0300731577140065,1.4487406995756509,1.029375716294795,0.8008236516653167,0.6782175971373934,0.574707285926151,0.5449832437033653,0.6696327479239444,0.549185430244932,0.6117021745187405,0.5452000148791312,0.7706340774011853,0.790024644684809,0.6284578792934862,0.8505195266916291,0.9677222437203198,0.9017794480135221,1.0880944471267722,1.0896075779606724,1.2155948513389008,1.1088977334656467,1.1751519530150898,1.3995939072699557,1.3983918043185226,1.2717995218990055,1.4282766128372544,1.4744005805369278,1.5009116728626233,1.470886060424995,1.2771804723705962,1.4368662484060049,1.494074596057549,1.9623810713212841,1.8325226906340044,2.1937838112175507,1.3687454153325047,1.2666406458096904,1.1554996930090764,1.1002837116569548,1.2324086977083004,1.0381644293378844,1.0365964839602504,1.1163461754958075,1.2776868404676178,0.9445849568827576,0.9098223027780092,1.1890727651202906,1.1433166123660887,1.0014410832101273,0.8089351963373098,0.7201654810141194,0.7804657156421146,0.9135421174269144,0.9204112172639946,1.2229470091853734,0.9410036905698363,0.8297805770254344,1.0643385904827558,1.0977419375124662,0.9217047419690901,1.0336758859891504,1.2153988636987787,1.2421675292988252,1.1708287600129885,1.3688611197387899,1.476018649137513,1.4794687773333288,1.5312235424372624,1.6079875677174031,1.491255210587876,1.4062572397636846,1.230399621567346,1.2596133004903483,1.392893362610329,1.2373094761415224,1.1713870372649862,1.2736624808229509,1.2778978826820881,1.1142330438787431,1.2183284057021262,1.3873284542196278,1.2298243724024005,1.231877714147458,1.2514967999494588,1.3402333569771625,1.3009059333195248,1.1934036872409366,1.215803050876071,1.2419157797321505,1.5456663356771945,1.1682983966410343,1.1151712771449023,0.9121264017076931,1.06106147064478,0.9817425362035008,1.0604892967979083,1.1597053408146936,0.7592854218941734,0.5252509673665317,0.5225507916852203,0.8861469600108604,0.5616499439880461,0.5230441748188839,0.7345679001120317,0.7526719220180235,0.5141820313022895,0.7324147853533514,0.7495438908621068,0.5048746616794241,0.6431675786885762,0.8204906177780136,0.8711359542452854,1.4065539963027105,2.395725607288691,2.3494975344733207],[1.1704859734754889,0.7232137552298923,0.6856493974288874,0.3906731147451468,0.40739270302111896,0.44115140906413286,0.41761965427418174,0.49898216747637014,0.44983335024595167,0.4270899662186585,0.4705022959565195,0.5650782109700427,0.46900961790313717,0.4481783913957568,0.5287743956961697,0.4893938558971802,0.47260315106463285,0.4899731131104507,0.5098109965122201,0.5093401503485583,0.5396705250835773,0.6233199517612125,0.7167407083401127,0.8061519894175411,0.6996362211656777,0.6003935108126968,0.5151675282154881,0.4653398566763073,0.4435399334665196,0.4634934519478052,0.5492400061940462,0.5493381942497197,0.6190272204853536,0.5709127581870976,0.5302065719524419,0.49507887663899536,0.5318422859781186,0.45813785114899763,0.4803472053669582,0.5531192359533906,0.803109104414538,0.5505828641591204,0.5301915809939859,0.608504797657585,0.9491102318485074,1.132510163086262,1.178129212164954,0.7743774639882507,1.5950865866333022,1.665066999231626,1.3276129542440738,1.9133486792971,1.7962774636295953,1.2524517959853305,1.3852648175800102,1.2210163860087218,1.3036527323546891,0.8235346920577716,1.4836314337637684,1.0736823884798234,0.923198314062128,0.8147630460441078,1.2211029396766753,0.8072083497843687,0.620567919085015,0.6597724153194306,0.7734497918801547,0.5856449373294664,0.7813296269167531,0.743287408607797,1.0525109873152045,1.310446299948146,0.9775484346947452,0.9371970860671791,0.6823673754832664,1.142971758573693,0.5589450646835559,0.5844419429827739,0.5451738358492788,0.5259241761665007,0.5092675604680866,0.6345736824321981,0.9510270032322928,0.5648926808321914,0.5627771227249877,0.5408625656678291,0.5274961908105722,0.660632986580623,0.48500732979733224,0.6382230782398791,0.5777139036567951,0.7301302348867215,0.6913786908229682,0.6381194697608861,0.6018656114277687,0.7251714309007485,0.7082207026929671,0.6075523986487584,0.610096073058329,0.868946582273748,0.6321283857773166,0.7773177052314151,0.5979922432938402,0.7071418546960714,0.731609553246031,0.6908619315808018,0.8669399049472839,0.6133031617226328,0.6314527243869464,0.8557969011491271,0.6151249984638661,0.5086551806717414,0.43405219471949136,0.3932426041340515,0.4132910570483934,0.431442674660843,0.5130126782886161,1.1441699868341577,0.6101706087895286,0.5052204262050101,0.5315490242555261,0.48038214284309305,0.5331775784493669,0.410245799704969,0.39253135300311887,0.44450921972870916,0.5231151167858332,0.5016761913118442,0.6728917050252603,0.6626468360670322,0.592625556916005,0.6078896424735435,0.5987455385203175,0.6645733542175617,0.6755611980635726,0.6000870632240057,1.121628125688488,0.8101195512306498,1.4372547629403385,0.6414835610031754,1.578534087023785,1.9990215141640977,0.7864774550379339,0.5571749701215803,0.4713738133039323,0.4476256101669102,0.44162854236188476,0.45406163947873035,0.4458957009058228,0.5012140151463037,0.6220979592793967,0.6236137698205051,0.8814262957147861,1.4851794446153188,1.1237071748146936,0.7235892201697939,0.5859389905180707,0.6268328352758963,0.5160093687682077,0.5866727514371303,0.5075783900733261,0.46200935963434003,0.5669479330596435,0.549486362541975,0.6440321237176633,0.8198770067841437,0.8562569328825375,1.1434077862679588,1.4001407282916203,1.1869794699031646,0.9541040841439602,0.7079761079125725,0.6231779267065184,0.5569614221586645,0.5047198250421957,0.5754580735089003,0.5606437416235317,0.7476884891273362,0.5393287566098384,0.5591803444686352,0.5765609982786437,0.6099484850833785,0.6301906957405139,0.6126356639851993,0.6013702312169601,0.6981419924721861,0.7354803288335966,0.8819656982092525,1.7635234092256864,1.0272539540163084,1.578649234746532,1.0006132718227199,0.9252682423865236,0.8308221296939922,0.6528519639560312,0.6555732044316905,0.7526930782327451,0.7454685627363926,0.8035696067426438,0.733733755748836,0.9662931768110343,0.9559011650764787,0.8064485946662324,1.0294874807930436,1.1113423540703544,1.0168260468819923,1.2274498861976888,1.22845199933661,1.275488030764947,1.185411008809071,1.2686152819638088,1.4362381734607987,1.3715795025930213,1.2675947815705058,1.487186530440408,1.6010434155279971,1.5316923768490383,1.657621794749592,1.4233388753297063,1.5352318680695838,1.6320777214466906,1.9566169838393201,1.9516560554524283,2.184335379527815,1.501592915954678,1.4136744192594535,1.306595366834943,1.2760837883716964,1.448628077061258,1.2421645493980689,1.2115342984348683,1.3367070717932708,1.4578906079685854,1.1526379447847217,1.1139377865647815,1.4457598280383293,1.3741653057425418,1.1646960792408065,1.0153492990246056,0.9055588835157358,0.964459304798989,1.066832927609957,1.0626016873748985,1.3256726658517488,1.050851322680582,0.9753244089136484,1.1607992447980071,1.1601501041693218,1.032283720137645,1.121433706367001,1.233854813875318,1.2462305842463959,1.1925449078138597,1.3666285925998476,1.4183576631295614,1.412447357746877,1.4896484458592127,1.5698408886294515,1.5137068539332201,1.4518822938893778,1.3127839618442827,1.3609143009963531,1.4925490141396323,1.3489208296284323,1.3133356531338405,1.4226230589967597,1.4278898352182499,1.3067728039499809,1.4172610057097033,1.5780625709963991,1.4378601805753857,1.458768355440776,1.4736591722595058,1.5391902522496914,1.5271879348241792,1.4269858332389078,1.448875899743273,1.423251921049425,1.786549426497999,1.3354207270238523,1.3085984977526677,1.0912796062596333,1.090725984446021,1.0249469519290064,1.1114883819332746,1.0961465827636332,0.9198335374914149,0.5838287174885688,0.7052874714764171,1.1047116093662384,0.7435589158698563,0.7085025531273048,0.8528747284966276,0.8208823028472738,0.7033531191941095,0.88286187649771,0.928558798439953,0.656283609181914,0.6516590018332127,1.0172957560110272,0.963525495184115,1.2854774030339866,2.4321632213690947,2.30583210286214],[1.0947596367615904,0.735742374273524,0.8700306676643588,0.5377100207646743,0.5779932511210449,0.48512775554136545,0.4631306850952835,0.5306746112845065,0.5326655348668815,0.48663882952296006,0.5366197204670481,0.6557277578426406,0.5104251985449694,0.4968521377398677,0.5905366824365229,0.5606842508457978,0.5050722709279433,0.5288717277910269,0.49613059282410255,0.5303107087248026,0.5102149949257074,0.64142671271295,0.6677134579668319,0.7396424958972128,0.7182596564727336,0.5735017728302744,0.5187316491115678,0.4879927340068187,0.4634939151756261,0.5076323092482641,0.5927281908557848,0.6169602556349214,0.6836068041537678,0.6329736702917599,0.5851322577980904,0.5449584935671875,0.5891166960136057,0.5241271418631779,0.5351953960282445,0.631992251903551,0.8852489329311741,0.5979478467365008,0.5962270095196006,0.7225873728807233,1.0121186001620466,1.261991688987481,1.2566648602585475,0.8476715955059074,1.671759820319175,1.8684094285450816,1.4300691096990124,1.9178109752636077,1.8442873992011095,1.3214094096920372,1.4547726989398633,1.2997190131472138,1.2704626009240207,0.8624395436733691,1.5698461758513969,1.1272573363744336,0.9023562663170782,0.8157290506445976,1.251400011188433,0.7667243869483876,0.6170340169159146,0.6715047124458033,0.7548996295932198,0.5972197342402902,0.7487576233611271,0.7777417891073863,1.072157720667266,1.3056348858830922,1.018385990219367,0.9371909674036555,0.7081596857962636,1.094810794264604,0.5626344384311153,0.6151548870566061,0.5944443554582816,0.5843486121712139,0.607204145649545,0.7185237649119296,1.0110032560861835,0.6468264366421859,0.6132966208891643,0.6208281166448124,0.6017377072526211,0.728805464998593,0.5328975711063012,0.6934397503422938,0.6143613158066968,0.7282374558647008,0.7350891094386232,0.7246242889246942,0.6851944817743377,0.7908286349547731,0.7751374027591239,0.6882465208839149,0.7033163296916947,0.9017186782207389,0.6768459759748152,0.7843176506389014,0.6355895508316538,0.7111599224491472,0.7680931506123486,0.7383954243028069,0.944041851443292,0.7158257539665132,0.7217223917801193,0.8761723499943329,0.6732489120820805,0.5772921675207664,0.4827479708234998,0.4647821214225335,0.4769474461600817,0.44657583642767185,0.5507118852807299,1.270584189769274,0.566443851174327,0.4969875392340769,0.5172166730593174,0.4977626398314689,0.5033247843373635,0.4365550393481007,0.4540447708674453,0.49749688531645364,0.5805734784000967,0.6110765782569534,0.7984578085985051,0.7690105495385701,0.7705483082206247,0.7891130718548266,0.7818508793638994,0.7576048049171932,0.8471011762976979,0.741152959480407,1.2590964178661344,0.8938842999196097,1.5307742910708255,0.696838174336194,1.4376488501745053,1.7762763941098219,0.696518557485357,0.5354591624121116,0.5166002071383594,0.5054621360122369,0.49787460164157793,0.5033281512654314,0.4994600720732268,0.5235776802397366,0.63703120655743,0.5980212919140455,0.8002951573513436,1.3475225566777407,1.0321009026549794,0.6976401272211777,0.6180359432870324,0.6439845218872089,0.5797625602496839,0.6054139603397534,0.5642172235993841,0.5387223714257489,0.643347143654282,0.6283390264513099,0.7744826547806966,0.9777813751408592,1.0151788202281076,1.303099321356329,1.5406895195282535,1.3181847932311475,1.1121356993520868,0.862293051659179,0.734944959997422,0.6466067210352753,0.5812073062405793,0.6408997150733549,0.6252019950989125,0.8340431286397211,0.6119527011003683,0.6434301958955906,0.6706907019579537,0.6897687066122556,0.7489454070348042,0.7727184833081886,0.7414484531589494,0.7742733747900706,0.7944897484238657,0.8863470297220566,1.6891941278531593,0.9878449740954828,1.6185946272023681,1.0040129407411729,1.0312987682425232,0.9845046799860793,0.8539763485483232,0.8436086608448587,0.9150984545203034,0.9386462218643552,0.9845551221620269,0.8508343057272179,1.0478544994431176,0.9634883893150955,0.8532206435183975,1.1123331371589718,1.1155564516424228,0.975294946191611,1.3090006258310505,1.2677952307832199,1.1526933430353314,1.10698310950752,1.2610933767827754,1.3167023398766748,1.1432662513834047,1.1914253810615623,1.4286716302932163,1.6276676046361123,1.4397451094983171,1.7737534288232526,1.4884526233592232,1.507602744289573,1.6284155443328563,1.8872485356083502,1.9000647544876257,2.0447617434538214,1.4497250311972019,1.3630553477717098,1.2906547791589553,1.2899097296318984,1.4931784099529655,1.3132090176782492,1.2877415460806159,1.4460220856234733,1.5914403672557207,1.3042346520129222,1.28583389004874,1.6180183864206146,1.5682731312772402,1.32012116398779,1.1632730297770488,1.013156912615791,1.0563484568236745,1.0926705229573854,1.0456171786100832,1.233624014599471,0.9687183600426429,0.96002740392466,1.0334839351681955,0.9935083548500528,0.9146095900176119,0.9898425424893269,1.0053008806532817,1.0035663784911586,0.9782758790541762,1.128974292377986,1.1127062360861142,1.1196957974349757,1.2225337750166434,1.2897044824148851,1.3285262316272803,1.2799619721798243,1.1925857079004323,1.268742370980398,1.3861159399802023,1.3050742488947784,1.3043436887934228,1.4286671350140971,1.453346571377569,1.39795545008823,1.495341470200287,1.6515271841461974,1.5889000268433475,1.6274632771684885,1.6294976702181443,1.6821792809311513,1.7152458127141632,1.6294685413804464,1.631504765913548,1.576800098444693,1.9133769712628808,1.491511580533373,1.45955836706814,1.1953994234656242,1.241471033651168,1.1812070397653296,1.2550194865947994,1.1319034065994873,1.1430283980035874,0.7376204082947251,0.8594378123269663,1.158576131674125,0.7812888335965144,0.7340873597594358,0.7621875800992196,0.7576382575292313,0.7109636321223042,0.7757506032447548,0.8044287359874,0.6189682400635292,0.5802376856112278,0.8324859024692475,1.2504791140603444,1.328560835423839,2.5605212239018647,2.4795470293110244],[0.8488617062587714,0.9732223981241739,1.0606091015561832,0.6082343456847795,0.6320173225766607,0.6201399301256176,0.5863725555633368,0.6113413626112121,0.6037653657328607,0.5628539786924169,0.5670141671343871,0.681779148834653,0.5793508869923673,0.5439525542177917,0.5992393439942079,0.5957138540012593,0.5858846084140528,0.5815203002219278,0.6133280665813788,0.6109637464188118,0.6394632963127141,0.7487225927483433,0.7831633188112234,0.8799351836776916,0.7701149930237026,0.6795124910043742,0.6293619063837194,0.6188949524523096,0.5961215022613809,0.5723742043884141,0.631409020941827,0.644916110356653,0.6853574156299583,0.6470656390443359,0.6205935856987596,0.5954114618536637,0.6409353222283122,0.6064130918749704,0.629937402093203,0.6896090756905688,0.9213053464625902,0.6494561117543151,0.6552875115542581,0.721103864028643,1.0131801424464018,1.2077532312907722,1.2695495092900646,0.8973246872199991,1.6233269333422375,1.780037594788706,1.462791388487355,2.0900892484210263,1.9799281053879445,1.5153613236783146,1.5711078210872331,1.4384240349383277,1.546051364123899,1.017570082236692,1.5848420582229947,1.3275191763369947,1.0880821146062944,0.8677528971041271,1.2446240015276206,0.7842181092741533,0.6853653267120581,0.7656777308259768,0.800831705331773,0.6497438755003982,0.790239492056415,0.7799650311620586,1.0436127909088293,1.251531623573862,0.9629289554679127,0.9318303715928581,0.7168668243567555,1.110155882101614,0.6095997151105657,0.6547934379353667,0.6440745123617343,0.622403143078355,0.6336286445527157,0.7523986582726144,1.0365690660455362,0.7128949609824663,0.6731069734708494,0.6576760197115883,0.6386918749772628,0.7644540583517829,0.5972063674921841,0.702411445947055,0.6264785482273006,0.7681836325705824,0.7443730401573213,0.7093740428754276,0.6892719724736723,0.7754509501176354,0.7675148268310077,0.6872749187954594,0.7089437109375518,0.9109015205441143,0.6949136018721936,0.8393719874295652,0.6875270289721306,0.7514829965376467,0.8156491808491795,0.7554210930912691,0.8915822794509467,0.7478624250752346,0.7497854065984648,0.8494191885000317,0.7134218197827514,0.663691112783895,0.5882748619533158,0.5547700093484377,0.5959933229419007,0.590769237646724,0.646531216229788,1.2849531206327338,0.7075910941191187,0.615740160779406,0.6387025883862225,0.6100944418416219,0.6397508689518897,0.5655803433274956,0.5638288037003768,0.6600268633635941,0.6393629226511722,0.6164762269556567,0.719521121428063,0.7140426418322702,0.6572323887529788,0.6704112632580626,0.6573392017529316,0.7124592281955139,0.7157271365879865,0.6966525740694478,1.0729069665428579,0.9529021444025408,1.2395356789867,0.8530254999991465,1.5335703781714125,2.106182892870845,0.9418704044456687,0.72895257193633,0.675430321169683,0.6285280356313002,0.6359073028439615,0.6175465863632654,0.6036326588417182,0.6195282828659319,0.7083982884215446,0.6457679772780355,0.7892521790957846,1.3922157062407687,1.0743070329464663,0.7359672555005947,0.666660640884873,0.6903870520731008,0.6466486194107699,0.6766373435269796,0.6631878184787591,0.6407811632446893,0.7007061717654559,0.688398890448339,0.7826572526542086,0.956975791437738,0.9983712495399597,1.3408416749832641,1.5564887484822025,1.2934555242003662,1.034787114244014,0.8140132989337737,0.7425635498686148,0.7013134554776961,0.6640535252877297,0.699928676463765,0.6839559207363365,0.8494350009968344,0.6848280825603177,0.719566832642766,0.7000457480138288,0.7107346862016253,0.7379165832548359,0.7390097954547398,0.7228733764018566,0.7959997903427476,0.8385843952992255,1.0458128531875366,1.8719169918672733,1.1948509753824588,1.5267805416870643,1.093872839903409,1.0421448328525256,0.9429951773088155,0.7090054856606046,0.7257282141528263,0.7220149263450643,0.7516236142523266,0.7696276517050871,0.7336233823149453,0.8229610547293372,0.7944254128319034,0.7231776478547371,0.8612765080145407,0.8632993844627206,0.7765547513327098,1.0154929011411065,0.94682236065951,0.9035980979361106,0.8491018939738116,0.9292338554575935,0.9983465652516852,0.9192726864403202,0.843400929587359,1.0848342509277127,1.2700758020427694,1.1527761801836434,1.4131685081370842,1.1335712240020144,1.1731193035473295,1.339923327274449,1.585209532531931,1.6872262775493798,1.9131024664757899,1.209260535060446,1.1237637156974245,1.0420915815456397,1.0605861501430132,1.2148208407808367,1.0517158719519448,1.1077139154270452,1.1874564928125448,1.324417284483743,1.105267055638926,1.0811050872797816,1.390393052815696,1.239743788804662,1.0971122745294588,0.9309371251280016,0.8283596253328963,0.8550040964174156,0.8951568355394829,0.8938590147315275,1.087598060181445,0.871126024934215,0.8277689393897547,0.895653432866422,0.9212399921176001,0.8441504977405431,0.8529112552913094,0.9118089946050001,0.9567534597035805,0.8584738583112869,0.9558846067247405,1.0067662626980038,1.0416604993792147,1.0061066449381937,1.0739199121906657,1.0644142269063304,1.0424154042701912,0.9793764040927302,1.0254622446664639,1.1276024837027547,1.0154951977113928,1.0313270939242392,1.124327347195091,1.1341936151958307,1.0888590519882835,1.2054305317852514,1.3378975460985207,1.2509110484586896,1.3101901774124838,1.293793571761666,1.391321080514531,1.3983942322561695,1.329067221037464,1.393121007139352,1.3795872529129105,1.7007405258257284,1.1958505693459116,1.1364301973678075,0.9808437043675728,0.9547570443755858,0.9447956493118312,1.0397590108489703,1.041912699749594,0.9124426812570892,0.7291973939002104,0.7183223507155264,1.0562966513227794,0.7555636297874172,0.7466108753700491,0.7315220688797394,0.7454560664056489,0.7597661390708554,0.7950156459482189,0.8346693052196814,0.6798217772586427,0.5563543554900665,0.8689999019881921,1.2443697564577272,1.2773161197572467,2.4706188417291695,2.4290598460350057],[0.8727063435347608,1.1571667446730136,1.3795067967113697,0.8383469939863689,0.9257677362127282,0.8313827133699047,0.781281703893847,0.792537017135033,0.7311709792822138,0.6839301325734728,0.6584887812110828,0.7779519247365927,0.7143518653618579,0.6392678898968763,0.6823508185973745,0.7307633040226319,0.7271261429002749,0.7065752525700885,0.7433578146117577,0.7679917184985405,0.7873259811217952,0.9119497597911185,0.8993613873296811,1.013538650547957,0.9089361845390005,0.8271377940201166,0.8094800821585141,0.8019837128519463,0.7709539520124721,0.7440530090267792,0.7464492365179498,0.7910871411322918,0.827560537568815,0.7827320112532254,0.7692682488975336,0.7452732421337322,0.8179188992469194,0.7992256774333493,0.8458749118375454,0.9221217626428648,1.082347094907413,0.824818210916203,0.8455553293890639,0.9034024246632718,1.1244256957057004,1.3115765454022823,1.35208541340597,1.0904619908135618,1.7057061567493212,1.930366821068867,1.6537201104658625,2.277448103855361,2.193487893457732,1.762171613826326,1.7948474227563997,1.6761145204971513,1.753767781773694,1.2392894109189871,1.769122375299394,1.5592628343116677,1.2437696860666936,0.9954146206215029,1.3534086686042512,0.8779631474498228,0.7929977782877135,0.9062685287587684,0.8882529478880226,0.7522973920558037,0.8489866025793981,0.8229048275768287,1.0567994745215232,1.237812400916679,0.9857686075520083,0.9535663676610564,0.7789724070641018,1.140578777472035,0.720265602537041,0.7737942127516179,0.7952017491393814,0.7846312295979231,0.8167520932702454,0.9581783270224585,1.1981679900118334,0.9606315474459153,0.9118734295103172,0.8736452673930417,0.8158412401079735,0.9364565717959599,0.7597068617262688,0.8230934535292651,0.7318291969867832,0.8508223052328809,0.813355034215884,0.8134591916105927,0.789527520922244,0.8433007251127987,0.8301710863653918,0.8104037130885046,0.8426287482811621,1.0386168253329913,0.856643702652035,1.0404854063967384,0.8940134718957101,0.9714985139929387,1.0784186815857275,1.0133796560169994,1.1450406564751907,1.0539724775944521,1.0450934737078557,1.0561292410735714,0.9710716127904301,0.9144595047751035,0.8116089376730901,0.7770784908683296,0.7796428579714054,0.7747905980253984,0.8069020098855109,1.4290648536238153,0.8139900722643276,0.7454000229901402,0.7518863155977298,0.7227484880979728,0.7696170967820952,0.7284876178138244,0.7392804069444263,0.8767824237391076,0.887247119024814,0.8840855335498017,0.9947381843282043,1.004276707145289,1.0006167419644516,1.0025103200111816,0.9888300148984215,1.01367895961912,1.012570472515164,0.9917000178792121,1.3101359818154552,1.1976982914134973,1.2908081747722069,1.0997606315513742,1.6013612982989864,2.153068428443652,1.1040102815547406,0.9306001332623747,0.9023085740506902,0.8418689897211252,0.8541948261227197,0.8227461038082718,0.8297129324938913,0.8201969344470951,0.9028169647890855,0.8058260866739331,0.9261369205213948,1.4042786359544115,1.1211214712618702,0.8841968840950667,0.8353177585502519,0.8924950078665767,0.8494161074444987,0.9047606938254659,0.9120803713598057,0.8774258038430769,0.9419017675467859,0.9316378156774214,1.057153526775217,1.2095588118631764,1.2815740558482833,1.629460391464957,1.8172766797636328,1.5393739696404902,1.2991488904300348,1.0824132718316009,1.0230974559420052,0.971766820045802,0.9256559835179587,0.9550111542565611,0.910391830045568,1.0709761296429272,0.9353315039354845,0.9833954369521593,0.9605407831676749,0.9780012789166781,1.0216927179871613,1.0282674931279665,1.0089226374587477,1.0439476472474387,1.0480289570679735,1.2738526004746495,2.017489102993534,1.3398847660301487,1.6885416736533683,1.2918874183945284,1.2932978709028409,1.239714812931118,1.0529721199654758,1.086751382073124,1.0652847262665566,1.1151440963013741,1.1119970294647021,1.0487574579679626,1.1278830398605308,1.0763544155474654,1.0232826802504817,1.1450983620196504,1.1247770668832322,1.0294674461716349,1.2148361023550762,1.185590099791038,1.1059269015421527,1.046711827090419,1.1410495740734534,1.1567811724409645,1.0579249096997394,1.0537632326880777,1.2090816245112284,1.4014953014026168,1.3165639998943504,1.657585980410171,1.3714018978262335,1.3656099540975024,1.5360346625713106,1.7368362575093932,1.8950797918224713,2.057153448385467,1.4264350441954954,1.3577608942004555,1.281129380832075,1.3400323667667344,1.468524548969832,1.3258560066847138,1.397262594812863,1.441284619209537,1.5328597654409186,1.4089967310929963,1.3977256552827024,1.6338426622240816,1.500530944481578,1.373925514136959,1.2367166912507694,1.1495503230184674,1.1586825054815093,1.1828292174323387,1.1645001678018287,1.3249388935941218,1.1219935762379423,1.1143454272383282,1.1388918107425856,1.1263407102352205,1.0631650465133509,1.083713716234508,1.112976817140019,1.136320662238593,1.0576679697607818,1.130075667797399,1.1501062932014467,1.183188788856785,1.1344167445199007,1.1940552240812472,1.2074267182563454,1.216438283339347,1.195756448312285,1.2494194743580156,1.3200850617307243,1.2333234432278293,1.2674808761714191,1.3558498398829115,1.3657225388633454,1.3544589539730212,1.4631088042362024,1.5475904411466594,1.514872708065991,1.547504084625911,1.5392963077192539,1.6158846592088547,1.6515889302494542,1.6053578461346902,1.7149040955885908,1.6934735817531033,2.0007803978094816,1.4366748983090922,1.3964105069111976,1.248304759478724,1.1985228370743783,1.196042939149064,1.2627910831152194,1.23528298213218,1.2618997580037594,1.064440198918854,1.039812696833868,1.2558226556660954,1.0227904127244671,1.0233005691491686,0.9846703650241486,0.9719219085007378,1.010689159159402,1.018411634161401,1.0001874504895008,0.8575325993032283,0.8000760070327478,0.9799532236916376,1.47373808776488,1.4300854237878242,2.7562913030897556,2.7677465103604773],[0.6151303004058409,1.0388889108669883,1.453220643242757,0.9159672367196138,0.9990599501936522,0.9129697713602872,0.8670869194768455,0.8531821120515162,0.7988562814059015,0.7774938281739436,0.7391393250401458,0.8384901498829377,0.7980311062822326,0.7317377301192305,0.7597042509635962,0.8114589843938813,0.8448917938453399,0.8139270112087199,0.8827280287072228,0.8874930819195924,0.9279683545390565,1.0542640109035584,1.0372647646250346,1.1438910811769418,1.04337292693033,0.9667283124417553,0.937320939384649,0.924691381694256,0.8972035519026563,0.8541158811025628,0.8231697226247704,0.8635092921715815,0.8754335527471347,0.8514212352348172,0.8721213343635859,0.857289221936573,0.9280806376812443,0.936841082838454,0.9771213185199764,1.0343154092207856,1.2189583297251618,0.9533046281578329,0.9842743251819902,1.0416452726565963,1.2280775199475849,1.3773095959732549,1.4490626296505853,1.1860625050976275,1.7434132737369066,1.9613033614995927,1.7156210529172236,2.3564190910685374,2.256038573091723,1.8998943338859962,1.9144609810103201,1.7914293883577679,1.8926912175610986,1.3920694754049265,1.8763038982029119,1.7232505060967254,1.3931184540007238,1.1053096973583934,1.4444844611523573,0.9898644868730598,0.9220564600529331,1.0660531527632457,0.9927971032405347,0.862092874563423,0.947364894762438,0.8970944752331952,1.098715500855609,1.2246594208775823,1.0184852363010275,1.0383103920744454,0.8438179293357942,1.1213233311111317,0.8209721867073841,0.8494173676353629,0.8993968624772365,0.8958229263324774,0.9050255174543415,1.0586575511694671,1.2470469466767282,1.049836355420422,1.0168617376290827,0.9689398611334276,0.940465380403283,1.0357752431230958,0.8731633105756408,0.9189758469438034,0.8145756304045387,0.9006001805882572,0.8703278703194407,0.8471640903325547,0.8363438522421626,0.8696899315415619,0.8501434990152863,0.8482153859968846,0.8840275687146801,1.06016798320592,0.9180229467622073,1.0662540413565667,0.9621494770092951,1.0289395058046829,1.1262334684717477,1.0852841574300083,1.2141876747135958,1.138522945014234,1.1264143956467083,1.1205132874940331,1.053385184881336,1.0103291319697154,0.9037203315042642,0.8936346960734997,0.8927570366973695,0.892951673953533,0.9087432331873153,1.5645453213417466,0.9415465357442198,0.8677263877436509,0.8733657109881765,0.8453232604932452,0.9035340045522857,0.8539899750655409,0.8538368615397686,0.9979076222934489,0.982813236191298,0.9771455807848868,1.044610391627351,1.0460828199574967,1.0436377115859,1.0416006714590311,1.0344114301198892,1.0418713260494479,1.0587896019281686,1.0661544621755006,1.3075315963547076,1.270957842711798,1.2673065046951273,1.1842080415747078,1.5861808661203842,2.19538553570164,1.2004468575952416,1.0362615737386738,1.0319814175298618,0.9686783912493634,0.9765418810494627,0.926534944874428,0.9289042419740969,0.8928114748737439,0.9646780635219527,0.8549803077901333,0.934315014993412,1.4215092048104758,1.1518185454099363,0.9316502349159239,0.8975033199052478,0.954043389320272,0.9323976278431385,0.9832340741340999,1.0086953428663437,0.9786043261079976,1.04207977689204,1.0421846823338707,1.1456815328398193,1.2953529424478147,1.3512662285566255,1.6951124823412658,1.8499469880606234,1.5895364642871792,1.3447964385282924,1.1595376356374032,1.1031914503193896,1.0592291051676825,1.0218123533985424,1.0265697758024608,0.992022400897617,1.100674015530331,1.0316440631032373,1.0561564159718075,1.0434622917278726,1.0454404062143117,1.066706333744761,1.0867001126386,1.0829733069671788,1.133602997426999,1.1475701697574012,1.3746967299607094,2.1069940809815937,1.4817404081472396,1.6912691134873825,1.392988433182645,1.370365903377408,1.3015038131646512,1.0852840009752371,1.0656089528569421,1.0343388634278625,1.067060116204047,1.046411072572462,1.0490377718816328,1.0144719650533973,0.9954234295011584,1.011280372615753,1.022032728433995,0.9811864095932423,0.9732043679886716,1.112808854718615,0.9964033580566776,0.9609563179275934,0.9739349456590097,0.9711457428435751,0.9693563459637222,1.0271842431628797,1.1198106577569564,1.0419633393343766,1.109232378767507,1.0354830779735948,1.2177755590975154,1.0113301299593125,1.0098348576172351,1.190715948210824,1.415963775945684,1.5115706682363692,1.69872076223183,1.1284602536055337,1.0908080043644959,1.1119008698673107,1.115092635485019,1.2344149401986562,1.107279077790608,1.2186344247271574,1.2326053047704268,1.334010769754812,1.229503299786536,1.2258044176112053,1.4871896047675424,1.2962189734679308,1.28317222100545,1.1122301989416827,1.0695387576232431,1.0249637888792067,1.037080285928895,1.0442858303203928,1.1740368934334167,1.0676887631953733,1.0395889856744513,1.0200209514354197,1.0518598034180273,1.0407820729134796,1.0073737941617835,1.0464716357300072,1.1041664732628282,1.0191914312393484,1.0099309322943744,1.084886158547378,1.1760017207737172,1.0065606918806498,1.033947664985107,0.9901979143910666,0.9999354981530068,0.998537988916987,0.9915115798172037,1.0410332988412212,0.9815590029922187,1.005044245498911,1.0392721153751205,1.047087915526936,1.1035256225752152,1.1731812368685077,1.2643408727667118,1.215447914712011,1.3140617634521607,1.2568841436825093,1.365161045362572,1.389609289373152,1.3826404454494363,1.4112605106572471,1.4488037197320625,1.6709672544805414,1.2354824221845784,1.1783554816220814,1.1881337564037844,1.172594925167529,1.1752900749563817,1.2074584742601224,1.2415909369868299,1.1694271051144898,1.1142427730147828,1.0502152208813316,1.2677974375599002,1.066805523010998,1.1030690846998845,1.0225947165139386,1.0329536608791738,1.092248948242041,1.0234828465624792,1.0115174327046879,0.8773627704919243,0.8268935197244028,0.9282177524183578,1.3308095852201778,1.1432551622809903,2.264675920350561,2.4658936312801725],[0.5225956366404125,0.9830230208769573,1.2919064754933176,0.8984718320273006,0.9060904604971645,0.9078873392291527,0.8711459803918232,0.8579740447403338,0.8588201815816245,0.8301561783785347,0.8142713258321792,0.8897864633586305,0.841433684333212,0.7953764447777564,0.8260563255871133,0.8632276382475734,0.8691640951341931,0.8461797119664869,0.9019340579681695,0.8967579957464987,0.9253720790770411,1.036608725849978,1.0029962718768277,1.1091544613894841,1.008008036196802,0.9535040709894349,0.924413527693433,0.9207578801714127,0.8974945371995378,0.8605261685432037,0.8687042595888289,0.885463914770634,0.9146320463419063,0.8859685840101525,0.8825852078215403,0.8681251298797782,0.9101254717767937,0.9061304307749314,0.9309531893213157,0.9723974182439493,1.149346355890609,0.922913997175894,0.9391788552100806,0.9644744728833791,1.1536117074921786,1.3199060772129514,1.352911740430942,1.1281229240294237,1.7269526295006594,1.9342392938489341,1.6599528593241326,2.2754664715076713,2.1984462828351616,1.8018212294467366,1.8328907534813015,1.720684064779374,1.8144115170116013,1.3222078025074855,1.8477479278173,1.64512092374001,1.3382106023476579,1.100836883956549,1.464470733309781,1.006063067861642,0.8949531450054254,1.0407567113238356,1.0119215552472576,0.8913603558625884,0.9764242653114613,0.9476966389972478,1.142736412329339,1.2735976200326171,1.0773410655249598,1.0648658460917286,0.8928456683705158,1.1766665369537466,0.8435591274873518,0.8823548431642799,0.9087145665587185,0.8758834598127097,0.88401487452886,1.0159234432392252,1.2131128051134898,0.9790761463971763,0.9452390229036094,0.9256796985424516,0.9070911413365093,1.015435753891502,0.8786222665525513,0.9449352114084668,0.8583929525574664,0.9556636111224648,0.9294413799335498,0.9109966212188003,0.8996720377477572,0.9460569098967981,0.9225963280573599,0.8968153480906178,0.9245488415542801,1.0757193827951317,0.9217021761912161,1.0400458871642726,0.930589336671844,0.962727442115632,1.0303177324869226,0.9683811212940024,1.0453605753141917,0.9424346182765411,0.937299521792231,0.9965388836013815,0.9331374325638989,0.9247588012963569,0.87196828423957,0.8545927948758525,0.8988931791492392,0.8960527145347787,0.9256084884948913,1.538545682155562,0.9283412734239708,0.8934862778637137,0.9063434127313125,0.8780003356860923,0.9031373715843327,0.8682192198227258,0.8655873027571311,0.9530127414354701,0.9039388843625902,0.8882193247952701,0.9449762880423573,0.9366494418441937,0.8876571888585126,0.8582216969595904,0.8840960262699157,0.9243589054538758,0.9588608347316909,0.9807896659444992,1.2997143658048298,1.2203445472735954,1.357125828017546,1.1569685979142674,1.668300753187523,2.1592203882061587,1.174763223790878,1.014126980937639,0.9877916408210913,0.9403396364504513,0.9491172342014124,0.9055998329734483,0.889454677951798,0.88901865519955,0.9252286984771466,0.85516934966566,0.9014646080341212,1.4386134543953153,1.1662569850583713,0.9328395051170036,0.899421228986148,0.9205051665950514,0.9131323692316767,0.9174938266426372,0.9375146200706557,0.9357182047418637,0.9955060456313458,0.9777271829615679,1.078667635059081,1.2351861243783302,1.2626480147192962,1.5883129380718626,1.7671720540958153,1.5299586772725986,1.283628040127054,1.1027745601187617,1.024274545325234,0.9747777465155999,0.9455103407554919,0.9587369703237022,0.9588523339488981,1.0643473132145593,0.9598109476189051,0.9651772210408296,0.9500340087856383,0.9422273774922758,0.9562552352273809,0.9579483552052285,0.9654001365548671,1.0314514066662828,1.0691467105618861,1.2715238161641138,2.0072656288655204,1.3100896977497523,1.672727302737704,1.2456509793258326,1.21993627398351,1.1492279224767865,0.9336377633181016,0.9295476626883731,0.9276014891826235,0.9133713298824935,0.8936320365488264,0.8603850871070993,0.8580425938041809,0.8260793902811662,0.8297674085045403,0.9016719990230734,0.8231014537427731,0.7811951371195142,1.0497909257812017,0.8862373280525636,0.7783872311310785,0.7879035226248019,0.8148067775006397,0.8006983568205215,0.8147856249676108,0.7976127385163722,0.9081393346575362,1.1742301416786611,0.9241372353264169,1.3285750136794996,1.0221035853896399,0.9919047665436757,1.1901566221826978,1.4552952646177038,1.5189871919960318,1.739105787945178,1.0747863309588581,1.001961712909566,0.9724354519599582,0.9939240770434654,1.1446081755066724,1.006408386151595,1.0809265559102963,1.1571308185101241,1.299547888110147,1.1225321891444917,1.123063460889189,1.4111046271642527,1.3023433214244702,1.2120106019636998,1.005986047800157,0.9176049648162894,0.879276364741966,0.8722935703200515,0.8725808087598054,1.013207776559682,0.881578094884665,0.8402689006254414,0.8305490493820792,0.8756499290140574,0.8689561434315527,0.812242124414297,0.8537158880762163,0.9400723582886987,0.8170351256009459,0.8197980480807335,0.904619901180016,1.0117195393876568,0.8224964316253308,0.8598794059335472,0.8484151307153828,0.8477094928795773,0.8406569228904883,0.8629363639525567,0.9339717267205604,0.8728156207632624,0.9172665189825857,1.0001545062219481,1.0225475559324788,1.0539024428736925,1.13695102015395,1.285947417359921,1.2447787096484455,1.3191891392812636,1.2869264610436775,1.3703025909016022,1.429584797049901,1.3762102529354667,1.4109843869921304,1.4086520946179728,1.6641087543074125,1.2877151350059084,1.170972911020867,1.0332264193786667,1.1221951432440802,1.0998229235192722,1.1627307853780793,1.1385718312594404,1.0472701893760816,0.9082612508171287,0.8805852115924961,1.2044026061344764,0.9106891560713238,0.9229362074184624,0.8426215528988609,0.9145650446456023,0.9756163461163407,0.9027385225106441,0.9622466289007454,0.8538235702241918,0.7680325080411948,0.929619251848216,1.2672722406142078,1.0763390759064217,2.0710160100780657,2.2939789049347525],[0.4792005603830086,0.8380961584953691,1.0122417562117576,0.5845213855592553,0.5848148596937145,0.6328485839770437,0.5965858891020741,0.6063318096118258,0.6125447245614416,0.5867057462743603,0.5747872987944277,0.6695666546178726,0.5942007953114865,0.5698104439327736,0.611562587909714,0.6108873708534933,0.620334008816411,0.5969276467013059,0.6570986674235939,0.6447584396594273,0.6793093248486282,0.7988325612687728,0.8252828987047142,0.9288964627785781,0.8314736048240392,0.7274032779570248,0.6740106880040173,0.6543902468166924,0.635276921360725,0.6030474776295895,0.6394479106865356,0.6402081838748532,0.6808826869957764,0.6453990933233497,0.6401406963475874,0.6180402123735206,0.6685956672788899,0.6570110556371942,0.6758316002812921,0.7392280593538818,0.9658646606047558,0.7048163209075702,0.7202429138479772,0.777633329314032,1.0584631281168544,1.224352906753965,1.3097254193064511,0.9093925772732624,1.5982016355470454,1.767902199166855,1.4416086095966407,2.0768254506973216,1.9862642679411127,1.579917639527648,1.6597119689589301,1.5167941436429186,1.6157494627823998,1.1248505849154224,1.6895639857927616,1.441157696869846,1.1591426945458634,0.8958382553671788,1.2967319981035565,0.7990066709445907,0.6873890536945418,0.8420233063834353,0.7997075820166165,0.6597899443978639,0.7837223499950767,0.7735083480293955,1.004272433463211,1.171165307862293,0.9299327009865447,0.9090088236211165,0.6854849827072771,1.0423782585658588,0.608332813735459,0.6401823857946317,0.6562533532505705,0.6329730613038523,0.651694785998767,0.7958023947471891,1.0260465150359348,0.7319618249541728,0.7081879193323023,0.6890275935542275,0.6800369946683165,0.785062044312434,0.6158052532329635,0.707366641966409,0.6177504025934445,0.756600001591748,0.7317530022120982,0.6802203319143019,0.6713736669136208,0.7428760363452789,0.7316294112884906,0.6681910435067775,0.6844808810657648,0.8887134364081862,0.6909309919823612,0.8157856202353281,0.6804559947688249,0.7382598797092078,0.8032781288992049,0.7435992803042767,0.8563849922487272,0.743098112355438,0.7415824573828509,0.8393088814130403,0.717224812922072,0.6691059939862087,0.5992690457715749,0.583049832969849,0.633986309096326,0.6304922102598239,0.6750862962245144,1.4114646231863692,0.7445753988007242,0.6432996511695839,0.6691861852026879,0.6478289891333364,0.6933953276688327,0.6129588062499864,0.5973089461596159,0.6875775614584013,0.644743208296087,0.6345438282086345,0.7071174166164466,0.688224585328197,0.6177496488915457,0.6245229130901006,0.6245792869024419,0.6751190838230388,0.7028421773627922,0.6994370446480619,1.045692740890771,0.9504466198955406,1.206121686035941,0.8630129650086866,1.484011582182584,2.0694264962382247,0.9526611783794839,0.7388914266043636,0.7102229653535929,0.6733009883035035,0.6802901514129381,0.647041569484348,0.6213151774200393,0.6309362599138008,0.6982086283011486,0.6257404159528481,0.7239531288126088,1.3587119561913543,1.0713745543667208,0.7192252012549408,0.6643543375698543,0.6820441806255182,0.6583250281681802,0.6840433994779745,0.6772117685189525,0.6700006663515587,0.7461536972451579,0.7359830645606006,0.813281669452188,0.9917548349708536,1.0112670772352845,1.3481414587118505,1.5412973083456738,1.2977724844442353,1.0348867196620113,0.838182028311608,0.7640545031246593,0.7157952209832583,0.6834189345425945,0.712874942447277,0.7008001488055462,0.8359935371885511,0.7079366365339711,0.7157493612735676,0.7121658598170736,0.7043022683780512,0.7131736069247303,0.721834308642422,0.7244871970717197,0.8168548286812651,0.8702609679961862,1.060773370930145,1.878489537115792,1.195306637317672,1.4989097258369883,1.1095298858621365,1.0319728763719391,0.9217293739730309,0.6742089948678566,0.6484887641087063,0.6433949425529474,0.6586459288619347,0.6637883192784325,0.6788781264491357,0.6879898239035569,0.6704563584065792,0.6512984557449035,0.7226775868227021,0.6957112853783587,0.6516965068314695,0.9187752579377427,0.7663603949760602,0.7127771360625581,0.7053924811904819,0.730542150546601,0.7678265495574774,0.7744090051811755,0.7477199862701353,0.8820096608794659,1.0616369759639892,0.867137708425941,1.0975374119094554,0.8617047205635834,0.8843231093009553,1.0708684121976937,1.3743567291173306,1.3953347024469314,1.6296542934850042,0.9700662671419412,0.9059191672007997,0.8797417821128601,0.8630715084937022,1.0309400306001952,0.8608545712748332,0.9120493254745006,1.0218950151345234,1.1750356247675118,0.9279968061351273,0.9329383633953271,1.2845309330641554,1.1149602105396814,1.0463111971393824,0.8194621218158242,0.7180647354302774,0.7066977253876215,0.7315370922802694,0.7601632082643981,0.8999495772652021,0.7701159970148976,0.7058305698560643,0.7406054545124878,0.7874087439378505,0.7708887584708571,0.7171896317803689,0.7778440704952517,0.8638586010701691,0.7374014326420991,0.7799213036551512,0.8678093160696333,0.9546784994510837,0.8108498516090679,0.85287362573085,0.8212846327729106,0.8057997259691188,0.7664703299965901,0.7790330835821796,0.8680935073557734,0.7818121925240306,0.8049509729250026,0.8677425470802497,0.882874473121179,0.8829167356282117,0.9732249255820001,1.1476347135660652,1.0268744267422858,1.1417385680860983,1.1024273105811013,1.2170334768325253,1.2100457365311343,1.1564128567099412,1.1611435369913163,1.1906837548858324,1.4064936435223028,1.0540398548445022,0.9508422120039117,0.8523713281584413,0.913776454414935,0.908065427763212,1.0157904932780286,1.0627428637902074,0.8265912129402995,0.6877703222599659,0.6617273160721754,1.029675451207789,0.736733720305636,0.7309035205438955,0.683468898325816,0.7311942252379776,0.7682675842912169,0.7429224772176224,0.8089675873111869,0.6559336600867405,0.5309401230149573,0.8490636004272739,1.04296038375351,0.9961347213279838,1.8378044983832695,2.009984748647423],[0.8921611650501379,0.8346023588259714,0.8149844595910627,0.31833292037380806,0.4466564261342422,0.4104025072163111,0.3716557271868172,0.41494427494726754,0.4574875021192994,0.40416986384386683,0.43267085135117805,0.5640024281878484,0.4107583972293414,0.4125899483110004,0.4924094944972193,0.45148985989784934,0.4587914066098122,0.45883760229818416,0.5051738439507355,0.48407994535217846,0.5271179611455478,0.6210725338937817,0.6911151055870877,0.7731962753627555,0.6828798854151598,0.5641966206073468,0.48354683329722503,0.4620397037795976,0.42502010944515245,0.4079909840961281,0.5085207559759788,0.4905182495947445,0.5579431924124277,0.5223278735443365,0.46148637451730906,0.44646399401722314,0.47748312077230487,0.4184983838284993,0.4393168410759105,0.520520091234321,0.7796916596075599,0.508495874270733,0.506556078827445,0.558705845951369,0.9108159162365098,1.1442827415880026,1.184273437060631,0.7897806330715563,1.614404889548411,1.7527456434088298,1.3976248064962589,2.0064607375714854,1.8625615549219765,1.3706266281536739,1.4416374456513146,1.304999270518819,1.4041319123889808,0.8770254929038899,1.5097533720803324,1.2083335938177187,0.9874373909635829,0.7893210072287616,1.1583709344257889,0.6983353474572502,0.6219397257708265,0.6579651205662611,0.7235222072935282,0.548954427705834,0.7208006452921267,0.7241762235766225,1.0169337236404838,1.2260108528461204,0.9336091377580917,0.8988527073293591,0.6387490226338899,1.0271744885043446,0.511653253907852,0.5267196968927486,0.49707439896131345,0.49896682709720747,0.45449534031742084,0.5866470919916925,0.9316943849644392,0.5160337403944463,0.4946397290528507,0.4712637138754336,0.463128021783185,0.6113744015048971,0.45205089819651967,0.5921336796440838,0.5090471615817163,0.6686414533211171,0.6482392365343652,0.5857427135378754,0.5650494753725032,0.6656021625647955,0.66597073824144,0.5592107506321616,0.5665396240554171,0.7942397420723236,0.5573423291052847,0.6487745757783222,0.49027853006578237,0.5463876357548951,0.5875901085940936,0.5521255860954675,0.7420562448852412,0.5126136470339471,0.5229767516454668,0.7063996021108817,0.48376394375779763,0.4437291608773301,0.3634840297639371,0.3694754871871322,0.4259552147903469,0.41361037373243686,0.5382355750806099,1.2466688835158104,0.5918373135517901,0.5137926334774778,0.5338013030452503,0.49627937808360995,0.5345371243686672,0.42184302292298076,0.38846846524976403,0.4280676367887607,0.4244137256985548,0.39465684949801094,0.511930836104981,0.4990021595209511,0.4544767906342762,0.4710427884568,0.4791237148121691,0.5139682837361791,0.5708534665523121,0.5141765044465936,1.0305926122491185,0.887775248272638,1.472171170852003,0.735561175648165,1.5552020116869256,1.9833779077689124,0.8087767257181898,0.5741910004185571,0.4623229279065232,0.42624975042671853,0.4297310200639284,0.433760407286579,0.37899551799492287,0.41531754340442656,0.5134827235548772,0.5024716202045499,0.7094164854606336,1.3537327845561238,1.0182632300420968,0.5985629764575721,0.5007104395541412,0.5086211994453005,0.4543823059657169,0.4669219221211037,0.42616980050788095,0.4204978478572882,0.5426451914283279,0.5116502646919577,0.6369061680555601,0.8627757667965295,0.8588327955218488,1.17337077018622,1.4006750151720775,1.1928211484708706,0.9345719179662358,0.6972333870102353,0.5794242576251195,0.4869776768287882,0.43311018670591106,0.4759414388944643,0.5029855253739687,0.6584761926616199,0.47034523441935583,0.48140895601392253,0.48484026584421164,0.47326777863938674,0.5097045713629061,0.5484364132236047,0.5548557297617623,0.6369778040179013,0.6812370184458326,0.8679142064888379,1.703108100803502,1.0404249131090433,1.4736244818220852,0.9906977825071869,0.8943166893636104,0.7719054007923332,0.5922130972736321,0.5422944920459887,0.616122059202107,0.5672412443569249,0.6045989002168949,0.5586375865237807,0.6746076498327183,0.6381347624330829,0.5608893593891031,0.7412208862860686,0.7461672004690376,0.6748829179293143,0.9794520002420797,0.8650556429695739,0.8254280165724406,0.8095742922676291,0.8809459928735849,0.9402304593855733,0.907693526048901,0.9030559503582682,1.0312381924062526,1.2203520160169379,1.0225364908625474,1.2105409550636734,1.0012289614349241,1.0373077173259455,1.1655124276978526,1.5547584844701694,1.476778117413015,1.790397112950213,1.0552073139411875,0.9623557986262634,0.912280150966865,0.872679954124318,1.0425791235649378,0.88649135964885,0.9061507502630315,1.0441944796338554,1.2292319518299648,0.9067780318894351,0.874454266538639,1.2140950358871987,1.1073844819035976,1.0127382677580161,0.7917086484837439,0.6842235966988964,0.6776095027901149,0.7381256625299939,0.7506395690895332,0.929642206825071,0.7137622204312617,0.6380752567013809,0.7405060206455886,0.7642375202042041,0.7032268459734053,0.7021811032086182,0.7772176168704226,0.8485619221189484,0.7502621598772211,0.852143242063369,0.9098595859238539,0.9760179619391923,0.9403145261551852,0.9764630932212753,0.9613963207702604,0.9146640408757465,0.8370433760897313,0.8707305415069356,0.9719081860530477,0.8982374300375503,0.8927610601360556,0.9765018062206642,1.0017845446438916,0.9462319890708641,1.0322775058498732,1.2355555893126688,1.1055875354984315,1.158786247235926,1.1467473083520154,1.2494412911639199,1.2440969658174852,1.168916959943911,1.1541323094430047,1.2096796741630798,1.389510266863726,1.1039780375109687,1.0087899578274797,0.8358286679586914,1.0278793488511333,0.9558565334817991,1.0357524627590666,1.1053641075257568,0.7720044094255143,0.5395202530266837,0.5298707186490678,0.9291138036483301,0.603933596054133,0.5250272522305323,0.5693761672025539,0.634343300131374,0.5366824141757645,0.6233214058758206,0.6848270551905515,0.4953341776814894,0.44123841064794983,0.7922918729833388,0.9241118429435308,1.003364982983459,1.744839502295391,1.8576397328812129],[0.9613052513121922,0.8245648899823205,0.7634001253532549,0.34335446143042336,0.41504632431452454,0.381731343315656,0.3538246859250392,0.4084860946707965,0.43282467855453205,0.4055740330123824,0.43210453573121604,0.5225525897328309,0.4200697029623161,0.4294184677093016,0.5049382681557505,0.4554258767853188,0.4492954949362597,0.4631294667131686,0.507746747068959,0.4849896403825282,0.5412607087493719,0.6382319000665453,0.7210885008466584,0.8215983114387432,0.6638896763671992,0.575981085256336,0.5020344388963275,0.43390198468918295,0.4130128986154452,0.4085461425615047,0.5144156016808236,0.47936547943639674,0.5522508517781186,0.520415595764919,0.4547436600055879,0.455613684751688,0.46953666102445185,0.42886398627335853,0.45381793816353416,0.5172854737699326,0.7815751376519742,0.5419357783381888,0.5230674989311924,0.5894698857705848,0.946836221046453,1.1530112874027811,1.2312811655078988,0.8193755585724651,1.6527211298748672,1.6845440509779088,1.387487542076144,1.9993041393911233,1.830996752044827,1.2873521759040634,1.377643957965858,1.2258161227378432,1.35591112206435,0.8177798758584399,1.4136244757563132,1.1144118061691963,0.9568682966847909,0.7824264465132504,1.1289255560729983,0.7744295661543416,0.6634156318767561,0.6546599405845781,0.7517596827829408,0.5599851269408059,0.744395787653393,0.7282380790345522,1.0084371542564092,1.233892199235389,0.9402952748886495,0.9472885875891588,0.6512282006499142,1.0812637078846496,0.5385342410892362,0.5428656396915722,0.510371051277202,0.49566940793254666,0.45688356393263896,0.5813071903570368,0.9285523088773202,0.5072468153945497,0.5165966008554547,0.46581945754942705,0.4763082739986439,0.5930505637524458,0.46244970341818387,0.5744727750696184,0.5349650047973902,0.6862467767264528,0.6604932886003981,0.5787705344813131,0.5516390209217839,0.6739393909491592,0.6527740037878157,0.5429904908477272,0.5495429423492502,0.7908324558972226,0.5354193165418862,0.650309672946825,0.48315010917384854,0.5576120355997825,0.5747296545521188,0.5401923910951613,0.7149365564361682,0.5027191665227386,0.5108321858843828,0.7203067680231439,0.4734944669414113,0.4289970936305948,0.36214777157745975,0.37158130026516467,0.4119700276499811,0.40680747516447735,0.49188064765415257,1.103005949034348,0.6297066621652359,0.4943269931014043,0.5201619600882159,0.464541698236862,0.5082775195252887,0.3925272360250865,0.3837967600447778,0.45403513039098714,0.42156479403044794,0.39194086093136055,0.4844595139729868,0.4777024455010805,0.4220095377033063,0.45609006592839424,0.42735891511469276,0.4870319304813625,0.5046701713542574,0.459993172486235,0.9363529596711254,0.774351000773296,1.3546004014597886,0.6283877490584653,1.5728653243738528,2.0715050584117547,0.8107026179498196,0.5628898285232811,0.46110512018356337,0.4280689044068897,0.4178385684173774,0.43376171649830786,0.382710571278926,0.42705403366531436,0.5067157717734505,0.5215153083759334,0.7538654337263552,1.4286618224204464,1.0767127345015928,0.6060252202997948,0.48656539762229306,0.5028437565821797,0.4340427085438345,0.479943803176381,0.4371228212389188,0.4177977505023821,0.49112192803695953,0.48733547589252213,0.5578957268008198,0.7491783916888681,0.7335390946453338,1.0259046644197194,1.2599266038544215,1.053955104116707,0.8031951235544474,0.5930049367427873,0.5176594880836879,0.45823205292293634,0.41989289850720257,0.4698654752365572,0.4908412229924075,0.6412673731190345,0.4620753468383515,0.46044316487598197,0.47762067114190804,0.47025482069779917,0.4801712227964305,0.5026111370578357,0.5116568842928155,0.6492243106010345,0.7212887938997122,0.8808745264929004,1.7731171780026518,1.1276919267211696,1.4280134255346637,1.0709772295424698,0.8585946877508375,0.708003912387068,0.5482173931823137,0.5241333463374729,0.5740362318677837,0.520036982619259,0.570124081000254,0.5462675738952274,0.6518903340081207,0.6407029727432402,0.5508271527451803,0.7199886099397897,0.7589477463359569,0.701381874669378,0.9672112716927768,0.8774126380086432,0.9053806704217899,0.8643470465594761,0.9215488364077604,1.0465271982571138,1.0422599348471737,0.9645232474398898,1.1313234364814944,1.2528398339891849,1.1364277613129368,1.2418484141743862,1.0270167819227196,1.1110335400422695,1.2317147755612923,1.6037579317803035,1.5555907150141919,1.8549689527300455,1.0998547515229984,0.9991313167535083,0.9340351343367593,0.8847817413142954,1.0587168690231528,0.8823899275209743,0.8896194561498961,1.028734986615843,1.208565355504705,0.8711179439540337,0.8430039879209255,1.2146671627727965,1.0906868117415816,1.003366778170789,0.7623666228535438,0.6520958482901866,0.653231047024047,0.7361237736034127,0.7663021874884255,0.980372437478041,0.7534587818421139,0.6560510805285878,0.8015574713363703,0.841412124211116,0.7472993046395056,0.7672716340521046,0.8926800222505344,0.9576199425178705,0.8581247657044182,0.9892969215718376,1.0822778240907023,1.12720151840252,1.1079246319790272,1.1618132912117505,1.097139457088935,1.0312913552282688,0.9132938205979564,0.9387712187013018,1.062407399773598,0.9465544289325949,0.9166783725723258,1.0096594395356007,1.0291958707232558,0.9354109536882839,1.0378656885912203,1.2491283446958479,1.0852004634838057,1.1417209506399801,1.1398022022612875,1.260834095221591,1.2339256337548115,1.1645270992239753,1.1734597497249215,1.2257624830833023,1.4341652550510615,1.088694611730805,0.9845833971903467,0.822465656595424,0.9683809595861623,0.9382283374190492,1.0665451426873434,1.1654727928568887,0.7552592846180206,0.5473222649653996,0.5095820649846398,0.9009256495246815,0.607716116238538,0.5105283447387433,0.6017948801404108,0.6623484473630109,0.5241822116306221,0.6532802768355888,0.7033828079855512,0.4873054058902902,0.5200321256566831,0.8212624371126857,0.8711398350242842,1.095891857751906,2.008961060182469,1.9867054605238714],[1.0152035118030998,0.8051390542066176,0.7258862577475365,0.4091300172475048,0.44158167953984034,0.3655572274292495,0.31299933027819443,0.36158904705250716,0.36263881605713044,0.3489151371044554,0.3832064507096363,0.46500302614333816,0.370415522922325,0.39100962823081087,0.4705211261482815,0.41565504456865043,0.4130786893283765,0.4798130860050898,0.5400230730251687,0.511035437419849,0.5671538365391946,0.66832678845476,0.7617029093555538,0.8913844956964088,0.701775139153574,0.6291907297676615,0.5402841051512054,0.44053143121018273,0.39557963336515284,0.3737592090181195,0.4763860542952081,0.4477318954652229,0.5206073948622766,0.48868573815705185,0.4214695642904647,0.4309765673436781,0.44113494096253114,0.43438699776725664,0.4570140663867408,0.5017193030470819,0.799906724528804,0.5778690419147151,0.5472632331537383,0.6191690193008887,0.9618831357178678,1.2092790981972419,1.257422145142924,0.880242651571034,1.7472163662815747,1.6842195495574948,1.406360263467393,1.9856425578823196,1.752544439506364,1.204767010207067,1.2670186535078043,1.0883331156936529,1.2649120720977955,0.724296410223285,1.2832302276031504,0.9937345937733899,0.9018582307409605,0.7490814860098368,1.0362722841501544,0.8552452834655664,0.75372971675344,0.6178183847006774,0.7911296187901816,0.5943155222207026,0.7915575972244762,0.7357782094411816,1.0323397294035936,1.2606370954943342,0.9512494741394188,0.9946722911877816,0.6725011624204457,1.1322283425512036,0.5737544269752687,0.5472767041030445,0.5019900415339862,0.5296035426127781,0.4596245958585103,0.5417854003847464,0.9371477401381434,0.4696135549663487,0.5118040975677429,0.44277321628166905,0.45628530194169453,0.552350981743118,0.46867725401766075,0.546007369002182,0.5333918786149121,0.682317454250119,0.6435419650064752,0.5475751421632383,0.514906472136816,0.6452812277978105,0.6141368830861785,0.49604784164113447,0.506861371950059,0.7675957328105666,0.5065037511889002,0.6321023606817637,0.4421150664683911,0.5121967350487293,0.5168306820517422,0.48028341323100116,0.6650836922553909,0.5049725862151516,0.5052114476322714,0.7061739480258432,0.42386943061426036,0.39168255409239355,0.3293613791822956,0.3630309604570394,0.39212582462083995,0.4064189776870193,0.5064194408083768,0.925009216647623,0.6226638206272396,0.5131759934561803,0.5308331418140889,0.46103985844323797,0.46898142255471653,0.3634592986149274,0.38076942028559096,0.49142850097712487,0.39810249051688995,0.37614517742444453,0.42943236222494346,0.44206186105470324,0.41804970942054154,0.44942348718524655,0.4188099348760487,0.4689436084224317,0.4608953965489289,0.4454643324005696,0.8663868075219581,0.7704081906258962,1.3281145598637634,0.6163255960359825,1.714201541450217,2.1884756303941395,0.871231583360285,0.62924886050271,0.4774839533957378,0.4165645527636997,0.4054940703919024,0.385821970851544,0.35059390544979774,0.38918705379433344,0.47795415755261206,0.5365018575080612,0.796996876778574,1.50570156489753,1.1185499502732976,0.5938544158919636,0.4498615306861347,0.4698583519153191,0.3881389658433207,0.4273196213866918,0.4215467071619711,0.39013448612317614,0.4608324656517267,0.4647488301078345,0.515647349356588,0.6729220486734083,0.6240210246561382,0.8993321389074861,1.1209368144938465,0.9347786225103094,0.6946051637402425,0.5165642114834099,0.4796767295301439,0.4306592594374336,0.3879493854448528,0.43678835321092396,0.4718475767989934,0.6013516911188013,0.427782664057008,0.421635364024735,0.45574583527003093,0.4399534753092942,0.45408202473335324,0.4705652342380823,0.48633397422061847,0.6479467679043764,0.7337755857593367,0.8555700307943426,1.8068584152220883,1.2206350328680518,1.3727563285870612,1.1942646816201334,0.8709038094469087,0.7001545112503699,0.6036295082852117,0.5721836967052057,0.5950369557037877,0.50564331513327,0.540292007003744,0.5175984327440791,0.5888275553815947,0.5948642519023335,0.5027043428368241,0.666702007848937,0.7221264073626334,0.686512342564604,0.9288443559914024,0.8432418882923809,0.9275784879330357,0.8782916885444558,0.9131224684110264,1.0797144465341981,1.1210025318400227,1.0027824453595366,1.1538908542427455,1.2396718352828104,1.1569192462775113,1.185009160901459,0.9882966012648974,1.1001362381842292,1.1990880829557895,1.622677121505992,1.530262053655837,1.864792295281526,1.070408611214848,0.9667611756210602,0.9007852299573239,0.8302716735950497,0.9888134759132327,0.8125794918290467,0.8239471279710745,0.9538708182274113,1.140130026973365,0.7961838931840614,0.7894148492378402,1.1477818396057116,1.0285060565449995,0.9824055818275267,0.7048776253146992,0.5945782120358437,0.6008638582387467,0.6911269971174613,0.7275841807670812,0.9715106537835608,0.7479973279986015,0.628685633804396,0.8088182294355994,0.880647572175446,0.7535778092852591,0.7807405848235892,0.9527154142064803,1.0271673965866714,0.9185645528586062,1.061853050294599,1.1900486798384544,1.2376097560165,1.2012443153406225,1.2569683356890917,1.1452386323871602,1.0649457892987433,0.9202292820805218,0.9341304722089453,1.0618934327651994,0.9313326292724695,0.8778872776402291,0.9672523653803945,0.9877205787009347,0.8727619240898007,0.9704595745746923,1.2012257099992676,1.0146961576749236,1.072805647837094,1.0758660235075712,1.2242726937847033,1.171715896694303,1.1079163482181549,1.1471082386300087,1.226406573768625,1.3745332698116295,1.052952438664715,0.9276935566858094,0.7736532719010103,0.9716026435465527,0.9713957239939307,1.1273236290615156,1.2997214893356095,0.7745540976799765,0.5740840253868464,0.48463693881577286,0.835097482271144,0.580571095944077,0.45897823413309596,0.6023896992809745,0.6856912376690248,0.47013546290102476,0.6514166603228932,0.6901321820469599,0.45698982116385484,0.5790786640581121,0.8128732278809366,0.7298962576736987,1.0961225184300596,1.9143591742737838,1.973244081430202],[1.1320069817711123,0.775440006858445,0.6894768933454538,0.37366782060614895,0.4280682523197366,0.3446538446058456,0.25657545455059527,0.32256170124056716,0.3102025276881038,0.2924660100801466,0.3503789558056832,0.43378895153932645,0.3282146378679589,0.3487655892652665,0.45060333791714324,0.3920775786745559,0.4015798030967945,0.48848117449952433,0.5713698425316084,0.5279360102308023,0.6242338212182204,0.7126705783681266,0.7947433721266275,0.9784455999355564,0.6947274083079584,0.6600022382901308,0.5520297064337807,0.4532212831155503,0.394370198916541,0.35788268567270093,0.48751914552889497,0.4405844257907769,0.5508188757660774,0.4993881695831435,0.4220444581550684,0.42495862096188464,0.4093427271169245,0.4259910019559666,0.43059905994843833,0.4523599920520902,0.7840955758082444,0.5798678634244163,0.5464682650387506,0.5851270135260018,0.9029378277683511,1.1693933590308794,1.1988640487409243,0.8725863466516461,1.7832802530611802,1.6395199364263668,1.4083952231918209,1.9654802604576844,1.705695550146579,1.1409344964869428,1.2242329476227882,1.0118853803651064,1.196111009313388,0.6921580529498786,1.2391442290845058,0.9154037748892877,0.8785928613458903,0.7689018385795922,1.00245100953583,0.9447475170084076,0.8198901669142148,0.6086618633421818,0.8518304315900092,0.6212245920573644,0.8303318805072041,0.756230148463675,1.052850716714631,1.3092754936028042,0.9846247635644244,1.0532601660699448,0.707413847135572,1.1965016552565702,0.618283497810007,0.5764459753232798,0.5161851326546857,0.5408928333728981,0.45421431564919496,0.5391466476242933,0.945852848330668,0.44048656602169134,0.48338279412189067,0.4185338745082623,0.43702995562694524,0.5158700866651537,0.477854067207198,0.5418541388549604,0.5533716564381185,0.7182478402498138,0.6661804307407184,0.5646290834653994,0.5159316803049289,0.661239574838159,0.6144271350426294,0.5069460141125567,0.5036999395577882,0.7885313411873762,0.5022289158833609,0.6258339940164892,0.4250129026127353,0.5060538142190975,0.48153405055086906,0.4494392809487154,0.6202331819403782,0.44898479443479744,0.4485974876737836,0.6778418959100934,0.363932763966685,0.3302701136961186,0.27776019780982425,0.3234275279727749,0.36559919155943865,0.3736181645769053,0.5058870395357952,0.7654768973982526,0.6230403050535406,0.5443820985831941,0.5386884591321277,0.4650529334023006,0.4511716207489204,0.3189627742306406,0.32670890967737964,0.449381451654875,0.3578712494769816,0.3460186466996904,0.3620125493753231,0.40055656421377017,0.39006125995575797,0.41681968599287217,0.37590400468063,0.4534857092245892,0.4205807898005157,0.4041998479999421,0.8240482406172508,0.7595453087497591,1.3650991093623308,0.5860364381833085,1.8223043422143121,2.197294031955532,0.8693509240564751,0.6516077959198947,0.4687193131781695,0.393414731622639,0.36855567343952333,0.3496152899558292,0.3016255218178372,0.3652287420763247,0.4614169567534157,0.5717179684234021,0.8596159753900242,1.5953855816412121,1.1778793174712265,0.6146981398048931,0.4410923621677097,0.4657428739612498,0.3565682242632424,0.39031524155047687,0.35987075023236936,0.36170218020146344,0.41215589134898784,0.414941412063667,0.4850300852042288,0.6195905370458811,0.5567469948629248,0.8121977488284385,1.0258132952310117,0.8708610019693326,0.6235139933104298,0.45549948971885146,0.429842134824294,0.3800082212027842,0.33556826594217604,0.4016221353731874,0.4237223037428155,0.5525505307958468,0.3899697919196117,0.371871410316839,0.3901065898398801,0.383286782393715,0.4010016349709999,0.41790258751029263,0.441484353538745,0.617581175647486,0.69059904365082,0.8482734961453009,1.7748119597457843,1.1942890630236247,1.359650890291984,1.220893432854092,0.8332822850825781,0.666637551482073,0.6079163010897112,0.5691936129967203,0.5991588085894543,0.48741239287217725,0.5198111273837526,0.49233797068918217,0.5700414060211558,0.5926533742249783,0.4907836004949091,0.6547095706722449,0.738190338999112,0.7204388499892697,0.9314187309849841,0.8622387863604006,0.9924764253922741,0.9312672800024212,0.9561509488718962,1.1517116382593569,1.2148992596170114,1.0800724760013372,1.2068412462829217,1.263389117830167,1.2203753885296906,1.1865180024007096,1.0060784658654311,1.1393030956585368,1.2113751350864488,1.6968185133029063,1.5430659919190628,1.9200223363727527,1.0945698993262887,0.9882554728916269,0.9162145666626531,0.8259117550272493,0.9716986089999211,0.7943890866520894,0.7987917385041161,0.9190807618854168,1.112399661837213,0.7483638893162308,0.7514808503418394,1.0823142419992946,0.99847275587467,0.9839703198780467,0.674572939734125,0.5717517131598778,0.5864739586504943,0.6921377519656232,0.7382153670632016,1.0060738761269141,0.7928657132783076,0.6513484607831855,0.85760236852329,0.9519124263770988,0.7913022836840482,0.8387738816477357,1.050840878789997,1.1257597730755065,1.010822655487098,1.1667397027284867,1.3157800566880598,1.357599096339242,1.317110303728623,1.375272727157071,1.2318038639549513,1.142418474277671,0.9773993245891957,0.9807053282829621,1.1072026711226086,0.9687192609331702,0.8951408628436262,0.9816168646246035,1.0024556665637339,0.8630734716660574,0.9525643946547362,1.1921082040118676,1.0015166698019484,1.0407720786444123,1.0482554970507871,1.209891013026326,1.1454965930131156,1.0800314157894966,1.1376890698157334,1.2354230866769351,1.3491821879893984,1.0449853711108026,0.9169549555295656,0.7678377161733334,0.9863138169499012,0.988737089637741,1.1440047788427137,1.3628713282310405,0.7890722910070145,0.5867015301869236,0.46554435233701436,0.7806645802309552,0.5541978583623621,0.4294538583018343,0.630244016032771,0.7473277720011968,0.4481629989833524,0.6701641107702326,0.7011354773852729,0.4546964696825844,0.6406492459876488,0.8030067031395066,0.6391730791777862,1.095096073493425,1.862227093512767,2.0555297552828047],[1.0773602726322848,0.7875467198962093,0.7220721741926459,0.3892187682700248,0.44138108466559034,0.3926707996176501,0.34208728942433914,0.37278445733855226,0.369366174472494,0.3642833054421399,0.4112301695148248,0.4725403374519573,0.39743633873511275,0.4224256585650681,0.5143474961635454,0.44598691453989153,0.467348472652705,0.5039740659952618,0.6144819653356329,0.5709233068767656,0.6849981238837878,0.7465228069777794,0.8743822097440956,1.0755090505374774,0.7728044400582355,0.7370648187620987,0.6235899178302342,0.4941059996068725,0.45974852544111094,0.4301589732429248,0.5440770246474141,0.48911500708375577,0.6222629027164455,0.5386007867653625,0.48365286122179807,0.4812127402982068,0.4557551294428007,0.4915909962470155,0.5043229692893316,0.5332787759751295,0.8456654029026626,0.6466120092304878,0.6194787091794236,0.6693044257172521,1.0386199231040136,1.2425066920554606,1.3398387448448659,0.9034102382541402,1.7001893330826625,1.5028052667489682,1.3366781302109474,1.9617406236570134,1.6814756373731716,1.175710913692749,1.2469013979181138,1.0701281155081432,1.2933792641847468,0.7645518738528717,1.2476021198286147,1.0099528595202822,0.9782483387906501,0.8401343814103982,0.9899627261498736,1.0047409946996453,0.9241485368738365,0.6904986149674864,0.891195729083823,0.6417030742627327,0.8389129646660122,0.7493330053761184,0.9930245482334729,1.238493597586546,0.939333804700391,1.0673224888140462,0.7027083935932082,1.2599041084580187,0.652413112589469,0.617649822143075,0.5595077157958832,0.5707250094413865,0.49551172704578134,0.5936752331681562,0.9542970983664542,0.48271804936691814,0.5519779123920397,0.47364984322821513,0.49706643701872066,0.5593401413245658,0.5283233112319516,0.5708612503651568,0.573272987262426,0.7958912366032745,0.7338855533077079,0.6317318687054219,0.570189517637014,0.713770624155737,0.6411618839963655,0.5647636062269852,0.5434520075312205,0.8446050048985185,0.5661192428367084,0.6686450047170633,0.4737287560491255,0.5504499804870334,0.5246900788366418,0.4863655713175001,0.5905152253903961,0.4860657422329454,0.4709615123198728,0.6848850253792357,0.39152532920904937,0.3738064595316217,0.3329703442044938,0.3492071254654792,0.39434454714742445,0.4189008425751071,0.5153321561225456,0.7783073810068328,0.7133656022617239,0.5811903370595012,0.5836568600977592,0.505781164334249,0.5138345555153442,0.37277952649412716,0.35030327486463914,0.4643761132551795,0.4097471267329931,0.40135856104819284,0.41091681577566813,0.4262923694865533,0.44239470728682445,0.46025456677854604,0.42535379722995365,0.46475477336600296,0.4603982657908812,0.45075155030647907,0.8526660144279723,0.7663349154960033,1.3864123232276664,0.5630895985650699,1.7456250354333054,2.177235999127738,0.8789320316228709,0.6636287297052264,0.5063606998710637,0.42883129496998906,0.3982997455416726,0.4031150649643402,0.35802848311655,0.42383612047780184,0.5123086380356555,0.6393967231548886,0.8944835075386977,1.651336868507493,1.2812179517119249,0.6656451475832753,0.5053357607174277,0.5310667328220725,0.41715777710358093,0.44311455446357656,0.4150846919699927,0.42657554625652705,0.475289584415892,0.4706342297791524,0.5427059377133356,0.673554850207123,0.6127827202566686,0.8699424571733008,1.066459812011304,0.9273902437387889,0.6686961558758957,0.5035604470353024,0.48681836156679914,0.43010778596709076,0.38596971537587055,0.4454778027216369,0.4664095586065125,0.5761905882556612,0.4407080466506724,0.41655232556551286,0.43111266234099854,0.42230852886616554,0.43643268703428956,0.465375407797849,0.5040682795947624,0.6843760927320457,0.7561551163749825,0.9572104368280774,1.8591850304861763,1.2692821653282558,1.4146744802738502,1.358865589038304,0.9032307351449683,0.724667320766342,0.6652717384373515,0.639993328380964,0.636958196065545,0.5371242481909523,0.5534660588655925,0.5115455378660225,0.5582645254466676,0.5783273328499542,0.4978247798773924,0.6398217296090607,0.7140005266557858,0.7269181642684761,0.91807598395219,0.8318983442094136,0.9735363283973097,0.9301591571512491,0.934299192181461,1.116162583976621,1.204556508668717,1.0740338436042276,1.177068652469955,1.2396205538221052,1.1646424932501178,1.1276205455282151,0.9526930785108471,1.076708489065081,1.1366638116445884,1.6430785117225826,1.4567351915486961,1.865598876351028,1.0533579074829313,0.9418347659813778,0.9006609664392984,0.7963113447400016,0.9225215155625214,0.7658549126513345,0.7795945054806068,0.8865115167010676,1.0699851916679992,0.721420161930228,0.765263488063307,1.062676435270543,0.9767152685101221,1.024090119384242,0.6751312344698794,0.5856643747741579,0.5901794358905764,0.6826130294774575,0.7259315221161926,0.9769973752822348,0.8020693856239298,0.6572060138753898,0.8469418228711831,0.9750946158027056,0.8083080492803782,0.8443039404005668,1.0668506417494783,1.1586309175270035,1.0232439877312298,1.1521146581359125,1.318433653793982,1.3715656687198698,1.296828777031485,1.3411610192574188,1.1861906962754012,1.0955661494609676,0.9425836203104199,0.9292900591329918,1.0509514131110156,0.9257295826919261,0.8479552550526123,0.9228565232783549,0.9508164714170639,0.8238541232410269,0.9012989254585426,1.1602151533590273,0.9642488183599411,1.0126566872162053,1.0219639164487213,1.2104002086964847,1.138697119278328,1.0764886479519542,1.1605633229291923,1.256073170908848,1.3045226499834552,1.0239053032797005,0.8843347962423123,0.7659848198917846,0.9349524358791825,0.9645871513379701,1.1544702388056551,1.404916177921335,0.8278616396818491,0.5937136894960744,0.49810188877281875,0.8161230491924839,0.62077859579442,0.4768701229665219,0.6670846768043804,0.8208013161586855,0.5075895931059471,0.7172166048612253,0.7219192364003401,0.5107918603835917,0.7269691797272183,0.816293969428028,0.5910664796965467,1.0139609763019675,1.689926103255581,2.0384504109649364],[1.2808492389058013,0.7301585476936423,0.6915634842771736,0.4002684788524082,0.4679536839613097,0.4098068256278552,0.3373362821523321,0.3794335152734042,0.3675807185348325,0.35524830609831964,0.41012531052092616,0.486548003459119,0.3857911134584328,0.4010062647507146,0.4885790265170691,0.44803910946115794,0.48707818990948204,0.5692391663326232,0.684969157922294,0.6305029225579827,0.7648448708033063,0.81446351130054,0.9225682034566306,1.1540787093198122,0.7779977126499394,0.7797232464968985,0.6570492731559885,0.5495973150726213,0.48880437701876345,0.43473541535722793,0.5722752248010171,0.49123715932866857,0.6411386628398215,0.5776262569812792,0.5006483388870141,0.5107858871239358,0.4570637615461884,0.49564510490933866,0.49430746418725874,0.4919962978689342,0.8433613380581838,0.6460087790361068,0.6184567466030686,0.6209636620441646,0.9202023995106502,1.1870284934677224,1.1842392528635066,0.9448477471509688,1.8541642098916329,1.5949828955908751,1.4713557756672406,2.0187069191276494,1.7199592431645665,1.2171500341827408,1.267307122288973,1.0033674709852738,1.1993554844189434,0.7321008741064153,1.1863010802301797,0.8922693673613902,0.8990972280305899,0.8645475395297232,0.9897428951836872,1.0976149634622046,0.9605638678281341,0.6930663057173125,0.9734947178011518,0.7218471396598679,0.925470189992025,0.8272940180150842,1.1065954098837754,1.3977947408095244,1.0573635418447127,1.1486305780429298,0.7973345059697128,1.319183902628039,0.73973423816893,0.6826677098809774,0.6175332949989403,0.6369933757001345,0.5413924222681833,0.5868044633191548,1.0162270202610184,0.4969716054847671,0.5231789655893692,0.467576165107822,0.49142051904432477,0.5588711884127007,0.5765263297423088,0.6208650897397325,0.642272645895702,0.816179392264114,0.7564768705407005,0.6526771978827456,0.5815385351936745,0.7268892767590189,0.6446375850857191,0.5634983825103733,0.5357608876105393,0.8491558258617123,0.5433615729623836,0.6531331668748253,0.45602877576995515,0.5057783187214623,0.4947427673110531,0.4584581435528105,0.6014910345962736,0.5016937501324725,0.4963292935101372,0.6984224889419071,0.37716619650455524,0.36625347923354523,0.33405277895456287,0.3901091487383046,0.43027955032759574,0.44991192682370407,0.5763820987853993,0.6956579562554526,0.7239187751880799,0.6593552368270448,0.6450745218186036,0.5545389762245071,0.5209646198983551,0.3728698770190127,0.3938309705591341,0.5069619541013756,0.3889708705408618,0.4152679965892234,0.38685981169827555,0.43360974795653656,0.4264226470582137,0.44638881163749755,0.4023700319206321,0.48189868964289306,0.43725089251696203,0.4317503969510259,0.8179163987872092,0.794255414700596,1.4470780655359667,0.6044190198686312,1.9915439633245537,2.151827190857142,0.9044482110681399,0.7612532339414293,0.5710637268693908,0.4642558133368944,0.4257780596439551,0.38990448107839515,0.3372271436414933,0.40553918531553795,0.51086889249104,0.6678330029506278,0.9514103518580641,1.7149173927139092,1.3066750750635205,0.6838519203383632,0.49741023059530615,0.5168182484274786,0.3930736208536762,0.40975371338583255,0.3962915907200772,0.42114340031095093,0.44380788383830533,0.434683845875514,0.5508695898754059,0.6456368283133241,0.5678228405073749,0.7990959237963993,0.9673832965154009,0.8888441933295684,0.6176259429555346,0.48738284292785217,0.4636460928475405,0.3988341771703841,0.3657320082624647,0.4170415487922716,0.4469550443310184,0.5607979603753075,0.4305294065671825,0.4100674008173286,0.392881682196751,0.39203465109518415,0.39819080760916037,0.4296281060535313,0.47919798799469737,0.6490637732046435,0.7046253321355878,0.8988908972569598,1.7917936039199454,1.2188226877575288,1.4039926699805205,1.3609208363453473,0.8515551807760504,0.6850766135613686,0.6432414542826337,0.617581569063931,0.6350257338032245,0.5121963135616798,0.5274273343869474,0.48346053251908233,0.5439378330718408,0.5797224020845475,0.4906870106547351,0.6348318299347745,0.7251714537766683,0.7455908200481229,0.9297470720357781,0.8385871468516073,1.0177706772353685,0.9562921522785455,0.959058262195173,1.1614610220885184,1.2639437672771163,1.1473810236686786,1.204569175211294,1.2416825289168192,1.217289241452184,1.1225382648185145,0.9670679287791482,1.0981883736385984,1.1248529381015813,1.7535047586292551,1.4763431868454564,1.956573099760127,1.0580086507716566,0.9485509871966062,0.8824237165975302,0.7763934506726322,0.8819471173631136,0.7176761727784471,0.7612436383525987,0.8313140468797166,1.0210252172114243,0.681785958395122,0.7756057577306341,0.9609635401353234,0.9380188942117331,1.0207435223329697,0.6490391093528736,0.5568685291464248,0.5680898822865491,0.6797449780506762,0.7282940214278647,1.0132335336743847,0.8282363939260297,0.6596464918279871,0.8790888668722716,1.0264676673757822,0.8254288342435157,0.8793720238293777,1.1258370468066659,1.2155310180012189,1.0789682902372042,1.2192705044675258,1.3949381789023019,1.4418027103275712,1.375819756189386,1.421249017431294,1.2475583734871716,1.1512987540145718,0.9820760222994314,0.9662617922721942,1.0793540557627122,0.9486391412744374,0.8572178204065665,0.9220186006542148,0.9511465478028976,0.7974133309790015,0.8658589417812229,1.1172002763006688,0.932932529790243,0.9415875563355958,0.9690681751119076,1.1494858107044033,1.0886330103354236,1.0325420703635482,1.1275348667865381,1.2738512313913997,1.258862096347019,1.0241507244882995,0.8827783654245004,0.7600738893207887,1.0132373688920135,1.0003579550452086,1.1557287281343402,1.4395630978624805,0.8390444258459475,0.631710854775708,0.4788799678538809,0.7179577290641861,0.5547512828517639,0.47489048045843124,0.6956425237731223,0.8842066806052314,0.5055351719751519,0.7106757212197816,0.7212175194614135,0.5276841093440818,0.7295361945209047,0.8141891408688551,0.5928474662790385,0.9828416706487707,1.587652756380033,2.1587549055181663],[1.2158058944744161,0.8178335092799487,0.7464853369056734,0.47869167258841966,0.5482993058507964,0.5114655951487431,0.4839217280341801,0.5060161360955548,0.5087600445984971,0.5692396209434254,0.6169041886254772,0.6843874829011503,0.6241079487852609,0.6521708793885276,0.7241729497798876,0.6797813049099097,0.732702674428125,0.7562077909930456,0.8543274783506957,0.8131675430181072,0.9045321964562071,0.9230122807226316,1.0593919952034023,1.2178455127243264,0.9835832230763156,0.9452133554535621,0.8326298776451202,0.7235173136677654,0.7045634333541251,0.6729222206594266,0.8010828213344806,0.7192893769089834,0.8756050358262664,0.8052384321490476,0.7358583318736757,0.7270611257023577,0.680473753065247,0.7218361156865658,0.7247830280385299,0.7450885689020824,0.969296921503073,0.8608493059015445,0.8257425888066408,0.8666833773883531,1.3184873823487049,1.4523917293962212,1.6085491641117764,1.0909851200014862,1.7143510005214553,1.4970840036470532,1.408618931458451,2.059347538964534,1.7748774242965462,1.3140562726988176,1.3234808633535375,1.1794374960480785,1.4302400569893223,0.9128299459233826,1.2784681217819396,1.1411245167425172,1.1570630639841422,1.0412860239808606,1.103947522705863,1.196473962596977,1.1317116318879807,0.8902620620572516,1.0873822385145775,0.8709165643269041,1.0125012229463146,0.9151478388935328,1.099404657003699,1.3661563291905738,1.0933280424423224,1.2080449877778832,0.8902726683936567,1.4448347168124849,0.8806060981737498,0.8856002202712613,0.8139661515793278,0.7751296722740159,0.7384173065821898,0.7962300069749847,1.0828319034408302,0.685739300637383,0.7369236763626997,0.6820309137233189,0.7215537234417534,0.798007807019894,0.7600474175090951,0.8383216993218692,0.8478328333749088,1.037024559659095,0.9806364634530406,0.8968490144453238,0.8076719513324288,0.9402324768959213,0.8425585686881215,0.7914229564626809,0.7367301264567251,0.931810207686847,0.7331875433614216,0.8134120390462762,0.6394491359267647,0.6754039662537267,0.6502784272966334,0.5860844518861599,0.6625518742220347,0.5441616374207615,0.5318402651514295,0.7618553223522437,0.47944508360714966,0.5024239464192283,0.5079266215452326,0.5524011429596091,0.6170141790873901,0.6632565978358061,0.7123264729484934,1.023695179946296,1.0005653083177872,0.8360386761892864,0.8288728204733944,0.7341096599132789,0.7981290833942097,0.6297426513794612,0.5394190754043137,0.5626228082956083,0.530500695318757,0.5207828001375533,0.5197769513533624,0.5229046387145522,0.5328635971097043,0.5291622726680131,0.5576570929058987,0.582162989056605,0.6155010451247448,0.5995165151910555,1.0316308296415366,0.900374392194288,1.617073237132927,0.7391561709932987,1.707276972062266,2.05628623382199,0.9567783625382323,0.7599274031340348,0.708684163691303,0.6936169817303031,0.645561748519711,0.6313277960802752,0.5666100573844118,0.6124910174726451,0.616081931457484,0.774065982715219,1.048355741741465,1.733199333595302,1.3358110113602466,0.8122903435180175,0.6636137691768904,0.6700658887294085,0.6015998291007665,0.6202470186524954,0.6104925757240459,0.6560903721423678,0.7079738949468226,0.6972804066591611,0.7953530896712976,0.9061519966192385,0.8327526650575603,1.0412336590517908,1.2008179452522312,1.1089329590882921,0.8620798091941106,0.726740773690085,0.701712323495551,0.6312536696388783,0.5936930024393405,0.6315764840932007,0.6519704319470914,0.7191283625388171,0.6417382984018316,0.5874321782455793,0.6407035064776799,0.5969954939371098,0.612752234272465,0.6604176686170253,0.7164156500950184,0.9089569893120336,0.9406040838250109,1.1370993834253054,1.9229074717401473,1.2944802878494621,1.655038807012571,1.4212422325717624,1.0029244474977892,0.8204796363829218,0.761229806571178,0.7042039704548946,0.7244969830075806,0.6125285471011531,0.6212050695079757,0.5667104129696727,0.6269518926085923,0.641534390099606,0.5713157052800962,0.7147073642998443,0.7683730196899948,0.7763954083780868,0.9789593583716857,0.880809097240042,1.0058203317177763,0.9555295068940891,0.9651549898700885,1.1445102044199107,1.2145372237172716,1.086743952036031,1.1894841228294641,1.259313474308946,1.20657840175843,1.1870294916916277,1.0017549585365595,1.1206616160775003,1.1812947634021773,1.7238660093394578,1.5106697020530155,1.94099651548965,1.0951924103869806,0.9860612637665387,0.9227903537973053,0.8383701298520191,0.9446597709497077,0.7969493522062825,0.820463315227363,0.9211517264313657,1.1088764147190058,0.7767044516578803,0.8346943208263375,1.071759728736252,1.0226868006378818,1.0916297421931682,0.7376778828311085,0.6320600429534758,0.6498140076284865,0.7191418528163188,0.7697620103085451,1.0419056615479625,0.8566032333137835,0.7011738968980877,0.8830754631125488,1.02410707570049,0.8382993996233248,0.8769195674568493,1.094336637347717,1.1780253273687549,1.038988484298788,1.182002858646594,1.3470666399474645,1.3770190210599635,1.3222382207171857,1.3771495351095635,1.2296933696055885,1.1423396821395198,0.9859823959618333,0.9845171516067008,1.0950336710149293,0.9699512437977954,0.8982695257129142,0.9772746659534924,1.0052712814413987,0.883268678862277,0.9587348555479881,1.2045421787427477,1.0259678380187038,1.0586324280147734,1.0846244673058212,1.2620158782131445,1.196535276026739,1.1190078656968128,1.1959397338362787,1.2673912656560133,1.3548912160826068,1.0693236962191328,0.9460067461037784,0.8094968382516585,0.9884655085641979,0.9980754341805536,1.166940303263408,1.4032472859292173,0.8620665701509111,0.645523612854569,0.5671443975976725,0.8812769650410244,0.6530121102749104,0.5318540270326677,0.7105216369695695,0.8931234444975555,0.563113104302161,0.70349411122732,0.703817409150907,0.5444807207691322,0.7218240139534311,0.7380167422183641,0.7450644570193263,1.2219292271411792,1.9372151423369495,2.3885926572887306],[1.2522653989299593,0.8622132856636749,0.7569700233750413,0.421898935297447,0.48974930037508035,0.4217947828274504,0.33492676298242163,0.3868946080654757,0.3740208854457466,0.3853439259993869,0.43068363333755794,0.5121061115964164,0.40646450247470867,0.43348831008778627,0.5252994691289615,0.47510060493205986,0.5027319528122699,0.5859245099665934,0.6805115351974524,0.6328863489846906,0.7519753309861219,0.8013810554140837,0.9022133858394572,1.0995959500451287,0.7848284453023477,0.7698069312629401,0.651470570736832,0.5434144137717681,0.5049500187655378,0.4563255380667084,0.5995085166356228,0.5167292467530696,0.6634203828258899,0.6078640196193974,0.5209870526513289,0.5306561718128834,0.4856949178932608,0.5133905853664711,0.521568574931874,0.5284859765886901,0.8557387316267101,0.6630809519338553,0.6317631360730732,0.6623410000665148,0.9979504211320076,1.2298234144863778,1.268639348760241,0.9252815072358548,1.773948714512632,1.5785857389471043,1.418413938982797,2.0075604007928534,1.7168857785011824,1.2036162176526306,1.2523110042164523,1.036646778364955,1.2502990057444254,0.7420975557544691,1.221757399941688,0.9651149377273907,0.9509873215026801,0.88081060415219,1.049437678144659,1.0725263234275306,0.9496452979470841,0.7199779590917765,0.9605316044325536,0.7278949405796912,0.9188657255957192,0.8350285365140379,1.0927734412296943,1.3507195823355247,1.048382997021856,1.1568224216811072,0.8097338609015678,1.3108777387180695,0.744723167620298,0.700905871035115,0.62863383337678,0.638281381676173,0.5525076513442027,0.5961019490165467,1.0175919803589548,0.5072531035282971,0.5396761857110934,0.49023911376773815,0.5259224648060015,0.596245894946646,0.5884142678044735,0.6455114469372643,0.672630125483216,0.8299200139337642,0.776173984527035,0.680433209786571,0.6131469364431091,0.758723671398894,0.6820540134268422,0.5878481824728756,0.5565333281905088,0.8410862938801106,0.5593449713864501,0.6596914416096304,0.4707847200654983,0.523347754714428,0.5160212774050978,0.4649202753037408,0.6484485154345284,0.4706291924863211,0.475431200477976,0.6958103620059658,0.3841812491863951,0.3818884377009666,0.34830034860487996,0.38013959162081656,0.44332528508855024,0.4456645148331779,0.5674693098943304,0.7721816358935973,0.722218209518025,0.6454051588893278,0.6299271308260505,0.5560100570583718,0.529711753051052,0.3880745525818361,0.3851520605608009,0.48753972085924274,0.39712010653238544,0.39609162875718434,0.3883497092315706,0.4233586542211735,0.4345028212175916,0.45396601895189737,0.41748253016532977,0.4599181542109501,0.45108847106553907,0.43638517881214617,0.8538817027376888,0.7984878004562961,1.4128236516996655,0.6078158736438283,1.8287888092491975,2.1885389564147077,0.9025089907761895,0.7134004970480973,0.5410348583409209,0.45836759560639856,0.4284131115480387,0.40559751211909956,0.36374319905950864,0.411332877160929,0.4992091628438076,0.6264297305107833,0.9397791221017551,1.64688421306758,1.205941214799727,0.6507554077832904,0.4892404695334501,0.5057992090462814,0.4070812854646525,0.42271997482452367,0.41196651504424886,0.43102424146291823,0.4642351679621764,0.4523219148884593,0.5383873853696397,0.6677265747388471,0.6132846660961768,0.8716969409443605,1.0762431426750845,0.9361021099938535,0.6755754339158221,0.5097429883992687,0.49803775723223576,0.41896343692779714,0.37957604520997545,0.4375067279107166,0.4581054079668621,0.564630883494004,0.4413912767107736,0.4340850456525673,0.42672127489298695,0.40329539126888475,0.4284627035862341,0.4693618261867015,0.5003370788416673,0.6698933225075046,0.736830087635559,0.9189516872122409,1.8155748548211954,1.2438835334641716,1.4165980163958307,1.284809715198787,0.8682310174596113,0.6975047220698891,0.6520571399638002,0.6254022409814339,0.65140651526448,0.5287263021302528,0.5575203202445455,0.5225391842589373,0.6012242294933292,0.6202102958138959,0.515688309992937,0.6748350689421805,0.7640183665248642,0.743325766303051,0.933352188053003,0.8799674052951836,1.0233871708963183,0.9419863912274304,0.9734505151452927,1.1842726892420299,1.2283032697351577,1.0738887843435727,1.2327254264904113,1.2757210852334608,1.272120825912122,1.2377565972753635,1.0470672478788954,1.1909835365834438,1.2605548792252226,1.7431233393342669,1.6009192539708414,1.9867199174269847,1.143944518890539,1.0393577660549083,0.947039987772929,0.8606509952351753,0.9977037466998309,0.8249588501897654,0.8302878592865046,0.943968607158795,1.1380207249647671,0.7760436385050022,0.7706634260068848,1.088896759021685,0.9969249110726434,0.9998458591468266,0.6911065753071628,0.6194596593729929,0.6266096127817938,0.720252408792682,0.7697536637597773,1.07700882249902,0.8167399128350267,0.6787316122443914,0.89372892236507,0.9962668712378636,0.8034988101648101,0.8727614511819872,1.0942234642082969,1.1572320247801822,1.0359612357412196,1.211701137871573,1.3669639374956608,1.3868261372315567,1.361396530050878,1.4358745225377274,1.2899735519334712,1.2013046158581158,1.0242585419780295,1.039815634130286,1.1643326846472484,1.008060425449758,0.9371251159063039,1.026336014259814,1.042167996385634,0.8890648747669603,0.988068383364644,1.2375049538404141,1.0374936323564208,1.053254247134055,1.0815997379279096,1.2534300097229436,1.1804815278641785,1.1084195250001931,1.1724133782166586,1.2460661763127883,1.4019388182123553,1.0669949861200785,0.9399395329827913,0.7800825144872098,0.990340456342847,0.9990246510352828,1.152433774893635,1.3773591030877261,0.8158904893409994,0.6276812278704412,0.499605181358096,0.7722644782339652,0.5563997200677007,0.4625549767898356,0.6564102829173143,0.7985359410159208,0.4773228029514415,0.6646501216184737,0.6898149421694666,0.49857315343793485,0.6430131639559322,0.7711018375382618,0.8048674570382036,1.2906369523440138,2.1401006243876086,2.4099508136177135],[1.0546205117610752,0.8397577679606193,0.7705610806652823,0.4228731544686699,0.442101947586244,0.3759252413894848,0.33469706951595735,0.35661540674893005,0.37822581590208815,0.4103855102452797,0.4817175697033277,0.5397837964412068,0.46750708946034225,0.5080902865693474,0.607929655158024,0.5416798458363448,0.575812257103972,0.6330429071015693,0.7376205073867723,0.6911709428707731,0.8075050290106738,0.8432172491375257,0.9813365942045725,1.1567887906719332,0.8710465386243387,0.8313344944060375,0.7171790972604342,0.6081917299837062,0.5831639874895592,0.5193752802234147,0.6747688898819292,0.5778594431809975,0.7240783397286028,0.6880443768401889,0.5854972730515813,0.5869984112099385,0.5461662895972267,0.5785545587408172,0.5890670207417553,0.6062399919473976,0.9177098799261549,0.7556665911518079,0.7346899406182877,0.7683547436082975,1.1556722282881853,1.338227417065896,1.465943791023506,0.9989220015661239,1.7148232889272983,1.5499258758025147,1.3983745653340207,2.0423632851689972,1.8042071127152846,1.2741546722453259,1.3601157350174158,1.2151860590498178,1.415814370929464,0.921057217856001,1.3565991319169985,1.1533617481722669,1.103240902938336,0.9484136022855825,1.028269829129365,1.0921104840305766,1.053631307243002,0.8039689443059294,0.9971447999088592,0.7960394806735571,0.9673974794358035,0.8961493689195533,1.098820675514505,1.3550973133809998,1.0724262566657847,1.1823395942070758,0.8244807292045285,1.3488519330859057,0.7852080289478675,0.7702931338759369,0.6900183014985529,0.6715158066795177,0.6079003340453056,0.6470567725402091,1.0129506541951074,0.5133721050367601,0.5960231299151159,0.5279409171322331,0.5868952278447982,0.6638189428480079,0.6288113412338683,0.7071597236465761,0.7269233543454248,0.9467993269596913,0.8883122766063362,0.7790523993778322,0.7020885964843311,0.8539390491309203,0.7912056933458468,0.6739905199460096,0.621461338751696,0.8815673606793742,0.6114880689637308,0.6754993417773953,0.4967431793063398,0.5589723350846506,0.5001538283335533,0.468835898760761,0.6001376054467945,0.4803703935816811,0.4750161733810122,0.6631647797290864,0.3692464469816357,0.36261649325219525,0.3430878318345794,0.3845261958726901,0.4824938703043967,0.4996829291871108,0.6026745074424257,0.9046374843372347,0.8493526527550915,0.6974921436542127,0.7144244791550631,0.5946232563531881,0.6146049073556918,0.461542517715223,0.3911667372330307,0.48703364470928456,0.3963132058836662,0.39239493984259827,0.39361426614136924,0.4121145848432304,0.4430546267854408,0.456783777949229,0.4248333557132464,0.45699546277979036,0.46213410918647424,0.47094681492619545,0.8177148532838869,0.7665091947673625,1.3219387350169458,0.6181011308915391,1.6990133323273973,2.2434362754654247,0.9532558521855781,0.7200195697153717,0.5957529608648265,0.518386895124618,0.4788832607416135,0.46637864971982673,0.3941964956403289,0.44729254226518345,0.5002102191875448,0.6445023545320192,0.9178825156856595,1.6453790513859503,1.2611815563608682,0.683433603389947,0.5301699176014765,0.5281661072106926,0.45209236189626095,0.46787031840362797,0.4339150167449671,0.49126592448589723,0.5176311840721882,0.5244158313909077,0.5942145677482885,0.7239326665687175,0.6656084768417675,0.9455049958596586,1.1240611365550908,0.9599222241490615,0.6953966374233468,0.5512349772593836,0.530121083402078,0.4703118784449932,0.4192870059638273,0.4548435466303165,0.4859716391757414,0.5872458913377784,0.4614893159633386,0.4227013884851258,0.46564353547471454,0.43755713875708974,0.4625222278806075,0.48925317472227936,0.535839227185817,0.732367502355789,0.8029275781696966,1.0202591823615708,1.9053201680479492,1.3023198337079576,1.4411451959762354,1.3333622357782695,0.9415951322650408,0.7448450927052008,0.680432127908707,0.6734261896961085,0.6355136204534604,0.550767188037528,0.5612020122289479,0.5292719100264199,0.5545254631285041,0.5565082778266631,0.477967886515665,0.6292732965717815,0.6872036887220617,0.6698022142456301,0.8996736977307537,0.8122591284996805,0.9151573082359236,0.8587241800904767,0.8798225455632217,1.0659609902757354,1.1205911824424755,0.9644948216141034,1.133640852213019,1.2019540450366037,1.1500139983923778,1.1550720289972602,0.9633177851486936,1.0897988613818061,1.1900272260730538,1.6344093341716468,1.506272913083338,1.8202357263756634,1.0244264798355707,0.9237784886761753,0.8674584004878522,0.7863795039277708,0.9323978356938437,0.7651237269978931,0.787982836855141,0.9203113071832738,1.1139432587275857,0.7700734979853722,0.7768119779996931,1.1370242755253013,1.0181127416502418,1.0109551755448043,0.6977821883809423,0.5765290820036512,0.5692631821516483,0.6524696806011766,0.6797439045451775,0.9545683362547757,0.7456447231045182,0.6050377680029003,0.801792176917825,0.9114980101677028,0.7559874516897052,0.7824010803425786,0.9895646372492534,1.073559241574106,0.9413020976395381,1.09037750253119,1.2421484746790148,1.2740688466598453,1.2286750356936567,1.2965569671067876,1.1539155412677724,1.0735345055189414,0.9087681959743803,0.9127023016598119,1.0484906468734658,0.9015561466198193,0.840048236822727,0.9368813829312304,0.9579677236125349,0.8349818198907688,0.9398329208789445,1.1752257869885816,0.9895195777311724,1.0538025955975794,1.0699875072894873,1.252648886591443,1.1815747991779997,1.1264263151982707,1.2344273439549127,1.2940230945211673,1.4009696877056506,1.056420537063389,0.9054836144761195,0.7575125619841488,0.9307784659955984,0.9831106690506661,1.1923830451120432,1.3982309939935746,0.841027606410715,0.6241218019159874,0.5040000691901723,0.7913194565547992,0.5770489834222886,0.4340520199058041,0.6076950393485363,0.7663929770352348,0.4486090042379787,0.6420285140571235,0.6742263454196488,0.4616249111305233,0.6069951877676104,0.7768802825427069,0.7236162562636925,1.1671032808638073,2.0235622939621627,2.231943974893325],[0.9496237426377423,0.8101223369584009,0.7131877678798032,0.46655071465457004,0.48780455426906727,0.46754455116659754,0.4008113121819065,0.44525119021815,0.4081145123442537,0.3671321304461635,0.410260511641298,0.495420640382886,0.39216625358652163,0.3984865001960055,0.481796458360427,0.420735172776338,0.4180491855791466,0.4690762853592865,0.5383660622468216,0.5052807225915168,0.582620480597043,0.6699774482987976,0.7613081757451401,0.9266395802112403,0.72724222023714,0.6524319775189196,0.5472388635241597,0.4249051054937202,0.40648974305764557,0.4009145120511979,0.4814606347757773,0.4791130938808027,0.5719981880145028,0.5038159315742275,0.4457464022334787,0.4445140974659841,0.4736228261334397,0.449483456234298,0.47545548213374034,0.5356187072416893,0.8283684535782847,0.6052289693891139,0.5760012729038944,0.6511230505683582,1.0069942100852067,1.2038480180811046,1.3122726351445648,0.8465208733640808,1.6712696638711566,1.5958220004120438,1.3319215400058477,1.9252442889715202,1.6948856637851615,1.1772365030240388,1.2800359425562797,1.0963303174835528,1.2517553002056805,0.752539089380902,1.315892678017522,1.0079932065238129,0.9212963754104241,0.7534527254887277,1.0448617294989995,0.8712191102298751,0.780738359364041,0.6417072021002873,0.8175771577306254,0.5974267276256927,0.8068636623656258,0.734659983635043,1.0121158159646098,1.2669306501592112,0.9601171007295737,1.0376612630663453,0.6792900422779494,1.170526028856831,0.5862060582272126,0.5604762195109936,0.5101193532692359,0.5346039658086407,0.48351570757980544,0.5904530747748682,0.9337800504347366,0.5128156137909177,0.5789281731770938,0.48952440083842913,0.47537247906552327,0.5817936741282993,0.4806861092224076,0.5588384730128279,0.5445117791533124,0.711562931095707,0.6601570903268572,0.5641528419895525,0.5218388119926309,0.663310986010497,0.6177028869500792,0.5281980958094705,0.5463625741529227,0.831627682536253,0.5741631483554501,0.701016153750546,0.5240372963139386,0.6208458371797607,0.5958998547373202,0.588923086120968,0.7580197973238871,0.566075127598156,0.5767003061984237,0.8075561493155851,0.5473357148083288,0.46839686833189864,0.40784649244705123,0.38010241652491467,0.38317358793271933,0.4018279234561926,0.4687467885247488,0.9108368786703428,0.6289816770422133,0.49317379988509163,0.4962640567834484,0.44856079828513173,0.4553165028548762,0.3693957041187395,0.3685668400360771,0.48823344524423695,0.5220418538682872,0.48809223927452045,0.5661898099279188,0.5542856111427527,0.5261133227683478,0.5525340982615828,0.5451880905424067,0.5925695108185829,0.5915752579489613,0.5608075638733638,0.985526362021486,0.7705852041210891,1.3723912480600562,0.5735294441852106,1.5808020480481986,2.1248499810811956,0.8052995502076589,0.5522380642406113,0.4335387122504103,0.4152393764840837,0.3975876433331717,0.4182182971927777,0.41436092384815054,0.46358366777262805,0.5664344090489158,0.6171250687849965,0.879767605665702,1.5606663190453434,1.1616883282855266,0.6700924144934549,0.5246798523419441,0.5646522206106769,0.4483297516754806,0.5149201859324556,0.4792239044240047,0.42624102471004843,0.5243006697232315,0.524516182232143,0.5823061350690941,0.7365351780658993,0.7304595542971474,0.9914945608401634,1.2219002573716682,1.0239514034831556,0.8092456653916467,0.5967783417595929,0.5534600566598394,0.49823307851896587,0.4588990038215718,0.5102911977865295,0.5105711972350756,0.6491823370275603,0.4930418619536804,0.48078637816028,0.5348402656141085,0.5316512748039922,0.5461895633109425,0.5604988347343886,0.5613157176321425,0.7082884572481724,0.7822080981310355,0.9023142000500739,1.8405174135043956,1.2294600658379016,1.4404356259305262,1.2124449217415827,0.9366643809129473,0.7775359813589825,0.6625564006822451,0.6137262705587538,0.6503113590672365,0.6303254096196848,0.6684467004592666,0.6340060628590031,0.7688209864770439,0.7788750979630552,0.6706112634106953,0.8379562685447817,0.916882473034218,0.8711418626952921,1.065820026954655,1.0224138492163124,1.113868550653076,1.0496677542677761,1.079329267808715,1.260687416309895,1.2822018336040502,1.1286966646645933,1.3148702428038552,1.4139693836201472,1.3214561362482233,1.3923354225128661,1.1818245705729766,1.3095590594933144,1.41974088186431,1.7674299784848575,1.727274771157424,1.9692621549800968,1.260056084538827,1.1746039516895432,1.0986486639213422,1.0371063446733055,1.2002358879022428,0.9953221178623604,0.978353118644008,1.1176059754578267,1.2621720982810418,0.9245918017546146,0.9050947361603562,1.2829639432009616,1.1623452373336798,1.0530375242812857,0.8378766715117891,0.722985400068985,0.7611638493982772,0.8752394742581731,0.8929730441698002,1.147923898297231,0.9176897241702461,0.8167783933776197,1.0032025996010028,1.0446917383298895,0.9103339587790314,0.9703184024084327,1.1341350792163516,1.1866108211673387,1.1000272481358555,1.2541488759710997,1.3699676561208611,1.3831172453133118,1.3806941766683185,1.4562385077708029,1.3466335519757628,1.2767124500232914,1.1189777275111283,1.1486048513943372,1.2849381543479639,1.132428794585112,1.077236818588986,1.1784096945943323,1.1892013292988275,1.0578098980304813,1.176551931699613,1.396874093437207,1.2020412544929024,1.255652578224464,1.2654113642920273,1.3745914958147853,1.3252230059793149,1.2565187576888321,1.2777754506721306,1.3148307523938068,1.550283060109704,1.1707695909031708,1.0973763191929151,0.9421589420689289,1.000940984811925,0.9783421313066658,1.1195025169341728,1.2615997521332871,0.8355956040798311,0.6024128962410128,0.6083232208596955,0.9910514796969783,0.748699453927282,0.6226195389507216,0.7787775884399446,0.8058474524621226,0.6329487148046584,0.8166242530937321,0.836933426483155,0.6002111346496496,0.7138582149393183,0.934481155625083,0.7998601080057028,1.2137641140419047,2.209268197686558,2.20983816033118],[0.8214335405728153,0.8295980536348457,0.7797087822304775,0.4191693951355576,0.434113807280977,0.3863830899859442,0.341157216486614,0.37406063487567426,0.3806431442327069,0.35450078364532955,0.3908478641851234,0.467151380857517,0.37151033188725957,0.4080092059447365,0.5103800792035672,0.43725960871300973,0.4403732208637054,0.47398041242291133,0.5580135355960237,0.5188074302659555,0.5986301343403438,0.6968710005702673,0.8247412409573774,0.9667679798857168,0.7623150511436273,0.6785194920155848,0.5753988130346596,0.46205293175622375,0.4259250811608925,0.3983930174885535,0.4897662011255965,0.452143527811746,0.5411322969298924,0.4897656232283947,0.42849837226093557,0.4396794718877474,0.4466815748481297,0.46697601713625386,0.4881634562848237,0.5478749252719317,0.8456899470274457,0.6289773655630705,0.6103279261031845,0.6716147262478901,1.0404005054290242,1.249417342035863,1.3850832851523602,0.908756091286094,1.6846305067479033,1.5700937930239272,1.3381143423491464,1.982224268588935,1.7371010874022617,1.2178308465745908,1.312983080419937,1.1448818706750243,1.342853511617824,0.8213274474440804,1.296345525935986,1.0894691860786292,0.9832604543387674,0.7699324581667166,0.9277860997814626,0.9042945123786092,0.8724689444855193,0.6428567372135422,0.8146590834240983,0.5898987716987844,0.794360270146629,0.7155773510334332,0.9811053650514634,1.183059189281313,0.898296855952339,0.9955137676980088,0.6470755587544518,1.174097862367492,0.5744217642750572,0.5465039156557863,0.5050074921788705,0.5518149027585544,0.47214177832699034,0.5781508342140042,0.9219161970615545,0.4732658979060379,0.5545322501146058,0.46637979745648706,0.4773338316058479,0.541099129574777,0.48933287519228,0.5130691878784756,0.5205515690437842,0.7215440042139298,0.6898406876044686,0.569853488560446,0.5256958880714075,0.6631385245363853,0.6230134719235358,0.520382230406849,0.5165729365858537,0.7867324622782886,0.5220063573206665,0.6352542773533094,0.4618656276575219,0.5300163672382424,0.5182854412118478,0.4834009882533864,0.6005951463046768,0.5328879199476508,0.5137358126353465,0.6849627143421579,0.4186441115943265,0.381310359576004,0.3425112574729218,0.36814274992006885,0.40319742236944106,0.41425472773881417,0.5003648426620463,0.8687733292826885,0.6790873217276558,0.5352483411420925,0.5583746285882442,0.46997034613162136,0.48692509953791097,0.3615947904619584,0.3769631204442251,0.49947662550181365,0.40475130822641064,0.40388982088491876,0.4298413356440988,0.43293078946100866,0.46549136521923556,0.4844079263050765,0.45031635021734007,0.47525918517214577,0.45658389416433914,0.466119384397497,0.7929621507676159,0.7764150982652633,1.2341061599035978,0.5903223758714108,1.6279343944146154,2.3127863416665138,0.9409095347151568,0.651970226702758,0.5220068524348337,0.43225575339968286,0.4186391637160629,0.41137886240274407,0.3556610174772785,0.4162722870410085,0.4926603644578557,0.5833268483186682,0.7932780190704452,1.5374755588487268,1.1999972815092503,0.6113200577872764,0.46756287360133664,0.48789817254205126,0.41628020109652736,0.44106316591533784,0.4352174119041195,0.41756450313848753,0.48463374753827104,0.49373460655333257,0.5445214969569045,0.7107296511424882,0.6347228829799736,0.912981825868395,1.1071806906495494,0.9034365063656624,0.6623170583232678,0.5145814687550404,0.49915676440858187,0.4648515582202941,0.4074593674267814,0.4649792515005756,0.5034964633399807,0.6022372093231025,0.4308045428269907,0.4163353166411714,0.47123866250574076,0.44303565616482515,0.4651306950639329,0.4994359554532466,0.5289711198440209,0.7030520079724594,0.7808592677347507,0.9646308297441774,1.9007648016374694,1.3402852038360946,1.3820933002699545,1.3200781288803354,0.9175822067522442,0.7407918746527749,0.6995585576992585,0.6980672608410736,0.6493555958965211,0.5764878285593746,0.5859525307925513,0.5697403076472817,0.5703495320096282,0.5576895680276792,0.5018339563610116,0.6368530206295899,0.6820438664598646,0.6741235174419108,0.8919726292478881,0.8106319409871379,0.8849835494958803,0.8708526589299151,0.8878369633070038,1.0351321990108795,1.1041795832122092,0.9965847419580862,1.140412478704256,1.2307471323642438,1.07494161221271,1.112600602260665,0.9255839722564749,1.0229532398464334,1.1319969134367656,1.5268501942118877,1.4363290532228026,1.7144858022093743,1.005111459378976,0.897945279462269,0.862518939966356,0.7839352177640608,0.9427467768069976,0.7878763245316693,0.7707696870153783,0.9406282988614262,1.1159393751002504,0.7677700024890323,0.7770681005908939,1.1709965441043106,1.026906205140306,1.0383578251275882,0.7135456313792223,0.6097340225323526,0.5965373365243262,0.6546262666370305,0.6994475898555935,0.8810233941317605,0.7433340892965231,0.6169026512384804,0.7579571270649856,0.8463725440947187,0.7376481693109107,0.7478745939650667,0.9216390413735875,1.0184267680668007,0.9052821056872504,1.0220470790932397,1.1639252661096056,1.2413051438720886,1.1626903470500833,1.206589950602617,1.0771959433086538,0.992608302014292,0.8565363455776026,0.856942125691255,0.9901588991607991,0.8673495797591662,0.8052453502229139,0.9004795395087745,0.9311765421780882,0.8327124933173449,0.924681847838235,1.1973997181448972,0.9830560450308808,1.0582471894809742,1.0756910908534585,1.255222997482837,1.177654603105623,1.116138339245744,1.1878202564698086,1.2505192668385903,1.3002926343386634,1.0189702886531118,0.8926657219312168,0.797889918354098,0.8877223575982652,0.9408127181642424,1.1549695145702379,1.3919111461551619,0.8434835913064084,0.6000330784828727,0.5301500414363421,0.8226810492142766,0.6556014683412389,0.4730982222468344,0.6145546737147466,0.7219534242651241,0.4992764220220663,0.7039426073960342,0.7103443052859381,0.49955434405162397,0.6736242167642121,0.8666694198363522,0.6131940401808803,1.0141943048823723,1.630625692091778,1.796815944083501],[0.6803673876089424,0.8441835705292567,0.819633411740047,0.4512476627587771,0.45643918283259627,0.4548874339909089,0.38899404174443464,0.439701163246107,0.4308561909668709,0.3777729523681887,0.41693997842333214,0.5085198301248224,0.3886525626932828,0.4101428911500277,0.515254398205381,0.4440604796255664,0.44976618126589907,0.47023024265814234,0.5578600135088909,0.5118336865295056,0.606754494232464,0.7133154407841928,0.8516463305127132,0.9708519835836542,0.783649506851373,0.6828666903905867,0.5771411477958956,0.45865995773761725,0.425840210810996,0.40484874902644885,0.4908460508859095,0.47293515928222657,0.5578282915265418,0.499420909274144,0.44020082603447497,0.43638362239320916,0.4595731519429075,0.46739115776028245,0.4825175105619721,0.5567425315186463,0.8467962392839604,0.6253201491299998,0.6136023822360939,0.694265464787049,1.0838480139771267,1.2735603865158793,1.4391921767642164,0.9146910977107154,1.6368730079880047,1.5921118371172023,1.3371391228064748,1.9949600338466875,1.7673575615765362,1.2672920513173338,1.3756144207608676,1.2245441675403446,1.410630398922571,0.8887762567361902,1.3692213505908541,1.1700563638034225,1.0172651241494242,0.7672824398883606,0.9429153325151082,0.879471186130877,0.8650353407272853,0.6554838291597639,0.8038340731131487,0.5805616110380741,0.7749332079855275,0.7085672855672889,0.9580116307135836,1.155279617604651,0.8811970180788331,0.9789174977200655,0.6306726024272867,1.1591598803430898,0.5610576773420302,0.5357613041720939,0.4984760173088319,0.5363589887736868,0.46501251016002293,0.5786369875842441,0.9079621435405697,0.4919869824270482,0.5601602078342389,0.47204739847826227,0.47952873906446514,0.5598939411135363,0.4826266765887231,0.5292910724383791,0.5160547953264222,0.7150374890962207,0.6830763397916004,0.5772855466640975,0.5370079426930476,0.6719339394085664,0.6316852558560903,0.5430092944021776,0.550026306359429,0.8188390552107555,0.5654164696523272,0.696286331188613,0.5093373441254299,0.5742291095060299,0.562957461536889,0.5412067136765313,0.6836437838090313,0.5780781589797822,0.5776438839612554,0.7444333907784001,0.5200327285122062,0.4283332055621237,0.3883040031336144,0.36773543081218457,0.40577721863423094,0.4138043836372954,0.5043071237821094,0.952945544688232,0.6897589883916685,0.5178839650856715,0.5500285472300445,0.46723411374475865,0.5060894383053802,0.36447591930841744,0.3704821656834063,0.4924554106881554,0.45923992308548595,0.4284446972048766,0.48596950789079957,0.4671916055391389,0.47694127844719053,0.5049835073035924,0.453711958150952,0.48799476343418663,0.4616411597468793,0.4654174954197929,0.7790048101512493,0.7954950401511871,1.1416459814785296,0.5977573844101819,1.5052819239065762,2.339244756091636,0.9527026439609616,0.622372203657392,0.5109161086741713,0.43425800723403085,0.42343437888936636,0.4219179239870895,0.3811623105655845,0.4569719866899757,0.5474645611649733,0.6135020986733043,0.8281193947615851,1.5346080662592003,1.1863047895332515,0.6685259889044588,0.5201650941585579,0.5421826129825504,0.46038633012190844,0.48283913764309655,0.44103526174456426,0.4261530229312567,0.49897687252021883,0.5089546611200996,0.559859179265736,0.7418922168864589,0.6867703043735955,0.9976996487368681,1.1925822627248477,0.9333510898788784,0.6943402040311731,0.5325831897924345,0.5097584602295949,0.4812363235229406,0.4270133554908157,0.47641708475190847,0.5173624050439681,0.6273614055661728,0.4434582518651232,0.4427221468482434,0.48862786834704014,0.4666090900932163,0.4804317548802882,0.5140308398942216,0.5267721433792409,0.7008513775522465,0.788466348598787,0.9913487019887013,1.9244377448227223,1.3429264388747184,1.3625186100641058,1.2294670208695435,0.8889057302491042,0.7208416161229013,0.6732110594369374,0.6882494015428643,0.6257278746661776,0.6193912935162195,0.6507916684440478,0.6465669703440514,0.6885337920585392,0.6608636530453257,0.5966086797322867,0.7365011787282522,0.7842647188105111,0.7397638330732396,0.9574626768654825,0.9074249475712604,0.9464980653012962,0.9162763345877856,0.9527882121547395,1.0884413909544142,1.1068073310192874,0.9984521181358348,1.1925066867621037,1.2909496243525633,1.1357927108722603,1.2453078959948374,1.0430834034041192,1.1401601203568967,1.2953063292128204,1.566517011973474,1.5567807080568177,1.7041561679579134,1.1289090878453842,1.0363283226575526,0.9816827961922068,0.9270481826179561,1.1024173652979818,0.9227203448272274,0.8849276142416715,1.0797853123210408,1.22619575323345,0.880838309055532,0.8583714807344045,1.3107287364075935,1.1045102960611028,1.0437419801928147,0.7973119253341976,0.6919766175238139,0.6956775390253042,0.752338426332427,0.7829307120498412,0.9905728698911366,0.792704158641641,0.7085053008133967,0.8522442708665859,0.9018686323102297,0.8056057333717281,0.8255871987718162,0.9703242903697642,1.0463461639793459,0.9471005727855029,1.0816113968336303,1.1908000967656394,1.2257470368206769,1.1904048417886766,1.261586136137931,1.1561536432615962,1.0909006910109666,0.9503082020607693,0.9710778015517856,1.1246996830302134,0.9679378892750461,0.920507262775696,1.0404710390526442,1.0582584220958282,0.9523632701393774,1.0719842664211274,1.3220209287796207,1.1006410832392137,1.185078297742919,1.2298843497940453,1.3865490680485408,1.312944290542958,1.2504145872158223,1.2916701628933402,1.3046481326829427,1.4749853237202117,1.091905338084486,0.9965540136935779,0.9217211736213838,0.8944514357743459,0.9402750802602269,1.1539625352913068,1.3020955204502405,0.8623612212547657,0.6575760064700166,0.5945349700428204,0.8684344467480918,0.7169306098717828,0.592655765276384,0.6914266168584533,0.7444737395032711,0.6039962835141827,0.7728656642319295,0.8033658801251862,0.5668735408105977,0.6682045600869664,0.9799083316953647,0.8216989040348694,1.0970353157969208,1.996293133912031,2.0017647601869255],[0.7128618957124504,0.8575213036625418,0.8591080870178499,0.41229423387969527,0.434798164313148,0.4578637844502778,0.4078072256908929,0.46760286949110635,0.4422070712209644,0.39435149679402515,0.42607623332259165,0.5098830035647213,0.4065376673660562,0.4115206839936451,0.5049156848925426,0.4394556596054308,0.44436824854105555,0.47719361377809494,0.5677429767206452,0.5240736640480503,0.6097029336206513,0.6975151517408216,0.8364710760033043,0.9572289959170065,0.7673205035432142,0.6723823253962565,0.5685442065162754,0.4726628101541292,0.42749006997719274,0.4134538549312072,0.5055620765580124,0.4854406856311224,0.5674267315286737,0.5193425539551157,0.451024191120318,0.4385724564754029,0.4525636757473729,0.46386890672090536,0.46222626127984257,0.530043739197497,0.8138096507995227,0.6045657573532434,0.584901520692713,0.6831005800056277,1.078172608601171,1.2797662497443991,1.431393494981117,0.9157019291791211,1.6401770767868658,1.631564603695029,1.3797301742743882,2.055665274808972,1.8238484313646304,1.3273213758280562,1.3856558939788888,1.258801674921267,1.4579926076504444,0.8838677867245184,1.3805594876576752,1.2057891180088454,1.0329216453470054,0.7746167870140189,0.9861253490867551,0.8636675668201417,0.8384352402124253,0.6594415807247678,0.8127668511623587,0.5868244754060632,0.7772503429586382,0.7147297086659098,0.9662168253971238,1.1766735825562011,0.8899074537899752,0.9735883152734747,0.6376251285897694,1.1447050194400656,0.5586712914692867,0.5431222084864838,0.5038311744909145,0.5176616543670832,0.45869943829875476,0.568032901581458,0.8710151968409157,0.49708536451227037,0.5538676269056428,0.45303269868328067,0.4594579446379112,0.5786096643480368,0.4698642974493115,0.5518248507403616,0.5271712066085601,0.7280280915068678,0.6874956690126962,0.5889404319555874,0.5529514187985023,0.6932181719406028,0.6384093073230326,0.5628742608289278,0.5843275579239807,0.881804916416462,0.599314485238878,0.75260553455521,0.5313488479773805,0.6099061486038749,0.6091452757400212,0.5934703789898889,0.7552943289111326,0.5887671467961664,0.5910616482299333,0.7883072109975174,0.5609193498069673,0.4728964794952899,0.39912100464663264,0.36841844135271556,0.41265710031203195,0.42651834965058927,0.5258073754791787,0.9939628676997012,0.6851429934466701,0.5222040157541072,0.5531413004941367,0.4774234946717354,0.5263703744139848,0.38801396531120197,0.38559066062952374,0.5012985520779552,0.4767925744872252,0.42591328775739495,0.5137041010744001,0.49588855515882996,0.46903009847396365,0.5266903912235134,0.47862814708392704,0.5145632060398732,0.48813644958625313,0.4750737382547174,0.812806052689041,0.8222621083297924,1.119340415011599,0.6373594164482048,1.4887648540425005,2.342204529332361,0.9667746089465069,0.6339855475401229,0.5124343956836126,0.4380033445865633,0.4294157638733457,0.41656317202168375,0.3895581454779329,0.4577222936216714,0.5719325342220906,0.5989182225619593,0.819702149286225,1.5159607204354644,1.1872288339993586,0.7050368257575359,0.5564650718964944,0.5680356650646966,0.470059078824874,0.49505820540625445,0.4502831441176786,0.4317359925660616,0.5220636964377879,0.5248981137352507,0.5828785445364169,0.7716863204794189,0.7394398690696597,1.0752527458694439,1.2733150139308655,0.9918980245726321,0.7558456634677877,0.5724179789738718,0.5491523702756977,0.5000038362747895,0.4463544151675587,0.4855892389476622,0.5288087407147466,0.6213769926029603,0.4716097785945233,0.4717771453338877,0.5010653553165134,0.5015551061456756,0.5226246729482061,0.5515661212864987,0.5438845495923357,0.6796154336533535,0.7525530992842908,0.985988402943155,1.9068549775530284,1.3382564458407737,1.348090570875846,1.194875978669837,0.9137112610162359,0.7535265155765896,0.6523138056690856,0.6568767856817997,0.6004830806897458,0.6013839999044482,0.6407776494270191,0.637414296191181,0.7104572551291777,0.7067886687274375,0.6191645272404032,0.7585225229226633,0.8253501171492892,0.7676706738796011,0.9549699362128099,0.9277528187271198,0.9881790006003218,0.9316796596693823,0.969176850182948,1.116106922844975,1.1227450179423815,0.9951469199082845,1.2101234404597772,1.281758170015125,1.1775176555984501,1.2916878309122128,1.07987793237302,1.1877190901998964,1.3463350629906699,1.6169370722960041,1.6428316094885773,1.807822059028485,1.1950817507474527,1.0988760104283992,1.02779772372665,1.0022312047323876,1.1748231936923275,0.983828976645459,0.9753563637980424,1.1452819074370453,1.2763601609767476,0.9480789322865494,0.8957346530200774,1.3530132661031995,1.1128767692412522,1.0079327468312032,0.8024613115980372,0.7130319122644618,0.723122670912133,0.8163772500447805,0.8344648823408887,1.0433381707591567,0.8194742126518884,0.7427474942256996,0.9220960865678155,0.9418682972582737,0.8456996124968424,0.8720000998956956,1.011853273863366,1.0649738077465711,0.9666858476445807,1.1152158393851646,1.2215490151207327,1.2183756592706552,1.2198020844767494,1.307387044206178,1.2110133012284456,1.1561776604633802,1.0189075988922556,1.052563274343626,1.187784894414689,1.020928845415376,0.9927871108300543,1.0945893393491868,1.102432631582442,0.9981063864834245,1.1345036376005124,1.3544411919499288,1.1374797476760041,1.2162582536409192,1.2699862133020634,1.42124366860573,1.342608760974963,1.288209847309542,1.3240197158439295,1.3353689782887395,1.5356593797022313,1.0654767146701196,1.011227058252798,0.9484632334364202,0.8437184620814183,0.8783365660956692,1.0738496925495005,1.1884465239360114,0.8206215548810811,0.6446547869101878,0.5766430330012531,0.8812821755924659,0.721300595155091,0.6385053133509602,0.7323406894946174,0.7370136887525317,0.6525760068458625,0.8274224128866912,0.894870175078705,0.6027604563919692,0.6261581207951656,1.050534563860707,0.9086737023758445,1.146353964487232,2.185894929402407,2.196571184099324],[0.8029862857857988,0.844017102775178,0.820024496009135,0.4449830928451193,0.47713901785506496,0.5072757928155839,0.47158383856322156,0.5089842479117376,0.5041392516807794,0.47507005878280445,0.4989516292497871,0.5744053705369518,0.48108529436563613,0.48399647696486786,0.5426901071592545,0.5081732918598242,0.5149701813009755,0.5437800043518233,0.6038917014758448,0.5825608581961924,0.638070407618946,0.7212800596055498,0.8212711889407682,0.9454854336937489,0.7652723059797635,0.6837847668657362,0.602668972968998,0.5210591365964881,0.4839811768219413,0.4914592426176882,0.5820998566097801,0.5654437365371415,0.6310110024848631,0.5913471636527582,0.533444715322939,0.5240146642760606,0.5282223943836237,0.5339384223575342,0.5176456672863347,0.5718208314933257,0.8490659042574498,0.629626091660381,0.60293835368931,0.6865504443622148,1.062351420418577,1.2443715538641387,1.3547723620906218,0.926012078949232,1.6671706321006725,1.6714022028153979,1.4083261462419587,2.053782860575141,1.8436902594766928,1.3458332894202287,1.440850392162147,1.2885546565894963,1.4533458415081066,0.9060777940860023,1.4450236489974018,1.198586145568551,1.0067712658283,0.7853645368977533,1.099726595964447,0.8686045949866068,0.7802397409676853,0.6970999877413628,0.83412815691102,0.6486012148572009,0.8189796902771381,0.7697577743878261,1.0108939664719454,1.2205617945250318,0.9443802862354594,1.002335706971525,0.7033638844191344,1.1700322181975047,0.6092726372913364,0.6098608842148833,0.5796957722233537,0.5640705443338153,0.5266114207070448,0.6496955381708751,0.9018208158156044,0.5855637988754844,0.6216914572099523,0.5338670054143222,0.5347038043560212,0.6449374270603386,0.5405679509653926,0.6368564750392919,0.6042450875039499,0.7659122065303552,0.7348511761142024,0.6606524176886033,0.6339676058221914,0.7665161634116321,0.7136905240042781,0.6196022175777731,0.6388387767777934,0.8913406294218914,0.6385541777388175,0.7810904736748137,0.5916861812596297,0.6638500922484408,0.676535276900598,0.6495480218944957,0.8017253102431547,0.6294227867592791,0.6332557455091962,0.8276742399041751,0.6141792566034672,0.536570009911853,0.4698777508887071,0.4428562199279797,0.4968700026888309,0.49651637138358584,0.5712220050791839,1.0736643139139397,0.7003019067268236,0.5820701977916071,0.6029924920217081,0.5406025176617968,0.5778816513525926,0.46116011080194136,0.4649048758809661,0.5675049512704465,0.5366347778695022,0.5011015117015987,0.601465985021089,0.5793377651881897,0.5223140812738604,0.5657280385352017,0.5508133185944225,0.5908590243437233,0.5855399978884723,0.556963688342016,0.9475884633698418,0.8301831239705373,1.2241135722458067,0.6794140934178349,1.519975179263973,2.2291215418615176,0.919992411873406,0.6529405937702603,0.5593721969326703,0.5092477047912582,0.498521658612831,0.48958314612693926,0.47520310484440426,0.5200491068188677,0.6112849584133397,0.6070949897824603,0.7946915230087088,1.4821181749946033,1.1509460694816551,0.7124282564093897,0.5944229760645386,0.6045309168617121,0.5404659838545097,0.5706340523280058,0.5285255686271567,0.5058445519763912,0.597750782261841,0.5880981915891687,0.6384202236865165,0.8332445463254942,0.823952845486955,1.1323432480086795,1.3535480507857363,1.0948636827252762,0.8671714961698391,0.6607380379493545,0.6061000168762801,0.5750085427210496,0.5285845858132603,0.5557313032650769,0.6103663245361647,0.6803188415273683,0.5518658786235136,0.555982912870824,0.574555930917162,0.5844253763576633,0.5969778757598405,0.6033867027091901,0.5989429273118779,0.7289401887629726,0.7839558909053641,0.9806701757675548,1.893985023483103,1.2519910830373886,1.4148495752113175,1.1562369503446324,0.9641815990365451,0.8195307930053634,0.6559661118507542,0.6233813425916687,0.6125932111354668,0.6407605254029203,0.68991019971094,0.6560528769911135,0.7787695680269167,0.7766362547063571,0.6815382876598806,0.8398514033592871,0.8933805494291133,0.8251092911069837,1.0469857995859444,1.0027184617453722,1.0365173966542855,0.9744762296567238,1.0285169474586333,1.1614653750591812,1.132913948246053,1.0126510847366605,1.2468497891671748,1.3661159229434658,1.236102314034869,1.400179369904932,1.1761457713753534,1.263669328399464,1.4050722028980154,1.6849023379172936,1.7140820461313266,1.929916134323617,1.2737329531995945,1.1692051113129778,1.079982423570264,1.0676950754861005,1.2436257032582474,1.052392705615487,1.0447947980030166,1.2065017549226662,1.341141918605035,1.0124903091513684,0.9586238951530764,1.3909883516725492,1.187073561814151,1.0495015715624443,0.8608296181468015,0.7508296372640673,0.7859049369982135,0.8832225876825095,0.8784243380589135,1.1036631443603633,0.867724154715178,0.7943980406935154,0.9582007169155888,0.9777141513241457,0.8881727475119392,0.9168446939887412,1.0337239712325206,1.073595085215587,0.9863241780081625,1.137398755715766,1.217229140464068,1.2170590789614102,1.2378240511282925,1.3208226642510936,1.2509385014274519,1.1998601399192552,1.0758561584888844,1.1147101932030004,1.2427059987180373,1.0946628265415155,1.068199746494446,1.1722359274109946,1.179872346079257,1.0857219376615077,1.2118849888750438,1.4078219500695008,1.2224461199286631,1.2849999461094224,1.298783496111343,1.4143731451456132,1.3744140965855034,1.3147132671232435,1.3559898820197245,1.3562097123681238,1.6053610730008783,1.1542072101759853,1.1129525325548146,1.000542431091786,0.9251558663398881,0.9169581830715964,1.0674633886965685,1.1459420096742519,0.836363181201793,0.6433705959607066,0.6254029348847875,0.9971946474227847,0.7550896216593767,0.6621322535007489,0.7466151939682254,0.751114310166247,0.6782325252518883,0.8287313889237411,0.8808251480331644,0.6271324537055871,0.6078762618914743,0.9996813030341299,0.9517452751569413,1.1949123050365453,2.290400855800835,2.2482320836150276],[1.1434737964116328,0.7417084956141157,0.7672095132883803,0.6678820483665713,0.6862230606767735,0.9230702624921837,0.9108348880263426,1.0041876814509751,0.9101725874488001,0.8422251951204894,0.8841053903294175,0.9196304390521025,0.8710457349774302,0.8074728374500164,0.8738558860618093,0.828422332270963,0.7599664884161919,0.7009262009753714,0.6981199999402488,0.7393606482398855,0.7319120446671825,0.7767426327551499,0.8490503092527124,0.9780267068129589,0.890166647860259,0.8041525508845105,0.7760015646403581,0.6939740213748705,0.7484413493775619,0.8590463068502807,0.8093192315535643,0.9289739191109582,0.9999734577806518,0.9085277897107998,0.9068072566228583,0.8338570040098278,0.9295120970844153,0.8062164533640458,0.8181407626502106,0.8973528136860817,1.010171874704117,0.8287181668435961,0.8165977197280859,0.9045200127189137,1.217141747165108,1.2444321166803953,1.4241094603134803,0.9095168398433181,1.4973666065116298,1.5287294463305268,1.2499094433550095,1.8810513850861175,1.7680651963457188,1.3799270553520588,1.5777325687858352,1.4391608863993517,1.51649611694583,1.0986729056694229,1.7487514909715092,1.3469274537225837,1.1654735168403951,1.0153330938354388,1.495951285937171,0.9503085781567276,0.7594599480685761,0.9575061403350457,0.9044880540574443,0.7510125536061832,0.8738990838006612,0.809592957234912,1.0168686075083615,1.2662375909988675,0.9605732922587946,1.023384089098629,0.7385477952798468,1.1604655213427004,0.741699693254637,0.80383855356091,0.8385479763645964,0.7761119174802642,0.8573693559452884,1.0024581223622877,1.110396113862687,0.960378969676744,0.968092487006025,0.9170473820180688,0.8840360529653893,1.02829636186757,0.7929890598996266,0.9449451797917583,0.8330447985465615,0.8739829239810293,0.8583999292629005,0.8754841455415797,0.8597960336951352,0.928545305983019,0.8800635243799424,0.9660842999652579,1.0273367942478584,1.325247659846766,1.1170886976616738,1.2807129171014462,1.09292421986468,1.238562419268846,1.1937653148765819,1.1518121347376735,1.2586102727904016,0.9899239164429934,1.0084848454693194,1.3129294255649202,1.0930680462932432,0.9588218775216192,0.9082494418297996,0.7922131105184637,0.7604613071920725,0.7268233572905579,0.7134439771445665,1.2681231488417766,0.7907020691951963,0.6607605933880855,0.6510399968237964,0.7143777496003414,0.7907142928075132,0.7270454600466365,0.7316263725737207,0.7762927465068064,0.9701795465585156,0.9305517832823506,1.0968066083015933,1.0736333640954518,0.9215491069851057,0.9632634174757508,0.9470885902410555,1.0374483942586257,1.0111214499486874,0.94578345234491,1.34507195144069,0.9199672843766007,1.514021005628806,0.7264877269902459,1.3545571262142768,1.916038871962819,0.761189927872445,0.6162158974080388,0.6692226082775471,0.7677492413852446,0.7516132450510807,0.8573376441240435,0.9152634408848475,0.9759771249371446,1.1217314662927267,1.1341845266813035,1.3101261732610252,1.895621880351155,1.5712653170567963,1.2512960902241506,1.0973868960646895,1.1632830331364044,0.9918568642516784,1.0834427087002971,0.9401569364895205,0.8600604568811314,0.9086760676976203,0.9132196767110606,0.9190401761260074,1.0368402306895428,1.097848439475076,1.3011135528648887,1.558102944339775,1.3311052938626715,1.1822007935217602,0.9798824759903579,0.9499095112593882,0.949896575474302,0.9361493056511645,1.0141255963241347,0.986428825056657,1.1077673049100452,0.9726050418020706,0.9895321308387705,0.9900588387225432,1.0505663931218148,1.0236986663174952,0.977499792684012,0.9394453155475497,1.013953921227566,1.0388614840435972,1.1576723897478765,1.9311582680215673,1.2030075673987948,1.6972767195888532,1.2299542509087362,1.17930474722631,1.0970225214787006,0.9124022120232584,0.8583643750148113,0.921047966498454,1.0276523289045525,1.0906269237847515,1.087315392186481,1.3236004989730563,1.3929618717866303,1.2248240988617456,1.3681965134713017,1.506797448313159,1.4545492501166017,1.5483519635821528,1.5682708961330076,1.7219281565232984,1.6058130059430884,1.6042949160225681,1.8026435889253947,1.8242786674723226,1.591235610378167,1.7770006534942657,1.8316256913569315,1.796522270271794,1.82812848988572,1.6788145487961237,1.8284067561192228,1.9121850110125291,2.1965647594562117,2.227319950938376,2.438067693705389,1.8626877530861115,1.7870504810719998,1.6831425530336772,1.6616309836658738,1.795586674404583,1.584808356673748,1.5512135664975941,1.6495412257542563,1.7183981748957113,1.4283924841422246,1.3843790106068732,1.6701969330899955,1.5174763356257959,1.3393308842696057,1.268633890446343,1.2396685681267967,1.3174539808172572,1.4688292786135069,1.5073966368272909,1.7861245741147793,1.537674144597894,1.4373673329774588,1.6711507537970671,1.6803817505089862,1.5546382986591176,1.6184310966203177,1.7715629031876536,1.783747421386415,1.7022328322048008,1.8769561947819398,1.96773867659393,1.9176845866039638,1.9741973555913481,2.0720258303627666,1.966295690974085,1.92152331880262,1.7781353837790204,1.7947408143346277,1.8904189126291013,1.721910449128866,1.6789833703421506,1.7356456216735223,1.7148219275521608,1.580755162343368,1.67177650409045,1.763890172411885,1.6190635842031362,1.6466633431812132,1.6257208765789675,1.6341158677434615,1.6238410816491846,1.5630160164255988,1.5405918605532782,1.5019812618678647,1.8738763594552452,1.3935458350047232,1.5132856978328995,1.4156625978569768,1.1316008792492864,1.0603729578819066,1.130663277389147,1.1239467086189847,1.1048022285345223,0.8614850693836903,1.0362525740788926,1.4980683480905836,1.2106253166346992,1.192590456800851,1.3886313002437394,1.34311177741025,1.2165708367909729,1.4271921423975793,1.5516036076224309,1.1949272683001981,1.1686298775484572,1.6348113527369763,0.8508970826556225,1.18765312867205,2.358655595994498,2.400573658378304],[1.350239582987172,0.8330662609718398,0.9460971308718006,0.8976316484444633,0.8579131755664926,1.086994182202302,1.0649600818921028,1.1367303620617828,1.013659706383666,0.953961772491281,0.9768673503210562,0.9926766362631694,0.9843893377769268,0.8997228277111853,0.9270131197590568,0.9143669888584791,0.8594678493455266,0.7859448328452252,0.7395514854294863,0.8149580990702432,0.7793714445310792,0.8237554167535096,0.8612597226417973,0.9673702269085471,0.9412227814578952,0.8493235266984652,0.8497039682631568,0.7786072328134661,0.8546308202928454,0.9756418590379305,0.8820336809124036,1.0135659703770161,1.0580816005366556,0.9651193181443379,0.9996149997997837,0.9361330157643277,1.0478490552068114,0.9268221394120968,0.9561959062658578,1.0401357833490195,1.1334367566563137,0.9271265423798842,0.9246465780681238,1.0084206041708903,1.2787831049402996,1.2836238284640449,1.4403953603492816,0.9526027222603507,1.5393681520399491,1.5889614019839684,1.27233351884765,1.804813809941102,1.7286362113227518,1.3508878406177076,1.6038543620880241,1.4594073982375282,1.4791245743466053,1.1258337243466017,1.814025152158797,1.3465942203475454,1.1952569917766693,1.1280584351301568,1.6272429919759628,1.0564945730995758,0.7798006729938997,1.0224005256107118,0.9434334630699175,0.8240429619835387,0.9126669679843421,0.8612617794384622,1.0767891732918107,1.3806823129100707,1.0462508199946214,1.0798319290241647,0.8123407765097661,1.2292801699548013,0.8197586599382246,0.8845750587109938,0.9330863294561133,0.8840144502637742,0.9792201597162313,1.1226704904506588,1.2357680048382573,1.1205330187428921,1.119365249467801,1.063875306977376,1.0106330658636666,1.1417476245786606,0.8986125713887657,1.0182803938783582,0.9053330515891416,0.9120752851472959,0.893885507357811,0.9169913079296372,0.9054256861234538,0.9559953367120728,0.9231227942520079,1.013923014629001,1.0853654305103986,1.357962929278297,1.207319703983248,1.3956840669240174,1.231925279059237,1.4010634517846077,1.3759431900239532,1.3364132263645232,1.4592616481978593,1.224077138704535,1.23338586780348,1.4845120222262262,1.2806996598025937,1.1394364148960952,1.0778452779110148,0.9656405021656257,0.8668797713633717,0.8347797276816825,0.7704277143257642,1.3625586571311499,0.8446056209247063,0.7271695032456811,0.7120101825528736,0.7834691060665456,0.8566834919378452,0.8532914596366129,0.8807791083808726,0.9163891479319533,1.1761066749714124,1.1406146308346836,1.3301510338083484,1.3237236317292442,1.212058935512291,1.2401836549171497,1.2319003796673362,1.307089174020279,1.293303688250085,1.2028277276264117,1.6575547574864047,1.0588811025886737,1.7880927485573677,0.7843380797154034,1.2297572267601034,1.5762835379248452,0.6959439480055202,0.6474606033587474,0.7847004488878168,0.903756810813906,0.8767516616311075,0.994302817282412,1.0807570914348423,1.1240878624114978,1.2626731541902554,1.2543412728120251,1.4452315687611397,1.9261637875344713,1.590710178486873,1.3352037465576838,1.199150963909401,1.2971089760982542,1.1225930811812561,1.2627045577376352,1.1240439890510443,1.0135913497680384,1.0782525016611517,1.0800079454002283,1.1209695696056983,1.1961437991782715,1.309243550867686,1.4567567059531195,1.728384729034728,1.5362382751079227,1.4233745232588593,1.1989054733522322,1.1610003287676822,1.149858686576804,1.1235996643822141,1.1864920449874239,1.1250659094398618,1.2677840433196004,1.1475848178468886,1.1792547291324427,1.1940803950556975,1.2643396787824286,1.2595738475677365,1.2131416223145282,1.166266135168258,1.1961030430771504,1.1935408699698118,1.278863461287333,1.9815908416256776,1.2521935055796491,1.936756267909812,1.382249498164043,1.3794621130485103,1.3307627387331364,1.1763861261050417,1.1481681829254273,1.2497266385585923,1.3351231672400843,1.3935872281030084,1.3686901015199615,1.6262333290181357,1.6740786429675136,1.4928548126821621,1.6691831166981075,1.8071168330079006,1.7350947044729323,1.8360586435075035,1.86983582370374,2.0140731120760478,1.879682723010626,1.9011576488529833,2.1106722225522065,2.1014583461817176,1.8941264441942194,2.0571712217902345,2.110537536299942,2.133554525182835,2.1485968611055735,1.9978449307689259,2.1593367629765554,2.2325200103591563,2.5317239982869504,2.540727989816834,2.768134933272298,2.1758874197437477,2.098267227462288,1.9758905721957138,1.962528516749678,2.0896499460058595,1.8878998672179415,1.850275139260529,1.9376924389993524,2.000862771563601,1.7241063343814338,1.6794061950580759,1.904890632993337,1.829212916442983,1.6229929203961793,1.5773087099195782,1.5418756539658072,1.6257447284273898,1.7709916549466838,1.7945474992349948,2.0654444814753496,1.7888030993531914,1.7110037524658994,1.9342525673926694,1.917669027147409,1.7874453584866083,1.8871018690367842,2.0302041944019473,2.021311281455887,1.962394730851434,2.155730967434859,2.222312557473066,2.1693021282792926,2.264517864956682,2.3620097372918814,2.2664450464621413,2.21952101400907,2.07389739515093,2.107025512418904,2.1939897136311144,2.0314692530399574,1.9924992215213275,2.0614412511213525,2.039087600340418,1.895583636310228,1.9991228939245598,2.0776332035074936,1.9441768839069355,1.945854281499129,1.949284415254357,1.8958594899573722,1.9036374379253642,1.805811044287885,1.7712054279905642,1.683861656321124,2.118463354375517,1.6380098446336402,1.7927851880966617,1.631412383429835,1.3264280302591092,1.2577490201850101,1.28730712703074,1.232053907731396,1.361538262403364,1.040176092351807,1.309090647721403,1.736752643651648,1.3732213099307786,1.3986533454358838,1.5981637388519163,1.5374647328223998,1.3966292134141594,1.5853211284389468,1.675426755235731,1.331992303319204,1.3611366675576801,1.7033081403046535,0.8255641083789839,1.2524454789538186,2.494859668592131,2.5305142239522973],[1.5694443257716484,1.3510715571707734,1.1877827335122824,1.133025558382716,1.0765767715580739,1.0799723150065448,1.0165447866008235,1.083322889219326,1.0004916463880704,0.9445801005053557,1.0029520076941667,1.0882039366791465,0.9746366608932776,0.9232730625754372,1.0235327132704677,0.9791076966796735,0.9259955723928587,0.9457361017541612,0.9418844940863386,0.9607782268744494,0.9840833690044626,1.0540095167329437,1.03219045979601,1.1668388074100955,0.9587045495719356,0.9663519535740943,0.9516436137563669,0.9240690067189641,0.9473584204134214,0.9887348397863602,1.016730656101954,1.0699390802610127,1.1612584228922156,1.090679061368016,1.0586400714187882,1.0038323380836067,1.0573652123239559,0.9481311563984879,0.9737821087853233,1.036391826965751,1.156338663123032,0.9751888141889403,0.9674937207271974,1.0150134553549783,1.275915134845047,1.4197401739910873,1.4879482527679277,1.0831121673638044,1.7046376541281527,1.779321262569064,1.485259145379784,2.0301486364836845,1.921670305933783,1.452062887176201,1.6486534618035433,1.4560561652157986,1.52605834683838,1.143833686901152,1.7443045673608377,1.354884997463458,1.2021657970308974,1.183154622721233,1.5964940234892053,1.223678439497355,0.9483533033096819,1.0488082556693474,1.1255419309483814,1.0109837083482036,1.154406603188428,1.1476767782995387,1.3281947058273356,1.65290080518118,1.3799947152333714,1.3665807049643992,1.111079909456364,1.4344951633340013,1.0330489578057074,1.0760475552129085,1.060381362917552,0.9936189250748194,1.0101780121503527,1.1172041257936303,1.2707299275186332,1.132997759927215,1.0821133259243527,1.0455578956983274,1.0059212982396686,1.13127754591785,0.9789779164101914,1.1067109471942844,1.0818720937395374,1.1590452611408009,1.1399975510227667,1.13007913334916,1.0780655971824522,1.1837423136141563,1.1195438934415405,1.1386173716466175,1.1575012718663888,1.390236477429916,1.184591160028374,1.3386977510751557,1.170390671691817,1.3383985058261032,1.324523477832684,1.2552472485740485,1.4160133070367287,1.2560764798413004,1.2642819287743705,1.4214809031964621,1.2173490830587692,1.1010132135275588,1.0287526865168048,0.9792714785927304,0.9236686422368272,0.9117168817057729,0.9467752666652014,1.238559351763484,0.9450827511789587,0.8917183833528952,0.8701413041988044,0.8917889792116224,0.8924479897950937,0.9015703902992247,0.9123965470955395,1.025819995955238,1.1232525996201,1.1382162162179021,1.3233474848044993,1.3245918956320306,1.3124938266655914,1.3325828205310228,1.3226231469814977,1.3361454780014141,1.3121718614490816,1.224618715889851,1.6434675812667534,1.3780222271104645,1.6434483679618233,1.0957673914815558,1.8230814056292521,2.278201148511782,1.1324139049954591,0.9897672173247651,0.9317320045165975,0.9551561597251085,0.9493180431752591,0.991219395598517,1.0331181942294125,1.0653400728008378,1.1833419956433318,1.1907608203899689,1.3831003359989344,1.8887710686993069,1.545064497022453,1.2969561244608667,1.1632361192072835,1.2141998405740657,1.0754882912060542,1.1707190454366914,1.0945039291814356,1.0110311163926153,1.058420522721981,1.0642507399048575,1.1565919818283212,1.2653079562118006,1.4020014610684233,1.6465131661821133,1.9164252891049551,1.6717649902427905,1.4880666508207798,1.2465965636400465,1.1870276562579198,1.13546395544078,1.08506530863153,1.1449294007560726,1.0666363300142239,1.206234389933336,1.1259217037317188,1.1689618388622436,1.1686755867594814,1.210431307278751,1.2831393578881556,1.2922808951084799,1.226558782180218,1.221202063563573,1.1933070486523112,1.3521461826695058,1.9609483877717528,1.3883270551574998,1.9386884161434337,1.3934380502214196,1.438435783680007,1.4219687162037349,1.3246441395064281,1.4226669338945594,1.4862394773082206,1.5140209545253753,1.5900136575883121,1.4856302172903117,1.7674265202196227,1.7381932883809883,1.5462329051524188,1.8102725992723814,1.9211589673696337,1.7614188550318561,1.8814036034215051,2.0422681955620985,2.098220999419773,1.910226655769893,2.059811264975976,2.3108316369710247,2.1232673977446677,1.942304869577114,2.3526872381396426,2.397604371499172,2.543011276038024,2.58146212721182,2.3821039577680536,2.5461589345572033,2.676641438330249,2.844040101041638,3.0649508128506278,3.1815773365640623,2.456251029134098,2.3183493128361854,2.0905719655042927,2.1680959077753976,2.3061873540074185,2.1100661475000844,2.0750634217056882,2.207952016558949,2.2560326877667713,2.018114723818998,1.9858525245208285,2.1610272048334833,2.040876437170426,1.852440957879093,1.7836693574392677,1.6994192562039867,1.777976022904128,1.9092696127853495,1.898177401644249,2.150170550507434,1.7629186236794732,1.7435598071834966,1.9762042860472433,1.8847427718841332,1.739061150855262,1.906312068315225,2.019226173259067,1.9590315444510913,1.9424281854288656,2.2273095102673586,2.2448889313962317,2.1350989314930366,2.3670747390954205,2.524738697458181,2.4625527017871884,2.405829172150297,2.216574366145872,2.3179921023358134,2.4625826059928704,2.2482081450599973,2.2330444055066105,2.380379112296743,2.3638304771089396,2.153393947680574,2.3304051787422577,2.5262416739805533,2.279095474714566,2.1712441789249475,2.3234053960965535,2.337310135683741,2.3206556837625723,2.1833374597542905,2.3361981367551974,2.235955953904799,2.6057266234174894,2.106893479074937,2.0917652197547105,1.8228887441694699,1.7493250761533725,1.7232041238926088,1.823381512210466,1.7330215667215645,1.6773528177210701,1.3233341555460958,1.4509316692772922,1.6714266671693443,1.3593869449909863,1.346610476512181,1.5155559775955385,1.4126487438198903,1.3098645932391728,1.517119050753737,1.5621967011404145,1.2303865767034454,1.2086032928197943,1.6012476990337952,1.0996136072839682,1.5645188294386136,2.9389407718633054,2.844795240561708],[1.9090503457530505,1.7302869723012266,1.818030875112693,1.9035349836197983,1.8486381734548705,2.018794157818273,1.958103547321717,1.9983397557927618,1.8491005315736988,1.7913090162116159,1.7532530732708742,1.8047801991366486,1.8349007833602684,1.7064864432368365,1.7011427959672085,1.7564187781161877,1.7154374615591945,1.6734585389944436,1.6076780201847993,1.6824843490599937,1.6271462814582152,1.7059337532553316,1.7117659140505805,1.7320275879660898,1.7883093541729438,1.6937404379540746,1.7448147117063166,1.7193677156892335,1.793009365681753,1.8491194184926583,1.7056872234100444,1.8028488258510855,1.795725091367822,1.729289714109868,1.8255577441761794,1.7869357084334694,1.9211102970646614,1.8667835004678588,1.9107781505439831,2.0249949095488744,1.9672406278195531,1.8519243952657112,1.868820464526805,1.9837793652095193,2.1960953605191276,2.211929883739565,2.296793335524223,1.8289935998096511,2.1074953683981894,2.270449929691486,1.9434115503730982,2.3451083230469125,2.442968281305358,2.2484779210343024,2.4321480676935936,2.288339290192012,2.2307951917853233,2.042421269902961,2.53919548654918,2.172720322659502,2.0221834904338603,1.8482557090240468,2.242657693344273,1.6891557583922916,1.6243617475934147,1.819935546277183,1.6228901751633684,1.6085338144368928,1.6253128265988606,1.5981077420327492,1.7131299210552782,1.902464209035329,1.6920463662884313,1.6763234865968522,1.581685369714686,1.7699735708708546,1.6602793167322951,1.674649615198982,1.7760264431226296,1.783845081124435,1.9017789998428858,2.0167972563334,2.0707225692779945,2.062529019361583,2.0809721055262447,1.9944264441508095,1.9142170867677943,2.010852098128907,1.769899184572901,1.7315456213046805,1.6614938373766317,1.640294118787006,1.606991257905923,1.6659891017636184,1.678371956311335,1.641327280570386,1.6553749182214446,1.7606221534919413,1.8394585962083627,2.050812500905121,1.9653899181609857,2.2329811593392046,2.0818536248811976,2.2401554673471766,2.2904231922772484,2.2214383147509116,2.336949091335634,2.251686503060777,2.2475998661055816,2.334784936952034,2.2002321374971903,2.1004326273603717,1.998241073051574,1.9311143773866184,1.7924086978983562,1.7795931660293998,1.7056162321128503,2.252137697381061,1.6962900126602063,1.5843633765745104,1.560876444108783,1.6370010047857573,1.6814436052760289,1.7559589964361042,1.8108119681331878,1.9085966890895831,2.098820137261216,2.1353423167683396,2.354472687868625,2.3594091821932928,2.293828407595086,2.301583394694134,2.307784355533951,2.3284283899576406,2.340655717297825,2.2407271363998187,2.614899105230674,2.0956773866245055,2.4348484739041387,1.8635744954209936,2.0330182666911174,2.2447736803040472,1.7442988267989006,1.6996753303859051,1.806168644536214,1.8492475556222343,1.860568026365395,1.9155857698563916,2.003005179055388,2.0044671047139735,2.103633539270721,2.0458377587327936,2.1291617622932875,2.443789265202521,2.175787146387459,2.0707482968024236,1.9888852074259236,2.119491987185429,1.9875783027628922,2.168609057551982,2.0970105265430963,1.9941183117811672,2.071027477133288,2.0771373426132786,2.176524524880537,2.205247459484617,2.3732984312056864,2.519819595365785,2.7419973513194487,2.5324618644101786,2.455708184448498,2.2426247391823906,2.220030654448934,2.1371352562505446,2.0983472480128738,2.1537738536898665,2.027781123727329,2.203314204112264,2.11564293952006,2.1424568928313015,2.190006244132517,2.2295691795163233,2.277472688840851,2.2637375235782597,2.2144365099687326,2.1924111482031687,2.1378248436479463,2.215701167362573,2.686667810614981,2.1043117405914438,2.8509528476442085,2.292107339218352,2.356391212242996,2.3740341475386457,2.2714023229945384,2.3267794535742445,2.4322961280271302,2.4641983610970164,2.498224043608691,2.4396425486379925,2.6809296403353153,2.665600911858451,2.485087817138898,2.6909902125685057,2.7781682456151615,2.6431401714606526,2.7331861467693814,2.8359777245505504,2.866589998608118,2.729110161074046,2.814211436487629,2.977304733036698,2.8315117925348314,2.6839424062757997,2.939352867699481,3.0060382787417583,3.06044449523716,3.2018021692546306,3.0370535450672316,3.1332846083709263,3.237309060105121,3.3158224523367275,3.494267258311466,3.5703914728792654,3.127332234645519,3.0387598689030835,2.9130152812438324,2.9834079446277486,3.0862442864280815,2.9350960394219747,2.9186460191053683,3.027774108331139,3.0428921758608007,2.8374847611485037,2.8019805436095564,2.9988936830943316,2.9335749338382278,2.6983062363804278,2.6676942425492127,2.6289543240111284,2.704883745539782,2.792463290302132,2.797671542067438,2.991964607456978,2.6441793601918935,2.6518376006826667,2.790578852640206,2.692866317714626,2.628460737570786,2.7296542399367536,2.7457612099680095,2.665707296044151,2.6928357517478236,2.8976030487571305,2.8260483133223877,2.754134723302039,2.9775259595541796,3.069056181605185,3.086216531068155,3.0634622797180695,2.9647696625740387,3.0252937436587732,3.1068654358491443,2.989143401822787,2.995571941956639,3.073710030273664,3.0482957693355934,2.935836045193749,3.040523034594402,3.099199081754789,3.032877904723049,3.020704466233887,3.0439024005349213,2.9882625360379054,3.0079798562222635,2.8778254389923035,2.9040173131125293,2.781513073666558,3.159091166030821,2.641116220267049,2.8073041005758257,2.5721756774441173,2.2538342675333825,2.2638164959508043,2.312760472363911,2.2095378778864725,2.511349365904155,2.1040325486182865,2.3798603976097565,2.6284263488135227,2.2483430894305765,2.2856260470783054,2.4048937258866756,2.2839293925864883,2.2684795817674535,2.3818659556019663,2.480183229632808,2.1356175719187998,2.0922500301021127,2.489025148019797,1.840313824926175,2.170968851635368,3.2866490698601085,3.322687845161112],[1.377329003247317,1.2642661054435596,1.2246884639150954,1.1387724115081224,1.1447264041269805,1.1990636502223841,1.1432101374703223,1.1649697110156347,1.05526497175014,0.9952653264283812,0.9818465188832232,1.0788419388168424,1.0418950365728084,0.9418012164820383,0.9993915310717347,0.9938079110931803,0.9501970984035354,0.9183691940171629,0.8901933475235522,0.9828827882237353,0.9467456500530279,1.032196031604244,1.0609491675756038,1.1279497404319356,1.1823296107694088,1.045853308204648,1.0490962538867474,0.99092499940631,1.0288032494193589,1.0595949384881447,0.9573866260684936,1.0762710004646179,1.0987725367533543,1.0299609220899086,1.0954032474552147,1.0266054037544143,1.1576243459098465,1.0796564497871768,1.1134829926775167,1.2178406466701759,1.3230598961058213,1.1272314157405627,1.1353414928375394,1.2462646365630692,1.5181515736032969,1.5722620391428408,1.7371034053144572,1.077353873934579,1.5900204579918626,1.7830588482303196,1.3800906707097715,1.8982091652335562,1.9083311272170462,1.635852259339795,1.849862206948237,1.6495971863960615,1.6225495194914359,1.3763252925421492,1.9673660301692775,1.5276910151675707,1.3874033876693257,1.2039513274645592,1.6076555874000285,1.0815468195732123,0.9824195617253169,1.1204913463821837,1.023054279887073,0.9095599098146423,0.9711420640921801,0.9332317304483458,1.0985987096086607,1.385072498116863,1.0838972054566365,1.067471840963228,0.910944116457705,1.3060929363761054,0.9575656872882978,0.985166756751518,1.0469849828796145,1.0284333145869557,1.1125384485976593,1.230007987286003,1.4140961944314125,1.2657313903548442,1.2474308584267046,1.1911382739035925,1.142464148158448,1.2523341915469373,1.0083037184036798,1.0684566034221508,0.9653819258577431,0.9964209799792291,0.9522920907139119,0.9946273775679583,0.9802074854685955,1.0043304580343009,0.9980323654783224,1.0649499606356212,1.1329565520046467,1.355057736836377,1.2158888735090667,1.4526467496497213,1.2822547799631812,1.409403075385754,1.4379940926799855,1.3727998659986251,1.4895429232113373,1.3850841422096736,1.3869607366225043,1.4762500883734957,1.3456642367136473,1.2421420211111527,1.1611236319117897,1.0979227213971847,1.0174967482369743,1.0224675310594444,1.00405796624424,1.6236542135099312,1.0054521672142926,0.8712978416277939,0.8410544095713538,0.9055315190567829,0.9729460226552031,0.9945675390025404,1.0043660800049956,1.0842942004707847,1.25953481094569,1.307614199739942,1.4988442574693117,1.4801923457881772,1.4270215217559548,1.4356034016896555,1.4503456159195642,1.4480838914892669,1.477022081615113,1.4083782604101944,1.8162126680547277,1.4160410407162884,1.8764299763483132,1.1669033718653257,1.5356919858754756,1.9495918179105374,1.0699776643019276,1.0003500629151179,1.0468966353477107,1.0446105184907308,1.061780348645141,1.0928856878873356,1.1605918108268154,1.1845499078789794,1.2870225763972445,1.2562521136163827,1.3960795920561564,1.7943009753340662,1.4803718577783107,1.2968448501581138,1.2027354743054033,1.3023533440590869,1.1777774840711044,1.3060077416573463,1.2544917418349126,1.1687098209735036,1.2601256525299491,1.2626404016005044,1.3719504618075873,1.4737805146399507,1.6476959625121255,1.9192449957419615,2.1427583449947916,1.9054290116576478,1.7103394512890493,1.463010398042819,1.3833624633770554,1.2861487638569136,1.2449785458935811,1.3053020981348156,1.213791399369009,1.3904450182237966,1.2744597769059718,1.3072945335811665,1.3455212326068697,1.364996620344776,1.4172651210499148,1.4165452947757822,1.371945822494053,1.3741749032743356,1.3562487319095355,1.4572668586899398,2.070486104708988,1.4522281702469044,2.1269554724362782,1.5278048911909514,1.6328269099045314,1.609629993980734,1.467410518454598,1.4877413382039477,1.5415660611758157,1.5871978277209384,1.630156352946397,1.5612673738566532,1.7763615404582702,1.74648862212991,1.5841253809780118,1.7848121595613826,1.8559640034970428,1.7172526224592395,1.8266842526586566,1.9167659366306053,1.9276201030107474,1.79653823735038,1.8810574029442089,2.0390075931198934,1.8894862673877986,1.7202063399514005,2.0471727243717694,2.1565142048074666,2.174736451180519,2.3921583831884243,2.1651340411043214,2.2510032354168508,2.3947160071668163,2.4890495362011307,2.749960430180584,2.841899748914338,2.2425007299983006,2.150789950595287,2.0092099202048925,2.081331764907562,2.187280808285003,2.0642779270612626,2.0847162792945535,2.16426752965377,2.206830298215394,2.0321630692125714,2.005140001474966,2.1663994421010524,2.0722836440503625,1.8352870483994437,1.785537626494777,1.7307989383364708,1.8203233960773129,1.906413399146636,1.9160519802935745,2.0933326774737484,1.7796166218205145,1.7700426583157987,1.8903768972018773,1.8326091314864124,1.7249299887887308,1.8274903689462343,1.8848164858848353,1.8335217501977161,1.8169339983224988,2.024677419454892,2.0014788437342466,1.9323602477106039,2.0738686826355464,2.1877124543738153,2.185047385624619,2.163937965463927,2.046869003764392,2.118279092142481,2.2130649002206813,2.064314006956173,2.0847048238782286,2.1822923702322363,2.1686975407682176,2.0515412431386606,2.1936129763186587,2.3336496580028503,2.2027878632229867,2.191009491631326,2.232034960815428,2.277988385130207,2.289953100295948,2.1881165471427533,2.279500607110616,2.2314527705669094,2.497875271377032,1.9788966419418899,2.0064509615796235,1.7579976346824067,1.6150378801464973,1.6042296346676619,1.7036658640070488,1.593469066937728,1.7147587482214497,1.3669237350049355,1.5236522198076237,1.7999164425928316,1.46177908637149,1.4357804919113857,1.5304283968896153,1.4460787531064876,1.4021953000039387,1.5450802975388558,1.6037692159272026,1.2966572546237314,1.2688403977123286,1.6499989462754179,1.5336062470613876,1.9052718423613852,3.2710001825559245,3.2082020860056253],[1.7100757670284428,1.8190793744571112,1.7403972395332348,1.4211744325734916,1.4815569245495601,1.5504957623541218,1.478618352009432,1.535042725395254,1.5266938641359828,1.4356639383692518,1.4589881696260139,1.5976085495729386,1.4680688810152023,1.3883546365306698,1.4584010330939292,1.471909718301826,1.3693246850481293,1.389151252384499,1.3583653930283448,1.3663608070558062,1.3588523585266739,1.4318040555988865,1.4181133011119036,1.378352258922302,1.3108629784766739,1.3040727415779652,1.3135338972584798,1.3433226333351438,1.40862002434147,1.438935442150537,1.5032927675592136,1.5554096438309337,1.597721739405551,1.5486899606256166,1.5175778553784438,1.4484821027473374,1.4997322704947134,1.4089460525912536,1.3638203216100646,1.3866287668436112,1.4363673255126455,1.3355664036353323,1.3360461943145232,1.3397778299580074,1.461879879849262,1.6539025986817002,1.6617885426715382,1.4639052802072685,2.0064488822490913,2.141708405971959,1.948790864914258,2.496175276474029,2.404633914367062,1.9321468237752242,1.9524002889357808,1.8264239050845485,1.936082215515025,1.5137357938458655,1.8526840927465915,1.7128220435481378,1.6151008316016795,1.4812785330596905,1.5791055468303212,1.475833755399999,1.4713488249294546,1.367710421877626,1.4977381205272022,1.4202054096487413,1.4571231994240454,1.5057075371399347,1.5550797272877204,1.7543734742423356,1.6196363605461654,1.533420402441664,1.5222910175588609,1.8115264767496106,1.4556646292856754,1.5171371966217622,1.4935564527935286,1.4612446273735518,1.473999027363816,1.476881294867635,1.7294466213571726,1.5130849607085475,1.4217355648991514,1.4212427545532684,1.4136330285591547,1.537429607078413,1.4461299269641734,1.5128283381582992,1.4897240468821775,1.5689873184779617,1.5738820472109742,1.5895145870715268,1.5695926669849551,1.6147506543300902,1.6048235843332737,1.590796313428721,1.627062224968634,1.781773076010481,1.5968312733797199,1.7392264700752909,1.5830308812983493,1.5993510889137914,1.5977331845510425,1.5031413465839802,1.5680574863773333,1.5102778523572713,1.5032372413551534,1.5551827319592906,1.497598794143639,1.4646677396603882,1.4471908898294434,1.3600898419232854,1.3803591759750868,1.3180768078638008,1.3675768256293948,1.4825977290236594,1.2883815331790558,1.348491973520962,1.3095163378381771,1.3189078946559538,1.2021939898396965,1.2797758638367411,1.3547862360304201,1.357711756977183,1.39096510707086,1.3885768736552035,1.4517038692373843,1.480886882880467,1.4002819560203077,1.447993687666414,1.4011433647675657,1.4697287978336966,1.3934419480500106,1.3929841877638334,1.58282486017582,1.6080521090946822,1.7196240092943442,1.5003107961983928,2.1167767229379746,2.6526759481053026,1.56665959022068,1.4235773886709793,1.3510690951936386,1.338045114565184,1.3583071581020496,1.402889589978447,1.446585873297256,1.4924955527427863,1.5590146315131923,1.5990518861292893,1.7010862602973151,2.0890458641656577,1.8162578598318648,1.6444674322293422,1.5835443812181347,1.5803454163463075,1.5407943197962006,1.5047508506195648,1.4467932601475326,1.4387604954244961,1.3431998271436278,1.3651521729008778,1.3741220598153627,1.4092642657232757,1.5121042907848203,1.7770709746361653,1.9566985280851987,1.7019029616569679,1.5182264566481027,1.3899650294046895,1.40262015826216,1.4009818699982621,1.4283345175293454,1.5242509080543094,1.538381799471503,1.6483912389416204,1.502313063121332,1.5282399117877319,1.432023323087558,1.468960404506879,1.4730821721488463,1.4638195007397916,1.410248347046101,1.4323443435156031,1.428972999824577,1.59803371428472,2.102587259021797,1.690361501731361,1.9170301769273879,1.6034817768803247,1.5508031931141604,1.5078443046071313,1.4004702326917955,1.437650742999809,1.4409204839099674,1.4603506808691984,1.4888406107567236,1.5161520157235473,1.6192989366284751,1.6505768902231215,1.5383792814604071,1.6120883465464992,1.6859943306707401,1.6119431832910291,1.5973754915206884,1.6937355411165353,1.7489532283172045,1.630169584617254,1.6712337598166624,1.8214332911319893,1.7291744855702358,1.5650170898578786,1.8180217510952987,1.877142645989443,1.9858950142441019,2.127564988355176,1.926556972097937,2.0186284894672575,2.184274821252497,2.332801286672285,2.578882281395072,2.6899915147126565,2.012963999228637,1.9273278690285152,1.7891737575822013,1.8768647566618453,1.942360067927402,1.8466262675845386,1.9216844013331873,1.948396548664679,1.9986239341071441,1.8894742822337665,1.8109845371306712,1.9518589799407944,1.7988220921375118,1.6656701075450917,1.6153771935437906,1.6111850260925933,1.6711377079192116,1.7624240394385586,1.813620091099305,1.9841370159355582,1.7231554070154644,1.6985214304246967,1.7741253965948016,1.7865335778809606,1.6955290482949064,1.7254074259714023,1.80839887479181,1.8181092691496987,1.7361455982153777,1.879265891115305,1.897324742214686,1.8978402127158411,1.8895169158589673,1.978154835039737,1.9610594561530048,1.9582001732099714,1.861756774770729,1.910375429231776,1.9910956203314052,1.8444688102576725,1.866031334374552,1.9426680697841372,1.926565978881777,1.8024479890173029,1.9635384332288857,2.11998651415757,1.9299545173332504,1.900025952127234,1.9865953361758402,2.027840091765086,2.0150069696081254,1.9125616077187158,2.066810128051043,1.9937764007021481,2.290928028417354,1.7158167914487397,1.7157906074718403,1.5380750562119894,1.4348222544238862,1.4540446663383415,1.535350697680397,1.527387820957662,1.5226160038582732,1.4088160214483574,1.4448820892081895,1.5870031746061564,1.5061544456364813,1.567045710625206,1.6027623257368033,1.6155472897996013,1.553552122642297,1.6340898181100412,1.7109377747157892,1.5741997617823227,1.5775855941168067,1.7558873006322542,2.2924403031381533,2.496783292055198,3.7582816654596076,3.702891269293254],[1.1590541738420455,1.1868880010791554,1.282123706531954,0.8572210727839373,0.8666389860794053,1.043726699861516,0.9906445618917388,1.0932036153948284,1.1402415477111734,1.0447733184594064,1.1207153980678173,1.2054972404786677,1.0500300245051526,1.0302642979036645,1.0810181382945452,1.084513002578711,0.9699234727113156,0.9856805996977497,0.9593660895775629,0.914730828869951,0.9271580908108604,0.9799188341534006,1.0079574121689794,1.0621178819486436,0.8986854469337051,0.8782269278129122,0.8188955126329408,0.8540992877968807,0.9110481953198512,0.9931303537097609,1.1404224834642034,1.1221199440938348,1.2008165063818523,1.162424475283677,1.0652724492786025,1.0182734383075351,1.0033623031070378,0.8965138870322517,0.8500608503807119,0.8546563469724695,0.9776982560654612,0.8139234900311081,0.8040820931586196,0.8457056199325774,1.049351337714017,1.256747836277154,1.2956036752677083,1.0798279822436403,1.7929903897714214,1.8423398413455208,1.6364459267572151,2.25167749174945,2.095700495284367,1.577381215939252,1.596160049845549,1.4822801872039253,1.6443293031868542,1.087216280837091,1.5536777068019434,1.3743559226587885,1.2048606718095813,1.0830943848553607,1.429564170732478,1.1507505319353917,0.9445024266957993,1.0226825888208055,1.108935353527214,1.0379153701463055,1.1331069694045857,1.1794574877741744,1.340854516649948,1.5920397157431465,1.359183327976834,1.3127703628579028,1.150946957148467,1.5058499451179514,1.0022834705430306,1.126135231726577,1.0598073570570374,0.9628508734444433,0.9996852814145143,0.9958725221731176,1.232697202152381,0.9693341970676304,0.9159328793222674,0.9270759890463366,0.926547474248423,1.0742791571284869,1.006224469405723,1.1606333090422973,1.115835896819986,1.2776413812068164,1.3042717710282346,1.2701117644096123,1.2353735033236213,1.364509314304759,1.319149178337159,1.2283518934752056,1.2274933887852193,1.434514764242127,1.1741644819431332,1.272899454732201,1.1077294136310405,1.0750168168435776,1.0742435322275752,1.0386674030387375,1.1198242045390885,0.9698230339225589,0.9842043657129578,1.128740383283001,1.0193272098977593,0.9729792136381225,0.9568386563338817,0.8433673208826569,0.9048089104127116,0.8328920778562164,0.8622317609845729,1.2100795381658633,0.9182529918403682,0.9783941933702893,0.9789147761624954,0.9343467684313141,0.8604938348861899,0.8266719107044116,0.8868231356223818,0.9071808427807558,0.9098668601934178,0.8431999733488756,0.9014722384028102,0.914497694007544,0.8000432080962504,0.848846307134505,0.8023757531012236,0.8957229461154989,0.8346913211628519,0.8309749712508798,1.0969764313789452,1.018825807715547,1.2249760811052974,0.9305145304293649,1.6538507107248133,2.2911402408760546,1.0838155744123468,0.8834177921554861,0.8462579614047135,0.8807147875625357,0.873608413896109,0.9292100155206423,0.9502534177875473,1.0145036928998798,1.1239761213295731,1.159474230506377,1.270348572610258,1.85802612602734,1.5302481615536523,1.2678869130416783,1.1622401244710627,1.1201497929161404,1.0766128745360284,1.0199542924657194,0.9243283270810968,0.9121954805155579,0.8467656664907162,0.8494767030058166,0.8480434768045219,0.955880947398915,0.9816140357780464,1.2888441081577342,1.517548659588027,1.2279239172450687,1.0258960485895579,0.849664621930515,0.8646186477759834,0.897686547246928,0.9090524494681508,0.9775466694488861,1.0650607624539794,1.1578686760399584,0.9625656740396304,0.9880296430640345,0.8934985156144365,0.9473561568883073,0.9068510991447655,0.8724946184115165,0.8365912525150803,0.9074760705782311,0.9489471378346224,1.1206944394947047,1.9634186796294706,1.3550169056410937,1.5101210029039873,1.2032005932165502,1.0816642526138716,0.9759383516391038,0.8180075051501513,0.823321659398035,0.8369401417101985,0.8647835465820962,0.9146889077464951,0.9303605976873013,1.0454360597325254,1.0817815086125193,0.9700884740214408,1.073884205865374,1.156423689686418,1.0882798790151886,1.1953411852814257,1.1946547384307002,1.269506769642701,1.1739228122916454,1.2028181250486818,1.3354641759025552,1.3299698534411264,1.1749211788850742,1.3783928152809493,1.4665368600443407,1.4784437811219717,1.6658132085930075,1.4016817370017536,1.4977428321132313,1.6717623455907469,1.9021704525332293,2.0146559646932087,2.1451507187453767,1.5033921900781804,1.4268106607846647,1.3033305806910949,1.3630191317358813,1.4979734960579065,1.3108272456342234,1.3535747307690857,1.4403837406457465,1.5288033358533142,1.305603516342266,1.2577174377857487,1.5721637859729,1.366304917648493,1.2375300577663204,1.1099996144278215,1.0143640485013412,1.0764747704097466,1.1664341420951425,1.1758261906885652,1.4204588712484085,1.1945332784721943,1.1203157755885638,1.2647325945065329,1.3189852518575589,1.2107436776567675,1.22112666394924,1.3280115045285312,1.363244587963469,1.2630668658152753,1.3949753584586668,1.445302427664321,1.4250433321563278,1.4396995077576706,1.5334259980757659,1.476449878780835,1.457334692232255,1.3503258628586363,1.3914513866303535,1.4938667566917645,1.3303305041569664,1.3233218448673907,1.4155374050039065,1.404284725597633,1.3019793401839936,1.4543938097054336,1.6177129578917717,1.4568204674984144,1.471588027187343,1.5274839968613352,1.6227643530317968,1.6112652731793287,1.5183831595719828,1.684617986868872,1.656166403275102,1.9160195587380917,1.3291190451206671,1.2852854829037519,1.1481296215423364,1.0047699266657815,0.9970734431147235,1.1227686669554653,1.0932146094319668,1.0392208715444322,0.8567175091878599,0.8698788918124888,1.1736044913203494,1.0041776815399457,1.0447340987506297,1.1217297030577895,1.1828033094207155,1.1028379018108279,1.189665219641331,1.3437637929233457,1.1639872033170138,1.0220277563058853,1.381488823872796,1.6969368954919268,1.8099563511969194,3.0638255888433297,3.093373943175009],[0.9882258580986993,1.229990627170805,1.3833031860437717,0.8542152200019206,0.8944338692273747,0.9147905898651079,0.8590832257044801,0.9254877719584694,0.9046942625970399,0.8230444426512467,0.8313008964079853,0.9807714589738044,0.8398869715895236,0.7610709080191737,0.7982081185989852,0.8279459883035973,0.7852594656566252,0.7684792301469273,0.7459266624947207,0.7564015635803171,0.7769351514792191,0.8788364848276282,0.9338412169154818,1.0037308095466002,0.9292385529509529,0.8108164477024122,0.7710512643340823,0.7491155425989513,0.7519999074404232,0.8120086680713052,0.8489177025043255,0.8992662772146862,0.9342178552166069,0.8888022467559072,0.8546658563949209,0.8163644193345999,0.8440798123448175,0.7673519611135504,0.7807682409030623,0.8346760985622516,1.0169637765854664,0.7977517691664824,0.7988522040522069,0.9098640983851696,1.189129724233621,1.380840120010307,1.5249679289309392,1.0523681745081088,1.7043823325274863,1.8407707644282283,1.5450264735665655,2.175878566726834,1.9960025181759757,1.6078707346239614,1.6454251071483132,1.5275612479853988,1.6653392125171922,1.1614835313936345,1.6271715891464364,1.463397389507753,1.207495402714973,0.9883325821488579,1.3022120974197344,0.9566084815336002,0.8627796683488463,0.9178978296181931,0.9135580207728744,0.8135175261108542,0.9147824486419586,0.9287102133345951,1.1376300731638402,1.3204180382377086,1.0775516843474653,1.0529114986183952,0.889455548831431,1.3079516978594095,0.8040936508097328,0.855633977949693,0.8448243242758238,0.8177021115532349,0.8247611717624775,0.8992919444622401,1.1646934107242701,0.9128116394000275,0.8965853364445143,0.8515877388073425,0.8053535322814088,0.929713397296041,0.8191113871592249,0.9176459089782308,0.8432974068265182,0.992169455321572,0.9737975027217161,0.9442497752274553,0.9300760613281801,1.0150120366966278,0.9858467724597615,0.9502651304674412,0.9856217246367834,1.1795241159807106,0.9895767300917432,1.1349934567143583,0.951655136342912,0.9881753738945812,1.0184426345400845,1.0015886162757273,1.0969370830539822,1.0414018063563653,1.0535616172465958,1.0646473466995234,1.001071144086583,0.9256552169658981,0.8619150782288606,0.7627568382653435,0.7935378865764323,0.7248780029022488,0.7600397228382957,1.2724218338733841,0.8190824219269954,0.7672409717711676,0.7890378808904414,0.7558397951590022,0.7452255144736302,0.7118982960782448,0.7643877523162828,0.8362078430122236,0.8925241030939662,0.875637965480562,0.9378364252610722,0.9263803761670304,0.8883849959423092,0.944362478094471,0.8872179445736272,0.9058222144034368,0.8906742044970393,0.8751432019363637,1.1501253313529283,1.0388058870225987,1.1938022910713548,0.9464873181111423,1.462122870858927,2.210152641701898,1.0121786741006673,0.8036499403896096,0.805441805345267,0.7955905470799468,0.7985930793185839,0.8203169838479081,0.8585082279965808,0.8939991254491276,1.003161092259062,0.9680998314376444,1.0941632519170261,1.6319684031717812,1.363473650890705,1.0423581513552804,0.968103423955149,0.9882519146684186,0.9340082797750745,0.937643307286432,0.8798025172929889,0.8346822145774451,0.8452110977432383,0.8490576656328845,0.8902558471329474,1.0413397576284282,1.1228737104675306,1.4731616585501335,1.6538286189857578,1.3616663573867427,1.1251961826832266,0.9188255145290004,0.8902254065670915,0.8841159853782568,0.8780108788129658,0.9061458904328639,0.9485083996068159,1.0429837525080927,0.9020856142450447,0.9337266633151352,0.8897655500680087,0.9237450815854489,0.9283277184527473,0.9452831473496649,0.9190647719366185,0.9705417474380404,0.9824816852331909,1.1801770716136517,2.008332680227438,1.376916256233839,1.5241496314466134,1.2168979320296334,1.179160318287629,1.0983161345904304,0.9579362759128426,0.9240545577740098,0.8930439601305016,0.9651585427546654,0.9907839067637725,1.0011416673274927,1.075312670270449,1.067948380352345,0.9982555626063129,1.079456416597117,1.1392893826568695,1.0841852391737536,1.183588512730765,1.1743278943404987,1.2166770006181313,1.1549625286737084,1.1829726267641647,1.2872755248001926,1.2721111646437717,1.2361834143296668,1.3329793198432547,1.4148212613224516,1.3674453085312186,1.5442880721913155,1.3249320064843073,1.3894907061867996,1.5585826367087217,1.812185645152741,1.8384723987806824,1.9800572012277369,1.4408668348194613,1.3859227469302287,1.338707693064882,1.3444929971208084,1.4869606903320571,1.304171157371238,1.3484577510850522,1.434970123325386,1.4881374783430241,1.2916916969353938,1.2618739022303396,1.5924185837739817,1.3590051338392803,1.2451187390535192,1.1331747296945462,1.0636713560686748,1.094626305269487,1.1739379411877915,1.1831328781049357,1.3805847418797552,1.1930613278079651,1.1462927991664567,1.215273863068593,1.2822096132305085,1.1690001612864436,1.1817533882060378,1.272893804573367,1.3014525848771665,1.220653345553999,1.3083027778409053,1.3570803955908777,1.3643490859344023,1.3513143650310786,1.4339988196009632,1.3795450887248777,1.3610771512946576,1.2660582751629128,1.306435539450643,1.4131198749811453,1.2713904091797874,1.2600676394869903,1.341363779598626,1.343171724767162,1.2874535817098225,1.4275336945610493,1.5697669498349553,1.4168942186080469,1.483459469227371,1.523797524138576,1.6362314668374556,1.6192796342062086,1.563373823994331,1.6523320799482228,1.676593791900782,1.8328999436803879,1.3099782187001519,1.2635512933145934,1.2096906284901217,1.0685552052692555,1.0710734192805578,1.1704640833062678,1.1542091391441864,1.1487712205957392,0.9811559599748887,0.9584385375376341,1.1929385246970847,1.0492328882975177,1.0885629013900548,1.104309518224936,1.0784723172894513,1.0780826226890305,1.1366438163513588,1.1892588719244963,0.9883551004553387,0.9516425625148848,1.2106465612058326,1.5390271687734371,1.5179426104923175,2.769670443871332,2.7630863059796194],[0.8183756704346222,1.121613549194549,1.315759227577139,0.8128409668921255,0.7996055611534619,0.8375382578378849,0.778653288816514,0.8171870419404048,0.8239926231768634,0.7568910509627077,0.7576058860079188,0.898045528426631,0.7665286946712296,0.7143856534446987,0.7560974667708648,0.7653914439693629,0.7594243005674047,0.7404203082701379,0.769855111753518,0.7525863308110052,0.7931716714028146,0.8910777161534964,0.980814644887807,1.0490178153278222,0.9517067342306534,0.843336478324772,0.789916838948476,0.750040025651735,0.7367504211683022,0.748712311434913,0.7963760346351472,0.8152260688949826,0.8453075987470964,0.8093721920270186,0.7855995184320445,0.7592829933136936,0.7754462749942574,0.7499735130492111,0.752921184329594,0.7976266931859841,1.0127205848663952,0.8104633765148885,0.8027339877230806,0.9037025638452185,1.1998668199781966,1.367608996588181,1.5399756058692173,1.0468964425828082,1.675260749670118,1.798636728161391,1.524308154053782,2.1828105781655727,2.0152594771757677,1.6348687790258094,1.684135868976871,1.5723202850999791,1.7201649692140186,1.1889809369744386,1.6338444063021125,1.5059973411272076,1.244141293925863,0.9715252453297115,1.2035027669511196,0.9378152241735529,0.8725663275104631,0.8848544313873593,0.9022451937037724,0.7958177789741903,0.8955115735977554,0.9106612550795249,1.0978188554639488,1.2659978858389085,1.0239704539842225,1.0317695866487993,0.8279259078923971,1.2473388688189972,0.7722024623857652,0.8130956895560698,0.790128497396811,0.7723375500729203,0.7693838162315667,0.8402191637324747,1.0771821444771834,0.8298559638923262,0.8391344128454895,0.7772153829129551,0.757026522474507,0.8507006131390006,0.7672784575176611,0.8388520530508619,0.789031219810211,0.8988474125486291,0.9284660923224743,0.8692462165861304,0.8595899616108365,0.9380593723290247,0.9194650345162589,0.8401449230812988,0.8760228214161719,1.0656900032487422,0.875486159654433,1.001382940574641,0.8416766612880304,0.8811673934224659,0.9048550907549886,0.8872411567323536,0.9673394958813021,0.9488983375137214,0.9513906855226891,0.9437949129726136,0.8894946137984814,0.8186629484433653,0.7763299337777836,0.7021631457278574,0.7649392452209046,0.7201180939535848,0.7801042672197188,1.3164466078467174,0.86362811615533,0.7786938284156113,0.8067514395690786,0.7574014494766791,0.7755739141531482,0.7177982726658059,0.7310169806313535,0.8083615943702022,0.790747028089077,0.7792694952919323,0.7865690981813461,0.8002803070486031,0.7667803384085622,0.8172636490934142,0.7621943067389624,0.7877884464385029,0.7712406486026242,0.8022232076595055,1.0229548199871954,1.0363428663106808,1.097754381242762,0.9491383549303004,1.4871665944028025,2.289183491563979,1.072217318273232,0.826365375154874,0.7989207310112049,0.7623653994402939,0.7666603039009531,0.7576663995852372,0.7726532156399929,0.8114882514644447,0.8856102862110267,0.8477923271362705,0.9666703229318666,1.5749415219716405,1.2830427160079527,0.931634924393022,0.857881154213061,0.8560017578828888,0.836141454433783,0.8319858853419567,0.7957508229726593,0.7835750195751123,0.8137068966363442,0.8020256810726719,0.8316162309726532,0.9975517217264376,1.057297523198271,1.4283418032259623,1.585055436854365,1.294850994448121,1.0359884958017866,0.8544916654320198,0.8194453574740459,0.8039152000342608,0.7939663381924553,0.8139994000069927,0.8605680717789819,0.9453414146386218,0.8165723083429774,0.8236842775944639,0.7954947826428141,0.8121299937945556,0.8121825520510948,0.8366253200111533,0.831370919203938,0.9206335997857487,0.955869096685294,1.1936828556244767,2.0255765404565795,1.4064082109347054,1.4394680012892394,1.2400302304791258,1.11434607450634,1.0109191353683806,0.8652346321601748,0.807426245953738,0.7531327492550156,0.8070868228374544,0.8258360897266985,0.8702530695176929,0.8950472551912412,0.8921728192846131,0.8566403388519472,0.8954855681039312,0.9530806071612642,0.9322342596585341,1.01761771035347,0.9942961901348458,1.0348270261780863,1.0102678777348086,1.017963203079359,1.0920863742671716,1.1212457928847013,1.14631984741726,1.1764867204833356,1.2233826032752135,1.175990343117088,1.2653318402748732,1.0966452644511426,1.159811112479332,1.3313242242615193,1.5753416010954089,1.5976206237080288,1.7335943841390513,1.2177136185824184,1.160644409910476,1.1395889763723528,1.1117761817419745,1.2681122056757377,1.0845402408787461,1.1302025678776955,1.2568675870685122,1.352376250738806,1.104124677216166,1.0654266362105909,1.501985333631594,1.1860454770543492,1.1232182146388485,0.9679666664644078,0.8845290377555252,0.9070921278734296,0.9778797790813205,0.9769042027467699,1.135066743700038,1.0164528335380985,0.9621083679034899,1.0214107090359668,1.081389194466303,1.0087411968352218,1.0095842306389082,1.0902104599317002,1.138683821696433,1.051848668100721,1.1139767356448798,1.189502610477363,1.247827752198937,1.1635521298631708,1.2218491560357576,1.1590155326809257,1.1354658603089538,1.0582715577850739,1.0733477900166661,1.1772920765551347,1.0553774924618637,1.0370425446813916,1.111211962063065,1.1173275261152378,1.0789869799570153,1.2096122249318462,1.361294107998625,1.1798080626638034,1.2802336417747164,1.3181607636962043,1.4479104100048579,1.402074886723582,1.3614532169417735,1.423275553223652,1.4456928300586922,1.5963445028951562,1.1360112586416855,1.0654786624186843,1.0796829567747204,0.9635194806105033,0.997678357961459,1.0995014628492965,1.1427369365187638,0.9974230835114283,0.8710902651606345,0.8186836643165677,1.0376323480003578,0.9072493258330089,0.9797642172323351,0.96234590186127,0.9780173865409614,0.9648111720290244,0.9942351386326379,1.033417816947897,0.8546861467362054,0.8315279314715505,1.062281848803922,1.3910153092445343,1.3125859962912898,2.402910725407133,2.414870637743963],[0.7215602274633677,0.9671474336810791,1.2202668068211566,0.5751969028472406,0.6067576781407026,0.6331313456461414,0.5351657120222598,0.595967894703687,0.5890825437814762,0.49595397559954807,0.5127957312764889,0.6670047805065277,0.4906439983776112,0.4685609911173212,0.537014965979355,0.501311517925588,0.49691724907885804,0.47956524023196717,0.550887130858388,0.5015956570358578,0.5709019064092438,0.6928530730938546,0.8705133722597757,0.9387128491154354,0.828531584408165,0.6639739146793149,0.5660355448398302,0.48353283777382544,0.46669126732235217,0.4724412949280544,0.5482701086659237,0.5416741378106054,0.6014704626184852,0.5361665088722946,0.5050147707109668,0.48761326830505713,0.5215725680525157,0.5060881527829316,0.5151656128597021,0.618427433993383,0.8775379215009081,0.6176427319852587,0.6347864945379342,0.7868717040655578,1.1372273735964913,1.2589439857498586,1.5161205116670233,0.8776736310565483,1.4836830987156044,1.6155931999957942,1.3307314628174796,2.0451444105932457,1.8861899330869347,1.5595417385629304,1.6208382667008325,1.4927278914728734,1.6327409785207025,1.114366446606283,1.5897820005989447,1.4478385339300872,1.1655663615350447,0.8269265723995408,1.1167565585508152,0.7193367460537933,0.7039293276701977,0.7546066115549337,0.6879093644881003,0.5392138686226987,0.7061073636658138,0.6938521344966458,0.9102191897599038,1.1084339047343972,0.8281452079705126,0.8734622399587908,0.5790781189215118,1.0509431082585101,0.5161191334853916,0.5526354796314169,0.5378667227122541,0.5302948037777465,0.5079733484578108,0.6695481256045018,0.8724330637121775,0.6070297726479813,0.6115551671503067,0.5327033427447714,0.5293433379132227,0.6621950220842959,0.4936427981728052,0.587160533419967,0.519327728878587,0.7310323048656274,0.7351877222071017,0.618260243499323,0.6025805881016605,0.7266718340640896,0.72053496161324,0.6115017688035401,0.6408802648562961,0.903042304982935,0.650269539526006,0.7879473676845362,0.6049248583597078,0.6714412861303976,0.7103677684305243,0.7000830864623213,0.8603122062161672,0.8491720644804834,0.847250538694611,0.852917969949607,0.7418170363077253,0.6146914755512553,0.5406743364743107,0.46864501776109696,0.485142791125444,0.4777625636839004,0.5364023973597989,1.3140637991083055,0.7263537273893387,0.5142848289816262,0.5527781017591963,0.5151332588529052,0.6124815527805226,0.45431609804554485,0.4504567559828455,0.5696363246802781,0.5963023308259762,0.5727786900721177,0.6021436801132385,0.6128693848561457,0.6372690096917651,0.7088816946830055,0.608048113659496,0.6343665098443085,0.5903962616843516,0.5991320530636552,0.831334302544668,0.8724468644578378,0.9341176588517119,0.6827814331607616,1.175908929584898,2.0901812116228933,0.8540580734352057,0.5495131146866985,0.532889497161066,0.5086263396381424,0.5116036394437558,0.5140354646046026,0.5111027997716977,0.5613734257513263,0.6715770525835124,0.647197199850589,0.7948869701807817,1.4469195990564063,1.1384196355739542,0.7458020489222662,0.642734548630828,0.6460058853960029,0.5925249559575937,0.6207655968650978,0.5551635280961106,0.5256269604049479,0.6121448676747718,0.6203265792584745,0.6863562275528557,0.9096895140932714,0.901020711639968,1.284474863503458,1.4243787639843337,1.1168134049654193,0.8634722388031854,0.6766383902249797,0.6260916384886119,0.5987782285270286,0.5625315734387083,0.5926712632292838,0.62648365419293,0.7378446185372546,0.5889311745648173,0.613243658609731,0.594409379577109,0.6032373389086838,0.6240831370660113,0.6668567822083243,0.650439905544615,0.7382578449724589,0.8147541487401043,1.0721935024085867,1.9400648636186504,1.3577012689063925,1.3259738889284332,1.124668435579196,0.9602947252633108,0.8254288786173657,0.744210257986888,0.7760804332090863,0.6996616074018653,0.7489915688004601,0.7912477630745743,0.8354383614204673,0.8551926989887955,0.8221506553440436,0.7914370507146139,0.8435136568935042,0.8996788245818272,0.8587297835245297,0.9325959892735334,0.9680856513978834,0.9839629090931149,0.9390081288881269,0.9942177555733196,1.0793292792069855,1.066017745541568,1.1681772582556178,1.2039654862696794,1.1935720845027953,1.2579665037422978,1.2167686610393031,1.0994192827851526,1.174617370842343,1.3158789656843521,1.583632083410327,1.5487033941642976,1.6660591357789851,1.1993974063466566,1.134855620348773,1.10133387973303,1.075987191580008,1.2384418563717003,1.0438411096496005,1.055644023811034,1.2283957113104687,1.3221928721717393,1.058220983191819,1.033679447828424,1.5320149670977898,1.1773026713303092,1.1127202865566654,0.9400744865777554,0.848620304077454,0.8575754986331269,0.9199032738586509,0.9028671335260579,1.054672876454761,0.9290856228036272,0.8908413392322118,0.9746864521664711,1.0000556307076265,0.9446429554090306,0.9548328984493125,1.043398615208777,1.0822726147308346,1.0043946604173584,1.0849334023663926,1.1641708717239658,1.2389431794943462,1.1379572692330455,1.1989408632657859,1.1311954195891432,1.1079639871980689,1.0267131095735218,1.047168244022803,1.160728929818638,1.0315928801218361,0.9961946081042563,1.0855848062909887,1.0959163068269315,1.0428699259176812,1.1661598676516332,1.3530461919789423,1.1326794694268962,1.248293041124068,1.32701190274888,1.4682774983788387,1.3548962112125078,1.3184916863233196,1.3930794030109797,1.3940037515592238,1.545662383250577,1.1250613766824196,1.0345699531044246,1.0324764585594737,0.9557360406308771,1.018212459471691,1.1472686220386898,1.1962845234307713,1.003201841105293,0.8031488367554732,0.7554738060970397,0.8738364997992156,0.7991471063151093,0.8985682847342475,0.8723896679301771,0.8531855125046487,0.8488474987585238,0.8754788051319808,0.903245092924069,0.6929041051983659,0.6807238598859314,0.936610914043553,1.1882189303059234,1.0725998372798313,2.0752444697075987,2.186898587098002],[0.9534038739134498,0.926872764242996,1.2455992878518498,0.5742601594268317,0.6569539543297996,0.6537396847929872,0.5586847816750782,0.6077500125643908,0.5724480670089187,0.4964472228230676,0.4998769363552535,0.6115193181162422,0.4986330283797407,0.5088102268135033,0.6143301286777197,0.5357346472498618,0.5428206362114559,0.5414859668085231,0.6815207975064574,0.6188172931771115,0.7192421496828701,0.8154758119951295,1.0191832241866436,1.0710673376005566,0.9788001478207391,0.802514671360288,0.6856805056132563,0.5849504916633371,0.5554740889453151,0.49628886290131263,0.5906491583791437,0.5384913875762958,0.5809519718137147,0.5399441058073956,0.5243662112692226,0.5211062475347159,0.5434147144688394,0.5784825687363068,0.5902491829289167,0.7100546288386013,0.911111485276384,0.7321093948500239,0.7526771751039969,0.9274719396710244,1.2483083958969916,1.2970403586354544,1.614157224193062,0.9395962941416571,1.390397647874444,1.5473798302838115,1.3165768023571471,2.0720065021260776,1.9434770393597074,1.7132069243320545,1.7457746673257628,1.6162135831968327,1.7766482959512673,1.2925621475776568,1.7108425319020049,1.626974994627149,1.3246717110752422,0.9398805017864204,1.162480758562975,0.7986853436649834,0.8241641679741417,0.8766552904502114,0.7425020996315058,0.6058329964145279,0.7880936737992401,0.7453702724086425,0.9251635782545079,1.0917979267362294,0.8442018277793312,0.9240359132708514,0.6189678131284899,1.0921511454371384,0.5726559807282683,0.5700828958187117,0.5777471795744581,0.5851464837339679,0.5343654525038251,0.7227153870803192,0.8285681031679447,0.6659923004998038,0.670373076914838,0.5877319351489727,0.6062992710901077,0.6828388773073331,0.5443633668757957,0.6049169429859342,0.545300147993471,0.7956991063965199,0.7801359370481861,0.6399671268807784,0.6238833654680508,0.7331927111118911,0.7420443575060026,0.6069062596482184,0.6093657656063138,0.8565484513846935,0.609612317569225,0.7689846758589374,0.5933693159632862,0.6743922325280627,0.7562965901499779,0.7435793534716375,0.9619108584249323,0.9456800635291445,0.9439187867477766,0.9500951605636583,0.8066942353722839,0.6449756062372467,0.5630052855779069,0.5252950437644699,0.521554342114746,0.5493735669698874,0.6066126387601853,1.4856073448604725,0.8884735602368303,0.594778588764997,0.6386594776566153,0.603348278059018,0.7363158945935595,0.5096070202723627,0.45622615422069546,0.5934979994723704,0.6362869456748067,0.6301834973694714,0.6827594074619658,0.691201323103529,0.7558504028124705,0.8237491341360872,0.71164270498598,0.7291897835263617,0.6867815465758371,0.6619660789341887,0.848564224271394,0.9279858690507452,0.8824440067500781,0.7583328623270527,1.1535701165215104,2.0644771603069887,0.9266232730994439,0.6195129638502593,0.5976913648115286,0.5625610665606298,0.5572229048835172,0.5530814273955069,0.5371731924664243,0.5633466949137641,0.6704296664701362,0.6434147563278518,0.7837074472258266,1.378082922253267,1.0892575388771906,0.7225392932002532,0.6313066454032502,0.649313784774701,0.5787927674602389,0.6485536774049385,0.593325245767276,0.5609771116823428,0.6895422679566139,0.7208429907103939,0.7926334611621955,1.0281596507495911,0.988565468274674,1.381196016889021,1.4722364495234277,1.1667031808875863,0.9304167011365662,0.7633731740635823,0.6984016322769813,0.6592790995577695,0.6005879613655845,0.610179507779046,0.6362213363412837,0.7045520358925514,0.6221211205906587,0.6670308115553597,0.6687904328949884,0.6661339948464411,0.7080093938986763,0.7469122225738813,0.7232939864915044,0.7956994937388792,0.8659422292410704,1.1269862820300198,1.9540138560631273,1.4031468613849991,1.348219215522122,1.134337015134852,1.0096693676508066,0.8724313451447241,0.856775606854721,0.9688931690662683,0.8954798068301024,0.9470924939382975,1.0123336185450829,1.0326570651920552,1.083353596910727,1.019472180941618,0.9716150431788616,1.0587100172014166,1.1115462580851796,1.0232587400903028,1.0741765123088813,1.193856677743205,1.1607890011823327,1.0741178892783843,1.193763367916623,1.2771315981928568,1.173018220551651,1.3416056739340316,1.4118676197784754,1.37828447605616,1.5398451416293877,1.486082735145178,1.3970782407835878,1.468970289975504,1.6250006327196322,1.7662599093652442,1.747452012471012,1.6199831695799345,1.420583404336367,1.3601714031919874,1.3227862211853263,1.3190919906425917,1.4538069397562674,1.2823204366778214,1.2231756991981202,1.4572475025687746,1.527467585443109,1.2512274763582218,1.2697220317293347,1.7835713078966506,1.4283512977655901,1.2796787614066683,1.1673696226992496,1.0830863797693837,1.0777625665618298,1.1341902534651414,1.1068275457802879,1.233299222929643,1.0911437993057989,1.089123469255699,1.1733919823266694,1.1351908732692337,1.10830939562212,1.136377306356171,1.1985863014734832,1.2072976445779706,1.1571209019072843,1.2521166831578876,1.292250374207369,1.3442972216938864,1.2852940873873868,1.3566190140611099,1.3197385600060347,1.3125014175605287,1.2402469718577342,1.2770470585310618,1.402812163488345,1.266385012414406,1.236778136911876,1.361114540492772,1.3615668771284652,1.2761764445027306,1.394756917540301,1.6117861138637772,1.3809483028022098,1.4900154522583526,1.6139478931900098,1.7489267326219484,1.5823200549948468,1.515542616836132,1.6355927136585076,1.6046757934271154,1.745337201067545,1.367953589440844,1.2490868327094724,1.144937961582008,1.1281551423169123,1.2180102478869343,1.3763041279426804,1.3565608253005057,1.2370862968049843,0.9527158757730018,0.9407345577412184,0.9014777691401041,0.912476349911309,1.0118328319519212,0.9906780982822011,0.9210607397545956,0.9229973922229827,0.9376456736232232,0.9319524334829578,0.7272045240367023,0.7240350929078693,0.9275421068619899,1.087877686136626,0.9917805427081181,1.7933362395096029,2.0313063458321934],[1.0167296988512409,0.7524881771311711,1.1124549430044033,0.5081718666981746,0.5941504219168109,0.6156053228625142,0.5203248827659718,0.5595201747385812,0.5560147849039242,0.47501390315672987,0.49075164887574907,0.5686390543589123,0.4824550488614885,0.5196830992564001,0.6256566768809629,0.5458658316278655,0.5649833136183599,0.5761814383597554,0.724784448061532,0.6490042939785479,0.7549465237158315,0.8420026753346932,1.055708443035138,1.0971510306854004,0.9971207116304491,0.8329348477369252,0.6902516419822892,0.6218321531548684,0.5787533559006695,0.4918604726653146,0.5981683099236115,0.5233317098307766,0.5794938429179395,0.5437249300100464,0.5269533992430122,0.518664154142194,0.5327906452154673,0.5714041755352652,0.5695696408312394,0.6771934116068679,0.8955190624232295,0.7249685399458088,0.7389704133979605,0.9022348288573965,1.1983136292549919,1.2387497055245802,1.5426705299517576,0.8877744824970009,1.3600285058161832,1.5279626810790796,1.2858166333719552,2.0480008811610557,1.9363082245761942,1.716270580959898,1.7551651607570813,1.612246851468735,1.767871558843491,1.2992020456118736,1.731157208886348,1.6303278012428932,1.3142737721995237,0.9520442523157904,1.1368605972114494,0.8103538927147732,0.8634493437508384,0.8719497253355982,0.7919894201389459,0.6403953274404981,0.8286684152347229,0.8034162545203015,0.9859413312560608,1.1426013009120959,0.897713241454497,0.9489830585781848,0.6879829833882333,1.1086675139294018,0.6048571851714307,0.5789260873440553,0.5885762099784138,0.5970120162752733,0.5206150880064385,0.6850694713092089,0.8090741847597508,0.6348880629346437,0.6340820721209219,0.5565639316080851,0.5987128747062787,0.6766117031422718,0.5455864120831679,0.6159369654197183,0.5460838310919027,0.8059985494817904,0.7761921454527954,0.6328421000748564,0.6190589104203866,0.7121903975628727,0.7346769068988717,0.5903351441248534,0.5696913654982727,0.7921838475263856,0.5868232589115201,0.7225397994727178,0.5588225008205472,0.6379523932855499,0.6968622155176459,0.6976792521521623,0.8872318019725307,0.8959684210848362,0.8972915251497109,0.8789054934665649,0.7505786425394825,0.5920014180739118,0.5212723464783369,0.5098959897974489,0.5190477973313761,0.5679013583705915,0.6574225808590533,1.482458727714124,0.8865499191152142,0.635526685510307,0.6824879868564065,0.6365706127121891,0.7369848150465207,0.5302457010465854,0.4618498693061074,0.5633132075807099,0.5902471505326414,0.5722449084887435,0.6335733323071719,0.6325424403246491,0.6804967268008246,0.7531030431902821,0.6214538137859261,0.6450650811169758,0.6026479254062794,0.5972241945431238,0.7818749197532595,0.8877079778563077,0.9053612148679608,0.7727436017606312,1.2373497020609592,2.129979227078042,0.9992536456796828,0.666862925922253,0.6077668604909864,0.5484513928561263,0.5437103676347439,0.5432803876968546,0.49763351481676493,0.530662926763556,0.6227445332329887,0.5931853949989752,0.7103778098606165,1.3038044479534134,1.0362642132754993,0.6783968367876642,0.5885180472644552,0.60254209473669,0.5334064922037081,0.5983571438202784,0.5575222911617974,0.5352001356127571,0.6596674742700244,0.6796170278178683,0.7472855771306577,0.9908677551354933,0.9366015567459476,1.3309262392868024,1.43186543116438,1.1303002642470845,0.8714833090084121,0.7165392109743167,0.6392898230667234,0.6094580051826076,0.5550837538191801,0.5609388089191175,0.6016642038178516,0.6733367569569687,0.5790787472408818,0.6191509979359344,0.6140235251273297,0.6034043885323762,0.6269929298570788,0.6627876354261575,0.648278912442501,0.7399163450594152,0.8238320488284425,1.082884918227873,1.915431059423112,1.3473683260910831,1.3177238798371678,1.1054731416394592,0.9596878357339399,0.8072499980875861,0.7630454287187821,0.8534585191397515,0.7971685844959974,0.8678636011637596,0.9407976646501519,0.9928257862098269,1.0155055909953044,0.9380341290787467,0.9097925599269451,0.9989633629242884,1.036225600504909,0.9442671882313759,1.0365717922560043,1.125836363221037,1.0548749314200798,0.9917577925837511,1.113289556423296,1.1547952428835186,1.0610476854214927,1.247663853229343,1.311534078321793,1.3395327116547437,1.3979700545411289,1.3767026463665244,1.2838637599403036,1.3411609864963636,1.4909624429567785,1.5934103203014884,1.5795685440761837,1.4613252875566145,1.3088310981452835,1.2446259893010323,1.240195059442048,1.2404613957770125,1.377000765242237,1.220864095100091,1.1606237399005945,1.3908944472337197,1.4584908040240616,1.1814748480038184,1.2063231375896304,1.6812178718537796,1.3741792146497738,1.2658282083406531,1.1125665484578704,1.0154664849861823,0.9966011940468249,1.0549520764716889,1.029964937726782,1.1275098411741502,1.029921251056297,1.0145697687462094,1.0878441791637217,1.0427331394838089,1.0498840832864964,1.0349615636713096,1.0661770788932992,1.0893120178550304,1.027606273740544,1.103036806985497,1.1417155844204003,1.2009083698313658,1.1407524607612223,1.1989032273724205,1.1815637050504042,1.1768966425361898,1.1241504177573207,1.1468527701067903,1.284576480197538,1.161138492797944,1.1415818650988592,1.2599115756023433,1.265074813936841,1.1998388526159405,1.3114089317898612,1.519255204932353,1.3123038540990157,1.4126079517904917,1.5139576604776255,1.6518761200169385,1.5240547786468295,1.4897354778940335,1.5383733461743965,1.5509769857314264,1.6362041148939233,1.3350630029047224,1.1930897605340611,1.123690846795014,1.139259810046316,1.1866964365169514,1.3727612407622396,1.3681633659205539,1.2011641942734235,0.9042879077505392,0.8906148863962178,0.8557302649565002,0.8724811110592233,0.9561020572311747,0.9086750438610063,0.8745656639407918,0.8765918320743389,0.8666149561136399,0.8905750461991143,0.6934990863837677,0.6689957085025399,0.8794681339421642,0.8886565771021289,0.961728769853575,1.3640719245324413,1.820855492114093],[1.0430764845759555,0.7306412122213987,1.0580983907036206,0.48636604406827955,0.6178358169925645,0.6293121966961639,0.4927293204878066,0.5271119484179917,0.5146155436145322,0.4246198894870874,0.4215707332444585,0.5454932452965683,0.4290606505574994,0.4525091591660194,0.6088470574524603,0.49648434103492084,0.5295698636432927,0.5457876437038595,0.6892564662787711,0.6245003850924796,0.736693603127076,0.8207970963107153,1.0807516565239552,1.1119903630874726,1.0457150690033636,0.8378213626230944,0.7149876890311093,0.5747243525989272,0.5562306747034812,0.475476655654044,0.5668386927892407,0.4901321939609705,0.5388042101704879,0.5121455786191875,0.50005691274323,0.5172246012092319,0.5272348056171651,0.5873929633013163,0.5950743908549248,0.7516696802082516,0.9380050296563798,0.7709990848655287,0.8052155908771096,1.0336622216060745,1.361267252836338,1.3938448613812187,1.7809409784995882,1.0284871464877172,1.3441279060195708,1.5193691212592866,1.3031081179792838,2.1064799384478183,1.9823458009237518,1.7917695881533087,1.841408176211079,1.7043242678576236,1.869833731201423,1.4072336575752218,1.7727684337350014,1.7404576185244083,1.4043415895518903,0.9540441277320437,1.1209031221048473,0.8117316454610871,0.8735913853941136,0.9000949795241457,0.7499458741337413,0.6125007924681374,0.8005665799633889,0.7487374965850486,0.9031398002998484,1.0641770978124074,0.8175485944528464,0.9341394836320344,0.6114815714730656,1.0520745007035799,0.5971715150633268,0.5835888925011896,0.5869019179822819,0.6443655428770296,0.5280701488526272,0.7369479339521353,0.7632495269364121,0.6931265822594713,0.6808729406213734,0.5821226758147294,0.6145374288519369,0.6671809836976637,0.5436125919613767,0.5898942168979754,0.5315998087942274,0.7880154108581954,0.7951169109459957,0.6167413404756268,0.5933583339707833,0.694559748034776,0.7108833724263657,0.5578850624004046,0.5355138664569314,0.7611864202247326,0.5434939173818948,0.6797751150314904,0.554650931499801,0.6319306648059259,0.7216264939072011,0.6573845087857896,0.832566415940059,0.8861744314116016,0.8829943788319013,0.856086431344753,0.7400323215587681,0.5768823507314449,0.5033410328012485,0.49467101599711333,0.4795322823637825,0.5317715241598823,0.5962726913350498,1.465242011136771,0.8992731761666011,0.5850783040003803,0.6275627638963259,0.5846817133759847,0.6982394329704905,0.46396091551311164,0.40094459580337927,0.5515363049106192,0.5959005063743738,0.5771504943522021,0.6336342790432709,0.6381016409681906,0.7162292731784197,0.7403852615536212,0.6352846441044928,0.6441481146375075,0.6120407144094591,0.6177323068867326,0.7502283442293685,0.890759372412391,0.7231176815950029,0.7127529232684503,1.1303268997594509,2.1056398028029935,0.9514402379471081,0.6084500071740057,0.5918766438553144,0.5461329478656951,0.5365948141437304,0.5328603990782766,0.487182011751948,0.49233508668455916,0.6012273726032387,0.5846035717898025,0.7049484025185015,1.3350166804460095,1.082647942501589,0.6702225300706114,0.573904870461703,0.5769221148930391,0.5197379839895867,0.5918517116095015,0.555464921602086,0.5376236464826019,0.6728932243505994,0.7199490345657318,0.7719921019153573,0.9862746821784902,0.9586874748561419,1.3555296566671338,1.4403403557578967,1.1129436266301205,0.8611216389871585,0.7103344672313462,0.6529878448891092,0.6069502646841729,0.5544844153280353,0.5631153088374371,0.5837368211255979,0.6417386054992197,0.5828642131684793,0.6165767415490425,0.6328365172680421,0.6007668126776003,0.6267296580161438,0.6830044594259698,0.6699380130631357,0.7955079913377756,0.9070728278444025,1.1622948981719894,1.984147464977271,1.406979600116387,1.3695641169556982,1.2035017757545092,1.0042370384116928,0.8439646135127421,0.7968488783703856,0.9372784000593435,0.8593790426285159,0.907920679148828,0.970487608496972,1.0098974104111462,1.0186477674354963,0.9264731201314633,0.9021826274593957,0.9957093318032144,1.0261837789106365,0.9271486457315845,1.0102056420183436,1.1137384749176558,1.0252817216315115,0.962859395219634,1.0902115707026707,1.1310668226017413,1.0349084421931358,1.2251881089738776,1.2896191451306824,1.2981085044414333,1.3851390293137966,1.370557635444192,1.2777879569143809,1.33094558182846,1.5093611908597018,1.5835733635444025,1.6412296820267231,1.414713185075837,1.2848649363762124,1.2302265990141754,1.239592541551625,1.2682556481236014,1.3753206356211047,1.2473215270566724,1.2069236810965283,1.4384804132032094,1.4766066889185276,1.225821520314078,1.2847187549027035,1.754557175109649,1.4415817043979484,1.3217691736664616,1.1319606353746214,1.0224650947981055,1.0172453934754169,1.0656909249719992,1.0192484725607116,1.0992658498919294,1.0121736659414626,0.9950220837400838,1.0627625498868136,1.0105309577377977,1.0314113376401193,1.0026563350769773,1.0221887452082095,1.042362644734834,0.9961783289326063,1.0725398129160164,1.1085261651894205,1.1794840234568982,1.1152271947885064,1.1726701216279196,1.16231869403626,1.1545636628523723,1.0916247010783182,1.1297438634023003,1.2600820248115348,1.1384151357846661,1.1270159861681792,1.2473670437477882,1.2552100155402919,1.1962091224929674,1.3149571868179,1.5424592531710142,1.314399026116724,1.411006473904406,1.5585261683480884,1.7021756955814655,1.547972136920383,1.5082628478352502,1.6553634824189891,1.61823934985083,1.6196422440888134,1.3195337355277503,1.1653207963661802,1.0971192656988709,1.139934907598744,1.1920514110262956,1.4041340777547313,1.4098258684303466,1.2438292104508848,0.9112227404483437,0.918638700835173,0.8636810080582322,0.8738865746669101,0.9329851894378487,0.879525088467112,0.8458476621674587,0.8657016821445536,0.8390107293612961,0.8794302209963981,0.7201463402112426,0.6867502079015498,0.880127379889146,0.8077781900198044,0.9656454175637904,1.2315912027294273,1.7116776079408722],[1.2211055249783016,0.6442398362408962,0.9321975114019382,0.4294541657219663,0.7709988600066855,0.6602946008375243,0.5813327219080577,0.5975871711586414,0.5673723388931552,0.5054637556775429,0.5007904139340512,0.5919390283291264,0.5341355688299275,0.5529041418390255,0.7327715876890788,0.6158291410593387,0.6446895040750078,0.6595782168328084,0.7991058135137525,0.7420747089156831,0.8395001707936908,0.921498439473618,1.1606506140537278,1.1835381315212294,1.1309705114240511,0.9251795667107728,0.822328946911808,0.6888961546201199,0.6828334083716819,0.6077242464038922,0.682419055288165,0.5921522172084634,0.6439110187167094,0.6253215989789453,0.6333275380229951,0.6514719308375709,0.6521349780392185,0.7018156065993312,0.711236106023153,0.8764121167192073,1.0033769942527768,0.8747912266862513,0.9113011314740133,1.1585594268738244,1.4256611906157084,1.4326063600493915,1.8448112750591614,1.113872645385133,1.3458883270372513,1.5431146084277532,1.3687112680646738,2.1831563695463725,2.0977462222911547,1.9685500584595281,2.0322851315274577,1.8802133343891612,2.007400053414011,1.5981841739104135,1.9332543262173598,1.9007436286521675,1.5316245064552176,1.065598937418693,1.2251172513779836,0.8964451097973691,0.9414707629433036,1.0319521457238936,0.815027110255259,0.7190872048814019,0.864039502683378,0.8164624428437844,0.9175848960639291,1.0618737315656455,0.847202555458621,0.9682769221771095,0.6830379585747555,1.094633135493837,0.7243688341669314,0.7157821485452679,0.7264755354919026,0.7627916366092691,0.6632204762784464,0.8675994614463348,0.8021086727106969,0.8266022607915313,0.7919251507395819,0.7102709022296467,0.7434911466675883,0.7753872509624111,0.6715048511651447,0.7118834883051378,0.6612807599874374,0.8864237532940745,0.9053925327574385,0.7070270078979384,0.6777101047282719,0.7480467835496831,0.7778579477569253,0.646392105099959,0.6050914812854934,0.7915976583397557,0.6463535009592531,0.7596783936300704,0.6562372422218204,0.7279005835032415,0.8459960453409717,0.7353553942701643,0.8444210932998246,0.9165558840696746,0.9149140091599154,0.8967625900885327,0.7908600253071343,0.6589217557354761,0.6146074792124481,0.6170683801756498,0.6056695426645201,0.6564964572821308,0.6965888207757489,1.5937456734005366,0.9637694476511922,0.6870673439960936,0.7159507632520141,0.6983911758201459,0.8007654588980289,0.5654512723594598,0.4936239081198713,0.6464379469821101,0.6875103329763925,0.6813740893774322,0.7392081797063292,0.7163913355501749,0.7743982309924992,0.7729945076576317,0.6914379640321396,0.7003059281081301,0.6894483030897823,0.6938484951990268,0.7876081399122116,0.9463925802283178,0.7006824112446082,0.8069420068390953,1.1483903332853895,2.023456143973698,0.962900615640492,0.6792920804429714,0.6817749394663413,0.6651011573126627,0.6565258750863882,0.6573438266132231,0.604498930504921,0.5996412681821235,0.6838194769482384,0.6393354911416764,0.7040800256989793,1.301676807017036,1.095577046009722,0.7235304314650174,0.6533080517462666,0.670502457292286,0.6165717757369102,0.6941317784666412,0.6633524136380333,0.6557725649828763,0.7805657121192644,0.8354510449843064,0.872172720359765,1.0676930323362281,1.030693077389682,1.4074359357787058,1.4759850611446483,1.1505321225502345,0.9182182632034308,0.7982738901414592,0.7444346394518481,0.7009512267055183,0.6556596779130214,0.6678317612174829,0.6743165601878133,0.7264045902220341,0.6838240040962645,0.7102449646945708,0.732323211697001,0.6989267865168585,0.7132993702580354,0.7569772317859338,0.748281304430338,0.8781021879060672,0.9999949957919902,1.2498403999395462,2.0281034520012287,1.4502064930636456,1.4192561852572236,1.2417078070836154,1.0512322823339617,0.8884349702098387,0.836760097342076,1.0004065891633096,0.9202811041604169,0.9708862209369086,1.0445700728761333,1.0535954366980316,1.0717259730362867,0.972098489282171,0.9435734631589384,1.0442811159255763,1.0550802275514772,0.9506320201600437,1.0269120389727535,1.1354363007567454,1.0227636100642024,0.9584940193785685,1.0788098741383791,1.1069144286280652,1.0042019467375483,1.1631244868582076,1.2400403057955443,1.2665777556298916,1.3445733715419452,1.391624861932942,1.2925530527781774,1.3278430309786562,1.5029011899656173,1.5874985062569005,1.6867559916484223,1.3900187114129565,1.304182279108272,1.2623872123658706,1.2862136359821377,1.3275389881290598,1.3881220468233901,1.3100724754093322,1.2671497031789116,1.4640946784035649,1.4865845504265338,1.2770309882801236,1.3761437322067485,1.7808689507491124,1.50554007509685,1.3853363740242584,1.1874295015210103,1.0885097508622845,1.0848991757206472,1.123431896815365,1.0687753734569352,1.1232619983253178,1.0591501187757408,1.0374699051135545,1.0916942787260426,1.0223690401779333,1.0481797336483811,1.0118346121956077,1.0019602014112108,1.0134643542904993,0.9741762415356447,1.0538479899107722,1.0602097228718617,1.1430695522159255,1.0746823449876892,1.1341412264648048,1.1471979249640807,1.1500106376952346,1.1089989845703863,1.1444522692469032,1.2501304374535613,1.151810261649969,1.1574325872726967,1.2594461509127977,1.2671428297744807,1.232075278604593,1.3455528386755935,1.5536433197985278,1.3609043729029822,1.4610638421455855,1.6149346440110284,1.7648943022528827,1.5981838631143654,1.5538992477167568,1.8066634952758256,1.7791657639102492,1.6344286424600327,1.3386921027381817,1.1901685809367297,1.1052118612633595,1.1947274975177207,1.2301232793758006,1.4811462796390629,1.490166503404414,1.3387189121696073,0.9614894295003882,0.9764343668827958,0.9245291738578334,0.970862713750195,0.9358680431550408,0.8786214850307706,0.8451722236722344,0.8840585629430282,0.8377463079191456,0.8713592786872076,0.7607113072117533,0.718122996732442,0.9002822787644028,0.6446641692491192,1.2235854881114023,1.074413077843711,1.7428997688998837],[0.9025725939721745,0.6908645810759452,1.0703206687288034,0.5649999743636599,0.6542885475001935,0.6345225300361942,0.5390998118817888,0.5381300515261036,0.5374931792623477,0.481832585713574,0.476043965171372,0.5879727856292718,0.5081109037308902,0.5268884872661088,0.7121247816890761,0.5873449247440171,0.6076840250740522,0.6368315836909944,0.7574011328042858,0.694970989682351,0.7812539029831438,0.860778503810865,1.0883636194884827,1.1001530088188662,1.0393415707088176,0.8637023423760305,0.7751047023674431,0.6452283412311426,0.6497673535806882,0.5706316100624793,0.6529793532164929,0.5622558790183594,0.608339769446255,0.6089257509633301,0.5854288014422938,0.6014797996946819,0.6093985375061899,0.6744376217597182,0.6685782817760466,0.7962224749584326,0.954108030200565,0.8211059726202585,0.8426195821152316,1.072046410746773,1.3848555188581473,1.468226941780926,1.818126650309926,1.1203304702178525,1.4661909626136758,1.5747362573115884,1.3778996126917014,2.171861422409113,1.9907803530143218,1.7219030333434984,1.8063305558366767,1.6940990239674318,1.8679065733097568,1.41159160929427,1.7384775769305354,1.7605009866189818,1.419935701894811,0.9955430508746261,1.0903889157047235,0.8674623516880513,0.940908497229883,0.9370292367324609,0.8122996828687084,0.7030682319816742,0.869820770416354,0.8246798845471999,0.9244439586394089,1.0800817277671633,0.8626118307633631,0.9957551951910801,0.6882389886723178,1.1153890896350283,0.6900818966049058,0.6774807454552122,0.6656436896386584,0.7160383317477945,0.6233911535430581,0.7825352255475483,0.7877255802145768,0.7637531906963623,0.7599676720526142,0.6456242332492506,0.6712043114026923,0.7308375953982068,0.6201468220971188,0.6622857005904235,0.6240901337429673,0.8789549524700692,0.8906621696747071,0.7133280118379862,0.6760980679191082,0.7615462135363952,0.761174192953043,0.6136884035286084,0.5588773721783881,0.7508474974687054,0.5778409857399042,0.7163894042419814,0.587616953375986,0.6230564714441353,0.776456942580858,0.6462002342213587,0.7990106604968157,0.9791599489798332,0.9437628993924106,0.8049153253947766,0.7162343363063006,0.5967283622745033,0.5479910626527825,0.5467632398681418,0.5280784415646405,0.5966560473526765,0.650966605082639,1.3906806069587168,0.9204868159941594,0.6638968167208097,0.7060970141560798,0.6479955472761965,0.7155685378810301,0.5196966017126,0.48601510634947226,0.6542657262246899,0.6057399686316244,0.5915746901460069,0.6499519900287268,0.7310903081582906,0.8313789199547252,0.8103428454809215,0.7205992525751936,0.7117133745005847,0.6610745251752661,0.7086631764543313,0.7192416262194775,1.0405571136398213,0.6951821121818875,0.7732389171264031,1.1393886325449651,2.2492471699072616,1.0517782389407317,0.6938438760542363,0.6597061323077582,0.6262659581896765,0.6151771146034394,0.5789055227994113,0.5295596656954246,0.524871724933587,0.5973091223835222,0.578949757675155,0.648433768889561,1.2944586851869155,1.0774371392424347,0.6504066557560335,0.5811187134520384,0.5812215923159295,0.5530653333026264,0.6090356988267139,0.6048139826241578,0.6075918734326069,0.6849650866678043,0.7299627918334005,0.7377752876482306,0.8928123915648398,0.8440732701384615,1.1754084005952279,1.2771512211075609,0.9711419659394498,0.7669465771371174,0.6681038527726537,0.6711607035794913,0.6440419790294285,0.6021071048905956,0.6226469366211682,0.6658844415411787,0.6705255320205725,0.6471667176974083,0.6349182422879457,0.6651195111633541,0.6340577329639167,0.6572492693447646,0.728717972576266,0.7104593153734468,0.851674662463383,0.9433521642287175,1.222964707214146,2.0381233343535725,1.5628928858903879,1.4266907357018355,1.3955819181898947,1.0550666726587612,0.8783423765335493,0.9203676760880363,1.102387734886612,1.024891927339042,1.0309748630190363,1.0562976533629196,1.0712216455818286,1.0024522868716668,0.8873920349406076,0.8753980689673883,0.9525491944257081,0.9299932691766133,0.8226220777922816,0.9312652621032284,0.9958993438606999,0.8547315895493637,0.805103359451461,0.93028012587976,0.9327666812250326,0.8431829121254683,0.9891295366122692,1.062721885397124,1.0882087038195436,1.1835552983348654,1.2455542825217667,1.1527253266197492,1.159364062369381,1.337135636704961,1.4683983817630781,1.5398514872712064,1.3299328427791435,1.1606950590315603,1.1302808291009845,1.1751974771917226,1.2014299036187528,1.2672754967039135,1.2016343576646535,1.1754338101159225,1.365775771913747,1.404721499115526,1.2194767993671787,1.3395124689135456,1.6833705332383435,1.4585206808934235,1.4194984414790195,1.152046256806087,1.0748349771901688,1.0442542703739566,1.036971956903488,0.9872011960641599,1.0041316703040526,0.9669244202136602,0.935752964271612,0.9515235409191005,0.8875668394376968,0.9210516029597683,0.8628423351764551,0.8390454430265466,0.876499327026125,0.814877363687726,0.8718305013184833,0.8926654598218564,1.0113836761366684,0.8910741376237762,0.9359298493004633,0.9528305671586934,0.9551080625153988,0.9446796287322068,0.9795941241430157,1.0695703898785713,0.993524816913668,1.023886559579438,1.1128480722311762,1.125402377249716,1.114064546177254,1.2250184466515939,1.4508871000330703,1.2640279919353858,1.35322150401019,1.5118694903160237,1.694543433230532,1.5294968930632402,1.4862641631945475,1.7903156007054954,1.8010240541478666,1.5439775865285887,1.2487027155456114,1.079218796678441,0.9296520914901136,1.0411831267763698,1.2560568975855053,1.5568854510797194,1.7597694226656206,1.4615709449449394,0.9242296494011345,0.9777152843620144,0.7760952747227534,0.7827891341749389,0.8375435653731225,0.7449592190738757,0.7530393139505763,0.7651091507713649,0.6787038775441278,0.7438688712637783,0.6893901916367401,0.6543870698814571,0.7839380887683469,0.6724443588883912,1.1828879227490903,1.0897969952061555,1.5948414847629417],[1.0699642374609926,0.666667677282717,0.9847793569459871,0.40950298379748695,0.7055964629837577,0.5278578029971893,0.4810096186854911,0.4728059665194364,0.4759194774442,0.4548424936762524,0.46193907228738484,0.5271523963531421,0.5324407908938757,0.5836914868018949,0.8436387265127024,0.6961722841714011,0.7422440022454333,0.8097876410527679,0.9731672713332732,0.9248474908146675,1.052950204875154,1.0866956979282507,1.3835401052122527,1.3903318158350872,1.3167808974384358,1.1239686091273475,0.9931213920790796,0.8323444563894171,0.8108119714263788,0.681576182905862,0.8129179909131699,0.6291604475582697,0.6950434955941713,0.7335005635807107,0.7157611381962183,0.7668219388457344,0.7176671431660249,0.7992797982356044,0.811894957142654,0.9639724436002722,1.0974244400007938,1.0204284572079823,1.0675604688021518,1.3794695875503675,1.6729919597491687,1.7129003383316022,2.182313254048171,1.4020459669787673,1.4595816203862386,1.6793702615888497,1.530480317169861,2.3608730521658154,2.2125962466978564,2.03652644115301,2.122002218524251,2.025080138518846,2.173678358162353,1.7558136505553212,2.018449573125306,2.094957694661635,1.724813406012843,1.259158049345423,1.2620950217637974,1.0707785705754735,1.184891756871592,1.184122566469667,1.028144757096178,0.9248755016951953,1.0658369850855172,1.0134177373374509,1.069623418584819,1.2256663585780148,1.0300825689200537,1.1685507409077374,0.8834222916928793,1.264745354986113,0.9359547523452639,0.890407362419374,0.8674564785419082,0.9260746547183966,0.7646218743390231,0.9013152812960825,0.8066647874085263,0.874392676503396,0.8485216637751369,0.7529560755818063,0.8277089293725691,0.8241938020522181,0.8028278433729341,0.8124157302575481,0.8227018641303,1.0966769305938406,1.0860606638007189,0.8538556714045124,0.7836287402398535,0.8429316182979193,0.8329017997455915,0.6760431806104243,0.5660938701404612,0.6857818763451858,0.5888429432812966,0.6453848014370479,0.5742462459643274,0.6065607689418541,0.778330255858488,0.6138670492193301,0.6914535372828173,0.8572473138488665,0.8269796131798481,0.7275462127153606,0.6182314426032559,0.5265012174536566,0.5200008698399611,0.5653898069388029,0.5999879344313185,0.7134559913453503,0.7988230272003771,1.5291274702253295,1.149625184810579,0.8457516052683711,0.8495661090333851,0.788183994971023,0.8551593635595817,0.5940839211053048,0.4439853991366487,0.595391535313054,0.5416278366625034,0.5598227213010363,0.603886422693847,0.6475593896225528,0.7499518019429252,0.7052499692965942,0.651542171823452,0.6293920912958251,0.6178807007743747,0.6484519097830878,0.683855640547648,0.9955398829895196,0.6250692945839869,0.8868296565299134,1.2240991145132387,2.1651165822114304,1.1308129168812313,0.7905254601225534,0.7630515856015961,0.7161341623427516,0.6741968714464304,0.6397882235793988,0.5414734938354266,0.515505406174481,0.5473496747154191,0.5259288237732285,0.5679541628875584,1.2360619095016134,1.0554561773165378,0.5982861684066343,0.5545443982582065,0.545808199176983,0.5361731907039025,0.593103165441707,0.6050941126727982,0.6636107875917714,0.7799128354027415,0.8581323731996102,0.8645212513646731,1.013549129093989,0.9776069167285228,1.3498252687120778,1.3919578761788276,1.0390837680372282,0.8198279791687317,0.7162851171712243,0.6989146061122734,0.6499853919714118,0.6234319033306297,0.6068630608908965,0.6412910320334655,0.6414871755157481,0.6527079414204676,0.6242960155724715,0.7163039663344495,0.6115521310707168,0.652209038399599,0.7194534954848072,0.7337069884362053,0.9336012809718929,1.0706437365627275,1.3780459097688038,2.0936919195446615,1.6005246472486978,1.5333940969509352,1.4033650356608476,1.124419218770539,0.9092222873625512,0.926702860757698,1.1410796558727776,1.0244617893022898,1.0258334036774184,1.0725821258901382,1.0310751544037735,1.0309302026918983,0.8791972044497969,0.8345955145141685,0.9668446839441754,0.9606893659910847,0.8200020732777507,0.9134550229755409,1.0376381815950564,0.8891754974972786,0.8165328095211614,0.9653748868119025,0.9902411057421158,0.8652142760507521,1.0274220763634274,1.1301450008366234,1.1594232796719444,1.2804130442446036,1.3974104589215073,1.268837102834249,1.2952402298730168,1.4841452090387324,1.5856845816569176,1.7119473123900502,1.3656737090007076,1.263968315295763,1.2297470417491276,1.2438563766949997,1.3320017085830225,1.3861888215670968,1.3029131538166359,1.2718909584145486,1.5065387285290714,1.5067437067654739,1.3147168230364386,1.4669886167391208,1.8174689730990758,1.5896809504041305,1.4471467278164991,1.2063761469061056,1.1034568969646548,1.0938602597687126,1.0915174180236464,1.0109188888939493,1.0307545137101874,0.9624649906736198,0.9402696534446356,0.9862792080879011,0.8845261011117335,0.9014468199214148,0.8665794168487665,0.8396044369055807,0.8651157838003538,0.8209615335485989,0.9104014389686047,0.9069447749861098,1.017771919864412,0.9360116496531439,0.9960148037166581,1.0331296824975917,1.0360195703403037,1.0020926647324357,1.0671712840651013,1.1753262599264833,1.0713873636093687,1.1066609645283079,1.2340527161608248,1.2424304682041354,1.2011690511957975,1.359411976006134,1.5829978356088052,1.386305783624607,1.4767527799250209,1.7090266790491642,1.8445989292394303,1.6728572543176723,1.5965735829031156,1.9939873486275053,1.915199737178974,1.6772318495786864,1.3028218106799898,1.1267942970437272,0.9642134126676485,1.0879487217260886,1.185731430326876,1.505970750345427,1.5858406804117433,1.4420245777287637,0.8597204730823388,0.9272673556024396,0.7563371542695597,0.8376230993802972,0.7535769624238692,0.6941641964863892,0.6763356282755245,0.6813530384422053,0.648015759489268,0.67809540257975,0.6320842250241371,0.6263552909197256,0.7751595131395289,0.5695346261149723,1.3192781437419634,1.1476368039407476,1.647257087070222],[0.8188307239084631,0.6461424538721066,0.9937222287994104,0.42641121949012595,0.6285494239274115,0.46477577475176474,0.4371922393957561,0.43537793443244494,0.4898340349492112,0.47059450400165215,0.4890437656866864,0.520741453616932,0.534541978447639,0.6082264605908843,0.8854055107784675,0.7282134668599897,0.7557270872830094,0.8260272365841198,0.9741199560742756,0.9090864028238658,1.0342660728808515,1.0520977988157163,1.3406700937929195,1.340823503742106,1.2473716357188227,1.0906946305287093,0.9453330711349319,0.814321801640352,0.7999362954429883,0.685460023407102,0.8536685622408801,0.6460745915319973,0.7357013976197189,0.7721936078873765,0.7250430253304455,0.766623747848999,0.7025735018104448,0.7689867571328979,0.7578456137482091,0.8768925130315315,1.0188176915323672,0.9593065868636809,0.9960400509038997,1.3016898266817056,1.6248811683810895,1.7266136232726776,2.1553230105776446,1.3830890789494656,1.535794957406368,1.6871501845451575,1.5209333898763793,2.348533601310348,2.132855805214922,1.8424813348978546,1.9412737594718321,1.8965968008310514,2.083011266726302,1.6221350580402645,1.881659127129376,1.9949969110233343,1.6628685773533298,1.2481544193721392,1.1956285163737712,1.0718206777838872,1.2014621335400293,1.1413124920602409,1.0436497230568111,0.9492212803650265,1.0952496517129087,1.0681815381192103,1.1060085549241703,1.2681749283784376,1.0842582294862053,1.2056856598353758,0.9327225687444218,1.3230353661185943,0.9546379033043665,0.919199347580174,0.8746262287439903,0.9019947425974768,0.7427458891805003,0.8349438537185984,0.8042713902668117,0.788601965881198,0.787052060980208,0.692105872985989,0.7865787621047012,0.7967055877086271,0.7959156247988796,0.8255875965212166,0.8556382733456034,1.164135851345861,1.1517312648208509,0.9186343696022045,0.8343348230959671,0.913076767350214,0.8849991126155523,0.7118322713093962,0.5831385318824278,0.6759153399658837,0.5816814030803008,0.5947374500555456,0.5377550853925401,0.5243326818895445,0.6622850528480261,0.5493664835625877,0.6425989667636625,0.8879920531826043,0.8286406325069655,0.6582586889390358,0.5412373462722337,0.4665359773194197,0.46028672270999377,0.497380684728459,0.5664784275280641,0.6743009439836724,0.7772578653047658,1.3798330130292296,1.1528446467462574,0.8605799628327665,0.872356733521273,0.7958765263063229,0.8341075740699682,0.5768615991671396,0.42069618307471934,0.5468552799560648,0.47331664644853877,0.48966240784978066,0.5339469025834427,0.6572345048904922,0.7972972637013915,0.7421195400367081,0.6702127757763464,0.619501517884083,0.5976327069313663,0.6369292749450408,0.6471124520083538,0.9570453957625664,0.5824819509177055,0.7951458905451595,1.0764445766995987,2.2741939482561953,1.1316884955844209,0.7367552450639949,0.7142953030155684,0.6643098070324199,0.6144540120028972,0.5938507387636366,0.4838632610385639,0.46742264576999426,0.48952088515156045,0.5076205453698865,0.5511038460009532,1.2473846709137482,1.0862022553088095,0.5569494129735215,0.5219109803462616,0.48341081123480517,0.5020268051612442,0.531088685757136,0.5394542569378551,0.602897576308843,0.687789797951726,0.7681760059799732,0.7593100626347636,0.8584917234694871,0.80302277022244,1.1333717430955699,1.19269862782193,0.8741964995759525,0.6914405891464575,0.5974948653583686,0.6131700360400117,0.5808695155346932,0.5640662705092669,0.5494079810957632,0.615111926857543,0.5908939619027185,0.6000597657872804,0.5479579488933174,0.6408571332875194,0.5356431859085462,0.5809038791221574,0.6498692816890909,0.6683586367516714,0.880383645624967,0.9957256075314697,1.3270525157628892,2.086746068785385,1.6731982444017413,1.5159553917552597,1.5655977459680546,1.1188678177313933,0.9099579963073834,1.0049400517172447,1.2158297352566396,1.1042963072749874,1.0951110935397959,1.0967793312809224,1.0463624373559879,0.9868535069101397,0.812248612156118,0.7765439440721975,0.9010989932492691,0.859762909640752,0.7183792942888297,0.8354801772749679,0.9251811122698046,0.7538764570784027,0.6985363050583128,0.8463769741261005,0.8448886777877685,0.7372904940041485,0.8851818953468382,0.9924487023839159,1.0170624612664112,1.117741040445662,1.2632001559994739,1.1407309901711913,1.1341949105832017,1.3264390157685668,1.4679371760035145,1.5681641595188636,1.3023373809116032,1.1595916663288046,1.1294565597534953,1.1640973927933822,1.2466356003058734,1.2904198228424875,1.2270003398658773,1.213164294117574,1.470522099944874,1.4739462814731519,1.2846031837603116,1.4428237462917368,1.7506282932052473,1.5698993308844607,1.4902169318766447,1.1975532832571696,1.115437693026926,1.0867204872809637,1.033760371378583,0.9601968678516881,0.9435554681051247,0.8850663463234021,0.8646538145243758,0.8596014925913206,0.778269007198774,0.792221842055406,0.7459498394898915,0.707821070002949,0.7681322689487208,0.6926078518531377,0.7576124055313783,0.7701039782948812,0.9122039128794499,0.7781383100707492,0.8228394050247594,0.8639228176439101,0.8762634654287409,0.8707010136570187,0.9416239300067584,1.0187467070285046,0.9408383056482288,1.0042881659345686,1.1153786904946856,1.1294222038918706,1.119913211329868,1.2690466099945121,1.5016748309185495,1.3205729298870095,1.40439530915175,1.6261012281948763,1.7875561587179876,1.6255480886590876,1.556711185515742,1.9825740267451997,1.9487492059231037,1.5890932691222157,1.2236149833979215,1.03792491938438,0.8401458905762024,0.9792833219067335,1.185303983011009,1.546179145290153,1.7698393517451256,1.554438547705337,0.8142401144825062,0.9271827737506723,0.635396991253632,0.7062435382239591,0.6538228509145938,0.5765765296609826,0.6649317345135499,0.5670053256227878,0.5367345566273951,0.5761892184543849,0.5546625356658669,0.582461572906596,0.7171191516011508,0.5265621513981898,1.318380659198326,1.2088733284809365,1.6451409048668568],[0.8345358349928004,0.6539605120017887,1.0068802965407175,0.4258975133578571,0.6018383983806497,0.4640629814071397,0.4278247564126605,0.4239597850016831,0.46739853542610915,0.44241481444965086,0.456488510129413,0.513228863608316,0.5031652466997173,0.5711790950413635,0.8278983476429225,0.6665502573347362,0.6814172284996247,0.7266490179583415,0.8501694183933376,0.7925404206583825,0.8849532634398711,0.9290708624619493,1.1772003878696187,1.172739365500226,1.1249176637747964,0.9549185740324322,0.8374783614040612,0.7173877028412292,0.7169376842584678,0.6163110886786933,0.764092863471421,0.5852573023907331,0.6604056854787913,0.6805773616945504,0.6499830984019435,0.6792908612206704,0.6413060582097733,0.691083239940379,0.6808386324410893,0.7911060185486399,0.9516197022197426,0.8582481132256811,0.8843391995974232,1.136189582201069,1.444766919488365,1.51056809459552,1.8902260068286516,1.1664036211386368,1.4433885419971857,1.5555348782392806,1.367373388676195,2.1986564383631837,2.015124216630165,1.7476140975983212,1.8536658164299475,1.7676366175006706,1.9487532116473008,1.5029811361858472,1.815394524210661,1.8486030630915093,1.5124581936322155,1.1055264478443596,1.1639962721775137,0.9313794595321329,1.0208068456960246,1.0383008815726287,0.8980582370248289,0.8119006414946961,0.962378599517288,0.9386303464461971,0.9979150072291515,1.1452689138188026,0.9513278006000997,1.06741656905081,0.8001920679989621,1.1869461790168772,0.8177531541613908,0.7924820225633822,0.767114308070489,0.7922785018366048,0.6513253912857462,0.7605484345684665,0.777443200796618,0.7301325995687901,0.7222021231268618,0.6311211153264592,0.7052370480112298,0.7372297210910478,0.6972499523999821,0.7367794226239017,0.7431789009853823,1.0193664055442064,1.0301058775933845,0.8227541565986256,0.7625239800363967,0.8367800958142,0.8336485546374646,0.660235234757899,0.5499675341261037,0.6603793282388652,0.547807806560552,0.5902873424368529,0.5128153550864459,0.5161345749352833,0.6416142441282982,0.5348316759989531,0.6502340013612452,0.8889040792442311,0.8350764751846051,0.6614438375583492,0.5415825088339359,0.4550254520679154,0.449799464767625,0.47685908156298923,0.5396560659052902,0.633302417043094,0.7099588762505393,1.4395058458067886,1.0153167750273167,0.7554757355808657,0.7854303962525232,0.7467975886424061,0.7994604291078128,0.5477449998087708,0.40661662277548055,0.5398299052068174,0.4662169505780697,0.4719183913236395,0.5251711900643024,0.6431118230108663,0.7836402444458067,0.738316609646556,0.6440090604405836,0.6056000728282501,0.5653063423868887,0.6113235235045488,0.6192281482988327,0.9398007520645667,0.6076181598111009,0.7444742892642523,1.0830052661375384,2.25101658101064,1.0603616467544579,0.6865589685371486,0.6593718134897398,0.6121036698287677,0.5791501558220431,0.5607482927098891,0.45902204335745034,0.4514585335472114,0.48399221982485774,0.49379652853683265,0.5401666344816426,1.2204785497031656,1.0473757129901093,0.5546818027661676,0.5105354682774855,0.47441847196077713,0.48187747854770707,0.5129329542590713,0.5144016850408785,0.5627048937249765,0.6396608455336139,0.6932546635913085,0.6792645803665253,0.8008317560143753,0.7444705939115922,1.0764286153399911,1.1759469371953346,0.874774363466697,0.6585499552136214,0.555815132195003,0.5689344842797499,0.5389940015287671,0.51679102583315,0.521484369445984,0.5868430930352222,0.5726947466798481,0.5638398700969766,0.5143442204914193,0.5810693233755637,0.5079876809647834,0.5353455712808004,0.6156545569916807,0.620348691648328,0.8066409647210672,0.9166849709914302,1.2108148321693784,2.0111614634880524,1.5579937064021356,1.4151648663058758,1.4592253073079424,1.0550382240649279,0.8658456556347937,0.9588766247193814,1.1524257019365067,1.0551874367860665,1.0617784105702774,1.0669383196163502,1.0310333681488673,0.9505613779577577,0.7854479022186841,0.7571061328774619,0.8634917667438338,0.8135171020707709,0.682526431971094,0.7946295334608806,0.8666226521600562,0.7016093691203824,0.6479722570412324,0.7926687721829646,0.782810787956218,0.685160604752722,0.8208432904801231,0.9156485592340304,0.9274830580875371,1.0297853532576156,1.1699266063311333,1.0650285952945902,1.0436713722141875,1.2224126058901732,1.4169730773593803,1.472193602365132,1.2886794485634099,1.0963531380904057,1.0703125362101567,1.1176663756787277,1.1708048725941695,1.2115018742697787,1.1604456304971238,1.146890191168581,1.3865915348927675,1.407609411224223,1.2167821228795155,1.3601095158487337,1.6317924940106208,1.4810864606027137,1.4562652165060765,1.15087157082136,1.0763084870394315,1.0440465182777023,0.9944669682980308,0.9336188198303592,0.9206778122399115,0.8715537437692183,0.841808464625577,0.8259495945223668,0.7593163838794024,0.7727456794079655,0.7116380616794235,0.6739358439622913,0.7418547213898197,0.6541666434650019,0.705976603285315,0.7211115792385981,0.8727122911263284,0.7108751788017643,0.7466683265170918,0.790978019760642,0.8096254664157301,0.8215815919332243,0.8827788190661494,0.9401691711145863,0.8808653531607548,0.9483379283559927,1.0380472604620838,1.059962079813248,1.0566499766116055,1.1862649606146276,1.4298439084986387,1.25811145417278,1.3186127740412557,1.5038914175743976,1.6897777014485051,1.5426248160007017,1.4995481977504206,1.9088770196189637,1.9480877111057049,1.5002149718978104,1.1572125251050644,0.9846694261135176,0.7761286419570389,0.9144398931347082,1.1754595199110491,1.5507716480565235,1.854567947764765,1.5794146797742006,0.8106765564734758,0.9173572126398519,0.62297147461589,0.6786096458311167,0.6460043668477898,0.5596905938241099,0.6667974657517968,0.55219043745777,0.5050511718814961,0.5521388951489332,0.5741075651938561,0.5665749941812894,0.6804617724829205,0.5222630597037039,1.406084404458755,1.2732005677073917,1.7220594171354169],[1.1625046421141634,0.6923815046770792,0.9740892008607356,0.36718259114438573,0.8693764721468226,0.5817716969548089,0.5905172322675797,0.5858665744216055,0.5782174595654169,0.5811005004382149,0.5924761836326347,0.6324846810895397,0.6772769661475556,0.7195885908852448,0.9809425310520291,0.8411738977738062,0.8917771064258726,0.9548802791527945,1.1023633761045701,1.05778627544785,1.162672759267272,1.1788662362037652,1.4574731616319279,1.4502239743636778,1.421717397033663,1.2272641439848924,1.1185734142558088,0.9755182084528142,0.9663931989792992,0.8341306711911094,0.9549047421744855,0.776917994373181,0.8334389910728368,0.8756309690268507,0.8734440383077814,0.9164505867462972,0.8769695904693613,0.9446462656758353,0.9444710876646506,1.0915300294027197,1.1998948314125786,1.1395604851677372,1.1835333126508156,1.4651939378035403,1.6956643778956604,1.6653838118157598,2.1240776174116,1.4082993685745273,1.4271524200354353,1.6594767891927056,1.534936018740042,2.364424464661192,2.2670272045559803,2.1906512643277813,2.3036680272103465,2.1505237812158646,2.252958517274847,1.9209787317246507,2.2016861060267385,2.1870117373981395,1.8039828929960664,1.3399307959879632,1.4418593557686061,1.1724118804159607,1.2151882255517255,1.3251849453330524,1.1212865402595713,1.0427727907645123,1.1635059953704239,1.1086081383689552,1.1319807856844302,1.2558311635938293,1.090711126315242,1.218289127109496,0.9907716338912661,1.3225747617947603,1.0618607253635344,1.0222239855509119,1.012735559716585,1.0566814223902505,0.9098718580074309,1.0419297186970766,0.8902939815937598,1.0022821126903807,0.9600602637124512,0.9046503853242821,0.9731489648386576,0.9575235822415967,0.944122208320801,0.9587786947096346,0.9664637371946182,1.194232571293958,1.19418499409528,0.9799220475284722,0.9147433661962311,0.9362653070354264,0.9498474896593504,0.8283228838054374,0.7152374915031087,0.7770024380115987,0.7368421485123579,0.743724382951327,0.711103312936717,0.7263741250308884,0.8896798250773117,0.696838273976986,0.7177564585525096,0.8616266753738733,0.8216009581542963,0.7726849860761638,0.6679551525046571,0.6355840124463412,0.6638686477207066,0.7308314395258401,0.776528830007506,0.8792355448689889,0.9529807974761444,1.792510476903881,1.2377282493913588,0.9794045567695232,0.9626164331951667,0.9437074287987807,1.0034254913317902,0.7362052942435364,0.5802340295316775,0.7158153179895189,0.6321621862764364,0.6583984414753739,0.673650477674268,0.6870214888212715,0.7656349078591225,0.7164753805783827,0.6746764003474854,0.6643405921004316,0.6616087062658595,0.7077943071971403,0.7153747088473269,1.051954357710256,0.7494074774767842,1.028314636663552,1.4037568198568604,2.054591753653465,1.1612357131432993,0.9256522282151103,0.8899487756004351,0.8780491748857349,0.841740399314316,0.798943524348354,0.6944061973735111,0.6659431547148499,0.6681081733979405,0.6133756744771472,0.6108894041413521,1.2175017288737768,1.0712479258321481,0.7049249355873691,0.6932772998320064,0.6839929141913151,0.6809542608784437,0.7164654498886014,0.7298112086515455,0.8104743491355035,0.9239745779528429,0.9961347519593031,0.9812153811353701,1.121127249704002,1.0551048247328094,1.3936162181969436,1.4178911166441739,1.1092950654520473,0.8883929926434512,0.8346921722887678,0.8021062953384835,0.759441665147898,0.7484066769605393,0.7316070961333564,0.7660358758904557,0.7573075440576672,0.7757923413415406,0.7473628415713482,0.822786941667015,0.7078879390585192,0.7201213834068549,0.7733197887106524,0.8034976483261986,1.0030052077701281,1.1626315173143829,1.4189633587660502,2.1189085404948536,1.5712307670490449,1.5309064937096475,1.3992808838267998,1.1300220687885036,0.9186866415904242,0.9184114929286444,1.1334346266265023,1.0346780381167011,1.0553084405690933,1.1082546574156193,1.0498623137996284,1.0491213022113746,0.8887549075013979,0.83552776504104,0.9683656638250443,0.9491779387028871,0.8020799334602193,0.8822689879918543,1.0131883091159943,0.8552785386448137,0.7728074937340406,0.9247988223077712,0.9418507235487942,0.8025407743847458,0.9424992096156515,1.0514635342557133,1.0638925272683208,1.220751597230776,1.3850744882198118,1.256133038454941,1.2604816964537333,1.4403375713152318,1.5808215760460664,1.7029669799030729,1.3436065216902975,1.2527636323091011,1.2277118860549414,1.2475657133702147,1.3367194651174663,1.3704239231055384,1.307883331129127,1.2811973672902328,1.5178243860582363,1.5136622698271591,1.3241404063981477,1.4779839020765,1.778715999429438,1.6073114160948236,1.478345069838149,1.227029038503629,1.133500583414557,1.121907913245269,1.1051649444016227,1.023566142931205,1.03681647384128,0.9721135604236266,0.9463314144282294,0.9777319574197223,0.8790437099897804,0.8946743892058033,0.8484575706919034,0.8088766469650489,0.8342256091852557,0.788816621688671,0.8719559149931231,0.8559387443740778,0.9724752599240251,0.8728890158928148,0.9307627157096517,0.9870281566122703,1.0096478734086742,0.9937651641133365,1.064220951909002,1.1394779901464318,1.0557205503834846,1.1117005161661517,1.226431181333858,1.2387064722654397,1.2058953256389309,1.3566582499234676,1.5827630353881674,1.410238761273276,1.4585523682031627,1.696042822745912,1.852796229703977,1.7017164020236464,1.6313866381155653,2.127434499395824,2.1170585729530274,1.6849146274550988,1.2517304641878713,1.1025570824495898,0.8998985943208105,1.0149877801426426,1.1578320267152356,1.5284983561611964,1.6715953899374547,1.557312714800556,0.8519642620616036,0.9411455103554281,0.7774290090584537,0.8950176245619608,0.7450138299236865,0.6871971067884446,0.6972440510659585,0.6892532515945029,0.6513344902077852,0.6802924918506044,0.7155630387030564,0.7005202666393344,0.7887082922761044,0.5960303859242592,1.653442319855986,1.442357071210161,1.9541527127079785],[1.071594189917628,0.6716130642012172,0.9886961159021389,0.36196003819218037,0.8263819879064493,0.5107474347552741,0.5252073911086429,0.5342675488670033,0.5508114486137524,0.5784204580329181,0.6001194450949318,0.6113651074375737,0.6902633124303523,0.752906289084986,1.0667510799719302,0.910210512422711,0.9606365177181736,1.0641239964565565,1.2216009753731463,1.175634487471878,1.3148727543973968,1.315841029022516,1.6221832240638128,1.6045805319895747,1.5310534603686574,1.360778506100464,1.2224917538232574,1.0627029209768157,1.0429041326513886,0.8944253868930464,1.060439854943256,0.839498142664918,0.9222554502881133,0.9789657631855507,0.9512741991026892,1.0081479858060958,0.9282062984194198,1.0085291639358143,1.0020548655569632,1.1423665813163253,1.248935529105601,1.2307851086330428,1.280980310392473,1.6224068358127297,1.8673911643705992,1.9064393293905177,2.3958030517926963,1.6501136528795886,1.6081138973809117,1.8610300560216348,1.737505785173139,2.5593147870694377,2.400758159321746,2.236652004879967,2.3458144174617805,2.2667264901174833,2.387443535559304,2.0250942681352293,2.2445951435132923,2.342610109654299,1.9587283117286731,1.486305080427604,1.476157725827031,1.3145356907116263,1.3945773168153273,1.428251491024942,1.279417177582089,1.1912304078379554,1.3190089392326476,1.2666813817716562,1.2739712048225633,1.4220286951203074,1.2577492548217406,1.3849917062229276,1.1442399882319056,1.4743219334972384,1.2154695296565254,1.1648715522463033,1.1313479827621926,1.169407510569456,0.9900470037744952,1.085362689214006,0.9430770493984199,1.0379093501414391,0.9963814620762649,0.9386977178853397,1.0353313791274346,1.0104830520013675,1.0428564577798556,1.046634896784272,1.098300445196783,1.3628371954277396,1.3444502275228307,1.108603941408873,1.0123419744756932,1.0396879512311332,1.0332513706758022,0.8992268817289847,0.7509690959679077,0.7536921585569654,0.7510926222206844,0.7062611332589317,0.6850266356968578,0.6797952080490152,0.8483709244607709,0.6601095405912054,0.6760396278777153,0.8733455971365701,0.8054327535492565,0.7051660092355198,0.5907166048374252,0.5848014705064488,0.615692811662062,0.6917229168425212,0.7787330729347315,0.8945163885299752,1.0085537855606586,1.6829536707456,1.3703188413202843,1.0883247859076202,1.0539469446357554,1.0009006863730845,1.024267377989341,0.7401902127721606,0.5446728915545368,0.6643617255993113,0.5633021318608469,0.6014488305665914,0.6187603740629926,0.6854160689185678,0.8091570241177717,0.7503480290306912,0.7120090044355691,0.6679272876641563,0.6654229442041414,0.6875486146555152,0.708649454318365,1.0368574997225135,0.6930793862857861,1.0349895201661308,1.4463900779626935,2.1069345896387865,1.245334485753848,0.9594590204202811,0.9203415018337264,0.8999491141046584,0.8379583357450001,0.7981829404979685,0.6738316970819457,0.6380150168998657,0.616349053872532,0.5842906595483895,0.5814808728537548,1.201383610526719,1.0857047223366902,0.6650485830041593,0.6717625715367918,0.6492447270253195,0.6652015804005766,0.6727528942276501,0.7013210496151646,0.8157253756557272,0.9011812367714085,1.005167797295388,0.9602492364420411,1.059684081789236,0.9963336713404514,1.3125362086543348,1.320651269458124,0.9796340496671202,0.8102662372094325,0.7621254316461571,0.7711539805407504,0.7387760444380388,0.7429956117196146,0.7115582376154842,0.7532835211873061,0.7409407724877918,0.7790293730449326,0.7385878112788461,0.823161448241356,0.6712953032408613,0.7180653586962745,0.7746968265291001,0.8079735557862084,1.039431375587651,1.202928511443997,1.5165449573036613,2.1491354382641497,1.7090528009397479,1.635093921389965,1.552933749749032,1.2059691655807425,0.9805016710439516,1.0397233853297478,1.2856498222769581,1.1672550361023,1.156550428799315,1.1723915907954416,1.0809944829623217,1.0794636387747314,0.88354873544679,0.8139251940545253,0.9674638072487896,0.9386133733309865,0.7640891335576214,0.8510369542406674,0.9918659289183418,0.8165708933142393,0.7274709830174775,0.8922796734926528,0.9064983882525396,0.7592184739368144,0.9085139570579271,1.0266794973211262,1.0468290208906912,1.2064470127591023,1.4045057027332433,1.2627141153689574,1.2673558249156678,1.4770433253257067,1.6054045791761,1.7628282933957116,1.344986949039082,1.2770420804022908,1.266947576161602,1.2796440218118905,1.409725164255784,1.4343778739137758,1.3637843656845114,1.3517989106458201,1.6188933255982831,1.5942269750488045,1.416731105284062,1.6109813551435985,1.884599642227254,1.7239744539553423,1.5744266587434663,1.2954960990059803,1.2148626807189395,1.1900010770750993,1.1427163884910778,1.049200211300941,1.0432883582361185,0.9667169928122212,0.9459069183983849,0.9587514650727477,0.8481322083133869,0.8543595453768902,0.809611000908209,0.7573174734826895,0.7862920519396237,0.7335277890321227,0.8209088093129915,0.7969521129804332,0.9286780489223266,0.8221811079333088,0.8840349971328442,0.9579309047116908,0.988966243597352,0.9761508537345762,1.0745627019320219,1.14217518881285,1.0493078926632182,1.1314382093368034,1.2589838517642593,1.2592856786148348,1.237058731721292,1.4187339508784667,1.6296343597526692,1.4553793166500484,1.5204570311256873,1.8016265221185779,1.9329402962671804,1.7742261483661477,1.6683247094805864,2.212311356117281,2.120528241828608,1.716893212596018,1.2495262061495627,1.0907169957524117,0.8646708632496367,0.9942213152310357,1.1402263524746326,1.5124732355221966,1.656072866766473,1.6048099791974648,0.8195998748382096,0.9507691279616102,0.6980100497565095,0.8391275520499198,0.6716436330127294,0.6174834068520734,0.6492767990345948,0.6007971080966547,0.5815393428614798,0.5971583452067578,0.6546177017971861,0.6543240464805714,0.7276013134938613,0.5550009798076968,1.6283268237806514,1.5018403026168894,1.9203503540505278],[0.927565266400596,0.6920782766195256,1.032152717101572,0.430871862831218,0.7895980586020186,0.5068394712190913,0.5383811383069751,0.5574013218526832,0.596909341074627,0.6240205085683914,0.6537108307128654,0.6492483334270905,0.7201900543011316,0.798701232701895,1.1103698858287667,0.9402733983142029,0.9742428825126166,1.05754706986581,1.1872926844188256,1.1187309560844412,1.2313224343077178,1.2162701923793873,1.497116988933121,1.460986125429694,1.4122793109170875,1.2714744071579336,1.1444871225662132,1.0213099745759977,1.0221451212504462,0.8899756601979409,1.0754684060916058,0.8539252113712574,0.9463018938502439,0.9831375015976329,0.9418481637147994,0.9863918726090947,0.9034532196625862,0.9565587087137792,0.9243080544964541,1.0269888330488535,1.1449596311369934,1.1328339643145928,1.1614584098938912,1.4544359237791613,1.6987056194095,1.7370753690213012,2.1757641341461875,1.4580178818831688,1.533708136572484,1.7101092426240558,1.5699974968123096,2.4136771823920906,2.2397486690585087,2.0256986290657033,2.1667590273521626,2.09355430952415,2.2299981983364074,1.8759625197403782,2.129127018456969,2.1821027394983052,1.829346551965623,1.388234417965535,1.4280636658401458,1.2278024459119787,1.290306590471974,1.3540870660197897,1.2139245957741818,1.1550441800308369,1.2918734204945346,1.2654327544417845,1.2688846849662074,1.4062575627425715,1.2502902517091274,1.350443371897417,1.1291916129543866,1.4416934242299642,1.1688780702629058,1.1307331872417463,1.0834315737415392,1.0915529733002298,0.931700221736363,1.004444856261989,0.9120768713662148,0.9367195259317415,0.9080892363003688,0.8670026067341888,0.9707863144458214,0.9708138051445047,0.9986394600428299,1.0260045416502641,1.0853146870342267,1.3534342576498957,1.3553411656711998,1.1349633848766438,1.0461745695948137,1.0805239761782013,1.0776445727501438,0.9429065751213511,0.7974150940426272,0.7840308572464018,0.7726925434708452,0.6952148981020057,0.6642357127549128,0.6415099450356133,0.756778793892976,0.621042440939357,0.6642964353065137,0.9201522881220736,0.8361015619294979,0.6683319025567047,0.5466163615513429,0.5469238531539682,0.6019705917917461,0.6602426536407097,0.7854579833372848,0.8881670867874173,0.9992816165475489,1.686614856874379,1.3280589890777692,1.0796470858309362,1.0627452998016216,1.0339326998355591,1.0473554508724623,0.7638603116829704,0.5710978359904677,0.6319654698934958,0.5239127346285646,0.5619536990718405,0.5912525415855341,0.7091801297446427,0.8813208676865659,0.8133843765422637,0.7396028437203481,0.6660781766745547,0.6564654153473488,0.670991564237839,0.7121173226018025,0.9967026275436276,0.6171859067495226,0.9329320723769416,1.262233274364025,2.1594968779197523,1.1920153388117862,0.8821906423389533,0.8425542488009615,0.8463260377670881,0.7916184209821678,0.7752118582322074,0.6453518208803353,0.6456265307752956,0.609580335332036,0.6188594587977017,0.6088936448327155,1.200404279619478,1.1174642547817966,0.6839375771457638,0.6928588583758705,0.6447202396557843,0.6654917073663038,0.6384451180458762,0.6389221807937212,0.757606499473483,0.8096784985522559,0.8917673848602884,0.8232656472063599,0.8855052615617551,0.8193062346802913,1.1058973912061711,1.1689203222194664,0.8562429390195503,0.7014970580930251,0.6368766437459527,0.6676528975426592,0.6505495019399191,0.6677626846235267,0.6523328442618388,0.7186311046230902,0.6966652054977719,0.7148789004164691,0.6534486057435953,0.722453536682797,0.5971667385426597,0.6333183303035848,0.6959962173938734,0.7217807915505865,0.9420473230629716,1.0876315206860434,1.3924349029117884,2.074757925052571,1.6715681779976805,1.5273610400251103,1.606586937011187,1.1519556791073997,0.9779958715634525,1.1127013307232503,1.3609530944567452,1.2568210864998826,1.2537816569515747,1.235871249753617,1.131178635901315,1.0911282947298255,0.8754937085269466,0.807545002662776,0.9597108661422391,0.899755764559217,0.720924447681319,0.8213467505103574,0.9351767825778896,0.7457245180962693,0.6656512649353148,0.8244599177943469,0.815620279099289,0.685005107378368,0.805864618543098,0.9215418615305592,0.9354175809239436,1.0809176804257732,1.307483103337409,1.1821244180675274,1.157593901989907,1.3598555106761867,1.5500689828742744,1.6649707244476983,1.3144044254910727,1.2282517047703139,1.2295798945136902,1.250733898217427,1.3762699750152037,1.3886910258388154,1.3412046131406092,1.326140531798164,1.600757794185798,1.5885350172721977,1.426590384632437,1.6309863596281304,1.833490258657258,1.7134170547321739,1.6611961921567766,1.3315679820890434,1.2654656963349296,1.2220018970563153,1.1428677263648528,1.055514110030943,1.0169678632964367,0.944469760396694,0.9252357160271688,0.8932628661961745,0.8101356632210336,0.792588404355896,0.7538438863801746,0.6900887684647661,0.7408221488885225,0.6663327115528185,0.72422036699229,0.7062021980288182,0.8781819338335012,0.7140058636384751,0.7572677562030384,0.8432554682791465,0.8911879235567791,0.9200922344007587,1.02483085780099,1.047615003098869,0.980330701992128,1.0926245564156045,1.195030862009569,1.198705054487072,1.2070644660935752,1.3769990213862822,1.5821142836577755,1.4442372694709837,1.4914537214480326,1.732473879323335,1.8911589359370062,1.7552733852339586,1.6830763560054847,2.2123653127266847,2.2100663993140324,1.6589249538555402,1.202199821690876,1.055165768123265,0.7920629928684692,0.916633610483802,1.1527202164562709,1.5741351402661432,1.8594976550148696,1.7564075831022596,0.8107195341378446,0.9970076986683704,0.6349243750495975,0.7585782282094021,0.615140372640582,0.5584941695304606,0.675549236388238,0.5388416324232099,0.536550053785143,0.5489103259664504,0.6549184464411455,0.6679484932642045,0.6860857834889491,0.6154390494840307,1.758918817373,1.7495987757419782,2.0905216766716395],[1.1747840822911704,0.7693716907534263,1.0632261741440907,0.41080759518206034,1.0085275246636443,0.6809795239037594,0.7284534211324987,0.7352113650833796,0.7476006489475817,0.7841621675170467,0.7973478035898303,0.8131341361851234,0.8862237171187244,0.9249553400995356,1.1772480275338815,1.0449970134335635,1.1018684472390106,1.1664471118617978,1.2907266078899533,1.2393573690031165,1.316437572247708,1.3098526856559567,1.5471031507388595,1.5343576892587598,1.537261301229368,1.3596909049434267,1.2862100648425676,1.16972571737141,1.1733306721997687,1.034013510059125,1.1621046903864858,0.9830330446819019,1.0329158067268613,1.0710168271413802,1.0691117045935332,1.1142079870480768,1.0569765241112625,1.1251263849075588,1.1032190399851227,1.1995606349837689,1.314453743044236,1.282293945088829,1.3086186706207334,1.5298719871593156,1.6950735776618424,1.5854252959073414,2.027787437799585,1.3798280021603255,1.3825333294244984,1.6136090967136245,1.504101416430957,2.329468106650811,2.2907329802399703,2.3064892070008467,2.4508659375827624,2.2461025062471305,2.3016959268142,2.0707124505006993,2.3641745131402776,2.2517469432522366,1.8771504682596232,1.4380712601086492,1.6344993479480303,1.3468832341472008,1.2840042114946117,1.4877591192686899,1.2814135879722715,1.2249590805205943,1.3340704091798021,1.2765114869927123,1.2678348991125823,1.3552736120643638,1.231850731817014,1.3463145555430616,1.1703259023397647,1.4426537571979299,1.246790289300123,1.208776941819526,1.1905648949271612,1.2119226856305232,1.0712687415740736,1.183564506021035,1.0160485967342616,1.1252439502238194,1.0753285303948084,1.0624846643676218,1.1350979557680385,1.1176306394486097,1.1281468412123004,1.1489690745305172,1.1695858351709372,1.348649200140434,1.360681994873742,1.1743944442604288,1.1187584974132172,1.1199427926640158,1.1421782570392653,1.0338898246586015,0.9133399887658156,0.9171526387492396,0.9156633646636119,0.8636149548629853,0.8725863956495303,0.8435168596201533,0.9999067490462045,0.7639301255412443,0.7465406780846573,0.9135402875812537,0.8605949101864925,0.7847292766846955,0.708241575867079,0.7475378534854955,0.8264687755485347,0.9278012637703426,1.0000581810434088,1.0918515337430252,1.161570693515277,2.0678234894059435,1.3589661640975292,1.1853756394219115,1.1581900092059003,1.163846139105681,1.195197909914639,0.9258444463196192,0.7762359893127786,0.8869684973350965,0.7165745231636149,0.7424198646570622,0.718179107480365,0.7472492418158957,0.8368598320430577,0.7659721760127896,0.7060878870616968,0.7047586074059987,0.7002261179451577,0.7877236529634297,0.7306016702845165,1.1911418188228324,0.9663209905950815,1.2054862910379258,1.6290757444316595,1.9483222026184974,1.241548784234766,1.1203143694518398,1.0691548559029322,1.0794465770416743,1.0521475445681503,0.9934025479701855,0.8678582079715889,0.8357584239161419,0.7933758199169944,0.7462879670058217,0.7084557302554814,1.2021137123875236,1.1074809090964215,0.8536548677635769,0.8631490434356157,0.8328562943810057,0.8619150226493864,0.8453102982154957,0.8679485707574657,0.988271666381932,1.0820280557700843,1.131049086467983,1.063043734441045,1.20254753873504,1.0671471118801645,1.3463553998634163,1.3564069885425496,1.1167810386488657,0.8935097347966894,0.9218481427962406,0.8830948695351574,0.860263077501223,0.8747267555468529,0.8600003010453448,0.9183301941408781,0.8977869686504463,0.902265061924381,0.860544097098003,0.9009496295745707,0.7768382438538943,0.7550802520696211,0.7763251297986117,0.8135660356821548,1.023712309304738,1.2090811272145754,1.4137145109021627,2.1035094391272775,1.5160783971893064,1.4940401736946594,1.3705033579837824,1.1072531202898148,0.9142402718046656,0.9708718179739042,1.229445154751235,1.154403858694056,1.1843126025501973,1.2192858671840712,1.1261684549549411,1.1271036133749106,0.9340735165650637,0.8601294053262007,1.0144222453139564,0.9782589724026599,0.8026171299081255,0.8704231013569652,1.013314201703434,0.842637100996447,0.7385994861936078,0.8958273713331161,0.9044298174051417,0.747218418612548,0.8498165157727892,0.9678371020827833,0.9626026049129518,1.173903363519867,1.40825823958061,1.273583164052461,1.2628988589920729,1.450547170963266,1.6520687174894126,1.7698719896571626,1.3440795361363165,1.2885162618765122,1.2905945286673517,1.3058902029037633,1.4155288780182809,1.4314352310752338,1.383430665291887,1.3561415449541392,1.6015167625887106,1.5932542011123003,1.4247848603491966,1.59750185446516,1.8057419100983811,1.711887892287479,1.6102838290465007,1.332889012515188,1.245474336381232,1.2208283067987926,1.1851834998128052,1.0949648944027661,1.0816467458706784,1.0096176306290032,0.9903271644573785,0.995619247070423,0.9035897047157617,0.9036913047636933,0.85687619667272,0.7993788184020738,0.8205155699913464,0.7664075733255878,0.8403650940769353,0.8062295472314437,0.9452844025947902,0.8183945626704674,0.875789193588805,0.96439667259536,1.0084118856517355,1.0130664852381221,1.1175566469713534,1.1492553840820687,1.076121827685257,1.1664149146718545,1.2775452155290883,1.2826113795315128,1.2739007908233724,1.4335072854507207,1.6366239923802113,1.5158731156578442,1.5257094601383168,1.7673426456276489,1.934786177924589,1.8160131467277238,1.763460376509406,2.3144591578540803,2.36716860370071,1.7524656312745064,1.219755375156289,1.114559742919554,0.8293359445454034,0.8979253766001815,1.102141612917369,1.551375361935535,1.8033957254249295,1.7743953089056101,0.8284726255019804,1.0062959167396015,0.7498571303375965,0.8840133073624998,0.734708057967182,0.6796023395640511,0.7211891186369007,0.6975225902258392,0.640996569951117,0.6940909806944088,0.7935409658892658,0.809482316344543,0.7844795165119246,0.7950254915852812,2.029310224250921,1.937050614509303,2.406416594189944],[1.2311107006717321,0.7718436090571227,1.0580452699505298,0.41591373975678014,1.0223733850697974,0.6395024930692663,0.6967005115646818,0.7139144780694325,0.7035042666032867,0.7514320897717194,0.7740080705077629,0.7840198470789466,0.8886343845423211,0.9231442196127524,1.2371208549696933,1.1022961140367822,1.16996857852064,1.2785788816375288,1.428329255450979,1.396665478133166,1.5240509048206679,1.5073293135463999,1.8093774673965883,1.7973548164053235,1.7574383650067071,1.5645293841268402,1.4546848296707608,1.2892520774850589,1.270529802222785,1.1077170368121307,1.2524272032962411,1.0479787424095703,1.1092788290966042,1.1764320340381935,1.167386079865376,1.2247601640660868,1.1476466764675917,1.233991264360675,1.2263212310708924,1.3649961241772282,1.4530169229486678,1.4532512789804133,1.5040837913394745,1.8221052120299701,1.9892315585367708,1.9351406647995864,2.4387658903843437,1.764690801695551,1.6450695076587563,1.9158730964060957,1.8473965058524995,2.653106365292535,2.5560322421759674,2.555407330298056,2.6695994116472517,2.5108534645538727,2.576647375319266,2.316658708966205,2.5298018682592542,2.5424387776684667,2.142232629330987,1.658157956565778,1.7257726062461445,1.5217540096426811,1.5303663890632608,1.6574176143663426,1.4662027107125726,1.386452180508685,1.49044017503104,1.4169748150798582,1.3920468842362146,1.5054478470580266,1.3799261175476252,1.505316988411789,1.3235142988973,1.617796651998726,1.4291848826755265,1.3731212631601268,1.3505642305036032,1.4012841860375578,1.2109489267515339,1.314762067294093,1.1045944092448972,1.2717422499933975,1.2056681250497667,1.1748805111509009,1.2622835887717596,1.2232516431158413,1.2663991929556442,1.2633366686248002,1.308485336278276,1.5188422585531962,1.5061082670936758,1.2826281140896796,1.1919312481261077,1.1824164057563074,1.181429926749744,1.0899629152419115,0.9379668700288869,0.9084556847660109,0.9607589689896879,0.8881780699871996,0.9033903556982592,0.8646625812620933,1.0505587368640492,0.8086859350295607,0.7706827919873404,0.9205936844488916,0.8521872724055282,0.7982509175256237,0.7073624342180336,0.7714269828470394,0.8224527500669158,0.9357183561201077,1.0118929846102895,1.1209816521673532,1.2378418855869617,2.0324293055653104,1.5273181919814598,1.2947462682390485,1.2249173255875128,1.2019599670303407,1.2069170484431706,0.9173122384275235,0.7404207287229294,0.8562174420311418,0.7076373702184835,0.7662446335731566,0.7425295955700814,0.7671393470937585,0.8678981339049113,0.8120369475875046,0.7885887131500895,0.7637429490680894,0.768101459046705,0.7953575933736924,0.7907789425543018,1.1718082863517494,0.9730434993735172,1.2850271133765738,1.9409694557887294,1.9778832868388783,1.3761882384276907,1.2296044670038053,1.1521815012219727,1.1436240871708254,1.0860915389520212,1.029142756522804,0.8939675369237485,0.8459635883934437,0.7969924768618072,0.7435148538566273,0.7233828224701859,1.1856435784322226,1.1290728129261605,0.8429921226433416,0.8722341376751159,0.8454563201010291,0.8901470839547735,0.8641538350526216,0.9064314099038956,1.0493627833266332,1.1422636554488732,1.250274013901861,1.1898031749302265,1.2969863327397817,1.1829489443225563,1.4742106060567808,1.4095535997438826,1.1189972068721037,0.9451435627417318,0.9703048401648091,0.9584103361076013,0.9304506213499042,0.9529322132359965,0.9145401735679962,0.9591639233006041,0.9454992403306779,0.984900019797545,0.9475348858008642,1.013816615043164,0.8414518517542305,0.8571455692281862,0.8966223949775163,0.9382115912634387,1.173262072215286,1.3778276485202243,1.6343610473658285,2.2279359041264124,1.719150778451041,1.6832786428439974,1.5450897165328645,1.260153446615391,1.03342929086476,1.0839365326888497,1.3645722075865114,1.2571464221984945,1.2510549315624129,1.2762907280881988,1.1394617124520832,1.182270183278142,0.9756387054865235,0.8777129204626868,1.052335008923178,1.0306478310943585,0.8270525734270895,0.8974680476987758,1.0650722252958562,0.8932319363988688,0.7739958676969958,0.945505740810599,0.9687828673203652,0.7881373551317578,0.9121437327248132,1.045193159634859,1.0545972327302888,1.2694301204300686,1.5301879108929783,1.3708733376324684,1.3777033963629635,1.5976051687709152,1.7387069412073637,1.9318319471656196,1.4297809616974562,1.4056581306597555,1.4060496498252613,1.3976994801461884,1.5611005768316395,1.5749207786361363,1.496524497988791,1.4892132375922749,1.7631854203938884,1.7193730115338626,1.5542013780423576,1.7545347112618501,1.9856053564131797,1.8689329566244182,1.6928218887005368,1.417874391415787,1.3229752965692523,1.3124576395323668,1.2668346705477973,1.169076961284627,1.1679098342920724,1.0695187378712119,1.0499762327746678,1.0658727663733947,0.9408179678548755,0.9289717495926315,0.8968596821417201,0.8333169090048625,0.8333402394336098,0.7908025668876679,0.8956174759790241,0.8436875954691792,0.9599663648932325,0.8780183772681359,0.9523463606869884,1.050909948826425,1.0973463166114603,1.0813802830847172,1.216872644390839,1.2600832710358034,1.1586906847510676,1.2624610359951518,1.3976807452850724,1.3876156971586535,1.3691837412681416,1.570486962607435,1.7625626246658026,1.6095621181971667,1.6433583445974012,1.9498503436812273,2.0650135901377316,1.9296208627850868,1.8114810802473926,2.4325653168191153,2.3485054961135265,1.8489837628351395,1.2804692444720354,1.160392947145177,0.8817156187411493,0.9893496134600297,1.1152751389511355,1.5140580849576428,1.6295057955935288,1.7129051400239608,0.8480206723890256,1.0042822878153865,0.7554707104257498,0.9425800325169671,0.7275909710894995,0.6846108036002688,0.7169652328065873,0.6797594343404147,0.6547078543874763,0.6735807711408439,0.8078212913716541,0.7904736196687476,0.80120929573541,0.7739167644522081,2.01708435716396,1.935424994440945,2.3711575507752984],[0.9996025870176111,0.6990346268948041,1.043683004060274,0.4253195612421804,0.886775632616107,0.5356500241882767,0.6058126479418906,0.6491631557585619,0.6786751479270382,0.7443863478949321,0.7853038042605455,0.7791525599288238,0.8911093041705785,0.9531036441941065,1.3248432627417228,1.1601898919973013,1.2067323279152564,1.3533869832460588,1.5086559852165917,1.456525255683893,1.599695334581505,1.5598714146675103,1.8774430213606885,1.8311054403012226,1.765218297617423,1.621270055239707,1.4787855433407562,1.3150989383570373,1.2994743448565689,1.1373143272112758,1.3431385721427467,1.0976738630442957,1.1920338953913485,1.2671470275390673,1.2226240684710725,1.2793746281386238,1.1638113442982543,1.241993440827582,1.2103594303582004,1.3251579536746392,1.414684900217805,1.4566688210323597,1.5019264618941193,1.873367035736351,2.0864098731398903,2.168594470058813,2.6649420481653086,1.9407735461079862,1.860758691743182,2.131297291991946,2.003786853734663,2.8061059544769416,2.6131537346615117,2.3851689312015956,2.5178614289426196,2.4858040700055586,2.600673691920568,2.263229248801961,2.434543411145715,2.584132705902765,2.2033223552144583,1.7352740082326472,1.702431009582879,1.5775421522482018,1.6392643541131309,1.6830874249708574,1.5651083912577044,1.4973825992984164,1.6161896064802137,1.5584545651704138,1.5337469893005222,1.685142974165594,1.5437700186792231,1.6628532459584324,1.4563395905478198,1.7631220765888487,1.532597022432466,1.4785347482166915,1.4180057935261106,1.446215500920388,1.239067325999301,1.2879278873492406,1.121450832094405,1.228618234652506,1.1705851053852248,1.154698305360345,1.2687218060168126,1.2278263155436313,1.3147305694702198,1.3262613260415992,1.4119307699081654,1.675381643936064,1.6649798014001749,1.4080585253636915,1.2817015889868166,1.2935477532908166,1.270737377988715,1.1615796700236027,0.9818990391477299,0.9100665027977743,0.9780473117887729,0.8522500012258116,0.8765667140544929,0.8029081308721128,0.9508619155059272,0.7365508403897693,0.7383030836675278,0.9566154328689686,0.8460871176918504,0.7171468792167661,0.5975717627642314,0.6798120201119026,0.7361154088442937,0.8284060914234259,0.9624236062089956,1.07481126522412,1.2346478613081413,1.7941027612184808,1.6230127884526395,1.365388970544353,1.2901702847511571,1.2228987842650283,1.181928636869657,0.8796977180638629,0.6773970056264575,0.7327308123362357,0.586514221407947,0.6531985484808663,0.6609947045961112,0.7770667454871789,0.9340312782828079,0.8657064898432614,0.8392770793664672,0.7646579565997348,0.7714568828340375,0.7527091715151066,0.8349703792587407,1.087398367552173,0.893176239092677,1.1773353654865981,1.7528344006122145,2.0672676035879207,1.4051064428738533,1.1520151785559647,1.095139720692924,1.1038642990507064,1.0217364800266784,0.9856640893044473,0.8363623747537524,0.7987418410791441,0.7270642567512435,0.7225121747903286,0.7126179174201084,1.199403000420021,1.1816349290086732,0.814828133676174,0.8492238424480287,0.8003422631695071,0.8679275692310345,0.7969966178425433,0.8258760273630794,0.9927268225964765,1.0253167892695687,1.1592807061087262,1.0563318829432589,1.0505385023209273,0.9883732040812233,1.247064440131913,1.2489905827279357,0.9176844838876971,0.8158738686124306,0.791767529752415,0.842359405247881,0.8455653306160792,0.895720680444084,0.8658722920321248,0.9279842724003501,0.9112098757830805,0.950353779034084,0.8895239788716592,0.9472991802369515,0.766336089988718,0.8073846475667158,0.860737524654566,0.8909355671306378,1.1489800061280535,1.3378168579364258,1.6617608187488166,2.1990803461826745,1.8591941793130913,1.7439570440159995,1.784168189921007,1.3002347577554858,1.096853384590168,1.2245395251378375,1.518226101263466,1.3901892501471715,1.3641683618173932,1.321093843721977,1.1659980157161398,1.1708715074546332,0.9309210089071662,0.8304276744596484,1.0084073954983641,0.9569690439549416,0.7388616671698122,0.8215855514302631,0.9753673819093318,0.7736858515862621,0.6600711948198114,0.8348411817570988,0.8367827341715672,0.6729644270188285,0.7988873124419704,0.938601887242987,0.9560001358368186,1.1404834907514332,1.429575753777917,1.2737226293473107,1.2643165012216693,1.5055289311773217,1.659560443739747,1.8597611239542116,1.369075335205372,1.3498602509509159,1.3720958989650058,1.3694478207164873,1.559253125561239,1.5600217619062795,1.4862930611583727,1.4893384830871397,1.7900659887038308,1.7395409533033452,1.5898157177559193,1.842800694373899,2.0236033770655673,1.9004144323139214,1.7919355529830685,1.4460942476822636,1.3816308210833783,1.350021741298017,1.2519448929040211,1.1541294540273817,1.1290892409464828,1.022043395656744,1.0023019001496354,0.9712401204822487,0.8660510316136547,0.8393000433715359,0.7965268380514348,0.7166605556281468,0.7472568462457537,0.6774984857486367,0.7544269601681145,0.7095997747532998,0.8692286302476725,0.732094352619006,0.793275440219039,0.9046129355188441,0.9726458566020089,0.9908823561541108,1.1362496892727978,1.1517562721390227,1.0580800577661917,1.2015785872208073,1.3269152893464118,1.309602530325188,1.3192043780487943,1.5400812518360314,1.7130131167989544,1.568955249187457,1.6313529191692113,1.941498738575122,2.0465852355903,1.9068134447932354,1.7809754071569273,2.401071093034296,2.3067388466265917,1.7823674290346398,1.2297674725859207,1.0895435638714182,0.7850764807324168,0.9123639878999241,1.10627831905918,1.5322132239347288,1.7290818090726743,1.7765243323066857,0.7868689115364095,1.0116409864823257,0.6582783699757093,0.826845601633118,0.6137000066090709,0.5708560226343806,0.6652575810680755,0.5456356042015967,0.5486756639101427,0.5520328589663485,0.7176667473121867,0.7134583787025629,0.6806327832648494,0.7066432534223169,1.925978376039931,1.9888159982730345,2.298812276732962],[1.081378337375606,0.8374391422373206,1.161640042387547,0.5440346258651264,1.0023782113935855,0.6558821360087949,0.7398260828294254,0.7874537588406345,0.8157111804710082,0.8726922588060356,0.9132893947331236,0.9097395302775556,1.0051357633783058,1.0578288600199317,1.3890496268142285,1.2347822572932012,1.2860027829450988,1.3867695133233595,1.498143296261083,1.4334947081420724,1.5261904511654045,1.4628604522154052,1.7403714332656197,1.6915586434096856,1.68397754048937,1.5529295499103448,1.4555020591992123,1.3441982731469513,1.3464847109521716,1.1960649191514114,1.374663079263164,1.1581552092305758,1.2321247024027622,1.28423597195621,1.2522985530410615,1.295978511256326,1.1973533698205454,1.2413842477768946,1.1944232451330346,1.2603033435004265,1.3479543092177393,1.3996207390324118,1.4105215835838558,1.687143202485609,1.8244728189924642,1.774696813447991,2.2310676489847108,1.5943138185421812,1.5744511113827415,1.7739548629220294,1.688683327864241,2.541977573986428,2.419201862267226,2.3241761037361,2.4922476456661893,2.362812113179095,2.449504717616251,2.206572042553705,2.4367156414001023,2.424586143463622,2.061161476786931,1.6181330478337785,1.727006201936154,1.5016621486395947,1.480769218384721,1.646610135128997,1.4917903768170506,1.4595499239069842,1.5730296682782197,1.5315696624672817,1.4916193964041307,1.5935254048155236,1.4909365085058839,1.5726355340965084,1.4234796802195528,1.689968525110506,1.4797602029039585,1.435024193227307,1.384112229595154,1.3898344870298815,1.2029979601032672,1.2519587078796017,1.0901912972049679,1.1843217497013776,1.1217740278507686,1.142805885393279,1.244301578161961,1.2306667892637881,1.3041885737821286,1.3326773402137215,1.4041883766440015,1.621936209640114,1.6322142992452526,1.42308393662677,1.3339961248509278,1.3331909473830317,1.332365649130749,1.2400263305381116,1.0828023150139001,1.0190062504943742,1.0663170467376164,0.9491000440714722,0.945748713081259,0.870687502712542,0.9858711965127601,0.7843537198542304,0.7690156847851176,0.9839242610377529,0.8805697925175335,0.7670660655507844,0.6705356970947101,0.7641964345256004,0.8599974261543499,0.9592003630709187,1.10419516776511,1.2079398291479353,1.3367730113056056,2.101847653106811,1.575255337738695,1.4051024046857687,1.3485398866144291,1.3404013116958755,1.3079980457974711,1.005353996428323,0.8246493611938543,0.8516022014928608,0.68019806272215,0.7199184997440797,0.7096480311244673,0.7972630592755606,0.9789085238439367,0.8993800620409371,0.8406367336669563,0.7553801590137995,0.7578168624877777,0.7578810196797015,0.873335147071869,1.1198321022300017,0.9923958196077826,1.2573082677455174,1.9165893271212546,1.949439436816,1.356993984816333,1.2251699321769498,1.111987057589746,1.1599768855197292,1.1138800929654742,1.0831508962973784,0.9292452743786103,0.9192229781462868,0.838493851843882,0.8368886056121841,0.8143311589276496,1.2071158773505388,1.2216101469346337,0.9332849896913012,0.9679357904720778,0.9046280593715297,0.9627881560024056,0.8697084268699404,0.8714800133394889,1.0376168270607231,1.066679090962183,1.1484807212806702,0.990538338909768,0.9989341036988447,0.8816164293261951,1.102185792811956,1.159156819869786,0.8543535988569517,0.756318356098934,0.7685077475567451,0.8097898609251104,0.8303865369952692,0.8966434867256495,0.8847175864607657,0.9721396335708212,0.9290472070583237,0.9353165030881803,0.8684411371679577,0.9002101134950216,0.7676040695315313,0.7532839184272598,0.7749069381669039,0.8054297395308313,1.0386117365046195,1.2437203332241633,1.4822279068103912,2.0915004937189274,1.6839237913965819,1.5445392998272665,1.6799548676520841,1.2003967110387044,1.0445525559274325,1.2200198834268388,1.5249714933178653,1.4282354249464773,1.423055305932654,1.3702140835560663,1.2046953111258143,1.1993628870087913,0.9643668758269441,0.8633458959197781,1.0309751400055678,0.9699993791056322,0.7687343837405001,0.8301701682430777,0.9686963765596049,0.7892504785869938,0.6900510013683419,0.8316530968884912,0.8257883328848549,0.7028230239133657,0.7896943918043178,0.8858917699764718,0.885329475307281,1.0731924133838344,1.3728549553827978,1.2321376460961833,1.2143158703969148,1.4383748416065654,1.6880218054057679,1.8142080488900736,1.3578442024298238,1.3296220305332866,1.3683090347737685,1.3761762387407228,1.547928524860909,1.5348371201551967,1.4794528088763783,1.4831445501088731,1.7638263493952737,1.7223923940555468,1.5985386115456466,1.8462900983793915,1.9538820564460795,1.8759228496926335,1.8404741914669962,1.4767439497329427,1.4181404883527946,1.3781980372246014,1.276056839361472,1.18615618587238,1.161794372260107,1.054223221099919,1.033417456613556,0.9958774255619128,0.9108487338100657,0.8708279950806568,0.8279288537014078,0.7549298500557994,0.7874564739421409,0.7137058442364546,0.7696104094344253,0.7359652175174985,0.9072277040734581,0.741755431981633,0.7839834549046756,0.8936716670454682,0.9645789817331102,1.0012197663795686,1.1405843871094552,1.1223690567880302,1.049398303168644,1.203062504737411,1.3017537613363572,1.2848965007673412,1.3152427706062804,1.510317960238101,1.66304473497855,1.566873647963886,1.6006928282441444,1.8611419651072796,1.9872433178842768,1.8814648250295036,1.7996134761047426,2.3976158870249287,2.4027020094108487,1.7458234176194414,1.1713517853553521,1.0800573885705975,0.7778603080972778,0.8446975313175369,1.0623382996595518,1.515098886047881,1.7978806040179187,1.8860942750025433,0.8108159548184234,1.0538297034631705,0.698096625682311,0.8924554931230985,0.6562402171299929,0.6289978388380318,0.7314180629702409,0.6175326252288437,0.6318508325642209,0.6254265247902301,0.8573090127731299,0.840037053141372,0.7292439374697698,0.9560929583761818,2.2528197272435615,2.4051722122714465,2.66456062546558],[1.2451952466020333,0.9003196118891788,1.1908641081438505,0.5477299077993267,1.1175822515653908,0.7238301437214402,0.8179109221003044,0.8690267082079843,0.8759592672188257,0.9429015941999859,0.9788572455985208,0.9985185109532573,1.1052171347382191,1.1233512137017365,1.456465700982374,1.3315759207443754,1.4057487602913428,1.5315817892297088,1.6652930443241818,1.6370184549759952,1.7521849590185268,1.7024327451547765,1.9949520919036845,1.978425242085709,1.9492190737908375,1.7757182130369593,1.6829684784640246,1.5292238715205122,1.5137933551449598,1.342235857150954,1.496492471585231,1.2886892955033655,1.3483509532261575,1.4299441359213125,1.4172845194684252,1.471174421357364,1.3724735966686588,1.4427568517511304,1.4238092401308733,1.5195552664182075,1.606345603222862,1.6488413819585745,1.6809173937749218,1.973856848230316,2.0597437496636517,1.9488750726246409,2.437940927867634,1.850672501546557,1.7177498336691754,1.9592156160544545,1.9286270636006397,2.743043154199489,2.6678816815526614,2.723839452411749,2.8605784222809034,2.672584194811642,2.7115492393077174,2.5323937171730995,2.7352965442219355,2.7023270415357086,2.309496612893449,1.851708977830689,1.9481149161830105,1.758415427652645,1.7094588865876472,1.8788288277890088,1.6939236131347035,1.6322646766080229,1.7161322226254123,1.6376884410748582,1.5885802896544066,1.6805688884689929,1.6008118293979785,1.709070838803015,1.5712636917631762,1.831103005432213,1.6842679522329915,1.6265543854358062,1.595534463324149,1.632077087772382,1.4237083660929817,1.492402681813674,1.2670117441523887,1.4329180926232867,1.350933637966432,1.3670093322870338,1.4668751890306675,1.4241483896126872,1.5132029267004627,1.5124524997725217,1.5684457196345036,1.7469720278625356,1.7402788234077593,1.5281641786188258,1.4336375871801939,1.40472256686699,1.396920541678282,1.3354634057588866,1.1749707711063668,1.1065677877201974,1.1837338359703629,1.0617440062396173,1.095511036824204,1.0119082263100472,1.1651755777973727,0.9325082881005458,0.8639710047084983,0.9900205618283098,0.9040966625452074,0.8669431500460939,0.778052096904918,0.903356065386356,0.9802194257388303,1.1122606521405958,1.2270907600454524,1.3315650692000507,1.483829800088236,2.2646433795203134,1.7091333097787234,1.5438480946376205,1.4449800288723842,1.4239146728558176,1.366251381438407,1.0776262791051217,0.9099004054001114,0.9908091565164848,0.7926855829158889,0.8509923048095406,0.8018080494479719,0.8466641926873324,0.972110465272469,0.9022511038143459,0.8611074168239051,0.8255074443511151,0.8277979739197262,0.8527169114642967,0.9041360571876096,1.2446883883550741,1.23335175334979,1.4861215714723748,2.4146103351494737,1.9053617906786406,1.540894542762808,1.4892589136144179,1.3676967329181355,1.3666785151784127,1.304776868165036,1.2355808379886088,1.0752586380825668,1.0295262471369702,0.9482511851622185,0.9069136179399049,0.8823956408925887,1.2124690355675447,1.2285900546099737,1.0230626885524265,1.0711825732654947,1.0206567737495191,1.0916521133264674,1.0186796149021844,1.056073699883395,1.241456581465661,1.3047662260867727,1.407601257610867,1.2891612586483105,1.3694055963312495,1.163243488045362,1.3685843765780177,1.2994474503736697,1.0348712081017937,0.9186186289422823,1.03007359663331,1.0379473007165014,1.0389210355234988,1.0996808013296366,1.0639968914136326,1.141368653978336,1.1029663310895197,1.131268612287578,1.0728196588291947,1.117133919175101,0.9370910163540286,0.9153847839957473,0.9287427550879518,0.986995670283951,1.238909874759372,1.4808646575677638,1.6879373467286765,2.2313167533406846,1.7321412491436623,1.6799400855512576,1.6266193007471905,1.2696598005935402,1.0811526221166368,1.2044122746767776,1.540943162237312,1.4395037972560183,1.4320393973044296,1.4110926964829875,1.2247803033788123,1.2794847987013522,1.0435598139112576,0.9250523035082799,1.1166469949111149,1.0800761274675261,0.8621831948261499,0.9203406899019043,1.0864687337613057,0.915892816178959,0.7896868309702287,0.9477124781704857,0.9628328097296558,0.7912938114553292,0.8796472765916087,0.9999406982573612,1.0076435865113251,1.240671748186274,1.5495792605126366,1.3906314237507666,1.391406191732292,1.6192169196884187,1.8092207006590824,2.008436554776361,1.4951893102662994,1.4857907579697676,1.5130871778634845,1.4969358229293073,1.68408751360146,1.6861364852393441,1.6131444528739474,1.60507318437767,1.8991375605273273,1.8428823504517278,1.7071953556669657,1.9464018870798852,2.0919939674500885,2.015556375329267,1.8876648101017461,1.5578578864670263,1.4695465477305931,1.4482632493500551,1.3726931552004675,1.2600713564206263,1.2540475745231512,1.131644802722014,1.1155817043705678,1.1137352504828812,0.9959734438139025,0.953306945069888,0.9372077575160392,0.8623640162899162,0.8595906986090948,0.809667379394364,0.8996280045676736,0.8409519488930407,0.9668545571598762,0.872649555418605,0.9414185840864028,1.0561258928944277,1.128177288461402,1.1374314713943336,1.2914047495717027,1.2936664049527706,1.193370067834559,1.3429416919543589,1.4681945275944044,1.4446728707152117,1.4531610784107172,1.6702488107649678,1.8167902037755117,1.708485461555965,1.7369219005170355,2.0327178141985534,2.126976933782873,2.0212060886938663,1.9119761061881897,2.559670107505579,2.5088715094363567,1.8988232400261025,1.2566219214832877,1.1840745284915224,0.8666437344740342,0.9181967659747396,1.075570745123464,1.4994128919485967,1.6751821729864182,1.8825155398828561,0.8529767064761247,1.070167303815238,0.7652371958917247,0.9869745921425641,0.744744236119986,0.7178221036563124,0.7822002450606734,0.7084965937186106,0.6983019997226063,0.7054031823979202,0.9343153807552159,0.8877528417376489,0.7943163954639059,1.0306773801910145,2.3663075420593485,2.4785430470697087,2.806500366437371],[1.1935728399917278,0.8523042633775887,1.1679583897321233,0.5171683184312426,1.0747308892824403,0.6842460862337307,0.7859919326390787,0.8554300390735498,0.8709116069171967,0.952291612560503,1.0031497004591914,1.0168422328954105,1.1402994280248608,1.166913590895339,1.5496257010978625,1.4187594373232373,1.4863681157404667,1.6612499520759136,1.8271051422897833,1.796482898468941,1.9556244251027166,1.9041682873115897,2.2243716317976916,2.207488246155292,2.1332379231024867,1.9686787832419939,1.83399513312613,1.6409398674750584,1.6145833337863036,1.4309045331917458,1.623681219028139,1.3867115243299248,1.4650785045627182,1.569454857615961,1.5363057997516756,1.601155665759842,1.4756965253516683,1.5664964456763522,1.5362819597152895,1.6475896050586585,1.7321443159089627,1.8082567395356544,1.8555193183847785,2.2116465778145424,2.3043962514805547,2.285687692565987,2.805296327420298,2.196586585870661,2.0467050097725936,2.3111454068745796,2.2642638566582707,3.0456872921969858,2.909558007835212,2.846692721378879,2.9811111462458832,2.864729140098253,2.916641632429276,2.7038024975355817,2.8518151919186825,2.9284767759528965,2.5238862657100274,2.0474954681920616,2.060754687528483,1.9576061299816117,1.9333634622459477,2.0434909817638474,1.8965390358213092,1.8133701269287053,1.905813757246247,1.8107985496564518,1.7649803491793803,1.8940675768467448,1.7964769054948089,1.916585454559771,1.7554793228835954,2.0332679516756023,1.8772631559257211,1.8102852962054319,1.7635283874695202,1.8078483719655014,1.56621130274455,1.61870377228042,1.3767248408032522,1.549561100736723,1.451144922960171,1.4724050483516549,1.594737396897185,1.5279195512080848,1.6578939087443638,1.655705278998102,1.7375540932427578,1.9431631943802503,1.9225664944184473,1.6761864372910726,1.5473075422794533,1.5179734925800579,1.4932800358279428,1.4333263925394455,1.2428513673719062,1.1411860808461185,1.2472115417032246,1.091177848487866,1.1481804462030558,1.0486233499137168,1.207507714932974,0.9617026292172502,0.9192674554890439,1.0516771470987667,0.9334955654169131,0.8697448950644566,0.7640284193008627,0.903668528747154,0.9635302040035836,1.0905537273792911,1.234338670039026,1.3386771715158585,1.5439622079231603,2.165109756884214,1.8718621311316246,1.669898879802483,1.5425050546492372,1.4772775273135,1.377057784056239,1.0718367539242606,0.8859031679946038,0.9443785102258725,0.7579824956281094,0.8294094887160907,0.8118255985177681,0.90474641795319,1.046988065088169,0.9894831800770345,0.9745791634434025,0.9149155657924642,0.9202424213585317,0.8835194712129094,0.9975922811395306,1.2366183617404722,1.281631922497343,1.4971874565515662,2.575707999550274,2.001088328373692,1.670169811210667,1.5565118203935857,1.4408924759686688,1.434251586488061,1.3375471931362777,1.2663542680418216,1.0954415885929167,1.0424244026880283,0.9512206895382955,0.9204320228229853,0.9049480493933144,1.2148798273565617,1.2615071112733331,1.0456676204987203,1.097318507618796,1.0454319236493017,1.1405344240983601,1.042050341909282,1.0797740388619732,1.298598612639746,1.3183899429963375,1.470854512620221,1.3319770425014,1.3145636936409444,1.1876638128727341,1.395848326629119,1.3515358364417425,1.0204775846433891,0.9561575452743757,1.0030270265900545,1.063542825751561,1.08909095720072,1.167542199678259,1.1270119730388015,1.2055550139654312,1.1859383853918983,1.2220604781286823,1.1635894938166584,1.1917797454637786,0.9871314712929238,1.001636572814885,1.0371980135067178,1.0810253962428251,1.3597974714288668,1.6058208858418581,1.8819473210159947,2.3166474165547917,1.9362811511873803,1.8765125275288403,1.847425179169146,1.4220941612670308,1.233615370058781,1.3690415145092782,1.7092674848165426,1.5608874677364633,1.5310863252805633,1.473941542038454,1.2689173843459849,1.3340089541551197,1.0767628611564364,0.9420037888741348,1.1455605096288104,1.1093804292474456,0.8628123267796856,0.9224630224754526,1.1022733461059322,0.916792126460154,0.7674047654964288,0.937473565513922,0.9539087001171905,0.7613841669687627,0.8528496433277188,0.9926249044947991,1.0132654252791726,1.2506863996971145,1.5933339426079396,1.4279174679269313,1.433129681524772,1.6918263568649548,1.8552838733184664,2.1071419674144862,1.560401416048326,1.5654019148025127,1.6059144630330315,1.5733346484780601,1.801371290745544,1.803215179273294,1.7011645025443036,1.7130005816589506,2.032753662213237,1.954795243307824,1.820367232802196,2.0944073810691974,2.24615449315231,2.141007374220186,1.9882301704110545,1.63512625658497,1.557956831820788,1.5429516950939874,1.4421181787963586,1.3223420541689295,1.316115296542112,1.171163498751907,1.159076805526448,1.1479646787696016,1.0208083585878978,0.9657676731106183,0.9509986258083079,0.8655046923403844,0.8582517122643312,0.8013174117306938,0.9000472966792175,0.827104992815266,0.9493856377062279,0.8608484814037629,0.9399424409834989,1.0708517706822902,1.1565178558280116,1.1686654423703988,1.3482029403560816,1.3437981084081108,1.2269093355441385,1.4020057911218702,1.5400910253646292,1.5014115957898488,1.5138185033845515,1.765656042347788,1.8996987808045185,1.7709252443151968,1.823627006043358,2.1574317879591125,2.219570286473846,2.0991064002754016,1.946494235225424,2.625568707881587,2.505269243271794,1.941608950666812,1.277440843595565,1.194847171834803,0.8514752503568274,0.9197709542798438,1.0885816268016681,1.5147786861760375,1.6614481566365167,1.8845839779919065,0.8542083127798579,1.0943774887093218,0.7638351893720169,0.9689399382115691,0.7288649914601628,0.7023273228904386,0.7804924013207682,0.677351296685846,0.6734267318939112,0.6704109346080438,0.9211458955864857,0.8573046495974754,0.7558977701467048,0.9985200247482876,2.336801583993843,2.507582757080375,2.7765375882042984],[1.0502009114133437,0.86851861323112,1.2342548642682007,0.6001012410145514,1.0114317894403355,0.7099409192780647,0.8110706928660562,0.9011850949286505,0.9429536910037271,1.0165915133995767,1.0738765694405668,1.079301813680304,1.1846149067245204,1.2324799749058655,1.621507012252619,1.472543038012748,1.522935437255747,1.6805234683233807,1.815017030101704,1.7457688736959112,1.8657680478080134,1.7696280863442557,2.0629196637538953,1.99933865228138,1.9705685879928907,1.8796854663385971,1.7565318873738376,1.6199832042188858,1.6066963461764467,1.4415988821734769,1.6600168862387332,1.417947385302436,1.507032624429887,1.5840522990441073,1.5321831798338408,1.5849535018422929,1.4491242814492695,1.498412468106763,1.4345316213029433,1.4763207277744255,1.5537990290786,1.6728306944424778,1.6778076081276212,1.9859335217390557,2.082056634782378,2.0740518901410168,2.528653843250702,1.9381984343640395,1.863066327058471,2.0645440641955797,1.9903962704708331,2.8171369055831206,2.657037241191787,2.4972291778249063,2.6840250675166795,2.6071949251697975,2.688862217442031,2.4723835119590754,2.648657788489541,2.703486539756508,2.344665074049535,1.9074792251405013,1.961385891703296,1.826433104627569,1.7904481678658688,1.933964950105196,1.8297300241934304,1.792417561497739,1.9020199242680331,1.84722810272595,1.7943912394944845,1.9120230475688842,1.8167093632383842,1.8943812293851179,1.7583251709891106,2.0065307925881233,1.8203059539784052,1.7651005066718373,1.6945461158564905,1.6925311770112,1.4768064824674851,1.4865778999138617,1.3041497562294455,1.4022701722938693,1.3161250666569764,1.3720115384687204,1.4987940638513453,1.4668642650953425,1.6007500510724433,1.6268377885803498,1.7293467013917265,1.94805424214066,1.9530657249889154,1.7255307784415739,1.6056552097574759,1.590627698711046,1.5717408453756474,1.5003460303391933,1.309926441920595,1.2025993475336973,1.2827997195728154,1.10898514767534,1.1417820201417803,1.0384303670290984,1.1264570588560043,0.9405041848250333,0.9316636742037308,1.123588616834591,0.9822773699223432,0.861387227669212,0.7542234803228239,0.8828340730603256,0.9641754774096749,1.062203882705842,1.2503911173287563,1.3452654981510008,1.5629400074613922,2.1453610135247136,1.8669209485466174,1.6950472087174773,1.58975788944658,1.5273117386609154,1.3979075989014342,1.0929610233640619,0.9118943004315315,0.9086781771606196,0.7442622273907851,0.798007849873897,0.8298367445939333,0.9671260244678302,1.1522078695813034,1.076791282302568,1.052336776944789,0.9451284840794077,0.9782031348526847,0.9078846440660023,1.11700856439555,1.1815307123955878,1.264867431632118,1.384549850249248,2.4179541581594175,1.9720019853795456,1.6152542237040524,1.4712825375992578,1.333177852699967,1.3824492341514962,1.29700850897812,1.2572117395386975,1.0875348346366172,1.067654771262441,0.973661229031125,0.9842904264356925,0.9717324663824134,1.2564579928156367,1.3295339416519636,1.0976734436416522,1.1376578606105916,1.0718808131711235,1.1587313116743716,1.025830259173746,1.024696534522526,1.231859309689726,1.2027446529425794,1.316909152245514,1.13312007759477,1.0294841775294312,1.0045538847665096,1.2347766177596218,1.3630943972870604,1.0546112784584931,0.9742533242049037,0.8840172117042815,0.9414085644966907,0.9860346572833192,1.0818057361251698,1.0680713441261533,1.1718775943375108,1.1312570399089048,1.1342058155276487,1.0660635432812275,1.0640592503719926,0.921732095395974,0.9153550960964049,0.9495449024554057,0.9769708214578188,1.2064588739443447,1.4195955297632632,1.683783552983037,2.165224294793749,1.8977110082321877,1.7334093483383564,1.9836869414593399,1.406228162639316,1.2965901212659423,1.487047692199878,1.7966446198437345,1.6532359986338705,1.626949571242691,1.5097051044855159,1.3177557945247858,1.3246044624139783,1.0697791262839877,0.9445765014657481,1.1151000920845422,1.0535852414893434,0.8234828324165875,0.8696664049955176,1.01777039110765,0.8400696844041631,0.7191165118061518,0.8515047438607167,0.8450319818608225,0.71403940339554,0.7813329344981634,0.8807120814695286,0.8890948529920597,1.0891455653418125,1.4324694567573681,1.2931752046342249,1.2747752605862146,1.5325790524594636,1.7931473981469352,1.9373387344805015,1.4395339731469505,1.4480726669247463,1.525040408880588,1.5188046818158683,1.7367438940663174,1.71212040472107,1.6354907343665435,1.6629406265529032,1.9709164755135633,1.8944564836589328,1.7948227151111928,2.101626168720977,2.1651622698924395,2.060141684832576,2.041355424616881,1.6286059409114535,1.5922566261318836,1.5595898144163034,1.4234725228526854,1.3255033239335892,1.2976113990684408,1.1653994350997896,1.1474675601341255,1.090684650701541,1.0123979075379737,0.9468279459994658,0.9125672089384713,0.8362225123739907,0.8688891078609838,0.775708825818334,0.8244903617592043,0.7822241157214512,0.937294077903053,0.7702082210577593,0.8144662286698138,0.9394462207374408,1.0386093560369534,1.0914054322171094,1.2595085957038386,1.2085413235280422,1.1243134888367332,1.3223835563257893,1.4181779876971115,1.3786692732534271,1.4265596505767,1.657857155797398,1.7753551929539324,1.6803663877865427,1.7280628962181115,2.0122901856146114,2.0979922697830884,1.9941194212416615,1.8860666861649997,2.5229066461705956,2.4847146172723114,1.8188132371453314,1.1900974621431515,1.12369203046273,0.7972179208363807,0.8434063092792689,1.06715443659208,1.5136427099863239,1.7735976505183562,1.9568396789712892,0.8455062106206771,1.138325878793874,0.7773504360854175,0.9184259291407413,0.7104086171815667,0.6920950711834583,0.8426684526456089,0.6737988696465216,0.6888862876804809,0.6832796291872175,0.955344309907668,0.8888820877334308,0.7370230708508628,1.0865687718655115,2.403326752557015,2.731372688141039,2.8800701160048634],[1.218050639051885,1.012816540751308,1.321292098983469,0.7127298147772156,1.1695118062170284,0.8666695674321689,0.9891234772559727,1.0754855431659236,1.1250599558587113,1.2184498010516127,1.274305804372587,1.283816783991168,1.3842161430123554,1.417922838176674,1.7519223510949078,1.6337545912400107,1.7153304192832184,1.8489704136759622,1.9637951864517067,1.9099448807085342,2.004886635632979,1.8922995191308958,2.1621746923848004,2.1343668009467622,2.1255026291270593,2.0196435933487265,1.9373056182855,1.8255567740740382,1.8062798853338695,1.6150470586802326,1.7999338376594096,1.570834062584209,1.6334893510997615,1.7097141501943587,1.6802828847715165,1.7388313523448322,1.6129093896792641,1.6684129303385584,1.61644103551049,1.6116153083724798,1.7198231555468408,1.8372658567062854,1.8162762947154374,2.0375634675948353,2.0409921586056763,1.8561523262543453,2.3198384338352773,1.8137174861488998,1.6932576103180002,1.884461875419465,1.8804475352420276,2.7152296186081393,2.6722183821260557,2.7536255880721914,2.9248150794541807,2.7243422055995565,2.759748869376396,2.658134789304102,2.863283909034757,2.785331992206559,2.43200020340269,2.0413792534837794,2.1645132891493764,2.0016867479084723,1.8992873599954634,2.0962560821617418,1.9652043355647546,1.9234500479315675,2.0116084682428204,1.9509219283074013,1.89319409878514,1.9669283011456922,1.9163603008320447,1.9835726278053576,1.8789393014300075,2.08548036717168,1.9541621800318942,1.8900142089377345,1.8341409778412172,1.8331088720547999,1.6024508229595693,1.61776495999119,1.40688722839417,1.5188524799481238,1.434653918431537,1.5270374611057993,1.6531355854783127,1.618657440853288,1.7589968486788943,1.7687800868360863,1.8554985653998985,2.025344598079329,2.026195140753456,1.8315983379661962,1.7421738531856594,1.7146387612272536,1.704311731842688,1.6467991710333652,1.4744769756602578,1.3568017286579803,1.43197811008342,1.245877893924985,1.289692428512395,1.1626747786167404,1.2441231622689393,1.0273007672574352,0.9658864025421244,1.1187809519932739,0.9944180670388868,0.9280248059962082,0.8573601916108016,1.0305726344146153,1.1598344416672381,1.3108078545656296,1.4943485701776966,1.6000708720497718,1.8006175746198687,2.5535187288870183,1.9714215528007932,1.8751769698453802,1.7675502647155648,1.728446982811779,1.5999999154469282,1.3233038713977188,1.1469671352569752,1.151147127783073,0.8837073779796438,0.9215104708955392,0.8734788468848347,0.9575960365802314,1.15677528952224,1.0847932015453605,1.0400736286733023,0.9287117068100486,0.9470582944496551,0.9175074194318739,1.1321159941555115,1.2737182991294864,1.500453985940887,1.703812369081939,2.9324566703539436,1.975496816019068,1.8057768151761173,1.8103204858438415,1.6012713775711365,1.619555772053683,1.5581862516647875,1.4666071684028141,1.2739038263046696,1.2502997857519764,1.126419494516653,1.1249964852990835,1.089640510386455,1.323189163967962,1.3905692878228213,1.2424116540810113,1.3015311153088993,1.2196063160580315,1.3232962291479462,1.1653629958801366,1.1876744419892697,1.4274820098738248,1.4556694066289428,1.522949767087676,1.2905872544674877,1.297382636848647,1.0147150195414902,1.126304769094343,1.2595728338826986,0.9404745837441354,0.9136129397836994,1.0162269994212703,1.0520658028224348,1.1007552400854284,1.2104771846414337,1.1802469879848898,1.3152347065923624,1.2446109757911872,1.243008353121781,1.1501562253258413,1.1466908652985417,0.9945237073376448,0.9218830418445156,0.9249517649360373,0.9693456624505467,1.2223280531121097,1.5052948090044542,1.6373998488121906,2.1508451358474283,1.7253652434349083,1.596672081015412,1.792943234107381,1.3300906509469013,1.2357821169639076,1.4638918532262217,1.8285614867665954,1.7263664949158712,1.7076975271316217,1.5944585070218453,1.3580772852308591,1.412200454389402,1.13518357979643,0.9942822265994917,1.1992598992152879,1.1493391307815963,0.9016754043109705,0.9521153506467617,1.1224457568026354,0.9400452101622179,0.8083203733958669,0.9426439301634575,0.9461853225635055,0.8018242624098484,0.8591946729099815,0.9649307318642389,0.9853494773807059,1.1964669333846463,1.5507851831920114,1.409262404396452,1.397956455067948,1.6622547149540294,1.9214626110324007,2.0956260091527295,1.5346403265488782,1.5647292018968482,1.641315738377797,1.613600075257405,1.840648078889425,1.8337509726681511,1.755689192925872,1.7629570064180276,2.082284965706721,2.0200325046398437,1.9158842031172139,2.2187961001156915,2.280645010905144,2.189333374528898,2.15691252061026,1.7402986313357984,1.6636668230406784,1.6333046803707165,1.5065495283793626,1.385234653699131,1.3738994380704137,1.2141697726741316,1.2041433897259561,1.1689205789080546,1.069226081853536,0.9968382766851596,0.9891904630531448,0.912021833106337,0.9271151673079536,0.8596515991681829,0.9191485830051284,0.86730031823702,1.0122394952708265,0.8764427960864616,0.9349604159544718,1.062968304734699,1.1587866305512142,1.1958152743285366,1.3762624931040808,1.3404423199222963,1.243894316361146,1.4447711754565,1.5550766401378606,1.5036279355200406,1.5502662098032127,1.7947411024964257,1.8869720958366645,1.8060541838714668,1.8562251293347474,2.1184931897463612,2.193780460197333,2.110585141995901,1.995622874047564,2.622185301603697,2.5866766671822488,1.9134416336273086,1.249529294114164,1.2144601283821264,0.8807683506435975,0.8963848654716644,1.0714390462619996,1.512268899381396,1.722826379510071,1.9992031886896617,0.8892907403804593,1.173213392866332,0.8245146178659883,1.014976696418941,0.7846928710628772,0.7760247577606324,0.8987177739166217,0.7858458080153222,0.7988016691659942,0.8033575659809744,1.1068399854534847,1.030492533515142,0.8823035502445714,1.3051181301133874,2.6716035188751297,2.990149107134394,3.18570640858686],[1.3587861781220323,1.038523880880088,1.3390432500672127,0.668519781216125,1.2339028976070985,0.8522545515995303,0.9560051496673498,1.0500005001917663,1.0438099760462967,1.1319069752659963,1.1893524279009842,1.2293180203329976,1.3449476870023362,1.3299609939862826,1.7070121071874003,1.6147531488712388,1.6965757003259336,1.884533261118625,2.0444921290465907,2.052337072908188,2.213041110410767,2.1770965636017436,2.4700193072635663,2.4982289494836096,2.411505169578894,2.2065456256894596,2.104903477531135,1.8924265062706402,1.8643416889849347,1.6644312334255857,1.8324820932185442,1.6195951380254514,1.6808443569102631,1.8010755442683086,1.7864195398742055,1.8542377823860328,1.729527070208477,1.8315635189005606,1.8201121209803957,1.9318324154973547,2.0397738556627423,2.0968310849563077,2.1467261057248255,2.4735340237142207,2.4560462717072693,2.3226459782254505,2.820382943148872,2.3469941490197117,2.1864592333169983,2.3917838378571648,2.436422317082526,3.1944748036351984,3.1397911898484354,3.2844726218046496,3.3887401110570607,3.17248040480453,3.168995471469731,3.074361072529558,3.211896413656115,3.1886792174291947,2.773526171688285,2.310989480330932,2.366451060453046,2.269299224946221,2.1784636099292802,2.3336758982248766,2.148010326785584,2.0407190023057433,2.092525804690604,1.9683772697595476,1.9064361839736341,2.0064029087564683,1.9553781051438894,2.0965529549435877,1.967451522779518,2.240887772496319,2.136084619655159,2.0632434479395814,2.032137279099106,2.093678651911099,1.8320172577202527,1.8942401183419988,1.6255198813653449,1.8211232340336687,1.7115431682428293,1.7481469879868174,1.868187333679794,1.7904003914982995,1.931202639326384,1.9162930974954888,1.9787019871722331,2.13576876536246,2.0980492228891334,1.8715886338767078,1.74408904946437,1.6891853633817033,1.6538150637908466,1.6366109037674592,1.4564823008295729,1.3546509824699409,1.469947557833673,1.3046724968693635,1.388511089900459,1.2738451831696929,1.4319904456958257,1.1711330423427044,1.0810322005549642,1.1500035748574335,1.0494597077012273,1.0429229897504806,0.954300650525362,1.1187633186231647,1.171929354463687,1.3214185276206918,1.44986528220789,1.5269725339042308,1.7620781302981092,2.433709100417963,2.016664488684089,1.8761488502554988,1.7093406670665163,1.6452007903563899,1.4863924699559068,1.2074702376889637,1.0579856207428373,1.1385179598349773,0.9335690677279649,1.0169734097672032,0.9755525623315846,1.0234347232318652,1.147278966691511,1.104627449628066,1.0796338129617562,1.0395267101649164,1.0417721554559887,1.0130031851375025,1.1303335184813337,1.3446727673654182,1.5574137998856945,1.7474355421727448,3.082916824273484,2.0953289377328392,1.884866267137971,1.896575845789561,1.7630660633865336,1.7156316652085066,1.6082051873973364,1.503649952591785,1.3277282416021876,1.2521645966118704,1.1582485378583258,1.1095766626495172,1.1136114160899826,1.3051552630487688,1.3587837842043162,1.2560207717704255,1.3069240825764172,1.2635254704366181,1.3734999579306644,1.2617231034855738,1.3192945247162147,1.5658721633301496,1.5969702856068306,1.7670600823236327,1.6428336750408603,1.6839536302168514,1.4050192966796935,1.5545489630202582,1.416666125655842,1.1372046673681424,1.0876127880969202,1.24712347563127,1.29535861874028,1.3197111713521845,1.4076352718785765,1.351358687804685,1.4412795163476857,1.4155690830087602,1.4613486027334506,1.3907105260972445,1.4129582621100725,1.1950726078425928,1.160424429315763,1.1668878984860689,1.240841087007113,1.541244767510318,1.8498504166564262,2.050985847940931,2.4633706644923987,1.9308049943097099,1.9181113343402676,1.817331606127632,1.4727804504861102,1.2897984083704812,1.4351967160823778,1.8228724536210152,1.699548753047914,1.6781254627487956,1.6090973899767171,1.3723805580830555,1.489464149695737,1.2307859648386972,1.0769720547676471,1.2937624613467114,1.2753752119490709,1.022686366142552,1.075415792323879,1.2615149022723506,1.094351642430753,0.9334482133219679,1.0928944634631106,1.1232481601124846,0.9209161585212784,0.9834520547214021,1.1171324317744036,1.1416153237228737,1.4130656286286039,1.7734132511867697,1.5997220645985244,1.6160419779353448,1.8626594783788408,2.0369688136556983,2.3097725808491028,1.7556366507240164,1.7639240705614736,1.8126828988650616,1.7577827402533517,2.0006211009687647,2.0087815975674745,1.899629739073953,1.8962535147218418,2.21526853380175,2.1323998860813096,2.0127809458934793,2.31209821599714,2.4207952091789453,2.3229130338170787,2.1581523370876483,1.7988671613823415,1.7170090441679466,1.7115619635418167,1.6160483710433609,1.476217906432344,1.4878031856142475,1.3256330554199431,1.3121819262506433,1.3151434691103299,1.1875337778724324,1.1121520331300483,1.1187924678470444,1.0455030475590412,1.0239706376062698,0.9775103866419895,1.0770107249429466,1.0019339378959233,1.0888616425885211,1.0395939387956354,1.1365112847975365,1.2706472229475578,1.3513775704459379,1.3527008493491506,1.5514180711389425,1.5408028699260028,1.4082973800435334,1.5946688269475153,1.739854942975607,1.6812942024699977,1.6924927775766156,1.9692611891269192,2.0510348684717155,1.9449321011446334,1.9975572919708011,2.3312179391599948,2.365629684595734,2.2707883580408104,2.116723386745545,2.805508165885543,2.6824288928903406,2.106637179676446,1.3826953504600845,1.3408319912782887,0.9908367593554029,1.006125505922881,1.1470098536951099,1.532659401081131,1.6196460073331291,1.966073346476347,0.9767989344588934,1.1890426189723748,0.9019848214229494,1.1109620366148485,0.8933765863529227,0.8839505763990069,0.9414225836387142,0.8543549744696344,0.8602968839288627,0.8528855483735917,1.1062827157166,1.0311757066188931,0.9048980128377264,1.2568650723867791,2.6491624509911302,2.8928527383366593,3.195358297020349],[1.4836943311752564,1.077001782411326,1.3536163266092192,0.6725248080344677,1.2145150414121022,0.8501982399774324,0.89068180900192,0.9500003850088296,0.9064983514629735,0.9550692213232493,0.9890182065031803,1.0505333671620554,1.1339051496203902,1.108716631206006,1.4430619120952743,1.3517400416144905,1.4457839305574691,1.6009592726342614,1.7610848664918446,1.771628196322304,1.9256636060944439,1.914686384303425,2.2173740790437964,2.265012950979953,2.177512924422928,1.9316850613919738,1.8378355753468116,1.6247301973024377,1.5998196141214698,1.4123551105423713,1.5388452503250707,1.3501220552594124,1.3936341260400547,1.5037272691707417,1.5117928652605628,1.5788853482411032,1.483910135000209,1.585762430932918,1.5961491981021716,1.7576509230999438,1.8507877463017988,1.8599793835085612,1.9306610446255625,2.2248877881885587,2.2697331306854958,2.117428707039129,2.6138160449106604,2.0870861265851985,1.918764266925752,2.160056218719687,2.1861972003669687,2.928948019090521,2.8979435029638205,3.121674412219665,3.1955800562272576,2.9447531095611343,2.9393161193642734,2.819213974403739,2.9879385242125083,2.9453922077708734,2.520316147077967,2.0505345497859953,2.144658554131168,2.009853384170989,1.9104442515566034,2.0769624353105978,1.8530071116012201,1.7434731458831219,1.7898564037370648,1.6684270676914619,1.634746526753546,1.7329917413479716,1.6550405620404152,1.8088812841968702,1.6654444144265674,1.9390589788631791,1.8374335094258802,1.7643333233445422,1.7502086831731098,1.833556163116386,1.60064615270399,1.6990568262318133,1.4384236377752948,1.670339940497193,1.5590377204215013,1.544992580581743,1.6402986138657487,1.5667936041535169,1.6599769303567227,1.6337206416841323,1.6737058676206933,1.8172107987687365,1.7901812835735949,1.5660847798931388,1.458373492783128,1.4022097402866132,1.3820756638508083,1.3563027985761256,1.2122429739732588,1.1717927570473485,1.2588611614853267,1.1720825611398367,1.2313468162822585,1.1649478381083835,1.3696030786228508,1.090376273448494,1.0973638468454814,1.208823663421686,1.1464417768452773,1.064206573929925,0.9835664612325987,1.0631815498872512,1.0720245216417834,1.199421057134091,1.2559962358980648,1.3396697125198789,1.5238853303102982,2.3311310633175397,1.7571802373947571,1.5964255250488641,1.452774455155676,1.4179960634125695,1.3193044724548282,1.039770560118113,0.9257664167036497,1.0577449458685397,0.9314284773262017,1.0091270317029906,1.0403319770192878,1.0822116843139842,1.2075797540896829,1.140332630105007,1.0871082931608171,1.066733676674239,1.0686084622647867,1.0681059068042404,1.149426471054431,1.4515407279714534,1.4914317140843976,1.5861060830589409,2.715327300256452,1.8745982244429142,1.6348278492450574,1.6561393566392777,1.5503691652736367,1.4985721727035137,1.417022938093469,1.315952330215806,1.1805898559466232,1.106529558597984,1.0696678793430576,0.9954493328210297,1.0281899925380409,1.2639113245316547,1.2318017153829854,1.121434036681182,1.1508930197842362,1.1327135730072706,1.1984264364733752,1.160787284311032,1.2098505877727013,1.3947092256218543,1.4773655217425878,1.6229270694036038,1.5857732104568378,1.719358355368835,1.4801744387734646,1.73974632358927,1.4855787465988972,1.2986876355713721,1.1591853880616891,1.2851669822689042,1.271317394056704,1.2489838383481737,1.288476663606714,1.237347970453749,1.2862322978154819,1.2671763717538396,1.3200780676300872,1.293232559926043,1.3353269976108715,1.1409339099088196,1.1294630210847216,1.152595292688691,1.207859891245643,1.455086293765709,1.7177928995437224,1.9133047387132738,2.4282215279935233,1.8286098734300311,1.8163303384696232,1.6710733188807423,1.3895257909656484,1.1970768699964167,1.3235859024509007,1.7415126548409647,1.6811642946944758,1.6728319589970475,1.6786792810920048,1.4692732956666246,1.5912768233774888,1.3572476084991865,1.202221042175875,1.4290718736907975,1.4265464020180691,1.1725933602295875,1.2339156943131298,1.4230333283792396,1.2702873870296525,1.0910691778445303,1.2676586640462109,1.3107873763821103,1.084183484216085,1.1497380857638804,1.2893426887156827,1.2881159272160505,1.5987850170499895,1.9194782137811701,1.7517941903380423,1.7754919622466367,1.98577691578277,2.1451696669021385,2.3894398160344914,1.842772855638136,1.8428460096190065,1.884391664328589,1.846382219470652,2.041891061861357,2.0503167900852097,1.9564115828475364,1.9469486991237566,2.2328502226474636,2.1586739692067467,2.032463477360968,2.2608892775756013,2.3946420697418738,2.3460486946093164,2.137504617132949,1.85590093992424,1.7503403836071911,1.7550706913802911,1.7048368300079686,1.581813969212606,1.5884904976847576,1.4283015214745631,1.4340655753400542,1.4661421005686621,1.3136241761188974,1.249196889038684,1.27667892111795,1.208644550234931,1.1561512964200191,1.1336678543900902,1.2682152127299322,1.1806211206749186,1.21706640022908,1.227696791811694,1.331831705199679,1.4610192694636979,1.5205664932974332,1.5041455138994066,1.6758898482259728,1.690772344976306,1.5696226686203205,1.7144675050040135,1.8513601173318577,1.8076898410822058,1.806188324657087,2.033521950698586,2.138778983271585,2.0417833601595876,2.062012321617611,2.3670952307736393,2.4303604415645177,2.341568934977339,2.2131487396273064,2.871642085130749,2.7565230212044987,2.222626211827479,1.503767692728953,1.4821579468925294,1.130753018270763,1.1112408475388245,1.2657039572458713,1.6279585744128318,1.6997683160183086,2.051148318370982,1.1091364385570437,1.3055430831151702,1.0063051640668295,1.1294174288473275,1.0205270467948862,1.0062391034732474,0.9975508620359709,0.9131303734008777,0.8885335043129652,0.9188451200392447,1.0571634084852801,1.002075632752018,0.8746580075175754,1.156351648933876,2.4802121931438927,2.595989875491731,3.0386156458820226],[1.4224994477712876,1.0072811564303514,1.2721597379559957,0.6795697701759075,1.2659064005710128,0.8702167512772313,0.9755389887862788,1.0578692272976453,1.0372968844927535,1.1400101765776787,1.1954858699239324,1.221441426817652,1.3527103570426964,1.3496506483172122,1.730826062497848,1.6217010636578923,1.7153574301802768,1.9201752419184266,2.0959744602994523,2.115175965031435,2.3012099936638997,2.277871271812276,2.616215173592742,2.633904865595489,2.5166799682193814,2.288333622690951,2.1666869580085204,1.9178444867643085,1.888697084307021,1.6897559385047534,1.861953949496636,1.6476864295517648,1.7062827759386745,1.8431312694759436,1.8207712155286533,1.8974647918835121,1.7774607427166889,1.8915824450555228,1.8861448732884347,2.067265394958128,2.145417387228534,2.1801778329764416,2.2833330825938125,2.6740796729595084,2.7084818270723536,2.693415525418301,3.2371902565396646,2.704642867482603,2.5575934370712274,2.8429351110990098,2.8319535757291807,3.541104286602305,3.4219277524964453,3.4684782428434198,3.547678527310943,3.3827881883761353,3.37364739307408,3.2071094066612424,3.3156326626726216,3.3781746507050268,2.932223455709048,2.4463677576076797,2.4212347893366473,2.335714950265962,2.3098033335448873,2.4128349052612035,2.2262179915451537,2.108556257489745,2.1583578465251376,2.0274993153626295,1.9902397671589074,2.1374023836481433,2.036354106033145,2.1897577539676663,2.0268454251780357,2.3372294284512716,2.227486942324455,2.1474377813227563,2.119993694488157,2.2109808252552434,1.9326981189443135,2.0120835093995417,1.7313859510876057,1.9507760168459283,1.8391678028606746,1.8406726715273753,1.9454327204324755,1.8522645468698336,1.9989023667004115,1.9674549375892427,2.0382724464194673,2.2057759852426537,2.158381176678237,1.911532950649346,1.764293406804045,1.7102229339960888,1.6681689406450158,1.6434943545955225,1.4639029067345621,1.3624619202614556,1.5057431151438123,1.333782396531816,1.4360858548335471,1.3241916095642667,1.5217790186994617,1.2197264602474227,1.1018670609865466,1.154000590602267,1.0504515931446243,1.0794945997747718,0.983818654638448,1.162149871129953,1.19387824675808,1.3389565281951958,1.4566098858174472,1.545203705266155,1.7608754640408515,2.336586999062773,2.085349500344439,1.9033818236580076,1.7267485666792555,1.6536633509900045,1.5219617772355871,1.2482158294989978,1.0879998788427976,1.1824974616941517,0.9647714881509241,1.067945638390031,1.0106726497573286,1.0440563243019458,1.108144254650127,1.1105068750447498,1.1507529349761005,1.141389878197071,1.1291534294075463,1.0850912043477838,1.0877306899310275,1.3914664567217911,1.52166862858484,1.7806118639171986,2.9882039381286822,2.149027210030399,1.913845614904658,1.8805945787888507,1.787149488155629,1.7342838379485246,1.6152733424887824,1.5233641221458165,1.3633639278102916,1.2715390899690382,1.1783868368518227,1.1335794074267866,1.1152976076167198,1.334157293273167,1.4033584608353196,1.2771827023761972,1.3260456292800642,1.2893155143913062,1.3991524966873023,1.3153846448084194,1.371918486340571,1.6209128673005875,1.6427743563611317,1.8456166940332261,1.778193122614119,1.7614440370221027,1.629490535628049,1.849083808899841,1.594402735216981,1.306634196573553,1.238199276049406,1.3450463734130806,1.4196966355341876,1.4354833430915925,1.5080027793024877,1.4440885740683944,1.5080067918345919,1.5035978358332467,1.5757262605351636,1.5226445922902876,1.5624791452968125,1.2963952208475293,1.3261674412588114,1.3901124744924416,1.4491084587682626,1.7506399479150139,2.0194999253691646,2.3121216184554405,2.6678604497229106,2.169747543658123,2.193174234057032,1.9576647450556235,1.6998044726984813,1.4637786223326237,1.5020160629663757,1.775561220975594,1.607925750700842,1.562266102743848,1.5344833358031618,1.3083500044611847,1.4433523253323228,1.1980979120453246,1.0490213708616922,1.2413498168114587,1.2462961660612621,0.9862977055765411,1.0238105718455723,1.2308837152730743,1.0701538900160235,0.8940311394699688,1.0549639859352042,1.1025654090492911,0.8824381910604413,0.9560373395792605,1.109457400531285,1.1386654277819699,1.4191274595731107,1.7906789969751593,1.5982265366417994,1.6367893941160034,1.9099408076637827,2.037187935475554,2.3944845493197975,1.7797473233896215,1.7838185516475704,1.827371888839974,1.7523309164102086,2.0354110864927666,2.043964327874811,1.8907144655340657,1.9140363358644807,2.2577756230537323,2.1520815530243906,1.9942143646437893,2.264896133027957,2.452562904065386,2.346711210947475,2.088332855335051,1.7458025755195286,1.6436166085942474,1.6766011171387558,1.5863873215344353,1.4771987347163669,1.5046938707984638,1.3494274582546313,1.3110533626229732,1.3265921543947303,1.19347256588491,1.120096283688546,1.0957321976526844,1.0244230813697426,0.985986539426456,0.944687298657379,1.0778626943492087,0.9863229517238368,1.039682963239264,1.033558719868446,1.1430056859836508,1.269255625174105,1.3547176175585636,1.3349479600681156,1.5495982723402328,1.5543176941142687,1.3948950708730194,1.5809607315087288,1.7537615791536751,1.6878523589768415,1.6719682134424263,1.9888073346730546,2.1200077676917575,1.9342779523896099,1.9960891233331306,2.3954665856111466,2.403995070166017,2.265010701104496,2.0477070822821957,2.781402568126735,2.568592369334426,2.1134330970151467,1.3702978776083368,1.2918846081586595,0.9456907854887019,1.023739651604238,1.1098898427942196,1.4762683325148718,1.4769604545208195,1.8006972557262175,1.0019706447991892,1.1325530627168567,0.9073699375809845,1.1753514846117246,0.9011895426153794,0.8901440369292737,0.9556192375990213,0.868685525994853,0.8733297423007735,0.8563821272789358,1.0813477432674743,1.0143096383697052,0.9521943270955936,1.160229625375085,2.519827134491521,2.6515882073761126,3.0002038519272003],[1.6446246652150385,1.030831273795326,1.2357322278731229,0.5894734624609795,1.2440242311148866,0.837429456344542,0.8885007443114789,0.9391044623406714,0.876283937378374,0.9037787198495109,0.918312274558028,0.9971667097560676,1.084677531278,1.0409284194358306,1.3593564629229766,1.2900611399250477,1.3856829126736283,1.5443205383188139,1.7214175680848858,1.7448169726159513,1.9190039107643653,1.9360383786808928,2.2497877562613566,2.3136055730179166,2.2104116507851,1.920591432820801,1.8209358465592003,1.5877895331956744,1.5699807812429882,1.3843433880939033,1.4790236366651337,1.3121573805207087,1.3467253278234514,1.4604173076142553,1.4871646058238253,1.5520418820856186,1.4885582221566687,1.6113340861775594,1.6384435211039188,1.8622089222396105,1.935107779905106,1.8897588037175603,2.0080864359668835,2.327070688244678,2.3832209651771232,2.255562712373287,2.786518660322136,2.240769791992714,2.05208423769315,2.3166312858193483,2.3712385409328447,3.058829582721728,3.0539473461747852,3.3736561706181365,3.413344805404704,3.111468554593321,3.057228693505258,2.9332255529906957,3.1054417587541754,3.068672830129863,2.5964614190531177,2.1095432442882105,2.1592574516623295,2.025289481421887,1.956215377820396,2.0880202450901213,1.830270646858266,1.70113340847448,1.7434764780051857,1.609360406846522,1.5831281184215549,1.6748004460428714,1.592348656382487,1.755221275066428,1.6076792811936882,1.9040211665126816,1.8199630296240112,1.7406905310651628,1.752968806407409,1.876810688376375,1.654637432853733,1.7857424020950448,1.523975882719554,1.7877186019158373,1.6680211559685185,1.6099988869168984,1.6808293581772924,1.597801532445185,1.6532569610961352,1.6153150184870064,1.6287356198446168,1.7642233702060126,1.7060991116307953,1.4871434427001693,1.3822210139884255,1.3151739744581479,1.3120459633874362,1.2906942959526573,1.1504524610704876,1.1483155456436869,1.233887802546348,1.1891559484919552,1.2542174561795847,1.2241516173921696,1.4817973095315804,1.180152676442071,1.1452407901221306,1.1727438991626822,1.1095408118459715,1.1186720420062761,1.0252221189423636,1.0987827070272578,1.0797549300787748,1.2130057488842891,1.2247343810580644,1.3035510602501044,1.4611431090131324,2.2815059411198106,1.7066049909803862,1.526964827534065,1.3897060074848817,1.3599902487786635,1.3005904875384215,1.0160965234261685,0.9060710574693075,1.0884515121383112,0.9576197737979014,1.0688175245505471,1.0966061713437407,1.077736127957844,1.1135125667642936,1.103408464072442,1.1323503800525294,1.1368479373491045,1.1438392127805521,1.1173794000331791,1.0440543565497584,1.4323433758838668,1.4163317976220382,1.5904254449253508,2.605168791086713,1.9052063194566036,1.6273123302870753,1.6298902157443347,1.5694951250665825,1.4941816368510563,1.409597126714371,1.3098598437692954,1.1988712907260548,1.0969781654382411,1.0797207129196589,0.9722256389523191,1.0238299992459754,1.2739033499003574,1.1973430485158552,1.1068321672577797,1.124787073387997,1.1449896509891595,1.18861398110054,1.1955283470732099,1.2712282895022733,1.4195427698482963,1.5238913674233485,1.706176470235908,1.7668796107828624,1.8889025012937348,1.8000140833559966,2.2092438540713437,1.8773382819699869,1.6040720121544787,1.3947209408447012,1.4498987349797852,1.4265302898511971,1.3665363352188036,1.3710065380873944,1.307915274196339,1.3153391645110257,1.3289986129655105,1.4091635288214557,1.416809704306873,1.4826473825135806,1.2542442238093519,1.3184548862714205,1.3798821430165025,1.4065009294978186,1.6240404103746522,1.8438286807421227,2.0942704929447564,2.5948537929023803,1.9450207138231699,1.9935730901526143,1.746483626070028,1.6338961484019232,1.3742415065150106,1.2964228332146308,1.5648439504121738,1.4986864181995563,1.4818810791153856,1.5445663946747457,1.3678733571054258,1.5462717488588558,1.3358749554467595,1.1719927687881686,1.3880985841417064,1.4376415039950123,1.177437506518695,1.2057863746058808,1.4502852918946851,1.3237137427268606,1.1083125282858102,1.2970786002676449,1.3890492059768222,1.128137416986016,1.2057371933824976,1.3892076294578715,1.3911357540112377,1.7312635440468627,2.0330808905866222,1.838814171921548,1.9084535431597711,2.156680016083583,2.2599003145747796,2.59328200815586,1.9589016342730103,1.945141978183044,1.9610286187382024,1.8858713854995761,2.1059332931399823,2.1269039310416793,1.9938036597751507,1.9691696018460256,2.2603692228224657,2.1858900035145163,2.009052455177408,2.2287440782146084,2.4570572291503447,2.3534998336311928,1.9833611952371,1.7767189597054482,1.6559901650621485,1.7078169558791998,1.6976195976356419,1.5896954478108374,1.6252547166871691,1.4701393795350277,1.4511041503124031,1.524429939519731,1.3628182736005545,1.2997151150516617,1.3213691796510723,1.2811903443665895,1.1972158057170847,1.1876173611373635,1.3698023074595431,1.283639837267283,1.286301648775845,1.3352063986602873,1.4669937373250677,1.5717758239340769,1.6329438412011092,1.5710408341474666,1.7529278326288535,1.8100362210115886,1.6388108247032498,1.764444577114489,1.9485753277382685,1.8990874574557615,1.8311377973011613,2.1113250219559765,2.2630865717150206,2.0751071434040846,2.1023477629068923,2.508772914165038,2.524263350862062,2.388323453070526,2.152596293883202,2.8689601126340984,2.6016741748160084,2.29232710767591,1.5378924984658433,1.475392135342214,1.1278381853830683,1.2091769078880779,1.240743495282444,1.51668434533437,1.4176370799283977,1.7446975942984735,1.1452970910124185,1.201364980901114,0.9903616805869006,1.2011296209053564,1.0490670635354118,1.0423572969353017,1.009380296174747,0.9578021615924184,0.9349654910072739,0.9436212632080253,1.0321838055843533,1.0058417221494802,0.9734259109301635,1.0496036073264068,2.3309018588691983,2.261830148251836,2.8532510096573107],[1.4646089123073371,0.8814091965476801,1.135347840198482,0.47876026255079873,1.1736812785780641,0.7303582187434979,0.8000380422839503,0.8435345057686456,0.798388324413181,0.8540019085974974,0.8711267021694721,0.9243971861828358,1.0423083519645846,1.0297068016119395,1.3653730146125327,1.2710993253033964,1.3595432810129753,1.5164230630131408,1.6973284767307173,1.7085841196690565,1.8795943076298989,1.8872810104318354,2.2095904430692093,2.240536738187327,2.1484039635688537,1.8997904793315659,1.7813161262073376,1.5586309438994215,1.5283719965155886,1.3419921385123166,1.4568577256549093,1.2693084126266934,1.3115891701663207,1.4274261030927946,1.436743008922954,1.5031628236905286,1.426331456702316,1.5457959927353415,1.5624689467214021,1.7552759018333934,1.8324639471090443,1.821165133622982,1.9134299092233473,2.2759763953424463,2.3633840526009138,2.282035501143391,2.831204181433332,2.2325071251938216,2.0440042448959383,2.335449233012924,2.3466935068205683,3.082482148427515,3.0199292513258253,3.173838165342643,3.234277231145777,3.0197688658189117,3.0208775649139015,2.8266412747168874,2.9872805707065413,3.0159148890725014,2.563645328821784,2.054406829359479,2.067391025859934,1.934029972788152,1.9178399199232117,2.0277447232399144,1.7934142338609205,1.6752619598071499,1.7399743908880412,1.6150424988656384,1.5883411295861134,1.6946552914516175,1.597783430865269,1.757118519672372,1.582711802485723,1.8698269795291447,1.7651270551621323,1.6922763303528388,1.6893237543369166,1.7937597584340597,1.5593410128824792,1.6788519641528308,1.4162372942231973,1.6596364897542422,1.5559483210299274,1.5124546653563873,1.6009992629621952,1.5244278502099693,1.5911730255845014,1.5618146477316934,1.5883405703647566,1.7536541757597583,1.7084792968586853,1.4713399329057695,1.3612138967071967,1.3075768571561701,1.3060739790846647,1.2588224766944933,1.0993729648706823,1.061422168285108,1.1608401361252165,1.0879642649099273,1.156500434278886,1.1076125120061988,1.3415481269419147,1.0719919046376358,1.0035807852778857,1.0700678413769458,0.9970685498385586,1.0024076969439448,0.9039234368102076,0.9942737144084783,0.9936078844010914,1.1317266392893846,1.1809770904222292,1.2877777270471333,1.4504376680759765,2.222510327695725,1.7391526929564352,1.520759385737046,1.3966424288639574,1.347699274947451,1.3070284291004701,1.0140135409657067,0.8592223016460236,1.018630450042505,0.8668458453515443,0.9687088567241713,0.9745695633477696,0.9546513997917767,1.007538995597,0.9892919197028074,1.0133564425103907,1.0039955224209751,1.0111436358545451,0.9944049116210469,0.9502290964186816,1.3179605695995882,1.252253638003153,1.5451305136201525,2.50496891353863,1.9576711700039278,1.6157821114322934,1.557845563371682,1.4828412906835826,1.425863418082956,1.3373392850488515,1.248175244682935,1.1096103332872647,1.0178510011694852,0.9747057262717219,0.8746311694114618,0.8899586457251696,1.2228278123431442,1.1716487399849451,1.0067374025278197,1.0377824732447167,1.046243184115981,1.1038013785684306,1.0982929532843277,1.1753153078347276,1.335759694723879,1.4363071507035137,1.6003050392469715,1.5991520602934142,1.7208374565380942,1.6026807142831092,1.9382894336843033,1.6971753987737666,1.4274423707848778,1.2466427951343744,1.3032588455223326,1.2885503367273667,1.2415942470960235,1.2599509561869564,1.1948080347861105,1.2159671820231703,1.2214474532761836,1.2974643450837111,1.2704899613145622,1.3529336284041242,1.1292407294630216,1.1728866445958974,1.222024787084313,1.265492845994445,1.5111353134180605,1.742594316563511,2.003471971358916,2.5035238904822164,1.9053129628798127,1.9471168687539775,1.6992013033132625,1.5371993780118494,1.2738692896854222,1.2279399430332287,1.483444804721516,1.3911528750319018,1.3886439765264305,1.4444479619489345,1.267578872639161,1.4049004974434398,1.1925394183371254,1.0533663286197328,1.2595017308072396,1.2799926527410226,1.0334883481574129,1.0791604592609525,1.3059303291387343,1.1504313353418285,0.9685911729453598,1.158185660160672,1.2258295602820974,0.9821970181459034,1.0829256748323348,1.2583303078034622,1.2659567698546192,1.565736394527058,1.8647039000781669,1.6767531885722051,1.7251266169719464,1.9742050956938821,2.0643718839340117,2.374527543269479,1.7602592376622466,1.7599019338493507,1.7623218766770712,1.7027797748447568,1.914383308440571,1.9418813439600202,1.820776236486982,1.7978986413880744,2.0966909708103922,2.0276383681582795,1.849495136202162,2.075403528259041,2.3240138524344376,2.1859066272063337,1.8779727794665853,1.6477248556975308,1.5272023278305458,1.5570442507917768,1.5292069511314377,1.418402900460274,1.4432602978317668,1.3065941063900033,1.2902789404779231,1.3415363802591764,1.1906700217589847,1.1494161370024525,1.1464360543252914,1.094134414685253,1.0353780181812842,1.0138422862618526,1.172160208086222,1.0938483664511598,1.1472178509056423,1.1471337289780417,1.2628289091231162,1.37129199879586,1.4307200767072459,1.3820956290686521,1.5522852988366884,1.6126628217567767,1.4583664635231002,1.5792994021971074,1.755233054624086,1.7200784650846557,1.6675473957236173,1.9291120972682327,2.0915297576050027,1.9103019275755146,1.9529968724708486,2.341172407171164,2.3832148287931734,2.24153901130448,2.038170397440468,2.745945933387903,2.516811610992087,2.1482119500114454,1.4635775106199063,1.359199723953457,1.0326844917057025,1.1417112992846896,1.193023998410424,1.5251081764232102,1.4584281401636319,1.7107739771481734,1.0369423855736377,1.1193743247524606,0.9107407320865472,1.1174821892760358,0.9125342795069131,0.8895493735576823,0.8678237775798964,0.8374051730583589,0.81248516436527,0.817167548695269,0.9233220723594416,0.8961445265677275,0.8875079765874911,0.8977176168689245,2.1819989971608167,2.0803244863062584,2.596380194063963],[1.4071318303776224,0.8436704135500541,1.103711110989722,0.4709605423808692,1.161400850815728,0.7145728702825412,0.7870111015251994,0.835410968501325,0.8014371424246572,0.870513160672,0.9007271708557979,0.9258163914078252,1.0709428905955294,1.0683929720031378,1.4438907524425333,1.3394146148214936,1.4284786806800287,1.6171860644130922,1.8148327761230278,1.8224046949823236,2.0226856736822256,2.0291651985081796,2.3830409693261436,2.40587158145905,2.2688313877944175,2.0273965360579376,1.8790640392544204,1.634452857713905,1.5994352973861243,1.400432990824204,1.558974454415924,1.3351782899910918,1.3970150489529989,1.5277367454016315,1.5177542137367852,1.595038177240811,1.4833606804234156,1.6155244062103709,1.6215847121662914,1.8242636780096506,1.9039893907866612,1.9190824089680696,2.027775433600814,2.4396602267541745,2.544978706290577,2.543312813744531,3.1434683876224843,2.5119314921786304,2.315121211650997,2.6702379122793847,2.629852822232639,3.334655870067643,3.211577208478352,3.245736491575601,3.319340691758205,3.1576671144124058,3.155299378022421,2.940084405328455,3.0610627878224763,3.168339810309915,2.7032879357060233,2.183401942669048,2.1521951567284323,2.0802609102295295,2.0717076453615695,2.1397600364997156,1.945406522112771,1.8138288133016731,1.886074947378385,1.748997763227686,1.7218291889797845,1.8624058081997552,1.7497085217143749,1.9248652024815232,1.7295896294062727,2.054568118142531,1.9153798837918223,1.8363327821368853,1.8128623407242643,1.9117051192197974,1.6516701399097762,1.7535874747784388,1.4753623234511302,1.7173061522771527,1.6049430641960098,1.5652804433717773,1.67575428336192,1.5801607887143783,1.6959216072075307,1.65869430859747,1.7184988480187415,1.9150241435672852,1.8621061047937142,1.5966456925680486,1.4570141490883541,1.408396240476476,1.3713051011707242,1.3268998947588815,1.1484971967757642,1.0787862407874143,1.204546288215497,1.0894883927874124,1.1686313063373095,1.097439043897211,1.3407138201401916,1.0575249086916672,0.9832683821540923,1.055228557718427,0.975881845677727,0.9766883215615121,0.8758185717272863,0.9774076968785624,0.9814551849554504,1.1179921581385814,1.1953373950770163,1.3065531938596529,1.4980977911693762,2.129566397138056,1.8478077327041376,1.612251977882584,1.4624563992587953,1.3895858303960607,1.3237613365816483,1.0272063552587374,0.8417865202375633,0.9883402147942691,0.8393509543870553,0.9398368625900473,0.9362170799666415,0.9390605034897398,1.0093912083441339,0.9939130636425577,1.0168482885353558,1.001054443015218,0.9917425083396627,0.9610135343276098,0.95494093096532,1.3236439345841777,1.2945226913363241,1.559821482576033,2.5857250649940213,2.0038126833638614,1.6827597781560752,1.5898856741418161,1.5189002168988133,1.4626220324128485,1.3529983858049757,1.2647078119685449,1.1108284634002399,1.0200701616357906,0.9679973572446384,0.8814029963639046,0.8746251630400692,1.238758529711861,1.202301146374011,1.0173590096399323,1.0584899185977399,1.0490922612191087,1.1254646569884073,1.0983569498036883,1.1657337690896672,1.3576204295572232,1.422904342046141,1.6147518199818711,1.578394732546206,1.6289147452169446,1.5194104530225974,1.8108418354377416,1.565308285721003,1.2705324416369213,1.1502958745788117,1.221878368316409,1.253516538463147,1.236055829676893,1.276122012521555,1.2129019237437315,1.2423986193695093,1.2543364231849965,1.3318731642526302,1.2951172195216518,1.3685033995581881,1.1253103726854097,1.182817448888071,1.2392523707015473,1.277689398781913,1.5599617542955757,1.801002981571876,2.126961005798345,2.5271807461613345,2.027919935196417,2.06606877087757,1.789245203660208,1.5601624559842535,1.28887929141164,1.287090303227482,1.5880176509990027,1.4593828554894914,1.4353768493480623,1.4687265513154941,1.274232983427637,1.4189969538868785,1.187017208263574,1.0372958140850461,1.254934122155418,1.2774295576786991,1.0083713615472274,1.0625655601075947,1.2997418378936465,1.1321924049163652,0.9419337466244553,1.1403888510435454,1.2081649798181826,0.9555751026201795,1.0627133564790616,1.2577796606093665,1.274522010104743,1.56527634776399,1.8814896106942334,1.6871584447868055,1.7423494494368115,2.0201831982643497,2.1057860426060966,2.440184662135861,1.8130754780119362,1.8091476255256276,1.8216835184894857,1.7461857487682242,1.9934376803874139,2.018202470917125,1.8715486206921728,1.862741045134355,2.1912891710038593,2.101182505512404,1.9182992597513913,2.1806442879229397,2.4129039196792834,2.2589938638113303,1.9454005610486236,1.684976120805604,1.5727975287239881,1.6107889247846072,1.561790703802944,1.4478227710554168,1.4653778827587483,1.319340101817124,1.2971346088264457,1.341896493991168,1.1763753319863408,1.126850158580383,1.127973045795287,1.0677476932062566,1.004814643911838,0.9859462941885699,1.155703798546565,1.0706439677320616,1.1264854955310701,1.132264615264544,1.2548217444835474,1.3691384753808196,1.4374063458746598,1.3899843931757871,1.578365658324089,1.6367976914592859,1.4683334143044229,1.6059221894133568,1.7947438490928946,1.7455648082281658,1.6903009075023274,1.9861456492411507,2.1408524477196065,1.93445106797324,1.9926960901930915,2.426710581191439,2.4419416271496535,2.280044434034181,2.042405369579553,2.761999808719243,2.49174271920512,2.165374657537085,1.4809273900698159,1.3573533501649393,1.026140715898771,1.1520785562781044,1.2011377158043874,1.5332208462222747,1.4539265355802142,1.7139275575401034,1.013247598028194,1.1126379208704975,0.8782541296467434,1.1027471262440867,0.8798371895753454,0.8553675059965742,0.8470461259681604,0.8066098594979874,0.7863884603359711,0.7831656174792538,0.9004890275335976,0.8822189928607305,0.865069366430268,0.880968889878082,2.1703652038990175,2.112051324483905,2.583933997044724],[1.5374125169295223,0.8861218668884949,1.0696440565787986,0.532360596393151,1.2101480051809343,0.7919973000022639,0.803923746306994,0.8426723919146457,0.7944018524312855,0.8294540997619088,0.8456015598565745,0.8684942385022767,1.0098034536501599,1.0150004283393703,1.375772885545992,1.2635769754765012,1.354076127184323,1.546224719129647,1.7674712104784522,1.762217773616231,1.977865727705151,1.991811437692504,2.3652139401690047,2.3978091643026413,2.222066164789531,1.9823332788489814,1.8016527360418586,1.562058374474076,1.5194844094397015,1.31918199325016,1.4789239095442703,1.2548884571820285,1.3173982746289583,1.441872929159221,1.4376781908813885,1.519246151950259,1.39949341625483,1.5252216775368226,1.5486402573213476,1.7691065979836271,1.8392322092782396,1.8524527789676617,1.9719203478371419,2.3919497398399794,2.5222268665118275,2.5394286157006007,3.1635105547438815,2.507995815613552,2.3020713145433938,2.6852295978590046,2.6304215365698935,3.309824153023785,3.1790844071601567,3.2035868515899715,3.2498503266340757,3.1138529586385113,3.1230018606342407,2.8700300191794685,2.98822274559769,3.1376057982723076,2.6625238891266365,2.1460455184345415,2.096171610122845,2.0277657754880485,2.039428581923193,2.0901915667162174,1.911372306723314,1.7594574414147623,1.8625111289419944,1.7006954036376067,1.7052618648545796,1.8681774582454689,1.7261916058308933,1.92902665360719,1.673293189216692,2.007873257587103,1.853596629010271,1.7655985415331215,1.7406210157548607,1.845151950435134,1.575604540441256,1.6982731965299793,1.417549459240173,1.6670552923003106,1.5498808174770489,1.495579962604446,1.6047725410066442,1.5110475972384618,1.620450401412008,1.5816445179719905,1.640486276293595,1.8501756725049467,1.7896896742800743,1.509149062045369,1.3718839888785666,1.3256898389518346,1.2985695426388064,1.238326923562697,1.0776802709786837,1.0423263501346878,1.1446566732085757,1.0788552820275263,1.132414421779001,1.1148620382374712,1.331491781870178,1.111851454029061,1.144021520957269,1.2374351497952996,1.1913309657729325,1.120433222415073,1.0161565859554047,1.0080510782143595,0.9731090595048296,1.0802553401784187,1.1336688976332097,1.2481434911748965,1.427911335448143,2.057142174033444,1.8278824784486316,1.5528774723792669,1.418803276672577,1.3346532628510712,1.2944409587982504,0.9905915597293417,0.8094118427859707,0.9662067335927713,0.9250220926231655,1.009759963693892,1.0781550164949387,1.0904779834456537,1.2127288473944597,1.2041629945107601,1.1833396421149038,1.1521286595119729,1.121619335950968,1.051098321310783,1.1014276749184455,1.3609618797039522,1.2418271004458936,1.4965905068781447,2.426402074476057,1.955329005572267,1.5995544107004542,1.496237271107167,1.4479007532880894,1.385452528492935,1.2851869853202953,1.2090941674891595,1.0724983500366945,0.9853864039659933,0.9869376453891597,0.876569550975703,0.8876810293886789,1.2755998758601546,1.1888092173422968,1.0003216151272762,1.025902493116802,1.0389342592045883,1.0804562017960115,1.1119493625798482,1.1465795822896578,1.2849526006310672,1.3585096341489447,1.5436424642227042,1.532012006939812,1.6018710185798062,1.532912860574604,1.8413691582779892,1.635988123871184,1.3217090758723447,1.2174707553224426,1.2260863070094472,1.2463630691813075,1.2238855693508086,1.2358089349662786,1.1822387684183402,1.1883352807497938,1.2173227886256486,1.3031062262609003,1.2771455269694627,1.3596588990406655,1.1621064582482177,1.2408717541270613,1.3044537754945968,1.3149030073925885,1.53570243441209,1.756799807034988,2.099015373084529,2.4912329124515527,2.0435336416809595,2.095807239941042,1.7896993646889912,1.6144282020673089,1.3730649491837685,1.4116725372487304,1.7324025973727692,1.6432110829001552,1.6458229775062714,1.7124733594318156,1.5318301904798735,1.7101104768006286,1.4847211941682605,1.3170071116837112,1.5474608516468211,1.600039154599047,1.3087743194821442,1.334134608414488,1.6108074279060283,1.4594224076909734,1.2170011314797475,1.4264667748030606,1.5244144530529191,1.236283012435667,1.3292879555686776,1.547031374439737,1.557228286425959,1.8784052099073139,2.164983117168265,1.9995109438107859,2.0798483397919845,2.3847032128654315,2.3944684662890046,2.790579798717882,2.1468585996252636,2.1490235052682873,2.15659808367622,2.0727767695486845,2.3276737409486232,2.358434189910805,2.1888797108567535,2.158369034053079,2.488873531860984,2.4103745794691314,2.1938915528594327,2.4378331470339836,2.697005807011307,2.504500835259048,2.1473190352983145,1.9427163979770596,1.8191288830275405,1.8835826290102022,1.8591193653375073,1.725450897459996,1.7619189050163502,1.5765227965140043,1.5880337126072452,1.6565333006312433,1.4809158950290806,1.4236804798916833,1.4554002497883805,1.4036565846270177,1.3144575910345215,1.3047630913755155,1.510434866581217,1.4107342351229382,1.3722446423543708,1.467581745324648,1.609950772744982,1.718022189760505,1.8016727941802835,1.7416204230213324,1.9327660420858241,2.0092973236289065,1.8059440486280651,1.943847130896093,2.141414345216978,2.082848634857421,2.006052673825082,2.317808641807911,2.4648228277409427,2.2217456305464753,2.3057383863590726,2.759618778103022,2.721645791061619,2.534664892001371,2.2498583724704817,2.929564718822422,2.552159479459336,2.382596372004076,1.7066465171799365,1.6036137522010934,1.2645525538640114,1.366042123667636,1.4123382873359451,1.7298767273294116,1.593611592692215,1.8374391384225568,1.2650354063193683,1.370056853697909,1.0843822459108552,1.2264263579802988,1.1374091590523592,1.1238273151317972,1.0333546666143905,0.9930544418417756,0.9781508278281734,0.9661869947908006,0.9203394252925786,0.9203296869721067,0.9599742460698244,0.8175852768147565,1.975267177692648,1.781853450045076,2.356955893943874],[1.7866023568006826,1.3128283620323227,1.3259811489518163,1.3714866405144874,1.680887242256362,1.6069873570333408,1.638024464676617,1.630492369085681,1.8211670358378083,1.8961649642816691,1.9426680153301312,1.813708765481358,1.8962072757030515,2.0947666483329854,2.3123778290514863,2.1539380531760743,2.187287656956412,2.3913919422835086,2.625854791580117,2.4804947477769415,2.6903643339494345,2.6249392370872338,2.951730178112215,3.018422976250916,2.75304298227963,2.6667565890196325,2.3387059673772184,2.2736850691781374,2.2165482102968928,2.0584682003934205,2.3222598199010243,2.026894271537832,2.117847992867948,2.2130768705509833,2.1383365922594786,2.2424412021546143,2.0216678585068615,2.0635534389700982,2.0646328852169074,2.1142268080190187,2.206195866199442,2.3708666244609904,2.423080461955724,2.747344552972442,2.8100659334386053,2.8584767906454527,3.420669784121996,2.909652592381675,2.7584437299928055,3.1087014601568788,3.0716388511266963,3.6862218475957014,3.480743615558634,3.4481199641851483,3.4647300421487293,3.3846058053747834,3.36577965987304,3.128179395290011,3.2300507457765075,3.449618743473099,2.965789749031196,2.633057076396691,2.6627736809275504,2.636685358827393,2.5527134746899813,2.673961994541878,2.71753312571825,2.575156129797962,2.746697037631897,2.6446587466770026,2.7692992999822326,2.9979206533889666,2.765970829733698,2.883891815753894,2.5890576486724335,2.832492469364229,2.559047959575025,2.4599200811707163,2.3676836533398635,2.356262550319938,2.0920507737888894,2.129244277839914,1.8420089658402672,2.0176575251150095,1.897270124649588,1.9533787950996278,2.1369808504311085,2.068557116512522,2.269822762902953,2.308127528832953,2.4299401811824035,2.6748532976299213,2.5885387073523716,2.3545845565704706,2.2812386274105845,2.348302832975869,2.302247256888696,2.0952355753123504,1.9324111979560712,1.8102603836540072,1.8381532311642665,1.6189447652724243,1.6819705293318479,1.5333339433705597,1.5935602869397087,1.4769083775169585,1.3710212212398363,1.4125294814877116,1.4349394816605192,1.4278325560870704,1.461033768291971,1.5049206718811463,1.6196347624425316,1.7142636372138822,1.9491871780373429,2.0549272549065423,2.2319875852235316,2.596582277939526,2.646220607069894,2.453536087006719,2.403934688607573,2.325223951244051,2.2681842447831415,1.9712324959798,1.8077473191466302,1.6734550869085003,1.5293116966070939,1.510664779888602,1.4307468122355134,1.3875393398494669,1.388945411869468,1.3423419994122125,1.3637482602753312,1.349657962616029,1.3456903413982475,1.4292464343437288,1.4167562954577557,1.885846364601226,2.052170631140225,2.035354048624234,2.8472804464837522,2.217443578199922,2.0807680206374135,2.0880454830604465,2.0440144759665566,1.9935457820140017,1.944505574374774,1.8875392302282379,1.6711433670961104,1.6764378844041778,1.569606909206147,1.6201002494161258,1.5006061415817522,1.8350156647221816,1.898955382976387,1.7060064447110275,1.7702432456254298,1.598847482457382,1.7431879950841764,1.6181068490696735,1.6064546707652119,1.7903592273827278,1.8044768081876017,1.8900522485971973,1.7832390312990714,1.8400636419943626,1.6548024101066559,1.8859301726352888,1.6615924050157325,1.4853485247897984,1.402540051469833,1.5492224757387993,1.547352394230944,1.572678191052808,1.6353522194373746,1.578498659735524,1.7025268561295825,1.6396722381753137,1.6925575856552941,1.6191568452682819,1.6459291436702894,1.459828099363876,1.4695848536050988,1.5095610155580113,1.5085837124011674,1.7734678982135896,2.0099157956613576,2.2942086993482764,2.628736518620686,2.261731446415013,2.374390953322034,2.048190100199468,1.8166256417171187,1.5721439602189815,1.549537495617444,1.7884561754978647,1.736237505106703,1.6994813088972445,1.756663136267547,1.6414595242052423,1.7694016302798834,1.6325318847310644,1.531479208659962,1.6886718701515275,1.729289744579435,1.5654231556237101,1.6059958815282207,1.785128823088454,1.680087372990421,1.5812864663914767,1.7242876970656462,1.780916720499316,1.6229686840769761,1.7298756297101177,1.8410025071412255,1.7994757450671353,2.0769798044497487,2.2959837158093954,2.112714941504079,2.1841575553008665,2.4209363109524187,2.5720708476364753,2.7685820639774583,2.250410081647635,2.1933945541627327,2.199506157802848,2.0835505944613932,2.314507270144102,2.401365358106504,2.160692578104197,2.157979489532282,2.49579556714148,2.363592192789098,2.1748928580201174,2.444478124485536,2.7037456901443666,2.456413069814869,2.130906569378788,1.9497827748891057,1.8480399425096388,1.9106290788496427,1.8915415335802526,1.8113839267928935,1.8399354402241985,1.6854756072059611,1.6896888829819996,1.7739608295978988,1.65231217386848,1.622533824072597,1.6406523622385891,1.624142696923252,1.6053537130776876,1.5960367670051487,1.7114659494461733,1.6830155601854608,1.7242174961687924,1.7414989448730653,1.8239160691445817,1.892255436783912,1.9099425341318326,1.845914857412233,2.000250435783572,2.0637376230069524,1.906361754269457,1.9881926334692128,2.1728652773260837,2.1332806805267737,2.0371079931611975,2.3101040734743177,2.4333276354566804,2.229899503593798,2.282158024163611,2.7558888977987634,2.761388935541393,2.576073085021913,2.3120036341386943,2.978859813231624,2.633532438684481,2.5345761920912646,1.934967054574411,1.8255047654623962,1.6431821106301194,1.741954463808321,1.7192455307270977,1.9018277766324374,1.7370998168776,1.9368252665777785,1.4917070137381965,1.554341322691352,1.4349460008151893,1.4872846987692934,1.5058312581224145,1.4780616328455247,1.511221996386821,1.509718348034775,1.4300264442389323,1.538407538965854,1.4658949084608692,1.5386742174762922,1.5809323692396442,1.4751163419150342,2.32919046969261,2.160277316069569,2.699272735064881],[1.7410483540431996,1.1502275980976968,1.2095754757041592,0.9031686371633885,1.3141257353787343,1.049513595636178,0.9543434964394847,0.9628409086542227,0.952632853598383,0.9218560728787482,0.9308156933179443,0.9268664953394289,1.0343448085222062,1.0434489274836847,1.3612982780187834,1.2448935671807115,1.318895122114076,1.516744215050752,1.7469387213128778,1.7653210677739246,2.0041767300106756,2.076934519574222,2.4292960935090533,2.460674511510101,2.2682929807400667,1.990502495887609,1.8114272821445092,1.5363907475314742,1.48844000447028,1.2976606124997168,1.4581160441423127,1.2323559563918394,1.3053064473471168,1.4266350371916188,1.4288279596335032,1.5116500913318398,1.3952865592730412,1.5501184381789266,1.5782703039075756,1.8676241099650832,1.9433575893065618,1.9148856632034967,2.0838579877730625,2.5725065189347207,2.7709646018902694,2.88086673019071,3.5545709906226657,2.8216844584328604,2.595421173707522,3.068223623325056,2.987167814013433,3.638380297437003,3.4615193044948964,3.387698022518039,3.4176582274070477,3.336051829568301,3.315912593655972,2.9845630754037007,3.0963405611792703,3.3492825243043973,2.799694117295759,2.250974540431389,2.135512593367179,2.0723019704349643,2.135446231598592,2.135955100268759,1.949385084445075,1.7517823262779566,1.8476574294786328,1.678942131360699,1.6991325913446094,1.8969708004690684,1.7296149773961882,1.953359683534815,1.6621160587304702,2.043010579862242,1.8769094519684004,1.7908065118851206,1.7746626411858208,1.8990353442376982,1.6265522033613813,1.7631375747123323,1.4599962353006963,1.7327541812513574,1.6288633813421873,1.526944815184129,1.6338665431301134,1.5251804416228871,1.6367348308010448,1.5977246627339927,1.6362814077748526,1.8574778057611105,1.7769352745764773,1.4983758149104254,1.3537218649441372,1.3320449907646144,1.3001998257584724,1.2303483416322574,1.0962201874469553,1.0600618024094939,1.1413709268907886,1.112898493432694,1.138243793197007,1.1307565424704922,1.3580651820233742,1.1540937536869196,1.1917346515390272,1.2739657781125842,1.2353580482158013,1.17114079487468,1.1084183496881765,1.048207363659199,1.022777807299613,1.0849959024585867,1.1249491981295197,1.2162184155532125,1.3747029960932862,1.9041258857573058,1.792068714726684,1.5130486838808652,1.3859743348836304,1.3040154414842928,1.2578163986174644,1.0146142345486953,0.8972418854714184,1.0069028623068594,1.0494365440021272,1.0783074249492917,1.127476487388977,1.117833693091351,1.2233779677103784,1.2337217468169084,1.2415246515370166,1.2046819662386505,1.1692448737546446,1.0849688716079033,1.1324888011575394,1.3619714095059587,1.2650209863782411,1.5045801269009926,2.3492963511806533,2.0163692039962773,1.599484452819989,1.4636829168890912,1.4630731866212303,1.3658602172982084,1.259490220677253,1.1967136479596021,1.0830331817617227,1.0148410745698964,1.0360999267949969,0.9705195173964025,0.9817289153838772,1.3635538160827296,1.2365032515013974,1.0493978748494548,1.0553378051572644,1.0686668358536164,1.0834983602757793,1.1306302412942935,1.1638856050530564,1.2931814623905056,1.3643960612574488,1.5873929040550225,1.6291635346388535,1.6444289283297082,1.7058647849594333,2.092045057486114,1.8232435426736315,1.422744736437047,1.3086741910717534,1.2644159759792344,1.3163823510102206,1.2820717673130206,1.2821575813624888,1.2233303430661016,1.2083742345076316,1.2503337859766583,1.3525481229987448,1.3699172371926263,1.4510286854949062,1.2215019479961828,1.3683982875478904,1.4808268603283519,1.4811663412794622,1.7471024920916067,1.899878900520267,2.337890098244586,2.6706869212612356,2.2498639743519124,2.374895638871292,1.9734224216504286,1.8802853590937487,1.5655865042705508,1.5270421099100324,1.7366090726480483,1.614025613850862,1.617765234785411,1.6944805850057834,1.5372713692956943,1.726570714499948,1.5454760043925073,1.4091380361358068,1.6380143466210835,1.7014914611503518,1.4704246444674944,1.5218700523718867,1.7744433072323083,1.6501991294724565,1.482378465213074,1.6971567974519532,1.788770471652998,1.55023893857002,1.7003879270974311,1.8653868246319587,1.8325622998355904,2.1203136483064613,2.3395656152283077,2.1585844773215683,2.2507293434253994,2.498434824735951,2.493428175575167,2.8729213726684564,2.233653595709293,2.2088802063279385,2.189954683834194,2.0845566303560332,2.3075299035150327,2.3760083064746182,2.1867643867871998,2.129179498713902,2.4429808848789714,2.3639322786202146,2.1478653782180452,2.355392993015514,2.634624075496696,2.4406766464275633,2.067107580162742,1.9221293860702677,1.7841484753992105,1.8669011058746572,1.8684092209158627,1.740067715180512,1.7762340683335196,1.6257440417865818,1.630098095014251,1.7173152027875487,1.5583320254745672,1.511260699360967,1.5747364269550461,1.5552486071531644,1.5054209868725894,1.5133323782460617,1.7015432742442727,1.6381020239583595,1.6032802178853558,1.7208486862443264,1.8425445552749087,1.905014202091931,1.9353375186876192,1.8361661960288354,2.012706217677584,2.1289567531117104,1.9309339689407454,2.004942510199332,2.2101681844397105,2.181103382940784,2.056570353152033,2.3309773432355687,2.5230582385137454,2.280756279820553,2.3069020787258294,2.757995534449582,2.7461771326292936,2.5621968024735806,2.330399077468839,2.957069786632273,2.6056542133207357,2.53685830353659,1.9478217914509883,1.8200443303968699,1.5548141686215124,1.6480960199560308,1.6549730394136795,1.8968400991001173,1.6952275477260248,1.8904086140973626,1.4097254672617248,1.4302907191689191,1.1874367898069413,1.3654099731719318,1.297658624321253,1.306964951735385,1.2187351524230605,1.1982730647250779,1.217940471505793,1.2122376213227863,1.0280696893369334,1.1532016175338327,1.1929378970644153,1.0321966093021238,1.8714932550293224,1.6664788850753733,2.2855348846295436],[1.7534906102519694,1.390204109507063,1.6317068048988113,1.3432451298838421,1.6122173540931597,1.3831222031140369,1.529557015731856,1.541756232614763,1.5418878631142758,1.674110447237724,1.7092478032356644,1.732050985083,1.8130714145252795,1.8230028267492948,2.0473524374859986,1.9671712336875844,2.0623026919926204,2.2079263336196147,2.372690157829833,2.354479760909798,2.5205311659551706,2.540762244932556,2.7640904531921944,2.7508743624488936,2.6566790080306744,2.5036484058356443,2.458438741297009,2.225440570309836,2.2046416969055924,2.024615813158521,2.163335849793422,1.9561334515842594,2.021307109963717,2.1461260328946437,2.1157551837738295,2.1641647715172927,2.1095009734937773,2.278870985278957,2.2225525591699267,2.3652861637758615,2.4674475028037732,2.464577714963652,2.55488553471175,2.960219315480345,3.1757346884026862,3.3042650275618852,3.870727789754413,3.184369607237948,2.9737458668361354,3.34765444481148,3.25887402389044,3.8959554614594762,3.7184596966891337,3.539183061412831,3.5800645476694495,3.5797266045317957,3.601263350177914,3.2617363897567766,3.3902254200703545,3.666268006523442,3.2215340365541305,2.7466076852842085,2.5756873415459656,2.621994900009323,2.701429103938875,2.587763927390394,2.4778752871219667,2.3786288948251637,2.441680308345475,2.369292720225479,2.3125957979917295,2.3993067037476643,2.354388843407977,2.512280371480163,2.3015689474250816,2.613963713170397,2.47269880327086,2.4258678822253934,2.372589482863099,2.429478363183592,2.249813480334066,2.2734271881046717,2.06632722233946,2.225403607285125,2.175544560537851,2.1379923199524664,2.2390404551685923,2.173773593724494,2.256313073753389,2.2140422265900934,2.28378248194335,2.4817841206778692,2.4365023524880525,2.1996662909216824,2.0727153265519602,2.047964766119623,2.037849123075475,1.9744658975154943,1.8244844484784426,1.7349480455380406,1.8047406264897052,1.7090855814560053,1.7632142971189904,1.754671808528237,2.016724146778413,1.6683877923706132,1.5409849006319305,1.5564640412600292,1.4194981374017863,1.5257434520676445,1.4362134128949733,1.629789120646297,1.6584442911420982,1.7662374532402756,1.8711206270146046,1.959889801981679,2.100058489035023,2.5219306233148537,2.465113919503965,2.211436676541058,2.134103947751142,2.0232779115888637,2.014445616478588,1.8318858577588653,1.656873450576771,1.731242976120215,1.4817007269279951,1.586157237969901,1.5174233921547453,1.5311204649034982,1.4426283418932475,1.4678212329277176,1.5800526733258746,1.5972779936745143,1.6128842931860832,1.6201796034748714,1.4747694026206908,1.812377858355447,1.7724102356816052,2.1040617035921385,2.79502741469614,2.9031233637330214,2.4634414929568265,2.1851641911446404,2.131322994751991,2.105384141643468,1.9949520445988822,1.8860355210488162,1.7726763028969927,1.7014268669653083,1.601266670247889,1.5721889822280437,1.5514400478273933,1.8204054371836365,1.8747320734184416,1.6668267824888887,1.6938089580867284,1.6897250350832034,1.7623757603785237,1.7067731523794043,1.82541488198775,2.0092413788539463,2.0688964402079066,2.214410284855592,2.1505842118745893,2.1414507826565936,2.1477394256783557,2.400444481093842,2.191395572444126,1.9535563004581615,1.8344773818331515,1.8904978438469373,1.923148752277749,1.897345587719936,1.9372660542915017,1.8849838917952184,1.8991929545550057,1.8810522839156965,1.9424256690500932,1.9435798656463419,1.9745043876981432,1.7841530434210682,1.8297496937579472,1.8726783663772164,1.9321663542224392,2.212117241636927,2.3620915844768047,2.7110835528961905,2.9777523144971836,2.5783582218391925,2.6474156222809317,2.3426239551002794,2.1311360436277416,1.858208500075338,1.696825520769032,1.784633794537675,1.5677980261254847,1.5028467655611264,1.4766093440470638,1.4084188016977317,1.4346128314751432,1.3324499474912987,1.2901468766601276,1.330655769769714,1.332727368335669,1.2190425852761337,1.2386544232238383,1.3327540892476715,1.241748445567376,1.213705614645608,1.265440059295069,1.296098018886979,1.2461208995237985,1.3317320420370145,1.4190326996309457,1.452736304357949,1.6015491929957208,1.7682110946536658,1.6057435581266417,1.6738988300548583,1.925344236029209,2.0644870578796297,2.2343949417209434,1.802390183140601,1.6994431295063184,1.7052437848317652,1.635046501194389,1.8540894640460082,1.9048823653162157,1.6866998413532093,1.7577334129390867,2.063208121877983,1.9246414265344394,1.7734516209962243,2.013245400048109,2.300257836295652,2.0263900854247097,1.7705096642323013,1.5996546162377347,1.5484134926450146,1.573430217746791,1.5452799666925026,1.531314922710709,1.4976420266903308,1.4771028237194452,1.4304798797193279,1.4812173313201629,1.372695451624513,1.360310229527233,1.286852603846182,1.2660073918365167,1.2570071122017963,1.2280912085804268,1.27616353223095,1.2711731564120026,1.413185074964001,1.27751118187242,1.336316133592418,1.405725445515565,1.4077662036422243,1.3721747080207791,1.5111223520354955,1.5541864827266039,1.434150229971086,1.5123551311543335,1.6631362733890867,1.6253080770028339,1.5644411552628894,1.7997664584470114,1.9739691573070544,1.744482345614766,1.814438847675656,2.2745344790745663,2.273012159055664,2.0640741079306797,1.8375506499112002,2.4223051521006393,2.0849207866826,2.002305249537534,1.511826154776281,1.3896736514595778,1.3365959008311796,1.4938976450580739,1.3829893791420649,1.4958797457460284,1.4580803111641036,1.5800992755236702,1.3908407069332298,1.3208674559083513,1.4237766617870888,1.5690199697628238,1.2719060277037386,1.2553536845313453,1.2729433511061823,1.334432382515841,1.3293856956022931,1.3335290318489863,1.5795940690162646,1.4357823348724423,1.4733556492737638,1.4359616354977591,2.2558776690772184,2.105926618448615,2.4480991892461086],[1.7730280441892903,1.230053351683269,1.157232417007268,0.9768496261327366,1.3972028228627986,1.017767823100531,1.1321165476258295,1.1306271889695974,1.1142145827992316,1.2222722475172487,1.2427402807091739,1.2238705470848679,1.3521495832818227,1.410633503979016,1.7063434076992503,1.5501549764653662,1.634056682586897,1.7954432758126233,1.9733764639219797,1.933418649377493,2.120680140212892,2.105198079419471,2.442130676863249,2.4098065114138625,2.309873279783471,2.127495332906011,1.991205524965107,1.7862476575270183,1.7575560549660887,1.57741702116699,1.7562792885835168,1.5068415908740558,1.5937361282507345,1.6928218466407945,1.6570607705062632,1.726561587586601,1.6197379225311914,1.7288367813317427,1.7157712635643572,1.8669422067351742,1.9640012889452716,1.996574930792015,2.0847631961993733,2.5064989850618513,2.734299877396041,2.8245731941160646,3.4147454240017208,2.6716205392417445,2.4349455906021453,2.8393101009678077,2.722396050738136,3.408824013887388,3.234551723967552,3.107278030821109,3.186928178767788,3.135278736231555,3.183723479608437,2.86563475630285,3.0064222032636323,3.2051442683551583,2.7874536895678514,2.305771204406302,2.1695346982685617,2.116541400950773,2.2529879427015986,2.1847542857898206,2.07778953412315,1.9715913750627532,2.0861351852806114,2.0039674015117037,1.987380093941648,2.114338119815443,2.012550079786348,2.1614572921384974,1.915919001221996,2.244910551914566,2.0288126889393228,1.9751652457983322,1.9071161492821036,1.9600211238006875,1.7380396869234969,1.8018538567980702,1.5316245926244036,1.751722178012059,1.7008485023212283,1.6447225396225806,1.7500221352710628,1.6879671256903044,1.7985655439928978,1.7696712022748546,1.853391649099706,2.101069925262769,2.0603519316240755,1.795786239865955,1.6745163219327166,1.6642148533894863,1.6710482633453712,1.5561538482299466,1.3794335063794136,1.3043693235039782,1.3717007439326097,1.2341069782824097,1.2716705837037148,1.2926833778221787,1.4516187087241674,1.2507376542280078,1.0930262360092162,1.0990789943429131,1.032924381237321,1.1756912354610143,1.0694943493389548,1.1713984529468693,1.2116960584991083,1.3034609863755988,1.4246715992606205,1.544770420563291,1.6914567264056213,2.243865610229674,2.1157284312799565,1.8199507884166144,1.747885186595614,1.6709132754833693,1.676407690456962,1.379538169429514,1.1897669088379512,1.231671642892873,1.1041867928788403,1.1657335970873188,1.1354671139707941,1.0376988593581995,1.04088263910602,1.072049856865938,1.1298628460519262,1.1007894541263037,1.1181955844324791,1.075460607434654,1.0757637487416227,1.2000332835972947,1.1576945131806373,1.6778890039501315,2.3913913305046255,2.2800835385630474,1.8609845139495182,1.6736252859101604,1.6003968616167177,1.5866818866376395,1.5005938261210805,1.4347100427041437,1.2948056183767191,1.2663152027052316,1.1727755661810366,1.1704972699869736,1.1286836350712346,1.5338767254127823,1.5518405564641342,1.2275699842499996,1.2469277805070718,1.233112203623595,1.2846887408756638,1.2517599393884624,1.3195663816749024,1.478405854447852,1.5661125386276564,1.7305076160663186,1.6690718226704055,1.739402929198781,1.6729072111785441,1.9506881279903103,1.7937809912095704,1.530457988277316,1.3906290969405164,1.4192534576422486,1.421942282671018,1.3825026862681054,1.4068897077685598,1.3398618638378106,1.3713097848337157,1.3547065265180935,1.4353958858583846,1.4174063413598736,1.49108903531675,1.2739372078325397,1.3308030378411897,1.3792944098030642,1.4116804905192342,1.6638552721245097,1.86544943796449,2.1864264266068836,2.5979132228652535,2.07155317704087,2.123479153505272,1.8268223197478475,1.6742124827496045,1.3960327831668025,1.339267412925946,1.516660342747874,1.2740356674985307,1.310289594453624,1.363559514521722,1.2108100885197477,1.3492449039356609,1.1813012317926515,1.101917840952172,1.2606908977704734,1.2874632727692177,1.0988886538108051,1.1693261581367744,1.3299674787463733,1.213943045529201,1.129941716530255,1.2496714726952398,1.3087960809514931,1.1757686879323268,1.283969781497,1.4822467664762187,1.5520164689619769,1.6022323725469019,1.8101436786730438,1.649261846043119,1.7233401011740037,1.9963979268295375,2.000987387987035,2.343556054027383,1.7827649202062852,1.7516300871074122,1.7340097538492454,1.6457921624342116,1.8815631489892555,1.9283291482225076,1.756905481316127,1.7467567943184577,2.092770945060445,2.0044869084951733,1.7728278401866853,2.017791481843839,2.356479460047648,2.087706851661963,1.788006292054122,1.561807199560977,1.4520649933833707,1.4930789143211771,1.4815339220521393,1.3949884770111338,1.3950211446939387,1.261276467066877,1.2849840019752914,1.3690161597338426,1.2195904449552584,1.210990202111336,1.1743835688240118,1.1520547900709912,1.1383364816119272,1.1280016318510675,1.2515337915030256,1.2091047996409736,1.2871737985567342,1.2789909478901949,1.3655872700711154,1.4151687979393157,1.4375027025574758,1.3640810673328474,1.538057610259901,1.6231367565051948,1.4541213823239691,1.5473632438305034,1.7312257881621818,1.689755431138251,1.6104119207958363,1.8908929580551572,2.0875266271391526,1.823236327164542,1.903949638475498,2.3328433213643907,2.3495155284242406,2.1288856514578134,1.8942798019644769,2.424080932310804,2.077259316995468,2.0243964576520788,1.555167283005946,1.4048066865341915,1.3290625341339235,1.5132898791532658,1.3370469188950933,1.5103687310546887,1.3514128457258807,1.467768513335221,1.2525873536107308,1.1302525855211838,1.1834490920866758,1.4540785852807292,1.0112725422413555,1.049300878539154,1.0092094886597316,1.0537642641870992,1.1690962928103559,1.105416364843638,1.3015569372240436,1.1575264112131018,1.327243853510231,1.033338438575139,2.0753606916223184,1.809443676157929,2.1963675115221486],[1.3176236439086766,0.822520684945128,0.988272148372511,0.5775550206106064,0.949455728436678,0.6277221470643892,0.6375042151680081,0.641129179096019,0.6833463964992517,0.7612279431442835,0.7980039459330323,0.7568616511615506,0.8577990640752268,0.9436032666759623,1.249818335254497,1.0884044447681154,1.1644107179089636,1.3361199767482472,1.5507417135336472,1.4921268600394402,1.7046239755311916,1.7143892175466418,2.0682468945106924,2.060592691119419,1.8936243332815876,1.7069459490382488,1.529575411574068,1.3301250673745164,1.2864254822520083,1.100948015965272,1.305522279311465,1.0337774986851924,1.1278565265443283,1.2215412219107746,1.1797540058888083,1.259030143220498,1.1367765058780737,1.2765772624430904,1.271812479652387,1.4410071531907491,1.5704134680218376,1.569200201967652,1.668092985321697,2.110001724152305,2.3966479778312584,2.556009748002419,3.148708883701431,2.3259642453023273,2.1579616918316558,2.567082700830731,2.398321665205876,3.110564696637731,2.89835920332518,2.6667610232957832,2.7347350769599164,2.7278453039369177,2.8264337039914933,2.4243510397996575,2.5616956259830213,2.837252613545813,2.4087916675189156,1.949250514341223,1.719688871050679,1.7690703624496764,1.9070461912235688,1.7470958057675885,1.6772480651086092,1.5513332267419264,1.6863887031972493,1.6182179100604694,1.6441646333730733,1.847668836706767,1.6724475505110326,1.8223703403165958,1.5064842213114245,1.8678058561346467,1.6006907098394714,1.5267625483955793,1.4586471614719336,1.507974477892494,1.2799366307862086,1.3511967830246385,1.1466721819131545,1.3193707627640436,1.2629427194682457,1.181903061510144,1.3111074158376461,1.240215293470259,1.3360653736555332,1.3063217992119809,1.3929495101084148,1.7047802605295472,1.6512717699065476,1.3621963194504185,1.2274094379846907,1.2489480918994664,1.2404797361859674,1.0761344642503157,0.8952152012000044,0.8522732564426961,0.8863480503820739,0.7874251714093604,0.8204160663245397,0.8399037127937259,1.0449125012125546,0.8218892403441584,0.8278862551305729,0.9564004733130671,0.8980341947310787,0.8606263090836357,0.730675626145783,0.7267973611730185,0.7259254886553914,0.8114264275518186,0.9237934100719403,1.053538638807672,1.2074632821487796,1.698634329300881,1.6894046185643599,1.3666221210675833,1.3064315243418239,1.184208240845754,1.186549017958344,0.9001817366207724,0.7060100407784927,0.777520842042744,0.695700738362648,0.7620473759769032,0.79499041692021,0.800565215989342,0.9175445631420742,0.911430950705802,0.9149981485815721,0.8510955297083439,0.8562893304683525,0.7994645900378236,0.8561356944968358,1.089289790857915,0.8115800906598885,1.2072263975550368,1.7585659874355974,2.2208825943083657,1.541186205376541,1.2000634707475948,1.1728703518668657,1.1203267184832222,1.017432815739498,0.9544932408755853,0.8194998209140076,0.7604823848593502,0.7126456836307299,0.7011298146835557,0.7017882509210062,1.292183569356733,1.1958775345993016,0.738204305409984,0.7602308508455701,0.7462856539274051,0.8044586648294163,0.8093135605669786,0.8672062550156644,1.0139282619002254,1.1084260230272438,1.2702500650438302,1.2508238183060618,1.3309478234863417,1.3258659072272472,1.6597362682257826,1.5612882139326352,1.1970587751003203,1.05471772133394,0.9893364826785875,1.0105887162907061,0.9664006368765954,0.9650020045468096,0.9074611388014552,0.906908613589432,0.9175095934897687,0.994049635151822,0.9795057342364163,1.0888182423373853,0.8755157155479366,0.9934343303017791,1.075829775740252,1.082562460589083,1.3232544438848313,1.4777751215449046,1.8718417692458804,2.3435122753398168,1.9207595232036305,1.9455886638542585,1.6817722876640966,1.4735151686386383,1.2056710928975607,1.2159397875584488,1.4547276096991746,1.2674328419928953,1.2708889279445328,1.3114954328134758,1.1644984124008648,1.2868979393117916,1.082013198515038,0.9800852835935912,1.1856122642866656,1.2130987722388116,0.9867294699339016,1.0768205539475204,1.2821070167610626,1.130034318297856,0.9991489008239812,1.179323548874154,1.249253632942732,1.054855566284412,1.2135943519755015,1.4240283091741417,1.462604934689274,1.5936011287726923,1.78355627626063,1.6193572826979372,1.6997133041718444,1.9550193967524283,1.9721040456832417,2.2552728121251606,1.715762662267084,1.691178847384318,1.6626477515612128,1.5839968726893272,1.8142372000234963,1.8744860161949612,1.6968871573170166,1.684960095888915,2.0206967701742986,1.9502945879200788,1.7128356639815365,1.9312936069319933,2.285424092833773,2.0302417882995236,1.7344651844710661,1.507854586263947,1.389573073046576,1.4216626922843547,1.4041129895818345,1.2928688102662862,1.3004741159782234,1.1470022712359387,1.1713820431529631,1.250263406793326,1.083132295023492,1.069286459697292,1.0697773302033993,1.0434529953135494,1.0186387835335822,1.0076383835677925,1.1621176442963643,1.1164694419954053,1.1800296466647038,1.1958050621458793,1.306053578713747,1.3627837932001028,1.380831026527524,1.297583314297663,1.4669271925298903,1.578966879111239,1.4004774402786508,1.4863707121127399,1.6834505665099053,1.6470164552572764,1.5634701368664607,1.8319412093534226,2.0371553320314124,1.779674167288027,1.8591643861839853,2.263616036688473,2.2872457543249243,2.0794956482288836,1.8700930890822205,2.355593599750499,2.0562863499785595,2.0016813734317944,1.5205426683056462,1.3499812393353698,1.1761242498557982,1.3317648553356234,1.2606574300354247,1.5188653904233387,1.3860282106569546,1.4724448872145683,1.0228930007384205,1.051456309555279,0.9006960252211494,1.065386476547681,0.8296759704075675,0.8288158094004177,0.7418684970875313,0.7671342718735336,0.8253926710917473,0.7887185775297603,0.8024865280750613,0.7670018592205017,0.954634988316905,0.6896836676737901,1.4796792663644758,1.318191063212306,1.7769536147271716],[1.1036398667488754,0.7474865855906248,1.0544425986901282,0.5804799238260322,0.8138199613893193,0.6681962426191409,0.6249186632484005,0.64038707597216,0.6903171918431574,0.7216945037490498,0.7648191869517695,0.7340789142215179,0.7622453739721993,0.8567150655174366,1.118503866774406,0.974668757871179,1.0207562097735832,1.1547144093327475,1.350756418886247,1.285158617772947,1.4765471981567875,1.4970726752054784,1.8108753141267642,1.8404100282763596,1.6441359003030165,1.4888881037670925,1.297035656369465,1.1454026790188716,1.1024177580451717,0.9449952439814432,1.1598674831127058,0.9142052240484441,1.0194961552291926,1.0794088309433865,1.0179162975905687,1.085448992566966,0.9675744820343498,1.097419672074329,1.0766693160483316,1.1954391780174125,1.35001840526659,1.334988562257514,1.40243839810056,1.7482484275345516,2.035050356138174,2.16867964849093,2.718280219308382,1.9040490926911702,1.836132744966296,2.1373070369879392,1.9697109940842492,2.7055837919141905,2.533299729485311,2.2462354898615615,2.3422808212512307,2.3224767490755434,2.469791440054939,2.0838686644540223,2.2349413991316633,2.4747799470435994,2.0889230563213514,1.7028673267326484,1.4937657910980233,1.5566014615841315,1.6688990915998725,1.5064322832198387,1.4573815247960227,1.3466865295966224,1.4882711585270993,1.4423149656790744,1.4911706179605106,1.6930706519622083,1.5119908650131362,1.6428306036953952,1.3260066663346615,1.6750379117728265,1.3723374836090256,1.3018280469716546,1.245658872222091,1.267038007724246,1.087113318577231,1.1403220194740096,1.0775881127953832,1.0883402853122774,1.0272677927690035,0.9862589316829923,1.1247373181055134,1.0704437396991298,1.1392427344139613,1.1400116534306708,1.209914328530109,1.5294336106360933,1.4932466454321538,1.2246443379899554,1.1111143857364647,1.1744738787691327,1.144953374018573,0.9711331867364698,0.8234690299803753,0.8408306925538042,0.7948138783760097,0.7321055442475156,0.7374893175181428,0.7350564503756531,0.9293035867936598,0.7536167544893095,0.8677559222486694,1.058197948504979,1.01496076150401,0.8513793887127381,0.7547619005715727,0.6916129440343233,0.6723690802442981,0.7328042083731925,0.8142253114762471,0.9118304041719727,1.0304740286227687,1.4716822093675952,1.5050358026446593,1.1890692263183984,1.1561542286490307,1.0358101140215477,1.0394657018205737,0.8228235095411703,0.6715863236656204,0.7725921888792999,0.6905232272278701,0.7453147322789508,0.7807735412260289,0.9061865454939252,1.046874567449466,0.9980287749904185,0.9677958772575187,0.9039202816930483,0.8984201421350868,0.8898335756161181,0.8896289821752951,1.2447778361500008,0.8276928607731843,1.0678779149588933,1.404644154718555,2.3737672327979213,1.4550752612278117,1.0512294958575203,1.0471922743456807,0.9646178824010162,0.8782921721210963,0.8319664934207791,0.7295964435456642,0.679390417290712,0.6885999059959097,0.6762212052116473,0.6966406393223347,1.3483060901245008,1.2060640580860904,0.7113078690439056,0.7203649193864199,0.6892241200950238,0.7091435177485665,0.7185590330790711,0.7857440659657191,0.873154057751205,0.9479879034160091,1.0376263586001382,1.0278055308699217,1.1049259664706488,1.1258066727612743,1.4660928839212928,1.4820462915383732,1.0829416869760788,0.9441750247306737,0.8506850304348755,0.8702202709390567,0.8389481490430712,0.8232777649125795,0.7986248266524184,0.7839827430625463,0.8041631266035905,0.8452811747426991,0.8312918630544249,0.9152314451059742,0.7895809961632502,0.8952181176527129,0.9704468277722921,0.9689919744042589,1.140769754885216,1.25288326550036,1.6213466533955956,2.170828495805246,1.8352310509752576,1.7954834478663964,1.6201221030260085,1.3548924698766593,1.1651135635702194,1.2431201004257213,1.5229892276229875,1.4072947870424246,1.3543385918330566,1.3572266734328788,1.2625969332401838,1.3050989986968482,1.102291438732057,1.0235374103245907,1.1884395526082328,1.1916967176973676,0.9886201126886077,1.0740514612133465,1.2431742297399742,1.0854235117214248,0.9769919483503718,1.1420729911543372,1.1891508537006201,1.0220811658053,1.198946708275167,1.358734634956416,1.385265236435574,1.527250703305594,1.6834057780327965,1.539393735306197,1.5921880543991804,1.8271438302446794,1.886087934371414,2.0684660609896315,1.6102674184979389,1.5951470159376075,1.5725030128295134,1.547624329774833,1.7244346757486952,1.774694605974323,1.6403185940933034,1.6356917351154432,1.9217414666595511,1.8766989010491668,1.6733845843514583,1.8833500297026524,2.212423801258664,1.9758240593454885,1.751967706768182,1.505010938705554,1.4103270899927833,1.4132683723523616,1.3815902268661153,1.2653191179039789,1.2658762596310762,1.16430373308535,1.162370125885161,1.177300299241478,1.0571614222290011,1.0624960610428118,1.0596122756002242,1.0089238233167246,0.9897796111414409,0.9705929703135849,1.0963002973269247,1.0535333884352516,1.1136089333630605,1.1237851579192735,1.2215542972259519,1.2708880960619509,1.2887954782210385,1.2441687529889522,1.3608588217708018,1.4680228372783672,1.3247198211953872,1.4080823138709828,1.5746263021880622,1.5478113414137882,1.4952186667666592,1.73069061387738,1.9159006095133062,1.6982605828362805,1.7973183985909893,2.1221668636871787,2.183810864542593,1.9891593764637774,1.82679881457854,2.295207375079304,2.04898284413149,1.9293181630658411,1.487222842273907,1.3135363597850556,1.1180783782614738,1.2506761916724505,1.3069464832340945,1.5938885755619359,1.5980687399410536,1.5967868323948726,0.9970359988427828,1.1357007165931825,0.8546702620075798,0.9046094560930447,0.8995998999149784,0.8468053576476974,0.8033502374448791,0.7915262100102118,0.7734427801722075,0.7936025310354261,0.6967539042423637,0.7325016620692969,0.9076710897425584,0.70801701060761,1.270691069083514,1.20281757368087,1.6650276536165107],[1.2382773377223744,0.7874723843479885,1.0759172559061823,0.6400518160042087,0.9192750581950108,0.8135953844040429,0.7151229842977684,0.7256068460564614,0.7583402789484143,0.7573552546158611,0.8065462513074306,0.7826542878325604,0.7786011953177813,0.8657116419226698,1.0799176923364613,0.9346157948900682,0.9846535735416236,1.1064497076110775,1.3029233538122353,1.246476553965926,1.443063770676906,1.4900394163675528,1.8030038070440204,1.8519600022502318,1.648722215408657,1.4665108410965195,1.2797106567287475,1.1103267894190774,1.0569167972494935,0.9178669575421288,1.0969344566727404,0.8808034217470735,0.9664485126328906,1.0166588696560468,0.9654069433145701,1.0371050983380357,0.9345363853518577,1.0419168212383108,1.0626275546378852,1.205823813712554,1.3597952141674132,1.3262017617060415,1.4087672424571795,1.7704784667865607,2.076549560210592,2.205944880369305,2.7707539777920225,1.9395319714656478,1.8314192968898442,2.173206377405876,2.006234638618237,2.7534213397159815,2.564957541572079,2.3323722322038996,2.423629864758059,2.3704813340846567,2.480024580902713,2.0928352718668495,2.250824128389642,2.4652900476013295,2.0535109368049618,1.6453163785530485,1.4735314634939707,1.5215070337114875,1.6090972468663272,1.4833862258754942,1.412734824383128,1.2868124789118944,1.4195741199781209,1.364974663503795,1.4363732414125119,1.663436198528169,1.4616833728895429,1.5690671539834493,1.2566454400354254,1.5947524701661995,1.3188154170303332,1.2417238837707267,1.2039684147656438,1.2261082125584606,1.0379209711283668,1.1315668579437814,1.0521319230984485,1.1087986468106026,1.0471470991449172,0.9797945584657035,1.0865924761526886,1.0314559545543127,1.098088902933325,1.0955016160282187,1.1541540725453276,1.458788629540997,1.4104397986422141,1.1431177497297855,1.0473426110278055,1.125448687043357,1.0888172746920017,0.9344871252110296,0.8253744264623715,0.907292070303883,0.7994851578807773,0.8011089677470831,0.7801207942170773,0.7772112185723286,0.9847750487165869,0.8055534410215449,0.9316680664171747,1.0828922104716183,1.0645173156707364,0.9497185703468763,0.8600261250731226,0.7477205726901319,0.7316774728251848,0.7637684535942925,0.8171637276886241,0.9100959845932413,1.0071266281128788,1.4820571932648183,1.4616929513366197,1.1353714333722034,1.1041684156727127,1.003711725399929,1.0294603125693844,0.8207081193313975,0.7193238978676235,0.8135179602471233,0.777795808044899,0.7900248454313844,0.8582665995810135,0.9176679147959232,1.0374891414086576,0.998867033391802,0.9593229259361238,0.9037397276949082,0.8842899704520517,0.8798434708181174,0.905235800629052,1.2472281109710583,0.8171122875251281,1.0676588000265452,1.4161421998996218,2.2964517237186444,1.3929837465007024,1.027301752854017,1.023445832516692,0.9536472800366589,0.8855180241080625,0.8354028364958062,0.7427777654464833,0.7256992115821514,0.7684970743815664,0.7592986943849954,0.7978403496895855,1.4430132914829554,1.2774758421200014,0.7925525781657213,0.7823285017140029,0.7477695468240957,0.7558692105961998,0.7756714200232306,0.7909900845302847,0.8698080586694938,0.9494813123909882,1.0422183554621984,1.0486848637712307,1.1249490156232562,1.1620612220499502,1.516419395427363,1.5111453737681182,1.1058749484318422,0.9684666584892954,0.8706201709875276,0.8809403691610894,0.8531921121051291,0.8308682698581895,0.8226279850888799,0.8067098589924836,0.8329122595925607,0.8458453518502639,0.8680550840539126,0.9419952251620926,0.8276520175898398,0.9114160638321546,0.9916029483550308,0.9700747412571612,1.159818279467497,1.277893450166141,1.6561422338208505,2.2249480083334916,1.8380651387893365,1.8134206191263214,1.5979578474366005,1.372167988023769,1.1591782385603981,1.1940344166500454,1.4674066587631687,1.3426894899150725,1.3223202819454631,1.3665758165902182,1.29904592542795,1.3714974744747548,1.2013600353635483,1.1235706884876744,1.2912315226732152,1.3310641846843891,1.1505771823601132,1.2119067558371683,1.4049790931103456,1.2780699074538284,1.1618724976233805,1.3258942713719617,1.3968213132718768,1.2325166868871835,1.4100541988612727,1.5563106241652993,1.5785067451051495,1.7511034960905347,1.8515874638256997,1.6964565293751812,1.7863302139899877,2.0105777745398106,2.074470725275976,2.206404540099088,1.776795473777119,1.7460284013000928,1.7013493626976537,1.6555020210986635,1.8263989038793547,1.8900971312839214,1.7216226910235626,1.7184405417515298,1.9975638183573212,1.9404796683948853,1.7179164115858232,1.877178747281702,2.25312197326671,1.9838794767684926,1.704878870375338,1.5351619222004957,1.4212636693691305,1.4501382580084288,1.4680193165944386,1.3407295863851179,1.3984584536621667,1.26502249234251,1.2693300178731144,1.3454995956535898,1.2160981701148486,1.2055749462416678,1.2308746747976356,1.217484157499273,1.197338819266806,1.1858662569161653,1.3318373238405976,1.309958975338928,1.3566620664914608,1.366587281261738,1.4585843691352405,1.4891038096008136,1.502899733459588,1.4221661942456685,1.5227811595437502,1.6717680813287288,1.5011503608852133,1.543153021788923,1.728541767642631,1.701570265280976,1.6072728072964193,1.8260575526455454,2.010079851385846,1.7918072846957587,1.865417095475105,2.2036395680732657,2.2414673372155645,2.0506090100020615,1.8864490377258853,2.284369956031714,2.0373830253847087,2.0478368605098383,1.6253777607767395,1.461677553195479,1.3051466436607537,1.4189146883599617,1.4004000948555102,1.601286049658578,1.5220402799931472,1.5551668370568212,1.1294216065641496,1.1880627717114074,0.9677525730232666,1.0590972797100855,1.0430641652992125,1.010987108199697,0.914229499737942,0.960534432597787,0.9546190431496738,0.9859265661889809,0.8387996529971756,0.8911029508001861,1.0435627195060864,0.8718928831419277,1.2346845413510283,1.2120975191675252,1.7354203839089128],[1.265442456741679,0.7656353690472144,1.1831154900458802,0.5997321286598383,0.8238943517812852,0.6724025703946198,0.5777831677456905,0.5878466197581007,0.588572659043711,0.5913335453182006,0.6108520213280921,0.6275260570899349,0.6624913264053318,0.7383318465158502,1.0145783334134595,0.8734501442694281,0.9619960518065735,1.124492158642085,1.3605769251915847,1.2974135172024963,1.5139155285963684,1.551590534922213,1.8998019492642664,1.9235300886678346,1.749194076169204,1.5369943984753143,1.3539665157695628,1.1559389603592096,1.0957948073006152,0.9036250969634686,1.0764166511440068,0.8288204790332577,0.8944155863636157,0.995765105753203,0.9698309603684236,1.0591388473275702,0.9761690591561503,1.130347132865494,1.152450502939698,1.3237865404701898,1.4576949909092578,1.4227392690322005,1.5222550527298269,1.9183052578794482,2.194834016595019,2.30488545763972,2.8623761296042076,2.1005559272647965,1.967910737436174,2.3459044757863157,2.1989397628033367,2.9059204645171137,2.7236767161524167,2.569971793419303,2.6212329381065045,2.552015165742125,2.652397747748866,2.270066412405371,2.4144402904399294,2.636949964246423,2.190461154015163,1.7307762062942107,1.5447098145889784,1.5879817225978607,1.6825649833089924,1.5527873396636707,1.4637501093372423,1.3241273505283686,1.4588521197223747,1.3782509997197867,1.4270742055506627,1.6280359644672573,1.4279358134648437,1.5868373881916122,1.2689446276904355,1.641016817393758,1.359475493945341,1.275476796442633,1.2395832524129595,1.3279986954993523,1.120684488602089,1.2263602541614458,1.0573730984848477,1.2430506782552204,1.173332731918248,1.063356234178201,1.164998703163491,1.091289591249426,1.1456212833880601,1.0933014050037237,1.1556877738801785,1.4442979024811318,1.3943972756338086,1.1059209439241104,0.9922782959616989,1.0302641443928702,0.9966963093938401,0.8365629880061445,0.6979961452563846,0.7499787416497389,0.7080370569693337,0.7278466121927905,0.7397266850809454,0.7902046565560157,1.0719201953859954,0.798651422661765,0.9838070567821514,1.1303853537656063,1.0640884796858299,0.8972217084692985,0.7955249813774802,0.7104526378142534,0.6556695229055447,0.7185208492474168,0.7561322934094694,0.8961144289653841,1.0380250108518425,1.5964021491854694,1.504201534479627,1.1612368054841058,1.1026041090969378,0.9914966199984274,1.0111559321908163,0.7439808887754825,0.5883553472142905,0.753584257402105,0.6783467193255427,0.7465382879764676,0.837946345066696,0.9436623086265324,1.0900178971068766,1.0810918890045895,1.0661358794759346,1.0033913921657711,0.979950742029912,0.9400489735775207,0.9700736405547544,1.305733203478275,0.9071184255255517,1.1154627863195874,1.6391774118102862,2.296978631776264,1.4822651435323368,1.1121225067188822,1.1032350228215837,0.9994731170807607,0.9048739933875177,0.8142380107283161,0.7256862511884037,0.6364672974786049,0.6721467086763698,0.6245399738453298,0.6762094553780681,1.3421508651053977,1.0925104063633888,0.6753890086717438,0.6536380804732485,0.6694982709239408,0.6893269172665237,0.7558087394435856,0.8267673090078783,0.9201176753549045,1.0337717596284004,1.1604058993501718,1.1956663203091127,1.2826383165135715,1.3192651010368484,1.6751212393599961,1.608727166101394,1.210496581677505,1.0820718082743037,0.9786049480472041,0.9975346834809175,0.9474389273823023,0.9115096256139579,0.8671662674891951,0.8005489554503078,0.8487317956710991,0.9469232182112073,0.9570188962590367,1.0602268613300276,0.89202763236314,1.0245936507379445,1.1284610556748902,1.0943685557894418,1.27130231928473,1.3826108614233852,1.7847120966697596,2.3183539007602505,1.9082370689905002,1.9181253302923738,1.649556549630306,1.4824533664657218,1.2716280813588265,1.3022797796165528,1.5727040679470157,1.4391755176398346,1.3908272551858265,1.4092965740130723,1.3247855896120546,1.42614481395439,1.2300222297640895,1.1225948265119057,1.3138738274193715,1.3704432313922454,1.139035446065198,1.1759573846608642,1.4137887409861793,1.2843691117857208,1.1079269162905458,1.3056912810819676,1.3974106920190779,1.1853740107973092,1.3786023019959615,1.5252568241651858,1.508696816107302,1.8204673459184066,1.9424126009207185,1.7747624935243504,1.8813471969116504,2.129272250449455,2.2452274758304065,2.372178778769961,1.9162650762905444,1.8561026045788984,1.816121704325705,1.73769645149801,1.9304708278459344,2.0145691981908387,1.796619418658784,1.8035147346113631,2.1027756901639365,2.0214325464082665,1.8043063939171147,1.976193050365562,2.323552504844653,2.060453700218328,1.7690736050419336,1.6018998711099774,1.4775775834528428,1.5334042442440003,1.5460355834974668,1.4279106994085229,1.456337201662158,1.3208450945153327,1.3210954777255688,1.3963289659206732,1.2378742898366302,1.2119633175626254,1.2436455142148186,1.2180183824245956,1.1572874464361778,1.15917958401943,1.341930944940087,1.2868909354143223,1.2876963084203121,1.3527761113676464,1.4825073746405846,1.541311857651903,1.5703005802036023,1.4847438485890958,1.6264836523677244,1.7567053725422954,1.5582857408661905,1.634933298311237,1.843053126281645,1.801568714303648,1.691484708584529,1.9527649487696714,2.1422202893345323,1.8923307083888945,1.9380523659759192,2.3714003408454167,2.4060878097647818,2.178545907044496,1.9555548919852104,2.442765527776995,2.1173012221913035,2.1304098448361697,1.6007489148495522,1.4452667669479722,1.1931315466063654,1.3074626112833792,1.3509726795910992,1.5817579160443416,1.5067677040792329,1.6080227015154362,1.078185230966102,1.1860227495556115,0.9064780465407309,0.9585366721032954,0.999728985856521,0.9662631391556942,0.8369223234338624,0.8586294824804136,0.8356484075419953,0.836559202192522,0.724268256733927,0.7325702998630066,0.8440748700012779,0.7940629624607043,1.2361514937817375,1.2142604808330504,1.6959743687800612],[1.212245958225775,0.7694662595278724,1.1469156151582554,0.5350581192762632,0.8468152849690624,0.6527625847726962,0.5479509968975029,0.5544377313660582,0.5334301206226709,0.5167763194101909,0.5299863997800797,0.5676636554881695,0.6246689437745027,0.68402334251091,0.9733617855486046,0.8330576945036181,0.9243503386398233,1.058612270216903,1.2837797955963373,1.2561321111713204,1.4447350945738413,1.470472462120629,1.8248187331154755,1.8487475010567918,1.736940227188616,1.505859408707876,1.3312011765309828,1.1141748510009921,1.048713185965281,0.8715553432167749,1.0106897661357401,0.7849228088801514,0.8504797477568836,0.9350203632507953,0.9300894629662141,1.0193135120896515,0.9349002374674674,1.0694604569857644,1.114388309690062,1.3230231045250358,1.4398083738602323,1.387877635277423,1.481347352329073,1.8535118761890403,2.1489972296790985,2.1703348398652946,2.7566433238148487,1.9354853464129915,1.7239252899702697,2.0923277940213607,1.969834851398049,2.7401022607142744,2.6085981932810607,2.5223705055466863,2.58240710155218,2.4919445546826435,2.5963681126628737,2.2144515411979286,2.4099646457238575,2.5438538678062024,2.136215314099913,1.6253125653055778,1.5765491021611076,1.439714012459546,1.5468744052955008,1.5475070910477964,1.3802361986844895,1.242906203193278,1.3699840795234033,1.2571275932414019,1.300675081072176,1.4566141291004424,1.2820306181021632,1.4557580893477147,1.1633102248541594,1.511712137601685,1.2704314643036168,1.1943182942935766,1.1819170449484266,1.2637314532392196,1.0608605852295492,1.2200949057269643,1.01340873249273,1.179036594141768,1.1372699356366152,1.0348434620231544,1.1272631969219884,1.050956257173415,1.0941630890417602,1.0521447993151052,1.091977119805795,1.3467333489348732,1.304742101378852,1.026280715064408,0.9267271586984235,0.947528463579868,0.9294367060348614,0.7898884800739253,0.660626855120079,0.7419068775520133,0.7004510873587427,0.7180634723801611,0.7186281749280932,0.759326672104902,0.9877252781993253,0.7738850357872126,0.8721505545116138,1.0025442640432567,0.9873518557730233,0.8897748129012418,0.7821573969012054,0.6831931918391888,0.6356100410930408,0.7151776797437059,0.7437998618160517,0.8926353159652546,1.0210078434563337,1.7393828283067634,1.4712833010160262,1.1027786676938462,1.050704647958663,0.967361578358794,1.014990835179872,0.7083640147398008,0.5224360958638388,0.7143053628935265,0.6772342701009079,0.7256412869206161,0.8028541534609036,0.834778188005668,0.9393535945063105,0.9116382816444966,0.8778280011534196,0.8413039327829613,0.8367559474763725,0.8152409611174505,0.8566590942313805,1.1364144447291835,0.7989462424533104,1.135086172000626,1.6284635633719244,2.065335482486014,1.3134001321546216,1.0617203262730646,1.0405358626103136,0.9731544752134689,0.897367769687666,0.8136987097560471,0.6964839047105789,0.6275678864164732,0.6632954925838396,0.598005324924667,0.6387440145206092,1.2911060804500778,1.0921640163852588,0.6720386486459339,0.6496021546077483,0.6610392681242138,0.6714242388007705,0.7457069731782078,0.7894032277690447,0.888955453448473,1.0285448771918912,1.1611616598061365,1.193793644285821,1.3252409049971803,1.3059822414901072,1.6953794325192357,1.6215275847090092,1.2529408536187632,1.0599997809311035,0.9730348931025952,0.9495210086901943,0.8883968051039549,0.8569293889340336,0.8143716303024143,0.7957407716899508,0.8260012587293293,0.8871093788820309,0.8916946235743816,0.9975816163814937,0.8321281811120846,0.9218364152199188,1.0088883693622628,1.0126575119318024,1.232895950085625,1.3975710598023352,1.7417344951231364,2.3305908466877594,1.8017090966038947,1.8201262253896648,1.5495636211375563,1.3710761061231733,1.1258788735772056,1.0874921643101005,1.3332202679566718,1.2182756258700262,1.2392822199164402,1.3150060498978131,1.2458062153845446,1.3409964479999399,1.1697709127232285,1.0784879175497923,1.2638651939973542,1.3055311484419916,1.1110466072229195,1.1690171779142826,1.38562903921672,1.2523251715888566,1.1191801716348997,1.3101685452307696,1.3857268939663063,1.1850877804035735,1.3734950541844648,1.5190021077066485,1.4941346960064845,1.7646221984365538,1.873996265466345,1.7051069821180358,1.7830470229828526,1.987519225975155,2.0611078476207387,2.183588662683236,1.7424988590711572,1.6962029884670609,1.6588638668384568,1.6148319746742956,1.756635814748889,1.8265935847101646,1.679321982007051,1.6517611905648246,1.9142416796533444,1.874309995097005,1.6539813864452755,1.811040107372482,2.1581173335009662,1.9301872067265666,1.6370111682052815,1.4884077244676945,1.367101895265013,1.398728644452186,1.4321028599756787,1.3082025248029974,1.355174077166169,1.2168107768246514,1.2281961841978855,1.3191013835259955,1.1756514259191044,1.1597802886864033,1.192145663290572,1.1762949002197147,1.1504451323085267,1.1458443369300941,1.2933916257460982,1.2630031515006561,1.305894879403663,1.322913111729414,1.424317607608975,1.4721943958949917,1.483674442619242,1.3994791113614304,1.5054907769825443,1.6411195544063943,1.4827415920695741,1.5182760752243256,1.699953488804972,1.6845393520971523,1.5909915648805706,1.795151473987102,2.0002919386001805,1.7858925965253547,1.8304722894992322,2.1639035232595716,2.2457613635654208,2.0539813853085045,1.9090438035228772,2.376377544498056,2.1505478882140494,2.096820868060593,1.6195944831961284,1.4454439717608183,1.2234304795509714,1.3383942315419812,1.3880376820856548,1.640501084464019,1.54465899202637,1.584301526942161,1.0700165570546385,1.134342344727611,0.9115142621768215,0.9792227844549687,0.9738648401928635,0.9364646769857029,0.8180553512014405,0.8582359029004433,0.8320859818533641,0.8508496223577284,0.7078291932100222,0.7505187796360062,0.8671613197959859,0.7769565107218831,1.283462603522373,1.1872702299172775,1.6811441939068048],[1.2831185750445897,0.7670456723705309,0.8977507098726489,0.5488668503222601,1.0105937309608388,0.7633517441419793,0.7488580605981199,0.7501660502903973,0.7155515058458918,0.7283680717713126,0.7478718521540972,0.7489296692755749,0.8095117887819238,0.8467453088603534,1.0667645559875978,0.9461705809331382,1.0050603268815366,1.0897311827200196,1.2612915139391865,1.2427194156096752,1.390900222058316,1.4229278507760386,1.7319545293265082,1.7524909607437922,1.664900555591548,1.4621293001045013,1.3022418976852583,1.1280321975219043,1.0823536485285217,0.961008871023169,1.0793548512508633,0.8880274764571693,0.9713968240670574,1.0063022168040527,0.9960667308640562,1.0605735296716363,0.9999155926694607,1.0964197002831846,1.1351373149829158,1.3284529945157095,1.4443482086426946,1.3575434288395076,1.445412540314016,1.790712344871665,2.0988107118929924,2.1336425111195574,2.7116374803231262,1.8645389112121362,1.6766208589948093,2.0329698261372426,1.898389679217143,2.674412417842539,2.5502293254520216,2.4086796869577127,2.4991814839281177,2.403247101983999,2.5141490228668357,2.1322301450146317,2.3385445733206405,2.4527330896878055,2.076896190958317,1.6083913325501458,1.5198519709819645,1.3905161174430167,1.5346556297968008,1.5077391302372969,1.3526123812252806,1.2377077873050388,1.3606085431067843,1.271985663935593,1.3159080505324419,1.4702001497335748,1.3133851249535515,1.4447673061747728,1.1706136558145175,1.4904810394702392,1.250440548958463,1.1869489214708586,1.1848029278833856,1.236356893157491,1.0880726122175632,1.225392039524819,1.0912963497688937,1.1867912489182837,1.1535914759298136,1.0701835142454887,1.1489030793923711,1.0980530365482482,1.1070437564646907,1.090683162741351,1.123722150727004,1.3697248168343403,1.3403376664532345,1.0879184542970688,1.0053998761271248,1.047402162931413,1.03869271141144,0.9223866631410791,0.8224231845646119,0.9011732995502274,0.8549445967877889,0.8952621693626256,0.8541960767506881,0.9080251009942165,1.0568786882165266,0.9494560523656266,0.9532891013670436,1.0241980167521194,1.0148906291315982,1.0147780202091967,0.9157229389183787,0.848718245846701,0.8101054670934625,0.8663355957746104,0.8807717685934378,0.9742507570883627,1.0473483711222198,1.677973680618916,1.4631704605828357,1.123861584623232,1.1027588374450559,1.039834456818873,1.0891530759971455,0.856665425968225,0.7069611261024199,0.8286082385599657,0.8621080664615124,0.8961801902978418,0.9548959017683654,0.9152725632810239,0.9687345578509617,0.9773288467343532,0.9549946321754987,0.9168679005527121,0.9316877059093648,0.9049013876155164,0.9917350627883184,1.0865141686249165,0.8794483921781158,1.195295364508938,1.484984164467496,2.071504865720488,1.2611963798478614,1.0548555266771604,1.0575802451014817,1.0143723818716541,0.972960257896014,0.930968948026396,0.8285923768819526,0.8201241616731637,0.8454581074183097,0.8013294755448969,0.8301466481731146,1.39259127365107,1.24701180828349,0.8526133916447847,0.8226213090923085,0.8449240475005837,0.8195065745661099,0.8929396235954329,0.9033765162065497,0.9634257769680317,1.07895127004911,1.1825169300037823,1.2207871584131782,1.3333484997549387,1.3290125674967601,1.6839346247879614,1.671051491447902,1.3195226429229834,1.1452639264563846,1.0488884632724436,1.0160496085072799,0.9573857120135867,0.9319383835285472,0.9190109431072316,0.9104228226065123,0.9368915345041348,0.9488482952298517,0.9556445214811499,1.042439517637055,0.9464923093220157,1.002042189946268,1.0655965860610566,1.0887152876436312,1.288187917470129,1.4268729936312181,1.7619574183583464,2.333136501285593,1.8376781266480096,1.8860678036422949,1.5890775769853083,1.4355308335061232,1.205243560810623,1.1107662261144047,1.278439656327494,1.1683380157467802,1.2125715396021746,1.29207322222331,1.2256365721509004,1.3116480451573207,1.1703970695454486,1.1111576626060093,1.2560710519891465,1.2802976974405844,1.1370700258647666,1.2054650837981151,1.3540845265272408,1.2357729194602092,1.137629877089555,1.2756538736506542,1.3299358340560645,1.1978099782993683,1.3543874265657527,1.4938712070725666,1.5510122598229843,1.6198516782280497,1.7295891946847268,1.5945489867413307,1.666533451000339,1.8815844962583008,1.9267684160906824,2.0727782274191573,1.6632665049193285,1.6473622518966098,1.5968036704169095,1.5751211945101247,1.7074052954663421,1.7692600646098484,1.6427730390430753,1.6058683779175664,1.8487378673705441,1.8281579918342055,1.608430281214193,1.7687925203700166,2.158465505973725,1.868550777104333,1.615433455326991,1.4519521997635754,1.3526199482976569,1.3672206223512189,1.3967509982968156,1.2895079332096255,1.3482759451975845,1.2585541620626663,1.24371805015395,1.3013847523581803,1.1956427158769387,1.201193468734061,1.194597414810935,1.1811569616123148,1.1628747187239055,1.1517710185597723,1.281882600301306,1.26091034851982,1.3093032989350368,1.3085137658657775,1.3958495414561845,1.418625578368385,1.4243558415071311,1.3542593441294137,1.4340890895745468,1.5715694315696653,1.42880242553591,1.4544270560575974,1.6146969635490511,1.593549710923262,1.5244880290943392,1.7134727980776474,1.8936389661879292,1.687917953506355,1.7871541881940458,2.055782569998346,2.1053301750552995,1.9325568282936694,1.815604241363826,2.1312892815879785,1.9412567993755458,1.9284148874031057,1.5585108612132925,1.4130759898293863,1.314724771347482,1.4251985197009012,1.3433523850432978,1.5399197736046721,1.4305168777268253,1.4419283969234395,1.1720433626932536,1.1453050221313648,1.106301675076043,1.2024650363523055,1.0418688818861117,1.0229625365056445,0.960267613618436,0.9819100976125587,1.0068755754475505,0.9970261682302176,0.8698458264373258,0.873566884142674,1.0709285977595855,0.7070159189005145,1.2353757849061457,1.1501478406297874,1.694191888892349],[1.6284120519263643,0.9781205567125676,1.0581030444168498,0.68505296093064,1.1748153609394925,0.8847112641422781,0.8433282893697607,0.851057577909955,0.7656832501842092,0.7273226533321318,0.7268827934724059,0.7581073474056631,0.8141821306942595,0.8224197966552713,1.039384041861797,0.9246702126776587,0.9951015044449706,1.0787589679121705,1.2600240606202664,1.2611950595256485,1.4128944372157004,1.4521032515010428,1.7872992783481527,1.8151294219734404,1.7210519987856971,1.4872200267208435,1.3540615335463735,1.1479088271317615,1.104262808574227,0.9760550042079685,1.0458070543966071,0.8970822958284899,0.9499654871092006,0.9901395768278443,1.010992500813752,1.079801095077042,1.0482113419652428,1.1429426170749035,1.2095259500082354,1.4560715228925574,1.5109252358226006,1.4144244560551862,1.5113531248320886,1.9118549768631992,2.187086044751291,2.221231884668464,2.7948232978301766,1.9909091209378234,1.8035755946743492,2.1907814608473695,2.0661518788480624,2.8361644321890185,2.7073170477829285,2.642221318877671,2.6991204918533027,2.5717160493033244,2.644358778592068,2.2564676732214375,2.4547136603709716,2.5671077516694765,2.147997572663113,1.6138281068513367,1.5653642819207356,1.400378661955818,1.534948145064419,1.5461700591815535,1.346477549980546,1.2219134030758305,1.3318729730291137,1.2275851094439847,1.266675067265158,1.4229201291713096,1.25740743600209,1.4062647092499605,1.1331487981963295,1.4655447379565247,1.258148989389124,1.1913168190543897,1.2090174770541062,1.2960104745560548,1.150214614385636,1.3386622636773209,1.1907059887315474,1.3535450998711125,1.308520060946337,1.1917036959389802,1.2110906943034496,1.1405262403936924,1.1414614815565696,1.0916980471368818,1.1083944697140835,1.3157509844283524,1.2877381009247022,1.0471861716500102,0.9685096908506068,0.9839139156001868,0.9691722847499865,0.8999182428520984,0.8361339590765959,0.9477372197103905,0.916020884622913,1.0249400958290222,0.9692927997131302,1.047629321406884,1.2518067882168216,1.1034168042690158,1.1664148196324842,1.2041111734785241,1.180521194891249,1.203608917139489,1.0894017365209951,0.9870834763063552,0.9195156714450896,0.9515185688234231,0.913588842839104,1.01134983039221,1.0779416557187438,1.768111196187713,1.4482380295942563,1.1075649049816185,1.069515314247059,1.0255985903641762,1.0932341030579813,0.8563254270382458,0.7412497578296386,0.9203085338999057,1.005608540053301,1.0419767605477315,1.1598937183853821,1.106305319413432,1.1541483524985652,1.1914399967781557,1.184932838598335,1.1390781528444054,1.1460839228648696,1.0785157453972496,1.1748913976977553,1.2021448850831693,0.9490219546720977,1.267313288242622,1.6602523037446555,2.040667079174244,1.3118899646437268,1.1262811723754107,1.127918055334202,1.0722838297027444,1.0296964222837928,0.9830373092339758,0.9309491796543682,0.9016872157324369,0.9719340389673065,0.9027166631147567,0.9643265126235735,1.4338775772222447,1.2584910747257387,0.9624670313470745,0.9025427016150981,0.9721982246293814,0.9079332509496946,1.0253674812996332,1.0418888031513391,1.0658905781626753,1.2074997129366223,1.3325953393446304,1.4065808609141952,1.5403524846859946,1.583456607757883,1.9698813187245734,1.9221031623461866,1.5494003447470257,1.383596508658135,1.2525682961733082,1.2166524277014674,1.1402836313170306,1.0855797388697193,1.0691265208340468,1.0227715343093566,1.0720112709924925,1.0924124943319253,1.1515480373648284,1.2427854251561226,1.137282368626896,1.2258685592537832,1.3075209549441935,1.3091246505945953,1.4606101863934904,1.567221983745426,1.9025177388326582,2.4665832721425693,1.938109752218726,2.0023580964296883,1.7296081559961758,1.6540694603405213,1.4420867880511976,1.3295440233402147,1.4567269307093444,1.3006485055697579,1.3742177435024574,1.4465077178396442,1.360764096037273,1.5021665114802183,1.376602808810674,1.2935140264640335,1.447701207181519,1.5008569962393448,1.3393376984396035,1.3751513326978038,1.5629719895038798,1.4705571276724723,1.343337777175102,1.481142075543636,1.557186148928691,1.4126667480184256,1.5464984042670396,1.7060365101166193,1.7609751394195758,1.8708280136379665,1.9571906801249659,1.8310966596854485,1.925276566278073,2.142591912060895,2.2084710746316336,2.344342527260639,1.9190761132965435,1.9091184937548877,1.8490886664894626,1.7970148464104931,1.9672223635427688,2.0347987289546032,1.8627384575419748,1.8268806403608175,2.0657479294812093,2.0233435748291972,1.7918971606783787,1.9679120346889867,2.3672122468389425,2.0236552839849224,1.7463435459496521,1.6120910855739508,1.5145772235580663,1.5591384375168083,1.6190274210839517,1.5172503373589712,1.5646372978393568,1.467564957876378,1.455465020290442,1.5358164438608326,1.4194338732295684,1.4026751688761603,1.4179202079716744,1.4232874300347822,1.3692754021760374,1.3685525218796004,1.5314477853258284,1.5047800554963768,1.5209262254629539,1.5643428333890126,1.6777385976753296,1.6904667514225244,1.6968847480256128,1.602210093531294,1.7140869585499083,1.8497579860861773,1.6757947868283114,1.7049413242992586,1.8762239971440018,1.8420620487192798,1.7483887519410235,1.9449684062727635,2.125097905520957,1.8930435591356365,1.947839317625863,2.2562985383309098,2.2625932092999492,2.0925106623047265,1.955483389153782,2.2403868789010164,2.0629817024381825,2.0991595658747246,1.7291275788230684,1.6028190112250817,1.5072811317061767,1.6166964449365429,1.470444857622283,1.6008468081984788,1.4139487905869341,1.497958742129432,1.3835248072460176,1.2967650823290873,1.3044400024541891,1.4101410957283387,1.2241002578118596,1.2286764631970557,1.134347705017405,1.1616833850660597,1.204623713858618,1.1826340480939166,1.0460022076469584,1.031038775294886,1.217577457625058,0.8586329622899629,1.365708486440127,1.287426548546771,1.8805621065830642],[1.5075337646375424,0.8228877449981252,1.0249551231586989,0.5852403976355327,1.1765906716695282,0.8100746147838667,0.834275153493074,0.8415134348917102,0.7329837749041931,0.7630801488395903,0.7373607089629948,0.7805501126339554,0.9224234783668461,0.908452037064717,1.1493046451783444,1.0532149240455602,1.1670963041512872,1.2799382191094333,1.4699171794759474,1.5016864762782176,1.6431746708839827,1.687305058651456,2.013871626709536,2.03384654892257,1.9871290426703814,1.723099902550759,1.6173230806455443,1.3840917887786977,1.3267839974966589,1.168593269467118,1.1984057973292308,1.0613090011152795,1.0764920948583103,1.1600691773020824,1.2204793403816268,1.3028685380285214,1.2711221406614464,1.3937687762693525,1.4752081018464018,1.747981528272998,1.7818206784695398,1.683074096733052,1.791434266122124,2.166154308445016,2.417304215134993,2.380087662240596,2.939670740350675,2.1843278255607306,1.9438509600503577,2.3173375164962997,2.2283925037169774,2.966612198872025,2.8891925964647993,2.9383792788829077,2.9635928247019474,2.811971482566953,2.8631718788013356,2.514470079289053,2.71954535996606,2.7765042504948845,2.3706325559647787,1.814871840497328,1.8558365032317794,1.6061701633143526,1.7091407637359262,1.8027895024975382,1.5460662563100922,1.4189629106379777,1.490359686168226,1.3449174449969379,1.355901681829381,1.440014991318066,1.337046488444312,1.530763991879176,1.3024429968239823,1.6103141418485956,1.4792429161483382,1.4161167718311762,1.4494236411596586,1.554312301530459,1.4156708415732224,1.6146786489039968,1.4197787404077098,1.6183711309657167,1.5911995718643834,1.4620694316250582,1.4799633481731964,1.3825416774238215,1.3907957544876737,1.3113918238739306,1.3054462188477967,1.4523708126457648,1.4042591042885593,1.1702399949799718,1.0866862201883438,1.0455271152893284,1.026715619121443,0.9877606824051659,0.905858084692127,0.9685145210637464,1.0432794718841174,1.1260618786745633,1.1332077582730162,1.1754545640395249,1.4106023993024115,1.2175125488390985,1.240172356930269,1.267287552733004,1.2196032891358741,1.2634603242075735,1.131637431720105,1.1045834649393536,1.013247741978615,1.1113588062495214,1.0812150670609277,1.2171933873055307,1.3022603377908504,2.1022712173695637,1.6341002072841138,1.3049628418047596,1.2397177862104825,1.1919624482776905,1.2808401029198642,1.0029472585307568,0.8421970271941247,1.0742167666079458,1.050049595679599,1.1598899601500001,1.2725989560874797,1.2353293102790928,1.2430284813652699,1.2796329994911122,1.340699823609615,1.297402506347459,1.3393487486483466,1.2666381186530318,1.3410834613672806,1.350642036506357,1.1791242134799862,1.4897271993524632,1.9623212432239412,2.012522416412693,1.4893960827587331,1.3935153129334488,1.3996171076534207,1.3294613037490213,1.2729099692914634,1.1750637175202943,1.0995541470943528,0.9957676017253366,1.0294650785638553,0.8905093506875504,0.9403601196563939,1.3465785330852706,1.2031672946801106,0.9898316777166097,0.9727890895024347,1.059461623398704,1.0514935342139424,1.1738076015381556,1.2573645687941817,1.3180520375530684,1.4886976031336476,1.6247259776252716,1.719102501925101,1.8704295379917455,1.8837662904655925,2.2767530762684522,2.1839986116523114,1.8631781484196226,1.6578592491666408,1.5486913503907491,1.4917657428302198,1.3955862110184554,1.3359490134072116,1.2853421708247914,1.233377569468612,1.2889457069228099,1.3472117523462988,1.3917718843694482,1.501058234478686,1.3384490453312126,1.4426260700724602,1.5268205810486428,1.5513150657457069,1.7239717184698045,1.8480355856248973,2.1543343353946813,2.716119832553277,2.1007849335575663,2.1886058618532083,1.9026513805389722,1.8450325354516408,1.6220685510526964,1.4523199597827006,1.5052625173839742,1.3535565845305118,1.41778094093104,1.4725335945039266,1.381882627376242,1.4898439564571466,1.3549601603901555,1.2749097994346066,1.406311534439359,1.4462546228856352,1.2641000767633512,1.2841301425676979,1.4846355065914831,1.3827573168141696,1.2268104953324948,1.376669739277587,1.4663762348843108,1.2847509380912112,1.4324410121644517,1.5952217340329802,1.6130057515255554,1.8202505778266485,1.9104580626691166,1.7682984716184764,1.867130699826486,2.089331370563965,2.1649910016955007,2.3080098225606025,1.8583190550291393,1.8422163771621303,1.8036018900142843,1.7655519569534002,1.9362608937196337,1.986038082415822,1.826733881448259,1.8156434206820982,2.0494716652950284,2.0051024330039273,1.7924113603240983,1.979731149383326,2.3474181527164637,2.0208863499467653,1.7778626649383826,1.619251339108834,1.5412070278974679,1.5728231135045718,1.605524266304404,1.516425835500245,1.5458998466534253,1.454701009468272,1.441494614518357,1.500870968355438,1.378766394893564,1.3654488076745201,1.3581024715566672,1.3473809230155742,1.2850098094782092,1.2798868465783104,1.448325848841239,1.4053676094553254,1.4164999742909916,1.4527380873806168,1.5744755849678531,1.6066119708034445,1.624256131835327,1.5428808742404834,1.656364299252536,1.777213227930238,1.6072505422611376,1.6540279124681345,1.8147007222412241,1.7818515159440729,1.6986228110398514,1.8980453149433285,2.0771513126893604,1.847048904937959,1.9187232574609359,2.2268810682856244,2.2431777150683834,2.065977253483667,1.9108696511824905,2.2636533214082415,2.0223038575691636,2.062391798638509,1.6225617449697232,1.5008905399007746,1.3662669335924729,1.47870000509261,1.3919409313046407,1.544781981794106,1.3736632771935753,1.4739151246402513,1.3696563234289367,1.3098685448819098,1.34186476955021,1.3666001481593988,1.187924022790569,1.1607231375118574,1.079471286857367,1.1068542374653585,1.0757279032364848,1.0559649497521688,0.9851828605223053,0.8828370139022466,1.030378943062489,0.776058077310109,1.4082918061249396,1.2782472372565123,1.9328151785684098],[1.3222772709443817,0.708063315122714,0.9684426832264593,0.4677345724751714,0.9647283949697424,0.7039801002135809,0.6645886614618282,0.6689100889067283,0.5916472314060643,0.5802379345753144,0.5649776273807966,0.6308620483236443,0.6934282662207413,0.6995466150963939,0.9234313390027353,0.8115486464580767,0.8984343213600382,0.9802347813093015,1.1652472500067554,1.169336440709098,1.3049323547294358,1.3567319850596347,1.6692314013967955,1.6943227022186895,1.649891106828195,1.4017241484941418,1.2847593897479244,1.069051017924421,1.0168268890260692,0.8779731641002174,0.9288299062295843,0.7902802975663442,0.8216009981422985,0.8751579876650251,0.9099481012168701,0.9794871218704286,0.953217278605601,1.0626766105783856,1.1338715766605074,1.378266727603955,1.4644894314373038,1.3510713558519398,1.4406214839845337,1.770825512154107,2.0426431229425766,1.9920628779987861,2.546388759423225,1.7561403852800792,1.5860192423555957,1.91162376976847,1.8036265744770899,2.584560566901663,2.5209977364645186,2.5149968454604763,2.5838579031694655,2.4236450410699146,2.499043718156516,2.1477354409399085,2.3882655040796164,2.404303649659478,2.023473881311608,1.5050590983837522,1.5377132101959057,1.2812733669292466,1.3978948969657674,1.4647759958051474,1.2316008134073946,1.107340663241357,1.2138129854129434,1.0991050210523314,1.1505835393162784,1.2739413195938702,1.1132825767172705,1.2902965284520718,1.0076150366074759,1.3341387933261688,1.1375838669243015,1.0764595754303345,1.108342887175752,1.180429331857017,1.047747262503306,1.255543125957989,1.081569423521012,1.2274330568446157,1.2207252970341806,1.1006689772969933,1.1390520644688649,1.0699509611144178,1.0453239962651284,1.0014618304171352,0.9928691968122677,1.1715952894162112,1.1565971088550013,0.9171275423095945,0.8502380405811726,0.8573498610109068,0.859288814334168,0.7650552831954297,0.6888502917842217,0.8088455150978827,0.7916299412111082,0.8843522937261645,0.8585542840240857,0.9226727279541534,1.116787430727659,0.9719408112741337,1.0322616384247203,1.09695994603614,1.0716060056829448,1.0566289658119032,0.9444403225197774,0.8516197647665248,0.7755956994465926,0.8424886862934772,0.8229454096422485,0.9438448318757309,1.007610700555396,1.8395761437474445,1.3673266742825507,1.0266276894577933,1.0042623156683947,0.9528140150230947,1.0549819323720415,0.7787158446999459,0.623404721442949,0.8231602372594368,0.8476751655728734,0.9133159337355118,1.0150047791595713,0.9850368603910968,1.0343935059729528,1.0512978870280174,1.0511104369765742,1.0107899898559358,1.0426294661846425,1.001382066799745,1.0964686642615813,1.1367129344707432,0.9335936924337533,1.188524490625197,1.5580769219767745,1.9586800780201787,1.2102404364509993,1.051816056919958,1.0589154010036883,1.0030270584664982,0.9642928364537404,0.8894161231060613,0.8182840231602606,0.7666814368982954,0.8160148130767658,0.7220225984889037,0.7842744419950588,1.3109893726100923,1.1030750798091775,0.8005609537505932,0.753643721882074,0.82078633783677,0.7916091775915969,0.9063717426382638,0.939810891370166,0.9862469766449019,1.1509651159962582,1.256191501845814,1.3481278971648198,1.5170347464718397,1.5140199712104914,1.9127692237241631,1.877942437080137,1.5360330392614656,1.320219235703524,1.199897514741463,1.1338346022544898,1.0465075387220346,0.9959722921328031,0.9622719040097302,0.9334265137846005,0.9841122642282504,1.01078918506179,1.0376185223639391,1.1272050223728611,1.011456753086598,1.0927228459784848,1.1730309288142557,1.1924990013984205,1.361735784995805,1.4890440633142967,1.7964383709878278,2.4290236605109334,1.8050736883051466,1.8831668375057182,1.5848785154878766,1.5243206649502334,1.3194232235017067,1.1947167922483581,1.303379186231147,1.193869604953293,1.2551873775708584,1.3300312278051822,1.2702510305975396,1.3688319134764344,1.2294323439121155,1.158759033022381,1.305124979855458,1.3409540569721548,1.1752537966986718,1.221555874052,1.4037664805637062,1.2928078377259333,1.1624651229446823,1.3150242375360464,1.3885025696726212,1.2249310812660292,1.3990690998947297,1.5309605179129675,1.5498625059770197,1.7238442797939892,1.7982654707227186,1.6618603850215743,1.7442364328894493,1.938448654349004,1.99265107707561,2.111370592785184,1.71398075867889,1.7001032573009789,1.6543465750722826,1.6372795283249033,1.7605150039839081,1.8206535898893714,1.6903529206409544,1.6600596368364429,1.872329339516435,1.8592626590827026,1.646954732018594,1.7961754711291444,2.1970394517921514,1.878593297282853,1.639217447044757,1.4913657017527,1.3883901133103538,1.4204915240801728,1.4665041268970642,1.3627463005091027,1.4108656938182795,1.3181954673114253,1.3113650611360725,1.372749240684785,1.2590852194842406,1.2528612329344266,1.2559061462139256,1.24400978826117,1.2023207113831555,1.1983638638422234,1.3494278543029121,1.318242192085821,1.3385562031851448,1.3668367380174002,1.467403106218595,1.4918668490430849,1.5044660312354547,1.4313398649052407,1.5166299033871975,1.6461023875918346,1.4958447469751195,1.5266810946216824,1.675612317770935,1.6564501500973365,1.5844158188808626,1.7657804506082302,1.939428660988421,1.738672722695385,1.8299956398210493,2.077922666982255,2.1334959141439462,1.9665843493309445,1.8543691208174637,2.155701706507033,1.9759895620570695,1.9867840243387536,1.5895420324976564,1.4458973737694545,1.3035955049549872,1.4072824620141051,1.3535383602395703,1.554880519278675,1.3966076062468855,1.44694313315906,1.2068293371238736,1.1884915760428854,1.1524173248048832,1.1823441977060403,1.0902435604686578,1.0605014232276997,0.9651297656668021,1.0012951426392958,0.9838402402116314,0.9804595156928931,0.8343235467861184,0.7935827085772994,0.9523565600119581,0.7281122717074175,1.1934900377834077,1.168540102072385,1.7851275408629335],[1.420572751837567,1.160905384710203,1.4706342906346437,0.9589149355556967,0.9999593842246932,1.041625727079946,0.9271039537523866,0.9476860106265483,0.9988769835599196,0.9367503073409972,0.9387355337546909,1.0067690261547066,0.9200781045599647,0.9680682234665664,1.075471299924227,0.9715523961645589,0.992259490864968,1.0459326655875743,1.212719626938365,1.1621360069477271,1.296640475732274,1.3342552500210012,1.6428916487260425,1.6704719237224954,1.5928798825052404,1.3823720378425401,1.2573879965802193,1.075131973283505,1.0324900522728244,0.939810488214599,1.0124812460844679,0.9121762971099074,0.9276918505234143,0.9693086351620381,0.9402375065625601,0.9778811960575778,0.9505291556601703,1.027558301647136,1.0686447366900025,1.234258627053397,1.3721713052085207,1.2982987226715434,1.3571667887579604,1.6267392968122618,1.9164954550810618,1.8645805569033205,2.4086510274969606,1.6194918426579628,1.5207075847302647,1.7790454745996391,1.6719024563744658,2.446062439138706,2.369514301014575,2.3322083518321857,2.4151240111418475,2.24957209814156,2.3408577428486126,1.996435352760035,2.237389967700038,2.260033055407461,1.934774080455152,1.505291950435275,1.4667525771236791,1.336322276936038,1.4256263987720101,1.4043046468913039,1.2718692543155157,1.1550531307747767,1.266484004263309,1.2141502554033925,1.299577691819456,1.4370851474087265,1.2748377517127518,1.3860839750498968,1.083564146451689,1.3327238182316006,1.1444508231661374,1.0812062348978748,1.0890652553251834,1.111071557418638,0.9712010443123386,1.1258304202947602,1.0161674260631692,1.0737197215652285,1.0697865387298255,0.9930909698385045,1.0661679863412066,1.0237083770916489,1.02101153158088,1.0353793502760649,1.0143311199879694,1.1866856581010323,1.2044667803956692,1.0593143648656294,1.0371871961467287,1.1056229465021765,1.1390416344361738,0.9721675033899394,0.9118661036701224,1.05644012351749,0.9145358566179395,0.988369419800973,0.9142515760574597,0.9486990516149995,1.0729142374262965,0.9785274999611493,1.1139204217340966,1.1844896772357814,1.1846124577960309,1.0981607276949723,1.0325458718791067,0.8937030586222675,0.8861957786525254,0.8709647497315672,0.9164225909602922,0.978809434941679,1.039025094565105,1.7805229099717583,1.4016210088152157,1.1214892883345762,1.1575329741520086,1.0894564049297693,1.1461513425669663,0.93458723071249,0.8657071148479917,0.8957939457966235,0.923663191073134,0.910460435080979,0.968519097622759,0.9686054832059509,1.06035586197847,1.073446757424242,0.9998868453338516,0.9663605382852246,0.9548088858638272,0.9570027628010153,1.0117567475005784,1.1678196507333383,0.9335082021486725,1.125501358490491,1.487534352720363,2.096068164043699,1.275891983524043,1.0505661638558452,1.0375651881889159,0.97919384928346,0.9488083218488861,0.903005138116338,0.8552163670245913,0.8888708800663794,0.9498342634713203,0.9790724092680866,1.0679351411700821,1.5353556443081298,1.2968080706933809,1.0015167368807443,0.9186206094125101,0.9284939993145426,0.898680020399392,0.918720282405401,0.8971857205572982,0.9195828155707301,1.0486414573942995,1.1212490873528649,1.1931020389311213,1.3846073000208958,1.3469729667171462,1.769419595859012,1.7429909397925034,1.3941774317942774,1.1708533369143246,1.0589304851736394,0.9987315058091893,0.9381452590657892,0.904995476142345,0.9130689866052674,0.9505416951165385,0.9521097895291133,0.9226306583359054,0.9417155678617419,0.978832925074223,0.9301771554851613,0.9764683904266267,1.0541036409400955,1.0420283075857715,1.2092073754035275,1.3396305151178785,1.649281301939684,2.3457910155937087,1.726515178556197,1.75682198830127,1.4804743474117712,1.3963284831579927,1.216996097256441,1.1411152503905113,1.289297483318142,1.217331501674756,1.2705892571995907,1.3517320489650104,1.3537331255462444,1.4572270929272215,1.3514822630759675,1.2760244250358004,1.4243038614565666,1.5091243229221643,1.3648290984764888,1.3805905329953303,1.5958608097457534,1.5439162864539346,1.4414921282664777,1.5850393770846711,1.6893356022229258,1.5611800799769933,1.757105018306719,1.8436219703357763,1.7684519924722124,2.066610323166806,2.0130653854731153,1.8792794118683733,2.0010736066997725,2.1882169005602075,2.2515682872471228,2.340050651261139,1.9688784440340337,1.8681487920686195,1.803030314540187,1.7488273321156824,1.8585604795441573,1.9668868971095346,1.772900394710008,1.7591663887658218,1.9698924051801625,1.9348314944549991,1.7207553551708163,1.8316507782685425,2.244341979468001,1.896619838510519,1.632627305104364,1.5453193036035235,1.4111676341641606,1.4815446299455324,1.577215817497047,1.488572414469563,1.5516766684667274,1.442252593407991,1.439188710327492,1.5485100761820856,1.4397607540777082,1.4265432314638464,1.467278869653847,1.5120237647718842,1.4850444431071832,1.4800266426370325,1.6285818265538583,1.6395865956583224,1.6704555788524553,1.686992008404421,1.7828431455298162,1.7898680688058943,1.7700156202280874,1.6409937872636715,1.7395364088245573,1.8884155625531343,1.7029527021278763,1.6997409392041098,1.8706446663608927,1.854973423902355,1.7260309123407998,1.907811316460119,2.1199080291935446,1.8678290530171506,1.9201641076036902,2.1802793134345935,2.2441071974833746,2.0530129235507815,1.9590477852085961,2.225993533662189,2.0398477801424275,2.1875547635300596,1.7713104264981,1.6220803900327687,1.490337183456396,1.5379970127577696,1.480938141654284,1.644080243605252,1.4737139608740397,1.5279285987914513,1.2384422880078774,1.2549811636942032,1.1167540078367906,1.16788776595839,1.2826995436429296,1.2772933753811144,1.1371860339065727,1.2100484614877403,1.2157775082412792,1.2415470061027107,1.0751304384522906,1.1388642129049544,1.2122407708679255,1.359903710060245,1.318755656924776,1.6630845641373608,1.9147041037274644],[1.6263829944121073,1.0151699698482264,1.3375405294171463,0.8106169226364769,1.1614834294430672,0.9724059051456304,0.8444531228954665,0.8851453362065602,0.7707644218360994,0.6672379085004555,0.632995162314835,0.7878163294103381,0.7471027263122724,0.6716145288906695,0.8515098063847428,0.7915862451899472,0.8442480162645719,0.9045182704091583,1.087239961425616,1.124703407716523,1.2691000339283036,1.360783086465808,1.673278898491268,1.7204222500614714,1.6579816460733061,1.371778665950157,1.2712151516931747,1.0429587691796853,0.9927228435536276,0.9032999432692139,0.8656674875216215,0.8592172743382926,0.8462116807225819,0.8788342999602232,0.9375759798064043,0.9656676365726612,1.0121545549094786,1.0974957887802872,1.1760532353418625,1.452671874313241,1.5091837194180948,1.3547340743578373,1.450753612004837,1.769954174973142,2.0339455801169106,1.9938258939840803,2.4873653672261327,1.7590919109304017,1.6450406937033994,1.9990385205423433,1.86616446285804,2.590604324547651,2.500899967513321,2.6048782731788753,2.650768318066544,2.428575361579442,2.4696195468581155,2.1529912454630806,2.389205013888958,2.365209032707272,1.968617406188717,1.4564456840364235,1.5344258362403314,1.2806011606040046,1.354161193974275,1.4282307829759018,1.1500102002485069,1.0033903504528097,1.0964035491875337,0.984178652568897,1.049618553916793,1.1872481961106052,1.0081940475404538,1.1686047872383363,0.912627951128337,1.2450002391341335,1.0553427406454357,1.0193855458897647,1.0917999067079769,1.207426658129949,1.1192959820230737,1.362557062086877,1.2217578102790214,1.4301765235595203,1.358430857570563,1.1947496304450695,1.1883835640357079,1.140084006672931,1.0451241046222646,1.0256735797305778,0.9338862229650188,1.035789738690384,1.0278680796586275,0.8510713422301807,0.8106435052260452,0.8034649589859351,0.8426472195244086,0.7896346164159981,0.7870569909870545,0.9908921328922922,0.9362103236342756,1.1245805048567228,1.070736613599278,1.173259579833621,1.3790920655985415,1.2411467993379404,1.447026075603228,1.4782499627673718,1.471769880449385,1.4374264027842623,1.2776994150436296,1.101519737069357,0.9599010464348171,0.9280618301913828,0.8298106813027463,0.9300800796489626,0.994268622549465,1.837825210119037,1.2713644918558247,0.9451401471594991,0.90407925223314,0.8518478822868941,0.9516840199027985,0.7455477451590644,0.6948026983216117,0.9403468776058986,1.0641250876059531,1.1352551671466957,1.304702818380342,1.3103504853558614,1.4259674307316148,1.468866942064493,1.4270054653307933,1.3918653436848685,1.3532671577983255,1.259782439622827,1.3519169824950286,1.3989065097946125,1.0222695641755268,1.2356081320791836,1.635347389854458,2.0012363529921062,1.2672660915676968,1.0984008991953704,1.1002637272393987,1.0487170657990386,1.0181027393770596,0.9643016916523011,0.992295960335369,0.9146221236951864,1.0656918236949597,0.9315642562146687,1.087803088223062,1.4254768512548046,1.204635611730337,0.9977454014031516,0.9259756824136974,1.051127447510721,0.9693613614760573,1.1146128761456775,1.1240369019143102,1.1119400649900335,1.2410420332277459,1.3489608592681406,1.48843037421588,1.613636926112323,1.711789602087428,2.130535141843921,2.1033694701358723,1.7048974054384691,1.52769760618657,1.3593439920164938,1.320483565615569,1.259521277171226,1.1948427869687874,1.1911640057360782,1.1053038634265075,1.1945510701899493,1.2254922195682652,1.2953331752866886,1.3534156352326236,1.2775034717201945,1.4054891622678312,1.4824616145105036,1.4211420374942403,1.5007441120644178,1.582917305962213,1.87978091936412,2.489177662656964,1.9326954808685368,1.9562060574450117,1.7177530590863588,1.703369046897903,1.5571088295783901,1.4946650858292763,1.6694124834257789,1.5736316939286605,1.6740967861858926,1.7617907672178994,1.7061027793185826,1.861643293348106,1.7355184293561676,1.6167077408883361,1.7910068703061601,1.8768609545097101,1.68563493466217,1.6618933268699798,1.9175730440421597,1.8595847540707608,1.6619163806181059,1.8262605403752477,1.951212961168343,1.7490376008098092,1.8939586871437488,2.0390284351977144,2.026140227811784,2.320843636127056,2.3605954340298663,2.233143994617091,2.3544586123846605,2.5441914695459675,2.6407448088399534,2.682542419530281,2.3400230480349187,2.296956612200593,2.24514020522191,2.1767139021414743,2.2922465014788314,2.3768456623736234,2.1905654284247715,2.184614196785534,2.381594461216599,2.3227791739042374,2.1241859993868886,2.230371745065808,2.5838546728989664,2.27115065057329,2.002048036983962,1.9431921282809312,1.8365041978167167,1.922448622571339,2.0015138495456792,1.8994910785181955,1.994173932664488,1.8212409284610627,1.8255130307587035,1.9422505100710887,1.8133398450612996,1.7473517293995067,1.809762318937172,1.8322262119797463,1.74150326856122,1.7484063253592184,1.9640127407260286,1.918256843699729,1.8801654788867723,1.964095725152609,2.098921389561478,2.125058195254712,2.142125392994802,2.02870975030695,2.154761069959353,2.280011281013451,2.086135204521723,2.1176822784062908,2.280734801908064,2.249280590508513,2.1163647972717,2.312810009095131,2.478271138026797,2.259000185363718,2.3022779535035545,2.6022511871090477,2.6169786528316767,2.444913580051194,2.2853318070636393,2.5937440559229894,2.355829721015655,2.4692312229713904,2.002593269649647,1.9008311841547287,1.6833330452762172,1.7345838371783933,1.6998280844298215,1.8541841842409195,1.6749358696960472,1.82938070388638,1.5698996322417116,1.5921371973829785,1.4142412880131998,1.4621616092697634,1.5203549835067394,1.519215995984203,1.3455181987445242,1.3519791617825643,1.3468290488639656,1.3144843570980878,1.0694854491688472,1.1107418408881689,1.1571814738861501,1.0820378931856838,1.2972873170422794,1.4005771525793844,2.0709052282450986],[1.8191644817192456,0.9746590087087665,1.1168822815271822,0.6943228146117316,1.1284405698176085,0.9243586065746775,0.8212296539436746,0.8571489322002563,0.7622709491472881,0.6948226063470421,0.6749494519840967,0.8103288862626107,0.7579824745702409,0.7157163751697838,0.8926247400777854,0.8183404877901862,0.8482595968397456,0.9009631932197042,1.0577963016216962,1.016912548687617,1.1330096522993514,1.232538925558529,1.4524668670760574,1.5129075438274864,1.4299297696701385,1.2033826232838905,1.1173707626433875,0.9671606045041891,0.9416385032933443,0.8634273804928025,0.8878257277803074,0.8482489094993372,0.8704061368956632,0.8807194303145336,0.8979081068696383,0.9056412014890524,0.949537686675051,1.0081658303671672,1.0376489396014772,1.2241722175185574,1.302661526421207,1.186812546050562,1.2415546013963554,1.5277391631387574,1.716083296884352,1.6857281689350694,2.15435927711686,1.488641630592622,1.5158359431941812,1.7929395401313115,1.6961297540893754,2.441411095121698,2.3684725199567143,2.4337690772727467,2.483546313043212,2.2658839345357205,2.3013934137749774,1.974912476895503,2.2417506534659797,2.2337214836122374,1.781053871070076,1.2798694665608206,1.3972559790934718,1.2044338948583835,1.2004241362159318,1.2715663604675649,1.0643438432089596,0.9662092408735842,1.076263303680603,1.0341305601432753,1.0862641258472974,1.2438486040868646,1.051022582330777,1.1871343935265497,0.931173024412073,1.2598934103345123,0.9866699278719684,0.9630511981659747,0.9976663071464578,1.0782027980443245,1.0009575283012269,1.2045562020850347,1.0821620935900635,1.2600383524718108,1.1716908636783048,1.0540626437853737,1.0493199896159342,1.0684732711938416,0.9449985449370999,0.9725268639867882,0.9093769489933796,1.066386075774482,1.0719493989968025,0.8860204773210887,0.8609729831221693,0.8911525271779707,0.9198810176771965,0.8376372327149909,0.8088409783935848,0.9873166650578313,0.9048615946131081,1.0103886038560859,0.9725556587749487,1.0826707088384098,1.2737987432017537,1.1289894474916764,1.2669026280957485,1.2780123093418014,1.2858894754142993,1.2823586618890561,1.1628033657783934,0.9903116207383076,0.9047217058555108,0.8850888546926912,0.8164760767378683,0.8905996669046226,0.9475343661573035,1.7171522162215909,1.171332128050559,0.9156892787450975,0.9020725002332958,0.8627232579197734,0.931861316087836,0.7456955073538664,0.7037111491427193,0.8889513837565102,0.98541883093465,1.0099938277701146,1.1653346563167213,1.1498508977248232,1.1940819372057188,1.216564256658436,1.1738962974493519,1.167863589742513,1.1326559018175624,1.092203069016144,1.1449118020608653,1.343136411005726,0.9489574467776094,1.1292987114322879,1.516720844330554,2.0663628847447,1.2305239229140532,1.0000377858878156,0.9979850731351162,0.9604830771446805,0.9416014295984366,0.908508973012114,0.91472626973274,0.8790519404258627,0.9989193874278098,0.9058881387861073,1.0007618483746816,1.4084109039454045,1.2168529863753714,0.9785097524453016,0.9079493498163517,0.9902969334912458,0.9103300481186153,1.020585325045909,0.9993976383223444,0.996027120523183,1.0951625464240988,1.17987896306707,1.2518238484257513,1.4027459525982113,1.4527592791371946,1.85084391021474,1.8472053116031024,1.4575566481306388,1.2942381062875383,1.1609605092148094,1.1266451039007521,1.0869037419697707,1.0448699649159283,1.0475450884426676,0.9961740943803953,1.070886389868667,1.077117616517139,1.1298843664622635,1.152445679740442,1.1160045491944819,1.179096021314959,1.2315360100220598,1.1609181140678486,1.2196007942928655,1.3069466247447012,1.5714470698388225,2.2338833714616992,1.6713990402813803,1.6604366175422232,1.4734408581134848,1.4430578701597558,1.3145589604742933,1.2114837719000997,1.359664284041812,1.2967013234092357,1.382598127980137,1.493311386937778,1.45790934041325,1.5993281966579178,1.4978659498723488,1.4082866267067784,1.5548869543925983,1.6271133311072163,1.4680807291546067,1.4664107475744517,1.678052420568942,1.608393083754771,1.4566555020895133,1.5979426389688045,1.688103088403156,1.5207783504166907,1.6445148349159087,1.7731858395743954,1.8132546303003836,1.959344858513449,2.046365008701483,1.9347104170121359,2.021010084357771,2.184654543772281,2.251003835383492,2.384087046995684,1.9703555757267275,1.9639788299902734,1.9119195734477805,1.8859662311530698,1.9886772998569253,2.0469152262449244,1.9105711070623566,1.8697226234644628,2.05165929361705,2.0193318323775054,1.8180552622091708,1.9336125035123195,2.317821008916132,1.9982631408082856,1.7311744877144535,1.660258507636845,1.5636188731452343,1.6274900877671494,1.7236171706653407,1.6337844675070914,1.7038572934860958,1.5829209647580764,1.58309590646219,1.6866444611507245,1.577039627163594,1.5381014043606587,1.5660632025627876,1.5815110395166512,1.5230190535832746,1.5249464308812508,1.6923668196326125,1.660261879420061,1.652226286267852,1.6930434501054221,1.7936444635868918,1.8164952404062034,1.8257987878070099,1.7459580072903795,1.8252363377791936,1.944434639506998,1.7983333710855385,1.8135923429285055,1.947286863655422,1.9321771102761576,1.8341548284038274,1.9873023759746247,2.1544319016031475,1.9695465588013685,2.0133114836854062,2.246411487624824,2.2848285507575072,2.145375435334445,2.0369700026383026,2.2973457780210804,2.118880844772016,2.15243155989457,1.8013855306175306,1.69544826668253,1.5707598918668515,1.68010758012982,1.5607834516260641,1.6798314845991198,1.4632331155751217,1.595701902609426,1.4364759379710543,1.378078645599246,1.2836733173965942,1.410508314816973,1.359705190357734,1.3599335210961687,1.2366609017271881,1.2503580440885125,1.2623325450101315,1.2461104555515559,1.0659252623079047,1.0407829095627468,1.1596749344394954,0.8771834625025513,1.4767890834014477,1.2900219152280799,2.103019870447982],[1.487433158781035,1.0182516991417894,1.3654111911681381,0.962414857321188,1.1082086789162062,1.079027381746769,1.0113005290084816,1.0281303659481766,1.0070596200146071,0.9319850780857356,0.9158099244573469,1.0405484548900494,0.9702538474647422,0.9410796499318248,1.0416274640067316,0.9977882805281904,0.9828551441514494,1.0019407766738746,1.0964011452881932,1.0669354475347572,1.1379787067789708,1.2148908099838527,1.4135893407633504,1.431783299078151,1.4042635712708653,1.2159010708375342,1.143549388354586,1.0424622356335673,1.034395589936831,0.9988372736520068,1.0116804516365188,1.0109867555946854,1.0004378055135656,1.0021921889296979,1.0116091373172453,0.9981044153841835,1.0315061816213222,1.0682025361085594,1.067962538281152,1.1588933934199666,1.3020385578282565,1.1768126195364244,1.2092860526699758,1.3974342143941145,1.6250272969391997,1.5853625853543019,1.9759737551834005,1.3273307608769613,1.4608364207636082,1.6485348600103982,1.517661329508628,2.268317524532628,2.1752323361691954,2.150230933668694,2.244019713153147,2.0150500951304,2.1016680205353553,1.7930768033493047,2.1203099348519725,2.0420684662937933,1.6813423804432415,1.2702563423660946,1.432416376665191,1.1855973454169382,1.2003380330904478,1.256908608177443,1.0986629096739446,1.0373639296388115,1.1427039160012784,1.1157790025929946,1.1994204009636273,1.3332205556182684,1.1358217783524363,1.2011571848568001,1.042192783070607,1.3243436144370095,1.0250242022510838,1.0148559821684815,1.0368716183362807,1.0894396747247768,1.029746758466604,1.1575959977372559,1.1490058751654746,1.1785744372989642,1.1287220485054503,1.058717904046294,1.07296213752221,1.1013791212289634,1.0123884936021297,1.0502427991752716,0.9804304513877062,1.1257735041403958,1.1065368064087058,1.0290887683955925,1.0195493359812164,1.041146482105629,1.0672475352234623,0.9996389634760283,0.9969145025836833,1.1699777920034442,1.0503420985529075,1.1357958553367746,1.0785250522059542,1.133445400076525,1.2633562461605643,1.1259214238979207,1.2337497955358678,1.261376855232363,1.2726535311205147,1.2527989111436624,1.1782822598581075,1.0575361533350547,1.0261369327003989,0.9996674051492402,0.9764038767120548,1.0188664660690714,1.0491817284064986,1.7267773496571388,1.1896462967605657,1.023655727501441,1.0445151075692196,1.0051745588816638,1.0559243019881606,0.9626938461888271,0.9457455343689453,1.0370759744614473,1.0534000183406125,1.0560449030604664,1.1267016372680814,1.1217363901722275,1.1410816358323759,1.1312920513243354,1.0916957300780288,1.1142999675880116,1.0928471855182398,1.1107077131393734,1.1534775803792074,1.3435435460590346,1.068216769956934,1.194611363225345,1.5079054592956052,2.2819132957036286,1.3168380419024468,1.0751099005870701,1.0491457111015978,1.0413623887510293,1.033605146329874,1.02870610221582,1.0266235880997014,1.0121648762125683,1.097875427089326,1.056599334261503,1.0949792347676597,1.529649863801357,1.3133687191926697,1.1098114359625753,1.058797429755217,1.0848935641191668,1.042407882527531,1.079214546543799,1.0831661994241326,1.0527209830853825,1.1354669898266216,1.168062585894211,1.19928838241255,1.3674797786960446,1.3747852980990276,1.7390160399923544,1.785271452656717,1.4659559902357775,1.2734747355739253,1.157578225956895,1.1173519318313794,1.1025632062547377,1.0667778647555748,1.088890475574653,1.0986524982261212,1.1058548101040822,1.0974906270714668,1.1076703297523558,1.113812160356416,1.113776399084702,1.134086751630868,1.139108842026214,1.0982816718337252,1.1349894857911014,1.2190739078025707,1.4311482671486884,2.1141727615728305,1.5296114851442824,1.548329474320159,1.373510650944111,1.3107364441162497,1.2072215628471115,1.1379872221965768,1.240125087185921,1.1919541565286844,1.2370262942166936,1.2934027002045771,1.3483887813253421,1.3838854486282246,1.3327687090230182,1.3009265163386656,1.377005322527377,1.4165271920438425,1.3236059338787294,1.3462472876400984,1.4732336142337499,1.4180994154721285,1.3493690702402679,1.4300495495712942,1.483556491304978,1.3952153434367107,1.5528844088429419,1.6037831185643816,1.596008709264009,1.7167287462124556,1.7124701446186126,1.6254531409211768,1.7039258807513247,1.8462708748588965,1.9211211461704025,1.9538138786908816,1.6584062038131184,1.6126095005809495,1.5760950164245637,1.5959924732786361,1.6360174050483964,1.704692294010857,1.587330281203264,1.5846545567173542,1.7115786979971366,1.7120039414657173,1.548517046870375,1.6163579431752644,2.001265285728521,1.6886739157405148,1.5416032208896315,1.4175830931254563,1.3391316534727857,1.3724014060744487,1.4625994433026872,1.4092274606219828,1.4595571585169422,1.3842761276961835,1.38133371571808,1.4496954864701377,1.3972819102998357,1.4206397118104,1.3983162321284848,1.4159529203918482,1.4039502009691127,1.389332600004273,1.4842413954742468,1.483722962335571,1.513929520822616,1.493265120745392,1.5542498859921763,1.5582453899642335,1.5546135666025898,1.4877024858444388,1.524536651809858,1.6315928838041485,1.5189103976777811,1.5093613067664338,1.59769380538738,1.5964543211174713,1.5439499855378833,1.6356088529256056,1.807506207658359,1.6237398258682538,1.699395878356051,1.8551389241865677,1.942918315300315,1.7855897242971595,1.7582372448248578,1.8865697994663853,1.811543177874109,1.8798844051699597,1.5964532278766816,1.491848039885324,1.4307991754363742,1.49161167367839,1.4178289220905949,1.543860188047983,1.4177664497353524,1.4377062611254474,1.3005980688198482,1.289416265808684,1.2745644811980053,1.2863925762511417,1.3293584897766324,1.2793049193363335,1.2038131257843252,1.2649767200156687,1.2103966285296863,1.2472854812275174,1.1135935107986203,1.1068122435655408,1.1958874554810273,1.1658370312042619,1.3900938267927214,1.5221909021644218,1.9938933342500074],[1.3787102627446812,0.7016215134223783,0.9355676506184547,0.44946810431262685,0.8930658122536655,0.6990861828314588,0.6499945317131725,0.66092522670081,0.6130418935817707,0.5692795879363476,0.5577415381433991,0.6476707557043424,0.6344663443045863,0.6461848878296019,0.8528898154351378,0.7367744766598361,0.7720043242228048,0.8199558397091893,0.9837112124205455,0.9525452677794728,1.0661344965845425,1.1329674063805177,1.3960182380187405,1.4159524219382318,1.3769619463864833,1.1535396749645095,1.0504656406661845,0.8852344946063864,0.8593335943360725,0.762521293702355,0.8183710906793904,0.716077791282322,0.7460907537253637,0.7686112568403698,0.7828139507461251,0.8206703443252176,0.8149683465761458,0.8872830542653938,0.9166191016818832,1.0890560642219933,1.2037162592026716,1.0966475628100036,1.1485139494877732,1.4244845042166543,1.6632341059416444,1.6113953895967166,2.0903024644999615,1.357380198407328,1.3778349204041114,1.6180356814670063,1.5063495369473519,2.323651107472206,2.2567468053322233,2.225233441394427,2.305434648609601,2.117940630046165,2.2054478470811683,1.8638916650632533,2.1524220801152474,2.135461718121788,1.7391319692294893,1.2472079854657834,1.3656081502391144,1.0924609669592764,1.1446098161661173,1.2309597043182559,1.012313043474122,0.9059584042972569,1.0230248337878045,0.9639293391019854,1.0258720297293409,1.179988568764255,0.9826891694665465,1.1058858840440724,0.8582571106770002,1.1913502956253936,0.9182498273939,0.8876289823008421,0.910388544064469,0.9729755512217011,0.858604644736444,1.0417213911199747,0.9256091129579798,1.0189074332617973,0.9792945807119336,0.8932915206250636,0.9328241523758137,0.9147868809244367,0.8548616801628953,0.868896207541791,0.8265474319426321,1.0203313578715196,1.028101571316103,0.8286435874818168,0.7869078934359949,0.8235049935596469,0.8438368497571349,0.7294424699484083,0.666336801677213,0.8266557811433212,0.7325206413244726,0.8265491118880826,0.7663970207689127,0.8207565325214552,0.9919917948279765,0.8324117269338839,0.9033796071262586,0.9685006106815991,0.9646906871696739,0.9536870326111636,0.8556438482486283,0.7459260018448364,0.7117423235409868,0.7284698867621582,0.7141846255435854,0.806219246620196,0.8583882611465616,1.696443827299471,1.13764614219923,0.8613897719136059,0.8648529438966998,0.8229084575520543,0.9078224764671675,0.6751412422174325,0.5748244173626096,0.7411118564186092,0.7631463512000403,0.781539240189233,0.8584634312762217,0.8253380796322374,0.8676447871039115,0.850249585447727,0.8254214582766202,0.8164556760021484,0.8324084651035171,0.8296984266450306,0.8923897442827815,1.0886477084649222,0.7978818475713527,1.0159486569230969,1.3542947164614862,2.0498307456746057,1.1198468067723242,0.8815753553823282,0.874729778895884,0.8432143580550704,0.818852254394353,0.7753816706161935,0.7167500187273902,0.6924628762629427,0.7617732238049195,0.6962458480501292,0.754084857760188,1.3085261970384414,1.1066259961783824,0.775647782329357,0.71978252909048,0.7569876853145292,0.714618975765928,0.7927434551613392,0.8006675418875638,0.8226978699684285,0.9541286773217,1.0190000271757744,1.0631923288065457,1.2505296834390454,1.2386650115721536,1.6298292229374656,1.658509794602262,1.3074990131555277,1.0865043101177303,0.9655832804858746,0.9080420977693466,0.8534570869241532,0.8075648279723546,0.803043570778381,0.8093465159117316,0.8412332726515237,0.8300106761803066,0.8419094744601562,0.8995801162461947,0.8325315584349632,0.872561426976405,0.9230844074553265,0.9157079606649847,1.0496265870318864,1.1755801647430462,1.4347893867076138,2.143306562573628,1.5410723751213755,1.5648972843023157,1.34044148632815,1.231583853770587,1.0536812718326527,0.9651720030538011,1.108960207810753,1.016610395175596,1.0521107868286004,1.1367646464281318,1.1225292916392282,1.1798886747320119,1.0729004426016873,1.0229290536875528,1.1450470228905039,1.1690952847558345,1.0432023067121445,1.0977053002721848,1.2435027772629237,1.135163200825431,1.0481664426032742,1.1789884295148823,1.2252058571548314,1.096870847700915,1.2508214620572804,1.355828284785484,1.3836739488984962,1.5000797570114366,1.5725196726031456,1.4562970074437005,1.506492134490456,1.6889951824480662,1.7571804381925287,1.8901761385296894,1.487535229187323,1.4492121689645894,1.4056040041689493,1.4159728136253364,1.5003187859460414,1.550373959289871,1.4564297586173498,1.4148825024639156,1.6132203578240565,1.6093050314399446,1.4117201455747423,1.5369728381926437,1.9241832511469124,1.6413019210796236,1.455805630165946,1.2880978012105202,1.1862926354258723,1.199968066440135,1.2558573247006983,1.1797418492624034,1.2205692107533694,1.1593593942767537,1.141528103881042,1.2036217761437995,1.1143347148507485,1.1282152895656814,1.110226757843795,1.0994937366928856,1.0870016649804515,1.0651976909570315,1.173369739472768,1.1601093351470353,1.220731923192216,1.1945932953570992,1.2696741521848016,1.2927968452352065,1.2939087518258094,1.2340237139267958,1.2949366549199202,1.4103674433319797,1.2923868830950616,1.304862244489427,1.4269420680684182,1.4281695798934229,1.3688708838995787,1.5058402585816155,1.7065744983934603,1.5129965251058801,1.5992642002533786,1.8044580395100436,1.9118543213714778,1.747055154735991,1.6810226144844695,1.9863107260740371,1.8831533173585995,1.7870914421938648,1.4329057221811077,1.2930884024932414,1.194426081686919,1.3074914897115097,1.264598354301402,1.48567495264069,1.3838998055061862,1.3567950733409682,1.0572220371661378,1.0497421520712409,1.0146063085014112,1.0791494976068028,0.9972828244369794,0.9536013303681751,0.890913234896941,0.9384561702979026,0.9047228740780427,0.922328796437187,0.8073498851888693,0.7704985489852318,0.9364557694837813,0.6696217749872,1.318346099833397,1.1389037409499942,1.8060017496855314],[1.0634417197449615,0.8831573149566171,1.1192409885164911,0.6821052945475409,0.7476764117558472,0.7591943632174075,0.6461820388113,0.6658832042356496,0.6845814417451367,0.5966316310342743,0.5962714164075438,0.6386984978861114,0.58452429477268,0.6247296537749618,0.8164500985765488,0.6918088260373055,0.7022781680198398,0.7265268370040768,0.8920119099041535,0.8242065532308278,0.9531895141419624,1.008705369521787,1.2888605488028726,1.314046820383512,1.2218136603190912,1.0383370910665122,0.8941429480136981,0.7586762326551254,0.730858247578366,0.640492765700696,0.7567137052613164,0.6452130763128441,0.7106792956659616,0.689431378568144,0.670631807776355,0.6965798744934438,0.6556159657619618,0.7382991641065104,0.7454813571144301,0.8898565618000621,1.0359964716255896,0.9342242559199551,0.9690749003209155,1.2267857598872727,1.5693906708803884,1.631496586336039,2.075367287738946,1.2762916410685228,1.436686606709721,1.6014720441355272,1.4373140845164991,2.244709513035855,2.0946701313353198,1.850550092784402,1.916980783023381,1.8263453784284907,2.0274103390698635,1.5610677011287817,1.8309814233753994,1.9244754478752941,1.5857627294258707,1.1641720312588013,1.1351256348576602,1.0373226783488378,1.1445921414321132,1.048839099218021,0.9603127639889535,0.8264440463638585,0.9937268588365142,0.9502643536598101,1.0513123791364418,1.2441731657049269,1.0072487759346815,1.1004352476181283,0.8246621699224362,1.22178369766354,0.8220470332968939,0.7766619797701783,0.7659274415852961,0.8183948228057902,0.7081387102615058,0.8460056680226005,0.8350382101049472,0.8056240260681051,0.7931026612921053,0.6978516506762409,0.7705067520701191,0.7838467264075728,0.708258215271192,0.7244495701862843,0.7178400685731264,1.001653344854925,1.0009733576378657,0.7980409050130877,0.7502432151355755,0.8324476331609584,0.8243426121187154,0.7095189957636382,0.670998034637875,0.8340362890062668,0.6734659231112068,0.781660453656133,0.6463412481150802,0.708871736758867,0.76395483377809,0.7276338623220585,0.8584026906421872,0.9965828457457658,0.9930895967196492,0.9049402168017004,0.8205951753764237,0.6740077739698779,0.6274223989687453,0.635228291791329,0.6030334162943353,0.6833523175331432,0.7455242531957521,1.4104827757221388,1.0977173485559926,0.7653178491080961,0.7961550696686976,0.7450616345743977,0.7962299610687014,0.6041886197582517,0.5635683285303259,0.6667753579576778,0.7139094351152101,0.6648920959721535,0.7205760794310588,0.7420714051337048,0.83680820391824,0.8292906743392229,0.7316329396560584,0.7213305876770609,0.6918641764803599,0.7035713371674046,0.7331185383115731,0.9711461569161388,0.7301908370326543,0.8171618491220629,1.172071581713878,2.2519021060334765,1.1183245861522475,0.7576963634217724,0.7397642196783707,0.6733093613775422,0.6478002179374152,0.6578264544472401,0.6021396446363569,0.6136882768132697,0.7080739846044979,0.7234310413861244,0.8208113729572566,1.3752221826785367,1.162850818342184,0.7473453264523157,0.6744470549987582,0.6766584144592348,0.6317730959452976,0.6883493924203363,0.6471586244138633,0.6292191713075855,0.737444046729341,0.8023529313490011,0.8263436084886916,1.0097554177996615,0.9658346927649873,1.3402475125027629,1.3849050673123247,1.064882567984283,0.8471800102511063,0.7296388642030149,0.7074636568388085,0.6691486576958238,0.6290247216252106,0.6379143117675712,0.6798046963748011,0.7082392940026926,0.6679586504962901,0.6485751821495566,0.6944305303666718,0.666898382588436,0.6850990215076821,0.7514984317953257,0.7438450837965221,0.8924666103279778,1.0128337606246165,1.3088148444967878,2.0479039951943707,1.5810263214112428,1.5080942083264854,1.388965564595164,1.0945882649660685,0.9174820812306598,0.9402482130749134,1.1293801131167902,1.0313307827419458,1.055405922150739,1.1282877335907273,1.1306111300452457,1.1469128727941287,1.039337658382957,1.0091468620696487,1.1229930981926561,1.1465320744174627,1.0327727043167085,1.1292127913386774,1.2462308648713722,1.1397061125412713,1.0765350098308513,1.2247892641789413,1.262202242778441,1.145726141060658,1.3326884541646984,1.4508304491228385,1.463707483207206,1.5372000250730793,1.5695440070407392,1.4458476226482033,1.4995676489896386,1.666266816511288,1.729743984208004,1.7933613442007343,1.4910459698323832,1.4318156246321596,1.368121117173494,1.3576318790065847,1.4187110729745367,1.504385725294995,1.4057049816719984,1.3252793715428899,1.5577184850312507,1.582011538236975,1.3617742445052718,1.488523555244057,1.8979469509877136,1.6123874733972199,1.4891911497452215,1.2756861332409277,1.1627041963806055,1.1541822656564957,1.1880433723502375,1.1359135439462988,1.1872550518235285,1.1143670757969706,1.0993260030733485,1.1719675801817158,1.0891327964434507,1.09468571113949,1.0949696555310358,1.0996883416140433,1.1018709534189735,1.0792129705248008,1.1691738015655306,1.1876767325160615,1.2622213492602656,1.2199855072387606,1.285835411069247,1.277303697954591,1.2698710631561871,1.216147216078468,1.2628706121175082,1.3904382811808877,1.2719900193043288,1.2717986733149644,1.3999441980718688,1.4068489997025901,1.3388486940648445,1.4756958470393504,1.7111219558244333,1.488219056073208,1.5705647143672523,1.7615264986913541,1.9139935852672105,1.7311174665959443,1.676406009781736,1.925578368675455,1.8622118972821289,1.8075108762146364,1.4949578578382834,1.3234259266779238,1.218226347381413,1.2974139578103134,1.3571084838581375,1.5806403946818155,1.6049768366285775,1.4395194619567857,1.0068651099288193,1.0445339656291481,0.8857574473378751,0.9462040503675968,0.9951749793619813,0.9527186988531967,0.9494613099263235,0.9313363452735415,0.9328935547559254,0.9639509146964353,0.8092885444048905,0.8387006091456111,1.014332721320769,0.9072768802294634,1.0439626768192392,1.1965868797478323,1.678775289003937],[1.0388837145566916,0.7366662677673991,0.9780274139493075,0.5475433412198011,0.7758989573039783,0.7079057781379751,0.6364085939000876,0.6501165629083883,0.6785607867046755,0.6295858392471348,0.6545833622152628,0.6496372551162419,0.6269447767698645,0.6919413636935748,0.8839259087253286,0.7592826776107039,0.7766196457360561,0.8143358251940489,0.9663478498922378,0.9031813391279687,1.0551464728138766,1.0956677741853997,1.3898090945509005,1.430626002588394,1.2943631862438014,1.1193411125672406,0.9433885603591845,0.8194127156744814,0.789507791122373,0.7012189919260222,0.8580899003380972,0.6981630702437093,0.7889052860648303,0.7709489048022818,0.7336024988554869,0.7698307145002323,0.716313186086096,0.7876203066560645,0.7803962445676101,0.931006172948016,1.0797832208832243,0.9856408442949445,1.0333574636577663,1.3546640688334646,1.6888015802005323,1.7716982915417012,2.267256511985079,1.4313093384605715,1.5032856074021457,1.7193374986522645,1.553924592610576,2.3694728713239295,2.2026072989543013,1.9653300900268011,2.0412778747212195,1.9711908217672736,2.150590788166781,1.688038876887441,1.934924524097879,2.0719003690130178,1.7099625974134602,1.2818548976496493,1.2000397968573413,1.0759807032121298,1.237733868101807,1.1482924312372034,1.0573616105694492,0.9311047842812553,1.0839247293421683,1.044904552545831,1.1113245730745474,1.3035248950837968,1.1047295804373898,1.1906170318084988,0.9230798703064208,1.3321623787434886,0.9354334526529194,0.8920861218104874,0.869695675173531,0.8863366484073351,0.76066022371369,0.8918306689928448,0.8794467401822698,0.837504416622189,0.8085975059637348,0.73595705727135,0.8255796741262302,0.8335434263652606,0.7872979883940034,0.8122634987066474,0.8314498231091574,1.1473975740050706,1.1345982122347922,0.909055437321914,0.8468982682619182,0.945780921165348,0.9365160944855883,0.7863995250281712,0.7066499396334525,0.8299889080212796,0.6923565434999129,0.7425454657048839,0.6466180937327782,0.683501379689602,0.7656264666014034,0.7168584532091478,0.7963373112922479,0.9166866389247775,0.9150852065296567,0.8698704656810005,0.7752005496262375,0.6497946267640284,0.6265897823176643,0.6363187407579753,0.6604050582882124,0.7153716451761934,0.787243894679822,1.3945837480524739,1.17988042710903,0.8525132451339622,0.8755554679267487,0.8172227854868297,0.8563436928290824,0.6517196950431061,0.566646010476109,0.6575636193268765,0.7010961504566549,0.6767102820261237,0.7121618960650872,0.7083893354551722,0.7993849495077217,0.7736376129349473,0.7042330341159716,0.6816865470415363,0.6694653586460908,0.6758220968061807,0.728768979324345,0.9651171520257831,0.6435315724069636,0.844739387888771,1.1201320587620351,2.1594888961753216,1.0830442004905076,0.74837574413493,0.754177139510491,0.6914743424527795,0.6644902828253636,0.6852065680581294,0.607349399750837,0.6217547621673675,0.6875164530669876,0.7083598813924118,0.7753453607265778,1.4045272967813291,1.2198822889946908,0.7361908902334712,0.6828298898641757,0.6672620808669529,0.6391768155241131,0.6786341377440893,0.6385051694721072,0.65493021026821,0.7476670210832852,0.8228297081748105,0.8446614668091621,0.9949330601074762,0.9754083923293478,1.363242641657469,1.4125284876853998,1.0373507947382843,0.8268782448730516,0.7071476385456179,0.6872858381239949,0.6483159574481533,0.6245535238989253,0.6262562334379242,0.6510660417616836,0.6857295878408283,0.6482908280827476,0.6447431391403206,0.7041305377624348,0.6483734326869101,0.6800517329582443,0.7487582185067934,0.7482323340257486,0.9221195915294249,1.0507083485691486,1.364028713304407,2.0778908399040725,1.6145220829310443,1.544002999915617,1.4218186939983408,1.1342112610503168,0.9378535383706157,0.9409062426831946,1.1359939482661503,1.031001395186952,1.050180767926946,1.1165656199099312,1.0933056865547874,1.120102566535057,0.996552076120359,0.9586601636657879,1.0838867647397044,1.0989064185700659,0.9788344565597237,1.0689425228201967,1.1942249923516954,1.0768011247749383,1.009376785217436,1.1440413733390011,1.1858580432144754,1.08226108889055,1.2575729681098167,1.367488310721145,1.402385563669241,1.4537791666108284,1.520739169978358,1.3937077725051825,1.448837054039474,1.660744547502737,1.7186066152882125,1.8317405132668592,1.4793019123495226,1.412096477666643,1.3566118744117759,1.347559638717711,1.4442319917799489,1.5156744723237932,1.403538535630437,1.3654980789112603,1.6051389580850592,1.60849535170269,1.393912326601943,1.5311976034918617,1.930861930425191,1.6471185886401938,1.4829862990750708,1.270121164761845,1.1550657637845105,1.1529264753404185,1.1731962478058002,1.0999950857407508,1.1628705891333027,1.0826728412619988,1.0610999239346377,1.1240205875864315,1.0337034776930867,1.0469223792334843,1.039438433154545,1.0333678171077967,1.0416280668733198,1.0115650413400505,1.1097077821251897,1.1147473432057626,1.1918802949698593,1.1539106146129403,1.2258310258497072,1.2247804867609335,1.2243128029909096,1.164426654564168,1.2267510809338593,1.353547145398435,1.2274276857291466,1.24286109413373,1.377291833556712,1.3736811395392443,1.312391235387856,1.4715706656642102,1.6842008866695388,1.470912976161381,1.5749490588628705,1.7916368134380332,1.8892170850403311,1.7145847877892924,1.6465019221578825,1.9289061281737347,1.8040510314164557,1.7615627096265076,1.420868117398067,1.2644904894576108,1.1749500702421134,1.2592750886982453,1.2595691346322777,1.490746320043035,1.4767066893484047,1.3681070353452287,0.9721282408775577,1.0062735008504835,0.8905477044386064,0.9749173276203875,0.9339305094284456,0.8948679782934018,0.8810897973077447,0.8843154663791649,0.8861415611691608,0.9109576428607792,0.7571850473628567,0.787644882198624,1.0002431075767158,0.8056798805847651,1.070783315795176,1.1660177587627472,1.6522221218194135],[1.0042864803913292,0.7209087803493927,0.9716281344997624,0.5583960625555011,0.8503259746575884,0.7248800220646943,0.7058206103667988,0.71377538708257,0.7555131739632647,0.7587187536077359,0.7978929778322233,0.7946270487117539,0.7994841592750498,0.8716508665447718,1.0943082340408439,0.9628470125011247,0.9837699160308417,1.0605228422502704,1.2039061570529905,1.1541022501491427,1.3017955459469217,1.317398798774488,1.6252254173646499,1.6408667078382262,1.5030249683220083,1.3465077010464943,1.1649758443960678,1.0364765539753826,1.0077825700216894,0.8977561556391697,1.0970151900289482,0.8778199205244608,0.9944441474788163,1.0140789793497265,0.9603877232976976,1.0094570161172647,0.9055460740518229,0.9795088383401428,0.9709430192287558,1.1099511031443137,1.2374946700649039,1.1953817496193648,1.2475240319268437,1.5956455450989757,1.9094110221803287,2.0073958088271153,2.533385502131954,1.6932526268347907,1.6512471064807461,1.9049801576427408,1.7534054492561224,2.571088204719967,2.3853115002219383,2.136185132747601,2.2257757694749145,2.197394563864085,2.3582912326148935,1.9086660549329568,2.1287622111825004,2.302735665476471,1.9318964168474353,1.4991739912430917,1.4146699381845316,1.3051718506205994,1.4326718529555411,1.396204522283044,1.2998309931773941,1.198879733309159,1.324953538140298,1.3015492255150984,1.3390483414483259,1.4954779109485137,1.3483107754825874,1.4302240430858724,1.1842566195937818,1.5242276339470553,1.2011582098435232,1.1551519778351964,1.1152832516344844,1.1160193833299425,0.9680627812233976,1.053583759950212,1.0030801139052377,0.9471344767005405,0.9288039362615141,0.9007843938733903,1.0227282961141473,0.9903103786474172,1.0250890755086335,1.0511714046723943,1.1130743007975399,1.412440193304824,1.3902147357830523,1.147095724951884,1.059943858431777,1.1311524537948017,1.1112766290978118,0.9643386538894684,0.8427994814494963,0.898573263713489,0.8116157638925163,0.7862874524683549,0.7420224888715516,0.7350395125985995,0.849681617695689,0.7600445252916785,0.7554368248322972,0.8990998745642278,0.8863636344935356,0.8267335278762319,0.7490601427723916,0.689445140568686,0.7030788673555007,0.737766799165289,0.8311531006712412,0.888825117842927,0.9769638092750509,1.4955602664630132,1.3861293701529833,1.0864701271514678,1.0876842126557353,1.0151905478684182,1.0246794053096688,0.8205359864256139,0.6821514114485908,0.7485310772667191,0.7198158686431787,0.7115377299129247,0.7114482175576062,0.7254955241668894,0.8197428040693804,0.7807075747202877,0.7286765838563777,0.6860077260851123,0.6850987710637639,0.7179215036531742,0.7416536874804458,1.018254975809631,0.6930654264980295,0.9954807377175117,1.2410525849373513,2.1768209428297864,1.208917201959297,0.9111831207913569,0.9156285426829701,0.873196292687646,0.8282238308656193,0.8167879755820886,0.7151936037900309,0.7242041802746338,0.7374554777823131,0.7566271646668552,0.7730159161427684,1.4312877697625872,1.2764485306365594,0.7952342680847673,0.778831247245399,0.7376055741345634,0.7437001505066873,0.734349285287589,0.7266952570287282,0.8043789652383849,0.8708094685551032,0.9540120120359703,0.9274770930488029,1.0266853144767223,0.9918659118663133,1.3389242460069637,1.3646930759529174,0.9978961051035414,0.8166400708273052,0.7532631774268779,0.7508326149084954,0.7173968685370372,0.7250292887593345,0.7228985833240468,0.7692665656473808,0.7647110233630675,0.745388562509631,0.7123777591510035,0.7824663010828663,0.7005791798366499,0.7209161841083594,0.7825823732395903,0.809133452751261,1.0318412562981853,1.1903658554915184,1.5194433016222946,2.1545447590278033,1.7388087997743695,1.6652595180002232,1.5625790580058978,1.220823205109151,1.0054327407021597,1.0206637673736803,1.2392344772928419,1.119221447671115,1.1120622045385182,1.1507725021347404,1.1000147334312456,1.119270649404728,0.9643517419788533,0.9194331556454183,1.0536475489535102,1.052690014525249,0.9210996907877937,1.020110781776584,1.1356859235453898,0.9993894132901123,0.9440919402033602,1.0749053959970423,1.1029476919623658,1.0033987349099105,1.165231280194607,1.2798897868964274,1.3150459716741267,1.3818327781118476,1.5012145070279947,1.3642054515929796,1.4002559702040451,1.6078789642236504,1.689469522696716,1.8129242166359105,1.4428423965141173,1.3754850082651813,1.3348010721419645,1.3301090280162924,1.4507303063852057,1.5031104606939463,1.4060315441200328,1.3756611267353718,1.6332662745897228,1.6230061617637925,1.4231767476828177,1.5874706370917469,1.9464697947016125,1.7089015394009994,1.530574425461902,1.2957053413217803,1.1943464095800662,1.1844325918842737,1.1715882607409018,1.0892701155121323,1.11459972781386,1.0488554011570514,1.0270899950240584,1.059933413716876,0.9779687569475087,0.9965963736611596,0.9705778904910823,0.9452033307868718,0.9572605246169007,0.9278874473623573,1.017477553730776,1.0064396401887337,1.0947169766855847,1.0522008209430325,1.115152424837044,1.1374079796076202,1.1438557767444553,1.0973711526767533,1.16910897371484,1.2879060432102658,1.1747172211045485,1.2085480223598966,1.3510339837470915,1.3474846766463935,1.2980742552963132,1.4729357136090535,1.6813565536624935,1.4783674756290457,1.5800957254302344,1.8410061706214365,1.9437205710789665,1.756837244515493,1.6642837182144912,2.0480383835368348,1.9020562554930496,1.7600326815381695,1.391970915922173,1.218074375287631,1.0961354824657703,1.2039736605977187,1.247485972496951,1.5274008766668286,1.5591057736076361,1.463180887686628,0.94383349113369,0.9981001774914637,0.8533775896472656,0.9598336561145259,0.8713338293236261,0.83365988508073,0.8464387815395873,0.8382823293197305,0.8380444365766856,0.8696864240449298,0.757866082677778,0.8266195317820728,0.9995274545020337,0.7499118338698486,1.2512749317155007,1.202328768742378,1.685894309733841],[1.0156561006580984,0.8805620925005339,1.054660611079386,0.740522722891247,0.978842765601289,0.905862562297781,0.9088069674981428,0.9159589226750414,0.9759053355100326,0.969212058196028,1.0207449132556365,1.0044348920171757,0.9971760999957693,1.064136763409741,1.2569982105782787,1.1370172888651675,1.1204865786104747,1.1737163387934346,1.2858766105151254,1.227826432609993,1.3678054565529132,1.3793348571173565,1.6618883156524098,1.6949413891000122,1.4858160010009682,1.381639303934527,1.2080437665680708,1.115336517246528,1.1094450269551093,1.0434532326126589,1.2465948205474195,1.048729371854433,1.1727821549572985,1.175846203971477,1.1068726397360489,1.1313098851056855,1.0272426334671525,1.0470649131584153,1.0361521798108186,1.118183001070183,1.239015038100737,1.223704720288997,1.2585782967200978,1.5960986053430817,1.9345735533038062,2.1101492198615706,2.5892311269468213,1.7396832383668897,1.7686949097198514,1.975577426564537,1.8032750924143288,2.6142970681332294,2.3871121251953533,2.0292023998771263,2.1175443517253885,2.1549886638140068,2.3458819316100232,1.8540046584888465,2.071319874338555,2.2844366247019487,1.9566543531402534,1.5933530406631622,1.4255489007477675,1.3833600130808725,1.5426762728457082,1.4344770203622736,1.3890801688184629,1.2993453124487844,1.4455917780373215,1.444646446530277,1.4610090971507228,1.638563891890281,1.4965084638803672,1.567272025724593,1.3121267988730752,1.6550445164700482,1.3171246332365305,1.285953163299941,1.2273942318896367,1.1868716906791612,1.0635980312584907,1.0997954565283106,1.1196160723920294,0.9847847379208913,0.9866013309734917,0.9704324241825093,1.0852637418127773,1.102286643934685,1.1355798992710913,1.1840393732417651,1.2538007497072448,1.5754069500509027,1.5417839006766716,1.3258408960300365,1.2364493648100197,1.343672145564367,1.2853711735508724,1.1423919623941134,1.0539885305757126,1.1160502104965688,1.0113609391129117,0.9669534041519261,0.8968095693471676,0.8861760948423149,0.9265818597785562,0.8968496397985389,0.8572887755989658,0.977014423128585,0.9705160920529494,0.9355230262024387,0.8700953399017418,0.8357319917536429,0.8749067234358808,0.8773913040227161,0.9869764924612735,0.9972474902072002,1.0724827908411345,1.395154125525201,1.4509481143003784,1.1967829219470256,1.21582072519623,1.1399874226477593,1.1252581215342947,0.9773154842876447,0.8726009492346163,0.8792454687456444,0.8688825311367059,0.8555249432186244,0.8201800248403871,0.8320341554150311,0.9060964178488897,0.8636544916689212,0.8094198974666628,0.7709610221549548,0.7682823790446561,0.8202977417462063,0.8386580999885966,1.031894467654985,0.7816414217619605,1.0364908759719136,1.1578071363530793,2.2780068975128005,1.2504810944563258,0.9593830321498201,0.9769736889601788,0.9476156841416715,0.9154181487641745,0.944761219006978,0.8729963560810867,0.9030769670607846,0.9072975144698072,0.9680694109404563,1.010773774458463,1.566054450647427,1.4809231503727172,0.9892256226246106,0.9824831544505779,0.9051128529881436,0.9268015026751248,0.891799127340936,0.8410837805315627,0.8937136946048434,0.9171621468465705,0.9856589500520843,0.9438000041650719,0.9865910383142724,0.9775818747086626,1.2898502666577216,1.3407965309470073,1.01230889055126,0.8454073390293078,0.7992942898371345,0.8122861671480174,0.7977598253843081,0.8257783962259272,0.8394280112783487,0.9057907090811599,0.8906062222074741,0.8361198411007056,0.7893823905257011,0.8431646505997699,0.8009385562644893,0.784374815192868,0.8245396068672267,0.8564621630465885,1.0633400253631629,1.1900868795820299,1.5305005804618652,2.1450922398945167,1.7851671188611462,1.6731613543764383,1.6861044025100915,1.269929269020522,1.083418711775925,1.1217555905016519,1.291896938327057,1.1745353057708758,1.1505761856565444,1.168280383253632,1.140435543190497,1.1253577634796224,1.0000049569144958,0.9777813066974771,1.0825130188824776,1.071675006361737,0.989444431097927,1.0965942064537944,1.1680307929126843,1.0568055893237225,1.0418167280763093,1.1279283855472844,1.1444921246209432,1.1090829579652857,1.2242535096049152,1.3146316333787755,1.3636779757767359,1.3507695656056966,1.4533479105219738,1.3298500144359802,1.3554551094219875,1.5518678513852346,1.6245410955173627,1.7369032068617876,1.4129659860061135,1.3308026967749393,1.2959666759270965,1.3101391807990819,1.4171943370484745,1.4673713616739146,1.3866249263258534,1.354670230588429,1.6056263098261225,1.6047127050770995,1.4109380155295705,1.5448781374942078,1.9277059893782356,1.703709156583581,1.5479469228991911,1.2962628081815915,1.2015738867537071,1.1809264957654548,1.1697205268400377,1.0866723678216708,1.0995799132410917,1.0513175920258395,1.0291093734278627,1.067518447758797,1.0160330256031396,1.0184764983337045,1.0181586657110921,1.0209565433489112,1.0604174251962464,1.022467745769715,1.0824012730308366,1.105971654120198,1.2034573897293512,1.1372137399743925,1.1719329981622209,1.1563215827184292,1.1486800670734787,1.105184859366368,1.1563997779367798,1.2570503438830258,1.175399286902126,1.1853834608831637,1.3076577385930837,1.3104591909201992,1.278025843421856,1.4322256110098588,1.6357834393814827,1.4462092826351194,1.5595944880866854,1.7842282789460997,1.8787274837952523,1.7125534174398906,1.6505895614284152,1.9863412863922485,1.8507503093633917,1.715364844849388,1.4081112262113475,1.2459556703006571,1.179568404649668,1.2605066799385207,1.2838461639869179,1.542754528468515,1.6091837768948842,1.4560534280443374,1.0167448169417543,1.0482548245221075,0.9502451379339172,1.0509084093636634,0.9494583007438112,0.9340330713659545,0.9724233837450196,0.9598181702099041,0.9868633585135523,1.027320829808599,0.9193071668750535,1.012897889151068,1.185101390334845,0.9629381618108455,1.3290631401689743,1.3454668852116738,1.7010528959609754],[0.9204645435673817,0.8549917555262859,1.082578675600699,0.7103678928985053,0.8858220252811789,0.7909456718158905,0.8255264268011361,0.8623556181740057,0.9719149769719548,1.0232674902822865,1.0849657903632879,1.0541227531668487,1.0706319202499797,1.1642211164530432,1.4260878212773465,1.2938003021738715,1.2689211661925677,1.413281878844949,1.557208370756913,1.4945638405383117,1.664000260513588,1.6483923542656924,1.9204296009603121,1.9061098128617542,1.7052043525748808,1.6260627403845591,1.4236011662630046,1.3436851287608054,1.3241283296502444,1.2087693739319916,1.462989907207725,1.2073601806421965,1.357548470931924,1.4061366141945542,1.31504967600826,1.3559224418047193,1.20985257315928,1.2773330094595288,1.2234526881945866,1.2587170935603949,1.3927744853166575,1.4345547076487206,1.487919375995106,1.8227492880577354,2.1604526062596103,2.409936066532642,2.84023552735666,2.036974481147276,2.057388213591313,2.2894666889887643,2.097716676265835,2.8460247218234946,2.5534884483237295,2.123728108710024,2.168137881624789,2.3196752107882603,2.532371072314355,2.009377851225879,2.1748895986800867,2.539034575272039,2.2083237699631293,1.939204570676844,1.679192799788728,1.7916831827306794,1.9008405949130194,1.6948714532256937,1.7247392602345124,1.6051176215948886,1.7422725665648795,1.7213696529949516,1.7495778571869827,1.92613841365021,1.778464698803233,1.8997314187715406,1.623042215179294,1.9506963718547163,1.6260640881683976,1.586904531210433,1.4909503861702533,1.4855037605041674,1.2936654837330446,1.239111395100616,1.2915642759534445,1.1554812534262924,1.141983167684919,1.152599497314893,1.2669850032893113,1.2749762308837893,1.3893001488836763,1.4198967041396138,1.5061074827813048,1.8444995064532783,1.7914420965901827,1.5515632138115851,1.4246339535194292,1.5330070894591088,1.4076325659614004,1.2956062212246005,1.1687714905989603,1.1559925551689136,1.1015347309460295,0.9825964212873584,0.9654557452819795,0.8864981663423966,0.9619227025069288,0.8349655457343883,0.8256566890306138,1.0156319916605323,0.9697445475078967,0.8685726408987795,0.7794824360995782,0.8157603521729093,0.8596362429360717,0.9069928293360005,1.0408346157218955,1.0967313876745497,1.2429118894709261,1.477690245321197,1.6925519934382827,1.4276252381306271,1.4083631860684556,1.2725778167470372,1.2175605137840213,1.0386716422180844,0.9040632057265564,0.9027426060621995,0.7773195504995116,0.8219657095885666,0.777646730044914,0.8968023508255096,0.9667913192178826,0.9003860843987509,0.8894489540037221,0.8608102539254804,0.8695850471320893,0.8883909760852264,0.866231512527676,1.126434279441281,0.8613246301224408,1.1331137518496168,1.3099629790002696,2.470671135224444,1.5456717413514,1.1802027138720435,1.2147870103621787,1.1279646622198929,1.0370858359669926,1.019868686858645,0.9315091422318896,0.898066013278033,0.8773464407941074,0.9331518201855479,0.9561003358280824,1.5066107132141755,1.448173121440455,0.9878919334697079,1.0072376440705306,0.8917075106690362,0.9734961569005722,0.9100936010495072,0.9190380794954549,1.0215606141412128,1.0427221060599792,1.1199312470242728,1.080034474651837,1.109360032959937,1.103601094082449,1.3900530738780548,1.3854593289544808,1.0898609134511965,0.9547118248415791,0.8994826418844236,0.9297320124741456,0.909812895516751,0.9412422563343679,0.9279210569184717,1.0190844317987204,0.9895515974602198,0.9757908705133765,0.9123703298979673,0.9859566110755246,0.8507469342576296,0.8675625710709753,0.9507627064614532,0.9820087047028575,1.1612921306681314,1.266970685469973,1.6278522885646591,2.218698716943664,1.9656267725820806,1.775864637033835,1.897178823780462,1.3386740587462211,1.1419010326233012,1.2198767654098153,1.4271802728723255,1.267505537293289,1.220650801159236,1.2118623040576277,1.1467160317032212,1.110679301984699,0.9450902233177837,0.9179940763503196,1.0241001653143287,0.9940723376007317,0.8828216808387958,0.9827558564865515,1.0732446244115366,0.9379789536715515,0.9106484387458135,1.0265891622843684,1.0440069809878578,0.9899850805573502,1.1220750636755863,1.2237931347024782,1.2729824648084354,1.300829180907161,1.4562929779992524,1.312640482233679,1.3256847479208633,1.542522371861363,1.6273470806280255,1.7629904749339613,1.4195189577513345,1.3300694212650677,1.304844631343179,1.2828275211703875,1.4359455173667528,1.487099737658033,1.3907121818034194,1.380503301311927,1.675323808015469,1.659713216544872,1.4529449724711458,1.6222517253374555,1.9785435004462437,1.7661265467306462,1.6256670546002863,1.325986129602804,1.2345475401840817,1.210426784869694,1.1563350170840008,1.0631071161432764,1.0529576648829617,0.9879105546144508,0.9776755425728123,1.0054321465826568,0.9157174936021909,0.9290584253698607,0.9063873335513333,0.901023055735123,0.9486320070009763,0.9054796413841535,0.9595411981509844,0.9818388093722701,1.1033211801929999,1.0144856550739931,1.0555214982704029,1.052813948786393,1.0642079042848391,1.0299261291136295,1.1193263626509828,1.2022169333091846,1.1061770669892161,1.1653489168209685,1.2985905692030808,1.2997463647836027,1.261168697372942,1.461928069450454,1.6912945285189256,1.4801172598090095,1.590280358654934,1.863837804638896,1.9712756694071267,1.7867287915545231,1.6687524456399845,2.1128390098500733,1.9330344272166478,1.7330304872251927,1.370884411586697,1.1885855964282166,1.0499430837333534,1.16670783345394,1.2525687886368169,1.5564561656259992,1.6700594269559688,1.5486721092156912,0.9373464274716046,1.0297163892476868,0.8218578069970452,0.9226340270962473,0.8326643195270181,0.8002050557664303,0.8734655106933432,0.815193610281012,0.851352918813545,0.8898659071222521,0.7831947436212192,0.9098375998258398,1.060383226500592,0.9338610087626141,1.3370257819404314,1.3742171143733988,1.6785493292289624],[0.9275718489780466,0.963938022474911,1.1918678888083876,0.8120463008722187,0.8809899716959028,0.8452825950368623,0.8659244016129807,0.8912830284115075,1.0027370052602718,1.0117102116410206,1.0693886687623761,1.0563795421285587,1.0356373014665823,1.1150454185193779,1.3170321651865773,1.1965352545793086,1.1737070765462143,1.246921500297263,1.3516121293482841,1.2923654490016354,1.4209399692900688,1.4208229512791701,1.6738975575105228,1.7172885203085662,1.4858965262945514,1.412232267038303,1.249191131442332,1.1666986844672471,1.169178116796844,1.104181149879147,1.3196231576369595,1.1166073917213841,1.255328089155896,1.2764741852423636,1.1848808063696463,1.2091579141626974,1.097581357735563,1.0855562155537997,1.0710041359919629,1.113945722984575,1.2557730741160371,1.251845672467,1.2963047970981096,1.5718192881789153,1.9431604524430826,2.166174283246934,2.5959859718390206,1.7585868177869142,1.8416609879098078,2.001116581424526,1.800660739489234,2.5641829836425805,2.2956169221760248,1.8680406616790517,1.957851525055773,2.0550179279125538,2.2753011090623834,1.7856752872043797,1.9969273730175823,2.2241439780297827,1.957408169934978,1.6885299889415846,1.4463957909063796,1.5131877634663868,1.6851814677906756,1.4700890340140906,1.4849573856816112,1.4002240624900564,1.541689387302145,1.5370208575027489,1.5698243464933468,1.7359170073254477,1.6067535702867015,1.684943870872757,1.4199003089460953,1.7239925019390285,1.4247421123476245,1.3963462547254628,1.318878846824953,1.290928295970412,1.138538141615559,1.114411217576829,1.190366217985619,1.0233788360849407,1.0221009020040581,1.014451857136964,1.122216290740136,1.185711097151417,1.226983904950104,1.2569998590944593,1.3417046309901453,1.6656818108356013,1.6163309531847156,1.4124872558619537,1.3114955240724044,1.429857114372335,1.3289035196434809,1.2083805648531936,1.1103311423369306,1.1367097032171094,1.0520931922613248,0.9765876730691324,0.9395062224378294,0.8841601901876431,0.8994405180528031,0.8454870889103921,0.8528227825481148,1.0341513277862942,0.9792524605935466,0.8794755164345364,0.7986693239721822,0.8081707044857166,0.8594821916496354,0.8705141078412265,0.9999009090348527,1.0100653487689866,1.1150392816067807,1.282445024731299,1.485723243047275,1.2600725521029674,1.2793452955026585,1.1812036610755827,1.1206813908082056,0.9997833325628385,0.9103474011566125,0.8950157026464751,0.8006651638382946,0.8201267800324973,0.7869889160381199,0.8831875079107006,0.9533056688473545,0.8916032480429363,0.8531081434705969,0.8272530761408721,0.8111890347798366,0.8538377150626311,0.8209387753916918,1.0308727628187504,0.7709808256995375,0.9602812829519992,1.1254182886821689,2.449771356707069,1.3461686936841721,0.9856225992124918,1.008152999153192,0.9685190637833131,0.9211652405473447,0.9392543585670526,0.8911280628487878,0.9092514931467186,0.8857914468133402,0.9811241805497531,1.0350882456464687,1.5567348791159585,1.4961031485372214,0.9922290168527743,0.9931508404329539,0.9073977690277807,0.9450569632730534,0.8886757560259723,0.844517596229707,0.9182789356108788,0.9160320519302007,0.9708062824040276,0.958174004679717,0.9555153357124232,0.9669744502496731,1.2652841746899597,1.3181667324576232,1.0239340496867875,0.8724705625919701,0.8142338022615195,0.8471120648826774,0.8322754394083028,0.8694037205073213,0.8817803191668719,0.9605540355388393,0.9372268269531417,0.9006492713714326,0.842639716346391,0.8821857739542068,0.8002394963164268,0.8083175345206408,0.849823568669678,0.8822286812090525,1.0834397646488,1.1771027727092525,1.5198867561159943,2.151628166263143,1.860441527376483,1.675406484438103,1.8073945147782289,1.302510404415622,1.1134850570479422,1.1868863522622402,1.3554068280354852,1.2112264796584236,1.179673408844461,1.143361474643361,1.1277447986582718,1.0393439995668012,0.9202914900145163,0.9077735503518168,0.9806422349949495,0.9525379130418172,0.8912790901712304,0.9928310282386935,1.0283869892647943,0.9428510217627204,0.9518359447997108,1.0253347751703217,1.0347142711132857,1.029927145473177,1.1122873519761896,1.1915135493770925,1.2084383816465722,1.2356870627029166,1.3156865428780753,1.2003720942100886,1.2095818193663472,1.360469941934034,1.5039438519927337,1.5648601079761724,1.4378511323294525,1.2028857505986383,1.149398467080688,1.179416530104724,1.2683881096158718,1.3165750157864005,1.2491263707387572,1.2499841861199403,1.4916405592943993,1.4998500285187768,1.3101052829203805,1.458137328056354,1.7771042970005635,1.6079163842365365,1.5013207280955634,1.2154484079049637,1.178052361942507,1.12662779235789,1.0810515403168999,1.0165910036793167,0.9998998147349163,0.9590822877376155,0.9367314060118299,0.9496533469062876,0.8982150067951578,0.8992273294554908,0.8954001133004955,0.92265113835619,1.0026674522013153,0.9356908120453689,0.967431311991673,1.035602432581296,1.1385860331400297,1.033501078604294,1.0509134417991846,1.027716783755134,1.0111685950749913,0.9810348613312421,1.0199420060149975,1.092206392759478,1.025320882971038,1.05006842733988,1.1596110989051334,1.1788794335718165,1.1518978555545936,1.302756661896608,1.5503402931867107,1.3452626788191835,1.4401436885758714,1.6774117625901759,1.801816210450721,1.629816847883345,1.566348666473138,1.92005092969585,1.8212607770226907,1.6057877758046741,1.3023033121054486,1.1331637431689587,1.0571631761643805,1.1315431836450967,1.2353702958593007,1.5342282907665987,1.73239910684146,1.5116401909058788,0.9498251196164114,1.0162957513832576,0.8264449783951106,0.9096057008637095,0.8517723812977835,0.8376102619864532,0.9063615063269782,0.8585935719454437,0.9096144415729057,0.9483544642196132,0.8522863566226697,0.9641535885866945,1.109357636530265,1.0004398509373764,1.3466507849123521,1.4384095241939887,1.73451379279929],[0.8778614364265591,0.7947124528945855,1.0374348538278861,0.6234376743430413,0.8250430017685517,0.7211616674930578,0.7371407180714789,0.749237946889424,0.825407536962873,0.8376630185915079,0.8784661346599113,0.8494908606020083,0.8787150410397043,0.9456229897523841,1.1617594646260694,1.037410615737961,1.038780295087394,1.0990672832364905,1.2208940949651654,1.1607622937397604,1.2972551530605996,1.3183221764366309,1.5677661298598355,1.6209078434614672,1.4114940141912005,1.3063558795295234,1.1424120654987315,1.0557677659122398,1.0410682593701375,0.9613566437774129,1.1616432537734362,0.958476014252806,1.0777431721402337,1.0858262845600057,1.0202151265281765,1.0572771621866055,0.9520270174054827,0.9796402679528526,0.9740970811324131,1.0574415665999752,1.1965496352365843,1.163687851840559,1.1951023338449938,1.5207203625315944,1.8468458928441005,2.0245972386165962,2.454697935718082,1.6508401721991421,1.7632891786226872,1.9140002684494228,1.753738402071821,2.5656037764152773,2.3458906340491827,1.9741371029659909,2.054235507767694,2.092883631477494,2.294775328963216,1.801398469698163,2.0195396727602657,2.2280014594424125,1.904663797895296,1.536236395611703,1.3631872977380428,1.3245663362485833,1.489371891759569,1.3708114199713577,1.3283248382245403,1.232007330868147,1.3633364143473545,1.3601112597232794,1.3793578770826624,1.5356962925012556,1.3997134163565306,1.4752784619015888,1.2281302740166269,1.5808994842437956,1.2487614788910908,1.2124557740750819,1.1602735769043968,1.1260590256607785,0.994981691193164,1.0332799166606237,1.0701132419809056,0.9117665648883367,0.9208693566492931,0.905352824067958,1.0224073975864307,1.0339502034481527,1.0691087797072283,1.096930056444157,1.162692852508736,1.4859435028317427,1.4610283813805338,1.2346058511291234,1.143083317113027,1.2344125008524434,1.1786136093473105,1.03979558176493,0.9295492013625398,0.9680320770944216,0.8922691566678179,0.8443160758791853,0.7952583693727434,0.7756219413306088,0.8200467370237122,0.7743405620053613,0.7562288168244173,0.9448488073618084,0.8977418890971474,0.7914346094550595,0.7110913185825173,0.7026051044617242,0.7386941179891108,0.7670742533533368,0.8871498882494293,0.9152808096694364,1.0054974487932231,1.3523899835112763,1.3892827755674098,1.1249145215096064,1.1393187626836836,1.057640697288959,1.0481577645314235,0.8767617836879513,0.7503332316250634,0.7793450859495336,0.7098052112137891,0.7286590381740331,0.7010667366383552,0.7659481586907662,0.8773963107462371,0.8190483974004125,0.7754205292176839,0.722749850567929,0.7220701858936519,0.7503633345926021,0.7553234862814198,0.9728742460142863,0.6974487369297984,0.9382708417942126,1.0912707763839524,2.321955467960524,1.2479449815756816,0.9066901604832647,0.9251306334705857,0.8809612577996055,0.8362862833609057,0.8529439114640448,0.7693077929543609,0.772964387949278,0.763434315975244,0.8185587739294541,0.8557945183025344,1.4452071810620788,1.3605502706693475,0.839986718144545,0.8422011489512404,0.7720651216783588,0.8129942481594692,0.7780318411386092,0.7481442005762122,0.8192392969824777,0.8462612775049148,0.9131006226964811,0.8965476609414627,0.9502781974215506,0.9474215422877086,1.2795682612828416,1.3353109513684467,1.002908909992508,0.8152234383426078,0.7311501231011934,0.7564938925549092,0.7355211998155448,0.7554353805956365,0.7600005879989661,0.8172711756492925,0.806315402619202,0.7764559975188393,0.7299028182345003,0.7856450024762485,0.7074784819516109,0.7287702846314327,0.7819219581566778,0.8140627634233731,1.0235163908220812,1.1413592966056394,1.483671976408964,2.1377542044546365,1.7710037947087067,1.626293029587915,1.682346890227811,1.2564144057450954,1.0708405446033629,1.1424104512522766,1.3158443560151196,1.1716666302835168,1.1396730447017107,1.117064904854158,1.0835683373483584,1.0263775509127986,0.8815510892695314,0.861544391481868,0.9608369662292109,0.9301203228299759,0.837879834819699,0.9505577264741331,1.0100476036015915,0.8872487601372612,0.8742244273385246,0.9681578461021491,0.9751881541223454,0.9447400517320993,1.054542257261711,1.1386741931217264,1.1730648011450806,1.196153195473441,1.3099838546020557,1.1914398842986729,1.1969639037887396,1.3779787886536914,1.5023201681917648,1.5990275175013429,1.3722045663413345,1.1938903052602856,1.157648451615282,1.1825468582803877,1.2828943388747935,1.3272050520461236,1.2576647524514244,1.2520040778849262,1.4981167706751424,1.5043594379668617,1.3203398674090479,1.4569719255427331,1.7804187426989482,1.6128535846875673,1.4904999417521432,1.2178693318168274,1.1504589278860275,1.1120513688058895,1.0683202752393253,0.9986636461157913,0.9848552104591791,0.9309489805120527,0.9103417829655592,0.9240811603670076,0.8587036944910258,0.867339524883672,0.8533098515922999,0.85335501395624,0.9103848645384204,0.8566260508159543,0.9052521109710541,0.9420118481520637,1.0605654605586985,0.9530002011840525,0.9820661147891276,0.9826674255102148,0.9787678597752562,0.9523410501256295,1.0115533049553085,1.082047274418558,1.0149322136750065,1.0520281771365163,1.1591221710106403,1.1727771602713497,1.1519508174837156,1.306323535128608,1.5437817363901813,1.343904373204446,1.4426679683674926,1.6670667011791034,1.7921149706610777,1.6212248437568668,1.5651835748446685,1.9321269830558225,1.8482192096470773,1.6027925530744056,1.2839248202351758,1.1075837105843933,1.004838936825073,1.1029991266380361,1.2018799856809375,1.520847258832906,1.6859392735748142,1.483706355922726,0.8995703050858378,0.9718973431707381,0.7837537057745059,0.881831937095808,0.7829725446334237,0.7586440212836794,0.815536786532169,0.7738166724601654,0.804498723694094,0.8336045457072115,0.7270803621987907,0.8503877471655885,1.001397809020016,0.7806457985140061,1.29876678176545,1.281664700501526,1.6855816356766067],[0.973691692625686,0.7907576339172432,1.0103523971807087,0.5658653765716044,0.8613490079589435,0.635757068582823,0.6381201808888269,0.6566340766883222,0.7315183669092167,0.772634911033578,0.8176905596444564,0.7815398367018355,0.8521271874652361,0.9352079757154095,1.25632463442721,1.0990064265830273,1.1030863408904623,1.234161868399411,1.3877420392073274,1.3266528794955519,1.4971966124692673,1.4933349735857515,1.7959392753622572,1.79925090549339,1.5962112418549281,1.485909600230919,1.3015908956732845,1.1729015682411001,1.1589661938963989,1.0313815442828624,1.2838753655847006,1.0167404004798917,1.1541176441791297,1.209085210175775,1.1304564436839273,1.1714808534035661,1.044106859675233,1.1139040576336985,1.0728265902558731,1.1542649014974609,1.2900990674687123,1.313993102785464,1.3674079241497605,1.7627453480351463,2.091349798871232,2.3082345528790005,2.8048685537852767,1.952371539028981,1.9152845156698843,2.1889823173688847,1.988533231995853,2.7683548321333284,2.5146585574047444,2.1015145461021176,2.1980515150088666,2.2948398373479866,2.488773492816665,2.0165135134392917,2.1884230641650895,2.4850858867309267,2.1310318123867487,1.7638562715793442,1.526304760506294,1.5601863509436253,1.7266574384937121,1.548436699137536,1.5276280911145854,1.4255128505291237,1.5595042883759973,1.5379752438451095,1.5459629435599975,1.746197166543877,1.580787592169307,1.7021404854414603,1.4210028805603505,1.7827737256007221,1.4550675916861682,1.4092917043404523,1.3262937629912903,1.317181282420999,1.1281271972748472,1.123571767857775,1.0857269176345699,1.0246059164121044,0.999480911627982,0.9959686619859202,1.1363170322521534,1.1146273957400272,1.2044837280435106,1.2329070861063591,1.3263634138273288,1.6743824221958883,1.639245325823525,1.383752266900545,1.2516000180509512,1.3312363191371572,1.253422135485891,1.099399577966252,0.9347819851302519,0.9199254199650229,0.8960888267465678,0.7896857490341878,0.7700966774344749,0.71891050658017,0.8318602918063933,0.6907890857708481,0.6847095734964675,0.9038639298062167,0.8606865873267616,0.7425193487202674,0.6460535158144869,0.6420396649382956,0.6789044833051631,0.7195737671242464,0.8488297798021583,0.9254086464238619,1.073641300094283,1.3782963243448099,1.5453213609186158,1.2473239059769794,1.2174089836162456,1.1033546184293328,1.0600485244158269,0.8335207173318196,0.6571081867731332,0.7102908116309574,0.6312804389800404,0.6623744997779972,0.6543650102539132,0.751202319748093,0.8804973152867218,0.8136664665177037,0.7803142224066549,0.7114908244257961,0.7181478421822407,0.7214364748244309,0.7842954680324471,1.0060788561109277,0.6729757073367645,0.9781998196746384,1.187658411759076,2.2746064581044867,1.3451611054838128,0.9655524924315917,0.9941104382885099,0.9387218248665528,0.8539372890609969,0.8498829080787149,0.735677265841765,0.7189720092216514,0.6968189103934693,0.7289899017203862,0.7476205800101723,1.3427127702143287,1.2855866105513487,0.7781771199193677,0.7924415132289454,0.7205308599506046,0.7717233259435509,0.7245972051908274,0.7419328897627528,0.8480588000794061,0.8724822832512583,0.9779295478613365,0.9089228784517129,0.9371077176909355,0.9216686522876667,1.220893447310825,1.2486662976047656,0.9137498147705553,0.7828372842134016,0.714736070002563,0.7497669647724517,0.7364622117026676,0.7668916473998749,0.7564651547992379,0.8130639477656868,0.795173655425598,0.8081759522040736,0.738976227861049,0.8264353459185351,0.6836911131111421,0.7296665112153509,0.7933757190907249,0.820710055895348,1.0455172338490584,1.182117317640803,1.5643103609106,2.130699849625666,1.8369855327614624,1.722391717471271,1.8001531247652016,1.3021494682570864,1.0845819158586938,1.1570745504198772,1.397986104614095,1.2488789008933578,1.2192950085976402,1.218785508750218,1.1156717124456608,1.1073450541384933,0.9050115157885216,0.8617650596293716,1.0188421972615593,0.9792969732021539,0.8354140342453271,0.9729413414768893,1.063225190186051,0.8982775496734471,0.8712693970377702,0.997578197804624,1.0066939224003495,0.9402923836303303,1.0687902619796383,1.175294333756054,1.2157038270779916,1.279858433794241,1.4610613074618672,1.312547781751078,1.319147917468513,1.5333556897723166,1.6313228077171953,1.7847538187196437,1.4084254366347029,1.3209196487225086,1.2913775358399406,1.2792329816701509,1.4432436486545466,1.4890761933190295,1.404859022531561,1.3878634362239781,1.7041429904532577,1.6745574419419311,1.4674326138019766,1.657805183602048,1.9651880549100615,1.796382621005619,1.633869054758477,1.3418671370440574,1.2365666175635843,1.211655375932799,1.1521761637002024,1.0421872815436817,1.02237491358674,0.9361902506425223,0.9317731939564939,0.9479589141624958,0.8433186047908883,0.8522769893267118,0.8456062623652367,0.8169354413145337,0.8549587199066089,0.8289202993303703,0.9014135285273437,0.9203274591395998,1.0437055781389164,0.955570047314827,0.9976060375372885,1.0347954192822997,1.0458463418497546,1.0097703249754164,1.10164214791954,1.1817083798952397,1.1005369504218054,1.1621842200968326,1.3018537059747908,1.3101819012461609,1.2848511531961524,1.4634046367072138,1.7000211172752042,1.5010444583073315,1.5943105097369212,1.8795127692142013,1.9769412246473832,1.8187901183312791,1.7128497413562853,2.1750330163502984,2.042878410608064,1.759584082543438,1.3864060597388954,1.18226029446185,1.0211141571825275,1.1672561251022475,1.2450666140469087,1.5815257777361982,1.694905476879263,1.5871922441036905,0.9196900656064263,1.0003677842617509,0.7628243295755716,0.9059401261002175,0.7213152960879471,0.6935357181263058,0.720411625742339,0.6773448923479205,0.7299075699721337,0.7261594888985496,0.6637730836993777,0.8090052861950638,0.9040127714914576,0.694078027593032,1.4584742582708723,1.4481653581492642,1.8045847697292052],[0.8082641850255073,0.8207282986719067,1.0893683285651994,0.6570844455507975,0.758263519339936,0.6704138274264887,0.7351832884308436,0.7942864144547769,0.9172831452673424,0.9682355275383452,1.0328333819343989,1.0043170663449121,1.028081571343098,1.1239288967646954,1.4085541097351018,1.2606441193358968,1.245735802084338,1.3558737769600406,1.4705889268970185,1.402282241238679,1.550719800067659,1.531874395556157,1.7934424923450585,1.8076979876576909,1.5818082473255217,1.5154634497364177,1.345755608704019,1.2555870490600114,1.2638759612365884,1.1810130481319796,1.442387504148858,1.188096484480403,1.3533848963979316,1.3872028911020111,1.2952425148151332,1.3126638142552651,1.1847811974716873,1.2273003788483101,1.1490372918303284,1.1948393610955923,1.3378458834297962,1.3571481181524936,1.3981836448186822,1.7464552686672865,2.1127834074300127,2.362576953383037,2.8250250034841518,1.9593513272898935,1.974695407139087,2.1778032350886116,1.9699456461056786,2.7373073873948877,2.4380836534675296,1.9739996799262836,2.063480928627917,2.232194593943885,2.4513698418608345,1.9380004734640635,2.1346773653093836,2.446837329493282,2.136395830631411,1.8277822818620886,1.5748176292027982,1.628149989143903,1.811672297530242,1.5966322990554414,1.6091902408408907,1.533891669768404,1.650896539905616,1.6622647386162277,1.6852165888420125,1.8883424030270621,1.728877266113398,1.8029654039540097,1.5609699341203342,1.9087583872315907,1.5696002390875778,1.5526871625487344,1.44898597676541,1.4093400251140602,1.2451871583677803,1.2117867747102646,1.2003877575493211,1.078828531020986,1.0658755810141023,1.0810602428871858,1.2401737976958878,1.2568022380167572,1.3318148380431576,1.3847048894917329,1.4782335050946172,1.8104025276218947,1.7915581242811032,1.5546165003100096,1.4215062471838935,1.5184881013765792,1.4391679883222697,1.2831156655315552,1.1369150518599123,1.1204201298143026,1.0758518061019557,0.938125147312829,0.9257534183521756,0.8418961117077709,0.8763323084902491,0.7755549316334106,0.7631327184736479,0.9829269922707689,0.8826794976421598,0.7468623599320283,0.6518867206457756,0.7243602283167189,0.7742346937852306,0.8100321616560906,0.9922705306355284,1.0320665313555897,1.1789942064154666,1.3397303493101937,1.609681053033398,1.3572487699168578,1.348310749553253,1.2408771947250747,1.1625383111599268,0.9712533655767328,0.8171514981956675,0.7967685149551937,0.6550696034067288,0.7093970210554074,0.6895680277863275,0.8217308849701896,0.9242710297200036,0.8609255693015475,0.838617347205359,0.785017197898349,0.793619600135762,0.8003145410310988,0.8271856271198468,0.9769356566643458,0.7119664989627578,0.9223332964853288,1.0530222831292866,2.3575218448245283,1.383662296248689,1.016926661593576,1.0671560342976056,1.0320443593579245,0.9608665963807921,0.9622582782802898,0.8623750603412792,0.8655564152026454,0.81158034632279,0.8859301391579703,0.9075197756160122,1.4880376700362319,1.4704980226847948,0.9406593326880656,0.9511658951432838,0.8783933277870748,0.9368421004722476,0.8332155910460926,0.826882267570322,0.9600267288714263,0.9460082308377318,1.0221388666974,0.9596527716669597,0.944323870247614,0.9517031764141974,1.2275923558270057,1.2363005739422899,0.961998204913881,0.8445427576126824,0.7933034131675798,0.8321855868334823,0.8228842880453643,0.8780695331119234,0.8813857230764812,0.937430490375134,0.9192344684318676,0.9342391012049873,0.8525028555358225,0.9036689117668337,0.7710423801071948,0.7943948225119449,0.8521430463988844,0.8818577448465985,1.104491014885218,1.2159617089794228,1.5782548084024777,2.149849673902957,1.9185618548915278,1.7414514151431173,1.945096174257109,1.3476066305805836,1.1436717141454202,1.2212304337312907,1.4304961579993782,1.2683754016118662,1.2255943214377738,1.1644120769658772,1.0922895768882523,1.0176499692874643,0.8371002450498366,0.8052968171610168,0.9092337992350046,0.8552805491207273,0.7483709897593076,0.852783036959837,0.9117696409713327,0.771640811465693,0.7724362433222531,0.872499006968759,0.871263065352508,0.8491098402960128,0.9527097757954752,1.0326438553109485,1.0601483537036356,1.1193667110346308,1.2811951624790694,1.1443852445427198,1.1252360281591942,1.321432401539648,1.4691977776226997,1.5748966143814893,1.3534075778003112,1.16536002542585,1.1309594135433614,1.154511111465829,1.2898665038199237,1.3206385187656369,1.2517219727006457,1.2656708380486414,1.5692292072831193,1.5467346292968613,1.35958549576435,1.563590933881823,1.8299200314714523,1.6762217106041426,1.5839762821707217,1.2498446795912292,1.2044253201225217,1.1526372096404014,1.0679268436308191,1.0099247620108036,0.9520864168609202,0.9049901064737509,0.8795384379034041,0.8450271680301807,0.8055780376411287,0.8040034957379306,0.7673400842859728,0.7696896301720992,0.8696224778283806,0.7717895762573322,0.7920398400974232,0.8506515529322259,0.9813977787169614,0.8300218703674227,0.8443802767004553,0.8615431949396369,0.8717386407830221,0.8750116147157135,0.9386237307233065,0.9924453055515329,0.9328950549799181,1.0152425286461362,1.1267113173351146,1.142741314078105,1.135332854546971,1.3129543215725106,1.560882888408255,1.365952074480299,1.4515077578826272,1.7252248808852888,1.8610489434685529,1.6913662095879358,1.5929260039567261,2.0584306416217775,1.9666074689001107,1.6146301618641241,1.246724438748979,1.0456585684186883,0.8876447792660069,1.018175907724664,1.1845732466511945,1.5446762181835276,1.7660531410073952,1.6056063131428489,0.8351167767044698,0.963498274489942,0.6885925080669308,0.7966122619395422,0.6817556814110902,0.6709519239261816,0.8096813826131352,0.6731565582531498,0.7326628731046294,0.7504610791914798,0.7249772821354317,0.8158663053104807,0.9153562135694581,0.8234456453462055,1.4208437192212924,1.5133022078047729,1.8313500313420463],[0.8040325520964182,0.8344242964602316,1.0994894774808144,0.6463826928706593,0.7650880607818893,0.6247465465095887,0.6764403937429923,0.7167073040236688,0.801411243402106,0.836469043020167,0.8776886468186318,0.8489675760779465,0.8997947455257652,0.9799248312088564,1.2632135666204334,1.1121981467316182,1.0926684514685616,1.169527917306686,1.2851718812978297,1.2229926613014892,1.3451131154782479,1.3418883918223776,1.5827777828680887,1.6222860067628886,1.40957878174164,1.3421335423920122,1.1785240820098395,1.1122001434384936,1.1091598771272873,1.0309978714599688,1.2515629033589952,1.0349722730762074,1.1728697683747298,1.1931051070277316,1.1155858781975696,1.133610806085598,1.035453252843903,1.0354114508255607,1.0046822566084177,1.0467462449353229,1.1691681703555314,1.164995930659392,1.191629164051631,1.5020686629981532,1.8451548423960367,2.058617355670881,2.444312015968358,1.6664814054555446,1.8196555345059031,1.9335761014822632,1.7519518445614162,2.5500915363585506,2.2636790028808376,1.826211876000267,1.9311716994596828,2.025823504445877,2.245132536422059,1.7400885991913904,1.966236619931725,2.183975710249973,1.8864808104609743,1.5941797790090997,1.3943232883754306,1.3769457396739222,1.5453075643448357,1.409128289455318,1.3914331058341014,1.314997303947157,1.4375273011284393,1.447159783317329,1.4577015662600425,1.6272359730796104,1.483863487564802,1.556179734298701,1.3254066229459671,1.646671392037854,1.3329526440936879,1.3098763006223106,1.2461077984966331,1.2101958631794754,1.0641513331417582,1.048944502106635,1.1207203648237922,0.9549834005265696,0.9518967528486507,0.9603091735107698,1.0614793224129282,1.0995923109493908,1.145184347628698,1.1893042926255488,1.2628395044689824,1.5805810089181709,1.5569454274189571,1.344377921604688,1.2369657505354543,1.3333717632685698,1.2656489934179584,1.1149500898516818,0.9807879184927095,0.9819206033610899,0.9481785549825548,0.8559478714959695,0.8299045427508072,0.7898244957885724,0.8304305065341698,0.7601108009821615,0.7704122980369513,1.0002420647039063,0.9110786349129232,0.762720959472435,0.6498203059458372,0.6911974517707054,0.7238944840685917,0.7629372409472353,0.8960887673974374,0.9366895004778634,1.055683194968823,1.2844132977963787,1.4292364927554229,1.1900802104125188,1.199049633146387,1.1142160736433007,1.0649958164699371,0.8869075633361357,0.741392201914166,0.7769423623451692,0.6440678750706295,0.7183068516961115,0.7135899624621903,0.851009377646877,0.9493628362927536,0.8846766487665986,0.8574389049646424,0.8030157163218886,0.8078154440325779,0.8235545454711822,0.8386632586899941,0.9972018590848603,0.7482038209951222,0.9125918660997359,1.0403033051024217,2.3945155654486756,1.28481985802764,0.934527070697287,0.9732193427015745,0.9161872805125859,0.8647764248298352,0.8787905415862612,0.8007890398872684,0.7812018682878971,0.75088337999857,0.8043429083346844,0.8408421132318026,1.3911305215194096,1.3524368061077772,0.836242321806472,0.8484003485600656,0.7932157819433775,0.8310315479163181,0.7875276139608905,0.7900949173845379,0.8567781518539312,0.8641169464315754,0.9275977392157588,0.9337717832239045,0.9277926985804935,0.9398248517212766,1.2345896264156153,1.2652657198977975,1.0074657157002402,0.8578386056070806,0.7822135359523645,0.8013169769960955,0.7808175310918313,0.8093289277928987,0.8149156621700262,0.865671058733403,0.8506371671848161,0.8496253002412119,0.7936810649527746,0.8383351874891805,0.7439669449949516,0.7677817806669439,0.8323305135302339,0.8719381899596202,1.0437607241219882,1.1103709885638633,1.4601538770906266,2.111050169800927,1.8514766582625182,1.6242495351066681,1.884314098021377,1.295409243445509,1.1315940344718713,1.2306258000885655,1.4117283371603397,1.2589561906019926,1.222759140555887,1.1503138140909566,1.1014048142543897,1.0016972711901373,0.8298579714578197,0.8063478952415127,0.8917555259297538,0.8342981830576096,0.7461352220332138,0.8401666503588383,0.8744803539723662,0.7534821869251895,0.7581121763458993,0.8392854053996293,0.8346584355623354,0.8260739768518947,0.9085798381022823,0.9794311852280683,1.007801414306876,1.044228940750281,1.1866562412159731,1.0756337524995536,1.0412437531002112,1.2081454378418715,1.4113469233128482,1.4509813915427037,1.366139765837386,1.1094196306831439,1.0783149499270992,1.1244614958156403,1.2279741817272924,1.2424779226321923,1.1924017662949005,1.2184889168374804,1.4845775720247665,1.4779188110841874,1.3002417393246324,1.4756757497190003,1.711633998462227,1.5802105925280627,1.5302340247478907,1.2075980357182714,1.1915203786801531,1.1275385162182527,1.050456590234983,0.9884075019608849,0.9348854166359216,0.8799537631538509,0.8644948603512852,0.8266261373831447,0.7877429544073487,0.7893581558450211,0.7582871652968045,0.7624672904138203,0.8559745847473362,0.7594193380289472,0.7763546041285506,0.8348225931961585,0.9710382160314154,0.8048019196967642,0.8170661681491675,0.8273657733309835,0.8391946701627659,0.8530923551569285,0.904036054520906,0.9331010213370273,0.8931876615165071,0.975258711908094,1.0543246508114934,1.0773479138652158,1.0758514610300156,1.2263469227039023,1.4762271821913562,1.2956757784976514,1.359550741378179,1.6032095314770183,1.7711813469752042,1.6056111314417265,1.5366428698396848,1.975696788599452,1.9354099057294891,1.5259103487027799,1.1867519778641944,1.005450013842361,0.8591390810362813,0.9819843444951872,1.1752912097840078,1.5307980205578504,1.8197252207168144,1.607744905549958,0.8591809889598595,0.9750840103570799,0.7114761012177268,0.7924392022003885,0.6735993961787864,0.6573069167943089,0.7916509121387505,0.6513696608890405,0.7119147265032416,0.7085935845418943,0.684715818167596,0.790739557334744,0.8590778259625117,0.717047550262859,1.423993980531798,1.4963434970484026,1.8093423182685813],[0.8276332582744518,0.6986633431736017,1.0364565908977241,0.48611111559057407,0.7369408722255578,0.48687482563426504,0.5536375833090647,0.5934769882621852,0.6647799293747046,0.7271142662166841,0.7661278500607439,0.7411752094576135,0.8226547469125021,0.9076095115769945,1.2466172645843314,1.0744808640852623,1.0974733902864668,1.211395662872689,1.34709927939452,1.2837104644007273,1.4229297439103454,1.4077487743973813,1.6997503429686496,1.6687575366051186,1.5428277918382443,1.432479415430043,1.2795384914729666,1.1575214332582544,1.1493713945543722,1.02303801510927,1.2488463303862063,0.99529859043094,1.1210443491041882,1.1703569630270283,1.1017870448473839,1.142177475545989,1.0335584704736132,1.088119329879065,1.0507834659126796,1.1267268264480357,1.2460634363562584,1.2691954304214879,1.3074517257312677,1.6733244853298261,1.9781657317581336,2.1415655551118538,2.6060907679673213,1.8031956953040416,1.8041106290715114,2.028588321136649,1.855469873111842,2.672162462014231,2.4246556971137414,2.058302241369487,2.173862585160332,2.2364824627635334,2.408257688197215,1.9686726303441044,2.167973623988272,2.3833129769714896,2.044652360086197,1.6475392803691622,1.4935847922750307,1.4317487216942566,1.5953908724063037,1.494375184341183,1.4356232607773523,1.3633248536690639,1.4921796464109207,1.4794353612793159,1.4756390960272947,1.6545102353550598,1.4921014216487438,1.6015631094550642,1.3536010005456156,1.6857994743294016,1.3868073676236239,1.3475055658316382,1.2716900802192845,1.2689210327005134,1.0925668746669372,1.1005987777364383,1.0578648445178818,1.0188749692646828,0.9927714505587217,0.9826247515750072,1.106169710269786,1.0975602571080536,1.1656777071729227,1.194450371174645,1.281111789995495,1.5939456591608037,1.5760202024416436,1.3376712237405346,1.2161388518545324,1.2755730593555947,1.2386369648573394,1.0851517489017561,0.914258951812866,0.8935579168171348,0.8822514955664595,0.746029464945385,0.7562504372263451,0.7023010300414972,0.8102120101650977,0.6469305891300793,0.6457949073321964,0.8943572822156629,0.7958145869494289,0.6424573182325092,0.5224008756868143,0.5759847487407327,0.6330198278199258,0.68978927419038,0.8375214162335084,0.9265829788573826,1.0773035496709105,1.4581645951337496,1.4993044232512684,1.224742438495383,1.1993963456511627,1.0996204626939616,1.0621190824160776,0.8116819118647387,0.6135953882738053,0.6505632397378831,0.5107679437320485,0.571976000454833,0.5767430011528345,0.715540060409591,0.8509627255688941,0.7808479740369482,0.7600468147818396,0.6861881409785611,0.6923802188609272,0.6891713037413115,0.7321131706062084,0.9502678823108767,0.6364375619491168,0.9556028153117058,1.1872403931512736,2.2751128454340104,1.3180516539195044,0.9466419243964703,0.9508990043452342,0.9333926733231609,0.8522731736268025,0.8454879009554421,0.7148408507898472,0.6990402119177086,0.6410194314450991,0.6859817205567736,0.6850961069317884,1.3246600900166325,1.2580113765347642,0.743596510387089,0.7610591785295668,0.6949238102632282,0.7504302459689087,0.6923750463121678,0.7160922515192206,0.8440417867868926,0.8704548946814032,0.9744030447398216,0.8954588333737185,0.9126044021992966,0.8970684890880986,1.1942909180132821,1.2228571192138766,0.9043127585555336,0.7615328206884058,0.6964344702343563,0.739261308867293,0.7231447251800069,0.7608047754138465,0.7434114305272155,0.8044585564698289,0.7853263921128124,0.8067165775276071,0.7411155943542124,0.814143881776229,0.657147061323654,0.7043298366272921,0.762674622538536,0.7925267030118285,1.0216262798796392,1.164927398432163,1.5175971186273904,2.1173725046142593,1.8048202872851133,1.6585026166858843,1.7855305854518921,1.2708458996103473,1.0662250979180352,1.1615127115614805,1.3954059893482402,1.2358682422645304,1.2040723845628147,1.1567734405255539,1.0513192937981233,1.0037094094830115,0.7827015493309429,0.7275922383268281,0.8786035884860783,0.8181557328474341,0.6540275158888441,0.767387671697049,0.8670959727290904,0.6843849173708775,0.6402368296698925,0.7814377379180251,0.7756741076217374,0.6794883456856579,0.8120968162690092,0.9228988092554422,0.955869899083852,1.0597671894512555,1.2745655903960573,1.1315027653225813,1.1116837734266953,1.335150931712781,1.4978384051990468,1.6318211421101807,1.299415651587868,1.1741449264829953,1.163011888871225,1.1807891566723776,1.3257959140438074,1.353004645102732,1.2835900061330143,1.281485696560257,1.5819519398182351,1.5573411231559406,1.3802118282419482,1.60244262283663,1.8425319023606386,1.6961530866792625,1.6040652033526575,1.2601441540292284,1.192502945082334,1.1523702704971883,1.0610875221151481,0.9719601399107644,0.9268729976389967,0.8603970868602139,0.8355317767456532,0.7960948863410583,0.7258929709637991,0.7303538744109512,0.6758383142919295,0.626424075235971,0.7053956340633797,0.6209404600336653,0.6726533144262526,0.6788011964543418,0.8499417086563877,0.6921061638484787,0.7279631912548169,0.791072122701962,0.8193857543313869,0.8310682913769157,0.9335925513273022,0.9848093820616273,0.904641133746937,1.0080916621962308,1.138156263078619,1.1426174821736936,1.1439942715230738,1.337090824186996,1.5517375848481287,1.3809001683520257,1.458365323893287,1.7326840121651057,1.8693976044718656,1.708275606137711,1.6070542452057557,2.1425734244032673,2.0651783196114177,1.6225593803731226,1.189746421004861,1.0017007222400756,0.7778922156146673,0.9302986939017505,1.1175109497860316,1.5119555419206003,1.7406745096282557,1.6278083106869468,0.7544828183476836,0.9176945432898949,0.6006957646661418,0.7400743597061892,0.5582431133774703,0.5059992072983855,0.6608944976011112,0.5081639669851761,0.5316485728866649,0.5411316063906068,0.6202238718857269,0.6589219967992335,0.7100113031184533,0.5935857281275285,1.5621885894534726,1.6083034060877552,1.9141827544827101],[0.8117718307031224,0.7705753920895901,1.1214874390256946,0.5969608048349122,0.7401743635647012,0.5505020012969909,0.6454565707608652,0.7253807443797838,0.8084313498591565,0.8986385440210746,0.9613708046818772,0.9302550839794577,1.0052498990391239,1.0915225465090517,1.4485871661177265,1.2774699801872214,1.2828327486714666,1.4307797898789694,1.5613033182458746,1.4911541127403842,1.6445301293798313,1.608898891758343,1.9068618797463839,1.8596966400070978,1.6871690994570743,1.6121792591558364,1.4452781934820598,1.3340242410067298,1.3388044795915293,1.2229740000915932,1.4815406861595026,1.211836868296106,1.3538157729613072,1.418097514726678,1.3306787602978492,1.3604387894616106,1.2355432310208851,1.2695375933049078,1.2038870206811114,1.2486879829233104,1.3672557842769661,1.426160244223933,1.4700921542769756,1.8581344017176062,2.16931908952801,2.4118839622513657,2.871511946068682,2.055031076294438,2.046325315949118,2.288803289842845,2.0837573671516436,2.857674404166388,2.569188474617995,2.1013698241636316,2.2222097756985315,2.367838813282162,2.546864087903904,2.096696241125911,2.2690557692371893,2.572039192335081,2.2376897581972504,1.9035906679039292,1.6714158653354325,1.6974107857205176,1.865180788641924,1.6890268476828567,1.6815741268811277,1.6226598948460957,1.7507336520290806,1.744259035980537,1.7298559581286412,1.9371677560385325,1.7716910191560629,1.86839069030037,1.630354767542089,1.95474482388544,1.6506298437658515,1.6177135396371995,1.5194116681756191,1.5008638174873985,1.300133348036959,1.2558976967970974,1.2339809436319777,1.1593454358594697,1.1239229954975207,1.1441458854909652,1.2887373829990962,1.2852489460088066,1.3883333225330285,1.4325104578589416,1.5366356330114528,1.868262402645104,1.8433378364261523,1.5979884005510812,1.4507024480210162,1.504472746602821,1.4485993740727603,1.3076652788253815,1.1213415607465147,1.0696620805089823,1.0743491546191724,0.9019610881508011,0.9390465609210774,0.8378528422602487,0.8946757116764987,0.7506168489697252,0.7592766753490888,1.0040360312007401,0.8723397073392143,0.6994235566910624,0.5839567507118055,0.6853713833071301,0.7398050129022418,0.7893897349173518,0.9708229887998392,1.0338074664098422,1.2247363741923143,1.4134242775688326,1.682735313864954,1.42555590941662,1.3759331127743857,1.2512763709657986,1.1515287960986724,0.9232639882436585,0.740004228343916,0.7227620448041617,0.5655736546068224,0.6476696540138211,0.6747705951661375,0.8398866012316684,0.9649656949054314,0.8973542448972324,0.8929453504324758,0.8079574518048186,0.8297388625530182,0.7958081719575352,0.8536621349827127,0.9767532434529758,0.7303706178205294,0.9841020924080073,1.156084873519129,2.2551388157833068,1.4330216331204921,1.0492058938301088,1.0923218730407958,1.079719492838131,0.9781757410712608,0.9787248223834627,0.8500513787347358,0.8398693809681442,0.7678879242597365,0.8476297305299714,0.8455004696743444,1.38823895361075,1.3941468269545232,0.8993800478071362,0.9260186326962371,0.8495696478313307,0.9265548461651346,0.8207383726425096,0.8390771063542785,0.9835433076342648,0.9639411912373338,1.0695584837905419,0.9813052520192999,0.9422475750991207,0.9573129255945496,1.2434841444681997,1.2580517599977101,0.9691673153619983,0.8621776067759482,0.7923525698867814,0.8385124282974392,0.8440226001404639,0.9002380425264297,0.8877675704440781,0.962584572181038,0.9463929847909184,0.963032053686887,0.8912135620050469,0.9357549716746465,0.7808767162080565,0.8288726559572454,0.8779295025871278,0.8994861207640578,1.1135463408925732,1.239985148472116,1.6131578262085837,2.131953455098439,1.929184757038485,1.7643931958571306,1.9933968280613108,1.3961600479659468,1.2136229350346697,1.3158413511184286,1.5469558689428704,1.3721124824594637,1.330870566182994,1.2431422942510808,1.121679973178029,1.0635833940834711,0.8291878493347994,0.7620740190470997,0.9074753209549505,0.8363035627327364,0.672260556169226,0.7529469097286431,0.856439924198002,0.6808339761102326,0.646851754827317,0.773573202044847,0.7614619214407143,0.6924864232685923,0.8097550206826891,0.9010034166638244,0.9231144095770829,1.0393143234256093,1.2773238870214327,1.1317283721074227,1.1024461759197022,1.3364918364700826,1.510835343759209,1.6551102355675513,1.31886165558294,1.2086706442123651,1.2161451480690073,1.2314538830747637,1.4097209929955308,1.4186406454855003,1.344329447807706,1.3606951068778363,1.6851448415061956,1.636415418083382,1.4810532274733137,1.7481104591756862,1.936746765121807,1.7913269679011896,1.7249540756770445,1.344855458692503,1.2948232752021764,1.2555309139809996,1.132719521297849,1.0455951704947488,0.9849715192053528,0.9142149790151427,0.8926525301779156,0.8314929585770892,0.7676693137380727,0.7504213199498398,0.6991360181864353,0.6545172071400838,0.7506508439487923,0.6420847710423218,0.6673722853205416,0.6913618768645177,0.8667671517394353,0.673762140674585,0.6990970179529576,0.7691941433878591,0.814047551539738,0.8458272305667741,0.9620451454790504,0.9788771267964553,0.9040884218241765,1.0398543240772586,1.1614710539206636,1.1587686198505347,1.1764500594660818,1.3857560724209594,1.5807425310396361,1.4231453523175661,1.5070238150221973,1.8023258790594372,1.9235889712991607,1.7657150423510979,1.6484808356927527,2.228093499652057,2.1307160182737745,1.6423125744970748,1.1818870823499974,1.0034880841076617,0.763608448841328,0.909378081738904,1.1241960992179025,1.5256629539367004,1.7863392356128678,1.7199428640162184,0.7591329760566257,0.9689895337955056,0.608009002902325,0.7375805376954063,0.5769298524501638,0.541174813910362,0.7542509877478079,0.5481682293806462,0.5854152041694376,0.5979017108665253,0.7079997682795809,0.714217531812391,0.7244716830943425,0.7151768386265442,1.6603441362980365,1.8401209142076351,2.0659704257237177],[0.8305360434158908,0.8516303904449186,1.2105867720508847,0.7012594736458255,0.7834642816194853,0.6441518169023351,0.7395338847273443,0.8244951753561114,0.8881962236380924,0.9707663209192582,1.0272697322825857,1.0038079199598942,1.0736187264270025,1.1507871053094243,1.5079085703295467,1.3389133511984812,1.332891042138691,1.4670237717742192,1.5710917880001265,1.4943975643176315,1.6244284005818859,1.579509728590165,1.8468696408349685,1.7944732754987296,1.6287212586278794,1.584049291079679,1.4387409585652362,1.356927202934643,1.3735716520926664,1.2787888660880498,1.53023709278588,1.276048145373929,1.4170753392900537,1.4660129091794023,1.3791756477612338,1.3965107325215405,1.2843849012869635,1.2905292991495279,1.2167916133663779,1.2346684839290416,1.3444673313921451,1.404746975048,1.4323978709685543,1.8011147154690539,2.111012342607987,2.3690026390305925,2.776363953059056,1.9859253383943518,2.0417928271087202,2.221265386860559,2.02306079583918,2.8083191640004577,2.509057629355931,2.018706388856149,2.140820389196163,2.3023835447194143,2.4896652516806728,2.0372294115074787,2.221844190497535,2.510955482633596,2.1935746625789965,1.8746910284727065,1.65440746679599,1.6658107501546955,1.8358444061928543,1.67102915047028,1.6714517772942448,1.6366830785003752,1.7616240197186002,1.7750450091385015,1.752986583659357,1.9477290964164613,1.7907013633217799,1.8669738302970835,1.6517402797973637,1.9613827726603863,1.6570338789226615,1.6339354779132986,1.5335470305251107,1.5020863561739763,1.3202391320607236,1.2635426847139917,1.2878289161320156,1.176271374464387,1.1442917488083015,1.1702110744041987,1.303446017617145,1.3191431533918716,1.4087742433554877,1.4632619074147686,1.567034016544075,1.8946003366594608,1.8838881005482118,1.6494522079827283,1.5072310583357627,1.5552259056989324,1.5080304645541187,1.3817096102815236,1.2018402737040188,1.149905470234751,1.1517321137002752,0.9950887497827025,1.026662930381073,0.9325737748116234,0.9590364298238119,0.8394130603460175,0.8591948923657733,1.1076878498319136,0.9627219708746235,0.7942946977108677,0.6930518496445673,0.7875228134925171,0.8326034482627027,0.8669718675876928,1.0276977061735724,1.0771895462108279,1.262109613090792,1.3946095475217846,1.6925995249725563,1.4569612928819526,1.407330268888751,1.2922560440753623,1.1770041644448292,0.9748242559851771,0.8225049161301007,0.8039156915729689,0.666594222930405,0.7502419241947021,0.7936634140740538,0.9571474239048586,1.068110740951169,1.0035857419552614,0.9994142136617324,0.9158969345319491,0.9433510272611135,0.9090040201628304,0.9517190633863435,1.0165553903327873,0.7954856174212362,0.967435149662953,1.0552861540829148,2.3119876330401787,1.4422888198866899,1.0663025686425012,1.122460449737463,1.1162110841817277,1.0256856382481447,1.0376205297916616,0.9313341358296923,0.9335517209502163,0.8726045239000667,0.9608011725927182,0.9594974466461148,1.4553087260307995,1.4648283077517377,0.9936386914434919,1.0155712614345584,0.9492719626421309,1.0126908799316021,0.911660618208869,0.9206224141558321,1.0352901362597071,1.0037404318253578,1.0895353494094393,1.0095964229287553,0.9754133411401515,1.0002152369153774,1.2675679642810218,1.2850160429027682,1.0526095621585532,0.9575670183241356,0.8929831476604352,0.9164398941367187,0.9211045580154338,0.9689924147513344,0.964319753903578,1.0269443069334367,1.0174301918261202,1.0235073094686993,0.9625600605124319,0.9927288798015622,0.8711378022027567,0.9108646117101046,0.9415882375803488,0.9537081884017296,1.1144973474453908,1.2177736249657811,1.5697781617954942,2.112144143496387,1.9228477180495047,1.7153994024781645,2.0767701651191426,1.4381416780442133,1.2954830631052079,1.4144207452923871,1.6177751907116857,1.442351341613856,1.403299983878184,1.2944529585660007,1.1853670343506173,1.100582737510576,0.8922144849697695,0.8309251806675052,0.9386631546094266,0.8665756433950461,0.7261129664082522,0.7746573883723153,0.8670080395317264,0.7192637044075918,0.6937386352146536,0.7843924470451272,0.7645950957064385,0.7364984774028932,0.8107910816876834,0.8792517259245286,0.8806095931175281,0.9986364319380961,1.2301636275789196,1.1044606256487828,1.0662534014677436,1.2868491409818905,1.5043984887039334,1.60490352869364,1.3461659953841087,1.2029718440685622,1.2236830391495888,1.2467065365791667,1.4137771268020742,1.401280972594997,1.3410157145389665,1.3741542957667476,1.6898637889589907,1.6407320356011266,1.495562891261938,1.7576505292972286,1.893111482962987,1.7713534282250607,1.7605565557030771,1.3665413728710198,1.3503350545085229,1.3086777565899133,1.1782809948722244,1.1049604891960048,1.046138534078722,0.9837100468318187,0.9651291850060411,0.8996534908577692,0.8511263950128675,0.822892125331474,0.7607920286235407,0.7299760915889985,0.829879363253514,0.7018108626615129,0.7138913375360685,0.7428444490722292,0.9071672783073412,0.7025621137777328,0.7153439450084517,0.7727679813846919,0.8261136762777554,0.8782622055149573,0.9783958505088122,0.9595411196738064,0.9075653464833391,1.0529227405923736,1.1394566880567163,1.142312283773838,1.174157438764624,1.362925301547771,1.5519366343620133,1.4169288627791836,1.4768574368512717,1.7513649878750568,1.8841153995460356,1.739112059070538,1.6421476349819795,2.2181141020843547,2.165084323132291,1.610196092285896,1.1582002994097582,1.00353764159492,0.7730643719503373,0.9117273148652179,1.146834184959126,1.5448571488052634,1.8739648851372173,1.8017183902506138,0.8243336969214279,1.0348114577049237,0.6827620404141416,0.7895828714242086,0.6634017129540041,0.6408048629836028,0.8711282320553089,0.6449461573778358,0.6752451654368535,0.6908187520609872,0.8143458079667887,0.7841373775490996,0.7574153374191488,0.813787025944128,1.743815959127382,2.027867710949354,2.1996330310642165],[0.8602407597422147,0.750166647140174,1.116254578238693,0.5543723756611351,0.7823692380338266,0.5280412232123437,0.610430031596916,0.6846339536977641,0.7495947691005952,0.8129864190812681,0.8622340970654494,0.8429214839461027,0.9344908256956641,1.0100214901468854,1.3857376165950301,1.209949557525669,1.2261736260068983,1.3683721859271996,1.4918187902439695,1.42126949976938,1.5495363188644562,1.4993843445035724,1.7885855714921741,1.7284394684441668,1.6320948216304556,1.5468711646778759,1.3944971327809488,1.2853228061847437,1.2888635554787446,1.1576176993411555,1.3958400153881705,1.1376267529770971,1.2631418002942176,1.3216159763914546,1.2478360243230355,1.284586904692269,1.168834169139598,1.2067212510254266,1.146130034695558,1.2032433479328608,1.3066638888864766,1.3605046437834452,1.3861199388640488,1.7701877618203454,2.025723416147072,2.2018958690527617,2.632698519373979,1.8884676792977275,1.9169541104932577,2.107979685606237,1.9521864006777596,2.777230518122964,2.5147671845434676,2.127557562811209,2.247718186260752,2.3299030570629338,2.49907789583002,2.077525532900286,2.2607400281423526,2.499515942568053,2.1485810014769755,1.745787222106922,1.6148890580934554,1.5388811621594825,1.675464953603637,1.615392207781697,1.555768681223517,1.5133939869878472,1.6359092343969213,1.6250447782082496,1.5968999028907715,1.7638503848267109,1.615427820039589,1.7042974462756848,1.5008558101857399,1.8136644372281274,1.5334383284089976,1.4977162916284015,1.4115045344817363,1.3997456228387115,1.2114942113186151,1.1908773437748226,1.1543308804552226,1.114967183177003,1.0748835820740665,1.0923363239343082,1.2195522246192645,1.2136993909010152,1.2995047868705392,1.3421846780253395,1.4405673383895052,1.7410794628708994,1.7390222440159866,1.4911079231238646,1.356103082018463,1.3911764001959759,1.358409532558873,1.2313783650368793,1.0485205100847483,0.9826801177826322,1.0191057196440916,0.8633251523806403,0.8886339441951456,0.8079434178653564,0.8711407674670406,0.7361869368528048,0.7568730386024153,1.0101925638313636,0.8776446564800945,0.6960290127930636,0.5683655279822023,0.6583426897584306,0.7147423559289254,0.7658985844007606,0.9402763425598732,1.020350731277029,1.205090139129487,1.5399581473551882,1.6118702388671318,1.3713923326659936,1.3177275240897879,1.2284529620164053,1.1489122727648706,0.8780905334796534,0.6904043279364598,0.6846991081152449,0.5524351021358138,0.6273399561865356,0.6768040837608496,0.8322844399178267,0.9899450512697283,0.918321367283074,0.8946613873559429,0.7938169448905517,0.8174873313341127,0.7810485151539832,0.8770051539773888,0.9771981483567409,0.7361596066746148,0.9921248489956465,1.2650406431420675,2.213560887316134,1.3833139104967358,1.0297066998786217,1.0316877732374903,1.0412281515212216,0.9525894607336581,0.9540675587283478,0.8182312147884429,0.8077841083011112,0.7382600035580111,0.801145479639759,0.7812176329783936,1.2984208513505253,1.2880751629648475,0.8581344872137535,0.8839090840480922,0.8166454383704222,0.8824260325680876,0.7890343520088382,0.7985388962271743,0.9421841250958775,0.9257767840767429,1.0296518345284278,0.9325189319215228,0.8848843624675748,0.9025745813389137,1.1814787232070667,1.2311158856486346,0.9425771281089996,0.83401958631652,0.7470025348659816,0.7880662966306186,0.7949488801822372,0.8493782920495035,0.835381886832561,0.9091490458427067,0.8906701435288024,0.904880723555442,0.8353483450865213,0.8752988671039678,0.7422447710383453,0.7859228214669063,0.8215987593912589,0.8494701069498602,1.0636083835327765,1.2097845563498268,1.568123169233614,2.1400459967243988,1.8812982400266407,1.6834486384082754,1.9409156435301147,1.3490228318788131,1.1835816844737834,1.3245418823547632,1.5634195421833927,1.4113879451850218,1.38218221222105,1.2904957012399156,1.154922703420441,1.1024484757965174,0.8682261874737865,0.7870684357317956,0.9356586563242371,0.8629104277056665,0.6835845172895957,0.7491340695203068,0.8685470676877514,0.691448222412181,0.6333202868054166,0.7665738355027933,0.7486283260466438,0.6636711546354427,0.7663918111911715,0.8649066540345289,0.8635580772597365,1.0089181691709912,1.2718843186688753,1.1355750289557138,1.1044120091681544,1.3326472107132976,1.5450634098571252,1.678211536793543,1.3202247821398634,1.2284963526082753,1.2539245710997151,1.2659931175259609,1.4436905586106703,1.4401823513029481,1.3724585075365543,1.3898836826350158,1.7007450447530026,1.651847315844072,1.5117118081638896,1.7754272939888918,1.9134823176665154,1.7985942434501463,1.7674345037673578,1.3827608192849472,1.3492495636134907,1.3091083534620442,1.182162472097768,1.1005083153301933,1.0496325729580775,0.9677811844348012,0.939580497001017,0.8654916258861137,0.8054997984764506,0.7716012116326837,0.7245761387414347,0.6585851640768332,0.7409573538132015,0.6280450848455386,0.6681459041734201,0.6625048708541268,0.8556496816251359,0.6521108545065667,0.6832536831156681,0.776526918062852,0.8407361143151783,0.8894067174921532,1.0151280758349601,0.9992631006518348,0.9293671280623085,1.0831665157325616,1.183251677075752,1.177173863144879,1.2078957400446453,1.407736499627211,1.5839911920758847,1.456278531545249,1.517955431541288,1.8012125174876188,1.929967238990269,1.7865595954094142,1.6836347258420878,2.2747149904753488,2.2222326272477004,1.6403990363597942,1.1505139347923024,1.007000371943081,0.740450837444597,0.8650213217427194,1.1017118954684628,1.5279530541086823,1.8227619386397311,1.7961990007221957,0.7595604414794362,1.0012312779077717,0.6189487951640912,0.749435757803102,0.5672253908252559,0.5328222995166021,0.7345229375323009,0.5232463630638764,0.5612863335929054,0.5559566514303517,0.7220792656558405,0.7265697382221933,0.6729839397459616,0.7359573607270058,1.8430851152298058,2.0448788558635393,2.2639618111519355],[0.9043845704959812,0.7373921992698103,1.100758351492713,0.5362407539476317,0.8132950876390838,0.5196962341143639,0.6078584669794319,0.6883956770950221,0.7533244594536317,0.8351308055353861,0.8941023508991458,0.8761686951536382,0.9835727881336273,1.056386161493628,1.465433278327872,1.2997928530602068,1.3207007016190966,1.5130632684078051,1.6805404341333787,1.6264942963190452,1.7994301997663535,1.7615852029433752,2.093003414680063,2.0304767009425118,1.901340778067696,1.7824297377488036,1.6065787040264352,1.4347376740345172,1.4252219152506405,1.2734412354416946,1.528625347099206,1.2482422051567017,1.3784851224610217,1.4728892072522894,1.396713798058747,1.447627950128954,1.3072825185868437,1.3837670073699113,1.3293256757579694,1.4251829064415085,1.5195828872778259,1.5984291238862425,1.6589774510025768,2.0815899337721215,2.344017877326374,2.555606140324587,3.0635465065598413,2.2786543324634456,2.174113120972105,2.505940352836182,2.3063033379969293,3.0572083474398073,2.795757453721826,2.3856131039209902,2.526906985839873,2.61947743227441,2.752796188804856,2.3644621329573714,2.500453261449133,2.7782088060282737,2.4068050112871444,1.9950912982659856,1.8288388546818937,1.8202143847489654,1.9312394471495933,1.8441967059818982,1.799313218985833,1.7228513048820118,1.8412294036683508,1.7879309670891326,1.769446844306117,1.9810751291140374,1.814038385355065,1.934617862091896,1.7032794599511696,2.028365871202361,1.7648987165897936,1.7189165049390032,1.6230976903607972,1.6400979564488316,1.4138702629843123,1.412170182268036,1.2698485140024935,1.331722664493548,1.2709403122756795,1.2730006143973593,1.4130188428539963,1.3755767033649537,1.496726512085211,1.5214315135622218,1.630321762698079,1.9373682951925912,1.9127909095185043,1.6325660419121273,1.4697084292821667,1.4974524291759597,1.4409054735360844,1.3146017968162425,1.111548582161313,1.02150539039589,1.091921850059355,0.9202011830295326,0.979498586369254,0.8770371301596718,0.9856990974544412,0.8071240292858688,0.8000263205586547,1.0103635714124615,0.8829184441470983,0.7273675575862807,0.5959277880052907,0.7037111373464905,0.7434829566786915,0.8201242679001028,0.990186897660399,1.0800609120487932,1.2984966408592113,1.5607809084566375,1.7699584117784815,1.499689751599006,1.4039013200901602,1.2822836875563661,1.1795505892309803,0.9026378599313523,0.7048519901776008,0.7113325793381234,0.5688696920102287,0.6532738467021236,0.6922489601077311,0.8485148612779712,0.9857544588341706,0.9222622476386269,0.9276639298763686,0.8423826766897117,0.8583480774630259,0.8020148756054399,0.9064173892555093,1.0327969720828785,0.8952052591967076,1.1399898153566714,1.587468447078839,2.1004997775359873,1.504430716154451,1.1725141650252093,1.1838201790011407,1.1806540630506246,1.0623624367444182,1.0383909359911263,0.8876342998861346,0.8466160196079429,0.7605696417468899,0.8073319225569732,0.7889301394683556,1.2902622455845838,1.2980925930397116,0.8914192629223985,0.9280002584529936,0.8687866203124478,0.9579410031026826,0.8530817486402451,0.8856792261746251,1.069469426444033,1.0534070188946187,1.2138890487710972,1.1099942348837515,1.0373406542436694,1.0288858829969278,1.2940423173172788,1.2876214104460333,0.980807348975824,0.8967482775474177,0.8399925336766413,0.9082988734309385,0.920613788548601,0.9844817229970332,0.9570251325713696,1.0271505375772965,1.0192410335563546,1.0540003502242075,0.9923796929910763,1.039449570488207,0.8422248963694364,0.9063700821902856,0.9605583784849512,0.9800455772842782,1.2482383659972158,1.4125175301621933,1.7933242000746457,2.2296877971361084,2.0199256773570418,1.9167928912386774,2.0061907381013855,1.452583608320842,1.2456561217220303,1.3554786609015892,1.6239043673250697,1.4576356240093888,1.4225748133400826,1.345180396878802,1.180367647710497,1.1783739670188864,0.9254682756727696,0.8262540261163753,1.0046823006782426,0.9412653763479607,0.7286574602832542,0.8095217963480373,0.9566676111540072,0.7551454634771314,0.6600339105104371,0.8257349346747752,0.820775817027593,0.675344858020236,0.80298943128645,0.9440854100318335,0.962315778779406,1.1342842268072009,1.4306511879057593,1.270974743858846,1.2576775483951794,1.5127116204850342,1.64868763149044,1.876615361501325,1.3837890304237843,1.3593576471907898,1.3901920076255803,1.3766500177222223,1.5926344541446174,1.5998843127963396,1.5114703718584421,1.5193732719710007,1.8515035932707977,1.786091705510299,1.63750961605791,1.9234510072591173,2.096130656066769,1.9537556910281948,1.8434642784756465,1.4784874940204624,1.4222768715388665,1.3922729892992038,1.264949514597673,1.1745696816310476,1.1303329160888533,1.0299309131451013,1.0028549645701599,0.9417365880364674,0.8473697559696203,0.8140788125978708,0.7803129580247382,0.6948626022029672,0.7560631196650447,0.6674216030539604,0.7292591481828936,0.6929177370402669,0.8768483716559448,0.6997218208682373,0.7581433259478882,0.8740027793631092,0.9474511867312747,0.9814858316756189,1.1335435595747647,1.1417143024474339,1.0414291419358161,1.202077775232261,1.3363748820177583,1.3110697592933374,1.328611471154644,1.5729513413882188,1.741226067444726,1.5855524763084516,1.670110031999063,2.0119042415099786,2.1034971455571574,1.9454196015893277,1.7915988776604508,2.4153269410653015,2.2735385251015767,1.7922205048822113,1.251393247419698,1.089543637923897,0.785900068167445,0.9280757062463566,1.134487217649984,1.5588160766039054,1.7440588445842153,1.7835507764776852,0.7778445148039944,1.0204832563377573,0.6517504145942559,0.7896623662344394,0.5874361467643578,0.5480172586648049,0.7167204411859737,0.5277398565526463,0.5537238543857836,0.5467870940482885,0.7134620930635232,0.7125533723828726,0.6803987844352982,0.7110615057927582,1.8160621175090315,1.9774353466984367,2.2201590682601435],[0.8522548593472158,0.7487799176179909,1.1243633623821914,0.5657682830199743,0.8192448585916455,0.5783663016331486,0.6700431166817771,0.7732190719871237,0.8419392805364434,0.9395557706182146,1.0068822084079212,0.9959844746769844,1.095690585792061,1.169378732543689,1.6061920949610355,1.4341959400054645,1.4360223535535481,1.6450099971359502,1.8015837611564964,1.7424728418079327,1.9143177958663231,1.8640283389351195,2.1900083447119636,2.1083932599178326,1.9541111318432318,1.8699128951836628,1.6892981049672002,1.5243910010115667,1.530054526021318,1.3957834277303518,1.682747418291342,1.3925459722136313,1.5407898192436102,1.6379501047137235,1.5435416317268371,1.5833978533616722,1.4270750003568733,1.484181663840407,1.4047791142304225,1.4695645420876078,1.5572132567151244,1.6741353035768767,1.732751700691679,2.149260327567476,2.4146602343995123,2.688611437534763,3.1632202808236016,2.3820197158600935,2.298242876919082,2.6279211436997874,2.3980634659993143,3.118407182444533,2.8315412994642406,2.3300045596721377,2.4980451057408724,2.649989567843821,2.78251957621384,2.3991025731492215,2.534836993004534,2.8390715476100845,2.477262376543114,2.113200047908514,1.9343741390477147,1.9490706532397533,2.0559718037419046,1.9450262930112758,1.936057048127521,1.8725527376650057,1.9922228324884734,1.9519535153091718,1.9394863235867277,2.1787433328584824,2.000073057803827,2.104955475308595,1.8779706099416147,2.2015507584674685,1.9190622439384413,1.883332970950453,1.765952699785493,1.7614073519366005,1.528619607854803,1.4971163292119327,1.3727254134328752,1.4124555701403092,1.3504097798473587,1.3585678149791973,1.5108222934903803,1.486007964675029,1.629425432163222,1.672682640096626,1.795682415795831,2.1094787244856006,2.0958816983845097,1.8110798368312142,1.6353280120299192,1.6661447379079788,1.597752323346705,1.4726469342034791,1.2593545006020275,1.1614228444841326,1.2292531145513013,1.0377030180137699,1.111466144076448,0.9847723650433592,1.0566609059177405,0.8840967375674986,0.8978200901136121,1.1024693191171557,0.9479599620421875,0.7959827257460664,0.6611621250197431,0.772363886535688,0.8187932771653464,0.8781255425678398,1.0647843300209643,1.1299206971698483,1.3690668505307126,1.4822015769391435,1.8589599862477915,1.6141978525859404,1.496649992728676,1.3638780372543986,1.1996283143279445,0.9522705811124925,0.7746389605990222,0.7648339544853446,0.6293529926440763,0.7176708155721432,0.7792856983106068,0.9664311627343757,1.0912154835015464,1.0323094987898647,1.0542934004147875,0.9626151151404744,0.9904530588668425,0.9110641927411053,1.0241973641279494,1.0789388713561396,0.9956137313411061,1.1144617349504968,1.4849032311850368,2.045179066861091,1.5346123380866719,1.1968930424486166,1.248255370720099,1.2604447415498408,1.128350895400837,1.1208989560261442,0.979878383862795,0.9504063837219391,0.8633345469516167,0.9296980832670978,0.90920868025166,1.3400301836925066,1.393170517629609,1.0205848819972985,1.0523471364453143,0.9841716313007489,1.0763018486439822,0.9441880799586785,0.9708716808940652,1.1496882229084529,1.0941602948704259,1.2554945397613781,1.1465046222343485,1.0452416073436746,1.0946116314094023,1.3871380590510496,1.3924977912360204,1.1084445509289311,1.020146114722948,0.9368868028815729,0.9855553171693066,1.0070860741596759,1.0788226034067736,1.0605702026872261,1.138489745345121,1.1447714858445195,1.1670692116349253,1.1035244608689614,1.125430403764314,0.9334073927634463,1.000989465875012,1.0376079388480077,1.0487473412917077,1.2759107139680705,1.4162271837792508,1.8082785452254402,2.216524817870352,2.086379202041513,1.9536451412141587,2.195145668915737,1.574997508526279,1.3972259736283874,1.5177785225322373,1.7671597906269987,1.5769947722764313,1.5352808533879254,1.4165367131672553,1.2492562072720241,1.225357902195657,0.9713703699406935,0.8658470684423751,1.0248326798234098,0.9519257301376322,0.7302215082777711,0.7973281149448264,0.9354602179448946,0.7405406160448181,0.6473458179653309,0.7991647571983324,0.7815802277877364,0.6635635797795613,0.7658399027166211,0.8864872770907368,0.893233803470308,1.0707935590778608,1.3897983561709242,1.236440271193103,1.2099653933865955,1.47741854259154,1.6430184835666377,1.86221105157289,1.3846221974156019,1.3554121265128685,1.4143440192303773,1.4064201531237661,1.6478586447539556,1.6350472761035024,1.5380653391345906,1.5786973380836868,1.9185138649876028,1.8382271505799122,1.7038095629273216,2.017531265290566,2.1359889501720977,2.0041246452831794,1.9374321717372973,1.5368228887136581,1.5058934370338124,1.477260439013779,1.323249248260608,1.2514856509879613,1.1901625109489606,1.0818236163069215,1.0606209479022397,0.9707787783340857,0.8869748349933554,0.8419124369652168,0.7944935740561252,0.7102407337202499,0.7854438060252554,0.6561631382872011,0.7012232442697108,0.6808032943248767,0.8635954773781638,0.672380333805908,0.7170703378467109,0.8431002304247993,0.9288791736233957,0.9821308335683263,1.141944637092159,1.1129728036980182,1.0240616400131435,1.2140000986978716,1.3274430913241093,1.2972627067549583,1.3386429167769336,1.5856932541126667,1.7431125723837209,1.5991906431312493,1.6865370963926993,2.0204824634022347,2.1083487719511305,1.9550251482221868,1.8042323646583052,2.444152361003652,2.3151933847722663,1.7688658551297398,1.2160372958422145,1.0690729218788253,0.7618931249113942,0.888819834007609,1.1255284251007007,1.5704308982692745,1.7999057981810371,1.850486520982758,0.8006855183956147,1.0742122005285049,0.6969207855713161,0.7957144651913113,0.6274148142492684,0.5889744811359682,0.7927828246976877,0.5724226209245664,0.588144410337552,0.5891949359290445,0.7734604025122536,0.7354708949481628,0.6642873793497366,0.7974272349400392,1.90555778028425,2.2044087823852716,2.3767492716097447],[1.0490414296733654,0.9719980091292573,1.3002807812636346,0.7849320730010357,1.0054235392526174,0.8028781839175114,0.8517668944519764,0.926798640428523,0.9744742525360458,1.0396423343323924,1.087443034093957,1.0879279787917522,1.1785961296250684,1.2453469804533739,1.6634210096828017,1.49574815621915,1.5024098489333788,1.6791417830913773,1.8141013485262933,1.7387246386008015,1.879615042323873,1.7927224001564734,2.102226959678314,2.009258141781783,1.9051517287326514,1.8567064949185388,1.6910279993883501,1.5596598757330515,1.570741981233658,1.448541982190596,1.7082462838668835,1.449994795892631,1.579281718598716,1.6492024816411959,1.564110209615815,1.5989099896406693,1.4600458210122367,1.4870769097117886,1.4027904236769748,1.4344970454731472,1.509217014537108,1.6296459418203613,1.6569645068409626,2.0512876716171253,2.2699676801084245,2.4813153481144825,2.9124760814276036,2.1966844942938155,2.1589413314890864,2.4085518719643937,2.2199201706846994,2.9890847857011704,2.720156173744095,2.2762026885134485,2.4654804695483397,2.570642753523324,2.704418541402748,2.3561258887924152,2.503899922805995,2.746379697042895,2.3994108031465764,2.012167552904249,1.8990427271223462,1.847199761093294,1.9358454949938437,1.912571751409354,1.8962694379776,1.853009319785104,1.980484818400159,1.9536698769929366,1.934784045298312,2.13914352170432,1.9714217562235683,2.0367388948113034,1.854152521369022,2.1428981242547906,1.8821367356362684,1.8457511578462018,1.7368327854219188,1.7230042060373087,1.507852044351216,1.470408134778711,1.3684293190649028,1.4043944595966118,1.342312470783288,1.3650571106774059,1.4931763172082364,1.495244384350727,1.616791896539191,1.6666624072117633,1.79072376355896,2.076623777369678,2.077540010882175,1.8230668891735673,1.6720505521460622,1.6938518831826088,1.6430876980617484,1.530269035270389,1.3407817550475911,1.2540493574764928,1.3085632567136938,1.136631231347168,1.185618234499677,1.0820804684701038,1.1555494608747834,0.9876045307969907,1.0176591517123013,1.2160564366012732,1.0711477047387497,0.9473461760647363,0.8396980807563493,0.9229523151217436,0.9660047022262804,1.0038483794358368,1.1670524274455583,1.2254571606143454,1.4453776381901848,1.5994402553360934,1.8828622319712958,1.6602687563253435,1.5497375916489489,1.4501240311487762,1.2909557254547923,1.055779167530381,0.9182620654897943,0.9033822238339456,0.8214482295257843,0.8791476016691568,0.9347280028077166,1.0802473605218823,1.2154786878200563,1.15711296588917,1.170516019562658,1.064714764662483,1.1071887978342576,1.0343897974514067,1.172061334030836,1.1798623783648448,1.1427011745218414,1.1819918182055391,1.5902132109313782,2.043354558429468,1.552526069571567,1.2577192008207378,1.2654130509029617,1.3109772145016125,1.2053787749956857,1.2119576677248833,1.0877676801437524,1.0771093897423156,1.0061290077750569,1.0706061097054975,1.0343225403028848,1.4048552266955268,1.458009466752428,1.1430157754290386,1.1667537749573158,1.1014857448812407,1.1670715394860074,1.0469803496638859,1.0582187635209475,1.2060382396228004,1.1436428763514694,1.2687123932826738,1.1463535112622285,1.0785356268561272,1.1402529233562522,1.4238150767023439,1.4792993824041243,1.2405782970296806,1.14080379165586,1.043684879194628,1.0457353349864447,1.0640811565622268,1.1263469295328286,1.12561377673301,1.2008080786348911,1.1968779553801112,1.2018552145960268,1.1402961114868064,1.1581704643123718,1.0151513841376034,1.0546953208866032,1.0843240335293571,1.0866085227512698,1.248456218281424,1.383270026967177,1.7317810260727706,2.178317237002554,2.0163317125368643,1.8383851718677964,2.19725677888372,1.5870802130522799,1.4707238112540189,1.5892467246729933,1.8421489373312472,1.658335287516983,1.6260736767087722,1.5009510132040191,1.3542600280483226,1.3207885488944748,1.1057395485837722,1.012172672917103,1.1387904926707986,1.077386800499486,0.899903015260865,0.9292810069220565,1.037352617379539,0.903160322712051,0.8308299037695847,0.9375804873497817,0.924284590982867,0.8538592381904188,0.9254312886416843,0.9973385266164982,1.0024155906839511,1.1357912478324834,1.4279190663522103,1.2950384660760879,1.257459732501869,1.4925307161548924,1.7321188515526489,1.8855295082163037,1.4593564526916123,1.4094567420967472,1.4806334762615763,1.482732326600935,1.7067640975638545,1.6771712484878847,1.5970066845752744,1.6286961115860952,1.9367677182657252,1.8638318487574148,1.7488052880094214,2.0564839759731126,2.112846004412745,2.0037745536011653,1.987041352971762,1.5961883807665393,1.5897487108854074,1.5542970175304824,1.4185794905579063,1.348896124902766,1.3042570422006141,1.205603119304964,1.1846573782368042,1.111959638715805,1.0430592026193455,0.9969385034940637,0.958110554090638,0.9055512004352908,0.975407328009232,0.8514522294805689,0.8780032103098562,0.8634649407219576,1.0207446523703319,0.8542055895973967,0.878219818356772,0.9838526556486356,1.0577569977673213,1.1105718330816494,1.2393510481064267,1.190716061197911,1.1228379396329626,1.2980580606765417,1.3756367149475006,1.3516634486413615,1.4019893583663152,1.6095174005858168,1.7340274401105307,1.6285752314963327,1.6940996744027643,1.974539938040966,2.06305968550542,1.9390424419179513,1.8444534231327192,2.4621674178611648,2.4028360713965213,1.7798956337512861,1.2472331686572404,1.158897882946782,0.915094467999607,0.9993089459237637,1.1949845922967304,1.5982089991740578,1.8834089505692473,1.9593968604900445,0.9517973496052463,1.1954386708116207,0.8859809128040216,0.9699734409602072,0.8213225019564745,0.7997676388934118,0.9449618701445803,0.786435931378545,0.8100948371605455,0.8046505520618787,0.9869430409982293,0.9423794357518116,0.8182346998843136,1.0419321579866891,2.1678806421075008,2.5422667001441184,2.643375388215584],[0.9946775270369042,0.7610696708158236,1.1117610118457684,0.533419435193153,0.9311048268675418,0.6167820192877174,0.6919480222773186,0.7812966453648403,0.8226427733931658,0.9117544695387734,0.9765044307242333,0.9793769770793394,1.0932589030199586,1.1456522718650883,1.568487475302326,1.4214618835683788,1.4562113246104447,1.6721986844716559,1.8517671480921354,1.8028580329897228,1.9824450252367969,1.92878766714686,2.266408441452282,2.207151129572396,2.099843092558665,1.9715389921869486,1.7975555174774098,1.597212524781906,1.581902276148087,1.4133366729011565,1.661214480004154,1.3935449790495433,1.5086325853418319,1.6194497373524357,1.5503930237017152,1.6086318544787093,1.4578498012169978,1.5447558675503166,1.4924776741804273,1.5998572969704155,1.6799674304107641,1.777723462302711,1.8373519542207204,2.254457762756962,2.43990029510196,2.602923279514288,3.1156307226488567,2.406405177072751,2.2721247029919507,2.6099224895445547,2.4461112486772087,3.186747050195191,2.9571069163419867,2.6270915467878724,2.788145899489641,2.820130336756159,2.9152455838188085,2.6046923289489947,2.721797584029907,2.941859546780065,2.5571531212444754,2.112040333616634,2.014272559266372,1.9695218727008559,2.0307446497703414,2.0240853664577085,1.9567983005259288,1.8747057350384908,1.9908442312116563,1.9096744790510782,1.886767721226226,2.081633419055448,1.9326644620833995,2.0472846227897827,1.8447903486108075,2.1476833653243577,1.9337376091776088,1.876880135263846,1.7914055016335264,1.8177200936633156,1.5801720764388267,1.5892204608194505,1.3913054321004414,1.507615805227259,1.421511118364709,1.4381706872538704,1.5779639217936046,1.5251862324133425,1.6672705439045958,1.6844883118110447,1.793694359526976,2.0521935262686224,2.0281203481265124,1.7516040838200975,1.5854559761228448,1.5790045104049883,1.5271650137191681,1.444855903553019,1.233831285550488,1.1269877740382712,1.2270349535726157,1.0454495691330725,1.1059688456329457,0.9993763813952622,1.1216661740550635,0.9209100231116568,0.9088544893653511,1.0752782815666206,0.9375006892444259,0.8205626079732639,0.6920441431903679,0.8137432597048316,0.8606280485604837,0.9519168328485968,1.1238919641489835,1.2130557450945305,1.4533661139332887,1.775351477955257,1.9059650189955262,1.6600534998537853,1.5241702867516576,1.4155537412266233,1.2859753332879718,0.9880933584825726,0.8029846354371939,0.8004665263876063,0.6660044227197544,0.7401857212005598,0.7803528956457259,0.9254631487977469,1.0690346133004083,1.0125722461425493,1.0183791499840626,0.9367260496462315,0.9511813268666326,0.8760957062007388,1.0266729535872525,1.1334341864544462,1.1364418235315852,1.3052112832563716,2.087425773196618,1.9948326494476414,1.6128410187387143,1.3671129888453464,1.331926509292804,1.3439247405224457,1.2188330975092034,1.1849857741450538,1.0171962872724885,0.9711536543254848,0.8773049187258251,0.9029243926249894,0.8891329767367876,1.26102110780167,1.3101763384002827,1.0169088975384097,1.0555641027467746,0.9950069552842269,1.0898473359972207,0.969983060125018,1.0028010626325117,1.216958290701534,1.1785371427784015,1.3572763858151584,1.2301436666229468,1.114902443687806,1.1047133469000168,1.3479268729927296,1.3573735213592033,1.0438004534440457,0.9777221614608559,0.9159877739560061,0.9962875014972515,1.0318837856003231,1.1145127614375172,1.0876461053573723,1.168280605906886,1.1609102465517533,1.1934891037608704,1.1308108196140312,1.160442090039154,0.9545677711826529,1.0032208343107916,1.0462254313348474,1.0701268340080237,1.3547223285292025,1.5556720854293893,1.913687524956743,2.2905859784118396,2.0717122711556137,1.985035440604176,2.0638444590547462,1.5169849457509337,1.3212729314095617,1.4492110160678597,1.7414786428971962,1.5763420985946601,1.5436916648167867,1.4556176927649194,1.266840265698627,1.2941122217210443,1.0365701164343073,0.9090081811279362,1.0992962148087422,1.0452827534255364,0.7972673533519883,0.8666065170605342,1.0332332450718071,0.8335303102636372,0.6996543800844457,0.8768383252535052,0.8758138174269283,0.7001164711395671,0.8127397304601769,0.9552966792656173,0.9620438462084104,1.1746272299276819,1.518822431184862,1.3536806981206282,1.3473879631475656,1.6127274840185237,1.7791313708390626,2.0289882462279913,1.4756364183930066,1.4770712799549062,1.5359313949801745,1.508494705938117,1.7522369999151397,1.7479461425811462,1.6395653048781151,1.6686418850101092,2.0086799847623884,1.918779099824868,1.7823886917362288,2.0780747877201757,2.2164294991341276,2.090291139823511,1.9721126872402504,1.6044641177818444,1.5469484509254467,1.528374897345813,1.3997217437383078,1.307315193093068,1.2833563787396736,1.156288537833385,1.1309650422881465,1.0822342577697959,0.9692904430216078,0.9185820422277091,0.8811318051674066,0.7874692000073238,0.8064697579628848,0.7216908704469659,0.8016466938667697,0.7467583839554626,0.9013662578664523,0.7613178589735549,0.8290725973393035,0.9653798958267077,1.058673183724392,1.0965401383888906,1.2723611540022073,1.2541359735143414,1.148103370195659,1.332620521228958,1.4570839216658242,1.4214710279090694,1.445484724696573,1.696610941738237,1.8370380764944017,1.7010518073534553,1.779621884134559,2.1228621800503826,2.1918985646873947,2.052392010818036,1.9013154336677904,2.5671821698402293,2.4284581945643433,1.886945093271525,1.277712799728863,1.1539561024469625,0.8147425008791676,0.913699984119428,1.1267526625026665,1.5671662331721832,1.741022059385068,1.8765782665640836,0.828378721208361,1.0900230881837585,0.7320965016235798,0.8749185487751906,0.6697317397243651,0.640518996338254,0.7796984273333271,0.6144125553096981,0.6253579265886445,0.6188411442992339,0.8358678028452579,0.7882134082466953,0.698622997084161,0.8698957127836677,2.106452072280128,2.34036353524125,2.5731896126219254],[1.014171398774431,0.7341979559889852,1.0784845623331267,0.4953966527331997,0.9384573759838847,0.5862005680301193,0.6669768289848017,0.7576116456026454,0.7987037639297574,0.8940378721852023,0.9611196596969268,0.9605090465631207,1.081571990600389,1.1303837362971174,1.5637860214844805,1.417136029654939,1.452807208642652,1.6876540240227755,1.875959159289405,1.8478627755429904,2.061083099800847,2.033962651247944,2.385448556324201,2.337084026799691,2.17547975285686,2.026267085219561,1.8364063060044395,1.6096931145675437,1.595720835321026,1.425257783194868,1.6813563075106581,1.4047377750763992,1.5271238437238164,1.6577084203489936,1.5843519405976076,1.6432862800497068,1.4890358974618818,1.594729161946018,1.5413932444633718,1.6800849053868832,1.7581662461906225,1.8489961737891474,1.9384774013342563,2.3987109052245827,2.6144773361047027,2.845811677890319,3.3966636428724835,2.651356687917182,2.4902779456894257,2.9094136845539342,2.7029632554682377,3.393568319118193,3.1333842583372764,2.740020797184588,2.8900901565908144,2.960475676040961,3.0388850274573733,2.7003496389219337,2.800304455144614,3.0931673791134773,2.6792151881744304,2.2415956703326065,2.084378705762794,2.085855214991008,2.167934607697424,2.102292015812613,2.0464570431790494,1.9325896038636021,2.0406910612051474,1.9425708116646252,1.9231062160340058,2.1656842857729055,1.9907947361213343,2.1289087160729805,1.9049951622622634,2.246087922728134,2.012758773901751,1.9563031880587969,1.8690616901962982,1.9085434039514217,1.6487587598414135,1.6620790714176696,1.447645764629899,1.5939020281727052,1.4988218661520225,1.492726591943605,1.636904574639515,1.5708048066987261,1.7224900666157326,1.736112599796438,1.8433100364543493,2.1192231816456006,2.07412745852873,1.785462897260025,1.5980372557134075,1.5886652888977524,1.5258434197990556,1.4438936563405131,1.227019050109426,1.1181617059215103,1.2253269697825995,1.0384740955793519,1.115988423968427,1.0088225934073938,1.162268689920305,0.944074949559379,0.9298351974954437,1.075640249802929,0.9324330505105053,0.8336477913546378,0.6935281624027739,0.8162238630319059,0.8475730039699241,0.9406502652381514,1.1003227979629597,1.1858282210493623,1.433587674756436,1.6651639663108349,1.9090350991016893,1.656273986902823,1.5071390669418772,1.3838946877032736,1.2457971908162147,0.9656619065051755,0.774647040565011,0.7956528068193124,0.6572572722815375,0.7439519731569242,0.7828995138090099,0.9393327184620458,1.0586699247981854,1.0212225024879085,1.0479972402880917,0.9786696083502439,0.9789419922557936,0.8949222995104319,1.0161101480389811,1.1530248092725253,1.1508585308787802,1.3160287422391503,2.079219784169327,1.9627207825222244,1.6233129196677705,1.3676944071705228,1.3594145357212004,1.357832353308827,1.2164727267913027,1.1809626034040897,1.0143267951587263,0.952154930053596,0.8622027951034081,0.8806020313269936,0.8643129178730997,1.2611611084145207,1.3075798901156286,1.002383115504187,1.0428524980856668,0.9863869788051042,1.0858276404637217,0.9751663632338746,1.0233165177546153,1.2412473501923937,1.203404579315203,1.4076059927264424,1.308343299645098,1.1801051752279004,1.1789327317025586,1.412886090271115,1.3832158039706322,1.0735176743058497,1.0181622758562963,0.9623821331042138,1.0523025719546444,1.0866490735077325,1.1613838030827048,1.1276748540374382,1.1943120807906293,1.2046018356883008,1.251474862301381,1.2006994498400179,1.2330135082985643,1.0037635982826316,1.0786663356062738,1.1358412050389803,1.1547055211272788,1.4563691855834258,1.6398441790719398,2.0510000782147797,2.355176912637128,2.1848411812100057,2.162437049096359,2.1135438456437035,1.5909746965110727,1.3591990627262711,1.4662758521938426,1.7563723798019588,1.579867333695382,1.5412020205825325,1.4537532928799708,1.2543414008590923,1.303246642672714,1.0404661676899127,0.9078289438137802,1.1017856873410765,1.0574191249292826,0.7961150589145536,0.8649354020487187,1.0474922021676574,0.840383684798666,0.6948397423985767,0.8766603316078153,0.8863857983502589,0.6978698732731561,0.8206119156444742,0.9759817754173495,0.994720846217679,1.1999722392111987,1.5470154951617103,1.3730731106604757,1.381241658192138,1.6713696942940977,1.7934848083904311,2.102013772181598,1.5087138464202623,1.5324235631625172,1.5959396697829122,1.5569478542495483,1.8181639071803304,1.8102829572358028,1.6924107076079642,1.7215900824264558,2.068003961992944,1.9695082960883474,1.8251075486422328,2.1441000727287425,2.2978953847469357,2.141225016482812,1.985316223187797,1.6212668798805718,1.569306705521167,1.5570833228991674,1.4274328780495853,1.3312398124403426,1.3111271232379762,1.175850536305509,1.146149793524658,1.1046119156823768,0.9791217011860959,0.9317000673550977,0.8871041704583368,0.7904043379382956,0.8007135887175487,0.7234679388296312,0.8140973611084544,0.753074148061999,0.9031183442512951,0.7762156977223983,0.8513755747900168,0.9872440721365485,1.0806944946899135,1.1118554178134228,1.2988096550133708,1.2921393227691473,1.1686953798800315,1.3608237794858238,1.5009963360246323,1.4501988890867252,1.4702567212306004,1.7510197837258992,1.8727483946649541,1.7142028124553077,1.8207733865640974,2.187881787974063,2.226442476065812,2.0736524530477456,1.8850330582487531,2.563351949705684,2.37184043129768,1.9008582704014594,1.2844371881041459,1.147288935414747,0.8140466548340836,0.9390569991491278,1.1115582513384075,1.5328591907853166,1.6558686966288185,1.8118222677399436,0.8325638331746569,1.074318939989302,0.7337586435565737,0.8992594745817916,0.6694710808049178,0.6350059592359365,0.7512306470843245,0.5976747752812781,0.6005429263638159,0.5971167920742494,0.7930208311422444,0.7652173962131859,0.681451204850471,0.8123321279070546,2.0326082500891314,2.2215511595947626,2.475467716927652],[1.0936346277343767,0.7204519159351804,1.0508885628256728,0.4365534953377651,0.9840017877798012,0.5788842841407262,0.6575738147001507,0.7207169795011119,0.7301243958678894,0.8220717699725035,0.8714787036329352,0.872367331217709,1.0064964059584995,1.054146932716582,1.4741779274859486,1.323052485962646,1.3769293862617418,1.5867191434763885,1.7829522198976993,1.7566031877840074,1.9562797855524867,1.9336948997209136,2.2830427736718955,2.2520618067663403,2.115118034601495,1.947164774897566,1.7676319410124313,1.547065562001236,1.521174472966595,1.338984385209255,1.5650541259872621,1.3005351447285345,1.4039698532099034,1.5263374996190169,1.4749143278358305,1.542075966475041,1.4042291771635134,1.5136835762962588,1.4864320472329358,1.6411760728160167,1.7144536176775291,1.7835430162966375,1.8658118648963626,2.315365254646398,2.5092829415107576,2.672413263740063,3.2264296015750316,2.5008022981471116,2.347066025600744,2.7304944374121702,2.570428174936018,3.2965736482813885,3.0706729039854825,2.788341726179447,2.907371455240378,2.918881561872156,2.9982092926549915,2.661637526250892,2.7732509402346417,3.018413139139115,2.595942696589843,2.120630180043044,2.0013140293707132,1.9717754396023532,2.038326488015441,2.0157402342532125,1.921010419842443,1.8056219309428319,1.9144444373174423,1.8121848461165941,1.7862805768725158,1.9857095908076665,1.8368443077545313,1.989945499434675,1.7609610802563735,2.0833800924290213,1.88087027195961,1.8176640111508158,1.750221834386875,1.810409690851689,1.5561519743583896,1.602237953358342,1.3614621976200525,1.5354885344672595,1.4442060186935368,1.4301438011279448,1.5623865735167914,1.4864073122848893,1.621870659641511,1.617719129817042,1.7093345325628257,1.967502711293208,1.9354936406140932,1.646450514439279,1.4789019868835975,1.461293805546618,1.424791491170744,1.3351407488964873,1.1304445984648288,1.0270447255326878,1.141263973137782,0.9914012072386997,1.0604302309674607,0.9774652706255996,1.1544577260365654,0.9189816556800625,0.8977963852706788,1.043305490663093,0.9205168835185303,0.8338311268427253,0.7107697632589541,0.8207936369757841,0.8398030592460182,0.9467856879246599,1.0700857083538249,1.1799738494689611,1.3956250968013164,1.7857191263182635,1.84239871081454,1.57679549728015,1.4410748752110865,1.3308085067342668,1.238595002806236,0.9405351314019202,0.7402413344629196,0.8239802656537561,0.675529382654751,0.7703144051138625,0.7843296012892961,0.8963412085948322,1.0182892512360597,0.9739421125784595,0.9906351624436021,0.9326991182962042,0.9304067995292206,0.8699967245840496,0.9602701400278193,1.1887550232678712,1.1324090336891426,1.3576545198971681,2.1441040575049657,2.0207811912190023,1.6078063559232176,1.377582360895687,1.3406537182137324,1.3212819467063222,1.2003746676192035,1.144555792700081,0.9866551915767232,0.9110167453118821,0.8395903060292992,0.8076887338992186,0.791353046699969,1.2200179471608663,1.2391079878988367,0.9326124286283988,0.9780473204085055,0.942394692727251,1.0265037443498954,0.9572020957496739,1.0075969441751207,1.2044876921444299,1.2094820628951697,1.400777778237936,1.30086430529541,1.241486187178737,1.2121540475682568,1.4452078135235213,1.3787906298306605,1.051098746935385,0.9865378785583633,0.9687359326996685,1.0444441621958531,1.0607811695092242,1.1206981478129705,1.0769854461404726,1.129076012291023,1.1277288764378954,1.1882880297678036,1.145653591854874,1.1985178107714922,0.9738045942462231,1.04313823966165,1.1032791633948087,1.1322917475661345,1.4229576550986114,1.6274413381891584,2.0094082732004903,2.378056213885348,2.11963455380384,2.0881684162251717,1.979317465818522,1.5213923003846805,1.28093255386822,1.3778380051862722,1.6731273601910142,1.5211874243522054,1.4810777656948722,1.4308887632592515,1.2412246135018312,1.3027417048697756,1.0544368311710994,0.9317454810388748,1.124885562206662,1.0936225793558254,0.8442688654001697,0.9129207245211185,1.1038056908602085,0.8997023128518163,0.7481775073415983,0.9321996954013854,0.9546820453595253,0.7506114506819308,0.875057975298962,1.0437789970584164,1.0683632588500547,1.281842138024861,1.606432330306176,1.4320607521513293,1.4482912107842747,1.7313666521163584,1.8334957586448362,2.1346197743935953,1.5421305049234282,1.5638081984339376,1.6034203886736849,1.5619533577874891,1.8043837494828001,1.8038366211392105,1.691691782716543,1.7036483600195464,2.0285242755652484,1.9465045219212613,1.7924301073405415,2.0785320980632265,2.271696823177012,2.1161767103663736,1.927817924342274,1.5981849660780811,1.5315061366274059,1.5240098104115924,1.4188925951800109,1.3138404493772236,1.2990820012573594,1.169711863638696,1.1476033218907455,1.1270236947193693,1.0005191302711824,0.9625574465056225,0.9262461294346135,0.8356041576569743,0.8260761812366636,0.7763510247715574,0.8826141917990982,0.8125411640814515,0.9326295748779356,0.8561227516861984,0.9388362045671812,1.0625687418126577,1.1435267009045564,1.1483589429570529,1.3266338387529608,1.348506229600511,1.2195744839848544,1.3852678877213278,1.5349436869271462,1.4929982380725804,1.4922905134632276,1.7611743458177862,1.8973310706278348,1.7315029633967587,1.8271711003812938,2.204733940972949,2.2404088084972593,2.0867593434521288,1.8990981145299715,2.569177453995681,2.3743648246434454,1.9398036010396604,1.3319239341159188,1.1897704913463223,0.8646944973613381,0.9947739698777956,1.1369628547710662,1.545090928767974,1.62329066465721,1.7790313155767281,0.8765501234579219,1.0751197236216774,0.7581837313277259,0.9470149206725205,0.7061947302236534,0.6735052021496545,0.7360516699199185,0.6280701543443105,0.6278150694612566,0.6138790691086513,0.7720804137008348,0.768783171396901,0.7119693726415077,0.7648288759507661,2.0044630686815035,2.0868713503840595,2.3788472802669096],[1.0224198636701236,0.6668965980859435,1.0304754735562809,0.4248981554164414,0.8666986120787971,0.506673951262892,0.564210512740605,0.6217959140111746,0.6708128837227268,0.7521155033600061,0.7984643845569851,0.7741715456453028,0.9144335487127502,0.9786185696704717,1.3887916652777506,1.2317824035940366,1.2782438613114222,1.4874611631003338,1.688106546692362,1.6528909106256289,1.8582752903417388,1.8442693258829008,2.2020636283576356,2.167745604570976,2.0149555759790525,1.848865448269515,1.6531344264123975,1.4423596622254742,1.4140682815353298,1.2335995551522647,1.4757142619612855,1.1912641677385962,1.307006197266061,1.4268817661575848,1.3652347151897293,1.4340930374765053,1.2898853758679347,1.403151788213824,1.3793741330941522,1.5351884546000525,1.622045971299965,1.6781869582309954,1.7688475161050514,2.2285892894731916,2.4807618019827036,2.6735129038966154,3.241120714296474,2.457567886356293,2.290894718420665,2.704128488756729,2.5133092610447627,3.231716774360554,2.9902804835434553,2.6573661413906144,2.7686825674728137,2.8154448711480855,2.9154107739259496,2.531595016609226,2.651645905997069,2.939222385727239,2.5210987008984023,2.063654365323845,1.895380370449402,1.8845621245096864,1.9910354243386594,1.9116777320698257,1.8356323928004126,1.7193684986215305,1.8366793381238073,1.7451244151094472,1.7371075629345472,1.94867719718992,1.782115728912909,1.9352243588423608,1.6817968795156504,2.0182510753642617,1.785852836166347,1.723642511209984,1.6485786788307732,1.6974415249496697,1.4488000434571477,1.4848119828977575,1.2670281162499804,1.4189607580473473,1.3430343717154254,1.3151875881444002,1.4532828669942819,1.3782048569040242,1.5135995683924865,1.5119683480242712,1.6098335982217957,1.898913775945813,1.857630143780596,1.5627500678825883,1.3961976486766727,1.4057557387716928,1.3561950302073065,1.2361074457056886,1.023633550458497,0.9279356815759093,1.0223621560876843,0.8676326526103799,0.9336963456462518,0.8612703082562915,1.0430256648707577,0.8154602917434197,0.8074107991197327,0.9912403676125242,0.8735176263807403,0.7530753868427857,0.6220775827483075,0.7118299457560994,0.7295705553663059,0.83378561630648,0.962484072867516,1.0738343207202787,1.2851674769629482,1.6583757633340193,1.7764917609849795,1.4819207769035192,1.3696453266924786,1.2478708231972342,1.1718481998735935,0.8701137166705758,0.6491145587774363,0.7286315512435357,0.5922583984060603,0.6886327179038791,0.7068456121117651,0.8304725926672526,0.9657644028684887,0.9194790068057503,0.9315359866817484,0.8674091681375992,0.8690295913715845,0.8080222855349908,0.8855666132235813,1.1183538344038473,0.9711775996803027,1.244417115230274,1.871631422701389,2.059692280031711,1.5336012226731546,1.2453789416564154,1.235893952332264,1.2038376656204344,1.0806411456958074,1.030990256757829,0.8715514559566094,0.8015152383220051,0.7227397924134655,0.7151541521934736,0.6975047759975075,1.2416669848323512,1.213238017483184,0.8198282136010475,0.8605957226368868,0.8194275649051588,0.9051508444178091,0.8368809963094976,0.8994661570507746,1.0868217290488746,1.1093079272746689,1.2975099251897875,1.2220308637018416,1.181996903573496,1.1660853499545136,1.4321928592871938,1.3702072770958107,1.0250483608506495,0.9435203258974248,0.9006443616716002,0.9685472373779422,0.9676665856129902,1.0141900897725167,0.9645365158428768,1.0085443102193177,1.0101566280096934,1.0826820004266602,1.036200496079939,1.1086927599801015,0.8762544128655737,0.96786737673025,1.046963378883725,1.0714877925624502,1.3588840966963265,1.5396876145181466,1.9481366501962838,2.350560818468685,2.085842223860848,2.0524694442532936,1.9359099797977655,1.4873514893070807,1.2359110028808915,1.3194866636996432,1.606730736955164,1.4527462730363438,1.4103677992830748,1.373363622994396,1.196842028366151,1.2522790509611832,1.0015353118913402,0.8836925221072294,1.0843011850164261,1.0523877994445157,0.8093607530155675,0.8946181378371654,1.0830769499192436,0.8708454150358872,0.7349285892824923,0.9319289285986403,0.9551770124954347,0.7512087370432677,0.9074802117744786,1.078155381748692,1.0908491689425368,1.3143148356678371,1.599198764494717,1.4217111960966375,1.442723171371864,1.72735265575999,1.797459997943272,2.085089478760843,1.51812633580342,1.5174757958553944,1.5393851880542335,1.5073259609427072,1.732466441888642,1.75115090040464,1.6267673789313621,1.639987078458292,1.9751759376818785,1.8949662481263894,1.7236250623992302,1.9992141186705337,2.2286694389043653,2.050450164472704,1.8485239609998456,1.535857817981558,1.458219881936307,1.451992889431047,1.3583409268398987,1.2419064049569357,1.231216707730278,1.1018404632382692,1.0840618773731612,1.0613212988738387,0.9284763050831036,0.9072450239728006,0.8804981200574208,0.7907023085982419,0.7926479879713463,0.7461960960922415,0.8595401929849317,0.7931764440918618,0.9163339335203585,0.8497729847075074,0.9340508976320893,1.0462533538373238,1.1090455292789485,1.1035085759761862,1.2703295249798539,1.3153418731004034,1.185077591225385,1.3325420655788252,1.4968046086182971,1.4615220655275547,1.4462900535052254,1.7104110875749021,1.8835205071537964,1.6909432426628306,1.7794185585240319,2.170199582130924,2.221508986409842,2.0472328328203826,1.8564673086936139,2.5074264741366457,2.2849918719083537,1.9248940117351714,1.3444950658901131,1.1761722566049977,0.8621221331661159,1.010481495279106,1.1590618197301077,1.5525017883266767,1.6207793166910152,1.7187963222061104,0.833990860886107,1.0345627914139257,0.7032994340959002,0.8498007384051602,0.6501403321997581,0.6054833439829893,0.6662503022782359,0.550719295243453,0.5490941131875107,0.5511011925146254,0.6705207518389845,0.6688908055133854,0.6899636385171082,0.6178834887608343,1.7416777670556445,1.756522133775793,2.077267532887454],[0.9834136766737593,0.6839799798752217,1.0217241389177156,0.44136378359472384,0.8209907835730259,0.5024205920156727,0.5528614244723861,0.5821350736827201,0.6392382704788063,0.709679425179702,0.7541180735147455,0.7312295495913376,0.8505863362370744,0.9276135616212733,1.3003515568855317,1.13373714377378,1.1805709234794615,1.34799556797254,1.5348681272400209,1.4893746706817717,1.670067516896996,1.6528333601964085,2.0023774842999718,1.9671039561974908,1.8383917794374087,1.6813125141128626,1.4955494994501677,1.3103501882457602,1.2838053191779406,1.1171361061328517,1.3493367190935646,1.0693928193798696,1.1861030246269577,1.2787179331382883,1.2200164711127195,1.2858556886594106,1.1492977469022425,1.244069524413194,1.2273974355457118,1.36956148317472,1.4731619277475503,1.5098082173314358,1.5854034507859942,2.005773858604158,2.290510621852825,2.4496192869040083,2.9902731508423797,2.1857414301974525,2.0397784695865853,2.4015204970187765,2.218753980415634,2.9696660644442905,2.7433487741337124,2.431129621650515,2.540820936616368,2.574208586951427,2.7079700161610356,2.30346994422281,2.45091619688482,2.694661135426152,2.309896423314573,1.8618441250118634,1.7228878494939577,1.6703319010682958,1.7915902836668007,1.7339284642753678,1.652889984376917,1.5492763761515869,1.6709767871982733,1.604323197243188,1.606003990072729,1.7906711937850486,1.6268823619364992,1.7605638207967171,1.5126918728734815,1.8456143198931099,1.5919399089390789,1.5354111560994623,1.4626968194434464,1.4984788713646813,1.2665417210401422,1.3135043074861803,1.1277935086399167,1.247020279880351,1.1999263439476944,1.159081359135161,1.2864402637554615,1.2305093945130803,1.3411216713775589,1.344145099511247,1.4408597209885659,1.7414519928646013,1.7097859028563138,1.425386860267564,1.278051009371073,1.3120296610815303,1.258801089849113,1.1257905628348168,0.9362589670763837,0.8731880651941603,0.9230550681528913,0.7917733414143809,0.8222125668987964,0.7504379412303546,0.9217737889892325,0.7147615525837883,0.6886452118363592,0.896903275085311,0.8098015210683607,0.6930971871936024,0.5676846705392627,0.6362092402431561,0.6755211508264758,0.7666242234971509,0.8974593090963918,1.0182316725108986,1.1930809852402662,1.621374989857336,1.6662575414269998,1.3608959032227912,1.2905348326106874,1.1809801471036072,1.1407280360624685,0.8425599955899301,0.6234375869290123,0.694764262404195,0.5561620607318827,0.629691610877972,0.627165751152238,0.7341630528390966,0.8728198452835347,0.8158845116013334,0.8104213825170482,0.7456094297103516,0.7547371665662458,0.7310238068711695,0.7846389442435335,1.0374942679891177,0.7925940204971903,1.1417886661870713,1.6069637987287284,2.1357485943424233,1.4380070693163423,1.1187223852324983,1.1027990228978433,1.0790149558065332,0.9773408173484914,0.929303179079266,0.7808650992234717,0.7352033291592974,0.6689185159607214,0.6691851148250577,0.6697966664302585,1.2766092934140372,1.2144716955724937,0.7529796609775453,0.7882760524266118,0.731449000876977,0.806779575861754,0.7502177617594765,0.796749779894417,0.9686667894082048,1.014282658854844,1.1712823068191967,1.0996461445700256,1.103731446072647,1.0662894504509701,1.3550378870038897,1.3198367798863466,0.9716049041241654,0.8553167232496955,0.8196557191333218,0.8708141912227304,0.857252879879452,0.8918561389379456,0.8456703047443728,0.9016643580270551,0.890905270096873,0.9498665809601516,0.8902195147871044,0.9737856021482006,0.7574805772938684,0.8325634503826301,0.914078361326789,0.9394899997875618,1.2168258415318083,1.395481880592208,1.780813982836101,2.277566353837095,1.9514404203042768,1.8840856195200084,1.801206230899961,1.3763106105856744,1.1234039521070867,1.18887370331945,1.4613141112849213,1.3139343875611278,1.280295733638516,1.2663537637563642,1.119305425875307,1.1474526003358487,0.9103620523235825,0.8183520057034697,1.0049851151631854,0.9690140965279482,0.7534026817596856,0.8575969665402945,1.0223766845306175,0.8156272134607896,0.709083308031777,0.8969470024989074,0.9139586584085176,0.7442127945988897,0.9091076584505705,1.0661113472354333,1.0838685819510205,1.2696023715433697,1.510529691210468,1.3433538787170134,1.356117869740923,1.6181955300652853,1.697995885941701,1.9317358024442948,1.4288885327504037,1.4008081429818444,1.3896417233631937,1.3705854200207213,1.5662066062295152,1.598597633479328,1.492835167999587,1.4947967455436517,1.8147036847991718,1.7596524915000533,1.574978444196493,1.8143295842302223,2.0795246999589807,1.9106263723769445,1.721395609202206,1.4125661263347602,1.3245330355802316,1.3115439927924069,1.2310925951840828,1.1152249606348617,1.103213002181923,0.9953563979476184,0.9803475797875285,0.9601455043081657,0.8408338578919209,0.8355158755613298,0.7972185887630627,0.7214605654577749,0.7487504688595921,0.6981593795125345,0.8011438794637818,0.7546283090291163,0.8909752202667539,0.8153187027717185,0.8891375234974321,0.9789275198445216,1.0203040591445203,0.999758202580319,1.1561614764107018,1.2153681902030131,1.0986874159674591,1.2150656594969302,1.3744179498482758,1.3573548913530027,1.3378907748591498,1.576822712290214,1.7749108396866302,1.5818329782230829,1.6657221574375305,2.018002131347892,2.098451275250939,1.9317313787064958,1.7713105439394279,2.365055340020453,2.1791423812787842,1.8365513429169122,1.3218221454505714,1.1312716162590277,0.8551397379458818,1.01805088549079,1.1572512998566948,1.5367567595439522,1.6293317942689731,1.6400766340200705,0.8196782151252617,0.9771798419645117,0.6675280810813612,0.8299514350441219,0.6279803409623841,0.575861412323862,0.6463713696682217,0.5438996559006561,0.55500764262819,0.5597987462646853,0.6414336037172862,0.6513629738729793,0.7248167280379173,0.5845399123909771,1.5940401993222266,1.5603401556103313,1.907196550890718],[1.2245575241878854,0.752538671390242,0.9201536395654405,0.46197495476370715,0.9831382222222438,0.6133100195121799,0.6495300725554476,0.6537186476614282,0.6816364756374553,0.7462449078051743,0.7814950357273993,0.7630272638954789,0.8713587165802688,0.9484950581091258,1.3046884983381248,1.1369694304793572,1.1826681001367796,1.3539250548259147,1.550218014600323,1.510669049537751,1.7050013230678098,1.7038651517517864,2.058674891989564,2.035071056145566,1.8852213073891972,1.710830321541733,1.5312815141994753,1.3274680601745301,1.2970107072287445,1.1230730655514531,1.3447172756042207,1.0731461723587021,1.1812046303479715,1.2734455570495118,1.2250168611375158,1.294589833910403,1.1637135456933285,1.2729040339157878,1.2642820337973355,1.4286396835895898,1.528929835248967,1.5536602018722894,1.6434001311390052,2.081352947044034,2.3465660857921233,2.5083378100079883,3.084214331521305,2.2792955187658164,2.1136207046876634,2.5134599594292397,2.338479804841068,3.073497459939115,2.8482278105440013,2.5714038339167358,2.671920835379776,2.6798342259820784,2.7876079282629442,2.396431803177237,2.528984461512217,2.794408670579671,2.381179540997022,1.9238629240197764,1.7462239891595692,1.7368073668191044,1.8573316065443242,1.7662039531606306,1.6790950587937064,1.5628554170272984,1.6850615446909716,1.6133201012568839,1.6191501646120527,1.8031837125967998,1.6431970931384015,1.7899801722316286,1.5230538213845553,1.8681908530543778,1.615236108797847,1.5538502036911546,1.4827944517483227,1.5317681577659714,1.2989227206196818,1.357954300764588,1.148697264461189,1.3101583732496211,1.2484461538214982,1.196212869840287,1.3168841613957438,1.2451968902986148,1.3608536861929659,1.3504134070401375,1.4443477360218873,1.7433405446583996,1.7067955118272715,1.4166903940765498,1.272858848927197,1.3065072405470597,1.2624262193596627,1.1246493908213584,0.9413292833177771,0.8925627222616368,0.9355659419202279,0.8234726666633276,0.8459899732985884,0.8053662214433727,0.9944402121196055,0.7904493378615176,0.754762063712719,0.9123219975454925,0.8435771754672159,0.8043915118124134,0.6840426692306398,0.7106380079537716,0.740038102510287,0.8175434695504042,0.9294771413164098,1.0503176943823953,1.2138584215595454,1.6513447817678772,1.6762954604227345,1.3675989641452595,1.2967349992242418,1.1964458998833174,1.1706011792778537,0.8740125032300816,0.6737158089871599,0.7614454155032866,0.6699064940571843,0.7063204217209342,0.7268345631289599,0.7554784184728432,0.8789217842382112,0.8463265812633952,0.8448320523708732,0.787734665302573,0.7912690678100717,0.7582443549829827,0.8182275490811475,1.0729563233184567,0.84632012946525,1.2093335752496284,1.74561688331099,2.0984360758644507,1.4625102616256556,1.162180883655908,1.1373989609158057,1.1074383751798966,1.0101692680818508,0.9582422347980502,0.8206719677787597,0.7787786131543589,0.7357106503582387,0.7211548036525662,0.7273810319897429,1.3009245105220684,1.2444576844799358,0.7887404091528842,0.814070561189195,0.778534608260264,0.8349243137170796,0.7989941879698222,0.8394408702674525,1.004162893128641,1.0635783237637353,1.2284086192406658,1.1753568048388177,1.1972495835901675,1.1708356640576203,1.4642176137853244,1.3945975554320085,1.0419471634267015,0.927617992730814,0.8945574081961449,0.9331571931374637,0.9104402152408675,0.9378322042043709,0.8879496121198449,0.9329757334115503,0.918867447219152,0.9861540764183384,0.9464820904494249,1.0329359491014027,0.8198732056658371,0.9053759298705767,0.9900501871908048,1.0096641999557054,1.280008555047453,1.4616208579653012,1.854929188702304,2.3040960009090616,1.9673066209457966,1.9515940199048565,1.770013779105922,1.4164413738643653,1.1511499143373962,1.1883797939890468,1.4531020891360138,1.2938954487656333,1.2723581066280436,1.2942055609041452,1.1379977536999253,1.215670851793804,0.9976174888628101,0.9047060091964979,1.0941288114281325,1.086666588065879,0.878799764678502,0.9767909207734368,1.1512113941624549,0.9709879123958651,0.8692526767101397,1.038948841590584,1.0735729612268683,0.9181064863303557,1.0725315038986072,1.239738895475602,1.290680553755961,1.4038928530662609,1.6337524148716944,1.467721086861348,1.5117294997245732,1.7761077549218824,1.793966035736294,2.102966312158424,1.5278815614705596,1.5292189988288285,1.5152117824594749,1.4772101366198174,1.6868343575224731,1.720053945527557,1.5975292147011608,1.5924958682855044,1.927894249721456,1.8527224101403827,1.651559946586163,1.8859535316264362,2.1941597639042376,1.9784773777252658,1.7325842919303764,1.4695014700588243,1.3649585418786407,1.3697955261707164,1.3176116427871754,1.1971728114361846,1.216999759677474,1.0798556295538413,1.0813473573238146,1.1121211543579619,0.9653431170975622,0.9559522071036765,0.9366870202749717,0.8827151824415996,0.8814551643124735,0.8607008517372501,0.9794027970783961,0.9347265040128628,1.056437539676741,1.0031874092416069,1.080575006295655,1.1472614014738605,1.1930984261149036,1.149345712610435,1.3102336970583697,1.3897011586331802,1.25140289007003,1.3486826166981405,1.5171389178240686,1.4894801625000205,1.4471252671034216,1.7001315398290768,1.8866234265178852,1.670961591496476,1.7701453761966153,2.1438196631093627,2.1769859538582126,2.0035691940259426,1.8146479069289887,2.3872117984642407,2.1237879615356787,1.908305987812497,1.4279512602803368,1.2423140183965165,1.0497588542918104,1.2159054385198433,1.2132493346523001,1.515416588794496,1.4792375529553459,1.5450453580827057,0.9485177056656741,1.0102345034482447,0.8021872301655986,1.026219229895896,0.7487415543207447,0.7282075109282602,0.7152848857192596,0.7066716426200433,0.7597143220829597,0.7365048980717537,0.7754022652658416,0.8056532565339201,0.9036069110375589,0.6462929846907712,1.6601872575483612,1.5155976346146844,1.959309498356457],[1.2405950045284595,0.7281537285969024,1.0168537062594394,0.4016667329302236,0.982500499372789,0.573198752371759,0.6253013809742783,0.6590971756429059,0.665735236818799,0.744520859705581,0.7817760875203705,0.773147143180179,0.9158971806666139,0.9604838326858348,1.3502931383581562,1.2051037500038766,1.273493093426501,1.4709199761479228,1.6818117640363006,1.6589921927897495,1.8720974327078796,1.8750125033838831,2.240939417058796,2.234017419068686,2.070504085835611,1.8712635230034187,1.6827246670872145,1.4555730912457907,1.4193841014253363,1.2255056167688063,1.441031138617187,1.1698131528838398,1.263527027761175,1.3907580795976537,1.3460329633744264,1.4227639419172804,1.2946176495022654,1.4255402240449562,1.415466421074025,1.6008792564274668,1.6899152118851093,1.723373396358013,1.8284767138465072,2.278203357767488,2.488858750749272,2.6234091853562123,3.228119390196243,2.4694626276672853,2.2746484063076373,2.692215210198226,2.547870916230438,3.2556607871941305,3.0553368676235944,2.8455283836920713,2.9424121849477287,2.916447168488656,2.9810256503315298,2.6476212548493034,2.7638164253188036,3.0012577020351032,2.5557594732722477,2.0695129823001244,1.9271755486181554,1.9122345052970753,1.9864227237213872,1.9446056283410647,1.8326718096512704,1.695255985413921,1.8051682103035376,1.6925888089822525,1.6821804716225854,1.8795098242206485,1.7200848887025086,1.8915760600245044,1.636978680945289,1.9727740682004369,1.7705455362016154,1.697681650476634,1.6444282912612465,1.7108822564268964,1.4607050797684356,1.532393967514383,1.2871752872414128,1.4832632885097523,1.39692258013717,1.3494135932962896,1.4780314111049486,1.3846661694241615,1.5094793812438263,1.4936796857412202,1.5775009512933091,1.8398868409576352,1.7901753544877268,1.5025231388271854,1.3456102027868753,1.3423493544510803,1.3051386405125944,1.1932605708667694,0.9961972318897122,0.9121387213822826,1.0170102588560597,0.8896764686539901,0.9542487354189959,0.89855381486527,1.1258390084573342,0.8657764937340845,0.8450703950085873,0.9859473436978075,0.8862656494356022,0.8200435705396916,0.709596557234779,0.7825260593053218,0.7832337698244195,0.902666894169564,0.9996188627028048,1.1206066342593317,1.306968373633902,1.7828090027281658,1.7649484635280426,1.4709906724465842,1.3590737827228263,1.2567977023047703,1.20544112956586,0.9003819913434155,0.6773595116844724,0.7959625728452424,0.669260426287619,0.7635495183868812,0.7803146139578886,0.8483211903552329,0.9561202892839572,0.9347975877069918,0.9460158901305668,0.8997786627545955,0.895006247511188,0.8492052929015911,0.902221770363406,1.1669175872769564,1.041965187718098,1.3470500451976044,2.083347110267694,2.0363105833429413,1.5582640744217944,1.3252927041732367,1.288296348701857,1.246941639576636,1.1332799903921602,1.0602547461617635,0.9083391107340096,0.8253482337462682,0.7735743539874678,0.7205111955116433,0.697335258195746,1.2256883916708423,1.1806198890422988,0.8347473381806836,0.8738377732119471,0.8517181086851434,0.9256114148235247,0.8848972681800226,0.9545537845311154,1.1339369978408511,1.1893498418222526,1.3780478030331509,1.31445918962537,1.3219619645892096,1.2858978389559534,1.5634504053508216,1.4428839664279622,1.1011809513708375,1.0037719064934836,0.995276628917301,1.0465656746697667,1.0349471073528282,1.0693486357492632,1.0149101867098855,1.0408793600927386,1.05129628998939,1.1260181031091272,1.0968352126608931,1.173996963245932,0.9430700077335629,1.0336013631488468,1.111863849992038,1.1359615567156973,1.408434563838753,1.6087559103367193,1.9998914111107948,2.3750171643569984,2.0201782096918994,2.042579397484158,1.8066908404976167,1.5000699899618364,1.2366884181531244,1.2788894078166155,1.5736822833378261,1.4114892676240023,1.3795823968551315,1.3791705008032848,1.2017679127533774,1.304084234735652,1.0642486852167778,0.9371371777526438,1.1458356629860127,1.1457654374231006,0.8931325166600734,0.9675775432535831,1.1800337357950834,0.9904523633363312,0.8304640768076731,1.0266424389083888,1.07534528844597,0.8492171810116749,1.001661581820655,1.1876457279163637,1.2103997039256393,1.4412798733728331,1.7168661095080777,1.5387981770660073,1.585983428606866,1.8686343749503618,1.9262982242450195,2.2388492853539295,1.6395112246790766,1.639997844687948,1.6498308333279512,1.596949972188633,1.8379472074061536,1.8635654730161004,1.7174733523483943,1.7227843224309656,2.070333483715747,1.9762848798593002,1.7810086286354658,2.0341380671859235,2.299625842400933,2.114746576259757,1.8383438908236458,1.5716646745177212,1.4747778645459084,1.4881764987215327,1.426249233026538,1.3055508772387592,1.3108529126017086,1.1756640857728096,1.1648825296791223,1.1911846833830255,1.0272351880838662,1.0004547376890878,0.9884940347111433,0.9120439488548221,0.8866614933455921,0.857288122599431,1.0033270193321095,0.9242896840649077,1.006804566911439,0.9849606673462447,1.0900603214447033,1.200474982311362,1.2579031655977662,1.2276339217657617,1.406559266340391,1.466729063540499,1.3108486484480402,1.443329297598667,1.6229257601651954,1.5824626544244413,1.5394402489870174,1.8190870647405963,1.98947679384695,1.774655078763271,1.8630715621633975,2.277975130037623,2.3043920443947,2.119631037981274,1.897127180173184,2.5522432335771383,2.268944374106063,2.000117749476864,1.4044666361652385,1.2463447772026348,0.9572115133477246,1.1179220156605594,1.1703233173227583,1.518130451985146,1.4803465087701952,1.62848332092584,0.9142734965390463,1.0466256248732053,0.7862076286211371,0.9731229986853032,0.7479200690552495,0.7115887886108864,0.705030714189136,0.6566210022254371,0.660240541062408,0.646779134883752,0.7540822457368508,0.7240201615893018,0.7741322347413746,0.6384250396017708,1.81146470719029,1.727470061503387,2.1219409123035216],[1.2118330386287601,0.7235896235676728,1.0079452735020185,0.38689121673702664,1.0005610965224405,0.6030851599701695,0.6560715756899105,0.6791178889887021,0.6820539130660133,0.7429082527228825,0.7685595853149072,0.7731112810373683,0.8984106981481618,0.939430893878558,1.2932368206875515,1.1468650508942808,1.216395328765146,1.3669998296329149,1.5499378382732112,1.5205628015246215,1.6887308290556868,1.6716188542451575,2.0138126110730354,1.997235512558099,1.9073008913056422,1.715962278581041,1.5625945551637728,1.3676903832409733,1.3355265293491028,1.1595621305422765,1.3376890978771314,1.100875711039173,1.1756234817509181,1.2715744817640986,1.2457894315662423,1.3139550115367853,1.2040884616654735,1.3040203518496365,1.307119575369239,1.4737420610375722,1.5606056436858768,1.5740560146369298,1.6490240900725315,2.050149759403759,2.249096158805913,2.2999490514175216,2.851746942183032,2.1266830939541705,1.9656788925935091,2.2992882232843317,2.1978506488424956,2.9659333798661196,2.801784686630162,2.6810063741302574,2.781576997406222,2.7026912743595584,2.7772035375248416,2.458013187160327,2.616330164766188,2.7609902514638662,2.3445418240124356,1.8439191734663158,1.8008993352639007,1.6865566707771267,1.7479905418560304,1.7880192361780485,1.6391840240609739,1.534522738648456,1.6423653771631894,1.5523027182055882,1.5431113805426386,1.69530401774564,1.5480791976279926,1.6985666579728864,1.468821531857658,1.7812990766239467,1.5840688801324223,1.5198844045204292,1.4795130219603185,1.5403642639918327,1.3114901839965538,1.4034996173664638,1.1740244228285128,1.356596593938954,1.2920764831665443,1.24292295954875,1.3514556000666662,1.281742900799426,1.3758993956298404,1.363001501948779,1.4312663361403726,1.67285638935393,1.6464118115064805,1.3830873444857492,1.2602808098448801,1.2529592129326512,1.2375962964548566,1.1368011377600835,0.9623633096326718,0.9032751148890822,0.9828960502695432,0.8851409914517541,0.9172753354694623,0.8736009629302056,1.0665059915987378,0.836946399462761,0.7918139485567357,0.9380009738545384,0.8542291955501693,0.8052866948166603,0.7034663307160316,0.7700523949695386,0.7964446533670924,0.9076377765828423,0.9985591525380872,1.1188997321898435,1.2700466347256043,1.8896783356063704,1.6633309967080032,1.3840715556881678,1.2988008833464602,1.225462351779159,1.2096142056127193,0.908825676802423,0.702973092812408,0.8193490866013622,0.6847018404776392,0.7575864548967616,0.7526506835048847,0.7880726719176596,0.8975949408590127,0.8554417274643337,0.8510365200691731,0.8089819021043406,0.8123058657819184,0.802335289310101,0.8366456263908986,1.1484703823542826,0.9702258042331772,1.3118859723172809,1.9866107853286488,2.019327319675664,1.4639460565536033,1.2623760127923305,1.2007889506856235,1.1818114585034645,1.099394504485588,1.0345239507353632,0.890199331857618,0.8310597768376901,0.7806382558585848,0.7338598827480292,0.707198007645956,1.2317511515352777,1.1756968851538623,0.8359382114893912,0.8667770569830875,0.8398025860368874,0.8982863656925034,0.8705554046848294,0.9162127256929019,1.0773077225289374,1.1501502818089084,1.300566736074928,1.244640602286667,1.2976037430679368,1.221545156843508,1.509053284890406,1.4186243517893704,1.0913834323485598,0.9635963773373405,0.9688957752765881,0.990298678956105,0.9676728658967405,0.9953267594758094,0.9465766227835075,0.9847870613765599,0.9780792566988821,1.0377701017033722,1.001549739780476,1.0801325312147136,0.8778779269239794,0.9378848767522822,1.0024701093256236,1.0331660974519579,1.2980182363086366,1.4973986297870872,1.8275710187512728,2.322726198717937,1.9041563088613485,1.8702972727112004,1.705601756324455,1.3952352644728512,1.1443692323531218,1.189531802439359,1.4639378701657362,1.3233353560200836,1.300387916871138,1.3137693857836592,1.1594217411066015,1.2267845544837175,1.005326568125972,0.8976519530918529,1.0865128658548455,1.0720966512970727,0.8473756492196302,0.9195378688202319,1.1089334441350271,0.9233468948061647,0.7874372660531915,0.9635123953419651,0.9958719835676823,0.8019750963970117,0.9383505266483966,1.09759292866594,1.1222096764156742,1.3299830661104755,1.5967115474236266,1.4291273794187165,1.4552579031543924,1.7102868803430877,1.788673820124856,2.0593019291560455,1.5060496033901982,1.5063023061423086,1.5081267722535703,1.479272587648152,1.6812155726216875,1.6986024358713234,1.5949970094639008,1.587582199507732,1.895802197351495,1.8328137697331812,1.6522003297840904,1.879134267691986,2.137371474520256,1.9780681239648539,1.755949612625016,1.480195095871538,1.3839162436688925,1.3832121630680654,1.3268522023853049,1.213448122303077,1.22242909966937,1.1036459008284139,1.090910838753936,1.1102506765628126,0.9698143211554996,0.9557991710945589,0.9272869207346562,0.857411925529478,0.8545467342645966,0.8119497577297299,0.9298501591482108,0.8690502051154901,0.9748619944203752,0.9085000018620684,0.9946058081709991,1.0936186419436835,1.1523433668251941,1.131546436093345,1.2859917578629203,1.3411680717163452,1.2135609132734242,1.3297489095827009,1.4889864186510167,1.4622800913676177,1.4369184540491635,1.6757521078921698,1.8490138913327512,1.6683480453689905,1.745466907953604,2.10382075261228,2.1669746146606763,2.0036781720957,1.831756325289184,2.462303676736016,2.267662145643066,1.8975674461648502,1.3331975337026292,1.1846794877265037,0.9087199527111116,1.0499634835022147,1.138528758301496,1.5118848000225604,1.53768963202349,1.640185380136629,0.8878980685562786,1.0177910157108165,0.7739094536686544,0.9691482894139786,0.7307280686811345,0.689936589457888,0.7143544925714679,0.6684107169340219,0.6596877056145843,0.6630772198025919,0.7738229159380045,0.7551270370178782,0.7955696026710135,0.6861699637373664,1.87957715404996,1.7742714632146137,2.1763463973125874],[1.2015681915612937,0.6900715469072853,0.9706486886392405,0.4100648270522345,0.9379069130343227,0.5929830536185016,0.6100321275359466,0.6128040142264238,0.614665752812244,0.667939179586189,0.69147646651477,0.6927574818870095,0.8039370173578592,0.8629924511342472,1.1897519019473757,1.0386775100561199,1.1120969183399816,1.2609268952854369,1.4640368331577385,1.4348387684357216,1.6165059407782818,1.6079936668021175,1.9632573901918398,1.9543196136055858,1.8519224067129625,1.6523191543132156,1.4844725783577635,1.2789549208763047,1.23877394553119,1.0631790235226721,1.2282019472556347,0.986211183981485,1.0605968886487902,1.162114688601541,1.1387275502750127,1.2164967274582332,1.114919718375943,1.2227047572940772,1.2382473708930295,1.4262047535764044,1.5149729441087418,1.5131112229747614,1.5945644409426873,2.003219417241163,2.25088799667377,2.314811769617902,2.88378638077458,2.109320049093491,1.9340941498853912,2.2858295423264328,2.1678782607525378,2.9295436390842666,2.7607837270698283,2.6216807908976354,2.6929763681249996,2.6372749194517295,2.74293223075459,2.3563055159975335,2.520787843862445,2.700262818063978,2.287804569912501,1.7846034019531025,1.7245217836883042,1.6025382973385778,1.6965327885657553,1.714938266783152,1.5636743792729104,1.4439099215065803,1.5634791384892963,1.471097838408836,1.4808316627539833,1.6407709583170464,1.472883695712937,1.640643775991068,1.3756180853699695,1.713862153068254,1.49182426303227,1.4255904526114047,1.3882118207523493,1.447462627476209,1.2202538116325274,1.3413979579906716,1.0922515585429204,1.2836274304553148,1.2426971365087864,1.1675380313204875,1.2779395131354934,1.2016732019308074,1.2830678139285407,1.2654213016134004,1.3246143964883719,1.584897693277819,1.5454566400249454,1.2689123967289078,1.1496975606236521,1.1633742057642558,1.1339620200183436,1.0067122062220757,0.8425019489843001,0.8098207501092927,0.8729201036453438,0.8123044510570678,0.83089372503373,0.8178402785409453,1.0197616595744807,0.8117728748811127,0.7905106850168105,0.9348640617955021,0.8739413564103131,0.8237122398014719,0.7141316107333067,0.7301760418726844,0.7298736067386322,0.8260800722124882,0.9030988934247877,1.0385697801332499,1.1813910432187267,1.8040472337518194,1.6066172204710822,1.2880062385617286,1.2216949586730028,1.1340112956282982,1.150753165241283,0.8446074082587116,0.6375581368994149,0.7783825916933828,0.6753927232703643,0.7407776711579697,0.7605607612367986,0.7820771202120248,0.8824611084141356,0.8447621006808985,0.8377356003985676,0.7987959895565871,0.8089618181116847,0.800408112180249,0.8266771040353924,1.1311634914425481,0.8768812210164297,1.2425330760393045,1.7960346542679153,2.0629409616712215,1.415042545867289,1.1793610932705216,1.1435754338839323,1.1022978141783544,1.0206921654288246,0.9453213235586343,0.813022571310606,0.7520969553235365,0.7182458660981079,0.6640021518803263,0.6446633071989852,1.2274466439072866,1.1464745756833816,0.755490566808601,0.7735809903754376,0.7636291440703473,0.8033307549317774,0.8213798645541225,0.8681019332015943,1.0068284970757722,1.1080719463431743,1.2533802574329351,1.228696376711685,1.3138314823765191,1.2607353327743054,1.5893854743471585,1.4967687905700457,1.1585347747245593,1.0032500604735723,0.9771177139303733,0.9831588377765802,0.9437543748005742,0.9464428307032792,0.8907729142497204,0.9185703051644231,0.9151828095193628,0.9841513956061203,0.9591302570127461,1.0509281266809238,0.8554341342036693,0.9348275319570521,1.0063449439551815,1.0291169180308506,1.2866802364018113,1.4750962234578768,1.8233103102470931,2.3504925580598166,1.904141693396064,1.888276811539632,1.6781248912303364,1.4181139075047557,1.1446560088274196,1.1381356994797456,1.3852630137295612,1.2480706212313284,1.2405047665279867,1.2775965537077043,1.1543437265041594,1.2279299821345018,1.0283055992781065,0.9330877258537609,1.1140032092616994,1.1180324760595841,0.9084148422032797,0.9913945131833894,1.1784153441331096,1.0056853605874039,0.8826912154024109,1.0659423487310928,1.1110101114648592,0.9246267964522729,1.0891044653131985,1.2404970795309735,1.2537746596508097,1.4624296447697243,1.6689907316947816,1.5023518016367938,1.5448745574091107,1.7887483243005868,1.8507384842172265,2.0829269809354267,1.5537137440532476,1.5351504861751424,1.5114151206109163,1.478854058528903,1.6648683760868035,1.7036809243139885,1.5807836520271654,1.5725361222610217,1.865203074818302,1.8086146784120842,1.6129542192831259,1.8112199805047609,2.127037164782478,1.9201431647695033,1.6753863414126122,1.445312189167931,1.3403129322203113,1.350886720624606,1.323251235507567,1.2187672568093297,1.2287443568740648,1.10981523267655,1.1042146461178866,1.1373670794456652,1.0015715513750731,0.9928417711224561,0.982491275836506,0.934674884938652,0.9226358539959763,0.8965728877755065,1.0246465677154717,0.9796267063319332,1.073305907300318,1.039434781227822,1.1276854374652368,1.2006195476949568,1.2306341886890046,1.1807378844157896,1.3242313601908335,1.4104613922736517,1.276455802020342,1.3577063296411094,1.523494682663084,1.5051898041624658,1.451241051778367,1.6765409451969417,1.8698157551343677,1.668518519474673,1.7459458426679861,2.103342688306737,2.1653948176013706,1.9921821721577198,1.8264688300347245,2.4037377603501477,2.1799727770093167,1.9470661034025791,1.4327142903627101,1.2590322528044273,1.023494087552782,1.1712333466152018,1.2199756296617208,1.5491282624254155,1.501253145663947,1.5566455455315924,0.9533402502620638,1.0304207157188061,0.8313825130412368,0.9770729655957674,0.8014243388255489,0.7574624602936482,0.7251365776727089,0.7184980806600488,0.7045332111614523,0.7142942327698556,0.7294017309352038,0.7191960678814064,0.8151631222681719,0.6027394608883975,1.5919003211725191,1.399517216213653,1.8873935171080172],[1.4324984446329787,0.7878044904321121,0.9833112974075702,0.43893347011988687,1.0712736566803571,0.6557482652614899,0.6847192756997555,0.7000864582144054,0.6594401974753696,0.7104823496258038,0.7248437104769809,0.7446186692139456,0.8812349466219247,0.8944114408702811,1.237306877473695,1.1161300375794072,1.2059038815128247,1.3708317075082275,1.5796918506644504,1.573880271549139,1.7688909985648809,1.783913945323335,2.145655812681293,2.1579427679002188,2.032723357681134,1.7976556256766174,1.6323322548184447,1.4077609832683704,1.3630570277621534,1.1717124346313434,1.3171040030530416,1.0889539016067673,1.1502413644402858,1.2639143020001413,1.2609462727215297,1.3401757268703292,1.244297665400203,1.3738454342138173,1.3989236069458464,1.6147676772208464,1.6955463415028285,1.6809217507624252,1.7890564582310633,2.2197033736715444,2.41855862173324,2.4657550659404364,3.0625836929060632,2.329542478505269,2.1195884343385094,2.5076416766831406,2.422323157629599,3.1470006211897257,3.004720156023986,2.957022152148957,3.0200487778950373,2.910071007668667,2.9541105358203414,2.6417513990984047,2.7886336270220795,2.9378762646020062,2.4822274078624194,1.9492822153346094,1.8884161695954937,1.7863220600893897,1.8510777038759099,1.8822428064665286,1.698078576050279,1.5620407309238804,1.659028623804978,1.5337522150926264,1.528601079440607,1.6827342027943237,1.5341973588230335,1.7164609001781501,1.470872214904734,1.8113032421209077,1.6310483427657205,1.5545460798524005,1.5371156805850246,1.6310822865107788,1.3961741504739034,1.5246830201014214,1.2586357182348027,1.5019732614751247,1.423145260235615,1.3416598573288783,1.439728939918476,1.3470222813178414,1.4284424547308268,1.390559645912668,1.4391360701237084,1.6699047493577104,1.6180593400282348,1.3388892531393488,1.2134748084426183,1.1903410692598164,1.176832131049897,1.0887584173424978,0.9238849252521377,0.8897746435472053,0.9804828550988104,0.9221749121573534,0.9654672629598684,0.9567793495021265,1.1942704641397208,0.9518918844217354,0.911545780657347,0.9933299982708448,0.9392613431346817,0.9440063294805225,0.8352102027902938,0.8639621852787457,0.8417405037392811,0.9535831609293323,1.003799975100859,1.1339323409588362,1.2835716051341113,1.9373828622039366,1.6879917338323471,1.3868888456464614,1.2878444980192976,1.2022475234773933,1.2013283064405118,0.9017573637548201,0.7045035463846788,0.8718874087728762,0.7798582329216884,0.8705269287484584,0.90591896583769,0.8777244380364675,0.9483015742636776,0.9416629200412476,0.9629114580702639,0.9324633239607554,0.9409842302027519,0.8995143009188601,0.9131173084713795,1.2012626510430415,1.0248945328615098,1.3922045905004052,2.1220714106995713,2.018515416684746,1.5127740581601063,1.3429313257072952,1.297408551769986,1.2423597481573714,1.1525298416043077,1.0656455989252367,0.9395943151820026,0.8557683023745098,0.836914319439272,0.7390211503561315,0.7378175049303538,1.2223778240106884,1.1372229221877912,0.8450272718729653,0.8716471047851985,0.8837750042317392,0.9281939980893886,0.9514970330216115,1.013879719616777,1.1544669365528402,1.26127223144939,1.4352749626775212,1.4365426848471805,1.527345987410549,1.4680222880891791,1.8045366776967633,1.6409026256331318,1.3122493731518587,1.1610318630662693,1.1496844722361281,1.1517286569519227,1.1061833244339363,1.1092581365727654,1.0475270182573657,1.0480947638156664,1.066336503130027,1.1516529136795963,1.1354060064111844,1.235638080085509,1.015865046905655,1.10350608284784,1.1787077971271118,1.1978154205517777,1.4502008048583404,1.6481474527076618,2.0029876284215202,2.478040640399287,1.963569395618299,1.996370482801278,1.7247286654434701,1.5461888371214059,1.2654912672131406,1.2084652204054847,1.4275347987135627,1.2839652163657105,1.292035605948503,1.3564446575806595,1.2135540798103268,1.339218415381358,1.145434211178164,1.0298478035147756,1.2240778539693469,1.2519023509646607,1.0229683733250983,1.080008962712449,1.2996239885785619,1.1492468882788274,0.9923821814426707,1.1811216426332607,1.2506337673658965,1.03454192743366,1.1850491960691034,1.358403837535168,1.372474671319231,1.6096847113054744,1.833846501376921,1.6558767347299095,1.7232856383923,1.9811052487983065,2.0371471673430297,2.316504014690239,1.727003567165049,1.7122683028548158,1.6937308989764122,1.636958075255238,1.8495654814372187,1.8808383300519873,1.737381085803641,1.7254244429296957,2.0429109129013368,1.9600028542319126,1.7497528496816768,1.9638595947435253,2.277809494750948,2.059978490362118,1.7416293419301083,1.5534058023112416,1.436330081122276,1.4741062533695144,1.460801351273914,1.3484446072896117,1.3798106372773253,1.2390232927565399,1.2383101914586387,1.3054752381309276,1.147068471835078,1.12312131137622,1.124100412577061,1.080038204775192,1.0380993910385072,1.0249546372877993,1.1900811723660192,1.12293586486067,1.1759288578155398,1.1856019622765237,1.2962349939974918,1.379363426218431,1.4184371419526047,1.350274788776816,1.507212162146746,1.6020348740235748,1.4377587696530636,1.5239250538299165,1.7066026647588757,1.6771512698154827,1.5987083038728882,1.852360386111342,2.0364242622249438,1.815253446201831,1.888189247112184,2.289005225898889,2.315590797870621,2.131250228824208,1.9197277971777276,2.5314985686895737,2.242100194417331,2.076032222509812,1.5071965967391252,1.3537321041501886,1.1161678915524291,1.2674018856341611,1.2532552469072555,1.531704125764927,1.400290835334869,1.5562105253222225,1.0693932041023313,1.087910344412381,0.9322434635954906,1.1237813949790953,0.900987184901091,0.8736732108579219,0.8123054479221934,0.8134690832080698,0.8057140855691901,0.7917211516541562,0.8236855632429553,0.7882516912558787,0.8776792062992985,0.6749765418888154,1.766459224956773,1.550949210556447,2.071034664803593],[1.5083114243039628,0.8782254814872835,1.047009320969882,0.5079558332020863,1.1565257222413854,0.7212222718912981,0.7928742523748342,0.8129471441528732,0.7710945724047282,0.8267357285123126,0.8419877873173611,0.8663028348732356,1.000084659005725,0.9994820805836114,1.3271781010998096,1.2144280516893882,1.3079604980848356,1.4591325809566786,1.6438482778327255,1.6420739468979508,1.8167969025738573,1.817682703164467,2.1642673883828514,2.175057030325659,2.075563042850385,1.8457406995365975,1.700793216217074,1.491954642697077,1.456386927522156,1.2686622732527004,1.4038975564185294,1.1906009024493962,1.2437963555415856,1.3520546508728355,1.353028884166717,1.4264069976255689,1.3380412342213202,1.4523124213036134,1.4717051505448164,1.668759381659612,1.7459157086940462,1.7357721199015526,1.8331205375039825,2.2331319566291703,2.3893814677827163,2.3846275682146403,2.963022840629789,2.2776125633887605,2.0731552386987517,2.4205315568769787,2.373777971616696,3.1079290075567148,2.99856074062738,3.025491213082678,3.093942449041188,2.9438701130012883,2.9679726395654993,2.704221400691127,2.8640310455038267,2.9549222883062582,2.5044053968018787,1.983186472771431,1.9666237662305024,1.8346914360444733,1.870026941964222,1.9447876345480621,1.7420139231254315,1.6243882415516147,1.7110750389586977,1.5899532356176223,1.5741382804714852,1.709310578686202,1.5800105651438285,1.7497345857768858,1.5340893468442998,1.8492289176988268,1.696366998800485,1.6225771302505785,1.6090978991751774,1.6972707740757125,1.4674524709025842,1.5911605723618147,1.3272733455183972,1.5652172260472113,1.4808251873138003,1.4188314764828707,1.5117457665555123,1.430702747039849,1.5091201741736526,1.4732501797563873,1.5175597335697448,1.7228649651016843,1.6796262514640783,1.4187984120512436,1.3038649905903719,1.2681456921336596,1.2588658861222743,1.196740595905234,1.0365417592747321,1.0005647561539626,1.0912960535090497,1.0190421176650133,1.0660458578921392,1.0409422297669721,1.2627648184739328,1.017726464284926,0.9415369725944196,1.0045284370630083,0.9478511945863344,0.9819237153035768,0.8865409393235082,0.9470904936320157,0.9495751320141895,1.0653925906416417,1.1223629355019291,1.240982299066201,1.3838485931746785,2.0910735800329068,1.7399522855980487,1.4727208831547551,1.3692945578431877,1.3074808442726085,1.2996207067773669,1.007931308941397,0.8195623693325532,0.9718016829218038,0.8546006013076654,0.9431371210852625,0.9552799056693702,0.9121448429177464,0.9620820248551812,0.9529154020865063,0.9779262618129103,0.9609548715818786,0.9732690385373984,0.947153688059636,0.9400556220135311,1.2356382850746497,1.1074481373926912,1.4789674253400766,2.279014109449348,1.998530995331235,1.5563791787265713,1.4428696272457788,1.3799237346541284,1.3325529652925538,1.2512144020253049,1.1660120372537737,1.040039957893362,0.9675352615897906,0.9336205337782092,0.8457055277145752,0.8343296552609032,1.2581605158980915,1.186907356589431,0.9536011851195353,0.9822954858532964,0.9874579052779172,1.0361215261409429,1.0392697096130965,1.0998183763491194,1.2441930782939596,1.3488436431257955,1.50974968176079,1.50167704153455,1.6026169127571763,1.5123462685013198,1.8371894592947067,1.6634364107173576,1.3631768636506625,1.2056617941971999,1.226712348450823,1.2156277267976863,1.1725806244180739,1.183827198990056,1.124925542278021,1.136682330531557,1.1460125787167055,1.2197913097821786,1.2003450656666537,1.289557411817795,1.0764013507577956,1.1374906739485842,1.1977910918350432,1.2267172198700866,1.4727218469793029,1.6842462399364642,1.9988525153334475,2.479938576641052,1.9369542568156164,1.968032238380695,1.7064404041652312,1.5397653902678898,1.266715795248174,1.2070992999945263,1.4349203031117956,1.3021020649426072,1.3037825771211462,1.3605591096117124,1.2095505424900297,1.3317394457341671,1.1375963412648327,1.0211012188834994,1.2063366556492419,1.2298935380975253,1.002516234638823,1.0504252898733066,1.2634890039298792,1.1148073496791595,0.9573396080326223,1.1322194932575906,1.1952533894261799,0.9846478226936703,1.1124281627817267,1.2851649333079684,1.3006438332053265,1.54134801233784,1.793179943815457,1.6169244188143708,1.6755823042152616,1.9330168051782253,1.9997511891847581,2.292664787008598,1.6937716867504233,1.6853994570486068,1.6779558142879967,1.6232241231393767,1.8367453387839923,1.8623482659264574,1.726469626152285,1.717562314777514,2.0314625061500453,1.9502622813840391,1.7500477704206279,1.9646648499861517,2.260379830363373,2.071468610678335,1.7580113975794842,1.555917280304009,1.4455932198005894,1.4761624364971884,1.4551585140683507,1.3507393854348835,1.375216350119326,1.2475883548503557,1.2401097087700161,1.2958871561940408,1.1471874690340336,1.1225678180051277,1.1061279769359376,1.0554857471666599,1.0179556443967521,0.9956310529606832,1.1511407086325163,1.0772229261308073,1.136565505565626,1.131204609639467,1.2394957712260892,1.3310119201908286,1.3779640037732384,1.3242772839525263,1.4853649666599427,1.5586716726046947,1.4038793028190466,1.5043929016549877,1.679496688278961,1.6473809590356026,1.5821226977472571,1.8383516134513382,2.0201601312511666,1.8074068622315012,1.872047750322462,2.2693320217786925,2.305309731165537,2.1307726634553146,1.9164309083371092,2.5700907714641774,2.3015950686058004,2.056096050969686,1.4484001168803255,1.3116055609376571,1.0648667780059973,1.2114192902935546,1.2041612705103986,1.499083676509368,1.3929514605172038,1.5731434124468413,1.0640263591293957,1.0796431378679,0.9462266540418444,1.164539664437133,0.9024961896919889,0.8769499032602607,0.8542180699144787,0.837996536254258,0.8281434478098332,0.8141780577870285,0.9287277502838642,0.8490946593586691,0.9195229048970264,0.7869635956929038,1.9833157503583339,1.7903504773499235,2.282238209397719],[1.4561440198153432,0.8051035023164539,0.9863364141256739,0.45962633801853137,1.0663630777405073,0.6918051169293623,0.7152016138833137,0.7195998682455214,0.6837215599661755,0.7124324329883112,0.7186577999360453,0.7474893704257055,0.8415824798211743,0.8522245292993371,1.1338255725484245,1.010306110217809,1.0973089846179336,1.2035537522270177,1.3808065953075077,1.3656371305736381,1.5175140337595967,1.5292990006469311,1.852088672213592,1.8636869941833663,1.7903028676619759,1.5691543104678913,1.4405755329899548,1.2556343381985255,1.2212616052518483,1.0544996744568316,1.1599134173539354,0.9732818507502368,1.0190603828826679,1.097947254149036,1.1099442789945473,1.17286121509788,1.11951069900217,1.2165859167200133,1.2385033951508315,1.4246739761715745,1.5170759379332166,1.4787987489961074,1.5559452238304936,1.902048149590604,2.0963164782370285,2.061070061826162,2.5989956960686356,1.89031894821946,1.7317574382843464,2.0483105709402305,1.9870450543286868,2.7576533496980913,2.6735951266316524,2.7097125026505657,2.7844240957087796,2.6193108132674885,2.6654331113716796,2.3757253807655334,2.5866983985274863,2.6257087966385093,2.2004957205396765,1.688872589304047,1.7163378201481079,1.5330324857445399,1.5712145810316642,1.6580584726262722,1.4413224243470892,1.3362192152228147,1.4342257527015536,1.3399615940928509,1.3415842041697517,1.4726575609903731,1.3264406942938247,1.475703745809961,1.2455767064157355,1.5664093408957458,1.3837311144353401,1.3235009083480491,1.3230498763798724,1.4013808128879504,1.2043991281527062,1.347430070434683,1.1156317238386753,1.3231006708888267,1.2548744427188505,1.1918213010855698,1.267554275711833,1.2139868806518892,1.2364111373460909,1.2064050887157032,1.2269843828526414,1.4349875250871607,1.4091250125765165,1.1671202371176221,1.0801561720302286,1.0674001490728144,1.0842020166726238,0.9896793103924385,0.8623238773668745,0.8832314654550724,0.9130508889146646,0.8980120030164306,0.9074708430358076,0.9216378671733744,1.1268748592456614,0.9097853523542574,0.8747530476104152,0.9615490051433341,0.9276278579250627,0.9321890393033,0.835206204911973,0.8394609328875663,0.8398517581098146,0.9305641073728113,0.9642614069748646,1.0807654857060878,1.1876923971519981,1.976136426438068,1.5153928974290678,1.233614062121143,1.171523547470231,1.1234971761798496,1.1624367265320288,0.8865224904585011,0.7243680837989874,0.88208610233943,0.7944469728175398,0.8715889330122963,0.8903133441690942,0.8415940394937803,0.8911269510847704,0.8641810920293888,0.8720218026633648,0.8572806634587614,0.8780045287562283,0.8754918693062984,0.8813393984796565,1.1822265518356596,0.9538765624755035,1.2943390295232775,1.893761365723438,2.0106281527699874,1.387469472393605,1.2236581500144597,1.1694411331099064,1.1323814608091558,1.0733950640051904,1.0012423242611685,0.8978631126144991,0.8366424240168981,0.8296035874564978,0.7405331109344995,0.7378657345457698,1.2521734014480457,1.1301684067235611,0.834526939800027,0.8431371493394804,0.8624804395030914,0.8715369722109045,0.9164484063967646,0.9565203127587655,1.058734940654012,1.1868608649524366,1.30547773375545,1.3199022792452952,1.4613466579975645,1.404728841122766,1.7696404941229644,1.6735561596893116,1.3483413764868133,1.1499379082669139,1.120408783944055,1.0793928326589735,1.020394712430909,1.0089000129146655,0.9659438203417025,0.9714712479938965,0.9788056710574208,1.0275707752141454,1.0266364680380462,1.1092073005963567,0.9420406388196237,0.9893496108643584,1.0469281887910433,1.0710798756601638,1.2744944783235908,1.464070161799786,1.7462919844574794,2.32872575740219,1.7586696026245974,1.7726993741744397,1.5319257634398042,1.3895614000721646,1.150669044092892,1.0845626707997593,1.2886995698866384,1.1670481518470515,1.1878253403114842,1.2677925897264246,1.1630763050244886,1.2567036147491795,1.0882612495434625,0.9990399505507791,1.1641040046517155,1.1806087272856947,0.9906313699477352,1.0444840244833349,1.238885572661686,1.0956368294633723,0.9655112196815355,1.1326296280900694,1.1905033555312772,1.0038702320182038,1.14404418889704,1.292081835694972,1.3066362427043212,1.5146781471092545,1.7082904895438227,1.5504520222709952,1.599483964333841,1.8216795984190592,1.8954126042154094,2.117635731789842,1.5863151649949307,1.5669422329212306,1.5426568773568785,1.5112488946900309,1.6774244790487949,1.7112219344941466,1.5971186599204346,1.578862995373423,1.8458487089177755,1.7965283067917743,1.5982011124882658,1.7640524118626897,2.091613433473137,1.890393168825915,1.614821737842157,1.4386108234741422,1.3257631663000125,1.3516595710317076,1.3551657675534958,1.25102424508122,1.2810737872761604,1.1746173781752653,1.1640264554919848,1.2247830946007068,1.096530183037609,1.0862836136567908,1.074589438345313,1.038461326303979,1.0156456969283107,0.9962834062424981,1.1325853074987031,1.0835029113751642,1.1570074168644096,1.1327357216764176,1.2228357335316662,1.2895269229067827,1.318110908487219,1.2648946460971817,1.3899581349012122,1.4771273347857987,1.3432507927439759,1.4064486360171533,1.563183315269448,1.5490261409796087,1.4846991541109158,1.6900399111708728,1.8865924745095783,1.6909507230060923,1.7533056112761152,2.08262985450752,2.1570389382310995,1.9879648818871694,1.8309715869055612,2.396543065730837,2.193514015097605,1.9605956282005692,1.4395323924859866,1.2921333264224144,1.091304358968612,1.2310529195007425,1.2190090443131139,1.5131285547640057,1.406687104121721,1.5092861120589367,1.0385235780555886,1.0551030000619197,0.9463321924602145,1.1102884671883542,0.9022443975983216,0.8696505483535386,0.8248484197613569,0.8405769916010859,0.823497525680896,0.8243562664176183,0.857394601066966,0.8069835221328778,0.9182706124311039,0.7025319844867238,1.7570412119897467,1.4873516965756848,2.0603051142125692],[1.5022971043655735,0.8063441938317449,1.035164962231463,0.5127146242967178,1.064011224127553,0.7089657602422572,0.7105704948164487,0.7208196884262491,0.6632728924914495,0.6948261024244764,0.6971340777369781,0.7278318004822787,0.832283893332051,0.8358379865076326,1.130580393070064,1.0169486605379106,1.1255775230624543,1.2567718154911787,1.4676793593652586,1.4718738743566593,1.662504294780994,1.6966024215085425,2.0476795886117736,2.0817787636625673,1.9642411116511684,1.7098337407222413,1.5530835648417018,1.3302468224179742,1.2770791627249758,1.093072354421205,1.1963653970544113,0.995969418439431,1.0397697234220415,1.141752342291578,1.1627071864034926,1.242816829335346,1.1766287883650082,1.3030508142180413,1.3448950258847139,1.575418415416068,1.6703707427079264,1.6214545122324167,1.7294995495679355,2.1206612660470507,2.3330105068158007,2.322262719223158,2.9075480702377496,2.1757965384197346,1.9496601854374183,2.324742281995653,2.2645364366293834,2.9775211815822833,2.8851360287774788,2.9472124538372535,2.99741437495867,2.8374915160598455,2.86581863670752,2.5742224837088012,2.749129436501,2.8307767009154787,2.3764527010621603,1.8382188842332323,1.8351318993695973,1.6873656815748885,1.7335686060755344,1.7967721752777956,1.573558995181645,1.4297382446254514,1.523652477787997,1.401398487515264,1.4114513734048209,1.5508201851454275,1.3970440634510706,1.5719038100050344,1.3264524585619695,1.6673115303018649,1.4955524684178683,1.421247218334644,1.429706583426088,1.5321690474123157,1.314926674706432,1.473791958705689,1.2104687138759203,1.465742527423661,1.391114058660943,1.2972334600167996,1.3778821412691646,1.2860973668273155,1.3323478987351913,1.274677961695247,1.297026973883459,1.5061321379208952,1.4546286831479156,1.1917016448279398,1.0900664418639159,1.0666689749988787,1.0776268139437426,0.9887936839923942,0.8524352901618261,0.8724979289355966,0.9217302147525832,0.9177077592836542,0.945583671239285,0.9726026430632285,1.219663481022995,0.9910323360948916,0.9948344191522471,1.059946369988226,1.0355228931691252,1.0298361384735186,0.9138879997893953,0.888527784045236,0.8522742998618962,0.9466419273841421,0.9652164299439782,1.0965525132503748,1.2244285451496608,1.9826618586296632,1.6074861480210563,1.286714251429881,1.2001745756891202,1.1228001194306092,1.1619292153974174,0.8768162207351414,0.7082893676404134,0.8989874273681607,0.8277363834363473,0.9270947853844621,0.9898573332152116,0.9512466979045252,1.0070939026559649,1.009862899232948,1.0320685395420754,1.0021781207599072,1.0178883403592225,0.9739778764464957,0.9740610589079627,1.2457221901107112,1.006137720220766,1.3681444100637232,2.034208839955358,2.0233972072189914,1.4701046558057282,1.3072683372325076,1.265483279065113,1.2004928671844242,1.1226430550564237,1.0266147912795265,0.9277376977111895,0.838354358157653,0.8549263115164903,0.7372670528284196,0.7632560537585384,1.2719932476306381,1.121011889454646,0.8294689763195024,0.8393232787950208,0.8857559599624406,0.8884019712159527,0.9628664978240414,1.0255107150881544,1.129429728631958,1.2707109348330097,1.4238225831097204,1.4721894389935477,1.6022939124736424,1.5847081049713478,1.9783326865621742,1.8306847808448556,1.470427366484072,1.2864800563972316,1.2352226707588292,1.2073767838035,1.1388779151919606,1.115615902399575,1.0573689806262339,1.0331658393921268,1.0636510532782526,1.13707444105307,1.1552261903411145,1.2531645201156516,1.0561085113063,1.148280284624323,1.220424857717667,1.2346672731074098,1.4419304271804338,1.6213491176834878,1.954056765292868,2.4879297698388867,1.8960710175234872,1.9414535449732382,1.6450266287114848,1.569849566612146,1.3118970236901781,1.2071099704597357,1.3853895010239066,1.2650013536061546,1.3054341992301592,1.389070727943843,1.2728406180513534,1.4195963658109905,1.2485939519857214,1.133756538775786,1.3201250752319873,1.3694564697579563,1.1557452949641451,1.1870069188614336,1.4258720794314461,1.3029970680166845,1.1364171619736354,1.3241029430157563,1.4172636647984849,1.1979940447443698,1.3622787261479192,1.5288926002331171,1.5175625407559745,1.7994696418642144,1.9618423943926133,1.7862201347107218,1.8773292102923713,2.1259492915559433,2.2019337556262255,2.407164859138944,1.8599699096982873,1.8261726673204708,1.7897429601525348,1.7215241839273145,1.912184521276403,1.9580695607584726,1.7949057984052401,1.789275140305353,2.080042008392783,2.0005501855686423,1.7792305967186135,1.9647959891812905,2.3109340585833453,2.049290540241649,1.7167701816931515,1.5863041700246145,1.459013680786869,1.5255393278295943,1.5397285171175157,1.423757554437755,1.475326576284896,1.3272125667867227,1.3284361949189731,1.414688081187515,1.2704347791643833,1.2391418640714982,1.2616534048701753,1.2377730354678065,1.1866546363606525,1.1841711325695876,1.3621785366952444,1.3083415581064795,1.3370510685277148,1.3692744677700468,1.4870738798565448,1.5530961500418439,1.581711726835944,1.4965680586799919,1.6406706279296523,1.7513827732009155,1.5726050173948427,1.6335110006490923,1.8228908176754566,1.7950828292294332,1.6889816580303394,1.9230744816407868,2.1175295029930408,1.8860944375481081,1.944914000353817,2.338946797620301,2.3598324939371307,2.169286461446735,1.9663725077519296,2.517676420920509,2.2094136090495997,2.1548469718262346,1.6103741966670542,1.4589800001192774,1.2282748913338262,1.3599760306932795,1.3275312578391667,1.5670759509208532,1.3754022220689177,1.530871974888521,1.1563667610047836,1.1593618153560419,1.0333382649213654,1.169722102140537,1.0311970365889227,1.008396742282533,0.9139133811987743,0.9207811103434481,0.9063335590216306,0.8967981467633701,0.8497111953298374,0.8070773110895065,0.9297878235344585,0.7230615148785619,1.5862364682061019,1.3317323362607072,1.9218078989398735],[1.8918895444521018,1.1096759689473839,1.140785808112636,0.7008224285388973,1.3348491278237813,0.9049252275704609,0.9450242991016666,0.9723365366243243,0.8753954278025831,0.8767851437965261,0.8792544421385642,0.9424534113519769,1.0269784646459659,0.9844212932827784,1.2632125683010513,1.1795441227219392,1.2756806015666815,1.3927812126192134,1.5614765364452243,1.5791401229121245,1.749339703093475,1.7759449089392931,2.1026024268343724,2.1342651479133288,2.0350004824720576,1.7788808603964767,1.6613624957356312,1.4544744425512153,1.4283063103025524,1.264231940561257,1.336957883683224,1.1886411770268959,1.2161809738880809,1.311673397432489,1.3397652871881374,1.3918442095353458,1.3669216237261224,1.462940014752793,1.496289924170981,1.729969298676476,1.766818498389167,1.7249563830900847,1.8342686158080255,2.2315796124281686,2.3472297232769845,2.316259501847513,2.8721966326452915,2.2465443354925174,2.0720783787473733,2.397278958487029,2.3850935510679827,3.1037794691865632,3.020393614759892,3.198244619921934,3.2379088603118995,3.011288535633203,2.9907741248795308,2.7667158777238323,2.935266318869361,2.976877122505661,2.4771745994333068,1.9472590733992254,1.9511657619666558,1.8279383929968454,1.8176003527182865,1.9085595014767922,1.6633994137550816,1.5374513124021612,1.5998789434315355,1.4866920592811084,1.4614531058099038,1.5904182943273577,1.4669895644900472,1.6379546390022026,1.4285183582154763,1.7584501605413407,1.6226376118656236,1.5555621418795622,1.5802754338080003,1.697241410729427,1.4904391165077762,1.6429603367162318,1.4211230618325172,1.6668944853833918,1.5741595783782172,1.4847840997314725,1.5314764798915377,1.463716154882678,1.4838271420338562,1.4460660894713848,1.4506290808242748,1.6183552402693682,1.5760947293243985,1.339976055234675,1.2454228124969404,1.2019912351971123,1.2072159178483701,1.1686018440577786,1.0628410903432854,1.1146421336268777,1.163773961444052,1.1689127149871417,1.185968888950234,1.2274618884458812,1.4842486664856631,1.2378717345920895,1.2230698546564698,1.2398661275031446,1.200933134424505,1.2437694578972245,1.1342891797356394,1.12988869925699,1.091531180916466,1.166996424498303,1.1544778366150663,1.245562882497531,1.3529699001485669,2.12151204524785,1.6321779812475232,1.3977520048547813,1.3049543763384845,1.266897066444049,1.2764150929793192,1.0241059069754213,0.9013499682471587,1.0948250422320371,1.0462348363006777,1.1589611720115318,1.2316819994911958,1.1687569101093587,1.186718268224726,1.214874862637905,1.2383164869243446,1.224612867008225,1.2159334280568181,1.1558402426755194,1.1443818209549945,1.3538885707936688,1.1918304041760572,1.5088559044568173,2.3085304694958455,1.9910108783693259,1.5480296719350335,1.4676735396698057,1.4094411851223945,1.353386272452512,1.286139916363096,1.2169191112694444,1.1522205425986465,1.075975457935193,1.1012349041125977,0.9897688626029512,1.0265610058561407,1.3742233194132911,1.252026624079859,1.0918452410507213,1.0888162467382734,1.1359073549817524,1.1340459529325915,1.196288578280499,1.2363398692876426,1.3209185104341,1.4398415168207377,1.600132564438162,1.6590656535365291,1.7669140480283325,1.7572955949330562,2.1374050075833364,1.9498155839563258,1.617505384100436,1.4568304089856552,1.4289850231460504,1.3988926879557995,1.336069776548111,1.3175189038571637,1.2787925482925457,1.2428703079822516,1.2883390130169572,1.3446275481692596,1.371150268456586,1.4504270302022586,1.281196367490086,1.3666431098475746,1.4287688143255965,1.4279476990157767,1.59819514700317,1.7565211689303935,2.0804329195362152,2.5760858491181007,1.9887612517902482,2.0499260087619997,1.768650286510438,1.7146872929661392,1.4895507394368253,1.3818233126910924,1.537667065587295,1.3844230703750167,1.4472101646409739,1.5285204064381004,1.4041001369269999,1.563596727004714,1.3964295878945778,1.2699985231249944,1.4249491476511824,1.4793864485339834,1.2515515386089706,1.241939531785372,1.4801612583626942,1.3796176788618408,1.1817792694210159,1.3315208032905688,1.4266106069565938,1.213659725200465,1.2992923573922286,1.488343728848933,1.5078796850425236,1.7516282821477576,1.960835454793404,1.8129984638466794,1.9099641105833443,2.187548633345845,2.226251654906453,2.5644843330324534,1.9777195331441457,1.9581118396957367,1.9505188878997735,1.8838248234295991,2.112436235321066,2.128442594090631,1.964775749360311,1.9502559651701146,2.2368991578589306,2.152701115971062,1.9415890936709457,2.1704138966949955,2.463115104232264,2.2004041389422353,1.8577332341537454,1.731696781047023,1.6290186215450373,1.693481373939228,1.7005254614218743,1.6055954283055167,1.63763530752448,1.5195606211372936,1.4969663513719187,1.5681125901789348,1.4354663180756826,1.3928831899855474,1.39037452683146,1.3644631198432213,1.3036010163662415,1.2838832815236272,1.4603350435746225,1.3869027175205721,1.3834807335192592,1.4207367502806034,1.544590411859368,1.6182945252003689,1.6641635431053667,1.5918279032075118,1.759055977516052,1.8366239914969538,1.6524313678053641,1.7472443399574016,1.9292493602740521,1.8773747600036073,1.7885349005587312,2.0608159579076317,2.2162376042694256,1.9715896431777913,2.053792984456893,2.471904481827779,2.436259549563598,2.244994922529824,1.9736459781734856,2.576698092270224,2.1883236483410204,2.131918982481311,1.5462883784529908,1.4527952120797547,1.254964771810434,1.4108529880108958,1.3224909040724757,1.4863352627189304,1.3423546613900623,1.5367164523539247,1.3636670645660112,1.285833175972961,1.1957276025770505,1.425459097751784,1.1760565485112777,1.1660559390226803,1.0994818705952538,1.091332243105919,1.0993574842174247,1.0765469602621132,1.1402013895018241,1.0204835648708164,1.158812496387823,0.9857543008530488,2.0621584949060816,1.764653335843429,2.3447708834651437],[1.8121135929038668,1.0495021060112824,1.0888833326774134,0.6515636254360796,1.2714375886953224,0.8785616401122958,0.9178241092459962,0.9391324482939107,0.8754578056592814,0.884736700463384,0.8901894373958271,0.9414753437740648,1.0082613708856405,0.9947523279784715,1.2466991645076437,1.141051828835761,1.2338664083047277,1.3277576412936305,1.4900764088014704,1.480372990410497,1.626185244863883,1.6421213026071222,1.9457576624190407,1.9779146430545225,1.9085676124895985,1.6649405213712478,1.558849474985583,1.3820653479691394,1.3603936364233813,1.2042201231577017,1.27772186598013,1.132904095781385,1.1625455732526677,1.2313735229042737,1.2622861484146202,1.3132159242304293,1.2838541028411785,1.363802813479591,1.3915362841508316,1.5831704494025907,1.6575594642508993,1.607090421241447,1.6898675242658008,2.0027571125747183,2.117360334646037,2.018781376051779,2.519069256308659,1.9173061116253103,1.7749788731780203,2.0517662889463044,2.05279511112082,2.792192730530304,2.762855254690434,2.977853677794707,3.024250080562956,2.7767468912792808,2.7675309838614925,2.5534107861870474,2.774082367793686,2.7451588551334685,2.2930939531310837,1.7901518654978752,1.8801001035543545,1.6940194955105268,1.6541100583936454,1.7935175134926307,1.5433804496263246,1.438654805492009,1.5130826129106063,1.4160989272669433,1.4020790424795915,1.5052958670535226,1.3959431075488389,1.5395756509423366,1.3442589059808168,1.6336457880823136,1.5021890178902293,1.4464141860488349,1.465261797963953,1.5572915206491817,1.3624875764126925,1.521283010819856,1.2889362617040783,1.5053614713234804,1.4187167541155583,1.3599606609312744,1.4206796763870873,1.3656148892194908,1.3841497948190995,1.3597250352148382,1.3595655440710024,1.5127780383840852,1.4909680863914425,1.2744914042168227,1.2059080756613185,1.1731879589870213,1.196700570458645,1.141344067866954,1.0372967402927868,1.0846126732428187,1.1043100157924655,1.092886942844608,1.1087788907404506,1.1186897912953038,1.3402365889095609,1.093537710242732,1.0528163055153363,1.0818057559264433,1.0685808176643732,1.125124764155886,1.0323313170505415,1.0390731325384515,1.0422375148889982,1.120973926932535,1.1324710601136887,1.219733448830703,1.3171673029379765,2.1835326299318725,1.5644882648507434,1.346195711423051,1.2722049391091135,1.2553694620636258,1.2759030596871226,1.0187369425568433,0.9022326622854648,1.0664402337085908,0.9849471002029313,1.066560629502006,1.107837707658946,1.0180346499737187,1.025981473313758,1.011404907871885,1.036604886795999,1.0328213102503085,1.060464197877502,1.0506829442176489,1.0227079778366188,1.3327845643061134,1.1710423546049096,1.4406242883464404,2.1667276278574388,1.9229624030864072,1.4676230609321972,1.3978907846908066,1.33364716323281,1.2909825131572827,1.2410991652017453,1.169700900427508,1.0857042127363836,1.0297893020339095,1.0347511718811933,0.938442166498276,0.9431097817802421,1.3299317119555552,1.2280496404885184,1.039594745040623,1.0418370244492445,1.0671512387803364,1.06650953742689,1.1043765885110493,1.148301342144699,1.2334814819184394,1.3675364758385218,1.4881801305329458,1.5349155616592682,1.698850314175672,1.6288934862262312,2.0143853848436275,1.857880905769856,1.5739011310239375,1.3614751935365554,1.3541281780670031,1.2850324378905096,1.2130529952703335,1.195602233025334,1.1564994490911065,1.1562169107826579,1.1697723714094124,1.2091784841810793,1.2270283236868194,1.2934539895575143,1.133347564510326,1.1775777102861709,1.2241546362077405,1.225488249582226,1.3973821985562607,1.5924541113351451,1.838312666911552,2.426065832285398,1.7892834017308878,1.8165412570112185,1.5762055205252032,1.5002997626623635,1.2762968537921326,1.1520784661182748,1.3410909890846943,1.257039883044724,1.2875315406929844,1.3784115993416808,1.2733168846336334,1.4063546830225337,1.251614107444252,1.1400504180855822,1.3018412639164454,1.345122379680632,1.1429484722306542,1.1551381490797077,1.376312366490331,1.2618146410355717,1.0990553115716442,1.2560440071842578,1.3353468694788797,1.1359158404867014,1.2368623283887838,1.4033057772828383,1.4092442415493855,1.6604358348663837,1.875719579211099,1.7111310178103654,1.7844339902778499,2.016297928617007,2.087198130302188,2.3626611458824103,1.7766773824157505,1.7667987508417666,1.7440439445078053,1.693384338916038,1.8687673587266767,1.899911800493455,1.7676869715407384,1.7498487136295466,2.01296182165299,1.9467586920382527,1.7501017995819497,1.916949168243635,2.2342002498324347,2.0282182842130774,1.6956915995827921,1.5718867944827473,1.4563727535065882,1.5076471550959283,1.5233271536301833,1.4235202704478245,1.4725106061143303,1.3521211921587766,1.340547251210286,1.4154498853526738,1.2843230883233383,1.2595752317045135,1.2559747367511327,1.2293698856761845,1.1839050289688346,1.1696324509506197,1.3249084226532803,1.2652839845003487,1.2933758909801556,1.3024163151980812,1.4097609338652233,1.4845125770772205,1.521613313731985,1.4561472357559075,1.5914481085000678,1.6785312750129826,1.5212077355565645,1.5921121818759851,1.7640919600983103,1.7369295957356967,1.6526164449095324,1.8771222981466569,2.0591680922858435,1.8562855684412554,1.9052804277993058,2.278138347047871,2.3191698639505858,2.154198601250376,1.9382088071146175,2.5842912139030743,2.292809497390343,2.094392893989147,1.4862910729599992,1.387516136443421,1.1831251929596034,1.3326859554978483,1.26710084453449,1.4740633880192675,1.3158239417929245,1.5151331486811896,1.227228367819314,1.1623310075718196,1.0941188720224078,1.2968218661156097,1.0760969932496693,1.0560322419181845,1.0059407689673137,1.0147536054697068,0.9981087995439497,1.0025403593239461,1.0804864377358978,0.9805365443036375,1.0838893435823054,0.9422875720376239,2.0682734555457487,1.7676270045703437,2.382316621463385],[1.6922586365463927,0.8813914284315603,1.0486066432993737,0.5791841509717848,1.112053213775966,0.8135381061416543,0.8105249822707605,0.8272949772690774,0.7794344530625893,0.7550756780799728,0.746540412598622,0.8030176792797701,0.8438748007013737,0.8452228091156349,1.0738734773244507,0.9602900264284435,1.0367930211325178,1.1149751388731055,1.2827754697190055,1.2666620503860202,1.3977980054526533,1.4297559652144765,1.7222086600866344,1.7527389393128625,1.6890326304424248,1.456697712734585,1.3410298443986943,1.1769094088148215,1.1481392402957915,1.005695265277939,1.072863314670768,0.949389050673735,0.9801559313241756,1.0197844176342468,1.046421501865925,1.0959570875708984,1.077816103432726,1.156039281977186,1.1910642440125234,1.367970078856386,1.4640381682605796,1.3922302607197705,1.463341128460844,1.7545881149634832,1.9203562501055575,1.8426695971064528,2.342611033677165,1.6907942685628403,1.6094827419015072,1.882432252201285,1.8457079388683584,2.60096805196759,2.5538830259611287,2.6831894380375845,2.7261876508041105,2.5106361656417517,2.5346831199734785,2.250737108742414,2.497211067245498,2.493892735028284,2.047551745887219,1.558165298494745,1.6453575965114018,1.435739887306546,1.4399065964004956,1.5415338096486397,1.324985500511109,1.2205194045136878,1.314834062086622,1.2303059001865877,1.2568444125212865,1.3788585711294108,1.2262119296122285,1.3668754338167228,1.1384359948995324,1.4310328636599456,1.2575813410531314,1.2048116926475076,1.219480700995087,1.2938802068728321,1.1472569887148012,1.312073350549377,1.1232040127549094,1.3026304963106998,1.2314996754461056,1.1603680446613647,1.2117187123600377,1.1686113867184722,1.1485394977550325,1.1412528117832348,1.1215673436605178,1.2856382637681742,1.2840672867515714,1.0773428965009533,1.0238352544505531,1.0122897238917674,1.0446076073341561,0.9640984763370624,0.8795038762476449,0.9672618771321226,0.937293646183961,0.9682357067780158,0.9750302886077541,1.0155506322573538,1.2151523159841962,1.007300787859181,1.0798598742204975,1.137296558350127,1.1220430849071747,1.1114466011182482,1.006767250870145,0.9314080808033061,0.9092752150850463,0.9506872672987604,0.9578447239739923,1.0521417978707885,1.1349898736737323,1.9822129823037182,1.4017564399365778,1.1459029422291565,1.1077272735250743,1.0818375361505486,1.1284486512509835,0.8729061368476998,0.7641149439266868,0.9275151529242726,0.9094601303134059,0.9638375084336213,1.0482104954091092,0.9999622625286837,1.066576337359115,1.0530852211324866,1.0401093408574669,1.0296256554134284,1.0250670234336805,1.00608166355787,1.008850948302117,1.3241337718576847,1.0394558748046223,1.2664085622413181,1.8129349385341547,1.971329891529688,1.3397436051568676,1.184456580550271,1.1508229851442846,1.1040769712535683,1.0649625233490623,1.0009347976241698,0.9443960161056817,0.8822488756176046,0.93688799825489,0.8407898784877507,0.8847622826530112,1.3324792442089188,1.1741305957801935,0.9254229190255294,0.9029660314965153,0.947084551197977,0.9186199564989865,0.979053050081658,1.009613692424975,1.059796935299989,1.1865572117270609,1.2850487374096642,1.3393132329143727,1.4984877915655332,1.4767941026467666,1.8666942162578917,1.7736477589831696,1.4537850927542433,1.253551055700107,1.1966574824397715,1.142893560307655,1.0806891962564373,1.0452718772422405,1.0200466065245657,1.0041498089917216,1.0320241582764247,1.0591173963710314,1.097674657758194,1.1512957381223017,1.0382097756271818,1.1100577742349647,1.1646168336539318,1.1163755425094302,1.237496102570475,1.4040984691515606,1.6445334240191885,2.2902854504097667,1.7045843644291936,1.6909209832025665,1.4789316091937341,1.4081905763970282,1.2302358703179912,1.1395599780175953,1.350424715444971,1.297239354457243,1.3204269037592644,1.4007805718341169,1.3364194462004761,1.4519854378796693,1.313923574005962,1.210697203252018,1.3697717716977524,1.4183734047976329,1.2332904083949041,1.2397898031288697,1.4649430941732595,1.3542748536548432,1.1896205672589286,1.3483730481687057,1.4336914453115217,1.2379787434813343,1.3646997241094148,1.5102307873435004,1.511257268854855,1.7608636620596203,1.9109165165446667,1.764620052093884,1.8452028861557759,2.075851607202715,2.1330296222056266,2.3312076617874067,1.8111884262176199,1.789430517980527,1.7630050536859503,1.7165589723663675,1.855807844096219,1.9069026585958642,1.7613814704638118,1.7663059347741956,2.006413406187986,1.945616934128463,1.7518870165910871,1.8670457315672184,2.213757169449732,1.9710483982996243,1.6750794338023358,1.5824518493463646,1.4629652397913877,1.5287482692342358,1.559197708431321,1.4709478653397632,1.5062723512113205,1.3939882136361994,1.3932014848609167,1.481576176619004,1.3458150249379666,1.320829708601738,1.3378678364780525,1.321754721169029,1.2756233243941582,1.2652172737831373,1.42053088035957,1.375536678912149,1.395699030042536,1.4083759965996998,1.5090562269308245,1.5682689786125967,1.6007853825926097,1.5371151271648174,1.647571814688468,1.7420513573303567,1.5919571040039995,1.6411777954343645,1.7912125046241667,1.7696181371225024,1.686326523654496,1.8680919976921382,2.0604581777297977,1.8525588266567206,1.8908404708564397,2.227461303445032,2.282743135376177,2.1051138706694568,1.9332619120524994,2.441140929946255,2.171265704491739,2.097901178530018,1.5744229416493478,1.4615176436813446,1.2713472446717704,1.4020701210503193,1.3407427847805862,1.5554127709751038,1.3757441465119238,1.5274925589622164,1.2293700689059297,1.2284191396096351,1.1075663013367247,1.2190947702701591,1.1393852930078496,1.1118147169743138,1.0262382091776745,1.043860981083039,1.0137828474487123,1.0223324534723544,0.9504181515293849,0.9195898932560529,1.0602006611857862,0.8274940326694786,1.6786213525086597,1.337979897959335,2.050395472918968],[1.9106797326248377,1.1297644593285574,1.1680816013712771,0.7675245900683244,1.2328326554289253,0.9171063051776391,0.9095841719476708,0.9379849803204936,0.8682369515540654,0.8305690449062406,0.8236460088870649,0.8971567268655954,0.9199037022273235,0.9139203569128312,1.143026853439118,1.041161687712081,1.1362297689096128,1.2449867272634363,1.4346673418081672,1.4271142261812368,1.5888731342281082,1.6120480244789694,1.93137538084768,1.988209482044553,1.8906486331440067,1.641796761548784,1.5023516178096008,1.307501619489062,1.2714237345153139,1.106713555212474,1.1807611270367209,1.0347066421532327,1.0590667292332518,1.129040768652156,1.1686407743269311,1.2318272538801274,1.1849849334129035,1.2889322519437163,1.332856893283903,1.550197671730318,1.6368835844224672,1.573463947045374,1.675403282037756,2.009633474007952,2.1620404586512167,2.103116825148498,2.6460602217542384,1.9944738015664987,1.8525124955457968,2.1758192054646903,2.1386104932590384,2.8191187464211525,2.7826542795574385,2.9841857900884463,3.000870571259204,2.7737522343663175,2.77277261175069,2.5243941494752407,2.731759430619709,2.731315998868617,2.267579260462778,1.7646990774362128,1.8168646133153117,1.6526774057297056,1.6468841638145832,1.7399758776352545,1.504512217627461,1.3790745673255815,1.482127090266672,1.352295071221213,1.373591685913059,1.4932902760168347,1.353223201420979,1.5337162342008963,1.2715083082601282,1.5772318482416054,1.435018196108097,1.3662538133601856,1.3841738318120405,1.4962209108252507,1.2971489959353002,1.4732427702695894,1.2304557259896967,1.488243355961562,1.3879812752225733,1.2955546285231407,1.3629994659811837,1.3135134142571103,1.3047754058052266,1.2756438494698839,1.2623502562880218,1.4373104588018588,1.3986240619683759,1.1653514986541031,1.1005017462253763,1.0697662126706686,1.1048957219661792,1.050182919335968,0.9551334260398722,1.0376631063760744,1.0283837484478613,1.06234374718229,1.0759287891629492,1.114708927219893,1.3381925577052316,1.130526458283374,1.1698127581455124,1.1965520161323948,1.1905916413708146,1.2088218153365333,1.0999850832403115,1.0360135000462267,1.0000431740082447,1.044346922944121,1.045085423029966,1.1359539610661058,1.2342924504252404,2.075925163918109,1.5460998309589058,1.2734979673873956,1.2232489692302333,1.179900968456812,1.218939160745567,0.9589314548425487,0.8422798578597238,0.9942443027453642,0.9976824968210124,1.0636056111886163,1.1604574757206847,1.0768794799333563,1.131349146437444,1.1564238634587873,1.1501322727452354,1.1225579574895397,1.1200313980861707,1.0674784410237144,1.0612819583514073,1.3140448744964837,1.0907549877458038,1.3568321257514924,2.0524847766421583,1.9486823210218633,1.4235948083910448,1.3176461263506396,1.2721813387808512,1.2142216575402636,1.1633532819941659,1.0893045781006185,1.0275516003270222,0.9738428576965276,1.0282293907662916,0.9483277065989395,1.0079817780720488,1.4021364765220585,1.2438602939637753,1.018091056158914,0.9878592762676679,1.0380577333161967,1.0024804451935496,1.0833474381710098,1.1128042956172643,1.169442733284261,1.306197395319282,1.4370763374917739,1.509832979513556,1.6787640444644774,1.6397601723304311,2.049333973497379,1.8831482396058403,1.5605577429220387,1.3729450302116732,1.3216384369667573,1.2731860243711632,1.1990073959189675,1.164653503760284,1.127322168987749,1.1022968552422245,1.1437811873121668,1.1902714752175358,1.2380407979182806,1.2958875554641125,1.1528851073016044,1.232919744583382,1.3016872178552537,1.263316081187333,1.3974484050418274,1.580983034466079,1.8514901753811632,2.420223350498554,1.842975350239423,1.8632926856959147,1.6016807016813264,1.5696224368926996,1.3624066006502895,1.2705508020869583,1.475211272755946,1.392073587060442,1.4353965849888142,1.5161631621103124,1.4278933802839762,1.6135531749340575,1.4584726697399775,1.3196209191019752,1.5104550753758523,1.59700173033921,1.383610716945809,1.368083634220903,1.6416296993090342,1.564990938478564,1.372859603667654,1.557840524866863,1.6808475921044481,1.461768935233448,1.5604123926206594,1.7648935078719827,1.745752672255382,2.051317020855442,2.1695659591762126,2.0090054882020985,2.1347073276543385,2.3755661232810743,2.458225854091096,2.686437238173543,2.160276114747018,2.0993138644115943,2.0608201406570767,1.9670083345973843,2.1541852073903915,2.2105412500156976,2.013817419255248,1.9967113417541162,2.274943071424368,2.1783385984283505,1.9623631764248126,2.10795917644467,2.4372292908698574,2.1784498946784594,1.8251020515819656,1.740617710793915,1.6164540710800248,1.7217648913183619,1.766666370994438,1.65930534738703,1.7368679252432317,1.567536440275705,1.565789327172364,1.6793144491030705,1.5500610525738587,1.4859531327734459,1.5299386916914415,1.5425714772099224,1.480254547487161,1.472078506876731,1.6646299761418322,1.621043173492426,1.5785954637460229,1.6693407072708435,1.8014748816366115,1.8448111818143447,1.8704102998147185,1.760138724973339,1.915441756010222,2.03369048775201,1.8221786591351234,1.8765412776344224,2.078401972296252,2.038627450083761,1.900866456428296,2.1374371184582666,2.3150023720369024,2.0698700145377957,2.1033003198962166,2.5480642949857737,2.5301316572421677,2.318603326876065,2.0704878266686757,2.6270715306677443,2.2151132773442974,2.2994796283538927,1.7457753741932651,1.6309305684431166,1.432704368246281,1.5779318085786866,1.458842177593578,1.5845066514232968,1.3833380815555318,1.5580604379097482,1.3661938261333773,1.2959986425389503,1.1864585155988356,1.3686724171327647,1.2455245596502333,1.2589634441684046,1.1443982907377843,1.1411626932711307,1.180752840671421,1.1723069816637388,1.1081338932339224,1.072890675362732,1.2688734803255073,1.0106588161291274,1.8222709141261026,1.4487058691784014,2.1535153153947717],[2.027245357573244,1.219104740628713,1.2415998430974604,0.8682462561056365,1.401174494885348,1.087628146051642,1.07497277556803,1.1090206153600541,1.0124163774935055,0.9811245147431998,0.9643546999646248,1.0661390802732906,1.0807332823658347,1.0331457244513695,1.2542704041617105,1.1863419387917076,1.260198508512777,1.3485567351612822,1.5100993579699051,1.5113981796743214,1.6512501919782805,1.7138700672730058,1.9612510411149964,2.0328225538622053,1.923721154836052,1.68724802245418,1.577148055847849,1.4059682091852024,1.397222685992328,1.271739114561824,1.3137686770514874,1.2113569719294912,1.2243815188656642,1.2809371547037602,1.3184294747606962,1.3652921862011371,1.3438651392103362,1.4195488503058424,1.464670798952789,1.6538887998292136,1.7123382940714686,1.6609975471079501,1.738696023262498,2.057526267500747,2.1386874293330593,2.08090771648325,2.5629579350363465,2.0192826664678174,1.9537917623890073,2.214478068265154,2.2484832128199894,2.9252710324678626,2.893414642649906,3.13788292151437,3.1224721240729436,2.8964916422429776,2.8513808237009077,2.59982658098875,2.8099780343097653,2.833333283149402,2.326626719254139,1.8295154996659593,1.8981158191829217,1.76736806239153,1.6925240423641632,1.803664420128019,1.5605914164001253,1.4575598507368417,1.5093555474975522,1.4212573819599519,1.403166618978009,1.5101825787682428,1.3969540168031196,1.5366692626250957,1.3546596038705814,1.6424816847374504,1.5284352008305424,1.4766180425456383,1.505800263768756,1.600233344045314,1.4546061999896494,1.614504785155462,1.4029634532076607,1.6372144996543379,1.5302683333775682,1.4528394833226512,1.4912081849522518,1.4757093749801147,1.4234230484195383,1.4242591270202947,1.387036448097686,1.5281697773184975,1.497690861571579,1.3000674113767536,1.2429902892847242,1.2168769447148338,1.2381361442901953,1.21073999014437,1.1300424740668822,1.218782560068778,1.2166499637350505,1.2671853735081113,1.2906226323782797,1.327397194178278,1.5435508058286005,1.3494741347498347,1.3740212489529577,1.4086419759167488,1.4026817689492845,1.4076979798071072,1.3053802004685078,1.2535123771609695,1.1907772852050569,1.2286424144855093,1.1958037134267612,1.2481052971796636,1.313469078142112,2.1059143264822042,1.515615694067632,1.3399629608103572,1.259606320473166,1.2530151234717783,1.2660381553110307,1.0480397360548865,0.9877436665540549,1.162655114503495,1.1834986816283781,1.2685040299911248,1.3624468486281032,1.2949869078987013,1.3594031462574614,1.3790846778766135,1.3803440042961677,1.3552523000436847,1.3275337177295956,1.2738399338526731,1.2728397463010017,1.5620773136579171,1.374616330851121,1.513066468518875,2.1576258169472657,1.9700721816111164,1.5262901356945016,1.4414307238165438,1.4198526296464373,1.355847225304973,1.3115017870616656,1.2523770870783526,1.233121032542133,1.156252650197146,1.2309760635547877,1.1329945031140995,1.2343972595493307,1.5522924928942496,1.3963755560507303,1.216242177853933,1.1808561440755747,1.2406563908875572,1.2091447452906285,1.289096818550523,1.3024276562749921,1.3408547280037575,1.435128713798812,1.5585221043125117,1.6348553714546123,1.7637508008102452,1.7790411510555655,2.1808668393598523,1.9942200030726283,1.679880789694386,1.5153503425170591,1.465250408184459,1.4392223780590323,1.3773481810292334,1.3499609445953566,1.32493779042772,1.2991228773275305,1.3372010054768442,1.3707739924944657,1.4350656399611372,1.462397897740085,1.3623116607466605,1.4373542174938863,1.506947369601818,1.4413838645064903,1.5473016321194781,1.6709706046387014,1.9158541148436865,2.4764854447257356,1.9397072984119597,1.9576015690883517,1.7613082551510948,1.7414486421440167,1.5558376320955019,1.4540399306669087,1.6497970722879969,1.6369045028136502,1.632316621548019,1.7075546345738384,1.6315387157962067,1.80380724869911,1.6579962716791852,1.5089372650393957,1.6781155190250805,1.757747936523027,1.5461112773078924,1.5034474187162308,1.764786658316934,1.700456681313973,1.4993172569602564,1.6501947214566868,1.7663951776806506,1.5551694212512137,1.6056679058198777,1.7990573779749646,1.7861054201888613,2.0848372971740115,2.2291541589944077,2.0973534087522885,2.2176517823374398,2.471507400367523,2.5404259455025575,2.808191274657024,2.268379108466485,2.210991760540711,2.195241188897999,2.1182908246291703,2.315119632691609,2.3463900912291678,2.163275778473575,2.169025415293887,2.4201592454084806,2.3209379619339354,2.1305807858433354,2.2511791122598286,2.5462721279871166,2.344419796011797,1.9700455136352157,1.9193536701334413,1.8287880287610845,1.9061518350729332,1.9485081335939993,1.8433791276516693,1.9105074969656384,1.7708547668006183,1.7613102447993993,1.8544007056437848,1.74704750960816,1.6757038839752159,1.7015686887383201,1.7058700562465519,1.643842778840279,1.6188733983205226,1.788485742639335,1.7445290964201556,1.686312012333878,1.7722657730715505,1.8972888749335486,1.9562981266312107,2.0031159980956383,1.906386246871077,2.059139183984072,2.1466176295665136,1.951875308453937,2.0216711814773953,2.202853562165652,2.15485003113641,2.0436651049873484,2.269379919495182,2.4251146704006215,2.200302072852737,2.2303854241711076,2.6589184623209188,2.599960465552243,2.43980751252387,2.1717819017595916,2.720298318843192,2.279224174511767,2.334609129603951,1.7722421328815718,1.7149263841697069,1.5166051688694038,1.643418940099566,1.5625144894407315,1.6578223156762673,1.5321656500731144,1.6796604367792702,1.5391692791421718,1.4860468181954147,1.3462208371202788,1.5151156446391696,1.4412091862075138,1.4476390479336065,1.3401111505909948,1.3204611985578558,1.3242816484219733,1.322551253032514,1.2397649860881474,1.1998100282723598,1.3649073597259984,1.1190473084765606,2.020681537752808,1.6395048192868114,2.4318991060727577],[1.9411646445531408,1.1275521155258867,1.1568218086652917,0.7782168732604611,1.3660515485925588,1.0235184094165464,1.0451741651668962,1.0768820212683357,0.9872389358710363,0.979029268429948,0.9700077010089747,1.0590486627871247,1.087381874338178,1.048387276549513,1.2620544201286146,1.1944718957003853,1.2699040716278673,1.349989600928404,1.505537147156883,1.5172593652507889,1.6545765423197347,1.6926549850784918,1.9747362271496882,2.035607797281829,1.9582839399224499,1.6932554518778773,1.5921569296701508,1.4167898688672833,1.4027896569687117,1.2747323578678247,1.3126221691165856,1.2131895426423418,1.2285829445897376,1.2830661972720383,1.328794858603684,1.373283856606531,1.348163621402188,1.4211675366042347,1.4705884974594068,1.6684544920685964,1.7330454483711069,1.6665625772770385,1.7571527590535225,2.031339907972863,2.137323229165182,2.003492479351258,2.478964757467123,1.9002241286410837,1.75501427194342,2.0233028192972418,2.036532382812359,2.722545046480931,2.7530755280782335,3.1091056244530306,3.1237973174440126,2.8339886609411566,2.7789971037568826,2.6204205275897294,2.8704824431589366,2.7806770301320802,2.3096007840500428,1.8408733783174476,1.9610012293178893,1.75381766203368,1.6957877507755919,1.8351511407932466,1.5603148819406476,1.4555348538948967,1.4994913188088272,1.397930111965716,1.3861568678182064,1.4704164921343903,1.3797906890759648,1.5166308013591019,1.3557165723417022,1.6090523264773982,1.5309435656990698,1.4805885487313943,1.514023438634302,1.614117254348166,1.4517499635948445,1.6105324620446064,1.389696895667143,1.624421182665026,1.5306675589767391,1.4519830425979303,1.4970246803805765,1.4691030857754919,1.4386713973990608,1.4254335421776139,1.3924776895781088,1.5189245208230422,1.4848380338734641,1.2973982616803055,1.2443589251583607,1.2126367971418661,1.2296408343596252,1.2049406452669718,1.1265900300237381,1.2110641541356528,1.2237652642304926,1.2435624644380785,1.2738094872810104,1.2994507896108414,1.5044287196022634,1.3084149553781914,1.3067187525277117,1.3213844722629404,1.3155914005341185,1.3511394645499337,1.2542264344601788,1.2244387139621065,1.1771712348506438,1.2377459078798783,1.216240484016078,1.2734978679782427,1.3450542397510998,2.2495309292477774,1.5450286426134585,1.3594919918836184,1.2889880971807388,1.294258207250171,1.3118591029751587,1.074820978733339,0.9985939822515052,1.1707917412663182,1.1485922317029322,1.251045042753679,1.3330172078733464,1.2384291351653582,1.2649809164421306,1.274991251573621,1.2836809103568112,1.2697545030431938,1.2848903566997814,1.2473171127235645,1.2266137793370868,1.4565832137203898,1.288446683616306,1.502336342851277,2.189918250757731,1.8915354926519639,1.486722916597078,1.4608767177854414,1.4263702920003685,1.3694959168108378,1.3288542644995884,1.263336349680896,1.2229743520720526,1.1512293953627317,1.1979621037119759,1.0946998304430107,1.1678143229803797,1.4674882298535392,1.3526905706971024,1.192850939862565,1.17050759849868,1.2161222367540954,1.1991446776357637,1.2687864152142578,1.298340671382657,1.3389529259398116,1.474956966407702,1.5975855578748483,1.6893348053083046,1.8636364546444142,1.825102643122349,2.2458391682511274,2.081181020122278,1.7807980946810804,1.574407777561594,1.5299834859646055,1.4591535334263244,1.3785286585585423,1.3468132653828704,1.3095100392798869,1.2924278007786216,1.3226422397858024,1.3547667107380628,1.41041370157338,1.451603218984416,1.3245076869286438,1.3839642532301164,1.4403990180301358,1.4047486020865245,1.5095919936933329,1.6772966361409718,1.871541585771568,2.4827393976644094,1.8044148320127675,1.8681198800704808,1.668136449555283,1.6647738964511667,1.4714371703983027,1.33812086721451,1.4881720572393966,1.4774745080666707,1.5142064790025649,1.6020581343053077,1.5218926329183082,1.6826005182401893,1.5405357948040193,1.4077091508534552,1.5697467817626614,1.6394319963562156,1.4351301025871814,1.4044679270901232,1.6592443538844637,1.583539384753992,1.3896566592220725,1.5450362244794407,1.6575210507041298,1.4429262435457464,1.5141142236874776,1.6839181472085765,1.6708999895863403,1.9753814266892407,2.15633495156876,2.0019816534610357,2.1071585869084424,2.33096589134913,2.4105636374917703,2.650038728554865,2.094508455095516,2.05938083098938,2.037843255714308,1.9720533017470399,2.1379924644480797,2.1691210547836652,2.0228325504564375,2.011967487431846,2.245023512381546,2.167977797195251,1.981510607937036,2.0852781263309796,2.3905338755467533,2.202432123210265,1.8461224809053862,1.801611438571508,1.6976801872412057,1.7723270684958168,1.8125808743211462,1.7178092500055524,1.7759201286485398,1.6394011799810306,1.635756853127821,1.734889438692147,1.6199679004509822,1.5626097273339385,1.5783989255927684,1.577607489734835,1.5147524320768717,1.4930370840044513,1.6575869751199277,1.61337107804871,1.5689359271631214,1.6418862371061782,1.7639155533409967,1.829197817444524,1.8699663003449838,1.7819542728161861,1.9201261755365355,2.007712109486506,1.8329902585806532,1.8943545394692671,2.0670951795386863,2.0339101458080093,1.930858653238273,2.1350499231405795,2.3132095447872136,2.1099771599956827,2.119958863976847,2.5103189722369197,2.5296211082770554,2.3752812183354277,2.1246470266115387,2.748941310647823,2.3559852610912078,2.309887634529581,1.6844004518404878,1.6236770382576453,1.4130776765636273,1.5396284394550879,1.4687910156527324,1.5864631965390588,1.4416599544629378,1.610542044577386,1.4633722510822211,1.3942944075254375,1.2943142678108681,1.4505085883915567,1.3498661308549287,1.3418639985346137,1.2634647947111965,1.2450734878217602,1.2192306939991757,1.231582866026572,1.1950028686333067,1.1259452968156085,1.2596339935657548,1.0487214730945627,2.050741450965985,1.6765018445099555,2.487009356946765],[1.829128422133883,1.1130486387549707,1.1996985318433617,0.7091172824901513,1.3048543221409823,0.9745983953484938,0.9804264862667301,1.0104067628751598,0.9449668122011945,0.9413974697539456,0.9428132056466132,1.007059130931869,1.0504002142500024,1.0095483818585467,1.2214275540837447,1.1693641214880888,1.2414092783797925,1.3137071894126016,1.4552248714154776,1.479846785844631,1.6075145316599593,1.6411924221731726,1.9144265995832375,1.9812913717425438,1.9192501435674694,1.6458811965316797,1.558127239028828,1.384985173486716,1.3723216809576353,1.2455573404338263,1.283279919053816,1.1776494829717612,1.1993236016920843,1.2501078414018547,1.296841707239952,1.3427850716139307,1.3187290774049216,1.3950472415035562,1.4400322429872914,1.6393543638677357,1.715258089410006,1.633661787563759,1.7242812587570282,1.9617827390215736,2.0725481655331417,1.9202607817114266,2.366479084936982,1.7869529758572245,1.641726799285938,1.9117481539648715,1.9167258368187,2.616702887926848,2.6749063866680376,3.061141104258075,3.095081308516188,2.7840645480300994,2.717240822659507,2.5811944051310403,2.854921373010906,2.7152786261476893,2.2655308255289834,1.8144355455491952,1.9576362103829388,1.7326897161431913,1.6572487738705584,1.8141285381304106,1.5228872235580482,1.4120125360174725,1.4420334601939822,1.3458894369493148,1.3328550845885028,1.4001247303375066,1.3262197181928939,1.4561012449966406,1.3145446622839836,1.574753788467217,1.497220440521261,1.4542014332375321,1.4843793342530032,1.5825632259248301,1.4122935124694587,1.5695255622687367,1.343038204078549,1.5785824599472023,1.4878950189713234,1.4164559475809062,1.4660509298728062,1.4455081296109926,1.413977922330511,1.4015401179077591,1.3602472110612476,1.4745718406795794,1.4560533140572343,1.272114156095267,1.21493459121996,1.171229712212018,1.175634772929475,1.1623012986605228,1.0846099059245446,1.1679361617244113,1.1747128132966496,1.1775287421345684,1.2150858957170603,1.2136919690682364,1.4318491584359505,1.2036741270944333,1.1826436142188113,1.2002650890028819,1.194336642725106,1.2281121007792455,1.1452842202288156,1.1373946113081854,1.1140405513597016,1.1970442897961762,1.1725260668948148,1.2261216596747857,1.315627294798495,2.270970087167076,1.498712547595636,1.325816323122192,1.2368854632306645,1.2388974497612506,1.24508004927093,1.0186051646831702,0.9499938931951787,1.1222032129169806,1.064112385608658,1.161227768887429,1.2209982105095967,1.1352065963302416,1.1417980883402985,1.1274258586215868,1.1622207272251046,1.1552586728285215,1.200015380497027,1.1859896757632622,1.1493469006118375,1.420884469049975,1.2715582821424718,1.4527288935433196,2.1480679370350004,1.8102956171456264,1.437925234347664,1.4310856953751736,1.3999751560400182,1.340877348855584,1.300647042542249,1.2302987326321049,1.1659617820655388,1.0937797525550899,1.1229335555524211,1.0188591881881932,1.0660464353580412,1.3867755240544002,1.2730873359757773,1.1309091032276508,1.1194866840711022,1.1489925054043413,1.158433916012766,1.2024787192115258,1.243280701902553,1.3075466845010608,1.4515842577222402,1.5700039628290556,1.6780492049118239,1.8695294129178892,1.8212449043959653,2.2601620853387003,2.1090078389389135,1.8137348441042345,1.565119917397219,1.5188491553039773,1.4237775360431704,1.328967652824522,1.296209735819496,1.2509627279701974,1.2482406646561965,1.2672098799030769,1.3035353364079887,1.3385138746152905,1.3943894067066747,1.2459356684343614,1.2895276875738162,1.3536310943089016,1.3455711691368801,1.468894495834325,1.645428997232861,1.8213133258074576,2.451131512976448,1.7380320551693322,1.8287548943309575,1.6125575096524911,1.6000694494959584,1.3929314400314137,1.2370554065464656,1.3707611060278528,1.346013738853521,1.3740879621700666,1.476097241591806,1.383362893795067,1.5344662619702625,1.389454084893645,1.2674236327012618,1.440570961869579,1.4942669521408265,1.2981311921951706,1.3044688960319624,1.5423511221770483,1.44383361468828,1.2682652504205738,1.4387109555917714,1.534881800635532,1.3152112098146866,1.40249442711472,1.5452418550055684,1.5390058594740048,1.8507077507771386,2.067737053922662,1.8882094796409394,1.9527281058937052,2.129513030610768,2.2316014997850493,2.461873994903267,1.8838438166792406,1.8699210245988918,1.8421584718573298,1.7962946193938092,1.9287983259564299,1.9640689707512926,1.8642043167463804,1.8189075724738528,2.037064311334981,1.9847382892213765,1.8101041559003688,1.9120471267587233,2.2015426795023845,2.075929381157781,1.7281328115843395,1.6642833768247407,1.5484843614944432,1.5998057535597445,1.643111000284895,1.5487754903311226,1.6038837160084443,1.4855379693030466,1.481918608115997,1.572657284359925,1.4516880585045207,1.4120300835760986,1.4239379122040938,1.4143790785707546,1.3581515451683943,1.3468292567572386,1.4961232817180405,1.4497933560349767,1.4356240356742647,1.488277886645773,1.594056452676186,1.6676637209484129,1.6968627118388335,1.6213053873408134,1.7351622015508743,1.824644663807967,1.6857174821185859,1.7323985456639068,1.8931296711207093,1.8816918244196394,1.7931645611456688,1.9759009475210985,2.1754704004894876,2.0125725288246095,1.984718199137834,2.314772110069657,2.410580789236373,2.2897510308144025,2.1176178174397737,2.7819258957309696,2.574484709003354,2.293768522005719,1.6286915422912416,1.5593447707920602,1.2979960306512708,1.4024017757627496,1.3773206353079746,1.57684620469128,1.421364002787935,1.6398511590789506,1.3132872929753228,1.2712125119159976,1.1592710092286818,1.3141256426817514,1.2144957273239838,1.1942082036429473,1.1537868939703646,1.1416145149677928,1.099453959110602,1.1307373271878645,1.129685813714787,1.1028740393355243,1.175446504537954,1.0496424667055166,2.1418433909277796,1.8452945468865907,2.6383131650957474],[2.2185487311376493,1.558463361180252,1.6001776124058293,1.1019717119525674,1.5147951051436042,1.29279349147725,1.209075340849472,1.2615312805999188,1.157546818729385,1.0857273941644208,1.0868237854669451,1.1940571230113104,1.1661576256107227,1.1063059101354304,1.3003876541305601,1.2695363043575423,1.328842627951787,1.4208023712078621,1.5833616784397735,1.6262598629340796,1.793604269579681,1.8672105936341135,2.135996000394092,2.2419739534031744,2.1291643788617254,1.822952126925841,1.7145214345657989,1.505322004618553,1.489437289532848,1.354091455782043,1.384831806083051,1.3030577659233955,1.3346022356725005,1.3754869011926545,1.4297602177712396,1.4618329098412661,1.456069272619998,1.5582961749094637,1.609622279090362,1.8634633490788521,1.952145396233732,1.843367584936951,1.965196807405736,2.227622650917561,2.314425015516586,2.181016628332447,2.6345300558555196,2.078319510837362,1.9237277769938732,2.1799846726296885,2.249557132399987,2.8561211604038346,2.964244906791357,3.4461292235342587,3.425938233490376,3.0839504311241046,2.9911405550064463,2.863787307324764,3.119555652269529,3.0298385096851037,2.499266374798384,2.040832228231184,2.153818152923186,1.956492176213839,1.8815656891108512,2.0150870766204196,1.6954932251279111,1.5408549033732393,1.561447799046197,1.4342862817488358,1.4122193382822616,1.4888802815877922,1.4058163574844271,1.552199791198491,1.4270399708844108,1.684979222495387,1.6527643932758262,1.6001090026886717,1.6540824979211677,1.779103582232608,1.6014890764078284,1.7946610586829557,1.5434614226727457,1.8129686972587693,1.6898093515095345,1.5975176035977448,1.6470235903522061,1.60114063587756,1.5574582253397902,1.5372584450491598,1.472636786883467,1.565640862554669,1.538262857820159,1.3721861341847346,1.3161849553398997,1.2728551463158375,1.2598788327830994,1.29309346030154,1.2485789697896803,1.4065190396021676,1.3372335925868577,1.411704338223651,1.3908410196143177,1.4356248203415531,1.6726028091744434,1.4185567251995677,1.4832729475885282,1.4680899467500341,1.4990677904145095,1.5086767384095505,1.4328355598401425,1.3200508877475925,1.2792173873039434,1.31002356433612,1.2597178090217678,1.2920688066737607,1.4034488181526126,2.3740071674450425,1.6214440279969822,1.4208106573994268,1.3098956892470761,1.3025089983931775,1.2922802615667475,1.080649328172649,1.0631932129123276,1.2338986159021976,1.2895165196401153,1.319793751607378,1.4419105963540861,1.355880316398427,1.378745469618669,1.3984501279214854,1.3928595756021775,1.3816805709795728,1.3915587613047073,1.3278668147538575,1.2751470443199928,1.5246908727571682,1.3920199556458759,1.5423509564675408,2.3502044334808265,1.8732067206634107,1.5605417229651295,1.5656581423583913,1.5671674018232458,1.4629220102794698,1.4075442263212001,1.338350567755514,1.3018284725859626,1.2562463513094735,1.361649255717671,1.2745783272431148,1.389897490826022,1.6438813077454668,1.5027764685848042,1.3847429717656567,1.317930539115656,1.3675278577129535,1.3188261400959853,1.378954449074533,1.3802642759804107,1.4508205988246066,1.5810403746955757,1.737505489329275,1.9059629978988253,2.0811990249630816,2.085644881278027,2.629472163076851,2.3675287305199606,1.9878506789447967,1.73528305497087,1.6708761920234154,1.6024664626648588,1.4978017498218361,1.4613016627694904,1.4289240078364391,1.3946921850205887,1.4455097172209888,1.483713950029483,1.5533466925089987,1.597590225182545,1.445102808842478,1.5183447211541314,1.6187742548502992,1.5824294810418433,1.7021378431341228,1.8642003792734514,2.103629254232,2.7442364347272,1.9553163554486181,2.0556261713947652,1.8729345959835,1.8638087341850336,1.6525101845625672,1.4407818126457803,1.543899598763544,1.5382372024573192,1.6282983530053592,1.7928677351325502,1.7117281747906543,1.9884847977072555,1.8446432580561738,1.686693238742685,1.940897729963321,2.0722838973811744,1.8490711087420677,1.867351113974098,2.1749757224880626,2.1125672824978166,1.8889166473464771,2.0952003421033636,2.255914708913051,1.9873699411994168,2.04260697166534,2.2436418881758486,2.2337542266200123,2.6261082687761435,2.8429942333569804,2.63003419307515,2.746550411394353,2.924291861654039,3.015099045636185,3.2079398647029254,2.6447555400371794,2.5547346749994926,2.4900032265440886,2.3621749962933745,2.50357363344021,2.577196214161075,2.4389140070613897,2.3249988685597707,2.552397271618858,2.5121685162325873,2.2883677814061913,2.3414467713701317,2.654968070282659,2.5565299714499745,2.0229789720282043,2.078017292545511,1.8934898162899267,2.0194179405634056,2.1463118432438626,2.020810859661967,2.1257154950073756,1.9740527546887943,1.9701771190565323,2.17439137524814,2.0073352430659774,1.8918008531487307,2.006651461387066,2.043684453689625,1.9370313277625826,1.9606834885006008,2.18661324041955,2.138052089345662,2.0559299867039535,2.209145520102119,2.359839307724584,2.4250562343466453,2.4410222384343805,2.2906244539398197,2.4257914001015006,2.5844472162766396,2.385002008365351,2.390711718405543,2.626492320197317,2.619054827244483,2.4344493843854615,2.648803984736004,2.915188575911397,2.712145360517127,2.5834554935540353,2.9840489585275796,3.1085787727852208,2.9702827905428317,2.6833420876163228,3.3186069592560874,2.9209744154128248,2.926030952674041,2.242518851738104,2.1832187468249997,1.855594878640086,1.9193325173713731,1.8628845123188602,2.0093377714040086,1.8272354283014927,2.00251946346178,1.7084143821045534,1.600457094167971,1.4174821240507425,1.6676077316004825,1.6317840450181922,1.682057781717258,1.5595122725661734,1.542873320116669,1.6205464115820094,1.604433625145845,1.4358452150322754,1.5403294863894323,1.6242651138354856,1.4740080283035273,2.283923260752424,2.0206729663033074,2.9428809294652383],[2.2483396375655946,1.7919655423544705,1.8870856333509614,1.4722737489910371,1.7850292564934704,1.6002058180521042,1.5024861522328266,1.5396276595439131,1.4846445776185309,1.3816692579789365,1.3876153989460436,1.47017354313637,1.411844899068381,1.3456303035053612,1.4503573063533952,1.4344850618546703,1.431457757165034,1.4458008697430234,1.5287166393705622,1.5602177434134905,1.6685853605302068,1.736235691590716,1.9652511066015423,2.0647081932562985,1.970956212642199,1.67623602723798,1.6307834707989295,1.4878147864713405,1.5146470561490715,1.4684703910809265,1.4765513535894483,1.4665290407881006,1.487222908276581,1.4873363187480402,1.5220691405824354,1.5199568354786892,1.5412558434621575,1.5473859734274755,1.583673288364109,1.8129441249420755,1.8642807891731743,1.744059343008551,1.8664104074863261,2.0859910973043725,2.1519976442018103,2.0143164217388785,2.412352956754276,1.8809989012676471,1.764131362903044,2.0216967041657568,2.0401553125776837,2.6492890283158705,2.794448966798501,3.348478764848232,3.367320449806776,2.9803177185533487,2.8336920306871054,2.780368329217583,3.069282451962697,2.84301316513083,2.3510016088586574,1.9305622695204365,2.1325754143076443,1.8941824133196685,1.7398012469887885,1.9504540427749537,1.6031921697279572,1.4998158350602993,1.4731780082932069,1.4437663141887491,1.4358681942392217,1.4648029295364873,1.4115332866779702,1.4798846329609294,1.4517103544936918,1.6813200682983358,1.627145682712031,1.6153053642497257,1.6549113996151927,1.7349716169351774,1.6151747533256688,1.7844324485356926,1.573034945649845,1.812919669529412,1.676916317809347,1.6149686429365213,1.6346265098359278,1.638430257761026,1.5732274891226963,1.5927533418190134,1.525880324992112,1.586815255124822,1.593779669373576,1.4924544987277006,1.46112433970832,1.4342275033427827,1.438333990650908,1.4778067160721648,1.4751803343571497,1.6250145037295858,1.524510466262563,1.5753219959354967,1.5377806933668223,1.5815964355796805,1.7772601892130224,1.5368806256271714,1.5679295430678575,1.5537707275418573,1.6199499334163678,1.6471082113367255,1.6114909812027292,1.5054323344391711,1.5165413008173232,1.5038696373887392,1.4412226311262113,1.3993538187674417,1.4438524192558342,2.332678141532942,1.5265637951225763,1.4250573732909242,1.3459277940607284,1.396447275732442,1.3774182971202333,1.2764117363922365,1.3478125378708994,1.4563102472052123,1.5475410620913168,1.5213476677194004,1.5957292503108045,1.4715186141893306,1.4822141028433553,1.4176896573917894,1.4114774070293339,1.418354941510631,1.444142396632163,1.4481530489279009,1.4168462202451981,1.657334180075946,1.547854972464997,1.5402582277333388,2.2077311779786,1.6492789835140722,1.4382407495823648,1.5266058668701936,1.5378835743315482,1.5154159354400545,1.506211928022127,1.481579589063913,1.4691940728120678,1.489269156901658,1.5846780882311802,1.5318731395995764,1.6030126809755763,1.8599770672714355,1.7446213789401075,1.6083014463837626,1.5511169276620789,1.5709384160453508,1.5122030706529122,1.5375779394425113,1.4898349128752253,1.5212857323255236,1.5992588478059544,1.718209503988242,1.8860418383246642,2.034047317866471,2.0585933703426504,2.5787328342678437,2.386340671261251,1.9920265235622217,1.7633390584168094,1.7023996628564306,1.6278733324367025,1.542746436149456,1.5217774167802773,1.5197014345407929,1.5022174640936112,1.54666311031742,1.5266639203928867,1.6000927304164059,1.6126376069138035,1.5162563986111552,1.521186647334892,1.602529034111389,1.5743273293550437,1.655013726913054,1.8022388895013488,1.971727208706476,2.5932240748705055,1.8286413804497001,1.9600151309416116,1.8215309364107775,1.8189520118204539,1.6468723463803467,1.4237260894292625,1.5077979545272682,1.5506943191785874,1.6036709988541828,1.802069974185457,1.7524488540639112,1.9447565999575795,1.8561671779812265,1.7590786963402416,1.9553939449503643,2.038868276724552,1.9005108568361004,1.9485633957483788,2.15119949798093,2.0815575401149236,1.959269619326255,2.1062980927976405,2.210985944183596,2.0185804788083255,2.048596659011103,2.1889416598099873,2.1821517970290945,2.471414999128838,2.65399040647347,2.4699605843413526,2.5294825081674857,2.617280586053786,2.701678888522334,2.9026796251872358,2.3181445053964818,2.2885900681306963,2.240509325170304,2.1880026626563702,2.271199087795529,2.3039374103082606,2.2728483099955206,2.144623142001297,2.2907165103372114,2.2772379585591027,2.1256091800020394,2.1771101609280827,2.4237451186632155,2.384683025407381,1.9490795776300398,1.9957057052358136,1.838492932684271,1.9081208307521964,2.0336457257151324,1.9319087577775866,2.0193629653596123,1.9204838753424314,1.91947673926698,2.068901172755643,1.955698415330943,1.8889037806977054,1.9868868292489075,2.0090629142780667,1.9476838839424986,1.9798125965485662,2.115951468162672,2.087441879722542,2.094286123271305,2.1648915432736033,2.254362567187083,2.2981545070356173,2.283286612599526,2.171147461362013,2.2290836720518423,2.364769610199607,2.269244903267808,2.226922389586059,2.381164080104228,2.415310712718763,2.2939136771201687,2.382734064987905,2.562399848617166,2.521039820765825,2.3935080415553553,2.652287010113049,2.7504352003284507,2.717787004054736,2.6198977784421755,3.1223846231906878,2.9828556685470855,2.8129561776258662,2.2342967860408303,2.2103179414337815,1.9649919717460425,2.0395125075342144,2.0236117826796027,2.1306378290687396,2.0279454552344096,2.0970826318599562,1.8373025502209246,1.7153289091558759,1.5934985811612794,1.8181605366108031,1.756876021610245,1.7833220410916384,1.7328768232737723,1.7464307233923815,1.7913662880126737,1.796564429471344,1.6944806918511053,1.8448361799397468,1.8311319488096356,1.7488306277705632,2.5984714232916786,2.359862350643224,3.2828408258596418],[1.8341311569460539,1.2321796249170025,1.3578881321761527,0.822462838328965,1.4382622498289255,1.0908279861105294,1.1307616364049755,1.1974209488365861,1.1120707427655576,1.1142401975711658,1.1279779736118911,1.2351055578500605,1.2810598820448522,1.212879653816751,1.4795660678442513,1.4501612969066984,1.5131266628911058,1.626248693326862,1.7747000454741721,1.8306805684992087,1.9805082383106556,2.05645746726791,2.274072067732184,2.3681956989458977,2.258220964420183,1.969881948127396,1.91150185743032,1.7022736814832635,1.7007067775645683,1.561336328688748,1.5938683843382062,1.5149876771880995,1.5464224835362668,1.6136973657426035,1.666268289689889,1.6956688127890105,1.685352260807376,1.8021531598504548,1.8381429910871032,2.065173543134096,2.1253303458131065,2.031339322753928,2.1408290898633626,2.398195801758124,2.429710051996947,2.2749031318225454,2.7166629912575853,2.235620209954115,2.097961097191819,2.274962258765261,2.374590385745628,2.977687284357266,3.067795019417215,3.526557287302834,3.5780041953286204,3.1964854877616173,3.090924380334297,3.049444425881805,3.2583625932368525,3.1262386377118943,2.6296117383723336,2.2105576756525225,2.307369891803514,2.1529659987746017,2.0637637692279687,2.186178205350363,1.8963175897225713,1.7573204169654035,1.7403889620870112,1.611498730661926,1.594332816850891,1.6637659178623112,1.5987094176690178,1.7585985925515208,1.6716696571430654,1.9193906350858796,1.891751671501709,1.8394865219797027,1.886011714220359,1.9948769454793684,1.8496144887122274,2.0157540856555762,1.7943452115302079,2.0482992689004864,1.912160331404557,1.8210873178235496,1.8786934139055624,1.8299909675688677,1.7844987430637764,1.7655061205518938,1.7249638219869148,1.81591667075389,1.7664372091122562,1.6108625184327348,1.528257666275586,1.4453075334061372,1.4244294016939578,1.459902648830888,1.3628294353889367,1.4025860388686835,1.4708216648600982,1.471821039572928,1.530089276735971,1.5162654049463453,1.7801958687594124,1.492842910294923,1.5112706165965384,1.4993684518282941,1.4280453900823722,1.445268979479228,1.3273692138847686,1.3826227494447099,1.3220399613935088,1.430273568952223,1.3970521482147469,1.4318691873997274,1.5560774610467336,2.3672397145268964,1.7285515257364599,1.5789858915520245,1.4438814702538507,1.446623243696228,1.3847588564444175,1.1608592099044053,1.1130322883917698,1.3165326530275283,1.2252393373964034,1.3705398934766884,1.4335728438826494,1.435818726514682,1.4396528326614855,1.449094458600178,1.5187229719205597,1.5265010309744809,1.5478855033250487,1.4821510146861119,1.3702718104609886,1.6885983134100455,1.6264011591916825,1.710239010111263,2.5350103211886785,1.9667450752189062,1.7260499739943744,1.7576194679410586,1.7744937687213682,1.672360724845585,1.5989610577105469,1.5124063932638374,1.4425778926041168,1.3308400325836283,1.3594100195969037,1.2304339747413884,1.3214025113426746,1.496723595034865,1.4226808763544978,1.3749170299594555,1.3856875212626654,1.4152307154955117,1.4370009571680789,1.4772493010570602,1.5361854955509637,1.6565757515143436,1.751631504085509,1.9244780798922172,2.046214706513448,2.158746458003852,2.1477451088560637,2.5862441040231587,2.3085814625132866,2.007889449549975,1.7983497572183487,1.7780641199790375,1.7673802203236562,1.690429120589753,1.6657102902472996,1.614244420807289,1.583936974683748,1.629699598448523,1.6982287513950955,1.7260197505869816,1.7818004341033509,1.5942104502600085,1.686116165896222,1.7529330021596001,1.7516657018495543,1.8584667539029127,2.041634864234181,2.2317472510973593,2.6907835056561105,2.0414466959906563,2.124295809638112,1.9370156486927879,1.912664107668901,1.72749831602143,1.5546528325878617,1.6980724897810457,1.6995673417112351,1.6781644180465465,1.7219099203321457,1.588632279069565,1.7548879577035008,1.5895124168306174,1.4286845530758492,1.5781938440714574,1.6531384205685478,1.4157677233006445,1.400868523756264,1.6518312840344997,1.5671702919786754,1.3403001540468793,1.5097365189595622,1.6255410541734296,1.3753183230389492,1.4121489938614664,1.6204805165389293,1.6174682084336076,1.9516897688368786,2.219329187884461,2.0200731269964933,2.106779251986339,2.327455892968955,2.418293688031171,2.7471917171657947,2.1441723896751714,2.1312547926416396,2.147739817798629,2.0822705279485607,2.287482020536657,2.285159618079493,2.1634996418082806,2.1456603467411535,2.3806018286049095,2.306258808360799,2.1572635936168822,2.3558431439154526,2.5539425141534107,2.4558501731806666,2.084928339749881,1.9348425518796786,1.8529600351978037,1.9154707117101073,1.9182782324264902,1.8462920701318386,1.882280475835374,1.7596896942401532,1.7143708702513492,1.7805976439703686,1.6461783992633325,1.5712748073951508,1.5887627943682592,1.5667112673689325,1.4624619099110314,1.4517293950689187,1.6389256152287863,1.5620404555108105,1.524677702435072,1.5997202009776124,1.7348790589041145,1.820159838149935,1.8820405811300902,1.8161915105057649,1.9757658777266616,2.0272407884169903,1.8599836890522348,1.9650014327189262,2.131544369897843,2.0821044208016066,2.0048656990984135,2.257986219274717,2.394005334887711,2.2266716092240073,2.2300056209962884,2.6306282486312407,2.652517187825465,2.515012741168373,2.2476699971735825,2.9376290027156635,2.6613466565598136,2.4361195403036615,1.6935422943909717,1.6473056988622383,1.339319217014205,1.4401139884557712,1.4139816295522603,1.6051245839964923,1.4644585263039664,1.7557786101023156,1.381442890057346,1.4178138866562504,1.2634021195748528,1.4157130938148137,1.3363982833755148,1.33022075190102,1.3291524325948085,1.2506581143075166,1.2101490630749787,1.2355460427177831,1.2493461265135744,1.244121995211975,1.2386387594246442,1.2503902586460778,2.430768152849211,2.3019675532775286,3.066183016040151],[1.7501974009524481,1.2337922083325494,1.4074665435987883,0.7838244317688019,1.3952426094738777,1.0227884287018068,1.06811109352895,1.118196081039065,1.0525707549154877,1.0324530396324587,1.0438409234382078,1.1296078281645034,1.1678081898750163,1.110462846243283,1.3519156167160795,1.3131652934472133,1.3606965936326034,1.4373396355679295,1.5478194638439529,1.567723288740588,1.6712105733372582,1.6962680163426254,1.924104526191128,1.989822207351756,1.9319882859220205,1.6779135114827939,1.6312344081383185,1.4786676910619334,1.495817074648597,1.3787892069719612,1.4253057539812273,1.3276719967456332,1.3559727607781473,1.402075682504556,1.4420760297926787,1.4722705209179283,1.4548278507553953,1.5131295879548852,1.5360056151368462,1.7151523873885295,1.783352732858703,1.7050635253506654,1.7841003194018172,1.9925161062462664,2.020559616726791,1.8400427472174377,2.2203591347243545,1.7325698833329664,1.6260391540475636,1.8599413813521575,1.8811798107511843,2.5707362133431815,2.6866192376482894,3.1522174452123495,3.229237567011947,2.8464991277871294,2.7393767241500693,2.693467189128438,2.9731325569472715,2.7476709050767756,2.286109334723069,1.8853510913503784,2.0828934149159277,1.8445014131389288,1.6985394142621184,1.9160218229760877,1.6030206719858862,1.5125518784239562,1.5208773792110264,1.4533853234809069,1.408028157861299,1.4522810892865112,1.414308503457085,1.5070656949873904,1.4438625017118736,1.6870100053332278,1.6168054100373503,1.5809769000225053,1.6098491188140263,1.6809459590559246,1.5314765067580207,1.683514191295548,1.4561713059013857,1.6855733485030975,1.5691954181896695,1.5366623393673609,1.5767468469583528,1.5582400813325379,1.5313956805460847,1.5323209287203305,1.4999044414306602,1.5973882513602953,1.5772257082206325,1.4278705731407868,1.3725206321383612,1.3197766918275426,1.3173615573581556,1.326848481499567,1.2304404165241836,1.2825571088428949,1.3017185009657577,1.2874544245914659,1.3248150540686945,1.308247789981406,1.5200945880121433,1.2563086437811974,1.2029721217494356,1.211092921951549,1.197324017119559,1.238772985587122,1.177261447334177,1.2292118962017198,1.2190925910188095,1.3267648224837647,1.2961590818599515,1.3124374288497633,1.4059485934071199,2.35873892387533,1.5159160052940601,1.4140365443547687,1.3107760597411082,1.3447919812405627,1.2960723138841599,1.0762898373718681,1.038563043750679,1.2286516537810428,1.1260562567743766,1.2392307382309276,1.2461170589199464,1.1555147927880205,1.1593830944013848,1.0963602268612063,1.1115704585254347,1.144669467160372,1.2073479660580457,1.2456189679704845,1.1600274001304829,1.5139274259928197,1.449699424488623,1.5259836219277914,2.2650437398610817,1.6382252195621076,1.433126637874653,1.5303499995024255,1.502314695428167,1.4577399141158185,1.4239258993030939,1.3582472938756351,1.2848019009762164,1.2111011099656055,1.2244053613072439,1.1283995299553167,1.1835938360362563,1.3943511249224767,1.327231007495428,1.24744686730232,1.2488127105483022,1.2617569498716883,1.2762964307369749,1.2862092514689019,1.3334292213401893,1.425472593866107,1.5467226265715919,1.6509265364963468,1.7570975530100361,1.9429509519166641,1.8542077429004824,2.2676402078169366,2.1269501433323788,1.8844393427320751,1.5961099847957279,1.6048423318502354,1.4891456628763569,1.4008197358585164,1.3827907747183543,1.3381948687290732,1.3536674729975855,1.3576370506626414,1.390779439035817,1.4106780021301855,1.446910791925018,1.296881800654811,1.284889781417199,1.317102135005025,1.3530610952352937,1.4870110926206945,1.6863190923138796,1.8241203400600785,2.4388734042131306,1.6693127838243516,1.7376839901915644,1.5156053805874323,1.4744957074233223,1.2892170726141297,1.126808862377376,1.355814112537359,1.393439477612209,1.4228616470680486,1.5259773983071432,1.3904348328700389,1.5232261624013572,1.3644945365149992,1.2435209836826024,1.394814433853614,1.427283608607769,1.2341665996302118,1.2420184927928133,1.4283475435387034,1.3387074132382175,1.163739126718109,1.2973185614786298,1.3711288268428148,1.173658314591698,1.2166278703706819,1.3457422233336047,1.3337780532071526,1.6367333719561596,1.8866162124844656,1.7260702658387417,1.7793373115760858,1.960051196349831,2.1156452220340785,2.355952743871707,1.7797297347713616,1.7756309996235495,1.7899191714258813,1.7686131947234267,1.9092238685834078,1.9049210667187761,1.8456732242486562,1.8046774912373735,2.0018902374461325,1.9622825861961852,1.8348771274104836,1.9715228484537999,2.145211857459138,2.1313127454902023,1.8513572531969325,1.7025311498219766,1.584914658759216,1.6107422444774129,1.6301950603578397,1.5461668339724604,1.5800344662462382,1.4674329433999809,1.451054150883636,1.5170884405329035,1.3914525183278592,1.3511323951798928,1.3586111712562923,1.328340958511551,1.2715420873756418,1.2517323811592038,1.3825682014463911,1.3177993745078473,1.3329792655714443,1.3395330051538112,1.4370858902548733,1.5241543635793202,1.573454998170435,1.539004729642184,1.6639900782333552,1.692427752145836,1.5794905036009812,1.6700919230493338,1.7909264345199494,1.769327345678323,1.733590039691955,1.920337999135564,2.0546779133181214,1.9528052133431655,1.9313783788419208,2.215172273364669,2.2946771812288334,2.2182198086194505,2.090051589570072,2.731137082209232,2.6228083531688964,2.1697115289766185,1.4116584582313851,1.4324659614041728,1.14577874629004,1.162830479213755,1.1779909251298057,1.394370524215974,1.346799970923411,1.7715008960522407,1.2266472899066334,1.2579139228636897,1.1137013211616904,1.3236976150118025,1.170435410201449,1.1629892760873395,1.1846093890221348,1.122306372248145,1.0809004786375158,1.1115652511724172,1.1915862175979768,1.193039677995308,1.148826177861592,1.2781049819076045,2.522518860887791,2.4646156713226444,3.081353968866029],[1.5327142856486895,1.0223353332413407,1.2410652305238277,0.6043931382515167,1.2416880823809613,0.8485724466775686,0.8980467448894953,0.9292585713199137,0.8950493257396359,0.9021785058464771,0.9123074891320077,0.9706524802208079,1.0306421057226893,1.0075896952906205,1.2691652784629308,1.1888136096388908,1.2543145899320347,1.340832811434788,1.4697411939422493,1.4678124895620746,1.5784226628524267,1.5807396151805972,1.8444385291552954,1.877538485891671,1.8437018134452232,1.6041860745153733,1.536702756690576,1.382090178288596,1.3802495564798425,1.2342740546339661,1.3108675594431283,1.175059222849305,1.204463638020658,1.2698232016859072,1.2928862430020263,1.3351093949635093,1.2957562726975898,1.3676950864941069,1.3808932954154958,1.542086265854776,1.6254692858814626,1.5720473070380419,1.634994372018117,1.8761719539194064,1.9543830093379437,1.7820142968219561,2.2351301886141384,1.6695120340238576,1.5394448460951915,1.805451938405138,1.7888457337003771,2.5487780299527283,2.5825636693438927,2.8667456241757523,2.9643482909863454,2.6601696941750044,2.629501181361201,2.5074367508710314,2.7640728624195794,2.6096873005493184,2.186911790143581,1.7461214524521578,1.9245490495452302,1.6538080855600987,1.5675202988644652,1.7845987904542564,1.5022122933722841,1.4226719259998801,1.4747573503121207,1.3982120029090142,1.3682475676503274,1.436277110310387,1.3595361070205412,1.4682682775423268,1.3526810101362834,1.6004214681087259,1.4974837395817466,1.4474059719934784,1.4603515630262114,1.5266574223412572,1.3554786782896682,1.491276214827864,1.2676249900225875,1.472944890428273,1.378838465135691,1.3571544897492749,1.4191121561866005,1.3830386257928238,1.3853361994374995,1.3797223408101944,1.3792158160557062,1.5079089457931385,1.4986034383992877,1.3160046261265046,1.2508344944084087,1.2111450159725659,1.2236875747527554,1.1778181807080235,1.0680281906900628,1.0925632270261059,1.1326917298518904,1.091176659929796,1.1193378966528453,1.0863237697904984,1.2858832858037867,1.0328666205375234,0.985859397540282,1.052971679141934,1.0194524889062169,1.0209303832630396,0.9573356289561233,1.019372117976624,1.0446142072104592,1.1618438541198444,1.1776949465415836,1.2410408226751253,1.3358573915710914,2.2795379092384573,1.4932555396260436,1.3480071683695432,1.2659857332825744,1.2807747681159456,1.2624302105553762,1.0080878119824095,0.9106355313647135,1.0798864245833377,0.9437174149037372,1.017906532936783,1.0026037149121787,0.9407539239135708,0.992008905660721,0.9244202710418633,0.9065879338162433,0.9282061456887104,0.9549443705431381,1.0200102573097436,0.9550081759032872,1.392835242666772,1.2806089946841683,1.4516045085357436,2.1799367159964196,1.7047381828656294,1.3723171619842511,1.405695460623311,1.3460973824865738,1.3183038319546034,1.2826686619535916,1.207433639032391,1.1026843045371697,1.0358000617575185,1.0244158501653577,0.9336933451126463,0.9540260401329713,1.2592054132358628,1.2033679576829253,1.0530380561032628,1.0630048214642758,1.059851737741175,1.0896745948794262,1.0870920199761926,1.1365387000697829,1.24744240416612,1.3726043367070442,1.4631411618731571,1.4939074072797736,1.6812302665294014,1.5335722723161462,1.883251432326334,1.747133061257438,1.554509501642247,1.2766500890595256,1.3299375054248492,1.2315339230838807,1.164340860780793,1.166800287586297,1.1226264075291947,1.1576883072229682,1.144738961222477,1.18208534241814,1.1714685511977656,1.2224664349353944,1.0618379345288909,1.044695490523569,1.069771873305767,1.1174899889085304,1.312101765518767,1.5296769696231969,1.7053060759443122,2.318146935925114,1.6319646388366336,1.653232106901382,1.4364976722378286,1.30651941393189,1.0975568657948958,1.0527878585342418,1.3384251000351954,1.2989736502494864,1.3260122183610918,1.4002924672044654,1.265715106371099,1.3579971369816226,1.1750919380048854,1.064140540559663,1.2398132660326768,1.2435069336703215,1.051296850063179,1.0868723726093963,1.2707644339175825,1.134129016335177,0.985816716328684,1.1422925506847592,1.1900413054631795,0.991442246836805,1.0676495747810144,1.2015566312650532,1.1884805159933625,1.4735948566662764,1.7291670405123356,1.567646137613836,1.5944824268312325,1.7825507977941268,1.9404521839712952,2.150073038156033,1.5907622604349487,1.584867985196868,1.5954332403233729,1.5879077570156837,1.7298656461172695,1.7347677482338715,1.6737930597317694,1.6381529868806346,1.8621234994267275,1.8262232073702953,1.6858387296188075,1.850874702337124,2.047062231459722,1.9878133468994723,1.767917978366022,1.5580021042941734,1.4445754882603077,1.4539904883185661,1.4481738048909814,1.3532259348687257,1.3749887756839196,1.2609113095730582,1.249927684780294,1.294384461131785,1.1702488077069786,1.1460995393003455,1.1425002806625786,1.097919621794375,1.0638832794666926,1.0397306546433864,1.1486546346545983,1.0923515589472166,1.1625555407297554,1.1185702001698044,1.2060051429125804,1.3017090077034092,1.3476676938491623,1.3187354791878179,1.4469223533159852,1.4856767660575652,1.3814775238992725,1.4713394960998827,1.6000017634839003,1.588405763779553,1.5592390597755195,1.7444591262776374,1.9034607061977058,1.7950018561558931,1.783033703869485,2.065386360186886,2.180084794868344,2.0864674390862366,1.9948118979920992,2.632563505414062,2.585252299914962,2.0391389315318476,1.3545209644046858,1.315510719655617,1.0149780395051524,1.054079159028723,1.1311882816555248,1.4712418789934534,1.5209097601138764,1.8068452269853548,1.0208138739262258,1.1377078362295134,0.9447982237595091,1.1173537799812814,0.9607981435671197,0.9378934533640634,0.9534592815179268,0.9133557224723379,0.8612823878048325,0.9013376285280142,1.0048988944611128,1.0004366611896904,0.9470030338571054,1.0400090164411049,2.311250363802347,2.231854681214159,2.786222192769998],[1.328931563590047,0.9918288001926316,1.2659437319448132,0.6025430650522099,1.1695231656253573,0.7746459301914654,0.8389592474516634,0.8744849566392034,0.8644715891938684,0.884588759962887,0.9019523122679923,0.9428297482043156,1.017091915473429,1.0074323173227988,1.2719863025837177,1.1806462592602707,1.240316095157823,1.307991955538414,1.4104285011605973,1.3972251934341033,1.4769869827539128,1.4565673845194924,1.6888069988540815,1.692566839167561,1.7017793586048384,1.4963914086612602,1.4426540777271353,1.3324675605590102,1.3416245981953459,1.2041145246460587,1.2922137493358008,1.1481194281871283,1.1825481376075797,1.2375339506318341,1.2513397314101813,1.2871097642500648,1.2438430047855165,1.2910720759043937,1.2883006659229055,1.4003339084161053,1.4879120709957792,1.4567396109683082,1.490837987632056,1.6879438755927716,1.7590239246526083,1.5850161990527212,1.9971120947716612,1.4333527388787735,1.386151589910791,1.6472276007471567,1.5725760954819115,2.380762277380441,2.404745556156076,2.614757869407004,2.752105195259342,2.4723535062037905,2.4688563024255235,2.3376000474823404,2.631259630709462,2.442088804649104,2.046997607072358,1.6392571615920337,1.8560524463351111,1.5422122412390897,1.4418492991382101,1.69113524360016,1.4202960775036695,1.3634505306177906,1.4080297938832962,1.358811105482703,1.3247182487873304,1.3890744301862512,1.320232358341764,1.3993826531081768,1.3090911654557795,1.5444938380293232,1.4247091586351026,1.3860399443128202,1.3892273454312003,1.4201493120379516,1.262754269024309,1.3748157083270673,1.174249663200303,1.3305874483128632,1.2541293658096484,1.2641458961795693,1.330157530850339,1.3124558769487018,1.3203047352284527,1.32900778250721,1.3372423908263662,1.4698516463891895,1.476959331034283,1.301507286930427,1.24490284077837,1.2148653864989476,1.2285157383185779,1.1764532834002432,1.0562028872811438,1.0487275204853785,1.0934567242251196,1.0168769444559218,1.0415119928936456,0.9910076444188651,1.1516413134522983,0.9228381710345083,0.8476737330745375,0.9543122628707156,0.9038645295321635,0.8840111457944541,0.821468553561834,0.9210630880599522,0.985291887465481,1.1184732570078404,1.1657628978310965,1.2261365009119183,1.3101945582779821,2.2877458954942176,1.4200365389564713,1.3150022410709181,1.2421931571141864,1.2805704114017313,1.2481614975864601,0.9902245272393041,0.8857446121229577,1.0310482811048154,0.8407725030517972,0.9050776853670006,0.8378759175218518,0.8139043960141447,0.9113055251494763,0.8274110620769158,0.7629140813764701,0.7759661765215559,0.7814092603173277,0.874538326378614,0.8131722715561501,1.3107020065249118,1.2403359538073024,1.3969886900245299,2.0092025118517953,1.6179856918910274,1.274661610038552,1.3331422290753276,1.2601611300048634,1.258864569530948,1.2384327951895058,1.1718145899979366,1.0428924981038907,0.9946872639088278,0.947225180874598,0.8805055470406168,0.8788695225407904,1.1824343513880076,1.178984724346665,0.996618766989271,1.0224603986640124,0.9914175908206838,1.0403045408963503,1.00080490134112,1.0422129434361374,1.1733649297540623,1.2933540209315446,1.3512297914801021,1.3153081201374397,1.4904935137550661,1.2689911794776416,1.5039205591207734,1.4435993158596854,1.3253380245078163,1.0564330607009471,1.1785912528130573,1.0761525006785613,1.0303938982177372,1.054142163945219,1.0184415300793135,1.078230280287985,1.0483768469079855,1.0711869486238845,1.0340415389843052,1.074326428822096,0.9188700498645123,0.8724562140191252,0.8833443201680726,0.9459521652349006,1.1599637218224228,1.3741217118562497,1.525751716716912,2.1812375431204147,1.5263663918183752,1.5445758712079427,1.3780151382451544,1.136957442100574,0.9529208027315359,1.0084482202504241,1.313614488769938,1.263779089474819,1.319203030085011,1.3460804250155405,1.2011327698887413,1.2411714336772168,1.0437308197868684,0.9397671543786085,1.1155844579350722,1.083742360914289,0.9064194594026277,0.958810991364429,1.10179335636982,0.959963894913128,0.852694062543074,0.9949419124042169,1.00968000264778,0.850230979878264,0.9347663193886572,1.0348545475299353,1.019132882436006,1.263854097882926,1.5143777644465943,1.3679163562316965,1.3671843795239513,1.5350787196935427,1.786846714871724,1.897304985326768,1.4482236438763636,1.4012707224114294,1.4148829658317696,1.4232288228416192,1.5524193596514895,1.544073382738196,1.502564734703969,1.4854661931929996,1.7169105229820696,1.6860775200608498,1.558747312271226,1.7447985662777963,1.8433284475736131,1.8302912584811815,1.7316141510033911,1.4645162460348964,1.3782674143253462,1.3534605193929692,1.3157817382869343,1.2340694196282085,1.2335308455657865,1.1306871591705057,1.11513760938879,1.1239229360205982,1.0183662606558939,0.9898667823476751,0.9718063163688402,0.9150389396958301,0.918823523214465,0.8758448499885979,0.9492104973642018,0.9064664533724824,1.038973520942152,0.9235551521362029,0.9819605941798932,1.0810466335715114,1.1332695548133644,1.135070651847784,1.2635182544713823,1.2656703884801683,1.18860197944444,1.297996264914161,1.396445010617511,1.394266693939644,1.392915153160412,1.5499701811877655,1.7127532974845157,1.6445577375468494,1.6074113109633372,1.8511445974720977,1.9912954573532007,1.91442936325963,1.8972084249868788,2.465510699569228,2.5421959201751165,1.8645068984032354,1.2363889559948473,1.2034569569910347,0.9145338155661066,0.913815322055337,1.0507316484776468,1.4476620056547809,1.6664489802166707,1.9141757170110532,0.8706806651666108,1.0676300268390142,0.8001532634120478,1.0132654546822994,0.7960371259760965,0.77584187748148,0.8350466742798798,0.7648952952528609,0.742099630132918,0.7667706765163484,0.9585164064530307,0.9403619480715876,0.831974024997389,1.0757816430741884,2.4239711095374203,2.494680351349186,2.890814940136437],[1.6934782343142942,1.325315170116762,1.5110607254791237,0.9329753865224292,1.4271183587082459,1.0971821176652896,1.1477157011316255,1.1804078740669184,1.1431987512617026,1.119065357962831,1.1293586011596362,1.1954691449823664,1.2059929824321987,1.166281095417665,1.3497590153357661,1.3035618412198782,1.327544980055346,1.354845773456535,1.4243053943576471,1.4321091156317236,1.4925383871647198,1.5139425253416114,1.6886372501321345,1.7294587249355693,1.7192104139658542,1.4970549494054928,1.4716943031061887,1.3798767436543424,1.4098926037080088,1.3340613846897174,1.3699438572933003,1.2961873021601862,1.3271130590150009,1.3391769117321088,1.3697971071775004,1.3809742767513056,1.3718988835890076,1.3935117376234223,1.399598306635153,1.5305761527117832,1.6134331609582402,1.5382815527166211,1.5814009587875058,1.7242243253155343,1.7496436253781547,1.5958563965035912,1.8853833025934728,1.420231330691826,1.4230688647485155,1.7259357369850448,1.5997859030292396,2.3017018555594095,2.418033277211691,2.8084994972147292,2.94061573729642,2.5702298564313852,2.472722895872767,2.4276316198055348,2.7769551948322078,2.476270000470794,2.0549359770578954,1.7206822974431168,1.9850270683025342,1.6558491081419862,1.5057913061900352,1.7563354233130886,1.445106411384279,1.3869817188463327,1.393265850309801,1.3703056917332241,1.3506375037022489,1.3920797134139598,1.344452389499663,1.3915215385391682,1.346958839462422,1.5489415771168067,1.462356138154154,1.449593699301328,1.4698672662722159,1.4999280662303698,1.3803739804086008,1.520448146349757,1.3197338688714297,1.4911831284475696,1.396603583721378,1.3997900967944383,1.4425871530225405,1.4472067047463975,1.4075859090580172,1.4281583982502337,1.3955381746648525,1.4811544681319349,1.4998293956325355,1.3803339938923125,1.3490379628332898,1.3152164603554248,1.3370491790973364,1.3174828157995635,1.2430176500927392,1.2986527474471528,1.2932229680751435,1.2646209097992693,1.268595225819409,1.2319487040055064,1.3985812096415124,1.1612507383942605,1.0608786596906574,1.1039458706486034,1.1119854545223817,1.148732466536925,1.1423507523697285,1.204564023894297,1.2498922517906006,1.3306304060787024,1.3096420024817088,1.3055121837142862,1.3600043281146252,2.3283079952182937,1.402731110906169,1.347488281005682,1.272562326946985,1.3335846890229355,1.2882380938503297,1.1169339341486004,1.1063504970905085,1.2617234483027981,1.1598442760697891,1.2330029137656826,1.1721942036163746,1.0511436154589842,1.0323593388886174,0.9227319612413251,0.9118440989709954,0.9776026458864623,1.0488283961080507,1.1887583384511873,1.117281064002341,1.4881829114727316,1.390807843710575,1.426782392690146,1.9113186193786926,1.4617745659400574,1.267796368656413,1.3921033412626713,1.3838054285557502,1.3818399654236813,1.3745429990996647,1.3349537371298326,1.257886615379312,1.2322539886300807,1.2293022671878178,1.1697056514178696,1.1818848635670975,1.3931173387597702,1.3629052003768467,1.2702278353094225,1.2678863320867915,1.2480930426733658,1.2611361421142613,1.2486721589843255,1.2743966176408965,1.341232971909512,1.4630703825344813,1.5015401821761876,1.5713606353066316,1.7660891226277489,1.6399986411590872,1.9477161128954603,1.924635260719937,1.814679358653549,1.4995824803230546,1.5312728051037365,1.3592207848165867,1.2740132114215184,1.2645121918405255,1.2303732338796673,1.2853783912758718,1.261128100413596,1.261282867500158,1.2458523341725016,1.2814499688985854,1.167250058928374,1.0872211534028542,1.0863973920147698,1.1652578346666318,1.3069007572334528,1.4958809382844367,1.6024724176022274,2.264271880037968,1.5167147685688493,1.61170040817422,1.3660859368955305,1.259876636252159,1.0989198163814446,0.9779075744343566,1.1964904434733634,1.2045484454625377,1.2971511089210026,1.408216369116856,1.3043469123328566,1.373772204226373,1.2382192244414223,1.1570782889000393,1.295821503205627,1.2899170627896326,1.1731335613640033,1.2128099173627978,1.3202902914941907,1.2336965877125587,1.1451835207365364,1.247407477867016,1.2743886558194915,1.1508845818290907,1.2152416659241987,1.270468518000045,1.2449652896650454,1.4891633906731554,1.679350931415718,1.5463766855379735,1.5664331224522732,1.6808217903749831,1.9366711173082778,2.0230793957069872,1.5482985185019087,1.5117059208483583,1.5272405353281073,1.5408646078510047,1.6302376840594845,1.6175059572804962,1.5949230331143551,1.553626517362718,1.7330063003946925,1.7109847423087223,1.5917613859014252,1.7063500441404003,1.7971795696719164,1.8391880893748844,1.6938617482710805,1.5313743848170849,1.4242648853394346,1.4131282169394244,1.4358394909967733,1.3665046421760325,1.3941149051857347,1.3017137803229921,1.2917423955454048,1.3420810009463646,1.247823960712269,1.2306335333777771,1.230830998258647,1.202022483880839,1.1914064265999884,1.1722614271952454,1.242402336597554,1.2085461558095378,1.2980479018821296,1.2224100629557189,1.272526702646939,1.3478552699895658,1.3699937342682629,1.351028550817531,1.4402675889561651,1.4592597143077215,1.3958018272473953,1.4550941964028126,1.5372819958713961,1.5478443880377055,1.5285993664998812,1.6418856147577174,1.790040087298012,1.759061953134433,1.6732667550079257,1.8901009681836873,2.0338602664293046,1.9872849775696302,2.0056206597744892,2.5198516085995863,2.608553377694887,1.993616099703442,1.3377363497206356,1.3775256199296244,1.1624021996731484,1.114577007469697,1.1401861608210115,1.3850268890976833,1.4780966955186012,1.937660051475795,1.1282531855099338,1.208118366905593,1.0896712351631694,1.285006097341421,1.117864856088091,1.1081601430132952,1.1699071880177618,1.1174663640756708,1.0773845183665718,1.115429894496368,1.2484068678884912,1.2393094171611359,1.1546308148766897,1.3628788311562414,2.6062885703715915,2.624828472070391,3.0958755850271893],[1.6540766824155526,1.1631204988510042,1.3175755523199746,0.7449832191675471,1.331213994308997,0.978860480474205,1.016384004100112,1.040573062357815,1.0101022269871591,0.9921134819285425,1.0002565771910992,1.0584562435288107,1.0942430352781967,1.059897264599611,1.2447752035461292,1.1912885025062467,1.233986493953288,1.2631916754265107,1.352243573700598,1.3565196819253977,1.4208057884293954,1.450934820287489,1.6394239139130555,1.6702174509559184,1.6657218717061864,1.4418839411627469,1.4062178364769993,1.303284995538782,1.3218399600519481,1.2352564187049593,1.271073795155673,1.1867920027061194,1.209134118973165,1.242340061217959,1.2752642394696132,1.289325149235569,1.2859383362538217,1.3151885159508152,1.3280423903750014,1.4763939881974806,1.5600306518358924,1.4704384475696988,1.5183106657179704,1.6830959309468745,1.7417119908934742,1.5861311224572754,1.9052669490691632,1.401562173528167,1.4050372482453966,1.703828030333681,1.5839252653087057,2.2917104711486482,2.398516073482027,2.7345718208192906,2.857179904850898,2.516992411026105,2.442907693121818,2.3480803972156896,2.70869214347527,2.424900781484935,2.005463576714992,1.6427925084948767,1.9171857395240215,1.5653743487570588,1.429497177165194,1.6833650056139724,1.368368872105219,1.300972852630791,1.3119532342827855,1.2711879644731716,1.2546007239792247,1.3072294875015356,1.2427475465520696,1.3028957311787153,1.2470174596324508,1.4467278308302645,1.3637984998772914,1.3539181737873898,1.3875084463290905,1.4159454693005273,1.3071080472761503,1.4602571871832544,1.2625034198640022,1.4335101486438937,1.3515068715558862,1.338162748741168,1.3734814331720697,1.388691532697316,1.3254071477749347,1.3372017872751114,1.2932855917459818,1.3807836325718708,1.3846082860495554,1.262521500505406,1.231545684953218,1.19797733033586,1.208054072710762,1.2026150269992886,1.1200042872072156,1.1899447128055862,1.178745131184479,1.1691220964912143,1.1892226775576857,1.1793761645769478,1.340839869775614,1.1156954831436194,1.04361393646218,1.093158237354512,1.084295696544767,1.125522555846827,1.0687385400943976,1.1181006304016976,1.1417313159311904,1.2437133090494894,1.2219529362467498,1.237412890066736,1.2817731687412577,2.3129750521659957,1.3589300179538628,1.262359649041732,1.2043494081643198,1.2611677125981187,1.25678556429655,1.0558640584093788,1.0123963484495948,1.1824445427557884,1.0676909922633526,1.1558022176014597,1.1422692793442972,1.0483594835579082,1.0152749432472639,0.9499657045162031,0.9615742951580993,1.001560936231229,1.068836299851827,1.160376478068475,1.1335298581093245,1.4109057099171918,1.2744750392051536,1.3548960136948032,1.8186104211355107,1.5483928593522487,1.2237374503704421,1.302522351058067,1.3062767726400422,1.2980016262057101,1.28938620597096,1.2430670113497115,1.1677151460215769,1.1299795017559553,1.1263307168395258,1.0381808459779338,1.0527426874074597,1.3550849316534272,1.27613558074455,1.1525532039129096,1.1454162895770064,1.1492517823491926,1.1634765455350329,1.1816361205404233,1.2113048656615,1.2689993404728754,1.3991013952387188,1.4426383277749004,1.518768612895988,1.7068538013085321,1.6157998013938737,1.9423007819385518,1.9399012554039965,1.7628238382534407,1.4852135145398968,1.4741433649687414,1.3196862777201213,1.2367133985683372,1.214912100478424,1.18303269366134,1.215013644960291,1.2182299046028278,1.2187220113986514,1.2140691129962153,1.2580864027537104,1.1462577168338635,1.0983910501687326,1.1176530720185067,1.1734484489512897,1.3005398274406055,1.4626956499663715,1.588348446306474,2.264057128354021,1.514712460276389,1.616485356351756,1.3680343131616604,1.2979782171215155,1.1509076687771538,0.9970254846564747,1.1328416172199027,1.1243549569505606,1.202574445854379,1.319400584234588,1.2622391083714275,1.3162120579233227,1.1785019611388678,1.097011756762211,1.2302832978734017,1.2310476214012538,1.080966436114705,1.1053859057147208,1.2643699695000976,1.1524137186274572,1.035358291126944,1.1667295212241335,1.2085384033136568,1.047974060749934,1.123271245490609,1.2106059771977324,1.1838062919498957,1.4521269475518248,1.6566824220141805,1.5147116113245565,1.5344349124050867,1.6610439091523852,1.8586635126105,1.9891826968910649,1.5185090743582452,1.4940665064174723,1.4841002506553878,1.4918905031170608,1.5701103654474546,1.578286684005802,1.553364248059732,1.4940926676216453,1.662363472314693,1.6582223179593738,1.514302486925698,1.6191638507834751,1.805207333667888,1.7651746595785716,1.5992345612816905,1.440885614754827,1.3514699913965624,1.3441015421051807,1.374167806920929,1.2970042496342309,1.3243998548944969,1.2580603917933708,1.2387069024147055,1.2826187555891757,1.1937552632073882,1.1883437460811301,1.1628973213286942,1.130253319755727,1.1096009875269834,1.0821779758359713,1.1705953870615822,1.1301869099022253,1.194753803796912,1.1435506225145637,1.2123882623543385,1.2899099486677366,1.3175740801806775,1.2927471176576473,1.3812804091998419,1.4198061731723215,1.346142208936206,1.3986428564079505,1.5023885648760629,1.5121258851085642,1.4815680477971673,1.604292574297433,1.77128611352552,1.7064067552940463,1.6444949864285985,1.852698815489628,2.0205059989809198,1.948449205116681,1.9481501789021338,2.488486253639717,2.598090054298498,1.9668766027062374,1.3155283382162002,1.3116463525896869,1.0528385438975552,1.053747587103762,1.096396025912787,1.4161741429005392,1.52430071177872,1.8161202586076322,1.0836059016854767,1.1643569199198975,1.0629878364189935,1.1905503355355094,1.052178478563428,1.0175807648011315,1.0536717065697587,1.0368493310412048,0.9586256082576834,1.0190408436419074,1.1020139058121046,1.1024204514990599,1.0689278216461644,1.145418981499928,2.3625578039010007,2.2193447986141446,2.871047690466933],[1.8697371257258737,1.2355605546404773,1.3270512383218418,0.7864041044371265,1.3993320530747166,1.0748043206518405,1.0835755246156018,1.1283741008379127,1.0566746760866697,1.0137796002731818,1.0188017504861195,1.1084645923692307,1.1255020235793383,1.0573808463922092,1.2310298178865524,1.2000746720415492,1.2238724488695483,1.2479614228522993,1.3329513807319644,1.3548322836329332,1.4215895528165114,1.471187517585405,1.6611154828798642,1.7096581802239916,1.6916100082638938,1.4448614529495802,1.4116965456524466,1.29502523933788,1.3212318452798486,1.261928810118,1.2720078270777786,1.2273321914581317,1.2477919343906514,1.273129993289472,1.3138676710609019,1.3114575352343454,1.3358206467445228,1.3481088123532496,1.3692959005644425,1.5468801995997492,1.6031404481446774,1.4975159657296109,1.5618792940469581,1.7423602953835555,1.8026146645584833,1.657466618749079,1.993463739455394,1.4770337241078775,1.4504273517410444,1.7544771118470162,1.6636359052846055,2.3426372510788083,2.480079918565451,2.878594399275745,2.978443616923064,2.6208230628882982,2.515790287662779,2.4174405679051634,2.7784694628271156,2.499878420187207,2.047893887243255,1.675076721934451,1.9446502878250567,1.5877496753530014,1.4564203501758823,1.7063495510084512,1.3599622478099556,1.2885020032642573,1.2857589468435686,1.2375250044898716,1.211247295654166,1.2645281957575525,1.2048087055638141,1.2785209152892887,1.2268607398567692,1.4438609525179533,1.3703470494014645,1.3742865415082033,1.4234896044558207,1.4637989692245263,1.3671431136882195,1.533812868031103,1.3472534402483278,1.5499041008532763,1.440719569792817,1.4050264515119324,1.4212173408785047,1.4537799127240256,1.355668458484419,1.3687771411788108,1.3014641438388024,1.374632683946344,1.372721365016541,1.268799347631706,1.2382724301955135,1.2012227713250285,1.2027303401306315,1.2312856380971973,1.1709510801613523,1.2906176110179108,1.2506442005546983,1.2994692679110877,1.3018376642297966,1.3323812510471627,1.4893190492634907,1.2906822613019164,1.2613776526011926,1.2685539014511462,1.2696199118991915,1.3260301145406206,1.2525893178818837,1.2397436700478257,1.221837210599132,1.2792525102553838,1.2245692224094555,1.2197738035074426,1.26140877394382,2.279244707053678,1.3381843249888228,1.2339563825155233,1.1702169618096938,1.2262449636069488,1.2232290920605458,1.043125557041795,1.0296250050733053,1.2082166098170728,1.1781220522536089,1.2809457289849129,1.343852766768407,1.2358841245310128,1.187071876074573,1.1282000411273214,1.1514301767966335,1.185497909284533,1.2476776868213555,1.2830494890275401,1.2856883157146894,1.4215013955032507,1.2533415705575397,1.3521264213454336,1.832652770730506,1.5518518915974573,1.2243095914257383,1.3013103798947612,1.3315268833286944,1.316325810934535,1.3025104162325234,1.2774879436951663,1.2405771954474265,1.209314948277753,1.2495284884276254,1.153126923325122,1.198675907051859,1.473491470122703,1.3612643828647075,1.2621932527924646,1.232959491230412,1.272701887870521,1.2456761850014262,1.298229894140076,1.3049061569070286,1.3292840943950797,1.444134224807433,1.5087460973974127,1.6195734260080057,1.783063192622556,1.7699797515730664,2.162585391582034,2.1482114311969753,1.8655527645406509,1.6208669290660345,1.5573909442829303,1.431196649321373,1.3536870879120249,1.3236614902374058,1.307160180257862,1.3037041180584084,1.3427598367290456,1.3351522822411086,1.3593653300767115,1.3879215053438776,1.30400709689801,1.263914402156942,1.2831857784603367,1.314192258845127,1.4024031612288927,1.5403716230497044,1.681072352639621,2.341908933456949,1.5677542414130807,1.6794336563022656,1.4570074453178663,1.4485896927088617,1.3376033855678926,1.1290243146978238,1.17478226884781,1.2043944077515376,1.2578182792858534,1.4096555594549962,1.382774038310785,1.4550436414864147,1.3615308957169734,1.2875458928426244,1.3886075342353243,1.411320926720723,1.2689897540808277,1.2449206996175168,1.4292252883897476,1.3508636858074947,1.2023052141200126,1.318939513230149,1.390662726460122,1.2225072841464806,1.2622709515115818,1.3579760848915172,1.3305952671092878,1.6325753759846813,1.8149476915139242,1.6734302201981355,1.7101393544062575,1.840232560654745,1.985029914705232,2.160185652081107,1.6440908980629307,1.6346287835340843,1.6177075895504256,1.6391222044495344,1.7015521481861522,1.7063018060067028,1.6795216862771525,1.6199654732487438,1.740644309601103,1.728097357679571,1.5906656584104113,1.673434467900908,1.895271357090951,1.8054169760303456,1.5983994832609112,1.5183536734049816,1.4468148974994297,1.457077294590759,1.528453246308781,1.4768721227280552,1.5056927812039698,1.4537276912113886,1.4310207758326405,1.4914963263813334,1.403371790024332,1.3927060286591644,1.377212789620935,1.3598238345940556,1.3239174578298913,1.2975947608925293,1.3984396889153476,1.3599688263707028,1.3791425548040934,1.3677383789034654,1.444319074620994,1.5073270268055166,1.5322196099757135,1.4943619902656817,1.5583918145324984,1.6094891013112922,1.531439885396982,1.5615410311055977,1.6559171993330275,1.6656436719407377,1.6169236377129548,1.7196762075032017,1.8964980124552004,1.8002274864166643,1.750599701934251,1.9431769059271191,2.0934819488744636,2.019019593846534,1.978089487214061,2.5696396912717785,2.5944700196319266,2.0887072133692124,1.3889832058005978,1.4071921972652421,1.1777130648238174,1.2071514956421387,1.1977012255737995,1.364316190365578,1.3471335187604043,1.6364925822960306,1.3604746438123894,1.3101066678025164,1.2686247465467446,1.381795218885644,1.263571559526577,1.230704798105272,1.2412299626534116,1.227260595124761,1.1457203534912006,1.1938195151731905,1.211632649892055,1.1913111430507757,1.2374431617024075,1.201042814071202,2.305316287049412,2.063402117920302,2.8683635294654968],[1.8453336205305264,1.1463283334122771,1.2116655204972555,0.7542546883970983,1.307406880450214,1.0016518767908393,1.010771161519756,1.0371042253624858,0.9885224592057656,0.9631954652350645,0.9606976479656275,1.0368514379385645,1.0547274908565083,1.0243807238543352,1.1866024674137958,1.1148433946995788,1.1532144645714288,1.176949857237407,1.2686631785464855,1.2768191109360993,1.3304251093326593,1.385650195826457,1.5447186663824575,1.5756793891385816,1.584371221723519,1.3591552576844939,1.3310051434917025,1.2270072834793815,1.2475297465495132,1.172870385670362,1.1846687866899028,1.1339272298046723,1.1525204029763338,1.1712009120540725,1.2103413256307878,1.215004307559453,1.233746477363724,1.2541421968674513,1.2820753889989986,1.436809359929988,1.5067472621681843,1.3895284709417783,1.4461992279252087,1.6237166584347726,1.7200140147348202,1.5886560090237172,1.937593846694898,1.3887141492243,1.4104816564369005,1.7039251770088266,1.5928626627811007,2.302253181502354,2.4199535096219478,2.6881536236686503,2.770599745038173,2.4807603632022968,2.4269095662258353,2.249850585340152,2.618171335526693,2.3926239080989813,1.9595807758346075,1.5750293697070883,1.8238928309088631,1.4480042906515829,1.3558788273567495,1.5889545413664747,1.262365755512403,1.209914186834742,1.2297992811636318,1.1867332679786224,1.1684927954786453,1.235464012437723,1.1622587683412144,1.2190682944741607,1.1488638334092658,1.3995265759794777,1.2755627551281912,1.2802589777932643,1.3231612789620393,1.3580821032933312,1.2590440681745199,1.4154963896483934,1.2757234640192407,1.3980099321616761,1.3196766037916907,1.302799935759887,1.3139451232942438,1.321740965638394,1.2542847559819716,1.262554978753075,1.2021755805987269,1.2826192267461074,1.2944669495473309,1.178855898970093,1.1553166621524806,1.1324637638479786,1.164690875055281,1.137948499583529,1.076721985543804,1.1764593200490623,1.149936930755229,1.1767047720146835,1.1756095366973245,1.197689604954912,1.3551690273629065,1.1487944727338364,1.081081852128967,1.079429298078491,1.0752636399127982,1.1744469839779446,1.1099746027118595,1.1300853934410369,1.134079880941798,1.1851291355464542,1.1628758815418458,1.18875602289216,1.2313573808279976,2.207578057753855,1.2955364719729545,1.1843560304489784,1.1476154595673713,1.185691172171294,1.2086125297914163,1.0349395938975234,1.0088605275289295,1.1485328023653971,1.0966192222368891,1.1772312192661087,1.2192428208482686,1.0996464019525798,1.012264349518609,0.9631561526473856,1.0160511729916433,1.0358281977208563,1.1248281075603808,1.1725938317182905,1.221195373546404,1.324409818484391,1.1792126533979521,1.292518083970755,1.6668944348082373,1.6774378892364736,1.205227952105497,1.2209231697485246,1.2525797689630482,1.239694037949263,1.2284189384610114,1.196127197800554,1.1461127631742893,1.1240915244184162,1.1221647513528084,1.0435926859487386,1.0623578614238798,1.4178941463665804,1.2774459601858528,1.1395086840846689,1.1161049439911652,1.1464057811748,1.1292660433052295,1.1794710140899374,1.2046172395482553,1.2290747955112857,1.3544815344605055,1.3967687380488976,1.481987152822165,1.653534908109102,1.640239597576966,2.002855900026422,2.026191497017836,1.7554024120308551,1.515619682168055,1.4427878439221917,1.3160108143044522,1.2271360950781043,1.1946955055179589,1.183195685491582,1.1937514274919159,1.227957126509343,1.1981730510425697,1.2122659519131636,1.257233538982114,1.1717011479608441,1.1422305785437068,1.1800762533399956,1.2079352069605764,1.3054243866892132,1.4407670430673505,1.579203511745339,2.2794152581172598,1.5104404036598917,1.644376130540044,1.3947663115260542,1.3642427335509244,1.2341417883116066,1.0424337430139323,1.046416685269275,1.0070534665988264,1.0431405711902189,1.119468562960586,1.1267092318373486,1.1394393786602943,1.0713554061368196,1.042794210670306,1.0941704281211342,1.1053741384492481,1.0159783395616906,1.017755758056794,1.153461315709053,1.0718357179990299,0.999206430067027,1.110507458840141,1.1583256985279782,1.0374067529754925,1.1478719818295946,1.2068719946109783,1.1678983445714275,1.408719075275513,1.560003452627046,1.403063208275162,1.4299003191342614,1.5430552678400709,1.691641739474701,1.8409380290605262,1.395684301536152,1.3403327654949662,1.3034342038106062,1.3208318319542642,1.3740510372661205,1.40463805116901,1.353855758386169,1.312003243557731,1.4810885380442205,1.4676847309967054,1.2888021686240259,1.3910603356820697,1.688155688739447,1.5151666280138254,1.3754034724300574,1.2042556890732632,1.1655612279023675,1.1549276234169963,1.2042121582508694,1.1641492993934948,1.1949459174998505,1.1620405281662936,1.1289691284890775,1.1646328367139047,1.102818064780674,1.1419527478174027,1.0768509018162211,1.0713213465535616,1.0806943287911757,1.0546345030143662,1.1190875953413773,1.1119431729827955,1.1850458545304612,1.1233458123082978,1.1682560991009296,1.213146715591862,1.2157360321148216,1.1733102997961484,1.2168039613849082,1.2982706955810968,1.221967555727542,1.231341728204726,1.3320134453155439,1.3563583776367525,1.284655137584573,1.3975339232747264,1.6234623699755741,1.4777010866703788,1.4536500893990143,1.6543381521653022,1.8549999961598227,1.744242173488481,1.7196665915985414,2.295616357979026,2.4286069416217466,1.8485161682247588,1.2565992544897993,1.1972012715567644,1.062736728060497,1.149168059623415,1.1011611090406086,1.3500626457291554,1.2544270869741534,1.3653582643397804,1.201068508210329,1.089714490279963,1.2157302895371824,1.2863465869169353,1.0856347315926056,1.0468251292889392,1.0525394649548,1.0985138244534651,1.031240848709887,1.0683738025629574,1.1250019448137951,1.073105038328087,1.1760325640462181,1.0817861430968891,2.1246781154769554,1.8066972791247022,2.57516628990248],[1.5746071297586248,0.8915600109642344,1.0281923102077795,0.5269628728183242,1.1634532268561943,0.8714310971178383,0.8361623014226672,0.8511092913337535,0.808281251090504,0.7829868610976946,0.7772790426672291,0.8622753528467098,0.8680136504208246,0.8438564500439703,1.0276352792532044,0.9536310328220484,0.9916381057669288,1.022019956590712,1.1446414008950845,1.121091625335078,1.1997798936316253,1.2626368059574267,1.4478877532188539,1.4815739234500547,1.4530020412147344,1.2522971652452959,1.1929804865902365,1.0655828820509354,1.0680674421007479,0.9841558259503265,1.0307276807087211,0.9389453156506007,0.9669039706786973,0.9829734089988549,1.0110345536096408,1.0357897596781462,1.0425287078924572,1.0854814532391175,1.0950975239053358,1.247456876465229,1.3395465228976975,1.2419651445591686,1.2846696711199894,1.5065480811490262,1.660902089432123,1.5734379932235671,1.986779449831651,1.3726288218514195,1.4222959256686145,1.6893930744369634,1.5614374202757786,2.3083662186996583,2.3156827294192075,2.426016245113575,2.534911600832125,2.277135221177718,2.293432697770022,2.0617043093340723,2.3745011618616894,2.2350212355697114,1.812152078811971,1.3481511211676163,1.6066265996782456,1.283286773065158,1.1705932801216685,1.4102657940484475,1.140175666707001,1.074023664549034,1.1467370601633176,1.0910806035069516,1.1039529778185884,1.2046742013220033,1.0580600687738004,1.166890264987612,0.9960526931349859,1.2923902822703446,1.102086522506646,1.0891429665565262,1.111038692825795,1.1608643266321932,1.0631226382675565,1.2372223756955776,1.0745758428491348,1.216639284573464,1.1410662509850298,1.1003151990421727,1.1250476156139453,1.141344890226283,1.0558955272399233,1.072689965733755,1.0345768052254936,1.16622155209313,1.1883781109434706,1.0304315683792356,0.9928866859105214,0.9911764291637927,1.0206849521144419,0.9582236698901515,0.8999872153663233,1.0088037050974972,0.950683563086486,0.9950157530650535,0.9856535539605491,1.0190793812881465,1.1821641268554353,0.9836753997436471,0.9947414462452917,1.0647493484857036,1.0498365491428805,1.0566975862580898,0.9829801203519531,0.939068218734728,0.9380765017147257,0.9862243880957247,0.9711142984543036,1.0189580564695138,1.0596798270827263,1.9751909277626352,1.215692629060142,1.0361230820611982,1.0083883608348432,1.0230890317846428,1.0674800934685535,0.8672468276317149,0.8070413892405728,0.9702551566671889,0.9290784705405782,0.9658173356207668,0.9974984907269889,0.9612187545648186,0.9638475393750552,0.9151534910519467,0.903277367312329,0.9267381610958275,0.9433946653522269,1.006393539277387,0.9882291789968507,1.3277807072689596,1.0283112433492345,1.1785061016947203,1.5555051307259333,1.8641229538585844,1.157467035099184,1.0622422386067085,1.0672130878902737,1.0654028159586137,1.0518171128450775,1.0136371529532786,0.9548769942634941,0.9177278828971795,0.9450812561617492,0.8591879010349687,0.876351602133695,1.351036956395485,1.1848048786347753,0.9728499387518309,0.9436018692514084,0.9591774905124039,0.9514684063361921,1.0113925592494768,1.0098916297319585,1.0475011510965826,1.156616924171603,1.2013207532791974,1.228575268369835,1.3997179942086424,1.3523538733357257,1.7075273077058457,1.7209297071849572,1.4302515701282397,1.2031479560776046,1.1531236550949657,1.0799662735304398,1.0368477705071186,1.0154306090688596,1.0057218001875636,1.021042643868538,1.0456483753489778,1.037998601994544,1.0423108236398482,1.0631841960811836,0.9922914126811293,0.9728793463760109,1.0060875974941332,1.0246017524676525,1.1486573143110301,1.2873083760820194,1.5042497718604764,2.172689178156407,1.5583357160597995,1.5504572340904073,1.3526968766656962,1.232537236705771,1.0844586079096425,1.0006821200257368,1.1460002382971424,1.1002777525961283,1.1338638938288832,1.2180848180248378,1.2058735133941658,1.2218618118506108,1.1108938148394447,1.0575853990494768,1.1559540358187868,1.1584238342416902,1.0310468098736731,1.0632459817379554,1.2043388009602298,1.0920481606257808,0.9963472315025715,1.1112307956446699,1.1463295889430993,1.0135302759209956,1.1068779647990723,1.197073471607322,1.1912490301555094,1.3786248780411705,1.5204993353580714,1.4116663558718212,1.4325153279217528,1.5858952269152775,1.715396543095143,1.8802671444568175,1.4347193708356993,1.4013925175954913,1.376782036005679,1.3985310211453816,1.4727554932333464,1.4999591002122397,1.4475605252365282,1.4110369380443166,1.587264155463864,1.5711707840448819,1.4093111309062125,1.5340347454989953,1.8182537266050829,1.6464741193119536,1.5041735200561277,1.3233157672094782,1.2588705527513782,1.2516853260778982,1.2826362896784453,1.2252847315082183,1.243590852757033,1.204000048062307,1.169079548765986,1.2075658961466955,1.1283379009184216,1.1449501780813762,1.1011863002449933,1.077875788936125,1.075163015816655,1.0449692292272144,1.128468495963608,1.1086446654841855,1.174763139314001,1.1157282178250418,1.1728706411962404,1.220840855955394,1.238475314847445,1.2129951112340043,1.2716010211906184,1.3393983807552718,1.2612450752282494,1.2883243334942462,1.3877377407664997,1.3981654177829932,1.3561725133361335,1.4744076029010154,1.670655746909969,1.516880631488841,1.5470270688088548,1.7513797298783897,1.8950515465421494,1.7634350507900236,1.69694228755311,2.2086870136071215,2.2240829199392214,1.7662827413564919,1.2920158953933463,1.2236541935752165,1.0871672382288589,1.1811184068521914,1.180549862298631,1.4763196410477666,1.4738448003139053,1.4942136878481338,1.109197960031725,1.1244251083412715,1.0682263795771556,1.1479910071759034,1.0441846897346836,0.9920908624847674,0.964206812406446,1.0113938864678567,0.9352407055670255,0.9849590428911328,0.9596489969265588,0.9401941220931767,1.0171332056816087,0.8022853607166756,1.872791955244488,1.562671170002499,2.342969237012929],[1.4310352591301232,0.9169660451356099,0.9575421179158407,0.47869068477434956,0.9686855787055192,0.7760050708798322,0.7265817226237566,0.7308033206212597,0.726177810205161,0.6781492903228916,0.6793748045633045,0.7556737705617895,0.7083050435715884,0.7091232877609182,0.8471695034055313,0.7651035513676641,0.7713843895203822,0.7622812725541662,0.8731135261125329,0.781130435632362,0.8333723735570367,0.9383841778872855,1.0540752824880975,1.0757884658398364,1.0312292183821221,0.8775737349767117,0.8105897104315275,0.7452352978671158,0.7820030027579417,0.7331862612289213,0.8021463370993408,0.7260161152499518,0.7653354909861001,0.7418601282326603,0.7498100255775565,0.7581021665875377,0.7692332369857496,0.7901034710921861,0.7588279371611202,0.8676386756407521,1.018787348258381,0.8624291965112453,0.8764994310155519,1.0307026349971802,1.2454419168022692,1.333283846359611,1.6099075435698185,1.0361360974276248,1.4639322356801294,1.6755378132834666,1.4078312778394968,2.107910684843984,2.0259335441309365,1.8762827612836954,2.0014975789697744,1.7939676695123303,1.8788259459998555,1.5294168472486063,1.9202761550535585,1.7719118292654368,1.3984026968182979,1.0100201668062543,1.3073940379573774,0.954933659454612,0.8580265029030392,1.0413645597780519,0.8317520596845537,0.7781628226940076,0.8941673509997589,0.8735838233467778,0.9563508578715191,1.0867246188648978,0.8876755268349664,0.9617721755748398,0.7594257247360756,1.097630782754866,0.7776295515535258,0.7831753589288439,0.79037633630168,0.8078883508837085,0.7500615183918226,0.9177764734076417,0.8349363148601997,0.8672132304580056,0.8083982933872542,0.7859882053042048,0.7989207896360182,0.8853275243101644,0.7527150754008948,0.8022361741800748,0.7533551621018721,0.9233925276999272,0.9579286403435923,0.8248325016759471,0.8068324080767533,0.8489822304141632,0.8924817378467224,0.7895377662734531,0.7505673477047388,0.8857448419066373,0.7594140228775009,0.8329699365816212,0.7672916696926599,0.7926774179890702,0.9105046987653048,0.7625671010651129,0.8373260436275012,0.9601169234153976,0.9252227348823431,0.8691161563901258,0.8084057365355405,0.7298286447332953,0.7482158536581633,0.7528463120784036,0.7603203762861268,0.7694412448458984,0.7811041006687318,1.668437783937512,0.9148092671101408,0.7548065337107789,0.779101950096196,0.8112481846385945,0.854286253991909,0.7004370949718702,0.6748212525076914,0.7825669046853537,0.7585809862079573,0.7264061165528164,0.7436580885960407,0.7665933942655233,0.813566982383055,0.7774256975956906,0.7046311786557502,0.7285487711804752,0.6896870906139867,0.7703033817440501,0.7524729477649059,1.113980279408857,0.7875581218231363,0.8744464196854322,1.1826331084093566,2.0451231805788144,1.005628316439183,0.7573701226149882,0.7658684297350162,0.7790158011186378,0.7795059074891352,0.7660309640146993,0.7251671803819802,0.7331342879070242,0.7695190975564733,0.7355678208609344,0.7506376103779494,1.2999102337644333,1.1259196846163013,0.8327188347066635,0.7869356915834846,0.7710733978060899,0.7565389077397466,0.7873839155272556,0.7475555122264776,0.7624047089314437,0.8291094445406826,0.8475018169070613,0.8316213083323692,0.9899150442999667,0.9283094670750683,1.2443978247908085,1.3463813781147027,1.0766218605145914,0.8554910705420722,0.78157664724818,0.7568852039984214,0.7508013149424724,0.7336869510524745,0.7583878350374087,0.8111938736608677,0.8241431709260971,0.7632197661740326,0.7794522669082868,0.7510846206993896,0.735385975903309,0.7054440160895215,0.7574693070311181,0.7529084679903815,0.862900067663264,0.9508754961896941,1.155282450130889,1.9361467055914774,1.4489609888408095,1.3448087565457658,1.259422759464942,1.0045713014362128,0.8523551897108138,0.8914361628494248,1.050808886553834,0.9802553239871018,1.0031158108317284,1.0264438089046553,1.0462933671126804,0.9816864984099518,0.8836362189649138,0.8640285585773145,0.9171278540817764,0.8954064662343579,0.8234020519254132,0.8864905934795394,0.9367906117438298,0.8430867694378931,0.810259492603906,0.876604431663393,0.8822384594852707,0.8397062098134034,0.9164240850915127,0.9671420568516211,0.9854222028821431,1.0207116088016812,1.1296434535291213,1.0652288635760268,1.0690192467742181,1.20464631736785,1.4474233113531298,1.4927458622520409,1.2661394857284918,1.1016060139378931,1.0837893485499772,1.1508583184389423,1.158165489383494,1.1891904567549991,1.1535991882454948,1.1280251929299667,1.303732255805564,1.3316333731801362,1.14900018018238,1.2709817105296115,1.5222700671963851,1.3704727116580133,1.3616763072843578,1.099022780394838,1.060627817159051,1.035641049740849,1.02999165855152,1.001191293468149,1.0165517816283414,0.9998251444766748,0.9497376086929559,0.9511218932686212,0.9176376286011279,0.9493211098485811,0.8663798894787752,0.8540298029579138,0.91512137684835,0.84273071764704,0.8797278171898671,0.8956185996410883,1.0267979016281268,0.8779531041827471,0.8929071999790642,0.9076719691222722,0.9206118340246356,0.9276393100586681,0.9485993643904442,1.000542290311684,0.9526191418171143,0.9783755104574683,1.040704685552775,1.0617857366891907,1.051475119716183,1.144142679273345,1.3444622533368147,1.2040876447366882,1.2599602655569206,1.3965891844821292,1.5790938536421075,1.444229038275857,1.4248801650274374,1.8046571206223612,1.9531007783953716,1.4012042662661044,1.0691279180423885,0.9810456020980772,0.9053655701732101,0.9781782622534572,1.0400086586113417,1.4129812001643876,1.7361656254245441,1.4776838026896395,0.8929083123754127,0.9595457661180706,0.8782423961086644,0.9656079735266557,0.8667729627068054,0.7996290056076374,0.8215333307307455,0.8529102348676043,0.792765859457272,0.8479510590392279,0.8452294491688657,0.865409153642736,0.9525429608606955,0.7328376989415111,1.8322055729858784,1.5217158390589955,2.2176054073546565],[1.023134823147871,0.6177635372403083,0.9639268791821226,0.35592728885202485,0.6681993879891353,0.5812837907215475,0.5287532145683896,0.5303005586004881,0.5526561218528481,0.5085361790082726,0.5145345061657414,0.5785366487545813,0.5313941477490893,0.5719930898019401,0.7444687990783416,0.6196487366408379,0.6453563390065141,0.6479487725216092,0.7593789214585156,0.6907077139492603,0.7651565166141082,0.8567594112727263,1.0373641832421348,1.0512649779414696,1.0153768540439,0.834671902893711,0.752485989370962,0.643109843779956,0.6589860981077282,0.5902023796142304,0.6787479732011116,0.5844609007030835,0.6347990604327445,0.6225301336178048,0.6123025625583941,0.6261213084984548,0.6270803040490535,0.6618084290653418,0.6538463176960367,0.7812181810614186,0.9393876272452767,0.8009872925124805,0.824389123713309,1.0229260421400623,1.2954291372013205,1.3380598485306903,1.6778152431362428,1.0178941134165536,1.4079226008134045,1.5610676056836867,1.3399139936702495,2.1117905985187257,1.9985465664335007,1.793952214739902,1.8717658621516913,1.7285905626271987,1.8805263299541477,1.4548727976186107,1.8237386790088277,1.7570799255436165,1.4236285064743894,0.9939386504264915,1.198591178936252,0.8485210301919971,0.8680917406429928,0.9689374092555343,0.7750794295041608,0.6932260813943196,0.8302300001418157,0.8032785918972172,0.9119252165048057,1.0497128005361314,0.8338548571650636,0.9342170651697393,0.6713657553617934,1.0661678575911135,0.6918503689928681,0.6936120088341651,0.6963243711299517,0.7218968328215117,0.6162231661530084,0.7905667128288385,0.7596490140810173,0.7398344273740256,0.7202014600331579,0.648246031451491,0.6858324737875762,0.7467841364953494,0.641629137272793,0.6922557414215922,0.6494935813724159,0.867852419331,0.8933966607846793,0.7201727635777451,0.6970690980920282,0.7717609207672937,0.8051200123848051,0.6525060626499073,0.5954335035333057,0.7575549239261058,0.6017724198593302,0.6829694336121839,0.5865723235569779,0.6234881631987779,0.7408085628616755,0.6243745254202764,0.7394967609783442,0.8914003858483561,0.8574001792078655,0.7600347999367292,0.6596085849842137,0.5581225511180924,0.5455746998932538,0.5612163969520414,0.5966269183189636,0.6340329342466811,0.6713012576598103,1.5820166046839643,0.8990399077148706,0.664190440541233,0.7071051659435872,0.7188925729701744,0.810820767750131,0.5758935900283414,0.4864734125249287,0.6096859668302057,0.578220958260772,0.5650954134279704,0.5953444933931159,0.6429655759754733,0.7453344641529611,0.7334798511110427,0.6407902486281513,0.6290407316006296,0.5931140856020114,0.630885341783357,0.6860044746065062,0.9421493470792128,0.7292069154725824,0.7438466445602354,1.0968326147862422,2.0521141286328,0.9337337848792419,0.6377508075824361,0.632933939379936,0.6326143897390696,0.6284523659462442,0.6177971210234273,0.5411863779285977,0.5480019306208564,0.588897769201872,0.5708179226893725,0.6167838285285037,1.2655892699183182,1.0728337367084422,0.6676338225256775,0.6116486658200031,0.586622114772251,0.5638506889708282,0.5997375924973685,0.5872802251835242,0.6008564980429825,0.7003257084255595,0.741269122620652,0.7501129964657348,0.9311323832305268,0.859962938745276,1.1977101763681826,1.3032141751423572,1.0206590347255176,0.7811268977739206,0.677589013685976,0.646417042111404,0.6169956459476656,0.5796048497881902,0.5923726972711261,0.6416416170508129,0.6537835888131246,0.6211832615310235,0.6146468533518781,0.6348600037519146,0.5903222170089683,0.6027045751637593,0.6693283338734958,0.6633118660448152,0.8101197319012395,0.9105574492141351,1.163439562004384,1.9781215514592574,1.4534358494323132,1.3743159899365849,1.2817137170558253,1.0090079170013395,0.8350758563570899,0.8534596471527531,1.0167652803226008,0.9399641620534306,0.9656354008370082,0.9953568800317663,1.007393356636602,0.9450884101858599,0.823155361174485,0.8065187265517537,0.884767281358573,0.8580129236312946,0.7489984830951111,0.8541413253060995,0.9171961225424657,0.7784761967824718,0.7242681305883253,0.8441474707104549,0.8425347360501243,0.748808300875646,0.8793326861216635,0.9524558681761649,0.9650663791035531,1.0677236251960764,1.1564929861506976,1.070265785370295,1.0656806648622068,1.2339551706242284,1.4233153501777014,1.4695489747582702,1.2805796643101979,1.0933322489171917,1.0677253791848196,1.1242624689854641,1.1325356676783453,1.1908417690418758,1.1354574135336684,1.1059472409615267,1.3042359321142973,1.3461695978369284,1.1477542662629034,1.255263248000621,1.5630485443022206,1.3827782024021624,1.3507828148729257,1.0919421251705712,1.018397754899994,0.9925040649606901,0.9843763943826175,0.9392505431220929,0.9551403842311365,0.9134491544888769,0.8820378522711673,0.8892772383958412,0.8283516793007082,0.8680447444059596,0.7909589931925843,0.7650327152528269,0.8135960760010665,0.7418297378016946,0.7946945260784487,0.8091717848961061,0.9374801212868517,0.7959096325223228,0.835938131522218,0.8625209608104303,0.8753309880614059,0.873917394871157,0.9094908469741163,0.9821307360886364,0.9179878157103208,0.9563181309446387,1.0375924940442272,1.0559637987511232,1.047426246302658,1.1519867956085694,1.3864910286168906,1.207038347662001,1.2748078110530443,1.4185689666265597,1.6148089347260282,1.4617319943865776,1.4376970275070649,1.7654565240626359,1.8676708546387584,1.4582698901829632,1.155744878705639,0.9980901126144381,0.8347489365027246,0.9387520282231941,1.1828581254535373,1.5401570444765673,1.7913401230093284,1.4530252285063692,0.8454927935243086,0.9109735398461491,0.7427660532188446,0.7674529409874182,0.7645595194360454,0.6766707945350433,0.708872636953559,0.7074421985020097,0.6204656197525272,0.6960080147652847,0.6817235675613863,0.629307535214713,0.7745555015431602,0.5596442235705539,1.4032368123123478,1.1442152903529552,1.7634087093705797],[0.834469972372764,0.5995452873886329,0.8952124010968538,0.22458594493159162,0.5207375983596431,0.5418331151025281,0.48941282509198175,0.49004143353781626,0.566946908560983,0.4956932424506441,0.5168707003216794,0.5640040444205172,0.47976285468964847,0.5362919219595629,0.6755730022654072,0.5490381420948804,0.5312491043263052,0.5115353738146504,0.5776632001584915,0.5066992680715036,0.5828290055961036,0.6958227607932437,0.8236874856289632,0.8546291297289289,0.8091390081032387,0.6391506826395911,0.536543126714481,0.4747537792989456,0.5021253347152619,0.468942240859119,0.5775889760406924,0.5011158173714063,0.5611812308228091,0.5259552935265824,0.49778184559587346,0.4867937293286476,0.4897678861519705,0.47609877402325507,0.4627988378000003,0.5636371933975722,0.7866435802159254,0.5855169333744108,0.5972260031952292,0.7303973371945951,1.034001057065504,1.2027069409350568,1.4011073222185992,0.8440319609261364,1.5372789360201862,1.6234164729724572,1.3194388562985313,2.028433635483827,1.855541876309238,1.507391234422095,1.5916229414075158,1.456135175725405,1.6190983175211187,1.1646771219269996,1.619761208583902,1.4831179241862413,1.1923984813319657,0.8507920155062612,1.0842230920915668,0.7086180733459467,0.7377836225608763,0.7771697889550735,0.6499466445399044,0.5337115103432478,0.6976254619081036,0.6946750344854937,0.8739333716091718,1.0298476875413545,0.7777574131998899,0.844821871041399,0.5909234726169733,0.9704809031413822,0.5353133338831679,0.5541651248720963,0.5421478840807761,0.551302103483635,0.4649208860029717,0.616143050698952,0.7466419120165514,0.5414537586085388,0.5481156368235537,0.4621642831584274,0.5117714126643123,0.6183585439156248,0.48867008814407975,0.5860012679334311,0.5233173616680475,0.7487531906671904,0.792008428919161,0.6409876526550659,0.6326172867373174,0.726934324633498,0.7680458718090699,0.6029125097818032,0.5573591638916583,0.7301827285650564,0.5407149546717176,0.5997651341131293,0.4756437277278129,0.5094187257975379,0.5559428983712698,0.5273365501656249,0.6792214354329691,0.8509833877533997,0.7995096723380831,0.6656935362735065,0.5374401009717238,0.43916695206845524,0.43901139957737456,0.4176663234215478,0.4793350414281016,0.46858449553781295,0.5433991116503017,1.4009820558036366,0.6776088374798007,0.5187486970440514,0.5691684321208462,0.6029759659530264,0.6570467061250594,0.4719920584400783,0.4276571652000805,0.47876361039386,0.4617246650233322,0.43642006919909815,0.45804660891677285,0.5484985799435612,0.7128459047906147,0.7180078493549398,0.6146251938636514,0.566102588076711,0.5243112119345923,0.5247907281082579,0.6627542881954533,0.8337589619997159,0.9648261040234695,0.6031493444210381,1.2088400712448069,2.104441677806464,0.8816124100098887,0.5262033916809534,0.4794589462928442,0.45115958650913685,0.45279181304516375,0.4837305419690923,0.40656649908095555,0.46818477138014747,0.5068345249451659,0.5430934347425648,0.5797920799612911,1.2642076784993612,1.0686662395751538,0.6251969499795629,0.5551340412402763,0.49546400697994175,0.47248076016530866,0.46978087813635894,0.4294587642957893,0.41895647244305884,0.48272188768596525,0.5184262888630515,0.5626677384089022,0.7589008034963526,0.6801372919236556,0.9845900041911813,1.13288881072543,0.9082525657153048,0.6642338814326452,0.52718531112327,0.5053503812108301,0.46941851927093914,0.42066971911039275,0.4374239831245833,0.5130071510244447,0.5259729982862948,0.4695574017840037,0.45547696645569863,0.4685581174128578,0.4394584512491185,0.47840605262007985,0.5641770445587402,0.5637879448069129,0.687077445004143,0.7502404444269315,0.9942044689539127,1.8504549182403252,1.3686867593179872,1.2957290062185383,1.2774528893010344,0.9457826752708971,0.812458475865375,0.8928635773335296,1.0089894161658475,0.9193832525220117,0.9319867537286829,0.9072580690618589,0.9160676339896251,0.7871038146545596,0.663048403098435,0.6675500976934161,0.7078735421588669,0.6481545484426596,0.571555717901005,0.6931713663079793,0.6741015859870042,0.5673276086299611,0.5567887292939491,0.6202651479713136,0.6083513617833571,0.6309024270647958,0.690307151928282,0.7326638698809226,0.7667097113124254,0.748655827352496,0.8456779174362276,0.7754494593010608,0.7521453623905567,0.9312074252997328,1.315885844530288,1.2272811020645742,1.2462563412496106,0.8707075373731364,0.8532206475310505,0.9383242147687798,0.9263026344916339,0.9656056451140709,0.9144742360546302,0.9160701132807713,1.1468598388317728,1.2205815510240412,0.9870810215879466,1.1013722657860394,1.327893527026748,1.2150354962902186,1.2779175053603335,0.9572369458078088,0.9035881787642892,0.8675832891846011,0.8296338805942797,0.8172537023840521,0.795882037983441,0.7635963198971408,0.7216159083600695,0.6914690930573398,0.6860974008752806,0.7102082240501846,0.6045662637448616,0.6029538109989075,0.7254036463208443,0.5829233900407307,0.5904148214119493,0.6640884731387405,0.8614571732070021,0.6132422915251757,0.6081995017605386,0.5986582679098023,0.6264148786132491,0.6582430930493769,0.6768228515190216,0.713380045917607,0.6709246849834634,0.734282871748188,0.7846655970620655,0.8110464851025586,0.8326082694063005,0.9301113910210236,1.1685488207479322,1.0194406061815802,1.092890795183248,1.1832892556555596,1.3841878441706834,1.2579405683348752,1.2385279169497945,1.5446019341949306,1.7349743717670827,1.1729051607451004,0.9258908195895125,0.7764271385578447,0.6373876005881655,0.7947856323337339,1.0617453475945198,1.4081926574395063,1.8721720112657363,1.4393232678429688,0.768662252907419,0.811872672627319,0.5989529035059247,0.6452449715160409,0.5980860558653949,0.5139492580286703,0.6642210283672815,0.5586591047115789,0.5208884383801335,0.6099444842100874,0.6061784190467983,0.6796388173992859,0.7735423150235976,0.5701406534501045,1.5808465373444702,1.331135463483245,1.9114496089662392],[0.900121939972077,0.6959630564252601,1.003982559152604,0.38556685192026774,0.670843411093451,0.4992664217944175,0.47504161973382536,0.47007882824006136,0.5285394134330885,0.47871916112737584,0.4975997099680623,0.5407956174818873,0.5070922936156355,0.5445589325531963,0.7465227248535876,0.6249809425287566,0.623219337427646,0.6353793617494089,0.7268606570054582,0.6147419571216748,0.6886705512589181,0.7823037946251986,0.9297923238574999,0.9496266001655443,0.8784985685308351,0.7243180350869537,0.6277272178492391,0.5818238411758262,0.6180900521573698,0.5383692045859367,0.6865133851039922,0.5404177351181659,0.6021515656345598,0.5825247006150924,0.5615567272899539,0.5739739525672353,0.5586057291030165,0.5986469552174414,0.5514119968624119,0.6319584325361506,0.8317566111142772,0.6667648670008961,0.67363292994914,0.8381591716406804,1.1250910688364817,1.2681560556952958,1.5362224112637606,0.9115254226441074,1.4913400315710867,1.557148921655872,1.2899070862793904,2.0450806259343755,1.8629876833768513,1.5420564730758495,1.6828057833210637,1.5369367704953112,1.7054894504555334,1.294191610116529,1.6647769015484668,1.5900624618568813,1.2664965323168285,0.897782477592822,1.0464387870115892,0.8232548814171922,0.8164648422162121,0.8339192329418121,0.7382148387313966,0.6633225425627441,0.8279302891687084,0.8273718988696858,0.9258815034613941,1.0709344863500279,0.84337772329849,0.9309319468100071,0.6879738923947197,1.07889152352626,0.6512971257042472,0.6386541439597607,0.6233381388020827,0.6453803158228332,0.5454454558705681,0.670163399205246,0.7474928972846676,0.664015613645796,0.6407006719691761,0.5400412625857751,0.5832413383583069,0.6716493847588718,0.5673281193790077,0.6103186706445222,0.6184450501848489,0.8929211371826814,0.9154480089720054,0.733212224413728,0.6969108988312896,0.7779047352178226,0.8046638347037125,0.6253609047065944,0.5632485044571418,0.6667760023008942,0.532429798822022,0.6029773940203821,0.5315394772910943,0.545015595801338,0.6662198742884331,0.5379162436882491,0.6969415449759236,0.9676265397325009,0.8877221485875744,0.660810859725632,0.5628667626068388,0.4962583973833193,0.5011051600578267,0.512750305161827,0.5455943594073628,0.5687082246230872,0.6091442189166236,1.3890113734530964,0.7761894496394505,0.6233841924626765,0.6688012823323195,0.6778672885666647,0.7149323786123947,0.5356682764273721,0.4575310359857792,0.6005594422796177,0.492918130134693,0.5141756793018741,0.5739088992846765,0.7267502419399855,0.8441313484557229,0.7859739708554686,0.6985413233916588,0.6903553174013497,0.6262876826555359,0.6886884677008388,0.6377647064054195,1.0037375366478245,0.6450087247323236,0.7154697805272765,1.157478776012001,2.2710894801585932,1.024246629640435,0.6390617277723596,0.5926193118643172,0.560418507825915,0.54813446642818,0.5319592574205643,0.4870926599229032,0.48676908460450086,0.5176054945290232,0.5313306101483234,0.555223001576802,1.1932505452408275,0.9969197314571834,0.5938939659940233,0.551663350059411,0.5138179080934773,0.5188555265228213,0.5362972310986781,0.5269024303743771,0.5332896499389318,0.570393508597018,0.5994460902189855,0.5837837651998017,0.707289273959382,0.6560954668768795,0.9387624173914235,1.0800277956908835,0.8360265389093648,0.6320593964804351,0.5188380399014747,0.5486614046837498,0.5513651491830142,0.5242680105004287,0.5405081216790141,0.5966572768035702,0.5850729461737724,0.5753944594792193,0.536915258906649,0.5587057745344342,0.5244412381857015,0.5576051396556198,0.6228792003477415,0.6159569908478448,0.742899180152966,0.7961427966401102,1.0699181758336624,1.9068711241786356,1.5041460228011991,1.2959808819925953,1.4620719663953259,1.0270405090893144,0.8770922599841783,0.9974600372973007,1.1664088486613708,1.0616993533275971,1.0632344191515672,1.0234568929709682,1.0196537738804974,0.8793829930264309,0.7387549314239261,0.7129082327099407,0.7488019313373627,0.6871413050309052,0.5809469522841769,0.6545445368115999,0.6840688930151709,0.5659871969982794,0.5380729057637235,0.6196539597054033,0.6022220739208234,0.6089808122005999,0.6883096556783294,0.7398289994079378,0.7585328709294783,0.7675181096852667,0.9087066207275059,0.8220116649851746,0.799633067062506,0.9720271497983457,1.3757687829333596,1.3071011564743904,1.1913667456354484,0.907973807272758,0.9241606466327206,1.0230277820939153,1.0598317619558977,1.0457233564197161,1.0161778142377087,1.0626243066524625,1.2430266645638477,1.2510608280519364,1.1071571177754336,1.2992759338950122,1.4131806585325632,1.316937210719548,1.4109092779795704,1.050918851425794,1.042145722462103,1.0155940666850645,0.9455155049493954,0.9221745410448731,0.8763740786260155,0.8611162507513436,0.8126177972539247,0.762233462419276,0.7405528016384199,0.7422454855405705,0.6353911823154944,0.6122390029637247,0.7194566400073239,0.5868055411932855,0.5963240784515582,0.6510522138473218,0.8504790070735424,0.5964512424696368,0.5955019653057246,0.6141691989662779,0.6493636470496945,0.6936027648439878,0.7382053402988815,0.734521522975601,0.7017770408743524,0.7927056005992051,0.8293239885478337,0.8488517796398533,0.8836195053275304,0.9950624626028416,1.2120566271041486,1.0792906810775054,1.1193749438269975,1.274115587470482,1.456187860999074,1.3336736319146254,1.309981306801995,1.7241492152996034,1.858209041037152,1.2304961274399797,0.9079634744879889,0.7952397315677869,0.6419495316324794,0.7919291322869444,0.9558399752741661,1.324814583332772,1.7661096262720413,1.5456723126529293,0.7472903788684515,0.8933533656189294,0.586699926842945,0.6645187574257021,0.6067547210900329,0.5086299225326897,0.6799137275345424,0.5201317255829896,0.4703700574305985,0.5282219461968135,0.5836450765982084,0.6847647907786102,0.6879785564908867,0.6611866445534442,1.721078321900013,1.6586113858643792,2.077302001477769],[0.6823925157009274,0.7068937390726378,1.0325878691346728,0.4908300651418456,0.5357016987786447,0.3637458447609066,0.4284447290307914,0.4531633326191093,0.5230521799798399,0.5387715093635492,0.57815074017388,0.5772952005030448,0.6128877516439079,0.7037063292309674,0.9778861370391034,0.786640581306629,0.7870788646089556,0.805471963116179,0.8866524121493954,0.8198926979395873,0.9081010231042758,0.9201991703765117,1.1354701608025877,1.1408229046776748,1.046276128170271,0.9351021178107444,0.8315238488489661,0.7491186073764472,0.7752655095024212,0.698778669036146,0.8906719053158901,0.6883639462833442,0.8094483076774504,0.8004108254496713,0.7489408845407848,0.7611683220187634,0.7075848470302455,0.710531986616616,0.672887322475999,0.7472443470690809,0.9245020994924766,0.8365313786201712,0.8461994357966515,1.0828447086024937,1.41318508609217,1.514893069075839,1.8554320572867278,1.1385033111518876,1.4907506415705878,1.5106017760978265,1.338355711072234,2.198234218285167,1.9905254095956155,1.6128076266677314,1.7294567538833552,1.716086879284175,1.9326600157301885,1.4529637432470537,1.7888377492221665,1.8154269536876804,1.5267177009101827,1.1291123516580084,1.1973180524571443,0.9486041446341288,1.0384891203062585,1.060244571235487,0.9521732768279001,0.8778293074273539,1.019702460571267,1.036506337785154,1.0520198291361706,1.1939777101782953,1.0282980706345115,1.127211661166737,0.8735589770766995,1.2465366957192607,0.8908925799492644,0.8870367185811715,0.835190471774369,0.8181700036128574,0.69147299820023,0.7588107860987315,0.8327021388371798,0.6560151861132101,0.6773703785694123,0.615484728840182,0.7189806469591344,0.776367030795528,0.7538982071636999,0.8063541222107011,0.8481435039894871,1.1495050427559406,1.1649242777395186,0.9760469773461465,0.9024336055218206,0.9809983706783303,0.9790011771596232,0.8250824196342994,0.6953762115114602,0.7420579088664815,0.6394483123021512,0.6211473043421208,0.5176185834859134,0.5474365682562699,0.5923797523991866,0.5076174297310876,0.532451662660258,0.8168750417160453,0.7403224865350265,0.5647307084101751,0.3961744308050851,0.3940615519600949,0.45032563409455206,0.4611324089956822,0.6064623649677829,0.6641978922841589,0.7468221544498045,1.3416296262672418,1.0396014710776793,0.8252576640160887,0.869928187936581,0.8448602881511568,0.8708381118499867,0.6135071609310534,0.4145487394364561,0.5042176131343598,0.36514554623831286,0.42126790113625634,0.4573063509475672,0.6109337580726214,0.7523691965815342,0.6941066432743054,0.6238781800077657,0.5622575632372527,0.543797947760983,0.568220618290919,0.6342525864122177,0.7995676845268535,0.6912614607549193,0.6744297948066585,1.053972583304355,2.3232024757184067,1.025760206519107,0.6433774713003091,0.624156412725551,0.6068256721809702,0.5664999670824382,0.6006003997363442,0.4812786329895405,0.5253783672845834,0.5005531590234289,0.582760486969704,0.6057186277210798,1.2730308138366402,1.1447306125970682,0.6032063892570859,0.5776992127665508,0.5385934305514214,0.5245022024038429,0.5012063091291494,0.4992350941351898,0.5551440728777444,0.5946592858175856,0.6454335088047484,0.6171711895553597,0.7208635990850192,0.6908856949226553,0.9812518112549554,1.0969979985842193,0.8634960053923904,0.6364861966301264,0.5144671811002055,0.522201524948777,0.49642765679649553,0.48651851488333686,0.49260335565902674,0.5595222562113267,0.5500602386133868,0.5304336489260586,0.46231000228957503,0.5351336581495614,0.45742653775424674,0.5121095868006219,0.5730022423659454,0.5877026010078255,0.7736704429116973,0.868544476092495,1.1958827940390218,1.9819352755537178,1.5390925031981821,1.4134224389548382,1.5616156214543566,1.0786850436417872,0.905027775179847,1.0059747895875388,1.1747531935967246,1.052415060910689,1.038138322399534,0.9935262628694101,0.9395831832086816,0.8170612880509739,0.6416041145611905,0.6209379889797275,0.712121118431476,0.6328283669680872,0.5280414578185493,0.6507703842158384,0.6764927703638445,0.5329770329882516,0.5299590765681377,0.6312416922652061,0.6115087390392683,0.6199304801254029,0.7108415227964269,0.7732872982908764,0.7847549293753399,0.8225833099396441,0.9904958024554179,0.8734768587004759,0.834159890697241,1.0145482011369924,1.3703764210597589,1.3137610389965555,1.2424950816535145,0.9208780425331416,0.8982322436548247,0.9665850149634252,1.011479585569629,1.033871495923821,0.9953056444782514,1.0038381657789985,1.2535234487349263,1.2873072378118355,1.0981753509257042,1.2912289128614065,1.4618759134683015,1.3655885412841036,1.4122620726160333,1.0416334682978752,0.9944448727824124,0.9572884449723659,0.8767219752764398,0.8356960210233702,0.7791870968494767,0.7554765845632566,0.7105856868684354,0.6595958261077484,0.6363770203210606,0.6267541648560482,0.5417218503030479,0.5463511112733841,0.6866722264682785,0.5302357141484713,0.5461662443876183,0.6252208472417546,0.8263386605724031,0.5794564613848775,0.5771968133786473,0.5914072693687208,0.606357017178863,0.6330723122296235,0.6913954920084163,0.7225154918338159,0.6817033824558881,0.7674737054041496,0.8428745095837008,0.8788223454922794,0.8968169375557727,1.024834043798133,1.289225106276529,1.1380735374390167,1.1787029322746037,1.356031927680427,1.5676132121153046,1.435610725147094,1.4121495909307142,1.8515420778973712,1.9571008722810626,1.3661005267129143,1.051488804211888,0.8569933797110411,0.6497643055616448,0.8633022986543103,1.1226097664999903,1.5072580455262552,1.8903337187096125,1.5742359976418516,0.7460688497080941,0.8266535686941968,0.5149533298804029,0.6285571592150317,0.45357452740660525,0.4043487732860052,0.6737768291200369,0.3865921974551031,0.4565485728052507,0.4235612466266867,0.531266929855411,0.5959508216186818,0.6050381885312984,0.5550530418179245,1.5359615823419102,1.589262005502765,1.8742440012358934],[0.6999264961712539,0.7060368472078304,1.0472855030298949,0.49407494034595867,0.6182981107666286,0.41051944968943666,0.5688691695236284,0.6338377437353687,0.7146699257286256,0.8246926063233525,0.8862410384135094,0.8539206247323387,0.947274800608682,1.0457571980685454,1.3584299172224525,1.1711101782793112,1.180762163579934,1.2474787828341733,1.335575047291941,1.2601332173360429,1.356375566514095,1.3088445563689497,1.5461501960646904,1.4865561735008264,1.4185577597853478,1.3485749981819282,1.2341697326061252,1.156504421746167,1.1844946306270956,1.0845647947665744,1.3190532568124396,1.0752271628813541,1.2142922865033394,1.2209216438444728,1.1579274956208665,1.1826138053522108,1.0747390164371897,1.0878985083776924,1.0080804125645957,1.0294139794628703,1.1747479931180524,1.2064663810730543,1.2141076256040566,1.4862077030323713,1.7930220598362119,1.8747043071993184,2.2789419359572682,1.5265345483185546,1.6126729823529606,1.7285201403714485,1.5866723865500099,2.4729218597496536,2.2697397414302127,1.8933968048343852,2.0443242626182383,2.0938337813206442,2.2810903220388123,1.858382164923517,2.139610860401782,2.2320542496800018,1.9322565860918706,1.5230428740992292,1.5492563740985645,1.33697320498881,1.4445182700810453,1.4796164954641133,1.3937575395842126,1.3375792238043125,1.4695280768550016,1.4848005306911072,1.4488418346034448,1.5643576757700839,1.4464567920093652,1.531229140070832,1.3317248445469019,1.6102772710188429,1.3600533153180931,1.3499457136547317,1.2701480134320515,1.227375946947674,1.0700596445728687,1.0590988781059645,1.0472016042960013,0.8945695953902062,0.9122987191344455,0.9358625729388239,1.0776501142512072,1.1071950109427655,1.180474893899801,1.2296233818609354,1.3048880659411413,1.5963857354637556,1.6054427114579457,1.4149502288548161,1.3128778014807179,1.3613126704709149,1.3370441343565365,1.2182671575874267,1.0471876245999254,0.9976612377969896,0.9691835751967655,0.8375582100353911,0.7762266721013877,0.7315699256573817,0.7424514057372449,0.6127610812515512,0.5256857337064241,0.7946430234448626,0.701582743424006,0.5718803595119906,0.40126233842402653,0.503251673499062,0.636350036306856,0.6698747186207317,0.9129120120269704,0.9755330848688349,1.1255219076076886,1.5882139849385057,1.478618486086808,1.2640157083177301,1.2788462257620639,1.224346283687553,1.2036523819220017,0.9011924485090701,0.6343351549714674,0.5826305346146219,0.41645117924431824,0.46062925653062564,0.46141789220297336,0.6011545072231603,0.7801632184144115,0.7141487228864674,0.6634097441678126,0.558248557880527,0.576573427233233,0.575761733093294,0.661763497777981,0.7452243716656689,0.5549960871196505,0.8644071338884544,0.9923900139477703,2.3126836782269544,1.2239762977420137,0.8929954999967935,0.8921326682438743,0.9386990980138354,0.8654169952651023,0.8948206359551448,0.7347485751495599,0.7741977773814385,0.6733399046520758,0.7774979718917421,0.7554216882259178,1.3465924310525303,1.3072506220996198,0.8372175851332688,0.8451486382073092,0.7683669746391797,0.8054467056504437,0.693123870412226,0.6651733244661762,0.8400663922593749,0.8176296346308579,0.888641598780528,0.7630022799255616,0.7894344472670852,0.7824400891712483,1.0578835692128605,1.1368200583707575,0.8834428708689829,0.6862241572918986,0.59246389079213,0.6369263813391478,0.6440034730626278,0.701615558872251,0.7047421662397791,0.7974744482863462,0.7773647632257352,0.7493183557477955,0.6571928507837863,0.7045731618865583,0.5826385973875163,0.6120872093766665,0.6597180475323956,0.6907968378429801,0.9057890247990553,1.0388069651033154,1.3676624077554431,2.0301420631988094,1.6186257961324366,1.5269694642083365,1.6617262567952757,1.154516201188286,0.9822052327278944,1.1082958289180125,1.303952744424893,1.170826933784635,1.1533770269093748,1.1058551432132644,0.9865927546973575,0.9044817373660459,0.6804043610835349,0.6372681270495308,0.7886202136425101,0.6976181255512237,0.5530478013003742,0.6785187906067905,0.7430052605063597,0.5581542622446366,0.5351079771670045,0.6668546226280004,0.6378249328387187,0.6071943766939766,0.7107573027246379,0.8012135852752263,0.801443488149536,0.9001047146427616,1.1471829330992085,0.9966918260232398,0.9517829429203534,1.1518605302162577,1.4376993735100088,1.4521096389152328,1.2461658085307665,1.0326600328375273,1.0167908399188363,1.052003695506128,1.1533666750000513,1.1827309310803769,1.1343464304442663,1.1228744220291667,1.4324090027110654,1.4449854922397183,1.2620980140745368,1.4773671628048592,1.6655598581487758,1.5569205296925013,1.5632573166145989,1.1864368006597439,1.1073036347717322,1.0631517933345973,0.9589545007786641,0.8866736877744451,0.8279005895874753,0.7931453773752704,0.7458397021047112,0.6842854370999124,0.654207252025458,0.6402176440228251,0.5695486211185314,0.5516393291110713,0.6858345905195853,0.5350737944106411,0.5530619501733719,0.6119622576519331,0.8185945818537355,0.5769226289653209,0.579401637703484,0.6226606981091195,0.6610031588596615,0.6976599811249358,0.786764647853487,0.8163308362819045,0.764087994916477,0.8754605412151893,0.9828395026167368,1.0114988505230558,1.0310564790917112,1.190376390554712,1.438979096549644,1.3025861540908497,1.3478355281104066,1.5736166022446074,1.7699071749172106,1.6474834233978035,1.5943695140407446,2.1233439726317864,2.168809435702351,1.5660064611067457,1.1643547083167336,0.950253703270275,0.6823348162872743,0.8908843409908536,1.1847312969518442,1.6255561475999165,1.9642170176236096,1.7150208198986452,0.755500084329333,0.8718842008248222,0.5021862020328091,0.6706671578887052,0.4273857404110199,0.41290938645716657,0.692003339485943,0.40354322109918056,0.4968787725687262,0.45381837986250567,0.6263632905651393,0.647592451774403,0.6156496498872579,0.6199135354846681,1.6848568600987357,1.8197190756897783,2.0384304421560575],[0.872562273489477,0.9199685397266909,1.1213332535779186,0.7234992355667,0.786195765193717,0.8342024394508446,0.9272074812956671,0.9841775637953147,1.048477545684095,1.1403594494329536,1.167979467368309,1.1639793550336879,1.2249316245976125,1.2563683297093584,1.4677956815022895,1.3212691544221775,1.3046287306508768,1.3166351250836685,1.2655527236544886,1.2269228089503075,1.2172946609650903,1.2484085881067657,1.3680799160346104,1.3923413037860952,1.277140217821804,1.237183440160707,1.2323630231432492,1.1906676182938873,1.2512370941536555,1.2393196011106669,1.4022754470637546,1.2733241856285966,1.366901506155167,1.3371261035090194,1.2626166786475288,1.261243732157091,1.2273140156024591,1.2269432648230547,1.1572256326491306,1.1702900422278457,1.2971667894306174,1.2637522737173086,1.261410774927011,1.3596487813054514,1.598550993996702,1.7633298672371385,2.016351028424319,1.4735687203259116,1.871412919370554,1.764983915691889,1.6252051978877655,2.239776175972455,2.0054526140587687,1.58919044698618,1.7186718027409218,1.6810540426800515,1.9217733016108804,1.5315302681320808,1.7951586200611709,1.7876679433851081,1.6271550983662821,1.3947605943083003,1.4405240877328134,1.396514701826248,1.4130645737545402,1.3404884533923909,1.3243019374841276,1.314389634946588,1.4308598521590001,1.4624087574524507,1.5359507677254691,1.6845966106005639,1.4933140841675518,1.5843633750824622,1.3492462415105129,1.6161825524479356,1.3350296790341472,1.3628053071466644,1.2944583994266106,1.2915950735511772,1.2145781843333536,1.2032802678921326,1.280218332376824,1.1861138189782197,1.1900251697464137,1.1452165152621816,1.1898283395047677,1.2769217828122195,1.257540525617765,1.290273091464736,1.3490230934499423,1.5265071128515846,1.593506466897237,1.5052774291718387,1.4326617893446272,1.4978036332118576,1.4975565457056432,1.3873679675323611,1.2999226668809998,1.3006647145077983,1.2377241637737817,1.13194736472786,1.156972248209832,1.0635997331745808,0.9749279836509688,0.9206189326012648,0.9338764406705052,1.0937176031919627,0.9479889999666378,0.9540340614356314,0.8065344586890262,0.9025109809509707,0.9662317252363933,0.9981141822367194,1.1462535871859871,1.1342251959524914,1.2201138610495306,1.2943477780267956,1.317583188922051,1.2872042359100573,1.3124645872744505,1.3317070420159964,1.2957003977384012,1.134670109669372,1.013975544467417,0.9143482491509297,0.7638385336050117,0.8237484488248934,0.839456331772556,1.0092891947537632,0.9891828204912875,0.9357001485457596,0.9352839276881597,0.9727004266726126,0.933539719267603,0.9725214641501336,0.8354627601614006,0.9515450710139025,0.948642667275221,0.9036920018653906,1.4605647564119248,2.5563338790478527,1.323798133498684,1.111096905158188,1.0901612515412833,1.1469173005200282,1.100513351014413,1.1401119969450304,1.0475019242068913,1.1000970262203007,1.047157281003093,1.1595356421340068,1.1596625801303406,1.66292095702414,1.5686932470005428,1.185573789137859,1.1664165901396575,1.1089233428994671,1.1292443063850297,1.0040561802065358,0.9847533493051989,1.1015239684282974,1.006628447349988,1.0924250318411994,1.043931505358502,0.9489478712191596,0.9063128791045146,1.0998689127078507,1.1339906913147075,1.0034228121106619,0.8788958236633152,0.9149694730296526,0.9693253269885557,0.9955033472471697,1.0300892144899152,1.0385589786094964,1.144786767633642,1.1297237271243248,1.101645339236509,1.0273236237792238,1.0166719162063813,0.9524414749542887,0.9251407861996481,0.9301556721848236,0.9512131121106007,1.100939913728671,1.2067149870900038,1.3879569078074279,2.1383933572661937,1.7589894616933444,1.4255608102277626,1.896502021238727,1.2324866776149377,1.1143892866071776,1.246456313786096,1.3657005112364395,1.2200751570697914,1.1952265461896234,1.0756822539961435,1.045710060832969,0.87629615275337,0.7648234409299929,0.7379243959302739,0.7331448977417865,0.6674096733622542,0.654259346542586,0.7031078586125322,0.6866703922796421,0.6884096913665371,0.7281517614379324,0.724202833882578,0.7521039664169062,0.9105075435031759,0.9407873881748261,0.9429663663594644,0.9411027850732446,0.8651845364263484,0.9775870003881725,0.8491443566354593,0.8189009172751329,0.9527613057347474,1.4159883864258065,1.2789219582997544,1.2925732306733246,0.888304713857914,0.9151060098549044,1.0135344527924968,1.060571729257837,1.019340411348999,0.9982566827087975,1.0583558909658248,1.2690169098935968,1.2826027661747408,1.134152028188136,1.398440662938925,1.45127806061458,1.3684458341799852,1.496984712780014,1.0722255875606772,1.1255038102888701,1.0846321637962018,0.9879954842845298,1.034916768541565,0.9624835411799677,1.037751412821789,0.913079618725414,0.8416489626014501,0.9382575387853813,0.9069744638317216,0.7192298913242043,0.8025338246072483,0.9550825779764972,0.8081665035595419,0.8097114909910411,0.9001750456879343,1.0805175107019829,0.8359625178194483,0.7955953976395577,0.7273643682308778,0.6987920287589064,0.7014460689975133,0.7367177771374391,0.7236194784498847,0.7057769449990388,0.7580337526986768,0.7902726928330012,0.8298682231663208,0.8643237227380274,0.9787873756261305,1.2135619833542337,1.0883377172539643,1.1367671811695428,1.3047185034761817,1.5164487592319245,1.3907862372551816,1.3813041012908631,1.8643965873774027,1.9983595774612444,1.3525974236759306,1.083547431693427,0.8808042555777993,0.7640985648742036,0.9985216307737096,1.130211520619931,1.4556640694489182,1.8568481749062355,1.5617456521394475,0.8161578578774563,0.9092571029633798,0.7198512336846222,0.868670049342112,0.7390952317164715,0.7565157380068699,1.0956884225977852,0.7635768755641013,0.8293629011551125,0.838161570954785,0.9969498158157796,0.9824518935105543,0.8976667006695317,0.9980959716656319,1.8768301489072905,2.1626297082996673,2.3974210268581517],[0.7605920260736753,0.7895964760311792,1.104038031829393,0.5825918464413424,0.6832865240455567,0.49095875221769575,0.5778435003790456,0.6142758746148924,0.6593609529388526,0.6623304909138624,0.6841299575700008,0.6797532970091429,0.7179856251776968,0.7810997721603049,1.050263441867459,0.8623092727255588,0.8334429673247633,0.807558798362095,0.8350434317497931,0.7818845082481993,0.8296501089818852,0.8463797748833659,1.0230815038868235,1.032582789572917,0.9582826924653325,0.8499423898355872,0.7801307077958066,0.7361267987105891,0.7950791093381084,0.7573691299962789,0.9258098739750129,0.7691054620922824,0.8792900109820126,0.8448086565393453,0.7982173174064804,0.7854220126032756,0.7591562357589261,0.7057727937909555,0.6606390970298484,0.7281532066868691,0.888718348886674,0.7804805443124736,0.7858592680445169,0.9937588369427314,1.299762328781867,1.4028092624921749,1.6748718929908035,1.0399516949179608,1.4942194585334454,1.4710318414272998,1.2794543930424547,2.1289463469894425,1.929138697272365,1.5377465437960849,1.6915093535205998,1.6558107342644743,1.8562993159089993,1.3965696678842945,1.7752186884736445,1.7254102841409105,1.4490744470007018,1.074883932001357,1.1958205695945334,0.8771784847933387,0.9549835875622971,1.0144986589762512,0.8773787750865675,0.8401478914981826,0.9577246892325678,1.0037074798098482,0.9951929775888135,1.1241842512981284,0.9731385683522099,1.04200822283176,0.8502463386911152,1.211064199222462,0.8576369632286998,0.8758669073404277,0.8317293509057053,0.804863226227464,0.6976640780020323,0.7600699664982463,0.8686334813239014,0.6654835832172513,0.6878076134616088,0.6345732288170028,0.7144153005562605,0.8023751904179253,0.7573015165430418,0.8310829350693603,0.8567993779935882,1.1440025643114529,1.1732161381526556,1.0148498347543977,0.960657299763914,1.0258337233072357,1.0407083379075905,0.9245406208381018,0.8153063591350949,0.8463939074112942,0.7577951896483014,0.7233244527384787,0.6027219185905294,0.6357956972720824,0.650974032335151,0.5722945910806968,0.5105551567024087,0.741514017725731,0.6445696860922575,0.5883759244630934,0.4144717054491808,0.4628355735572047,0.5757221752992132,0.5417256867474706,0.7038227573316236,0.7216107141165103,0.7660004854793263,1.353363481140007,0.9398381568184537,0.8066192514180547,0.8463653987476116,0.9003492328063578,0.9220633457426755,0.7101333714325833,0.5406616006127888,0.5442429105490574,0.42001199720521626,0.4482768976600653,0.448875058474908,0.5774563181852792,0.686482615708895,0.6214960779992029,0.5762109997102349,0.5239574313313802,0.513568282441867,0.5279523377538354,0.6325516393668181,0.6927471473695822,0.8048985180865112,0.6244511505872652,1.1405419455635326,2.2946737901976832,0.976381340648937,0.6148124375436577,0.5938011799688048,0.6163192750378035,0.5938283835619811,0.6762041126868141,0.5789656621277209,0.659860708179963,0.6304374657102654,0.72844286246742,0.7194620244620673,1.3119040106543878,1.2279365056838332,0.7321944125621066,0.7108852024369732,0.6696434928214666,0.6289985006809301,0.5854700472265861,0.5336174134737419,0.6014640911320305,0.601933294922265,0.6386390352817164,0.6000495754915602,0.6788593777514111,0.6563908558692678,0.9161877468614893,1.0496576421734671,0.8751113383547399,0.631266017968946,0.5027712686528298,0.5135127970617287,0.5052564196523058,0.5206378282668368,0.5460981933909457,0.6059239550231512,0.5942681469682319,0.5563782900274542,0.49244857691312044,0.5464585211400341,0.48770878991300187,0.5185619720669861,0.570297750490063,0.5853981297217412,0.7697557857097136,0.853839377536196,1.1560673513405142,1.9455813613302617,1.4861374500772015,1.3988648443488718,1.5682970674442356,1.0423531211736714,0.8910797234221959,0.976380951567117,1.1001856102754382,0.9770719112324879,0.9691493973727818,0.9039844149394456,0.8453988348982856,0.7127737061588698,0.567944069952518,0.5406305982865504,0.6049503103593648,0.528129911944856,0.4962903505134846,0.5774418076888533,0.5675238324037895,0.5253228363976576,0.5719359163191914,0.5933265791000828,0.5930810326196327,0.7147957687429691,0.7678328600477018,0.763781026834898,0.7851142036551064,0.7312952505662803,0.8796993186197981,0.7533508316497765,0.706632563510577,0.8407034444868913,1.3612799905808068,1.1900143451663177,1.2470311706938613,0.8117401047520131,0.7876317482422587,0.8692637936930615,0.9195435841247486,0.8857123318868008,0.8679968071075089,0.8986542909007469,1.1243917408898605,1.1516704612286006,0.9822459780476026,1.2265044097155926,1.2960036981889198,1.2281058824739188,1.351584261184124,0.9296082235009365,0.9202883589857999,0.8803417772831201,0.8023237020171554,0.8052249486577245,0.7583382724673323,0.761800647822375,0.6722389307057575,0.635168252167317,0.6642065466850412,0.6312351270118777,0.5309924137405562,0.5915613864153455,0.7373145311672014,0.5886118022180051,0.5960342753429572,0.6832023576219964,0.9037644346142484,0.6498404473139664,0.6175990845516618,0.5649513387499698,0.5515711690440793,0.5748357566463479,0.6149657861371572,0.6029477886184613,0.5820187412062345,0.6505206400246265,0.6930784059757462,0.7408962275345992,0.7623785151601306,0.8813434943161323,1.1200625891708298,1.0096990312449643,1.0404273074541583,1.197161743256349,1.4355276071869314,1.3104822423353644,1.3110501180369032,1.7673983211219966,1.9380935242821562,1.261091575206092,0.9660621882595564,0.7900305348980541,0.6396519128898432,0.8684404539552233,1.0299003321227935,1.370541611726755,1.7944359661947036,1.5104661578758904,0.6829696455911537,0.7326716261396258,0.5057399075986281,0.7542416529730781,0.4228465969645757,0.4653852671795913,0.741499715397286,0.47085103450995586,0.6158204157138217,0.5178316033554893,0.6820839001027991,0.8050417677588836,0.6744590766977856,0.7629561269656089,1.8539715007955413,2.0567247929144514,2.2495191691525602],[0.7716048362941487,0.7469986441455932,1.15177134270723,0.5768492495095352,0.6934583732849519,0.4883822757134111,0.6207212303829241,0.7011422391751415,0.779215827605679,0.8472023384240838,0.8946353505623703,0.8697150463328963,0.9616244796758611,1.0356198991155552,1.3539431180914228,1.1762694419896549,1.1913170670343747,1.2375274355981376,1.2911653892120154,1.2177344733479374,1.2777047626056595,1.2138353839234397,1.45293960237566,1.3800492550813968,1.3471095858593531,1.2788593083165032,1.1922483410114881,1.1458659563221878,1.1828515328686657,1.0832517649875189,1.2954840672462498,1.0754520532823726,1.1881539617865267,1.1994477078472439,1.1379069297109692,1.154159702990984,1.0620542684221177,1.0489467754010897,0.9667186840393629,0.9864282711822221,1.1024287183796913,1.1404851565466418,1.1373867726939288,1.383012821703495,1.6059945604382924,1.6636839234973408,2.0134898863410116,1.3632624863176281,1.5568840491249933,1.619780487947704,1.4970720343446495,2.4003308343466667,2.206698555310906,1.8742584790551713,2.0443978078881697,2.0403286419356252,2.2007027076072636,1.8325337967980555,2.12967120632373,2.1473924487389557,1.8401631086293364,1.4429491670614656,1.5078027260968003,1.254414504255236,1.3241899154928691,1.415409295134398,1.3008500482554606,1.2833220594759673,1.406643313699376,1.4322975184831923,1.383868073774664,1.5012781315397659,1.3805379672066518,1.4389385582591792,1.2800313977067976,1.5369378858962452,1.2995989306862696,1.2933339386145282,1.2210145531607741,1.176681968234598,1.0214525336372695,1.0175249872422634,1.0156280825488437,0.8988740282362606,0.8875789224522355,0.9094354213902106,1.034332228227185,1.0790152757821792,1.134478770951508,1.1957483313956083,1.2659656986743124,1.5241031647668917,1.5544308281003147,1.3749047471755067,1.2929929114357948,1.3228078100831568,1.3249537026444207,1.219847114857905,1.0612329691133588,0.9966630205727466,0.984334804604524,0.8522034633162829,0.8075387860219388,0.7499354055151705,0.7652141642306232,0.6547662033139674,0.6051233348136882,0.8803958377801007,0.763025613979806,0.5869438465119605,0.4460330575382605,0.5666393974402391,0.6966889777150395,0.7325035306958947,0.9618989394651284,1.0305427801807585,1.1721542113655397,1.7325477113515109,1.39627533784585,1.255797492603349,1.2575606088768925,1.2574835733747307,1.231642962393377,0.936309732744347,0.705750777078355,0.6248704637738882,0.46367240490002504,0.5116387438984253,0.5521342762052747,0.6972825081683196,0.8862161678900736,0.8003813068128767,0.7495983945281285,0.633632289440545,0.6547745482274933,0.6382114439737128,0.7263620960548527,0.7512766621331929,0.4296601091664552,0.8355383132202477,0.9508478336076495,2.291567185253855,1.2242388785994025,0.9086953731664964,0.8697321941904438,0.9337276729171314,0.8781664478134295,0.9171936509832385,0.7720091308657341,0.8192917856492749,0.7247593619653818,0.8205770401645641,0.7883383748883087,1.2813184099624375,1.2723561388888092,0.8636929786278217,0.8844625338215304,0.8001695120083585,0.8380502580114291,0.7216765087972552,0.6897209129628424,0.8331281217233525,0.790381809237168,0.8510947679601485,0.710533656089701,0.7261706032167309,0.7401038877720711,1.016588672089005,1.1181023543846904,0.8928797420356295,0.7034868641616387,0.5849351456725554,0.6184636033533182,0.6390636668008447,0.6951902795799869,0.702262606064192,0.8029098817131172,0.7762940058598835,0.7442331829253392,0.6534313156833645,0.6870274641109909,0.6020420995276148,0.6288992481590777,0.6649753310154809,0.687026938038729,0.8705506325181788,0.9998090570602677,1.3080854688114083,1.9904945352101977,1.624359177807542,1.4577910128045621,1.7333866024777904,1.1718256148941304,1.0433393273536515,1.2009197018161673,1.4069962809336258,1.2756360767149164,1.2717304676567882,1.1805497835900813,1.0692084530307853,0.9727161908134381,0.7458983892248553,0.6768620125119077,0.8180743956083699,0.7253796345408119,0.5804493110865397,0.6539616652175413,0.7324165234321305,0.5818049277700371,0.5661815877163565,0.6683867683578693,0.6389839112030583,0.6411610776101643,0.7351557273583514,0.7843573423372777,0.7604221943500019,0.8785344971901715,1.121115247524794,0.9796978893968243,0.9222985460578819,1.1092493240432106,1.4669989961741257,1.4557429275443556,1.2834916695449723,1.0652156800737949,1.067070940756195,1.0931674265530593,1.2278046921602683,1.216688391677306,1.179396444905728,1.1915998064566737,1.474371999442577,1.4563552130127793,1.3246830892233827,1.5736737859466021,1.6584253100531297,1.5731073612510662,1.643988598936212,1.2360772526392059,1.21640930535461,1.1602314298186598,1.034727012655771,0.9816227239309767,0.9148281455543904,0.8712719454187797,0.8223233187169738,0.7379206901263661,0.7039759397570561,0.6691061175148618,0.6074365230154167,0.575802618125146,0.6903405962982324,0.5569350105345672,0.5742903256252893,0.6101673633063803,0.8247472130742302,0.5875048725362016,0.589276273699777,0.6375513142698293,0.6845728429786652,0.7350281582735738,0.8501502246740861,0.8156031998232859,0.7680773233063262,0.9107019332675904,0.9925705225265138,1.0066384554765646,1.0444032822772906,1.201702586943858,1.3973947177329333,1.3120957445155106,1.329119497773994,1.5563885620052276,1.7480747731982333,1.6405645698284432,1.6080814973589486,2.1594390592447295,2.2416645483291777,1.545900494514636,1.09565987498512,0.9429873240712989,0.6839936831094563,0.8561697011057212,1.106740991163463,1.5273329149769321,1.92184946507765,1.8076820343407076,0.7570999475055991,0.9269842883527156,0.4903418846846093,0.68577836702808,0.44952552802923323,0.44176303544047857,0.7118539869617595,0.4472489413567434,0.5497647300846221,0.48834543055523455,0.7256442238292456,0.7369096718051693,0.6209355343409506,0.8003348464923052,1.9932648117387635,2.2734348012084973,2.4443925722434914],[0.7429139559706565,0.7780251353932063,1.1471854056446587,0.6019283971498705,0.7454373281490954,0.6504859610419624,0.8033125750448108,0.9218952613213894,0.9933642702175335,1.1039134142179947,1.1817638914227817,1.1694736622958173,1.2270870228414787,1.2999115600564612,1.6186981475407525,1.436220007369229,1.4138623157516836,1.4441097332656323,1.4351472470587334,1.3508729398903483,1.3573836857629857,1.2887463657379188,1.4348317966222972,1.3625398762643368,1.2836038144737627,1.3030351731898226,1.276257487797373,1.28113993660334,1.3552203659911857,1.3085984408435218,1.5570727613223956,1.3442341681942864,1.4961230713646916,1.4723690129438014,1.3769693915682248,1.3672243811199938,1.2785675611102263,1.2095079355851355,1.096809116783259,1.0715032182465332,1.1624611572924297,1.2055538697911286,1.1818579516778163,1.4535285583184747,1.7151847903197366,1.8794269949776772,2.1647121716743722,1.5246536558699777,1.7515415661828615,1.7476973055016118,1.642366470527199,2.5488312763527894,2.318818387074976,1.8391517280030512,1.980210519630874,2.082689771913921,2.2746265113210744,1.8270398758167725,2.132775980869675,2.2076911655889777,1.911946311429715,1.5430690437668328,1.5764630358850458,1.3363732317165817,1.4259482954863727,1.5063869888210921,1.4157966524145755,1.4570320897052191,1.5709695756152477,1.6640717104768648,1.5793863668147905,1.6672117231648609,1.5883756332154046,1.6094244309420958,1.4807119361702115,1.7066067680789119,1.4703961455146162,1.4973522388662006,1.4000839465013155,1.3142288291307131,1.2080293079593494,1.1604053192365353,1.2003520002214219,1.004481501457107,0.988986079496368,1.0580912294782094,1.1822683659611304,1.256499768341037,1.3161174099704391,1.4134789253969786,1.5011909213656671,1.7551050266477004,1.8195953099982578,1.674966230772242,1.5769802548054197,1.606818564248695,1.609389865704276,1.525862714286479,1.3733831048322238,1.308179891354258,1.256196078280771,1.1050929230546291,1.0241872350714554,0.9827466408623521,0.9546299408277676,0.8531460628044034,0.7455166567682131,0.9087962635138365,0.7664314027371776,0.6962084006933179,0.5891350009603383,0.7249820702203658,0.8674298189521369,0.8532698827515883,1.134967948648772,1.1330894539518341,1.3107525814186591,1.4930598387699268,1.5131767086378223,1.436805721159421,1.4660325366373117,1.4521300322027804,1.3345422922342838,1.0671663511461094,0.8416552037472899,0.7165984979704826,0.560603496305398,0.6207181757662802,0.657738865727829,0.7960935262063572,0.8921995335974594,0.8136707156659204,0.8121288103573953,0.7166234557297805,0.7548016061222335,0.7321709395155197,0.7516756069954922,0.702205199448996,0.5420621772411278,0.8549398407552393,0.908760013939609,2.465849250150672,1.2651703321825187,0.980029448988362,0.9867097483865758,1.0976547395928913,1.0261295224408178,1.1101494845777824,0.9749488957007395,1.0431052473721754,0.9551932055166891,1.0992812943420271,1.0473474893849846,1.5343272363195708,1.5339647882124667,1.1512762832005945,1.1593356119416045,1.0597032237837158,1.0846380796295985,0.9357365795107515,0.8603065779772133,1.0167285613261587,0.8738619957497791,0.8997812444574591,0.7927968940769646,0.8201622659652357,0.8640757203248874,1.174519467147271,1.2280039372600835,1.0735645672709175,0.8485002630040105,0.7331127002895894,0.7211787365679624,0.7678593152458271,0.8522122953110848,0.8950531427070483,1.0019164895785744,0.9658188107316836,0.9073328534098434,0.8284522125444348,0.7933727141488579,0.7799658411234937,0.7657101905084716,0.7861403202834666,0.8065696973014017,0.9640011981806258,1.061054674185105,1.3771373832255676,2.044167270641874,1.7089549396253803,1.5050613977545997,1.9248162330855276,1.2750943544131688,1.1537957431991925,1.2698223242000823,1.4244007557814313,1.2552344025289486,1.2465215688876603,1.113082387843818,1.0214751488116236,0.8899460679409945,0.6992069537895649,0.6461721939845851,0.7233664844364242,0.6308248962175266,0.55705143043325,0.6112664251577279,0.6343063883538399,0.5666904124689258,0.5964836589842116,0.615807890260283,0.6037377364554408,0.741036723146522,0.7777875587617793,0.7599906001912783,0.7541596667035233,0.7638515024593094,0.9912381335114258,0.8509882085793262,0.7816022577808676,0.9530855160593086,1.418760370699093,1.3090527727454406,1.2766511237151283,0.9415701071808917,0.9418613184040532,0.9909402438180396,1.1306986533637016,1.0887213953885073,1.0636125662868987,1.1084039733517157,1.3712335363029158,1.3491142418059239,1.235919394410637,1.5397471033342869,1.5755830238803998,1.4858227443479815,1.6061137681219182,1.144888185794015,1.1640098558868521,1.1016862104135894,0.9588879338123221,0.9541866409162125,0.8923012725567956,0.9064912074783649,0.8074439489087502,0.7344834924776297,0.7793812333530113,0.7221447537319884,0.6162618211735066,0.6704894507377238,0.8123469702074384,0.6515531399222265,0.6458297848396197,0.7496372748450527,0.9558337696055894,0.6803857307567273,0.645926254799992,0.5845798473285657,0.6066101552731722,0.6580309956927413,0.7411547570390238,0.6810743236788849,0.650046962788551,0.7764096033333131,0.8449892823334563,0.8677004527087668,0.9195752732346065,1.0769653598796611,1.26858380454769,1.1938320283333312,1.2215782906700674,1.4482378128742803,1.6538522158743894,1.5434732854965034,1.5127766715333237,2.0633699197057247,2.155087841475826,1.4309306598553315,1.0249583389148502,0.8592829315156286,0.6552898934961616,0.8564200862423584,1.0625380510366422,1.4678523037966633,1.8708484046545277,1.7117935752069346,0.7427845499103458,0.8736500376205644,0.5273956740447342,0.7647450303674754,0.5421334307229259,0.5940285834691138,0.8690929228762426,0.6315751110273337,0.7281811293164115,0.6922463609542113,0.8745929325421005,0.9260970012069258,0.7658948294288466,0.9790457235845612,2.0863208222558844,2.54118483770823,2.6607238428734643],[0.7931379296189579,0.7931861037812837,1.1661172136163738,0.6423985748481662,0.7656010520859368,0.6828869182358025,0.7765339113587495,0.856689402086423,0.8952266463982005,0.9310915445874054,0.9528570712641197,0.9449824714659464,0.9656393980041015,1.026134507275084,1.2879107077043281,1.0931431441849657,1.0296995797053887,0.9598859567197495,0.8955147634260328,0.846044403879432,0.8316109985660675,0.8168392277848677,0.9513980914422431,0.9464839044781564,0.8900942015502097,0.8152850640624232,0.7796213380159825,0.8023982918141311,0.9257268362345267,0.9363747219853197,1.1296521244212872,0.9869565733207392,1.1200702957267157,1.0451069662632808,0.9798971966919486,0.9415043613992319,0.9180681006332108,0.789983802875316,0.7166665089038319,0.7444715678902325,0.8929655058682692,0.7671262384826747,0.7664454532274314,0.9382021769793327,1.2689271938866005,1.4256889425362842,1.614052960616825,1.0455184917604008,1.5970008055345635,1.4930773662918666,1.2976681689244218,2.1389621412706603,1.9131302579730571,1.4713734529300395,1.581379804351269,1.6066434494913548,1.8339252044106542,1.324734375198415,1.727514696451416,1.6788763419479011,1.4414814369292652,1.110984394628729,1.2729891106884672,0.8936351147759913,0.9578530414159384,1.0600233747323735,0.9151876490267535,0.9397324919066281,1.0329095679467117,1.1446573981276293,1.1070184105822232,1.2089402285960589,1.1015710889916859,1.114853240375023,0.9910355576943399,1.2941771857680304,0.9718047701381148,1.0212580929623334,0.9486728267780112,0.8849529551590382,0.8146735404598174,0.8200987053071593,0.9803257544465753,0.71021635750853,0.7167745086876011,0.7220270957618672,0.7914844985451698,0.914961900995176,0.885136869640248,0.9912249671575416,1.0317276227075012,1.3012536437385027,1.3632481799824547,1.2364255657081753,1.1873822023431408,1.2356168660398255,1.2613772952255522,1.189644088968988,1.0948617069161202,1.0980655462995133,0.9970173172563433,0.9429345178073256,0.7822959596751595,0.8231782214264954,0.8012328798159768,0.7250993959157895,0.6296940610881043,0.7952678852065285,0.6949470357170752,0.6725371359257855,0.5685970717875048,0.6236669655704022,0.7689467549320013,0.6713888849979981,0.8922630226674709,0.8290506767019722,0.8559863511101397,1.2610651063967069,0.9429609556515602,0.9169678460098897,0.966829635380538,1.0967653959636288,1.0792743737129205,0.8979169597323434,0.7337988338187507,0.6500822947784259,0.561653766679796,0.5730158645179466,0.5831921109086324,0.6745123112235855,0.7317036364058551,0.6573223600092358,0.6249422822291347,0.5769976790146777,0.5817314864574447,0.5854942127539933,0.6417323280467411,0.6604164376124084,0.9106916609309216,0.6096635215185997,1.5952662151294223,2.2908514599845686,0.9436909585282096,0.6411569013380704,0.6265540046589742,0.7156421783489253,0.6926495157120812,0.840774632479819,0.7726494200256365,0.8911745048717937,0.8577305635595607,0.9924954746429705,0.943891809109195,1.4889886112327135,1.4145005171655602,0.9900618629096372,0.9719498000197855,0.9097118547549393,0.8525932611063662,0.7744700207500006,0.6557747069117773,0.7307022646161138,0.6128935914196136,0.6408197570542415,0.6156407879234613,0.6757141838605198,0.6444131698400001,0.8933395858114341,0.9936587259263149,0.9122301732772435,0.6635238026405634,0.5715822905375032,0.5464811858616193,0.5575337792079439,0.6117720780675326,0.6824868266071904,0.7527331234680208,0.7306958772324508,0.6467135138812926,0.6069303237872055,0.5816026710965071,0.5997789852977808,0.5813656743695996,0.6189042067330721,0.611902349959892,0.7808306670193361,0.8460390032065483,1.1438601495658354,1.9467256160356736,1.488312224465322,1.3813910690828903,1.6953483606956927,1.0501246360192256,0.9228085976354647,1.0139651118060418,1.117687890930471,0.9925436571484145,1.0028902894944864,0.9106363836451342,0.877389974781356,0.7351164530059698,0.6174272213306474,0.6011419246206268,0.6250254827304693,0.5700660955604246,0.5851132201022182,0.6462926710044911,0.6074203045184215,0.6305772464763897,0.6898072178836867,0.6661807185219843,0.6793058120330583,0.856567791823588,0.8769480375006351,0.8156469947521433,0.8342537924405159,0.7745948792753997,0.8866476339183305,0.7666377169490922,0.7118150380103768,0.8043947256188917,1.45553707667514,1.1440516656003346,1.3589113987329815,0.7955315768753515,0.7620466701742027,0.8368429644828893,0.9131822229550067,0.8350702547557944,0.8326831257886605,0.9146983825303734,1.067613406894433,1.0752948136918485,0.9616705496327415,1.2810246448882767,1.2298165024463976,1.1900066346840819,1.3909848582759798,0.9106448222679275,0.946735677441456,0.898488198746379,0.8068102494554542,0.8420801593351156,0.8156529635577998,0.8539323886615467,0.7272075474930767,0.7171972139334507,0.8130141032759003,0.729610032012304,0.6414088089798676,0.7480176072671633,0.8820096346884846,0.7481345447736016,0.7469616594290088,0.8715742954621277,1.0583123098175522,0.8154165379654533,0.7750995294666891,0.6531401694490301,0.6224864022847338,0.6206132873756186,0.6461855665294344,0.6092465486610333,0.595342050508267,0.636472251490919,0.6763833216854359,0.7205387986199777,0.7510992055567124,0.8569334785073738,1.0508687041331435,0.9846526763253723,0.987718264549041,1.1503759796875601,1.3957456197704639,1.2993886357143418,1.332417147106446,1.7894781095123307,1.9974144361828008,1.261547871983356,0.998420426276061,0.8513283534803918,0.7321739623520368,0.9666053311997052,1.0806587446168963,1.3743551580323288,1.781471698396438,1.5126498413661038,0.7695858893620762,0.770239995836055,0.5579119047275697,0.8134222320502985,0.5801846824943452,0.6529618528838325,0.8734719541376601,0.6844054852031382,0.8018477909761136,0.7415869125117951,0.8503407190229102,0.9949896432009491,0.8113734879390847,1.0140019264497608,2.0724435023316037,2.5348993736632277,2.6335127983868096],[0.9065460116991382,0.9159316206233259,1.3204679345071415,0.8163846209084673,0.9382057362809497,0.7885305503803272,0.9135664016217115,1.0262760367495107,1.0758885348346157,1.0975078391481283,1.1128661440759702,1.0922745622724057,1.1708191380928856,1.2017741285420573,1.4869012483342656,1.3457239560141607,1.3519845795533914,1.3298531594626133,1.2749419967987383,1.228866024270546,1.2069639556693226,1.1123328289515644,1.3390682745137796,1.233795238581511,1.2955969640614395,1.2054627067832682,1.1829103770057656,1.2189257773930202,1.3044745842831205,1.238258240296572,1.3888461516914687,1.2461144490077578,1.321280002156945,1.2926838187826182,1.2494378206545809,1.2329809816343424,1.19204744184508,1.101610626332598,1.0105035150038253,0.9967851103670399,1.0903276142698648,1.106485029240434,1.1009818227513388,1.1966049362537814,1.385220261060101,1.3897787430641122,1.6707631501732094,1.070528398830097,1.4289930021855104,1.4634457289019784,1.2200078974510686,2.092746618792841,1.9565928344624788,1.7023921160843583,2.00389858079441,1.8769742016975255,1.949281984299729,1.7563757310594643,2.1296475641887027,1.9071955043376019,1.6521255040520508,1.361132619712614,1.5130482932298712,1.1975890737053543,1.2328659047235253,1.359061556652416,1.2532864866532045,1.2959625317040258,1.3741399716325395,1.4372087845921355,1.400194011961858,1.5043572432610262,1.3907645657811267,1.369637202019465,1.3319502630687545,1.505419524198035,1.3052356442053856,1.307667496095041,1.24752100848607,1.203069484348129,1.080423814291896,1.048296770543178,1.1001513522259605,0.9521340728569099,0.939934921525245,0.9905270923571456,1.0804158064791833,1.1709840813902035,1.1880702509002785,1.273935708438581,1.3060524024648534,1.5224499048852278,1.566485603215279,1.4495305661378661,1.4095167707207665,1.4120295582987685,1.433705692850175,1.3899677655321754,1.280560246198722,1.2277794006597,1.2087437084059751,1.1048007801754296,1.025004436146828,0.9757940878916553,0.9396149729848418,0.8670604222703953,0.7720543496403971,0.925070992175541,0.8097213293786736,0.7541185246507249,0.7041848369716517,0.8298902820866894,0.9969674896971027,1.016131747327214,1.2160494787211076,1.276413938362267,1.3331910132653235,1.9745172286378623,1.2635525583965825,1.3192612150381833,1.3048209467781589,1.3866141639882588,1.3170761473661865,1.1349556022577147,0.9823620703387752,0.86845904712104,0.744311392538489,0.7163767430605995,0.7369319354019604,0.7942717731269777,0.90765206525599,0.8120559700834435,0.7829104271006246,0.6964586700795837,0.7267502565250564,0.7247772919830352,0.7675064136297949,0.6373920378984947,0.45989877455657935,0.871742004192581,1.0731558555226257,2.322307905262806,1.247582400445843,0.9835584628256054,0.9206361618441533,1.0399578619192558,1.0389119531939794,1.1303637883586164,1.0303095767316721,1.098511157346483,1.0234529606989722,1.1034294841721624,1.053070721232945,1.4071129327980871,1.4244361105854166,1.1213019371608686,1.145050748372259,1.0712908882540086,1.0727585633802768,0.9465790726093022,0.8620448339544458,0.9732754114578039,0.8863340063610287,0.888399803927639,0.7213488186654584,0.7718697195619694,0.7812614201717674,1.0256159249481773,1.1370585243308136,1.0467414154046066,0.8038718616037209,0.6894342208654602,0.6894985554679546,0.7292160334507465,0.8114499964029389,0.8521098402399271,0.9729162340319879,0.9132088681087817,0.8303216971206198,0.7579729724624855,0.7514693866508393,0.7389667953969645,0.6979167002340596,0.7293344286663801,0.7424510124366339,0.9147133087220405,1.0083591351428594,1.2555768928301454,1.94071449128955,1.546143538023683,1.4574835656079783,1.694928788738536,1.1458680965666643,1.053674437083104,1.1747893045851625,1.3268322938682162,1.1996440570688593,1.2408407853835548,1.1343736770166273,1.0750639389244003,0.9743388204114405,0.8187923563329426,0.7718425192094828,0.8619144466577152,0.8013439843932368,0.7705165470606585,0.8107057006313644,0.8298965875966194,0.7885591505370488,0.8271219654430663,0.852359361512691,0.828098808737414,0.8921364340914572,0.9433998033904817,0.9300019192396187,0.916657954740508,0.9556579942269128,1.1049083001504953,0.9827659993231936,0.9088726537177712,1.0413161752179554,1.525679562751733,1.323560959976597,1.387607599087979,1.0374875592870147,1.0121451182748709,1.0357787397939273,1.1409257922188942,1.1138186064079107,1.0991802987860448,1.1258745717371683,1.3329829202644012,1.3096018588011313,1.2167291067115056,1.5443330125999473,1.4912411660167182,1.4090345692605217,1.5831552226654315,1.1497849778332114,1.1882443302991024,1.1359973950871067,1.0276297153326495,1.0279098536122082,0.9887750340358288,0.9746105744046286,0.9137440848493729,0.8867345050489887,0.8916131040238907,0.8436241158837452,0.7865456359448604,0.8276142713231069,0.9469113937856005,0.8305148087998058,0.8148645982203009,0.8862619730233754,1.0324080973536058,0.8397487939140907,0.8250068129007632,0.7875017876132447,0.8078033372619832,0.838301103439364,0.9018030497987716,0.8499878168711861,0.8185427245848257,0.9077224676820698,0.9693582195450623,0.9818024824689329,1.009292475530942,1.134298232259075,1.2703696080745437,1.2485535475681364,1.2169631708650748,1.4277152756565392,1.6401836437966548,1.5592615780428376,1.5365578009231753,2.011537884375148,2.1699637949194237,1.4655057480240599,1.1136397200764705,1.037656601761684,0.8778394799446045,1.0102220110516744,1.1155561618108634,1.4207780658384237,1.7733587207202275,1.7433842430488244,0.8335031193712746,0.942933228166126,0.671769690609489,0.9200089962245743,0.6821165704464056,0.7320690532897909,0.9333694810382531,0.7988516308083028,0.903354745553009,0.8185411444119471,1.0147298703967502,1.0618121955222763,0.9301983824181216,1.1681014321291,2.3724917072606146,2.884722867598203,2.9528122591067425],[0.933340869946376,0.9170839805464158,1.306470574559961,0.7533479161883224,1.0244843793498806,0.7691921570192136,0.9099001160239488,1.0467283327753383,1.0352974432217124,1.0887197336030658,1.1416545446396968,1.1496500348496503,1.2260170229089873,1.2215283925191,1.5543567709444106,1.4403001281598897,1.4513674161489403,1.4795318204866532,1.4848680880190188,1.4198013057484595,1.4189567389601887,1.3443341312938255,1.5055924753819627,1.402569620232147,1.4061263756798437,1.3999327890000635,1.395209402485832,1.422436083203469,1.4515521859678293,1.376924918793659,1.5501457885561698,1.3885093784500677,1.480611497469326,1.4814750747350882,1.4229221935267087,1.4185955021034864,1.3822238540539704,1.3534419460062153,1.2365063789351585,1.1931313332424072,1.25404122397783,1.2974262108687131,1.2673323814255686,1.5154617121217848,1.6244878572125951,1.7423601866343674,2.0195468133016177,1.490590043678011,1.7780578542114802,1.7420220640831316,1.6823926742287814,2.6232185250726427,2.4152316092784654,2.0010421148382194,2.181660243115695,2.1952145574541584,2.3262618072283012,1.9890692575577331,2.255718900666362,2.2593094098877917,1.929388070401974,1.6255399632968788,1.5820613563050085,1.3741969396398794,1.501277124613677,1.5409195449272124,1.4486116795831283,1.4912523224353782,1.5739811300814999,1.6247729751778535,1.544435942734685,1.6792324549489304,1.5599823008642066,1.5853980642039571,1.5041771244776212,1.7190063315329442,1.5082163344189048,1.512500114139391,1.4428261846480654,1.3823309139490756,1.2815419200606062,1.258481058320685,1.3119613607482004,1.1626287705639873,1.1183164421064307,1.198189685097755,1.2847149713527426,1.3260434215404813,1.3747568122056992,1.4498015785360518,1.5072896545569021,1.7305036760093901,1.7771702202787238,1.6284444330568517,1.5346604453939998,1.5308049581518453,1.527521174275392,1.4868152168390323,1.3717118320619783,1.3159737125590012,1.3148026568453153,1.2164205535243013,1.1752422224798371,1.1660126505842343,1.1842187768726382,1.1215226768858015,1.0384156678535559,1.1157915454518237,0.9806406343912218,0.9287448724601071,0.8647475641401992,0.9854839392187964,1.060060430624864,1.0936016875986097,1.240190385936977,1.2818944708565232,1.4444007472632414,1.7702077139849801,1.5108161757421472,1.46756143541867,1.4225747872411643,1.4114081562453646,1.2554831153584016,1.0925433318552062,0.9370009614324816,0.951753452495795,0.8322490538726569,0.8997125756108769,0.9546456321707164,1.0395368686443363,1.0866879887294958,1.0264839737374376,1.0258121990172862,0.9541723508420726,0.9929374079977502,0.9722625611760256,0.9969199011059918,0.889541076534485,0.9114878689410133,1.1984892159883855,0.9721011079864295,2.4929211154516446,1.4884023313710992,1.238395490762939,1.1943542014754727,1.2768689625481071,1.2253960992326087,1.2690875219888658,1.177567064743067,1.1691712517706974,1.1109535058061828,1.167066616540019,1.1237729638157354,1.483412262119988,1.4765528002238397,1.2133529953798265,1.2362190554067922,1.1939255626120264,1.2138314368297665,1.1363140674474386,1.1129535426695976,1.1977035274274006,1.1129682293499994,1.0992700696607296,0.9616784398614006,0.9503255297898657,1.0242367297438606,1.251595423749556,1.3510619726382267,1.2506603503243818,1.0620746224225701,0.9676417528729263,0.9530174744191473,1.0023920625417126,1.0618885260897772,1.0785540778736835,1.1323507214180333,1.1079144339589,1.0733624246203541,1.0248722755981527,1.0129038802799168,1.041790209900233,1.0131083636003566,0.9974925488546147,1.0137348660683803,1.0944994447282221,1.1723201671711412,1.4408777166682543,2.037430878444213,1.7613443835804068,1.5760887569978588,2.035299719472051,1.4227623226918795,1.3168192580354634,1.396535190307083,1.5135091029547765,1.376076536360451,1.406063241874537,1.272668941219577,1.2088247397140526,1.1155116116253365,0.9703441527416294,0.9124010022680948,0.9727637512222408,0.911454735648603,0.8571986953363726,0.8506101382004372,0.8828596622826834,0.8410236433692956,0.8334371934348802,0.8478160968529348,0.8333300093320477,0.8960989717736116,0.9158724993664726,0.8966273049138965,0.9145846791996581,0.9289664015725717,1.1123506109638612,1.007870367299279,0.9560206472859742,1.127280861805868,1.4944220371802706,1.4737457692890052,1.4916245048138577,1.2081309715406783,1.1896403331200536,1.2052887237615078,1.3282372756350964,1.2912151875098556,1.2788881026016259,1.308589986449669,1.5196556568511348,1.4729831442367527,1.393945329511588,1.7226611013701612,1.7033276213972623,1.594922268074962,1.7307861252512378,1.3021753194883685,1.3779847725565582,1.3159136662209714,1.1869860340966034,1.1907674284226832,1.1422807580787995,1.1467456055451462,1.067865673084376,1.0061584328629747,1.0336865720813637,0.9783869292537469,0.9038475881403943,0.9189631865300419,1.0146622126797773,0.8830844196489188,0.8788020072682107,0.9291954690348532,1.0497318502070756,0.8763610480072497,0.8682002971939538,0.8358612186292276,0.8903159878586409,0.9485156235230839,1.0371711065599538,0.9433998730187225,0.9038502568158642,1.032310993249824,1.089767688433582,1.0819591150685137,1.12607972818924,1.266165994269617,1.3517459695397687,1.3153223343355882,1.3520288732817816,1.59964094554992,1.7232835161682862,1.6225669191780367,1.561480928383702,2.0893064921163846,2.1697719014476102,1.4853853972433997,1.0999476050584518,1.024246673445301,0.8525796631899495,0.9770907308928121,1.0874685499507746,1.4185524833225462,1.7408492043574895,1.7561506024474904,0.8854877354632195,1.0530507761904349,0.8221729157381917,1.0201526690839589,0.8056849913839,0.8308585744842792,1.000822949175692,0.8640344017788241,0.9282956922619446,0.8463980030223053,1.0166872874429034,1.0718481278068208,0.8879840811874641,1.1253448597494382,2.2982385298349883,2.832222843026095,2.9336654235801634],[0.8941444668959354,0.9086522855224751,1.2948996400649844,0.8248565857549912,0.8332345544190214,0.914483044742825,1.0043845227323693,1.1378870218563393,1.215583050529978,1.2859273776937594,1.3780535632454372,1.3554114157818615,1.3510585323548336,1.432791023325812,1.7317715429473974,1.586644919483794,1.5696555465134596,1.5709468272520537,1.5110057931560053,1.4010648537559307,1.3512347987475952,1.2476519585323735,1.3789383571924476,1.2652518040228427,1.2741534350704111,1.3124947525035602,1.32098141861326,1.3806969416519825,1.4672019706307595,1.4403990557578603,1.6787485867208838,1.5061793850393639,1.6196458530852358,1.5732408790113148,1.4806964644527836,1.45740844977135,1.3938573909914573,1.3333207467320822,1.176352305680906,1.1259375060580503,1.1992023753758683,1.2408132008073403,1.2192162362381889,1.4730996104975314,1.7360234681800693,1.92683496403764,2.172308969646652,1.552549815146852,1.8272260118110213,1.7793088484342663,1.6710581439817886,2.5359588685387062,2.2772219011369,1.76574576289084,1.8939267953677363,2.0327207782193413,2.2430061558177568,1.7911610437340106,2.079398786094563,2.145826242218494,1.8723867271709504,1.5316759054324343,1.565611317527547,1.3018758003063702,1.4383451032236476,1.4933682127938401,1.4222746627480625,1.5300820660690713,1.6332147140062125,1.7917673172642605,1.70995164917133,1.797150074974479,1.7006664543975527,1.611188209885673,1.5842871801741238,1.7811394081179253,1.5111135424295763,1.5450354527129937,1.4457816769573804,1.3690766085161399,1.2837618226268226,1.2398935132604232,1.3182685417918687,1.134144474387096,1.0887172400267908,1.1596131022518574,1.243162951055296,1.3172807491694845,1.3802410148197188,1.4864790899338218,1.5743765539997823,1.8203296101459616,1.9013450154606986,1.782401617934969,1.7038819991030238,1.7331331626437054,1.7542135856561798,1.6639550994244312,1.531283199843097,1.471688210686774,1.422522102163545,1.2609738013045961,1.2022807559604298,1.1279333181733402,1.10230947694276,1.0089348751284244,0.961725909104131,1.1071770645460204,0.9774814560015337,0.8897127001483377,0.8443316507460438,0.9215672248000342,1.034103206845524,0.9931646530652727,1.2414037391422894,1.2023403550263445,1.4279813334600884,1.4247575157420145,1.5966884716095777,1.5822556044507905,1.6098128658022164,1.5565226154686784,1.318491493322617,1.158194550273773,1.0408781713774538,0.8949079755725113,0.8120849544544928,0.8593355617475747,0.924284435459715,1.0521389338026537,1.0669765715621173,0.9895737038155392,1.0014791944562926,0.9177425423633078,0.9715667930483289,0.9314240332805238,0.9633566497086359,0.890920615237789,0.8782887101218665,0.9326129527202761,1.1764255516901498,2.230687062385127,1.2869440335397224,1.0344948681471868,1.0619776505022007,1.2222838162778804,1.1555428934486065,1.2510661228578017,1.1373265460530686,1.2039556624023768,1.1341531997335528,1.2902030882539124,1.222019100436588,1.5938040356456855,1.6625253066178274,1.326401241175155,1.3257951021035346,1.2227442457810829,1.259855895266647,1.082473538855741,1.0171643821864775,1.1439339535888193,0.9840106480090404,1.0132809538801155,1.0232911392152761,1.0959935652294888,1.083755529625595,1.352010475439395,1.3351394511319707,1.2807721050243308,1.0638753547644912,0.9972828118810105,0.9278954699886265,0.9470493541220388,1.019828908115741,1.0615019657565292,1.1546418347425866,1.1223002223583767,1.0442265995971116,0.9938444983432693,0.9632560646970414,0.9450302813950529,0.9428452575078601,0.9623041382902675,0.9665825089600802,1.0597966753428993,1.1297537693901931,1.4285933552311023,2.1566712289241434,1.7726952473033695,1.5527207775631895,2.181561835463051,1.4135762704319415,1.2907331750277213,1.3739637358703103,1.4862266662877799,1.3410102191910613,1.3821941752577394,1.2279530237717944,1.1727196104245756,1.0532833439537173,0.9207664543508315,0.8633635097384562,0.9046369702196959,0.8515710848314194,0.8166560001048653,0.8177208862566524,0.8393665636919957,0.8153913939253454,0.8537601549859385,0.8492632496106178,0.8306854005966766,0.9452336563775994,0.9642584833639923,0.9180126542919781,0.8572721220021255,0.9536991727195858,1.0874735540480234,0.9843034777669798,0.9137100781793683,1.0525935848976549,1.581916561015383,1.3462320805026842,1.3904123596299443,1.0790931633825658,1.0886284244605369,1.1372443851060126,1.2592274976441142,1.2013459544722613,1.1794185033225277,1.2267545618063866,1.473175708048296,1.4276585360336234,1.335965018147539,1.722399616448316,1.6230324788415214,1.5006788187429576,1.68770742354574,1.2384224225301284,1.2993747241481672,1.2606691908256242,1.1485800460841902,1.1419075982241431,1.0986883863844412,1.0539821577012733,1.0365220897281517,0.9970820545981913,1.0027624952651109,0.9519552752225139,0.8751816733095293,0.9306423703553051,1.0535977407456807,0.9063820952260189,0.8848360926842648,0.9724495059576067,1.1243060781448804,0.8916874611356876,0.8589133134898683,0.7974871228339416,0.8370018168394937,0.8962688462606591,0.9327873356801352,0.8635427757761509,0.8331652645119287,0.9569876054180629,0.9821682721890831,0.9889727134288053,1.037662469140872,1.1667737055640452,1.3008365150543442,1.269291042415028,1.2605381702343803,1.4703634683553959,1.645604521662445,1.5675057601362083,1.5561323343289026,2.053425799210578,2.2091724414179206,1.4755148866048737,1.1210201174270775,1.018766275273657,0.8826769842568867,1.0029823444868737,1.1617354414775687,1.487911712225311,1.853531022116035,1.7892926505113167,0.9080117299328435,1.0213382853012267,0.7658112839493467,0.8523973721204962,0.8048576319323416,0.8492639641071319,1.1379508507766953,0.8915982721713664,0.9296559815525207,0.9866411175978975,1.058232080209487,1.0478512403115312,1.013393477474627,1.204807035849882,2.1383816483927243,2.8543403687982978,2.867940981942494],[1.8270899006709442,1.7087181487521093,1.8305981843619674,1.6483688417130238,1.4789749168031854,1.7368562159173266,1.7458085739678797,1.7868554899753215,1.9963101150357265,1.9797375961075758,2.050763286950928,1.9212754791443376,1.7449978497301992,1.9568485674814151,1.825588525443294,1.6046056375768087,1.5352351963833453,1.330302035423682,1.2258550758107094,1.2709607903225224,1.2726787324655704,1.3631809069362721,1.627342824258797,1.702157717474477,1.75107781813033,1.5084630644102837,1.456040789025698,1.3011688373175458,1.3152629155937454,1.3831297586665572,1.4691261928923327,1.4673441848699853,1.5175856195786193,1.3643043257960448,1.3165976452461003,1.2640745410482386,1.3085719162559337,1.3298402162067162,1.3863836373381326,1.5260074559285564,1.7146146758158527,1.5081358989323013,1.6124996628236312,1.6304628464233903,1.951294014588691,2.041921004209719,2.2895743817044067,1.8222850658673055,2.14176286570378,2.0375232359989672,1.8291145562626474,2.1930114106996728,1.8329064690464874,1.7192184012927627,1.6678905792262664,1.5762985866890666,1.7729528704675992,1.5046732943465986,1.6280159245801251,1.5569587428659049,1.5212535284206021,1.3672053268121431,1.303251715729639,1.3851492895477817,1.4904389600170185,1.2992297973158176,1.2569624828936268,1.221608072866691,1.2715992291963514,1.5160224327179235,1.503925784695801,1.5925048827690607,1.4261398286170401,1.3900193321104886,1.2940482394382904,1.5217315737870014,1.250332714873296,1.2576214061917996,1.24519378284328,1.3724843049413644,1.274747680631195,1.3232140124165428,1.3898613859947382,1.4110497255145251,1.4649439280785497,1.2980567951843454,1.2923348255420346,1.2966989497912926,1.2558823272185884,1.2766937961114475,1.277857731066647,1.4430287325659128,1.5764855191289249,1.5459864810424997,1.601111779076148,1.7304925732911711,1.9248638651138954,1.7202021209641698,1.7453158970835911,1.772094083460505,1.5412422372734154,1.506347495955698,1.3744827012702265,1.3885426867541684,1.2686875943479408,1.3027858230269023,1.2821035357314285,1.2999641133321134,1.242942398949309,1.2743907728931132,1.3157685607043814,1.2975710177244506,1.5096698670053879,1.3763284534917495,1.61197436300644,1.49978660858626,1.417571210842804,1.362913140843061,1.2699259927889663,1.337484641453911,1.6071313595197814,1.8479353640219718,1.894498796175004,1.8136239902499036,1.7531019038523497,1.3863146949434015,1.377440096386695,1.2433592323172151,1.1985539718977898,1.306615948764048,1.1466917658261964,1.1199356644248764,1.1468452611361255,1.1826732283158392,1.163271809664118,1.1339633867066345,1.0944659568736115,1.1152120701536972,1.223003240609701,1.1647509333772224,1.7372506739263938,2.2677086049840702,1.77887743284287,1.407511488455177,1.4209557904712034,1.323550973934697,1.3094568487274092,1.4181746820651027,1.3932860315156101,1.599889772313521,1.5678955158945869,1.8055486045543154,1.7165252418261905,2.118961800248659,2.05702853233324,1.7040057372972863,1.6739328769096016,1.5530545435245706,1.469135573093618,1.3625935512849083,1.290533217613694,1.2758050753778232,1.2608816873034225,1.3937621778739002,1.5461424987336496,1.449785357763458,1.3980919790706627,1.5443311208629933,1.337425407127373,1.279438018469816,1.1970242744689696,1.2347131239910234,1.2887362319981397,1.2708294742420196,1.2683693494153419,1.2891047312161807,1.3165079093240426,1.3108823350317815,1.3178273312015125,1.269295394059484,1.3356143460454541,1.2022675597311054,1.2385781484884577,1.330226552268714,1.346052239124468,1.5493925587653752,1.6361824885125213,1.7744085783900139,2.59065263825552,2.187422499651905,1.801011571988714,2.5376460067553364,1.5891952624454568,1.3821660330364136,1.3928053641074176,1.3951202821725082,1.2589204109082026,1.3053198040513132,1.1972867365998812,1.279427995905315,1.18846351951863,1.234722423011709,1.2031325917008795,1.1747081285674499,1.2164115244463176,1.3429005108641292,1.3112425362212137,1.2797767313477495,1.4278921184265256,1.5477157036822693,1.4814618914281037,1.5224117723248338,1.7200877935533179,1.7513420037755665,1.6499778950091943,1.5348467237480439,1.4825532081903454,1.310214705293243,1.2646986350917664,1.299350924920958,1.2498835019183379,1.8672379287844303,1.5163278635341966,1.5796217881249008,1.2405078978796018,1.2670607776208629,1.3301286561376968,1.3309630211379881,1.254798877478001,1.2652131811574174,1.2453534024037392,1.3612325130530587,1.3350457537887719,1.2601811043197768,1.5823242512018982,1.4218956650433212,1.3332627500091876,1.5668049591358972,1.1906977527495717,1.3504412138520403,1.3248055312256701,1.3131300026780566,1.3821510695816832,1.408195190976403,1.3997188108956813,1.3321357942200187,1.364981891483536,1.4153110693416366,1.420646003663079,1.3717539084623958,1.5091153983221692,1.6307018210415345,1.5550730350374302,1.5190827776661668,1.6699302504653042,1.8095328512635485,1.6337045042501437,1.583251582732997,1.4401083965058785,1.3699407511933681,1.3341344017874395,1.2806482065285207,1.2824459056393296,1.2851090578321693,1.2194758497320424,1.2064334157567984,1.2420092368097162,1.1834426907867486,1.1983139747430418,1.2846019775970317,1.2565296895661962,1.166728683858714,1.3345093872624296,1.5084312000640023,1.409004912141764,1.4485619632084858,1.7846899403045726,1.9289578273715045,1.4409470173135672,1.3632635567738984,1.3565650736242818,1.4573036197361913,1.4280030101810886,1.3416131196054217,1.3956890381236688,1.6801121766304639,1.6507767607156176,1.169701041844442,1.1756549347298875,1.1486941756937792,1.4191618017680914,1.371908798058585,1.476891759261185,1.6379637295222862,1.5642620262192473,1.676873542222998,1.763254772532426,1.7816945489256746,1.9140369997331197,1.8977706092987392,1.8553533736910865,2.40798578018821,3.043679358328949,3.1884570697576273],[2.2239084843521515,2.094518056832512,2.120714314153569,2.0234451979686603,1.6172235519353444,2.2773847755706753,2.3115266596190116,2.470415899155458,2.957154744301185,3.0063327196802283,3.2982200632436998,3.083446114152682,2.7152727487975183,3.2108303585126747,3.0099819594346435,2.6316406393490106,2.4108721015022487,2.2195767070261865,1.9679679793991025,1.8187219456277954,1.830559911212885,1.8938346516282243,2.1453288798465326,2.3286815924007738,2.3757664670031065,2.018095915984062,1.8855879915179667,1.7456698621034747,1.9206121742925395,2.0710849984398823,2.4976519066306095,2.3175686813338987,2.484845253700482,2.2877177305239043,2.0937752504279836,1.9868825959780272,1.8671296984084667,1.7511595082007614,1.8258724445529786,2.1289257830670882,2.4391166546586898,2.0062504663764393,2.1417820969959243,2.37094424124948,2.9038439007949637,3.0842800657299176,3.3772280991520414,2.68162994854981,2.865822906767413,2.934525809684944,2.6201015383704798,2.8080299360276575,2.4059497541506314,2.3690486105015705,2.1586773404604385,2.1713618038219247,2.4264021410719403,1.9942715165081204,2.0226779042418555,2.122812586899778,2.0834744520723665,1.8899338912368246,2.0324057068785506,1.8400884552368602,1.8827736744291572,1.9207223166249419,1.904577714335108,2.031056647725205,2.2330872740116123,2.737199309855513,2.7518679503128913,2.839977475030809,2.651752114561619,2.2989625610893727,2.2804580328027377,2.3475273212152623,1.9081356329192198,1.985295142425948,1.8840893205334723,1.8653358027209639,1.7516286585935228,1.8367378897833404,1.828102060940856,1.8929586179033056,2.0123888569954325,1.7710983059181826,1.7534879432111836,1.7799691611349258,1.8684971878671681,2.0396442798113155,2.178205470080368,2.4601591100432554,2.6412264427211714,2.673854936008045,2.782080957299998,3.1120378315419854,3.2354844079838827,2.8063843598027547,2.7930233084507154,2.726719974545159,2.3366734659428565,2.1252362488948036,1.909327624614965,1.7837021620002527,1.5856797649866614,1.5824609085045023,1.5773392680243874,1.5818069396723533,1.4891559103022824,1.584572899481911,1.5891170907986953,1.5605361732744276,1.921904964439259,1.658839444718852,2.187991518241533,1.7975722441651882,1.8694565622797834,1.6327328040443643,1.8260377884096028,2.252637974585921,2.7877837414736852,2.952649886109274,2.4923424982155664,2.3583779226296064,2.3151250493266846,1.606075339395891,1.617437941353811,1.4758290730891128,1.4252212252926835,1.5819172681394462,1.4968545793777215,1.578413252827914,1.8007369394862158,1.7139468525316108,1.7381596347916413,1.505948058271468,1.5408284798365826,1.594079482303016,1.6688346857691492,1.6425023140621007,2.407383611882282,3.0100614112195356,2.244817762401469,1.7913801489939931,1.8887331560476144,1.6530335525389452,1.5964638541138851,1.799313557195941,1.7657925982087714,2.1398563404105526,2.0427256660820556,2.520452732531656,2.4330954998515124,2.9132301974997787,2.8419149727830892,2.4907130882699366,2.4332604519754826,2.1032370136107743,2.063135392645769,1.7076357458338387,1.571360099205516,1.621879750916062,1.7098330226268974,2.002414565010629,2.4184537765263787,2.5009037758210857,2.4314225239284637,2.747906729501937,2.40594906346833,2.253804056964534,2.0250163149808635,1.8782245712335504,1.9314776332780212,1.7729645807225412,1.7008577223725405,1.6594876987288243,1.7647117829930425,1.7557192545522216,1.7790638068509472,1.745513396354364,1.9382525511840951,1.5912234600294026,1.8467655338941658,2.128165154616738,2.1568969194289775,2.414519185899957,2.437674067574238,2.727830757511091,3.5558786447076858,3.1408385525251568,2.927213562932428,3.3147840754095435,2.5523321385424214,2.2294605734471995,2.116706161473866,2.025348172420266,1.7684883903866504,1.6411233683486923,1.4754464597815773,1.4873132881000668,1.3827277316484594,1.4271778490898215,1.3937337295724888,1.3268766887362435,1.3960868189749571,1.5579195056085706,1.4463752624710022,1.4582052886289572,1.6747354597387838,1.8435743739743935,1.7591834275359617,1.8242951751692786,2.1082754107675816,2.120297057792758,1.9737053898968864,1.7554505076378697,1.797653423823455,1.5366119465705135,1.4794713154774684,1.5119279042185578,1.4248579271054878,1.910603423593971,1.6791025359327818,1.7967128386661986,1.4279175089176377,1.4410144936647726,1.4897593732979204,1.5263192908649517,1.425612917630573,1.4292954169078307,1.4788654946640607,1.6799293938942286,1.650674558200163,1.575097953114871,1.941665620513707,1.8309126623743457,1.724730351331068,1.9950936590592532,1.4693594355682311,1.5407492844493884,1.546290285792468,1.4912713161849893,1.5693578513190292,1.586142536697297,1.58095482400281,1.5319882019052542,1.5809782661083214,1.6497791169294327,1.6648153520521858,1.6260262291494643,1.83721628892457,2.0107646991307293,1.8927243001911873,1.8400695112293541,2.0675580484212777,2.2408260138599285,1.988735008000833,1.9152814947582544,1.7019608005737374,1.5957240936240198,1.5338265033317975,1.4248886474123807,1.4324631712525544,1.4413181354206486,1.3541881523628547,1.3399508450091517,1.3847391294021054,1.31068344103248,1.3304508346883785,1.4751540671427135,1.4235701626906228,1.4051397507264705,1.5033910719872783,1.6081358308776599,1.5621023171600763,1.6250661663379733,1.9981563468322572,2.2143926872041386,1.7126543431084158,1.6124958862277274,1.5407787245791542,1.733788207823949,1.7323641064509343,1.5959318784285044,1.5969760266192605,1.8769063416005947,1.776340065456994,1.3726872414599136,1.3538219244716294,1.291721274316089,1.5750542730679307,1.6496315973278244,1.7971342439641378,2.0692991036803514,1.915720078207088,2.0631259839063074,2.3680362564709005,2.313484102043414,2.360256652557839,2.625369689991598,2.6008152798500968,2.647582892008632,3.00637534946406,3.295790007721149],[3.210000109602861,3.1081584080522835,3.0323874386310825,3.0135708686376828,2.4902479609359416,3.1975838265697067,3.1270157603781477,3.2571313217636484,3.7544835210227654,3.7329053658531053,4.054591397688989,3.858534095418176,3.402494565012406,3.8894225508986255,3.7201922093432676,3.3307145318727405,3.0297801351956055,3.0188920920915723,2.967963041594578,2.7666227274490587,3.0059396431419745,3.0852586311738817,3.3416307921665807,3.453877117015302,3.213712879185848,2.9082010439156702,2.5759358212136374,2.354441210187633,2.6379659726372013,2.7720133306703376,3.3154571543793416,3.0907884414774416,3.315098924051816,3.1906096202296945,2.962154672619073,2.8493191837972884,2.6472804555824894,2.5893890917801667,2.439107438186349,2.725955995212589,2.987395505215997,2.846616471093563,3.00520900735042,3.067845774074601,3.5191333346990277,3.71110956777104,3.8950023966626435,3.426681004321016,3.54505402302471,3.548982931449616,3.432429616838991,3.6336375055666332,3.3160558825014723,3.2140743291375955,2.9083052160330523,3.010384322576814,3.375586184466426,2.910055435174475,2.964845875708578,3.230333549370452,3.18115827804256,3.179415382938709,3.070511045689204,3.256551955546636,3.190345710574264,3.0385453430030736,3.144046975774531,3.1029157842580637,3.3142907083816686,3.6083385278608917,3.6952481568044804,3.8533741869994658,3.6376420948369823,3.415136551329248,3.334900692578447,3.4617980174162817,3.0689383384265088,3.0898696363999636,2.968195377775554,2.9085626558932893,2.680032404365025,2.6658377220992233,2.590263292501241,2.479384310579451,2.513249254492787,2.4545790346056857,2.593507731850984,2.6469075420666544,2.853004976666084,3.001776674733326,3.1525728142203597,3.4146580808512486,3.4963581393390513,3.534335598479662,3.5845866857600033,3.890586762793245,4.0272162120754995,3.5651638656094784,3.5478287278381337,3.505481863959273,3.0889226235653697,2.86931768947429,2.6090245437133164,2.413605506825618,2.107434151342221,2.064938483356179,2.054966829605942,2.0574839789961348,2.084584275194963,2.129755727282137,2.308829185914209,2.1820309085694602,2.6388638968168316,2.2764633002390178,2.765243152824285,2.252982551702256,2.271970889788771,1.905090121852047,2.6591954058805074,2.91101776429253,3.238098549591169,3.426198472546895,2.8821658090827644,2.94724121427851,3.0539137991771246,2.23699040321537,2.400722190630854,2.061189182472012,1.9709551054599759,1.9886856923075968,1.822155389868094,1.865248198787739,1.9379622677047441,1.9372239749165605,1.8714373849663326,1.7388358780067559,1.8073181756994985,1.786661987938375,1.8480662715577523,1.6587575190053698,2.1852786868493017,3.1711481081933797,2.4509820830681397,1.9557508144714566,2.269125289170565,2.1539523316958835,2.0080098227131287,2.357041990608524,2.3538981152151655,2.8238585681694115,2.7720466066507297,3.278986065960929,3.1922916269023447,3.6550485183767325,3.6194935932832784,3.265204913153618,3.1855349091509906,2.8133199716310338,2.7334630686346264,2.300999555787854,1.975003438466468,2.1272326660074,1.8851356464853553,2.283567731129777,2.50951673640941,2.468402734874873,2.4566394836300725,2.812768576492286,2.4361958174324707,2.2313255969221037,2.0066778335640643,1.8740078902179422,2.0406069898763497,2.019975542445343,2.0955139577357773,2.1757543467176164,2.3886713103829167,2.396284036215461,2.30412144133226,2.2292386026596978,2.19832426451715,1.9265543929021476,2.023426355562029,2.262196580937652,2.2629313581147077,2.625757951984386,2.7457973550161014,3.065857617968007,3.916305707989122,3.4050215088876996,3.0720584901752246,3.458721702414442,2.6264218407616218,2.2864309284316677,2.176114349987127,2.174970591069483,2.0149431691287254,1.9151604697352922,1.9248365982842048,2.022552874314698,2.0082443408154314,2.112421877773391,2.125676317486061,2.1377023163071693,2.217362479741984,2.4141137948837494,2.4245941042083,2.4188970590435637,2.5780194983014613,2.7848701398022015,2.752652172997455,2.8173663605239008,3.05699493280646,3.0879711941195787,3.0075438602769435,2.856521041066515,2.8092241579422605,2.582518765206614,2.4707395827989553,2.5192883629312264,2.3499441374438756,2.7879234668176665,2.450333055954493,2.3783126357232147,2.099858232331303,2.0511193104635317,2.0333244517063016,1.9771665624395736,1.9875651582470624,2.027705410722433,1.8655528365583043,2.0103399499519203,2.0966389781862413,1.9793082942777767,2.256959564820339,2.2304767359242086,2.1660907252086874,2.272611034449239,1.95425217868711,1.8831895240020184,1.8860881881790361,1.9623730499005079,2.0228305356427474,2.1200038354395025,2.1470804810948763,2.116031678297791,2.3065838152926457,2.3568796397645646,2.383493885776165,2.4122923623535355,2.631214572526288,2.8050290629168164,2.743164962232398,2.697746115269016,2.9217631541893563,3.1224913031337107,2.900937235697759,2.8344233838108233,2.6421014483065526,2.4585160772698664,2.334452622521248,2.2046136377381447,2.3465230987961165,2.3494955633366708,2.1157666483997724,2.179490778678586,2.2734354651214175,2.127038210955411,2.095161770703961,2.217657414574732,2.2167384690489444,2.0912339027237934,2.2058869997065056,2.4689602740512355,2.3930842375307666,2.4607718408836896,2.693295620849496,2.8634475565408652,2.6873372377802043,2.708455690110469,2.5834375735815005,2.7540846028357806,2.8302703573208845,2.620361575987672,2.5387700432123816,2.570319921662875,2.4518222502035862,2.214052218012427,2.0090006639433353,2.0036901471178257,2.3553235797827274,2.452835635814332,2.6205108120092215,2.820996079131949,2.74035676415875,2.9136818570059924,3.216860364365088,3.193537603805145,3.203504236786673,3.4432617132721393,3.464920260519744,3.4164805504431355,3.6126275148656752,3.889174376763553]]},{"name":"Protease-ligand interaction","means":[[83.44664097830126,80.94180072398018,78.59811702821881,76.97475163315606,74.03040730266005,77.95310506545995,76.49121153766319,78.53356796115182,80.07232623862633,78.27983752597838,81.04264506845286,82.55481876569485,78.05253925351803,78.84357537620009,80.9516262273889,79.60831687474618,75.8492612988458,77.09146501881831,75.9458258947535,75.19630207624776,76.4843913745773,76.33849792199446,77.14072901274574,74.97865605666624,72.42952985670436,72.22707556517848,70.37526443973292,70.9647177384722,74.35085068094864,76.55340800036649,81.98036670580072,81.2869656521006,85.35729196432584,86.09370795118056,82.09158174186713,78.97348213797814,77.67037731480283,73.57042458215373,70.56445887645705,71.94349867183014,68.46288317286528,72.38748773992778,74.78456699898979,72.5514383412858,72.13732890247924,70.59757149470123,73.64767375896281,74.59301587510959,71.65198427811865,73.94529412563662,77.15380641382986,77.85487082844016,80.09844687426398,77.05155741000881,79.84907988185275,82.70580162810758,80.68596041302582,79.78170677245556,83.83393622140352,84.65840185282377,81.47386204013281,84.55994820420824,85.04022273386626,85.39106230545319,81.28711943156964,80.11326207017666,80.44441098641981,80.38331347653033,80.10325132600005,81.66025560743695,81.37544224482279,84.70140931047534,85.1979621531072,84.73612830189208,84.23929210591838,88.47973215784124,84.37049776590102,87.71478195234795,84.42258173855643,82.5465503326018,80.85865140032939,77.51375335145813,77.74676352543344,75.25625377610714,71.83395912279276,74.19142889303178,75.93597675507657,79.54808369829394,79.97419333623037,85.42769107628502,85.11675404219717,89.32426179797194,88.33681562459161,87.87722364245745,84.92812901212307,87.8718163007393,85.27537156487683,85.13511722159674,83.9203898512999,86.31353337562463,82.80195999511396,81.70786960366836,79.09172554076713,77.66028314254324,75.14053458844155,73.99025897267018,74.79723327904412,72.82887626554181,73.28059240106931,74.87947668716457,74.38602306529343,72.38136698676175,74.06826725656728,71.17807390053407,73.00559217612044,70.59691685545104,70.96565904543036,69.83530733670877,72.67540733385711,74.51188637884239,74.8090874625161,75.13072734809417,72.68482353006951,72.82453031737334,73.93076097719016,70.58512791354862,72.9835414685862,70.78524395552016,70.89741014887369,70.43288987466553,69.38732693391111,70.52456133464786,68.4358859718157,70.05006145422962,67.19374351414339,67.10142358722598,67.19766339097409,66.07096193783559,66.19622093449112,65.18138785737035,65.5634395801075,63.970201697299395,65.81230094142056,65.88733821076998,66.40150408233526,69.45394948254254,69.08349639204803,72.15996454465716,72.9242867961275,75.68224136831724,77.25502623582207,80.81465772401384,83.20651382526547,87.04447757557769,86.42127713564265,83.63221231384313,80.6468729714921,78.85767088379681,77.17068367432567,74.19552478145917,69.93368342349434,70.52778029151024,65.98958725885237,67.02008067992686,64.28655728488587,62.861918268334314,64.34329549416627,64.65560691900272,65.14940722691418,64.37777231077429,64.89839725034221,64.64625503430133,65.79787147812482,68.10438680442104,70.55037069206332,73.65475520404333,75.07304271290592,77.24777770658572,73.52773105010745,73.88082452050763,69.59452978066027,70.96423827134065,70.04700665119867,69.51180124696467,67.62680194583031,68.31890035015462,68.18000815573329,69.31846915470454,67.06687590882797,67.8903426669742,66.9015810065253,67.27288970174871,66.84933571892304,66.98437213910915,68.1166126661068,69.10723506795358,68.79425874809768,70.81875203429972,71.93717659806704,72.92153496898226,75.16283996228273,76.41452866035762,74.89620877597699,75.34643375651058,77.808774633865,78.00160756560219,76.37595982255462,78.42412988030223,81.09147666500017,80.1914545532593,80.55063495965045,82.72929083073019,83.34789323871783,82.38762583007842,83.7521395295082,81.55700368496869,84.14790758893884,80.51738649662914,80.21728923995649,82.36022512691136,82.12934269096591,84.83583153267634,83.12408287282905,83.76811309433134,81.5502111155256,81.73824338206805,80.205791660078,80.32087373019748,80.12432396068729,77.49181026866648,77.32250954546271,77.61292345089622,76.2468361931115,74.78984321244194,74.44727046671026,74.4983503212832,73.8606806425319,71.60683585063875,73.32981860764274,73.64589794604869,75.53176877885262,77.68553817539225,79.0331120103328,82.12656938379384,80.71815016362183,78.41397939301625,81.83740426646717,83.01845378169291,80.23227660683743,80.6369228006982,83.85890465867742,84.21594259773464,82.48401852802381,84.51263256333453,86.73625515526983,85.79807846128202,85.12833971496887,86.57782467571089,84.32854958298282,84.03461137682619,81.89159509807803,82.32475231683284,83.17299403475887,80.41251493407088,79.48818500796288,80.36860551584591,79.91988578495274,77.16374918684875,78.33399613524061,79.10191655844072,77.11930323027376,75.45375168700662,77.24743902055037,77.81062870344076,76.60285630731141,76.51289038725038,77.49824311566613,77.93592128813309,79.5105804519174,78.60851458521633,77.9379850616427,78.58394834167224,78.14396667622083,76.22081726534036,75.50952487685373,73.93064231652941,74.35500246245702,73.2748448146348,72.21066716169112,71.81160336065794,75.5641321822004,76.8949326086196,79.54443629769804,79.4875804724692,77.48542632782883,80.55100771634747,82.54300331729445,79.82542227074161,80.73096821801573,84.35081209157228,86.1120974380805,85.86891329225642,87.3270964304836,88.58077620509026,63.53130290004239,65.54767734868683,68.54927973370572,69.02486833250819,72.63760931480961,71.70675657050084,74.81479825853181,76.82352825812292,77.34508830000377,80.35580455332406,82.48453497296485,83.44971615065202,84.56916097741338,84.06293068632748,88.21391511971319,89.02951940134436,88.26954305435368,92.36991540175772,94.5220088878295,95.9652024327699,99.0419496395977,101.52519078660097,102.38456933567026,101.2791828449298,98.308018489501,95.7010631276033,93.48665440829679,90.58177426368657,91.38460714083068,90.48588261080364,94.22095969229244,92.25459191871197,95.36236957896473,99.16224971935976,96.81345256154007,95.80952062983724,93.66562546524553,94.74922885784218,93.82072733319468,97.34981588961327,95.46293092866905,97.57125017422563,100.77859178167418,99.97923058616206,100.53956214105297,98.74687360851364,101.72104954068583,102.36598031015033,98.4830412734877,100.61286220422426,103.42494466660438,102.82811672139442,104.85168395775158,100.82548371661618,103.87957214221727,107.28387310841667,104.81246489961296,103.85824512635354,108.11492373386491,108.88016909468439,105.9758003110285,107.85182136187149,106.22708758154381,108.45050429378607,105.77616485093567,102.3927110674641,101.03478410376279,98.3036063779517,96.61128949861136,94.61026259604246,94.26118306517695,96.57009760594495,97.90687716773486,100.82471320303702,99.71931862285088,105.04226433299668,103.23172434631566,105.39038088416417,103.7568333879571,103.96879197910647,101.09888290275529,101.85121349715278,98.69559803121166,97.22996682987205,94.9307935312509,94.66334443217579,97.61936618564955,97.8721949041198,99.19120122518197,101.80607353971301,100.52235602280724,103.54005047134301,100.30235018997006,97.87356903034593,93.62851664178051,93.98348853694951,90.13461014314522,91.21086019915798,88.16437167269902,87.41841872367183,90.1394706558072,87.23930209554429,89.96547843220043,86.49190715022425,88.1780500331534,83.98464035423787,83.9995918002019,82.65020881233936,79.34073017296656,80.35908148217926,77.52712740729345,80.16994890121602,78.87127978768963,80.58074381725535,82.5690444916106,83.08849622515642,86.43277365704517,87.4224497278088,91.49694012178483,90.1016562241824,87.8347569367289,85.05369804970756,82.90196691701966,80.58564870571809,78.05187689661305,78.44821223808798,75.70816131077002,78.25144918024331,78.61317383995019,82.08275588955262,80.08192094370395,82.38196565977624,84.22341206578312,85.68143909207534,83.55163289379999,82.08132976580018,79.17344910828625,80.74558600500164,81.29889211574076,83.9373432853047,85.9425971225095,89.80545973556431,89.8946768283031,87.56391987240973,90.3047945371452,89.08022182072341,86.34462056688893,85.243041920525,83.60123309221802,81.23298927732712,80.40978777549918,79.96182680956086,81.8806927714453,80.44988768043171,83.40249020651903,84.71345360452273,84.49819669700574,83.93954595679034,86.30994330475531,84.57179028760044,85.21611468709298,88.85390508996461,87.00557280138895,90.38788050484528,89.2603728953561,87.21247837814347,87.32600987098377,87.90002931931949,84.9112897311086,83.91628107608258,83.77827538515226,84.14080467141586,86.88126501837975,88.05207033828874,89.60096149088851,90.00834449073068,90.26193351915241,93.83092937481987,93.27716120294632,92.63511523442868,91.0436018204326,87.3310488420256,89.3926654568643,90.7792200730631,89.87908410877763,93.65622404539549,94.51045498053062,96.695026240663,95.82733726884167,95.02608349419862,93.77747379910664,91.77422853345338,89.31653344016021,86.91602835565337,85.75887563986103,84.10071111678909,81.12778182538466,80.50678477417551,77.5404758884987,77.67460067510439,76.82629624119679,76.60869448439402,75.25606571383688,73.49664950675823,73.85615442614547,72.29520788702675,70.17056022424354,70.56592299027994,71.38606284465139,68.3321394421805,67.52995045542309,67.98759664346143,67.10366685344236,65.22871365520801,65.66035154944731,66.49404747265314,67.82973158733392,68.78072964281635,69.76785826370718,70.5239285097753,73.02690380536887,73.311325196335,75.60264792575468,77.58178646801761,77.91164169771683,80.42404228288947,80.45406904693704,82.59959550136232,80.39233368303216,78.13300250344746,81.00077722962652,81.76845468980372,79.0281807577553,79.35985698963674,82.09467711086857,80.28270631199742,77.93293247798478,80.10160646164873,77.2760339185879,80.61414840355052,81.33013771184714,79.65428345219505,82.04214258967413,82.71277341819525,82.86013299327733,79.90545228269629,78.98811390047672,80.45624187585045,78.31970524102945,75.65836548848809,76.23095567352041,75.34520578205714,72.63264230761618,73.9482247234519,73.96351188804395,71.07065916822795,70.68528248451162,72.55876559481185,72.19589952940304,74.74561217623449,75.8161025514656,77.24106369377266,74.61188329665433,72.70991353936404,75.5912734347938,74.80801830692263,72.7535858950719,73.91429501524588,76.10711928790913,73.89796348099327,72.40941925095443,75.04184128492871,75.81922222374037,73.90996107845565,72.6851780763279,70.8533968355738,71.5249794890923,69.92817040420343,68.96695098171426,67.87099253475482,68.33450220809844,67.14494768967582,67.39239789687582,69.01639341662418,70.28347041024904,71.79067614838394,72.24603556559993,73.02505741728407,75.40595322946423,74.94576233584235,72.51139357795492,74.98675675478502,74.44110558263081,75.66351260882499,73.21784039324076,70.7724268362923,72.1002261400789,72.6920788933586,68.16024577359693,68.58088292145281,70.52877295021283,71.69191135764164,73.65264490008882,75.4220401109373]],"stdvs":[[69.52869135224067,70.3532736658213,71.0913824355419,72.64683848023125,74.36024164392873,75.1830278649402,76.99461544913856,77.57146556528096,78.24571222957232,79.63146711978578,80.07019301083457,79.93677771439665,80.88741503073277,80.84121078145463,81.78373061896241,81.91233231082316,82.29364321396523,82.87225445297913,82.94158361944037,83.09944487128006,82.74466060078923,82.15555604349542,81.73692980494125,81.33083420594619,82.31881658219733,82.87474248337651,83.28864774692468,83.18052380476712,82.89372687315701,82.22417765161221,82.51989721900614,81.73649495066337,81.70528423081296,82.08059401803361,82.08461077947446,82.60334532133096,81.88454336556651,82.5746513813195,82.53125400578128,80.91656286756358,82.10494087223886,82.54251441229906,81.49237586763772,80.94692887381898,79.60859086591405,78.29153800891713,77.15002331340293,78.85678739085337,78.98235896227806,76.24014309259226,77.08459937191456,76.67742501962272,77.4005675515237,79.8806888950897,79.79724435250824,78.70691460727816,79.09993216019451,80.91655984067557,80.35675440239396,78.947121604388,80.34183768145019,80.58888076269578,81.74748917524259,81.2086394671584,81.20366209003988,82.33410616970403,82.60556424837053,82.89997034341846,82.69196920157228,82.55878919191282,82.15311839319071,81.76032686606612,82.37066853737683,82.46806125160249,82.76912274868818,82.65101167935396,82.50738568991562,82.125635803951,81.91085149201524,81.39070172790203,81.01293028971821,80.56293302254824,80.01863968120344,79.30482950687822,80.28900265970523,81.31032603141952,81.95365568963015,81.45560431128747,82.39792169447826,82.07591537116235,82.59075775086508,82.59544854490835,82.59118902699339,82.27125286327092,82.10602056376555,81.86493735296703,81.52659508835082,81.39877880058998,80.70235095665772,79.54547071036085,80.46631220620515,78.77631911349022,79.79597883790802,78.12033492326468,77.24413950417507,76.72505323980835,74.31133566669476,73.5505546228535,73.55988603297631,75.00667127052037,75.47143579967216,77.74002556470477,78.45819014409082,79.6355909353545,80.91240371705048,81.07944167342022,82.28539969761988,82.46806671256661,82.48783568871445,82.68153882963274,81.89880994678843,81.43445283532736,80.51826080901355,79.77176974991315,78.73788698537967,78.40430929429816,76.03540672613657,76.83787175273494,75.47850102644395,75.66906689835253,73.09834705186294,71.8976225592308,73.01854624068369,74.55114045165574,75.53003372717627,77.2852133918606,74.33097179885041,77.42989488991613,78.53388415434051,80.88270672419695,81.71364062299924,82.07965791772477,82.75122981074705,82.93779682148997,83.23986519684694,82.77230347726827,82.203749517042,81.36795994589977,80.06481438618285,79.38347421935508,77.98176097004908,78.1072786511807,77.2988285296145,77.00662801805298,78.49661253247531,78.83524711294754,79.64169392691213,78.78359350668451,80.2766814629369,78.90985393687559,79.87441438819934,81.62602375020771,81.9426473952226,81.81765375536547,80.59962504620525,79.65908458977593,77.05107379561291,75.05117171734662,73.68201714509772,75.93283866458894,76.29494006988344,79.06170638905672,79.39483755246611,79.53284236073985,80.04362110891383,79.28756596697595,80.61667023506341,79.31508764772877,79.73929697412835,78.36666980580169,78.58558705963196,77.56198697732074,75.65939721382209,74.58038977285693,76.38236198040221,77.77290841018525,80.04156225287579,77.38742621594432,77.51034458973527,75.27947746550342,73.94524698894284,74.45010557367785,72.7106058674365,72.48397634367056,71.01887227738017,68.8557423478701,70.12907216349717,68.95486776165824,68.43896843771205,70.44537413955518,67.899366229015,69.73925707093582,71.02309123811892,68.38816051311119,67.7345287006219,69.81327858137055,68.80126039826584,67.04540110822923,67.91006301406581,69.22405326550056,67.53608016126427,66.78426422413811,68.77196970520153,68.23544978130687,66.11999810020673,65.8182012005523,64.2464524341441,62.49635236439378,63.891017144239655,63.03351141855586,61.1234430558263,60.24388496611303,59.50101302799304,60.64472962660922,61.840338064532055,62.063783991370194,64.31548297219044,62.18162161353394,60.725915219817,63.727385927746866,63.82072802444248,60.685459079577164,61.66088444696734,63.883047775851296,63.076870726589696,60.721511158674154,62.34665196247897,65.47418309410037,66.10680969967612,68.1623032906194,66.61422101914168,66.6382077045916,67.65294590253431,66.89622758833664,69.42303123596828,69.13193233619486,67.75661746908408,69.4945912925787,70.84916454866512,69.15161261019382,69.09802514831213,70.22444136540751,69.6044873768482,67.66162659410428,68.3286252036659,69.32161018651483,67.25600207218375,65.96636340532099,65.49101571385997,65.15805825293664,66.19110776465283,64.11493325292528,63.42425368449575,65.46337528677601,64.51289968150034,62.44034522293765,63.2135419384269,64.42784436286732,61.39344806189432,60.312496448065026,62.73730150307767,62.60531856780969,59.32239343319427,59.16636964869527,61.02563452382937,63.20776331313724,60.13737726287224,61.9226132171803,61.47697263257162,64.74047440432585,66.07712040080744,68.50538467665383,67.63497593868888,67.47535632155275,65.7561674685011,67.23328860771785,67.10078248341286,70.81079051612006,70.98215312216935,73.47854409355735,72.47851788727723,73.04062741677004,72.34918872972933,74.44390635623627,74.038981511843,72.4084227774683,73.73021594119068,75.23674733127369,73.21648181529592,72.98856619192816,74.00950570123341,76.13994315247668,75.99124564473257,75.9210401435728,74.8015530288638,75.02610083267952,74.76333474542162,75.68959101784489,74.293107935161,77.84946326664478,77.5013297276144,77.84816315980311,79.29982298736707,78.63437489597781,79.35496740919905,79.32473768734259,77.89651039014468,78.57291337163603,78.60670316973153,77.83837270097908,76.92034986392736,76.62736507182449,75.74307066095,74.90503651314573,74.39863526625554,73.12155881227235,73.29300809914717,72.52166614709832,72.8495817442157,73.84388040068454,73.65961161606782,74.78965394960669,75.7208292422752,76.22410588312754,77.57022994840351,77.0408005658495,77.53262333108592,76.93203477114227,76.11932559596963,75.81092787359016,75.13988191578463,74.25992513921449,73.24015745877419,71.35164282654593,71.06289617321673,72.84572152141583,71.995765993198,70.75123459043674,70.0778421843526,69.192184525096,68.63595788904561,69.39237255169333,69.16521279223875,67.8754895528073,68.04107393686674,67.69796273167032,68.01710625844255,69.38760935224255,69.47631385195086,69.41529059310082,70.76061584192806,71.50455455385178,70.95056342488145,70.92934204574487,72.32143630722632,73.35078109270164,74.36827626831966,74.31727035167353,73.43991150377137,74.06814972005753,75.40684600849822,76.23360201859406,76.72868600899918,77.84978806953791,77.80156669524058,78.28280982876339,78.1942788226766,77.1165212641476,77.19603029622034,76.67437325942433,75.56613755616655,75.77383728157199,74.77775157223053,73.42874857874142,73.07778766824849,73.17468632907472,72.79016826922555,71.23010056065377,71.18717111496396,72.67778140649679,73.23391883701565,73.97695774890444,74.90234102637896,75.77543447867983,76.66905919034946,77.3103946057491,77.94119133028425,78.27247862084249,78.50749750277566,79.38257767876848,79.43330618513878,78.62964464205047,78.57838713817797,78.35393201407345,77.03847559707252,75.88463650308088,74.90150597514403,73.89046284754289,71.73811399072845,72.16872493769547,70.43305561336126,69.34607869820024,70.55649604967073,72.1456370555605,73.66743343175379,73.98663367183838,75.8931722472432,75.0966371821117,76.38868092457223,75.43712606582929,75.45697950915542,74.14182497259829,75.06073906199285,76.18994572102284,76.61244381734558,77.10177374927034,76.0600121440156,76.33666663783329,76.80536233163129,74.7024272022066,75.13697442045631,73.33680703364053,71.89215902966131,70.6511235204886,68.76586669961962,67.31179470327778,67.08622354431616,68.43351653009863,68.95675465329549,71.04502551025126,70.03133369835888,71.43013133203559,72.21858124560971,72.31563226885415,71.65465845294736,71.39637301878778,72.91128440612985,73.15720644720938,72.8392800587954,74.17420658248805,74.39046048746042,75.34549501823577,75.0553522729463,76.56333691213423,76.08834420563919,77.86817954037032,77.03023991383805,78.67971280622831,78.83226799141909,77.6475615692321,77.51363344865142,76.11706774708092,76.08988764564981,74.21244351644025,73.0985553322976,73.58159291549227,72.42628187255313,71.67985252644662,69.80587861346595,69.32358654386357,67.80923151685893,66.33642677883068,66.45493712189264,68.30344011362945,68.6965780473556,70.37159412810324,70.31564872324624,70.99395128183288,71.92434221521988,72.47341208171986,74.08216811483184,73.02126149386862,71.77872019089874,70.93818158487045,70.00527405660426,70.7571966494042,68.1813403951792,66.7277728036614,67.91831327518958,68.18298057881965,69.88805235416902,67.4785295520082,68.14187383493342,66.30345599817093,65.09185526024004,66.31149657019691,65.25104932704984,65.69652804197943,64.97187116879398,63.997817723444406,65.92377595940312,65.46060091062124,66.20098292807418,68.2930365490099,66.71154419325629,68.95800299524267,70.32494807254443,68.45007133769421,68.20465489756288,71.16549985270164,70.72930037732775,68.93540391999757,70.27052853646123,72.9742091877609,71.44504857295314,70.86749403834753,74.03271715062318,74.25513435180832,71.30637251480029,69.99740605915186,68.13921062620723,65.06730956340431,66.02144389574853,65.01765333298631,61.636150732575366,59.81606678539441,58.796194715653506,59.975611258371146,60.52008617677118,60.373171586943315,62.48755924918238,59.70192980176213,58.82216196724662,62.4047343484399,61.75354869067913,58.60389026991493,60.13504084025192,62.067658507604705,60.70086003364961,58.89037993826067,60.90403025680073,62.88545786610639,64.49486227299283,65.36419693679876,63.97179591620319,64.91540277936957,65.56966716173994,65.36718634140777,67.49468569366884,67.59501357182076,67.23492726892532,68.88329256366475,70.5514737976723,69.77448736586499,70.34885216122971,72.14946369275921,72.12258213221686,69.69367492467163,70.98927951268871,73.4474384905248,70.85996098400445,68.7014802730424,67.75805161635664,66.2526714519925,66.65710877400458,63.80676091090802,63.99600373204096,66.64074006978899,64.41525419200758,62.458797695089714,63.94071635559585,64.50287677946417,60.778949256054915,60.3596674138385,63.275560081983286,62.03830523919249,58.670130559085045,59.116240550657025,61.37910981805523,64.24426790573281,60.90552338203468,63.22364898485928,63.87691664392343,67.44830414983481,68.67146997553256,71.98226680510552,70.51313374470564,69.13112283385423,66.59949694357607,66.81638040612917,67.07165695354571,69.78232429480354,69.34414962703016,71.76771011127016,72.8997157136193,73.10606846519815,72.90358193759339,75.03416109748433,75.20686318933616,75.03737663271441,76.37580009172727,77.37684713983253,77.91591125084375,77.7210593236646,79.12916740298927,80.32348128484283,80.30273631764396,80.27470754128534]]}]}