{"data":[{"type":"contour","x":[-2.0,-1.9595959595959596,-1.9191919191919191,-1.878787878787879,-1.8383838383838385,-1.797979797979798,-1.7575757575757576,-1.7171717171717171,-1.6767676767676767,-1.6363636363636362,-1.595959595959596,-1.5555555555555556,-1.5151515151515151,-1.4747474747474747,-1.4343434343434343,-1.393939393939394,-1.3535353535353534,-1.3131313131313131,-1.2727272727272727,-1.2323232323232323,-1.191919191919192,-1.1515151515151514,-1.1111111111111112,-1.0707070707070707,-1.0303030303030303,-0.9898989898989898,-0.9494949494949494,-0.9090909090909092,-0.8686868686868687,-0.8282828282828283,-0.7878787878787878,-0.7474747474747474,-0.707070707070707,-0.6666666666666667,-0.6262626262626263,-0.5858585858585859,-0.5454545454545454,-0.505050505050505,-0.46464646464646475,-0.4242424242424243,-0.38383838383838387,-0.3434343434343434,-0.303030303030303,-0.26262626262626254,-0.22222222222222232,-0.18181818181818188,-0.14141414141414144,-0.101010101010101,-0.06060606060606055,-0.02020202020202011,0.020202020202020332,0.06060606060606055,0.10101010101010122,0.14141414141414144,0.18181818181818166,0.22222222222222232,0.26262626262626254,0.3030303030303032,0.3434343434343434,0.38383838383838365,0.4242424242424243,0.46464646464646453,0.5050505050505052,0.5454545454545454,0.5858585858585861,0.6262626262626263,0.6666666666666665,0.7070707070707072,0.7474747474747474,0.7878787878787881,0.8282828282828283,0.8686868686868685,0.9090909090909092,0.9494949494949494,0.9898989898989901,1.0303030303030303,1.0707070707070705,1.1111111111111112,1.1515151515151514,1.191919191919192,1.2323232323232323,1.272727272727273,1.3131313131313131,1.3535353535353534,1.393939393939394,1.4343434343434343,1.474747474747475,1.5151515151515151,1.5555555555555554,1.595959595959596,1.6363636363636362,1.676767676767677,1.7171717171717171,1.7575757575757578,1.797979797979798,1.8383838383838382,1.878787878787879,1.9191919191919191,1.9595959595959598,2.0],"y":[-2.0,-1.9595959595959596,-1.9191919191919191,-1.878787878787879,-1.8383838383838385,-1.797979797979798,-1.7575757575757576,-1.7171717171717171,-1.6767676767676767,-1.6363636363636362,-1.595959595959596,-1.5555555555555556,-1.5151515151515151,-1.4747474747474747,-1.4343434343434343,-1.393939393939394,-1.3535353535353534,-1.3131313131313131,-1.2727272727272727,-1.2323232323232323,-1.191919191919192,-1.1515151515151514,-1.1111111111111112,-1.0707070707070707,-1.0303030303030303,-0.9898989898989898,-0.9494949494949494,-0.9090909090909092,-0.8686868686868687,-0.8282828282828283,-0.7878787878787878,-0.7474747474747474,-0.707070707070707,-0.6666666666666667,-0.6262626262626263,-0.5858585858585859,-0.5454545454545454,-0.505050505050505,-0.46464646464646475,-0.4242424242424243,-0.38383838383838387,-0.3434343434343434,-0.303030303030303,-0.26262626262626254,-0.22222222222222232,-0.18181818181818188,-0.14141414141414144,-0.101010101010101,-0.06060606060606055,-0.02020202020202011,0.020202020202020332,0.06060606060606055,0.10101010101010122,0.14141414141414144,0.18181818181818166,0.22222222222222232,0.26262626262626254,0.3030303030303032,0.3434343434343434,0.38383838383838365,0.4242424242424243,0.46464646464646453,0.5050505050505052,0.5454545454545454,0.5858585858585861,0.6262626262626263,0.6666666666666665,0.7070707070707072,0.7474747474747474,0.7878787878787881,0.8282828282828283,0.8686868686868685,0.9090909090909092,0.9494949494949494,0.9898989898989901,1.0303030303030303,1.0707070707070705,1.1111111111111112,1.1515151515151514,1.191919191919192,1.2323232323232323,1.272727272727273,1.3131313131313131,1.3535353535353534,1.393939393939394,1.4343434343434343,1.474747474747475,1.5151515151515151,1.5555555555555554,1.595959595959596,1.6363636363636362,1.676767676767677,1.7171717171717171,1.7575757575757578,1.797979797979798,1.8383838383838382,1.878787878787879,1.9191919191919191,1.9595959595959598,2.0],"z":[[308.078125,300.17703556074656,292.52969620733825,285.12919922838455,277.96878082314885,271.0418211015485,264.3418440841548,257.86251770219326,251.5976537975431,245.5412081227375,239.68728034096378,234.03011402606307,228.56409666253063,223.28375964551554,218.18377828082095,213.25897178490388,208.50430328487545,203.91487981850065,199.48595233419846,195.21291569104187,191.0913086587579,187.11681391772723,183.2852580589849,179.59261158421972,176.03498890577447,172.608648346646,169.30999214048495,166.1355664315962,163.0820612749383,160.14631063612399,157.32529239141985,154.61612832774648,152.0160841426785,149.52256944444443,147.13313775192677,144.84548649466205,142.65745701284067,140.56703455730704,138.57234828955959,136.67167128175066,134.86342051668657,133.14615688782766,131.51858519928817,129.97955416583633,128.5280564128944,127.1632284765385,125.8843508034988,124.69084775115945,123.58228758755853,122.55838249138807,121.61898855199414,120.76410576937671,119.99387805418975,119.30859322774123,118.70868302199304,118.19472307956104,117.76743295371512,117.42767610837905,117.17645991813066,117.0149356682017,116.94439855447791,116.96628768349898,117.08218607245854,117.29382064920429,117.6030622522378,118.01192563071467,118.52256944444443,119.13729626389065,119.85855257017073,120.6889287550562,121.63115912097246,122.68812188099892,123.86283915886892,125.15847698896982,126.578345316343,128.1258979966836,129.80473279634094,131.61859139231822,133.5713593722727,135.66706623451546,137.9098853880116,140.30413415238033,142.85427375789462,145.56490934548148,148.4407899667221,151.48680858385123,154.70800206975798,158.10955120798516,161.69678069272973,165.47515912884256,169.45029903182842,173.62795682784616,178.01403285370841,182.61457135688218,187.43576049548787,192.48393233830026,197.76556286474815,203.287271964914,209.05582343953444,215.078125],[294.97771075822106,287.28082578989813,279.8337733396178,272.62964569598955,265.66167905827683,258.92325353639694,252.40789315092115,246.10926583307509,240.02118342473773,234.13760167844256,228.4526202573767,222.9604827353814,217.65557659695173,212.532433237237,207.58572796204015,202.81027998781846,198.20105244168275,193.7531523613983,189.4618306953838,185.3224823027125,181.33064595311117,177.48200432696075,173.7723840152961,170.19775551980615,166.75423325283356,163.4380755373752,160.24568460708184,157.17360660625815,154.2185315898629,151.37729352350863,148.64687028346208,146.0243836566438,143.50709934062834,141.0924269436443,138.7779199845742,136.56127589295446,134.44033600897555,132.41308558348192,130.4776537779719,128.63231366459792,126.87548222616627,125.20572035613728,123.62173285862517,122.12236844839825,120.70661975087867,119.37362330214265,118.1226595489203,116.95315284859578,115.86467146920717,114.85692758944651,113.92977729865986,113.0832205968472,112.3174013946625,111.63260751341372,111.02927068506276,110.50796655222547,110.06941466817173,109.71447849682536,109.44416541276414,109.25962670121984,109.16215755807818,109.15319708987886,109.23432831381555,109.40727815773587,109.67391746014148,110.03626097018791,110.49646734768473,111.05683916309547,111.7198228975376,112.48800894278256,113.36413160125582,114.35106908603676,115.45184352085872,116.66962094010908,118.00771128882917,119.46956842271419,121.05879010811344,122.77911802203013,124.63443775212147,126.62877879669858,128.76631456472657,131.05136237582465,133.48838346026574,136.0819829589769,138.8369099235393,141.75805731618772,144.85046200981125,148.11930478795267,151.56991034480896,155.207747285231,159.03842812472357,163.06770928944547,167.30149111620943,171.74581785248233,176.4068776563847,181.2910025966912,186.4046686528307,191.75449571488565,197.34724758359266,203.1898319703423],[282.4311528665221,274.9345548013272,267.6839516367356,260.672435661357,253.89324307445466,247.33975398594595,241.0054924164022,234.88412629704885,228.96946746976516,223.2554716870844,217.73623861219372,212.40601181893442,207.25917879180156,202.29027092594444,197.49396352716604,192.86507581192353,188.39857090732784,184.0895558511442,179.93328159179134,175.9251429883425,172.06067881052434,168.33557173871796,164.74564836395814,161.2868791879338,157.95537862298767,154.74740499211651,151.65936052897118,148.68779137785637,145.82938759373073,143.08098314220695,140.4395558995516,137.90222765268538,135.46626409918278,133.12907484727242,130.88821341583673,128.74137723441225,126.6864076431894,124.7212898930126,122.84415314538029,121.05327047244475,119.34705885701237,117.72407919254343,116.1830362831522,114.72277884360693,113.34229949932985,112.0407347863971,110.81736515153881,109.67161495213918,108.60305245623624,107.61138984252209,106.69648320034271,105.85833252969815,105.09708174124232,104.41301865628324,103.80657500678277,103.27832643535677,102.82899249527514,102.45943665046167,102.17066627549414,101.96383265560435,101.84023098667798,101.80130037525475,101.84862383852837,101.98392830434642,102.20908461121053,102.52610750827627,102.93715565535321,103.44453162290488,104.05068189204871,104.75819685455622,105.5698108128528,106.48840198001784,107.51699247978476,108.65874834654083,109.91697952532746,111.29513987183982,112.7968271524272,114.42578304409284,116.18589313449391,118.08118692194157,120.11583781540091,122.29416313449113,124.62062410948516,127.0998258813101,129.73651750154704,132.5355919324308,135.50208604685048,138.64118062834888,141.95820037112293,145.45861388002353,149.14803367055546,153.03221616887754,157.11706171180245,161.40861454679714,165.91306283198205,170.63673863613195,175.5861179386756,180.76782062969556,186.18861050992837,191.85539529076456],[270.41926323770724,263.1190345078378,256.0610430114958,249.23838103729088,242.64428478448636,236.2721343629996,230.1154537934019,224.16791100691879,218.42331784542938,212.875630061467,207.5189473182189,202.34751318952624,197.35571515988417,192.53808462444195,187.88929688900254,183.40417117002318,179.07767059461474,174.90490220054244,170.8811169362251,167.00170966073583,163.26221914380145,159.6583280658029,156.18586301777503,152.84079450140678,149.61923692904082,146.51744862367403,143.53183181895713,140.65893265919485,137.8954411993459,135.23819140502286,132.68416115249246,130.23047222867527,127.87439033114583,125.61332506813272,123.44482995851843,121.36660243183945,119.37648382828623,117.47245939870318,115.6526583045887,113.91535361809515,112.25896232202888,110.68204530985017,109.18330738567326,107.76159726426644,106.41590757105195,105.14537484210587,103.94927952415841,102.8270459745937,101.7782424614498,100.80258116341881,99.89991816984673,99.07025348073356,98.31373100673326,97.63063856915383,97.0214078999571,96.48661464175899,96.02697834782936,95.64336248209199,95.33677441912471,95.10836544415926,94.95943075308136,94.89140945243075,94.90588455940106,95.00458300183993,95.18937561824899,95.4622771577838,95.82544628025393,96.28118555612289,96.83194146650814,97.48030440318118,98.22900866856742,99.08093247574625,100.03909794845106,101.10667112106916,102.28696193864192,103.58342425686453,104.9996558420863,106.5393983713104,108.20653743219408,110.00510252304846,111.93926705283864,114.01334834118383,116.23180761835695,118.59925002528509,121.12042461354933,123.80022434538455,126.64368609367979,129.65599064197784,132.8424626844757,136.20857082602421,139.75992758212817,143.50228937894641,147.4415565532916,151.58377335263066,155.93512793508407,160.50195236942662,165.29072263508704,170.3080586221478,175.5607241313456,181.0556268740709],[258.92325353639694,251.81547657405036,244.94625912851882,238.30869348841173,231.8960158529924,225.70160633217836,219.71898894654083,213.94183162730525,208.36394621635085,202.97928846621093,197.7819580400727,192.76619851177733,187.92639736582004,183.25708599734998,178.75293971217025,174.4087777267378,170.21956316816394,166.1804030742135,162.28654839330557,158.53339398451305,154.91647861756292,151.43148497283602,148.0742396413673,144.84071312484554,141.72701983561356,138.72941809666816,135.84431014166012,133.0682421148941,130.39790407132884,127.83012997657698,125.36189770690515,122.99032904923396,120.71268970113799,118.52638927084577,116.42898127723979,114.41816314985657,112.49177622888652,110.6478057651741,108.8843809202177,107.19977476616964,105.5924042858363,104.06083037267796,102.60375783080886,101.22003537499728,99.90865563066544,98.66875513388949,97.49961433139956,96.40065758057983,95.37145314946837,94.41171321675722,93.52129387179242,92.70019511457397,91.94856085575583,91.26667891664597,90.65498102920628,90.11404283605262,89.6445838904549,89.24746765633687,88.92370150827635,88.67443673150511,88.50096852190885,88.4047359860273,88.38732214105414,88.45045391483694,88.59600214587738,88.82598158333101,89.14255088700737,89.54801262737001,90.04481328553639,90.63554325327799,91.32293683302021,92.10987223784247,92.99937159147814,93.99460092831455,95.098870193393,96.31563324240881,97.64848784171114,99.10117566830331,100.67758230984246,102.38173726463975,104.21781394166031,106.19012966052321,108.30314565150157,110.56146705552237,112.96984292416668,115.53316621966945,118.25647381491962,121.14494649346008,124.20390894948778,127.43882978785352,130.8553215240622,134.45914058427252,138.25618730529726,142.25250593460333,146.4542846303112,150.86785546119563,155.49969440668536,160.35642135686288,165.44480011246486,170.7717383848818],[247.92473517902835,241.00549241640223,234.32121140424192,227.86498443115673,221.63004769641014,215.60978130991953,209.79770929225623,204.18749957464559,198.77296399896687,193.5480583177534,188.50688219419237,183.64367920212499,178.95283682604642,174.42888646110583,170.06650341310626,165.86050689850484,161.80586004441267,157.89766988859472,154.13118737947,150.50180737611146,147.00506864824607,143.63665387625463,140.39238965117215,137.26824647468734,134.26033875914314,131.3649248275362,128.57840691351743,125.89733116139139,123.31838762611689,120.83841027330651,118.45437697922694,116.16340953079873,113.9627736255965,111.8498788718488,109.82227878843807,107.87767080490086,106.01389626142758,104.22894040886267,102.52093240870452,100.88814533310548,99.32899616487191,97.84204579746407,96.42599903499627,95.07970459223668,93.80215509460763,92.5924870781852,91.44998098969955,90.37406118653485,89.36429593672915,88.42039741897455,87.54222172261703,86.72976884765662,85.98318270474726,85.30275111519697,84.68890581096755,84.14222243467495,83.66342053958901,83.25336358963352,82.91305895938632,82.64365793407913,82.44645570959767,82.32289139248167,82.2745479999248,82.30315245977468,82.41057561053293,82.59883220135512,82.8700808920508,83.22662425308351,83.67090876557072,84.20552482128387,84.83320672264841,85.55683268274376,86.37942482530326,87.30414918471425,88.33431570601803,89.4733782449099,90.72493456773908,92.09272635150884,93.58063918387631,95.19270256315268,96.9330898983031,98.8061185089466,100.81624962535629,102.9680883884592,105.26638384983636,107.71602897172272,110.32206062700723,113.08965959923282,116.02415058259635,119.13100218194873,122.41582691279474,125.8843812012932,129.54256538425682,133.3964237091525,137.45214433410072,141.71605932787625,146.19464466990786,150.89452025027802,155.82244986972339,160.9853412396344],[237.40571933385527,230.67109320314717,224.16791100691876,217.88926503377968,211.82839148299323,205.9786704644768,200.33362599880178,194.8869260171935,189.63238236153123,184.56395078434815,179.6757309488317,174.9619664288229,170.41704470881706,166.03549718396317,161.81199916006446,157.7413698535779,153.81857239161474,150.03871381193977,146.39704506297215,142.88896100378474,139.5100004041046,136.25584594431245,133.12232421544337,130.105405719186,127.20120486788326,124.40597998453194,121.71613330278277,119.12821096694046,116.63890303196372,114.24504346346518,111.94361013771154,109.73172484162333,107.60665327277516,105.56580503939554,103.60673366036703,101.72713656522606,99.92485509416312,98.1978744980226,96.54432393830291,94.96247648715641,93.45074912738943,92.00770275246227,90.63204216648919,89.32261608423842,88.07841713113223,86.89858184324675,85.78239066731211,84.72926796071249,83.73878199148595,82.81064493832454,81.94471289057432,81.14098584823526,80.39960772196133,79.72086633306051,79.10519341349466,78.55316460587969,78.06549946348545,77.64306145023573,77.28685794070834,76.99804022013507,76.77790348440158,76.62788684004761,76.54957330426686,76.54468980490691,76.61510718046941,76.76284018010992,76.99004746363796,77.29903160151713,77.69223907486483,78.1722602754526,78.74182950570578,79.40382497870385,80.16126881818013,81.01732705852199,81.9753096447707,83.03867043262157,84.21100718842382,85.49606158918071,86.8977192225494,88.42000958684105,90.06710609102076,91.84332605470769,93.75313070817487,95.80112519234932,97.99205855881209,100.33082376979814,102.8224576981964,105.47214112754982,108.28519875205524,111.26709917656356,114.42345491657959,117.76002239826215,121.28270195842397,124.99753784453182,128.91071821470638,133.0285751377223,137.3575845930083,141.90436647064692,146.67568457137486,151.67844660658255],[227.3486169209481,220.79468985435537,214.46876885661976,208.36394621635085,202.47345813281203,196.79068471592052,191.3091499862478,186.02252187501927,180.92461222411407,176.00937678606562,171.27091522406096,166.70347111194147,162.30143193420218,158.05932908599237,153.97183787311505,150.03377751202743,146.24011112984033,142.585945764319,139.0665323638823,135.6772657876033,132.41368480520885,129.27147209707982,126.2464542542512,123.33460177841177,120.53202908190428,117.83499448772562,115.23990022952648,112.74329245161161,110.34186120893969,108.03244046712334,105.81200810242927,103.67768590177803,101.6267395627442,99.65657869355634,97.76475681309694,95.94897135090247,94.20706364716344,92.5370189527242,90.93696642908317,89.40517914839272,87.94007409345916,86.54021215774281,85.20429814535794,83.93118077107277,82.71985266030956,81.56945034914443,80.47925428430754,79.44868882318305,78.47732223380902,77.56486669487752,76.71117829573458,75.91625703638019,75.18024682746832,74.50343549030694,73.88625475685792,73.32928026973715,72.83323158221451,72.39897215821377,72.02750937231275,71.71999450974322,71.47772276639087,71.30213324879543,71.19480897415056,71.15747687030392,71.1920077757571,71.30041643966565,71.48486152183916,71.74764559274115,72.09121513348909,72.51816053585445,73.03121610226262,73.63326004579307,74.3273144901791,75.1165454698081,76.00426292972135,76.99392072561413,78.08911662383568,79.29359230138925,80.611233345932,82.04606925577512,83.60227343988367,85.28416321787684,87.0961998200276,89.04298838726305,91.12927797116423,93.35996153396601,95.74007594855743,98.27480199848137,100.96946437793471,103.82953169176834,106.86061645548708,110.06847509524972,113.45900794786897,117.03825926081171,120.81241719219847,124.78781381080397,128.97092509605702,133.36837093804004,137.98691513748975,142.83346540579657],[217.7362386121937,211.35909304191387,205.20659562523187,199.27183865075727,193.5480583177534,188.0286347361377,182.70709192648133,177.57709782000993,172.63246425860254,167.86714699479253,163.2752456917671,158.85100392336756,154.5888091740889,150.4831928390804,146.5288302241451,142.72054054574016,139.05328693097653,135.52217641761933,132.12245995408747,128.84953239945398,125.69893252344576,122.6663430064437,119.7475904394827,116.93864532425158,114.23562207309317,111.63477900900423,109.13251836563555,106.72538628729181,104.41007282893173,102.18341195616793,100.04238154526712,97.9841033831498,96.00584316739067,94.10501050621815,92.2791589185148,90.52598583381709,88.8433325923155,87.22918444485441,85.68167055293227,84.19906398870138,82.77978173496808,81.42238468519271,80.12557764348949,78.88820932462671,77.70927235402657,76.58790326776521,75.52338251257282,74.5151344458335,73.56272733558535,72.66587336052044,71.82442860998478,71.03839308397838,70.30791069315521,69.6332692588232,69.01490051294428,68.45338009813432,67.94942756766315,67.50390638545461,67.11782392608652,66.79233147479056,66.52872422745251,66.32844129061209,66.19306568146294,66.12432432785269,66.12408806828297,66.19437165190935,66.33733373854137,66.55527689864257,66.85064761333042,67.22603627437638,67.68417718420591,68.22794855589837,68.86037251318712,69.58461509045955,70.40398623275692,71.32193979577453,72.34207354586161,73.46812916002142,74.7039922259111,76.05369224184184,77.52140261677874,79.11144067034095,80.82826763280146,82.67648864508735,84.66085275877967,86.78625293611329,89.05772604997728,91.48045288391444,94.05975813212174,96.80111039945004,99.71012220140412,102.79254996414282,106.05429402447884,109.50139862987903,113.14005193846396,116.97658601900832,121.01747685094091,125.26934432434423,129.7389522399549,134.4332083091634],[208.55179483129564,202.34751318952618,196.3646017364586,190.59615276070244,185.03540246152096,179.6757309488317,174.5106622432059,169.53386427586892,164.73914888870007,160.1204718342326,155.67193277565377,151.38777528680473,147.26238685218067,143.29029886693078,139.4661866368581,135.78486937841978,132.24131021872682,128.83061619554428,125.54803825729114,122.38897126304035,119.34895398251888,116.42366909610756,113.60894319484134,110.90074678040901,108.29519426515338,105.7885439720713,103.37719813481345,101.05770289768458,98.82674831564337,96.68116835430246,94.61794088992858,92.63418770944222,90.727174510418,88.89431090108445,87.1331504003241,85.4413904376734,83.81687235332285,82.2575813981168,80.76164673355373,79.32734143178591,77.95308247561972,76.63743075851546,75.3790910845874,74.17691216860376,73.02988663598678,71.93715102281263,70.89798577581145,69.91181525236736,68.97820772051847,68.09687535895682,67.26767425702845,66.49060441473334,65.7658097427255,65.09357806231283,64.47434110545727,63.908674514774674,63.397297843534915,62.941074555661785,62.54101202573311,62.19826153898062,61.91411829129004,61.69002138920111,61.52755384990745,61.42844260125673,61.39455848175055,61.427916240544484,61.530674537448085,61.7051359429249,61.95374693809236,62.27909791472196,62.68392317523912,63.17110093272325,63.7436533109077,64.40474634417984,65.15768997758093,66.00593806680628,66.95308837820514,68.00288258878072,69.1592062861902,70.42608896874478,71.8077040454095,73.30836883580356,74.93254457019994,76.68483638952573,78.56999334536195,80.59290839994351,82.75861842615944,85.07230420755258,87.53929043831985,90.16504572331218,92.95518257803425,95.91545742864496,99.05177061195707,102.3701663754373,105.87683287720633,109.57810218603888,113.48045028136357,117.59049705326302,121.91500630247386,126.46088574038654],[199.778895753774,193.74356047271237,187.92639736582004,182.3204987217064,176.9191007396348,171.71558352952275,166.70347111194147,161.87643141811637,157.22827628992675,152.75296147990582,148.44458665124088,144.29739537777306,140.30577514399758,136.46425734506357,132.76751728677414,129.21037418558632,125.78779116861129,122.49487527361396,119.32687744901338,116.2791925538825,113.34735935794826,110.52706054159148,107.8141226958472,105.20451632240409,102.69435583360504,100.27989955244686,97.95754971258026,95.72385245830995,93.57549784459468,91.50931983704703,89.52229631193372,87.61154905617528,85.77434376734632,84.00809005367537,82.31034143404494,80.67879533799152,79.11129310570553,77.60581998803144,76.16050514646761,74.7736216531664,73.44358649093415,72.16896055323117,70.9484486441717,69.780899478524,68.66530568171031,67.60080378980676,66.5866742495435,65.6223414183047,64.70737356412843,63.84148286570672,63.02452541238564,62.25650120416516,61.537554151699254,60.867972076295885,60.24818670991694,59.67877369517831,59.160452585349844,58.694086844355354,58.28068384677263,57.92139487783345,57.61751513342351,57.37048372008253,57.1818836550042,57.05344186603611,56.98702919167991,56.98466038109116,57.0484940940794,57.18083290110819,57.38412328329497,57.66095563241123,58.01406425088237,58.446327351787815,58.96076705886094,59.56054940648905,60.24898433971347,61.02952571422949,61.905771296386334,62.881462763187244,63.9604857022894,65.14686961200395,66.44478790129602,67.85855788978476,69.39264080774315,71.05164179609827,72.84030990643116,74.76353810097676,76.826363252624,79.03396614491585,81.39167147204914,83.90494783887479,86.5794077608976,89.42080766427632,92.43504788582374,95.62817267300669,99.00637018394575,102.57597248741563,106.34345556284507,110.31543930031653,114.49868750056675,118.90010787498613],[191.40155130696542,185.53124481880917,179.87599244065282,174.42888646110578,169.1831630794316,164.13220240554742,159.2695284600248,154.5888091740889,150.0838563896192,145.7486258591489,141.57721724586514,137.5638741236092,133.70298397687623,129.9890782008154,126.41683210122977,122.98106489457649,119.67673970796655,116.49896357916502,113.44298745659088,110.50420619931708,107.67815857707056,104.96052727023219,102.34713886983691,99.83396387757352,97.41711670578482,95.09285567746763,92.85758302627264,90.70784489650467,88.64033134312234,86.6518763317383,84.73945773861922,82.90019735068569,81.13136086551228,79.43035789132753,77.79474194701396,76.22221046210804,74.71060477680024,73.25791014193493,71.86225571901059,70.5219145801795,69.235303708248,68.00098399667644,66.81766024957903,65.68418118172409,64.59953941853375,63.562871496084234,62.573457861105666,61.6307228709822,60.734234793751895,59.883705808106825,59.078992003393026,58.32009337961048,57.60715384741317,56.940461228109044,56.32044725365999,55.74768756668191,55.22290172044463,54.74695317887198,54.32084931654177,53.94574141868573,53.62292468118959,53.35383821059308,53.14006502408982,52.983332049527505,52.88551012540772,52.848614000886016,52.874802335771975,52.96637770052912,53.12578657627492,53.35561935478083,53.65861033847231,54.03763774042872,54.49572368438345,55.03603420472385,55.661879246491196,56.37671266538078,57.184132227741856,58.08787961057765,59.091840401545326,60.200044098956084,61.41666411177498,62.746017759621196,64.19256627276772,65.76091479214163,67.45581236932398,69.28215196654963,71.24497045670768,73.34944862334089,75.60091116064622,78.00482667347458,80.5668076773307,83.29261059837347,86.18813577341554,89.2594274499238,92.51267378601881,95.95420685047527,99.59050262272197,103.42818099284136,107.47400576157013,111.73488464029874],[183.40417117002312,177.69497590696972,172.19779664011017,166.90572565805394,161.81199916006446,156.909997256059,152.1932439666091,147.65540722293989,143.29029886693078,139.091874651115,135.05423423867984,131.17162120346643,127.43842302996995,123.84917111333957,120.39854075937838,117.08135118454348,113.8925655159459,110.82729079135072,107.88077795917687,105.04842187849732,102.32576131903906,99.7084789611829,97.1924013959638,94.77349912507053,92.44788656084596,90.21182202628682,88.06170775504391,85.99408989142194,84.00565849037959,82.09324751752949,80.25383484913834,78.4845422721267,76.78263548406915,75.14552409319424,73.57076161838445,72.0560454891763,70.59921704576021,69.19826153898062,67.85130813033592,66.55662989197847,65.31264380671458,64.11791076800459,62.971135579962734,61.87116695735728,60.816997525610425,59.80776382079834,58.842746289651195,57.921369289553105,57.04320108854215,56.2079538653104,55.41548370920388,54.665790620222594,53.95901850902051,53.295455196905564,52.67553241583967,52.099825808438716,51.56905492797254,51.08408323836495,50.64591811419376,50.255710840690725,49.914756613741545,49.62449453988597,49.38650763631763,49.20252283088418,49.07441096208722,49.004186779082346,48.99400894167908,49.04618002034097,49.163146496185476,49.34749876098407,49.60197111716219,49.92944177779923,50.33293286662854,50.815610418037494,51.380784377067364,52.03190859941344,52.772580851424976,53.606542810105196,54.53768006311127,55.57002210875438,56.70774235599963,57.95515812446614,59.31673064442694,60.79706505680909,62.400910413193614,64.13315967581548,65.99884971756363,68.00316132198097,70.1514191832644,72.44909190626478,74.90179200648693,77.51527591008966,80.29544395388572,83.24834038534186,86.38015336257877,89.6972149543711,93.20600114014762,96.91313180999077,100.8253707646373,104.94962571547765],[175.77156477391702,170.21956316816394,164.876619395162,159.7358257435207,154.79041841250336,150.03377751202743,145.4594270626642,141.06103499563906,136.83241315283124,132.7675172867741,128.86044706065485,125.10544604831458,121.49690173424854,118.02934551360593,114.69745269218976,111.49604248645718,108.4200780235192,105.46466634114091,102.6250583877412,99.89664902239315,97.27497701482358,94.75572504541346,92.33471970519764,90.00793149586502,87.77147482975829,85.62160802987432,83.55473332986386,81.56739687403162,79.65628871733628,77.8182428253905,76.05023707446094,74.34939325146816,72.71297705398678,71.13839809024529,69.62320987912625,68.16510985016609,66.76193934355531,65.4116836101383,64.11247181141347,62.86257701953317,61.66041621730373,60.50455029818545,59.39368406629261,58.32666623639343,57.302489433910154,56.32029019491894,55.37934896614993,54.479090104987264,53.61908187946902,52.79903646828728,52.01880996078804,51.27840235697132,50.57795756749108,49.91776341365529,49.29825162742582,48.71999785141856,48.183721638903386,47.69028645380408,47.24069967069845,46.836112574818266,46.47782036204923,46.16726213893106,45.90602092265743,45.69582364107597,45.53854113268829,45.43618814664996,45.39092334277054,45.40504929151356,45.48101247399648,45.62140328199078,45.82895601792188,46.10654889486918,46.45720403656606,46.88408747739984,47.39050916241183,47.979922947297325,48.65592659840555,49.42226179273975,50.28281411795709,51.241613072368736,52.30283206493981,53.47078841528944,54.74994335369064,56.14490202107048,57.66041346900998,59.30137065974411,61.07281046616178,62.97991367180595,65.02800497087348,67.22255296821527,69.5691701793361,72.0736130303948,74.74178185820409,77.57972091023079,80.59361834459551,83.78980623007297,87.17476054609186,90.7551011827347,94.53759194073817,98.52914053149277],[168.4889413014335,163.09021578517826,157.89766988859472,152.90439590029246,148.10363001953468,143.488752356239,139.05328693097655,134.79090167497287,130.69540843010708,126.76076294891256,122.98106489457649,119.35055784094007,115.86362927249849,112.51481058440088,109.29877708245036,106.21034798310401,103.24448641347286,100.39629941132198,97.66103792507035,95.0340968137909,92.51101484721059,90.0874747057103,87.75930298032495,85.52247017274333,83.37309069530828,81.30742287101656,79.32186893351893,77.41297502712015,75.57743120677885,73.81207143810772,72.11387359737341,70.4799594714965,68.90759475805156,67.39418906526714,65.93729591202575,64.53461272786387,63.18398085297194,61.88338553819439,60.63095594502965,59.424965145630004,58.26383012280182,57.14611177000542,56.070514891355046,55.03588820161895,54.04122432621935,53.08565980123241,52.16847507338828,51.2890945000711,50.44708634931895,49.64216279982388,48.87417994093194,48.1431377726431,47.449180205611356,46.79259506114464,46.173814071204866,45.593412878407904,45.05211103602362,44.5507720079758,44.090403168842286,43.672155803854785,43.297325108899045,42.96735019051479,42.68381406589566,42.448443662889304,42.263109819997325,42.12982728637531,42.050754721832796,42.028194696833324,42.06459369249436,42.162542100587366,42.32477422353779,42.55416827442501,42.85374637698239,43.22667456559731,43.67626278531102,44.20596489181882,44.819378651469975,45.5202457412677,46.312451748869165,47.20002617258555,48.18714242138195,49.27811781487752,50.477413583345246,51.78963486771222,53.21953071955947,54.77199410112191,56.45206188528856,58.26491485560226,60.21587770625992,62.31041904211246,64.55415137866463,66.95283114207527,69.51235866915712,72.23877820737697,75.13827791485544,78.21718986036726,81.48199002334108,84.93929829385951,88.59587847265914,92.4586382711305],[161.54190968717563,156.2925426926157,151.24655705501135,146.39704506297218,141.7372429157615,137.26053072329677,132.96043250614923,128.83061619554434,124.86489363336128,121.05722057213339,117.40169667504787,113.89256551594593,110.52421457932275,107.29117526032744,104.18812286476314,101.20987660908696,98.3513996204099,95.607798936497,92.97432550576724,90.44637418729363,88.01948375080308,85.68933687667645,83.45176015594866,81.30272409030854,79.2383430920989,77.25487548431651,75.34872350061214,73.51643328529053,71.75469489331033,70.06034229028418,68.43035335247879,66.86184986681472,65.35209753086654,63.898505952862806,62.498628651686005,61.150163056872636,59.85095050861315,58.59897625775194,57.39236946578746,56.229403204872,55.10849445781193,54.02820411806754,52.987236989753114,51.984441787636875,51.01881113714104,50.089481574341804,49.1957335459693,48.336991409407645,47.51282343269493,46.72294179452323,45.96720258423857,45.24560580184094,44.55829535798432,43.90555907397665,43.28782868177983,42.705679824009735,42.15983205393624,41.65114883548314,41.18063754322825,40.749449462403305,40.358879788894036,40.010367629240164,39.70549600063533,39.44599183092719,39.233725958617356,39.07071313286139,38.959112013468854,38.901225170903274,38.89949908628213,38.95652415137687,39.075034668612936,39.257908851069715,39.508168822480584,39.8289806172329,40.22365418036793,40.69564336758098,41.248545945221295,41.886103590292095,42.61220189045054,43.43087034400784,44.34628235992908,45.362755257833385,46.48475026799378,47.71687253133734,49.06387109944509,50.530638934551945,52.12221290954693,53.84377380797289,55.70064632402672,57.69829906255936,59.84234453907554,62.13853917973411,64.59278332134781,67.21112121138341,69.99974100796156,72.96497477985699,76.11329850649832,79.45133207796819,82.98583929500317,86.7237278689938],[154.91647861756292,149.81255257689565,144.90928958083143,140.19978191797946,135.67726578760332,131.33512129962023,127.16687247460172,123.16618724377297,119.32687744901335,115.64289884285614,112.10835108848852,108.7174777597517,105.46466634114088,102.34444822780519,99.35149872554771,96.4806370508256,93.72682633074983,91.08517360308547,88.5509298162515,86.11948982932088,83.78639241202058,81.54732024473142,79.39809991848836,77.33470193498017,75.35324070654971,73.44997455619375,71.62130571756302,69.8637803349623,68.17408846335022,66.54906406833945,64.98568502619663,63.481073123842386,62.03249405885126,60.63735743945182,59.29321678452655,57.99776952361194,56.74885699689845,55.54446445523049,54.38272106010647,53.261899883678716,52.180417908753576,51.136836028791365,50.12985904790634,49.15833568086675,48.22125855309479,47.317764200666666,46.4471330703125,45.608789519416426,44.80230181601654,44.02738213880488,43.283886577127504,42.5718151309844,41.89131171102953,41.242664138570845,40.62630414557025,40.04280737464362,39.49289337906082,38.97742562274564,38.49741148027592,38.05400223688337,37.64849308845373,37.28232314152673,36.957075413295996,36.6744768316092,36.43639823496793,36.244854372527776,36.10200390409828,36.01014940014298,35.97173734177934,35.98935812077882,36.065746039566875,36.20377931122287,36.40648005948019,36.67701431872618,37.018692034002136,37.434967061003334,37.92943716607904,38.50584402623246,39.16807322912077,39.92015427305516,40.76626056700072,41.71070943057659,42.757962094055785,43.91262369836538,45.179443295086394,46.56331384645375,48.06927222535647,49.7024992153374,51.468319510593446,53.372201715975514,55.41975834698838,57.61674582979085,59.969064501195696,62.482758608669684,65.16401631033345,68.01916967496172,71.05469468198315,74.27721122148033,77.69348309418987,81.31041801150229],[148.5990565308316,143.63665387625463,138.8722759042912,134.2990149035506,129.9101070732964,125.69893252344578,121.65901527457028,117.7840232578951,114.06776831529963,110.50420619931708,107.08743657313468,103.81170301059365,100.67139299618916,97.66103792507036,94.7753131030403,92.00903774655617,89.35717498272894,86.81483184932368,84.37725929475936,82.03985217810893,79.79814926909935,77.64783324811151,75.58473070618028,73.6048121449945,71.704191976897,69.87912852488452,68.12602402260784,66.44142461437171,64.82202035513478,63.26464521050973,61.76627705676317,60.324037680815735,58.93519278024198,57.59715196327045,56.307468748783634,55.06384056631804,53.86410875606411,52.70625856886627,51.58841916622291,50.508863620286384,49.46600891386301,48.458415940413126,47.48478950405097,46.54397831954481,45.63497501231683,44.75691611844323,43.90908208465414,43.0908972683337,42.301929937519986,41.54189227090507,40.81064035783498,40.108174198309705,39.43463770298323,38.79031869316348,38.17564890081238,37.59120396854579,37.03770344963358,36.51601080799955,36.027133418221524,35.57222256553122,35.15257344581438,34.76962516561073,34.4249607421139,34.120307103171555,33.85753508728529,33.63865944361069,33.465838831957306,33.341375822788656,33.26771689722223,33.247452447029474,33.283316774635836,33.3781880931207,33.535088526217436,33.75718410831339,34.04778478444987,34.41034441032214,34.848460752279465,35.365875487325056,35.96647420311609,36.65428639796376,37.43348548083314,38.30838877134339,39.283457499767515,40.36329680703259,41.55265574471964,42.85642727506358,44.27964827095343,45.82749951593205,47.50530570419633,49.31853544059719,51.272801240639396,53.37385953048177,55.62761064693704,58.04009883747202,60.61751226020734,63.3661829839177,66.29258698803179,69.40334416263217,72.70521830845547,76.20511713689218],[142.57645161703437,137.75165478074518,133.12232421544334,128.68155220973824,124.42257496289335,120.338772584826,116.42366909610757,112.67093242796341,109.07437442227271,105.62795083156888,102.32576131903906,99.16204945852448,96.13120273452023,93.22775254217561,90.4463741872936,87.78188688633139,85.22925376639992,82.7835818652643,80.44012213134347,78.19426942371044,76.0415625120921,73.97768407686935,71.99846070907712,70.09986291040418,68.27800509319339,66.52914558044151,64.84968660579929,63.236174313571475,61.685298758716726,60.193893906847734,58.75893763423111,57.37755172778746,56.04700188509137,54.76469771437136,53.52819273450995,52.335184375043625,51.18351397616283,50.07116678871199,48.99627197418949,47.9571026047477,46.95207566319295,45.97975204298554,45.03883654823973,44.12817789372375,43.24676870485986,42.393745517724206,41.56838877904692,40.77012284621216,39.998515987258,39.2532803808765,38.53427211641369,37.84149119386957,37.1750815238981,36.53533092780726,35.92267113755891,35.33767779576894,34.78107045570724,34.25371258129756,33.75661154711776,33.29091863839956,32.85792905102869,32.45908189154486,32.09596017714174,31.77029083566696,31.483944705622136,31.238936536162843,31.037424987098632,30.881712628893023,30.7742459426635,30.717615320181533,30.71455506387253,30.767943386815908,30.880802412745034,31.05629817604723,31.297740621763822,31.608583605590088,31.99242489387526,32.45300616362257,32.994213002489204,33.62007490878632,34.33476529147903,35.14260147018646,36.04804467518166,37.05570004739165,38.1703166383975,39.39678741043412,40.740149236390494,42.20558289980951,43.798413094888076,45.524108426477056,47.38828141008128,49.39668847185951,51.55522994862454,53.86995008784313,56.347037047635915,58.992822896777625,61.81378361469693,64.81653909147639,68.00785312785264,71.39463343521618],[136.83587181804057,132.14476323223667,127.64664245615721,123.33460177841178,119.20187739826366,115.2418494256303,111.448041881083,107.81412269584717,104.33390371180204,101.00134068148088,97.81053326807097,94.75572504541346,91.83130349800352,89.03180002099035,86.35188992017699,83.78639241202058,81.33027062363213,78.97863159277671,76.72672626787326,74.56994950799478,72.50384008286818,70.52408067287438,68.62649786904825,66.8070621730786,65.0618879973083,63.38723366473409,61.77950140900672,60.23523737443095,58.751131615965434,57.32401809922283,55.950874700469804,54.62882320662693,53.3551293152688,52.12720263462394,50.94259668357486,49.799008891658055,48.69428059906395,47.62639705663699,46.59348742587557,45.59382477893204,44.62582609861271,43.688052278377924,42.77920812234191,41.89814234527295,41.04384757259323,40.21546034037893,39.4122610953602,38.63367419492117,37.87926790709993,37.14875441058853,36.441989794733004,35.75897405953336,35.09985111564355,34.46490878437153,33.85457879767921,33.26943679818246,32.71020233915114,32.17773888450905,31.67305380883401,31.19729839735775,30.751767845966008,30.337901261198503,29.957281660248874,29.61163597096478,29.302835031847827,29.032893592053586,28.803970311391616,28.618367760325434,28.478532419972517,28.387054682104335,28.34666884914632,28.36025313417786,28.430829660932325,28.56156446379706,28.755767487813365,29.016892588676527,29.34853753273579,29.754443996994368,30.238497569109455,30.80472774739221,31.457307940807752,32.200555468975196,33.03893156216758,33.97704136131197,35.01963391798936,36.171602194434726,37.43798306353703,38.82395730883916,40.33484962453804,41.97612861548451,43.75340679718339,45.672440595793496,47.739130348127546,49.959520301652375,52.33979861448857,54.886297355410875,57.60549250384794,60.50400394988236,63.58859549425075,66.86617484834362],[131.36492482753624,126.80358692441507,122.43283832011882,118.24577130325713,114.23562207309323,110.3957707395446,106.71974132318252,103.20120175523243,99.83396387757352,96.6119834427391,93.52936011391643,90.58033746494664,87.75930298032495,85.0607880552005,82.4794679953764,80.01016201730971,77.64783324811151,75.38758872554683,73.22467939803462,71.1545001246479,69.17258967511354,67.27463072981249,65.4564498797796,63.71401762670372,62.043448382927664,60.441000471448206,58.90307612591609,57.42622149063608,56.007126620566815,54.64262548132098,53.3296959491652,52.06545981102009,50.847182764460214,49.67227441771412,48.53828828966431,47.44292180984726,46.38401631845343,45.359557066327234,44.36767321496709,43.40663783652533,42.474867913808275,41.57092434027626,40.69351192004353,39.841479367878335,39.013819309202894,38.20966828009337,37.428306727279924,36.66915900814668,35.93179339073171,35.2159220537271,34.52140108647886,33.848230488987,33.196554171905476,32.56665995654225,31.958979574859214,31.374088669472254,30.812706793651223,30.27569741131993,29.764067897056183,29.278969536091722,28.821697524312277,28.393690968257573,27.996532885121244,27.63195020275095,27.3018137596483,27.008138304968863,26.753082498522197,26.538948910771822,26.368184022835216,26.24337822648384,26.167265824143136,26.142725028892485,26.17277796446526,26.260590665248813,26.40947307628444,26.62287905326741,26.904406362546993,27.257796681126393,27.6869355966628,28.19585260746738,28.788721122505244,29.469858461395507,30.243725854411224,31.11492844247943,32.088215277181156,33.16847932075135,34.36075744607899,35.67023043670696,37.10222298683215,38.66220370130547,40.355785095631674,42.18872359596962,44.16691953913201,46.29641717258568,48.583404654451215,51.03421405350336,53.65532134917078,56.45334643153603,59.435053101335775,62.60734906996049],[126.15161809102376,121.71613330278277,117.4689192528306,113.4030682297767,109.51181643288447,105.78854397207132,102.22677486790857,98.82017705162157,95.56256236508962,92.44788656084593,89.47024930207783,86.62389416262644,83.90320862698695,81.30272409030854,78.81711585839426,76.44120314770123,74.1699490853405,71.99846070907712,69.92198896733002,67.93592871917222,66.03581873433063,64.21734169318613,62.476324186773645,60.808736716781965,59.21069369555391,57.67845344608629,56.20841820202985,54.797134107689295,53.44129121802332,52.137723498644604,50.883408825819764,49.6754689864694,48.51116967816809,47.38792050914437,46.303274998280756,45.254930575113725,44.240728579833736,43.2586542632852,42.306836786966514,41.38354922303004,40.487208554282105,39.61637567418301,38.769755386847024,37.94619640704238,37.144691360191324,36.364376782369995,35.60453312030855,34.86458473139114,34.14409988365583,33.442790755794675,32.76051343715372,32.097267927732965,31.453198138186355,30.828591889821876,30.2238809146014,29.639640855140804,29.076591264709972,28.535595607232686,28.01766125728676,27.523939500103957,27.055725531569976,26.614458458224544,26.20172129726132,25.819240976527944,25.46888833452603,25.152678120411146,24.872768993992853,24.631463525734667,24.431208196754064,24.27459339882252,24.164353434365456,24.103366516462263,24.09465476884633,24.141384225904964,24.246864832679503,24.414550444865213,24.648038828811345,24.95107166152111,25.327534530651704,25.78145693451428,26.317012282073968,26.93851789294987,27.65043499741504,28.457368736396525,29.364068161475338,30.375426234886454,31.496479829518808,32.73240972891533,34.0885406272729,35.57034112944238,37.1834237509286,38.93354491789035,40.82660496714039,42.868648146145496,45.06586261302631,47.42458043655755,49.95127759616788,52.65257398193986,55.535233394610145,58.60616354556922],[121.1843588058223,116.87080956465897,112.74329245161165,108.79489975528969,105.0188676749566,101.40857632052963,97.95754971258029,94.65945578233375,91.50810637166944,88.49745723312054,85.62160802987434,82.87480233577199,80.25142763530867,77.74601532363356,75.35324070654973,73.06792300051428,70.88502533263826,68.79965474068672,66.80706217307862,64.90264248888693,63.08193445783858,61.34062076031447,59.67452798734949,58.07962664063247,56.55203113250622,55.08799978596752,53.68393483466711,52.33638242290977,51.04203260565413,49.79771934851286,48.60042052775261,47.44725793029397,46.33549725371152,45.2625481062338,44.225964006743325,43.22344238477656,42.25282458052397,41.31209584482996,40.39938533919296,39.51296613576528,38.65125521735328,37.81281347741726,36.99634572007148,36.200700660084195,35.42487092287761,34.66799304452789,33.929347471765205,33.208358561973675,32.50459458319138,31.817767714110374,31.147734044076707,30.494493573090367,29.858190211805326,29.239111781529523,28.63769001422487,28.054500552507243,27.490262949646493,26.945840669566433,26.422241086844878,25.920615486713558,25.44225906505821,24.988610928418552,24.56125409398822,24.161915489614877,23.79246595380013,23.454920235699554,23.151436995122694,22.884318802533077,22.656012139048183,22.469107396439473,22.32633887713239,22.230584794206308,22.18486727139461,22.192352343084636,22.256349954317685,22.380313960789042,22.567842128847957,22.822676135497638,23.148701568395282,23.549947925852045,24.030588616833054,24.594940960957413,25.247466188498173,25.992769440382382,26.83559976819106,27.78085013415916,28.833557411175644,29.998902382783427,31.282209743179394,32.68894809721441,34.22472996039329,35.89531175887484,37.706593829471814,39.66462041965099,41.77557968753301,44.04580370189258,46.48176844215839,49.09009379841298,51.877543571393,54.85102547248895],[116.45195392106746,112.25642265917932,108.2447648655976,104.41007282893176,100.74558274844516,97.24467473405522,93.90087280633327,90.70784489650467,87.65940284644869,84.74950240869859,81.97224324644161,79.32186893351894,76.79276695442579,74.37946870431125,72.07664948897848,69.87912852488452,67.78186893914045,65.7799777695113,63.86870596441604,62.04344838292766,60.299743794773065,58.63327488033314,57.03986823064283,55.515494347390906,54.056267642920204,52.65844644022751,51.31843297296356,50.032773385433124,48.798157732594845,47.611419980061385,46.46953800409939,45.36963359162947,44.30897244022619,43.28496415811809,42.29516226418768,41.337264187971435,40.40911126965981,39.50868876009723,38.63412582078209,37.78369552386674,36.955814852157516,36.14904469911472,35.36208986885262,34.59379907613946,33.84316494639745,33.10932401570277,32.39155673078556,31.689287449029955,31.002084438474043,30.329659877809878,29.671869856383484,29.028714374194887,28.400337341898023,27.787026580800863,27.1892138228653,26.60747471070721,26.042528797596454,25.495239547456844,24.966614334866176,24.4578044450562,23.970105073912656,23.504955327975235,23.063938224437603,22.64878069114742,22.261353566606264,21.903671599969737,21.577893451047387,21.286321690302717,21.031402798853232,20.815727168470385,20.6420291015796,20.51318681126028,20.432222421245793,20.402301965923478,20.426735390334645,20.508976550174566,20.652623211792488,20.86141705219164,21.139243659029198,21.490132530616336,21.918257075918163,22.427934614553784,23.023626376796265,23.70993750357265,24.491617046463944,25.373557967705125,26.360797140185134,27.45851534744689,28.67203728368729,30.00683155375718,31.46851067316139,33.06283106805873,34.79569307526194,36.67314094223779,38.70136282710695,40.8866907986441,43.235600836277946,45.75471283009102,48.450790580819984,51.33074179985533],[111.94361013771154,107.86217928729609,103.9625431957408,100.23779415165515,96.68116835430251,93.2860459136003,90.04595085011988,86.95455109508653,84.00565849037956,81.19322878853227,78.51136165273188,75.95430065681956,73.51643328529049,71.19229093329386,68.97654890663271,66.86402642176418,64.84968660579929,62.92863649650309,61.09612704229455,59.347553102246636,57.678453446086294,56.08451075419441,54.56155161760587,53.105546538009506,51.71260992774814,50.379000109818534,49.101119317871465,47.87551369621164,46.69887329979775,45.56803209424246,44.479967955812405,43.43180267142819,42.42080193866437,41.444375365749494,40.500076471566075,39.585602685650606,38.69879534819352,37.83763971003924,37.00026493268618,36.18494408828667,35.39009415964704,34.614276040227615,33.856194534142666,33.11469835616042,32.38878013170308,31.677576396846842,30.980367598321852,30.296578093512217,29.62577615045605,28.967673947845405,28.322127575026308,27.689137031998754,27.06884622941672,26.461542988588146,25.867659041474937,25.287770030692972,24.722595509512107,24.172998941856157,23.639987702302918,23.124713076084138,22.628470259085553,22.152698357846866,21.69898038956174,21.269043282077813,20.864757873896693,20.488138914173977,20.14134506271919,19.826678889995854,19.546586877121477,19.303659415867497,19.100630808659353,18.940379268576446,18.82592691935213,18.760439795373756,18.747227841682637,18.789744913974033,18.891588778597203,19.056501112555374,19.28836750350571,19.591217449759398,19.969224360281544,20.42670555469125,20.968122263261584,21.598079626919592,22.321326697246278,23.14275643647661,24.067405717499547,25.100455323857993,26.24722994974885,27.513198200022973,28.903972590185177,30.425309546394278,32.08310940546301,33.88341641485817,35.8324187327004,37.93644842776438,40.20198147947883,42.635637777926284,45.24418112384337,48.034519228620624],[107.64893390852336,103.67768590177803,99.88623389480998,96.26767017622865,92.81523094529743,89.52229631193372,86.38239029670885,83.38918083084818,80.53647975623096,77.8182428253905,75.228569701514,72.76170395844268,70.4120330806717,68.17408846335022,66.04254541228133,64.01222314392213,62.07808478538366,60.23523737443095,58.478931859482984,56.804563099612764,55.20766986454717,53.68393483466711,52.22918460100751,50.83938966525715,49.51066443975886,48.23926724750944,47.02160032215961,45.85420980801413,44.73378576003168,43.65716214382489,42.62131683566044,41.6233716224589,40.66059220179484,39.73038818189682,38.83031308164735,37.958064330582886,37.111483268893906,36.288555147424816,35.48740912767402,34.70631828179387,33.94369959259069,33.198113953524796,32.46826616871046,31.753004952915894,31.05132293156334,30.362356640728965,29.685386527142924,29.019836948189333,28.365276171906284,27.721416376985836,27.088113652774013,26.46536799927084,25.85332332713025,25.252267457660214,24.662632122822632,24.08499296523337,23.520069538162296,22.968725305533226,22.43196764192394,21.910947832566208,21.406961073345755,20.921446470802277,20.455987042129443,20.012309715174904,19.592285328440248,19.197928631081076,18.83139828290693,18.49499685438132,18.191170826621736,17.92251059139965,17.69175045114048,17.501768618923627,17.355587218482455,17.25637228420431,17.207433761130495,17.21222550495629,17.27434528203094,17.397534769357673,17.58567955459366,17.84280913605007,18.173096922692036,18.580860234138648,19.07056030066297,19.646802263192043,20.31433517330688,21.07805199324245,21.942989595887713,22.914328764785566,23.99739419413291,25.197654488780614,26.520722164233476,27.972353646650323,29.558449272843887,31.285053290280956,33.15835385708218,35.18468304202225,37.37051682452985,39.72247509468756,42.24732165323199,44.951964211553666],[103.55793143808836,99.69294870721069,96.00584316739068,92.48970710723778,89.1377767260154,85.94343213364093,82.90019735068569,80.00174030837505,77.24187284858827,74.61455072385866,72.11387359737341,69.73408504297373,67.46957254515479,65.31486749906577,63.26464521050971,61.313724895943764,59.457069682478945,57.68978660788029,56.00712662056678,54.40448457961141,52.87739925474107,51.42155332633667,50.032773385433124,48.70702993371923,47.44043738353779,46.229254057885626,45.069882190413466,43.95886792542605,42.89290131788206,41.86881633339415,40.883590848228955,39.934346649307074,39.01834943420309,38.13300881114554,37.27587829901693,36.44465532735374,35.637181236346436,34.851441276839424,34.08556461033109,33.337824308973815,32.606637355573916,31.890564643591695,31.188310977141427,30.498725070991338,29.82079955056367,29.153670951934576,28.496619721834207,27.849070217646698,27.21059070741013,26.580893369816568,25.959834294212037,25.34741348059654,24.74377483962404,24.1492061926025,23.5641392714938,22.989149718913826,22.42495708813245,21.872424843073464,21.332560358314673,20.806514919087842,20.29558372127867,19.80120587142689,19.32496438672616,18.868586195024115,18.433942134822367,18.02304695527649,17.638059316196042,17.281281788044538,16.955160851939464,16.662286899652276,16.405394233608412,16.187361066887263,16.0112095232222,15.880105637000565,15.797359353263655,15.76642452770676,15.790898926679121,15.87452422718396,16.021186016878467,16.23491379407379,16.51988096773507,16.8804048574814,17.320946693585835,17.846111616975428,18.460648679231184,19.169450842588077,19.977554979935057,20.890141874815036,21.9125362214249,23.05020662461553,24.30876559989172,25.69396957341229,27.21171888198998,28.86805777309158,30.66917440483773,32.621400846003134,34.731213076016466,37.005230984960306,39.450218373571275,42.073082953239876],[99.66100868280856,95.89837365999603,92.31177696988482,88.8943109010845,85.63921165285839,82.53985933512391,79.58977796845238,76.78263548406916,74.11224372385352,71.57255844033877,69.1576792967121,66.86184986681471,64.67945763514179,62.605033996842494,60.6332542577199,58.75893763423112,56.97704725348718,55.282690153253135,53.67111728194795,52.13772349864461,50.67804757307003,49.287772185605114,47.96272392728474,46.69887329979775,45.49233471548695,44.33936649734913,43.23637087903504,42.1798940048494,41.1666259297509,40.193400619352204,39.25719594991995,38.35513370837472,37.484479592291095,36.642643209897635,35.82717808007683,35.03578163236516,34.26629520695309,33.51670405468502,32.785137337059375,32.06986812622849,31.369313404998685,30.682034066830294,30.006734915837566,29.34226466678875,28.687615945106053,28.041925286865656,27.40447313879771,26.774683858286323,26.152125713369607,25.536510882739613,24.927695455742366,24.32567943237787,23.7306067233001,23.142765149816988,22.562586443890446,21.99064624813635,21.42766411582456,20.87450351087889,20.332171807877124,19.801820292051026,19.28474415928633,18.782382516122727,18.296318379753895,17.82827867802746,17.38013424944504,16.95389984316222,16.551734118988538,16.175939647387512,15.82896290947664,15.513394297027375,15.231968112465147,14.987562568869356,14.783199789973363,14.622045810164515,14.507410574484119,14.442747938627448,14.431655668943753,14.477875442436257,14.58529284676214,14.757937380232564,14.999982451812656,15.315745381121511,15.709687398432202,16.18641364467176,16.7506731714212,17.407358940915497,18.1615078260436,19.018300610348412,19.983061988026833,21.061260563929732,22.258508853561914,23.5805632830822,25.033324189303308,26.622835819692053,28.355286332369065,30.237007796109054,32.27447619034068,34.47431140514652,36.84327724126322,39.38828141008128],[95.9489713509025,92.28476646835256,88.79484101051102,85.47228726598735,82.31034143404496,79.3023836246012,76.44193785822746,73.72267206614907,71.13839809024529,68.68307168304942,66.35079250774865,64.13580413818423,62.032494058851285,60.035393664899,58.13917826213046,56.33866706700276,54.62882320662695,53.00475371876806,51.461709551845054,49.99508556493094,48.60042052775262,47.27339712069098,46.00984193478095,44.80572547171132,43.657162143824905,42.56041027411851,41.511872096242875,40.50809375450274,39.54576530385677,38.62172070991763,37.73293784895197,36.876538507880376,36.04978838427743,35.25009708637166,34.475018133045594,33.722248953835695,32.98963088893243,32.27514918918021,31.576933016077433,30.893255441776454,30.222533449083606,29.563327931459188,28.91434369301747,28.274429448526703,27.642577823409084,27.017925353740804,26.399752486251998,25.787483578326807,25.180686898003305,24.57907462397356,23.982502845583593,23.39097156283343,22.804624686377,22.223750037522272,21.648779348231166,21.08028826111952,20.51899632945722,19.96576701716807,19.421607698829863,18.887669659674362,18.365248095587294,17.855782113108354,17.360854729431207,16.88219287240351,16.421667380526852,15.98129300295683,15.563228399502986,15.169776140628823,14.803382707451856,14.466638491743526,14.162277795929267,13.89317883308848,13.66236372695453,13.472998511914753,13.328393133010465,13.232001445936938,13.187421217043415,13.19839412333313,13.268805752463255,13.402685602744958,13.604207083143361,13.877687513277568,14.227588123420638,14.658514054499614,15.175214358095502,15.78258199644328,16.4856538424319,17.28961067960427,18.19977720215728,19.2216220149418,20.360757633462637,21.622940483878608,23.014070903002448,24.540193138300943,26.207495347894753,28.02230960055856,29.99111187572105,32.120522063464804,34.417303964526425,36.88836529029645],[92.4130249024054,88.84333259231552,85.44624074930444,82.21484166198155,79.14237152961032,76.22221046210805,73.44788248004616,70.81305551464996,68.31154140779873,65.93729591202575,63.68441869051826,61.547153317117406,59.51988727631842,57.59715196327045,55.77362268377656,54.04411865429386,52.403603001933405,50.847182764460214,49.37010889029327,47.967776238505564,46.635723578824,45.36963359162947,44.165332867956906,43.01879190949508,41.92612512858683,40.883590848228955,39.88759130207219,38.934672634421254,38.02152490023485,37.14498206512564,36.30202200536024,35.48976650785927,34.705481270197296,33.946575900602845,33.21060391795845,32.495262751800574,31.798393742319682,31.117982140360187,30.452157107420483,29.799191715652928,29.157502947863854,28.525651697513563,27.90234276871633,27.28642487624038,26.676890645507946,26.072876612595195,25.473663224232265,24.878674837803302,24.287479721346386,23.699790053553578,23.1154619237709,22.53449533199836,21.95703418888992,21.38336631575354,20.81392344455111,20.249281217898506,19.690159189065604,19.13742082197619,18.592073491208076,18.055268481993025,17.52830099021674,17.012610122418945,16.5097788957933,16.021534238187446,15.549746988102992,15.096431894695515,14.663747617774565,14.25399672780366,13.86962570590029,13.513224943835912,13.187528744035959,12.895415319579822,12.639906794200874,12.424169202286457,12.251512488877868,12.125390509670398,12.04940103101329,12.027285729909757,12.062930194016996,12.160363921646157,12.323760321762371,12.55743671398474,12.865854328586323,13.253618306494161,13.72547769928927,14.286325469206613,14.941198489135148,15.695277542617784,16.553887323851413,17.5224964376869,18.606717399629055,19.81230663583669,21.145164483122564,22.611335188953426,24.21700691144995,25.96851171938684,27.87232559219276,29.935068419950287,32.16350400339604,34.56454005392054],[89.04477454916895,85.56567724373667,82.25758139811683,79.11357930091887,76.12690715140619,73.2909450594962,70.59921704576021,68.0453910414236,65.6232788883656,63.32683633911954,61.15016305687262,59.08750261546605,57.13324249939498,55.28191410380858,53.52819273450995,51.86689760795618,50.29299185125831,48.80158250218138,47.38792050914437,46.04740073122024,44.775561938135944,43.56808681027236,42.42080193866437,41.32967782500081,40.2908288816245,39.30051343153222,38.3551337083747,37.45123585645672,36.58550993073692,35.75478989682796,34.9560536309965,34.186422920163125,33.44316346190242,32.723684864442916,32.02554064666712,31.346428238111518,30.684188978966564,30.03680812007666,29.402414822940244,28.77928215970963,28.16582711319116,27.560610576845146,26.962337354785856,26.369856161781527,25.78215962325437,25.19838427528056,24.617810564590258,24.039862848567576,23.46410939525061,22.890262383331418,22.318177902156027,21.74785595172444,21.17944044269063,20.61321919636253,20.049623944702052,19.489230330325082,18.932757906501458,18.381070137155,17.83517439686352,17.296221970858753,16.765508055026427,16.244471755906268,15.734696090691912,15.23790798723102,14.755978284025195,14.290921730230016,13.844896985655032,13.420206620763759,13.01929711667369,12.644758865156279,12.299326168636961,11.985877240195126,11.70743420356415,11.46716309313137,11.268373853938085,11.114520341679588,11.009200322705121,10.956155474017894,10.959271383275109,11.022577548787915,11.150247379521439,11.346598195094785,11.616091225781012,11.963331612507163,12.393068406854253,12.910194571057243,13.519746978005095,14.226906411240716,15.036997564960991,15.955489044016797,16.987993363912942,18.14026695080823,19.418210141515416,20.82786718350127,22.37542623488645,24.067219364445663,25.909722551607572,27.90955568645475,30.073482569723826,32.40841091280532],[85.83622525486155,82.44380538628434,79.22086792061654,76.1605051464676,73.25595326310095,70.50059238043394,67.88794651903795,65.4116836101383,63.06561549561426,60.84369792799913,58.740030570480144,56.74885699689845,54.86456469174928,53.08168505018177,51.39489337799898,49.799008891658055,48.288994718270004,46.859957895599884,45.50714937206666,44.225964006743325,43.01194056935678,41.86076174028793,40.768254110571675,39.73038818189683,38.74327836660621,37.80318298769661,36.90650427881877,36.04978838427743,35.22972535903126,34.44314916869293,33.68703768952907,32.95851270846029,32.25483992306115,31.573428941560195,30.91183328283994,30.267750376436865,29.639021562541416,29.023632091998017,28.419711126305064,27.825531737614913,27.239510908733894,26.66020953312231,26.086332414894432,25.516728268818486,24.950389720316714,24.386453305465277,23.824199470994312,23.263052574287965,22.702580883384314,22.14249657697542,21.58265574440732,21.023058385680002,20.463848411447433,19.90531364301758,19.347885812352324,18.792140562067548,18.238797445433125,17.68871992637284,17.14291537946451,16.60253508993989,16.068874253684694,15.543371977238643,15.027611277795383,14.523319083202573,14.032366231961808,13.556767473228676,13.098681466812723,12.660410783177467,12.244401903440396,11.853245219372967,11.48967503340062,11.156569558602737,10.856950918712693,10.593985148117834,10.370982191859454,10.191395905632847,10.05882405578725,9.977008319325881,9.949834283905934,9.981331447838565,10.075673220088898,10.237176920276038,10.470303778673042,10.779658936206953,11.169991444458788,11.64619426566351,12.213304272710074,12.876502249141392,13.64111288915435,14.512604797599822,15.496590489982616,16.59882639246154,17.825212841849343,19.1817940856128,20.674758281872574,22.310437499403353,24.09530771763381,26.035988826646538,28.139244627178133,30.41198283061913],[82.7797817349681,79.47012173544343,76.32850503228848,73.3480239141127,70.5219145801795,67.84355714040623,65.30647561536429,62.904337936279,60.63095594502962,58.48028539414945,56.4464259468257,54.523621176899574,52.70625856886626,50.98886951787488,49.36612932972857,47.8328572208844,46.38401631845341,45.014713660200655,43.7202001945451,42.49587078055971,41.337264187971435,40.240063097161155,39.200094099163756,38.21332769566808,37.27587829901693,36.3840042322071,35.534107728889325,34.72273493336835,33.946575900602845,33.20246459620548,32.487378896442884,31.798440588235678,31.132915369158408,30.48821284743963,29.861886541961844,29.251633882261544,28.655296208529172,28.07085877160914,27.49645073299987,26.930345164853694,26.370959049976943,25.81685328182994,25.266732664526938,24.719445912836182,24.173985652179887,23.629488418634224,23.085234658929352,22.540648730449387,21.99529890123242,21.448897349970512,20.90130016600969,20.35250734934996,19.802662810645288,19.252054371203613,18.701113762986846,18.150416628610866,17.600682521345522,17.05277490511463,16.507701154496,15.966612554721367,15.430804301676462,14.901715501901,14.380929172588637,13.870172241587019,13.371315547397753,12.886373839176416,12.41750577673256,11.967013930529701,11.537344781685329,11.1310887219709,10.750980053811851,10.39989699028757,10.080861655131429,9.79704008273077,9.551742218126895,9.34842191701509,9.190676945744599,9.082248981318635,9.027023611394396,9.029030334283032,9.092442558949672,9.221577605013422,9.420896702747335,9.695004993078458,10.048651527587804,10.486729268510336,11.014275088735012,11.636469771804741,12.358638011916415,13.1862484139209,14.124913493323008,15.180389676281546,16.35857729960927,17.66552061077294,19.107407767893232,20.690570839744833,22.42148580575642,24.306772556010554,26.353194891243874,28.567660522846896],[79.86824845679013,76.63743075851549,73.5732972004342,70.66894007115567,67.91759556994336,65.3126438067146,62.84760880204078,60.51615848714722,58.31210470391319,56.22940320487199,54.26215365321083,52.40459962277092,50.65112859804743,48.9962719741895,47.43470505700024,45.96124706293674,44.570861119110056,43.2586542632852,42.01987744388118,40.84992551997093,39.74433726128142,38.69879534819352,37.709126371742116,36.77130083361606,35.881433146158145,35.03578163236516,34.23074852588785,33.462879971030965,32.72886602275317,32.02554064666712,31.349881719039466,30.699011026790807,30.07019426749571,29.46084104938272,28.868504891334343,28.290883222887064,27.72581738423133,27.17129262621156,26.625438110326165,26.086526908727485,25.552976004221843,25.02334629026957,24.49634257098491,23.970813561136122,23.445751886145406,22.92029408208894,22.393720595696884,21.865455784353355,21.335067916096435,20.802269169618196,20.266915634264663,19.72900731003583,19.18868810758568,18.64624584822214,18.102112263907127,17.55686299725652,17.011217601540167,16.466039540681884,15.92233618925947,15.381258832504683,14.844102666303236,14.312306797194852,13.78745424237318,13.271271929685874,12.765630697634535,12.272545295374744,11.79417438271605,11.332820530121973,10.89093021871,10.471093840251585,10.076045697172168,9.708664002551139,9.371970880121864,9.069132364271692,8.803458400041917,8.578402843127833,8.397563459878679,8.26468192729767,8.183643833042002,8.158478675422826,8.193359863405274,8.292604716608446,8.460674465305402,8.702174250423182,9.021853123542803,9.424604046899228,9.915463893381416,10.499613446532276,11.182377400548694,11.96922436028154,12.86576684123563,13.877761269569767,15.011107982096705,16.27185122628321,17.66617916024995,19.200423852771625,20.881061283276885,22.714711341848332,24.708137829222572,26.86824845679013],[77.09482963944568,73.93893667461856,70.9484486441717,68.11645783671457,65.43620045151059,62.90105659847708,60.50455029818545,58.24034948186101,56.10226599138304,54.08425557928483,52.180417908753604,50.38499655363054,48.69237899841083,47.09709663824365,45.59382477893204,44.17738263693314,42.84273333935798,41.58498392397159,40.399385339192946,39.28133244409505,38.22636400840479,37.23016271250309,36.28855514742483,35.39751181485884,34.55314712714791,33.75171940728886,32.98963088893243,32.26342771638334,31.569799944600277,30.905581539195907,30.267750376436865,29.653428243243745,29.05988083719112,28.484517766507537,27.9248925500755,27.378702617431497,26.843789308765974,26.318137874923355,25.799877477402028,25.287281188354356,24.77876599058667,24.272892777559274,23.76836635338643,23.264035432836376,22.75889264133135,22.252074514947502,21.74286150041499,21.230677955117937,20.71509214709444,20.195816255036547,19.6727063682903,19.145762486855688,18.61512852138668,18.081092293191237,17.544085534231243,17.00468388712259,16.46360690513513,15.921718052192665,15.38002470287301,14.839678142407914,14.301973566683092,13.768350082238268,13.24039070626709,12.71982236661721,12.208515901790232,11.70848606094174,11.221891503881274,10.751034801072358,10.298362433632482,9.866464793333098,9.458076182599646,9.076074814511516,8.723482812802073,8.40346621185867,8.119334956722597,7.8745429030891465,7.672687817307561,7.517511376381054,7.412899167966825,7.36288069037602,7.371629352573773,7.443462474179184,7.582841285465313,7.794370927359201,8.082800451441862,8.453022819948263,8.91007490576736,9.45913749244206,10.10553527416926,10.854736855799818,11.712354752838552,12.684145391444268,13.776009108429719,14.993990151261672,16.344276678060794,17.833200757601777,19.46723836931329,21.25300940327792,23.197277660232277,25.30695085156689],[74.45312925386943,71.36824345468732,68.44756333443573,65.6841811817241,63.07133319581585,60.60239948662836,58.27090407473298,56.07051489135505,53.99504377837384,52.03844648832264,50.19482268438866,48.45841594041312,46.82361374089118,45.284947480971994,43.837092466458664,42.474867913808275,41.193236950131876,39.9873066131945,38.85232785141513,37.78369552386674,36.776948400276254,35.82776916102457,34.93198439714657,34.08556461033109,33.284624212920946,32.52542152791292,31.80435878895775,31.117982140360187,30.462981637078897,29.83619124472654,29.234588839569767,28.655296208529172,28.09557904917932,27.55284696974876,27.02465348912,26.50869603682952,26.002815953067774,25.504998488679174,25.01337280516213,24.52621197466899,24.041932980006074,23.559096714633704,23.07640798266614,22.59271549887163,22.107011888672375,21.618433688144556,21.12626134401833,20.629919213677816,20.128975565161102,19.623142577160245,19.112276339021278,18.596376850744207,18.07558802298299,17.550197677045578,17.020637544893873,16.487483269143755,15.951454403065084,15.413414410581662,14.874370666271297,14.33547445536574,13.79802097375071,13.263449327965928,12.733342535205042,12.209427523315705,11.693575130799521,11.187800106812071,10.694261111162902,10.21526071431553,9.75324539738745,9.310805552150116,8.890675481028962,8.495733397103379,8.129001424106736,7.793645596426381,7.492975859103607,7.230446067833709,7.009653988965925,6.83434129950347,6.708393587103542,6.635840350077292,6.6208549973898485,6.667754848660313,6.781001134161747,6.965198994821192,7.22509748221966,7.565589558592118,7.991712096827522,8.508645880468782,9.121715603712786,9.836389871410406,10.65828119906645,11.593146012839727,12.64688464954299,13.825541356643004,15.135304292260438,16.582505525169985,18.173621034800313,19.915270711234008,21.81421835520768,23.877371678111857],[71.93715102281264,68.91935482147302,66.06464499397748,63.36611382893548,60.81699752561043,58.4106761939197,56.14067385443465,54.00065843838061,51.984441787636854,50.08597965473669,48.29937170286732,46.61886150586992,45.038836548239715,43.553828225125834,42.15851184233135,40.847706616313396,39.61637567418299,38.459626053705186,37.37270870329895,36.351018482037254,35.39009415964704,34.48561841650918,33.6334178436586,32.82946294278409,32.06986812622847,31.350891716988542,30.668935948715053,30.020546965712718,29.402414822940234,28.811373486010257,28.244400831189427,27.698618645398337,27.17129262621156,26.659832381857644,26.16179143121909,25.674867203832388,25.196901039887983,24.7258781902303,24.25992781635773,23.797322990422632,23.336480695231337,22.875961824244147,22.414471181575337,21.950857481993125,21.48411335091976,21.013375324431397,20.537923849258178,20.05718328278424,19.57072189304768,19.07825185874054,18.57962926920886,18.07485412445264,17.56407033512584,17.04756572253642,16.52577201864627,15.999264866071272,15.468763818081287,14.93513233860012,14.399377802205578,13.862651494129413,13.32624861025734,12.791608257129083,12.260313451938288,11.734091122532611,11.214812107413653,10.704491155736997,10.205286927312189,9.719501992602746,9.249582832726162,8.79811983945389,8.367847315211366,7.96164347307798,7.582530436787102,7.233674240726079,6.918384829936204,6.640116060112772,6.402465697605022,6.209175419416168,6.064130813203408,5.971361377277892,5.935040520604752,5.959485562803087,6.049157734145958,6.2086621755604074,6.442747938627447,6.756307985582044,7.154379189313154,7.6421423333636875,8.224922111930532,8.90818712986456,9.697549902670577,10.598766856507398,11.61773832818777,12.760508565178462,14.03326572560014,15.442341878227499,16.994213002489204,18.695498988467843,20.552963636900028,22.573514659176283],[69.54129842084318,66.58667424954352,63.79409709736485,61.15665925291659,58.66759691546216,56.32029019491894,54.10826311185829,52.025183597505524,50.06486349373993,48.22125855309479,46.48846843875736,44.86073672456878,43.332450895024266,41.89814234527296,40.55248638111795,39.29030221901634,38.10655298607917,36.99634572007148,35.95493136941225,34.977704793174446,34.06020476108499,33.198113953524796,32.38725896152874,31.623610286785645,30.90328234163834,30.222533449083606,29.577765842772187,28.96552566700881,28.382502976752164,27.825531737614913,27.29158982586369,26.777799028419086,26.28142504285569,25.799877477402028,25.330709850940618,24.871619593007946,24.42044804379445,23.975180454144557,23.533945985556674,23.095017710183136,22.65681261083028,22.21789158095842,21.77695942468182,21.332864856768715,20.884600502641323,20.431302898375826,19.972252490702363,19.506873637005057,19.034734605322008,18.55554757434527,18.069168633420876,17.575597782548826,17.07497893238308,16.567599904231592,16.053892430056266,15.534432152472972,15.009938624751575,14.481275310815885,13.949449585243697,13.415612733266768,12.881059950770826,12.347230344295571,11.815706931034669,11.28821663883577,10.766630306200467,10.252962682284355,9.749372426896977,9.258162110501841,8.781778214216454,8.322811129812258,7.8839951597146944,7.468208517003159,7.078473325411011,6.717955619325599,6.389965343788227,6.097956354494174,5.845526417792689,5.6364172106869885,5.47451432083426,5.363847246545662,5.308589396786324,5.313058091175341,5.381714559985783,5.519163944144686,5.73015529523306,6.019581575485878,6.3924796577920935,6.854030325694616,7.409558273390335,8.064532105730118,8.824564338218776,9.695411397015121,10.682973618931902,11.793295251435882,13.032564452647739,14.407113291342155,15.923417746947806,17.58809770954727,19.407916979877164,21.389783269328017],[67.26037467434541,64.36500496528322,61.630722870982204,59.05062068005181,56.61793459175545,54.326044716010486,52.168475073388294,50.1388935951142,48.231112123067476,46.43908640978141,44.75691611844323,43.17884482289412,41.69926000762927,40.312693067797824,39.01381930920289,37.79745794830155,36.65857211220485,35.592268838677825,34.59379907613946,33.65855768366272,32.782083430974545,31.960058998455818,31.188310977141427,30.462809868720207,29.779670085534974,29.13514995058251,28.525651697513556,27.94772147063286,27.398049324899088,26.873469225924904,26.37095904997695,25.887640583975827,25.4207795254961,24.96778548276632,24.52621197466899,24.093756430740587,23.668260191171573,23.247708506806358,22.83023053914335,22.414099360334895,21.99773195318732,21.57968921116094,21.158675938370017,20.7335408495828,20.30327657022149,19.86701963636227,19.424050494735294,18.973793502724675,18.515816928368515,18.049832950358862,17.57569765804175,17.093411051417185,16.603117041139125,16.105103448515525,15.59980200550828,15.087788354733275,14.569782049460368,14.046646553613362,13.519389241770066,12.989161399162228,12.45725822167557,11.92511881584981,11.394326198878598,10.866607298609589,10.343832953544382,9.828017912838561,9.321320836301673,8.826044294397235,8.344634768242742,7.879682649609641,7.433922240923374,7.010231755263331,6.611633316362879,6.241292958609366,5.902520627044088,5.598770177362335,5.333639375913349,5.110869899700343,4.934347336380516,4.808101184265017,4.736304852318979,4.723275660161499,4.773474838065641,4.891507526958446,5.082122778420922,5.350213554688043,5.700816728648761,6.139113083845987,6.67042731447661,7.3002280253914975,8.034127732095461,8.877882860747311,9.837393748159798,10.918704641799687,12.128003699787648,13.471622990898375,14.95603849456053,16.587870100856705,18.37388161052351,20.320980734951476],[65.08958276152038,62.249549946893126,59.56972529303057,57.04320108854216,54.66321353269129,52.423142735395345,50.31651271722569,48.33699140940764,46.478390653820476,44.734666202997495,43.09991772012592,41.56838877904693,40.134466864255714,38.79268337090143,37.53771360478714,36.36437678236999,35.26763603076099,34.242598387725195,33.28451480168155,32.38878013170308,31.55093314751667,30.766656529503223,30.031776868697648,29.34226466678875,28.694234336119347,28.08394419968624,27.50779649114017,26.962337354785856,26.444256845581993,25.95038892914124,25.477711481730232,25.02334629026957,24.58455905233382,24.15875937615153,23.74350078060521,23.336480695231337,22.93554046022037,22.538665326416726,22.143984455318787,21.749770919078927,21.354441700503475,20.956557693052723,20.554823700840956,20.14808843863639,19.73534453186127,19.315728516591747,18.888520839557984,18.4531458581441,18.009171840388188,17.556310964982302,17.094419321272476,16.623496909258712,16.143687639594972,15.655279333589206,15.158703723203317,14.654536451053184,14.143497070408664,13.626449045193562,13.104399749985689,12.57850047001679,12.050046401172589,11.520476649992801,10.99137423367108,10.464466080055079,9.941623027646397,9.424859825600619,8.916335133727289,8.418351522489926,7.933355473006025,7.463937377047035,7.012831537038396,6.582916166059499,6.177213387843708,5.798889236778374,5.451253657904791,5.1377605069182515,4.862007550167997,4.627736464657238,4.438832838043176,4.299326168636958,4.21338986540372,4.185341247962555,4.21964154658653,4.320895902202684,4.493853366392028,4.743406901389534,5.074593380084154,5.492593586018799,6.002732213390358,6.610477867049697,7.321443062501633,8.14138422590497,9.076201694072461,10.131939714470871,11.31478644522087,12.631073955097152,14.087278223528383,15.690019140597146,17.44606050704006,19.362310034247646],[63.02452541238564,60.235911924390834,57.60670709352755,55.130003208405235,52.7990364682873,50.60718698309112,48.54797877338805,46.61507977040343,44.80230181601654,43.103600662760655,41.513075973823014,40.02497132304479,38.63367419492117,37.33371598460133,36.11977199788832,34.986661451239264,33.929347471765205,32.94293709723117,32.02268127605615,31.163974867313105,30.36235664072897,29.61350927668464,28.91325936621499,28.25757741100887,27.642577823409084,27.06451892641242,26.51980295366962,26.004976049485418,25.516728268818493,25.05189357728152,24.60744985114112,24.1805188773179,23.76836635338643,23.368401887575253,22.97817899876688,22.595395116497784,22.217891580958426,21.843653642993218,21.470810464100573,21.097635116432826,20.72254458279631,20.344099756651342,19.961005442112185,19.572110353947078,19.176407117578233,18.77303226908183,18.36126625518802,17.940533433280915,17.51040207139862,17.070584348233186,16.620936353130645,16.161458086091,15.692293457768212,15.21373028947023,14.726200313158966,14.230279171450286,13.72668641761405,13.216285515574077,12.700083839908153,12.179232675848041,11.655027219279468,11.128906576742134,10.602453765429702,10.077395713189828,9.555603258524098,9.039091150588114,8.530018049191412,8.030686524797504,7.543543058523897,7.071178042142033,6.616325778077352,6.18186447940925,5.770816269871088,5.386347183850212,5.0317671663879295,4.710530073179515,4.426233670574222,4.1826196355752625,3.9835735558398286,3.8331249296790753,3.7354471660581337,3.6948575845961,3.7158174155660406,3.8029317998949943,3.96094978916397,4.194764345607943,4.509412342115862,4.9100745622306405,5.402075700149169,5.990884360722309,6.6821130594548785,7.481518222505684,8.39500018668748,9.428603199467025,10.588515418964995,11.881068913956081,13.31273966386895,14.890147558786184,16.6200563994444,18.509373897234124],[61.061205108775376,58.32009337961048,55.73767075430726,53.307029521475165,51.02140588037759,48.87417994093194,46.85887572370954,44.96916115993574,43.19884809148983,41.54189227090507,39.99239336136869,38.54459493672189,37.192884481459856,35.93179339073171,34.75599697034058,33.660314436743555,32.63970891705167,31.689287449029955,30.8043009810974,29.980144372326986,29.212356392445617,28.496619721834207,27.828760951527645,27.204750583214746,26.620703029238328,26.072876612595184,25.557673566936057,25.071640036565682,24.611466076442742,24.173985652179883,23.756176640043762,23.35516082695497,22.96820391048808,22.59271549887163,22.22624911098813,21.86650217637407,21.51131603521989,21.15867593837002,20.806711047322846,20.453694434230734,20.098043081900006,19.73831788379097,19.373223644017894,19.00160907734902,18.622466809206557,18.23493337566669,17.83828922345956,17.431958709969294,17.015510103233982,16.588655581945684,16.151251235450424,15.703297063748217,15.244936977493012,14.776458797992767,14.298294257209388,13.811018997758746,13.315352572910696,12.81215844658906,12.302443993371625,11.787360498490152,11.268203157830367,10.746411077931972,10.223567275988632,9.701398679847996,9.181776128011656,8.666714369635212,8.158372064528201,7.659051783154135,7.17120000663052,6.697407126728798,6.24040744587441,5.803079177146751,5.388444444279181,4.999669281659051,4.64006363432766,4.313081357980292,4.022320218966192,3.7715218942885778,3.5645719716046402,3.405499949225533,3.2984792361163877,3.2478271518963,3.258004926838338,3.3336177018695397,3.479414528570913,3.700288369177434,4.001276096578051,4.387558494315679,4.864460256587206,5.437449988243497,6.112140204789366,6.894287332383622,7.789791707839018,8.804697578622314,9.945193102854187,11.217610349309325,12.628425297416396,14.184257837257984,15.891871769570704,17.75817480574508],[59.19602408434035,56.49849654620287,53.95901850902051,51.57068226140275,49.32672400261298,47.220523842568596,45.24560580184094,43.39563781165534,41.664431713891084,40.04594326108146,38.53427211641369,37.123661853728954,35.80849995752245,34.583317822943336,33.44279075579467,32.38173797253358,31.395122600271097,30.47805167677226,29.62577615045605,28.833690880395437,28.09733463631735,27.412390098602685,26.774683858286323,26.1801864170571,25.625012187257834,25.1054194918853,24.617810564590258,24.158731549677423,23.72487250210549,23.31306738748712,22.92029408208894,22.54367437283156,22.180473957289554,21.828102443691446,21.48411335091976,21.14620410851098,20.812216056655547,20.48013444619788,20.148088438636396,19.814351106123432,19.47733943146531,19.135614308122356,18.787880540208832,18.432986842492973,18.069925840396994,17.697834069997075,17.315991978023362,16.92382392185998,16.52089816954502,16.10692689977054,15.681766201882564,15.245416075881108,14.798020432420124,14.339867092807566,13.87138778900534,13.393158163629316,12.905897769949355,12.410470071889272,11.907882444026857,11.399286171593873,10.885976450476043,10.369392387213072,9.851116998998618,9.332877213680339,8.816543869759823,8.304131716392668,7.797799413388416,7.2998495312105725,6.812728550976648,6.339026864458085,5.881478774080322,5.442962492922754,5.026500144718744,4.635257763855639,4.2725452953747425,3.9418165949713337,3.646669428994662,3.390845474447941,3.178230318988364,3.012853460927085,2.898888309229235,2.8406521835139094,2.8426063140541764,2.909355841777074,3.0456498182636107,3.2563812057487613,3.5465868771214764,3.9214476159246674,4.386288116355226,4.9465769832640145,5.60792673215585,6.376093789189538,7.256978491177833,8.256625085587496,9.3812217305392,10.637100494807639,12.030737357821478,13.568752209663298,15.25790885106972,17.10511499343126],[57.42578432454789,54.76792340963528,52.2675523431346,49.917763413655294,47.71179282046076,45.64302067346839,43.704970993249546,41.891311711029545,40.19585466868766,38.6125556187572,37.13551422442536,35.75897405953336,34.477322608576365,33.28509126670352,32.176955339717935,31.147734044076707,30.19239050689087,29.306031765925457,28.48390876959945,27.721416376985836,27.014093357811525,26.35762239245741,25.7478300719584,25.180686898003305,24.65230728293494,24.1589495497501,23.697015932099536,23.263052574287965,22.853749531274076,22.465940768670535,22.096604162743972,21.74286150041499,21.401978479258155,21.07136470750201,20.748573704029074,20.431302898375826,20.11739363073271,19.804831151944143,19.491744623508534,19.176407117578233,18.857235616959564,18.532791015112842,18.201778116152333,17.863045634846276,17.515586196616876,17.158536337540323,16.791176504346765,16.41293105442032,16.023368255799074,15.622200287175094,15.209283237894407,14.78461710795702,14.348345808016886,13.900757159381966,13.44228289401416,12.973498654529335,12.495123994197362,12.008022376942048,11.513201177341188,11.011811680626543,10.50514908268383,9.994652490052763,9.481904919927004,8.968633300154194,8.456708469235934,7.94814517632782,7.445102081239387,6.949881754434154,6.46493067702962,5.9928392407972275,5.536341748162424,5.098316412204598,4.681785356657111,4.289914615907316,3.926014134996509,3.5935377696199775,3.296083286126965,3.0373923615206864,2.821350583458336,2.651987450251067,2.5334763708640113,2.4701346649162628,2.4664235626808915,2.5269482050849335,2.6564576437093983,2.8598448407892603,3.142146669213471,3.5085439125249422,3.964361264920563,4.515067331251197,5.166274627021663,5.923739578390764,6.793362522171257,7.781187705829899,8.89340328748737,10.136341335918356,11.516477830551525,13.040432661469461,14.714969629408781,16.54699644576001],[55.74768756668191,53.12557570719167,50.66047399393346,48.34547471551673,46.17381407120487,44.13887217091528,42.2341730352193,40.45338459534227,38.79031869316348,37.23893108121618,35.793321422687626,34.447733291419,33.196554171905476,32.03431545929621,30.955692459394307,29.955504388656845,29.028714374194887,28.170429453773455,27.37590057581152,26.640522599382084,25.959834294212047,25.329518340682313,24.745401329827782,24.20345376333726,23.699790053553578,23.230668523473515,22.79249140674782,22.381804847681238,21.995298901232427,21.629807533014056,21.28230861929277,20.94992394698917,20.629919213677816,20.319704027587257,20.0168319076,19.719000283252527,19.424050494735294,19.129967792892714,18.834881339223188,18.53706420587907,18.23493337566669,17.927049742046346,17.61211810913232,17.288987191692847,16.95664961515013,16.61424191558036,16.261044539713687,15.89648184493422,15.520122099280062,15.131677481443269,14.731004080769864,14.318101897259861,13.893114841567215,13.456330734999877,13.008181309519756,12.549242207742724,12.080232982938634,11.60201709903131,11.115601930598537,10.622138762872076,10.122922791737654,9.619393123734975,9.113132776057698,8.605868676553479,8.099471663723907,7.595956486724581,7.09748180536504,6.6063501901087935,6.125008122073349,5.6560459930301485,5.202198105404634,4.766342672276197,4.351501817378202,3.9608415750979975,3.5976718904768816,3.2654466192101412,2.96776352764702,2.7083642927907334,2.4911345022984754,2.320103654481399,2.199445158304635,2.1334763333872795,2.126658410002401,2.1835965290770365,2.309039742192195,2.5078810115828514,2.785157210137956,3.146049121400421,3.595881439567137,4.140122769488967,4.784385626670726,5.5344264372712235,6.396145538103211,7.37558717663345,8.478939510982617,9.712534609925399,11.082848452890465,12.5965009299604,14.260255841871816,16.081020900015243],[54.159335299842915,51.569054927972545,49.135384950517604,46.85141765608756,44.71038924394581,42.70567982400974,40.83081341685071,39.07945795369404,37.445425276419,35.9226711375589,34.505295200300964,33.18754103848635,31.96379613661027,30.828591889821876,29.77660360392424,28.80265049537448,27.901695691283628,27.06884622941672,26.299353058192743,25.58861103668466,24.9321589346194,24.32567943237787,23.76499912099494,23.246088502159456,22.765061988214224,22.318177902156027,21.90183847763562,21.512589858957725,21.147122101081028,20.802269169618196,20.47500894083586,20.162463201654617,19.861897649649052,19.570721893047686,19.286489450733043,19.006897752241603,18.72978813776382,18.4531458581441,18.175100074880856,17.893923860126435,17.60803419668717,17.315991978023362,17.016502008249283,16.708413002133174,16.390717585097246,16.062552293217678,15.723197573224617,15.372077782502188,15.008761189088482,14.632959971675554,14.244530219609437,13.843471932890136,13.429929022171606,13.004189308761806,12.566684524622636,12.117990312369972,11.658826225273671,11.19005572725755,10.712686192899394,10.227868907430972,9.736899066738005,9.241215777360196,8.742402056491207,8.24218483197869,7.742434942324241,7.2451671366834525,6.752540074865868,6.266856327334992,5.790562375208337,5.326248610257342,4.87664933490745,4.444642762238052,4.033251015982515,3.6456401305281823,3.2851200509163565,2.955144632842323,2.659311642655325,2.4013627573585796,2.185183564609279,2.014803562718577,1.8943961606516044,1.8282786780274574,1.8209123451192037,1.876902302853881,2.000997602812498,2.1980912072300303,2.4732199889954276,2.8315647316516017,3.278450129395444,3.819344787077817,4.459861220203537,5.205755854931411,6.062929028074192,7.0374249870986425,8.135431890125437,9.363281805929264,10.72745071393879,12.234558504236604,13.891368977559315,15.704789845297453],[52.65872876494797,50.09636231289495,47.690286453804084,45.433593476284855,43.319519579600644,41.34144487366886,39.49289337906084,37.7675330270019,36.15917565937136,34.66177702870247,33.26943679818246,31.976398541652543,30.777049743607876,29.665921799197616,28.637690014224866,27.687173605146718,26.809335699074214,25.99928333377239,25.252267457660214,24.563682929810682,23.929068519950707,23.344106908461182,22.804624686377007,22.306592355387004,21.846124327833973,21.419478926714728,21.023058385680002,20.653408849034516,20.307220371736967,19.98132691940002,19.6727063682903,19.378480505328408,19.095915028088918,18.82241954480037,18.555547574345276,18.29299654626012,18.032607800735352,17.77236658861538,17.510402071398623,17.244987321237417,16.9745393209381,16.697618963960977,16.41293105442032,16.11932430708436,15.815791347375313,15.501468711369363,15.175636845796653,14.83772010804131,14.48728676614142,14.124048998789045,13.747862895330211,13.358728455764929,12.956789590747153,12.542334121584837,12.115793780239887,11.677744209328175,11.228904962119561,10.770139502537855,10.302455205160856,9.82700335522032,9.345079148601968,8.858121691845515,8.367714002144616,7.875583007346918,7.3835995459540245,6.893778367121524,6.408278130658957,5.929401407029838,5.45959467735167,5.001448333395896,4.557696677587959,4.1312179230072505,3.7250341933871343,3.3423115231149576,2.9863598572320207,2.6606330514336096,2.3687288720689685,2.1143889961413125,1.9014990113078345,1.734088415879689,1.6163306188220066,1.5525429397538826,1.5471866089483863,1.6048667673325538,1.7303324664873951,1.9284766686478845,2.2043362467029723,2.563091984195572,3.0100685753225718,3.5507346249348357,4.19070264853718,4.935729072288414,5.791714233001287,6.7647023781425615,7.860881665832915,9.086584164847036,10.448285854613589,11.952606625215159,13.606310277388365,15.41630452252373],[51.24426895473077,48.70589885469257,46.32357949652659,44.090403168842286,41.999606070903056,40.044568312626296,38.21881391458336,36.51601080799956,34.92997083475419,33.45464974738053,32.08414720906581,30.812706793651213,29.634715985631928,28.544706180157107,27.53735268302983,26.60747471070721,25.750035390300287,24.96014175957409,24.2330447669476,23.5641392714938,22.948964042939604,22.383201761665912,21.86267901870762,21.38336631575354,20.9413780651465,20.53297258988328,20.154552123614636,19.802662810645284,19.473994705933922,19.165381775093202,18.873801894389764,18.596376850744207,18.3303723417311,18.073197975578985,17.822407271170377,17.575697658041754,17.330910476383565,17.086030977040235,16.839188321510157,16.588655581945684,16.33284974115315,16.070331692592863,15.799806240379088,15.520122099280059,15.230271894718001,14.929392162769084,14.616763350163456,14.291809814285248,13.954099823172543,13.603345555517404,13.239403100665859,12.862272458617907,12.47209754002752,12.069166166202638,11.653910069105173,11.226904891350998,10.788870186209968,10.340669417605897,9.883309960116584,9.417943098973787,8.94586403006322,8.468511859924604,7.987469605751588,7.504464195391828,7.0213664673469225,6.540191170772457,6.0630969654779765,5.592386421926997,5.130506021237014,4.680046155179479,4.243741126179829,3.824469147317458,3.425252342325729,3.0492567455919906,2.6997923021575416,2.380312867717669,2.094416208621616,1.845844001872598,1.6384818351278085,1.4763592066984015,1.3636495255495078,1.304670111300223,1.3038821942236154,1.3658909152467222,1.4954453259505525,1.6974383885700814,1.9769069759942592,2.3390318717659975,2.7891377700821876,3.3326932757936913,3.9753109044053265,4.722747082075899,5.580902145618163,6.555820342498878,7.653689830838721,8.880842679412382,10.243754867648526,11.74904628562974,13.403480734092636,15.213965924427741],[49.91475661374155,47.39646529791566,45.03406482323537,42.820647478310114,40.7494494624033,38.81385088543232,37.007375767968526,35.323692041237244,33.75661154711776,32.300090038143345,30.948227177501234,29.695266539032623,28.535595607232686,27.463745777250573,26.474392354889385,25.562354556606213,24.722595509512107,23.950222251372093,23.240485730605158,22.588780806284266,21.99064624813635,21.441764736542318,20.937962862537034,20.475211127809338,20.049623944702052,19.657459636211954,19.295120435989784,18.95915248834029,18.64624584822214,18.353234481248,18.07709626368451,17.81495298245227,17.564070335125844,17.32185792993378,17.085869285758587,16.85380183213675,16.623496909258712,16.392939767968898,16.1602595697657,15.923729386801483,15.681766201882567,15.432930908469263,15.175928310675838,14.909607123270526,14.632959971675554,14.345123391967086,14.045377830875278,13.733147645784253,13.4080011047321,13.069650386410878,12.71795158016662,12.35290468599932,11.97465361456295,11.583486187165455,11.17983413576874,10.764273102988684,10.337522642095141,9.900446217011922,9.45405120231683,8.999488883241616,8.538054455672004,8.071187026147705,7.600469611862376,7.12762914066367,6.654536451053183,6.183206292186503,5.715797323873177,5.254612116576716,4.80209715141462,4.3608428201583385,3.9335834252333086,3.523197179718924,3.1327062073485488,2.7652765425095307,2.424218130243169,2.1129848262447495,1.835174396863517,1.5945285191026863,1.3949327806194511,1.2404166797249652,1.135153625384359,1.0834609372167283,1.0897998454951416,1.1587754911466366,1.2951369257522214,1.5037771115468717,1.7897329214195374,2.158185138913131,2.614458458224542,3.164021484204634,3.8124867323582246,4.565610628844119,5.4292935104750715,6.409579624717842,7.512657129693108,8.744858094175557,10.112658497593856,11.62267823003059,13.281681092222376,15.096574795559738],[48.66939223834716,46.167262138931065,43.82094293029725,41.62352690105516,39.568250250468196,37.648493088453755,35.857779435583176,34.18977722308179,32.638298292828885,31.19729839735774,29.86087719985559,28.623278274163603,27.478889104776986,26.422241086844878,25.448009526170367,24.551013639210563,23.726216553076505,22.968725305533226,22.2737908449997,21.636808030548917,21.053315631907786,20.51899632945721,20.029676714232085,19.581327287921223,19.170062462867445,18.792140562067548,18.44396381917227,18.122078378486336,17.823174294968435,17.544085534231236,17.281789972541365,17.033409396819426,16.796209504639986,16.567599904231592,16.345134114476746,16.12650956491194,15.909567595727625,15.69229345776821,15.4728163125321,15.249409232171649,15.020489199493184,14.784617107957013,14.540497761677408,14.286979875422599,14.02305607461481,13.747862895330211,13.460680784298955,13.160934098905164,12.848191107186931,12.522163987836311,12.182708830199335,11.829825634276004,11.463658310720284,11.084494680840127,10.69276647659743,10.289049340608077,9.874062826141916,9.448670397122768,9.013879428128426,8.57084120439065,8.120850921795153,7.665347686881657,7.205914516843815,6.744278339529277,6.282309993439641,5.822024227730498,5.365579702211392,4.9152789873458325,4.473568564251323,4.043038824699311,3.626424071115233,3.226602516578484,2.8465962848224287,2.4895714102344124,2.158837837855737,1.857849423381687,1.590203933161507,1.3596430441984126,1.1700523441495971,1.0254613313262138,0.9300434146933939,0.888115913870233,0.9041400591297994,0.9827209913991304,1.1286077622592354,1.3466933339450884,1.6420145793456409,2.0197522820038043,2.4852311361164685,3.043919746534498,3.701430628762708,4.463520208959907,5.336088823938845,6.325180721166286,7.4369840587629055,8.677830905503393,10.054197240816409,11.572702954784551,13.240111848144423,15.063331632286555],[47.50777607673099,45.01788962592219,42.68381406589566,40.49864168526085,38.45560868328118,36.54809516987402,34.76962516561072,33.11386660171662,31.574631320071006,30.145875073207144,28.821697524312274,27.596342247227575,26.464196726448243,25.41979235712342,24.457804445056194,23.573052206703675,22.760498769176902,22.015251170240905,21.332560358314673,20.70782119247117,20.13657244243732,19.61449678859404,19.13742082197619,18.701315044272615,18.30229386782613,17.936615615633514,17.600682521345515,17.29104072926687,17.00438029435626,16.73753518222634,16.487483269143752,16.251346342029095,16.026390098456943,15.810024146655831,15.599802005508275,15.393421104550754,15.18872278397372,14.983692294621594,14.776458797992765,14.5652953662396,14.348618982168425,14.124990539239537,13.893114841567215,13.651840603919691,13.40016045171919,13.137210921041875,12.862272458617904,12.574769421831395,12.274270078720445,11.96048660797711,11.63327509894742,11.292635551631374,10.938711876682943,10.571791895410067,10.192307339774658,9.80083385239259,9.398090986533713,8.98494220612185,8.562394885734793,8.131600310604298,7.693853676616092,7.25059409030988,6.803404568879322,6.354012040172069,5.904287342689718,5.45624522558786,5.012044348676038,4.573987282417764,4.14452050793054,3.7262344169858115,3.3218633120090195,2.9342854060795553,2.566522822930785,2.2217415969500536,1.9032516731786633,1.6145069073118983,1.3591050656990034,1.140787825343194,0.9634407739016633,0.831093409685565,0.74791914166003,0.7182352894441542,0.7465030833110056,0.8373276641876215,0.9954580836550113,1.2257873039481495,1.533352197955987,1.923333549221435,2.4010560519413846,2.9719883109666987,3.6417428418021935,4.416076070606678,5.300888334192901,6.302223880027627,7.4262708662315315,8.679361361579303,10.067971345499606,11.598720708075032,13.27837325004219,15.113836682791606],[46.429908128893075,43.94834775888904,41.622678230030594,39.44599183092719,37.41152476084224,35.51265712969311,33.74291295805117,32.09596017714174,30.565610628844112,29.145820065691556,27.8306881508713,26.614458458224544,25.49151847224646,24.456399588086203,23.50377711154687,22.628470259085553,21.825442157813303,21.089799845495147,20.416794270550064,19.801820292051026,19.24041667972497,18.728266113952788,18.26119518576936,17.83517439686352,17.446318159578087,17.09088479690984,16.76527654250953,16.466039540681887,16.18986384638559,15.933583425233309,15.694176153491675,15.468763818081287,15.254612116576718,15.049130657206508,14.849872958853172,14.654536451053188,14.460962473997006,14.267136278529046,14.071187026147706,13.87138778900534,13.66615554990828,13.454051202316831,13.233779550345261,13.004189308761806,12.764273102988685,12.513167469102074,12.250152853832123,11.974653614562953,11.686238019332656,11.384618246833286,11.069650386410881,10.741334438065438,10.399814312450921,10.045377830875282,9.678456725300421,9.299626638342222,8.909607123270533,8.509261644009168,8.099597575135931,7.6817662018825725,7.257062720134815,6.826926236432371,6.3929397679688975,5.956830242592046,5.520468498803413,5.085869285758589,4.655191263267117,4.230737001792511,3.8149529824522705,3.4104295970178438,3.019901147914668,2.6462458482221383,2.292485821673619,1.961787102656455,1.6574596362119483,1.3829572780353838,1.141877794476006,0.9379628625370304,0.77509806987565,0.6573129148030189,0.5887808062842674,0.573819063938492,0.6168889180387602,0.7225955095121095,0.8956878899395497,1.1410590215560545,1.4637457772505753,1.8689289405660237,2.361933205699289,2.948227177501237,3.633423371476682,4.423278213784432,5.323692041237239,6.340709101301864,7.480517552098985,8.74944946240329,10.153980811643443,11.700731489902033,13.396465297915672,15.248089947074888],[45.43618814664997,42.95903628964819,40.63793517451863,38.46597708987075,36.43639823496795,34.542578719727615,32.7780425647211,31.136457701173725,29.61163597096477,28.197533126627533,26.88824883134924,25.67802665897107,24.561254093988207,23.53246253154981,22.58632727745896,21.717667548172763,20.921446470802266,20.192771083112497,19.526892333522436,18.919205081105055,18.365248095587287,17.860704057350027,17.40139955742815,16.983305097510495,16.602535089939884,16.255347857713094,15.938145634480872,15.647474564547947,15.380024702873008,15.132630015068713,14.902268377401697,14.686061576792564,14.481275310815882,14.285319187700193,14.095746726328008,13.91025535623581,13.726686417614047,13.54302516130714,13.357400748813488,13.168086252285441,12.973498654529333,12.77219884900547,12.562891639828118,12.344425741765518,12.115793780239883,11.876132291327389,11.62472172175819,11.360986428916403,11.084494680840123,10.794958656221409,10.492234444406286,10.176322045394762,9.847365369840798,9.505652239052342,9.151614384991303,8.785827450273553,8.409010988168946,8.022028462601304,7.625887248148414,7.22173863004204,6.810877804167902,6.394743877065707,5.9749198659291185,5.5531326986057845,5.131253213597303,4.711296160059261,4.2954201978012065,3.885927897286651,3.4852657396330944,3.096024116611984,2.720937330648759,2.3628835948228124,2.024885032867509,1.710107679170195,1.4218614787721715,1.1636002873687232,0.938921871309095,0.7515679075965024,0.6054239838881379,0.5045195984951562,0.4530281603826873,0.4552669891698277,0.5156973151296449,0.6389242791891765,0.8296969329294323,1.0929082385853859,1.4335950690459889,1.8569382078541523,2.3682623492067667,2.9730360979546964,3.676871969602756,4.485526390309755,5.404899696888443,6.441036136805584,7.600123868181853,8.888494959791938,10.312625391064504,11.879135052082146,13.594787743581465,15.466491176952998],[44.52741563363484,42.0507547218328,39.73038440299294,37.5593969657247,35.53102860929149,33.63865944361069,31.875813489253666,30.23615867744573,28.71350685006618,27.301813759648287,25.99517906937928,24.78784635310035,23.674203095306677,22.64878069114742,21.706254446425657,20.8414435775985,20.049311211776995,19.324964386726162,18.66365405086499,18.060775063266448,17.511866193657465,17.012610122418945,16.558833440585754,16.146506649846746,15.77174416254472,15.430804301676469,15.12008930089273,14.836145304498247,14.575662367451695,14.335474455365734,14.112559444507006,13.90403912179611,13.707179184807616,13.519389241770062,13.338222811565966,13.161377323731804,12.98669411845803,12.812158446589061,12.63589946962329,12.45619025971308,12.271447799664763,12.080232982938634,11.88125061364897,11.673349406564004,11.455521987105955,11.226904891350998,10.986778566029283,10.734567368524932,10.469839566876036,10.192307339774654,9.90182677656682,9.59839787725253,9.282164552485753,8.953414623574432,8.612579822480473,8.26023579181976,7.897102084862137,7.5240421655314265,7.142063408405423,6.752317098715881,6.356098432348525,5.954846515843066,5.550144366393161,5.1437189118464595,4.7374409907045605,4.333325352123053,3.9335306559114804,3.5403594725333583,3.156258283106184,2.7838174794014057,2.425771363844463,2.0849981495147487,1.7645199601456278,1.4675028301244462,1.1972567044925044,0.9572354389450878,0.751036799831441,0.58240246415478,0.4552180195722968,0.3735129643951465,0.34146070758845853,0.3633785687713301,0.4437277782168281,0.5871134768519903,0.7982847162578268,1.0821344586693105,1.443699576975394,1.888160854718988,2.4208429860969822,3.047214575960241,3.7728881398135807,4.603620103815809,5.545310804779676,6.604004490171946,7.785889318113294,9.09729735737841,10.544704587395957,12.134730898248524,13.874140090672723,15.769839876059082],[43.704789845297455,41.224702310892646,38.901225170903274,36.727450713938794,34.69661513926261,32.80209855679211,31.037424987098635,29.396262361407533,27.87242252159807,26.459861220203535,25.152678120411146,23.945116796062113,22.831564731651603,21.80655332232876,20.864757873896696,20.000997602812504,19.210235636187214,18.487579011785876,17.82827867802746,17.227729493984942,16.681470229385248,16.185183564609282,15.73469609069192,15.325978309321997,14.955144632842325,14.618453384249694,14.312306797194848,14.033251015982518,13.777976095571388,13.543316001574118,13.326248610257347,13.12389570854167,12.933522994001667,12.752540074865866,12.57850047001679,12.409101608990916,12.242184831978694,12.075735389824544,11.907882444026862,11.736899066738008,11.561202240764306,11.379352859566065,11.190055727257553,10.992159558607007,10.784656979036644,10.566684524622639,10.337522642095143,10.09659568883828,9.843471932890136,9.577863552942773,9.299626638342222,9.008761189088485,8.705411115835524,8.389864239891288,8.062552293217681,7.7240509184305814,7.375079668799845,7.016502008249285,6.649325311356698,6.274700863353841,5.893923860126434,5.508433408214191,5.119812524810769,4.7297881377638165,4.340231085574934,3.9531561173997085,3.5707218930476845,3.1952309829823777,2.8291298683212855,2.4750089408358558,2.135602502951528,1.8137887677476947,1.512589858957722,1.2351718109689542,0.9848445688226937,0.7650619882142242,0.5794218354927911,0.43166578766161057,0.32567943237787417,0.2654922679527373,0.25527770335132904,0.29935305819274705,0.4021795627500577,0.5683623579502991,0.8026504953744815,1.1099369372575776,1.49525855648854,1.9637961366102792,2.5208743718196844,3.1719618669676226,3.9226711375589067,4.778758609752346,5.746124620360692,6.830813416850706,8.039013157343064,9.377055910612455,10.851417656087548,12.468718283850924,14.235721594639202,16.159335299842905],[42.96990978890413,40.48247806409403,38.152056485515956,35.97173734177936,33.934756832147634,32.03449506653818,30.264476065522334,28.618367760325437,27.089981992826765,25.673274515559605,24.362344991711186,23.151436995122687,22.034938010289302,21.007379432360175,20.063436567138396,19.197928631081076,18.405818751299254,17.682213965557953,17.02236522227616,16.421667380526852,15.875659210036952,15.38002339118736,14.930586515012955,14.523319083202573,14.154335508099026,13.819894112699103,13.516397130653548,13.24039070626709,12.988564894498415,12.757753660960185,12.544934881919037,12.347230344295566,12.161905745664349,11.986370694253923,11.8181787089468,11.655027219279464,11.494757565442365,11.33535499827992,11.174948679290525,11.011811680626542,10.844360985094294,10.671157486154089,10.490905987920197,10.302455205160856,10.104797763298278,9.897070198408642,9.6785529572221,9.448670397122768,9.206990786148745,8.953226302992086,8.687233036998819,8.409010988168948,8.11870406715644,7.816600095269237,7.503130804469248,7.17887183737235,6.844542747248397,6.5010069980212055,6.149271964268568,5.790488931222242,5.425953094767953,5.057103561445409,4.685523348448269,4.312939383624183,3.941222505474749,3.5723874631555557,3.2085929164761477,2.852141435900039,2.5054795025447274,2.171197508181663,1.8520297552362823,1.5508544567879796,1.2706937365701205,1.0147136289700498,0.7862240790290693,0.588678942442463,0.42567598555947617,0.3009568853833253,0.2184072295712013,0.18205651643426024,0.1960781549376307,0.26478946470041087,0.3926516759956664,0.5842699297504359,0.8443932775457299,1.1779146816165205,1.5898710148517607,2.08544306079436,2.6699555136412094,3.3488769782431747,4.127819970105069,5.012540915385702,6.008940150897823,7.123061924108198,8.361094393137499,9.729369626760416,11.234363604405617,12.882696216155685,14.681131262747238,16.636576455570797],[42.32477422353779,39.826080740519885,37.48487710591391,35.29425560832931,33.24745244702948,31.337847731931816,29.558965483607672,27.90447363328237,26.3681840228352,24.944052404799436,23.626178442362317,22.40880570936501,21.286321690302717,20.25325778032459,19.304289285233704,18.434235421487173,17.638059316196042,16.910868007125334,16.24791244269404,15.644587481975124,15.096431894695515,14.599128361236115,14.1485034726318,13.740527730571412,13.371315547397758,13.037125246107626,12.734359060351759,12.459563134434894,12.20942752331571,11.980786192606868,11.77061701857501,11.57604178814073,11.3943261988786,11.222879859017162,11.05925628743893,10.901152913680384,10.746411077931972,10.593016031038118,10.43909693449721,10.282926860461611,10.122922791737654,9.957645621785638,9.785800154719833,9.606235105308475,9.417943098973787,9.220060671791934,9.011868270493078,8.792790252461334,8.562394885734797,8.32039434900552,8.06664473161954,7.801146033576854,7.524042165531429,7.235620948791212,6.9363141153181065,6.6266973077279925,6.307490079290723,5.9795558939301126,5.643902126223958,5.301680061404016,4.9541848953560095,4.602855734619647,4.24927559638859,3.8951714085104845,3.542414009486932,3.19301814847352,2.849142485279792,2.5130895903692645,2.187305944859433,1.8743819405217486,1.577051879781648,1.2981939757185246,1.0408303520657451,0.8081270432106533,0.6033939941945519,0.4300850607127239,0.2917980091144152,0.19227451640284254,0.1354001702351962,0.12520446892263287,0.16586082143028053,0.26168654737723784,0.41714287703657005,0.636834951335316,0.9255118218544863,1.2880664508290527,1.7295357111479688,2.255100386354144,2.8700851706444683,3.5799586688698084,4.390333396534977,5.306965779798785,6.33575615547398,7.482748771027328,8.754131784579503,10.156237264905194,11.695541191433069,13.378663454245709,15.212367854079734,17.203562102325666],[41.77178166009793,39.257908851069715,36.90208554299663,34.697404024488144,32.637100494807655,30.714555063872538,28.923291752254155,27.25697849117784,25.709427122522865,24.274593398822514,22.94657698326401,21.71962144968856,20.58811428259133,19.546586877121474,18.58971453908209,17.712316484930277,16.90935584177707,16.17593964738751,15.50731885018057,14.898888309229235,14.34618679426042,13.844896985655025,13.390845474447941,12.980002762327995,12.608483261637996,12.272545295374737,11.96859109718897,11.693166811385408,11.44296249292275,11.214812107413653,11.005693531124752,10.812728550976646,10.633182864543908,10.464466080055077,10.304131716392668,10.14987720309316,9.999543880347005,9.851116998998616,9.702725720546402,9.55264311714271,9.399286171593868,9.241215777360189,9.077136738555938,8.905897769949352,8.726491496962648,8.538054455672002,8.339867092807566,8.13135376575346,7.912082742547774,7.681766201882567,7.440260233103869,7.187564836211685,6.923823921859977,6.649325311356694,6.364500736663739,6.0699258403969925,5.766320175826307,5.454547206875497,5.135614308122357,4.810672764798648,4.481017772790091,4.148088438636393,3.813467779531217,3.47888272332221,3.1462041085109718,2.81744668425309,2.49476911035811,2.180473957289545,1.877007706164894,1.5869607487556059,1.3130673874871175,1.0582058354388233,0.825398216344089,0.6178105645902587,0.4387528252186356,0.29167885392450205,0.18018641705710403,0.10801719161965877,0.07905676526935591,0.0973346363173527,0.16702421372877654,0.2924428171227268,0.47805167677226795,0.7284559336044392,1.0484046392002515,1.442790755794676,1.916651156276667,2.4751666241891326,3.1236618537289647,3.8676054497470287,4.712609927748138,5.664431713891102,6.728971144988671,7.912272468507609,9.22052384256859,10.660057335946302,12.237348928069412,13.959018509020511,15.831829879536208,17.862690751007026],[41.31373036130064,38.78076065845959,36.40648005948021,34.183980852971956,32.10649923819823,30.167415325076416,28.360253134177867,26.678680596727915,25.116509554605834,23.667695760344913,22.326338877132386,21.08668247880943,19.94311404987123,18.89016498546694,17.92251059139965,17.034970084126467,16.222506590758428,15.48022714906056,14.803382707451854,14.187368125005277,13.627722171447758,13.120127527160195,12.66041078317747,12.244542441188417,11.868636913535848,11.528952523216551,11.22189150388127,10.94399999983474,10.691968066035638,10.462629668096632,10.252962682284355,10.060088895519407,9.88127400537636,9.713927620083753,9.555603258524101,9.403998350233884,9.256954235403551,9.112456164877521,8.968633300154194,8.823758713385924,8.67624938737904,8.524666215593847,8.367714002144618,8.204241461799587,8.033241219980969,7.853849812764942,7.66534768688166,7.467159199715236,7.25885261930377,7.040140124339315,6.8108778041679034,6.5710656587895375,6.3208475988581805,6.06051144568178,5.790488931222243,5.511355698095446,5.223831299571243,4.92877919957345,4.627206772679859,4.3202653041222305,4.009249989786289,3.695599936211739,3.3808981605922437,3.0668715907754507,2.75539106526296,2.4484713332103576,2.1482710544271897,1.8570927993769715,1.5773830491771985,1.3117321955993226,1.0628745410687788,0.8336882986649623,0.6271955921212391,0.44656245582495235,0.2950988348174062,0.17625858479388234,0.09363947210362694,0.05098317374985764,0.052175277389763436,0.1012452813345022,0.20236659454920064,0.3598565366529589,0.5781763379188405,0.8619311392738853,1.2158699922991048,1.6448858592294688,2.1540156129539327,2.7484400370154036,3.4334838256107743,4.214615583590911,5.097447826460623,6.087736980378725,7.191383382157965,8.414431279265106,9.763068829820822,11.243628102599805,12.86258507703072,14.626559643196153,16.54231560183272,18.61676066433094],[40.95381834167856,38.397834177222165,36.0012586698973,33.757184108313396,31.65884669173387,29.69962653007611,27.873047643911463,26.17277796446526,24.592629333616788,23.12655750389932,21.768662138500094,20.51318681126028,19.354519006675083,18.287190119893644,17.305875456719054,16.405394233608416,15.58070957767277,14.826928526677152,14.139302029040547,13.513224943835912,12.944236040790189,12.428018000284274,11.960397413353043,11.537344781685336,11.154974517623963,10.809544944165712,10.497458294961323,10.215260714315539,9.95964225718703,9.727436889188464,9.51562248658648,9.321320836301675,9.141797635908619,8.974462493635855,8.816868928365892,8.666714369635216,8.521840157634273,8.380231543207486,8.240017687853245,8.099471663723914,7.957010453625821,7.811194951019267,7.660729960018525,7.504464195391829,7.341390282561401,7.170644757603412,6.991508067248013,6.803404568879328,6.605902530535447,6.398714130908427,6.181695459344301,5.954846515843069,5.718311211058696,5.4723773662991295,5.217476713526276,4.954184895356011,4.683221465058191,4.40544988655663,4.121877534429121,3.8336556939074242,3.5420795608772635,3.2485882418783447,2.95476475410433,2.6623360254028663,2.3731728942755552,2.0892901098779824,1.812846332019693,1.5461441311642035,1.2916299884290083,1.0518942955855604,0.829671355059294,0.627839379929604,0.44942049392985767,0.2975807314473969,0.17563003752352674,0.0870222678535281,0.035355188786647535,0.02437047732610307,0.05795372112908296,0.14013441850674577,0.27508597842421745,0.46712572050059903,0.7207148750089534,1.0404585828763202,1.4311058956837122,1.8975497756660977,2.4448270957124327,3.0781186393656244,3.802749100822565,4.624187084934122,5.5480451072051045,6.580079593794326,7.726190881514533,8.992423217832494,10.384964760868879,11.910147579398378,13.574447652849662,15.38448487130531,17.347023035501937,19.468969856830075],[40.69564336758098,38.112727173706716,35.69001914059715,33.420611556861715,31.297740621763833,29.314786445220875,27.465273047804196,25.74286836073913,24.14138422590496,22.65477639583496,21.27714453371636,20.00273221339036,18.82592691935213,17.741260046750817,16.743406901389534,15.827186699725363,14.98756256886935,14.21964154658653,13.518674581295882,12.880056532070387,12.299326168636961,11.772166171376504,11.294403131323909,10.862007550167998,10.471093840251582,10.11792032457146,9.79888923677837,9.510546721177041,9.249582832726162,9.012831537038394,8.79727071038037,8.600022139672692,8.418351522489928,8.249668467060623,8.091526492267285,7.941623027646399,7.7977994133884145,7.658040900337747,7.5204766499927995,7.383379734505924,7.245167136683451,7.104399749985686,6.959782378526899,6.810163737075328,6.654536451053184,6.492037056536649,6.321946000255872,6.143687639594972,5.956830242592044,5.761085987939143,5.556310964982301,5.342505173721522,5.119812524810767,4.888520839557984,4.649061849925079,4.402011198527932,4.148088438636393,3.888157034174281,3.623224359719388,3.3544417005034726,3.0831042524122587,2.8106511219854533,2.5386653264167194,2.2688737935537024,2.003147361898004,1.7435007806052094,1.4920927094848648,1.2512257190004867,1.0233462902695694,0.8110448150635652,0.6170555958079086,0.44425684558199485,0.2956706881191913,0.17446315780683924,0.08394419968624436,0.027567669452686926,0.008931333455413758,0.03177686869764337,0.09998986283656319,0.21759981418333255,0.3887801317030767,0.6178481350148973,0.9092650543918565,1.2676360307609944,1.6977101157033236,2.204380271453813,2.7926833709014183,3.467800197589047,4.235055445713589,5.099917720125915,6.0679995363308326,7.1450573204871555,8.33699140940763,9.649846050559027,11.08980940206201,12.663213532691275,14.376534421875492,16.236391959697237,18.249549946893136,20.422916094853708],[40.5432029571737,37.92943716607906,35.4767589897456,33.17826071678276,31.027178546453946,29.01689258867654,27.140926864021907,25.392949303715362,23.766771749636185,22.256349954317674,20.85578358094705,19.5593162033655,18.361335306068206,17.256372284204318,16.23910244357693,15.304345000643144,14.447063082514,13.662363726954531,12.945497882383718,12.291860407874537,11.69699007315391,11.156569558602737,10.666425455255903,10.22252826480224,9.820992399584558,9.458076182599646,9.130181847498251,8.833855538585105,8.565787310818887,8.322811129812262,8.101904871831865,7.900190323798297,7.714933183286127,7.543543058523897,7.383573468394119,7.232721842433276,7.088829520831815,6.949881754434157,6.8140077047386995,6.679480443897798,6.5447169547177815,6.408278130658957,6.268868775835591,6.125337605015924,5.976677243622168,5.822024227730504,5.660659004071079,5.492005930028016,5.315633273639406,5.131253213597308,4.938721839247751,4.738039150590739,4.529349058280236,4.312939383624186,4.089241858584498,3.8588321257770497,3.622429738471693,3.3808981605922463,3.1352447667165,2.8866208420762156,2.636321582557116,2.385786094698907,2.1365973956952518,1.8904824133937967,1.6493119862961434,1.4151008635578766,1.1900077049885431,0.9763350810516589,0.7765294728647176,0.5931812721991732,0.42902478148045875,0.28693821378796996,0.16994369285507455,0.08120725306911322,0.024038839471392306,0.0018923077571913124,0.01836542427575741,0.07719986603030962,0.18228122067803446,0.33763898653009217,0.547446572551607,0.8160212983616818,1.147824394233377,1.5474610010937344,2.019680170523767,2.5693748647584407,3.2015819566867147,3.921482229851493,4.734400378449671,5.645805007332112,6.66130863200363,7.7866676786230355,9.027782484003076,10.390697295610519,11.881600271566034,13.506823480644314,15.272842902274025,17.186278426537754,19.253893854172112,21.482596896567628],[40.500894380439135,37.85236142432161,35.365875487325056,33.03452885805892,30.851557735786614,28.810342230425515,26.904406362546986,25.127418063376346,23.47318917479289,21.935675449329885,20.508976550174562,19.187336051168113,17.965141436805727,16.836924102236537,15.797359353263655,14.84126640634417,13.963608388589128,13.15949233776356,12.42416920228645,11.753033841230767,11.14162502432344,10.585625431945369,10.080861655131432,9.623304195570466,9.209067465605285,8.83440978823267,8.495733397103374,8.189584436522122,7.9126529614476,7.66177293749247,7.433922240923369,7.2262226586608955,7.03593988827962,6.860483538008083,6.697407126728798,6.544408083978246,6.3993277499468775,6.260151375479112,6.1250081220733446,5.992171061881933,5.860057177711208,5.727227363021472,5.592386421926996,5.454383069196016,5.31220993025075,5.165003541167371,5.012044348676035,4.852756710160859,4.686708893659936,4.5136130778653225,4.333325352123051,4.145845716433122,3.951318081449503,3.7500302684801374,3.542414009486932,3.3290449470857664,3.110642634546492,2.8880705357929264,2.6623360254028623,2.4345903886080578,2.206128821294238,1.9783904300011084,1.7529582319223334,1.5315591549055563,1.316064037452381,1.108487628718392,0.9109885885131356,0.7258694873001279,0.5555768061968628,0.40270093697479403,0.26997618205935453,0.16028075452994026,0.07663677811991912,0.022210287216631236,0.00031122686138366026,0.01439345274945511,0.06805473123009312,0.1650367393065172,0.309225064635913,0.5046492055294415,0.7554825709522264,1.066042480523371,1.4407901645159351,1.8843307638569609,2.4014133301274616,2.9969308255624036,3.6759201230507443,4.44356200613539,5.305181169013232,6.266246216535141,7.332369664205923,8.509307938184392,9.802961375283296,11.219374222969405,12.764734639363382,14.445374693239923,16.2677703640277,18.238541541809294,20.364452027321313,22.652409531954287],[40.57351465917628,37.88629697023336,35.36216565513452,32.99421300248921,30.77567521156085,28.69993239226681,26.760508565178455,24.951071661521112,23.26543352317406,21.697549902670577,20.241520463197894,18.891588778597207,17.642142333363687,16.487712522646486,15.422974652248712,14.442747938627448,13.541995508893743,12.715824400812629,11.959485562803083,11.26837385393809,10.638028043944566,10.064130813203406,9.542508752749507,9.069132364271692,8.640116060112772,8.251718163269542,7.900340907392745,7.5825304367871045,7.294976806411314,7.034513981878033,6.798119839453894,6.582916166059499,6.386168659269417,6.205286927312192,6.037824489070334,5.881478774080326,5.734091122532617,5.593646785271624,5.45827492379575,5.3262486102573465,5.195984827462744,5.0660444688722475,4.935132338600127,4.80209715141462,4.665931532737941,4.525772018646268,4.380899055869752,4.230737001792512,4.074854124452641,3.912962602542197,3.7449185254072104,3.5707218930476827,3.3905166161175804,3.2045905159248482,3.0133753244313928,2.8174466842530923,2.6175241486597995,2.4144711815753324,2.2092951575774813,2.003147361898007,1.7973229904226335,1.5932611496910662,1.3925448568969692,1.1969010398879865,1.008200537165722,0.8284580978857596,0.6598323818576458,0.5046259595448973,0.3652853120650069,0.24440083118942957,0.14470681934359705,0.06908148960690597,0.020546965712724515,0.0022692820483920266,0.017558383655216402,0.06986812622847549,0.16279627611741718,0.30008451032526157,0.48561841650919335,0.7234274929803743,1.0176851487039273,1.3727087032989567,1.7929593870385219,2.283042340849664,2.847706616313398,3.4918451756646887,4.220494891792495,5.038836548239721,5.952194839203259,6.966038369533982,8.085979654736693,9.31777512097021,10.667325105047276,12.140673854434661,13.744009527253034,15.483664192277084,17.366113828935486,19.397978327310817,21.5860214881397,23.937151022812646],[40.76626056700074,38.036440577429886,35.47082626678956,33.062509923689205,30.80472774739222,28.690859847815993,26.714430245531886,24.86910687176521,23.148701568395275,21.547170087955333,20.058612093632632,18.677271159268344,17.397534769357666,16.213934319049745,15.12114511414767,14.113986371108545,13.187421217043411,12.336556689717302,11.556643737549198,10.84307721961207,10.191395905632845,9.59728247599243,9.056563521725693,8.565209544521478,8.119334956722597,7.7151980813258305,7.349201151981929,7.017890312995625,6.717955619325599,6.446231036584511,6.199694441039001,5.9754676196096685,5.770816269871084,5.583150000051787,5.41002232903429,5.249130686355075,5.098316412204592,4.955564757427263,4.819004883521479,4.6869098626396,4.5576966775879555,4.4299262218268485,4.302303299470552,4.1736766252873005,4.043038824699311,3.9095264337827587,3.7724198992677964,3.631143578538543,3.4852657396330917,3.3344985612435,3.1786981327157986,3.017864454049989,2.8521414359000374,2.681816899573888,2.5073225770334484,2.329234110894597,2.1482710544271857,1.965296871555033,1.781318936855929,1.597488535561634,1.4151008635578735,1.2355950273843512,1.0605540442347325,0.8917048419566606,0.7309182590517399,0.5802090446755537,0.44173585863764875,0.3178012714015424,0.21085176408472645,0.12347772845865669,0.058413466948764106,0.018537192634445736,0.006871029249070122,0.02658101117997581,0.08097708346847157,0.17351310180983437,0.30778683255331246,0.4875399527021266,0.7166580499134603,0.9991706224984764,1.3392510794222967,1.7412167403040268,2.209528835416725,2.7487925056874327,3.3637568026971656,4.059314688680887,4.840503036527559,5.712502629780079,6.68063816263535,7.750378239944235,8.927335377211541,10.217266000596087,11.626070446910612,13.159792963621893,14.82462170885059,16.6268887513714,18.573070070612992,20.669785556657946,22.92379901024288,25.34201814275832],[41.08472862934467,38.308388771343374,35.697453847722365,33.245016147091064,30.9443118687129,28.78872112250524,26.77176792903944,24.887120219540833,23.128589835888704,21.490132530616325,19.96584796691093,18.549979718613706,17.236915270219836,16.02118601687847,14.897467264392706,13.86057822921964,12.90548203847031,12.027285729909757,11.221240251956957,10.482740463684884,9.807325134820466,9.190676945744599,8.628622487492168,8.117132261752005,7.652320680866923,7.230446067833709,6.847910656303109,6.501260590579853,6.187185925622625,5.902520627044088,5.644242571110876,5.40947354474359,5.195479245516801,4.99966928165905,4.819597172052848,4.6529603462346785,4.497600144394989,4.351501817378201,4.2127945266827105,4.079751344460874,3.9507892535190203,3.824469147317455,3.699495829970447,3.5747180162462358,3.4491283315670342,3.3218633120090204,3.1922034043023455,3.059572965831129,2.923540264633464,2.783817479401408,2.6402606994809914,2.492869924872216,2.3417890662290475,2.1873059448594314,2.0298522927252742,1.8700037524424546,1.7084798772808245,1.5461441311642021,1.384003888670378,1.2232104350311122,1.0650589661321304,0.9109885885131359,0.7625823193677945,0.621567086543749,0.48981372854260474,0.36933699451994373,0.2622955442853133,0.1709919483022313,0.0978726876881886,0.04552815421464196,0.016692650307021373,0.0142443890447244,0.04120549416111995,0.10074200004354573,0.19616385173331147,0.33092490492569304,0.5086229259699393,0.7329995918692714,1.007940490280872,1.3374751195159051,1.7257768885394913,2.1771631169707364,2.6960950350826987,3.28717778380242,3.9551604147109165,4.704935890043151,5.541541082688084,6.470156776188617,7.496107664741647,8.624862353198044,9.862033357062609,11.213377102494162,12.684793926305446,14.282328075963235,16.01216770958819,17.880644895955005,19.894235614492352,22.05955975528282,24.38338111906301,26.872607417223456],[41.534915123456784,38.70813782922256,36.048044675181664,33.54772794994355,31.200423852771635,28.999512493583286,26.938517892949868,25.01110798209671,23.211094602903092,21.53243350790229,19.96922436028154,18.51571073388203,17.166280113198937,15.915463893381414,14.75793738023256,13.688519790209469,12.702174250423182,11.794007798638734,10.959271383275105,10.193359863405275,9.491812008756161,8.850310499708664,8.264681927297673,7.730896793212012,7.245069509794497,6.803458400041918,6.402465697605022,6.038637546788531,5.708664002551136,5.4093790305055,5.137760506918253,4.8909302187099994,4.666153863455307,4.460841049382719,4.272545295374747,4.09896403096787,3.9379385963525424,3.7874542423731814,3.645640130528184,3.510769332969906,3.3812588325046775,3.255669522592803,3.1327062073485528,3.011217601540164,2.890196330589852,2.7687789305737924,2.6462458482221387,2.52202144091901,2.395673976702497,2.2669156342646604,2.135602502951529,2.0017345827631035,1.8654557843533528,1.7270539290302191,1.5869607487556108,1.4457518861454062,1.304146894469457,1.1630092376515813,1.0233462902695702,0.8863093375551829,0.7531935753941461,0.6254381103261624,0.5046259595448979,0.39248405089799504,0.29088322288705964,0.2018382246676732,0.1275077160493834,0.07019426749570833,0.032344360124138154,0.01654838570613049,0.02554064666711438,0.06219935608648792,0.1295466376976204,0.2307485258878486,0.3691149656984833,0.5480998128247994,0.771300833616046,1.0424597050754452,1.365462014860178,1.74433726128141,2.18325885330426,2.6865441105478367,3.2586542632851954,3.904194452443379,4.627913729603405,5.434705057000233,6.329605307522828,7.317795264714086,8.40459962277091,9.595486986544163,10.896069871538653,12.312104703913198,13.849491820480539,15.514275468707451,17.31264380671459,19.250928903276662,21.33560673782233,23.57329720043418,25.970764091848825,28.534915123456784],[42.12321607840246,39.24208378013276,36.528994778232786,33.97704136131198,31.57945972863374,29.329629990115464,27.221076166328494,25.247466188498166,23.402611898503764,21.680469048878564,20.075137302809797,18.580860234138644,17.192025327360298,15.903163977623905,14.70895149073256,13.604207083143361,12.583893881967349,11.64311892496956,10.777133160568978,9.981331447838565,9.251252556505257,8.582579166949953,7.971137870207529,7.412899167966823,6.903977472570649,6.440631107015789,6.01926230495299,5.6364172106869885,5.288785879176461,4.973202276034071,4.686644277526457,4.426233670574217,4.189236152751922,3.9730613322881165,3.775262728065307,3.593537769619977,3.4257277971425775,3.269818061477528,3.1239377241232233,2.9863598572320216,2.8555014436102524,2.7299233767182196,2.6083304606701927,2.489571410234411,2.372638850833088,2.2566693185424005,2.1409432600925014,2.0248850328675094,1.9080629049055169,1.790189054898582,1.6711195721927354,1.5508544567879783,1.4295376193382776,1.307456881151577,1.1850439741897842,1.0628745410687777,0.9416681350584093,0.8222882200824972,0.7057421707188322,0.5931812721991734,0.485900720409248,0.3853396218887581,0.2930809938313705,0.21085176408472667,0.14052277115043332,0.08410876418407122,0.04376840299518836,0.02180425804730325,0.020662810457905228,0.042934451998452826,0.0913534850943741,0.16879812282506773,0.2782904889239033,0.42299661777821684,0.6062264544293199,0.8314338545724866,1.1022165845569663,1.4223163213859817,1.7956186527167133,2.2261530768603266,2.71809300278194,3.2757557501006644,3.903602549089551,4.606238540675647,5.388412776439968,6.255018218617473,7.211091740097127,8.261814124421829,9.412510065788476,10.668648169047936,12.035840949705015,13.519844833918532,15.126560158501228,16.862031170919877,18.73244602929514,20.744136802401712,22.903579469668273,25.217393921177386,27.69234395766568,30.335337290523675],[42.85642727506358,39.91702240495591,37.147099937757645,34.53975216207826,32.08821527718115,29.785869392983688,27.626238530057236,25.60299061962713,23.709937503572643,21.94103493442706,20.290382575377603,18.752224000265468,17.320946693585835,15.991082050487854,14.757305376774621,13.614435888903234,12.557436713984734,11.581414889784156,10.68162136472048,9.853450997866679,9.09244255894968,8.394278728350379,7.754786097103664,7.169935166898362,6.635840350077292,6.148759969637236,5.7050962592289425,5.301395363157141,4.934347336380516,4.600786144511728,4.2976896638174145,4.022179681218174,3.7715218942885786,3.543125911257169,3.334545251006457,3.1434773430729233,2.967763527647019,2.8053890555731646,2.654483088349754,2.5133186981291455,2.3803128677176693,2.2540264905756278,2.133164370817292,2.016575223210901,1.9032516731786668,1.7923302567967687,1.6830914207953573,1.5749595225585526,1.4675028301244462,1.3604335221850974,1.2536076880865354,1.1470253278287625,1.0408303520657456,0.9353105821054273,0.8308977499097162,0.728167498094491,0.6278393799296029,0.5307768593388706,0.4379873109000842,0.35062201984500324,0.26997618205935536,0.19748890408284184,0.13474320310913018,0.08346600698586112,0.04552815421464225,0.022944393951053455,0.017873386004643096,0.03261770083893019,0.06962381957140311,0.1314821339735214,0.2209269464707121,0.3408364701423744,0.49423282872187835,0.684282056596559,0.914294098807729,1.1877228110506612,1.5081659596746055,1.8793652216827859,2.3052061847323806,2.7897183471345572,3.3370751178544333,3.9515938165111173,4.637735673377665,5.40010582938112,6.243453336102499,7.172671155776762,8.192796161292874,9.309009136193733,10.526634774676236,11.851141681591253,13.288142372443586,14.84339327339206,16.522794721249404,18.33239096348241,20.27837015821172,22.367064374212045,24.60494959091205,26.998645698394316,29.55491649739546,32.280669699306],[43.74174424613866,40.740149236390494,37.90955568645476,35.243055884940915,32.73388603111235,30.375426234886458,28.161200516834594,26.084876808182088,24.140266950808225,22.32132669724627,20.622155710683465,19.036997564961,17.560239744574048,16.186413644671763,14.910194571057245,13.726401740187587,12.62999827917383,11.616091225781012,10.679931528428114,9.816914046188106,9.022577548787915,8.292604716608441,7.622822140684565,7.00920032270512,6.447853675012922,5.935040520604754,5.467163093131364,5.040767536897483,4.652543906861793,4.299326168636957,3.9780921984896107,3.6859637833403536,3.420206620763757,3.178230318988363,2.9575883968966816,2.7559782840251947,2.571241320564354,2.4013627573585774,2.244471755906262,2.0988413883597636,1.9628886375254133,1.835174396863514,1.7144034704883362,1.5994245731681187,1.4892303303250747,1.382957278035382,1.2798858630291923,1.179440442690625,1.081189285057772,0.9848445688226921,0.8902623833314156,0.7974427285839434,0.7065295152342432,0.6178105645902576,0.531717608613895,0.44882628992103446,0.3698561617815267,0.29567068811919056,0.22727724351181625,0.16582711319116306,0.11261549304295922,0.06908148960690529,0.03680812007666946,0.0175223122998917,0.013094904778180405,0.025540646667114704,0.057018197776243285,0.10983012856908567,0.18642292016312922,0.28938696432983463,0.4214565634946277,0.5855099307369083,0.784569189790047,1.0218003750413778,1.300513431532214,1.6241622149578285,1.99634449166747,2.4208019386643644,2.9014201436056886,3.442228604802611,4.047400731220248,4.7212538424777115,5.4682491688480495,6.292991851258313,7.2002309412895205,8.194859401176624,9.281914103808592,10.46657583272832,11.754169282132713,13.150163056872634,14.660169672452888,16.289945555032297,18.045391041423592,19.932550379093563,21.957611726162863,24.126907151406183,26.446912634252215,28.9242480647835,31.565677243736697,34.3781078825023],[44.78676227614276,41.71905955895158,38.82395730883918,36.09454781441498,33.52406727494241,31.105895800338843,28.833557411175633,26.70072003867812,24.70119552472557,22.828939621851273,21.078051993242454,19.442776212740306,17.917499764840002,16.496754044690704,15.175214358095499,13.94769992151149,12.809173862049713,11.754743217475209,10.779658936206957,9.879315877317925,9.049252810535044,8.285152416239214,7.582841285465313,6.938289919902175,6.34761273189262,5.807068044433424,5.313058091175338,4.862129016423096,4.4509708751353765,4.076417632924843,3.7354471660581323,3.4251812614558426,3.1428856166925465,2.885969839996785,2.6519874502510685,2.4386358769918792,2.2437564604096685,2.065334451348855,1.9014990113078345,1.7505232124389636,1.6108240375485734,1.480962380096967,1.3596430441984142,1.2457147446211543,1.1381701067874002,1.03614566677333,0.9389218713090951,0.8459230777788156,0.7567175542205824,0.671017479326455,0.5886789424424633,0.5097019435686083,0.4342303933588584,0.3625521131211551,0.2950988348174072,0.232446201063494,0.1753137651292661,0.12456499093854237,0.08120725306911279,0.04639183675273669,0.021413937875142775,0.007712662976030951,0.006871029249070092,0.020615964541899318,0.050818307356127954,0.09949280684733428,0.16879812282506731,0.26103682575284715,0.37865539674816007,0.5242442275824679,0.7005376206811953,0.9104137891237427,1.1568948566434814,1.443146857627744,1.7724797371178451,2.148347350809056,2.5743474650506277,3.054221756845784,3.5918558138517023,4.191279134379552,4.856665127394448,5.592331112515502,6.402738320015767,7.292491890822288,8.266340876516082,9.329178239332107,10.48604085215933,11.742109498540646,13.102708872672956,14.573307579407132,16.15951813424797,17.867096963354296,19.70194440353885,21.670104702268393,23.777766017663602,26.031260418499173,28.43706388420378,31.00179630485999,33.73222148120443,36.63524712462761],[45.999476401407534,42.861748408970854,39.89829984124256,37.10222298683215,34.466754045003015,31.98527312567252,29.651304249412036,27.458515347446884,25.400718261656365,23.471868744573737,21.666066459386236,19.977554979935057,18.400721790715373,16.93009828687634,15.560359774221055,14.286325469206613,13.102958498944052,12.005365901198413,10.988798624388671,10.048651527587804,9.180463380522736,8.379916863574364,7.642838567777574,6.965198994821195,6.343112557048045,5.772837577454907,5.25077628969253,4.773474838065642,4.337623277532926,3.9400555737070464,3.577749602854638,3.2478271518963,2.947553918406605,2.6743395106140935,2.4257374474012763,2.1994451583046355,1.9933039835146218,1.8052991738756548,1.6335598908861297,1.4763592066984035,1.3321141041188074,1.1993854766076437,1.0768781282791828,0.9634407739016642,0.8580660388973002,0.7598904593422695,0.668194481966723,0.5824024641547811,0.5020826739445347,0.426947290028043,0.35685240175133626,0.2917980091144152,0.23192802277124847,0.17753026402977734,0.12903646485191078,0.08702226785352815,0.05220722630447985,0.02545480412858489,0.007772375903633122,0.0003112268613837329,0.004366552887566044,0.02137746052187923,0.052926966957992885,0.10074200004354528,0.16669339828014662,0.2527959108233744,0.36120819748277794,0.4942328287218779,0.6543162856581595,0.8440489600630858,1.06616515436208,1.3235430816345435,1.619204865613848,1.9563165406873249,2.33818805189629,2.768273254936013,3.2501699161557465,3.787619712558714,4.3845082318020925,5.044864972197052,5.772863342708706,6.572820662956168,7.449198163212489,8.406600984404715,9.449778178113863,10.583622706574893,11.81317144267677,13.143605169962388,14.580248582628649,16.128570285526422,17.794182794160513,19.582842534689735,21.50044984392683,23.553048969338587,25.74682806904564,28.088119211822708,30.583398377098447,33.23928545495544,36.06254424613032,39.0600824620136],[47.38828141008128,44.17661057459655,41.140978071813194,38.27447619034068,35.570341129442404,33.02195299903573,30.622835819692042,28.366657522636643,26.247229949748842,24.25850885356191,22.394593897263064,20.649728654693504,19.01830061034841,17.494841159376925,16.07402560758216,14.750673171421202,13.519746978005088,12.376354065098866,11.315745381121506,10.333315785145984,9.42460404689923,8.585292846762135,7.811208775769589,7.098322335610421,6.442747938627446,5.8407439078174495,5.288712476831178,4.783199789973364,4.320895902202686,3.898634779131811,3.513394297027373,3.162296242809971,2.8426063140541764,2.551734118988533,2.287233176495549,2.0468009161117062,1.828278678027457,1.6296517130872208,1.4490491827893917,1.2847441592863271,1.1351536253843584,0.9988384745437884,0.8745035108788862,0.7609974491578926,0.6573129148030189,0.5625864438904447,0.47609848315032016,0.39727338996676614,0.32567943237787306,0.2610287890757008,0.20317754940627916,0.15212571336960884,0.10801719161965878,0.07113980546436985,0.041925286865651265,0.020949278439382553,0.0089313334554138,0.006734915837564246,0.015367400163623524,0.035980071665350735,0.06986812622847581,0.11847067039269718,0.18337072135168514,0.2662952069530771,0.36911496569848434,0.4938447467434832,0.6426432098976236,0.8178129256244269,1.0218003750413769,1.2571959499199377,1.5267339526855317,1.8332925964175608,2.1798940048493973,2.569704212368371,3.0060331640157996,3.492334715486951,4.032206633131079,4.629390593951408,5.287772185605112,6.011380906403363,6.804390165311275,7.671117281947961,8.61602348658647,9.64371392015385,10.75893763423112,11.966587591053237,13.271700663509167,14.679457635141798,16.195183200148044,17.824345963378768,19.572558440338774,21.44557705718688,23.449302150735814,25.58977796845239,27.873192668457218,30.30587831952503,32.89431090108448,35.645110303218146,38.565040326662675,41.66100868280855],[48.96197184212877,45.67244059579349,42.56078654051586,39.62010196490536,36.84362306822538,34.22472996039329,31.756946661980457,29.43394110421221,27.24952512896784,25.197654488780607,23.272428846837755,21.46809177698047,19.779030763703926,18.199777202157286,16.72500639814363,15.349537568120073,14.06833383919765,12.876502249141392,11.769293746370282,10.742103189957291,9.790469349629351,8.910074905767356,8.096746449406186,7.34645448223468,6.65531341659565,6.019581575485878,5.4356611925561165,4.900098412111091,4.409583289109488,3.9609497891639673,3.551175788541167,3.177383074161685,2.8368373436000933,2.526948205084935,2.2452691774987175,1.9894976903779247,1.7574750839130073,1.5471866089483854,1.356761426982453,1.1844726101675673,1.02873714131006,0.8881159138702337,0.7613137319623574,0.6471793103546724,0.5447052744693893,0.4530281603826882,0.3714284148247192,0.2993303951796031,0.23630236948543012,0.18205651643426046,0.13644892537212377,0.09947959629902062,0.07129243986892035,0.0521752773897633,0.04255984082345898,0.04302177278588708,0.054280626546897394,0.07719986603030934,0.1127868658139124,0.16219291112946552,0.2267131978626993,0.30778683255331135,0.40699683239497286,0.5260701252353202,0.6668775495759656,0.8314338545724846,1.0218977000344274,1.240571656425316,1.489902204862633,1.7724797371178438,2.09103855561637,2.448456873437613,2.8477568143149465,3.292104412635699,3.7848096134411904,4.329326272426686,4.9292521559414375,5.588328940988676,6.310442215225571,7.099621476963295,7.960040135166962,8.896015509455689,9.912008830102518,11.0126252380345,12.202613784832655,13.486867432731938,14.870423054621316,16.358461434043686,17.956307265195942,19.669429152928966,21.50343961274755,23.464095070810515,25.557295863930598,27.789086239574594,30.165654355863136,32.69333228157093,35.37859599612666,38.228065389612894,41.24850426276626,44.44682032697725],[50.72974198933146,47.35843276434311,44.16691953913202,41.14829460230766,38.29579415313339,35.60279830152663,33.06283106805873,30.669560383955012,28.416798091094766,26.29849994201126,24.308765599891732,22.441838638577373,20.692106542563355,19.05410070699883,17.522496437686904,16.092112951084665,14.757913374303158,13.515004745107419,12.358638011916424,11.284208033803154,10.287253580494529,9.36345733237144,8.508645880468787,7.718789726475391,6.9900032827340715,6.3185448722416115,5.700816728648758,5.133364996260241,4.612879730034744,4.13619489558493,3.7002883691774344,3.3022819377328565,2.9394412988257677,2.6091760606847108,2.3090397421921947,2.036729772884702,1.7900874929526833,1.5670981532405595,1.365890915246724,1.1847388511235342,1.0220589436773218,0.8764120863683895,0.7465030833110062,0.6311806492734131,0.529437409677821,0.44040990060041,0.36337856877133,0.29776777157470197,0.243145777048616,0.19922476388513238,0.1658608214302808,0.1430539496840616,0.13094805930044454,0.12983097158736945,0.14013441850674613,0.1624340426744544,0.1974493973603438,0.24604394648823394,0.3092250646359141,0.3881440370351431,0.4840960595716522,0.5985202387851383,0.7329995918692731,0.8892610466716923,1.0691754416940091,1.2747575260917983,1.50816595967461,1.7717033129059665,2.067816066903351,2.399094613438228,2.7682732549360196,3.178230204476126,3.6319875857919235,4.132711433270738,4.68371169195389,5.2884422175366455,5.9505007763682585,6.673629045451953,7.461712612444905,8.318780975658289,9.24900754405721,10.256709637260789,11.34634848554207,12.522529229828105,13.790000921699914,15.153656523392446,16.618532907794677,18.18981085844949,19.872815069553795,21.67301414595847,23.59602060316829,25.647590867342103,27.833625275292633,30.160168074486666,32.63340742304485,35.259675389741886,38.04544795400646,40.997345005921126,44.12213034622252,47.42671168630116],[52.701185895287296,49.24418112384337,45.96897111125961,42.8686481461455,39.936448427764404,37.16575206603373,34.55008308152482,32.08310940546301,29.758642879727603,27.570639256851845,25.513198200022977,23.580563283082185,21.767121990524664,20.067405717499547,18.476089769809942,16.987993363912945,15.598079626919588,14.30145559659492,13.093372221357914,11.96922436028154,10.924550783092732,9.955034170172379,9.056501112555374,8.22492211193054,7.4564115806407,6.747227841682634,6.093773128707092,5.492593586018801,4.940379268576445,4.433964141992689,3.9703260825341653,3.5465868771214755,3.1600122233291907,2.8080117293858535,2.4881389141739723,2.1980912072300303,1.9357099487444782,1.6989803895617364,1.4860316911801987,1.2951369257522223,1.1247130760841388,0.9733210356362509,0.8396656085228275,0.7225955095121102,0.6211033640263093,0.5343257081416051,0.4615429885881476,0.40217956275005773,0.3558036986654254,0.32212757502631106,0.3010072811787444,0.2924428171227257,0.29657809351222486,0.3137009316551814,0.3442430635135054,0.3887801317030767,0.44803168949374467,0.5228612008093291,0.6142760402276191,0.7234274929803732,0.8516107549533235,1.0002649326861661,1.1709730433725734,1.3654620148601802,1.5856026856506007,1.8334098048994085,2.1110420324161545,2.420801938664362,2.7651360047615117,3.146634622479071,3.5680320942424593,4.032206633131079,4.542180362878304,5.101119317871463,5.712333443151875,6.379276594414804,7.1055465380095075,7.894884950939211,8.751177420861083,9.678453446086305,10.680886435579978,11.762793708961226,12.928636496503092,14.183019939132627,15.530693088430851,16.976548906632715,18.52562426662719,20.18309995195717,21.954300656819555,23.844694986065214,25.859895455198952,28.005658490379584,30.287884428419854,32.71261751678655,35.286045913600304,38.01450168763582,40.90446081832181,43.962543195740786,47.195512620629415,50.6102768043782],[54.886297355410875,51.33967946970884,47.97693505231324,44.79115639183348,41.77557968753299,38.92358504932915,36.22869649779331,33.684581964150816,31.285053290280935,29.024066228716933,26.89572044264606,24.89425950590951,23.014070903002434,21.249686029074013,19.595780189927336,18.047172602019494,16.598826392461525,15.24584859901848,13.983490170109327,12.807145964807042,11.71235475283855,10.694799214584748,9.750305941080525,8.874845434014706,8.064532105730112,7.3156242792235275,6.624524188145694,5.987777976801349,5.402075700149168,4.86425132380182,4.371282724025937,3.92029168774212,3.5085439125249396,3.1334490066029397,2.792560488858628,2.483575788828487,2.204336246702969,1.9528271133264932,1.7271775501974538,1.5256606294682076,1.3466933339450868,1.1888365570883939,1.0507951030123974,0.9314176864853396,0.8296969329294301,0.7447693784208498,0.6759154696897482,0.6225595641202467,0.5842699297504348,0.5607587452723731,0.5518821000320915,0.5576399940295897,0.5781763379188385,0.6137789530077766,0.6648795712583142,0.7320538352863317,0.8160212983616779,0.917645424408173,1.0379335880036056,1.1780370743797344,1.3392510794222923,1.5230147096709739,1.7309109823194533,1.9646668252153636,2.2261530768603204,2.517384486409896,2.840519713673643,3.1978613291150833,3.591855813851698,4.025093559654955,4.500308868950272,5.020379954817053,5.5883289409886725,6.207321861852456,6.880668662449727,7.611823198475748,8.404383236279774,9.262090452865031,10.188830435888693,11.18863268366193,12.265670605149857,13.42426151997159,14.668866658400173,16.004091161362656,17.43468408044006,18.96553837786734,20.601690926533458,22.348322509981312,24.210757822407803,26.194465468663807,28.30505796425412,30.54829173533756,32.93006711872687,35.456428361888825,38.13356362294408,40.96780497066734,43.96562838448729,47.13365375448648,50.47864488140154,54.00750947662299],[57.2954699169334,53.65532134917076,50.201204909524094,46.92621288660283,43.82358147967038,40.886690798644125,38.10906486409542,35.4843716072496,33.00642286998595,30.66917440483773,28.466725874992186,26.393320854290508,24.44334682722787,22.611335188953426,20.89196124527027,19.280044212635502,17.77054721816016,16.358577299609284,15.03938540540185,13.808366394610834,12.661059036963161,11.593146012839723,10.60045391327542,9.678953239959066,8.824758405233487,8.034127732095461,7.303463454195743,6.629311715839058,6.0083625719840885,5.437449988243498,4.913551840883922,4.433789916825961,3.9954299136441866,3.595881439567141,3.2326980134773318,2.903577064911243,2.606359934059325,2.3390318717659992,2.099722039529658,1.886703509502659,1.6983932644913344,1.5333521979559868,1.390285114010884,1.2680407274242693,1.1656116636183513,1.0821344586693118,1.0168895593072997,0.9693013229164368,0.938938017534812,0.9255118218544865,0.92887882522149,0.9490390276358222,0.9861363397514538,1.0404585828763233,1.1124374889723416,1.2026487006553888,1.3118117711953132,1.4407901645159356,1.5905912551950443,1.762366328464398,1.9574105802097297,2.177163116970734,2.4232069559410854,2.697269024968416,3.0012201625543424,3.337075117854437,3.70699255067825,4.113275031489307,4.558369041405086,5.0448649721970575,5.575497126290637,6.153143716765229,6.78082686735421,7.461712612444902,8.199110897078633,8.99647557695066,9.85740441841024,10.785639098460605,11.785065204758917,12.85971223561636,14.01375359999804,15.251506617523072,16.5774325184645,17.996136443749386,19.512367444958734,21.13101848432751,22.85712643474467,24.695872079753123,26.65258011354976,28.732719140985456,30.941901677565003,33.28588414944724,35.77056689344488,38.40199415702473,41.18635409830742,44.12997878606767,47.23934419973415,50.52107022938941,53.98192067577011,57.62880325026673],[59.93949687890255,56.201900061276795,52.65257398193986,49.28461092950121,46.091247103224234,43.06586261302632,40.20198147947881,37.493271633807055,34.933544917890345,32.516757084261926,30.237007796109054,28.088540627272906,26.065743062248664,24.163146496185476,22.375426234886454,20.697401494808673,19.12403540306319,17.65043499741504,16.271851226283196,14.983678948740636,13.781456934514283,12.660867863985032,11.617738328187778,10.648038828811343,9.747883778198545,8.913531499346169,8.141384225904963,7.427988102179658,6.770033183128932,6.1643534343654505,5.607926732155851,5.09787486342073,4.631463525734661,4.206102327326187,3.819344787077816,3.4688883345260297,3.1525743098612797,2.8683879639279874,2.614458458224546,2.389058864903311,2.190606166770617,2.0176612572867647,1.8689289405660232,1.743257931376635,1.639640855140809,1.557214247934727,1.4952585564885377,1.4531981381863635,1.4306012610662924,1.4271801038203864,1.4427907557946749,1.4774332169891573,1.531251398057805,1.6045331203085558,1.6977101157033208,1.8113580268579803,1.946196407042383,2.1030887201803488,2.283042340849666,2.487208554282094,2.716882556363365,2.9735034536331746,3.258654263285197,3.5740619131670632,3.921597241780392,4.303274998280753,4.721253842477699,5.177836344834755,5.675468986469397,6.216742159153097,6.804390165311272,7.4412912180233235,8.130467441022631,8.875084868696513,9.678453446086301,10.54402702888725,11.475403383448619,12.476324186773635,13.550675026519466,14.702485400997293,15.935928719172221,17.255322300663373,18.66512737574378,20.169949085340505,21.774536481034566,23.483782525060924,25.302724090308523,27.236541960320288,29.290560829293092,31.47024930207783,33.78121989417928,36.22922903175628,38.82017705162156,41.56010820124192,44.455210638737974,47.511816432884444,50.73640156311002,54.135585919497245,57.71613330278278,61.48495142435709],[62.82957129218271,58.99060865689133,55.34223532042492,51.877543571393,48.58976960905893,45.47229354334011,42.51863939480788,39.72247509468756,37.077612484858484,34.57800731785389,32.21775925686102,29.991111875721046,27.89245265892917,25.91631300163453,24.057368209640238,22.310437499403374,20.67048399803498,19.13261474330011,17.69208068361772,16.344276678060798,15.084741496356267,13.90915781888502,12.81335223668195,11.793295251435882,10.845101275489634,9.965028631839992,9.149479554137697,8.395000186687488,7.698280584448041,7.05615471303202,6.465600448706062,5.923739578390766,5.427837799660704,4.975304720744418,4.563693860524419,4.190702648537186,3.854172424973171,3.552088440676796,3.282579857146454,3.043919746534501,2.834525091647271,2.6529567859450647,2.4979196335421507,2.368262349206773,2.262977558361139,2.1812017970814317,2.1222155120977986,2.085443060794363,2.070452711209213,2.0769566420344097,2.104810942615983,2.1540156129539327,2.2247145637022303,2.317195616168812,2.4318905023155906,2.569374864758446,2.7303682567672265,2.915734142265752,3.1264798958318116,3.363756802697163,3.6288600587475415,3.9232287705226394,4.248445955216132,4.606238540675651,4.998477365402815,5.427177178553192,5.894496639936339,6.402738320015774,6.954348699908979,7.5519181713874275,8.198181036876527,8.896015509455689,9.648443712858288,10.458631681471644,11.32988936033709,12.265670605149875,13.269573182259263,14.345338768668483,15.496852952034702,16.728145230669096,18.04338901353677,19.44690162025685,20.943144281102377,22.536722137000396,24.23238423953193,26.035023550931943,27.949676944089397,29.98152520254717,32.13589302050218,34.41824900280532,36.83420566496133,39.389519433129095,42.0900906441213,44.94196354540478,47.95132629510013,51.12451096198208,54.46799352547932,57.98839387567439,61.69247581330394,65.58714704975847],[65.97728595945473,62.0330399386952,58.28178172766014,54.71660361495906,51.330741799855346,48.11757639226636,45.07063141276346,42.183574792571996,39.45021837357125,36.864517908294495,34.42057305992896,32.11262740231582,29.935068419950277,27.882427507981475,25.94937997221251,24.130745029100474,22.421485805756415,20.816709339945362,19.311666580086303,17.901752385252202,16.582505525169996,15.349608680220571,14.19888844143882,13.126315310513572,12.12800369978764,11.200211932257817,10.339342241574837,9.541940772043441,8.804697578622308,8.1244466269241,7.498165793215451,6.922976864416965,6.396145538103211,5.915081422502731,5.477338036498036,5.080612809625608,4.722747082075895,4.4017261046933225,4.115679038976281,3.8628789570771263,3.641742841802194,3.4508315866117845,3.288849995620165,3.1546467835955814,3.04721457596024,2.9656899087903237,2.909353228815981,2.8776288934213343,2.870085170644471,2.8864342391774547,2.9265321883663127,2.990379018211046,3.0781186393656257,3.190038873137989,3.326571451490047,3.488292017037681,3.675920123050738,3.8903192334530403,4.132496722822375,4.403603876390499,4.70493589004315,5.037931870320018,5.404174834414782,5.805391710175068,6.243453336102499,6.720374461352643,7.238313745735053,7.799573759713253,8.40660098440472,9.061985811580929,9.768462543667289,10.528909393743207,11.346348485542064,12.223945853451175,13.165011442511874,14.172999108419413,15.251506617523054,16.404275646826022,17.63519178398549,18.94828452731263,20.347727285772557,21.837837378984382,23.42307603722115,25.108048401409917,26.897503523131697,28.796334364621444,30.809577798768135,32.94241460911465,35.2001694898579,37.58831104584877,40.11245179259201,42.778348156246516,45.591900473624946,48.55915299219416,51.68629387007474,54.97965517604142,58.44571288952288,62.091086900601674,65.92254101001444,69.9469829291517],[69.3946334352162,65.34118646118597,61.483205758143086,57.81378361469696,54.326156230111,51.013703714302615,47.86995008784313,44.8885632819579,42.0633551385262,39.3882814100813,36.85744175981041,34.465079761554776,32.20558289980953,30.073482569723836,28.0634540771008,26.170316638397516,24.389033380725007,22.714711341848336,21.142601470186474,19.66809862481238,18.286741575453,16.994213002489214,15.786339496955918,14.659091560541938,13.608583605590095,12.63107395509717,11.722964842713907,10.880802412745043,10.101276720149254,9.381221730539208,8.717615320181537,8.107579275996843,7.548379295559697,7.037424987098642,6.5722698694961865,6.150611372288811,5.7702908356669695,5.429293510475081,5.125748558211539,4.8579290510287025,4.6242519717329005,4.423278213784437,4.25371258129758,4.114403789040574,4.004344462435625,3.922671137558917,3.8686642611405975,3.8417481905647892,3.841491193869581,3.867605449747034,3.9199470475431775,3.9985159872580103,4.103456179545506,4.2350554457136,4.393745517724206,4.580102038193202,4.794844560390436,5.03883654823973,5.313085376318873,5.6187423298596215,5.957102604747712,6.329605307522835,6.7378334553786665,7.183513976162838,7.668517708376971,8.194859401176629,8.764697714371371,9.380335218424717,10.044218394454145,10.758937634231133,11.527227240181084,12.351965425383412,13.236174313571492,14.183019939132642,15.195812247108195,16.278005093193403,17.433196243737527,18.6651273757438,19.97768407686938,21.374895845425456,22.860936090377123,24.44012213134351,26.116915198597653,27.895920433066607,29.781886886331403,31.779707520626978,33.89441920884231,36.13120273452027,38.49538279185779,40.99242798570573,43.6279508315689,46.4077077556061,49.33759909463008,52.42366909610762,55.67210591815937,59.08924162956002,62.68155220973829,66.4556575487767,70.4183214474119,74.5764516170344],[73.09400602578107,68.92744053067767,64.95889971818772,61.18147587692068,57.588405206139946,54.1730678157629,50.928987726360894,47.84983286915927,44.92941508603731,42.161690129528274,39.54075766281941,37.0608612597519,34.71638840482093,32.501870493175645,30.41198283061913,28.441544633608522,26.58551902925481,24.839013055323072,23.197277660232263,21.655707703055363,20.209841953519316,18.85536309200498,17.588097709547277,16.40401630783502,15.299233299211028,14.270007006672085,13.312739663868943,12.423977415106329,11.600410315342923,10.83887233019139,10.136341335918365,9.489939119444447,8.896931378344211,8.3547277208462,7.860881665832915,7.413090642840845,7.00919599206044,6.647182964336121,6.325180721166282,6.041462334703275,5.794444787753438,5.582688973777074,5.404899696888446,5.2599256718558,5.146759524101345,5.064537789701263,5.012540915385699,4.99019325853878,4.997063087198593,5.0328625800572,5.097447826460629,5.1908188264088775,5.313119490555922,5.4646376402096974,5.645805007332115,5.857197234539056,6.0995338751003665,6.373678392939872,6.680638162635354,7.021564469418574,7.397752509175268,7.810641388445126,8.26181412442183,8.752997644953002,9.286062788540267,9.86302430433919,10.486040852159325,11.157415002464202,11.879593236371292,12.655165945652069,13.486867432731948,14.37757591069033,15.3303135032606,16.34824624483007,17.43468408044008,18.59308086578587,19.827034367216708,21.14028626173583,22.53672213700039,24.020371491321583,25.595407733664484,27.266148183648255,29.037054071545906,30.912730538284503,32.897926635445074,34.99753532526253,37.21659348062592,39.56028188507805,42.033925232815854,44.64299212869024,47.39309508820596,50.28999053752187,53.339578813450665,56.54790416345917,59.92115474566801,63.465662628851895,67.1879037924395,71.0944981265134,75.19220943181023,79.48794541972048],[77.08819578928008,72.80459420530096,68.72165566592477,64.83247245976094,61.13028078607286,57.6084607547779,54.26053638644744,51.08017561230682,48.0611902742353,45.19753612476616,42.48331282708663,39.91276395503792,37.480276993115176,35.180383336467585,33.0077582908982,30.95722107286418,29.023734809476498,27.202406538500238,25.488487208354357,23.87737167811184,22.364598717499618,20.945851006898558,19.61695513734358,18.373881610523494,17.212744838781123,16.12980314511325,15.121458763170628,14.18425783725798,13.31489042233399,12.510190484011321,11.767135898556608,11.082848452890453,10.454593844587428,9.879781681876073,9.355965483638895,8.880842679412382,8.452254609386982,8.068186524407118,7.72676758597118,7.426270866231522,7.165113347994485,6.941855924720367,6.755203400523436,6.604004490171935,6.487251819088073,6.404081923348032,6.353775249681959,6.33575615547398,6.34959290876218,6.394997688238623,6.471826583249336,6.580079593794319,6.719900630527547,6.891577514756952,7.095541978444448,7.332369664205917,7.602780125311205,7.9076368256841345,8.24794713990249,8.624862353198033,9.039677661456498,9.493832171217576,9.988908899674946,10.526634774676236,11.108880634723068,11.737661228971003,12.4151352172296,13.14360516996239,13.925517568286837,14.763462803974424,15.66017517945056,16.618532907794645,17.64155811274007,18.732416828674143,19.8944190006382,21.13101848432749,22.445813046091278,23.842544362932802,25.325098022509206,26.897503523131693,28.56393427376534,30.328707594029304,32.196284714196594,34.17127077519428,36.258414828603385,38.462609836658835,40.788892672249645,43.24244411891866,45.8285888708628,48.55279553293297,51.42067662063392,54.437988560124495,57.610631688217424,60.94465025237952,64.44623241073137,68.12171023204772,71.97755969575725,76.02040069194253,80.25699702134015,84.69425639534067],[81.39039453566046,76.98583929500317,72.78466541130152,68.77996517316498,64.964974779857,61.333074341294896,57.87778787805005,54.592783321347795,51.471872513067424,48.5090112057422,45.69829906255935,43.03397965736007,40.510440474639545,38.12221290954691,35.86397226788527,33.73053776611175,31.716872531337334,29.81808360132711,28.029421924500024,26.34628235992907,24.764203677341175,23.278868557117207,21.886103590292088,20.58187927855462,19.362310034247646,18.223654180367923,17.162313950566222,16.174835489147256,15.257908851069717,14.408368001946261,13.623190818043529,12.89949908628212,12.234558504236603,11.625778680135527,11.070713132861389,10.567059291950683,10.112658497593854,9.705496000635323,9.34370096257349,9.025546455560699,8.749449462403295,8.513970876561576,8.317815502149806,8.159832053936235,8.039013157343065,7.954495348446485,7.905559073976636,7.891628691317646,7.912272468507599,7.967202584238564,8.056275127856562,8.179490099361594,8.336991409407638,8.529066879302624,8.756148241008466,9.018811137141046,9.31777512097021,9.653903656419782,10.028204118067546,10.44182779114526,10.896069871538662,11.392369465787443,11.932309591085284,12.517617175279806,13.150163056872634,13.831961985019333,14.56517261952946,15.352097530866544,16.19518320014805,17.097020019145464,18.06034229028419,19.08802822664363,20.183099951957175,21.348723500612138,22.588208817649843,23.90500975876555,25.302724090308516,26.78509348928199,28.356003543343103,30.01948375080307,31.77970752062696,33.64099217243393,35.60779893649699,37.684732953743215,39.876543275753626,42.188122864763145,44.62450859366079,47.19088124598941,49.89256551594591,52.73503000838121,55.72388723880005,58.8648936333613,62.163949528877644,65.62709917281592,69.26053072329674,73.07057624909481,77.06371172963883,81.24655705501135,85.625876025949,90.20857635384229],[86.01419382668605,81.48476736154801,77.16152051608174,73.03754557889664,69.10607874925614,65.36050013707766,61.7943337629325,58.401247558046016,55.17505336429749,52.109706934220185,49.19930793100135,46.43809992848217,43.820470411157814,41.340950774177436,38.99421632334413,36.77508627511503,34.678523756601116,32.699635805567475,30.833673370433054,29.076031310270846,27.42224839480778,25.868007304424726,24.4091346301566,23.04160087369221,21.761520447374384,20.565151674199903,19.448896787819525,18.409301932537957,17.443057163313902,16.54699644576001,15.71809765614293,14.95348258138325,14.250416919055544,13.606310277388362,13.0187161752642,12.48533204221955,12.003999218444859,11.572702954784551,11.189572412737018,10.852880664454611,10.561044692743673,10.312625391064504,10.106327563531362,9.940999924912504,9.815635100630129,9.729369626760425,9.681483950033531,9.67140242783358,9.698693328198656,9.763068829820822,9.864385022046106,10.002641904874505,10.177983388959996,10.390697295610513,10.641215356787969,10.930113215108243,11.258110423841183,11.626070446910614,12.035000658894317,12.486052345024051,12.980520701185558,13.519844833918524,14.105607760416634,14.739536408527503,15.423501616752763,16.15951813424798,16.949744620822695,17.79648364694046,18.702181693718725,19.669429152928977,20.700960326996615,21.79965342900107,22.968530582675697,24.210757822407828,25.529645093238784,26.928646250863824,28.4113590616322,29.98152520254717,31.64303026126586,33.39990373609949,35.25631903601312,37.21659348062592,39.285188300210876,41.466708635695085,43.765903538659565,46.187665971339236,48.73703280662312,51.41918482805404,54.239446729828934,57.20328711679872,60.316318504468114,63.58429731899601,67.01312389719507,70.60884248653215,74.37764124512786,78.3258522417569,82.45995145584797,86.78655877748363,91.31243800740049,96.04449685698907],[90.97358497593724,86.31536971851595,81.86621229384583,77.6192049905363,73.56758400785077,69.70472945570663,66.02416535467522,62.519559635981885,59.18472414150591,56.013614623780555,53.00033074599307,50.139116081984625,47.42435811625041,44.85058824393957,42.412481770855216,40.10485791345445,37.922679798848264,35.86105446480176,33.91523285973388,32.0806098427176,30.352724183479868,28.727258562401534,27.200039570517536,25.76703770951667,24.424367391741775,23.168286940189617,21.995198588510956,20.901648481010508,19.88432667264697,18.940067129032997,18.065847726435234,17.25879025177426,16.51616040262467,15.835367787215,15.213965924427747,14.649652243799403,14.14026808552042,13.683798700435217,13.27837325004219,12.922264806493684,12.613890352596044,12.351810781809572,12.134730898248531,11.961499416681166,11.831108962529685,11.742696071870272,11.69554119143307,11.689068678602212,11.722846801415773,11.796587738565828,11.910147579398396,12.063526323913477,12.256867882765052,12.490460077261048,12.764734639363382,13.080267211687936,13.437777347504552,13.838128510737056,14.282328075963232,14.771527328414837,15.307021463977616,15.89024958919125,16.522794721249426,17.20638378799976,17.942887627943886,18.73432099023736,19.582842534689743,20.490754831764566,21.460504362579286,22.494681518905395,23.59602060316829,24.767399828447395,26.011841318476076,27.33251110764166,28.732719140985463,30.21591927420275,31.785709273642777,33.445830816308785,35.20016948985792,37.05275479260139,39.007760133504256,41.06950283218569,43.24244411891869,45.53118913463033,47.940486930901656,50.475230469967556,53.14045662471706,55.941346178693024,58.88322382609234,61.97155817176595,65.21196173121858,68.61019093060908,72.17214610675018,75.90387150710868,79.81155528980518,83.90152952361447,88.18027018796515,92.65439717293981,97.33067427927509,102.21600921836149],[96.28295904881098,91.49203743130397,86.91313180999077,82.53933447348095,78.3638816210378,74.38015336257877,70.58167371867518,66.96211062055238,63.51527591008965,60.23512533982026,57.11575857293144,54.1514191832644,51.3364946553143,48.665516384230294,46.13315967581548,43.73424374652695,41.46373172347575,39.31673064442693,37.288491457799466,35.37440902266629,33.57002210875438,31.871013396444603,30.273209476771868,28.772580851424983,27.365241932746777,26.047451043734025,24.815610418037487,23.66626619996188,22.596108444465894,21.601971117162186,20.68083209431741,19.829813162852133,19.046180020340955,18.327342275012413,17.670853445749007,17.07441096208722,16.535856164217506,16.053174302984296,15.62449453988597,15.248089947074881,14.922377507357378,14.645918114193755,14.417416571698277,14.235721594639193,14.099825808438705,14.008865749173003,13.962121863572225,13.959018509020504,13.999123953555921,14.082150375870546,14.2079538653104,14.376534421875482,14.58803595621977,14.842746289651197,15.141097154131677,15.48366419227709,15.871166957357282,16.304468913296077,16.784577434671256,17.312643806714586,17.889963225311796,18.517974797002584,19.198261538980624,19.93255037909354,20.722712155842963,21.570761618384452,22.47885742652756,23.44930215073582,24.4845422721267,25.587168182471682,26.759914184196163,28.00565849037957,29.327423224755268,30.728374421710583,32.21182202628684,33.78121989417929,35.44016579173718,37.19240139596379,39.04181229451623,40.99242798570571,43.04842187849733,45.21411129251022,47.493957458017384,49.89256551594591,52.414684517876815,55.06520742604505,57.849171113339565,60.77175636330328,63.83828787013307,67.05423423867984,70.42520798444835,73.95696553359747,77.6554072229399,81.52657729994242,85.57666392272569,89.8119991600644,94.2390589913873,98.86446330677683,103.69497590696972,108.73750450335643],[101.95710686252093,97.02956131712561,92.31706988173022,87.81272484494416,83.50976240603083,79.40156267490765,75.48164967214598,71.74369132897107,68.1814994872623,64.7890298995529,61.560382229030104,58.489800049535106,55.571670845563084,52.80052601226319,50.17104085543851,47.67803459154618,45.31647034769718,43.08145516165659,40.968239981843375,38.97221966733052,37.088932987844956,35.31406262376753,33.643435166133195,32.07302111663074,30.598934887602994,29.217434802046732,27.92492309361272,26.717945906605664,25.59319329598427,24.54749922736118,23.57784157700305,22.681342131830462,21.855266589417994,21.0970245579942,20.40416955644156,19.774399014296584,19.205554271749715,18.695620579645375,18.242727099481957,17.845146903411806,17.50129697424127,17.209738205430646,16.969175401094194,16.778457276000175,16.636576455570783,16.542669475882207,16.49601678366459,16.496042736302055,16.542315601832694,16.634547558948572,16.77259469699571,16.95645701597411,17.186278426537747,17.462346749994555,17.785093718306445,18.1550949740893,18.573070070612967,19.03988247180127,19.556539552231992,20.12419259713689,20.7441368024017,21.41781127456612,22.146799030823825,22.932826999022442,23.777766017663595,24.68363083590284,25.652580113549742,26.68691642106783,27.789086239574566,28.961679960841433,30.207431887293836,31.52922023201119,32.930067118726875,34.4131385818282,35.981744566356504,37.63933892800703,39.38951943312904,41.23602775872578,43.1827494924544,45.2337141326261,47.39309508820594,49.6652096788131,52.054519134720564,54.56562859685542,57.203287116798705,59.97238765678531,62.87796708970428,65.92520619909843,69.11942967916471,72.466106134754,75.97084808137107,79.63941194517476,83.4776980629778,87.49175068224697,91.68775796110293,96.0720519683204,100.65110868332799,105.43154799620834,110.42013370769803,115.62377352918759],[108.01121898609725,102.94313194501115,98.09321707809431,93.45456667395618,89.02041693186011,84.78414796172353,80.73928378411779,76.87949233026818,73.19858544205408,69.6905188720087,66.34939228331923,63.16944924982693,60.145077256026966,57.27080769706846,54.54131587875454,51.95142101754227,49.49608624054272,47.170418585520935,44.96966900089586,42.88923234574048,40.92464738978174,39.071596813400504,37.3259072076317,35.68354907416412,34.14063682534061,32.693428784157916,31.338327184266827,30.071878169972045,28.890771796232272,27.79184202866015,26.77206674352234,25.82856772773941,24.958610678885965,24.159605205190527,23.42910482553561,22.764806969457695,22.164552977147228,21.626328099448642,21.14826149786033,20.72862624453463,20.365839322277893,20.05846162455042,19.805197955466475,19.604897029794294,19.456551472956093,19.359297821028065,19.312416520740335,19.315331929477043,19.367612315276272,19.468969856830086,19.61926064348451,19.818484675239542,20.06678586274916,20.3644520273213,20.71191490091786,21.109750126154747,21.55867725630179,22.05955975528282,22.613404997675612,23.221364268711927,23.884732764277516,24.60494959091205,25.383597765809228,26.22240421681665,27.123239782435967,28.088119211822725,29.119201164786478,30.21878821179078,31.389326833953064,32.633407423044844,33.953764281491495,35.35327562237245,36.834963569421085,38.40199415702471,40.05767733022465,41.80546694471618,43.64896076684853,45.59190047362496,47.63817165270262,49.79180380239269,52.05697033166028,54.43798856012453,56.93931971805843,59.565568946389064,62.32148529669747,65.21196173121857,68.24203512284134,71.4168862551087,74.7418398222175,78.22236442901865,81.86407259101696,85.67272073437121,89.65420919589414,93.81458222305261,98.16002797396717,102.69687851741257,107.43160983281751,112.3708418102645,117.52133825049023,122.89000686488512],[114.46088574038656,109.24833963580716,104.2571637199297,99.48045028136357,94.9114355193722,90.543499543873,86.37016637543731,82.3851039452904,78.58212409531163,74.95518257803425,71.4983790566455,68.20595710498655,65.07230420755258,62.09195175949277,59.259575066610175,56.56999334536195,54.018169722859064,51.59921123686661,49.308368835803535,47.14103737874283,45.09275563541144,43.159206286190205,41.336215922114064,39.61975504487181,38.00593806680629,36.491023310914265,35.0714130108465,33.74365331090771,32.50443426605659,31.350589841905787,30.279097914721962,29.287080271425687,28.37180260959155,27.530674537448096,26.76124957387782,26.06122514841721,25.42844260125673,24.860887183240784,24.356688055867775,23.914118291290045,23.531594872313942,23.207678692399774,22.941074555661782,22.730631176868243,22.575341181441342,22.474341105457267,22.42691139564616,22.432476409392162,22.490604414733344,22.601007590361778,22.763542025623487,22.97820772051847,23.245148585700704,23.564652442478117,23.937151022812635,24.36321996932013,24.843578835270446,25.37909108458741,25.97076409184881,26.619749142286395,27.327341431785914,28.09498006688705,28.924248064783484,29.816872353322847,30.77472377100675,31.799817066990766,32.89431090108445,34.06050784375134,35.30085437610888,36.617940889928576,38.014501687635814,39.49341498231002,41.057702897684564,42.710531468146776,44.45521063873796,46.29519426515339,48.234080113742316,50.275609861508,52.42366909610756,54.682287315852214,57.05563792970702,59.54803825729117,62.16394952887763,64.9079768853935,67.7848693784198,70.79951997019144,73.95696553359747,77.26238685218067,80.72110862013804,84.33859944232044,88.1204718342326,92.0724822220334,96.20053094253556,100.5106622432059,105.009064282165,109.70206912818763,114.59615276070241,119.69793506979195,125.01417985619287,130.55179483129564],[121.32209719805238,115.96117446217715,110.82489987989986,105.9063657398299,101.19880824123067,96.69560749401955,92.39028751876793,88.27651624670109,84.3481055196984,80.59901109029308,77.02333262167232,73.61531368767739,70.36934177280341,67.27994827219955,64.34180849166891,61.54974164766859,58.89871086730962,56.38382318835706,54.00032955922987,51.74362483900101,49.609247797397444,47.59288111480003,45.69035138224369,43.897629101417216,42.21082868466346,40.62620845497918,39.140170646015136,37.74926140207605,36.45017077812063,35.23973273976149,34.114925163265326,33.07286983555268,32.11083245419816,31.226222627430303,30.416593874131614,29.679643623838565,29.013213216741615,28.415287903685194,27.88399684616769,27.41761311634145,27.01455369701282,26.673379481642094,26.39279527434355,26.17164978988541,26.008935653689896,25.903789401833208,25.855491481045462,25.8634662487108,25.927281972867306,26.046650832207042,26.221428916076036,26.451616224474286,26.737356668055767,27.078938068128416,27.476792156654135,27.93149457624882,28.443764880182318,29.014466532378442,29.644606907414975,30.335337290523682,31.087952877590304,31.90389277515452,32.78474000041003,33.73222148120443,34.74820805603936,35.834714474070395,36.993899395107064,38.22806538961292,39.539658938705415,40.931270434156055,42.4056341783902,43.96562838448731,45.61427517618074,47.354740587857805,49.19033456455985,51.1245109619821,53.16086754647383,55.30314599503831,57.55523189533263,59.92115474566803,62.40508795500958,65.01134884297645,67.7443986398416,70.60884248653214,73.6094294346291,76.75105244636741,80.03874839463604,83.47769806297788,87.07322614558981,90.83080124732277,94.7560358836815,98.85468648082484,103.1326533755655,107.59598081537035,112.25085695835992,117.10361387330897,122.16072753964625,127.4288178474542,132.91464859746952,138.6251275010827],[128.61124318357437,123.09802624860086,117.81281538248449,112.7487028738348,107.89892492191517,103.25686163664292,98.81603703858943,94.5701190589801,90.51291953969415,86.63839423326486,82.94064280287947,79.41390882237918,76.05257977625914,72.85118705966853,69.80440597841046,66.90705574894201,64.15409949837417,61.54064426447206,59.061940995654595,56.71338455099479,54.49051370021957,52.38901112370978,50.404703412500375,48.53356106828014,46.77169850339191,45.11537404083246,43.56098991425255,42.10509226795689,40.74437115690419,39.475660546707076,38.29593831363223,37.20232624460021,36.1920900371856,35.26263929961696,34.41152755077677,33.636452220201534,32.93525464808171,32.30592008526169,31.746577693239892,31.255500544168658,30.831105620854327,30.471953816757207,30.17674993599155,29.94434269332562,29.77372471418161,29.664032534635705,29.614546601418056,29.624691271912784,29.694034814157977,29.822289406845698,30.009311139321976,30.25510001158681,30.559799934294173,30.923698728752,31.347228126922207,31.83096377142067,32.37562521551723,32.98207592313573,33.65132326885393,34.38451853790361,35.18295692617049,36.04807754019428,36.98146339716864,37.98484142494121,39.06008246201361,40.20920125754139,41.43435647133412,42.73785067385534,44.12213034622249,45.589785880207074,47.14355157823447,48.78630565338412,50.521070229389395,52.35101134063761,54.27943893217009,56.309806859682084,58.44571288952285,60.69089869869566,63.04924987485762,65.52479591631997,68.12171023204773,70.84431014166013,73.69705687543012,76.68455557428479,79.81155528980518,83.08294898422619,86.50377353043686,90.07920971197998,93.81458222305255,97.71535966850541,101.78715456384337,106.03572333522524,110.46696631946371,115.08692776402567,119.90179582703165,124.91790257725637,130.14172399412865,135.5798799677309,141.23913429879983,147.12639469872587],[136.3451132732493,130.6756845713749,125.23769980398035,120.02425125967503,115.02857513772236,110.24405154803972,105.66420451119849,101.28270195842397,97.09335573159548,93.0901215832463,89.2670991765636,85.61853208538862,82.1388077942165,78.82245769819643,75.6641571031315,72.65872522547879,69.80112519234933,67.08646404150822,64.50999272137439,62.06710609102079,59.753342920174404,57.56438588921608,55.49606158918074,53.544340521757185,51.70533709928826,49.97530964477072,48.350660391855335,46.82793548484682,45.403824978703874,44.07516283903914,42.83892694211927,41.69223907486485,40.632364934850465,39.65671413030466,38.762840180109926,37.94844051380275,37.21135647157359,36.549573304266865,35.96122017338098,35.444570151068255,34.99804022013507,34.6201912740417,34.30972811690241,34.06549946348545,33.88649793921304,33.771860080161346,33.72086633306052,33.73294105529469,33.80765251490194,33.94471289057433,34.14397827165789,34.40544865815263,34.729267960712505,35.115724000645464,35.5652485099134,36.07841713113223,36.65594941757177,37.29870883315586,38.00770275246227,38.784082460722765,39.62914315382308,40.54432393830291,41.53120783135595,42.59152176082979,43.72713656522608,44.94006699370038,46.23247170606222,47.60665327277518,49.065058174956675,50.61027680437823,52.245043463465215,53.97223636529707,55.79487763360716,57.716133302782794,59.73931331786531,61.86787153454996,64.105405719186,66.4556575487767,68.92251261097917,71.51000040410462,74.22229433711813,77.06371172963885,80.03871381193981,83.15190572494805,86.40803652024464,89.81199916006447,93.36883051729653,97.08371137548373,100.96196642882295,105.00906428216508,109.2306174510149,113.63238236153126,118.22025935052682,123.00029266546852,127.97867046447683,133.16172481632654,138.5559317004464,144.1679110069188,150.00442653648054,156.07238600052202],[144.54089679518998,138.71133875861221,133.11674247250025,127.75020022546343,122.6049482167652,117.67436655632295,112.951979264708,108.43145427314572,104.10660342351538,99.9713824683503,96.01989107083762,92.24637280481862,88.64521515478837,85.21094951589613,81.93825119394495,78.82193940539192,75.85697727734808,73.03847184757852,70.36167406450215,67.82197878719198,65.41492478537491,63.136194739431865,60.98161524039773,58.94715678996131,57.02893380046545,55.22320459490691,53.52637140693646,51.9349803808588,50.44572157163265,49.055428944870634,47.76108037683942,46.5597976544596,45.44884647530572,44.42563644760637,43.487721090244015,42.63279783275516,41.858708015330244,41.16343688881369,40.54511361470391,40.00201126515323,39.532546822968015,39.13528118160855,38.80891914518909,38.5523094284779,38.36444465689717,38.24446136652311,38.19164000408585,38.20540492696951,38.28532440321217,38.43111061150592,38.64261964119677,38.919851492284714,39.262950075423745,39.67220321192178,40.14804263374074,40.6910439834965,41.301926814458916,41.98155459055181,42.73093468635296,43.55121838709412,44.443700888661034,45.4098212975934,46.451162631084905,47.56945181698313,48.76655969378975,50.0445010106603,51.40543442740434,52.85166251448541,54.38563175302097,56.00993253478249,57.72729916219539,59.540609848339095,61.452886716946956,63.467295802406305,65.58714704975847,67.8158943146987,70.15713536357623,72.61461187339437,75.1922094318102,77.89395753713494,80.7240295983337,83.68674293502556,86.78655877748363,90.02808226663488,93.41606245406041,96.95539230199515,100.65110868332803,104.50839238160196,108.53256809101386,112.7291044164146,117.10361387330897,121.6618528878558,126.40972179686779,131.3532648478118,136.4986701988084,141.85226991863232,147.42053998671227,153.2101002931308,159.22771463862452,165.48029073458392],[153.21618282932616,147.22257789024255,141.4675324679739,135.94413885112976,130.64563323897343,125.56539574142228,120.6969503790477,116.03396508307506,111.57025169538362,107.29976596850658,103.21660756563129,99.31502006059885,95.58939093790451,92.03425159269736,88.64427733078054,85.41428736861111,82.33924483330013,79.41425676261265,76.63457410496764,73.99559171943805,71.49284837575084,69.12202675428688,66.87895344608108,64.75959895282226,62.76007768685322,60.876647971170755,59.10571203942564,57.44381603592256,55.88765001562024,54.4340479441313,53.079987697722416,51.82259106331415,50.6591237384811,49.58699533145181,48.60375936110878,47.70711325698848,46.89489835928138,46.165099918831885,45.51584709713841,44.94541296635329,44.45221450928287,44.03481261938746,43.6919121007813,43.42236166823266,43.22515394716373,43.09942547365071,43.04445669442374,43.05967196686694,43.1446395590184,43.29907164957019,43.52282432786832,43.815897593912794,44.1784353583576,44.61072544251067,45.1131995783339,45.68643340844319,46.33114648610839,47.048202275253296,47.83860815045571,48.703515396947395,49.644219210614075,50.66215869799545,51.75891687628521,52.93622067333096,54.19594092763434,55.5400923883509,56.970833715290176,58.49046747891576,60.101440160345064,61.8063421513496,63.60790775435475,65.50901518243994,67.51268655933853,69.62208791943787,71.84052920777928,74.17146428005799,76.61849090262326,79.18535075247839,81.87592941728045,84.69425639534067,87.64450509562415,90.73099283775002,93.95818085199129,97.33067427927503,100.85322217118227,104.53071748994797,108.36819710846106,112.37084181026447,116.54397628955508,120.89306915118378,125.42373291065533,130.14172399412865,135.05294273841636,140.1634333909853,145.4793841099561,151.00712696410346,156.75313793285613,162.72403690629653,168.92658768516145,175.36769798084129],[162.38896020740424,156.22739079801227,150.30805862214777,144.62405596842035,139.16861903609333,133.93512793508407,128.9171066859639,124.10822321995826,119.50228937894637,115.09326091546149,110.87523749269087,106.84246268447572,102.98932397531118,99.31035276034643,95.80022434538455,92.45375794688266,89.26591669195174,86.23180761835694,83.34668167451711,80.60593371950532,78.00510252304846,75.53987076552741,73.20606503797707,70.99965584208628,68.91675759019785,66.95362860530855,65.10667112106916,63.37243128178439,61.74759914241292,60.22900866856741,58.81363773651451,57.4986081331748,56.28118555612287,55.15877961358727,54.12894382445047,53.18937561824899,52.33791633517327,51.57255122606772,50.89140945243076,50.29276408641471,49.775032110825926,49.33677441912471,48.976695815425316,48.69364501449602,48.486614641759,48.35474123329043,48.29730523582049,48.31373100673328,48.403586814066884,48.56658483651339,48.80258116341881,49.111575794783136,49.493712641260366,49.94927952415841,50.478708175439195,51.082574237718596,51.76159726426645,52.5166407190066,53.34871197651682,54.258962322028864,55.24868695142848,56.31932497125536,57.47245939870317,58.70981716161955,60.03326909850611,61.44482995851842,62.946658401466046,64.54105699781252,66.23047222867527,68.01749448582581,69.90485807168955,71.89544119934587,73.99226599252819,76.19849848562379,78.51744862367406,80.95257026237417,83.50746116807342,86.18586301777505,88.99166139913622,91.92888581046812,95.0017096607358,98.21445026955848,101.57156886720911,105.07767059461474,108.73750450335649,112.55596355566921,116.53808462444196,120.68904849321751,125.01417985619287,129.5189473182189,134.20896339480032,139.0899845120961,144.16791100691879,149.44878712673534,154.93880102966625,160.6442847844863,166.57171437062422,172.72770967816248,179.1190345078378,185.7525965710406],[172.0776175129868,165.74416606548394,159.65670951858445,153.80834016089784,148.1922941916876,142.80195172087093,137.63083676901928,132.67261726735802,127.92110505776641,123.37025589277769,119.01416943557909,114.84708926001186,110.86340285057109,107.05764160240602,103.4244808213197,99.95873972376926,96.65538143686565,93.50951299837406,90.5163853567133,87.67139337095648,84.97007581083047,82.40811535671614,79.9813385996484,77.6857160413161,75.51736209406204,73.472535080883,71.54763723542972,69.73921470200698,68.0439575355734,66.45869970174168,64.98041907677843,63.606237447604265,62.333420511793754,61.15937787757545,60.08166306383183,59.097973500099414,58.20615052656865,57.404179394083926,56.690189264143676,56.06245320890021,55.5193882111599,55.05955516438304,54.68165887268388,54.384548050830695,54.167215324245674,54.02879722900499,53.96857421183879,53.98597063013123,54.08055475192037,54.252038755898276,54.50027873141098,54.82527467845847,55.227170507694744,55.70625404042771,56.26295700861931,56.897855054885405,57.61166773249583,58.40525850537444,59.279634748098985,60.23594774590125,61.275492694666966,62.399708700935825,63.610178781901496,64.90862986541163,66.29693278996781,67.77710230472562,69.35129706949463,71.02181965473837,72.79111654157427,74.66177812177384,76.63653869776249,78.71827648261961,80.9100136000786,83.21491608452675,85.63629388100547,88.17760084520988,90.84243474348933,93.63453725284705,96.55779396094019,99.61623436607994,102.81403187723134,106.15550381401363,109.64511140669974,113.28745979621674,117.08729803414575,121.0495190827216,125.17915981483335,129.4814010140238,133.96156737448993,138.6251275010826,143.4776939093066,148.52502302532076,153.77301518593777,159.22771463862452,164.8953095415015,170.78213196334346,176.8946578835792,183.2395071922912,189.8234436902161,196.65337508874435],[182.30094308145348,175.79169202803712,169.53227349266348,163.51577976394188,157.73544704113573,152.18465543416247,146.85692896359348,141.74593556065392,136.84548706722327,132.1495392358347,127.65219172967554,123.34768812258683,119.23041589906383,115.29490645425571,111.53583509396555,107.94802103465047,104.52642740342144,101.26616123804352,98.16247348693577,95.21075900917106,92.40655657447641,89.74554886323261,87.22356246647466,84.83656788589127,82.58067953382535,80.45215573327364,78.4473987178869,76.56295463196987,74.79551353048124,73.14190937903365,71.59912005389371,70.16426734198207,68.83461694087326,67.60757845879589,66.4807054146324,65.4516952379193,64.51838926884705,63.67877275826004,62.93097486765669,62.27326866918933,61.70407114566433,61.22194319054197,60.82558960793651,60.51385911261622,60.28574433000329,60.140381796173905,60.07705195785821,60.095179172440325,60.194331707958355,60.37422174310435,60.63470536722434,60.975782580318324,61.39759729304027,61.900437326698125,62.4847344132538,63.15106419532316,63.90014622617606,64.73284396973634,65.65016480058176,66.6532600039441,67.74342477570907,68.9220982224164,70.19086336125973,71.5514471200867,73.00572033739896,74.55569776235203,76.20353805475548,77.95154378507287,79.80216143442162,81.75798139457324,83.82173796795314,85.99630936764072,88.28471771736933,90.69012905152633,93.21585331515305,95.86534436394473,98.64219996425061,101.550161793074,104.59311543807192,107.7750903975557,111.10026008049033,114.57294180649504,118.19759680584274,121.97883021946063,125.92139109892963,130.03017240648467,134.31021101501486,138.7666877080629,143.40492717982585,148.23039803515456,153.24871278955374,158.46562786918227,163.8870436108529,169.5190042620324,175.3676979808414,181.43945683605463,187.74075680710075,194.27821778406232,201.05860356767602,208.08882186933226],[193.078125,186.38915677286778,179.95393863158068,173.76556286474815,167.8172656716337,162.10242716215456,156.6145713568821,151.34736618704176,146.2946234945128,141.45029903182842,136.8084924621759,132.36344735939645,128.10955120798516,124.0413354030913,120.1534752505179,116.44078996672208,112.89824267881481,109.52094042456129,106.3041341523803,103.24321872134492,100.33373290118212,97.5713593722727,94.95192472565155,92.4713994630076,90.12589799668359,87.9116786496763,85.8251436556365,83.86283915886892,82.02145521433225,80.29782578763913,78.6889287550562,77.19188590350406,75.80396293055728,74.52256944444443,73.345258964048,72.26972891890446,71.2938206492043,70.41551940579188,69.63295435016565,68.94439855447791,68.34826900153504,67.84312658479735,67.42767610837905,67.10076628704844,66.86138974622772,66.70868302199304,66.64192656107457,66.66054472085642,66.76410576937671,66.95232188532748,67.22504915805474,67.58228758755853,68.0241810844928,68.55101747016548,69.16322847653849,69.86138974622772,70.64622083250299,71.51858519928814,72.47949022116097,73.5300871833532,74.67167128175065,75.90568162289291,77.2337012239737,78.65745701284067,80.17881982799537,81.79980441859345,83.52256944444443,85.34941747601185,87.28279499441315,89.32529239141984,91.4796439694573,93.74872794160497,96.1355664315962,98.64332547381831,101.2753150133127,104.0349889057745,106.92594491755305,109.95192472565157,113.11681391772723,116.42464199209121,119.87958235770856,123.48595233419852,127.24821315183401,131.17096995154208,135.2589717849039,139.51711161415426,143.95042631218226,148.5640966625306,153.3634473593964,158.35394700763044,163.54120812273752,168.93098713087647,174.52918436885994,180.3418440841549,186.37515443488184,192.63544748981542,199.12919922838452,205.8630295406716,212.84370222741325,220.078125]],"colorbar":{"len":480,"lenmode":"pixels","y":0.0,"yanchor":"bottom"},"colorscale":"Viridis"},{"type":"scatter","name":"Global Minima","mode":"markers","x":[1.0],"y":[0.5],"marker":{"symbol":"diamond","size":10,"line":{"width":3.0,"color":"rgba(255, 0, 255, 1.0)"},"color":"rgba(255, 255, 255, 1.0)"}}],"layout":{"title":{"text":"Function: perm_0_d_beta"},"width":800,"height":800,"xaxis":{"title":{"text":"X"}},"yaxis":{"title":{"text":"Y"}}},"config":{},"frames":null}