{"data":[{"name":"Hybridization","means":[[10.760488429947472,10.286406794737186,11.331492641397409,14.25130013262415,17.957607709461282,21.896497427641478,25.64088374260042,28.77237120765215,31.699248207667488,34.211020657290284,36.83845573172775,39.980939582688286,43.882445158573255,47.96044200802777,51.454998436419075,54.531386888836074,57.086978844229925,58.63077614868189,60.15020247918165,61.83037860455735,63.69647616813074,66.70194016814936,70.263217407386,74.16792652069556,78.25397810218581,81.6524414438449,84.20924281038451,85.4723505023794,85.97630927005847,86.42864366417918,86.91242990180908,88.85764990155232,91.48213655617299,95.1457180283487,99.37052212535801,102.7889986309323,104.77172356845,105.91820606513346,105.25503135591279,104.39375202412994,103.51610884803887,103.2099734713887,104.33101111180142,107.7948417347131,111.16115471943795,114.19718039423749,116.2155799395057,116.79657841742463,115.79455256745203,113.73209577043221,111.44184253999727,109.86061895535029,109.69956470746664,110.81974554192384,113.42657092087771,115.88504172902212,117.21835927390792,117.10325320298041,115.42976252972942,113.07010161814804,109.57767044811462,106.79637015857121,104.62630905754999,104.13399128767185,105.49982200584516,107.53360891040892,108.85942363656511,108.7074425714718,106.74663544546559,103.90227585287894,100.22141433179273,95.91482502147302,92.61287642082374,90.80844640682966,89.74273774899815,89.0803459241488,88.45151453154791,87.65048522162441,85.75233793146606,82.22057463030393,78.36771233170727,74.20739368893268,70.1639543432087,66.84767550347959,64.15296852440319,62.2020532753266,60.44258450724799,58.9738945900129,57.34094008112274,54.46886588933025,51.17580495587901,47.47692507867557,43.839318196447586,39.879414804264925,36.21775104341983,32.75006268305277,29.589710808439186,26.89410178861164,24.1980613178665,21.441521305251676,19.0184660486992,17.04084928403867,15.471585340052462,14.271154958197817,12.751353819175861,11.849465288352574],[11.526582293436062,12.002281742938267,14.478139759589899,18.2215356072777,22.270201730710905,26.23245709577334,29.718602043558832,32.45709922830718,34.89664806502173,37.002433376063976,39.376929362514446,42.48635028208686,46.580370859143606,50.794896604782664,54.44075978821111,57.5763481082957,60.09807357612261,61.42732625251139,62.65214682049207,64.04750290849884,65.64473237575095,68.47639877681848,71.98667197296464,75.93064786590517,80.08252544371436,83.46902768188724,85.94295507630086,87.07433141030994,87.39225960162466,87.5948140125797,87.83731196674326,89.60259772623773,92.09677298758913,95.70823312641623,99.93539746804683,103.32792013045932,105.2306595127591,106.27528918883192,105.44905914801329,104.41582549794165,103.34462767540161,102.85337295766112,103.83344801790906,107.20860888567623,110.48868745374399,113.45698086457008,115.40556200728257,115.90107522137991,114.80600726685608,112.60804272563371,110.18379908095477,108.45775565205032,108.14716501578397,109.13641988702551,111.62637995163453,113.98232037523887,115.22597029552027,115.04431553463962,113.30171168107132,110.87721837205099,107.29654304059778,104.39152762962756,102.08642745998785,101.45877516871533,102.6996204134872,104.61966866228816,105.85495488599216,105.64147732755427,103.65190929261993,100.78703346458717,97.07091766549988,92.71233150932983,89.32826310814343,87.38186509356981,86.18816789741535,85.42496391318278,84.75327591963617,83.94212325632981,82.0874857162934,78.6101649225755,74.80566660467228,70.64617308538573,66.54678899979646,63.08128761822578,60.236295512092184,58.14771042814098,56.35185599695969,54.93198085513382,53.42637531599409,50.717559859411324,47.58906190196723,43.9704269385929,40.34393041516181,36.2231046417116,32.294670270670416,28.55662729164289,25.278756817719458,22.75670034488433,20.544885741099208,18.43359007759957,16.836014559695208,15.774051555863934,14.678553831832579,13.570420794774591,11.723731125003814,10.828442063797832],[11.7691116386274,13.665874105467243,17.43660528172998,21.619119870393817,25.658381113128108,29.3222574213472,32.255566609890685,34.3731035227798,36.2112784131841,37.97901756193721,40.258949592390444,43.501127596317176,47.868320461196575,52.23383375373198,55.91127309370195,58.951843678537045,61.28878434269907,62.24269627078125,63.07195133537824,64.13814969522038,65.49876705012537,68.2361516501869,71.7746371886779,75.7975774047315,79.99769560179148,83.29203486564334,85.61008242608008,86.51506241416081,86.57154188014964,86.49638289431464,86.50141944456445,88.13247160821551,90.56236015358158,94.17225903334533,98.40127570944068,101.73715754437647,103.50635469933385,104.40683582507422,103.382372925201,102.15158759337845,100.90453296344475,100.27754881265285,101.18790885131857,104.54107664572153,107.78759632664395,110.69966142512877,112.55979518846372,112.95094826128064,111.73095009692236,109.38762696834681,106.82830971601393,104.98912300510706,104.61442669774216,105.56232639654179,108.01960806570489,110.32065278902303,111.50133752502727,111.24376298034784,109.41792722403586,106.91179808126995,103.24044999507227,100.25134332231288,97.88848922140306,97.22786190718831,98.46763123451052,100.38232852232093,101.60942104984093,101.3668073652684,99.34666573330229,96.44140135696286,92.67190816701441,88.24463275584439,84.81363771426531,82.86042238386857,81.68893210904206,80.96773296777417,80.34044651903686,79.57077612415274,77.74689472861309,74.26138006696128,70.42893232555885,66.2121714272393,62.037213946731725,58.52510041519034,55.69888322255304,53.721320266271185,52.116132266237294,50.91010632833606,49.586697268874325,46.95070643697425,43.8506809049208,40.111521320709535,36.328919689532015,31.9822736913006,27.89535872749241,24.27874386201003,21.430176008323098,19.672132745267803,18.311068499847632,16.884543418759613,15.62099902465143,14.912335969810469,13.467543792536578,11.790670600057801,9.453383406712197,8.87367183434131],[13.880246748259406,16.85374183943887,21.153614766152003,25.273809008095032,29.01149700873054,32.24077239991515,34.66151289214556,36.27656026473433,37.7312622582701,39.4308420829787,41.83657989595603,45.30146871612244,49.87046359439789,54.30847410630167,57.873030046092,60.69616287761216,62.766268355822625,63.341831253430016,63.83794837230834,64.6605728939656,65.91319178460274,68.66266136523056,72.28294756583948,76.37495656358765,80.56647133325605,83.70003821723219,85.82139504684606,86.46425275878264,86.2539486117006,85.9517914817182,85.78320619540209,87.35225248237668,89.78089239531779,93.41487340439407,97.61879236227344,100.85431422445119,102.44108701542608,103.1602201931708,101.92332563061082,100.4908165203497,99.10515077282034,98.3986498577971,99.29664386917342,102.65908380743666,105.88645484396075,108.71956441394273,110.44552290137781,110.69261990361274,109.30490945775047,106.80054909294768,104.09849191642544,102.16730390480048,101.78379334027079,102.7331751296981,105.17882765162923,107.40500838935777,108.48775596780354,108.10096826063558,106.14319020857744,103.51369135090796,99.73916436516376,96.68069396282532,94.31167974184935,93.66620059983147,94.94934891635785,96.85770217720646,98.05486541670787,97.72642189247601,95.60393860222705,92.59698383682554,88.7406134512482,84.25247216608112,80.80701332164114,78.92336179098338,77.81626137053314,77.12764623902396,76.47693911064198,75.66389161602581,73.76025343055272,70.17138678586066,66.23968066359244,61.95088943628758,57.73451821268565,54.282767049830554,51.5806750637312,49.79114779890302,48.33379944804679,47.23038303470244,45.92688667937291,43.18579321314041,39.95371090615438,36.012209420140415,32.04811856966617,27.588106795629994,23.576529858458713,20.39430147468431,18.246757816902818,17.29290620120357,16.553433355868314,15.5032197686538,14.170369733063389,13.577535376572953,11.85632166704579,10.08991377304344,8.414178083917824,9.354593845463242],[17.310755708853268,20.838904030212333,25.15686539691572,28.95891923506043,32.277754238550344,35.06384178063356,37.11292053524468,38.428610848100455,39.769998046142916,41.649609378516885,44.33284697592155,48.03203076416863,52.68923105310455,57.11695556811124,60.480808903664766,63.03513787944762,64.82691272111079,65.09713949214333,65.3794969260895,66.07833431647859,67.35026651324864,70.18933498935014,73.90647685224043,78.03442416463947,82.16464904323416,85.10553966124209,87.02616099650888,87.421332750529,86.98404739371466,86.53354946989413,86.27037663197403,87.8417375093177,90.31012612124596,93.97341265287386,98.12532450648595,101.23399199334244,102.62227638345907,103.15280251090917,101.71967312087614,100.10712764663157,98.62909508877529,97.89383013423503,98.81722288876419,102.19753658962497,105.40434968332791,108.13879438186613,109.70197432480921,109.78441639616064,108.21152137291872,105.54974118361329,102.71388141606226,100.71398522719845,100.35649288386256,101.32478113314006,103.7544231004166,105.87697610178475,106.82613327699924,106.26948381046321,104.14785444491605,101.37060277672175,97.49448787864713,94.38200787799433,92.04373926978116,91.43510373868565,92.76613548172125,94.63248873878008,95.75350693941691,95.27755203899734,92.9868741429177,89.82876030726449,85.86618315168184,81.34505363200252,77.91930315661715,76.14965833031032,75.10455045679696,74.3912621352657,73.61669757160962,72.65412572880892,70.55800189246605,66.78950575506745,62.71285448606228,58.366447566538916,54.16937451491637,50.87865062128841,48.36832312099679,46.76339954017407,45.313640915282775,44.11639430530499,42.61942976335876,39.592464300785075,36.0770254248566,31.895927597558984,27.77411373007905,23.391023535424466,19.772298864230017,17.312697361005394,15.977478620882245,15.566519297843602,15.004894985545574,13.967805461621122,12.284180487977881,11.699749378963865,10.139907147124216,9.293083183198917,9.698926909456427,12.351499516795247],[21.095811307989223,24.863553624911766,29.065550326146596,32.54617176214473,35.48557847394488,37.894065900361674,39.65929270097559,40.77288771662445,42.08239445606299,44.15981245374767,47.093929866309445,50.97176231099762,55.658179091054016,60.04328600841605,63.20469415223424,65.50859513399492,67.0544064945275,67.08646086409357,67.22285090702208,67.85128927142418,69.17685769569525,72.11018686333227,75.90823535816484,80.04980016412723,84.10338645589952,86.86262228415053,88.60396724248945,88.78786621173658,88.16756669717911,87.61713344228745,87.30178784414315,88.896434306969,91.41109385954394,95.09682229630316,99.18750199434945,102.17006127048204,103.37415600475931,103.73284897369514,102.1336302402505,100.37305467174586,98.834821854527,98.09637060108838,99.05702573262376,102.45263321024574,105.63689617340611,108.27226805606864,109.67701607376713,109.60333282887143,107.85931283878868,105.06225997401998,102.11496420188946,100.06835790277825,99.75093078734076,100.74326082613413,103.15488178053563,105.17072658556671,105.98483728811256,105.25987954057993,102.9802001139864,100.06317731294278,96.10200924543376,92.95372731438961,90.66515024202533,90.1027485660523,91.47828882067512,93.29109108440575,94.32520566352122,93.69325011483578,91.22862690793264,87.91960075113501,83.85979385039369,79.32623470178854,75.93955789909744,74.29586239706228,73.31120470493869,72.55955557392325,71.64002454967338,70.50354333154583,68.1936384378558,64.23968453124711,60.0214633909896,55.64008919615185,51.49952530000304,48.41852823632906,46.132581502706074,44.71373485902357,43.2314787205306,41.879830793429754,40.12468647335041,36.76787897894669,32.93313340707017,28.530640442674457,24.302077354182266,20.169867277849608,17.242763478665296,15.7915941335996,15.369638088902212,15.368380076191368,14.82150391856863,13.720735940528714,11.69470465180806,11.174058351894196,10.160605835143794,10.622894058763036,12.70405364035531,16.180955799836816],[24.833825844239904,28.475194780302914,32.284660168698025,35.38531046716228,38.01754278515795,40.2336168171779,42.033195439686466,43.30031709960645,44.914878006285925,47.35152723566769,50.5487786809244,54.509189305318614,59.09877229178803,63.38230255514669,66.36566941869916,68.50342715354381,69.92617580688758,69.93796900390917,70.1470433871918,70.87686729660112,72.35352644413655,75.38559385666798,79.21315446637445,83.31017301974812,87.26246223289768,89.89565652841593,91.53848990295839,91.63525739257038,90.96890884508645,90.45116171759851,90.18154094477734,91.8321351668496,94.37950388642352,98.0515453564825,102.06276536407775,104.93536911362075,106.01340730188815,106.25901324321268,104.58116464461317,102.76006414583618,101.22440966499475,100.51144234332365,101.49219226475249,104.8575452284356,107.98478268646599,110.51458998757167,111.78127605221702,111.58357698911266,109.72349087608487,106.8521368866559,103.85022426658736,101.788497264878,101.48406563853938,102.45307452303673,104.78976409596959,106.66568840896363,107.32757814964833,106.44921766867643,104.0406139615066,101.02099744957908,97.02284507753524,93.85971446156313,91.6128556317475,91.04841693136046,92.37975614290886,94.04637987447805,94.91747989684362,94.09260854971508,91.44069168320684,87.99764912457137,83.8812143277001,79.4070618788868,76.08601541305907,74.50069178237912,73.46651771192026,72.54082838502543,71.36009759693141,69.95913752689904,67.39058781187148,63.27852313685741,58.982905869548205,54.66452986412478,50.683875298033016,47.82118485983985,45.66206897645723,44.20020818044937,42.3869478716219,40.59340598011562,38.368991432858095,34.6315468739648,30.500970147660183,26.10853988849904,22.090180335697895,18.644502763196876,16.6464831340172,15.796843251445829,15.474316630816864,14.954711485006005,13.687991209923277,12.094663956074491,9.8083033040075,9.802500676957138,10.501664293209819,12.950447446558828,16.357531626166526,20.284119204104744],[28.702224259834548,32.16218023651945,35.787120136589586,38.79793582053287,41.39502761992429,43.63213655956044,45.54663317990064,46.952328651770294,48.71615751247145,51.250851038685,54.474394491412575,58.39597515548276,62.91455587967383,67.14007628888905,70.0728302926335,72.16201477024003,73.54918836749644,73.56166582782909,73.78744448144369,74.52406993096835,76.0006370192759,78.9930762346286,82.77111025071294,86.81242515806244,90.70106665416621,93.25943493268302,94.82430816095861,94.85756737532938,94.13639060840049,93.57826752004948,93.25875543445996,94.85875344378884,97.34304420512093,100.94738744751997,104.88047857956532,107.65902163168649,108.63159110205274,108.7734650279041,107.00418604734237,105.10126945560418,103.5013079827397,102.7244393923007,103.63445637309906,106.89928339254953,109.91606649142966,112.3241311120157,113.45975224179537,113.1440340275342,111.18651942980966,108.2330715132271,105.16135125529283,103.03545908977209,102.64886862714484,103.5088157068371,105.69938654562947,107.401103005128,107.89706613489035,106.88516476269587,104.3701310243311,101.27277411315765,97.23986015826974,94.02299002321314,91.7388426791667,91.08353237710989,92.27814849730049,93.73940032800382,94.413242510782,93.40483498131744,90.60350267639268,87.07144644451091,82.92767689830373,78.51451020741412,75.21817651796665,73.57894770836124,72.40357446445604,71.25103265111692,69.81528761831319,68.18608241605158,65.44157368460213,61.26746512776345,56.98304033652321,52.76367771971623,48.92051227297432,46.14525388336101,43.97070463091677,42.33450646202964,40.16564788118388,37.980437833958796,35.4098053215192,31.473274370743383,27.24899804022934,23.039291430357096,19.367077614960092,16.562326244958744,15.26270468768851,14.762346407353848,14.533211049819418,13.816337164488589,12.488730806902911,11.300061850817096,10.143087814911304,11.488602613119673,13.667293841615647,16.885902665790276,20.45773776931319,24.311616642115624],[32.43821512077387,35.530247290235,38.90903656127607,41.92655864703942,44.66610581123531,47.14608866356075,49.39756313744283,51.12585097271072,53.13714768123808,55.729699930399846,58.880972000273644,62.67219280191561,67.08971231470692,71.27121433171122,74.2616701758621,76.44369427241774,77.93887358554913,78.10242645475054,78.44684408428583,79.24526933240939,80.70626255617064,83.61429580880787,87.2957099079221,91.2675035023627,95.12789241374234,97.70454607200988,99.2815527626341,99.35838880992783,98.67144561965877,98.11543600781046,97.75980435919871,99.28211444680775,101.65990928202828,105.1683675833181,109.04214706137962,111.77680468184467,112.71934897916638,112.82360231646862,111.0230171036594,109.08720614699745,107.42432572040744,106.55262780279354,107.33980416856586,110.46147364984583,113.34121279179222,115.64307527842797,116.69467136618667,116.30791955173522,114.31134194969583,111.30967651762003,108.19121221692797,105.98694529769274,105.44881633438956,106.13179431737757,108.12079873949239,109.63628818113207,109.97431850249532,108.86922325207381,106.29117387120172,103.15761296495839,99.10904871614024,95.81399042899973,93.42042101276543,92.5839794479299,93.53435762434823,94.71471769712196,95.14231562143102,93.9555517959137,91.0457210783994,87.47653556556638,83.34407334322005,79.01038737728184,75.70074789971687,73.86238599185738,72.40493084238648,70.91195358622572,69.17727085694976,67.31077598667537,64.45249969168,60.3249658770263,56.17086915243022,52.129220890359605,48.44203217996889,45.604724640129426,43.19570167236729,41.09204354449257,38.338907339219844,35.60503939186097,32.66494818011538,28.706066874027748,24.669536190319395,21.071877114097287,18.169773757096216,16.14642989852055,15.184233008581428,14.228000573146774,13.294394778356354,11.76365796898309,10.223986179051558,9.938735237205934,10.974012900349853,14.011829674795333,17.54088717579896,21.277033181062908,24.702031753293042,28.26189843129924],[35.55400538302496,38.37000488053927,41.69583624282937,44.88284855840991,47.87472073117233,50.6312328871512,53.12989077522068,55.030447408467424,57.084459121853534,59.55043922407045,62.5140062492651,66.14875461752914,70.52153931042528,74.70302487776664,77.81211658299247,80.12676762555473,81.74043618536943,81.99757284364372,82.3629717812637,83.12645386212384,84.47389731467054,87.2383195941886,90.80672018560885,94.72698474672478,98.5934432226469,101.21023421074857,102.80163969561342,102.90991912728742,102.22432842582995,101.60426090566975,101.15012089870442,102.54391882689087,104.78289574754403,108.18824295831128,112.0216616627581,114.73566293769598,115.66675296433893,115.74569824954229,113.90348814495758,111.91766824277704,110.15274192850869,109.14341053785094,109.77678031844314,112.74861382403374,115.49304353859866,117.70807861418527,118.70611873116376,118.27320255682689,116.25804287806277,113.20529076986695,110.02991260155113,107.72263981715982,107.00262854745657,107.49404891217604,109.2870370162851,110.64734801510556,110.86681028948657,109.71273544273649,107.10685225836208,103.96258539434584,99.89181446124628,96.49801436039174,93.95115912452867,92.90865449439363,93.6078690602264,94.54334813378598,94.77199278046534,93.47303191959367,90.52978127774131,86.97763736405548,82.8732364021509,78.58015249592486,75.21087615894072,73.12041492259091,71.3787353684757,69.600824978629,67.67041892250406,65.68154584122017,62.84107418348538,58.8505319669547,54.881918911837985,50.99592134388153,47.38361612152532,44.356151236980224,41.630256522171514,39.047804464856526,35.839298686276564,32.76247570634783,29.715587537967135,26.014306787409264,22.45639410649257,19.60122371228568,17.4571126376033,15.874817094057754,14.834858294094984,13.282203750591593,11.772634799387205,9.99995816309429,9.363659469254893,10.890172712313392,13.910330042387175,17.818836855302145,21.7078819387507,25.334316714889184,28.302012076003702,31.44831808992007],[38.27642628191329,40.96605275049391,44.41296557569045,47.849686366722736,51.09731891854748,54.05597785906685,56.63818887191229,58.51912241795433,60.42198441229215,62.63742396716751,65.36129560385235,68.84992715881084,73.22773782621358,77.43376636219274,80.66129832953001,83.07855401080619,84.75671091256343,84.9952456700538,85.2601649997834,85.88597881482765,87.04258993415544,89.62469706824693,93.07720112838564,96.9596679313778,100.84013156672569,103.47257570822359,105.03873628358295,105.12147853568797,104.37025307744592,103.61051729458372,102.99653349737439,104.22390644890302,106.30606554452937,109.60620720267582,113.40100432334464,116.08770584479751,116.98642826656183,117.01889210793087,115.09900511592394,113.02551769059681,111.12181126588172,109.94740360983607,110.41583515277757,113.240873577153,115.85379965749469,117.98524450663206,118.93139719550977,118.4499291877691,116.4071096411681,113.28434768536926,110.03345558341778,107.60651974026335,106.70066846900998,107.0081856819478,108.62319060552316,109.85135332702295,109.97650070270986,108.79087244395816,106.16652683985856,103.01475794156137,98.90978996267026,95.40799700294949,92.6968480935735,91.45595431103935,91.93241497636798,92.67287676373722,92.75476857684065,91.3929529705624,88.46119411732042,84.95043182035548,80.87348366877968,76.58509721047993,73.133920288329,70.7989168675203,68.81481933607843,66.8297849753199,64.80063928827309,62.784605112573864,60.045255866502664,56.226653383433316,52.44726440977762,48.671728683658095,45.06664473382765,41.795796284532365,38.751747019630564,35.764455753969294,32.271379988886366,29.07157275372041,26.159906081025092,22.910970711068053,19.99957861128041,17.8558629276566,16.354491401995748,14.985524671244889,13.784480409786209,11.877779930022015,10.445252491529075,9.606106858740016,10.950798064620496,13.999829506711167,17.911074806217442,22.04406364942854,25.748344313377867,28.963918555004483,31.391056656703086,34.12828708021545],[40.34479560267805,43.08403819430652,46.79061009953002,50.48273560661286,53.91109086051123,56.934496951115165,59.41003411294344,61.08249367427661,62.6787200334396,64.5839731565815,67.07623907886352,70.46408573865567,74.89113515239511,79.13253497404374,82.4336791909289,84.8766947568838,86.52911732485951,86.62309362126747,86.67596078350316,87.08241173609817,88.0104560082865,90.40943204440082,93.76496832453908,97.62411378803317,101.5094542587495,104.10677993508048,105.59159052005991,105.57435983860528,104.68562597258287,103.72761312505179,102.91540991323072,103.96771161050061,105.90453697666838,109.11463960263717,112.86855253275252,115.50861161272343,116.33722606855358,116.28949095163935,114.25198490750844,112.05357000177693,109.9929423093194,108.65459925642263,108.97888570169897,111.6856942798209,114.19028964118161,116.24359617262263,117.12850247871197,116.58617255340523,114.49222942905493,111.27830539765559,107.93486140757906,105.3877496453735,104.32913935276991,104.49594534426058,105.9822960268537,107.11362881807264,107.17026314037066,105.95608375064806,103.3065051144335,100.13447632951004,95.97775774188285,92.3721148077493,89.51907418205002,88.12983174223835,88.46126244382232,89.09257150603102,89.10244787683091,87.72385815810343,84.82607499845847,81.35357302308972,77.28266029338255,72.95162957566663,69.40993968810459,66.89677201509453,64.77085026166233,62.70287847736911,60.68412454572509,58.73220988414868,56.13617890313444,52.45998803635861,48.805526679692555,45.04989169023555,41.364091026670906,37.840717362998255,34.54592107575884,31.326854187292753,27.79875357821338,24.760655333708655,22.232586252126342,19.514480090032894,17.24689770493362,15.566991461839347,14.448292282782381,13.075482006629377,11.765324688806272,10.140502322411617,9.91243853922522,11.124198643975237,14.197193249532615,17.90530897440359,21.893169646905857,25.859077090729084,29.056291564551415,31.705981425108785,33.62821732951185,36.04659801548898],[41.955523427092,44.76965597144201,48.71807480837157,52.61033236026074,56.15096092510258,59.1698825608576,61.47990716447926,62.90211520989536,64.17318605295874,65.77723987239997,68.05569435629765,71.35448195657241,75.82381731038424,80.08560555940703,83.42452499159168,85.85699434531963,87.45067684022779,87.37464079382639,87.20307229005368,87.38600510529228,88.09328206382493,90.32014470465968,93.58572309494448,97.41898608196199,101.29724572054126,103.84133490063302,105.23236586806867,105.10330303308675,104.07107655669967,102.91856925048552,101.91770779639235,102.80787223161424,104.61293770144479,107.74200365082386,111.45437112962736,114.04505747264356,114.80189763576502,114.67566054889502,112.5262856251626,110.21062625927854,108.00722504298352,106.5234754723637,106.72380778753289,109.33284194742627,111.74906937735152,113.73822270523948,114.57276221516577,113.98086381649603,111.84368043287793,108.54991047341376,105.12477752755272,102.47340156950354,101.28851645585341,101.34601142644885,102.73943900596579,103.80871686939153,103.82739383661581,102.60397878993658,99.94285582688332,96.75942555758145,92.55626034307107,88.8634843610701,85.8888692284016,84.38641602248553,84.62103296359867,85.20268509580444,85.19490560777449,83.84048291927989,81.00316524365681,77.58019974368837,73.5145116515883,69.12185002591087,65.48914455533941,62.83330629281392,60.6250268137939,58.55182948589554,56.62026987069911,54.798541052025755,52.383963866416124,48.8472132162042,45.29241030477446,41.510698791211496,37.6978297451686,33.90398023215201,30.377668101881255,27.02027316059446,23.647209738007167,21.025770404548428,19.14608334420159,17.122287224196892,15.60485107688981,14.294973184630717,13.42642042713721,11.930416927270953,10.567502157615916,9.659152973092873,10.97584853772928,13.80859772676552,17.77144349122783,21.684053791407656,25.50199124643611,29.19043815831875,31.848744476799364,33.944990085643724,35.417854144914514,37.554378358982696],[43.03254340716705,46.042617258803894,50.249223139722496,54.253730585841225,57.782371640816585,60.66321167079972,62.6865213291289,63.77046124351805,64.6825882132641,66.03362055066954,68.1794919698954,71.46183605214914,75.99432035931898,80.27081856191731,83.57700933214024,85.91627281157038,87.3720226735278,87.05395720711877,86.61953619866522,86.56948263578724,87.08888337777152,89.19720231531639,92.42119124710753,96.24878568777518,100.10533788796907,102.54912844219756,103.80728954851001,103.51452532937778,102.30105295547804,100.94964295110168,99.77545335463505,100.54481026634141,102.27197122447349,105.36042861463349,109.03433724205088,111.55819256662348,112.20924286742016,111.97815657910061,109.69589846242289,107.24860285282851,104.92207098683284,103.33680544784511,103.4744333721464,106.04351388112227,108.41835209621479,110.35639178571681,111.12708957163846,110.4692026101888,108.2580734907617,104.87202758701767,101.3595024294634,98.62901587956793,97.39428256459803,97.42247403362559,98.79885455049236,99.84484546902394,99.84218091116009,98.5888387991527,95.88922286019377,92.66458131674568,88.39960714572635,84.64563252729957,81.61696357789897,80.09405677891579,80.35076466064933,80.97979832934219,81.02348540816861,79.70414733372729,76.89622048337749,73.47322132066033,69.36827303908926,64.8807538682103,61.1802345389885,58.520225358516306,56.37763485132633,54.43218990539776,52.65192756036968,50.98185506143595,48.688037913556165,45.16853943814596,41.57421614447867,37.65543492693196,33.650318547550526,29.682537022214596,26.116435264894612,22.95637304319603,20.09184937415238,18.19635220595108,17.076309991341418,15.524175505076037,14.390539671895445,12.971646890932943,11.984867958918844,10.348609037847115,9.418285205737941,10.1664777415631,13.1775552111563,17.076584071985728,21.34612001425955,25.10415828837657,28.43912192838164,31.682132540023968,33.73080684314218,35.306506604473526,36.49008712359132,38.49978242893411],[44.30757467109233,47.55391847600665,51.958426258794745,55.96890458010681,59.37924341549315,62.033491351350804,63.72511179411605,64.46086168741549,65.0522399867314,66.23500116899004,68.33525749757216,71.65487809219032,76.24249989987548,80.51245578731543,83.72186526121712,85.90307042645087,87.1684579004821,86.5828946986536,85.893014935454,85.63519940388055,86.02050461791976,88.06556454279325,91.28333183144113,95.10843396063177,98.91810878313852,101.22067854163578,102.31712555463396,101.8297303471994,100.41979882322278,98.888112380129,97.57003064091687,98.26113220555682,99.9543466127212,103.02675674550318,106.65104863482858,109.08137403409678,109.5930565136977,109.23032077660739,106.80130819008622,104.21436879706408,101.78812381834138,100.14336740907045,100.2672038985702,102.8311360701788,105.18724893240342,107.06635582480526,107.74392424917488,106.99206053033132,104.67275414664145,101.18308836302113,97.57926144072579,94.79214251628032,93.56661136977203,93.6187460885877,95.0153234360859,96.03769339653563,95.9973012982267,94.67478825002979,91.89837818242495,88.59746893606003,84.26211690054043,80.47202170627398,77.45493854902045,75.98418865045683,76.33801361728483,77.04832331565656,77.15336646575405,75.83544847237452,72.99713321460781,69.51695451177952,65.34036782420532,60.75998019360584,57.03514398087808,54.49491826781608,52.52054949941456,50.76034336112414,49.112345400015926,47.54041472751604,45.25711949434186,41.63187308533053,37.88254309852181,33.76915246751366,29.57513976824498,25.59373631268055,22.22777699504717,19.618040884139123,17.523773264430623,16.478380357127577,15.999934383955262,14.625048323724936,13.558197230796354,11.815764401145898,10.69682463283305,9.378465258538112,9.70251402481885,12.323516082717722,16.401852929655625,20.736656393881567,24.928980460330358,28.345761993216907,31.09135811969545,33.845028024198236,35.353286463978044,36.54432308800968,37.63328912095823,39.66524824299743],[46.54833306663291,50.03634834440251,54.51651225735939,58.397266191082,61.577994223147904,63.942059046213345,65.32542075781335,65.78912322896315,66.20205983296232,67.39238507131867,69.59229488267982,73.01962485215114,77.63797548005596,81.87309032479936,84.91465571795969,86.87543667779065,87.91020900873156,87.07202059434441,86.18898020490165,85.80079801740474,86.15718442244356,88.22423752982311,91.48044719729245,95.29985848346764,99.02556454776551,101.14283620660464,102.05239415175471,101.34916704946468,99.74486798477858,98.08386138965561,96.68156352544607,97.35957994632132,99.07263325456603,102.14869910070456,105.69561389651557,107.9877664559733,108.30972158815887,107.77439441944935,105.18387177092012,102.45356538675594,99.968269969754,98.32370417376674,98.48891828345022,101.06641504805461,103.40380245387695,105.1854706144521,105.70541578525355,104.80147303571609,102.3177473649007,98.70683893854363,95.00787637510446,92.19466733475534,91.04308388880735,91.1575262900308,92.57212448750607,93.51312500296325,93.35995926572436,91.87773080582836,88.95157017094178,85.5173830716326,81.10902295303593,77.31879122928511,74.40984726940513,73.06248769423038,73.55335180880127,74.2936995940154,74.38211082915852,72.94363242064199,69.9366829194989,66.29391176857233,62.007870967419294,57.40297148600901,53.75583332866754,51.49113228250299,49.747969042942756,48.11091937448193,46.41278808718574,44.71912570708751,42.18766573799719,38.26442999716272,34.222787876682716,29.931815059546253,25.70355900173513,22.096859317680043,19.35983598777024,17.652273088209327,16.19125619477985,15.519837654885116,15.007175656298752,13.217498686675665,11.759311653855248,9.724178431762578,8.986847643391796,9.319404624662344,11.79621243047967,15.835912077745046,20.347346385369534,24.580135005580033,28.366667315441763,31.32682448062217,33.49300621547475,35.8376781989985,37.07127725180306,38.215014558550095,39.553314145783276,41.839768233160015],[50.12133643222083,53.72038282912387,58.17997570806652,61.9239100811842,64.91531487983187,67.06577140645307,68.25515283447272,68.56483827318858,68.90191250247675,70.13500041483853,72.4153610481022,75.895912902404,80.49230590695026,84.6660008279826,87.55635468378107,89.3312039906814,90.1799250042298,89.15984747404185,88.14555051207012,87.66754130052341,88.00311161790913,90.06241524239988,93.31238715944772,97.08772037551799,100.70958698208933,102.64939769482967,103.38462129587067,102.49627167252812,100.7298012303943,98.96172317619242,97.48147969040156,98.12488020950117,99.81535508156408,102.84810100318107,106.28266631121136,108.41350553910921,108.53878311508925,107.82413007718633,105.07957138555332,102.21518494184194,99.6695252829931,98.00722152345483,98.17157047631562,100.69704791394965,102.95181837892342,104.58544759205402,104.91178419154319,103.83189358543925,101.18185073834273,97.45495686228311,93.67091011922079,90.8275764817289,89.70505748220607,89.81335003805867,91.15466109625012,91.92785982264112,91.59133354137772,89.91279842607727,86.82345462328922,83.25899689495355,78.80520878549112,75.01930120781921,72.21259991147247,70.93252250550728,71.4546818431236,72.08729823874658,72.03927200567502,70.39506869198009,67.17006769380744,63.35676837532639,58.99406615495436,54.45709975910274,50.94091852320411,48.91302745763574,47.294014206640185,45.618280937589624,43.707150017841506,41.752101172977554,38.88937783809758,34.68298927239667,30.421454209504105,26.104213086740955,22.06217684920942,19.049701543328815,17.076494284585877,16.179810458283118,15.04819792577258,14.438288781544209,13.740049184309767,11.722295952458857,10.391692319465841,9.116232678549412,9.863497935196186,12.184863998923651,15.858296352508763,20.29106332767583,24.76767845537628,28.73257212493177,32.17149636760432,34.8381518317349,36.70790610189011,38.856940639540134,40.064320516600326,41.33265925024766,42.9438455185757,45.4343824073798],[54.544570337724124,58.13565688966938,62.50290548162022,66.13076061046819,69.0038731555464,71.05134600195579,72.19188983960284,72.49095657375562,72.86914163391434,74.17818433001351,76.51430622133232,79.99575226689004,84.5324947933911,88.63657629732548,91.41993534465371,93.07495419902068,93.81247635116628,92.71008636851039,91.64761093021734,91.13573184761037,91.46408123189623,93.48791315515706,96.69223637856068,100.39579843652247,103.91216112428137,105.71003060082725,106.30836141007923,105.29368345033818,103.42226055360308,101.58756416055472,100.04692425914833,100.63660478671667,102.26223493675865,105.20720396349981,108.50747447158088,110.47636324633928,110.42471624349652,109.54731753178675,106.67855683580164,103.71046934065936,101.11197542398244,99.41345280871181,99.52816879277958,101.9325785801797,104.04139884256463,105.48832283051036,105.6049736791194,104.34491257899515,101.54966079875605,97.73297758331472,93.89043691529973,91.01660352125171,89.86300507103691,89.88203108451137,91.04776640020393,91.56922239431331,90.98689065698898,89.09389968316468,85.84865974090047,82.18004648674379,77.72908673296483,73.95607455723655,71.23230918485659,69.93868774958669,70.35368672561432,70.71954106365337,70.40237505600042,68.4720189897509,64.99460193390468,61.02569059383307,56.64684408414531,52.299268725243564,48.9750274679008,47.09939879691075,45.446624741583065,43.523925531053884,41.20704998831337,38.827895321816925,35.54851869035986,31.1135073867633,26.77123132912381,22.687234110927342,19.191151243837847,17.02871386290488,15.8420977739142,15.410677311595812,14.10600826068598,13.07151783004608,11.922861289303098,10.001857657323615,9.564013828712882,10.237366844777053,12.757188126366566,16.396785975976655,20.550004916062694,24.89137696487426,29.10334357937261,32.718300851059695,35.88865568629833,38.43145978345944,40.29035296444549,42.47209194503521,43.892272619409376,45.43000609002969,47.30035080426651,49.934281709204576],[58.72953817874911,62.24849993383008,66.53707971397642,70.12258017705537,72.97152847492724,75.01368264571323,76.18322799111642,76.52335059125359,76.94648720545162,78.27402643001348,80.59215169215034,84.02206485501439,88.49586685042446,92.54477651708287,95.28505693820621,96.89390167126909,97.59118981643607,96.46677134370046,95.38494077143685,94.84443093531561,95.13186192769928,97.07741253960532,100.2020384475138,103.82760920250243,107.26325607105899,108.97205277319019,109.47994663637942,108.39577151258403,106.4630106459598,104.57085822124536,102.96196776865298,103.46619323513583,104.98851978024108,107.82246187119057,111.0022201731998,112.84464618789438,112.66844913081248,111.67421922289475,108.71885072796321,105.67704016243741,103.01638369775331,101.24686235474242,101.264458062494,103.51225771313744,105.45538807509016,106.73101954979671,106.68047051879797,105.28344162069028,102.3971988648756,98.52123228518296,94.63954913600669,91.71971271778555,90.47003462516321,90.34141430532753,91.29050661612432,91.56393348730303,90.75926299358234,88.70591751402183,85.36018867662318,81.6410171404811,77.21856388114772,73.44055222056102,70.72557511220255,69.33341650798499,69.54683132570392,69.6000077542035,68.99438523671012,66.81350355907269,63.155062956453605,59.10938529510908,54.772748625564454,50.63770724774353,47.46761477231581,45.593390540095925,43.77960476615268,41.52940422863749,38.80563026157494,36.038504618075386,32.45722499927221,27.966591059534636,23.7548059108059,20.10351513416468,17.32030073251848,15.891949043470328,15.22574364566184,14.898194652566644,13.32917581230754,11.953430880446861,10.728751051744446,9.770679344155315,10.907464869496655,13.249545793607425,16.64401457682519,20.681739420946105,24.821759567375413,28.89726024819531,32.841429458181686,36.23036102520743,39.313892350597676,41.89140533807865,43.907062939061625,46.22216388398831,47.86146861143182,49.584127077814536,51.54861308510287,54.19528488355624],[62.680622191073425,66.07268123982945,70.30532619505998,73.92676271956687,76.8485493977537,78.98144995802502,80.24751558632039,80.66448682193172,81.11839561670021,82.3933804952028,84.61365496076796,87.93916420180285,92.35252212602568,96.36444113304267,99.12788223704123,100.76496608815076,101.4904191447674,100.3926841930436,99.30448050810992,98.72558159993346,98.92684319890185,100.74627726418149,103.756344897803,107.30126617337608,110.68626934183001,112.36199730706787,112.8256442995037,111.72392915137836,109.76414956259923,107.80816407717936,106.10851983749157,106.4852725003964,107.8599785527659,110.55923455020638,113.63809181311353,115.39583394835765,115.15192081763384,114.08969939079503,111.07967911724933,107.98570064376955,105.23825237227253,103.34728699003415,103.20863160372787,105.2622753485401,107.01918297058204,108.14470616695606,107.9785334331171,106.49592916883152,103.57816005627694,99.66645509722208,95.75429808879126,92.75680525961731,91.32658814780154,90.9793453959035,91.66788957706915,91.70455913455271,90.71300390303861,88.56854508780206,85.1876221032772,81.47657958485357,77.09566545035221,73.2706468362282,70.45373434075377,68.85078317557506,68.74985069625949,68.4457131346246,67.53915662478485,65.16368063543287,61.42813771620021,57.40991726113663,53.17600432433679,49.242398672077854,46.141217975566434,44.05037407514399,41.904633623959455,39.22778411084381,36.11544759504422,33.037850221424016,29.353969033217552,25.075967409698432,21.30904609204209,18.318365140385016,16.308734333034504,15.207581858528078,14.57177343051797,13.878705579989385,11.925566685932226,10.438292236965104,9.83514826962694,10.814294196954052,13.654932686473758,17.076400563711505,20.863923247163488,24.851389126438363,28.683034823086825,32.35851780854204,36.0264775804827,39.301064971378175,42.47524688434205,45.25004778424567,47.577709138198,50.11690455203299,51.96331757780889,53.777854102161854,55.679167328534625,58.21596713013023],[65.70873266828733,68.97964555242982,73.22425046682922,76.94488691008937,79.98497107098609,82.22161238351401,83.53533577004276,83.94738402690543,84.31306585095437,85.41409238053302,87.44723995511362,90.63015318105248,94.99619014607033,98.98113695245675,101.79486278083863,103.47939173716803,104.23764431723112,103.13196174908866,101.9756169159999,101.29422898681462,101.33773563762038,102.98044639537189,105.85110238962444,109.31608387600537,112.66550468786255,114.32150830970197,114.74390476433464,113.62272460082028,111.62122099899112,109.55889706115086,107.72701786626149,107.93779740498645,109.13617843370572,111.69142436438356,114.68424377026184,116.38113450804971,116.09605347527297,114.98923239459528,111.93012707660326,108.78096700713151,105.9193390581726,103.87184883267165,103.54947861735076,105.40715591949137,106.98739509239084,107.99470034390198,107.76076433610429,106.23587814127539,103.32411634163556,99.38416050080279,95.43693351873208,92.3364577604851,90.68932979643905,90.11127566026677,90.56159759666534,90.42217863145277,89.3152545834141,87.15537534053237,83.79745316504005,80.13399597631825,75.77916717264655,71.86676777009903,68.86386861778885,67.00324181440274,66.57983816366465,65.99209337090561,64.87655511950373,62.42823443064217,58.74768858931263,54.84910689772467,50.72841017461304,46.88572215891859,43.72414841586107,41.266697495263145,38.74307203968903,35.716466858697444,32.40396936538945,29.255645148019276,25.7779598138649,21.955181386266627,18.8299254857664,16.44506034250118,14.917586950560974,13.63797362825996,12.73908876009626,11.696334513688019,10.034881084320453,9.668457354145701,10.936342457988749,13.839988150518604,17.611803708139256,21.25813258128518,24.924559905060978,28.473560149619235,31.814983503698315,35.13983993024545,38.678471311293244,42.06224811025323,45.50317168950641,48.535782973297415,51.13661669436965,53.82060982654404,55.670723089271654,57.352035862368886,58.99845510811998,61.30202002924183],[68.54501818914993,71.71507878056575,75.97639879841304,79.77880226055895,82.90674548868218,85.20603860506411,86.51846997526037,86.87961335315096,87.11975201942555,88.03164029641006,89.87439364407248,92.91389298714377,97.2275565213626,101.17406336560289,104.01763792827037,105.72679295509515,106.49419894652186,105.35143403157714,104.10188949762471,103.29905242661033,103.1743236123293,104.63400369307463,107.36076227584552,110.74062772074726,114.04588018586499,115.66883630396116,116.03844098660414,114.88378923211229,112.8274080048141,110.64703138569341,108.67622069829828,108.71743670559455,109.73884312389913,112.14953176046329,115.0552005891757,116.69047998195133,116.36265595980713,115.21086333245519,112.09994778502747,108.8928689835771,105.91402570351295,103.70885072310821,103.20563917707895,104.87320799700588,106.28457598003843,107.18315182763635,106.89321597199107,105.33682956144472,102.4383897283657,98.4729665732725,94.49266112038848,91.29140240432906,89.43445655947558,88.6382882154638,88.86971777875868,88.58080408535083,87.38596104730928,85.23380816731955,81.91661082600133,78.31274795765347,73.98548934503809,69.98908790642515,66.80114561084903,64.69520200120273,63.97281381931816,63.14350973330212,61.863492780861925,59.38958798820024,55.80829516542312,52.06009467859324,48.064214592786335,44.295234526531395,41.06648029772889,38.24275798196641,35.36392885482434,32.03810498188705,28.610067920969524,25.506955036729707,22.39752465726656,19.210536223559306,16.919363961740473,15.268672420673106,14.290709837546064,12.917093639612299,11.906123559876788,10.856986053302666,10.222362909876892,11.417696248032685,14.084255983239819,17.87459258524553,21.96310294606703,25.549644246611678,28.994049002474952,32.129790475990966,35.05227359416069,38.10839465318144,41.567184317004006,45.07358322556021,48.73899911894459,51.955750085490024,54.722280221262466,57.46117719540906,59.23322118834154,60.73562988167865,62.12796385027307,64.20626079531867],[69.82757047155671,72.92492756039256,77.23295866541388,81.11958948145953,84.31881314984213,86.64532176075387,87.89719116354476,88.1431774455214,88.19502437209316,88.8777073953605,90.51411910253651,93.41218629855811,97.68314347603591,101.59297405544847,104.45943362004981,106.18274897738014,106.94431824138148,105.73611544297287,104.36375262972268,103.41704702721545,103.11257433352628,104.39248187076893,106.98688259008628,110.29553351717166,113.56917072644885,115.1672628936615,115.4918407031157,114.30316656167939,112.18890252824076,109.88515115549299,107.77696442451732,107.65965128667736,108.52598307009623,110.82054362533451,113.67106110787405,115.27764973515434,114.93691745341624,113.76876236746726,110.62130283291506,107.36825055187545,104.28015098404329,101.93013425977577,101.2723646411762,102.8014036632606,104.1008762275706,104.95150474369869,104.66528209947397,103.12592439951999,100.26962716484799,96.2900145007278,92.27960730401621,88.98332954529873,86.94500279260676,85.98586802221256,86.08932274272924,85.75891107346648,84.5747103367774,82.5010053650638,79.26481631169207,75.73675919832657,71.40932450753388,67.31548749397655,63.92001020438517,61.60319047266888,60.67731241499453,59.76993539887443,58.486961402368195,56.13081614791048,52.7544896744122,49.198209784923336,45.290376030038225,41.44716543005221,38.03692421714137,34.81298165186088,31.651247923308155,28.229735708408178,24.996272944701868,22.302749193836952,19.91094290266613,17.495499452274647,15.977288863829255,14.696486485032851,13.753914699250139,11.898113132581047,10.658187127557307,9.936239638284434,10.993795936089562,13.823652520042206,17.49016148686951,21.616531076443625,25.676800971662043,28.907963069713638,31.9396360683438,34.54510010015486,37.03012095717006,39.903600287248096,43.385098992005226,47.10471426802629,51.01463652704832,54.366406827455194,57.18537744444162,59.874791635275066,61.43346693305171,62.64673825660027,63.72676397162725,65.55394662950633],[70.12583805368472,73.24122230924182,77.62991447883206,81.55117736656601,84.73105604795475,86.96796102752792,88.02959748467835,88.04650655495834,87.83130223476144,88.2799636635571,89.74740227249607,92.54994849198937,96.79338985196999,100.65687601675691,103.48220950834445,105.13936770752149,105.81193637489214,104.45005460346667,102.89188120133173,101.7649479954446,101.28720732305548,102.42012166683806,104.91944172261056,108.17236631535786,111.3974539818755,112.91845486951439,113.15071668831756,111.86489048529329,109.63987562677742,107.18983364203126,104.94343169781898,104.69841852652269,105.45899088238106,107.6789359002436,110.4793328961169,112.03876382652123,111.64607297531875,110.42954263349674,107.21367100085133,103.88772360492712,100.70078418646577,98.24686524870711,97.50178683708437,98.96545665609722,100.21588820506298,101.04291424280636,100.7516527608507,99.21174128948554,96.35441871087198,92.33259180029489,88.26908748068595,84.89552583521935,82.76829254823016,81.7543573536493,81.8447203035848,81.54488435486704,80.41252535483862,78.39877475894791,75.20270187345369,71.6948791375059,67.31469203436542,63.13353671505624,59.601665128868675,57.20716843255763,56.27852532960196,55.48680000302913,54.356497004468366,52.17374430670961,48.969714206388296,45.512594627986886,41.574143382291005,37.506905577722506,33.87600294551679,30.450835913850206,27.287034698452903,24.11500661654394,21.368767779953014,19.332592053208586,17.667182470165347,15.703216216542987,14.48525907644408,13.128109407923528,11.935629539010893,9.853832414465979,9.167963230807867,10.075203130947457,13.204454775628886,17.176710507460243,21.221017457068715,25.107291812278632,28.764696542108044,31.398684610600377,33.91038860259328,36.05518539215826,38.296971621909094,41.24409745578181,44.92486241789547,48.91275877260474,52.98005805884844,56.309184201326296,58.947554853797975,61.4095852803279,62.60290909555136,63.45354239503815,64.2627360183809,65.90300345868302],[70.4757465639041,73.65227580676893,78.1106764038122,82.01144548289423,85.10229928197586,87.17878303847587,87.99262180179376,87.74330742265015,87.25507580905709,87.50538872733203,88.85234804627117,91.5973475736193,95.81322650082197,99.61810409678291,102.3524006751259,103.88646124259238,104.4174640495423,102.86093625276858,101.09963065484504,99.79194812629534,99.16757835211956,100.18821323558532,102.61970636119914,105.82089960252667,108.97530192938852,110.37582951335175,110.4797869841318,109.05518101950577,106.69025458417866,104.09380271769591,101.72223658470197,101.37937666585957,102.07045979644118,104.23756877073832,106.9748367686862,108.45648416389349,107.96937643051805,106.669502811921,103.36130489465825,99.94487169320848,96.6749667472273,94.15540646216112,93.3721703406485,94.80795983549568,96.03463876847411,96.82782211554037,96.49481229838078,94.91808097372012,92.01485155295737,87.93104151286134,83.8031761089818,80.37263716468428,78.22342399499571,77.21941695870959,77.3477291370649,77.08509194947622,75.98879200219199,73.98574035352425,70.77967640129515,67.24329298243428,62.78906654038939,58.54263326825143,54.95240996604236,52.57994738682652,51.77160768848188,51.17754434243528,50.25011423696228,48.21981656746603,45.11589849859794,41.67353164737076,37.6379636370277,33.30182229892405,29.477300280642357,26.050441522163137,23.130113449775408,20.473046084877414,18.400385543426225,17.134053970739114,16.10889043847584,14.40765112776503,13.283194093378432,11.76617984745948,10.47650149126479,8.911024990706473,9.673414168037764,12.422485929563997,16.71126352874853,21.11702186241809,25.1299760749037,28.57211562309163,31.724384801769606,33.77023233553288,35.80866711362481,37.62827428355252,39.783141924635494,42.91668770347811,46.82707062192052,51.02451450506168,55.13633574347866,58.3341342377699,60.679156594062846,62.84110543196759,63.64649578216603,64.16135710793704,64.78045531109645,66.3056468479877],[71.44092264252907,74.73155342895333,79.23983925433971,83.05941805132412,85.99147882974168,87.84616473103966,88.38269634781662,87.86512821190337,87.14457998004433,87.28345685197047,88.60181887037946,91.35391219216807,95.54982743320568,99.28995291655627,101.88091746601778,103.2341259731862,103.57272294303738,101.79315263716767,99.83254896540988,98.36672413623681,97.65075403184423,98.61982867975226,101.02800430074728,104.1878885486637,107.24872051749298,108.48144848545557,108.41921034160569,106.81011698735189,104.27488961291216,101.5416860776184,99.06985761458509,98.67515765417706,99.34794806724904,101.4903334694079,104.14303719443485,105.50026962078313,104.85544470216705,103.41734626505608,99.97893700026064,96.44366373541277,93.11412162165226,90.58249731759041,89.8256300913033,91.26995429605454,92.48773414164414,93.21107910027843,92.76277865522286,91.0774365112469,88.04998456300993,83.86683126897509,79.65530497481048,76.1964189752604,74.11998488971574,73.20161242084492,73.4009365940727,73.13053627680318,71.99652713639733,69.89285524530875,66.57567607545806,62.92466544255419,58.37337652760795,54.10296420714338,50.5954996954643,48.38760191399001,47.835552014823506,47.45341888478453,46.69399628202649,44.68158739353593,41.48918628802578,37.889070925876325,33.65967500683009,29.077332986770788,25.19503937721418,22.181221346866767,19.889549072028295,17.987731018283757,16.521089986062908,15.771474464116508,14.913409027629486,13.071889228353903,11.710648663136983,10.13929268154184,9.299981605964277,9.522429223051155,12.134289130860312,16.141730308632223,20.76895367739491,25.106760800467136,28.787568439477482,31.666513181678376,34.2917851305171,35.868998979174165,37.598517511833045,39.36300422661109,41.68393843854301,45.13953197613514,49.2927179321664,53.59927642689329,57.62283668028678,60.59695016727117,62.573960428476,64.4106201766413,64.88336664838086,65.17210163014553,65.75683235035336,67.29816433452153],[73.62956186274427,77.01795332618082,81.53245398992,85.24204320728445,88.00333849356286,89.64528454658364,89.94857225670525,89.22215216030955,88.34582346863701,88.44324139033408,89.77963399646265,92.55342101033895,96.7135181228744,100.37856246395805,102.81191144801224,103.97544512553391,104.12106428284922,102.14196991759464,100.01961473095969,98.43345330406596,97.66484710846764,98.60244939083182,100.98913205037393,104.09275015270742,107.03734555126253,108.08153794904767,107.84020165514556,106.04142431201217,103.34181844464074,100.49551047244988,97.94686200399366,97.51555897194962,98.17208453430158,100.2716397865642,102.80069782015322,103.99131565942837,103.14954597516265,101.5379963304378,97.95795683459168,94.30045338020759,90.9304851940754,88.41153070664059,87.68966958157478,89.1095530692936,90.2728861457401,90.86129519749227,90.22387463059658,88.37065146699017,85.17739633309753,80.8885370182513,76.60324449119484,73.14180873908472,71.16453494929065,70.3195525628446,70.52386288764147,70.13722793777664,68.85564382283151,66.55268224143083,63.060736300792925,59.258486052457265,54.64234807516277,50.400140277001604,47.082006044006064,45.085282159407214,44.76319261154838,44.446854610120205,43.70013548124253,41.53640951558308,38.09798717570341,34.237819209473294,29.813890867665158,25.156664087988553,21.44779758125476,19.187866350564466,17.71432981004373,16.51254517268778,15.3616398719389,14.757523290444183,13.740617235036604,11.715960110904447,10.381164184591805,9.484207112298755,10.089259464631546,12.349894051237456,16.0299785471316,20.486943759178303,24.995453925381657,29.0386772596572,32.3206483549023,34.760040819065864,37.02204497223001,38.38151986465761,40.02731864338844,41.946150024096866,44.54095302795762,48.27944647739907,52.58259453821773,56.884388197858044,60.75519410350417,63.50845512479253,65.17940980007774,66.76404948998332,67.03701332802252,67.2374330500045,67.89513422413329,69.52043268321606],[77.24986297828048,80.6708845568101,85.14421818603768,88.75192926291382,91.38056050008285,92.87482172538479,93.04086881183588,92.20579925391692,91.26541913797656,91.36281559586494,92.71409076344067,95.47695072598634,99.56999179142674,103.14773813955883,105.44547524263429,106.45571806580108,106.45347916161614,104.34258756338211,102.11932317600134,100.45540985115136,99.64683109191766,100.52831079771764,102.85337032199804,105.86519102126397,108.67464230191132,109.53888400098123,109.12993544203319,107.17563806253696,104.34805017787559,101.41746144838399,98.80353441712785,98.3126963295032,98.9034043410459,100.90176139592464,103.26052027370218,104.25336352017213,103.20508786669998,101.41185586722783,97.70652011211106,93.94721681360699,90.54488573757445,88.0239214085737,87.28412292371449,88.58342349114315,89.59780229083404,89.9742404544718,89.09167470897675,87.03583557191646,83.68304644161351,79.31626717278527,74.99731991051227,71.55098945791983,69.61771758150022,68.74212662195006,68.79859180351986,68.14689095114574,66.59727814768875,64.03708123505953,60.36180946732934,56.437088891257275,51.85064864551366,47.69674259511557,44.61380530546856,42.75634285695741,42.45927417184586,41.92082401616484,40.93393628068243,38.43341576901136,34.63313010283583,30.492200412314627,25.970315221449418,21.562674174645238,18.342682506902985,16.957290657338593,16.159878229780084,15.264038034129442,13.987098005871314,13.174850323935559,11.893003451754057,10.177070708816961,9.77204110210279,10.634673924705014,12.990645264075317,16.461953574914375,20.51059126290901,24.9349380420895,29.1361459893871,32.834539391920124,35.80044636253723,38.05953348851031,40.23093436521324,41.671129646499004,43.46170227423567,45.65861835214611,48.50802964145296,52.3856619868211,56.709317357745334,60.919171503174496,64.64413499009615,67.25255886330899,68.76808910431924,70.23487321398161,70.46969759347539,70.70805086415247,71.47987922813259,73.18902571056567],[81.43133089288015,84.84123925427568,89.26195075381774,92.79820975029673,95.34676327618457,96.7612463997205,96.86590151650104,95.99097438137419,95.03541545393989,95.13778293094117,96.48408750888906,99.21223470820547,103.23193989253846,106.72987715589421,108.93028936197297,109.83540274401501,109.73585165697796,107.55025788610274,105.27004960781939,103.5562984005794,102.70789697875101,103.51549589414608,105.75680329965137,108.66653059134914,111.34919267278462,112.06460274001478,111.51687085308778,109.45030632833931,106.53481009695446,103.54391803614637,100.87340004078226,100.30742976788137,100.80110388743626,102.66823666300628,104.8476399674615,105.64941542199008,104.41858451454718,102.46516343254723,98.66469186003116,94.83303961291432,91.40496239981006,88.8641259146214,88.06331548836852,89.18597061734368,90.00254311569344,90.14355030545791,89.01697225729087,86.77036562446007,83.29461860232519,78.88689836012537,74.5712854560311,71.14566691387634,69.197206722926,68.21279142629962,68.02795394405067,67.04519989461295,65.18615469685444,62.37530867002217,58.55381588878876,54.565611894289596,50.09061524021131,46.06067414711906,43.194382068663835,41.38131260961296,40.93235988949461,39.98825096330925,38.606830912524295,35.688772360436154,31.51302380584135,27.14950289432825,22.675926824667958,18.84935951664274,16.405608823123288,15.847441946120176,15.502733222795596,14.62543650159545,13.025247026577267,11.892213028087903,10.56422916630837,9.871446939335376,11.034122043279858,13.50228607699381,16.902075796342288,20.84003816715876,24.91657038843472,29.132740347270545,33.026408993192234,36.44075117099448,39.21012156825559,41.46961518451908,43.7142988477161,45.3636002672153,47.36734406401811,49.810275351793024,52.82150847184276,56.726504924126004,61.00161605491332,65.10852243763118,68.73660851280943,71.27835080359866,72.75795951835225,74.20323108534083,74.48566999535531,74.80262004582043,75.66295102439395,77.42027430096928],[85.5767269026391,88.92538292041496,93.29036922991136,96.80110064794276,99.33850193353989,100.75459872255728,100.87825461118383,100.02907167326359,99.09321734685636,99.18161622217254,100.48182566298658,103.13963689978272,107.08392480701814,110.51529567178001,112.67328734562288,113.53958085570048,113.41097898602148,111.21669269550472,108.92316776145057,107.18146371975836,106.27892196316766,106.98468987309037,109.11609266597324,111.92038574862708,114.50307578128306,115.12702525515193,114.49184748963165,112.3780217589101,109.4293706104932,106.40008200325664,103.67397240141646,103.00767471169576,103.36696253566592,105.07943543176275,107.09670302783837,107.74885276654025,106.39758285193128,104.3398182248545,100.49266130517509,96.63102692321776,93.17265667813388,90.57400125092215,89.65359719037443,90.55229794082568,91.14088265269511,91.06166559249174,89.74279656817413,87.36206395224322,83.84042757640208,79.44323123899487,75.168816675945,71.75020248868638,69.68903216139523,68.4994920866553,67.99488649917816,66.66637898148652,64.51547176921625,61.533720005828144,57.6611142108551,53.715225387599766,49.429318302164276,45.51937024360982,42.754477149603645,40.82135130391273,40.00468529965906,38.50498160982143,36.6193145328625,33.29234746431255,28.84943299647832,24.454610925042942,20.281214676225023,17.35616225118377,15.770776870703699,15.541904720143819,15.159267499128935,13.943140355740525,11.910534149199277,10.55839802639087,9.732642771950509,10.807497639509545,13.559125596124836,17.04489832288353,20.927973462753613,24.859743581307374,28.72828921075832,32.612985390047164,36.24111144142522,39.48189860721614,42.215147919492374,44.65906390122545,47.126670227560226,49.062346273379774,51.29147669412088,53.890130093203716,56.932669068382566,60.74840944015372,64.91700714380056,68.93415501935391,72.53947234240677,75.10736114738755,76.67484409132963,78.1934249597221,78.58309435023583,78.98466359425481,79.87229987101446,81.61626931686155],[89.26488074939432,92.50486332976477,96.8297064309887,100.37290838702847,102.97115739064597,104.4570612859706,104.64020099726022,103.82790577591415,102.88009631607041,102.87770706027946,104.05051931921311,106.58096728565756,110.44639648063115,113.82116274674692,115.9935806379703,116.8860185761101,116.78697026609053,114.61737275098461,112.30819610389649,110.51482498310496,109.50220447093393,110.04908937946621,112.02901108045754,114.72308855874508,117.23758432665079,117.82964128354496,117.15626053226435,115.04745909810151,112.09645520373087,109.00920428917827,106.19144817800242,105.36953425056586,105.53907739202218,107.07075545145874,108.95879873293579,109.52305335383866,108.13072477078931,106.03859114292301,102.18364218528706,98.3158868974799,94.78391123789814,92.04767116602636,90.9234997798334,91.55810962999696,91.90480518961678,91.65714501288745,90.2464121746926,87.82810708745922,84.36053065548982,80.0055511462813,75.77423563729609,72.29954723739756,69.98552026076972,68.48687831289276,67.61976823152865,66.00763779602241,63.66845684108927,60.676248733432146,56.89454091671436,53.11178592119361,49.01799686014765,45.123036422101215,42.1995257025816,39.90909266636468,38.512160897719085,36.40991813364652,34.0369092968677,30.47359506232533,26.080697091863723,22.005314521256146,18.37384173742345,16.289403851231224,15.201731776726742,14.516792033911784,13.603058817685838,11.895276187657005,9.815983482704722,9.147157798110294,10.213400509910446,13.382358863137213,17.237043093425044,21.08117573284497,24.920496368449065,28.420815209903175,31.875997124476143,35.38332441809979,38.91728571358879,42.21719687818959,45.155802038140244,47.95511671450626,50.734083136460775,52.906372535086994,55.25067765748106,57.80279941580274,60.683445799853125,64.29791337253197,68.33587035177209,72.32722764031514,76.01710856415704,78.70777016851487,80.45007146685136,82.08595546366841,82.55284378714619,82.95406850721332,83.74162986072555,85.36728262019362],[92.16495730452807,95.29639968324045,99.59149147654131,103.16606861066299,105.81229788270215,107.33879539152797,107.52722748554072,106.68778198379694,105.65513054546926,105.50063218992983,106.50334194217015,108.8814426739163,112.65755759247793,115.96201555656033,118.13844438416324,119.04549755756729,118.96015006881318,116.78164852460564,114.41422519533138,112.5288986876302,111.3679796218385,111.72797796445711,113.53924195493683,116.11599792357065,118.55991275509237,119.11773921567568,118.40255097074322,116.29033341640468,113.3233224919089,110.1517411856135,107.22043064388701,106.22297448515586,106.19110069243888,107.54068135282068,109.31213862403692,109.80843729883807,108.39562306286223,106.28953355566344,102.43219169661974,98.55747316831177,94.93460868054223,92.04152143123918,90.70398400015665,91.09050995842986,91.22040413583855,90.84699101784838,89.39846637618932,86.9908226825995,83.61179599330592,79.30064939058929,75.10274261475362,71.55024110117333,68.96445340206172,67.16728564522955,65.99007783679457,64.185200102992,61.755265190865664,58.84438721777502,55.21772868967173,51.63609465378919,47.698510470237125,43.76852352301716,40.59597522473561,37.915553638805015,35.960883755690936,33.38094022537384,30.67349559263489,27.077006411064826,22.995790669366432,19.478835397853572,16.502504268579738,15.094487452010915,14.325962742837234,13.084186308535287,11.79312711735784,10.202610451669074,9.243677781076093,10.405235920374981,13.343007206726885,17.458050370144125,21.607122138191443,25.327168939766224,28.850667729043725,31.858782652541908,34.94022399303001,38.20367021309642,41.811425011918544,45.303691932778165,48.50456560572391,51.57843992764829,54.539939951722566,56.760404558198985,59.05344107206594,61.414652878175964,64.05747751134558,67.47806016162187,71.42327204835901,75.4410283363131,79.23643069281721,82.02844694507561,83.87952367240926,85.5572981903661,85.98878295192928,86.28242082662739,86.89620075984332,88.35454602314857],[93.92856450132265,96.95684219267109,101.22307374127875,104.81200526021965,107.4785672793707,109.00675040832266,109.14897912122244,108.2328993617164,107.06844397855784,106.73096977742487,107.54605445745136,109.7605909073522,113.43737067825222,116.65694681947281,118.818618942798,119.72129453253591,119.6297476484418,117.4183730018487,114.96841235779979,112.97184384581143,111.64762401717688,111.81338730712214,113.45329069515459,115.91171038430988,118.28322368087876,118.80225705038706,118.04397017581658,115.92241304581225,112.93188220640441,109.66671121494093,106.61724335168277,105.4458090699682,105.2194305648686,106.39927959297907,108.07181053426993,108.51983981412585,107.10505650988348,105.00366497247704,101.15002993581595,97.27115483072497,93.55235682862661,90.49997358197771,88.95905400051825,89.13109807201776,89.08576418288669,88.63585111468664,87.2002919840858,84.8442571556897,81.57720156837621,77.31134281209293,73.13702279754878,69.49470093753487,66.64466316208717,64.58488590781157,63.17192930238769,61.2759719705753,58.858032249786014,56.10677959045091,52.6840115108588,49.32277797660455,45.50239149256349,41.50247824503331,38.02300203946077,34.956883174553845,32.50933790775873,29.62129618349062,26.77797742347964,23.391837165374,19.89646389798726,17.1730597434574,14.951826333853138,14.012405710631164,13.42515425008723,11.607243589987865,10.303548706508437,9.691655126829117,10.76791417518968,13.569671105862021,17.467319251214988,21.799008495003847,25.851933715425798,29.23668120845982,32.33061194186228,34.87222016452293,37.64757225816773,40.78768238468033,44.56299715102046,48.299461494304424,51.74836904555131,54.98233268421834,57.99140367442831,60.109284274316416,62.229884558589504,64.31575229944556,66.68756573352287,69.9350910556225,73.81418651136387,77.88077598275636,81.76919954582596,84.61618529923442,86.49667231719006,88.13984541729265,88.44698073627083,88.56212715931983,88.96574396309897,90.23317726801628],[94.20393881123226,97.16634301064448,101.41471045304608,104.98741020568977,107.62235799666608,109.08501399592772,109.10260200833682,108.03741853152736,106.68423177800975,106.14691592661902,106.78434619131932,108.85539549412495,112.43824186063316,115.5667036147691,117.67798418386275,118.53226568508916,118.38852953994184,116.0923405824062,113.52135002766182,111.3902949206336,109.90586609330447,109.89974762336526,111.39680567870182,113.75518019146993,116.05389463122727,116.5127823029298,115.69217217551446,113.52929177336144,110.48759909065609,107.11897039325305,103.95585573417124,102.63882498808954,102.266210006205,103.32366969307287,104.92379034662585,105.33501663433825,103.91162635997675,101.81120332915867,97.94739822540811,94.05063138513006,90.24610851323429,87.06905665533218,85.38809229189134,85.43217770671983,85.29524644899375,84.82511460011752,83.43102137365779,81.13770444390858,77.9557358058003,73.70544245161182,69.52307035303728,65.79511486028507,62.75683048778922,60.5462629771513,59.04932979749792,57.193048104907554,54.88155984176222,52.312885055451424,49.060227167374244,45.852486785194344,42.038237375982135,37.91681863502859,34.12023475836005,30.757488979826068,28.053641536138944,25.19593241316074,22.573411513270113,19.6715168149141,16.921787734564102,14.9720789390981,13.27109478001002,12.320202379905869,11.712322960382219,9.76153630931072,9.348607729099125,10.730399511469484,13.668633256161193,17.409571092088846,21.57935218139479,25.644876299795058,29.304408067917056,32.19911386533227,34.815457074609895,37.01746135888692,39.647226581000496,42.85782654907784,46.896329636413014,50.892197410628526,54.514257180850535,57.72974169145969,60.6095079091926,62.45767833693917,64.29098652201948,66.05667605039406,68.18477416641164,71.33862642325424,75.21704962585804,79.35921110077868,83.30371973971349,86.1260481158338,87.91155153758464,89.41304466298438,89.49178061560443,89.36082105873676,89.54852874350581,90.6359238712072],[93.99220606420575,96.89954411587965,101.1239539295787,104.66198347124745,107.24368077780171,108.62127358750034,108.50089036103567,107.28248258127996,105.7466724094731,105.02805373508708,105.50964894110956,107.45485157833247,110.94886578754792,113.98780089261444,116.03773307611722,116.83216795246985,116.62575149427845,114.24150773404723,111.55380998583243,109.29877800401948,107.67284550647055,107.51766615116098,108.89226052137914,111.16226440011593,113.39117120749292,113.78784916258446,112.90697299964376,110.69902219038312,107.6056056998367,104.14361291048614,100.88174633008107,99.44314198888813,98.95155788659017,99.91204818010915,101.45460775570972,101.83696814227591,100.40654920294277,98.3082615622751,94.43338806175882,90.51855394529868,86.63888075914954,83.35693645183073,81.56558298466871,81.52210063140824,81.33122121464335,80.8679795559853,79.52924690211107,77.30433574655228,74.20019843091133,69.9589888127412,65.75896145899516,61.948451540446186,58.75604584085897,56.44286804393346,54.92685073894622,53.16917630010901,51.013082127879024,48.64197847174792,45.55791945686914,42.48709049956367,38.65071417051749,34.4025579683107,30.287069796834967,26.664717705839568,23.804265674124952,21.175769690235267,19.022532816768706,16.867828789602505,15.106256835727159,14.061720731694654,12.92055285024809,11.823692622845128,11.21316383542244,9.543876569715824,10.363886617172763,13.261406564629906,17.150762825078182,21.301272105956468,25.480692346262686,29.203052603875857,32.442272687151664,34.86593673810509,37.043144026380176,38.969036588224974,41.49431806427704,44.79095945699644,49.04873185177686,53.24228950998482,56.96783680693395,60.099136975645834,62.799622593449186,64.35682172471171,65.89729752663088,67.36332623835376,69.27664438362957,72.35864047243959,76.2389012461431,80.43795977076508,84.40406897528206,87.16713094791248,88.82110503830914,90.15782212592208,90.00118006928179,89.63246033484715,89.62694384354604,90.55473509912711],[93.32959055649853,96.24435598684154,100.45308868386891,103.91297233894147,106.37815785481541,107.60266257628435,107.28774119851973,105.88007525676812,104.1613524683363,103.31437788273978,103.71366581131748,105.60033368032133,109.02854217189862,111.98338068989513,113.92394183855082,114.59744628130767,114.26874714498224,111.74877287457429,108.92744381813333,106.55671684374148,104.83854517473334,104.60188505164773,105.91560621866788,108.12463199624679,110.27145646074672,110.5568042640531,109.57426705839296,107.26376280004577,104.07650470193292,100.52598610335397,97.1927991466644,95.69563826820364,95.16526237408677,96.08828194003047,97.5713773761458,97.88659992064619,96.38168228922905,94.22451988232432,90.29043048857231,86.32060190415925,82.39696452647142,79.08787911980288,77.2947321219243,77.25759533829216,77.08019617154176,76.61444970102842,75.25913935144044,73.02025053789507,69.88396566939076,65.58883829115499,61.32692513116504,57.466444936103045,54.27744236898407,52.022178484373825,50.622078244868334,48.97955690114331,46.92813699973616,44.599103417688475,41.506787048039456,38.39295798666239,34.41529891486678,30.03375631949135,25.75792282863194,22.12576139320314,19.527452464935774,17.48928052984689,16.100858370969878,14.640565947267142,13.487494294546973,12.837170008164936,11.848956099115378,10.552055194384515,10.306227021240968,10.072621109342604,12.517995782404775,16.413471611534206,20.59608819377826,24.72794435395282,28.57916461294448,31.784048850051352,34.53175880926609,36.55203579370206,38.4467821295538,40.36787546294379,43.00839350911361,46.5410634214686,50.99145562793368,55.27902601119428,58.96117021364791,61.857177536461286,64.27109340829438,65.4997048773547,66.76247270061077,68.02921913611118,69.865153374904,72.99667166731362,76.94106275713214,81.18411892809414,85.10004061495077,87.72112568603535,89.14441782623791,90.25347947433362,89.84135356520186,89.26273424776511,89.1483595893938,89.99979606858966],[92.63345909855776,95.61335915899832,99.82204443428644,103.18595823149022,105.50522291388268,106.54675909448193,106.02107918918908,104.42064840892627,102.54482356596596,101.63643174328445,102.0339980905027,103.93521569122404,107.3341296630245,110.22829785617118,112.03907908349898,112.56021143213562,112.07659914436707,109.39565399736756,106.44169967661796,103.9762871000232,102.22449139977881,101.98462130513391,103.30719129284721,105.49372816078079,107.56384304726068,107.71309966896179,106.6075573320375,104.1543607411451,100.84312244253789,97.21573643169069,93.84406072627513,92.3562728115398,91.87007792985584,92.81917279148344,94.25192082429118,94.47452573094833,92.84019199484696,90.57076600935623,86.53348262148819,82.47087122103099,78.53412306459136,75.27773269110841,73.59134141182297,73.6525387154288,73.55110005748658,73.06920916696717,71.62256613506898,69.28197810684739,65.99591816239538,61.58451872948297,57.22006160213254,53.35060056068085,50.342163007226134,48.313511087179286,47.150733301163406,45.615458558747854,43.595889663973665,41.12743980074397,37.827347219030486,34.46355612942648,30.210043705764612,25.68863985851036,21.489187424651607,18.223499567683017,16.48027861368576,15.412966407355675,14.96971075779074,13.949496643274957,12.801849345879459,11.873815792589447,10.619417082828873,9.058848914207209,9.613052117662223,11.502262924292804,15.268367797896927,19.637366779152554,23.70418832652404,27.542237945833058,30.862347815487343,33.460725898968825,35.69833694157092,37.39974990940892,39.159725247438885,41.28600270729598,44.19278323528957,48.03547020601101,52.618770835492725,56.899684311490965,60.42785680902094,63.0043060289594,65.08847427737527,66.00663911530152,67.04507823659266,68.22892017563174,70.11918159311355,73.39892770116771,77.45325089596896,81.72613420848099,85.54396082991319,87.98505463326859,89.13583155002999,90.00405727161568,89.35996827056468,88.62859798813605,88.49807865006336,89.36216860622112],[93.37650265788955,96.41308671868214,100.60294924896507,103.86716163824013,106.04777728799534,106.92707786422584,106.23382923995806,104.49258865146633,102.52038047991398,101.6005484162613,102.02554541626982,103.94782794602668,107.30555206346001,110.13176602112952,111.80841618304106,112.1764094373649,111.54379803453028,108.72661259773146,105.67492478711372,103.14754039739947,101.39314391389122,101.16085814134712,102.4836393761883,104.62458237285468,106.58993004236261,106.58021970462468,105.33409510573892,102.73582055683143,99.31165197606919,95.63512986776357,92.25327927870369,90.78682928860322,90.3353117552077,91.27420140649888,92.59583093903119,92.6644509790254,90.8517899809694,88.4275158489354,84.285041326502,80.13872507333343,76.22875731309807,73.06926481710805,71.50024101552076,71.59614804783277,71.48837615270604,70.88437861226073,69.23580679618975,66.70841788568511,63.22711715727066,58.72177318646767,54.31157151704745,50.51399361211409,47.75401289728848,45.9369413527897,44.88267541255158,43.253315059879036,41.06492266264317,38.28988183502894,34.68880079550818,31.035079197838858,26.626773257078806,22.158007778230704,18.438785476784716,15.873505657826927,15.063726198829558,14.555357175948993,14.542255881842461,13.467078683790705,11.92917823134901,10.663194274706322,9.553359146074001,8.861019408717858,10.8687540335405,14.398129053932482,18.6622112656115,22.972596140999475,26.67498785783898,30.102987380328283,32.93477924527902,35.13353343790266,37.087304522388195,38.722214605838005,40.57379794705117,43.02430369108538,46.20502130280725,50.263260278248026,54.848896797647264,59.0226624575046,62.35408613847513,64.6663611416872,66.51314431485666,67.26320956188327,68.21371863056328,69.44408894469538,71.4628745805705,74.8862795236016,79.01567706071249,83.27046490513919,86.97177888582182,89.25254325567688,90.18761400991673,90.87781099866044,90.09719560292616,89.30630538435118,89.22630864503378,90.14585098360152],[96.4092063525151,99.45367734376333,103.59338233338363,106.76146132871513,108.82549649145545,109.57592252632372,108.75859446047085,106.92014771387207,104.88402623476773,103.94710139894694,104.3652460586054,106.25670588705569,109.5270706728352,112.25152697987856,113.79254193708019,114.01582577426332,113.24915456570703,110.32501774603433,107.19428846005223,104.60790900106083,102.82413573103524,102.53617555385304,103.78317780625868,105.81059044447498,107.62077385259506,107.42655782651752,106.0176396984305,103.28360478093414,99.76298528015832,96.03891369257548,92.63250689401838,91.12584673309452,90.61427956722405,91.43215694402555,92.54348053637946,92.38396925765923,90.35461383386992,87.74659976161048,83.51359534290565,79.3069599964877,75.42872175190452,72.3356335511108,70.78958077691021,70.74492060922888,70.4585214400915,69.58897735097926,67.63893825886237,64.87311378771854,61.223613851860236,56.69224467842083,52.331042806780076,48.65659613527792,46.056872429649594,44.2712721674329,43.03971499988948,41.040009429993425,38.46285100494966,35.287337017209296,31.410515279831962,27.587568919769883,23.326944516723156,19.19492478521223,16.298861941564972,14.485943825203313,14.108046760216634,13.385317680566253,13.22709270144878,11.84977066871481,10.16619465527874,9.338521555537614,9.691707821510173,11.197081371897038,14.486781669999452,18.634208673548436,22.868526291360386,26.89476431415863,30.23270203762802,33.32380116085378,35.88232564134102,38.00681966814033,39.97320434312401,41.7797997333008,43.87624502013993,46.627655556330865,49.987069546252215,54.11304583583296,58.61267846228775,62.64856580961301,65.8221431707189,67.99972191613558,69.7495988920653,70.48195271649932,71.45959971434286,72.79749641779422,74.93657194669233,78.4352466897793,82.57859068188355,86.78081515356793,90.38195505389766,92.5512610368926,93.35948742568817,93.9444842819073,93.10730153484252,92.31038403738452,92.28403271344027,93.24086639715559],[100.201608900746,103.19706812928071,107.26004986732478,110.3419518084992,112.31624651969041,112.97509134630421,112.07348387355495,110.17235948112433,108.08530369158002,107.09907680992234,107.45323786588116,109.25207351502522,112.39404916534939,114.9899788565963,116.40795028025519,116.51172973191107,115.64371250187392,112.65480316739772,109.47061046418152,106.82908375637122,104.98241298965168,104.57319903896513,105.67587438339167,107.5396778882089,109.17054012830238,108.80065825561041,107.23867399653031,104.40974485258091,100.83500041656589,97.07832224572968,93.63923786682197,92.03855430478303,91.3863106714187,92.00314565657143,92.8582057029105,92.45632286824068,90.23361241605922,87.46959282032975,83.19335803874152,78.97789995933981,75.13537324698592,72.0640179328161,70.44602010796096,70.13440910993937,69.56317146825698,68.37513141226108,66.12529802433411,63.153989564689674,59.42978988858636,54.968303544837866,50.75477079940891,47.230304126839144,44.664276394274495,42.74237548871204,41.137993068315346,38.63995735335241,35.60737924191462,32.09040920553849,28.083620728568295,24.327117369435975,20.57877302068135,17.10282863266788,15.21077709725101,14.036883751944842,13.595331382602645,12.269320001481242,11.7447158997523,10.344734979877598,9.321719851382802,10.001759038225224,12.243715281410314,15.337645003263196,19.136400330380365,23.24070007918689,27.240431792793235,30.99145813905146,34.10676992506674,37.034559348183,39.531611635014684,41.77503288538661,43.89221984982523,45.90414325323283,48.19918704330501,51.09242778915373,54.486573433433676,58.56506798404624,62.964671522218794,66.89890589683259,69.99170894712339,72.14175938903664,73.88700156723336,74.6616254366001,75.6865815328999,77.0866660987343,79.25955170650326,82.74170281161976,86.84053622661455,90.98009019399606,94.51511708462186,96.61604832385444,97.36557591966957,97.89105354931365,97.02714080496884,96.22057666895209,96.19557982201782,97.12993905735519],[103.78599565461809,106.71088739509729,110.69777621461421,113.71056669028236,115.61824263889508,116.20819213337944,115.23603037991722,113.27646276954107,111.12491305862612,110.05626025245873,110.31104645034512,111.9903111529939,114.99865301303126,117.4663662045983,118.78298316225441,118.7945995048814,117.85105917384197,114.8142161999287,111.57808043202229,108.87210880949819,106.9355573170284,106.37678110017357,107.31283079337241,109.00784792390154,110.47214503336862,109.95510170784681,108.26702367025187,105.37346969026483,101.76502927305648,97.96989607672619,94.48167913344417,92.75647491528044,91.93237371017312,92.33160517736704,92.94702138678478,92.33779824541493,89.97091259938523,87.09875550708388,82.81111340631321,78.61127778833165,74.7839724275869,71.68974795672659,69.94771668051855,69.34114121374388,68.47444394918764,67.00204169725282,64.52070314164787,61.41662419562301,57.701718169538516,53.352649801388885,49.312225238713324,45.90985048867761,43.27909793142602,41.14348396030551,39.12621058894601,36.16710565909644,32.74985109782942,29.030805356170827,25.070655713375128,21.601795040397775,18.58440083103026,15.909192956504173,14.894914066117604,14.166922166584419,13.49401784372798,11.709154456966292,11.088671702093846,10.330871964002904,10.747909399269433,12.8703701517255,16.116750184526868,19.78327539571585,23.65835390239259,27.540490306756656,31.328490411908998,34.93693014485636,38.002834374590606,40.919602017316436,43.48240824514079,45.874518948452675,48.12274110758531,50.248926811064464,52.618200287353574,55.51618889180147,58.86668985299402,62.873191703174946,67.21668282107974,71.1143079134098,74.19468297544528,76.36189519542475,78.12203781532709,78.9159342064936,79.94646902058989,81.33443936771613,83.46965602388872,86.89290104543902,90.93452529160795,95.02925050790464,98.53023608285892,100.59052323151565,101.30560068673681,101.78239337602587,100.87683851340654,100.02614031463851,99.95271266906592,100.82313469675664],[106.13384021220241,108.94967352230842,112.85765135161716,115.82179122506268,117.69058306921983,118.2358848751124,117.19752534997104,115.16528315458616,112.90646627445774,111.68446054485813,111.76882923351444,113.27400559231876,116.13261573737353,118.4653351986118,119.71093113256853,119.6710167627058,118.69023316211046,115.62388255200487,112.32514601187117,109.52635462490758,107.44270493757234,106.67650479091297,107.40594263979855,108.9272249957066,110.2542818863368,109.64618354068654,107.8819002327239,104.9745731120488,101.35837369138316,97.49884583546566,93.91569141310875,92.00535469531398,90.95479167812287,91.12101764573781,91.55215486570567,90.82258661312612,88.41386697570987,85.52751958633769,81.27117922243485,77.11002189143828,73.22959821974557,70.00023246129814,68.03025131589409,67.10756155859097,65.96582351371829,64.31944620363883,61.77937895475693,58.70448562917532,55.14563003836536,50.932582600640075,47.03120496183834,43.61369292810251,40.67343822021346,38.16812120736604,35.71935480942645,32.466653085439,28.91172993902673,25.356430692863768,21.7852559267816,18.944667184943874,16.66357853124367,14.516567027213892,13.637298863771468,12.829090799554836,11.662877292196654,9.908915916037367,10.129885261881233,11.252589250043783,13.66959594441907,16.883125523192213,20.457192289285466,23.947984863342917,27.50472661201753,30.947217566704406,34.55762364985839,38.224187685884466,41.51308941521252,44.66811256853416,47.48319137917007,50.03756124763411,52.34701101997516,54.40885377066674,56.63378630767207,59.317961256908994,62.499479217913475,66.4034763429951,70.77155899664737,74.74329169535959,77.91501455474558,80.14551267694753,81.91832342548616,82.6547582119179,83.5867339162995,84.81420985215107,86.78033460642565,90.07138294718236,94.03388121792634,98.1134488253378,101.62557620163484,103.67481276303319,104.37092434438526,104.78931836088948,103.78621376780343,102.8080271577408,102.58895311952347,103.314168694572],[107.3636523237494,110.06860192594502,113.89942061068777,116.8181991819227,118.651904855898,119.15580173447783,118.05093481327243,115.94304444571969,113.57042867586439,112.18864948302347,112.09884016509986,113.43044012731934,116.14704283414534,118.35426611230506,119.54297014363121,119.46884833338258,118.46600624740378,115.37824542662707,112.01997307579263,109.13025393684173,106.8988612468488,105.93359277793417,106.46923716941778,107.8369768609328,109.0546133335825,108.38790566299596,106.57661326181315,103.67655029039484,100.06534863530037,96.14400720810163,92.46739973016618,90.38038382148233,89.11878899001033,89.0807771918005,89.37568403035348,88.579333816334,86.17807758115103,83.32066336817103,79.11301641214197,74.99991343015398,71.05486201040554,67.6773337452988,65.48154366217308,64.28868034346281,62.927277713841576,61.18538960592586,58.67579658024093,55.70056533283685,52.34204614414555,48.26607118491751,44.48811820947221,41.027735927324954,37.747298811808776,34.87606716235998,32.058521558953245,28.649207318859823,25.126927852673976,21.94496433037203,18.96213031862007,16.9373257415739,15.409665242025639,13.785642387683376,12.882376548683544,11.984468568716789,10.566727594387908,9.56160932306585,11.102603717804854,13.851288054986135,17.37821793963613,21.01218458384858,24.555274492938306,27.677957358701953,30.857752045924116,33.909455041192686,37.37966388319597,41.13410762783331,44.655765276460464,48.03728599791135,51.05221265653254,53.673697257787445,55.95226000772025,57.86677575706326,59.8797429140124,62.320198663792034,65.3219453266378,69.1329775496911,73.53718836142593,77.59180914873156,80.85121221933028,83.11393245341146,84.86113602209836,85.49246628336908,86.28372774770422,87.31472787444426,89.0899416723146,92.24236156471662,96.12456071034161,100.19044530266963,103.71039441909129,105.74193133795141,106.40412782944331,106.74864485079189,105.62585632513186,104.50015090344132,104.12080468332151,104.69150637136364],[106.89174628635023,109.50093304669731,113.26566419162992,116.14063074332296,117.9361249930871,118.3927578303888,117.21229732451906,115.01841991693269,112.52482320200859,110.988987696891,110.7413229574237,111.92357134818471,114.52461230101174,116.63091898249262,117.7764984017935,117.67960310633919,116.66231084580755,113.55129150383158,110.13315469720568,107.15784404276506,104.79385591549328,103.66581113634729,104.05237162209902,105.31399819868656,106.46824937354233,105.78131888032283,103.95628069280826,101.075453415011,97.47036615279208,93.48864884474332,89.72511654865153,87.49454644581976,86.0766741951518,85.9098106370163,86.15424944620398,85.36709307021756,83.02521102576564,80.23800731752881,76.07804691895605,72.00166989391072,67.97536648259806,64.44548946162813,62.064620255331064,60.72058192217232,59.26936595705274,57.56514426985096,55.20299794972208,52.40254948755078,49.25254859704689,45.25821978228266,41.51664222161931,37.935051705964064,34.30265362193692,31.14125874137743,28.16473445586712,24.894395942903977,21.71769212688241,19.176748807137365,16.91336611136112,15.680167965484664,14.54938909758418,13.130084684247722,11.870225248674092,10.92463649338524,9.78725148216969,10.436864685359765,13.368468743803945,17.119431838492666,21.08497823742756,24.706315248393956,27.931406116067674,30.475198148890303,33.196671273625554,35.92758486933751,39.330924133575834,43.229832895741055,46.99461987261136,50.584060830950584,53.72289608754327,56.283503010090406,58.40988918019099,60.07227488198429,61.79352925028232,63.965856027697484,66.79256872726066,70.54021758521067,75.00016433421538,79.14248368303578,82.47188228313105,84.71216753033175,86.37377704669863,86.83475378761308,87.43173661705721,88.22918402425748,89.80085865281569,92.82553303447276,96.63999013252375,100.69835284494417,104.21555532911572,106.21012618783692,106.80629878507145,107.05038588912822,105.77812107717459,104.4842597558353,103.94038233035779,104.36050532845546],[104.79095142964758,107.34093781045215,111.05116051651851,113.86321161313982,115.58850209860913,115.95964537548895,114.66592402975101,112.35627250691542,109.73114596934015,108.06682334147871,107.70522729796106,108.78704132901184,111.30279174544003,113.32827758996342,114.4158547341514,114.27194591132,113.21302656051134,110.0490246931578,106.55828660416697,103.50359600434597,101.04457648202214,99.81874201323056,100.12483215188212,101.33265698809399,102.45263167603751,101.74552944825395,99.90752288545333,97.01796284114349,93.39222438068141,89.35173774272727,85.52173755615846,83.21390407134463,81.73157538965265,81.53376195579159,81.79747120673609,81.05686224031435,78.77055567606487,76.0440505944893,71.89338661763075,67.80954616995994,63.7013711438428,60.064881469534285,57.60675135043097,56.28201931215933,54.9062593202373,53.351076798444836,51.18074915129657,48.55110041733659,45.51913294226566,41.49645020673551,37.6663605673692,33.91043862496366,30.036449941744753,26.79388359390944,24.011815070260244,21.24063578081233,18.73154081498441,16.914189555938005,15.22909667273867,14.44526582622822,13.247885415143198,11.809892301896012,10.300642259360494,9.894112014421598,10.152580389040555,12.86499432966513,16.77781145839353,20.86151174255797,24.69710832192264,27.935594124630917,30.615947269821014,32.46033657660824,34.72047042355984,37.298360078601306,40.75836947680861,44.842547445933185,48.79346027709429,52.49728738838708,55.605195752633065,57.92578158218117,59.749663262314996,61.06167926466664,62.444342836914984,64.38597141248233,67.091291273098,70.83704540129554,75.3604372081553,79.56264024723323,82.89791499098654,85.01345161034355,86.49350324724,86.70642195042325,87.05753158574149,87.61307693824236,89.01026966407504,91.95236560230265,95.72828815902022,99.77833688928021,103.25512757442658,105.16175262279336,105.62147057353886,105.71252259084889,104.25050614490821,102.77416043782594,102.08988231620165,102.39036551245889],[102.54857414950469,105.08092856462507,108.74624752553224,111.47279958660523,113.09126092632518,113.33520851107663,111.8909323413889,109.43918909874172,106.67843943675682,104.92009204295776,104.49767670969344,105.53181931816553,107.98454004460076,109.9380714881886,110.9349081696815,110.6996579782226,109.55351160328787,106.29548651004772,102.71477733482854,99.58386839361582,97.07062859564977,95.80648426450101,96.08836870029688,97.27080754074281,98.34960111867402,97.58101221396835,95.69211932084038,92.73848174656528,89.0498318576756,84.94954176027888,81.0779805073639,78.75435780415096,77.28980047539682,77.12533583711719,77.41120603822041,76.68186106938633,74.38344574589419,71.6514062729418,67.45434307902202,63.314810511395756,59.15022854237912,55.488882048635205,53.077950721312206,51.892105955855314,50.68422048273036,49.27942152372894,47.220915843966985,44.65927722839031,41.59318350624452,37.439435323614234,33.429678808706356,29.506615009709023,25.607209308901943,22.564040326335416,20.319664101873116,18.263679609642317,16.524518425776503,15.235678711730491,13.830754037413493,13.16096223220296,11.699879784053774,10.477334770382557,9.44360698133537,10.431196888177096,12.537182295328357,16.507699725132124,20.805635837087245,24.771521738023793,28.188419537146093,30.90209144466582,33.02887405614021,34.289606026501986,36.22602841559316,38.868443832129046,42.47505098513053,46.717741118266474,50.73774262494226,54.42701560309466,57.362632645626014,59.34095855064025,60.80037386008794,61.76401130154018,62.85354577876753,64.6688114417169,67.3396811798928,71.144111734378,75.71609411133242,79.92821911877223,83.1976090024803,85.11012303970244,86.34927177233978,86.28801967813237,86.39306445642568,86.75111837984376,88.04151709698053,90.966324277989,94.73862347939958,98.77555271742294,102.17418397342401,103.94850962804658,104.21611831710862,104.11797357395545,102.45201718468148,100.80573287108267,100.02898841565701,100.2593559095612],[100.83948450216946,103.39385317629272,107.02113168120275,109.6421390783269,111.123854724708,111.21042034614683,109.59715883091204,106.99914187876855,104.1242171090464,102.32580797239596,101.9053966434044,102.94638837410366,105.35570406382918,107.245485073661,108.11941947932954,107.74932914666711,106.47373198496078,103.0939676685325,99.42257083232242,96.23349258532028,93.71940046769645,92.48017324191778,92.78900085123009,93.96175724515594,94.9776481070398,94.09505885769599,92.10875039098273,89.03558276763921,85.24957183335347,81.10545819258029,77.23212616016977,74.96145663290098,73.59003370706323,73.50131099830391,73.77660637659645,72.98877154789892,70.58279012951047,67.75607779445323,63.459737924619496,59.22482597284786,55.06162281266056,51.49474892511147,49.27269636104249,48.31106005102949,47.31252721582014,45.98655503897777,43.88462680219576,41.23019824920237,37.94715470052411,33.578744749958574,29.337027193621502,25.32907375176101,21.733070949876296,19.257047967061457,17.857948452125264,16.515545214591665,15.376927063031154,14.166642622742229,12.623251983642369,11.693133463627532,10.004693506127234,9.496518063283753,9.95862977760484,12.56817428723964,15.988975141164934,20.41474167978811,24.723356299294892,28.337764042983263,31.211362378756498,33.39155075396876,35.071124228039096,35.977810387363085,37.79323440845649,40.68165271251299,44.48108308714545,48.82010967260143,52.784154389469975,56.337373054769614,58.99763612813575,60.603146168685434,61.708569791245274,62.3942439054011,63.29899859541991,65.12145349530675,67.85084022712451,71.75763789447485,76.34635594873889,80.50891324944699,83.6448352604494,85.30973999881273,86.28929036291328,85.97935318892173,85.88694908422684,86.13385177034901,87.40820346435237,90.3785286116431,94.17486606245322,98.18607800104712,101.47315565168635,103.08513584770762,103.13110290521193,102.83368415234366,100.98367888699721,99.2121432612041,98.4111897976905,98.63403153362532],[100.29686271587616,102.87793639569014,106.46023327277604,108.9677035315016,110.30591946210649,110.23249233697807,108.45798591678839,105.72680119329638,102.76044244148248,100.94914843612113,100.55277929658027,101.60997206608536,103.96738990194295,105.78312203647948,106.51581628904366,105.99112195397039,104.5696779647316,101.06409167033421,97.31036608996811,94.07752553033214,91.58624577492486,90.38422804339324,90.71694670183147,91.85786293869184,92.77413250025073,91.73624422752054,89.61848172027292,86.40266079207362,82.51267460901771,78.3434414902664,74.49823023612413,72.3023998563834,71.03182429890488,70.99149425482393,71.18651236347722,70.2625216893962,67.67856845721626,64.69559263239367,60.285780979215545,55.95437549275748,51.85033474719151,48.46174996447294,46.48822682142285,45.71545734094314,44.86098352115153,43.49147971280283,41.198377925055844,38.32865088842569,34.733098165639355,30.153270623612613,25.731675560205986,21.78977672741796,18.81912627382779,17.172676096789086,16.654012120860163,15.81194467625186,14.989213684195597,13.589779652560596,11.795637709226078,10.630997571564272,9.203108717914152,10.034616547293947,12.212580349339612,15.831954594514064,19.846578975715747,24.275889625762247,28.422715828707993,31.666616375986838,34.07079056362147,35.84296456769678,37.24901206544298,38.033950510720814,39.881066229905976,43.061674276739396,47.021257252602354,51.38335444310521,55.225737687607754,58.59603105594855,60.97763290982297,62.26931753764396,63.09669302370046,63.6016673624824,64.42220766011548,66.32756357435316,69.15104682066492,73.15399847336879,77.72578584797184,81.80503406464412,84.7893099677047,86.22323215959482,86.97579128492575,86.4731735414463,86.242380443343,86.44402737468127,87.75039867418178,90.78315123542968,94.60348085144395,98.57519121709207,101.74156693402185,103.19507967312984,103.03423924547596,102.55843732621041,100.56145610094356,98.70717340842148,97.92080960874019,98.1647999086805],[102.11042955754077,104.68538121735445,108.19028623293921,110.56975373984318,111.76144793519892,111.53497501168346,109.62116645519687,106.78799934892086,103.76269095649215,101.94855666556687,101.55976491005222,102.59100465005474,104.83956491113867,106.53044029343747,107.09000343440871,106.38800515698293,104.80952608932417,101.19641997612132,97.38417181292763,94.12439783833207,91.65527792213204,90.44184975324315,90.71946600741228,91.73549616589001,92.45906689437312,91.19390624728028,88.88869509990712,85.51975502599745,81.54676598779807,77.38924253293045,73.6085283427097,71.46256017428485,70.21175263892825,70.08034709039485,70.01983578872222,68.80516952706992,65.94068445707852,62.72107072831279,58.22506423485337,53.85685239093933,49.91557212027467,46.79120362014532,45.036327699396644,44.2158205666519,43.24108267075915,41.541221372377365,38.79386644860481,35.52667383756877,31.56978898488399,26.91259112968421,22.585271241345207,19.08348878103425,17.039104776759242,16.17285163615179,15.974011057837215,14.906283776326532,13.78981452834757,11.840427941880321,9.909935939086335,9.118675286217856,9.418539009846441,12.285589926884372,15.985422148833736,20.071580673466446,24.075249503267663,28.10514320296513,31.918981340946267,34.83721988472827,36.962676056918546,38.59953758896752,40.067576181608786,41.117961289166324,43.225656466632536,46.70092306354704,50.75119713562945,55.049088851477826,58.72363636942129,61.8981403485474,64.06051278101036,65.1903789806685,65.90538658911302,66.4037487718757,67.29495017637402,69.36082987201797,72.29275397964138,76.35138106068948,80.86127378100878,84.8293719166,87.66820896973528,88.93704886751307,89.54551857325474,88.9560649759899,88.68392975163955,88.91984911174735,90.29104156265646,93.36666621093933,97.1799403028005,101.0855704577943,104.13146407662698,105.44570983423644,105.12510786241997,104.51405152934358,102.43104266985809,100.54741967542563,99.79943954500035,100.06784504631237],[105.07801172065348,107.58140007507394,110.97396742810956,113.22971165437053,114.29666354940089,113.94893908387441,111.9298160046058,109.02529470740234,105.94715114736789,104.08384888362532,103.6262603073596,104.54576311035964,106.62291248628728,108.14335982811627,108.53774399497394,107.68506725269407,105.98615548148899,102.31488168999611,98.4695092265742,95.17990418767859,92.67620691942103,91.34953087240694,91.46250010315305,92.27002438689102,92.75617871279323,91.26950941627587,88.78858851835034,85.32488990603959,81.32788344976248,77.19742666174811,73.46043753008261,71.26700671627414,69.89560884722657,69.53057025641822,69.12698243290367,67.58991172888736,64.47988053497879,61.07207925551298,56.57931984097926,52.276107099640264,48.51169080282616,45.57633647891259,43.858285678729935,42.733984054862276,41.41447551580459,39.26235842947326,36.04117925845682,32.426036941756784,28.301446772986665,23.81925884231897,19.931678404799637,17.110198277712097,15.776832330251489,15.270135768365563,14.872592932458128,13.343592082390863,11.967360031205537,9.992887590243745,9.045798056597514,9.934906162751629,12.398086857402033,16.34817098835408,20.532408270716193,24.56485774328134,28.235801573508926,31.854779957987656,35.404769223865344,38.23253600819301,40.38091435086823,42.14671122568832,43.855125270583265,45.23799137577329,47.55923688847117,51.12566490017694,55.15110879524527,59.36116075733256,62.93382688331789,66.01322358831834,68.10130074659169,69.22171190342841,69.94677365898447,70.50000970907416,71.46468703688964,73.60339502749541,76.55337274322075,80.58702414949515,85.02524878222944,88.91145462859743,91.66709154411008,92.86262276745202,93.40822046653284,92.78884194423678,92.50021052474449,92.74064595576047,94.1069343040103,97.14510019995164,100.89750925897883,104.7254101393615,107.67798085274698,108.89077538006376,108.47050560771692,107.76274471197739,105.61916568262235,103.70097038731075,102.93986675772972,103.17124497050328],[108.16007200014263,110.5581877998076,113.82808351857773,115.97431350923256,116.94209370720318,116.50416920083546,114.40756457164385,111.4522061377624,108.3224678383363,106.37782806790085,105.80496335544109,106.5679217637896,108.45287479874759,109.79195020990014,110.04537573387881,109.07793571007328,107.29760459853793,103.60661425251651,99.7449429765125,96.42181170234764,93.84451040855181,92.34958100600974,92.24632530505464,92.81896280456392,93.07191360203629,91.40118984609137,88.78055753112912,85.27823136940977,81.30224456684353,77.20252544010013,73.4856315297556,71.18174875081678,69.61146203322461,68.95216574611159,68.20136473291446,66.37569143253799,63.09250887613065,59.57290832721501,55.15559398508441,50.989103320724254,47.383254132065865,44.55022106551758,42.73496167707936,41.179325571017664,39.41805872852648,36.803979190190724,33.18219589883571,29.33462437611969,25.266971963565766,21.194002415163958,18.043405558738986,16.03508148882344,15.128503998679482,14.66149837382833,13.830985929544005,11.914465419532366,10.656019182758591,9.540200812870758,10.476124253649028,12.978986124329886,16.58501003571827,20.85167850103396,25.015646865712498,28.81921320352301,32.11100652469394,35.430508159352584,38.823073083897924,41.712152222798096,44.03705512062505,46.02779567976468,47.984666634265544,49.61079721772917,52.03821944158999,55.557237800845016,59.50290278426492,63.64170964279511,67.17923321749731,70.24617337616901,72.3543227616671,73.53309765734956,74.31049379245601,74.91087406129358,75.90359104163714,78.02836357307353,80.92898856815599,84.89448950819839,89.27304984708805,93.11306540661931,95.83798851196352,97.01637680948181,97.54195452066128,96.90757197421657,96.59493242346882,96.79585985039162,98.09793782544628,101.04862715690948,104.71367128269867,108.46727780831246,111.35321964961986,112.49566691218692,112.0160835342979,111.2372977470198,109.04101905096317,107.07200737405019,106.2542981263856,106.40619965148406],[110.16627622001262,112.42435629190422,115.56484511000085,117.61828831369887,118.51376553509088,118.0140825785201,115.8550638827206,112.85037179581151,109.64483723717683,107.56511538690437,106.81736340498496,107.3757586223738,109.05534646599567,110.21136851948681,110.36124598562616,109.32963015096553,107.51632077547394,103.83665533326541,99.95795810621127,96.57870473089751,93.86871937540002,92.14616325915111,91.7853742470142,92.12133392637764,92.18108621296459,90.40042509620883,87.70699440513694,84.23272931054726,80.31240724516975,76.21292314299686,72.45378401120828,69.95872493398213,68.11413135509711,67.13544647766405,66.1060657545798,64.10332888368299,60.78330111226105,57.282005582035154,52.99794897347149,49.001505131485395,45.44552642164318,42.53384881861747,40.44511349449117,38.38769650335854,36.17062015288252,33.217455171483856,29.43159138316431,25.61501655209515,21.926910943237928,18.413355650854033,16.087713351724222,14.692196699294643,13.665526550692253,12.937650049221443,11.712282107896709,10.079766584852502,10.072607062182646,11.062810953645796,13.814033475147685,17.246796833470597,21.1072205962976,25.198156640658134,28.953243101881228,32.41661164750108,35.39035354345293,38.65443256592236,42.0927182556976,45.227584735900564,47.85205919521637,50.08464248416742,52.18469756439517,53.83070888429275,56.17532923521827,59.49300856851183,63.31398039963193,67.42187055208188,71.01707005192699,74.1666989504141,76.37461212029376,77.62257215385388,78.4235972043117,78.98417709730955,79.88651322520799,81.86676748185948,84.63130054602719,88.48939292340643,92.832201401876,96.67353188490706,99.41982052739644,100.60834307585681,101.11613888565788,100.42739644525102,100.03134284146243,100.10169256025146,101.25208823628299,104.05698357899865,107.60792993765928,111.29410504435513,114.13708370489381,115.2313538807283,114.71135702449972,113.8638451200685,111.58770667972192,109.51845382269904,108.57779387272785,108.59239966483769],[111.4946305229808,113.61726777837666,116.63788057165235,118.60987671454863,119.44514144488501,118.89465576837638,116.68014258634102,113.62757379208819,110.34309808232291,108.12491302588398,107.20248024190835,107.56267266196664,109.05356498069912,110.04431978878874,110.11232257454722,109.03907215642717,107.21210233775457,103.55218030775191,99.65782981882343,96.22186359784679,93.37632434754232,91.43397141504414,90.8316363215884,90.95696942676666,90.85970051768281,89.00875331168,86.27829657845214,82.85685541760334,79.00222387904478,74.89543523197584,71.08276890929962,68.39382505356478,66.28245394208379,65.01189829338814,63.76125949472897,61.64720182298703,58.35403653644094,54.929095513581345,50.80105890209165,46.98616441827627,43.45008144063062,40.41448478597953,38.0208583777623,35.47888197928438,32.840627452777014,29.634018826707344,25.82299642861026,22.200116081130933,19.11044513450793,16.325489069954322,14.958567490293474,14.162563113281962,12.9201583477319,11.945861612666459,10.604013436529018,9.948777711446503,11.556013783063689,14.16742193449998,17.790061661037225,21.58824895374192,25.40357267733735,29.2336471088138,32.564636019627656,35.71759224128489,38.45696377306959,41.74515318618566,45.27153176759543,48.639698971020586,51.51314478259957,53.91297771488898,56.067606336200626,57.638583773537576,59.84454743337174,62.95034389173332,66.65194090255916,70.74219190851652,74.40736279120244,77.64678042558346,79.94737379870163,81.23443030242336,82.02603932088103,82.50970983797238,83.28577977872796,85.09763845096974,87.71721309049074,91.4698688677897,95.78441550504704,99.63490499355157,102.40715787888203,103.59934865043789,104.07770663087213,103.31619447385926,102.81756182000514,102.73840670939518,103.72535901646916,106.38381714428529,109.82452417149422,113.44956947797081,116.25542916354456,117.30730736551322,116.74770905507644,115.83180107643653,113.46843356138865,111.28979783691291,110.21833234898128,110.09303055506268],[111.15758615228997,113.15639065259498,116.08390424899454,118.00669655790422,118.81586320836927,118.24788226187677,116.00458124447043,112.91856634431763,109.55974480838651,107.20310092976695,106.1129108523535,106.29723173268874,107.64632393037107,108.52129720352202,108.56270657041205,107.50256351367995,105.70658365932067,102.0848343249853,98.17976284708708,94.68792524268538,91.70370655745359,89.5663375394028,88.76807324947939,88.75281996637743,88.5882604525463,86.75729619718993,84.06266432742153,80.73552750137907,76.95536440859283,72.8179223369353,68.91604009417972,66.02781910138069,63.67443012106756,62.19369549668661,60.87110394646305,58.800538006923105,55.66331180313907,52.419807445651344,48.44919663758284,44.78354523910469,41.15403121761876,37.857881839090425,35.08536889811555,32.158089426091145,29.24043538364026,26.040086393039946,22.55962040216488,19.471733895484334,17.239630789141735,15.126844490994513,14.421436763602646,13.779436551555422,11.916809196912402,10.597015133512366,9.530719266273973,10.567834016734958,13.730857900385356,17.42117766254151,21.415822243481514,25.263514521415544,28.748064559294818,32.150491061363425,34.94730194883639,37.777897090926956,40.36634123555258,43.79977170803051,47.494435401737945,51.10875844501603,54.18710381172774,56.672119388421436,58.765727441569105,60.12137875752698,62.092945562862205,64.94352062028784,68.51710693840332,72.60389345064254,76.36097113749771,79.70620525303862,82.0991522591532,83.39120790765668,84.13057881933838,84.48069442890419,85.07188531544432,86.66721043769861,89.11462989207044,92.75566053161121,97.0525401887815,100.92863398026351,103.7409152998696,104.93669584775411,105.37859862667547,104.52383584417682,103.89983648579837,103.64336896867125,104.44769883867666,106.95524956749443,110.291497572082,113.86946471755951,116.65578855969812,117.6845238564714,117.10135824767993,116.13034598120502,113.6798755521348,111.38447472973456,110.17140798006632,109.90339536232739],[108.7805579003843,110.70172594188926,113.5606080996151,115.42613866452956,116.18503247047015,115.5644185981475,113.25026289179718,110.08841703565238,106.62811712784871,104.15212846045124,102.9458319619524,103.02284212199083,104.28632831425826,105.08904035073931,105.10082964073673,104.0336251684499,102.23687486458037,98.60078081266747,94.64700318129937,91.0874944213814,88.00161821740005,85.75719975714169,84.87155308334002,84.81142276021649,84.64347807885534,82.84476831614619,80.18593936852352,76.89482933030959,73.11855711409993,68.91015206157452,64.91124606606616,61.902842597062936,59.449061385065214,57.931977445791055,56.68085944742699,54.74099930784492,51.75359312250302,48.663193122888536,44.72648066400068,41.059558618546305,37.24630661866242,33.68720007211599,30.68087426307602,27.703340726428742,24.87389290208504,21.997392842645635,19.05764258524711,16.57281409519651,14.923656676807076,13.009826629902598,12.47354824321217,11.792356444435427,9.742601986304829,9.0979516011831,9.921137059065511,13.08018958148564,17.200329274127654,21.148493532326555,24.913306845876658,28.381158763406646,31.247832570258634,34.170693954071055,36.531469718405134,39.235167710565044,41.9671064255626,45.74293130386599,49.679280278863736,53.43089295235105,56.50566824911871,58.847877485157404,60.66645532009709,61.624322704056794,63.28043889004279,65.94344803504514,69.45469755594742,73.57424235325571,77.40170527206024,80.79913595069421,83.17645857301385,84.32266757314197,84.86715690640659,84.96996141820426,85.29844350970474,86.67467275381678,88.97492012523551,92.54877011261935,96.83831829951123,100.7246104504292,103.5292514058793,104.63714572605612,104.94957608779299,103.9134505588088,103.09774204008765,102.63359842922935,103.26731019495777,105.66447830833893,108.92763066428842,112.46586676427984,115.20466300775044,116.16687805929406,115.49216084473522,114.4119156972534,111.82308161108449,109.38276437668665,108.04189649479903,107.65761377168563],[105.87243562748594,107.72538586898037,110.51667019008052,112.3205044868426,113.02366773994925,112.34744873604339,109.96485954744017,106.73384435998142,103.18642069028103,100.61118586473964,99.31048005857696,99.30140445269262,100.4950430633011,101.23985081223076,101.22545261986674,100.15161298354197,98.35399496020335,94.7045265944795,90.7117489808876,87.09793815496198,83.93251507673097,81.61061066233003,80.67034567916737,80.59474791262365,80.44740290003496,78.69468934235677,76.08242875606221,72.82892445019968,69.05739746744376,64.78814255712739,60.702342700344126,57.603534360727906,55.09215105961057,53.596085327406406,52.47464988947493,50.70929947629602,47.894621721776936,44.973117944911046,41.06134306565878,37.37899843541559,33.36679064369097,29.535163106139734,26.326219831555935,23.43593569312575,20.890741854212056,18.58651794058891,16.469046235707644,14.842645147331277,13.88531460750513,12.240900915199413,11.780674254280799,11.084346598232985,9.252238817447159,9.701362363391274,12.209545156654057,16.482523973499468,20.950003772383383,24.876766968601,28.313356313769717,31.358849280358736,33.63382522581841,36.10451307327283,38.08392946149826,40.68229823764719,43.565911767026954,47.6329901396288,51.75041974417849,55.56048412331431,58.55208245221849,60.69941485160389,62.21948173580783,62.78650167588435,64.13689550337915,66.63402846915605,70.08031671353267,74.20845199818167,78.0676460065259,81.47519949071999,83.79319118064059,84.76189674576564,85.09190888546723,84.94395249356177,85.017925804572,86.19227541207594,88.35482223122789,91.86164336288911,96.12519419013826,99.99669859461625,102.76604527510237,103.7625319475992,103.93066800819925,102.712214958657,101.71041167355445,101.05370361677251,101.53308542280918,103.82908708078074,107.01958573121034,110.50848646125684,113.18460674779325,114.06720601364891,113.2904253062444,112.09728110885244,109.37722478350105,106.80610795423924,105.35670015661596,104.87314248247446],[102.64417229359132,104.48176286908198,107.23115875777493,108.96494502868285,109.5878489136081,108.82317692957447,106.34111395300013,103.01564502324258,99.37886685390214,96.74778482825111,95.42060753264605,95.39928483816642,96.57024917155631,97.28898122687667,97.22660763542855,96.10549624746936,94.25986825532442,90.54554154256248,86.48935371707711,82.8244148864004,79.63500850802937,77.32565946979709,76.42469708386166,76.39596498218914,76.28579308813524,74.54171985459351,71.93517756781381,68.64098878229477,64.80589675127835,60.46357993618547,56.31865112430612,53.230825979405026,50.806321714470684,49.467579367267575,48.52595217113994,46.912914432132666,44.17277634366441,41.30958420686759,37.29343950934293,33.45990530297132,29.239915989768225,25.24324227044691,22.0923968171416,19.68969331734718,17.867229259955273,16.386347674973404,15.083278904638627,14.109556489882479,13.33772217609913,11.601963427713946,10.942794338930515,10.397883160524266,9.744866911169062,11.723098418703005,15.510640271492848,20.206042330761928,24.634392408570555,28.220689367235764,31.153685644416452,33.670931733291376,35.38169907026847,37.52091552023018,39.332499634547766,41.99562915416612,45.16318701963074,49.50752329915967,53.753042077312486,57.49474606602456,60.264168288052154,62.11290670539545,63.286072575473945,63.477538833897206,64.57520745217037,67.02128768666661,70.46651558141403,74.6080660332222,78.4462373841354,81.79442978165284,83.96767067646415,84.68732500015389,84.75444602197884,84.3481122907071,84.19298664436164,85.23745476078574,87.32828758415428,90.81945640125232,95.0562912251247,98.88473028743795,101.5712860598564,102.40015070699508,102.38080891677853,100.96023356639864,99.7731735777064,98.9618880405348,99.34803802257893,101.60532499468833,104.76362221699338,108.2106926159899,110.80211657416268,111.57596046993939,110.65401106142514,109.32199133782379,106.46004671696299,103.77208027808614,102.26247333509102,101.73292347596886],[100.78410183983098,102.63721065792316,105.32410331262389,106.92652485806794,107.39291614503753,106.4610492228408,103.81554931889265,100.35984023220955,96.63805342245738,94.00582971592256,92.71995090169959,92.73157467251283,93.85545622491277,94.50480482153915,94.29157784609475,93.00728646224776,91.00686551791824,87.16029460914204,83.02252998260391,79.32307735180906,76.18702755069489,73.96382984932129,73.13753784328479,73.11464304942179,72.92378747574352,71.02157230441823,68.28125979529918,64.8132735611888,60.84241997382674,56.466707344181984,52.3665682932947,49.423229356996615,47.21608791743707,46.05155258702383,45.105424110192814,43.386057696524695,40.42719057658041,37.35585793814786,33.098577302035444,29.01640215541508,24.763351137111087,20.99827873142448,18.42480689946285,16.814318869242314,15.886281554904702,14.904929056454566,13.737912117821077,12.79233150576098,11.63338758957867,9.901027432637372,9.561701126502959,10.239312235693044,11.908773267702408,15.318251313709515,19.691865700161742,24.229175190975255,28.3190251833995,31.373506391047034,33.810975417390054,35.8817782784741,37.315991372798436,39.45684843939938,41.4863776689397,44.43353218556775,47.94834275787039,52.44689215586031,56.703272413763806,60.245758090678336,62.69455095234089,64.21844066527632,65.10716034193501,65.08462880037261,66.09237813574619,68.6565646082505,72.1795934375066,76.32599594777888,80.06959275439193,83.27242174127849,85.21410404625384,85.64493907889582,85.44233476271529,84.82786384530351,84.53397462330602,85.57480371610396,87.68833278082464,91.21789894339454,95.40942443450396,99.1427694145572,101.67728207376473,102.27825423473014,102.03037321543168,100.40762397522408,99.06112886939064,98.16595867217822,98.54138069612459,100.82133454603783,103.97019539213831,107.35460733717322,109.8078776755591,110.4139293632059,109.28161797251549,107.76712804289565,104.75770606224665,101.98319036072597,100.48142113022199,99.96526463249724],[100.35499394913789,102.20206588858333,104.80498330820066,106.26680164275585,106.57340436559906,105.47721902103632,102.6811701251962,99.11297770444942,95.32693952087604,92.70209765170199,91.44900602913984,91.46540623131449,92.50106965095638,93.04254791973415,92.65200841348121,91.18551576143,89.02124187593589,85.05574122266579,80.85725368609864,77.14319961300707,74.07432404442129,71.91742663560501,71.11552148949154,71.02936736962738,70.68236818578292,68.56421613053065,65.64760082473958,61.99888707141551,57.91765366835571,53.56085124430894,49.57509575308457,46.80069138659259,44.78483245032862,43.69839124800872,42.59536512489556,40.63032881172514,37.35735655869607,33.99742659710189,29.53301085040403,25.26665578127536,21.176316509091038,17.95230096815239,16.216365920038694,15.324107856341001,15.094477267865438,14.315173358017137,13.004887104076124,11.945666185594007,10.543672273795769,9.418471014670077,10.068277349947426,12.16030792579609,15.373811291620694,19.340124996247845,23.76555892677754,28.01592961419671,31.791006386164444,34.45169187308052,36.58194245388831,38.40336545501941,39.779741601469766,42.04540423089733,44.34544645945835,47.527287198995715,51.24935314141639,55.7719842685207,59.976750067940046,63.34094246484327,65.54632535624017,66.84776810241483,67.57083273892489,67.46430238172044,68.46273702739572,71.14650006203134,74.72592089377031,78.8526196518402,82.4957487793505,85.56255841397095,87.31212336990127,87.52623572270814,87.12752437876888,86.37587161218467,86.00331875586596,87.06753545233728,89.2068165727962,92.75724508043153,96.89084233155353,100.52539362230296,102.92099304415406,103.3323509071766,102.89869295989455,101.12176164375964,99.65796441964889,98.71118447311838,99.08641990660709,101.37566181779631,104.49942018868714,107.81004739408462,110.12930329452357,110.5820914721239,109.26689219771846,107.59304990026857,104.46490121977898,101.6284567133159,100.14343754881662,99.63901309264537],[101.43120538701534,103.22216242254352,105.69592025493435,106.99631013048743,107.1365305929874,105.88212379221365,102.95841639690865,99.30966572332585,95.48805507555802,92.86503453978388,91.60640607314744,91.56143101527623,92.4330249665806,92.80127653477675,92.20213787812267,90.53962171788561,88.21709735956803,84.1764517088527,79.96315235071539,76.2654262490997,73.25906952316767,71.10126853119779,70.21799740399713,69.95364010769602,69.34808944738994,66.95804497240138,63.83156887381074,60.03746193585971,55.92165488667456,51.66900106616449,47.87385225632346,45.24180297447047,43.304409381217745,42.10560599301034,40.631311080727286,38.25264738380873,34.590075716556896,30.896236402768366,26.35171997928784,22.111942447052776,18.514578351940344,16.190339760913876,15.341383338448047,14.707022012577964,14.660839917569763,13.655990020319797,11.952331497527423,10.854185215768098,9.770648276115928,10.203714688450603,12.351709389912507,15.542606745945864,19.424160572486496,23.453692024290177,27.648761724495333,31.57595738563714,35.101531077242775,37.55798114726003,39.61357310174433,41.418334281653735,42.95744642222334,45.44520083150892,48.012220061635986,51.34507783018502,55.12367419587847,59.56833960713364,63.682747809239864,66.92343027390966,68.99345573967975,70.20029993893661,70.88987580718398,70.82519942134272,71.87713984401267,74.64960826604921,78.24694991676091,82.332597430682,85.88780104061101,88.84846869687621,90.46756671176473,90.55398225489675,90.04675261525692,89.23224178470596,88.83577963256823,89.92732724363945,92.07349398579096,95.60946747490429,99.66938614878146,103.20733500912142,105.48677935912085,105.76054270384611,105.19594110080037,103.3207577787452,101.78343078590714,100.80368351095203,101.16482632325999,103.42394500707248,106.48583242556937,109.70083932685083,111.8888022408451,112.20123470403585,110.73866761078926,108.93191856859058,105.72007555576405,102.84579589319317,101.37033063102216,100.8544180078135],[103.32916225683164,104.98592341562151,107.28292140452999,108.41964957565408,108.41479090206394,107.03900869447163,104.03012515332104,100.341853866387,96.49629455449431,93.8188576465568,92.45755127414475,92.23996542184996,92.86404600329601,92.99722545075213,92.20093049873802,90.38350507824399,87.9612847372402,83.92649955146429,79.74776110091967,76.07324048287195,73.05375171441219,70.75226152425462,69.62940701322732,69.06631072700017,68.1433314230173,65.50799768578723,62.21194803362556,58.394582134848754,54.37159009433166,50.27864551633797,46.66117354157582,44.01328836631186,41.91332227940994,40.35195735170301,38.35580111775353,35.51799149582995,31.566363867516884,27.680211851384477,23.326766751999195,19.503041684304723,16.626808971065955,15.152156242000228,14.709026834018289,13.636638457412857,13.25381559099409,11.872216529597688,10.174549184268404,9.890091249563973,10.45670534237141,12.898795866703251,16.230190141980138,19.87722416150559,23.652316742234607,27.390878899471353,31.22521217658751,34.95285054126748,38.42076417010078,40.971412130328446,43.220337763847844,45.229590419793986,47.034726858069526,49.6971539727542,52.36256564018618,55.678589158227425,59.352976784710116,63.683817288686875,67.72594352533652,70.95797312823201,73.04304752816915,74.29421921529865,75.04900700956853,75.06719182343745,76.1499942175699,78.8956550738094,82.43580335561812,86.46299413738281,89.97480401693026,92.89699820972608,94.48129294509586,94.5390624771644,94.00270383834985,93.16274660198224,92.73955434488445,93.79033485930162,95.87132800345029,99.3276157739951,103.30372490785318,106.76601695857042,108.97751956588532,109.18417402160856,108.55121593553908,106.61929418726305,105.02428085336142,103.9782284532234,104.25585404052475,106.4032546341556,109.34461933259803,112.44356358468583,114.51842572095586,114.72056273180002,113.16561769452412,111.2601910475205,107.98694610474413,105.06553439357639,103.54144364425072,102.94522266327654],[105.09646106710026,106.58041156047967,108.68432689079847,109.66565604410508,109.53747368604355,108.06963052470593,105.00112715854196,101.2924873608179,97.41800800140084,94.64301651003207,93.11955375021306,92.67239677376466,93.01975808205911,92.90186585711567,91.93880389902239,90.01649151144386,87.54902415022302,83.57342362909517,79.45093546283789,75.79114035057493,72.69889389323724,70.1728172437998,68.7373179773979,67.83910470270648,66.61058031383241,63.79599645204245,60.40001407953739,56.65917770872485,52.8075358377834,48.87541449144734,45.38592175852805,42.606983892731456,40.20255627561708,38.16464220327353,35.63633964587284,32.41142108899424,28.33975722360823,24.478054240575037,20.58740976389122,17.53940782935129,15.483328404203363,14.665708778793949,14.263422338341286,12.508409866305374,11.693454380860544,10.312166829212323,9.57541658812229,10.98723274682971,13.433477176329472,17.014404608150095,20.83811574058883,24.49750721384511,27.86766764033385,31.226351709751842,34.751031522210816,38.433560714246,41.98247157039565,44.77339994348724,47.289901823826014,49.533093008857556,51.524903486940666,54.23511303534213,56.831735122648276,60.024024355366016,63.541438857372505,67.79313276594739,71.80764091545208,75.10427272671802,77.28013727436146,78.62183148040846,79.44321013260027,79.49312754767044,80.54366480248703,83.17835654065973,86.62197078489218,90.59284496510897,94.09717021347119,97.02822755780602,98.63105986830183,98.69686593168186,98.15098416182042,97.27307601222374,96.78592641999167,97.73129191269607,99.69609980591544,103.03810806399225,106.93144678323456,110.33849197519223,112.5140734284331,112.68722741986771,112.00911812965361,110.02486127228659,108.3596234001092,107.20689491385879,107.34901095596383,109.33994457772555,112.13255522405852,115.11177184505304,117.08889574430242,117.20070703766655,115.58079873062061,113.59362998275682,110.25959675610727,107.27024987532488,105.65268017541206,104.9314259066707],[105.89157027113458,107.21578505360742,109.15031526700551,110.00301230160808,109.77792215168625,108.2413743722487,105.1276107946791,101.40183850718482,97.49186669260489,94.61097648901577,92.92477619653066,92.26374789337315,92.37188263693801,92.04204861862767,90.95801371549834,88.97478827086339,86.4965597053107,82.58938833530814,78.51583286850388,74.85636655276774,71.67212135823657,68.93014006357052,67.21337689502124,66.0376269776531,64.58173299100913,61.6700757550849,58.243091843584644,54.62170537925873,50.94783219442892,47.13548496849977,43.715430863854834,40.77116203823069,38.0598816674383,35.599879414090594,32.67153084217827,29.214610868939697,25.193129891310274,21.54917952590897,18.253177984996054,16.109267070273674,14.769555101014687,14.395520290523168,13.953354374548544,11.81738496023967,11.004972889562412,10.374582136946806,11.256793793099833,13.980953169822483,17.364868867365406,21.247183460872616,25.1092870565776,28.590485159508077,31.576032409579817,34.65483457828271,38.03078390245601,41.78477601081518,45.463102918523376,48.47510859803363,51.17442166581752,53.54577960365169,55.56699354056187,58.20411530006166,60.640560304926005,63.686273716581134,67.08189108043747,71.31448093599388,75.3384886331656,78.70697277546033,80.95708740591017,82.34745247104756,83.17014342971368,83.16542000740887,84.12231059587747,86.6189139788387,89.96268953928167,93.88425866636305,97.38923634514242,100.33595592464441,101.95496164130927,102.00726686098616,101.42522399631292,100.47462058205048,99.88611222641644,100.69783385267166,102.53291962394161,105.7601673701124,109.57804092607894,112.9390323051426,115.08627842056019,115.22267320040089,114.49257257978905,112.44009626276635,110.68687398908196,109.40921098910461,109.40678055592835,111.24389681062898,113.8965710024954,116.76895405366616,118.66069319357193,118.69589641473594,117.01943975737161,114.95804303559154,111.5589322906268,108.49190169524121,106.77172312796489,105.92483578437134],[104.5484851937663,105.71885610607674,107.53161319782912,108.32686660473878,108.08404118789699,106.55354772848641,103.44318886803461,99.71841334807438,95.75582632843444,92.72738493913391,90.84532892420397,89.97455048461019,89.91805967847587,89.46449033427999,88.38294461122095,86.46297089616611,84.07404988784533,80.26962732404621,76.22364966557136,72.51959197726823,69.16262614108689,66.16889400157935,64.2011051593759,62.86229425340067,61.367239349522514,58.56584915570914,55.271851081987876,51.87080080053861,48.374660898437504,44.54528184205765,40.994301293088704,37.724857684118405,34.598247417122046,31.778981896317465,28.777329638139772,25.520371402683107,22.004961304225272,19.045728676276216,16.416572317180044,15.07427581638246,13.77834602347028,13.015220906332743,11.995094407251775,9.603278500173813,9.423744766059045,10.688434874528786,13.715572347500181,17.49364137043764,21.33014581866522,24.998026751380408,28.512156933112557,31.520392786911895,33.94702790864186,36.74174373419009,40.11691240354513,44.132490785912324,48.06353397704185,51.344121224992044,54.1682465059565,56.56500847742793,58.41255015591563,60.78234746184628,62.87198390952328,65.67591517838002,68.9470989633307,73.22631093959939,77.31369263600318,80.78973999348571,83.1215011384524,84.52650562515117,85.2687337185423,85.0814922947598,85.83664826644825,88.10595043347148,91.30695925034455,95.17553135856915,98.70865500674013,101.70047391654766,103.36085442257102,103.39307041198418,102.75110205416487,101.67729951631982,100.91898681566927,101.52023744113261,103.1728319472866,106.25763097997675,110.00922811828164,113.35054985132273,115.5042748069915,115.62972408828682,114.86123215044849,112.72884772886445,110.86335471114221,109.4158124648768,109.22455202707363,110.8831482251483,113.39638046244096,116.18621844591148,118.03399847452161,118.04016159401563,116.35134211080648,114.24975793589292,110.78595042338834,107.61674483673022,105.75203638051045,104.75128312866438],[102.22560013120118,103.28206273012198,105.00391733341596,105.75375776791752,105.49537024494305,103.96661315562382,100.84984674319588,97.11443673610303,93.09688837882604,89.9460691186614,87.91378893633862,86.89431176693128,86.73402231997214,86.21003143698636,85.15222307002146,83.30131032547368,80.9945346613924,77.26381603678628,73.22440644071138,69.4696896037588,65.96672507212196,62.79094871806699,60.66361908513153,59.255477717911354,57.80313200712592,55.1517912731528,52.012373971152826,48.798841547230914,45.424202052265436,41.53386395838954,37.82275675129213,34.27107947440407,30.827752536732643,27.80990290871098,24.9466389809621,22.102221012567078,19.248991040542247,17.11517852001624,15.097394785626793,14.39623108723728,13.050061336357725,11.928385505979604,10.640261268400325,8.959812408309832,10.21197105773139,13.17007417539602,17.26902485387095,21.355454176490188,25.139364826680435,28.404372729622327,31.466747629973508,34.0276949017801,36.07159765414147,38.72344936362135,42.1989075872344,46.45098492710459,50.55257843482118,53.95720444354287,56.75789739931005,59.050681422993904,60.633602060584366,62.70763776250929,64.4770876579731,67.0858822060387,70.3011938687868,74.65220432950123,78.79728467566696,82.32220212821066,84.6514479533313,85.98904876151762,86.58337889618699,86.16770356781937,86.70505150317862,88.77758017746527,91.85497218777051,95.66841333993484,99.20249090034045,102.20293446912834,103.8546573790989,103.8127975274593,103.06599110722048,101.84158881822272,100.9023516919798,101.31017530978853,102.80151539698797,105.76449067619218,109.44899878998615,112.75736669200063,114.89322954186873,114.97385388492337,114.13769064080869,111.90517314239963,109.91853187205587,108.31102669448833,107.95669067958438,109.46923561516712,111.8677972238622,114.58476330615842,116.38258547492497,116.34958032977654,114.62796384044137,112.47551803470382,108.94064506426206,105.6738052749369,103.68877884849502,102.5646053012252],[98.68620120233605,99.68702302736503,101.36190361442304,102.07900950326523,101.80079408821246,100.25770858614979,97.11095640573046,93.33870423865288,89.25617864757479,86.01774446422496,83.90309929150573,82.82479678415534,82.64544468548826,82.12237337719625,81.10346257146382,79.31011705968567,77.05511988582158,73.33647457251254,69.25950412365889,65.43855598432026,61.827820699123656,58.574046226036565,56.42888433976856,55.08798251776747,53.78043325091214,51.30095703718258,48.31149874405722,45.19346689742812,41.82354011046471,37.789496778524715,33.86072672427957,30.098726430190656,26.516433349290445,23.592621155669075,21.201130948755452,19.03269143433623,16.909444561923973,15.578744630080696,13.864218273532352,13.425157538538588,11.857545310420551,10.506501934627625,9.555228127605085,9.80669266060596,12.711414593249062,16.66524397896961,21.093940685848803,25.075061100187632,28.46881304489825,31.176783983088498,33.68617604898791,35.82724301832175,37.68428636760473,40.36424889544333,44.06682594052515,48.53653936908664,52.72400859927147,56.09662015263447,58.713902321631394,60.76147910430225,61.98210910328921,63.734691413976236,65.22530613210974,67.70497099163453,70.95458183990851,75.41247141824083,79.61067212136703,83.11369072799361,85.34044233061981,86.5144386474615,86.88239035227667,86.18667233583385,86.49273886928809,88.41369127328079,91.39919106012178,95.16247497648324,98.66760661336974,101.63250686717474,103.2115318271367,103.02629188821,102.11727656617143,100.7070296537329,99.57424852523022,99.81399017744617,101.17652584381044,104.05080275434771,107.67186963492863,110.93246290302683,113.01806485434417,113.00706205013127,112.06180509275306,109.6997698258124,107.57773889213946,105.82294687222728,105.34164639080605,106.75639001231262,109.07771358877558,111.73721860519748,113.47603259996723,113.38654612672242,111.59924719732997,109.37610126383385,105.75516636084144,102.39359978163954,100.3219596457226,99.11841951296029],[94.57364278438425,95.58727630720037,97.24781689909697,97.91720815998187,97.57932178741426,95.96822267624917,92.73818692177909,88.88299882861403,84.72385731185601,81.45598204343311,79.35904438095936,78.33383256864808,78.20510254914895,77.72936846744982,76.70615045062998,74.89318962943317,72.59942361990096,68.7886200115039,64.61384771947081,60.717094108225766,57.083399756127854,53.90552341210556,51.916392668405535,50.762819116033896,49.62873142732505,47.233275096683265,44.295086375025946,41.0837349124347,37.538952442388435,33.281578627380945,29.13482448481526,25.347135986867052,21.97385199635749,19.578093003561126,17.93400528116231,16.510544118686184,14.87040488862045,14.03348242657658,12.21445009952714,11.637471865525724,10.006691572393425,9.152962715349688,9.766358883555105,12.450046114559782,16.489303949819856,20.722047485467257,24.911346855679586,28.469013684028706,31.230836403768716,33.340652519864726,35.30545574819258,37.16397207905707,39.13318822144075,42.04650661544201,46.066185059972334,50.6721808289766,54.82006436978259,57.97732072617154,60.26101507166459,61.94540814806704,62.76722814553665,64.24314422402718,65.57681057112904,68.04512754224892,71.43620645592287,76.01690172091435,80.24522598828284,83.63622306672609,85.64684832623199,86.562085264538,86.64507370694744,85.65951318860239,85.76233667924745,87.62178471013003,90.57119316697501,94.29318403489299,97.72618307862456,100.59388083121638,102.01861989741629,101.61322843873918,100.48394043513308,98.86679833737985,97.55091342299987,97.6820532769949,98.97511370708024,101.81063207818072,105.36914511723899,108.55460475913233,110.5388608669869,110.37104930496582,109.26163507866754,106.73808187833215,104.47062873885876,102.59971831074458,102.05148184460295,103.43568817645722,105.72456700966669,108.33483292531284,109.98685788617986,109.80077842775958,107.88853287525643,105.55527924395925,101.82693001399254,98.3815377328136,96.27982716873386,95.06141279743414],[91.3765292284701,92.39508240794997,94.0157656389944,94.60576606000886,94.17694265310607,92.4713224430647,89.14333117851471,85.20287930851651,80.97869571094164,77.69980071029939,75.63514396235736,74.65981003915454,74.54819042294066,74.08208901636237,73.00486848812902,71.12424395480592,68.75579507716188,64.84795923495903,60.589489607531604,56.637774990361194,53.017114168891254,49.936387824828564,48.10012335769934,47.09517303466224,46.067091924305736,43.68629954714042,40.74935492694112,37.412779816223654,33.69219447148432,29.26130958148271,24.971114800223667,21.25370196820011,18.243705816775,16.527643411945075,15.653399313300815,14.940066474845194,13.775235365000785,13.42660566169596,11.727616668997948,11.283024921935171,10.198013089782501,10.418888793894997,12.371791724841971,16.174184422993456,20.576296629056905,24.785811470976014,28.69031789745138,31.89233432810225,34.17437011420212,35.87663081660977,37.46581745334055,39.15990772661435,41.28004488468738,44.38658138116527,48.61657576272242,53.26151986162273,57.321168205453525,60.259908623113745,62.25175598446642,63.62900406840569,64.14417444388576,65.42103291207405,66.66680928010818,69.14800652543965,72.66012041104023,77.31627998332755,81.54184539732285,84.80714715125578,86.60764885596,87.28807649799197,87.12756973499181,85.9117909212699,85.85712705161295,87.68194292311901,90.60235918085664,94.27570729456525,97.62132140634647,100.3792826339286,101.64382941372746,101.02874654690775,99.69615790132612,97.89812491974297,96.42988259620721,96.4806022934743,97.71993821288042,100.51920563959624,104.00447698371784,107.09944158365798,108.9681814660298,108.6384172129516,107.36483105563013,104.69056413373637,102.29166042652025,100.32360470619419,99.72312420747295,101.07942941838523,103.32859717862866,105.87390329371736,107.41978853319283,107.11987917628787,105.07077944476019,102.61816671685068,98.78792039671295,95.27281244261337,93.15896228021418,91.93594124003329],[89.71753208690981,90.77835665915362,92.34138289366932,92.79343333546556,92.19769208506403,90.31766704560431,86.83832492107797,82.78629701867813,78.52636911223735,75.33221107271741,73.4089728367932,72.55050194425914,72.42801115542436,71.91634100845957,70.6472215839488,68.54321884345477,65.95775476434024,61.86520626544915,57.52305795173132,53.58106577415034,50.148879290862425,47.33483641284232,45.73587173190068,44.81621091988205,43.68341792131983,41.01956736966451,37.824464194483326,34.107867609010725,30.0721603362008,25.583170036943528,21.485957226129084,18.35541463511708,16.317276426459884,15.52155647400764,14.909295272670734,14.104253180643438,12.514614482591478,11.84224360589723,10.011800077383796,9.76603592756586,10.18530192680519,12.386399627926071,15.75762962501028,20.084329337648636,24.522904564907154,28.36128926673655,31.703328031814458,34.429950740481104,36.22412742490128,37.72482409994238,39.201056637391595,41.037705725517164,43.61248792478027,47.0393436472274,51.44427048537278,56.00533451085931,59.8801358668547,62.51494542002336,64.2060757191759,65.30925431879555,65.65844235458452,66.9203361271687,68.29388748707153,70.92992712821875,74.61690989749769,79.3092971699457,83.49450076655674,86.58682371262752,88.14597980228737,88.59506101644027,88.24342311625738,86.90641740155246,86.80804024984562,88.71860487675927,91.67782940672537,95.31964357244995,98.55317825488778,101.16651675475038,102.23475425830955,101.40103653821475,99.87405517782598,97.93911534477671,96.39248037599867,96.4630986713148,97.72759011257908,100.54353903432937,103.95913191581468,106.94174549988124,108.6590593710044,108.13576684135722,106.67771155712853,103.86179806969271,101.3609622924864,99.36299319037641,98.78921613991619,100.17921412593742,102.41780359542823,104.88887966061766,106.2933467371526,105.8385109986412,103.60642124149639,101.00446662594115,97.07741460728278,93.5357871494237,91.49021944879827,90.33460065737087],[89.10826805761046,90.14532754490783,91.58463237025276,91.86255060983162,91.08145876458755,89.02480687711599,85.41161852261408,81.28104554123084,77.01608160475007,73.89718856003054,72.06561790747311,71.23712356788674,70.99989171670131,70.3533053486712,68.84881604668753,66.50575330201741,63.71507849926681,59.50417789239837,55.15040569259396,51.27397466707087,48.042043609250285,45.42191039079925,43.924623961532454,42.937091629157074,41.566212073820495,38.56079286042339,35.08587388963856,31.060790259383683,26.84821441687117,22.497719448210695,18.856149199464394,16.471751317585355,15.395224997293713,15.230618660572791,14.560115168545181,13.550374473317383,11.716029664354856,11.04774941240988,9.904098979962711,10.595652109768722,12.617070535681707,15.959313954684301,19.81940327013182,24.118227060618484,28.39801080069822,31.922568631578425,34.895826674966244,37.348470030614855,38.910596849186604,40.407565199010335,41.926293883908194,43.938564155795795,46.82601033603225,50.424761197250284,54.87802297905564,59.33655454938003,63.06553820109043,65.49897269920956,67.01112007411228,67.95947675003862,68.24503154585351,69.53263134591887,71.01788446052745,73.75485584315986,77.5326497616007,82.21435222354602,86.34600002231866,89.30688976474896,90.69177232213217,90.98153836643819,90.50555150245827,89.10082656665283,88.97566760981552,90.93255679444093,93.89353132646134,97.4841093076821,100.61271204649665,103.1014814712536,104.01111751622626,103.00787289174292,101.33101543125721,99.29063478529095,97.6805169625217,97.75015954410861,99.00611732141746,101.79692623592226,105.11890310739764,107.98096922904209,109.55586411835351,108.86535231538838,107.24860953491672,104.31611949911978,101.72793155588471,99.69354174401069,99.11338954000627,100.48354351096036,102.66015561866301,105.02152595395845,106.27009826699584,105.65708990748396,103.2604206686818,100.51867837392125,96.51571470029168,92.95854477009897,90.96287886441397,89.83930364592817],[90.02884598204407,90.92097864739684,92.12394804433825,92.16476437955953,91.16904615479372,88.93735352416877,85.22450981999572,81.07305667132567,76.84724968269755,73.76323983537537,71.9082426498869,70.93746768678072,70.39801415931113,69.45461817258854,67.64550512418592,65.0474875131888,62.08411787322435,57.88538792640402,53.648107403208215,49.91504173526571,46.851469383684886,44.23169312962195,42.53989318787899,41.1747501485848,39.30522881218003,35.84088769867093,32.03154204027251,27.857114581392583,23.7702892240203,19.93165648788977,17.151329547711107,15.488960822395443,14.920208971659502,14.64271689071849,13.249004036440546,11.661457371932938,9.857539429588023,9.87956774993612,10.67323215927879,13.082233839422589,16.419785189220807,20.324632173693555,24.159861053560945,28.034737448783822,31.982616378698452,35.25033401624923,38.08518378046113,40.53946040057544,42.235105811451575,44.02928652700302,45.83106692422212,48.08919719183318,51.12245588653987,54.72591015232243,59.08623651666493,63.43636326022831,67.08992076496959,69.48157916906375,71.00041156545025,71.97587215375532,72.35391546133546,73.73458223158377,75.30980887399866,78.07711499510764,81.83317080737984,86.44987338228663,90.51929265547608,93.41908792463764,94.73618817743541,94.98080799630192,94.48469038606578,93.09317919995048,92.96668732840863,94.91054152426193,97.82178376136275,101.33888139136369,104.38232971736753,106.78462014832068,107.59970060114567,106.50549367083536,104.74924888707476,102.65030673100338,100.99681964444038,101.02873311732026,102.22052278914298,104.9214141888393,108.1171447495884,110.85175126501639,112.30416451426775,111.49467344558234,109.76598740186917,106.75850371244645,104.10509137683694,102.01558538984538,101.36771763723377,102.62340535814174,104.6514807532693,106.84542556058548,107.91790990246656,107.1433670922538,104.61477151221176,101.7508023955539,97.70204912052213,94.1371040687331,92.14480380601937,90.97909682730038],[90.61902536316313,91.32219593997802,92.28045784775259,92.11141270290248,90.94582071496887,88.59358564505017,84.82500006704231,80.68481636399638,76.49027247307339,73.37396159327281,71.4052884866805,70.21449142599145,69.34621808723506,68.10102044856109,66.05455810327312,63.29592066327837,60.25839790882869,56.160018319339024,52.07046887392775,48.46527775628111,45.46144936577713,42.70037659602227,40.69239609716602,38.90076723277848,36.5689402514699,32.77537755175301,28.76582688436403,24.658003795437885,20.92400481598213,17.710803765912296,15.793272346592216,14.622846283993884,14.25747156118186,13.728603367024851,11.836972406708618,10.28239333301075,9.614493971273863,11.119802715429815,13.647810169061488,17.0181887461839,20.71985162722045,24.598335901055297,28.17938966784621,31.700751535029056,35.41630038718821,38.62583486081902,41.5460546925053,44.14459731416121,46.06825618503698,48.102198735006304,50.08831428811738,52.434971725037855,55.41922782521155,58.92837951868822,63.18513339703995,67.49365189371787,71.14476556805057,73.58307204079891,75.1619189240208,76.19365326180157,76.62646654186963,78.01992854753976,79.56805172660039,82.27890887772867,85.96227958341619,90.52340342958325,94.55232985249448,97.43816648388447,98.73893606910069,98.97144876452259,98.45753335585447,97.04330119497358,96.86594684465523,98.72394273835685,101.54339387077405,104.97923168342909,107.96353559425378,110.31549120302908,111.08083944395541,109.92993397163336,108.11507085752133,105.9505428713523,104.22241368228676,104.15552997319297,105.23138425542716,107.80351731330771,110.87119508262148,113.49681048083558,114.85992834443675,113.96903053437478,112.15818076626354,109.0852754197522,106.35877062853677,104.17422770615929,103.40234001749864,104.4916012456542,106.34130881351717,108.3670475534489,109.28780256703455,108.38471014063717,105.76641324142837,102.80928112306634,98.72022491733816,95.1230724794097,93.07614564662927,91.81180941431394],[90.57619742549224,91.06061692425146,91.79360997480511,91.47209247935763,90.21204094514195,87.81913407586924,84.05373136051608,79.9579910645871,75.7774732455562,72.54895736472717,70.36976347140897,68.88962279471636,67.69996353417889,66.18309712632464,64.01418205078723,61.23448607457701,58.25769614968098,54.35352964749775,50.42562298553505,46.897801897058564,43.795720938190804,40.72248655098801,38.269691076559965,36.02850319621838,33.339032158749696,29.435396750929822,25.450084480985932,21.731533818149128,18.625019073338464,16.015856554574427,14.701191267286383,13.543932429327171,12.891559198720431,11.895646635216409,9.854910944241627,9.256851598758637,10.766021792983722,13.819911600523232,17.334312008449437,21.129581290032593,24.685571274522577,28.196466273131072,31.36213380869164,34.58908058114373,38.16560603294684,41.49629900893282,44.696636544789214,47.56127034046978,49.77740626647679,51.975446332359134,54.04340549854978,56.33156851500857,59.09438154004617,62.42300489249602,66.56965112834948,70.90350397172034,74.61992618565603,77.18516816597304,78.86945424223617,79.97892929016122,80.42068356483253,81.74406761681367,83.15189915870549,85.72465738414593,89.28822998207178,93.80408184637977,97.81445612407084,100.73345256773568,102.07008648742067,102.32421137645537,101.7960983568607,100.32424174682518,100.04948270826993,101.75351882162126,104.44442447478937,107.79502655354185,110.74948616256151,113.09061526389796,113.85665661158852,112.68931533693996,110.84273842123478,108.61166367582739,106.78348650595828,106.56424303179942,107.47983331761836,109.89339626712496,112.84123327618381,115.38733349717805,116.7057651534288,115.78341878591779,113.93381550128353,110.81453192030887,108.01480136244405,105.7019251737586,104.75854535833867,105.64309122388121,107.30070394943576,109.17641665599109,109.99084515727314,109.01254497502264,106.36437403210151,103.36014347290943,99.24211522797003,95.58765021044252,93.42515975806589,92.0084871639555],[89.71130157420878,89.99348560976642,90.54094075684232,90.11526665285255,88.81077782155373,86.42284588802477,82.68916373555749,78.64623322352432,74.46887517448697,71.11043149333645,68.7120157885699,66.95945775447895,65.50800186294872,63.78342341240844,61.57387806776251,58.85463471820266,56.004416002875445,52.31330843698593,48.53064481075765,45.05120133107826,41.798583921799754,38.39373688842355,35.51640388229021,32.90115073109059,29.993145573628734,26.16471819412568,22.391195842653914,19.2669249630927,16.931562587701904,14.891400789352211,14.034412176363267,12.806559135107568,11.85483357439982,10.644426347611128,9.235733170300218,10.357342712241152,13.58834164040764,17.426145601015687,21.229580083730433,25.070152633193608,28.313127187583614,31.396042131254006,34.177241738654004,37.22714229026197,40.74461251766915,44.244394003288434,47.72292260840391,50.805694579899274,53.219996391485644,55.45904817385759,57.499704930576314,59.65203834139564,62.16561291475162,65.3148708119346,69.37827102881414,73.75542805084493,77.53948079085522,80.21393633203672,81.96471117392917,83.10627787453818,83.49316692664429,84.6922059911442,85.91619356540988,88.3306287312571,91.77556455361271,96.25480379333361,100.25056671174819,103.19745814701434,104.55898500597011,104.81551715513635,104.2453034156618,102.68101550049043,102.2821221947566,103.81310799192096,106.36584864171806,109.62722963013577,112.55418857071793,114.88749815173027,115.65869064773946,114.47337600923964,112.59032834045021,110.2821510592382,108.3392544154475,107.95255299807951,108.69991215980467,110.95387883324206,113.79051884441883,116.26978223720607,117.55877642138942,116.61762641459849,114.73909736185702,111.57488777540885,108.69997488158766,106.25155348366708,105.13203866922133,105.81712956764615,107.29598668899528,109.0432206730178,109.77840438013793,108.75410597395363,106.10135080290281,103.07212837471783,98.9288549675392,95.21022924826,92.92042046897312,91.34907358109257],[87.61037858446862,87.72570047972579,88.15087183945326,87.6864372159931,86.39982434563832,84.06654567421629,80.3849169702696,76.38726558968078,72.18040315792241,68.65978425510339,66.03563987143218,64.0500231160094,62.43606226721131,60.608610739758745,58.471240093002336,55.914894130431364,53.26223291091991,49.76850642511096,46.06346887967415,42.55136821844583,39.05593086869882,35.29330903141281,32.04741003118836,29.217106273199256,26.355290924218224,22.905450844426646,19.630047021319424,17.293467778481908,15.72147281522502,13.979792125767739,13.209533369707724,11.737228856565588,10.5905429467555,9.740786862158478,10.102872264980782,13.078667338395757,17.308340371637033,21.488170196287502,25.146595442709007,28.740624666420317,31.489101643363895,34.05348006259981,36.47744249161604,39.50538742280567,43.08092537766805,46.82348921827207,50.585261420332515,53.82952106429359,56.32347747403741,58.449735246821476,60.319683860717014,62.23090037009166,64.45777295495913,67.43452925559163,71.45708846024239,75.90545301027574,79.75714313378738,82.5113531398397,84.26882770035594,85.37368174095687,85.61494606581189,86.61289220530666,87.5940772081825,89.82459229272112,93.16144523160665,97.62153038858614,101.60981414119313,104.57311241613127,105.9362865013293,106.1596302501413,105.50133377397898,103.78915620487797,103.22510094587967,104.562692920407,106.9683424424382,110.13801219865545,113.03740451489726,115.3621013179266,116.13445521677566,114.91646734736332,112.9789638454034,110.57091675259174,108.48712496565766,107.91322698926795,108.48479902087145,110.58195278389186,113.31923461404817,115.74623576352202,117.01957642808253,116.06550436949976,114.16024670945816,110.94269522669589,107.98227195456,105.38595886000232,104.0862484382395,104.58600399629299,105.91143883001705,107.56281734924617,108.25183178382659,107.21368448590823,104.57715302005604,101.54183381235782,97.36803028691766,93.56779666096793,91.13469620439373,89.40847414217751],[83.69566475873548,83.71802420039612,84.10915043651792,83.6727637822241,82.4529893717327,80.20315585077334,76.57524600623672,72.60084559829379,68.34129867216856,64.67800596998805,61.88940671756285,59.78438793027185,58.1709074824727,56.39619054066017,54.4371257622915,52.104853887806165,49.665559943881036,46.28547420563434,42.560913947631576,38.94102088102552,35.16921271873094,31.128314382566796,27.720106126155915,24.992586646213148,22.567802121569642,19.805176412365388,17.27198993021672,15.67905378289692,14.584169378168522,12.806525304631748,11.781575751375586,10.24527847452244,9.497256647297938,10.075999205875874,12.65036835897532,16.76445701253865,21.237278520666173,25.33975816129003,28.515884065692095,31.61327402086616,33.78805041481824,35.858220516087776,38.04839887236863,41.243278548927016,44.98851612540882,48.96856651027705,52.903040162303526,56.16159284745281,58.54346168005317,60.38272954963074,61.93729170587137,63.535551740765605,65.50499462850189,68.35613020172428,72.38771837287294,76.89602563490061,80.76500768306832,83.50253800527025,85.1546403681864,86.11401721838222,86.11165864481725,86.84806843735177,87.56845205543418,89.6230665520699,92.88481597246806,97.33544132927926,101.3037325182858,104.23177932085301,105.52683454930528,105.64799503720847,104.83881320380314,102.93135628949852,102.17788612640626,103.33013347423788,105.5943295100532,108.6657161560826,111.51558596707336,113.80278842587235,114.5399081174011,113.24945510748309,111.22466151800425,108.69535433004764,106.45998523974366,105.70889932480564,106.1218846002654,108.08281178412639,110.72883690977012,113.103853036243,114.35338472884976,113.3705866850479,111.42609585514744,108.14633091518094,105.09887438762287,102.3678532060832,100.91775421447826,101.2755601298665,102.49177613729685,104.08329072938878,104.7501776755251,103.71461767038753,101.0953317936344,98.06256186209514,93.85533868858445,89.9772831720673,87.42371622320299,85.58180692362092],[79.49026895968314,79.48287986166564,79.8763916656811,79.46473373366773,78.28593814713552,76.07924822113442,72.46135213098778,68.46771158717287,64.14055631412648,60.38198679838522,57.517480630644826,55.39942655371078,53.86982397202632,52.21405878002329,50.41355695023397,48.24640816391016,45.94199537205674,42.566719348059486,38.75085481956115,34.995919647232505,31.010771601267017,26.84265783506661,23.49670213006467,21.120521208516184,19.34843196587761,17.350088648909374,15.59919975756775,14.542321652089122,13.678878916142008,11.83941658354248,10.73367969305781,9.77618943936611,10.254408365363298,12.44652328543089,16.24768091273105,20.70467034913835,25.011346138626358,28.84278604260817,31.50155737147895,34.092501804906135,35.829082937765364,37.5855087434792,39.71440382451897,43.163189393975024,47.09846900217022,51.22602385452421,55.18810126799169,58.340468725720385,60.49420569852908,61.99965274286758,63.216898634172814,64.5384454706504,66.35778820815945,69.16237648429751,73.24315084655115,77.78090620626237,81.61547058344625,84.25366182261946,85.72827647328727,86.48248481641471,86.21292480138776,86.7021342666713,87.2152317323968,89.14832164072192,92.38775569274736,96.83905057461625,100.77808522461365,103.62649118800493,104.79751172686356,104.76795735633348,103.77658573999757,101.66701967146193,100.73840086773077,101.75432259132361,103.91030403170113,106.892263197889,109.671107315446,111.88914902815367,112.54671613135952,111.14166236033188,108.99823761456311,106.33695314847785,103.95882030568394,103.06948222464747,103.36432546339023,105.22550411538963,107.78688159935919,110.09763918088791,111.29505928793395,110.2451186013468,108.22783135458161,104.8664752664972,101.72757626617573,98.8862513359357,97.33171012464405,97.60018336329188,98.74590545023828,100.29101407845323,100.92187301864593,99.86466065365578,97.2221069908987,94.16509472577444,89.90896171046384,85.96164352363114,83.33264566747604,81.42723537360321],[75.05480410403605,75.11173339706343,75.53638775897448,75.10198520260859,73.87740957553535,71.6087491823064,67.90722896663955,63.820605914857495,59.418160537589785,55.67224234487935,52.90798865108536,50.96042762298395,49.60893936082812,48.12558092946534,46.36133600190602,44.170810174313246,41.79375100561281,38.206983488096846,34.16929065392146,30.247011807715015,26.206484652634714,22.230146450300552,19.3873167491953,17.736559011418233,16.74487142366315,15.267669935474368,14.003186177559739,12.893532273017133,11.788322642198631,9.97004600661745,9.33321078551814,10.089481500445663,12.481800992664638,16.024869786331728,20.27547369454942,24.57033187417073,28.37479019659249,31.743552043153723,33.857767754390665,35.95894925740192,37.47325103237604,39.20665297438387,41.54257184913914,45.36661999096373,49.52273397788577,53.67426602791497,57.466435658394076,60.35556255083766,62.13510433597237,63.269572460842355,64.14484514978176,65.26941295912849,67.11716356060933,70.00299820283155,74.19295108241745,78.713320525135,82.43433420302591,84.85400281575622,86.05072812419057,86.5201777061907,85.96701811043283,86.2520466959183,86.66043789677315,88.56879235534753,91.87252123020536,96.33842267287945,100.23082569967318,102.92806924774872,103.88504544323088,103.63167891210213,102.41777769053613,100.10992520034155,99.04093273700796,100.00949578982642,102.11568092836194,105.0203529760177,107.68636716365799,109.77706033657756,110.27458776152493,108.68123506295684,106.36450075002755,103.5558750752547,101.05623523012028,100.10253953604759,100.35109675677286,102.17203499131944,104.6486794533227,106.85996176562445,107.94152971960311,106.74797218762151,104.59333970898304,101.11793394642322,97.88393478859584,94.9816707586695,93.4057047386,93.67122222714455,94.80041932804373,96.30024292966432,96.84715264184818,95.70286200653386,92.95018020728828,89.80684993363705,85.47539664768155,81.48451099833451,78.87240608138227,77.00262191550058],[71.84314505174453,71.97213634153337,72.39546348122953,71.88507186804462,70.55484152276208,68.16493365434073,64.34269464359548,60.146687290313984,55.69081157114195,52.02277884549628,49.43399381064562,47.69805981865338,46.486974226072014,45.11964135761966,43.27563138741698,40.937350062391786,38.37651097029678,34.51839676271173,30.263337419341752,26.2226834681177,22.298266108318074,18.76921746351388,16.68520683357053,15.84268857854653,15.478064793766626,14.263081331479306,13.28140210727572,11.957116883246908,10.667913891183922,9.363740843246195,9.804828661500505,12.190301315178186,15.743434001754649,19.830966673936224,24.05405953363132,28.047032651361793,31.39214097958304,34.365777220919924,36.11393866842695,37.89149329745578,39.361523664339565,41.21031625187409,43.79194666034897,47.895220052838724,52.1887201373559,56.28895209446098,59.87554403045401,62.51402091933971,63.96871380816701,64.8294605436387,65.46451751604671,66.48734037070301,68.43501275712337,71.42792449564746,75.70961770507894,80.18739909604442,83.78735148458965,85.9949118905762,86.94485468890056,87.16978622522468,86.4000042833844,86.55130013104558,86.9251734205227,88.85197731757165,92.23164593436839,96.70388785087022,100.54587513218499,103.09473061126802,103.8494781272927,103.39219248176319,101.9879738362607,99.52707371359375,98.3601094010485,99.3223992470638,101.40361336136849,104.24202730983664,106.79369331153077,108.7528854363992,109.08576013030455,107.30951001481073,104.82880774899598,101.89273829791986,99.30037136013739,98.31714778975707,98.54634888296876,100.34354430368117,102.73489857558413,104.83673715478947,105.78752988501103,104.43694724106048,102.13456063999574,98.54558720996283,95.22457488916208,92.28499737266307,90.71638297062391,90.99822641639676,92.11297643401845,93.5515967005012,93.98593222091114,92.72545693396769,89.8333655698979,86.58094272059613,82.176035824018,78.16392854722149,75.61083405342605,73.81100151356883],[70.0574185388719,70.21473398750364,70.52355967611888,69.81514157603564,68.26133738776868,65.65324562633208,61.67534180633256,57.3904922502146,52.97157540293299,49.505499028853855,47.182801830541855,45.64197455250585,44.40395915044768,42.967956977437154,40.80921400163487,38.1001579930863,35.183521718579684,31.0307378478769,26.674970443076376,22.72475445214678,19.319018555905295,16.59556624241453,15.359485194332471,14.995808796460429,14.639370578373628,13.111819169752385,12.024281700794054,10.410307259496781,9.355653420075498,9.643319829223001,11.873971471527407,15.523740268912997,19.676847532745068,23.822761997661082,27.675034617413836,31.23134430247709,34.16393787029019,36.8286562670703,38.455781936897566,40.15386956188413,41.83076121929184,43.97577037944738,46.837591215209244,51.08882151606202,55.41509307872073,59.38185067399538,62.73509574598101,65.15243825494656,66.36955582734875,67.10187988269814,67.64602247434286,68.69710510860382,70.81688556731116,73.92748081791349,78.26274422213861,82.66560082672277,86.13844893159174,88.15138617812121,88.90604235052324,88.95007605090639,88.05951006822302,88.16717484806318,88.58487730999182,90.56690933228087,94.01547772727997,98.46902356994627,102.24664732470191,104.65063744275824,105.21789177513294,104.58616605060797,103.03656018974515,100.48559389009257,99.27030308125877,100.25496494492994,102.32006648489678,105.08559760463369,107.50852854622156,109.32412554570999,109.48341589520663,107.53041030837954,104.89775788526849,101.85903593889016,99.2075467482128,98.22580104326181,98.44798271300931,100.21278355390633,102.48802591670439,104.44406892196663,105.22896026415947,103.6987917298271,101.23188142240386,97.5362932915446,94.14346791859205,91.19554462509608,89.65488274848057,89.94064078535587,91.00009415800369,92.3136656346111,92.56585149266216,91.12872962861097,88.05682624842764,84.66226881285743,80.20589352239845,76.2279986298496,73.7989567641018,72.10413510280569],[69.40963221781344,69.48127380153477,69.54241880824213,68.54075510534885,66.69893456357256,63.84445650175747,59.73561689440083,55.43392025558182,51.145895913561304,47.91250300259695,45.80271251233911,44.30670701011504,42.81761264824199,41.10500075008519,38.48899402916497,35.321383667269245,32.025518443011194,27.732780736960716,23.53236021027119,19.98285074400529,17.419175624434036,15.586620933727467,14.902978737764247,14.510558931591701,13.70075425316641,11.7123362281366,10.700425080181425,9.498717909883998,9.785710881155676,12.178558217539923,15.726003275370108,19.869037230421558,24.097715188775364,28.00790537738765,31.419875380264546,34.610254250474064,37.326431614268586,39.864170934236924,41.6048943019653,43.428682436810774,45.39956382001512,47.82753666524222,50.86105685959989,55.106185947869086,59.37402190301815,63.20318022691727,66.3909221469086,68.68485984368657,69.8046622246626,70.54290142845903,71.11310390114686,72.24836272481527,74.49776450187606,77.66684825921845,81.99629002193619,86.31953108978497,89.6940146636908,91.58161656330711,92.22506188054427,92.1731613284822,91.24111810186508,91.34719060940422,91.81045604915457,93.82059544719239,97.28412637546745,101.6886946568658,105.39302021476156,107.68117299035883,108.10583477765482,107.35062926717005,105.7048359114722,103.10639547280145,101.85700072092078,102.83172327555666,104.84680033855336,107.51498603938762,109.80596201603952,111.48519912033673,111.49227433818251,109.3946609762842,106.6408600636947,103.521192934469,100.8198003088047,99.81551126090706,99.99017132167741,101.66940563337022,103.7858854215886,105.56787152401247,106.17694942110649,104.47889391464861,101.86285387382978,98.08274022432117,94.63091037326721,91.66641452219989,90.11230811943601,90.32493780169038,91.24588231463426,92.36235359643877,92.38487392623534,90.74333835293392,87.49948372584801,83.96419595774692,79.49062115578657,75.57766355904683,73.26445712159884,71.63400583356682],[68.78848347876327,68.62748255125157,68.34329449289646,67.03386505203196,64.94147721885417,61.919849654113804,57.775080793919116,53.561060988098426,49.44667750599696,46.326461778977674,44.20592326873998,42.49865176440273,40.557772309392575,38.42160438151114,35.38880091996825,31.89771595280361,28.425601200818136,24.32453170567708,20.57921962110814,17.645906010671148,15.802818647487907,14.412206390760144,13.720116606050851,12.956359068969862,11.717833533929493,9.969760722169823,10.076656471766384,10.694236050767332,12.839420431377466,16.38460010120217,20.331320898544675,24.374622135550993,28.337632372727214,31.93628261783907,35.11719955035017,38.23246005981638,41.053723834187856,43.706075157572705,45.69169057006073,47.722331257913225,49.859109721911516,52.36086197873612,55.3564280490919,59.48400552483501,63.65730920542667,67.43456810937165,70.61319603081631,72.92333106652505,74.09264600755758,74.89965919163276,75.52253966467975,76.6851562295083,78.9071709594207,82.01989922499389,86.28214459349414,90.552018734458,93.88183452965315,95.74208501576479,96.36196008976269,96.28781062388373,95.3376203934994,95.4066644178836,95.8228107771479,97.76819124144757,101.16212358888183,105.4918044441386,109.12223638864965,111.3412861196776,111.6865091998269,110.86513116563083,109.15770445596863,106.51147151700799,105.19319653192801,106.06602368690871,107.96162915165053,110.49897705317412,112.67119173267758,114.24431685621356,114.15216541690533,111.96333833805636,109.13025338561576,105.93964838037834,103.16521404975472,102.05861035367224,102.09988533779465,103.60971624033056,105.53041803134172,107.13482776970488,107.59696104791499,105.7832552157027,103.06734915542427,99.23438772122405,95.72766674966846,92.69257426052634,91.02482216054304,91.04347887539792,91.72991633996567,92.6007216468831,92.39777056558738,90.58131327467474,87.23454460608251,83.60754003434775,79.14911338241936,75.28005915962642,72.97977148412508,71.29264337634766],[68.02149861158927,67.59497783164117,66.96810684638601,65.38702103583059,63.09905910896694,59.97669361875644,55.85565708875534,51.780215945399725,47.85052332684577,44.787026738616554,42.56827411033266,40.574227064154876,38.154158933767505,35.58091292879,32.20099917718737,28.502604186361065,25.00615246997816,21.320303626920378,18.247275575965283,16.102007997430988,14.948908370190697,13.885493280474787,13.070665548559777,11.97010653187042,10.622302387010707,9.89007888171598,11.505291865581407,13.729889938613137,16.882067190388874,20.81053283368542,24.79037837165296,28.61542182062419,32.29274033262736,35.642147998786214,38.724024155714986,41.87687649673697,44.873697084655504,47.677458900026004,49.86254683966168,52.0458408695764,54.23843636350157,56.70565310255899,59.595124449840135,63.59899377309675,67.68715356765989,71.45336285758849,74.67382718524975,77.03373960556209,78.2757280738731,79.13382824714863,79.7827656332939,80.92582625841962,83.05793167857784,86.07717685904885,90.26039547042541,94.49232114317256,97.79747653501057,99.66105249199565,100.27955010939833,100.19813409077352,99.22239982803485,99.22891915306548,99.55741783778289,101.40548557739639,104.70561212562741,108.95643162674929,112.51656184927717,114.68395509087688,114.97466583147998,114.10658155391482,112.34667011211138,109.64724897002044,108.2458705927462,108.98761440589006,110.7455673280992,113.14831333879484,115.21436670888939,116.70091955883221,116.53724462795161,114.28455372244329,111.39416678661415,108.14075384454132,105.2876520798664,104.0548731643134,103.94106039960607,105.2645144356578,106.99383442137092,108.43675304474078,108.77903165898734,106.88421635664704,104.10062213107405,100.23476853872617,96.68127762697942,93.560922193743,91.75155430521643,91.54879513093373,91.98768601078143,92.62177762101926,92.22288081059577,90.26917579396202,86.86580781032742,83.18512008134873,78.75960545587331,74.92294461658177,72.59150265319722,70.80603229595708],[66.94469074507816,66.23112795691432,65.3161279128103,63.56647578056374,61.2074209226506,58.111360139977315,54.09699460476817,50.194202668068456,46.39184703937541,43.234092983365464,40.74441591427547,38.34455045671651,35.45572242342851,32.484374488650104,28.95911571759585,25.33441485732201,22.134783868842895,19.149720633559106,16.846252711822828,15.385467349479068,14.44965531415939,13.226050117457605,11.985561035615536,10.621310521291994,9.737257589523082,10.82920625234982,13.884907764051533,17.223352282452115,20.85762533207809,24.73243371941636,28.46956945472726,31.94057034987842,35.279234279869826,38.44047582620017,41.59219520188425,44.9390054753167,48.211732081179505,51.22339831695415,53.5559737594567,55.82433828510173,57.93658634028036,60.235932663661316,62.93409090611112,66.81230241462457,70.83505042968582,74.6518263160349,77.98988444272223,80.44906410564137,81.79369790213603,82.67801011599717,83.31647838610542,84.37863832307447,86.34427570192092,89.22761364108057,93.32461559243674,97.5485235890801,100.8660011379177,102.77925719873,103.42748822802969,103.35895638116075,102.34401122354811,102.25408313089515,102.44067148314178,104.15084336036584,107.33147062710891,111.5101403635416,115.01742309227947,117.16929479060242,117.45053024613485,116.5690284645802,114.77177152813044,112.00888949658453,110.50667999272336,111.08418361384766,112.69054532332667,114.96958552169049,116.9659926103092,118.4080464226216,118.22561871309652,115.95457441633363,113.04029997876863,109.73425841843931,106.79190109864501,105.4005888146874,105.10918936798636,106.239947146182,107.81002236361417,109.14083524458985,109.424027150406,107.50911283137822,104.70958563620862,100.83293376846049,97.23652466947281,94.00244972447912,92.01221031158485,91.56772830305187,91.77015404669561,92.21591026730948,91.6969834221896,89.68456436699708,86.3012958110026,82.62715729861813,78.23763872471059,74.38793011347975,71.93902534488127,69.98548821029685],[64.67464089208383,63.71798421351712,62.62834872609925,60.84185233006437,58.544424276099654,55.58721291928249,51.7245828837656,47.971218350032586,44.19682218076186,40.81421437828183,37.95368465279906,35.14002580270452,31.926391049194482,28.732767174504957,25.35154738554458,22.138456617828854,19.56347791077611,17.369246550902627,15.669269862987125,14.59108979091423,13.450832508081922,11.856054538221445,10.37889686459565,9.461660151244464,10.188966284899,13.304595146100604,17.261955567012926,21.070749134109647,24.70118061419459,28.17572165857021,31.44624919276807,34.51804143678873,37.56221082933038,40.67117281868511,44.065871325100225,47.70012768941186,51.229367989003585,54.393887778685404,56.717868277998114,58.919788667172945,60.80081558070466,62.820244229484835,65.28843648704036,69.08824456689509,73.0860919650046,76.99035847021636,80.45709264360298,82.9920243974494,84.38284651031636,85.19947196902869,85.73551733717862,86.63560454647475,88.38427334633332,91.1129488570426,95.13070029283386,99.35449898370213,102.68189793465022,104.6313153654978,105.27720862372054,105.18353044681817,104.07209261309247,103.82981365016947,103.82553281170931,105.36868389162413,108.4236059024282,112.53440439762447,115.99231174793593,118.12804507917913,118.39805744642537,117.49245114298736,115.63655594236869,112.77721586952195,111.14743378819189,111.5407110103705,112.98810871143797,115.1482291911927,117.08984906628186,118.50268088657037,118.31965661542534,116.0406753834057,113.10689168004266,109.7414953101175,106.6942193221955,105.12702506035068,104.6526811269646,105.59973617814077,107.0409126493399,108.29823044334651,108.5630749497845,106.66173988717998,103.87294200171377,99.99100457567948,96.34830267984283,92.98399725796246,90.80197120340354,90.13170855518104,90.13935874110736,90.46174649074685,89.89754102372322,87.89551517102169,84.58316963904987,80.95767795147681,76.58977797476699,72.68192960737548,70.0598323131002,67.90889708175729],[60.97380140124239,59.87484821723341,58.74289364629996,57.02537313773015,54.86825616584786,52.09119502439158,48.36275722812697,44.6888349601191,40.85174858709428,37.20540938369382,34.00394780308332,30.90206326565746,27.60750935799566,24.46105702903912,21.482215348481486,18.91924364522007,17.13050704865043,15.567937455031005,14.201246545386635,13.293649781774976,11.85948363001467,10.307344558059574,9.485754948878185,10.174954608648365,12.849847856863107,17.03399344187367,21.24010329606049,24.95644495964203,28.230300611890225,31.15202933717197,33.89196263099545,36.65648201802437,39.55256991440736,42.76612813671254,46.48318582723836,50.371173529499195,54.01146684099416,57.18396979142841,59.31739797440536,61.29079195178472,62.85117786836063,64.56172758514117,66.83664241349193,70.63690452278043,74.6554768745147,78.63824475675106,82.16993139663307,84.69444806739051,86.0141623957813,86.64773732669384,86.98096449260935,87.66176780960818,89.20341256392851,91.79938054077874,95.76112029490989,99.97025578776271,103.27043074167287,105.19039156520735,105.75794651100037,105.56405612645109,104.28734341208826,103.84874980400883,103.64017894713592,105.02154604199438,107.97293781234337,112.01963499263917,115.41934251232922,117.5032549600282,117.71644354851398,116.73938250007522,114.78108595468362,111.79009555213575,110.01676514229278,110.23752953851705,111.53777464333966,113.58155241205854,115.45863698094709,116.82672422634565,116.62110023232046,114.30797692323387,111.33106554313004,107.88954095368274,104.72881830660461,102.9971127076763,102.36172405096316,103.15583647513624,104.49309301377475,105.69370642660806,105.94609274107937,104.05028339822451,101.26396214542409,97.36232137783897,93.66564517165735,90.17845635116542,87.8345200221254,86.99436244840196,86.87111650922321,87.13057865105603,86.56431761967426,84.60171230850985,81.35873337761281,77.78492711671457,73.41126203564774,69.42000215701404,66.62835507471351,64.31161252963498],[56.733827076915965,55.602024153038776,54.52938737548166,52.929384511122045,50.92518557409361,48.30550522902462,44.65189995877547,40.97706548795522,37.008505300421646,33.11304731903471,29.66786825236426,26.460535991326637,23.33746122546123,20.521842722151604,18.130601676421858,16.32244241162494,15.310616619422067,14.11449260344592,12.835658919346233,11.952344071941534,10.437702431484608,9.610041484606176,10.33591820282473,12.745270966330924,16.54787225029436,20.99951432147485,25.090012910043143,28.45251599278038,31.239224096721927,33.63137316115404,35.91117274527855,38.50285122993077,41.39376620618026,44.8007359199595,48.80968523201488,52.85173010905759,56.456896709229426,59.51641091575003,61.36175861707823,63.03186763883703,64.27696118344657,65.72655590820133,67.88246553747814,71.74211399587571,75.80810420011912,79.83446163076513,83.35174995109992,85.7855024338947,86.94385076304377,87.33642142872533,87.42463861740147,87.88494306221614,89.27130995955002,91.77872159174186,95.71237797201407,99.8869494973134,103.12205109757004,104.95067048459732,105.37955516407848,105.03304463028918,103.56066547747997,102.92337866317035,102.53961913761908,103.79376905916368,106.68197948163983,110.67634825398773,114.01296363286048,116.01203953037545,116.12523126470337,115.0382100487707,112.95076166049768,109.81908759000447,107.91089832713197,108.00139512864844,109.1863997414939,111.1280728840534,112.92920969774272,114.23141845107166,113.97107490331908,111.59227334630855,108.54927801934866,105.0253126732256,101.76204500011578,99.90676729926047,99.15635342673639,99.84325486577075,101.09883861604267,102.24757338898809,102.47334284683707,100.55636639038956,97.74812421606464,93.8128498404928,90.06217477711853,86.48020685922683,84.0301142351413,83.0920199858291,82.90463613095736,83.14357621013683,82.58879896017625,80.65993789372625,77.45345183212385,73.91186968683942,69.51123334622368,65.43739671624905,62.52189288423477,60.1039383058151],[52.432034857535136,51.41164257851912,50.53023603995865,49.104178857858436,47.254480489876954,44.74500986101279,41.075931952065964,37.27619865632542,33.072459687426516,28.94942023235082,25.412235239979804,22.401254707023917,19.86220659590633,17.82318698630055,16.225751520527634,15.172085807011731,14.700954381771613,13.39346669995167,11.794454578109612,10.738058720056555,9.340837700386716,9.854417900022629,12.320885441874974,15.958151671524224,20.310861666635628,24.645481492145656,28.433171966835673,31.274456406447236,33.48467952048399,35.367970824648616,37.24562597292061,39.773091914689445,42.77400805704019,46.43360593393632,50.68394266964502,54.78482844103389,58.23517897612814,61.08831580852522,62.58134751702596,63.902996760955105,64.85452509195972,66.10157184913831,68.21264856523496,72.18341863265728,76.31823323640103,80.35486572462904,83.79128748991903,86.07431277175577,87.00748168660706,87.12693285906892,86.95073046182027,87.20571715121373,88.49900593132843,90.97028885942669,94.90746354869044,99.03749629510698,102.18234852630941,103.8735852087048,104.12453647352464,103.59225322740804,101.91560039907581,101.0971321918051,100.58399870622878,101.7596807519786,104.63372927684559,108.5963578912534,111.87634201491247,113.7707639662343,113.75544240628219,112.53388764245679,110.30574151864774,107.03870024046108,105.01953120983097,105.0373941774866,106.15702873554388,108.02885952312799,109.75726092326579,110.98556908920305,110.64766328582769,108.17880107986959,105.05140934593928,101.44394092420747,98.09662514383923,96.17170350465102,95.3688339749285,96.01640593379462,97.23356505249733,98.34988048448909,98.54416749659985,96.58236308865813,93.72925287977628,89.74213052129852,85.93617760056163,82.29281123332123,79.80401190955409,78.86338769953394,78.70118636068578,78.98147100039374,78.4596689677177,76.55718564592934,73.3431128975015,69.80123238900146,65.33506065545708,61.17014944225113,58.183033654842646,55.74278933777463],[48.51644791343226,47.68413158975249,46.94170622987479,45.54518607545062,43.66133379765413,41.0611635194674,37.229683669785,33.207203118357455,28.796115270502376,24.68239701199931,21.4420450839694,19.033561954019525,17.25601425074992,16.093743197341883,14.89377595983784,14.038801555748119,13.594027808768237,11.875648104143197,10.111279855304987,9.448007814059125,9.429617311561449,11.985206456516323,15.742906472374445,19.868964114898187,24.18903165066622,28.105077977574755,31.49695381762,33.81016971869258,35.55645573017524,37.19888091842835,38.960378648719505,41.64833281243616,44.90008314152876,48.80539119867506,53.14729278962266,57.15773346382645,60.34433680276552,62.926941835753716,64.09449524079947,65.11326148114476,65.90499680410684,67.10241086492717,69.28681251747862,73.3989156707169,77.60087438813008,81.58858469759188,84.8643824912249,86.9427108439128,87.60931273125966,87.47204118971949,87.06239606426024,87.17917406778557,88.48183932856558,90.98375286849667,94.94911554258086,99.00955167037554,102.02882572265662,103.52981574595769,103.5632941721307,102.81676191911103,100.94415534199118,99.98362634857912,99.41116492811379,100.56805542396287,103.47231402407579,107.4049351883769,110.6140975346712,112.3626138713616,112.16737956567202,110.7703401466194,108.38070869731023,104.98868789315577,102.88530319657988,102.88561865927105,103.97010208661538,105.76900905297485,107.38462400787058,108.48977741182728,108.00913175100129,105.39255302880385,102.13694970026758,98.4332540753707,95.017738157075,93.07487646410515,92.26431753016041,92.89891299853907,94.04786195625474,95.07400524989082,95.16005111791925,93.0715516711075,90.10170785805497,86.02793705479577,82.15796457517109,78.49790555002612,76.04331196685038,75.15690741653137,75.02927766257561,75.29892009656987,74.71133392159383,72.73074158200161,69.39644857503043,65.76726871217906,61.2197482395285,57.0212018944467,54.099612669370615,51.76685398207344],[45.42810905466602,44.690494870003675,43.86532484293369,42.25621327617324,40.109478154256486,37.2353837411405,33.16601410900055,28.957481316198205,24.515124264255434,20.707800042198613,18.099748764955667,16.455608586628912,15.196023601485436,14.614634859100601,13.342067873582678,12.310681042669934,11.74248603385378,10.047259415331872,9.165332667505021,10.072702270711376,12.102756598901491,15.957364288130494,20.153719598398574,24.223540871833034,28.22667989409225,31.732099623366516,34.83521014036529,36.83941604985559,38.39836361496337,40.105481952692244,42.00211796248583,44.93734822005594,48.42028182309537,52.4559949786565,56.748692104677104,60.5989565901318,63.543271193821944,65.90171243364662,66.87143064523133,67.71596853343216,68.48620121321241,69.74021897355266,72.03393676153095,76.24264679328289,80.47068231443276,84.37415050128227,87.47665622111103,89.36649690513117,89.8093652540482,89.4917040197261,88.92325805141692,88.97004951760645,90.323746159728,92.86499256470833,96.84073230215385,100.81164672154347,103.69504588036276,105.00550115640854,104.8368292732029,103.8976991666394,101.87032057105561,100.80788268079418,100.2129155181496,101.36502714621496,104.28816610622727,108.16347223220163,111.27609564676386,112.8574324739739,112.46340540641883,110.88407529357384,108.33951448203119,104.8489248124874,102.67870689864762,102.66267105704766,103.69234301893258,105.37746251022334,106.83025679097388,107.76604723343148,107.09963228807491,104.30939064311268,100.9101807365262,97.11240435946067,93.64054143899746,91.6867404825389,90.8518229003276,91.42465949468436,92.42206080261629,93.2690212625355,93.16656354706221,90.89406585205754,87.7632445851693,83.59848119862416,79.67067301479251,76.01589646654995,73.60004734745276,72.71683925164652,72.52477039363032,72.64831684386291,71.85404796935119,69.68244599090698,66.15466212807927,62.382759269586856,57.795500425484555,53.65569778322552,50.905689869677666,48.73920401298933],[43.115393612963835,42.4261882130101,41.43212621140616,39.53813406098391,37.06605152511183,33.871012607210325,29.575822806785727,25.24064437580195,20.928789310303685,17.702467026089565,16.027193244370896,15.27940575976272,14.477018092075353,14.359565586844539,12.948424907074598,11.694491979119556,11.07031796106359,9.84719870863439,10.344580967167598,12.590038002022553,15.802523360423056,20.174615110011842,24.462823974771347,28.368510733888844,32.06292537721478,35.246275939942365,38.13888504578965,39.95736489976148,41.442463132168484,43.27675677942132,45.33828157247533,48.47238352733013,52.10672895604701,56.19467284355288,60.40253040222151,64.10247876655188,66.85602983640302,69.04339795181998,69.88812663873762,70.62559292957786,71.41094818857592,72.73062731498948,75.10804828016404,79.36558092450613,83.58921291335184,87.40730778502342,90.36296096625425,92.10089232777173,92.37304413276783,91.92592371669893,91.24679370887367,91.25052915986227,92.64456482280328,95.20540444451959,99.1698678657421,103.05204484193204,105.81456059929944,106.96550004815658,106.63186008691737,105.5375509520009,103.39014719604384,102.2464482192752,101.63294605638548,102.77149030328317,105.69169705145232,109.49791817358458,112.512063236881,113.94210498014404,113.37387141444977,111.63908626084557,108.96545077959826,105.39928552760357,103.17274453369187,103.13077908027225,104.09426090056189,105.65790517069586,106.94951643770165,107.72254796094992,106.88471476978393,103.94117625199117,100.41867474183502,96.54531434926848,93.0312946934942,91.06548202217904,90.19498707320368,90.68572213633563,91.51142597821072,92.16515021742491,91.86834179426548,89.41896115999018,86.13882753461831,81.90293749708296,77.93591953645945,74.30238843761684,71.92537216125865,71.01891584421737,70.7243636033542,70.66013492969223,69.6286824723667,67.25080990908728,63.537516573179474,59.6288653720953,55.04376454219082,51.01924850962214,48.48659084656678,46.50989598913524],[42.046718006256334,41.157784496883586,39.72547294282644,37.37598570780872,34.481605680648826,30.958134000198466,26.571253355840316,22.40261737932938,18.65491518599907,16.261708521389284,15.377044339869048,14.958534353421797,13.85442245598588,13.556062051174106,11.72516623439195,10.357160155553913,10.171054692447518,10.51558690495302,12.846706694829766,16.15870186806321,19.930329787163164,24.297409780998102,28.328193501305478,31.89587632784226,35.276090231448336,38.33540676469918,41.22760830465888,43.158071859921,44.84070519419483,46.958973477801045,49.254400755011766,52.51080627949339,56.16443670432944,60.18134612116903,64.26491186773833,67.86410281549983,70.56370454977073,72.71573387850222,73.6003176943928,74.38126061165264,75.25329113811392,76.64344820732197,79.0433922424815,83.26079667563992,87.4322996557495,91.18415903492013,94.0686729770224,95.74887523537853,95.97694533312527,95.51444454808954,94.82385953854198,94.8306103968448,96.22450336313264,98.75589155205591,102.66635687232728,106.47122715415279,109.15251147298203,110.22250129580432,109.81315774793386,108.65129578690552,106.45844878897393,105.26998758973993,104.62835106525952,105.71991708861948,108.58075445420921,112.29327179722578,115.20666538672126,116.52543300467596,115.84000512224353,114.0110726120202,111.26439588157994,107.66555246526914,105.39329551005618,105.27873699059236,106.13208053698717,107.5471096180667,108.68116933706648,109.30969245896544,108.33908888254636,105.29446728940678,101.69788745985774,97.78235322910598,94.23921100334286,92.22300986273342,91.25616680833733,91.58804742376124,92.1876022220247,92.61816521926787,92.12771541630833,89.53880218233438,86.15373451555149,81.89940672653289,77.9293850567303,74.31101843312574,71.90578099809771,70.85056165286103,70.32151344974486,69.9622138735917,68.63857018978119,66.03979653837813,62.19980181918527,58.201183221332855,53.720116296955105,49.89074895513733,47.55309325893018,45.67836290721207],[40.98371442972273,39.65795550009013,37.635280435419666,34.8181231584314,31.59074043775102,27.9361589693513,23.74009146173449,20.14156858732067,17.298076912367836,15.56377306374275,14.891829175581456,14.179824850441888,12.355108732568565,11.68368041895108,9.930331107715139,9.545206696418598,10.96940903631442,13.406859196557102,16.942751097575023,20.658408682442985,24.35030469635029,28.338315936186714,31.947533039504535,35.20032166438077,38.44415027500051,41.64761427965719,44.72921615109186,46.96938919561078,48.94990310052137,51.28203669826953,53.67728279696859,56.87889903223035,60.39465116063959,64.26782827616994,68.28117949016948,71.88529637858785,74.66531129507037,76.89018588805202,77.88105332788345,78.74976591664895,79.65299854647478,81.01071024810915,83.32098035661478,87.42774081498159,91.51452970723072,95.23643998104092,98.1301987684905,99.82705807372284,100.09519967950189,99.65644831423924,98.97488144315946,98.9511421610884,100.24542182805425,102.66698340814978,106.47402635490131,110.20931308063491,112.83815630473195,113.8914971182535,113.46828959005553,112.29442045903285,110.0794817952723,108.82657128552378,108.09130020794687,109.06580379145868,111.79487543043953,115.3823658212565,118.18616036522097,119.42673039489814,118.67548860154471,116.80322467855207,114.01852816814662,110.39573050132616,108.0537603141481,107.78669023212048,108.46663684593041,109.70060910922186,110.68817579915607,111.20118617578073,110.15340899460872,107.06951633905452,103.45173535178169,99.51665426130239,95.93173396489004,93.79128576315892,92.64430787054101,92.7322973425168,93.07334755688244,93.28603551970525,92.64676138816161,89.99708643692274,86.58552127347193,82.37068455740864,78.42293186578638,74.77065315917908,72.22423758775496,70.88092045944099,70.00769403315314,69.30831984285918,67.72229981149033,64.97054762624407,61.13484760953143,57.157282484477946,52.86294699201035,49.22245961883333,46.92645728308166,44.97036916060528],[39.571805983584746,37.84105979814032,35.31587671299261,32.1475823273841,28.72573868797542,25.102638796170268,21.263579602929095,18.39779295884384,16.510331836157082,15.3460575913586,14.80833088494664,13.912022693345484,11.793037618992825,11.241052779189376,10.417431336104805,11.496692771354567,14.062491526476343,17.43887145927324,21.304873989271208,25.03546316276733,28.50733310734556,32.17605472797632,35.50173095268397,38.59345691593867,41.824864969772655,45.19458141129437,48.428307037628635,50.87897428375845,53.01975971271733,55.40893752647393,57.77637098307023,60.869614521585845,64.24404708960438,68.01245136359783,72.01033721994969,75.64705990470283,78.49719139844521,80.77185389187491,81.80341842255257,82.69271682388859,83.55336573238536,84.82128157142586,87.01984157490264,91.03207989897906,95.04644047880309,98.74855331562712,101.65226091017193,103.35382771998549,103.63759866567052,103.18100729220033,102.46637172746973,102.3733950611603,103.54388246908462,105.84655027899642,109.5512830407847,113.2183214806117,115.79268060463929,116.82415708795907,116.3749765236174,115.17469443267437,112.91459773872383,111.57356198204772,110.72324719051667,111.56848167264137,114.16491952850902,117.63068831176238,120.32801885341563,121.49245529935983,120.67996328541442,118.76474937456378,115.93714943649405,112.27812029052849,109.85725711084855,109.43264123175626,109.9408634569624,111.00213256713921,111.85684532173187,112.26882176865496,111.1608411620693,108.05151440477245,104.422759154515,100.46986554621103,96.83932957036062,94.56832197530264,93.24343651191957,93.10037060760949,93.21072328330278,93.2374646268012,92.48358505627564,89.80375640364407,86.39157128099329,82.22534991464155,78.30096334994688,74.60374445454629,71.9093259182074,70.29225656638582,69.11025885110344,68.12529804320783,66.34145076673012,63.4984568701916,59.71994470379979,55.81100890784383,51.70288303438765,48.21679492790355,45.910704998545114,43.84606878392756],[36.91013921331922,34.752362115989655,31.90401299417706,28.682766282118845,25.45244593253137,22.28462927835797,19.067725798733424,16.971922432778403,15.64161599533139,14.350865042163257,13.329679197052556,12.013844993326341,10.040831389066788,10.439348334981469,11.637417450280232,14.471769015930812,17.933914590930446,21.58305141017831,25.234345086997937,28.62443622232024,31.595151127688712,34.86963006465129,37.99767257963123,41.1266135314235,44.58229804986975,48.25378980997252,51.66807025574093,54.270791120068864,56.434743623407975,58.66476140807497,60.80859462081367,63.67281872264509,66.84891092503678,70.54054381623939,74.61729463774329,78.36202252669239,81.3112283283986,83.63618618825257,84.63546578507754,85.462355463364,86.16039545206473,87.22647953644126,89.24527463985218,93.16122887004502,97.10944762178737,100.82034017469347,103.76477869636125,105.47912779901456,105.76867906545058,105.2451182725012,104.4442911267145,104.2174438339697,105.1997927507838,107.34586801981554,110.93576435330938,114.54492680339945,117.07930516605873,118.10770173706884,117.63949408022535,116.41229469351825,114.08031540536219,112.61020751646888,111.59180366301969,112.26852703162835,114.71052575637565,118.0577753755218,120.66269496527208,121.77937810613065,120.94313416726182,119.01054583495417,116.1455082946883,112.42714214058306,109.90000055996046,109.28231956029889,109.60698619159255,110.51424457414986,111.28490434822692,111.64853447942737,110.54549039515327,107.46022546249714,103.8525689201217,99.8801053060559,96.17669792798183,93.72733481184572,92.19663404655367,91.82647916537782,91.77201284236773,91.70480405931903,90.93962570665215,88.31979119735445,84.97791493714004,80.87327510308235,76.95604867055897,73.14393881861167,70.22716766713879,68.31350506148023,66.87107779479233,65.72576480049655,63.911928976752286,61.13433550365822,57.54149001976845,53.79857171387442,49.8246032685212,46.3317552199098,43.78815942967069,41.43699050562953],[33.535306141606064,31.050284165813864,28.059993928735008,24.98587230422345,22.163616310243878,19.647548456126177,17.148274980992042,15.758376997759624,14.811206998934464,13.338300475818432,11.940089125834822,10.617658085830152,9.767972055272981,11.665476440589737,14.514520393742114,18.22622823413366,21.98274418541333,25.45947836805246,28.70977289495712,31.691813093656602,34.213041262423815,37.20542499509491,40.26200319384138,43.52000306376094,47.221650456888085,51.103815174340504,54.5906813676941,57.197195534146985,59.2494905859379,61.22876047102236,63.09574771774436,65.73908597332735,68.75118113596018,72.40980496017238,76.58272591065155,80.41335937210302,83.39762882486164,85.70637377106033,86.59148727962125,87.28080684786143,87.77100013758127,88.61622108752253,90.46290620133703,94.30372458082111,98.19548544439796,101.90335205118225,104.85553017036817,106.54183107004664,106.78432911466014,106.14191202319552,105.21057682032075,104.82498085091567,105.62417244481816,107.62340786437822,111.10842952613245,114.65314111587868,117.13310215201153,118.13087557950357,117.61226997689418,116.327805896367,113.89536829274475,112.27941770826287,111.09108569861651,111.60645280385259,113.90932929273107,117.14736608672844,119.6646978784557,120.7275204229285,119.85915424715763,117.89727050935691,114.98141060125508,111.18995303383562,108.55427883817062,107.75906943592628,107.92048377255028,108.69534436548616,109.39909801350572,109.72661497662915,108.63531486288264,105.5724159198474,101.98189121745163,97.98500764088573,94.20690774600908,91.59269213248986,89.88323925120338,89.32771016431413,89.1568224707217,89.03976510962526,88.2952490607076,85.74767339646405,82.48224105390186,78.42679081135142,74.50750803025885,70.58095032826147,67.46599821604457,65.31596553104937,63.69238906414106,62.47451426258323,60.70741735293427,58.049298155637864,54.65607887474124,51.08859183490344,47.20343140559734,43.651901912633974,40.84556472365151,38.216725039251266],[29.676500947480598,27.057189409446973,24.24347854671467,21.61398059204963,19.461574943950207,17.75344723730099,15.888727069867864,14.86398633176436,13.853653121590996,11.976138472227175,10.292402698430164,9.558629236366368,10.703245706851346,14.042065987182466,17.853870477456603,21.89278939618993,25.614001280263547,28.64512956116472,31.33896386517224,33.842949071236376,35.94613742496472,38.76274455682369,41.883864376909145,45.367214058160535,49.33352736611123,53.33691881614708,56.79898326118039,59.272787925384506,61.08983509360242,62.736084111100375,64.28166409432052,66.72260427008095,69.6212977080534,73.30024478032972,77.58448106594803,81.47581740008981,84.42904868288548,86.65957256154095,87.3574963020853,87.84508065852341,88.09877329645722,88.72465889988332,90.42988367378717,94.23702680021395,98.09876911564828,101.79749904823213,104.72408126319752,106.34303106169493,106.48695872142274,105.68323008156072,104.58635175424064,104.03082196012296,104.67571661676999,106.56221840083177,109.97226737399993,113.455802124227,115.8713721192534,116.8100116069655,116.21092836443971,114.84055123949501,112.28794638268573,110.52705755036659,109.19245956610811,109.5812316004984,111.78963730715196,114.9497642932974,117.40000639019287,118.40662726896076,117.49475798127612,115.48837170110293,112.50967820906772,108.63591443556163,105.90434479190434,104.97928114296434,105.0303328090661,105.7215862348276,106.38656802088367,106.6936793287276,105.61294454878337,102.55761481182766,98.96850452031946,94.93789977943078,91.08832119532721,88.34835683831916,86.52000205650322,85.86116712264538,85.65374639919185,85.54827638047443,84.85726124601887,82.37875597163695,79.1766456752125,75.13816227560173,71.19406917686202,67.1554889313707,63.89022280372009,61.61346208622517,59.94131344913165,58.78292540822163,57.156222159822356,54.66077515062183,51.4381922703338,48.01888000754794,44.122493490982585,40.41196315363462,37.30081960562842,34.40419519617359],[25.309831066533597,22.90911850760785,20.630499709735346,18.606200190632133,17.107599775631662,15.971703482278933,14.321927517391465,13.181437177494317,11.83201821316034,9.802798409362962,8.722515481469983,9.8267751276362,13.1017995795878,17.337683755103107,21.346197818278696,25.193069065789604,28.555317342367807,30.9340369539389,33.032024172842185,35.1105055517742,36.990691248550476,39.86393632435209,43.22645671630626,46.994241198411494,51.16253343351414,55.121202906741836,58.42376227497126,60.607053634876245,62.07863558893533,63.375779720379285,64.62923243604854,66.95818652770177,69.85081575648539,73.6201297207694,77.99990159202713,81.8855193386439,84.70265719748353,86.76613841522114,87.20177842863188,87.42856399849342,87.45375555159852,87.90968300644505,89.54886441723167,93.38499064868164,97.25045663092334,100.91645415826842,103.75289784346177,105.24047474651584,105.20934458649005,104.19692218733681,102.90003428125023,102.18244224608138,102.7395716392843,104.57493749460711,107.95398296826494,111.37079989078273,113.69637486861245,114.52027425063847,113.785176558861,112.27835412676617,109.57867733846764,107.68103261888267,106.2473341017821,106.56677077011148,108.74843111125608,111.86440010376998,114.25903065893796,115.18011746856986,114.17743222808714,112.07931265487014,109.00505571020649,105.0392319262187,102.2315302734026,101.25416260409948,101.26091590024966,101.9075525349176,102.52821590653065,102.79228688119612,101.67205083753684,98.56743201236694,94.93049713973524,90.8465388332661,86.93695103366932,84.14503261141097,82.28877101192978,81.62622557375667,81.43396865503445,81.35245613120149,80.68348841694686,78.20304233500693,74.99145640162891,70.91010189349163,66.91350117714282,62.806356230315814,59.50307186421455,57.26224481917299,55.68992998469728,54.677809958044925,53.193347968736255,50.804328361279815,47.60983463748113,44.21842610331494,40.18981064199642,36.27396902875171,32.96203753707109,29.958976892762998],[21.177582670741177,19.242608519354654,17.700140249088,16.32917916407559,15.418629630043478,14.70674181900894,13.164108627429327,11.842579239565517,10.34833375580678,8.867782633674638,9.349143891531966,12.21349291086894,16.557742233305834,21.099095083952125,24.941478270050684,28.410241358048633,31.33183620990072,33.10498902683963,34.718118336885546,36.484376965993675,38.284245703041144,41.30087811987983,44.91280980065271,48.90036223615413,53.16350654197149,56.977110030317945,60.062963227930815,61.923481757945225,63.054352687520804,64.06077814713147,65.08975813711392,67.36839163809056,70.29874404896913,74.1607637011442,78.58935722078405,82.41373337164288,85.04584949857846,86.9088460878823,87.07860736449906,87.04994278536996,86.88588122046725,87.22220649106814,88.83794937729914,92.71499896771715,96.58386832286855,100.19065808216925,102.89828401717452,104.22537027336693,103.99411183947404,102.77221724271098,101.28170985431727,100.42515271207256,100.93435078897201,102.74534838048768,106.10332566148924,109.43926327307719,111.65395518045527,112.33420013708121,111.44029972730746,109.78047566144345,106.93604513408037,104.91856021719084,103.41882920388456,103.69815267245185,105.87674004981864,108.95110148333,111.28318262679117,112.09581334441074,110.97257039780925,108.75941889994567,105.58047550920617,101.53139155832616,98.66585495136444,97.67444603422946,97.66077607167728,98.26500488599288,98.81856428569554,99.01075247260425,97.81114854174652,94.62351927906826,90.91522218630875,86.77603492838747,82.82437541087249,80.02593106166438,78.18542282566989,77.55263875908318,77.368745629552,77.28204871652984,76.58831245824955,74.05168299653353,70.78426592961954,66.6378210014886,62.587515140964754,58.454159073657856,55.18654537874636,53.05665010287486,51.63208001135371,50.76145851421055,49.36699174157436,47.014935405349924,43.757309321331896,40.32231187859406,36.13006526699587,32.03492451549465,28.640743904208627,25.679607773701246],[17.797356251951573,16.556847067352983,15.728076883662771,14.7881749772589,14.137302231207016,13.528046119357944,11.975915117195782,10.586396098535028,9.494578473510899,9.569955049571767,11.857253096742715,15.747550261220493,20.392782816253618,24.925321370496757,28.412901475868804,31.42863892638413,33.91048039143463,35.22211641006599,36.5493562081262,38.19005552725861,40.10116703025659,43.35646068281583,47.20824650472943,51.33319630900824,55.58426420933725,59.18874941691492,62.04421396150026,63.60042603826208,64.4493528434779,65.27672587034033,66.19612722976241,68.50953463159608,71.52948507150114,75.48120752098106,79.91000692617057,83.63114210392934,86.05690249462538,87.71418259449379,87.65137140210135,87.40652195323867,87.1226324809061,87.41216136880804,89.05700990329251,92.98722049873504,96.86180650167515,100.39170251978386,102.94716415132203,104.10216109160682,103.66500000319802,102.25367255895617,100.59370754566639,99.63684033718762,100.14820152798028,101.9669652569621,105.3158543316453,108.56196832340375,110.65180841271962,111.16685158537753,110.09999226988408,108.27713900222275,105.29718756497786,103.18363397728302,101.6581650634584,101.93006127387623,104.12732680293055,107.1565897309906,109.41344384928722,110.09066069833321,108.81316853722802,106.45864015723745,103.16336121506734,99.04244565257719,96.13876951965922,95.16764084989825,95.14676352928991,95.69450025606882,96.14011725975928,96.213796286996,94.87906145748028,91.56446534837568,87.75311664797805,83.55462204846643,79.57867523373397,76.8167672100201,75.02290405114495,74.42548544187497,74.20033857463231,74.03422709354305,73.22987112377932,70.55715798368217,67.16511909511274,62.930464996566336,58.82731100913963,54.721273059997756,51.56506671628786,49.589440729728324,48.29885948737754,47.4787260249622,46.037190229702084,43.59289199926248,40.14370998742034,36.56425005746184,32.20640581423076,28.02690431998388,24.76981254013771,22.092574191831183],[15.926852438485803,15.572402131489726,15.119830200387142,14.0489277043635,12.981710421391808,11.874117027160667,10.175408538300475,9.034638695798824,9.405736306772722,11.838838196499367,15.65516275159137,20.035351600151454,24.505117261256736,28.784194429747423,31.736151401714643,34.21591164251326,36.25635357690012,37.27783708321401,38.57311030525291,40.32872684506975,42.576479779708336,46.16338125585792,50.22124506616216,54.376422806584635,58.49451587945069,61.83533750510274,64.46298936800572,65.76355576277275,66.42652182121581,67.22735786919044,68.18636181683348,70.63163870623963,73.78859196358938,77.81450437894519,82.18693080505847,85.76511183210498,87.97969368851714,89.44307422011822,89.20585476804183,88.80902445432105,88.49597077938397,88.82477034828992,90.55078078936154,94.5361937891673,98.41273972896575,101.84918933858185,104.23776156663912,105.22185305999636,104.59098966045472,103.02865989122567,101.24219248361649,100.23745110490732,100.80243939200447,102.65724656508453,106.00258387088721,109.14923068317758,111.10296812894369,111.43873770100774,110.19358198376132,108.20787490675929,105.1142277547958,102.93829751173809,101.4340788259976,101.73010456248468,103.95840509059533,106.92698144031674,109.08657258311743,109.5975660955836,108.13035559285908,105.60956739355355,102.19246662187165,98.02703506247074,95.11677655426227,94.20101889173966,94.17732544206746,94.63637351528533,94.91434299391352,94.80728072345457,93.26705291435788,89.7760625314154,85.83036163923799,81.58107187300787,77.61792143515196,74.95227672292457,73.23694362653654,72.6619690802044,72.30372870209138,71.93774327507741,70.8955888336504,67.98196995394969,64.38023256252376,60.047516694185006,55.918240464683684,51.94626936417354,49.021187238001204,47.24247994996508,46.021386415545464,45.07264574203578,43.347676609155606,40.60178570904999,36.77676215922731,32.89749162562265,28.427444041200214,24.425568185460932,21.781398187664507,19.859714076476834],[14.982918495962435,15.12833797308458,14.656504595479165,13.336221685217748,11.958017094246129,10.75157973321882,9.738625172006643,9.879786586025055,11.981226018305806,15.600503752718971,19.849124059604705,24.200457695452496,28.377992001731624,32.41317461037366,35.05983203471574,37.26903128765877,39.11896483827965,40.120150211294465,41.54325561005897,43.46274468023843,45.9470470727098,49.68627875589531,53.78746818153673,57.88752368301085,61.877345638346796,65.05462379041664,67.55468369516925,68.7390213260191,69.3366378073335,70.1702704858569,71.18088164316632,73.6999853792183,76.906066036184,80.93452041354449,85.2365835350686,88.70395633040764,90.77969231048591,92.1148988600721,91.77631343574045,91.29145891995675,90.96263738931584,91.30447837512416,93.0521858003666,97.027911387829,100.86452893658532,104.21035661281698,106.46914421186614,107.32597996425964,106.56360414492494,104.89924440714262,103.02647497904472,101.97869291132281,102.54308408706497,104.37623147351691,107.6665520736626,110.69929704767688,112.52181150374348,112.71418203370578,111.33350476163962,109.22900517845348,106.05604254498283,103.82010127212716,102.30555627347509,102.57488369736957,104.76519226522855,107.6241188535283,109.6563137955624,110.00710832219309,108.37398917425944,105.7204953685432,102.21378380638224,98.03038017863543,95.10804850521048,94.18252866695195,94.08717291727055,94.40049777118176,94.48544206803574,94.19072570831163,92.46570745360681,88.84129950866667,84.8066757889307,80.5406581421044,76.60367627256386,73.98645873643059,72.27150270875114,71.61336912961995,71.03705359002736,70.41700030127437,69.12558458832125,66.01309491530715,62.26018880554024,57.90699026532359,53.813117706644896,49.986910313687034,47.22237596531986,45.483893914336896,44.1609279207707,42.94050196005404,40.86113040945563,37.80567399214742,33.70188120205935,29.615005649424234,25.235039982073182,21.637983014496076,19.72089756522264,18.561929461736103],[14.790658748046734,14.778626905375194,13.690089774495654,11.848524658725161,10.246954490557902,9.532762654063214,10.281338221153057,12.341294675573149,15.852772274284384,19.946428921330337,24.144762817706997,28.201582122865553,32.00390036730657,35.802847968370116,38.33888701700059,40.52754392511966,42.438654171089155,43.69811745476081,45.42029800634704,47.56603163520745,50.20795057309849,53.956241248171,57.972642254969635,61.954166473193894,65.83356653010965,68.96131616203644,71.44716905082356,72.66882994077702,73.33457251203816,74.26925731083625,75.35095421535459,77.893787367444,81.0720343928823,85.04154240461423,89.27029608047157,92.66948094445227,94.69166425182476,95.9765952017681,95.62011980079328,95.1211196805967,94.79462503191327,95.12478671826871,96.83604965782673,100.74177864951989,104.50181857842999,107.76678259030292,109.94141870428116,110.72260624952749,109.89949402874976,108.18739119241906,106.27141468274588,105.18400025407236,105.68895520616832,107.44000240282777,110.62390545629631,113.53203677829114,115.23278927798474,115.32408476513889,113.85590175465677,111.68039629457896,108.46241104921548,106.16506217427745,104.59875869843341,104.78089372263626,106.85558537650545,109.55254175372193,111.4252572188139,111.62376903030983,109.85254200330783,107.10428595242637,103.54144654597407,99.3633586691394,96.41376466587955,95.39434446384443,95.14250550204515,95.2417616000721,95.10393662901315,94.61403243717483,92.73118244668116,89.02611101191437,84.958122929274,80.71172070616362,76.80745172047506,74.1658370696377,72.34349163677747,71.46362698585668,70.5618525907343,69.61838807909166,68.06494726467218,64.81039166778228,60.985099699218516,56.71251460439302,52.72893537774212,49.041786698451276,46.31983091111651,44.39162852517985,42.723143514554835,41.0305478753525,38.49278113827772,35.11297908253585,30.882107287482107,26.749456790375934,22.79341265071277,19.92623771034286,18.763274068689153,18.19589819203098],[14.138892246610894,13.563020733944654,11.795688473278641,9.8987267404015,9.098974225507082,10.163242466384968,12.951532523145865,16.265794017363504,20.253207429136104,24.18383898855849,28.004743543386343,31.69075109080953,35.2695750617508,38.981497026130526,41.673696678871856,44.089211326592995,46.24104573152199,47.81083830490028,49.747873106983974,51.98926118779526,54.591500739071506,58.20305087853987,62.071127727539626,65.95773592064616,69.81781105725737,73.01436954925396,75.56271379030144,76.88755309066556,77.63748141737611,78.60283096644224,79.66253862462793,82.12783709505138,85.19505895596185,89.0732579192122,93.26780746555272,96.66101009060765,98.69854084531157,99.983998827943,99.62401336505036,99.11155327569122,98.72939923674993,98.96585476833914,100.56128977518631,104.35391462652713,108.01350101740393,111.21789554397796,113.35697758837593,114.10277669271092,113.26238042418362,111.50845872323386,109.54367630989356,108.37581342465836,108.74117037550046,110.34561290992583,113.3833412991017,116.1717252555674,117.77300094541242,117.8087337128639,116.2924958956939,114.07861170083524,110.81611552707007,108.42344911873158,106.73334905335501,106.7575000842924,108.64988645802,111.15864744210144,112.86764669634496,112.94903079562445,111.09625903561658,108.30391054958018,104.7100337846793,100.52492906357683,97.50563935254664,96.29699353844475,95.82143483175685,95.68150276504514,95.35295450894664,94.71827083609675,92.76266250273537,89.05954036848354,85.02336871526724,80.81098379772156,76.90510047085444,74.12955741720029,72.08980680904719,70.8934629476871,69.65966238433616,68.44196588300622,66.72736198097725,63.46553492802949,59.69886025598391,55.58366536641675,51.73117282316689,48.07811061856875,45.208668874828476,42.88667820788605,40.7351082287599,38.557369986594686,35.67185660741238,32.146234708966915,28.088384644551898,24.20783787611923,20.89354730230015,18.735259322140042,17.904931499668454,17.47961909440577],[12.892239754425132,11.85736020338236,10.048054674196546,9.260789722770514,10.424801900621919,13.226176003594063,16.945407510829295,20.580525736269138,24.43348912146012,27.935373681229375,31.311431468325935,34.713265872601504,38.278955354028724,42.04871203051595,45.01773897139378,47.712392433371015,50.08742427651299,51.805807450685634,53.749945494498604,55.91100322192322,58.327637960604186,61.74193639653302,65.47487776085376,69.3265244989942,73.2378626024411,76.52877313434948,79.12590554301181,80.5029312943285,81.25277317937503,82.12885738206074,83.05973071162221,85.37846271721818,88.30059311106612,92.09379595075313,96.28741077351575,99.69630092557426,101.7466426354822,103.01906700950295,102.60777992884516,102.02798285096267,101.52109532871567,101.60186164095161,103.04386330969774,106.71776622219491,110.2743052565131,113.42558978285734,115.53749363797527,116.24623106359232,115.3780901761981,113.55112561995797,111.50441052032825,110.21711659672408,110.40730213379567,111.84384424448606,114.72844218904757,117.40292952689238,118.91434296480995,118.90666849769353,117.3480335862075,115.09691342007773,111.77218480549053,109.25784771172722,107.40834027078574,107.25126340029576,108.94942671093621,111.2790572555183,112.84083222804662,112.83174156174364,110.93187117890146,108.11900986425398,104.49975018751016,100.28715467638759,97.17576528306762,95.75130862608142,95.04985951966961,94.69684411791408,94.22850858180969,93.50348000673232,91.5392311348125,87.88329405948534,83.90800042856931,79.72443982141633,75.78723547835199,72.83115534023173,70.55053802162864,69.049201674644,67.5579474440569,66.1690525501722,64.40579944913063,61.231707522092655,57.59964635507361,53.64848078952682,49.902564762323564,46.1963883091892,43.08644969238902,40.33993062427666,37.749021972778934,35.22744030907436,32.19909165931612,28.73904587651415,25.074679631778384,21.66733899919835,18.99828104046974,17.344571557633962,16.48789003411059,15.961350130511653],[11.6944183824154,10.439433424297631,9.491118286944097,10.730313769508141,13.636200148281896,17.364908700033062,21.33173317599894,24.871241144848504,28.331651735679976,31.304684570142015,34.225288635025706,37.406306045625996,41.074810211632645,44.97421249084518,48.24907410543096,51.20500499493781,53.74960443521764,55.483877951436924,57.29346887665119,59.261966891587456,61.41180089391002,64.59978293022752,68.21328318201937,72.0673061358764,76.06506062142279,79.44571089375876,82.06404945006703,83.44166351835743,84.12413580415532,84.83055692460006,85.5644124531457,87.69768140779985,90.45868197286458,94.17257382157571,98.38069660579492,101.80954238399552,103.8583912085841,105.09876473040651,104.59824410759418,103.9113172587329,103.23737841426147,103.12879008225379,104.4009895161567,107.9559416325515,111.40980523248396,114.50927429518183,116.59195136548382,117.2566526428438,116.34830767748545,114.42727238734402,112.2788717524269,110.85314947827506,110.85659867309296,112.12098297768055,114.85455410269677,117.42074350635717,118.84868826826843,118.80206048059961,117.20261416449357,114.91377772582702,111.5185311096718,108.8740253324946,106.85516289066682,106.5151183561565,108.02428415119131,110.18948816110664,111.62204229373387,111.54268866269227,109.61893333104794,106.80136828426457,103.16164036454248,98.91097187215263,95.70038938071,94.05939645433897,93.14767379166143,92.61447908298551,92.05091514524109,91.27941653292827,89.35078988421039,85.7702842679586,81.87215359440296,77.71276922796916,73.72753762077114,70.57278827579664,68.0517706286273,66.27563703864817,64.60178238063281,63.132445641871875,61.411925680067746,58.395968580835344,54.95083654463818,51.161913931161365,47.500536125926146,43.680687170642884,40.27183149871416,37.09761411907436,34.1277800594409,31.409004856556166,28.44755095272084,25.269264168671025,22.219754179077004,19.515193518321098,17.49064643000913,16.154653586558744,14.973352956870357,14.155059907502439]],"stdvs":[[0.6474546528574627,0.893326434274044,0.9870663005996643,0.8935509135535832,0.7943109220014201,0.7163791757332436,0.7412242825957762,0.8954855181911611,1.0391032728086447,1.1741490219297095,1.6565747380986744,2.282676782155303,2.4015245302742128,2.3391617812026007,1.7725595087853054,1.6817038561994726,2.2771097651017707,2.883932709538447,3.017543924038349,2.9270020270390775,2.831705057582229,3.2846068371742954,3.768475320886031,3.8410910117456005,3.4631314268774926,3.310291150185053,3.7810004772896346,4.402684560186649,4.578645389415604,4.288094081486991,4.15352528660027,4.779059028535213,5.6700375678906045,6.071587101712867,5.570953667069562,5.2152817763951145,5.293253092128355,5.830582866367994,5.920414202760408,5.951273522928038,5.6119237440567264,6.014685617109906,7.095441724531719,7.638992163935078,7.758443912112539,7.265030212116403,6.81789782553541,6.968267136243549,7.387442878001229,6.967241162379593,6.269413287005553,5.912990791189471,6.441374475452882,7.2834855550959166,7.488370251462894,6.776046959074547,5.852257333818478,5.529391606750049,5.54691817004432,5.599756003847906,5.137822007021707,4.968825450527659,5.944516188764373,7.23757229838316,8.111774551978923,7.513954103987091,6.799618582814745,5.77713154724664,4.936805136682318,4.612746444660594,4.505115407989055,4.6911677479961105,5.516557736687336,6.866812733632025,7.444887365629046,6.935566608111058,5.865545917470919,4.646313041701294,3.7124021363716486,3.2789269222068493,3.1256995643105583,3.1202010691265594,3.334904530897514,4.080057358202937,4.690742471802019,4.931038124101075,4.296819817098809,3.327673782869304,2.417439582442199,1.9524907987258453,1.8584497366060906,1.7553339601749163,1.6865874812109405,1.8467014529577905,2.349540631955455,2.573518892927286,2.4543588702742882,1.9434088379865082,1.46798020009077,1.308573299214124,1.2920819464996345,1.335824956782921,1.2048104662346921,0.8854685153844143,0.43978604500935553,0.2838302075356715],[1.0686383409093427,1.0685457946779529,1.0439257422626915,0.9193219467470002,0.8218665476853972,0.7860673273949931,0.8969079537869407,1.0704593804128217,1.3394393818422146,1.6330452703748162,2.20792362875032,2.879093414698679,3.0266512081795196,2.9594630735778904,2.2910150585695757,1.9028364527844976,2.259315975381347,2.8189140062690097,3.0477268048621555,3.187226873030075,3.3865656535961715,4.06147981716405,4.626420295506803,4.675423212452818,4.16610640349146,3.7148790295793797,3.877533123905256,4.3635195390660995,4.571903335260728,4.525607323705113,4.7507567505069055,5.645203125215085,6.657940905637145,7.095641101610343,6.472872286955192,5.834374485006556,5.545132974278725,5.732764497446445,5.780868755758842,5.820256234447852,5.83771668309588,6.699449225658193,8.021243756331142,8.600085094867973,8.683002980677143,7.983296322653812,7.152237748828168,6.88501021380156,7.006875290362368,6.637248823034077,6.159173322020566,6.238803951840114,7.277400789299675,8.28336570342254,8.49008278570384,7.6376732809297225,6.476817467203969,5.696435092327909,5.357151268120656,5.216306694049103,4.981177640200459,5.314682513437943,6.797097531494171,8.256451110655778,9.180467590049043,8.528098664156927,7.744020349503318,6.5531751391258,5.395704937344784,4.791207867581393,4.696675997681147,5.22373749900918,6.277178062645861,7.760779220029754,8.349348027799273,7.828646075046137,6.754091772316913,5.408732478695092,4.225532269847417,3.542685369768534,3.2411151470959614,3.3587579559238736,3.788883060402807,4.72356197398696,5.375313141365462,5.619092301460622,4.98493983239454,3.981947699179784,2.9446366850428594,2.1683577538123986,1.7935183722266737,1.7042101069879492,1.8048982955347643,2.1935651209173446,2.720901330129337,2.92036874018025,2.7659274615409672,2.1701148070537726,1.5148676810686554,1.2632262665903766,1.2274783715398683,1.2234177037112883,1.0543723157605631,0.6300363445508829,0.17558222752064975,0.3794551266792243],[1.0685457408165282,0.9993924105274298,1.006426566722072,0.8903907724474859,0.8021777784724983,0.86756012005167,1.1339145205239372,1.342509061076893,1.6751393578653853,2.0128515046405338,2.630404055722233,3.289303031852074,3.3996919985318574,3.2976176708351486,2.5963104327270186,2.1637324092465047,2.450769870530924,3.0259829083644356,3.3513090505060874,3.628994133180375,3.9634123536907895,4.686136673767081,5.2361391068386895,5.248178749095131,4.692873838428891,4.129332249467272,4.141855081090781,4.549317769836685,4.792467859756386,4.882475267895799,5.285796440553358,6.274335296489117,7.305870261181539,7.726618108537754,7.037498252984483,6.265872413552633,5.796575142675501,5.77110948185468,5.820046983751054,5.899606420591765,6.154447664762407,7.24243956677954,8.640204912040142,9.189442739438599,9.217373327457262,8.409935382548433,7.38267677534701,6.871752308372632,6.811411606949833,6.523131153470178,6.248521049312812,6.628631348845963,7.91409095478782,8.962662460870673,9.142394475585766,8.228736478390749,6.96235562948652,5.933776805608195,5.389986103976703,5.140658080094698,5.127546394476514,5.782144613926005,7.4959601882877935,8.991191452853888,9.889369628756697,9.178783946960241,8.350277169987347,7.0958911220363055,5.809715039749823,5.086540080967516,5.032446579594765,5.7590487110427,6.91085295615835,8.418904938511938,8.9752577244247,8.436183933218357,7.383311974092814,6.014393213558285,4.767682577638545,4.015267840472453,3.676084626947107,3.8566780594940657,4.353716999998178,5.313830941423664,5.926759127087769,6.1178335294338115,5.458034899498968,4.4434136702879155,3.390281654622961,2.5156137620259504,2.0050402979687525,1.9214163804720745,2.079316891501276,2.514847203106412,3.0108209155134995,3.1304861948837996,2.8612450095936963,2.1070624577091084,1.3135784950617813,1.0236224057920658,0.979355468002981,0.8684473068608223,0.6069262603708505,0.18984989601460242,0.37363271439335516,0.5286514077995466],[0.7844683135855753,0.9086555640564825,0.9424053244642188,0.8244997575690247,0.8022681449222209,0.996236744562691,1.358141889088312,1.604427623625577,1.9334653680798841,2.187510304758352,2.7225783458893185,3.2810061477700625,3.3160045437540107,3.174153958956413,2.544055763331475,2.3412700214144007,2.832289118456259,3.5167341270444283,3.884356667793787,4.1228047495756135,4.276880805364899,4.809896843963728,5.229984350512054,5.1983732878082805,4.714039096976607,4.341651697081994,4.526057550527957,5.06155740235087,5.349100317218447,5.334358337980306,5.531695566064407,6.312200458010921,7.186782769331066,7.536540112455987,6.893180718911372,6.239313947223088,5.92529119688088,6.038304237520373,6.130974615801773,6.241008637725916,6.346232106226953,7.217243067848046,8.44242646172021,8.906413304226541,8.89297567593048,8.153127204469936,7.258654715568421,6.892359930200505,6.976153088074585,6.7330655703364855,6.453115821415122,6.714992672292701,7.763405562554108,8.674560509778193,8.798489883966772,7.924927558917335,6.711362569076866,5.777624628676584,5.317480097412065,5.134438729720216,5.132362401219253,5.698075828081339,7.268155628586379,8.649911696744681,9.449480510419873,8.696101207935099,7.862862693444017,6.659491722455877,5.4478769480788705,4.796091800952627,4.791741925142183,5.527286280712125,6.649529800239887,8.086171613239854,8.59765476251326,8.062374633043289,7.064815806048852,5.774595468266993,4.620029751588586,3.953725960888096,3.684641642452907,3.88469722402916,4.356739077053446,5.234436709409098,5.763384788556966,5.891698923728753,5.2519610137791375,4.308933691002589,3.356397365758907,2.579735768815641,2.1247883167115975,2.0729144121776213,2.2259311896192764,2.604624798966523,3.0090392754159128,3.011052941722287,2.6255080481712936,1.8036682277022555,1.1296844770564594,0.9215237918670806,0.8916705041811137,0.6367809559788259,0.21912453463504605,0.412114839713046,0.5277836965386277,0.5514282962993888],[0.6302212030172609,0.8513174274699784,0.8641572393080386,0.7897673773330462,0.9269837374560169,1.2962194959660143,1.7024178693133911,2.027946243348611,2.2614111823974525,2.2859500923729543,2.552629932253271,2.9113985731909366,2.865219923712245,2.712865767753825,2.3933430215602143,2.7546258962532595,3.615046123818037,4.483527382398059,4.8639289142169195,4.944514169730551,4.673292430786822,4.745560676161876,4.893113349352579,4.845184238007496,4.635585976500011,4.817945508703186,5.423749574254882,6.210957558578015,6.548610585688082,6.277415992066202,5.939369133620995,6.135417364274035,6.608578571697238,6.820246082879623,6.405762423401416,6.196692216019615,6.372863510187683,6.900156507799722,7.0420374478410395,7.15450491268359,6.765852849226831,6.9289616124311335,7.655084984435422,7.967953101284997,7.9458724600492445,7.512598042429246,7.1581660338174,7.331854698687525,7.825981936178375,7.577599970329718,7.080989241010851,6.7920992082893274,7.010591176875787,7.535229260971152,7.562650395251242,6.85682010413605,5.895178030996292,5.4538840474319485,5.38655778607757,5.425259957719915,5.202385615288389,5.219107080286725,6.157573770579824,7.215942568425836,7.834952182872955,7.063644026450283,6.278306054199037,5.257798156722373,4.3322072355087915,3.9658541627475765,4.02294053618107,4.5378231651287795,5.4725117198476845,6.724403571501247,7.178620111121698,6.669409981218154,5.756988960828469,4.616927892554227,3.669997497137898,3.2114958496099124,3.089371575750263,3.2690267188176607,3.651785135797056,4.358832411555895,4.787561252072136,4.8812321094208615,4.334883956585845,3.5546159888771673,2.7941989480366645,2.224199411914787,1.936206053481086,1.934105633239454,2.0730257610482377,2.3367768851796975,2.6222671720875534,2.5489717347316048,2.167686652638038,1.4319246119745637,0.9014494654522294,0.6859182037124469,0.4456564724718146,0.21725433222241944,0.39026924850035594,0.5544783060403587,0.48146264630194024,0.5876060054933927],[0.8953359892442525,0.9990374385455905,0.9488315206718211,0.956951953708398,1.2363452447576835,1.7195855507103717,2.17743598186316,2.592132738011606,2.821746780532989,2.7338439131707064,2.770666469074625,2.922452584859926,2.8167580841097073,2.712836983740226,2.783842218246875,3.534876217019573,4.5756082193559315,5.520647883945548,5.911004587203418,5.915855896899349,5.407781292796746,5.151653209992076,5.0902077139980655,5.068977253331023,5.160265483489688,5.773955248377481,6.6409865966443435,7.560616354416769,7.926824145772036,7.518520496611622,6.833822617881849,6.5501827664153565,6.621223466381229,6.701430566055991,6.576563991643012,6.806760741077084,7.383019768119119,8.19389980934054,8.369137129319963,8.473504483110469,7.731982346266775,7.2677130305292135,7.438203086954455,7.581428256833853,7.572892366282983,7.525078197336533,7.736314479760464,8.359443841735922,9.13305260094997,8.881108435864164,8.231441387893625,7.4919845417257465,6.870426804121491,6.912034955861923,6.84217630479093,6.411555165702576,5.8535629368176,5.9850886506239025,6.261031491591745,6.454899649447669,6.040255493861974,5.492762971544687,5.541067219298458,6.064373493623929,6.40312612447718,5.650432324254696,4.972709956237683,4.282818235198887,3.8804426535296,3.9209776480741407,3.982840542913305,4.0586298833708465,4.578961879778256,5.476299521506319,5.824520295491402,5.341146657068923,4.504442689644504,3.5858617603149265,2.988366443375924,2.8378185841773242,2.880031488255619,2.9599255783425376,3.133384927025988,3.523046304423571,3.772062871674698,3.7730586360779577,3.314290245079128,2.723985022980758,2.22279200774518,1.9368817888335956,1.861396248202402,1.8868951746456124,1.9517318641562043,2.013902396236148,2.105134620627994,1.947687934728609,1.6257899174927604,1.0771686972216477,0.7745955024287539,0.49286989546608456,0.17360304799611462,0.3931399528128295,0.5905795934746578,0.6241795718074411,0.6438369954279426,0.7354562208903141],[1.0732347252713252,1.0590978619656906,1.0435053539337582,1.2115010814878315,1.620199778061693,2.221186624820155,2.714405732102243,3.184625423257938,3.3221466089473837,3.062009641269228,2.845484743444832,2.81586317517183,2.705480624448035,2.738321711009125,3.261182732518625,4.407303831912196,5.642732206015428,6.668958699123992,7.016438589418465,6.891353638600909,6.097749088088087,5.529370046409569,5.305355322935635,5.404077381575726,5.901276914625301,6.998296290212813,8.158211202959931,9.216592225982568,9.579395426537609,8.999241676306786,7.933137754846582,7.141858585048743,6.786225806365597,6.784632447392699,7.119273320463676,7.905802912155807,8.923631689891865,10.03570138879653,10.221913959418663,10.288888573622065,9.165986130597028,8.025755520180521,7.551187831166357,7.5761910742057665,7.70469091004319,8.225471467836476,9.111673625629422,10.195564461295342,11.211961912818742,10.910011141477243,10.062812410548151,8.826650495564547,7.284981360005589,6.729519174796453,6.624252932092652,6.6959465511546234,6.771636909786886,7.554069648653829,8.139730495395073,8.448536394052752,7.783682762969546,6.6092904875631575,5.41067012317327,4.9814752520004815,4.839318329823874,4.295642550994218,3.9603137884414727,3.9975502714651947,4.453879353769249,4.919306292348495,4.874542682779505,4.238956062467519,3.8778653172209916,3.96849085944144,4.104467335016334,3.696456418244525,3.0121269517614397,2.636294512429302,2.795252562145686,3.0996036769320643,3.2982335618545586,3.1623401264637234,2.8973668728636666,2.6019556609438967,2.5165446024248497,2.376299018191387,2.053885418243911,1.7610007343020284,1.6735972804282329,1.8213577266827299,1.9922619107615955,1.9812341338033186,1.8456779407680266,1.5510939778536526,1.4606661586694851,1.4135289106701714,1.2543974989750697,0.8240964703053273,0.5063026703784651,0.22797825039079983,0.4327788938997147,0.6121527815372001,0.6767286487513916,0.7255530902267758,0.6979291252078966,0.7401550868224671],[1.0487367108445498,1.0191615185810385,1.1172922708644444,1.455293647443344,2.019886968382042,2.7243942122212235,3.194228244742913,3.6408916239520406,3.6648012796996783,3.254713031617509,2.8828925790333386,2.7833005260335133,2.7174718480366336,2.869668192671065,3.6407679860678157,4.982258819521652,6.3217686124359185,7.368329441375923,7.658828776455305,7.451016942896746,6.507007323900572,5.812271959836523,5.539716046888097,5.7226857595497895,6.428021278579338,7.748527052430585,9.047136427509011,10.173955644092363,10.52964463722897,9.856121193822664,8.627934393086194,7.632854801747544,7.104604337059349,7.081888840612776,7.631892365918131,8.653833955517184,9.845134348599546,11.07805348993714,11.259019627395874,11.294966121578824,10.016629771797046,8.62141428133248,7.893621465774454,7.882355599115359,8.082957443048652,8.844837959689178,9.99357025791204,11.236820870453249,12.325516717291462,11.993385258093937,11.072099491472851,9.652068262256316,7.788301715267658,6.994409712799547,6.877764990739395,7.167198227460494,7.491269150699281,8.479702427077518,9.153694473921146,9.4832662242121,8.724282637885526,7.342162510069671,5.710765976647111,4.831601413450006,4.405713362936881,4.02529493530962,3.921331958782259,4.3057907110150575,5.043847240840658,5.594611466605414,5.487710726619076,4.617301156547737,3.8836120231152087,3.4806223102223446,3.4430259426279677,3.0906173360370817,2.5679633293558677,2.5606470789657165,3.0610155035760993,3.4777782515692417,3.6874871109370475,3.4724093620248317,3.05102166226586,2.440581034553851,2.1547222139533293,1.9065762122866956,1.665482812531329,1.5455975691979942,1.6435170669709545,1.9135994062175457,2.114291847008749,2.0485696070074053,1.8126800597455819,1.4297701746209113,1.3329821949316107,1.2169424633418733,1.038840027639923,0.5959642938670745,0.34753307179135634,0.46552214764250216,0.7411001513509682,1.0049748806492909,1.014955774982513,0.8782910279222241,0.7187954949890548,0.7369560146648617],[1.0404725292504151,1.023905548962766,1.2195004406805294,1.6433822949471046,2.2986327493096823,3.0537689252791806,3.4905698524739077,3.865733786733151,3.7494231798612825,3.187287114000434,2.7045595886072236,2.6079324074682813,2.596333415449854,2.8152207407145755,3.665901025971946,5.084888997822951,6.46904916824959,7.495617644977513,7.701627824452545,7.397210165328526,6.324278880402479,5.566576038961747,5.304641083982655,5.556944334077074,6.36705230591413,7.798601371244369,9.180176782100467,10.344008501147975,10.679027573018093,9.926361671664665,8.58752044586595,7.502127925320307,6.946525031294614,6.961096765595221,7.605300329870471,8.723214939335312,9.993220704506369,11.29223059261638,11.45480557415497,11.45191153622986,10.06973711667753,8.558100354452275,7.775435473762982,7.8301149286519625,8.114084315355244,8.968522760177068,10.208809443440076,11.50843668795059,12.61572452081594,12.242267024427985,11.254826972607548,9.717569624912988,7.730452222141307,6.882335353025587,6.800992762402398,7.17965518667011,7.612683812474733,8.693765304635656,9.400418554813466,9.731218805704437,8.887707440051404,7.3697193458641745,5.51679868483037,4.462024290022468,3.968505069050065,3.694950635749934,3.7289444940989145,4.253731904333789,5.110578486659736,5.681216895859485,5.5107332017008614,4.465929947198967,3.513623848880831,2.84898058924537,2.763977593303618,2.4740072311348964,2.0916632453566035,2.3207804550726694,3.004836727254691,3.4653121408229866,3.653129677322547,3.371167463783179,2.824222330391613,2.036696373254845,1.7032135245016828,1.5233069309570284,1.3809053266266447,1.3857958241299146,1.5699688159180492,1.8752788142161139,2.0472092182235646,1.915865406572076,1.5892903363723407,1.1589349640424451,1.0166588303099857,0.8785714068131251,0.6594939424344008,0.22638466968510237,0.6102256543835106,0.8248072430206314,0.9405876935732128,1.223658428178829,1.1932931556370734,1.0014354690862364,0.7708957657397191,0.7519648580088901],[0.9481238464770833,1.0420777041531908,1.2037586932027968,1.5158867646493475,2.084608904536559,2.7727607096765463,3.152152334734523,3.4652071735459757,3.30793587426189,2.750513335970643,2.4135905922318903,2.502242661930839,2.4764737850541483,2.576443483559389,3.1568152631467647,4.450448261155049,5.808029481195049,6.811435259175363,6.982568166741124,6.678984109953786,5.653050631902885,5.019842081038896,4.863239861362432,5.078556028854908,5.730058592994458,7.029925150841958,8.359472569917102,9.512370709609941,9.847470519285405,9.111397634935038,7.84174012246123,6.906254531295028,6.532809652236414,6.609047518433075,7.07728676759908,8.02579971706365,9.192314361698436,10.444594125573664,10.599634493418517,10.594998478449572,9.26902751987473,7.915843996996858,7.360802125165275,7.509060869957075,7.78376502562289,8.467477808008718,9.541133267408933,10.741135703138372,11.799394312815776,11.428386746881527,10.469025972423836,8.994993246504832,7.189800010558268,6.505177094821374,6.442355226755189,6.6765277358859025,6.969330430568914,7.96625713274478,8.642794524672853,8.971739757705883,8.142835122801284,6.679605123654469,4.988099160811693,4.180103664470006,3.9021160644909623,3.5270616944780215,3.440490799412338,3.8012329267012874,4.545587075267029,5.066173096839926,4.8878451709124136,3.8851772251421424,3.0587933981897826,2.6423969336995867,2.6835350579603956,2.3817863469525262,1.9677173734829005,2.0375101248612975,2.639921679242661,3.0516954701012877,3.20792843036138,2.934147991964561,2.4185925592083084,1.7632962095830507,1.5948911254943112,1.5623856626340262,1.4504980840349464,1.4303980196166781,1.5595016951446443,1.774352649243722,1.87746411845849,1.7071707315950424,1.3897455417622304,0.970008028635384,0.749004590881978,0.5022071899100836,0.2071752632654102,0.48054416047142606,0.7953865032941256,0.9831661529872731,0.9942186163548452,1.1449525457042797,1.0525516164471105,0.8722903756104371,0.7443133589053255,0.8389928439011995],[1.247131413010163,1.452124673488643,1.4620073005874514,1.4408943857731138,1.6960242161736903,2.212674694182524,2.528131485958971,2.7902779696235527,2.658329109008845,2.284066165594314,2.3947599562889113,2.8195295429031373,2.783863846716139,2.69061982339385,2.6597355344172406,3.565185687864701,4.817628367319381,5.808666551363404,5.997643420857183,5.779697959076277,4.961786941937763,4.652260853384839,4.707567374839966,4.836948142860252,5.136868667074346,6.091608999762227,7.2571430494178175,8.355886965798096,8.70364229008597,8.065020966367763,7.006655077600224,6.414201075803605,6.380081418939768,6.5367927280380105,6.66172133164346,7.233600302226806,8.139458973141078,9.239947724396103,9.383989286823262,9.390809583333136,8.236486001192464,7.249048049413916,7.106678983948391,7.363150061969067,7.580981244902398,7.928265924817961,8.646198584726097,9.621070632347017,10.573096549816329,10.230223649765183,9.359932420021742,8.073821308806052,6.669648318028149,6.290790218225917,6.245430035283221,6.185139258352519,6.15750967220833,6.903346580543919,7.478963621130364,7.78479404154484,7.041156708736917,5.769860472085496,4.545648446178461,4.259673379583709,4.301048234362778,3.751211742287518,3.400635566472811,3.3499999324021403,3.7444857159170057,4.133569685674838,3.979372075655422,3.1975665412381393,2.7715013809359648,2.9145961846223556,3.1299879788567306,2.7970432842786472,2.2817836351464074,1.9105268434747282,2.1619522348917575,2.4385562635945033,2.551025612978019,2.3518806083608315,2.014127762008523,1.7305973600229319,1.8117343905514773,1.8758353748623489,1.7270648556182175,1.57615965525945,1.5376122503041636,1.5800548423762997,1.609690301964288,1.4561158773251268,1.2173257313803072,0.8727055294189981,0.5277792161599728,0.17929776416259363,0.4188907595824614,0.7261386373454652,0.7500210999397656,0.8253651816877352,0.8458260621122456,0.9503534611666553,0.8699999598736269,0.781473410398626,0.9130468271299581,1.2056298427222714],[2.0936364814572497,2.364049087094819,2.25097169652967,1.9205879414747242,1.6687931146236576,1.7652074093912196,1.9656468283887005,2.180022992472079,2.2300530429183016,2.3523260522692504,3.053858706462394,3.732355111290777,3.6869335346913283,3.435089217560155,2.724561563863877,2.8378423520012346,3.814641304159693,4.7733168364209435,5.036799575756535,4.998096215752843,4.608135269611782,4.798748936593205,5.104778818353742,5.132255733877949,4.985568026445607,5.375901079217906,6.231564621228329,7.212701690274787,7.574684932298405,7.111375764877787,6.412076503906088,6.308839006803734,6.670100311355869,6.904083204929173,6.657303327642712,6.740093961170039,7.25592906462419,8.104304477139502,8.238168100689212,8.27404114873921,7.413019601765983,6.952582194883069,7.278435580286825,7.620292839998302,7.748134601528538,7.697753562225868,7.936724394702697,8.575022985001004,9.35108808212231,9.054442146199067,8.319855100981622,7.32414786684243,6.484381058790404,6.461590228969325,6.429746008764134,6.052995171106513,5.620659433516148,5.9615316498201745,6.349711364013814,6.5944648655755245,5.981540052621413,5.024323745801301,4.46889166238166,4.721728657099604,4.997835844189272,4.3248512944019994,3.756115470957618,3.239108827324135,3.113559785730363,3.2685190600282503,3.1507192799112476,2.743502730722931,2.840537520054959,3.4424775005768127,3.74110132294526,3.3836062643695293,2.8147872697453358,2.118742003567301,1.9190783626361407,1.9523456700933834,1.9828548216882436,1.8717994834735312,1.7718401489177327,1.8433865083938383,2.0594531943917023,2.1585749043580837,1.9667477553017738,1.7337513129715476,1.5589059271001453,1.4331556237416494,1.3991506914132323,1.1892903297151776,0.9670752897747517,0.6145901591172993,0.18451624659057841,0.35024394074845155,0.5862495940920037,0.7186175692065522,0.6672903082105569,0.6425171628958972,0.6933787941934528,0.7927854926747883,0.8450202510459104,1.0361848439970138,1.5037396338786158,1.9870170869102202],[3.2029207750723647,3.5205536014871495,3.3390160378789195,2.873138900425183,2.3506891981444165,2.0192929866327995,2.041909729071273,2.176426589027484,2.4723816468220314,3.0858230833586036,4.142461816590191,4.95766963450736,4.922640518750597,4.611075219204367,3.5260575227495132,2.801040242174306,3.175817895194072,3.990946541152038,4.326786903390315,4.488516805591588,4.666530696266358,5.345543552122133,5.855832902447961,5.810965395126563,5.28630534170922,5.044418653709421,5.46798131550123,6.249333106227469,6.6154372223385005,6.373908279249309,6.139696574409997,6.564711755573022,7.265691438145367,7.560357655453383,7.019163142548429,6.638907853326211,6.706429410933518,7.2305955765613055,7.349496289490245,7.417495284383932,6.9321355727367555,7.038068569315041,7.767014217886187,8.170512543905867,8.219691944209005,7.830361427786893,7.597295105563725,7.859751390165322,8.419281847083576,8.175503296048653,7.607855823655549,6.965486321506987,6.715564036075424,6.988238298300676,6.9679956328438255,6.357115444488685,5.582817018430513,5.464040219927099,5.592567916251526,5.730430398815843,5.274888975799112,4.699359634415571,4.792588642599688,5.404168487134661,5.793258061796829,5.055100782716827,4.370915771841667,3.5670724807351655,2.987535006232114,2.850277424167597,2.7616324108002472,2.750577683993534,3.2166441066400813,4.02022703726187,4.329896836604009,3.9527213412799957,3.35858192524414,2.512776796556443,2.033455871414892,1.8397695556707097,1.7509562521948179,1.70134978757858,1.7836550492626433,2.060545873819516,2.312360436325872,2.3815826933838,2.128688790690704,1.823270857991391,1.5764872933804548,1.3688347373009553,1.2662215486845465,0.9231755446949466,0.614338292712666,0.2131657411866913,0.5596447622729397,0.8535394764141266,0.9067745563255019,0.8687497906593054,0.7587779478514711,0.7068821969557473,0.827518396790051,0.9780484483818038,1.2610957158701808,1.6962936371640454,2.4030375102031285,3.037698346174927],[3.9834740632584222,4.299215005652181,4.061775696743357,3.5344597756915257,2.9278262918034246,2.4576668063729628,2.4147194925174373,2.499216514170305,2.9069006421106076,3.732122874889587,4.923736096691776,5.7700072066732275,5.715881999118046,5.36469728316973,4.162490030266562,3.1295578889655755,3.0922603916639138,3.745443364570412,4.152985556248884,4.490966446487101,5.026023076281033,5.92658704729161,6.499724958531652,6.410138108376163,5.716270998226259,5.152218594737358,5.286135341398602,5.903242192619801,6.282504458253039,6.230507031564999,6.309099503014639,6.995821362797384,7.818484478280709,8.11401585569496,7.440932864117279,6.835437106585468,6.644254246805143,6.944010352455498,7.062023923266392,7.156720759482286,6.935760152499859,7.34148545122129,8.212374517749002,8.59812663540723,8.57374531265571,8.015639684803443,7.531208691497826,7.560872849901,7.976647345502912,7.791905308659094,7.364200576006956,6.96749044730488,7.020545782816429,7.391794333200725,7.343342260941372,6.621987187093612,5.680252433040122,5.282348175061336,5.242054341587991,5.305681733141586,4.994518088999263,4.695351153474796,5.129020488463808,5.851816133542281,6.23635391409385,5.448526569411295,4.710596780978331,3.8113226682159738,3.036126669168377,2.731328603426907,2.6774208652986835,2.9183609970316087,3.535077422426624,4.375275111529534,4.654265336544081,4.249336079293327,3.6460188457768616,2.7431755876828645,2.158910007502843,1.846973054400895,1.6865039487890943,1.6907130675609476,1.8620799788756115,2.205419794469564,2.42903901152636,2.415091038385017,2.077174300819469,1.752682695781429,1.4873829327773547,1.2619194195230796,0.9512155072428864,0.48003770746962926,0.1986867246605532,0.37274930145745827,0.8156977688257844,0.9995486490412199,1.052463112711095,0.9103206184734095,0.7634885702242622,0.7202737388312661,0.930713138046385,1.1351241855161192,1.5533005616536604,2.1647388142212862,3.045640826741727,3.8083327859339704],[4.369690237452095,4.670609360752853,4.3799800065995225,3.8125242992697217,3.1875719500075577,2.714833320466747,2.6943983106017213,2.8170178831026114,3.2434467879622355,4.094303124670835,5.297838180391226,6.106913108595672,6.007355098755336,5.616559572468867,4.400285621660795,3.3554385527080424,3.2620824456488346,3.8757125912366934,4.303442925639466,4.643091127246563,5.234993522113824,6.112305416338309,6.637042466334566,6.501638834602611,5.781296904932042,5.183627427070383,5.27495510975017,5.8790548365191455,6.280882008436592,6.25093195009597,6.357184145603068,7.026737383330967,7.798332321697908,8.04062229165222,7.344460540425698,6.735322472730601,6.5485988005089375,6.8418478026547405,6.998328862587993,7.13110390251188,6.956713519010042,7.353324291810414,8.151997978721859,8.46181633924073,8.376000088330215,7.8060509652683505,7.334152928621421,7.383668030459794,7.82642313823089,7.695743020977961,7.330444694564096,6.9788736133987435,6.993653697653948,7.30112833207879,7.204488136551863,6.4860506344179045,5.5483173362471305,5.142857529499727,5.128392664951432,5.219814013466201,4.98703536186191,4.737086110733326,5.161906872244128,5.807085306380458,6.093827073387689,5.254546173084513,4.504932489275354,3.6395127205562714,2.895902404221659,2.6306554995197566,2.630287012123656,2.909548580453469,3.5011056390735384,4.257906495730779,4.490851146951689,4.070147214306353,3.4831938457834912,2.623336708033939,2.0863188865373865,1.8032822016109338,1.6723254449234426,1.7145671666102844,1.8804882330601838,2.1640989654906777,2.294968457009633,2.170949713509562,1.789819823783882,1.5060840398823023,1.2745186516078777,1.0670280073649063,0.6587705956437168,0.2087815303624094,0.38765664717065673,0.5446821429792195,0.7985109126352095,1.034866750781915,1.1097617079654183,0.9153567952216942,0.7732356164192814,0.764495492564012,1.0321431991920593,1.2664862598591493,1.751341562528908,2.4471570029733334,3.424024972764091,4.250010833937973],[4.051884525249223,4.286157011148357,3.9373927383723735,3.3667125912764075,2.8379758370577197,2.5703954358260606,2.6993900525826975,2.9478736662805387,3.274977452563506,3.9114529187789846,4.944327027638425,5.6217760731739785,5.439123695811823,5.013153096604806,3.9539944190475884,3.382265075368454,3.7848968104577603,4.562438809516801,4.956594925842547,5.087622287126335,5.258908645511879,5.750105273414749,6.064082090329947,5.899753781546463,5.397316459682722,5.266125692961948,5.7554804306051865,6.594027052355105,7.032142381896898,6.785111729013816,6.478355673607263,6.685550511933983,7.128777457668786,7.252469548016235,6.743709668210156,6.511549983648082,6.750102409823621,7.382513229699797,7.613037106894013,7.760311285819043,7.273466432882232,7.155012717475147,7.519533027307804,7.665197502272268,7.553167047256634,7.261668555982169,7.241259491032595,7.691227604516877,8.397200097186508,8.289023866210002,7.840183507559522,7.191415566517311,6.615014485471862,6.568767855586776,6.373206853583094,5.838409522360195,5.185251753162573,5.217631443261467,5.513383743179291,5.768971615908424,5.484102437936951,4.912336432863968,4.7755562879802,5.0134255479743,5.042130964943484,4.165759130304801,3.4890429547212927,2.8978969897270273,2.566059645785124,2.6457960200369075,2.6993317587006658,2.6886137788227127,2.9736889900422496,3.42901140706667,3.571374433487424,3.1670273547491288,2.6495986540020318,1.983135945635229,1.6795500947578754,1.5956082558859248,1.6026707051569644,1.6522720253807097,1.7129473839170088,1.7832750777436677,1.748096843650882,1.534016677979057,1.2613262448436635,1.0441856239104328,0.8938213800822702,0.653955883794578,0.20720721129965572,0.541392914370451,0.6307779918972385,0.607889302382557,0.8389940152407025,0.9761673998813366,0.9986680075198362,0.8162958758206953,0.7928749509776936,0.8605917823313225,1.141920869527318,1.4023688281228677,1.7832762386552534,2.3719956148279913,3.2670197531332215,4.039510476805113],[3.6070196373336483,3.763669422595881,3.3899129990498964,2.8937220748871084,2.6381688994250476,2.8044692038973524,3.1141675003381404,3.4556993545907932,3.5579870600476218,3.797151143047766,4.520495023179171,5.059282070888737,4.8488419340904985,4.480026951642507,3.8141849189170403,3.9660906311694446,4.825129121679516,5.712604171686545,6.013762482561317,5.896671287106417,5.5505547237860995,5.578246668800389,5.6790706651603085,5.591603247423714,5.522273763778497,6.018112741304558,6.902390657235753,7.90846450799562,8.318828036973255,7.821470069009268,7.0298763935744,6.657711385241678,6.684941755661654,6.712852066890483,6.561440598622414,6.856762986534757,7.562994456117695,8.49876853495951,8.740964608436839,8.843962625710674,7.995501218787423,7.269946354827983,7.100259598971501,7.102568278182038,7.043819923700666,7.167804463313046,7.685580989201756,8.52511298782031,9.436856978061579,9.3006666168312,8.722489717372857,7.730200164316084,6.502461690928169,6.044888066978864,5.775813434711955,5.538037978457161,5.318193819449176,5.819858824418867,6.366714548047462,6.729072023664598,6.340038424475758,5.434914773778392,4.633420150962156,4.32448192939354,4.020724025508706,3.1973736455507638,2.71432802174312,2.5893905811331805,2.79797102836046,3.1370445709221726,3.153480025645085,2.784230329548677,2.620504467274854,2.6362695077949097,2.66725175395431,2.297382424581778,1.8735234768520341,1.516974686564225,1.5177461777537478,1.6039532678658874,1.6700801484921606,1.6456281021387358,1.5403364967708764,1.339203704683716,1.2297664991923023,1.0961042499400273,1.0521990476869045,0.802788912080564,0.5438124706834789,0.19216580617354165,0.5059486410198009,0.8070867737541566,0.7151314192679223,0.7070829816830629,0.8924663287794501,0.9450256511144326,0.938837687788382,0.8281524810746902,0.9585805478360261,1.1565164598237228,1.4835329026805713,1.7840568049188001,2.004978028042402,2.2969787196563383,2.9614331964758582,3.639572645457566],[3.0809733866233193,3.151540230078298,2.8506847553249504,2.642535023565362,2.9032551912994973,3.562457709526581,3.9817075430116677,4.329893305880733,4.148001451974372,3.855867731748201,4.089570017816651,4.458656223445814,4.301611454549357,4.1232176381951104,4.111332872396396,4.98812140663625,6.198920479731821,7.142201685671107,7.31201111936475,6.949783745313189,6.099832261433291,5.665098186983934,5.5786243001184275,5.663139616822714,6.115440901621661,7.180269114929457,8.36713311976948,9.473941965829008,9.8238567252017,9.083585324762863,7.8557368142554775,6.940250846838813,6.552697275497558,6.516839452964878,6.816634085792554,7.6339896502148425,8.717779768297797,9.878029074414599,10.092610778927174,10.115767245063502,8.940180043678076,7.687399581438053,7.030892876257702,6.9598839500822836,7.027554849764231,7.59090492557086,8.577864661791457,9.697871093473584,10.718603887472177,10.516854710268895,9.798785681202835,8.510521927317537,6.788696412126513,6.003184883979757,5.740598858731603,5.844559190560221,6.026233737328815,6.847303927594514,7.512355190069611,7.901981281881798,7.380657591445037,6.215398983134554,4.884721888620066,4.084310188889212,3.4797430112232917,2.8214967079461744,2.617100582295288,2.9234004455999627,3.462763496496587,3.8730079008285063,3.801101132733014,3.14836808647149,2.583267836213407,2.1127695285179082,1.982703001428679,1.6545941100059525,1.3404138433236554,1.3362480446142084,1.5773118832355317,1.7463847068367868,1.8262131147357257,1.731567047807876,1.4994312314405893,1.0816254831025305,0.9589211417347056,0.8498100504576047,0.840818084006134,0.4861936160026604,0.20370875643333988,0.46879855346669325,0.7510365630331287,0.8607299669861256,0.8959099420209039,0.8444388703377512,0.8905400523043872,0.8948022615783707,0.9489551536027487,1.0346353458436317,1.3482665542084116,1.7349768310572427,2.107728654598397,2.4818727227367248,2.5274585270750234,2.3954129507511164,2.6060418226747526,3.0946290138405708],[2.911003460678365,2.95279229519967,2.7542969243532354,2.804903706131433,3.37316406829448,4.238067531208104,4.686999744714788,4.990024113470486,4.632425311762449,4.050511670051158,3.99965166803841,4.299235087125123,4.2327564611781545,4.229299922738127,4.588633285882906,5.7504954611798365,7.084948938378693,8.017986823876077,8.083607164714453,7.586279825144168,6.499691301923487,5.8734883356563445,5.742602712212465,5.957470478868109,6.672125170102,7.967320537948404,9.268000061932497,10.396094202056572,10.68622575350662,9.803319161170505,8.354714244204319,7.18567934550247,6.60925722956723,6.567837688231789,7.1185349084358664,8.182620871788982,9.418444293978922,10.666640855180693,10.84322495058109,10.79823553449937,9.447001198127543,7.944701896684907,7.070734777100854,7.003371092328447,7.167444960042123,7.939375792760363,9.122920915708326,10.344667341866566,11.383643140016392,11.126301569914476,10.323426935312648,8.881558074590034,6.952277232398839,6.037083999929404,5.811062471809102,6.101709404532638,6.48899819555193,7.443368749057964,8.142225465244117,8.52848187484385,7.920521713978941,6.625720336362046,5.055697040712217,4.041612929461033,3.3258902512102946,2.8440724271520277,2.821154489884039,3.2827037626737408,3.9346818427767785,4.334222795587077,4.194635914957765,3.398455754659333,2.644634390798518,1.9032313100981222,1.6662683054748915,1.4138359246502927,1.2116489055875304,1.4045322767616555,1.7192002045306336,1.8957223254352171,1.9605103039849174,1.8427943885873717,1.5706681672934555,1.0474379566668852,0.8089686851160461,0.6598094751987371,0.5254750983759556,0.20471319276967884,0.3738668900331816,0.6894224329816055,0.8791921352715244,1.0033518662451968,1.042067714180646,0.9331856703638187,0.9424418424167647,0.9750936545821322,1.0539336634304914,1.2411881931527828,1.6370216620159213,2.1575610109108663,2.58293773673232,3.01487284833942,2.9632482061182994,2.593214161540404,2.5133756571780315,2.8802041302320776],[2.9843718064788254,3.085544569248678,2.8708423414972435,2.8751632391776765,3.4171162611966057,4.282168881246869,4.712940730109008,4.976614930490995,4.559115880554748,3.9638272894431306,4.002200036898253,4.412928709292776,4.374664590043297,4.3791624777046785,4.654718390930207,5.750629527586898,7.0728724025651974,7.971710225053742,7.970581992238705,7.423363097262757,6.3026161176575775,5.719263051916831,5.660111930718303,5.906197364850029,6.606876441773775,7.888006510274526,9.187681755261885,10.2964988045125,10.544979314547847,9.606981683839537,8.106368660456196,6.928945858214026,6.391088306302527,6.39064684584671,6.957665560681754,8.03194433886602,9.272988378712538,10.523777092248753,10.669224764426405,10.585556861597137,9.180739691898284,7.64925381988051,6.797030442883677,6.784706425592612,6.985523195440787,7.749328884771684,8.937756301766116,10.161857013907513,11.183573348573903,10.902278087210512,10.075236225356196,8.592905097947376,6.647668343149793,5.75289849968538,5.571131313972576,5.894218137112617,6.329748599692522,7.319397794622936,8.018333167150564,8.403275585833839,7.759412565582401,6.428663958011376,4.801968568481117,3.775423532776582,3.086250997795043,2.696201861216268,2.75538728519013,3.2667333932384914,3.9721986563021816,4.355785114383948,4.173162012822213,3.312778237438578,2.4952385486213857,1.6812895614291223,1.4681138909418427,1.376450711233576,1.2675805556401902,1.507384069796162,1.812850151391545,1.9838438856897949,2.045242196815396,1.917923596039188,1.6225235038427466,1.0757279826288972,0.7338908347955516,0.5142904349069145,0.20699926942667216,0.42777970459668724,0.7378183686170435,0.8797041236152632,0.9567913960810503,0.9837208978078731,0.9842165515056245,0.8778399558208477,0.9759297046036393,1.102092012049223,1.1967324128613392,1.2968392871479495,1.597942197579571,2.1181483566612185,2.542194930133524,2.9883917533587994,2.8999804486516383,2.485798509818217,2.462057932518144,2.9348571343030905],[3.4825621107882996,3.7232338541428294,3.4011280932417853,3.06622847147972,3.1744140551298594,3.7372404423918946,4.059380403672308,4.265198366556392,3.9442475027822286,3.786649375426309,4.425204171174724,5.118049105853303,5.028895061457997,4.841268126386508,4.4660199138984185,4.951634802596602,6.010061777017447,6.805103931286045,6.788995230781325,6.329927967405705,5.540693156728041,5.397348728838897,5.568974362822405,5.68183940600582,5.934564917985622,6.774010719760923,7.844771515237099,8.845538602134704,9.062762017268966,8.205034693804889,6.925714143379566,6.150387300993312,6.010159883466782,6.073520466528623,6.22499754030822,6.888599440442233,7.876283239936516,8.98336374630656,9.101621486877745,9.027045963780886,7.7736981112734505,6.583309429574352,6.13683069466423,6.212073523237312,6.3131798737485285,6.706755352509912,7.577380628112793,8.629827300231387,9.57524494128649,9.322309841267105,8.57777066910602,7.248857854349993,5.6262405021756265,4.9910307795193845,4.810407016885213,4.896459578624997,5.125995785153674,5.975483860154192,6.629932292677166,7.02340465358128,6.4420442393911665,5.241903744335114,3.8980471736026066,3.247792708801299,2.8238145518729776,2.2214368808485037,2.0733554615267034,2.4150729684639143,3.036634948774854,3.3864188438500413,3.2276464662005773,2.48438464062062,1.9174880086989523,1.5526044665891627,1.608563146498262,1.5066621708035386,1.3529204445632177,1.3791064090513663,1.5531013947436447,1.6576453872840877,1.6442350460139081,1.4752911020580919,1.2516406576938235,0.8646841248872343,0.5100156993939851,0.1942731189547951,0.45053615177254297,0.7034164370188803,0.9148258040843139,0.9114588792606941,0.94349663767369,0.887363117974764,0.8505499148951804,0.8222841631624355,1.1047179021223976,1.3418885266097333,1.4491745380795342,1.3766625760069353,1.4359600921060063,1.7856980308495631,2.1131406360895824,2.4926120194454833,2.3985988964783482,2.1747328396043786,2.625996398818774,3.4235379599642926],[4.278601803241937,4.652608600945271,4.2725480417454085,3.671388231531903,3.3057073963787476,3.428188016177348,3.6204689241134136,3.7872382694837063,3.7118414168470055,4.146160783526331,5.301925877708638,6.1995197998931735,6.095473879946944,5.782026803557829,4.86863601723619,4.610242076949497,5.2325410966648676,5.868701001515376,5.876768052899248,5.605198792945405,5.331830579394899,5.717861824141696,6.123694410292001,6.121518537587806,5.897312670846136,6.137357246943515,6.8515129298201956,7.67157404454969,7.8497605627545415,7.138186564808805,6.212486848497358,5.9732177887607945,6.267405168643656,6.404842957625284,6.1392171500029455,6.28447594539936,6.882707468219735,7.7580788514535834,7.83062919052526,7.7605140138742845,6.725654519213815,5.990513035218795,6.018416030461967,6.187319386248944,6.188375021584905,6.156852248075358,6.602233841356331,7.409454974691025,8.235956822889694,8.020000538732594,7.376260028605851,6.2428329813352565,5.046125903513695,4.7352794529264015,4.573116138209971,4.377900947723127,4.315592649489561,4.942692432839242,5.512393168631684,5.899802899432471,5.397178734356539,4.367982196441679,3.3696903027146266,3.125500172629009,2.964217260371055,2.26724401851334,1.9238048038235698,1.9814340138935806,2.424473839761771,2.7136243973536303,2.5813531180678124,1.9710788648428557,1.6489095400864728,1.6317871899476784,1.7981316377968268,1.7075476564430108,1.5329536109028048,1.4068816109870763,1.4620145438350096,1.5320447260275047,1.4526966517695785,1.268306177002346,0.9461549295416496,0.518759285297297,0.20650890592704393,0.42759475244554107,0.6856344440473067,0.7463868368579963,0.8294670959376078,0.8188948474568268,0.8226583400650243,0.7814456442468891,0.779663047343839,0.9027605617621367,1.380751305687196,1.7773850192759795,1.9378527266306895,1.7169812753892895,1.4498437197272587,1.4876017200357383,1.6762342762154279,1.9867034995940571,1.9946932068927428,2.1523097255248427,3.115103076507031,4.178383141113348],[5.534424471326789,6.024878226393469,5.629004283147816,4.846008069258832,4.0770798409786915,3.6410204844446303,3.6275595241571192,3.7472488311173766,4.075654901243286,5.158676489283984,6.728921342918847,7.7808528365597835,7.679698789535037,7.280920576239097,5.945423009425472,4.883858705226678,4.768084271247511,5.082764102727473,5.187896159719935,5.292046762684446,5.814660054146618,6.766601146807364,7.374412145945131,7.265167986082931,6.555218419058556,5.990953421668018,6.087884723619963,6.540301339940161,6.652892202263003,6.270612726137841,6.005652111123903,6.515861488854259,7.267514970436143,7.481224202772738,6.807035167298891,6.285474738960229,6.230923622671343,6.645009334062226,6.642602722816522,6.585822359790729,6.0030094619276095,6.015504152917671,6.61464622000069,6.863193091985622,6.747643263280387,6.195301025302243,5.964365867541373,6.296874476372325,6.87812540393274,6.720327954663152,6.240401791877129,5.468403404237025,4.988636533184718,5.107712922542028,4.980795109977637,4.443296641788333,3.9199189848185902,4.052960604422704,4.3913185872282146,4.715830349465151,4.338483418813977,3.6151813617471498,3.2158776992100315,3.4650578474930183,3.5342199947012363,2.783979928821429,2.2595602839338205,1.8838289767854706,1.91052225725621,2.0533108715738377,1.9627701667795479,1.5961324611264145,1.611653980337372,1.9132909592544631,2.1207508223289957,1.9715054582042406,1.7211811272895083,1.3885541784703457,1.3428172593096173,1.4214861412419122,1.2209745942477086,0.9697916002077206,0.5606012571563683,0.19446694615663637,0.39902801759262874,0.704018593539451,0.772824409276373,0.7478445935084509,0.7603937531220992,0.7159378166608017,0.7146611614315913,0.7709564740835636,0.8667679637599071,1.2151006623694391,1.8780739100546815,2.452113670056071,2.6795427171677098,2.379762483688019,1.873504468842815,1.531747421553349,1.466155140847309,1.6401796933990416,1.9833072536704976,2.727695304098624,4.104860666579652,5.371374479493882],[6.556782405782511,7.094632151249555,6.690643871742143,5.840235086005598,4.918179892701759,4.2423132134296555,4.158402963052582,4.268187989325475,4.844580656632119,6.215199722076424,7.9480930856419825,9.043812887284343,8.934834078056904,8.487885456542772,6.978386156791032,5.569149351309914,4.97140919394704,4.995287691080352,5.188837564404993,5.581411811615984,6.577086502665265,7.766989733150695,8.432775503322127,8.251413499513209,7.299729905472011,6.274537936675443,5.901473607358262,6.01500275477785,6.069672515845263,6.003392653308957,6.254418786915205,7.183808671467116,8.128427892981037,8.351345242170654,7.475686414904462,6.58146138482969,6.073749785259516,6.092579213156818,6.046673424387123,6.020230292562834,5.8588372062241785,6.3765872882287775,7.239918022942159,7.485108754400651,7.284107918305305,6.464019261416629,5.7970583191511595,5.743092225338449,6.102142484907293,6.013237572866863,5.704553814415445,5.267310422714897,5.281412323327527,5.602826672948149,5.47712195165976,4.789361535330646,4.008431713177132,3.734763671589543,3.835397854849513,4.076137830946607,3.8452259573018086,3.4322462370889357,3.467392525956276,3.9115321454252476,4.01808111683693,3.2181089863789665,2.6025328650823414,2.0199591416627447,1.7328304328278994,1.718194556641899,1.6798508121963143,1.576879965278799,1.7753777675881937,2.13890555973459,2.2861600461339324,2.0305585016876035,1.7177378335647844,1.2506308558679322,1.2032521247319137,1.3062164526796904,1.0271666966252608,0.6502326478575174,0.22962154600437426,0.43658703231463186,0.6475870341463249,0.8546693277995357,0.7755638650335337,0.6818269939152848,0.6606002958369364,0.620990600228853,0.6909405635634942,0.9023884844006375,1.1268186406747447,1.6134812911768894,2.34164944141158,2.999401764109493,3.248949924218646,2.89989065854678,2.3173783624234274,1.8748604671096472,1.7227275043053967,1.8370056981298535,2.4230696934605027,3.4414701666033793,4.980046381383983,6.346832843751875],[7.302277994317701,7.849180140226092,7.439728149877545,6.569738327602122,5.615599246474616,4.878448508961656,4.792726949202224,4.915110156334354,5.573117046852627,7.040270664857288,8.819703713787975,9.904256313922186,9.772688254447369,9.291045804008458,7.7249677939290695,6.206901895298936,5.404896212859196,5.2658718190308935,5.500105613565802,6.021103791341806,7.208138726580212,8.468821309611174,9.122744746667344,8.886855032258394,7.826392163122234,6.5996997212748205,5.983324644934303,5.876831525965984,5.875288516655545,5.998616182872868,6.530158713222365,7.635615037034221,8.635606632197808,8.843284978888628,7.883461214309306,6.831493664113117,6.110881408046713,5.894369695067261,5.827752629912669,5.823847182528391,5.92217115876837,6.670613199711898,7.61146423209649,7.820731217395535,7.557836082133652,6.6206432911509285,5.746076040636662,5.475116630038764,5.691872733685263,5.6510010476736445,5.465893908620656,5.246291361199619,5.50320672420175,5.885619976818271,5.742254632138363,5.009308774741739,4.140998976804947,3.6612189320269626,3.6203593637415237,3.7976181069366506,3.6751906161822436,3.464984834543426,3.7011883501723104,4.180164865147993,4.241417632619801,3.377152524611622,2.712178093311938,2.070127324944348,1.6671764552952155,1.5722643801748424,1.5820963238879349,1.6292061903007198,1.8665864889247454,2.1874917361242425,2.248373228676863,1.874365175183889,1.5378689255452784,1.0877502193998283,1.1296378686606756,1.1989895809913405,0.7660892392219336,0.20356944286720247,0.45183512410111204,0.6409784204006717,0.7470974390515278,0.8820070642069356,0.7684038362717553,0.6764160781659372,0.6702299743498182,0.6772340554494783,0.8198424094979608,1.109577331889603,1.4307161276021907,2.0047831591092398,2.765211288823534,3.4423153283870818,3.6813078183444192,3.2771537330005556,2.6703577616612155,2.2625867234557147,2.1630854587938084,2.284130651370423,2.9734992999391556,4.08031000256047,5.665965419558253,7.0740731323432255],[7.2298501902765455,7.720866267792922,7.282341341811691,6.423118308955052,5.5244856378555225,4.890628255140151,4.9004219527784,5.063682756189416,5.67756497581966,7.044457049957593,8.731823927820992,9.725378043382019,9.532602094339977,9.013111955462735,7.489258262311259,6.112363574699753,5.460311788535801,5.410329993784629,5.659385552123718,6.112754793976934,7.1386567546474415,8.24616014973123,8.794039188571054,8.508763078923156,7.478129154846568,6.36971259952864,5.893081635238491,5.913373506160853,5.947879409347187,5.986375341215849,6.361603645645641,7.305134964314463,8.1699778779225,8.307855935230014,7.384648205247349,6.440945067580594,5.874979654932041,5.79976293099367,5.7989077145038035,5.825012454357692,5.805020783007445,6.358348269403434,7.12300996352806,7.240663923731784,6.9379843750779635,6.100929308704777,5.407470231363631,5.329670025029945,5.6875110103911695,5.690714829958947,5.503744460518828,5.195845431616494,5.225275523305049,5.46859205853506,5.284666724440185,4.639607471173844,3.89010446367146,3.5900776279231734,3.691916390766674,3.9348730153959006,3.8397172093870124,3.5692034735894165,3.6361133948396724,3.941359296884433,3.8611556290255615,2.9667303099580113,2.3354985843900873,1.853906941895189,1.6141055795376276,1.6169227995858686,1.668837803631468,1.683157136888207,1.8135299040484325,1.950011261527075,1.9246506589045353,1.5341805596956206,1.2361685173191928,0.9046295834210604,0.8707336025263247,0.6925720590609631,0.23250939104417367,0.606418961607545,0.8434601272583256,0.6874571720430079,0.7992478034936055,0.8910111726891541,0.7643851489996195,0.7147238786426269,0.7758912326730087,0.8480441406794069,1.0193393544141518,1.301781656813447,1.669568131489503,2.2008960652365652,2.859209359873306,3.433755889685397,3.606710143629769,3.163329316009549,2.5982346532368936,2.3052860679394005,2.3821253381681475,2.585251791847136,3.2322834978176944,4.2201158958648906,5.686501970597525,7.0344164142821555],[6.588414536091369,6.9896202624851504,6.534469128485025,5.734064349424638,4.999318478626516,4.639086153840736,4.80124361840042,5.007925274890541,5.4290257952951615,6.503235006090344,7.9832039495247935,8.854944679229472,8.614255817301913,8.093831435787447,6.7365494650467825,5.74084343296996,5.520368340493599,5.714000851850418,5.911935220877677,6.127033509600248,6.7235795511540255,7.523441837142196,7.930205884433785,7.650505220865006,6.822940996325577,6.137076567502317,6.082759762044497,6.416688223955496,6.501364070724995,6.256586312863409,6.143446266432625,6.630454584264981,7.213894113922765,7.259324750637294,6.497122266987408,5.883970533977845,5.739985179593178,6.0272287567149725,6.095563719633648,6.11612832528414,5.723319942284229,5.775999586267902,6.188901937053359,6.19936761473739,5.911759853080312,5.363148932355517,5.128290832813683,5.460926980642218,6.05397115164515,6.049170306167938,5.759743019135714,5.171303207835213,4.691788999294908,4.678175899262856,4.464159173787842,4.013419881373617,3.5298493844903738,3.626966707518992,3.9752052288866166,4.314381617622102,4.169523646311159,3.692680454502089,3.3878745280889375,3.4034069876358872,3.1490202110100984,2.30956861114072,1.8246996567647973,1.651659100425473,1.671866894147738,1.7958997669363579,1.841214845506758,1.7062516898190188,1.6640618965251879,1.633227870529502,1.600177431850333,1.2846713913474663,1.0069938945489036,0.739678469842291,0.5659779811257394,0.19102623186807258,0.47266926590038094,0.9239012613736588,0.8662364094485798,0.7240280728107565,0.8153858666468604,0.8567577288269073,0.773432671093535,0.8186638663895628,1.007499167975498,1.1726619560431657,1.4091188264086139,1.5875399606215528,1.8651836286097394,2.1946012088430065,2.65964684253874,3.075652023057725,3.1649452322648193,2.7243003362484854,2.308764727980345,2.2417638827121853,2.5416821748675567,2.8820100891583467,3.3622831381697575,4.02258253686903,5.216767949365801,6.42859339531879],[5.743830671713728,6.056467513871033,5.63991566406229,5.008843710552703,4.62366059498913,4.727660296284484,5.049618170636005,5.26166117281597,5.325168588143294,5.904595147384072,7.060048613342993,7.814806367271565,7.574437304920129,7.128299998272406,6.1178135464208365,5.736266907027581,6.086286368241442,6.515130279068974,6.5816251173917015,6.457534974023977,6.428454156226842,6.792504395264511,7.037422689286327,6.834983538856604,6.386782118700359,6.340404839846371,6.799597701180606,7.424072240057097,7.521158790880658,6.943039820715985,6.227091468305593,6.076431648274271,6.267998524127024,6.227321003383695,5.780915419633588,5.695181302338869,6.095790267213355,6.763209874280534,6.856086371989751,6.824867246131845,5.999744008885302,5.4118119527101545,5.356276422778932,5.284206219204935,5.101994750815982,5.002443680472769,5.341970077637107,6.055367803376935,6.80217342830694,6.7289002707956005,6.287141288360307,5.373574512663225,4.313471386561715,3.9720591629269744,3.7752128001436254,3.6354481922259136,3.5396734993264967,4.0477552993055195,4.564008629668623,4.944705751981015,4.68103271984763,3.9512764517693313,3.197196041736976,2.863466046193795,2.459109240131235,1.8075231337453044,1.590306895307345,1.7367314114773127,1.9602250388648506,2.13112883352957,2.116622020850086,1.7863754945165513,1.542689778875281,1.3990385788043382,1.394532444561633,1.123143522770823,0.7721954228182848,0.4671718958237891,0.1975295359526912,0.3412673836528143,0.6091821204102957,0.7251948899156985,0.7829562832904198,0.7773602841701579,0.829609966499437,0.84991724940331,0.8433530360841338,1.0221589762714525,1.3553692130588897,1.6384522046660133,1.986300375322306,2.1222294950847336,2.260061559218299,2.263626956682329,2.4216255058487257,2.629903088018582,2.6509138615221395,2.2930339331521536,2.1874750853902953,2.473731428823956,3.002861488280599,3.4949945007761007,3.730605665400735,3.884858888813888,4.599044260243367,5.60049775837727],[5.090769088856124,5.330069580723743,5.008996218015812,4.641483917209708,4.684495515999851,5.214622135077731,5.6250542329418485,5.7990859682459766,5.537239355148281,5.61090124205006,6.413003592791426,7.076926305933565,6.887347904490178,6.57885616534172,5.985630854230479,6.171369200519626,6.9123691414305615,7.444938834294916,7.381196726974767,7.004399857997118,6.484984327584545,6.495842060058901,6.634538495052308,6.568263110698637,6.520721586820492,6.981767915793178,7.75709787754345,8.511828563442707,8.578100765520645,7.77665711859469,6.6748088596371105,6.064324337524465,5.938784473638632,5.855750894111843,5.742571383499729,6.07543856837157,6.777648087637888,7.616999639560275,7.675597871389955,7.5612159726132,6.46324016351068,5.464602552803617,5.071054293878242,4.976485806944981,4.919967176003537,5.16240726969163,5.828181792720666,6.699224424836328,7.467656368214238,7.3137781578897245,6.757972876200289,5.65173079804925,4.285271258780733,3.753418776637667,3.595065882710838,3.6914835880286794,3.866856637658279,4.550755127746491,5.0862935138421586,5.436087607079252,5.053594630852194,4.164079010131563,3.166093270010964,2.6222355979140604,2.1639334057758752,1.758326767066054,1.7663756200807506,2.025375717861014,2.3130963474571518,2.4498587411423527,2.3447218826624354,1.8725303168008647,1.5405275441206563,1.3444990244893407,1.2686303967546235,0.9217701685654585,0.45162176296896256,0.20394808147727522,0.41943298646868593,0.6530219960758242,0.8050182999458527,0.8270099278759778,0.8758288340122518,0.8464117592773933,0.8355886298559643,0.8404598778905278,0.974063424173794,1.3218871007231339,1.8081217788223296,2.202686333272702,2.6154708772687107,2.7057748728917352,2.7161166856235326,2.4383075733712944,2.2860774769782592,2.2831225908723147,2.2773083473460103,2.126652517357961,2.4148792397409395,3.012596744006922,3.6758533163576086,4.2485431335728725,4.278882897327829,3.983674209836857,4.172794046046476,4.9253669188482],[4.777495658873225,5.011041619954649,4.7842553699246,4.603650864247362,4.89000190790752,5.615262095489672,6.0325886081212685,6.147079669627869,5.690250832354052,5.488556134842049,6.120139415569777,6.787777699573134,6.670913937462163,6.476893739191079,6.1182641368154895,6.545601144019435,7.436472699770209,7.971445448454396,7.808862469696343,7.302919430120369,6.5638166878479165,6.4390996227419075,6.562062442541778,6.589081809699379,6.737229503477133,7.404546768718766,8.291467610405697,9.064989862461202,9.081508201665375,8.155331962278709,6.883891784090126,6.099600883426829,5.855601843869346,5.759032186258583,5.77141732496992,6.247382389880807,7.037321695865107,7.917694993036952,7.922661935653933,7.735522073275823,6.4886291088482455,5.325918876755236,4.817503416076574,4.7272559111213095,4.720990246538317,5.070487013621804,5.86061643877569,6.788099159188968,7.543569114751087,7.324462604259097,6.705039274479824,5.503616457666776,4.039455811629455,3.4607269715156415,3.33595947970298,3.5500278127129836,3.8889267680228152,4.635406572310403,5.16303579454741,5.475577390245479,4.9869675403101095,3.9966200165340067,2.8934868476549274,2.289487586778119,1.8744361152161055,1.6284068437718473,1.7748551369089,2.089203257912958,2.4111754316474543,2.4858408989693372,2.2560991280471927,1.663169498783639,1.38085057439939,1.2640639913091813,1.0872002814855157,0.6250450215595869,0.19942757304956205,0.43102612498113424,0.8183022435129343,0.9964943249142866,1.0396625624909892,0.9715821049851994,0.9324639865694705,0.8826111004567435,0.8866689597864349,0.9473826174422538,1.1463138192374753,1.5930985993674538,2.1655926735320925,2.6066381247871546,3.0277028876639407,3.0601113570264644,2.968125005966548,2.5305846381819936,2.220242517584433,2.144378741193133,2.181476304078145,2.207229726856425,2.6936003889360043,3.4246209457479635,4.121480111506545,4.717717163446536,4.604119931512299,4.047485592739773,3.9395856167019754,4.569764926202945],[5.094138434498477,5.429067737238115,5.1475776572587195,4.78762363692117,4.837910671948853,5.383434211188513,5.737751127245499,5.821981146697069,5.445186394812968,5.521421229392879,6.469207052102717,7.303056515889855,7.193702677018943,6.944510755713985,6.308259075177717,6.396931395252044,7.091588037437369,7.531071403648968,7.363741425533284,6.948450793382744,6.473022952498903,6.631999326912493,6.885524914304107,6.8571802456990625,6.7623845331577614,7.135585546100652,7.845096003676793,8.500378633908044,8.466404318090882,7.597725344175116,6.499608310797389,6.010883265095112,6.0107054072882224,5.948550406948908,5.704868746493396,5.856375147904588,6.421480257779537,7.164922801618133,7.111880520483905,6.896272611621077,5.715407721235291,4.770470478330111,4.5309005217282925,4.483997891296854,4.384887156970807,4.445134778744859,5.018612195678735,5.846296784761225,6.548931593764813,6.330113803602462,5.74897028231822,4.599121205800146,3.287179931976422,2.883186245707546,2.7910101393291225,2.9249668725851166,3.241434666730167,3.940604984704546,4.4355852383156105,4.731642297337281,4.228854906512806,3.283105373926969,2.2816009985779235,1.8394044779171708,1.5567632197757484,1.3459987462310428,1.5253426734384965,1.825063980405359,2.107871256392025,2.101408853928914,1.8209133057159106,1.2906678779399463,1.1090092756714558,0.970679075425605,0.7273514749285679,0.20513600434366117,0.5578165944270462,0.7711990100579725,0.9521235596567243,0.9609351544662118,0.9249115187757053,0.8364741210110765,0.8058495234261356,0.7642926065066918,0.8403826432626412,0.9779737657087204,1.0793015472858316,1.4530195440083458,1.9760660699015202,2.370938072283317,2.757313321446959,2.750661615596663,2.630450384414007,2.233785663174716,2.074356698926656,2.220338101218133,2.344520952937022,2.221343805095384,2.467342639308573,3.087514398945595,3.736440807523015,4.310700711658196,4.204468876855678,3.75976684717723,3.9628411220388213,4.859529303989309],[5.978616183876423,6.449147959890259,6.088737691504353,5.446151134208006,5.0373043388442165,5.15140915303993,5.385175401805168,5.465606248252898,5.371765441642174,6.033735950031908,7.4421900222520465,8.45525566584115,8.336498830212511,7.98868603106553,6.927830105216478,6.4049190706693135,6.650059977691245,6.897903000452027,6.793897982431897,6.632727338960934,6.714423149049661,7.31609125917194,7.734798198988626,7.607353792043575,7.10684235615248,6.906523661713852,7.215650131971334,7.612374134888393,7.506843978644779,6.837545814795598,6.166237153679316,6.231712384588183,6.608981656236261,6.604821886591481,5.986055169879732,5.570470672164102,5.645482107149277,6.0701491087136725,5.9434660418816945,5.725760432269043,4.818528438725617,4.431307529359278,4.681774615524766,4.691147912593001,4.455338112157973,4.004265648916512,4.027276924417827,4.570737215166897,5.1674512652229145,4.99600828196769,4.530952299550458,3.569731957550882,2.6843031819436454,2.632753972370535,2.545131437704469,2.3960486746954834,2.4960939926264234,2.9984692698368507,3.412264157835962,3.692393251365629,3.2573801708799386,2.462879376312038,1.736353589182629,1.6104154472520704,1.5133520748179068,1.2636250412356151,1.3405529866423065,1.4895319372626852,1.6249408997836248,1.529897409041842,1.330599881083424,1.026480599294967,0.9328669029263691,0.6369670759154432,0.2081622618070954,0.5294564515377432,1.0761984925675283,0.9480687569326587,0.8855836930340687,0.8040585293488686,0.7575564564451711,0.7068385056804916,0.7731143988198959,0.8419857752358988,1.0490006894388324,1.2884915328797262,1.245215903551182,1.3683528428104612,1.6768982717878815,1.93768326416136,2.261403262963032,2.248974883992665,2.16742681953353,2.02643270280193,2.2941416742068044,2.789714191851213,3.003505171839551,2.665915085055864,2.4303881475426055,2.672608357450697,3.1412330874898164,3.642663716609324,3.6852443999901587,3.667913890887276,4.475592538094971,5.721351400871146],[7.198884496342743,7.787563065317334,7.37305219036405,6.490532514613904,5.650693950136656,5.2495944960458765,5.299665827156665,5.385367459784718,5.689615953061141,6.934152094809581,8.724496828968125,9.872240655346546,9.744732078966305,9.313244901213778,7.893567523960145,6.776497865438449,6.467612420084869,6.457290002708054,6.474208419436452,6.640841167097241,7.346181219933957,8.349447595363698,8.900525703647126,8.686577929823576,7.826501567573042,7.030649836676001,6.834893456973306,6.8705496209443515,6.688499468381014,6.346026322712798,6.252554275252226,6.879354919701142,7.567708486701006,7.613754884871755,6.704949011359615,5.77273012221253,5.254269478577426,5.212948548391779,4.992000424938543,4.784785076319693,4.345682233286467,4.649667643198534,5.316856300255414,5.3611678370674545,5.025036492710133,4.125914723203392,3.4387669499295512,3.477395468036424,3.8533447407725143,3.740877037992949,3.426221541021153,2.780199294137953,2.5867806917806955,2.9081302776805456,2.845238141209625,2.4133969602471694,2.1977978488553513,2.279174800233317,2.508011000239344,2.748427607480259,2.3898303341424323,1.7872008142938245,1.4147347828814485,1.5854537485195608,1.6543285887924255,1.366574351415599,1.3001185707753469,1.279981097018408,1.2680188440945206,1.1436982434539875,0.9882979116743068,0.7547999094603302,0.5222062956947288,0.17702616192088044,0.6131063356400762,0.846613073279173,0.8859917090289242,0.7752154143675208,0.7269519557510336,0.6622975861489996,0.6612723111392755,0.7150511539635278,0.9202477295086261,1.1723310388164068,1.5475683738942345,1.8951670846422142,1.7640149527940532,1.6020303207838822,1.522624455021798,1.5289772810289644,1.7119832711301848,1.7313848962312437,1.8249272198577502,2.189188554662189,2.9732888060791614,3.7605474999968664,4.054948020982794,3.5865904235037833,2.938932632918141,2.6555891683466464,2.74345543423866,3.07628828956504,3.4025734573687503,3.9948173124176836,5.403567702247084,6.942637719882889],[8.435835531205417,9.1031839229488,8.671861544966417,7.671693520955975,6.589717271184771,5.838459937268986,5.750845429222675,5.839277201405214,6.448783234158564,8.065590599440185,10.073064747181572,11.290185519079618,11.163561642486439,10.689860090812589,9.087628954647515,7.624694596914096,6.896658385777081,6.658366102668831,6.80259949067132,7.254312812504464,8.378564431591904,9.59511934235196,10.199187502732348,9.923864362274433,8.843575817329393,7.654893779768263,7.054422059240544,6.735988721932834,6.478022930303445,6.477524227286172,6.87829082364894,7.862064952075384,8.709609945890254,8.772559597934102,7.7121573224678155,6.468569589511328,5.500127084445647,4.991522649858683,4.671509204355402,4.479407186988889,4.55112807001787,5.343096964453698,6.209492257453394,6.253103537999603,5.851687730535762,4.718509760793268,3.547225531657467,3.0278149130163485,3.0478254836727134,2.981372809607859,2.8443809306563814,2.6120617703657696,3.030644583587941,3.520439631771562,3.45294727234533,2.879349558182838,2.4240512471299143,2.0257064961927886,1.9339579031275274,2.0551774624365753,1.8116366066982217,1.487322877049926,1.482314714794654,1.7936975541913758,1.8847411008873027,1.486414560502811,1.2201099596970548,1.0140597593486633,0.8831802695566835,0.7654904588064737,0.7044307137610563,0.359609243175897,0.17535492218877138,0.39959715515722,0.8361633507652214,0.8411862000896764,0.687095233514161,0.6759182249035806,0.6422023734883245,0.6545416875269373,0.7471384599099258,0.9155861198132997,1.1978000576640162,1.5778551429373937,2.0710990685292283,2.4742102265618042,2.301838949176606,1.9832518295370356,1.6410121585247397,1.4273676767340966,1.458581979570247,1.5512865487836074,1.852629701354756,2.622965748301752,3.7038400755410628,4.660942404255537,5.013055104727899,4.48772356043245,3.6616465574029604,3.1007263302323937,2.885522679165484,3.0139170258130545,3.591581382716966,4.6412624394438655,6.412679905317395,8.13202468070722],[9.62228143544791,10.34186441809916,9.904837623836714,8.842874199209964,7.6327617463971515,6.679273657308549,6.502732048500319,6.589666739395741,7.3922341868943375,9.210427748710682,11.334986503335763,12.579713743320927,12.448730678338062,11.941670084538991,10.226344615973701,8.56083772569048,7.553392916893461,7.133766987754917,7.346281798760849,7.9646225195599145,9.349455182917273,10.6951686061616,11.325067427031804,11.008532620791676,9.799344257569842,8.35519275529759,7.4616921572654356,6.862550769252857,6.540624510716626,6.798636215259958,7.538193407571269,8.733542236568093,9.67056439219105,9.740502746809348,8.601351649269207,7.199523876574977,5.973975520504701,5.151617822121974,4.767074798026457,4.584702080895923,5.013745319776555,6.056241802834069,7.005725769739453,7.0456005738459115,6.619558803139281,5.4106981722780505,4.038773936695748,3.1735602146844473,2.8259085480378707,2.7633094743664035,2.7631945866068746,2.860403540886961,3.590139008295363,4.125920841483429,4.055577689234902,3.4338896212810788,2.8713692203044787,2.224761115444471,1.8371958156467791,1.7537579176123796,1.6074086404057253,1.539769156708027,1.7142001419038355,2.040597803629673,2.0708393678541177,1.5776332553666215,1.2117555208857895,1.0229488934352229,0.90373445165058,0.7482208879157048,0.5064836539459487,0.18464266216756875,0.37324082056720237,0.6624293819958013,1.0185745759065854,1.0057820316680721,0.7920607275877988,0.7637860742126732,0.7245425409921028,0.7965945881613314,0.9590284841543217,1.225085937637393,1.5957350011559257,2.102367053504857,2.6988828382421235,3.1556455902238443,2.9577671723617187,2.548873328884278,2.0701549399187438,1.7151938160922664,1.627105397447047,1.8055434308478477,2.269136964252166,3.2857375859246516,4.539180686479042,5.5987529420225455,6.000150168165277,5.453496756076648,4.555000333918774,3.8747188990946864,3.48397009717233,3.4442954832427044,4.176371835550718,5.488760915531615,7.457807104149361,9.286154278266979],[9.881917443256464,10.573677475052929,10.106901637837025,9.0235338002662,7.792875296637407,6.825334795921609,6.687513271981882,6.814545176321382,7.671095106859976,9.505152804772962,11.607570563159745,12.796084382669918,12.626808823090103,12.083561586232495,10.353981621153299,8.69210273855024,7.674264850999696,7.26706806963337,7.537530712934141,8.197450514599755,9.593424024746186,10.899999159878991,11.4721842421962,11.105905387893062,9.859455925743845,8.388577628264729,7.466161663312565,6.854838526258448,6.563626280598742,6.900483453920636,7.699419208797119,8.883557962024765,9.773581721542431,9.79718040042669,8.636232016812356,7.213823944928597,5.971787304461593,5.113728910726071,4.7530058393722285,4.610217797953982,5.10986738341294,6.1535052810799105,7.0448975545874015,7.0263408458880185,6.558926380996161,5.351983632011101,3.9894637239240764,3.108040450369281,2.7285883095687407,2.6930809952009063,2.749195684949653,2.911666139141701,3.6249132240111273,4.102709127862541,3.991104091638123,3.373644054068075,2.8058427109819286,2.157746343074082,1.7610033440143955,1.6673583036767148,1.5953192534018292,1.6029641550373492,1.7721560467770257,2.0292882215870454,1.942106370177922,1.2736057411411157,0.8722655830816551,0.9659403744194536,0.7472830290561987,0.4707082668531518,0.19462661040599274,0.2833692340794345,0.5993075675632104,0.811936736902379,1.1343369299120203,1.077112595805489,0.8291935968924224,0.7927164183751654,0.8193341588352894,0.9546194732721145,1.1808410643722735,1.4723698907691687,1.8842920906185685,2.427796243032547,3.0095022152479642,3.4147337187334776,3.149950509708165,2.6724871151376135,2.178935053978799,1.883499390363479,1.8732203011718824,2.1026161246304396,2.6042089070127434,3.6194262511762196,4.863240602198444,5.8809610126457335,6.24433806055515,5.643304962194105,4.720193341779599,4.044251230997566,3.6763852766758207,3.6435414080562483,4.402126190216444,5.747710574275689,7.731248681073827,9.56698704780875],[9.184274832305876,9.798330546097572,9.303211602877136,8.256500908480941,7.116246308928656,6.306271642043639,6.286018480080177,6.466487967956457,7.251361862642677,8.90692241960737,10.849292310869636,11.91073083952429,11.67899293001872,11.10453838310571,9.44375904260894,7.9462654860571655,7.127975596989837,6.873813015749088,7.1467202687379014,7.714183977299156,8.910919414807273,10.062433929118914,10.528016056738517,10.120347795036562,8.92178726824071,7.5966625739215,6.847387414494263,6.4323311699863055,6.238317818333391,6.470312901934324,7.098594835198265,8.111604945727363,8.871408834304876,8.825538877855394,7.694355154574126,6.359143387761243,5.2707323613308885,4.592087230740302,4.33153501717012,4.247379691074356,4.607669371179995,5.491841732242675,6.249659802620237,6.1686748800414515,5.681655458277132,4.562208892374765,3.374468026568663,2.7277186572824057,2.6034591659597943,2.625139144565428,2.669309420935212,2.67807756569494,3.1379031078489694,3.504943375428235,3.370286956790965,2.836522538839496,2.351496549097245,1.8900862148903563,1.68415753264815,1.715141175380893,1.6784841265240282,1.6193435073422138,1.6416620932035288,1.781662605941549,1.6040050255956686,0.950136148157405,0.7357000304281267,0.8519365637844595,0.43064286275451336,0.20036796489315858,0.4074066705249858,0.4342940921093838,0.6273284254887994,1.043400216192472,1.218733131407416,1.0547682271558465,0.8601937470877752,0.8671940320920055,1.0321898453396983,1.2446032581079791,1.5156084539117012,1.7485311368215006,2.078182163574235,2.525191681701239,2.9835209286386593,3.26920951970724,2.955270950292027,2.493298006714783,2.163462056050497,2.128988411915282,2.312893442622417,2.513548957707645,2.8949674194043586,3.617737628494425,4.6286598214872825,5.477690155335537,5.7615824112651515,5.1333700996540435,4.283731544461301,3.74739199345613,3.57280791039969,3.669266511342464,4.292507348661648,5.4128760389884985,7.19606510877733,8.92419706272532],[7.764502234813833,8.2658939330906,7.7880975394981435,6.883999621054913,6.029450221957376,5.661902383611034,5.844183363196001,6.052364685709203,6.513654255292276,7.706416795667356,9.33769112369234,10.251803133366069,9.993923739783781,9.453390895655666,8.016484611768462,6.94508727336261,6.616604560078874,6.654662018099045,6.82188210357546,7.094969840069064,7.8042228450473425,8.655267750980123,8.986815876769645,8.59324786943871,7.597806852100213,6.680415080250828,6.364355217049619,6.339072495569693,6.249083844379736,6.148022824156483,6.293368299066909,6.909992390396119,7.43989480306037,7.320537917621618,6.305823593494478,5.21793033000005,4.512328858203597,4.263340465367663,4.130457735427116,4.065180546799175,3.9998882534710405,4.490364981007661,5.028364637566125,4.898509547533753,4.439896644372717,3.5208219485082126,2.7237733931520123,2.5740722274591814,2.832281544491053,2.860773695121844,2.777693209898262,2.458586258482427,2.456970730008826,2.693445760548042,2.5836853010044623,2.2159842438033333,1.9195813597131126,1.7749543044104081,1.804416322078505,1.940014285412629,1.8583077007847593,1.6302942919903523,1.4467129059544528,1.5093459354822696,1.4334699933695558,0.9910301944657036,0.7965318746170632,0.627243558256628,0.20684930152691022,0.3199531295779896,0.619501096953103,0.7504736202515617,0.8391925359359423,1.029129210993772,1.1257197963607926,0.9240960953428782,0.8926435875033765,1.0189017317915392,1.399903325404262,1.728659109426671,2.0428596364355274,2.1302616909474077,2.2461258369613373,2.420697692986258,2.6300970197643156,2.747660671076724,2.4650850956023684,2.2094368048570705,2.328855290570854,2.7170556399753245,3.1542149972054334,3.3013510751044297,3.4346335129051506,3.539065148954441,3.996957776896477,4.530658542001338,4.716187927949125,4.163170553843727,3.617094450652787,3.49697092723161,3.7284636816153442,4.089158366520857,4.363963333695167,4.852193588203536,6.081712015221594,7.553633541985368],[6.505220976906976,6.880803423041214,6.494189386068995,5.860643210363886,5.491139061117128,5.7188158827162505,6.06990940747978,6.2492881696231315,6.247216328651953,6.757582882159111,7.934090485579476,8.693826712324713,8.452134553119983,8.011706621104675,6.959101972680405,6.508215354028659,6.770515672776152,7.070281690752388,7.055482252120239,6.943185438056923,6.997773472429911,7.43995077706334,7.623667117070177,7.305811904382932,6.663963208106681,6.349706116542952,6.550725291772973,6.893274690075055,6.8663305951278,6.393713875965767,5.93105547164627,5.980849334080181,6.183710196467158,5.98540119528388,5.179733178578035,4.513273457278425,4.349020939370934,4.57921787283788,4.531752212027914,4.423312812133994,3.8546289553856723,3.750259095344334,3.9307723360414606,3.7298879245418086,3.33704452907785,2.7413563715533362,2.5440396624653947,2.903020160757528,3.3706050141953288,3.3408210905076854,3.109165720405963,2.4851583905234915,1.9341447251694996,1.9704374664455258,1.89741986849158,1.748844323317853,1.6999934295290646,1.8555943523037428,2.037459179504468,2.2158346815218373,2.06235908968005,1.6939104777959837,1.2951899687903887,1.1691753973226895,1.140944879963338,0.8225521938183075,0.5530530698615403,0.2106804083585183,0.4396907548441691,0.5469468506459958,0.6095062755892547,0.8844714261931889,0.9909545566104718,0.9877678572245604,1.0530333404396504,0.9109093047247055,1.0731399302749112,1.334774140545686,1.8865608785406571,2.3402992174760446,2.7306861820979633,2.7296139409206726,2.676457977094135,2.5557307624656755,2.498190763550328,2.458306058272723,2.3258582786701556,2.4353880314806564,2.980271418721876,3.640505941332166,4.249710647816033,4.375290244411777,4.33279270567095,3.909977135108861,3.7265069162178417,3.8618772290094667,3.9657608907843915,3.6494564798365707,3.6479863934527827,4.045727690061962,4.603572540810608,5.146291486515801,5.091090350618615,4.8327760051868855,5.2303740415452085,6.307589864452551],[5.736878380211946,6.035460880466126,5.7976821543270765,5.473975029355285,5.5660219795349715,6.205192512077319,6.5969152793418235,6.683841091156028,6.288819897606579,6.209808665226472,7.001551344088457,7.68565178761442,7.51280439118473,7.201223104164518,6.506157176689443,6.530836195733039,7.1552030213888544,7.552708874344383,7.361847013715588,6.963005583632725,6.546457432117849,6.708235378506909,6.828387562305008,6.624112098776644,6.313097426372296,6.430824331979478,6.935980854331278,7.428788666308014,7.385688186299346,6.660566053957153,5.832713395093683,5.5165058445840325,5.513120787316118,5.286793917517121,4.67431840037093,4.353019122848684,4.55002773384112,5.004087717840451,4.950698076461374,4.777387929926011,3.943114341262111,3.491119121746384,3.4275159397202857,3.1527173677086093,2.7944402908744053,2.4586049383136706,2.630180183196545,3.181965357252376,3.673892129463333,3.5619923877115025,3.2385255186511186,2.4852508752040547,1.71658864294469,1.6394263683431365,1.571315952010133,1.5850579895703667,1.6735072150962964,1.9419268750107093,2.1402873412506715,2.279161414479785,1.985437363714032,1.5024404112264655,1.035111878582168,0.8005377517534323,0.811381770820026,0.4481777742231688,0.1888383935317572,0.4104758125338682,0.6675796286621238,0.8752923894442186,1.0024003135938866,1.085659728532686,1.084274647077757,0.9657442795512414,1.0346127592472936,1.003185442936456,1.4201820405427021,1.8474607291843308,2.5969143487580513,3.1461597230864067,3.549342791023002,3.4507255230721365,3.2237144398503124,2.847297462608766,2.580720245873401,2.4539961018889995,2.547544198334912,2.9998113498255194,3.8202525268017995,4.625916155474148,5.312964243159255,5.389325922588673,5.212313277728565,4.463219713712216,3.837835027526495,3.675841824388813,3.765295455729993,3.772353420924947,4.229289459074034,4.949581019176244,5.649377470383137,6.262291904560837,5.980924849446048,5.200540342030293,4.8734523985586815,5.545376309903161],[5.507200280432201,5.803409306153079,5.669302514996834,5.488832745092557,5.761179223695432,6.5330250802986765,6.902135858255332,6.923179577676215,6.3438421128165805,6.016872561989538,6.67174218926167,7.364636870255573,7.253226259248014,7.019020879721498,6.4695586745288765,6.6555858132244925,7.375277213856028,7.762231310860002,7.471932887859283,6.943180076428848,6.36164924909276,6.44142504513485,6.552848012122941,6.399780277914121,6.212497451307833,6.464506678234909,7.041594550622895,7.547681462706801,7.4708829607998934,6.634763431691715,5.691533284577877,5.271523635361391,5.213457502360721,4.976648611216474,4.4188488703031386,4.213293398218747,4.517475970510057,5.024712544359731,4.954728430508058,4.742809050467835,3.846727235067376,3.3299470227379473,3.219756111942855,2.912499040566204,2.56638185461586,2.2950731057381066,2.564817383668974,3.13234670872655,3.570005561531378,3.4016034762884173,3.05028025848204,2.308348428179061,1.5931950025219628,1.5282684812699516,1.5069726480707393,1.5842328700088943,1.709553334781962,1.9358988365202756,2.0476147817231745,2.080762827485833,1.6807216816704096,1.2835729547022927,0.9742764590249466,0.7171788806206336,0.567389790363551,0.19877574423100783,0.4064536135463184,0.7000642763226885,0.9350941087691309,1.1994689091810584,1.2355376900049462,1.156640364884026,1.0926529917430121,0.930367524434613,1.0027708628910446,1.0528048471946525,1.605542517927447,2.126446036601882,2.9838581615899593,3.5658175373832255,3.9544704835144744,3.785365239263665,3.454713673008431,2.9504312734229003,2.5967157329694652,2.470247704562326,2.695919555688157,3.30804244968833,4.250820404277147,5.108263012714252,5.821753527191681,5.857915525484634,5.599518933424278,4.69963393593057,3.912264496377121,3.6707313056549307,3.801591456655121,3.9756273975771643,4.598540395351396,5.435450672048089,6.170943659350868,6.80009858845539,6.410818470642263,5.410083214489076,4.784349705458249,5.291008507492276],[6.011610497418241,6.441953449908435,6.167483663018139,5.642328354318675,5.481534034393424,5.9245070525150085,6.200143488712617,6.244871422651764,5.908330286243936,6.109381178630202,7.242781766404598,8.10248478206714,7.940341040100733,7.579051062167478,6.619516560209934,6.3074356961493745,6.7023374046152115,6.967342265944887,6.754893999139236,6.405708920054473,6.269864189091579,6.693711020574438,6.90487115172578,6.636540268438645,6.109470173929779,5.940978317050713,6.239876593361806,6.596696302430323,6.510092908057534,5.845438846900514,5.268466489377494,5.2825922504654255,5.490122148932423,5.2819063600542036,4.460535911868525,3.85329177813114,3.7930362685561323,4.093569504514544,4.009001546883158,3.8373598881753965,3.226338508750312,3.1680371504696216,3.370067618438025,3.092080164318514,2.6805868688258565,2.031978202982027,1.8627823914677988,2.250261627719316,2.595990799090672,2.446803788045136,2.1983182914063066,1.6801137346229253,1.351258346381627,1.4649266548461337,1.4623079166856259,1.4311957825220176,1.4892539377055092,1.5609875578976176,1.4991774641542772,1.405831631850222,1.092989694854342,1.0590711646550857,0.935034799064659,0.6129331465391304,0.18440319925461157,0.4530830704877163,0.6676716200417276,0.7147581344726461,0.830204132026471,1.011165457271514,0.9928392519211037,0.9252970579718859,0.8813732228968125,0.8953184058350736,0.9807832222225328,0.8463931229019634,1.211084781966348,1.7007760228479485,2.5393505741988673,3.079966778955423,3.442312230706906,3.2560304272804985,2.9317651963155638,2.521288592312126,2.3396050340806633,2.34077000977903,2.390436351565763,2.802773206966975,3.650710429613026,4.454888438435299,5.147422713002109,5.170832119255344,4.926896452138646,4.151961231012393,3.684860471248431,3.7716565355025287,3.9766841491721046,3.8820194180100276,4.133103314734581,4.76822525446495,5.393265753603358,5.977346239100492,5.661048995541447,4.907319937527186,4.850524974880583,5.827026273058079],[6.769827148116882,7.309932685904393,6.945930401637385,6.134573107530105,5.534858300798752,5.560145181992331,5.706118762195407,5.778221523436095,5.743806342606773,6.4750351977782294,7.995560312905753,8.981437112302645,8.805899089025637,8.357831000315379,7.069183003845156,6.271782251355015,6.264143063473515,6.363411066491903,6.241331423636848,6.110784356694554,6.426989633477118,7.161195429494562,7.461745048412541,7.121339234473068,6.318248190545274,5.716283881285105,5.678746899154078,5.836725915959479,5.735587275429403,5.292221264939405,5.1068639701036815,5.4962777970994425,5.922181151001375,5.766105433556737,4.803390979392038,3.895433561586309,3.447102940850675,3.482818555777901,3.373043180028977,3.2418349118046783,2.9666151768362408,3.308131333061864,3.7253095370074556,3.5095242038666306,3.1099358720767,2.284036541090636,1.6852632274736656,1.7298776504303166,1.9049289909511693,1.7961216278514465,1.6589423255541744,1.3929035668492615,1.4252136417208532,1.6532992696724909,1.6869071977082142,1.5812127194802033,1.5529674823262782,1.4800824032126798,1.293305699448717,1.119031496314182,0.8317542998374293,0.7439721216571098,0.4652589468774593,0.20810554617665228,0.4912321320298453,0.7805908604570277,0.7211301547414248,0.6590241499120045,0.697712409337893,0.856860337630838,0.865777031959103,0.9090917789441024,0.9604319994909963,1.2491524652338988,1.419342121662914,1.2013538204689165,1.0918537405361597,1.3689965796185555,2.104431679517088,2.615604845588346,2.987964901082167,2.83745569612904,2.597962212758332,2.4318187063369265,2.5476084207665766,2.7286373751349333,2.5756825016643212,2.63265130522904,3.211447285796237,3.896905185499828,4.546761766205272,4.5807897384238165,4.39087429704928,3.851328065110854,3.83206215657833,4.2583107295959435,4.524700211295116,4.193635648645372,4.0102256232477815,4.330525844282202,4.758200756325102,5.256470772885302,5.058277520594967,4.6598250112196045,5.22832369616223,6.590933117036601],[7.96649178837903,8.587760059885388,8.148869576566305,7.111233285194921,6.107976493588216,5.632927918071067,5.604073549398949,5.707213291107809,6.070591753292934,7.334602819181064,9.159013707821366,10.219214272927196,10.020961789826536,9.494263256950264,7.941377903510539,6.689409697021841,6.205410785527383,6.08744537123419,6.112121908576383,6.272835850654093,7.063189705928374,8.047143123615827,8.416373880852408,8.015274920826434,6.981356153510164,5.9647980781742485,5.5287457920680705,5.394367974149175,5.260220312804162,5.139845142405493,5.402771025361716,6.121900566367475,6.707367045336876,6.587101871081544,5.545945334645894,4.427709868325827,3.6160569218747134,3.307811048968259,3.151463905609526,3.071104372355268,3.176744242426563,3.7980574732557377,4.326139904263527,4.149333691630299,3.7502288385226885,2.8453381582931665,2.004162090639427,1.6800672183835836,1.5987898956429691,1.5456557404718225,1.5079777715182,1.4883740653217443,1.721737424325776,1.9676811803799454,1.9967503081632458,1.830055909367178,1.7366527643975516,1.596819736390331,1.3489245364411397,1.1062364035213588,0.8072638577388603,0.5270125797562125,0.1979307927846986,0.3773116283578493,0.8369515113499449,0.9955388680630894,0.8997472014679357,0.7540834323690092,0.6358120066615623,0.6901747704294727,0.7403069421609901,0.989523779578322,1.2502156683431824,1.8042679939680044,2.0971690737775215,1.9157212939684025,1.4672084925761535,1.3434887156586597,1.715951923834376,2.163386613615585,2.574502341637643,2.560465436701257,2.566892347100119,2.8346038327933125,3.283195697784535,3.6151958697085043,3.312055992553615,2.9598056170587137,3.0432564390060124,3.445494867879548,3.985652127647586,4.074295809976897,4.035596664305997,3.958370785050906,4.5107992135602615,5.231472159671063,5.5362511118028275,5.008326546278688,4.387836893739042,4.25701726369662,4.344473322442796,4.662976331887084,4.696602102967584,4.885496607065028,6.122951005977082,7.784329718962182],[9.002062087412344,9.657492349411248,9.181673231832496,8.035654286448217,6.819960217656914,6.0227366140258365,5.855337211379964,5.983308186422994,6.621104657728826,8.181975851167882,10.153412712994832,11.231956907760441,11.0128993475453,10.431110058645816,8.742175381088481,7.2388780713776395,6.4425602821393495,6.170194993648316,6.321230919275239,6.682489459716724,7.749780888496165,8.838251187873475,9.221153728121987,8.770158756190117,7.601792781941795,6.343181963740142,5.634592282669952,5.2833659287219845,5.133658076405651,5.273826717915427,5.826128856099867,6.706169203618439,7.351896811596802,7.24082069852507,6.174683895829934,4.978649477933722,4.002225494339086,3.4769046133396158,3.2872122013674456,3.24444290371021,3.5732626542692927,4.29362587006273,4.836755286639669,4.658857301596328,4.23858237231556,3.305650072903056,2.3652404946357883,1.8462725060453404,1.5843224515774086,1.5537006259416717,1.5775841599595906,1.6678547371718555,1.9792612505808522,2.217400583130334,2.198594686636465,1.955042711892814,1.7793098335121957,1.5098907881715316,1.1899335274023544,0.9099485016780006,0.5397755050594705,0.2204269119490021,0.4102428101083592,0.6508723693181176,1.0344193403889297,1.1280561259608521,1.03940997573437,0.8376103128751946,0.6695181826116061,0.6974778268664512,0.8160365899206447,1.2077150214847887,1.6356019572793183,2.384039289466413,2.781287723145233,2.6244372280850223,2.068180413688626,1.7176912412845844,1.747677442730161,2.1259018888698185,2.5826244299916703,2.740102725721498,2.963191166188578,3.5251708305009077,4.1578276215429195,4.582830267231018,4.250462944741176,3.725441827720114,3.472493696189661,3.5804753318138656,3.9511562603979975,4.100733517565913,4.220773771535036,4.525472373707751,5.401720551209243,6.24281142107179,6.5590800120300425,5.937075995162248,5.104080346573626,4.689069096785978,4.509972139831496,4.634750977709177,4.871759233944218,5.482097194762681,7.05780000618991,8.839391499171038],[9.208520598636143,9.829966802633885,9.325855968600768,8.168989712340222,6.937846896173354,6.111902055025614,5.962270630975879,6.131610789874604,6.851879130626084,8.429501891094175,10.361798454214219,11.374408876400452,11.121899883312283,10.51372404876649,8.82068429927612,7.316326261446847,6.488481279694525,6.219152625662101,6.443650069225526,6.857008754807438,7.942071576951271,8.998655229397684,9.335319169865231,8.851480404869204,7.664893920713509,6.382788590348473,5.638416861266105,5.2644697407877565,5.147845489552036,5.375919384198564,5.984928886262874,6.851870605886265,7.45300677664914,7.311248800726811,6.2486043336095625,5.064753168754566,4.08776408668172,3.5294268531677613,3.3621529380898636,3.3547594137332366,3.728732922429738,4.416232662356379,4.897164142391015,4.670483605044467,4.202865460237087,3.271709062118279,2.351106166002994,1.8267752909450108,1.5629646462658033,1.5563481588135946,1.6103917379136852,1.6994486483527653,1.9745062007299392,2.17831925773155,2.124911393446697,1.9147941728966213,1.7199848006172322,1.3985786295563982,0.9825345333090776,0.612788551874811,0.20016231581009053,0.3841849621581379,0.5752690850316611,0.7875596560582283,1.13251931306383,1.137896234822969,1.0534932076364305,0.8550555510306806,0.6991715574384948,0.8055308022777019,0.9905241486105454,1.4156642855680575,1.8886019923894177,2.679659962049188,3.0970548565537035,2.9284003848356273,2.3864280142629086,2.0312476020087,2.0509495290432778,2.4613382161932034,2.95490615415589,3.1778971523307766,3.4327729507456595,4.012939903550097,4.633440254812437,5.033533835091567,4.70392409487701,4.172421843785741,3.9041766848243653,4.025100173789487,4.399185889127577,4.583217939853942,4.750237887683428,5.071293136551221,5.887910406963432,6.650187300786461,6.91601287309558,6.276625352022107,5.43777331153065,5.002308058605335,4.800452690394262,4.879348571243957,5.1481455109898695,5.7984613001980865,7.342454751513268,9.082233568209915],[8.590996835040146,9.121380969929016,8.597546007174198,7.498490711791966,6.399541148117318,5.77506021035435,5.747532176316143,5.953580456623381,6.551891149768375,7.926890707284324,9.702732783059767,10.610352605669672,10.325248530544359,9.717746137649609,8.119745945710534,6.795337095871805,6.1658009801594496,6.022772857799789,6.24667409757653,6.571983482630292,7.489933007604927,8.418629991853269,8.676676311768329,8.172309535845086,7.047807070300016,5.9073469202410065,5.308141124254932,5.0884533523099424,5.03328945967463,5.180463481233909,5.6604290497760354,6.389705201070536,6.883066514283072,6.68944549906344,5.660643431596885,4.569756509954508,3.7441563506484683,3.3213665829637007,3.2163034793598966,3.2422493616966372,3.5190573634230207,4.087027586536173,4.44576211498257,4.138157281553951,3.6224929489407343,2.7511374222338105,1.9733344434336106,1.6179125061929407,1.5213795090249642,1.5489422807908384,1.6070268645097046,1.6279490269768926,1.782482934494208,1.917178271883101,1.8391777336084958,1.6680859812105135,1.3589886314043096,1.0237822049894965,0.5617853941855552,0.1961217064326726,0.5238138705646742,0.745042234582585,0.7368236138490228,0.9023130153238035,1.1705760538860095,1.0371935333710436,0.940497922133872,0.8241776028757128,0.8581484785715782,1.1528891919793398,1.340114053953836,1.6691429272664167,2.0650333491339214,2.728371357049088,3.0677185110367344,2.8403884531737615,2.387531946095654,2.1951175126280575,2.4827240476901555,3.0113188646853537,3.547751896671967,3.7191488483266344,3.844959253636314,4.220088723063805,4.678794214711729,4.968468970711645,4.675314415720699,4.277980967758682,4.244333336870451,4.588051434984529,5.0928733861503295,5.2752152499106115,5.36855323884003,5.419404038576571,5.9122816549201955,6.4344170828373,6.595270782940024,6.0017002550557805,5.348113196505982,5.120816656857892,5.134246488633103,5.3148804973654755,5.456964799490994,5.806656163430538,6.994082375815025,8.530801134631535],[7.38388065600251,7.767537899916638,7.267842204664239,6.340022099605073,5.588497900338291,5.441628760531252,5.606697980161442,5.815902273187475,6.068182897776105,6.944591629912148,8.38832687800193,9.149447840062535,8.85446910112135,8.29382280921381,6.927493281806261,6.004715384937658,5.8132271948569345,5.902656677519318,6.037286744228083,6.126919395254044,6.6398784761489615,7.314215263451718,7.462215214738236,6.9740515983216085,6.030235874247989,5.2385234272157115,4.992052552295725,5.074021858676767,5.091162410511723,4.995939384005727,5.130583838251846,5.563894296369052,5.881937992476158,5.639998017503864,4.70112350803973,3.80513594995381,3.269472932725995,3.1164913479199785,3.089146841612727,3.122471519886724,3.1575217986987347,3.494557280724255,3.68547060819719,3.304667505667927,2.773300509960952,2.009625520464571,1.489587532914061,1.4486564929848054,1.5715399413373394,1.617351344178523,1.611754758617127,1.465885060036234,1.4070424384210194,1.486646020842036,1.4706015747579717,1.3716381570826945,0.9975259708280337,0.6653075227540448,0.1760496117895705,0.44613957881270844,0.6587006526896715,0.8567953510861428,0.8494032133491515,0.9342216154074721,1.1256160530316193,0.931462247044692,0.8460020983081635,0.8506723451205213,1.129270120778872,1.5912568769776394,1.799153225848669,1.9826992297656056,2.194123320702453,2.613990717727109,2.847827797156963,2.6024966677388885,2.3753728384517436,2.483986288053756,3.132469377054575,3.814494317920692,4.400300184805058,4.47124181411291,4.3977686970525145,4.414683305869033,4.585493765268104,4.706710420885253,4.5454097758704775,4.462519498691854,4.829657937091553,5.47970483743616,6.156031259164829,6.32834865609592,6.296758808850572,5.921208982983953,5.8698236269342186,5.999158375301388,6.023264755746118,5.605455177685977,5.364339138777854,5.523025543658336,5.858143034734531,6.21323989388367,6.1153309465230565,5.888232088919396,6.327994094099234,7.435611357453192],[5.813027131583662,5.953021618501108,5.633624559901039,5.222029112412103,5.309802882097985,5.991281936514406,6.349181641950042,6.448624218442046,6.022240846756806,5.8339097104484905,6.545684891318488,7.089876549563597,6.861117776505002,6.486451972241515,5.6965195964621795,5.624725860816965,6.1441015573605995,6.48119374795482,6.348533595032866,5.978812235930809,5.683909863154722,5.858517062699595,5.847021171653407,5.4725924107947606,4.979535077492547,4.906004378596863,5.226282017220786,5.663028668769381,5.6998588791354505,5.180096067173991,4.694498084535353,4.561202310094265,4.575018380209964,4.283341128581715,3.547122893999086,3.06414483583534,3.038514735466982,3.2848350372926545,3.315038931337899,3.295112331100772,2.9237092423210993,2.8374159198211113,2.751030701350586,2.237548320689808,1.7225023634796113,1.2413032080345796,1.2564346804583308,1.5888431890410555,1.8317127098464847,1.7970086887875285,1.635209640589464,1.255864180796459,0.9654345225939753,0.9956432627258447,1.0564049228416046,1.035292102638117,0.611165621955389,0.18690735246565418,0.5851438962270138,0.8263189662705058,0.6260130571303871,0.8539673457538836,0.8500063258401974,0.8710344384036398,1.022232548812409,0.8504599073534093,0.8308063562669492,1.0365567446246802,1.636816228366118,2.292615598016566,2.5345117023761414,2.5068642548562083,2.421506136689898,2.410255878740127,2.4992701037580725,2.3545297542345414,2.595860152695608,3.1366995944523564,4.185850971446073,5.036723479317694,5.679319147261999,5.622097506172019,5.292437292668231,4.823787931786511,4.592499106494073,4.515068424515041,4.676052906727188,5.12102324203491,5.998435785485999,6.963988409007004,7.810196811293295,7.9410460845133635,7.734028946373542,6.834127364908423,6.058568090016592,5.656822174268034,5.567511370551893,5.599830915057348,6.066384819865042,6.742072237276775,7.410355538656868,7.949946525076103,7.558734370716338,6.568767639649674,5.764696306669075,5.990864494520039],[5.20896197044767,5.165399927706884,5.149451483052517,5.306738209697976,6.022071576819637,7.116176175102431,7.507004185817359,7.479114241848329,6.598838506791911,5.564178553349097,5.514187848113447,5.854013198502725,5.742469751545609,5.601552263336411,5.419560183375296,5.992512101019508,6.8875656813361115,7.285130465215025,6.908847837080708,6.189199487758435,5.2488954773046,4.965076114407881,4.831779425457996,4.631302351210767,4.631997859509438,5.114085880189604,5.746700881335698,6.313210276430989,6.3065885638539525,5.48254720652264,4.557545323589587,3.944766897073744,3.6868172516681272,3.371035896171346,2.8997449783078326,2.8413611762669198,3.203024694283123,3.657862501902524,3.677092658045295,3.569900430931613,2.918383960562636,2.491045108277999,2.1859793981127833,1.6176206197894594,1.24132015451447,1.2008124303813215,1.577284166907846,1.962746395883791,2.1466402857921034,1.9921455839499593,1.7045211042392907,1.2507880661475264,0.8940078700433521,0.7436327243024161,0.6682898972373225,0.5967603075381335,0.2503364022827693,0.5203665450728707,0.8707023680415028,0.8370396661948548,0.7221987694211072,0.8658294339730698,0.8331230484563726,0.8470719109106625,1.0134930303171628,0.8959871055452342,0.9408935808754486,1.2736021377196898,2.079563384170155,2.855474634155955,3.11602577296818,2.9244457821584433,2.664548272925379,2.4064508403960883,2.4370577665581465,2.4543130847861616,3.0214401557632007,3.8064075447663313,5.081778580207809,6.029809492408489,6.699977099721656,6.568696191419943,6.083459168592655,5.338789258874963,4.88713211438808,4.733386769936219,5.159256721631268,5.943224818277811,7.103588711788477,8.232878487687454,9.166738281202074,9.256788154614206,8.932696214300522,7.748716054156298,6.593364982729829,5.93295668192067,5.842180182199142,6.233872605182889,7.105165299973182,8.039099323421366,8.850076353564788,9.471436462183654,8.912129325013655,7.518086873038865,5.962104304527366,5.443680823827233],[5.253663134803516,5.161010028177428,5.350979925864904,5.778873660132253,6.718269881391661,7.921730958154461,8.28182264131985,8.155458871845878,7.054628847056389,5.627327946532541,5.163384889385631,5.4036947431695666,5.382146539539881,5.398891789313855,5.531069678944953,6.3491220469046095,7.354185178204467,7.72081204352861,7.188944946395735,6.284324373670864,5.0235608031524555,4.493623355551574,4.319135838838292,4.262925794241849,4.5586109239608925,5.279444975608933,6.0064099663628046,6.583333020624776,6.5233307015937765,5.524053466463527,4.391979442996761,3.5366103413201437,3.152009041821547,2.854878003127821,2.5692993001812363,2.7466107288534913,3.271819636372706,3.7887970026182374,3.773068114471263,3.586957389236583,2.8042555830534743,2.2294160775210288,1.8585571105445384,1.3600025108183367,1.195131966319194,1.4035573330474633,1.8389614115883648,2.167540418883795,2.2304719702115365,1.9583618385427535,1.5865686097632048,1.2348361327575192,0.9968902279487913,0.7588956524258641,0.5222191243328983,0.21945629007957548,0.45586151364346733,0.8952037767509796,0.9505349784688899,0.9300234967270216,0.8592959569763234,0.9090254484594547,0.860682804516757,0.8762659141040414,1.0951085153017652,1.0258706008633125,1.1141173144932945,1.4723243005839113,2.369572511167686,3.1912730322602973,3.4341394024051914,3.143014945038579,2.7944683187707766,2.455425611835724,2.486303719550821,2.5950001470576205,3.299534587952821,4.196007608071302,5.58933518116832,6.587858182261253,7.268750679718944,7.089162796795958,6.515471064438098,5.64075773343749,5.11250894889399,4.9651358953613025,5.528808021189369,6.465244719448045,7.758390728825246,8.96255466153889,9.932322688509574,9.991180966006953,9.599862020920737,8.290124972742856,7.005017821407578,6.300855058682022,6.255924427433451,6.808309811235587,7.825564861778893,8.85683843678237,9.713629895384933,10.363174226344317,9.715566266429708,8.151058103655503,6.3241972929542944,5.494952429815877],[5.421719227920387,5.433617350811932,5.528433534175716,5.737073991323086,6.491026078175044,7.5814397057197995,7.8902067341070135,7.743711462697907,6.683035750642356,5.397739111088383,5.183851424075554,5.5405957548709,5.4450508716041295,5.350006092778447,5.235134248591495,5.860136942900812,6.783837904544612,7.109876799257118,6.55948228564836,5.673636655131717,4.5004612870758764,4.103341261506673,3.9811233244600084,3.879305826169935,4.054685008674723,4.684082169234782,5.363819876737205,5.928696735957094,5.880645379718693,4.880073128270506,3.8137224669340566,3.05973137276249,2.8008481349076773,2.553045169605394,2.1829246944627014,2.3000981105884932,2.825812190405445,3.3445366194499155,3.3308978671292175,3.1483129529483147,2.42002801103496,1.9264789992135547,1.649729540862627,1.2306671208792392,1.1588480880289398,1.3848285229053152,1.7511592951730017,1.964096984529851,1.8924222051848762,1.5899352614723976,1.277602830554693,1.0982264075026098,0.8646740764321375,0.5843735571827112,0.20330867427032726,0.4416499489696962,0.6334533357130343,0.8020875491005075,0.7806194303924947,0.8180029914621841,0.7965050351956812,0.8754274346380063,0.9628212084092364,1.0370839616507337,1.3870061350523142,1.287935394860728,1.2149776491924211,1.333317796067335,2.115741219592625,2.9006400123231573,3.109909071935399,2.8125229335116746,2.5007314170388804,2.378664573267132,2.508264119914203,2.5042032042708917,3.0044450944779673,3.823656419624804,5.209392932090098,6.212554593238319,6.898718287053367,6.714686459262554,6.142879290671594,5.325362836375762,4.895602684374591,4.8309693606398465,5.314488288446101,6.151157644621451,7.393281724505184,8.582141632876482,9.55514821066824,9.616737753759606,9.23111252595481,7.972138221191153,6.8261338056250445,6.279988862948063,6.284525376173069,6.720993332699514,7.5974012875605625,8.556541325820282,9.372564863241356,10.005921052074799,9.370054810145989,7.871257004872258,6.2388266797144984,5.6793035584652145],[5.750684196566634,5.93174328820247,5.8829008962062765,5.756946610187632,6.159894967137913,7.017048745124065,7.240614437874611,7.085534565925209,6.157750045182488,5.228776012124793,5.476968044235868,6.003927422712411,5.829631459063071,5.583004119804091,5.063127082516072,5.294976573879866,6.021990106669873,6.281866388615391,5.758273314717783,4.9585043607883845,4.0445882064618806,3.9394035122897253,3.9273264156515895,3.734286539858121,3.6425099461769057,4.017373712898344,4.568125271473997,5.091114240253783,5.06008011283297,4.116482998928263,3.2024086002710717,2.674319765566767,2.639838334264959,2.4581062947951495,1.9349968067095569,1.8771697328157415,2.330490865185137,2.8195137184270225,2.799016672627409,2.6181940392112883,1.9729385998486373,1.623078250607118,1.504721870496416,1.2341884829209606,1.2482162426415282,1.4167295070718708,1.6461089616166982,1.687852077059998,1.4491724449172503,1.1351278868667902,0.864592823626279,0.7687908628554686,0.4290487873180985,0.20390708222734918,0.45252711464820045,0.766281479726111,0.7257626749127633,0.7215123332239938,0.6549443639498493,0.7114907499901921,0.7653362971319079,0.9090930319849699,1.1778866590159662,1.375844758043459,1.8287469892051011,1.7280924818056551,1.54150532686652,1.3492687839783994,1.8058992707213246,2.4913722163938847,2.681574185061927,2.4340512702812696,2.266718066287533,2.536337226997064,2.819204484922355,2.698709438704025,2.8143780082517624,3.4013907047848786,4.6525475457695125,5.611744089063876,6.292026068849988,6.133656106772779,5.6085480757268185,4.952892968635722,4.729601478133915,4.8058484155235845,5.1289146168947415,5.741766741282813,6.8216807517045925,7.932948162348861,8.879159746844662,8.95080281537101,8.60723025725654,7.48698413112788,6.597208187968736,6.300909412199766,6.370628464220015,6.609379098640923,7.222205912101502,8.019793959049759,8.734024019504899,9.319569611829332,8.723133272773886,7.37108318450685,6.110809532403193,5.9952458133730255],[6.599435150260371,6.974805491340429,6.733122461945116,6.140018197479907,5.932895488965704,6.298582543987009,6.370045449517455,6.246772005507921,5.679853298929001,5.507963667425233,6.425111612375746,7.13425201414548,6.868936235970924,6.427937810349568,5.342478454924504,4.871644116002469,5.148934945603661,5.2860757057445875,4.906867229461386,4.399958120035733,4.105143255528301,4.447486898465703,4.547035867332507,4.205082309023812,3.6269870815620555,3.410215685609994,3.626683106622588,4.034163938331262,4.04871425331599,3.3171303356999946,2.8133816332385684,2.7806304204571415,3.0431871510646964,2.915039709132023,2.1838158499884033,1.6607179762019313,1.75183004443686,2.127145122607717,2.129063349515492,2.023235263348818,1.6132303366558656,1.578023790148049,1.6436719331300256,1.4341455353802184,1.3733651563450526,1.34045901055217,1.3969751869859923,1.3146413744635594,1.0600782420485473,0.9060703565376634,0.7051325535835975,0.5487963859198925,0.19576772707448467,0.33049400668621165,0.78843383401691,0.9652455478824578,0.7945222350019522,0.7210742764620156,0.6315362594983649,0.6792659861291425,0.8155907659401226,1.0748632746765032,1.5847787950398553,1.935342899052931,2.5164787327482405,2.454964801550529,2.2211410258854705,1.7299022877162187,1.5558322010385648,1.9452985702288486,2.1170009784317374,2.1076216223474513,2.323935967651406,3.1436073610652038,3.602898354282607,3.399551473194961,2.999174256634368,3.07433239713689,3.910597016438416,4.737788376024001,5.40124811821978,5.332417466443832,4.978598259168075,4.724538899356222,4.888722872718265,5.176501013270778,5.2242681144821335,5.399114780383025,6.079140853532175,6.9723996372789205,7.831667938694953,7.938835139670194,7.708854651040582,6.920385607780172,6.539059155553923,6.64120769329532,6.789836642166786,6.697608319915963,6.82860583005049,7.283258603304202,7.769726521607177,8.237029232873324,7.759494152237466,6.768681461203651,6.244542854765836,6.798157425251504],[7.61771376507675,8.06005964456419,7.684770452666092,6.804379302291474,6.138171329487778,6.02672019641301,5.950596898870121,5.892027433258866,5.753651921698231,6.2168873079703895,7.487124499354606,8.228054064494776,7.878196033320461,7.294759606170201,5.865375245485894,4.852063044836466,4.634781833392543,4.651425901813447,4.507431928549838,4.368435075515987,4.623902108524497,5.207436015906983,5.334651456699731,4.878193076745764,3.9598626850566276,3.182071426603013,2.9502970528864503,3.156112282834462,3.229153345298801,2.8530851302892857,2.8629815797019207,3.236841670537812,3.645670051582714,3.5289065304316765,2.7165768207585463,1.8991454610276994,1.4709235115250145,1.5577928542170836,1.5699875535852017,1.5978514991986617,1.5517236329905562,1.7850686818509138,1.9159656610134104,1.6697513770285444,1.468600381823569,1.1827729164521013,1.0448910235407158,0.9388464423127222,0.8802385727792305,0.8280902259351737,0.48781717231717053,0.1650528558846353,0.5041407126111656,0.65059068218746,0.8449904878953628,0.9007204051173929,0.806380521115565,0.7280493906707295,0.652041751934364,0.7136649155415279,0.8473106407056922,1.1944658360016147,1.8169493734545181,2.2800462870348723,2.90927612210117,2.8507125728157545,2.606393001493451,2.0284757199698835,1.5866656156848895,1.7605286338495911,1.959326940296221,2.2374366157993055,2.735832281508258,3.792618573233204,4.340290829943004,4.126915875096525,3.5441728425100343,3.297162849845357,3.7120526083281553,4.403851116913429,5.053727266305529,5.12026964267882,4.99232376774282,5.11253275370847,5.5387675981540525,5.93973301607051,5.824869516991841,5.666874704987607,5.9522529109527325,6.594638147236298,7.344082357801212,7.512844825724334,7.435388965951248,7.005100987679393,7.042154420994312,7.383297086759177,7.550914201297658,7.2257115863770665,6.981820989404107,7.100665286854058,7.347109348753659,7.6673630717636145,7.344802281073548,6.771164688780892,6.860967365402956,7.79275709559384],[8.53779903938545,9.032059403050676,8.585856958952206,7.5402242095558405,6.574376133241644,6.07972808421891,5.863756964492408,5.846294767472102,6.053846486108748,6.9517246910039185,8.43601416124313,9.198002693299285,8.808173734701317,8.152894820325,6.551647841246982,5.220795953712474,4.6126220520514645,4.488334774121114,4.537348998628914,4.679746247341648,5.278409322076475,5.97815325197897,6.110873496064925,5.602069497186172,4.527456098145884,3.445485219478169,2.8668715322740113,2.8127154856420704,2.89830469745753,2.859153669656507,3.2156369348199845,3.7734117513142986,4.2196328836612285,4.087012781860491,3.258383417608483,2.3706976931462016,1.7052588414790548,1.5182036140078867,1.4839833610335242,1.5685240466728612,1.7321940792924904,2.059497217613996,2.194021276858705,1.881487049472306,1.555235282846991,1.148861380620949,0.9973613383284832,0.9492463020516119,0.8356635733086673,0.6040215438784889,0.192178912757615,0.4348229957892872,0.6410656841834133,0.8365531890824388,1.1666325106186133,1.1107714868980147,0.9880103773208785,0.8520808246711975,0.797229841534347,0.8703640429652665,1.025094895898104,1.4528823033296439,2.228784236765371,2.814671452454188,3.5004563785322134,3.427864251733648,3.166651299047355,2.5421070225539433,1.929851440370735,1.8653509639430732,2.07662726212322,2.5514571368754946,3.273013604058602,4.511955413216161,5.133569365305131,4.924878935682007,4.22829488578128,3.756986805825042,3.758896112735893,4.2610223490123875,4.8533320982727615,5.045320113800272,5.127959222084471,5.582600460101743,6.22694699688574,6.7303614509513325,6.503209688093647,6.102143176340266,6.042642802211625,6.41613972476561,7.019470270763098,7.2223324195232825,7.269185572067635,7.166605738657243,7.554098544924884,8.087393928827462,8.272958648319687,7.7794838274103135,7.244054352364635,7.0794005813788505,7.100175405353485,7.275391111335591,7.09453038543925,6.902289670462111,7.4778244931410445,8.677269888246506],[8.740239817194794,9.213691398668525,8.737766911382527,7.664474704890869,6.6454403877563095,6.063358075349752,5.834384621568015,5.860403535547641,6.1964698209023465,7.180432455483788,8.661938927117596,9.37558347340879,8.95748425390736,8.27403307336135,6.660820924621861,5.298517501926967,4.610590123565596,4.481980944572292,4.618176202310477,4.837218020718999,5.47649456738515,6.151148639552574,6.255325913423201,5.730805414698609,4.64257412868246,3.536520449306998,2.9139036461708994,2.816072637136224,2.930935189052473,3.0124432751374743,3.4118689220904495,3.944264209806538,4.339494909963103,4.168528041037671,3.358554010192445,2.512206293232595,1.859962969552997,1.6334999832942783,1.6129368037202336,1.7192441425802054,1.889543819178046,2.161367881107989,2.22009068325128,1.821545019138118,1.426262723972474,1.0652312393762573,0.926808089503287,0.8370672412993708,0.5375316156902533,0.1715546382697931,0.4329368696585102,0.7463937653129025,0.6545193399140936,1.185743031051209,1.471319633659479,1.3610159297689597,1.235985179814728,1.0699517722244867,1.0331160104634842,1.1250847659594165,1.3069454788068098,1.7598234850597814,2.596168941709012,3.237510317021609,3.9053257806821837,3.7782319050544158,3.490656771585526,2.8747710538539732,2.26793100369602,2.1659182649242577,2.386558927869515,2.8737277978996763,3.6423602259839125,4.891773434825242,5.514455558992886,5.300884854662563,4.600785475475029,4.0949630179699765,3.9887794699487045,4.437718500445678,5.011978898918717,5.2484122800920545,5.4006508498622745,5.919049615263098,6.57886130415198,7.075950679036574,6.8196877266872304,6.370046721835082,6.2302047252582495,6.535506334784891,7.094395815187572,7.319517211337435,7.41292357123516,7.389495561678962,7.825817028885731,8.348588599427414,8.495547938957355,7.941314457348745,7.332137330999345,7.09662831905921,7.067586969585878,7.205304293917444,7.078918870253652,7.005239794845465,7.666084968003625,8.882260021982752],[7.760026211027991,8.099864104061584,7.636001778056191,6.69726069112072,5.94384806515001,5.712771193161585,5.668410865967558,5.74083219392362,5.873229299589251,6.480216050614129,7.679925281214009,8.250580040376141,7.804538317975553,7.130608272137036,5.686716812548475,4.624451412490392,4.286198727631341,4.369649902986619,4.452834136796973,4.500461495566593,4.829195935051705,5.3005542920847475,5.311669726719412,4.793549581210796,3.8362015136150522,2.998180144102325,2.6763531349635055,2.8626202485235326,3.049132182003166,2.972267089565284,3.125822623811544,3.4351714805838487,3.688686366077159,3.4791489896115637,2.7584104384063988,2.086497120954051,1.6739704909594602,1.6335999412142113,1.6818589296947355,1.8018177800459387,1.8650205035660243,1.961595590564449,1.8229034053695383,1.2982894410398027,0.9608593704913262,0.9303941008648708,0.7162370192596723,0.5090859077939343,0.17111997701073978,0.37122481738093027,0.682366615656148,0.8019478622965173,1.1178874085560184,1.463990586365053,1.5188634935723215,1.3811550521481206,1.2975456395914002,1.2532629872872063,1.2118851856239252,1.2893529069287382,1.4737607958410126,1.8635886645403121,2.605641954583166,3.19494102886789,3.7240249422419143,3.49090759376879,3.1470175710656627,2.574152477989806,2.151928217879575,2.2862697210618217,2.567761760871643,2.8669718205080255,3.491946958491905,4.542628331179854,5.07128016124857,4.828817965564315,4.2383987416249775,3.9238366425417928,4.156204497069252,4.798243911067251,5.4470583557042875,5.599726747729505,5.5774107790844765,5.795449394560427,6.234072846351213,6.595583075647139,6.414483581222083,6.174069441118434,6.340273860708923,6.924560119151466,7.642698153784091,7.871036705185705,7.882413694898793,7.556645591049792,7.614755432214259,7.858723817900292,7.8837617895039696,7.4257534361857145,7.078218939343299,7.091798567021964,7.319554733613108,7.61043883207879,7.394502907467489,6.998371288780284,7.136462596870374,7.998278396883594],[6.676008660435461,6.8146458565519294,6.4669863582665945,5.856332571116224,5.644405641313347,5.975996564129663,6.127761014440106,6.177418602486608,5.896192757533551,5.768751534216925,6.411940613644688,6.791089384816429,6.367280923029765,5.775187882213516,4.686632451234527,4.1941369949733405,4.393676821100499,4.674928192977895,4.570297300415899,4.286628522168006,4.0455829169992725,4.177618402447249,4.102951174428059,3.676406218329461,3.0379715005856514,2.704020453992025,2.8073609126340298,3.239181080076699,3.41984112651557,3.062374784782523,2.787711262117202,2.728476827470584,2.8279772100430844,2.6325327199507544,2.071766259004887,1.6655572479190737,1.5640796752667252,1.7017506644500546,1.7633512395284223,1.837649376368276,1.7203359022154578,1.6140161284999857,1.40244942363853,0.9494653600146742,0.8034766719285776,0.8514913959594496,0.4345022104733963,0.2153566259336008,0.4590801826547436,0.7276634359778138,1.076841201626799,1.1416938357797413,1.3164164945084336,1.5056886455131864,1.5003902543570324,1.3728200920964522,1.3424161250013216,1.4396583908921932,1.446902660061663,1.5551391233270808,1.6885493088102987,1.899524019709396,2.364242784446608,2.8462161531137884,3.244449616587617,2.9628929739373167,2.6164557102000545,2.1950101021946153,2.22274006039577,2.7402496143201827,3.0666921712237953,3.064135141905317,3.33511217908415,3.9804526182979907,4.380696374371539,4.180852201567325,3.904735813542696,4.0167054483429085,4.790191490552978,5.690402001441408,6.428149216942277,6.462738747260279,6.193493783854602,5.932676620944262,5.998570092480668,6.168909418429924,6.2104040619005625,6.384706885881087,7.022273647599994,7.944475028722543,8.833652068567554,9.046690216283649,8.925472013092294,8.176616240450711,7.675140912707307,7.523968617613675,7.423696637119293,7.231232834162062,7.344641726140527,7.718558313511542,8.236641372115809,8.692556692245823,8.32225227274048,7.462631764315638,6.793592194286,7.01741535302125],[6.078522930630338,5.987052876617026,5.879715059819207,5.765838664520222,6.1674323704236915,6.966263924605053,7.2167411514698525,7.1729310206111805,6.445395617368499,5.479638167228944,5.345023115822381,5.48665206365292,5.142597580015613,4.732257239485831,4.2212538796616546,4.423066984162394,5.059258853518673,5.4098401817531085,5.066382535690192,4.444780042550988,3.5607429734245994,3.2321198026637625,3.057180206608265,2.813013152274564,2.682231939696709,2.9326272715053894,3.3562807053408976,3.868623089333822,3.9739718709370515,3.341755350635028,2.646384422020318,2.155941966139515,2.0956302814112706,1.958064378974854,1.616841029592801,1.5026723695235336,1.627346443333578,1.8505055841424258,1.8697190934391366,1.8578802125961438,1.5679118669946381,1.3583409785531058,1.2135930424676225,0.9046483742148862,0.784868583955925,0.6315212351435857,0.21263929325055375,0.36605037398501433,0.7529461548808986,0.8835230385429512,1.0547077154499773,1.0616063556207822,1.1175330693010508,1.2462596959243648,1.231750340488289,1.1211378199957542,1.1951872242762387,1.5545727750416913,1.7762941818550677,1.9897976691871682,2.0445852337216195,2.058853951343001,2.0998282518768536,2.387213784129745,2.6232322569751374,2.3608512272185895,2.117065163117481,2.1075627061742788,2.800099575730101,3.665857787267152,4.015389684024736,3.7505570977586493,3.5809144641177175,3.646348710938207,3.8914460340178714,3.853742378613149,4.09324677109022,4.7300968766642235,5.977496176050092,7.067894582363408,7.8600609580653735,7.777625552469379,7.274962534369441,6.556503020480236,6.2403493033810715,6.23489679667765,6.5861994749311075,7.2210330561557665,8.279911948483942,9.454088677692882,10.454938732438404,10.624201523570214,10.357224566357658,9.223356715442959,8.208565304982443,7.695578903297995,7.517991705114928,7.6763779920486135,8.258420879487272,8.946812916644996,9.675356226956564,10.245490290945567,9.722551184666601,8.464452364817358,7.041654439791177,6.505078735544544],[6.129138693244576,5.951161603110534,6.024282260839861,6.190539632657262,6.851852100873341,7.799982373805816,8.055266206639233,7.912970076249276,6.939064311912951,5.563804850568115,4.992136248955788,5.023380296562952,4.784029649326143,4.541503719329001,4.374608006254723,4.851757333280431,5.599564299149337,5.887871528154082,5.362454973702583,4.570092694494127,3.4130599012964042,2.86101514533826,2.6684180348953315,2.5916722366599356,2.770311302179227,3.2278935222593916,3.729657776656389,4.19972928710183,4.225602139528672,3.421593333190833,2.531254415603972,1.8285763918756457,1.7024485333282582,1.6324282637744365,1.427989140485868,1.4454890638529623,1.6344783395618234,1.8727147906569424,1.8291702756557036,1.7108318283817825,1.2874419185624661,1.086846399668252,1.0249010420558837,0.7298141598700126,0.5052320437372968,0.21802974979748332,0.5048683467011601,0.7111729502144035,0.9517055561448627,0.9279532000608193,0.9576624233107588,0.9025721572434706,0.8977361309576011,1.0132569078920879,0.9975654723489389,0.9316898968791598,1.2319554975815399,1.8171644805151148,2.212685300770189,2.483789845579289,2.411794411254032,2.2598572881517476,2.0118584784475195,2.164045514576291,2.3346900713085152,2.145507571962917,2.061959860605793,2.365525036008862,3.3805076410052157,4.378087080574468,4.707016141805149,4.277765902886463,3.8703105699382947,3.647945862243091,3.8517315421495293,3.97104845853071,4.491376642250411,5.383457486597171,6.842286445087867,8.004409269128256,8.80347208718657,8.633572907585647,7.978395654439068,7.0168019079782615,6.522736606111367,6.471509478262591,7.010526450308823,7.882772649635346,9.14446934199338,10.432710857221466,11.476001005341134,11.59650072789777,11.226027871667599,9.883464745913148,8.634780264769038,8.002416587205783,7.846523457571484,8.22459510571826,9.033867616757938,9.866253614001016,10.674818951000011,11.285052377405423,10.665466595254706,9.211027666877241,7.464823845205982,6.556051427954433],[6.119165603177247,6.00348358431275,6.1014131021527405,6.249110872903562,6.8751258226864795,7.789240766733562,8.012775685176893,7.819055717998358,6.7898802962356415,5.391304192688803,4.869932019803513,4.966096645286142,4.760192033102733,4.535257064407552,4.317928832934808,4.7311784897453935,5.434599621767109,5.649162249533818,5.043215346590608,4.231806753813494,3.1059884567744693,2.633163513399385,2.4937406700525213,2.4556366233976927,2.645116796761623,3.0868686332824993,3.566804762202886,3.970386210459878,3.953721712157281,3.096418359301597,2.207486174725721,1.582064657323429,1.5663582898490434,1.5877836609785008,1.4463100263250384,1.4515193498169112,1.5907049812469898,1.7777054011778881,1.6834423489912629,1.4726095060095454,1.0601297438558415,0.8395151765643417,0.7451682622829641,0.43831150642102845,0.1833713276977667,0.4357472629594214,0.7676671817876104,0.9674873769630289,1.2015439949342794,1.0612772361204041,0.987112774212388,0.8586741817134439,0.8250033202088681,0.973078845147378,1.0138075248862535,1.0379569690313026,1.453605568152413,2.0684766908831866,2.5034016965461827,2.749950274478079,2.5691243156205843,2.32534088934894,2.018962960286144,2.1962090442302906,2.4504761154795696,2.322104206829773,2.283933354994687,2.5870410094989293,3.607657456309707,4.5967696176364194,4.8714020069849315,4.343840555190479,3.8740475958064855,3.688617864275549,3.9543483283158154,4.105604578562527,4.609049768507101,5.511674642968105,6.984391412942484,8.129884551412486,8.893490601447796,8.660974571795522,7.924265875283493,6.918427810490281,6.438485668285169,6.447531111769176,7.003435402472875,7.88492849501132,9.158344508151881,10.446127178278076,11.470536105606056,11.549199729036257,11.123274849621206,9.727860198349328,8.483605155080706,7.921093779815832,7.821447565312178,8.217109679197614,9.014293119808865,9.85134879111717,10.646869282927836,11.252082642337767,10.597194843987765,9.10966873357277,7.37139627719083,6.51321343573016],[6.1001882050617695,6.102739475971672,6.102434128152931,6.034035551122617,6.4444892167441115,7.211665370212755,7.3856238664283875,7.186693625684969,6.247652467714717,5.090382640722536,4.929274017655916,5.175615593110845,4.933579680702795,4.622549086564598,4.116319915774081,4.25217572427196,4.816575724776802,4.959835682640576,4.364586158736687,3.6626018747694036,2.781613860564198,2.5808332303189063,2.5355357221027437,2.4283914830135864,2.424601579476872,2.6817362440057044,3.0607614707245796,3.380704730985553,3.3395674101747463,2.5242118700344762,1.7694910266872355,1.419668856692973,1.6183907944703397,1.7208943329904136,1.5601852852489246,1.4764170942766959,1.4751651744302696,1.5400173911765451,1.3973445689394675,1.1720281022415793,0.9413902286403749,0.6793907784075247,0.5222456678031714,0.17863591426538497,0.4580189921304049,0.787520005832942,1.0083571860120177,1.1956927296823407,1.3048150496077964,1.094826219989027,0.9883843086561478,0.8614117198620439,0.8850926218466328,1.1042791530039937,1.1820154796502698,1.1549736361820626,1.5058920372669984,2.061041261385433,2.457679462343083,2.6588577753304676,2.431782831371501,2.2057736950799827,2.078433332981218,2.4244038288212733,2.82078285674261,2.6749543068798127,2.555548508862516,2.6534806685615973,3.4889079102342224,4.386856934826573,4.620628300013223,4.089133341012168,3.737649578281114,3.8321332432218607,4.217384484184448,4.2941469022766015,4.548357238421504,5.270628813920188,6.610595663158659,7.6896177685438225,8.41300766106375,8.162400676322259,7.43110901487741,6.5316800460563105,6.196279774413165,6.3085554645669575,6.747331387210171,7.476398381830825,8.630985624505632,9.849500836803951,10.835134197968237,10.899678685805602,10.47934157382441,9.14855818392452,8.05953296573731,7.646468852004746,7.588717240663192,7.8616335325910915,8.510359978428614,9.261457882766315,10.004580673968393,10.584986048190865,9.956816281077552,8.5588784371684,7.040465394816128,6.474146511053463],[6.49190561228295,6.7313803622558,6.510415045206312,5.938185770248785,5.74502694976021,6.062138573850432,6.118970858128475,5.96925409319582,5.383213720455,4.982637617543552,5.60564393422779,6.104130337218578,5.803524979647188,5.338205842631894,4.275554322083106,3.7169402051592644,3.823027449950936,3.8389511752523746,3.4056125335863814,3.0583814498486137,2.8666572194752096,3.1354666633917696,3.2019594261871593,2.943465687636219,2.4679665627457856,2.1593111226314314,2.225796559830553,2.4135090547997597,2.4202937464460503,1.8453571461570806,1.4856186639009745,1.5875771089994664,1.9555767383640872,2.051130046748086,1.768859130206279,1.4911426593433919,1.301674137438654,1.269535824142279,1.1284805382743395,0.95109174299248,0.7716732554071141,0.41308217193047336,0.19317604099083563,0.4993627247038406,0.7425631288913499,0.8187906503387038,0.8682336887781501,0.9649076060184127,1.066610850618903,0.9241970474145245,0.9029003388699228,0.9333273364445475,1.1933292562116657,1.5774152432717112,1.6391225500215836,1.3394454750253981,1.2234549458726982,1.4887246486045849,1.7834113343827873,1.947939745603041,1.8459232283336193,1.9206352551046202,2.5031551143354918,3.2219493640922923,3.8598609018732875,3.635337242411897,3.301979184556166,2.8305614405280255,2.955511471963625,3.5349001187341744,3.754637235799138,3.4757513712088324,3.67032325041254,4.502362125869045,5.104353218537797,4.99616320620377,4.633970404041533,4.7375733397578506,5.53163900496351,6.390640878017815,7.0353700773816685,6.86405038018119,6.329213427985722,5.922328935823254,6.050429180487828,6.403360099389205,6.5004008262584625,6.717697767118087,7.409934313984648,8.365472348868602,9.239320198954845,9.333624985122869,9.030145250832254,8.031061070129564,7.46416823597277,7.45080396696977,7.482929073120802,7.405405792667781,7.5766308626334355,8.0034998140163,8.539434146158055,9.019589373552174,8.515322183760508,7.4581653798378245,6.618537734419964,6.780796002004136],[7.31098110265882,7.706282422669855,7.336069080137749,6.416623450562713,5.678045264010325,5.445873474526061,5.32472001446728,5.21670972405313,5.062875945340508,5.411555623157507,6.547826732993952,7.162623176189405,6.816944080899352,6.248307867186897,4.863949151757045,3.7780940710498623,3.344826871638163,3.168948917854508,2.957452055190143,3.0071975142454654,3.392148525857514,3.8956923145090827,3.996307022104801,3.655009490145703,2.926511979348056,2.183454535974716,1.8258943000740075,1.7528392168424716,1.7511960190353641,1.495256471166366,1.5476356847370354,1.9027600909163287,2.3131034331996205,2.3600815151864576,1.961659061424395,1.507790226248992,1.135218427453725,1.0712728443024582,0.9099524822390926,0.7078379209446755,0.4710878491892755,0.1952571033672243,0.34613031874491684,0.6785596059690634,0.8189135153973517,0.8556171631822422,0.785128734430532,0.7927739055337446,0.8742969664332043,0.8296286611014373,0.9631389053312897,1.2134828537603233,1.7352341331018935,2.2601460556220028,2.359939506811231,1.979101447681508,1.568218956002632,1.3935298075985074,1.4675218552799427,1.5762936429038223,1.8139641441673071,2.333648285651859,3.4296908939687816,4.361747780958206,5.121223744136626,4.876250338874942,4.467184387613852,3.727422737427195,3.2374808998150066,3.342159986795838,3.5624295733918627,3.682357285209262,4.416644460814973,5.712846292664301,6.43592248762177,6.242888655709812,5.502693953574644,5.047944183934949,5.113372017383067,5.60257691905817,6.107795336989199,6.067111100564131,5.848092266429577,6.056071955303396,6.620953399381424,7.153056217335879,6.959028509921045,6.66876448163525,6.785220347416907,7.353153273833354,8.028900429458233,8.14265420793867,7.983426335832241,7.424604758684592,7.457818405205177,7.824646711977802,7.935530933872457,7.550918209681698,7.230077359915629,7.262532662037043,7.50506327192695,7.82255226313037,7.468807266734044,6.848630776243233,6.756371384520216,7.516286083486859],[8.157599790409868,8.621174552558672,8.173927496952489,7.095194473515271,6.047791588995912,5.401399683103604,5.122801189044009,5.048700256037524,5.255843490374724,6.077686744576407,7.43755218488301,8.063827484419406,7.679591776702587,7.045792500700911,5.534139364532464,4.219896250772343,3.4408052820563717,3.1168205918658303,3.109059617444193,3.4042470104916447,4.041785594901452,4.5981636920372315,4.6673464050482805,4.26144949002785,3.4175623463329483,2.4868539816771573,1.8886371747514672,1.5757645491139973,1.5336996511726584,1.5825069663243445,1.8574502683825584,2.2496859029531833,2.6119130797518597,2.545475061452351,2.030880528522874,1.4958657719207002,1.1365088815451991,1.106796424739907,0.9254983554179737,0.6136157321943345,0.18929964411228767,0.4091214537407189,0.695980468241493,0.8011248428545115,0.9041751273287735,0.9143366813871765,0.7629654864543514,0.6993069660770146,0.7791363006065067,0.9197162443548592,1.2605669993195352,1.6960159194087019,2.3915088485375433,2.991113235203124,3.092327892248426,2.6727631261688507,2.2058243527888854,1.8504863525158188,1.7785485169340016,1.854322652297948,2.3789884652979203,3.12506136283858,4.450300007453931,5.486079231215535,6.288779850442886,6.019583017065994,5.5758449439324975,4.749568495974857,3.9825324535873405,3.7630819919745924,3.9815005431511543,4.393884047595146,5.414608619246161,6.910958598735791,7.678447426508549,7.438382872568413,6.520459879749104,5.749073453474595,5.26307296138905,5.3816329995763414,5.725921845967895,5.824306490050033,5.922624349947579,6.612294136587101,7.43428433175674,8.041749384190377,7.6638271145711006,7.036217259729943,6.684773494963356,6.871756282716921,7.324811317735485,7.453495275753242,7.443083493900175,7.30780092534575,7.802830235969081,8.404320730835044,8.550181752448559,7.9680549489139265,7.301087647854479,7.013420662379579,6.979791482831375,7.124321972958451,6.925889699331133,6.7246193358816,7.198316577706817,8.302414047549588],[8.097508062924337,8.537000585301133,8.059240497437745,6.961483178291908,5.87427111473038,5.16199521216438,4.891879123529333,4.877439785064649,5.199957966846598,6.085856226334505,7.41613821266878,7.9646208627852495,7.539124884284121,6.867569522240139,5.3831933260409155,4.094622046530339,3.3216713268693487,3.0539283542042406,3.150859458309611,3.485166859717531,4.088144099082956,4.577473489926068,4.565348041831838,4.117985916273394,3.276484254860274,2.377371994996961,1.7985797155137668,1.5144581235758285,1.5343884643113122,1.6619772974217708,1.94248176118579,2.2494082277463594,2.493861197304854,2.2904415861915024,1.7031497546252805,1.1925670997832067,0.8679279378833912,0.7564049615153848,0.4235089685629787,0.18603995730141276,0.40746838235586075,0.610126379392794,0.8246800484355893,0.8911559183795371,0.9425878141907778,0.9073049825840976,0.7761689251073803,0.7391497414487621,0.8972206190792796,1.112149771560436,1.5502660447725929,2.0907848797828787,2.853753696920251,3.4334495125026634,3.476452033428437,3.0189705255648116,2.572523712822095,2.233593663401273,2.170369728872609,2.298276125272937,2.888794182113852,3.6459596790175732,5.00986992537218,6.067402070734142,6.822260672937968,6.4940500258771845,6.011252607607003,5.174380147904646,4.380783845202872,4.122555453314466,4.383046628930869,4.844262148835273,5.915270375857012,7.402200677491329,8.131648841276858,7.847913802425306,6.872159609170611,6.007857441159682,5.373271380295607,5.381718175517503,5.661843540096624,5.814729522696357,6.027929423151873,6.821522195694913,7.652209624348561,8.212038752997946,7.759390550503734,7.038069263636514,6.572009208053573,6.686547159653395,7.08763227012518,7.245559042649533,7.305999123120396,7.286571520062181,7.855037695647439,8.429553295080018,8.522317596269046,7.862862847225485,7.1186736412848814,6.761797254362028,6.698614813323517,6.819702802390959,6.699755106201818,6.620115208618477,7.173468966043669,8.286133394743546],[7.800751007659379,8.189851958113112,7.6891576161862245,6.617373480794187,5.5668266302216765,4.893461221887216,4.678266890013349,4.713920880872787,5.066921201166448,5.916168355792638,7.16669346496507,7.628386690809296,7.166592666461989,6.47051134122435,5.046631932809855,3.8426490886427875,3.154722103441269,2.9729385852108483,3.118395202813416,3.4465251037495412,3.967099457064044,4.361856443843161,4.2724845652301795,3.795782892485428,2.9946761101052948,2.1867884661235686,1.6881099031485733,1.4776794104517277,1.5594779406709376,1.7008754226478717,1.9300188886879726,2.120023377913216,2.2072114881030545,1.8763312620091932,1.316495793039241,0.9729963628056696,0.7348236547785846,0.511440132990092,0.1653963974179845,0.3660847582223257,0.6007093722013219,0.7614546434721555,0.974558434966415,0.9960965245470359,0.980077008575225,0.8934435829700658,0.789556949686136,0.8345715714600384,1.109022174441119,1.385079629277732,1.8896744982942695,2.4796469004650317,3.244361786862502,3.7737648614768817,3.751568459243584,3.274314091769882,2.8848845818825475,2.628958972469507,2.6156847849876788,2.8059227024422335,3.3934910729562096,4.10339550858703,5.423961550247494,6.45244639074877,7.134849778692452,6.747562194854072,6.234542831379984,5.418799803510981,4.6674504712070055,4.453141579890538,4.75052023995118,5.208145825986683,6.263925057474296,7.68236301719825,8.3504084053877,8.021912668473774,7.03167335353144,6.151933168463556,5.509746963054322,5.510602383575869,5.781422615308677,5.9422377849182,6.181631644518302,6.952432582429968,7.722790289084685,8.203543370941503,7.710109992926508,6.968622455908557,6.503190432967631,6.640990497877995,7.046938543053481,7.219185223349308,7.296839995349873,7.261006754750417,7.774152605894438,8.254065937245517,8.274969016214937,7.580668980640018,6.849199194292104,6.518488366615362,6.509760646413167,6.657823421733301,6.576542348982937,6.497910155756836,6.982571025765479,8.019651506122976],[6.161509212844329,6.369509870278741,5.9335058885206395,5.118680110758449,4.523232087980198,4.464505318996083,4.539056211305098,4.6117625626249685,4.5632151483114844,4.747395588078863,5.56066861598741,5.855834065099579,5.393894559142962,4.742991931175856,3.5676015606008304,2.775493884255019,2.6338846309457478,2.7696549135192665,2.7997352515396896,2.881100279243024,2.995021624912258,3.158932866260331,2.998274710983829,2.581852223631907,2.0259658251819554,1.586579604251056,1.4386395922317345,1.5320803966211751,1.6664837596397135,1.6054089864298977,1.5438444173439427,1.5709124633447182,1.5893527720202922,1.3458536152978797,0.998654723081115,0.7773963582807096,0.410870628311111,0.19645066826699067,0.4127143185858081,0.6462639617554549,0.700616547162862,0.7972620532365272,0.8772889016627641,0.856225608421286,0.8166918135356178,0.7766291387013109,0.8532850589663351,1.1324701679854532,1.5933588055614338,1.75103533356461,2.024115676331574,2.4166190641734384,2.934300791103716,3.294691897580272,3.173528599745342,2.7272634330170225,2.538144850303786,2.613136890667587,2.812589198579846,3.116034131758483,3.490535307911803,3.874788036630142,4.798829961696016,5.633541457079831,6.129909618576465,5.706556265668259,5.214557183122476,4.586020327830883,4.237683036866884,4.42848435025054,4.765559844549439,4.843527608901387,5.508821996960306,6.513973585720482,7.019651686351046,6.6963888944281145,5.908496155211321,5.404923289559211,5.426558818906495,5.876977241577187,6.356981597887743,6.335304253854182,6.176685132338139,6.279113785082567,6.610110007001511,6.8652396463564695,6.575256666208861,6.289814855804739,6.4815774069738685,7.193213554206039,7.921266527777237,8.095448822732855,7.98945339412384,7.349471649548377,7.150781961830467,7.15651744131731,7.018439451500716,6.575335809982657,6.369725035830152,6.517913837760189,6.959235179442988,7.370252411746769,7.142755404442574,6.519489608905817,6.115188697002856,6.520790870777989],[5.262020234872204,5.239740018100182,4.934491909543028,4.500074821010982,4.484444559166266,4.971018796784828,5.2055517067129164,5.232560278690943,4.779179918646899,4.2035588944107785,4.396071207332626,4.482992113597804,4.033407224620984,3.456411072422133,2.681238409727745,2.524736065087982,2.9164171633194016,3.1952292554826602,3.041345132954319,2.8370343204886286,2.478071034928458,2.3335327378280555,2.0885249708234617,1.7733170948665804,1.5731612078144717,1.568454167828286,1.693757369044823,1.887454477576247,1.9610442794874172,1.7116468150805777,1.4196639272961462,1.3076946168224801,1.3365717907246348,1.1534810597936207,0.8921892343394678,0.5760393436859003,0.1986473550749749,0.44356024558727264,0.6631663220109488,0.8074355066047049,0.9325631964942668,0.9107182080515439,0.8644661585460163,0.7980852884005609,0.7872132896247023,0.8733973326183803,1.1788021070813597,1.6811348186574673,2.270966349367978,2.3659127784158285,2.4089874506957774,2.5189082585924294,2.6910120439829956,2.859218488377595,2.6815306782805197,2.383631246388056,2.5317899789536753,3.0075816157764397,3.429690263326201,3.8135410219184886,3.977150072435163,4.008568864175824,4.4079206964565,4.986794743151647,5.286282454060159,4.908560674441087,4.526882038283517,4.243632651182879,4.460469753444797,5.039962258364081,5.373771369425743,5.069202441713862,5.240828452789847,5.702464439978866,6.039820100571649,5.810012638575109,5.383057030211463,5.41850756651478,6.109861219138024,6.898872099053247,7.496773654219648,7.324057606865343,6.838745091514864,6.303635646739655,6.1596812393741285,6.182876727410657,6.21364392271599,6.488417835987719,7.271895256242701,8.366140265530586,9.267287790419424,9.41868752325499,9.161758878785186,8.077748825197967,7.275017022363559,6.8514660192202825,6.598487271173194,6.513084835336687,6.855075777820283,7.3769556597626655,8.087745245685593,8.631449332586335,8.281483039374114,7.267597389564872,6.105937334991936,5.771282823071951],[5.007137702640563,4.783902289691488,4.671230218390314,4.682200036705864,5.144700936251503,5.938362955573656,6.215059635043728,6.1450486402454425,5.3793806870919,4.201668569282337,3.7299548296887175,3.569728774240899,3.1392039290827154,2.7062470605475717,2.474389180175343,2.861793243839201,3.4949433071414706,3.7571271986056973,3.419116983316843,3.0026783656977916,2.334951343132061,1.929189855560936,1.6027015489486143,1.4288658795408606,1.5830269819418508,1.8248841197092551,2.054642936193487,2.2146270359848708,2.197735800934178,1.7515258992298441,1.3917925141682146,1.226217211045591,1.226420366412335,1.010210441108099,0.6725622138661308,0.1964805980757906,0.41592153857325015,0.7656934585898251,0.914333862128346,1.1766761886632062,1.1542355295646827,0.9922185670481908,0.8713010642423146,0.8026590873168883,0.8847912248728789,1.1621012429924475,1.6795591945512962,2.3416587626422145,3.0094366388531917,3.026661573955298,2.880500085842871,2.693235767246807,2.50540501056098,2.4992871417205005,2.331389373218818,2.309038216325044,2.8533424135049046,3.6643794171472,4.255296469893992,4.67694655069429,4.641162455655059,4.35734805371134,4.209400926210907,4.510431386778811,4.652538543931684,4.417471791641194,4.25295795525812,4.398259692219307,5.135677713927188,5.978812987722488,6.264186276831034,5.628152473852129,5.335582559555155,5.251333854065163,5.462869559308838,5.423104624859692,5.4432153533334775,6.011116123038529,7.182841188216046,8.158404453478044,8.79956930512058,8.489473210643824,7.743774198958699,6.725730594748593,6.205522457310413,6.078505584910625,6.451758823318149,7.210930331551965,8.400180224513893,9.701798193861428,10.680683072308437,10.767862815777317,10.36370819013607,8.958494254022092,7.7344710399592485,7.04845736746022,6.772045036011692,7.0351526848778585,7.766049260009204,8.523661230410209,9.36005924610498,9.962496734375762,9.493226233436499,8.202756318483132,6.536124548128349,5.590820619866285],[4.956147084928869,4.682327732966117,4.643688176875031,4.820326369648633,5.428486333649317,6.295449076479751,6.582462500914287,6.464876427993757,5.586917632248289,4.196098018597714,3.4355543095984484,3.16125822558081,2.757364574262323,2.4328550993882527,2.488541340036063,3.0580602447607013,3.7393716343646863,3.946730999540612,3.514910694814854,3.017811142390393,2.2918372706944785,1.8249752881741224,1.5078654113859886,1.441059692988339,1.7302870546921734,2.0200629608849576,2.2438894195403667,2.3193267601530594,2.2108723862276625,1.6614297151797293,1.3719906281790948,1.1657729127122451,1.012738203209528,0.6792687991232876,0.21405516763628668,0.5812585667287475,0.7715997641345574,0.9980646665447293,1.124898430672974,1.3266222130626668,1.20795820027588,0.9798850867241887,0.8761014257671791,0.8646544467722602,0.9947985853747474,1.3352674384656134,1.9224266672894261,2.6547355166978908,3.3478660868294425,3.300987289885795,3.0553790674320958,2.7330250987022744,2.4043256776468085,2.3628362987929306,2.232496709328629,2.3419353082943126,3.049411409857352,3.9843904960379852,4.644159863099629,5.077920398772806,4.953498998382311,4.553299270372125,4.2183202996209666,4.448862199139291,4.58125059488955,4.4361764214559845,4.381217386689467,4.67931277727552,5.572930967725489,6.4765821840171744,6.730883820606967,5.964362360553801,5.514619230325645,5.264678266499431,5.460702674646747,5.504901312218218,5.65928348091945,6.377342662273147,7.666439687030547,8.672550276592265,9.293792478810364,8.905916916408211,8.043040707814157,6.854792391434645,6.223371867091109,6.08173647828976,6.5813160933745145,7.4947364395377365,8.805928311563163,10.169466490885727,11.158830213858561,11.198108649394118,10.717535872882678,9.184550084089176,7.827854244082341,7.097084625531657,6.853053366262357,7.255542846751974,8.109927015712477,8.938476579979517,9.806975069133479,10.413759779423893,9.889382996025661,8.501514760714397,6.682758106223599,5.540244591340052],[4.51067452490303,4.374529605885405,4.2756883841675855,4.3091562019194765,4.791060876742461,5.598832854414721,5.884490463045931,5.758415623069182,4.89751821131224,3.5873802974337607,3.0573293495631835,2.9567421852282885,2.579568271351538,2.25035743194879,2.1360595865413736,2.605586685790974,3.2684632613939026,3.408964960049737,2.9450807358732325,2.477342999378652,1.89302825349395,1.530510035983906,1.2827023360825927,1.286893785412096,1.5890188105807934,1.84198287812745,2.0051035256036416,1.9683535484017813,1.7796444840873902,1.265424713521186,1.0030307935518226,0.7600927615129285,0.5081622674450245,0.20421909296923357,0.5300028983063853,0.9568207814413862,0.8637919138619483,1.0121696048018227,1.0205909789094905,1.1191099541350176,0.9639716810554861,0.8029223620431504,0.8752046352355233,0.928385638436907,1.0631151963329932,1.266073717496913,1.7274490567186553,2.4030047246939668,3.0550478719288368,2.94464755222656,2.683541825841237,2.3951903494620606,2.241121873711711,2.3756146980159567,2.2566438150576777,2.133428703784246,2.683014763765382,3.5476211861143145,4.187533835682756,4.623479249417669,4.525696060276989,4.22139455332221,4.177540424807719,4.660125801555434,4.988798460078637,4.770478911400943,4.579050411438021,4.614533099773219,5.269318052224334,6.05848846801692,6.299173123769969,5.595824480786594,5.354810712139558,5.467238268748332,5.818025458017386,5.755719638716501,5.588047743145889,6.022898581582715,7.092732892399062,7.991879180235766,8.55121505588132,8.144042237392899,7.294388318619466,6.246038358850935,5.795711151335635,5.780391255792522,6.123595479564426,6.846275051981047,8.018495873296777,9.318925997613793,10.271180719651603,10.29182149078126,9.808122751767117,8.328302033638634,7.122919863648649,6.553268563572135,6.369240074160441,6.666625013431581,7.386739076783405,8.151012411358892,8.984510924474577,9.575041208695822,9.065428563402461,7.723103084084482,6.022393852150914,5.08342711759153],[4.4151272933303956,4.438379796547167,4.228726796722426,3.993155846085473,4.196225478666921,4.839085685425199,5.092056563750754,4.983688591337112,4.225246487166268,3.1543877638522186,3.0216610942197315,3.1157471632233773,2.7584931053252904,2.4001472961192163,1.973684208939252,2.1583542838856835,2.716320526114871,2.8086043673976793,2.390022447789355,2.03319301147465,1.6870338371551605,1.5072676929441318,1.3442091340753863,1.332160664626592,1.5144617364498414,1.658831590232257,1.7205068378625101,1.5972903496052222,1.4046591279751646,1.0764541703928303,0.8349367756941054,0.5216327251356663,0.2227788978714417,0.4250673783313369,0.8407638696509827,0.8908637732945187,0.7935706871405049,0.9217127373300494,0.8892844362716876,0.9551922682670523,0.8209803100469514,0.8815676711350044,1.2145934500905102,1.357723637276938,1.4775770321720452,1.4259786022784005,1.5441107586365725,2.0352470596990258,2.6154895310352435,2.49136095766831,2.3055700423837306,2.199444509049097,2.4379927175713916,2.8299158518919607,2.756169508003547,2.337659378972009,2.487016810217643,3.0924048494512597,3.6466157088646645,4.0715547746484875,4.085032717051554,4.001323783562003,4.438144870707871,5.226649747183953,5.765030567174301,5.470096901036992,5.12217384780294,4.800489171299709,5.0337666968184855,5.604910144264023,5.8449413437733,5.334297014298166,5.44761665783216,6.02544372228527,6.536688933610167,6.349333764017591,5.79641670522047,5.7916730406564785,6.454387718500103,7.167640846362288,7.642552834049522,7.265977779718391,6.535650917543486,5.811454511952135,5.6890960802602795,5.852531490579603,5.937088839530687,6.303460684694067,7.175151913172316,8.320860810244016,9.208650807068539,9.237817970889186,8.802296498734593,7.490063364395893,6.582986853082196,6.269009071461001,6.155721620172894,6.25106864733943,6.708935973328755,7.3228189396046135,8.06658284557696,8.622244772448592,8.166099858617075,6.958247191660475,5.5219396342312255,4.946741886753263],[4.843507996530519,5.052942151102537,4.6976722982274595,4.0712128400562895,3.7220264666030047,3.9342206089709335,4.0573342464765485,3.9893105054010136,3.4958472035329224,3.0023659658243855,3.461724356052228,3.7351997850629197,3.371148426732951,2.949206617810682,2.1303516452749647,1.7440640211408232,1.986977890157819,2.011857251137487,1.732659320634936,1.613957685424202,1.6236648946692471,1.6653895804889542,1.5684953130207913,1.4523154957853044,1.4087886033403632,1.3583696927981768,1.2675056503923654,1.0950594877729716,0.9892388497122917,0.9749353488615192,0.6308395957281032,0.1847282951013267,0.4391023100592529,0.7243038026335338,0.8640969995787882,0.7478228721089083,0.7105411384695888,0.7700378214758749,0.7485563638766874,0.8181795009211034,0.8386445733044311,1.2318612772997344,1.791108612722168,2.0382264086730273,2.162897239694791,1.9061988615689578,1.54800133889659,1.5956009155946282,2.0068473076483353,1.983386687109169,2.099113759345274,2.4524964968011,3.227085126670347,3.8596353928503557,3.8522941831872033,3.2438204449285277,2.922282293032926,2.970792401586012,3.2620233628650266,3.6176328809437632,3.912843151357432,4.266124442628212,5.340187637713597,6.434959794989336,7.1608499270807995,6.795530236295923,6.301068222493478,5.610764959580297,5.246823790172458,5.412662150647302,5.659485788960861,5.551595464182847,6.181217912193852,7.276235872738156,7.929610148295651,7.625091050998382,6.683805337594143,6.079741642367107,6.007120907511866,6.321075547979013,6.623858590945142,6.36042718501275,5.958067437978961,5.900792730511983,6.268463339967071,6.632840751605878,6.368011140840631,6.150671498312302,6.410242011745695,7.188008348590973,7.906847421909487,7.965787305327169,7.664597405195428,6.752009782005528,6.4181365126307774,6.495757835466113,6.465633378876238,6.228375201872373,6.1915072030109215,6.463893307598579,6.968942383512595,7.410732312571991,7.0616297980653,6.146630942743058,5.267526692267074,5.293446256197735],[5.51479408282697,5.828350061133781,5.4010993744208955,4.546975648916352,3.776824198495137,3.506786504489836,3.446863915326917,3.4166833983310805,3.236034427616058,3.2984140987047534,4.0875529033550615,4.431344636980722,4.073017368043219,3.614971154765938,2.6234438439601813,1.8799166149191924,1.7279982526120083,1.6589169439401295,1.5383420739365758,1.5869050890508403,1.7838394448838053,1.9211093305933673,1.8334719482344284,1.6364645452470759,1.479075061163678,1.3766405490250748,1.2472542093138752,1.0433388000063604,0.7931148146933069,0.6003461198218362,0.238454507700266,0.5073524347683639,0.7836295204301394,1.053538098885897,0.9892403760104506,0.7904806550850316,0.7335358062318541,0.7736172117292304,0.8268617867580068,0.9504952756447897,1.1866548826312584,1.8208229210980207,2.5533862441381667,2.8799760855252683,3.007938067359119,2.633373329845024,1.9988425353424966,1.6297499604620007,1.7660614206721899,1.9122506413590354,2.3656045564171464,3.0869426024315314,4.215930432194911,5.012196171698018,5.065121366430291,4.3898538225241,3.8329329468817632,3.461316119835548,3.4764887063216623,3.7395700788509645,4.290485571538198,5.006481090817338,6.4824803309440995,7.756170766924512,8.595035987827618,8.190616482927668,7.617916317232428,6.720831958522017,5.954402647807512,5.769831249907773,6.007140419085614,6.273363106088377,7.249547382037477,8.653907740902884,9.38160008591699,9.000043445008025,7.846634030192458,6.852481987182658,6.16066576386851,6.0438417171992675,6.134602710996433,6.02868850535242,6.006994631154277,6.539883405194534,7.234278841350242,7.704471487683038,7.208160857863957,6.556395706387857,6.2252169230815335,6.54168420103369,7.020310713578841,7.101939067239091,6.9588000816964035,6.5081376376764934,6.706583390358725,7.068214367352993,7.090915907491057,6.599100260273822,6.130824231399708,6.045998302461106,6.2674828830399205,6.5558216111496055,6.326284522071618,5.744744214728415,5.415043726546949,5.878647669701698],[5.926982284152864,6.260706053450689,5.801904885727305,4.879269393597482,3.955624475000653,3.437534972007137,3.270464176133295,3.277709276931751,3.3034725597051553,3.6257440410939954,4.4876795549898185,4.815621194185072,4.444666399795278,3.955048290315817,2.930260901495333,2.085780109587266,1.7318371980470033,1.6328795309507942,1.6454838290359546,1.771772372774846,1.985180721207338,2.1025940085338526,1.9636118606104047,1.7238517199464987,1.5700048127562087,1.458642058221175,1.3234950069155593,1.0250101585931475,0.5918702579023026,0.20879544111422907,0.4118126437831897,0.7802864944360807,0.9619118309378349,1.3105108282047373,1.1621083579989901,0.9231995548938393,0.8093234925450741,0.8271476631645277,0.9673126896425873,1.1586647115749882,1.5126132828605288,2.2687585611657273,3.114597860533882,3.4842462936506555,3.6033093897996973,3.164752867188285,2.4395913927056463,1.9268976516326106,1.8924996805194956,2.1260542593561813,2.7221168711214037,3.6120329202658317,4.922386156872161,5.808680237408846,5.896812091234352,5.206001964147473,4.572045622344312,4.040995281653683,3.933928494448373,4.156986378316276,4.810033323911846,5.670865418593563,7.308826978984753,8.656401778924028,9.537649487181186,9.111224966515184,8.503124331583766,7.52891840665843,6.596422978234906,6.235166574110968,6.4516036682444,6.893669034738114,8.014004632704909,9.537779505358602,10.283867916131666,9.855043713551321,8.612680512093737,7.441431667374659,6.437722067418325,6.060263267543071,6.000809868917405,5.995719630495781,6.21503952428284,7.042209541157413,7.871505123797599,8.375002160027961,7.776474659743774,6.9233688860592135,6.279720352513409,6.283271082964702,6.580352523278183,6.674277543190014,6.64222515563126,6.493324386568166,6.971865336985681,7.4524005774387465,7.491410122189319,6.881828804812922,6.197568826491275,5.9100825823020955,5.953060843767429,6.1303321241587785,5.991309395076517,5.64125831506846,5.609470997950154,6.247252921040642],[5.5417681159642695,5.8073787539080906,5.326701853603908,4.450490178419846,3.606335781435513,3.187827168231461,3.12205869821051,3.1975279835362524,3.2461808751309187,3.501150258684879,4.26196667521285,4.498605996616105,4.0943558065484,3.5720104622631337,2.6013696068586065,1.8286734024565778,1.547554405249791,1.5505912479961639,1.6477076134309765,1.797205183663736,1.9338705651578074,1.9586679786039445,1.7037214043703561,1.4236708438182941,1.3277663408197757,1.2544785698837404,0.9336942337223089,0.5607100941743327,0.21298557020982353,0.41061762119245165,0.6144253175479981,0.8054243340319618,1.2721744052927444,1.4904731227918016,1.2418188018419358,0.9825245399201484,0.868609748309403,0.9233908945230074,1.1322049239149885,1.3692746205372024,1.7525072916929587,2.5395864029760813,3.3775409225185347,3.6751899931875003,3.7060046011165326,3.2037922409143254,2.47461902374422,2.0533137604355414,2.1483593169159283,2.4151518825001093,3.0001797421185024,3.898252593784516,5.177795336199228,6.018758727611072,6.049775548682983,5.346146248580968,4.739993680168882,4.284869860278557,4.24306629740366,4.516380573047228,5.149442841765817,5.948827758127423,7.523502350216922,8.81968660061664,9.62899575502091,9.15209049252509,8.515467060342557,7.563637574589231,6.678470174508233,6.360990219464352,6.5883082651573535,7.001535725333586,8.077785455860552,9.519224354000826,10.1903631841538,9.710050097119636,8.478737217266104,7.309657708804997,6.344846786209227,5.988303524254109,5.949816620700267,5.9482500775742455,6.156505099569468,6.927301509337989,7.688377655388535,8.121873459356546,7.507300644698035,6.667655785965942,6.0705767864058116,6.132524024987613,6.468145507896973,6.573280149646755,6.534687655619889,6.33327389314646,6.723058546845886,7.106483468389662,7.090472228697643,6.47277759804236,5.826401755815055,5.5917387079434215,5.7233571045307885,5.950095070871889,5.839573821936407,5.479946731622209,5.348537518810076,5.883964101774395],[4.905978714386089,5.043868642469931,4.566844667446256,3.835641753843624,3.237845082599725,3.122741859619004,3.225724333592568,3.3520036306026846,3.281523772093242,3.238456001291953,3.735741723326425,3.833533853968441,3.41094116170945,2.8976901514749405,2.099527090230825,1.5469303353545476,1.5007906424277389,1.6311565703555257,1.723055918687867,1.801237204138144,1.7821693421563378,1.6275859052951043,1.2656760944280359,1.0656008228293516,1.1391159460735538,1.0599317483864974,0.585093947098112,0.21476617082762678,0.4599541310353065,0.667536200616223,0.918989002541135,1.1182172381074889,1.4524190283764116,1.5617503160214408,1.310812828939297,1.089875999569754,1.0274449072622331,1.134231868581245,1.3485971312639726,1.6093647905540693,1.9160905577330045,2.5949305039617894,3.3392637470924194,3.5508746530908093,3.499504938683361,2.9731141274652026,2.3253868828468307,2.119941329236905,2.4515473908568963,2.6858465660154955,3.140107133107557,3.917763314545923,5.047624520304989,5.796246664634297,5.770261179355762,5.086733860544926,4.578709511121015,4.309203283126539,4.408951165384241,4.762922229910511,5.302902295819628,5.939090885397633,7.309905083631656,8.485469122894639,9.181033495076186,8.677816307479615,8.048294758656644,7.199542164180255,6.493579853783007,6.345440740058274,6.592540121610033,6.861032677813609,7.777809522372497,9.01901483550602,9.587357691536743,9.08153724034631,7.926814429310555,6.897186507739204,6.194693523235525,6.0296756140824215,6.1030793779642964,6.036232019061971,6.084809369666225,6.559390002847194,7.124438827014957,7.442681663073767,6.901121251133072,6.248261544272165,5.9438070028682,6.276872952443752,6.769368995524571,6.884911705526831,6.779484567741254,6.332586706048169,6.408952120718811,6.586615731411935,6.499847646905439,5.995577675820054,5.588968665421508,5.564062066160272,5.904458978366576,6.238461207072131,6.104820756480022,5.594971397875366,5.113956013879894,5.330671242598763],[4.049650200795423,3.9645179414669176,3.5558979016027297,3.1514751695372283,3.070379419552904,3.4414426555473256,3.7046398986860036,3.8071629283949204,3.4596513712130754,2.8613602155184488,2.9036763573092643,2.8713572777757888,2.495924179866251,2.095234138586846,1.6099393937576216,1.4046886317989042,1.6236014978309015,1.8191452592308701,1.7957758309264584,1.717093869495084,1.5365770662112526,1.2644453406646912,0.9789598571786173,0.8750965492782563,0.8553348903004223,0.6335320643469938,0.22801219274700704,0.3535869494798179,0.6411452611646473,0.697437925344646,0.8681990344576104,1.0772623443900644,1.2602087296666424,1.324680102050099,1.0976253285782847,0.9936742959141731,1.1768580856981563,1.5508562901720948,1.7368145930831658,2.032042034824321,2.003430952486487,2.2236655343198795,2.6971787532169245,2.77744677809265,2.6604747062134426,2.2404128824033283,2.0711824810173054,2.5499532318800364,3.32067597590143,3.437394361620529,3.4981681960477577,3.768175366740226,4.3401099506139404,4.839932267997978,4.744131269178603,4.217740627468261,4.08233942977468,4.380363958852284,4.834165811490854,5.335946295467367,5.596007454907587,5.754356322635799,6.5031940196115,7.3701157204256305,7.846703220340674,7.398441554329438,6.8813717206791045,6.367511292342901,6.198541101511895,6.4818381366208815,6.740937683811856,6.580899345768421,7.014747107092391,7.742901689791575,8.130583566599965,7.678042017053777,6.802625489168193,6.261851478820807,6.2944334902830334,6.610762487882924,6.906726130162357,6.670754301265932,6.304648544698311,6.032003200077983,6.1221154575934635,6.224561315792264,5.9741296928252545,5.889359500737053,6.286924449248139,7.135406391650482,7.8783325598921605,7.973198794627774,7.698684101740355,6.7476191642794285,6.1706523871881815,5.9410642843848676,5.76368436198589,5.595588747070094,5.734090591087721,6.092050547393146,6.728719424840516,7.2053308094060355,6.973033952060992,6.153095805767886,5.052911358158316,4.629396710160138],[3.752280350911391,3.396895023188174,3.1284960488600926,3.133608141401203,3.5279803918124077,4.193939690796509,4.503903252798033,4.523998867406729,3.9144786282132764,2.8025613054426106,2.226517660412504,2.0184083941390556,1.7163510396244808,1.4956763133489548,1.433827847926996,1.5652312807482869,1.909898882735312,2.0626159619443483,1.8461661388190063,1.5799133548199091,1.295444112174207,1.0371367275049876,0.8673990979696262,0.750608760678743,0.542752104897438,0.19774915757100225,0.4551126095949874,0.7197727522439021,0.802685184807838,0.784019080135259,0.8206932966292778,0.9418964607821337,1.0554242189570575,1.1054561453361909,0.9857010721883152,1.1895213844868902,1.6717272508040626,2.3027829176912293,2.502787648123039,2.774833074253255,2.447230413716275,2.1361596119435133,2.204614751261889,2.1692993690327373,2.085410255280688,2.061852392385357,2.640749480972463,3.617263872745688,4.593581538678376,4.6304098029959375,4.390542600604988,4.121051441512032,3.9633572504526935,4.121205292382374,4.016950768503628,3.8764368319342544,4.323090009876842,5.206987353302039,5.938169986656018,6.5174166905399975,6.4979500120600155,6.1648684584204325,6.116586980985775,6.550071078174142,6.77317262954216,6.509752444866113,6.253207932270939,6.2562498820210735,6.732987318019162,7.3998205198295866,7.620347293439749,7.013223540769868,6.846355235225993,6.903688592227405,7.088732645079351,6.801047336246347,6.394858964961318,6.527695297080563,7.281556453398215,7.9503045522952664,8.366166969634861,7.969803605307921,7.235408616092571,6.254603037553032,5.811876772196609,5.675018026846852,5.836398066267513,6.382966125049488,7.35769608762013,8.515820699696206,9.367914801398335,9.395122299436478,8.950306677767832,7.602346991302523,6.473304201098464,5.883473851562793,5.654169122938591,5.868662067268466,6.4767636685529375,7.102113200613684,7.8982671979720935,8.439165240272859,8.105740734974926,7.045946946983161,5.496281198520512,4.468000026433458],[3.6614663922219615,3.2238560627461395,3.052790297171631,3.211369503506962,3.7439318738003347,4.475482993671654,4.7791686546908965,4.7317627471565205,4.008228928811022,2.7287907527417463,1.894842559907368,1.6410386163703257,1.4564577916487438,1.3704605193486146,1.4520316072791182,1.6664796822785082,2.0093368605492996,2.0569347119176706,1.6803503839059157,1.329710093676727,1.117456233028623,0.9446252851568971,0.7668522929103747,0.5982970252087221,0.20163783954593262,0.4032714998173854,0.706984641724803,0.9141575804179849,0.9353620698966637,0.8804174345946615,0.8412897086018111,0.9032091697005028,1.0508130115320777,1.1276173127055658,1.075002736347132,1.4451663544409288,2.080707702241555,2.8366881924875167,3.0095393231065417,3.2211733288932276,2.7284870829901946,2.1918887920509897,2.0941170363476185,2.0704703704090037,2.08928339485514,2.3133123433325915,3.1605675086594798,4.288931148080692,5.313397310904921,5.271248324139806,4.883590805661071,4.358289334873163,3.887965428345633,3.915779778424815,3.8637325374737963,3.958893173600973,4.663799363319075,5.761111624886526,6.584359816417648,7.182705726942455,7.0187172499808685,6.474069074874155,6.06849917332388,6.311316928575507,6.4593351729454875,6.331392810545008,6.226705533026934,6.4573031205691676,7.184934009528386,7.961165557394461,8.127373347278379,7.333647484146187,6.914357095200464,6.721280941637869,6.858253536113226,6.655594217417678,6.439775351236983,6.821200865901773,7.797249687641046,8.545008331493591,8.962783690526676,8.474783872169892,7.573552504110717,6.331330590231938,5.6959433277330165,5.478850019670286,5.779067153623237,6.526874722312673,7.679397099686749,8.92764552866116,9.796650460505,9.768472973692715,9.226599658916117,7.712412157953935,6.38930498313063,5.698368361255003,5.492979433911962,5.868512875577392,6.623823781782242,7.345228951761748,8.18616958928655,8.74787831727755,8.380763384401513,7.24905749545805,5.582259848968615,4.372969197683883],[3.51854588791757,3.091856539534971,2.953087307956956,3.1577724479000806,3.7227359756486726,4.450141849925774,4.743758145793767,4.651901608347831,3.890513042319364,2.594862803039405,1.7261606447767974,1.4835086740395278,1.3554935622395259,1.363363746403606,1.4896295970496718,1.714931601044284,2.0307150297388143,1.969353175214478,1.4890009147337318,1.09198893310633,0.9857813181510257,0.7216762982864223,0.3808812233499279,0.19594128424984067,0.4632336777844372,0.6741041878567536,0.8835983146267156,0.9715242163318256,0.927397245881811,0.83329779595423,0.8154966174803677,0.9085591765415104,1.119169261560598,1.234353359124722,1.1928938382792271,1.5906878507621633,2.2799440024685413,3.070642346572485,3.193938492331821,3.331350129497083,2.730063074798379,2.113389019804381,2.0482245724302093,2.10929743092857,2.2196978915658994,2.499969529412833,3.3939589723453807,4.557033724017206,5.570561450898828,5.451110389316558,4.964401941023218,4.305586174017721,3.761221648064715,3.819839886529816,3.837760827970758,4.003531738870161,4.76764038674737,5.920838553614124,6.75988337342242,7.348235397730923,7.0964104738618055,6.460901709131939,5.971418002198719,6.2223938724771175,6.423028831769368,6.344392815622346,6.276581408002003,6.536206894436957,7.307712653041866,8.085696382512326,8.210561154187747,7.351996723443946,6.891561798198832,6.7096214446554345,6.887317308934257,6.6958443434343335,6.46241578192086,6.84179100856557,7.823501053504505,8.559111235866753,8.9492358244873,8.406585709200957,7.436216053383193,6.13955517565439,5.499644846209965,5.294592238034847,5.591545793998849,6.336878146319182,7.49878537337002,8.746839668273724,9.59979667531679,9.529609258512881,8.934984217128358,7.357677973901104,5.98785663800482,5.320575952706466,5.153135558232172,5.573632430617295,6.364467879285814,7.123014741366986,7.97486538978002,8.54152922307525,8.167116690275355,7.029725818959078,5.367573603000705,4.1560298172235095],[3.11723262117655,2.833686585834251,2.6494113451376227,2.6946595005245646,3.1417499357476997,3.8140353471794315,4.1214482090405165,4.043596908970005,3.3619565531258946,2.2207306990420492,1.5962198465915993,1.5057568987527366,1.4064963573869924,1.4248252234990721,1.4443387226896542,1.588148195624626,1.8477275737741863,1.7216583140292623,1.2608674347128208,0.9058031920747042,0.8295209131511521,0.4704530401651935,0.20224570470197784,0.31530977737548116,0.6747805331516598,0.7754443075114917,0.911673073399874,0.9500971243133114,0.8789615473292818,0.7573472554376715,0.8061307020903107,1.0058361515268264,1.3448280568183568,1.5126435983528574,1.3527516038924545,1.5408879554294912,2.1204453548797093,2.8614704506197564,2.923513842504423,2.9960961411147204,2.383637460402287,1.9482076675584226,2.219570419615787,2.4025155535537444,2.5129974208486003,2.5343817385171734,3.1399077110118725,4.175124096295558,5.115514525884478,4.9442838731898915,4.450096756070705,3.8672194900004686,3.650448315590693,3.968443775224581,4.01512516306432,3.9377067341174308,4.437639519704317,5.424359019199402,6.196774197733123,6.766846820451385,6.55235172624462,6.049439343395249,5.915330889473582,6.456220459149826,6.859245495245128,6.678499248625838,6.453608243313143,6.426099511877642,6.923736871283286,7.557508729733789,7.669232228264826,6.953879746126238,6.763053537351547,6.991027435725589,7.337039814402505,7.044535977858399,6.501027847251031,6.5101467727436555,7.1741221729824565,7.758022409705931,8.072580823833897,7.535672740625847,6.64146583517189,5.610859643008642,5.255479762331117,5.201127456949084,5.230901780876864,5.631358631560352,6.537482081525836,7.664465547244121,8.459823420769801,8.38038633497549,7.799005909230365,6.301059349342232,5.115348967095734,4.6442340464559315,4.53641805243722,4.796965865758792,5.420665964463492,6.108594183930776,6.92672093374492,7.491162150351904,7.165623026877144,6.121087008023839,4.619278217029382,3.638648988085749],[3.01279453501728,2.9844928970972875,2.697940782434772,2.3641383040403405,2.4174393476981093,2.879330210952661,3.168000736722926,3.1506031083135815,2.6836513643293043,1.9072162846231628,1.7508282252426595,1.8238969688269522,1.6956109611643786,1.6183271311739438,1.4056630583686187,1.3818280625894646,1.5779438608903278,1.5225083540307567,1.1799158318673972,0.8646309168356602,0.6349775166833562,0.20688947761172935,0.3805695642805519,0.6022711231627768,0.7725430129995706,0.7637730827061833,0.8159023453035297,0.8289757786833576,0.7641838771650511,0.6870798549325184,0.8853183436788791,1.2371848426140233,1.7283228306957232,1.9512480394317178,1.6186575415154822,1.4151829324460505,1.683791566859471,2.2756684795198487,2.287875037779716,2.336954551200274,1.9260156727433893,2.1086719666245552,2.893139300102658,3.1999899306302866,3.2699512996437514,2.8882313037178373,2.807523278391142,3.4341183117704746,4.193378271962262,4.020868848097917,3.679791228126376,3.5097967199915456,4.085470328705095,4.795541435926999,4.867779210292692,4.388281036447566,4.298295667876475,4.773432024832725,5.3254121769398255,5.845485964477651,5.838254598471379,5.760468851903582,6.392583097175568,7.371457855811052,8.026175735167879,7.685382299559631,7.218065465772426,6.7023002272623575,6.610883883006978,6.90447415220084,7.028818438528489,6.715722946704336,7.074510988975221,7.941705155421754,8.490657696035745,8.059968273337702,7.098771551535426,6.479781731031829,6.4526501814267005,6.674810366464986,6.831832829023025,6.392920105971475,5.801396822881212,5.4668724508161946,5.660432319005359,5.843671438827562,5.443083401719176,5.143177804774041,5.397267930970951,6.168236188995839,6.816307681840697,6.752527149721253,6.261971999408287,5.063918980200091,4.420083876894231,4.369873973911856,4.359422599663603,4.230160403789783,4.370234299172671,4.80324013163665,5.477514720573552,6.0037089562628525,5.779517591321708,4.949478969418461,3.8385810389433206,3.3888348095636327],[3.3993358354327965,3.5284335860183047,3.194156505002078,2.590178141530129,2.169601344350082,2.2274195685205522,2.4079567066144225,2.4755638631401897,2.274391125677388,1.9013269037558538,2.05412855321519,2.1737594193721423,1.9978343540812324,1.8307959883451195,1.4433110701259821,1.2609393421206418,1.3564017956829575,1.367707096997161,1.0196515047890085,0.6041053904290676,0.21858032691662688,0.47832565648627956,0.6415793771716906,0.9021542264911513,0.963622659688123,0.8067175028226082,0.7643612863530208,0.75061297669844,0.7370159312771548,0.7850198413165341,1.1926856153891068,1.7250875919988873,2.3837910133428384,2.6711801235803088,2.230345960232504,1.7230737114522128,1.5249679703703256,1.7869504427323575,1.8340514472363334,1.9412573428326472,2.075939281115737,2.9294520335918612,4.016018872377286,4.415614224878665,4.475456187304957,3.869533904666478,3.179153231511989,3.1527160386329953,3.552678002615292,3.45526028172057,3.433211220166484,3.8791108056621963,5.154715534469142,6.125521364762056,6.236076110322608,5.520586305140115,4.934200874257934,4.752561110938145,4.938621724490498,5.334431377865389,5.612790691261841,6.0463065426867555,7.372874347739491,8.670676114335937,9.507689852633481,9.064256401667953,8.435044587589111,7.549604476252636,6.898702214164545,6.787025707192193,6.920000142470668,7.072465024877408,7.919147587730353,9.259619821311443,9.93528543019396,9.426883862110028,8.206257866370157,7.1105979926835285,6.388014516971503,6.150678101056252,6.094489157130126,5.827991797208897,5.676040891782319,6.079829767529129,6.683253274610299,7.005896302881587,6.323049707336257,5.452538364861278,4.936094638580009,5.134714668441526,5.51804423456748,5.47335583699777,5.142618069364341,4.448310517123219,4.4945333835989025,4.810160806810136,4.861826074449229,4.398282571445408,3.9923599148994873,4.030481789562467,4.424960586804862,4.836842012588606,4.7375820295722715,4.1945674449910815,3.599361184132796,3.671288922650084],[3.857498861142199,4.006221277035123,3.6071255739724664,2.884156171969686,2.2153570488080487,1.9445189496193012,1.9932685737065539,2.1089154566913533,2.121117272660302,2.0367256965608997,2.319545981994058,2.391476758589001,2.1177688498999316,1.8450100744681786,1.3819508899240118,1.0894561822361728,1.113201436679154,0.9672546293779481,0.49456348552894575,0.22671378983092774,0.44782765623014054,0.687664697413398,0.8603952955419661,1.1300363331039665,1.1165112668284274,0.9044540346006985,0.8180324950499177,0.8032728678276795,0.8741133578011119,1.0690743372037936,1.6225636428763246,2.258164189430456,3.002745475151816,3.3186591127187586,2.8261228986322937,2.207417592383834,1.7738001341507246,1.7110407445439688,1.8172021802685385,1.9691399886961283,2.56313544995586,3.7635992779319287,5.012722335333086,5.467993226238595,5.521691533060839,4.817313664955118,3.832447164704373,3.337681606915454,3.340560119006377,3.3451178118019707,3.645352144936019,4.540959227970477,6.20030903729748,7.30540155630772,7.43822065549482,6.622579499609382,5.805027416047037,5.207806683757722,5.083599316148551,5.32987052121692,5.851578010513308,6.6755686349142955,8.41654992982854,9.8921010232121,10.81528513537571,10.308088112539311,9.599361118010501,8.536199652371481,7.569540344670695,7.180700153909105,7.3120519649160185,7.780468178542605,8.906160189242119,10.464561907238682,11.180039351265528,10.62447835883352,9.296618497511304,7.950512476332149,6.804072653893905,6.221841391991453,5.9820580628215705,5.872756991484183,6.076859588704117,6.933652553146829,7.726577166406328,8.093729379445053,7.280904305666818,6.133591459310992,5.14264618486987,4.807286508947098,4.875714231138032,4.825656663972775,4.663221358731347,4.48027488839794,4.999677357969711,5.480159722187387,5.524564947953634,4.872764338343883,4.114428258468853,3.819372622775815,3.9100913779159456,4.170535498753289,4.183409501314333,3.9115723234292026,3.737007552016079,4.09337301700889],[4.14467803661409,4.242998288627081,3.8016862215208516,3.0816428203850768,2.3894495604673778,2.005331048348351,1.9600725962273087,2.0701325093716876,2.173147566716333,2.202077450569044,2.4656932773792715,2.4232554874903447,2.0685827863646105,1.7159932556198116,1.3217096579701573,0.9290860580612608,0.8227699473411477,0.5895762100690856,0.19403926053529613,0.49181389158577893,0.509792553197554,0.7964966344266751,1.1258717002577554,1.2870023312401435,1.192028625073647,0.9771279043315735,0.9044025208382417,0.9374644684201185,1.1265503496245222,1.4328714184286382,2.125299350493346,2.847065915732061,3.6031865856840377,3.873010302766315,3.335211991050915,2.68676416405712,2.2081482824295406,1.9999819774678713,2.2236694188263586,2.4580184166831653,3.2841965669196256,4.602046661190872,5.885605070147096,6.329059648908156,6.34143818876497,5.584908257179712,4.496646577863672,3.8032954881045975,3.585604071307372,3.692304546305025,4.203434541078535,5.327335398842205,7.124897923520725,8.258893804694427,8.376586950990882,7.512077540010915,6.586212075664093,5.784452914254746,5.497586411958696,5.648577213630278,6.299604213459682,7.315178366073243,9.243079881173722,10.772296330002208,11.696974838970181,11.124385535376042,10.358196490300372,9.207017234197238,8.074525410456692,7.534663538862802,7.668768838485101,8.327848403632169,9.594093904969554,11.23793650159134,11.940968804939532,11.340729661336049,9.965722212429597,8.514539878485323,7.185951335331434,6.439499643716756,6.122071879301212,6.140259450077286,6.543027925597508,7.591957454506673,8.424862475797681,8.767364485061115,7.896403602105543,6.6430715331030115,5.472378010029498,4.878785041514531,4.749419365989493,4.7045776720255,4.663238644471212,4.779471025438514,5.458526293952371,5.930779020591924,5.9237124847400695,5.189198692176339,4.302410462558213,3.8796348726991474,3.8192337793768503,3.9713149877318696,4.0572852400200485,3.9567727083227724,3.9748626457574723,4.393791081477384],[3.709684831247502,3.7073781776673616,3.2684651189150538,2.651370928166924,2.127946200829398,1.8970817815818102,1.9552619969624676,2.10725257075718,2.1807841655011764,2.0733940536550124,2.158342084139579,1.975024420379035,1.6661664698127152,1.4102571309219751,1.26646065291621,0.8237415587173825,0.55509667369305,0.20527827564973697,0.4427537252333645,0.7613499827746281,0.5970069075253536,0.8143396235374837,1.102989274862138,1.1993436764046899,1.0889710065676328,0.8896527450434513,0.884367215059378,1.0209352838533108,1.2889640614303923,1.5974735583544435,2.2695610837459044,2.960274203142535,3.632155131296245,3.8183759570585085,3.2521240775125317,2.6540340630499806,2.3099261648451126,2.253879968248685,2.534258011962566,2.807975429926096,3.4995035821399365,4.670135810967941,5.844551722981455,6.20838552935155,6.151001183707544,5.392228895545473,4.393289218096083,3.8689695466627376,3.8590284122649283,3.9606444618560332,4.360553676005733,5.364563646130403,6.972968794797324,8.003832657724246,8.062867263417127,7.1941773520297865,6.289201708963086,5.568605562258166,5.366388690154297,5.568725390464457,6.157538613409352,7.0467086975160775,8.850061447487723,10.292724616685712,11.126809258227086,10.502359881997993,9.712992015229016,8.596899435493361,7.527721249971155,7.059615493270448,7.211667016299682,7.823592543287761,9.032881122393578,10.571382144400678,11.206103194085259,10.575680599928743,9.227222359239589,7.833401056129741,6.624910022354592,5.994339369488145,5.782088376939544,5.804928108843764,6.149366632283,7.063567824995245,7.790990508643412,8.053654300365617,7.208706268299832,6.036423729102209,5.030132126118484,4.6525177536331705,4.68958840124938,4.685136015731077,4.618720157786172,4.571805538107305,5.051949224625386,5.3934065048173325,5.334366648297545,4.668338051786127,3.9439275263465614,3.694324661438966,3.8375170720707827,4.078685803941313,4.158014099120684,3.980480992867409,3.7883433083368265,4.006345786978459],[3.0719784924974256,2.8977534914195195,2.4697754174366797,2.0377377660664244,1.8263596781246976,1.8928711841025174,2.08986872162325,2.252630826801729,2.2268645355991183,1.8695929115943917,1.6442975051217543,1.3305682621847548,1.1962715023534165,1.143714235034735,1.1066388102153104,0.5136358335288957,0.17537876669577285,0.4427822139779,0.6680922021604256,0.8604257876049732,0.6668716840151642,0.7679088366483298,0.9613908539658178,1.038053532522132,0.942975611987311,0.8335332366596956,0.9909678358550716,1.2844462667588268,1.5475792837134443,1.7526073632051178,2.2131788421871557,2.7632849296107156,3.294420557590484,3.389988943028071,2.834300024245849,2.387542080125075,2.3377188627758883,2.615208432653659,2.8999829532814787,3.1758720967233702,3.505427511638221,4.330305849219865,5.303202635148682,5.564895555695516,5.45194841248564,4.762545590875596,4.038675790176283,3.951759920542119,4.343227824859884,4.380102938777367,4.5091480147011715,5.12378847735671,6.308793393493344,7.155710938615398,7.1522153045058605,6.349759934293833,5.6067202596327395,5.242010312694923,5.309540271507244,5.648795044347473,6.02037608634852,6.536143751874897,7.948205584405703,9.191943675264255,9.880815714031222,9.241195527606703,8.478880167989635,7.512625775218291,6.706925152606019,6.488615341624362,6.6507224723170175,7.008106807695004,7.984225937363357,9.268962288925218,9.798129463226129,9.154548558385455,7.877529763408316,6.677663997298885,5.837958590741142,5.524195116055465,5.517624282225461,5.445162649425927,5.535932926536292,6.062663128065095,6.572803793153771,6.715827341152793,5.960269712256427,5.029864837580903,4.457541198345368,4.573736761260307,4.928934068800961,4.935299999958492,4.748462260865453,4.299231706069891,4.352776791587927,4.487572454935404,4.401426406431848,3.9380242014128246,3.5825465870951643,3.6525680743874362,4.090718859980128,4.4483752982665035,4.4681884885660414,4.126596006412867,3.5820532009524264,3.4435908345441715],[2.736002053724656,2.398520935701697,2.066735025383215,1.8916396832577564,1.9826850067789052,2.230972077351486,2.453415434338099,2.565252553317327,2.4100523763456514,1.7834644660055403,1.2870339567649351,1.0746703826424666,1.0578051026278261,0.9903857507352415,0.832268368863087,0.21570522372822304,0.46189024148927194,0.7035598310724717,0.8659216359311872,0.9490679113137505,0.7874245715287506,0.778482341626525,0.8672053801007499,0.9509257231908889,0.9371394811840654,1.0638169635156967,1.4334968928444782,1.8431450484208276,2.051955895349216,2.0915145960786514,2.1802341931166485,2.4730649575302848,2.8304567196026955,2.847155883132535,2.411643929713345,2.328221147379038,2.741293868609978,3.3892652493065647,3.660906540794215,3.926504112032175,3.824633812962931,4.087967185965752,4.715287539033225,4.87645104891516,4.763870682623883,4.3234711162130735,4.1767099842177,4.699720184198066,5.471294234119351,5.439888152226531,5.236283440861657,5.258391423519658,5.718041590617084,6.2651700162012585,6.22429269123086,5.645338981588449,5.275481977625518,5.490266249873155,5.9073295808674695,6.3723634098975905,6.4202801769044555,6.373802520918519,7.088928412161305,7.991508024177952,8.493894247576739,7.927822771018581,7.287921252811124,6.642109271441675,6.315667318660882,6.455345161898045,6.5820282860526165,6.491080223298988,7.004590009733346,7.85169855069184,8.242488985766622,7.641090566670318,6.547333603283738,5.748911407627922,5.5307952596446714,5.654542767531144,5.852743541185712,5.614536553126574,5.3025739468416875,5.190949857141912,5.34555849479838,5.334975597884752,4.793648691785921,4.323960195841899,4.417314062550466,5.059057678944086,5.657101031125967,5.641555423423804,5.3062632372523035,4.414467334283305,3.906333899054349,3.770511386244092,3.675962458735784,3.566381866491108,3.6932581511024085,4.051494392388528,4.681156138052157,5.102221080927586,5.0381687478187684,4.5404244696810725,3.688257616378896,3.1789731417018934],[2.578616385545424,2.2192981352005012,2.0393418824589515,2.0118444970249527,2.2108637338125883,2.5042266860210876,2.7089367617005053,2.747885210275431,2.421342013162736,1.6242717048770565,1.1017402696809764,1.077798169923389,0.9413806307255962,0.6504610188758464,0.2094818894451648,0.576927513734918,0.9338478366886849,0.8970455768649921,1.0566442248283572,1.0593189132162875,0.8754944560444633,0.8258350710008374,0.8958997309524219,1.029355606125143,1.120785468482033,1.4318242336803781,1.9516670131402496,2.4366846900764347,2.5980765850926106,2.4628517703300106,2.2059297551590036,2.2099883284861037,2.4290899413517257,2.424659825312785,2.208743089779734,2.5515597627556534,3.328214060542836,4.238488359976163,4.494832311754441,4.729529143354643,4.2938956151619045,4.038544612813645,4.3161818374762575,4.446238646413373,4.4310338840246395,4.358959572853737,4.782339030678996,5.733208789619559,6.70930844138481,6.590919477192419,6.121709113332549,5.632423201537738,5.404898220759558,5.666504148325077,5.655693983310905,5.419168629137956,5.502227159092401,6.219723975057691,6.8776796886301295,7.397601535652246,7.147415243741447,6.596989579165051,6.564473207729028,7.093526050697661,7.456373014303078,7.067831929818201,6.647653973810824,6.400793087273506,6.5807813139776625,6.995000388219163,7.037890845840038,6.495580461033102,6.491467751080458,6.87463530398798,7.165376821720131,6.676407640103711,5.850843118183416,5.5555584145924595,5.914429944867733,6.326891953576094,6.608217502291546,6.221658821777732,5.556259899836777,4.85379663786114,4.644799350043946,4.509219561173747,4.231428592796585,4.244153251670926,4.836655897833627,5.740424559995478,6.4038484389806625,6.3145228048963595,5.82102600800838,4.607108558288875,3.674019100540867,3.349768772661986,3.2760844583460926,3.4571280299763614,3.8834498882288493,4.385248769732796,5.08190222165208,5.520789319018081,5.3751298772629745,4.755483250904897,3.729954091519207,3.0037101841448055],[2.1953858687305265,1.9355727368600923,1.8496281133195676,1.8920297502443566,2.129373460004135,2.419337752988809,2.6172524044058947,2.568285935407637,2.112555979968735,1.3808138329886601,0.9279305661780437,0.8005276706102874,0.49535728863045186,0.19573665832308135,0.3793632131112976,0.7651559386717779,0.9394187950488806,1.0619948887414898,1.1416627851150143,1.0487773733475423,0.8345071230691798,0.8176489967821606,0.9783371223251977,1.141184912834155,1.2671943929058633,1.6378076810434046,2.232243146466471,2.700255148657537,2.7751443063065984,2.4818613001424303,2.0763500273912396,2.0249915792427418,2.3207464940686835,2.4011706138102227,2.2575261479204607,2.705109685924122,3.561972745509956,4.5569486424689645,4.773995083445753,4.942747306744909,4.368765189926295,3.987024473221338,4.266350894736684,4.486633065321439,4.5762652299718525,4.612827134814626,5.139725696910746,6.156704771366413,7.133444778596614,6.9198110560201735,6.308347333928529,5.62921531960547,5.266438859027685,5.533790175541536,5.59881431713573,5.476326658455687,5.6571053415897605,6.483470927438834,7.168541737570832,7.67271416507687,7.29394056395665,6.597251001445142,6.392458040513333,6.897178777420437,7.3227997610214794,7.031816159324707,6.700826602307044,6.538437531685339,6.811610351760601,7.244327607624715,7.220486445755497,6.56704787715795,6.45435672163546,6.812427623938727,7.15315471288972,6.7216900311594925,5.929712219348934,5.678828285114028,6.071733771885186,6.470365807620847,6.702219528444858,6.246249113470406,5.485666081977199,4.715683402897486,4.503661351812504,4.388580704460777,4.058723758550336,4.026278401874656,4.608986610307085,5.5042340003366315,6.132027376788907,5.974913699716263,5.381355630297968,4.046876194587965,3.0359320114470436,2.768685334149157,2.7318031307020156,2.926927266214829,3.3910552544997383,3.9447380396122043,4.644679920207535,5.082548320280005,4.887641879082774,4.22419060809172,3.1980054551834205,2.505126006157088],[1.881151869200605,1.7182774754085675,1.6588049438038848,1.6563926047174673,1.836776258338727,2.075162969829236,2.252703193644214,2.1268730128450315,1.6008969464229046,1.0546825119167298,0.7488924201106413,0.5400536906642383,0.20388928093642802,0.3478311718781227,0.6052983238653639,0.9022009048800035,1.0952520658695126,1.1916781404849317,1.1905766591967097,1.0420484625064426,0.820980848781395,0.844543741016546,1.0702688555859434,1.2669540648504314,1.3996176319110807,1.772397430269787,2.378617123320073,2.7958690928019956,2.804212441525301,2.423167919025619,2.0037535987941895,2.0373046911593513,2.4755960439755844,2.6499299753526704,2.479576756359944,2.8512580189246064,3.660733749161564,4.640274296358724,4.8143377113830494,4.9306741695176335,4.340676168345824,4.03769269869503,4.46223512240939,4.773615196540576,4.913317337002106,4.899481475155892,5.316334689422,6.255008809276733,7.159747397214105,6.875961727354195,6.20321558552637,5.514617996856945,5.295414729506651,5.698979485183543,5.828273875325079,5.65397269636715,5.723131171378038,6.457587313604454,7.083076134902474,7.545259412639211,7.128566862776143,6.468184199158912,6.406066135536625,7.056226925197677,7.597473822412936,7.298104545148946,6.924781331602908,6.639794911396386,6.778121232593291,7.112613327651548,7.041562029324717,6.465301417770849,6.473467516967856,7.041805432071104,7.466157663341603,7.014659768210708,6.1179569904663245,5.68388173499185,5.890831952675267,6.180254773296027,6.3477375742559135,5.899031833314349,5.20208757029403,4.649039775349971,4.629377178999204,4.601254884947079,4.105213691629866,3.7976126491837343,4.139683903201761,4.915195401447117,5.477313561221043,5.286315205909161,4.671643288505413,3.3767833205863975,2.522567472066983,2.4189367302619376,2.401059074265399,2.4068309423395164,2.7223285240955812,3.2382178215205744,3.9007369273741217,4.324858151292039,4.127090756695561,3.500842626531287,2.592944732887478,2.0742490744170015],[1.8311140736740839,1.8000589998260537,1.6962559786726161,1.507108847154588,1.470419105866245,1.5845934644876012,1.7507773075191124,1.6733432395295587,1.2647792520283139,0.8660588337130014,0.5358962923283478,0.28993378119730107,0.48961328473455323,0.7177562387721959,0.7913694847161666,0.8681365449225108,0.9475573600534477,0.9579218008717882,0.9353245378086568,0.8688783367667594,0.8890688143105122,1.1900901163445046,1.584754680040849,1.7455061468051583,1.6122264485522646,1.4910772985525627,1.8189298191568661,2.1033112799887843,2.0852729268157497,1.8349373716965434,1.9357917761704768,2.546251479930804,3.317829897622591,3.5916031904996664,3.091146387179232,2.8432750366165815,3.152061592286307,3.853430195424017,4.0072372820459226,4.117668562230423,3.9173000341500823,4.330287892743114,5.300320423880067,5.738845461019262,5.839671551525146,5.420222439361656,5.157168341971541,5.567433669088985,6.1571088051657075,5.852647211955479,5.325852076766944,5.1205367914106334,5.7729557960010585,6.59843204638043,6.756340563520989,6.193935151872837,5.691199635363993,5.816253349310602,6.135433214709786,6.4805479227097,6.267684534177764,6.129676870986513,6.95213830476881,8.099199570675415,8.88760495105345,8.433390025161154,7.830433865582627,7.071505209437505,6.599171289806601,6.556283267902584,6.4921673135248446,6.415314789375384,7.002079459739568,8.157210027036852,8.740777422828856,8.195097806311747,7.022614743499524,6.032644166543153,5.541890049086334,5.432511627995922,5.422832602224824,5.130545209914018,4.848680498279604,5.070445735897271,5.5173549881383925,5.672346552750848,4.91074600290658,3.9849827362459775,3.499956256836705,3.7516140643791056,4.104296784771046,3.926110080824103,3.441806386932865,2.620086163893438,2.5545525915936413,2.8411365036775407,2.8441925176206153,2.37738377422884,2.06704312558058,2.2572540876962495,2.734009993761368,3.123790789976833,3.011816637973386,2.55745123739268,1.9811668021373563,1.8932691431756852],[2.022420651007718,2.050349673294686,1.9049634034589342,1.5730419154807425,1.365600211829169,1.3982961346180598,1.5242789636951772,1.4511020866007402,1.0978295556366218,0.6070171786110968,0.22565858992706575,0.4549212271632642,0.8860799159332625,1.0225550825387733,0.8720896609803658,0.7801186882406402,0.8376083474678896,0.9042915146062244,0.920063857358622,0.9674370051264459,1.1915462529007195,1.7444780498738477,2.2627787927989664,2.4262923719762064,2.164805397577654,1.6955286371715377,1.6613274410021388,1.7654277234342899,1.7666024833080372,1.7880371074902186,2.3939768890412747,3.3469907475070184,4.305783341056411,4.657446815258103,4.026441621112851,3.40394971004017,3.214646849346329,3.521369460825953,3.6617854193044392,3.789779037084884,4.047501866944366,5.035637306490956,6.3433873216761905,6.875431563062269,6.965116286579196,6.305116829282482,5.538986696542245,5.403379260094017,5.608964807757403,5.3079794294847895,4.991238214518519,5.29705386870297,6.620544163856787,7.712736550929924,7.90406438146856,7.121013498160737,6.219078616114318,5.763186043200074,5.718172356046846,5.892783861278954,5.896445334132079,6.268133476785417,7.738244854737487,9.190276886977662,10.13733771628523,9.610078781931003,8.88752757763078,7.834646390740872,6.909211004021579,6.52064285134382,6.455549986944293,6.784065885641686,7.754159676529767,9.257339059625963,9.945414443444408,9.371203604026054,8.069863611928266,6.770590942743533,5.782370503728932,5.298680697806489,5.096483884032177,4.97720377549334,5.074450068908809,5.816166593763695,6.50613191423822,6.763296244947219,5.909198043781687,4.7178913572354,3.6847387272025642,3.3237293036749955,3.3404887144458595,3.1678559619379247,2.8653742548809005,2.6630847763854653,3.173829250557889,3.6247201623603598,3.6337649515332995,2.992106409262784,2.261667434629606,2.0104644927513537,2.1139516967773555,2.40360844516189,2.377816926213119,2.1130905578502635,1.8761805402748706,2.066637366636074],[2.3433458734124897,2.351622389427725,2.109910644380824,1.674226682719709,1.3439800887755795,1.2542307780405624,1.1164685034361983,0.9736269244598882,0.668680164658699,0.23999994297587615,0.3829586461509979,0.8286613857851578,1.1293219926745635,1.1645615105008615,0.9280166930129516,0.7551666400834065,0.7417481537112627,0.8465451073973286,0.9394269804846587,1.1997038175878885,1.7242594281159107,2.4737118936045746,3.0486767705053697,3.1748278040554037,2.8118762425619477,2.133732854920125,1.826998522092376,1.7447409568802261,1.8604450240027222,2.276845752791859,3.289381357672617,4.435257723444541,5.5087027321142195,5.898015386564257,5.187547350892629,4.356074424010507,3.81754702436963,3.7049714724547105,3.886517772763125,4.078439285175552,4.83533849907993,6.241739134817932,7.7372310845846055,8.303388584679492,8.360630434480994,7.529962603934889,6.397274537858081,5.7658942078966104,5.547023245831986,5.338151933486056,5.368844136947789,6.199933848418731,7.971263342855625,9.197925432887887,9.388362367915015,8.462924449797104,7.291973176842102,6.3522262226351005,5.933497554746237,5.908016536972633,6.196623687255987,7.064063146262033,9.001195391416836,10.625815045383725,11.642021592043795,11.040512972479041,10.22614449251521,8.971886716342757,7.71105947090464,7.034486734957687,6.984887439107653,7.683936112638259,8.92361653880976,10.631529945729028,11.349839141211811,10.73633213314324,9.365769063898464,7.866108293067926,6.53321420416877,5.753877601219489,5.389974682600284,5.455924495955635,5.875333613060602,6.93608197810846,7.726834978050206,7.994224139209887,7.067072894677048,5.724980934996019,4.386173183025801,3.518667964563665,3.1269144217981277,2.97878579337452,2.9317667258685067,3.2944949813354047,4.072516436693646,4.526411586621666,4.475627742042371,3.7155779898364294,2.7519553843440545,2.1854994665386482,1.852804501286728,1.9453465013876134,2.0189398746360703,1.9849469169321992,2.0796731509580035,2.418900426160755],[2.4509813065762867,2.3481955057126647,1.9868768302522757,1.5373010671900647,1.2019367756998298,1.149907002805129,0.8466521012098668,0.6020476548760065,0.1921012397213984,0.4709772376656505,0.6625391373022853,0.8918474896526611,1.0189386904190272,1.0296250856875946,0.8091276226317784,0.7390066094517886,0.8112298032279835,0.9758219287343064,1.0954974229185963,1.4165597703278083,1.9442752802280987,2.7347417566285004,3.2924665912459745,3.3729741525240624,2.964267930959803,2.259299399871216,1.9398617373709302,1.9208949708367344,2.143500854032632,2.661138546251754,3.7280426923499377,4.907822577744782,5.980276922020151,6.351393190965059,5.616301552586892,4.757857067680295,4.163393123117585,3.950995252885724,4.164378425461287,4.380661715012304,5.263138041608844,6.760508575964664,8.279933303024434,8.825612133581592,8.840126606136804,7.947267327090066,6.707493176029201,5.917221672527598,5.552467408377644,5.424794988109827,5.611268685917062,6.637421263088644,8.526529495353689,9.769163117337268,9.932208873827964,8.952959155156387,7.700192030762349,6.589449434454016,6.040370182718416,5.9354018858724436,6.370334917116682,7.434990175569018,9.531332947382248,11.19823064503714,12.207348440309397,11.550097134605862,10.696384375542655,9.392155893616232,8.032335125579852,7.271090538333946,7.253311352877346,8.095846987825723,9.428142835504794,11.168252657156255,11.86168224430912,11.224495467580269,9.858862319240524,8.314496568732707,6.89339800071054,6.036734474858697,5.639256368151072,5.78739843964877,6.3234220923094036,7.45677795095618,8.235572446332865,8.461914178920885,7.503738090114542,6.1299583238000555,4.736658635515182,3.733091950944676,3.2107957276880192,3.1011250174437404,3.179629624317564,3.7002992989211703,4.480197980867457,4.856388809890036,4.72787458177495,3.904291553706945,2.8792410309825094,2.2725323943017472,1.8750973288340909,1.9077650716079637,2.0715164751262045,2.1271122903573487,2.2621797332642952,2.561041308620159],[2.2808302524241792,2.0278626017329944,1.5966490559471564,1.227372258211352,0.9108696842599286,0.7846401432874998,0.41798949259437035,0.20737948292634356,0.5281462696527636,0.6401529988414769,0.6123133088099256,0.885379499010832,0.9258506993800866,0.8878722186718425,0.6882234949320104,0.8167674823763867,1.0592094864715857,1.3102699801701634,1.449203921416516,1.7312733952434132,2.1591412139946793,2.873589137337544,3.3524872834169006,3.3684847898932304,2.9194628376611815,2.273081946053747,2.060842667826314,2.212550956551078,2.472689750292171,2.908848588928938,3.8674406396137786,4.9895358685976525,6.001123633946875,6.326194953496669,5.585681299772973,4.7635109039141375,4.227801787202348,4.072263538704133,4.3062040823004715,4.5312389337813865,5.342158561908454,6.768413764308336,8.224926011129053,8.718162051939425,8.687403593314253,7.782601495368977,6.565617025669799,5.812820607223866,5.5167325762134345,5.417485200812526,5.604608402061174,6.620025316031737,8.437683057830347,9.629057824554977,9.756321884073616,8.76060538298609,7.5039247103004225,6.389090529367025,5.858805205002698,5.759795063765959,6.214333948037222,7.284522233619888,9.37066259040215,11.009253471228298,11.969881518528638,11.273084858685063,10.406220492485868,9.121974000367741,7.780422472035321,7.045460201725609,7.062349762777595,7.927147075898091,9.25966634461379,10.949538907547149,11.601009968303067,10.951472641238938,9.614143902842912,8.102297451086644,6.723957891090382,5.910185734059284,5.558358096252544,5.735900381501356,6.274061305179328,7.3589189628972775,8.075611901952456,8.24750263575344,7.290456010907708,5.941755961865513,4.602475592882312,3.6572562856334176,3.1888706190188123,3.1217975631105737,3.224184290228389,3.6999088743348794,4.386718055735971,4.668669204999567,4.471006861143426,3.6363511590444215,2.6557653276082918,2.146167871707715,1.904237774351233,2.0090883253684355,2.202346507923342,2.231937587030155,2.2528799481617785,2.432490977680871],[1.8839061247738245,1.5548422075402477,1.262222283678092,1.0635213765232265,0.7711831934817481,0.531816504726761,0.23385341829361714,0.3607891423843206,0.7410091410979448,0.5823778101760155,0.7007276978986237,0.9106403011459686,0.8810292875472285,0.8182240679578648,0.7161181760491561,1.059192517481089,1.4645127903265498,1.8129567983326693,1.987763821020373,2.1850000112129004,2.391193862077416,2.8838934043243745,3.214115723061873,3.1624592982543023,2.7334808414132965,2.3051065664793646,2.3625357578519366,2.7435947365669295,2.9976631312572257,3.2061527486299775,3.8232237273468415,4.740668655975697,5.595782681188429,5.836406742985416,5.129867791651253,4.454183845839299,4.137312666258822,4.235953926201466,4.471788166496344,4.6815200279372995,5.184940640068426,6.315385425190481,7.591804651110995,7.9943498065563405,7.919379293130868,7.084974530498373,6.074973562155663,5.609384207308854,5.612578902013124,5.4976403875574045,5.513407653864394,6.255601111532215,7.7317876315726295,8.76749433117178,8.835492580004452,7.869939557560535,6.693876772631955,5.774785514686597,5.437966212854366,5.448949314358446,5.794057988044882,6.6452694811164355,8.518452840050877,10.031452073003226,10.892562458100986,10.171725717861795,9.318330451971894,8.127605132347274,6.923837189379271,6.341969753388171,6.404151113084957,7.163167990806016,8.39653679733494,9.941976276911555,10.517784326728432,9.858485856951877,8.571823705654076,7.154985917425038,5.9284372038455615,5.26966728429275,5.034941072817847,5.194222346699773,5.654853101030371,6.5876750716068155,7.198482499943064,7.300786287581016,6.374729589709219,5.109113362716856,3.9261552186740967,3.2065647796179286,2.951125834437197,2.9250290259700393,2.983940181302185,3.274871605256693,3.8041345728855265,3.992788802226281,3.757708163393917,2.984510220383897,2.174824781547442,1.8882925528285184,1.9259442517471586,2.1253320535169338,2.2825202228244916,2.2093547681126156,2.0248799560130535,2.046021595500059],[1.6632851319210187,1.4039606753074747,1.1794437973707506,0.8690475709259885,0.42818770066461803,0.1978314295917116,0.5241546329374261,0.5637302883071192,0.7638449056542295,0.7225048340474001,0.7884124108124375,0.8558526313445907,0.8290503369223402,0.862507817943548,1.1092250385412867,1.695131094048639,2.276359961848519,2.8078179641960115,3.017620343096708,2.972424327990299,2.708475221162705,2.708185059107785,2.7389595023236377,2.6514609867731624,2.5071023927249203,2.7683346653591427,3.3765733427623044,4.033489244930381,4.2616331387327415,4.069493480389522,3.8891129523534334,4.1467378978509295,4.587589133563534,4.685010691521458,4.263629413429397,4.199142024760893,4.5630221121842265,5.247512157048094,5.465847018981633,5.625807819211868,5.376928919676275,5.596373622705778,6.305971506059429,6.556065646342959,6.491232397278737,6.0484825533072835,5.813782790473961,6.179361711034443,6.783655229932428,6.580212798197552,6.131606717608962,6.007335008851668,6.414900647803679,7.023387352304366,7.024643234659958,6.301585528217318,5.526202623576511,5.378858991094842,5.601639110198141,5.855071306767243,5.758755860484792,5.795679263539303,6.814319966647044,7.941117009264933,8.610140023379786,7.949386243096423,7.224797858247024,6.371018608655327,5.67320373124089,5.5376440414602115,5.6079801617828045,5.872977991884529,6.68426901392431,7.849962940009074,8.295375863133824,7.678509329751327,6.539817682421516,5.438035051195985,4.710872013216783,4.489753670377045,4.506752275228347,4.500097219870825,4.616665357585488,5.098460617192776,5.497756897103719,5.525460049904292,4.743351508298702,3.746773084238316,3.044171874835581,2.950843868160135,3.143255032395952,3.1099889501804316,2.9566873712872326,2.7230530383223543,2.8854047966361565,2.9766574106374053,2.772271830439878,2.235892648938458,1.8734647561031104,1.9276974641640643,2.2246762284640127,2.4608694993911246,2.4860706615749337,2.238222539343029,1.865125482874199,1.8146515534767527],[1.5987714536294766,1.3498827362773862,1.0507807121187565,0.6267255388442007,0.20213570731251831,0.34881624122054855,0.7683538996395284,0.8582198930675471,1.0331941633543291,0.9770520648709158,0.9143592835534783,0.90972196399205,0.9503464036965561,1.1230776456118698,1.6281256387669107,2.4336287693111593,3.1684942523052317,3.8232833680104426,4.027251363408662,3.837598749207115,3.2875404368003074,2.971806421805959,2.814445382328286,2.802574828405375,3.0372708443761858,3.796662310171512,4.688974808815252,5.46555643695975,5.670160424173746,5.26589743721727,4.589403562615407,4.272384775356654,4.307617039704491,4.324826312188472,4.352138262092027,4.90823680199589,5.74527534725861,6.7390929005241045,6.932639121784758,7.03873087278195,6.312955994151123,5.764138506228337,5.877150588121656,6.03569595846479,6.07891791513174,6.15228028188268,6.648332747719377,7.554273820219095,8.443311798107452,8.152005309485101,7.4070974236934735,6.6285552911279595,6.020745023406752,6.14662825252207,6.139399302733275,5.821303554135764,5.609834530498837,6.166550323857312,6.732237182686197,7.078844791048492,6.623755921426208,5.938140177032624,5.917068589775186,6.531334779093566,7.00007029337608,6.487980125489663,5.9916944476159815,5.599839012213484,5.532826358931899,5.797950660183835,5.802489585949776,5.498198170997156,5.736670072711159,6.432544649802855,6.761240681916561,6.232420584880557,5.308279887615114,4.650084826389644,4.521476815509783,4.676089537792577,4.83062071118767,4.636064963859503,4.366757950667054,4.321248381054939,4.470038478564127,4.437798667225534,3.8416462805560414,3.1951909803257257,3.00660217397638,3.344370671770248,3.690218353800583,3.596055535011312,3.274680935611753,2.6859763882797796,2.542610096508127,2.549027424852451,2.3535144708043334,2.0022284074762373,1.9499199299102759,2.1243379606880413,2.4571045966030534,2.6621239962062146,2.5777298186437116,2.231491874055292,1.8398616857060908,1.8217595211150037],[1.3067320279612424,1.020092136907463,0.6723859740097844,0.2095786283705321,0.46307352593990125,0.8506046310715473,1.046945400958403,1.2546117714972704,1.2517787900498016,1.0618787630975115,0.9160190311745422,0.9042436171313141,1.0430241644946996,1.3347325364730573,2.0150008052777766,3.0076971328005926,3.8715904519817452,4.563540657553702,4.688900505735424,4.385707508717262,3.659683357243476,3.2081721036472675,3.011931296821626,3.124819322156396,3.6180718434133197,4.646425153371398,5.701466269819926,6.533424437681811,6.69794118637441,6.140033508369283,5.187424980367134,4.553128094329962,4.3646810313783755,4.397480630987944,4.78395344753206,5.707767945665511,6.789261096564102,7.9444376830436125,8.105746072249357,8.149501738134878,7.138311637988319,6.132724089626001,5.870910146197254,6.039518117453208,6.239843485669828,6.709712409089097,7.633617803545589,8.801832323739122,9.805605485591013,9.41828967719043,8.472292529204484,7.293502292274685,6.067550959520667,5.867759184243164,5.933475049340403,6.006849246063342,6.237328010382981,7.181215188885734,7.890960316421923,8.253726739000582,7.554995629272441,6.430073702118568,5.59011055061313,5.737543377750418,6.065552365596888,5.779247284437453,5.552323206719267,5.57457985886643,5.975959607367116,6.446235449075601,6.348825551050388,5.611374106474302,5.342713200594875,5.612107421191865,5.867193370237127,5.442547481048344,4.737301412930329,4.462712701569951,4.754357367147234,5.074681297042108,5.234918975628361,4.884590700093406,4.318328971671193,3.8700443691209614,3.846728144762111,3.8090174660142866,3.361221368915733,2.98447657748761,3.1151432211553187,3.621828030633552,3.964173927044177,3.778043142905249,3.3163635211451092,2.5323581110074893,2.2899407953100575,2.281930859676392,2.0977499289028545,1.7990966142270048,1.8495810104025143,2.0575663540477214,2.344095382291165,2.508093991156242,2.2960605690993248,1.87082564461104,1.5572242940943544,1.6372715408918335],[1.006755352757372,0.6082377748789928,0.20320153508876418,0.5884130255691924,0.8779481999333859,1.035000037340989,1.0716432065936652,1.213685258096551,1.1452508411324631,0.9234546682630115,0.7943041956204051,0.8649934700279056,0.9634357300944726,1.1978379702219135,1.811387461653885,2.8301738237840666,3.747926969126812,4.431502589899852,4.511007570230894,4.167491944103433,3.4064339231415963,2.9772411538489716,2.8498544820399094,3.008773165410705,3.506837540132024,4.553772103518497,5.650621305906382,6.490752656205062,6.6338965038529745,6.016033226639853,5.019618535561962,4.404748596051253,4.305659019880326,4.421421521648639,4.805061567347568,5.72716443006897,6.830432169738117,8.012351433372107,8.151537533979837,8.16305357374873,7.090813598532737,6.052520761326069,5.848232125738526,6.104797454356423,6.370020838643418,6.859163788960339,7.789316060279195,8.966549683405827,9.966714799534508,9.533159512804318,8.521510459420162,7.255739853710849,5.9988443823896915,5.846144059304927,5.985598152238769,6.099774941046313,6.349879429093486,7.3204950407910765,8.029274145394902,8.373558782308294,7.5840077077057195,6.359269065317934,5.37986105458575,5.507186729818618,5.882142347823818,5.651457226481598,5.460044667033613,5.495594244656583,5.947055077738256,6.416698733482845,6.271457481462501,5.438629315629665,5.084935938173883,5.346884088154001,5.638480309882193,5.2388746495692,4.547540103946573,4.301888594895091,4.632521870541851,4.9522322230024916,5.092816166840074,4.705411869678856,4.083625399390288,3.5989534079201824,3.6065831179710814,3.618485815959068,3.1799440034743927,2.796406308799656,2.9282812249142514,3.42980961876968,3.744251646956839,3.520907646667814,3.025825613997286,2.253476978278867,2.0955465955386394,2.1293206993607146,1.9499934208735332,1.6243068066131916,1.6354562136594442,1.8207070677095827,2.047851373357183,2.1715712472131172,1.93766695036196,1.6183703059988108,1.3770539060467668,1.402361525861308],[0.6828449658488795,0.2201020658280296,0.49239038983013816,0.9362744678964046,0.9109904539906256,0.8813182020148858,0.8791048448162995,0.9881406461779796,0.9319301795499492,0.7574985510487671,0.8250745413678171,1.1322868726264823,1.1794141089215995,1.2297322614019992,1.4345554189536214,2.292118781502852,3.2054587396016716,3.876509738859846,3.9414701137635464,3.6275711699952766,2.9572207337145144,2.7259493501663585,2.777562551705568,2.9115515182667475,3.168532782080759,3.985453673243167,5.004234110715277,5.820227286533331,5.963635471228018,5.36926290721899,4.496054455418163,4.1582343986735255,4.360561801921487,4.57593126809736,4.680933524578244,5.297786061919343,6.221598495319779,7.315314037255977,7.442729902994766,7.444471998323473,6.4592803935767495,5.6937566628229295,5.848085050502232,6.217951646636197,6.461164176570282,6.692429887172395,7.3214071742685745,8.322311263204243,9.234189040879524,8.782803928549866,7.791269600214981,6.644040311274709,5.747194053536096,5.88397769960632,6.067602900635583,5.962310306188597,5.933770071860841,6.689820156057893,7.304116831734729,7.614580501368915,6.842098898883016,5.745352428024191,5.137036831658379,5.613313288936256,6.176948823900438,5.8389678410419155,5.492625053161327,5.239804162189657,5.431991039626097,5.770263248633323,5.6231869111722785,4.94617855658378,4.850596000849637,5.444815545154925,5.850836693902276,5.418692307558701,4.585602338676216,4.069740341996669,4.143170148489173,4.350924277330156,4.461236480440453,4.133836900710509,3.655440925585438,3.4585326928377498,3.663512535939662,3.772450771094301,3.260884958460272,2.674672703182581,2.5664869024503663,2.9447154466137917,3.215000533782525,3.0091053883834578,2.5804220123694477,1.9985898344368898,2.0368808450510625,2.133151180347557,1.9837564112952637,1.6094485557376605,1.501183716897751,1.5994508480888485,1.7632643886530357,1.8666522341779257,1.7020747834160879,1.5023757551562422,1.2290543574923622,1.1484656510951636],[0.289726458838908,0.5251743750116503,0.8970016612006273,0.9464768710713434,0.8265269454699945,0.7681283396300757,0.7499342717713215,0.8634922979029974,0.8654745533882143,0.8466578085887603,1.2152841855146337,1.7462532365379582,1.8263113786753669,1.7886910997679282,1.4600233627907555,1.8049997078514701,2.5735526085419997,3.1948265665143594,3.26111134441961,3.0215762106739925,2.6275941609297657,2.811099828494127,3.1493637044786364,3.2463307511885313,3.103880184215342,3.3900504271614342,4.162079249030641,4.88556927877506,5.032505957895983,4.5552527616316585,4.036976973237355,4.249387317383509,4.891170253122556,5.225416518957802,4.940730872062295,4.995087694254572,5.493532370842364,6.342427893763768,6.449503319905126,6.457259113589785,5.763079250117391,5.603030585827124,6.3187763517535585,6.805441986109002,6.978206805355303,6.779197648046249,6.824952750758595,7.412698473863518,8.098642038339243,7.643775944493178,6.760183752351386,5.9677726153498405,5.841270543553907,6.423563238552123,6.634080376561569,6.161048371815405,5.618944544639395,5.845882289487734,6.197865796759455,6.404420446869932,5.749475158589102,5.063924137982208,5.31557026109958,6.318808079745741,7.096809804668524,6.599424276880497,6.021032633076538,5.3023551319942,4.9321149436067095,4.948607395347757,4.815326623561111,4.557190266806697,4.992676868489228,6.07917570019063,6.614001114292247,6.132646850217766,5.1277825813287174,4.17240015262286,3.6872667021618204,3.591922489429336,3.587327949458166,3.4017563896176175,3.267380999759782,3.62909845309567,4.114556187574033,4.322242194446138,3.7152298023748207,2.868658047218383,2.2905034940193185,2.2871361194444844,2.419332552361989,2.245897324674701,1.9608004856717545,1.7610527439732113,2.1289903169253566,2.3305318914296174,2.21714660653478,1.7688534483524099,1.47241057520091,1.4182910212144977,1.4612203272751856,1.5148088496019965,1.3750645323403112,1.1984784575714955,0.8650521780936774,0.7768017496339649]]}]}