math-test-functions 0.5.2

A collection of non linear functions for testing optimisation algorithms
Documentation 
1

{"data":[{"type":"contour","x":[-100.0,-97.97979797979798,-95.95959595959596,-93.93939393939394,-91.91919191919192,-89.8989898989899,-87.87878787878788,-85.85858585858585,-83.83838383838383,-81.81818181818181,-79.79797979797979,-77.77777777777777,-75.75757575757575,-73.73737373737373,-71.71717171717171,-69.69696969696969,-67.67676767676767,-65.65656565656565,-63.63636363636363,-61.61616161616162,-59.5959595959596,-57.57575757575758,-55.55555555555556,-53.535353535353536,-51.515151515151516,-49.494949494949495,-47.474747474747474,-45.45454545454545,-43.43434343434343,-41.41414141414141,-39.39393939393939,-37.37373737373738,-35.35353535353535,-33.33333333333333,-31.313131313131308,-29.292929292929287,-27.272727272727266,-25.252525252525245,-23.23232323232324,-21.212121212121218,-19.191919191919197,-17.171717171717177,-15.151515151515156,-13.131313131313135,-11.111111111111114,-9.090909090909093,-7.070707070707073,-5.050505050505052,-3.030303030303031,-1.0101010101010104,1.0101010101010104,3.030303030303031,5.050505050505052,7.070707070707073,9.090909090909093,11.111111111111114,13.131313131313135,15.151515151515156,17.171717171717177,19.191919191919197,21.212121212121218,23.23232323232324,25.252525252525245,27.272727272727266,29.2929292929293,31.313131313131322,33.33333333333334,35.353535353535364,37.373737373737384,39.393939393939405,41.414141414141426,43.43434343434345,45.45454545454547,47.47474747474749,49.49494949494951,51.5151515151515,53.53535353535352,55.55555555555554,57.575757575757564,59.595959595959584,61.616161616161605,63.636363636363626,65.65656565656565,67.67676767676767,69.69696969696969,71.71717171717171,73.73737373737373,75.75757575757575,77.77777777777777,79.79797979797979,81.81818181818181,83.83838383838383,85.85858585858585,87.87878787878788,89.8989898989899,91.91919191919192,93.93939393939394,95.95959595959596,97.97979797979798,100.0],"y":[-100.0,-97.97979797979798,-95.95959595959596,-93.93939393939394,-91.91919191919192,-89.8989898989899,-87.87878787878788,-85.85858585858585,-83.83838383838383,-81.81818181818181,-79.79797979797979,-77.77777777777777,-75.75757575757575,-73.73737373737373,-71.71717171717171,-69.69696969696969,-67.67676767676767,-65.65656565656565,-63.63636363636363,-61.61616161616162,-59.5959595959596,-57.57575757575758,-55.55555555555556,-53.535353535353536,-51.515151515151516,-49.494949494949495,-47.474747474747474,-45.45454545454545,-43.43434343434343,-41.41414141414141,-39.39393939393939,-37.37373737373738,-35.35353535353535,-33.33333333333333,-31.313131313131308,-29.292929292929287,-27.272727272727266,-25.252525252525245,-23.23232323232324,-21.212121212121218,-19.191919191919197,-17.171717171717177,-15.151515151515156,-13.131313131313135,-11.111111111111114,-9.090909090909093,-7.070707070707073,-5.050505050505052,-3.030303030303031,-1.0101010101010104,1.0101010101010104,3.030303030303031,5.050505050505052,7.070707070707073,9.090909090909093,11.111111111111114,13.131313131313135,15.151515151515156,17.171717171717177,19.191919191919197,21.212121212121218,23.23232323232324,25.252525252525245,27.272727272727266,29.2929292929293,31.313131313131322,33.33333333333334,35.353535353535364,37.373737373737384,39.393939393939405,41.414141414141426,43.43434343434345,45.45454545454547,47.47474747474749,49.49494949494951,51.5151515151515,53.53535353535352,55.55555555555554,57.575757575757564,59.595959595959584,61.616161616161605,63.636363636363626,65.65656565656565,67.67676767676767,69.69696969696969,71.71717171717171,73.73737373737373,75.75757575757575,77.77777777777777,79.79797979797979,81.81818181818181,83.83838383838383,85.85858585858585,87.87878787878788,89.8989898989899,91.91919191919192,93.93939393939394,95.95959595959596,97.97979797979798,100.0],"z":[[50000.0,48796.041220283645,47608.407305377,46437.09825528007,45282.11406999286,44143.45474951535,43021.12029384757,41915.11070298949,40825.42597694113,39752.06611570248,38695.03111927354,37654.32098765432,36629.935720844805,35621.875318845014,34630.13978165493,33654.72910927456,32695.6433017039,31752.88235894296,30826.44628099173,29916.335067850217,29022.54871951841,28145.087235996325,27283.950617283946,26439.138863381286,25610.651974288336,24798.489950005096,24002.652790531574,23223.140495867763,22459.95306601367,21713.090500969283,20982.552800734615,20268.339965309664,19570.451994694413,18888.888888888883,18223.650647893064,17574.737271706963,16942.148760330576,16325.8851137639,15725.94633200694,15142.332415059689,14575.043362922153,14024.079175594328,13489.439853076217,12971.12539536782,12469.135802469136,11983.471074380166,11514.131211100908,11061.116212631365,10624.426078971534,10204.060810121417,9800.020406081012,9412.30486685032,9040.914192429344,8685.84838281808,8347.107438016528,8024.691358024691,7718.600142842566,7428.8337924701555,7155.392306907458,6898.275686154473,6657.483930211202,6433.017039077645,6224.8750127538015,6033.0578512396705,5857.565554535251,5698.398122640546,5555.555555555555,5429.037853280277,5318.8450158147125,5224.97704315886,5147.433935312723,5086.215692276298,5041.322314049587,5012.7538006325885,5000.510152025303,5004.591368227731,5024.997449239874,5061.728395061728,5114.784205693297,5184.164881134578,5269.870421385573,5371.90082644628,5490.256096316702,5624.9362309968365,5775.941230486685,5943.271094786246,6126.92582389552,6326.905417814509,6543.209876543209,6775.839200081623,7024.793388429752,7290.072441587592,7571.6763595551465,7869.605142332414,8183.858789919395,8514.43730231609,8861.340679522498,9224.56892153862,9604.122028364452,10000.0],[49196.00040812162,48000.20406081012,46820.732578308336,45657.58596061626,44510.764207733904,43380.26731966126,42266.09529639833,41168.248137945106,40086.7258443016,39021.52841546781,37972.65585144373,36940.10815222936,35923.88531782471,34923.98734822977,33940.41424344454,32973.16600346903,32022.24262830323,31087.644117947144,30169.37047240077,29267.421691664113,28381.797775737166,27512.498724619934,26659.524538312413,25822.87521681461,25002.550760126513,24198.551168248134,23410.876441179465,22639.526578920515,21884.501581471275,21145.801448831746,20423.426181001934,19717.37577798184,19027.650239771447,18354.24956637077,17697.173757779812,17056.422813998568,16431.996735027034,15823.895520865215,15232.119171513114,14656.667686970719,14097.541067238039,13554.73931231507,13028.262422201817,12518.110396898277,12024.28323640445,11546.780940720335,11085.603509845934,10640.750943781248,10212.223242526272,9800.020406081012,9404.142434445464,9024.58932761963,8661.36108560351,8314.457708397102,7983.879196000408,7669.625548413426,7371.6967656361585,7090.092847668605,6824.813794510764,6575.859606162636,6343.230282624221,6126.92582389552,5926.946229976534,5743.291500867259,5575.961636567697,5424.956637077848,5290.276502397714,5171.921232527293,5069.890827466585,4984.1852872155905,4914.804611774309,4861.74880114274,4825.017855320886,4804.611774308743,4800.530558106315,4812.7742067136005,4841.3427201305985,4886.236098357311,4947.454341393735,5024.997449239872,5118.8654218957245,5229.058259361289,5355.575961636567,5498.418528721559,5657.585960616263,5833.078257320681,6024.8954188348125,6233.037445158657,6457.504336292214,6698.296092235485,6955.41271298847,7228.854198551167,7518.620548923578,7824.711764105703,8147.12784409754,8485.868788899092,8840.934598510357,9212.325272931334,9600.040812162024,10004.081216202429],[48400.163248648096,47212.52933374145,46041.22028364452,44886.23609835731,43747.57677787981,42625.24232221202,41519.23273135394,40429.54800530558,39356.188144066924,38299.153147638,37258.44301601877,36234.057749209256,35225.997347209464,34234.26181001938,33258.85113763901,32299.765330068356,31357.004387307414,30430.568309356182,29520.457096214668,28626.67074788287,27749.209264360776,26888.0726456484,26043.260891745736,25214.774002652786,24402.61197836955,23606.774818896025,22827.262524232217,22064.07509437812,21317.212529333738,20586.674829099065,19872.46199367411,19174.574023058874,18493.010917253334,17827.77267625752,17178.859300071417,16546.27078869503,15930.007142128352,15330.068360371388,14746.454443424143,14179.165391286604,13628.20120395878,13093.56188144067,12575.247423732273,12073.25783083359,11587.593102744619,11118.25323946536,10665.238240995817,10228.548107335986,9808.182838485867,9404.142434445464,9016.426895214774,8645.036220793796,8289.970411182532,7951.229466380981,7628.8133863891435,7322.722171207019,7032.955820834608,6759.514335271911,6502.3977145189265,6261.605958575655,6037.139067442096,5828.997041118252,5637.179879604122,5461.6875828997045,5302.520151004999,5159.677583920007,5033.1598816447295,4922.967044179164,4829.099071523314,4751.555963677176,4690.33772064075,4645.444342414039,4616.875828997041,4604.632180389755,4608.713396592184,4629.119477604326,4665.850423426181,4718.906234057749,4788.28690949903,4873.992449750025,4976.0228548107325,5094.378124681154,5229.058259361289,5380.063258851137,5547.393123150698,5731.047852259973,5931.02744617896,6147.331904907662,6379.961228446076,6628.915416794203,6894.194469952045,7175.798387919599,7473.727170696867,7787.980818283848,8118.559330680542,8465.46270788695,8828.690949903072,9208.244056728905,9604.122028364452,10016.324864809714],[47612.48852157943,46433.01703907765,45269.87042138557,44123.048668503216,42992.55178043057,41878.37975716763,40780.53259871442,39699.01030507091,38633.81287623712,37584.94031221304,36552.392612998665,35536.16977859402,34536.271808999074,33552.69870421385,32585.45046423834,31634.52708907254,30699.92857871645,29781.654933170077,28879.70615243342,27994.082236506478,27124.783185389242,26271.808999081724,25435.159677583913,24614.835220895824,23810.83562901744,23023.160901948777,22251.811039689823,21496.786042240583,20758.085909601057,20035.710641771242,19329.660238751145,18639.93470054076,17966.534027140082,17309.458218549124,16668.70727476788,16044.281195796344,15436.179981634525,14844.403632282418,14268.952147740027,13709.825528007346,13167.02377308438,12640.546882971126,12130.394857667587,11636.56769717376,11159.065401489645,10697.887970615244,10253.035404550556,9824.507703295581,9412.30486685032,9016.426895214774,8636.87378838894,8273.645546372818,7926.742169166411,7596.163656769716,7281.910009182736,6983.981226405468,6702.377308437914,6437.098255280073,6188.144066931945,5955.51474339353,5739.210284664829,5539.2306907458415,5355.575961636568,5188.246097337007,5037.241097847158,4902.560963167023,4784.205693296602,4682.175288235894,4596.469747984899,4527.0890725436175,4474.033261912049,4437.302316090195,4416.896235078053,4412.815018875624,4425.05866748291,4453.627180899908,4498.520559126619,4559.738802163044,4637.281910009182,4731.149882665033,4841.3427201305985,4967.860422405876,5110.702989490867,5269.870421385572,5445.362718089989,5637.179879604121,5845.321905927965,6069.788797061524,6310.580553004795,6567.697173757779,6841.138659320477,7130.905009692888,7436.996224875012,7759.41230486685,8098.1532496684,8453.219059279665,8824.609733700643,9212.325272931334,9616.365676971738,10036.730945821855],[46832.97622691562,45661.66717681869,44506.682991531474,43368.023671053976,42245.689215386185,41139.67962452811,40049.994898479745,38976.635037241096,37919.60004081216,36878.889909192934,35854.50464238343,34846.44424038363,33854.708703193544,32879.29803081318,31920.212223242524,30977.45128048158,30051.015202530347,29140.903989388833,28247.117641057033,27369.656157534944,26508.519538822566,25663.7077849199,24835.22089582695,24023.058871543715,23227.221712070193,22447.709417406382,21684.521987552285,20937.659422507902,20207.121722273234,19492.908886848276,18795.020916233032,18113.45781042751,17448.219569431687,16799.306193245586,16166.717681869195,15550.454035302517,14950.515253545555,14366.901336598303,13799.61228446077,13248.648097132946,12714.008774614837,12195.69431690644,11693.704724007755,11208.039995918785,10738.700132639528,10285.685134169982,9848.995000510151,9428.629731660034,9024.58932761963,8636.87378838894,8265.483113967963,7910.417304356698,7571.6763595551465,7249.260279563308,6943.169064381185,6653.402714008774,6379.961228446076,6122.844607693092,5882.052851749821,5657.585960616262,5449.443934292418,5257.626772778287,5082.13447607387,4922.967044179166,4780.124477094173,4653.606774818895,4543.413937353331,4449.54596469748,4372.002856851341,4310.784613814916,4265.891235588205,4237.322722171207,4225.079073563922,4229.160289766351,4249.566370778492,4286.297316600347,4339.353127231914,4408.733802673196,4494.439342924191,4596.469747984898,4714.82501785532,4849.505152535455,5000.510152025302,5167.840016324864,5351.494745434138,5551.474339353126,5767.7787980818275,6000.408121620242,6249.36230996837,6514.64136312621,6796.245281093766,7094.174063871033,7408.427711458014,7739.006223854708,8085.909601061116,8449.137843077237,8828.690949903072,9224.56892153862,9636.771757983879,10065.299459238853],[46061.626364656666,44898.4797469646,43751.65799408224,42621.16110600959,41506.98908274666,40409.141924293435,39327.61963064993,38262.42220181614,37213.54963779206,36181.00193857769,35164.77910417304,34164.8811345781,33181.308029792875,32214.059789817362,31263.136414651563,30328.537904295474,29410.264258749103,28508.315478012442,27622.6915620855,26753.392510968268,25900.418324660743,25063.76900316294,24243.444546474842,23439.444954596467,22651.7702275278,21880.420365268845,21125.395367819605,20386.69523518008,19664.319967350268,18958.269564330163,18268.54402611978,17595.14335271911,16938.06754412815,16297.316600346901,15672.890521375368,15064.789307213547,14473.01295786144,13897.561473319047,13338.434853586368,12795.633098663402,12269.15620855015,11759.004183246609,11265.177022752781,10787.674727068668,10326.497296194266,9881.644730129578,9453.117028874603,9040.914192429344,8645.036220793796,8265.483113967963,7902.254871951841,7555.351494745433,7224.772982348739,6910.519334761758,6612.590551984491,6330.9866340169365,6065.707580859095,5816.753392510967,5584.124068972553,5367.8196102438515,5167.840016324863,4984.18528721559,4816.855422916029,4665.850423426181,4531.170288746045,4412.815018875624,4310.784613814916,4225.079073563921,4155.69839812264,4102.642587491072,4065.911641669217,4045.505560657076,4041.4243444546473,4053.667993061932,4082.2365064789306,4127.129884705641,4188.348127742067,4265.891235588205,4359.759208244056,4469.9520457096205,4596.469747984898,4739.312315069889,4898.479746964595,5073.972043669012,5265.789205183143,5473.931231506988,5698.398122640546,5939.1898785838175,6196.306499336802,6469.747984899499,6759.514335271911,7065.6055504540345,7388.021630445872,7726.762575247423,8081.828384858687,8453.219059279665,8840.934598510357,9244.97500255076,9665.340271400877,10102.030405060708],[45298.43893480257,44143.45474951535,43004.795429037855,41882.46097337006,40776.45138251199,39686.766656463624,38613.406795224975,37556.37179879603,36515.66166717681,35491.27640036731,34483.21599836751,33491.48046117743,32516.06978879706,31556.9839812264,30614.223038465458,29687.78696051423,28777.675747372712,27883.88939904091,27006.42791551882,26145.291296806445,25300.47954290378,24471.99265381083,23659.830629527594,22863.993470054073,22084.48117539026,21321.293745536164,20574.43118049178,19843.893480257113,19129.680644832155,18431.79267421691,17750.229568411385,17084.991327415573,16436.077951229465,15803.489439853074,15187.225793286398,14587.287011529432,14003.673094582184,13436.384042444646,12885.419855116827,12350.780532598716,11832.466074890319,11330.476481991635,10844.811753902664,10375.471890623407,9922.456892153861,9485.76675849403,9065.401489643913,8661.36108560351,8273.645546372818,7902.254871951841,7547.189062340576,7208.448117539026,6886.032037547188,6579.9408223650635,6290.174471992654,6016.732986429955,5759.61636567697,5518.8246097337,5294.357718600142,5086.215692276297,4894.398530762166,4718.906234057748,4559.738802163045,4416.896235078053,4290.378532802774,4180.18569533721,4086.317722681358,4008.7746148352203,3947.556371798795,3902.662993572084,3874.094480155086,3861.850831547801,3865.9320477502297,3886.338128762371,3923.0690745842257,3976.1248852157933,4045.505560657075,4131.21110090807,4233.241505968778,4351.596775839199,4486.276910519334,4637.281910009182,4804.6117743087425,4988.266503418017,5188.246097337005,5404.550556065707,5637.179879604121,5886.134067952249,6151.41312111009,6433.017039077644,6730.9458218549125,7045.199469441893,7375.777981838587,7722.681359044995,8085.909601061116,8465.46270788695,8861.340679522498,9273.543515967758,9702.071217222732,10146.92378328742],[44543.41393735333,43396.59218447097,42266.09529639833,41151.92327313539,40054.076114682175,38972.553821038666,37907.35639220487,36858.48382818079,35825.93612896642,34809.71329456178,33809.81532496684,32826.24222018161,31858.993980206098,30908.070605040295,29973.472094684214,29055.19844913784,28153.24966840118,27267.625752474232,26398.326701357,25545.352515049482,24708.70319355167,23888.378736863582,23084.3791449852,22296.704417916535,21525.35455565758,20770.32955820834,20031.629425568815,19309.254157739,18603.203754718903,17913.478216508516,17240.077543107844,16583.00173451689,15942.250790735638,15317.824711764104,14709.723497602283,14117.947148250176,13542.495663707783,12983.3690439751,12440.567289052138,11914.090398938884,11403.938373635345,10910.111213141518,10432.608917457403,9971.431486583002,9526.578920518314,9098.05121926334,8685.84838281808,8289.970411182532,7910.417304356698,7547.189062340576,7200.2856851341685,6869.707172737475,6555.453525150494,6257.524742373226,5975.920824405673,5710.641771247831,5461.687582899703,5229.058259361289,5012.753800632588,4812.7742067136,4629.119477604325,4461.789613304763,4310.784613814917,4176.104479134782,4057.7492092643597,3955.718804203652,3870.0132639526573,3800.6325885113756,3747.576777879807,3710.845832057953,3690.439751045811,3686.358534843383,3698.6021834506682,3727.1706968676663,3772.064075094378,3833.282318130802,3910.8254259769406,4004.6933986327917,4114.886236098357,4241.403938373634,4384.2465054586255,4543.41393735333,4718.9062340577475,4910.723395571879,5118.865421895724,5343.332313029282,5584.124068972553,5841.240689725538,6114.682175288235,6404.448525660646,6710.539740842771,7032.955820834608,7371.6967656361585,7726.762575247423,8098.1532496684,8485.868788899092,8889.909192939496,9310.274461789613,9746.964595449444,10199.979593918988],[43796.551372308946,42657.89205183144,41535.55759616365,40429.54800530558,39339.86327925722,38266.50341801856,37209.46842158963,36168.75828997041,35144.37302316089,34136.3126211611,33144.57708397102,32169.16641159065,31210.080604019993,30267.31966125905,29340.883583307823,28430.772370166305,27536.986021834502,26659.52453831241,25798.387919600034,24953.576165697374,24125.089276604424,23312.927252321188,22517.090092847662,21737.577798183855,20974.390368329758,20227.527803285375,19496.990103050703,18782.77726762575,18084.889297010508,17403.32619120498,16738.08795020916,16089.17457402306,15456.586062646667,14840.32241607999,14240.383634323027,13656.769717375775,13089.480665238238,12538.516477910414,12003.877155392307,11485.56269768391,10983.573104785228,10497.908376696256,10028.568513416998,9575.553514947454,9138.863381287623,8718.498112437506,8314.457708397102,7926.742169166411,7555.351494745433,7200.2856851341685,6861.544740332618,6539.128660340781,6233.037445158657,5943.271094786245,5669.829609223548,5412.712988470563,5171.921232527292,4947.4543413937345,4739.31231506989,4547.495153555758,4372.002856851341,4212.835424956636,4069.9928578716454,3943.4751555963676,3833.282318130802,3739.414345474951,3661.8712376288127,3600.6529945923876,3555.7596163656763,3527.1911029486782,3514.9474543413935,3519.028670543822,3539.434751555964,3576.1656973778186,3629.2215080093865,3698.6021834506673,3784.3077237016623,3886.3381287623706,4004.6933986327917,4139.373533312926,4290.378532802774,4457.708397102335,4641.36312621161,4841.342720130598,5057.647178859299,5290.276502397714,5539.2306907458415,5804.509743903683,6086.113661871237,6384.042444648504,6698.296092235486,7028.874604632179,7375.777981838587,7739.006223854708,8118.559330680542,8514.43730231609,8926.640138761351,9355.167840016325,9800.020406081012,10261.197836955413],[43057.85123966942,41927.354351596776,40813.182328333845,39715.33516988062,38633.81287623711,37568.615447403325,36519.742883379244,35487.19518416488,34470.972349760224,33471.074380165286,32487.50127538006,31520.253035404545,30569.32966023875,29634.73114988266,28716.45750433629,27814.50872359963,26928.88480767268,26059.585756555447,25206.61157024793,24369.962248750126,23549.63779206203,22745.63820018365,21957.96347311498,21186.61361085603,20431.58861340679,19692.888480767262,18970.51321293745,18264.462809917353,17574.737271706967,16901.336598306294,16244.260789715332,15603.50984593409,14979.08376696255,14370.982552800733,13779.206203448626,13203.75471890623,12644.628099173551,12101.826344250583,11575.349454137333,11065.197428833793,10571.370268339966,10093.867972655851,9632.69054178145,9187.837975716764,8759.31027446179,8347.107438016528,7951.229466380981,7571.6763595551465,7208.448117539026,6861.544740332618,6530.966227935924,6216.712580348943,5918.783797571676,5637.17987960412,5371.90082644628,5122.946638098152,4890.3173145597375,4674.012855831037,4474.033261912049,4290.378532802774,4123.048668503213,3972.043669013365,3837.3635343332307,3719.00826446281,3616.977859402101,3531.2723191511063,3461.8916437098246,3408.8358330782567,3372.1048872564015,3351.6988062442606,3347.617590041832,3359.8612386491172,3388.4297520661157,3433.323130292827,3494.541373329252,3572.084481175389,3665.9524538312407,3776.1452912968057,3902.6629935720835,4045.5055606570745,4204.672992551779,4380.165289256197,4571.982450770328,4780.124477094173,5004.5913682277305,5245.383124171002,5502.499744923986,5775.941230486685,6065.707580859095,6371.798796041219,6694.214876033057,7032.955820834608,7388.021630445872,7759.41230486685,8147.12784409754,8551.168248137945,8971.533516988064,9408.223650647893,9861.238649117437,10330.578512396694],[42327.31353943475,41204.97908376696,40098.96949290889,39009.284766860525,37935.92490562187,36878.889909192934,35838.179777573714,34813.7945107642,33805.73410876441,32813.998571574324,31838.587899193953,30879.5020916233,29936.74114886236,29010.305070911127,28100.193857769613,27206.407509437806,26328.946025915717,25467.80940720334,24622.997653300677,23794.51076420773,22982.34873992449,22186.51158045097,21406.99928578716,20643.811855933065,19896.94929088868,19166.41159065401,18452.198755229056,17754.310784613812,17072.747678808282,16407.509437812467,15758.596061626362,15126.007550249975,14509.743903683295,13909.805121926333,13326.19120497908,12758.902152841543,12207.93796551372,11673.298642995609,11154.984185287216,10652.994592388532,10167.329864299561,9697.990001020304,9244.97500255076,8808.28486889093,8387.919600040812,7983.879196000408,7596.163656769716,7224.772982348739,6869.707172737475,6530.966227935924,6208.550147944086,5902.458932761962,5612.692582389551,5339.2510968268525,5082.134476073869,4841.342720130598,4616.87582899704,4408.733802673196,4216.916641159064,4041.4243444546464,3882.256912559942,3739.4143454749506,3612.8966431996732,3502.7038057341088,3408.8358330782567,3331.2927252321183,3270.0744821956937,3225.181103968982,3196.612590551984,3184.368941944699,3188.4501581471277,3208.8562391592695,3245.5871849811247,3298.6429956126926,3368.023671053974,3453.729211304968,3555.7596163656763,3674.1148862360974,3808.795020916232,3959.80002040608,4127.129884705641,4310.784613814915,4510.764207733903,4727.068666462605,4959.697990001019,5208.652178349147,5473.931231506988,5755.535149474543,6053.463932251811,6367.717579838791,6698.296092235486,7045.199469441893,7408.427711458014,7787.980818283848,8183.858789919395,8596.061626364657,9024.589327619631,9469.441893684318,9930.619324558718,10408.121620242833],[41604.93827160494,40490.766248342,39392.91908988878,38311.39679624527,37246.199367411486,36197.326803387405,35164.77910417304,34148.556269768385,33148.65830017345,32165.08519538822,31197.83695541271,30246.91358024691,29312.315069890825,28394.04142434445,27492.09264360779,26606.468727680844,25737.169676563608,24884.19549025609,24047.546168758287,23227.221712070193,22423.22212019181,21635.547393123146,20864.197530864192,20109.172533414952,19370.472400775427,18648.097132945615,17942.046729925518,17252.321191715127,16578.920518314455,15921.844709723495,15281.093765942247,14656.667686970717,14048.566472808896,13456.790123456787,12881.338638914394,12322.212019181712,11779.410264258746,11252.933374145492,10742.781348841956,10248.954188348127,9771.451892664014,9310.274461789613,8865.421895724927,8436.894194469953,8024.691358024691,7628.8133863891435,7249.260279563308,6886.032037547188,6539.128660340781,6208.550147944086,5894.296500357105,5596.3677175798375,5314.763799612283,5049.484746454442,4800.530558106315,4567.9012345679,4351.596775839199,4151.617181920211,3967.962452810936,3800.6325885113756,3649.6275890215275,3514.9474543413926,3396.592184470972,3294.5617794102636,3208.8562391592686,3139.4755637179874,3086.419753086419,3049.6888072645643,3029.2827262524224,3025.201510049995,3037.4451586572795,3066.013672074278,3110.90705030099,3172.1252933374144,3249.6684011835528,3343.536373839403,3453.729211304968,3580.2469135802457,3723.0894806652373,3882.2569125599416,4057.7492092643597,4249.566370778491,4457.708397102335,4682.175288235893,4922.967044179164,5180.083664932149,5453.5251504948465,5743.291500867258,6049.382716049382,6371.798796041219,6710.539740842771,7065.6055504540345,7436.996224875012,7824.711764105703,8228.752168146108,8649.117436996225,9085.807570656056,9538.8225691256,10008.162432404857,10493.827160493827],[40890.72543617998,39784.7158453219,38695.03111927354,37621.67125803489,36564.636261605956,35523.926129986736,34499.54086317722,33491.48046117742,32499.744923987342,31524.334251606975,30565.24844403632,29622.487501275376,28696.05142332415,27785.940210182627,26892.153861850828,26014.692378328735,25153.55575961636,24308.744005713696,23480.25711662075,22668.095092337513,21872.257932863988,21092.74563820018,20329.55820834608,19582.6956433017,18852.15794306703,18137.945107642074,17440.05713702683,16758.4940312213,16093.255790225485,15444.34241403938,14811.753902662991,14195.490256096316,13595.55147433935,13011.9375573921,12444.648505254563,11893.684317926738,11359.044995408629,10840.730537700232,10338.74094480155,9853.07621671258,9383.736353433324,8930.72135496378,8494.031221303949,8073.665952453831,7669.625548413426,7281.910009182736,6910.519334761758,6555.453525150494,6216.712580348943,5894.296500357105,5588.20528517498,5298.43893480257,5024.997449239872,4767.880828486887,4527.0890725436175,4302.622181410059,4094.4801550862144,3902.662993572083,3727.1706968676654,3568.003264972961,3425.1606978879695,3298.6429956126917,3188.4501581471277,3094.5821854912756,3017.0390776451377,2955.8208346087126,2910.927456382001,2882.358942965003,2870.115294357718,2874.1965105601466,2894.6025915722885,2931.3335373941436,2984.389348025712,3053.7700234669933,3139.475563717988,3241.5059687786948,3359.8612386491163,3494.541373329251,3645.546372819099,3812.8762371186604,3996.5309662279346,4196.510560146922,4412.8150188756235,4645.444342414038,4894.398530762166,5159.677583920007,5441.281501887562,5739.2102846648295,6053.463932251811,6384.042444648504,6730.9458218549125,7094.174063871033,7473.727170696867,7869.605142332414,8281.807978777675,8710.33568003265,9155.188246097337,9616.365676971738,10093.867972655851,10587.695133149678],[40184.675033159874,39086.82787470666,38005.30558106315,36940.10815222936,35891.23558820528,34858.68788899091,33842.46505458626,32842.56708499132,31858.993980206098,30891.745740230584,29940.822365064785,29006.2238547087,28087.950209162325,27186.001428425665,26300.37751249872,25431.078461381487,24578.104275073965,23741.454953576158,22921.130496888065,22117.13090500969,21329.45617794102,20558.106315682067,19803.081318232827,19064.381185593305,18342.00591776349,17635.955514743393,16946.229976533003,16272.829303132332,15615.75349454137,14975.002550760124,14350.57647178859,13742.475257626773,13150.698908274662,12575.24742373227,12016.120803999589,11473.319049076621,10946.842158963369,10436.690133659828,9942.862973166004,9465.360677481889,9004.18324660749,8559.330680542802,8130.802979287828,7718.600142842566,7322.722171207019,6943.169064381185,6579.9408223650635,6233.037445158657,5902.458932761962,5588.20528517498,5290.276502397713,5008.672584430159,4743.393531272318,4494.43934292419,4261.810019385776,4045.5055606570745,3845.5259667380865,3661.871237628812,3494.5413733292507,3343.5363738394026,3208.8562391592686,3090.500969288847,2988.4705642281397,2902.7650239771447,2833.384348535863,2780.3285379042945,2743.59759208244,2723.1915110702985,2719.11029486787,2731.3539434751556,2759.9224568921536,2804.8158351188654,2866.0340781552904,2943.5771860014283,3037.44515865728,3147.637996122843,3274.155698398122,3416.998265483113,3576.165697377817,3751.6579940822353,3943.475155596366,4151.617181920211,4376.084073053768,4616.87582899704,4873.992449750024,5147.4339353127225,5437.200285685133,5743.291500867258,6065.707580859095,6404.448525660646,6759.514335271911,7130.905009692888,7518.620548923578,7922.660952963983,8343.0262218141,8779.71635547393,9232.731353943476,9702.071217222732,10187.735945311702,10689.725538210387],[39486.78706254464,38397.102336496275,37323.74247525762,36266.707478828685,35225.997347209464,34201.61208039995,33193.55167840016,32201.816141210078,31226.405468829707,30267.31966125905,29324.55871849811,28398.122640546877,27488.011427405363,26594.225079073556,25716.76359555147,24855.626976839092,24010.815222936428,23182.328333843478,22370.16630956024,21574.329150086724,20794.81685542291,20031.629425568815,19284.766860524433,18554.229160289764,17840.01632486481,17142.128354249566,16460.565248444036,15795.327007448217,15146.413631262114,14513.825119885723,13897.561473319045,13297.622691562086,12714.008774614831,12146.719722477295,11595.755535149472,11061.116212631361,10542.801754922964,10040.81216202428,9555.147433935312,9085.807570656056,8632.792572186512,8196.102438526681,7775.737169676563,7371.6967656361585,6983.981226405468,6612.590551984491,6257.524742373226,5918.783797571676,5596.3677175798375,5290.276502397713,5000.510152025302,4727.068666462605,4469.9520457096205,4229.160289766349,4004.6933986327913,3796.5513723089466,3604.7342107948157,3429.2419140903976,3270.074482195693,3127.231915110702,3000.714212835424,2890.521375369859,2796.6534027140087,2719.11029486787,2657.892051831445,2612.9986736047335,2584.430160187735,2572.1865115804503,2576.267727782879,2596.6738087950207,2633.404754616876,2686.4605652484443,2755.841240689726,2841.5467809407205,2943.577186001429,3061.9324558718486,3196.6125905519834,3347.617590041831,3514.9474543413926,3698.602183450667,3898.581777369655,4114.886236098356,4347.51555963677,4596.469747984898,4861.7488011427395,5143.352719110294,5441.281501887562,5755.535149474543,6086.113661871237,6433.017039077644,6796.245281093766,7175.798387919599,7571.6763595551465,7983.879196000407,8412.406897255381,8857.25946332007,9318.43689419447,9795.939189878583,10289.76635037241,10799.918375675952],[38797.06152433425,37715.539230690745,36650.34180185695,35601.46923783288,34568.9215386185,33552.69870421385,32552.80073461891,31569.227629833687,30601.979389858174,29651.056014692374,28716.457504336286,27798.183858789915,26896.235078053254,26010.611162126308,25141.312111009076,24288.337924701555,23451.688603203747,22631.364146515654,21827.36455463728,21039.68982756861,20268.339965309657,19513.31496786042,18774.614835220895,18052.23956739108,17346.189164370982,16656.463626160592,15983.06295275992,15325.987144168961,14685.236200387713,14060.810121416178,13452.708907254359,12860.932557902255,12285.481073359857,11726.354453627178,11183.552698704212,10657.075808590957,10146.923783287417,9653.09662279359,9175.59432710948,8714.416896235078,8269.564330170391,7841.036628915416,7428.8337924701555,7032.955820834608,6653.402714008774,6290.174471992654,5943.271094786245,5612.692582389551,5298.43893480257,5000.510152025302,4718.9062340577475,4453.627180899907,4204.672992551779,3972.0436690133647,3755.7392102846634,3555.759616365676,3372.104887256401,3204.7750229568396,3053.770023466992,2919.089888786857,2800.734618916436,2698.704213855728,2612.998673604734,2543.6179981634523,2490.562187531884,2453.8312417100287,2433.4251606978873,2429.3439444954593,2441.587593102744,2470.156106519743,2515.0494847464543,2576.2677277828793,2653.8108356290177,2747.6788082848693,2857.871645750434,2984.38934802571,3127.231915110702,3286.3993470054065,3461.891643709824,3653.7088052239556,3861.8508315477998,4086.3177226813577,4327.1094786246285,4584.2260993776135,4857.667584940311,5147.4339353127225,5453.5251504948465,5775.941230486685,6114.682175288235,6469.747984899499,6841.138659320477,7228.854198551167,7632.894602591571,8053.259871441689,8489.95000510152,8942.965003571064,9412.304866850322,9897.969594939292,10399.959187837976,10918.273645546373],[38115.49841852872,37042.13855729007,35985.103560861135,34944.393429241914,33920.0081624324,32911.94776043261,31920.212223242524,30944.801550862154,29985.715743291497,29042.95480053055,28116.518722579323,27206.407509437806,26312.621161106006,25435.159677583913,24574.02305887154,23729.211304968874,22900.724415875924,22088.562391592688,21292.725232119163,20513.21293745536,19750.02550760126,19003.16294255688,18272.62524232221,17558.412406897252,16860.52443628201,16178.961330476479,15513.723089480663,14864.80971329456,14232.221201918168,13615.957555351491,13016.018773594527,12432.404856647281,11865.11580450974,11314.151617181918,10779.512294663808,10261.197836955409,9759.208244056726,9273.543515967755,8804.203652688502,8351.188654218957,7914.498520559126,7494.133251709009,7090.092847668605,6702.377308437914,6330.9866340169365,5975.920824405673,5637.17987960412,5314.763799612283,5008.672584430159,4718.9062340577475,4445.46474849505,4188.348127742066,3947.5563717987948,3723.089480665237,3514.9474543413926,3323.130292827261,3147.637996122843,2988.4705642281388,2845.6279971431472,2719.110294867869,2608.917457402305,2515.0494847464533,2437.5063769003154,2376.288133863891,2331.394755637179,2302.826242220181,2290.582593612896,2294.6638098153244,2315.069890827466,2351.8008366493214,2404.85664728089,2474.2373227221715,2559.9428629731665,2661.9732680338743,2780.328537904296,2915.0086725844285,3066.013672074277,3233.343536373838,3416.998265483113,3616.9778594021004,3833.2823181308017,4065.911641669216,4314.865830017344,4580.144883175185,4861.7488011427395,5159.677583920007,5473.931231506988,5804.509743903683,6151.41312111009,6514.64136312621,6894.194469952045,7290.072441587592,7702.275278032853,8130.802979287827,8575.655545352514,9036.832976226915,9514.33527191103,10008.162432404857,10518.314457708397,11044.79134782165],[37442.09774512805,36376.90031629425,35328.02775227017,34295.480053055806,33279.25721865115,32279.359249056215,31295.78614427099,30328.537904295477,29377.614529129674,28443.01601877359,27524.742373227215,26622.793592490558,25737.16967656361,24867.870625446376,24014.896439138858,23178.24711764105,22357.922660952958,21553.923069074575,20766.248342005914,19994.898479746964,19239.873482297724,18501.173349658195,17778.798081828383,17072.747678808282,16383.022140597895,15709.621467197223,15052.545658606263,14411.794714825015,13787.368635853481,13179.26742169166,12587.491072339553,12012.039587797164,11452.91296806448,10910.111213141514,10383.63432302826,9873.482297724719,9379.655137230891,8902.152841546776,8440.975410672381,7996.122844607692,7567.595143352718,7155.392306907458,6759.514335271911,6379.961228446076,6016.732986429955,5669.829609223548,5339.2510968268525,5024.997449239872,4727.068666462605,4445.46474849505,4180.185695337209,3931.2315069890815,3698.602183450667,3482.297724721966,3282.318130802978,3098.6634016937032,2931.3335373941422,2780.328537904294,2645.648403224159,2527.293133353738,2425.2627282930302,2339.5571880420357,2270.1765126007544,2217.1207019691865,2180.3897561473314,2159.9836751351895,2155.9024589327614,2168.1461075400466,2196.7146209570446,2241.607999183757,2302.8262422201815,2380.36935006632,2474.2373227221715,2584.4301601877364,2710.9478624630146,2853.790429548004,3012.9578614427087,3188.450158147127,3380.2673196612577,3588.4093459851024,3812.87623711866,4053.667993061931,4310.784613814915,4584.2260993776135,4873.992449750024,5180.083664932149,5502.499744923986,5841.240689725538,6196.306499336802,6567.697173757779,6955.41271298847,7359.453117028874,7779.818385878991,8216.508519538822,8669.523518008365,9138.863381287623,9624.528109376595,10126.517702275278,10644.832159983675,11179.471482501785],[36776.859504132226,35719.82450770329,34679.114376084064,33654.72910927456,32646.668707274766,31654.93317008468,30679.52249770431,29720.436690133654,28777.675747372712,27851.23966942148,26941.128456279966,26047.342107948163,25169.880624426074,24308.744005713696,23463.932251811035,22635.445362718085,21823.283338434845,21027.446178961323,20247.93388429752,19484.746454443426,18737.883889399043,18007.34618916437,17293.133353739417,16595.245383124173,15913.682277318641,15248.444036322824,14599.530660136721,13966.942148760332,13350.678502193654,12750.73972043669,12167.12580348944,11599.836751351902,11048.872564024077,10514.233241505968,9995.918783797571,9493.929190898887,9008.264462809917,8538.92459953066,8085.909601061116,7649.219467401284,7228.854198551167,6824.813794510764,6437.098255280073,6065.707580859095,5710.641771247831,5371.90082644628,5049.484746454442,4743.393531272318,4453.627180899907,4180.185695337209,3923.0690745842257,3682.2773186409545,3457.8104275073965,3249.6684011835523,3057.851239669421,2882.358942965003,2723.1915110702985,2580.348943985307,2453.8312417100287,2343.6384042444643,2249.770431588613,2172.227323742475,2111.0090807060506,2066.115702479339,2037.5471890623403,2025.3035404550556,2029.3847566574836,2049.7908376696255,2086.5217834914806,2139.577594123049,2208.9582695643303,2294.6638098153253,2396.6942148760336,2515.049484746455,2649.72961942659,2800.734618916436,2968.0644832159974,3151.7192123252717,3351.6988062442597,3568.0032649729606,3800.632588511375,4049.5867768595026,4314.865830017344,4596.469747984898,4894.398530762166,5208.652178349147,5539.2306907458415,5886.134067952249,6249.36230996837,6628.915416794203,7024.793388429752,7436.996224875012,7865.523926129986,8310.376492194673,8771.553923069074,9249.056218753189,9742.883379247016,10253.035404550556,10779.51229466381,11322.314049586777],[36119.783695541264,35070.91113151719,34038.363432302824,33022.14059789817,32022.242628303233,31038.669523518005,30071.42128354249,29120.497908376692,28185.899398020603,27267.625752474232,26365.676971737572,25480.053055810626,24610.754004693394,23757.779818385872,22921.13049688807,22100.806040199972,21296.806448321593,20509.13172125293,19737.78185899398,18982.75686154474,18244.056728905216,17521.6814610754,16815.6310580553,16125.905519844913,15452.50484644424,14795.42903785328,14154.678094072035,13530.252015100501,12922.15080093868,12330.374451586573,11754.922967044178,11195.796347311498,10652.994592388532,10126.517702275278,9616.365676971738,9122.538516477909,8645.036220793796,8183.858789919394,7739.006223854711,7310.478522599737,6898.275686154476,6502.397714518928,6122.844607693094,5759.616365676973,5412.7129884705655,5082.134476073871,4767.880828486889,4469.952045709622,4188.348127742068,3923.0690745842267,3674.1148862360988,3441.485562697684,3225.181103968983,3025.2015100499952,2841.5467809407205,2674.216916641159,2523.211917151311,2388.5317824711765,2270.176512600755,2168.1461075400466,2082.440567289052,2013.0598918477708,1960.0040812162028,1923.2731353943477,1902.867054382206,1898.7858381797778,1911.029486787063,1939.598000204061,1984.4913784307728,2045.7096214671978,2123.252729313336,2217.1207019691874,2327.313539434753,2453.8312417100306,2596.6738087950216,2755.841240689724,2931.3335373941427,3123.1506989082736,3331.292725232118,3555.759616365676,3796.5513723089466,4053.6679930619307,4327.1094786246285,4616.87582899704,4922.967044179164,5245.383124171002,5584.124068972553,5939.189878583817,6310.580553004795,6698.296092235485,7102.33649627589,7522.701765126007,7959.391898785837,8412.406897255381,8881.746760534637,9367.41148862361,9869.401081522294,10387.71553923069,10922.354861748801,11473.319049076625],[35470.87031935516,34430.16018773594,33405.77492092643,32397.714518926638,31405.978981736553,30430.568309356182,29471.482501785526,28528.721559024583,27602.285481073355,26692.174267931838,25798.387919600034,24920.926436077945,24059.78981736557,23214.978063462906,22386.491174369956,21574.32915008672,20778.491990613198,19998.97969594939,19235.792266095297,18488.929701050914,17758.392000816246,17044.179165391288,16346.291194776044,15664.728088970514,14999.489847974697,14350.576471788594,13717.987960412203,13101.724313845527,12501.785532088563,11918.171615141311,11350.882563003774,10799.91837567595,10265.27905315784,9746.964595449444,9244.97500255076,8759.310274461788,8289.97041118253,7836.955412712987,7400.26527905316,6979.900010203042,6575.859606162638,6188.144066931947,5816.75339251097,5461.687582899705,5122.946638098154,4800.530558106317,4494.439342924192,4204.672992551781,3931.2315069890833,3674.1148862360988,3433.3231302928275,3208.8562391592695,3000.7142128354253,2808.897051321294,2633.404754616876,2474.237322722171,2331.39475563718,2204.8770533619017,2094.684215896337,2000.8162432404856,1923.2731353943477,1862.0548923579227,1817.1615141312113,1788.593000714213,1776.349352106928,1780.4305683093564,1800.836649321498,1837.567595143353,1890.6234057749214,1960.004081216203,2045.7096214671978,2147.740026527906,2266.0952963983277,2400.775431078462,2551.7804305683103,2719.1102948678695,2902.765023977144,3102.744617896132,3319.049076624833,3551.6784001632473,3800.6325885113747,4065.911641669216,4347.51555963677,4645.444342414038,4959.697990001019,5290.276502397714,5637.17987960412,6000.408121620242,6379.961228446076,6775.839200081623,7188.042036526884,7616.569737781858,8061.422303846545,8522.599734720945,9000.10203040506,9493.929190898887,10004.081216202429,10530.558106315682,11073.359861238649,11632.486480971329],[34830.11937557392,33797.571676359556,32781.348841954896,31781.45087235996,30797.877767574733,29830.62952759922,28879.70615243342,27945.107642077335,27026.83399653096,26124.8852157943,25239.261299867354,24369.962248750122,23516.988062442604,22680.338740944793,21860.014284256704,21056.014692378325,20268.33996530966,19496.990103050706,18741.96510560147,18003.264972961944,17280.88970513213,16574.83930211203,15885.113763901643,15211.713090500969,14554.63728191001,13913.886338128763,13289.46025915723,12681.35904499541,12089.582695643301,11514.131211100907,10955.004591368226,10412.20283644526,9885.725946332008,9375.573921028466,8881.74676053464,8404.244464850524,7943.067033976124,7498.214467911436,7069.686766656466,6657.483930211204,6261.605958575657,5882.052851749823,5518.824609733702,5171.921232527294,4841.342720130599,4527.089072543619,4229.160289766351,3947.5563717987966,3682.2773186409554,3433.3231302928275,3200.693806754413,2984.389348025712,2784.409754106724,2600.7550249974493,2433.425160697888,2282.42016120804,2147.7400265279052,2029.3847566574839,1927.3543515967758,1841.648811345781,1772.2681359044996,1719.2123252729314,1682.4813794510767,1662.075298438935,1657.9940822365065,1670.2377308437917,1698.80624426079,1743.6996224875015,1804.9178655239266,1882.460973370065,1976.3289460259164,2086.521783491481,2213.0394857667598,2355.882052851751,2515.0494847464556,2690.541781450871,2882.3589429650024,3090.500969288847,3314.9678604224046,3555.7596163656754,3812.87623711866,4086.3177226813573,4376.084073053768,4682.175288235893,5004.5913682277305,5343.332313029281,5698.398122640546,6069.788797061523,6457.504336292214,6861.544740332618,7281.910009182736,7718.600142842566,8171.61514131211,8640.955004591367,9126.619732680338,9628.609325579022,10146.92378328742,10681.56310580553,11232.527293133353,11799.81634527089],[34197.53086419753,33173.14559738802,32165.085195388223,31173.349658198138,30197.938985817767,29238.85317824711,28296.09223548617,27369.65615753494,26459.544944393423,25565.75859606162,24688.29711253953,23827.160493827156,22982.34873992449,22153.86185083154,21341.69982654831,20545.862667074784,19766.350372410976,19003.16294255688,18256.3003775125,17525.76267727783,16811.549841852873,16113.66187123763,15432.0987654321,14766.860524436284,14117.94714825018,13485.358636873789,12869.094990307112,12269.156208550148,11685.542291602897,11118.253239465359,10567.289052137536,10032.649729619427,9514.33527191103,9012.345679012345,8526.680950923374,8057.341087644117,7604.326089174573,7167.635955514742,6747.270686664628,6343.230282624223,5955.514743393533,5584.1240689725555,5229.058259361291,4890.317314559739,4567.901234567902,4261.810019385778,3972.0436690133665,3698.6021834506687,3441.485562697684,3200.693806754413,2976.2269156208554,2768.0848892970107,2576.2677277828793,2400.775431078461,2241.607999183757,2098.7654320987654,1972.2477298234871,1862.0548923579227,1768.1869197020712,1690.6438118559329,1629.425568819508,1584.5321905927967,1555.9636771757987,1543.7200285685135,1547.801244770942,1568.2073257830834,1604.9382716049386,1657.9940822365068,1727.3747576777885,1813.0802979287835,1915.1107029894915,2033.465972859913,2168.146107540048,2319.151107029896,2486.480971329457,2670.135700438729,2870.1152943577176,3086.4197530864185,3319.0490766248327,3568.0032649729606,3833.2823181308013,4114.886236098356,4412.8150188756235,4727.068666462605,5057.647178859299,5404.550556065707,5767.778798081827,6147.331904907662,6543.209876543209,6955.412712988469,7383.940414243444,7828.792980308131,8289.97041118253,8767.472706866645,9261.299867360472,9771.451892664012,10297.928782777268,10840.730537700234,11399.857157432914,11975.308641975309],[33573.104785225994,32556.881950821342,31556.9839812264,30573.410876441176,29606.162636465662,28655.239261299863,27720.640750943778,26802.367105397403,25900.418324660743,25014.794408733796,24145.495357616564,23292.521171309043,22455.87184981124,21635.547393123146,20831.547801244767,20043.873074176103,19272.52321191715,18517.49821446791,17778.798081828383,17056.42281399857,16350.372410978473,15660.646872768086,14987.246199367413,14330.170390776453,13689.419446995205,13064.993368023672,12456.89215386185,11865.115804509744,11289.664319967349,10730.537700234669,10187.735945311702,9661.259055198449,9151.107029894909,8657.27986940108,8179.777573716966,7718.600142842566,7273.747576777879,6845.219875522905,6433.017039077647,6037.139067442099,5657.585960616265,5294.357718600144,4947.454341393736,4616.875828997042,4302.622181410061,4004.693398632793,3723.0894806652386,3457.8104275073974,3208.8562391592695,2976.2269156208554,2759.922456892154,2559.942862973166,2376.2881338638913,2208.9582695643303,2057.953270074482,1923.2731353943473,1804.917865523926,1702.887460463218,1617.181920212223,1547.8012447709416,1494.7454341393736,1458.0144883175185,1437.608407305377,1433.5271911029486,1445.7708397102338,1474.3393531272322,1519.2327313539438,1580.4509743903686,1657.994082236507,1751.8620548923586,1862.0548923579233,1988.5725946332016,2131.4151617181933,2290.5825936128977,2466.0748903173157,2657.8920518314444,2866.034078155289,3090.5009692888466,3331.292725232118,3588.409345985102,3861.8508315477998,4151.617181920211,4457.708397102335,4780.124477094172,5118.865421895724,5473.931231506987,5845.321905927965,6233.037445158656,6637.07784919906,7057.443118049177,7494.133251709009,7947.148250178552,8416.48811345781,8902.15284154678,9404.142434445464,9922.456892153861,10457.096214671972,11008.060401999795,11575.349454137333,12158.963371084583],[32956.84113865932,31948.78073665952,30957.045199469438,29981.634527089067,29022.54871951841,28079.78777675747,27153.35169880624,26243.240485664723,25349.45413733292,24471.99265381083,23610.85603509845,22766.04428119579,21937.557392102844,21125.39536781961,20329.558208346083,19550.045913682276,18786.85848382818,18039.995918783792,17309.458218549127,16595.245383124173,15897.357412508929,15215.7943067034,14550.556065707582,13901.642689521479,13269.054178145088,12652.79053157841,12052.851749821446,11469.237832874196,10901.948780736659,10350.984593408835,9816.345270890724,9298.030813182328,8796.041220283643,8310.376492194673,7841.036628915415,7388.021630445872,6951.3314967860415,6530.966227935924,6126.925823895523,5739.210284664831,5367.819610243853,5012.753800632589,4674.012855831039,4351.596775839201,4045.5055606570763,3755.739210284665,3482.2977247219674,3225.181103968983,2984.389348025712,2759.922456892154,2551.7804305683094,2359.963269054178,2184.4709723497604,2025.3035404550556,1882.460973370064,1755.943271094786,1645.7504336292213,1551.88246097337,1474.3393531272318,1413.121110090807,1368.2277318640954,1339.6592184470974,1327.4155698398122,1331.4967860422405,1351.9028670543823,1388.6338128762372,1441.6896235078057,1511.0702989490871,1596.7758392000821,1698.8062442607904,1817.1615141312118,1951.8416488113467,2102.846648301195,2270.1765126007563,2453.8312417100306,2653.810835629016,2870.115294357717,3102.744617896132,3351.6988062442592,3616.9778594021004,3898.5817773696544,4196.510560146922,4510.764207733902,4841.342720130598,5188.246097337005,5551.474339353126,5931.0274461789595,6326.905417814508,6739.108254259769,7167.635955514742,7612.48852157943,8073.66595245383,8551.168248137943,9044.99540863177,9555.147433935312,10081.624324048566,10624.426078971534,11183.552698704214,11759.004183246607,12350.780532598714],[32348.739924497495,31348.841954902557,30365.26885011733,29398.02061014182,28447.09723497602,27512.49872461993,26594.225079073556,25692.2762983369,24806.652382409953,23937.353331292717,23084.3791449852,22247.729823487396,21427.405366799303,20623.405774920924,19835.731047852256,19064.3811855933,18309.356188144062,17570.656055504536,16848.280787674725,16142.230384654627,15452.504846444243,14779.104173043568,14122.028364452608,13481.277420671362,12856.851341699827,12248.750127538005,11656.973778185898,11081.522293643506,10522.395673910825,9979.593918987857,9453.117028874603,8942.965003571064,8449.137843077235,7971.635547393122,7510.458116518721,7065.6055504540345,6637.07784919906,6224.875012753799,5828.997041118255,5449.44393429242,5086.215692276299,4739.312315069892,4408.733802673198,4094.480155086216,3796.5513723089484,3514.947454341394,3249.6684011835528,3000.7142128354253,2768.0848892970107,2551.7804305683094,2351.8008366493214,2168.146107540047,2000.8162432404856,1849.8112437506375,1715.1311090705028,1596.7758392000815,1494.7454341393732,1409.0398938883786,1339.6592184470971,1286.603407815529,1249.872461993674,1229.4663809815324,1225.3851647791041,1237.628813386389,1266.1973268033876,1311.0907050300993,1372.3089480665242,1449.8520559126623,1543.720028568514,1653.912866034079,1780.4305683093569,1923.2731353943484,2082.4405672890534,2257.932863993471,2449.7500255076025,2657.892051831444,2882.3589429650024,3123.150698908273,3380.2673196612577,3653.708805223955,3943.4751555963658,4249.56637077849,4571.982450770328,4910.723395571878,5265.789205183143,5637.17987960412,6024.895418834812,6428.935822875216,6849.301091725333,7285.9912253851635,7739.006223854708,8208.346087133965,8694.010815222935,9196.00040812162,9714.314865830016,10248.954188348127,10799.918375675952,11367.207427813488,11950.821344760738,12550.760126517702],[31748.801142740533,30757.065605550448,29781.65493317008,28822.569125599424,27879.808182838482,26953.37210488725,26043.260891745733,25149.474543413933,24272.01305989184,23410.876441179465,22566.064687276805,21737.577798183855,20925.41577390062,20129.578614427097,19350.066319763286,18586.87888990919,17840.016324864806,17109.478624630137,16395.265789205183,15697.377818589941,15015.814712784411,14350.576471788594,13701.663095602491,13069.074584226099,12452.810937659422,11852.872155902458,11269.258238955208,10701.969186817672,10151.004999489847,9616.365676971736,9098.05121926334,8596.061626364655,8110.396898275685,7641.057034996427,7188.042036526884,6751.3519028670535,6330.986634016936,5926.946229976531,5539.230690745843,5167.840016324865,4812.774206713601,4474.033261912051,4151.617181920213,3845.5259667380883,3555.759616365677,3282.3181308029793,3025.2015100499952,2784.409754106724,2559.942862973166,2351.8008366493214,2159.9836751351904,1984.4913784307723,1825.3239465360675,1682.4813794510762,1555.9636771757982,1445.7708397102333,1351.9028670543819,1274.359759208244,1213.141516171819,1168.2481379451074,1139.6796245281093,1127.4359759208244,1131.5171921232527,1151.923273135394,1188.6542189572494,1241.7100295888176,1311.0907050300993,1396.7962452810941,1498.8266503418024,1617.181920212224,1751.8620548923586,1902.867054382207,2070.1969186817682,2253.851647791043,2453.831241710031,2670.135700438729,2902.7650239771438,3151.7192123252717,3416.9982654831124,3698.6021834506664,3996.530966227934,4310.784613814915,4641.363126211609,4988.266503418017,5351.494745434138,5731.047852259972,6126.92582389552,6539.128660340781,6967.656361595755,7412.508927660441,7873.686358534843,8351.188654218957,8845.015814712784,9355.167840016324,9881.644730129578,10424.446485052546,10983.573104785226,11559.024589327619,12150.800938679726,12758.902152841547],[31157.024793388424,30173.4516886032,29206.203448627686,28255.280073461887,27320.681563105798,26402.407917559427,25500.45913682277,24614.83522089582,23745.53616977859,22892.56198347107,22055.912661973263,21235.588205285174,20431.58861340679,19643.913886338127,18872.564024079173,18117.539026629933,17378.838893990407,16656.463626160592,15950.413223140496,15260.68768493011,14587.287011529437,13930.211202938477,13289.46025915723,12665.034180185696,12056.932966023875,11465.156616671768,10889.705132129375,10330.578512396694,9787.776757473726,9261.299867360472,8751.147842056931,8257.320681563106,7779.818385878991,7318.64095500459,6873.788388939903,6445.260687684929,6033.057851239668,5637.17987960412,5257.626772778289,4894.398530762168,4547.49515355576,4216.916641159066,3902.662993572085,3604.734210794817,3323.1302928272626,3057.851239669422,2808.897051321294,2576.2677277828793,2359.963269054178,2159.9836751351904,1976.3289460259157,1808.9990817263542,1657.9940822365063,1523.3139475563717,1404.95867768595,1302.928272625242,1217.2227323742472,1147.8420569329658,1094.7862463013976,1058.055300479543,1037.649219467401,1033.568003264973,1045.8116518722577,1074.380165289256,1119.273543515968,1180.491786552393,1258.0348943985312,1351.9028670543826,1462.0957045199475,1588.6134067952257,1731.4559738802172,1890.623405774922,2066.11570247934,2257.9328639934715,2466.0748903173157,2690.5417814508705,2931.3335373941422,3188.4501581471263,3461.891643709824,3751.657994082235,4057.749209264359,4380.165289256196,4718.9062340577475,5073.972043669011,5445.362718089989,5833.078257320681,6237.118661361084,6657.483930211202,7094.174063871033,7547.189062340576,8016.528925619834,8502.193653708804,9004.183246607488,9522.497704315885,10057.137026833996,10608.10121416182,11175.390266299357,11759.004183246607,12358.94296500357,12975.206611570247],[30573.410876441176,29598.000204060805,28638.91439649015,27696.153453729206,26769.717375777975,25859.60616263646,24965.819814304654,24088.35833078257,23227.221712070193,22382.409958167533,21553.923069074583,20741.761044791347,19945.92388531782,19166.41159065401,18403.224160799917,17656.36159575553,16925.82389552086,16211.611060095904,15513.723089480665,14832.159983675136,14166.92174267932,13518.008366493215,12885.419855116825,12269.156208550146,11669.217426793184,11085.603509845934,10518.314457708397,9967.350270380573,9432.710947862462,8914.396490154064,8412.406897255381,7926.742169166411,7457.4023058871535,7004.38730741761,6567.697173757778,6147.331904907661,5743.291500867257,5355.575961636566,4984.185287215591,4629.119477604327,4290.378532802776,3967.962452810938,3661.8712376288136,3372.1048872564024,3098.663401693705,2841.5467809407205,2600.7550249974493,2376.2881338638913,2168.146107540047,1976.3289460259157,1800.8366493214976,1641.669217426793,1498.8266503418017,1372.3089480665235,1262.1161106009588,1168.2481379451074,1090.7050300989692,1029.4867870625444,984.5934088358329,956.0248954188346,943.7812468115497,947.8624630139782,968.2685440261196,1004.9994898479745,1058.0553004795431,1127.4359759208246,1213.1415161718196,1315.1719212325277,1433.5271911029492,1568.2073257830843,1719.2123252729323,1886.5421895724937,2070.1969186817687,2270.1765126007563,2486.4809713294576,2719.110294867869,2968.064483215997,3233.343536373838,3514.947454341392,3812.8762371186594,4127.1298847056405,4457.708397102335,4804.611774308742,5167.840016324863,5547.393123150698,5943.271094786245,6355.473931231506,6784.00163248648,7228.854198551167,7690.031629425567,8167.533925109682,8661.361085603508,9171.51311090705,9697.990001020304,10240.79175594327,10799.91837567595,11375.369860218345,11967.146209570452,12575.247423732271,13199.673502703805],[29997.95939189878,29030.711151923268,28079.78777675747,27145.189266401383,26226.915620855012,25324.966840118348,24439.342924191405,23570.043873074173,22717.069686766656,21880.42036526885,21060.095908580755,20256.096316702373,19468.42158963371,18697.071727374754,17942.046729925514,17203.346597285985,16480.971329456173,15774.920926436072,15085.195388225691,14411.794714825019,13754.718906234059,13113.96796245281,12489.541883481277,11881.440669319458,11289.66431996735,10714.212835424956,10155.086215692276,9612.284460769308,9085.807570656054,8575.655545352514,8081.828384858687,7604.326089174574,7143.148658300172,6698.296092235485,6269.76839098051,5857.56555453525,5461.687582899703,5082.134476073868,4718.90623405775,4372.002856851343,4041.4243444546482,3727.1706968676667,3429.241914090399,3147.637996122845,2882.3589429650037,2633.404754616876,2400.775431078461,2184.4709723497604,1984.4913784307723,1800.8366493214976,1633.5067850219364,1482.5017855320884,1347.8216508519536,1229.4663809815322,1127.4359759208241,1041.7304356698294,972.3497602285479,919.2939495969797,882.5630037751248,862.1569227629832,858.075706560555,870.3193551678401,898.8878685848381,943.7812468115496,1004.9994898479749,1082.5425976941133,1176.4105703499647,1286.6034078155294,1413.1211100908079,1555.9636771757994,1715.131109070504,1890.623405774922,2082.4405672890534,2290.582593612898,2515.049484746456,2755.8412406897237,3012.9578614427082,3286.399347005406,3576.165697377817,3882.256912559941,4204.672992551778,4543.413937353329,4898.479746964594,5269.870421385572,5657.585960616262,6061.626364656667,6481.991633506784,6918.681767166615,7371.6967656361585,7841.036628915415,8326.701357004387,8828.69094990307,9347.005407611467,9881.644730129578,10432.6089174574,10999.897969594938,11583.51188654219,12183.450668299152,12799.714314865829,13432.30282624222],[29430.670339761244,28471.584532190587,27528.823589429645,26602.387511478417,25692.276298336896,24798.489950005096,23921.02846648301,23059.891847770632,22215.080093867968,21386.59320477502,20574.43118049178,19778.59402101826,18999.081726354452,18235.894296500355,17489.03173145597,16758.4940312213,16044.281195796342,15346.393225181098,14664.830119375574,13999.591878379757,13350.678502193654,12718.089990817263,12101.826344250587,11501.887562493623,10918.273645546373,10350.984593408835,9800.02040608101,9265.381083562901,8747.066625854504,8245.07703295582,7759.41230486685,7290.072441587593,6837.057443118048,6400.367309458217,5980.002040608099,5575.961636567696,5188.246097337005,4816.855422916027,4461.789613304765,4123.048668503215,3800.6325885113765,3494.541373329252,3204.7750229568414,2931.3335373941436,2674.216916641159,2433.425160697888,2208.9582695643303,2000.8162432404856,1808.9990817263542,1633.5067850219364,1474.3393531272318,1331.4967860422403,1204.9790837669623,1094.7862463013976,1000.918273645546,923.3751657994079,862.1569227629832,817.2635445362715,788.6950311192734,776.4513825119884,780.5325987144168,800.9386797265586,837.6696255484133,890.7254361799813,960.1061116212634,1045.8116518722584,1147.8420569329664,1266.197326803388,1400.877461483523,1551.882460973371,1719.2123252729323,1902.8670543822072,2102.8466483011953,2319.1511070298966,2551.7804305683107,2800.7346189164355,3066.0136720742767,3347.617590041831,3645.5463728190985,3959.800020406079,4290.378532802773,4637.281910009181,5000.510152025302,5380.063258851136,5775.941230486684,6188.1440669319445,6616.671768186919,7061.524334251606,7522.701765126007,8000.20406081012,8494.031221303947,9004.183246607488,9530.660136720742,10073.461891643708,10632.588511376389,11208.039995918783,11799.81634527089,12407.91755943271,13032.343638404243,13673.094582185491],[28871.54372002857,27920.62034486277,26986.021834506686,26067.74818896031,25165.799408223655,24280.175492296705,23410.876441179473,22557.90225487195,21721.252933374148,20900.928476686055,20096.928884807672,19309.254157739007,18537.904295480053,17782.879298030814,17044.179165391288,16321.803897561473,15615.753494541372,14926.027956330985,14252.627282930313,13595.551474339352,12954.800530558106,12330.374451586573,11722.273237424753,11130.496888072645,10555.045403530252,9995.91878379757,9453.117028874603,8926.64013876135,8416.48811345781,7922.660952963983,7445.158657279869,6983.981226405471,6539.12866034078,6110.600959085807,5698.398122640545,5302.520151004998,4922.967044179164,4559.738802163044,4212.835424956638,3882.2569125599443,3568.003264972963,3270.074482195695,2988.4705642281406,2723.1915110703,2474.237322722172,2241.6079991837573,2025.3035404550562,1825.3239465360682,1641.6692174267937,1474.3393531272322,1323.3343536373843,1188.6542189572494,1070.298949086828,968.2685440261199,882.563003775125,813.1823283338435,760.1265177022754,723.3955718804204,702.9894908682788,698.9082746658505,711.1519232731356,739.720436690134,784.6138149168451,845.8320579532699,923.3751657994087,1017.2431384552601,1127.435975920825,1253.953678196103,1396.7962452810946,1555.9636771757994,1731.4559738802172,1923.2731353943486,2131.4151617181933,2355.8820528517513,2596.6738087950225,2853.7904295480034,3127.2319151107013,3416.998265483112,3723.0894806652364,4045.5055606570736,4384.246505458625,4739.312315069888,5110.702989490866,5498.418528721557,5902.4589327619615,6322.8242016120785,6759.51433527191,7212.529333741453,7681.869197020711,8167.533925109681,8669.523518008365,9187.837975716762,9722.477298234873,10273.441485562696,10840.730537700234,11424.344454647484,12024.283236404448,12640.546882971124,13273.135394347515,13922.048770533618],[28320.57953270074,27377.818589939798,26451.382511988566,25541.271298847052,24647.484950515252,23770.02346699316,22908.886848280785,22064.07509437812,21235.588205285174,20423.426181001934,19627.589021528413,18848.0767268646,18084.889297010504,17338.02673196612,16607.489031731453,15893.276196306495,15195.388225691251,14513.825119885722,13848.586878889908,13199.673502703805,12567.084991327416,11950.82134476074,11350.882563003775,10767.268646056524,10199.979593918986,9649.015406591163,9114.376084073054,8596.061626364655,8094.072033465972,7608.407305377002,7139.067442097744,6686.0524436282,6249.362309968369,5828.997041118251,5424.9566370778475,5037.241097847157,4665.850423426179,4310.784613814915,3972.0436690133665,3649.627589021529,3343.5363738394044,3053.7700234669933,2780.3285379042954,2523.211917151311,2282.42016120804,2057.953270074482,1849.8112437506375,1657.9940822365063,1482.5017855320884,1323.3343536373836,1180.4917865523923,1053.9740842771143,943.7812468115495,849.9132741556981,772.37016630956,711.151923273135,666.2585450464236,637.6900316294253,625.4463830221405,629.5275992245688,649.9336802367105,686.6646260585655,739.7204366901334,809.1011121314148,894.8066523824103,996.8370574431185,1115.19232731354,1249.8724619936747,1400.877461483523,1568.2073257830846,1751.862054892359,1951.841648811347,2168.1461075400484,2400.775431078463,2649.729619426591,2915.0086725844285,3196.612590551983,3494.5413733292507,3808.7950209162314,4139.373533312925,4486.276910519333,4849.505152535454,5229.058259361288,5624.936230996836,6037.139067442096,6465.66676869707,6910.519334761758,7371.6967656361585,7849.199061320272,8343.0262218141,8853.178247117641,9379.655137230893,9922.456892153861,10481.583511886542,11057.034996428934,11648.811345781043,12256.912559942863,12881.338638914396,13522.089582695644,14179.165391286604],[27777.777777777774,26843.179267421685,25924.905621875314,25022.956841138657,24137.33292521171,23268.03387409448,22415.059687786958,21578.41036628915,20758.085909601057,19954.08631772268,19166.41159065401,18395.061728395056,17640.03673094582,16901.33659830629,16178.961330476479,15472.910927456378,14783.185389245991,14109.784715845319,13452.70890725436,12811.957963473114,12187.531884501583,11579.430670339761,10987.654320987655,10412.20283644526,9853.07621671258,9310.274461789613,8783.797571676358,8273.645546372818,7779.818385878991,7302.316090194877,6841.138659320476,6396.28609325579,5967.758392000815,5555.555555555555,5159.677583920006,4780.124477094172,4416.896235078051,4069.9928578716444,3739.414345474952,3425.1606978879713,3127.231915110703,2845.6279971431486,2580.3489439853074,2331.39475563718,2098.7654320987654,1882.460973370064,1682.4813794510762,1498.8266503418017,1331.4967860422403,1180.4917865523923,1045.8116518722577,927.4563820018362,825.4259769411282,739.7204366901334,670.3397612488518,617.2839506172836,580.5530047954288,560.1469237832872,556.065707580859,568.309356188144,596.8778696051423,641.771247831854,702.9894908682784,780.5325987144165,874.4005713702687,984.5934088358337,1111.1111111111118,1253.953678196103,1413.121110090808,1588.6134067952262,1780.4305683093573,1988.5725946332022,2213.03948576676,2453.8312417100315,2710.9478624630156,2984.3893480257098,3274.155698398121,3580.2469135802453,3902.662993572083,4241.4039383736335,4596.469747984897,4967.860422405875,5355.575961636566,5759.61636567697,6179.981634527087,6616.671768186919,7069.686766656462,7539.02662993572,8024.691358024691,8526.680950923374,9044.995408631772,9579.634731149881,10130.598918477706,10697.887970615244,11281.501887562492,11881.440669319458,12497.704315886134,13130.292827262525,13779.206203448628,14444.444444444445],[27243.13845525966,26316.702377308433,25406.59116416692,24512.804815835116,23635.343332313027,22774.20671360065,21929.394959697987,21100.908070605037,20288.7460463218,19492.90888684828,18713.396592184465,17950.20916233037,17203.34659728599,16472.808897051316,15758.596061626362,15060.708091011118,14379.144985205588,13713.90674420977,13064.99336802367,12432.404856647281,11816.141210080605,11216.20242832364,10632.588511376389,10065.299459238853,9514.33527191103,8979.695949392917,8461.381491684522,7959.391898785838,7473.727170696866,7004.387307417609,6551.372308948065,6114.682175288235,5694.316906438117,5290.276502397714,4902.560963167022,4531.170288746044,4176.10447913478,3837.36353433323,3514.9474543413944,3208.85623915927,2919.089888786859,2645.6484032241606,2388.5317824711765,2147.7400265279052,1923.2731353943473,1715.1311090705028,1523.3139475563717,1347.8216508519536,1188.654218957249,1045.8116518722577,919.2939495969796,809.1011121314149,715.2331394755635,637.6900316294252,576.4717885930004,531.5784103662888,503.0098969492907,490.7662483420057,494.8474645444341,515.2535455565758,551.9844913784308,605.0403020099991,674.4209774512801,760.1265177022749,862.1569227629839,980.5121926334053,1115.19232731354,1266.1973268033883,1433.5271911029497,1617.1819202122244,1817.1615141312125,2033.4659728599138,2266.0952963983286,2515.049484746456,2780.3285379042973,3061.932455871848,3359.861238649116,3674.114886236097,4004.693398632791,4351.596775839198,4714.825017855319,5094.378124681153,5490.256096316701,5902.4589327619615,6330.986634016936,6775.839200081623,7237.016630956024,7714.518926640138,8208.346087133965,8718.498112437504,9244.97500255076,9787.776757473726,10346.903377206407,10922.354861748801,11514.131211100907,12122.232425262728,12746.658504234263,13387.409448015509,14044.48525660647,14717.885930007142],[26716.66156514641,25798.387919600038,24896.43913886338,24010.815222936435,23141.5161718192,22288.541985511678,21451.892664013874,20631.56820732578,19827.568615447402,19039.893888378734,18268.54402611978,17513.51902867054,16774.818896031014,16052.4436282012,15346.393225181102,14656.667686970713,13983.26701357004,13326.19120497908,12685.440261197837,12061.014182226303,11452.912968064484,10861.136618712375,10285.685134169982,9726.558514437302,9183.756759514334,8657.279869401082,8147.12784409754,7653.300683603713,7175.798387919598,6714.620957045198,6269.768390980511,5841.240689725538,5429.037853280276,5033.159881644729,4653.606774818894,4290.378532802773,3943.4751555963658,3612.8966431996714,3298.642995612693,3000.7142128354253,2719.110294867871,2453.8312417100296,2204.8770533619017,1972.2477298234871,1755.943271094786,1555.9636771757982,1372.3089480665235,1204.9790837669623,1053.9740842771143,919.2939495969796,800.9386797265582,698.9082746658502,613.2027344148553,543.8220589735738,490.7662483420056,454.03530252015076,433.6292215080092,429.5480053055809,441.7916539128659,470.3601673298642,515.253545556576,576.471788593001,654.0148964391385,747.8828690949899,858.0757065605555,984.5934088358338,1127.4359759208253,1286.6034078155299,1462.095704519948,1653.9128660340796,1862.054892357924,2086.521783491482,2327.3135394347537,2584.430160187738,2857.8716457504356,3147.6379961228427,3453.729211304967,3776.1452912968048,4114.886236098356,4469.95204570962,4841.342720130597,5229.058259361288,5633.098663401692,6053.46393225181,6490.15406591164,6943.169064381184,7412.508927660441,7898.173655749413,8400.163248648096,8918.477706356492,9453.117028874603,10004.081216202427,10571.370268339964,11154.984185287216,11754.922967044178,12371.186613610857,13003.775124987247,13652.68850117335,14317.926742169166,14999.489847974697],[26198.347107438014,25288.2358942965,24394.449545964693,23516.988062442608,22655.85144373023,21811.039689827565,20982.552800734615,20170.39077645138,19374.553616977857,18595.041322314046,17831.85389245995,17084.991327415566,16354.453627180897,15640.24079175594,14942.352821140696,14260.789715335166,13595.55147433935,12946.638098153246,12314.049586776859,11697.785940210182,11097.847158453218,10514.233241505968,9946.94418936843,9395.980002040607,8861.340679522498,8343.0262218141,7841.036628915415,7355.371900826445,6886.032037547187,6433.017039077644,5996.326905417814,5575.961636567697,5171.921232527291,4784.205693296601,4412.8150188756235,4057.7492092643593,3719.0082644628083,3396.592184470971,3090.5009692888484,2800.7346189164373,2527.29313335374,2270.176512600755,2029.3847566574839,1804.917865523926,1596.7758392000815,1404.95867768595,1229.4663809815322,1070.2989490868276,927.4563820018362,800.9386797265582,690.7458422609935,596.877869605142,519.3347617590039,458.11651872257903,413.2231404958675,384.6546270788693,372.4109784715844,376.4921946740127,396.8982756861544,433.6292215080094,486.68503213957774,556.0657075808593,641.7712478318535,743.8016528925616,862.156922762984,996.8370574431187,1147.842056932967,1315.1719212325281,1498.826650341803,1698.8062442607911,1915.1107029894924,2147.740026527907,2396.694214876035,2661.973268033876,2943.5771860014306,3241.5059687786943,3555.7596163656754,3886.3381287623697,4233.241505968777,4596.469747984898,4976.022854810732,5371.900826446279,5784.10366289154,6212.631364146514,6657.483930211201,7118.661361085602,7596.163656769717,8089.990817263544,8600.142842567084,9126.619732680338,9669.421487603306,10228.548107335984,10803.999591878379,11395.775941230486,12003.877155392307,12628.30323436384,13269.054178145088,13926.129986736047,14599.530660136721,15289.25619834711],[25688.195082134473,24786.246301397812,23900.622385470866,23031.323334353634,22178.349148046116,21341.69982654831,20521.375369860216,19717.375777981833,18929.70105091317,18158.351188654215,17403.326191204975,16664.62605856545,15942.250790735638,15236.200387715537,14546.47484950515,13873.074176104476,13215.998367513515,12575.247423732268,11950.821344760738,11342.720130598918,10750.943781246811,10175.492296704417,9616.365676971736,9073.56392204877,8547.087031935516,8036.935006631975,7543.107846138148,7065.6055504540345,6604.428119579633,6159.5755535149465,5731.047852259972,5318.8450158147125,4922.967044179164,4543.41393735333,4180.185695337209,3833.2823181308013,3502.703805734107,3188.450158147126,2890.5213753698604,2608.9174574023064,2343.638404244465,2094.684215896337,1862.0548923579227,1645.7504336292213,1445.7708397102333,1262.1161106009588,1094.7862463013976,943.7812468115495,809.1011121314149,690.7458422609935,588.7154372002854,503.0098969492905,433.62922150800904,380.5734108764409,343.842465054586,323.43638404244444,319.3551678400162,331.5988164473012,360.1673298642995,405.0607080910112,466.27895112743613,543.8220589735745,637.6900316294252,747.8828690949899,874.400571370269,1017.2431384552605,1176.4105703499652,1351.9028670543833,1543.7200285685146,1751.8620548923595,1976.3289460259173,2217.1207019691888,2474.2373227221733,2747.678808284871,3037.4451586572823,3343.536373839402,3665.9524538312403,4004.693398632791,4359.759208244055,4731.149882665032,5118.865421895724,5522.905825936127,5943.271094786244,6379.961228446075,6832.97622691562,7302.316090194878,7787.980818283848,8289.970411182532,8808.284868890929,9342.924191409038,9893.888378736863,10461.177430874399,11044.79134782165,11644.730129578615,12260.993776145291,12893.582287521682,13542.495663707785,14207.733904703602,14889.297010509134,15587.184981124377],[25186.205489235792,24292.419140903992,23414.9576573819,22553.821038669525,21709.00928476686,20880.52239567391,20068.360371390674,19272.523211917152,18493.01091725334,17729.823487399244,16982.96092235486,16252.423222120191,15538.210386695235,14840.322416079991,14158.759310274461,13493.521069278644,12844.607693092541,12212.01918171615,11595.755535149474,10995.816753392513,10412.202836445264,9844.913784307726,9293.9495969799,8759.31027446179,8240.995816753395,7739.00622385471,7253.341495765739,6784.001632486481,6330.986634016937,5894.296500357107,5473.931231506989,5069.890827466586,4682.175288235894,4310.784613814916,3955.718804203653,3616.977859402102,3294.5617794102636,2988.4705642281397,2698.704213855731,2425.2627282930325,2168.1461075400484,1927.354351596777,1702.887460463219,1494.7454341393743,1302.928272625243,1127.435975920825,968.2685440261204,825.425976941129,698.9082746658509,588.715437200286,494.8474645444345,417.3043566982963,356.0861136618714,311.1927354351599,282.62422201816156,270.3805734108766,274.4617896133049,294.8678706254466,331.5988164473015,384.6546270788697,454.0353025201513,539.7408427711462,641.7712478318535,760.1265177022748,894.8066523824104,1045.8116518722586,1213.1415161718198,1396.7962452810943,1596.7758392000826,1813.080297928784,2045.7096214671983,2294.663809815326,2559.9428629731674,2841.546780940722,3139.4755637179896,3453.729211304966,3784.3077237016605,4131.211100908068,4494.439342924189,4873.992449750023,5269.87042138557,5682.073257830831,6110.600959085805,6555.453525150492,7016.630956024893,7494.133251709007,7987.960412202834,8498.112437506375,9024.58932761963,9567.391082542596,10126.517702275276,10701.969186817669,11293.745536169776,11901.846750331597,12526.27282930313,13167.023773084376,13824.099581675338,14497.500255076011,15187.225793286398,15893.276196306499],[24692.378328741965,23806.75441281502,22937.455361697786,22084.48117539027,21247.831853892458,20427.50739720437,19623.507805325986,18835.83307825732,18064.483215998367,17309.458218549127,16570.758085909598,15848.382818079786,15142.332415059685,14452.606876849299,13779.206203448626,13122.130394857666,12481.37945107642,11856.953372104885,11248.852157943065,10657.075808590962,10081.62432404857,9522.497704315887,8979.69594939292,8453.219059279667,7943.067033976126,7449.239873482298,6971.737577798184,6510.5601469237845,6065.707580859096,5637.179879604122,5224.977043158861,4829.099071523316,4449.54596469748,4086.317722681359,3739.4143454749515,3408.835833078257,3094.5821854912756,2796.6534027140087,2515.049484746456,2249.770431588615,2000.8162432404868,1768.1869197020721,1551.882460973371,1351.9028670543828,1168.2481379451083,1000.918273645547,849.9132741556989,715.2331394755641,596.8778696051427,494.8474645444345,409.1419242934397,339.76124885215813,286.7054382205899,249.97449239873498,229.5684113865933,225.487195184165,237.73084379144998,266.29935720844827,311.1927354351598,372.4109784715847,449.95408631772295,543.8220589735745,654.0148964391384,780.5325987144164,923.3751657994087,1082.5425976941135,1258.0348943985314,1449.8520559126628,1657.9940822365074,1882.4609733700654,2123.2527293133367,2380.369350066321,2653.810835629019,2943.57718600143,3249.668401183554,3572.0844811753877,3910.8254259769387,4265.891235588203,4637.28191000918,5024.997449239871,5429.037853280275,5849.403122130392,6286.093255790222,6739.108254259767,7208.448117539024,7694.112845627995,8196.10243852668,8714.416896235076,9249.056218753187,9800.02040608101,10367.309458218548,10950.923375165798,11550.862156922762,12167.125803489438,12799.714314865829,13448.627691051932,14113.865932047749,14795.429037853279,15493.317008468523,16207.52984389348],[24206.713600652998,23329.252117130905,22468.115498418527,21623.303744515866,20794.816855422916,19982.65483113968,19186.817671666155,18407.305377002347,17644.11794714825,16897.255382103867,16166.717681869195,15452.504846444239,14754.616875828997,14073.053770023467,13407.815529027648,12758.902152841545,12126.313641465154,11510.049994898476,10910.111213141514,10326.497296194268,9759.20824405673,9208.244056728907,8673.604734210796,8155.290276502399,7653.300683603715,7167.635955514744,6698.296092235487,6245.281093765943,5808.590960106112,5388.225691255994,4984.1852872155905,4596.469747984901,4225.079073563922,3870.013263952658,3531.272319151107,3208.856239159269,2902.7650239771447,2612.998673604734,2339.557188042038,2082.4405672890534,1841.648811345782,1617.1819202122242,1409.0398938883795,1217.2227323742482,1041.7304356698303,882.5630037751255,739.7204366901341,613.202734414856,503.00989694929115,409.1419242934397,331.5988164473015,270.3805734108766,225.48719518416502,196.91868176716673,184.67503315988176,188.7562493623101,209.1623303744517,245.89327619630666,298.94908682787485,368.3297622691564,454.0353025201513,556.0657075808595,674.42097745128,809.1011121314145,960.1061116212637,1127.435975920825,1311.0907050300998,1511.0702989490876,1727.374757677789,1960.0040812162038,2208.958269564331,2474.2373227221724,2755.8412406897273,3053.7700234669946,3368.0236710539757,3698.6021834506655,4045.505560657073,4408.733802673194,4788.286909499028,5184.164881134575,5596.367717579836,6024.89541883481,6469.747984899497,6930.925415773898,7408.427711458012,7902.25487195184,8412.40689725538,8938.883787368633,9481.685542291601,10040.81216202428,10616.263646566675,11208.039995918782,11816.141210080601,12440.567289052135,13081.318232833382,13738.394041424343,14411.794714825017,15101.520253035404,15807.570656055505,16529.945923885316],[23729.21130496888,22859.912253851646,22006.938067544128,21170.288746046324,20349.964289358228,19545.96469747985,18758.289970411184,17986.94010815223,17231.91511070299,16493.21497806346,15770.839710233648,15064.789307213548,14375.063769003162,13701.66309560249,13044.587287011527,12403.83634323028,11779.410264258746,11171.309050096927,10579.532700744821,10004.08121620243,9444.95459646975,8902.152841546782,8375.675951433528,7865.523926129988,7371.69676563616,6894.194469952046,6433.017039077646,5988.164473012958,5559.636771757984,5147.433935312723,4751.555963677176,4372.002856851343,4008.7746148352207,3661.871237628813,3331.2927252321188,3017.039077645138,2719.11029486787,2437.5063769003154,2172.2273237424765,1923.2731353943486,1690.643811855934,1474.3393531272327,1274.359759208245,1090.7050300989702,923.3751657994087,772.3701663095607,637.6900316294259,519.3347617590044,417.3043566982963,331.5988164473015,262.21814100601995,209.1623303744517,172.43138455259677,152.02530354045513,147.9440873380268,160.18773594531177,188.7562493623101,233.64962758902166,294.8678706254465,372.4109784715847,466.27895112743624,576.4717885930011,702.9894908682782,845.8320579532694,1004.9994898479753,1180.4917865523933,1372.3089480665246,1580.450974390369,1804.917865523927,2045.7096214671985,2302.826242220183,2576.2677277828807,2866.0340781552923,3172.125293337416,3494.541373329254,3833.2823181308004,4188.348127742065,4559.738802163042,4947.454341393733,5351.494745434136,5771.860014284253,6208.5501479440845,6661.565146413628,7130.905009692886,7616.569737781856,8118.55933068054,8636.873788388937,9171.513110907048,9722.477298234871,10289.766350372409,10873.380267319659,11473.319049076623,12089.5826956433,12722.17120701969,13371.084583205793,14036.32282420161,14717.885930007142,15415.773900622386,16129.98673604734,16860.524436282012],[23259.871441689625,22398.734822977247,21553.923069074583,20725.436179981636,19913.274155698396,19117.436996224875,18337.924701561067,17574.737271706967,16827.874706662584,16097.337006427915,15383.124171002957,14685.236200387715,14003.673094582184,13338.434853586368,12689.521477400263,12056.932966023873,11440.669319457196,10840.730537700232,10257.116620752982,9689.827568615448,9138.863381287625,8604.224058769514,8085.909601061117,7583.920008162433,7098.255280073463,6628.915416794205,6175.900418324662,5739.21028466483,5318.8450158147125,4914.804611774309,4527.089072543618,4155.698398122641,3800.632588511376,3461.891643709825,3139.475563717988,2833.3843485358634,2543.6179981634523,2270.1765126007544,2013.0598918477717,1772.2681359045005,1547.8012447709425,1339.659218447098,1147.8420569329667,972.3497602285487,813.1823283338439,670.3397612488525,543.8220589735744,433.6292215080096,339.76124885215813,262.21814100601995,200.99989796959505,156.10651974288345,127.53800632588519,115.29435771860021,119.37557392102853,139.78165493317016,176.5126007550251,229.56841138659334,298.94908682787485,384.6546270788697,486.68503213957786,605.0403020099993,739.720436690133,890.725436179981,1058.0553004795436,1241.710029588818,1441.6896235078061,1657.9940822365074,1890.623405774922,2139.57759412305,2404.856647280891,2686.4605652484456,2984.3893480257134,3298.6429956126944,3629.2215080093883,3976.1248852157914,4339.353127231912,4718.906234057747,5114.784205693294,5526.987042138555,5955.514743393529,6400.3673094582155,6861.544740332616,7339.047036016731,7832.874196510557,8343.026221814098,8869.503111927352,9412.30486685032,9971.431486583,10546.882971125393,11138.659320477502,11746.760534639321,12371.186613610855,13011.9375573921,13669.01336598306,14342.414039383735,15032.139577594124,15738.189980614221,16460.565248444036,17199.26538108356],[22798.694010815223,21945.7198245077,21109.070503009898,20288.746046321805,19484.746454443426,18697.071727374758,17925.721865115804,17170.696867666564,16431.996735027038,15709.621467197223,15003.571064177124,14313.845525966737,13640.444852566063,12983.369043975103,12342.618100193857,11718.192021222323,11110.090807060502,10518.314457708395,9942.862973166002,9383.736353433325,8840.934598510357,8314.457708397103,7804.305683093562,7310.478522599736,6832.976226915622,6371.798796041221,5926.946229976533,5498.418528721559,5086.215692276298,4690.337720640751,4310.784613814917,3947.556371798797,3600.652994592388,3270.074482195694,2955.820834608713,2657.8920518314453,2376.288133863891,2111.0090807060496,1862.0548923579238,1629.425568819509,1413.1211100908079,1213.1415161718198,1029.4867870625453,862.1569227629839,711.1519232731357,576.4717885930011,458.1165187225796,356.0861136618714,270.3805734108766,200.99989796959505,147.9440873380268,111.21314151617187,90.80706050403026,86.72584430160192,98.9694929088869,127.53800632588518,172.43138455259677,233.64962758902166,311.1927354351598,405.0607080910113,515.2535455565762,641.7712478318543,784.6138149168446,943.7812468115492,1119.2735435159684,1311.0907050300998,1519.2327313539445,1743.6996224875022,1984.4913784307735,2241.6079991837582,2515.049484746456,2804.815835118867,3110.9070503009916,3433.323130292829,3772.0640750943803,4127.12988470564,4498.520559126617,4886.236098357308,5290.276502397712,5710.641771247829,6147.33190490766,6600.3469033772035,7069.686766656461,7555.351494745431,8057.341087644116,8575.655545352512,9110.294867870623,9661.259055198447,10228.548107335984,10812.162024283234,11412.100806040198,12028.364452606875,12660.952963983265,13309.866340169368,13975.104581165186,14656.667686970715,15354.55565758596,16068.768493010917,16799.306193245586,17546.16875828997],[22345.67901234568,21500.867258443017,20672.380369350067,19860.21834506683,19064.38118559331,18284.868890929494,17521.6814610754,16774.818896031014,16044.281195796346,15330.068360371391,14632.180389756146,13950.617283950616,13285.379042954799,12636.465666768694,12003.877155392305,11387.613508825627,10787.674727068665,10204.060810121413,9636.771757983877,9085.807570656058,8551.168248137947,8032.853790429548,7530.864197530866,7045.1994694418945,6575.859606162638,6122.844607693092,5686.154474033262,5265.789205183144,4861.74880114274,4474.03326191205,4102.642587491072,3747.576777879809,3408.835833078257,3086.4197530864194,2780.328537904295,2490.562187531884,2217.1207019691865,1960.0040812162017,1719.2123252729323,1494.7454341393745,1286.6034078155299,1094.7862463013985,919.2939495969804,760.1265177022757,617.2839506172843,490.7662483420062,380.5734108764414,286.7054382205899,209.1623303744517,147.9440873380268,103.05070911131523,74.48219569431694,62.23854708703197,66.3197632894603,86.72584430160192,123.45679012345686,176.5126007550251,245.89327619630666,331.5988164473015,433.6292215080096,551.9844913784311,686.6646260585659,837.6696255484128,1004.999489847974,1188.65421895725,1388.633812876238,1604.9382716049392,1837.5675951433536,2086.5217834914815,2351.800836649323,2633.404754616877,2931.3335373941454,3245.5871849811265,3576.165697377821,3923.069074584228,4286.297316600344,4665.850423426178,5061.728395061726,5473.9312315069865,5902.45893276196,6347.311498826648,6808.488929701049,7285.991225385162,7779.818385878989,8289.97041118253,8816.447301295784,9359.24905621875,9918.375675951433,10493.827160493825,11085.603509845932,11693.704724007752,12318.130802979285,12958.881746760533,13615.957555351493,14289.358228752168,14979.083766962554,15685.134169982655,16407.509437812467,17146.209570451992,17901.234567901236],[21900.826446280993,21064.177124783186,20243.852668095093,19439.853076216714,18652.178349148046,17880.82848688909,17125.80348943985,16387.103356800326,15664.728088970513,14958.677685950413,14268.952147740025,13595.55147433935,12938.475665748392,12297.724721967144,11673.29864299561,11065.197428833791,10473.421079481683,9897.969594939288,9338.84297520661,8796.041220283645,8269.564330170391,7759.412304866852,7265.585144373024,6788.0828486889095,6326.905417814509,5882.0528517498215,5453.525150494847,5041.322314049587,4645.444342414039,4265.891235588205,3902.662993572084,3555.759616365678,3225.1811039689824,2910.9274563820013,2612.9986736047335,2331.3947556371795,2066.1157024793383,1817.1615141312104,1584.5321905927976,1368.2277318640963,1168.2481379451083,984.5934088358335,817.2635445362722,666.2585450464242,531.5784103662894,413.223140495868,311.1927354351599,225.48719518416502,156.10651974288345,103.05070911131523,66.3197632894603,45.913682277318664,41.83246607489034,54.076114682175316,82.6446280991736,127.53800632588518,188.7562493623101,266.29935720844827,360.16732986429975,470.36016732986457,596.8778696051427,739.7204366901342,898.8878685848376,1074.3801652892555,1266.197326803388,1474.3393531272327,1698.8062442607907,1939.598000204062,2196.7146209570465,2470.1561065197443,2759.9224568921554,3066.01367207428,3388.4297520661175,3727.1706968676685,4082.236506478933,4453.627180899905,4841.342720130597,5245.383124171,5665.748393021117,6102.438526680948,6555.453525150492,7024.793388429749,7510.458116518719,8012.4477094174035,8530.7621671258,9065.401489643911,9616.365676971735,10183.654729109272,10767.268646056524,11367.207427813486,11983.471074380162,12616.059585756553,13264.972961942658,13930.211202938473,14611.774308744003,15309.662279359247,16023.875114784205,16754.412815018874,17501.275380063256,18264.462809917357],[21464.13631262116,20635.64942352821,19823.487399244976,19027.65023977145,18248.137945107643,17484.950515253542,16738.087950209163,16007.55024997449,15293.337414549535,14595.449443934293,13913.88633812876,13248.648097132944,12599.73472094684,11967.14620957045,11350.882563003774,10750.94378124681,10167.329864299558,9600.04081216202,9049.076624834199,8514.437302316092,7996.122844607695,7494.13325170901,7008.468523620039,6539.1286603407825,6086.113661871238,5649.423528211407,5229.05825936129,4825.017855320886,4437.302316090195,4065.911641669217,3710.845832057953,3372.1048872564033,3049.6888072645643,2743.5975920824403,2453.831241710029,2180.3897561473314,1923.2731353943468,1682.4813794510758,1458.0144883175194,1249.8724619936747,1058.0553004795433,882.5630037751255,723.3955718804208,580.5530047954294,454.0353025201513,343.84246505458646,249.97449239873498,172.43138455259677,111.21314151617187,66.3197632894603,37.75124987246201,25.507601265177037,29.588817467605363,49.99489847974699,86.72584430160192,139.78165493317016,209.1623303744517,294.8678706254466,396.89827568615465,515.2535455565761,649.9336802367109,800.938679726559,968.2685440261191,1151.9232731353936,1351.902867054383,1568.2073257830843,1800.836649321499,2049.790837669627,2315.069890827468,2596.6738087950225,2894.6025915722903,3208.8562391592714,3539.4347515559657,3886.3381287623733,4249.566370778494,4629.119477604323,5024.997449239871,5437.200285685131,5865.727986940105,6310.580553004793,6771.7579838791935,7249.2602795633065,7743.087440057134,8253.239465360675,8779.716355473929,9322.518110396897,9881.644730129578,10457.09621467197,11048.872564024077,11656.973778185897,12281.39985715743,12922.150800938678,13579.226609529638,14252.627282930313,14942.3528211407,15648.403224160798,16370.778491990612,17109.478624630137,17864.503622079377,18635.85348433833],[21035.608611366188,20215.284154678095,19411.284562799716,18623.609835731047,17852.259973472093,17097.234976022854,16358.534843383328,15636.159575553513,14930.109172533414,14240.383634323027,13566.982960922353,12909.907152331394,12269.156208550146,11644.730129578613,11036.628915416793,10444.852566064685,9869.40108152229,9310.27446178961,8767.472706866643,8240.995816753393,7730.843791449854,7237.016630956025,6759.5143352719115,6298.336904397511,5853.484338332823,5424.956637077849,5012.7538006325885,4616.875828997041,4237.322722171207,3874.094480155086,3527.1911029486782,3196.6125905519852,2882.358942965003,2584.4301601877355,2302.826242220181,2037.5471890623398,1788.5930007142122,1555.9636771757978,1339.659218447098,1139.67962452811,956.0248954188353,788.695031119274,637.6900316294259,503.00989694929115,384.65462707886974,282.62422201816156,196.91868176716673,127.53800632588519,74.48219569431694,37.75124987246201,17.345168860320385,13.263952657892059,25.507601265177037,54.076114682175316,98.9694929088869,160.18773594531177,237.73084379144998,331.5988164473015,441.79165391286625,568.3093561881444,711.1519232731358,870.3193551678405,1045.8116518722572,1237.6288133863884,1445.7708397102344,1670.2377308437924,1911.0294867870637,2168.146107540048,2441.587593102746,2731.3539434751574,3037.4451586572814,3359.8612386491195,3698.6021834506705,4053.667993061935,4425.058667482912,4812.774206713598,5216.8146107540015,5637.179879604119,6073.87001326395,6526.885011733493,6996.224875012751,7481.889603101721,7983.8791960004055,8502.193653708802,9036.832976226913,9587.797163554736,10155.086215692274,10738.700132639526,11338.638914396488,11954.902560963164,12587.491072339555,13236.40444852566,13901.642689521475,14583.205795327005,15281.093765942249,15995.306601367207,16725.84430160188,17472.70686664626,18235.89429650036,19015.406591164166],[20615.24334251607,19803.081318232835,19007.24415875931,18227.731864095498,17464.544434241405,16717.68186919702,15987.14416896235,15272.931333537392,14575.043362922148,13893.480257116618,13228.242016120803,12579.328639934698,11946.74012855831,11330.47648199163,10730.537700234669,10146.923783287417,9579.63473114988,9028.670543822056,8494.031221303947,7975.716763595552,7473.727170696869,6988.0624426078975,6518.72257932864,6065.707580859096,5629.017447199266,5208.652178349148,4804.611774308743,4416.896235078053,4045.505560657076,3690.439751045811,3351.6988062442606,3029.2827262524243,2723.1915110702985,2433.4251606978873,2159.9836751351895,1902.8670543822054,1662.0752984389342,1437.6084073053762,1229.4663809815333,1037.649219467402,862.1569227629839,702.9894908682791,560.1469237832878,433.62922150800966,323.43638404244484,229.5684113865933,152.02530354045513,90.80706050403026,45.913682277318664,17.345168860320385,5.101520253035408,9.182736455463733,29.588817467605363,66.3197632894603,119.37557392102853,188.7562493623101,274.4617896133049,376.49219467401304,494.8474645444345,629.5275992245693,780.5325987144174,947.8624630139788,1131.517192123252,1331.4967860422398,1547.8012447709425,1780.430568309357,2029.384756657485,2294.663809815326,2576.2677277828807,2874.1965105601485,3188.4501581471295,3519.028670543824,3865.932047750232,4229.160289766352,4608.713396592188,5004.591368227729,5416.7942046729895,5845.321905927964,6290.174471992651,6751.351902867052,7228.854198551166,7722.681359044993,8232.833384348532,8759.310274461786,9302.112029384754,9861.238649117435,10436.690133659828,11028.466483011936,11636.567697173756,12260.99377614529,12901.744719926537,13558.820528517495,14232.22120191817,14921.946740128556,15627.997143148656,16350.37241097847,17089.072543618,17844.09754106724,18615.44740332619,19403.122130394855],[20203.040506070807,19399.04091419243,18611.366187123764,17840.01632486481,17084.99132741557,16346.291194776042,15623.915926946229,14917.865523926128,14228.139985715741,13554.739312315069,12897.663503724107,12256.912559942863,11632.486480971329,11024.385266809506,10432.6089174574,9857.157432915006,9298.030813182326,8755.22905825936,8228.752168146106,7718.600142842568,7224.772982348741,6747.270686664626,6286.093255790225,5841.240689725539,5412.712988470565,5000.510152025303,4604.632180389755,4225.079073563922,3861.850831547801,3514.9474543413935,3184.368941944699,2870.115294357719,2572.1865115804503,2290.582593612896,2025.303540455055,1776.3493521069272,1543.7200285685126,1327.4155698398117,1127.435975920825,943.7812468115503,776.451382511989,625.4463830221409,490.7662483420062,372.4109784715847,270.3805734108766,184.67503315988176,115.29435771860021,62.23854708703197,25.507601265177037,5.101520253035408,1.0203040506070815,13.263952657892059,41.83246607489034,86.72584430160192,147.9440873380268,225.487195184165,319.3551678400165,429.54800530558134,556.0657075808595,698.9082746658507,858.0757065605555,1033.5680032649736,1225.3851647791034,1433.527191102948,1657.9940822365074,1898.7858381797787,2155.9024589327632,2429.343944495461,2719.110294867872,3025.2015100499966,3347.6175900418343,3686.3585348433853,4041.42434445465,4412.815018875628,4800.5305581063185,5204.570962146717,5624.936230996835,6061.626364656665,6514.641363126209,6983.981226405466,7469.645954494436,7971.63554739312,8489.950005101517,9024.58932761963,9575.553514947453,10142.84256708499,10726.456484032238,11326.395265789204,11942.65891235588,12575.247423732271,13224.160799918374,13889.399040914192,14570.962146719721,15268.850117334965,15983.062952759921,16713.60065299459,17460.463218038974,18223.65064789307,19003.162942556883,19799.000102030404],[19799.000102030404,19003.162942556883,18223.65064789307,17460.463218038974,16713.60065299459,15983.062952759921,15268.850117334965,14570.962146719721,13889.399040914192,13224.160799918374,12575.247423732271,11942.65891235588,11326.395265789204,10726.456484032238,10142.84256708499,9575.553514947453,9024.58932761963,8489.950005101517,7971.635547393122,7469.64595449444,6983.981226405469,6514.641363126211,6061.626364656668,5624.936230996837,5204.5709621467195,4800.530558106315,4412.815018875624,4041.4243444546473,3686.3585348433826,3347.617590041832,3025.201510049995,2719.1102948678713,2429.3439444954593,2155.9024589327614,1898.7858381797769,1657.9940822365058,1433.527191102948,1225.3851647791034,1033.5680032649736,858.0757065605555,698.9082746658507,556.0657075808595,429.54800530558134,319.3551678400165,225.487195184165,147.9440873380268,86.72584430160192,41.83246607489034,13.263952657892059,1.0203040506070815,5.101520253035408,25.507601265177037,62.23854708703197,115.29435771860021,184.67503315988176,270.3805734108766,372.4109784715847,490.7662483420062,625.4463830221409,776.451382511989,943.7812468115503,1127.435975920825,1327.4155698398117,1543.7200285685126,1776.349352106929,2025.303540455057,2290.5825936128977,2572.186511580452,2870.11529435772,3184.3689419447014,3514.9474543413958,3861.8508315478034,4225.079073563925,4604.632180389759,5000.5101520253065,5412.712988470561,5841.240689725535,6286.093255790223,6747.270686664624,7224.772982348737,7718.600142842564,8228.752168146104,8755.22905825936,9298.030813182326,9857.157432915006,10432.6089174574,11024.385266809506,11632.486480971329,12256.912559942863,12897.663503724107,13554.739312315069,14228.139985715741,14917.865523926128,15623.915926946229,16346.291194776042,17084.99132741557,17840.01632486481,18611.366187123764,19399.04091419243,20203.040506070807],[19403.122130394855,18615.44740332619,17844.09754106724,17089.072543618,16350.37241097847,15627.997143148656,14921.946740128556,14232.22120191817,13558.820528517495,12901.744719926537,12260.99377614529,11636.567697173756,11028.466483011936,10436.690133659828,9861.238649117435,9302.112029384754,8759.310274461786,8232.833384348532,7722.681359044995,7228.854198551169,6751.351902867054,6290.174471992654,5845.321905927967,5416.794204672993,5004.591368227731,4608.713396592184,4229.160289766351,3865.9320477502292,3519.0286705438216,3188.4501581471277,2874.1965105601466,2576.26772778288,2294.6638098153244,2029.3847566574832,1780.4305683093555,1547.8012447709411,1331.4967860422398,1131.517192123252,947.8624630139788,780.5325987144174,629.5275992245693,494.8474645444345,376.49219467401304,274.4617896133049,188.7562493623101,119.37557392102853,66.3197632894603,29.588817467605363,9.182736455463733,5.101520253035408,17.345168860320385,45.913682277318664,90.80706050403026,152.02530354045513,229.5684113865933,323.43638404244484,433.62922150800966,560.1469237832878,702.9894908682791,862.1569227629839,1037.649219467402,1229.4663809815333,1437.6084073053762,1662.0752984389342,1902.867054382207,2159.9836751351913,2433.4251606978896,2723.1915110703003,3029.282726252425,3351.698806244263,3690.439751045814,4045.5055606570786,4416.896235078056,4804.611774308747,5208.652178349151,5629.017447199262,6065.7075808590935,6518.722579328638,6988.062442607894,7473.727170696865,7975.716763595548,8494.031221303947,9028.670543822056,9579.63473114988,10146.923783287417,10730.537700234669,11330.47648199163,11946.74012855831,12579.328639934698,13228.242016120803,13893.480257116618,14575.043362922148,15272.931333537392,15987.14416896235,16717.68186919702,17464.544434241405,18227.731864095498,19007.24415875931,19803.081318232835,20615.24334251607],[19015.406591164166,18235.89429650036,17472.70686664626,16725.84430160188,15995.306601367207,15281.093765942249,14583.205795327005,13901.642689521475,13236.40444852566,12587.491072339555,11954.902560963164,11338.638914396488,10738.700132639526,10155.086215692274,9587.797163554736,9036.832976226913,8502.193653708802,7983.8791960004055,7481.889603101723,6996.224875012755,6526.885011733497,6073.870013263953,5637.179879604122,5216.814610754005,4812.7742067136005,4425.05866748291,4053.667993061932,3698.6021834506682,3359.861238649117,3037.4451586572795,2731.353943475155,2441.587593102745,2168.146107540046,1911.029486787062,1670.2377308437908,1445.7708397102328,1237.6288133863884,1045.8116518722572,870.3193551678405,711.1519232731358,568.3093561881444,441.79165391286625,331.5988164473015,237.73084379144998,160.18773594531177,98.9694929088869,54.076114682175316,25.507601265177037,13.263952657892059,17.345168860320385,37.75124987246201,74.48219569431694,127.53800632588519,196.91868176716673,282.62422201816156,384.65462707886974,503.00989694929115,637.6900316294259,788.695031119274,956.0248954188353,1139.67962452811,1339.659218447098,1555.9636771757978,1788.5930007142122,2037.5471890623417,2302.826242220183,2584.4301601877373,2882.358942965005,3196.6125905519866,3527.191102948681,3874.0944801550886,4237.3227221712095,4616.875828997044,5012.753800632591,5424.956637077852,5853.484338332821,6298.336904397508,6759.514335271908,7237.016630956023,7730.84379144985,8240.99581675339,8767.472706866643,9310.27446178961,9869.40108152229,10444.852566064685,11036.628915416793,11644.730129578613,12269.156208550146,12909.907152331394,13566.982960922353,14240.383634323027,14930.109172533414,15636.159575553513,16358.534843383328,17097.234976022854,17852.259973472093,18623.609835731047,19411.284562799716,20215.284154678095,21035.608611366188],[18635.85348433833,17864.503622079377,17109.478624630137,16370.778491990612,15648.403224160798,14942.3528211407,14252.627282930313,13579.226609529638,12922.150800938678,12281.39985715743,11656.973778185897,11048.872564024077,10457.09621467197,9881.644730129578,9322.518110396897,8779.716355473929,8253.239465360675,7743.087440057134,7249.260279563308,6771.757983879197,6310.5805530047965,5865.727986940108,5437.200285685134,5024.997449239874,4629.119477604327,4249.566370778492,3886.3381287623706,3539.4347515559634,3208.8562391592686,2894.602591572288,2596.6738087950207,2315.069890827467,2049.790837669625,1800.8366493214971,1568.2073257830825,1351.9028670543817,1151.9232731353936,968.2685440261191,800.938679726559,649.9336802367109,515.2535455565761,396.89827568615465,294.8678706254466,209.1623303744517,139.78165493317016,86.72584430160192,49.99489847974699,29.588817467605363,25.507601265177037,37.75124987246201,66.3197632894603,111.21314151617187,172.43138455259677,249.97449239873498,343.84246505458646,454.0353025201513,580.5530047954294,723.3955718804208,882.5630037751255,1058.0553004795433,1249.8724619936747,1458.0144883175194,1682.4813794510758,1923.2731353943468,2180.389756147333,2453.831241710031,2743.597592082442,3049.6888072645665,3372.1048872564043,3710.8458320579557,4065.9116416692195,4437.302316090198,4825.017855320888,5229.058259361293,5649.42352821141,6086.113661871235,6539.128660340779,7008.468523620037,7494.133251709007,7996.122844607691,8514.437302316088,9049.076624834197,9600.04081216202,10167.329864299558,10750.94378124681,11350.882563003774,11967.14620957045,12599.73472094684,13248.648097132944,13913.88633812876,14595.449443934293,15293.337414549535,16007.55024997449,16738.087950209163,17484.950515253542,18248.137945107643,19027.65023977145,19823.487399244976,20635.64942352821,21464.13631262116],[18264.462809917357,17501.275380063256,16754.412815018874,16023.875114784205,15309.662279359247,14611.774308744003,13930.211202938473,13264.972961942658,12616.059585756553,11983.471074380162,11367.207427813486,10767.268646056524,10183.654729109272,9616.365676971735,9065.401489643911,8530.7621671258,8012.4477094174035,7510.458116518719,7024.793388429751,6555.453525150495,6102.438526680951,5665.74839302112,5245.383124171003,4841.3427201305985,4453.627180899908,4082.23650647893,3727.1706968676663,3388.4297520661153,3066.0136720742776,2759.9224568921536,2470.1561065197425,2196.7146209570456,1939.59800020406,1698.806244260789,1474.3393531272313,1266.1973268033867,1074.3801652892555,898.8878685848376,739.7204366901342,596.8778696051427,470.36016732986457,360.16732986429975,266.29935720844827,188.7562493623101,127.53800632588518,82.6446280991736,54.076114682175316,41.83246607489034,45.913682277318664,66.3197632894603,103.05070911131523,156.10651974288345,225.48719518416502,311.1927354351599,413.223140495868,531.5784103662894,666.2585450464242,817.2635445362722,984.5934088358335,1168.2481379451083,1368.2277318640963,1584.5321905927976,1817.1615141312104,2066.1157024793383,2331.3947556371813,2612.998673604736,2910.9274563820036,3225.1811039689846,3555.759616365679,3902.6629935720866,4265.891235588208,4645.444342414042,5041.32231404959,5453.52515049485,5882.052851749824,6326.905417814505,6788.082848688907,7265.585144373021,7759.412304866848,8269.564330170388,8796.041220283641,9338.842975206608,9897.969594939288,10473.421079481683,11065.197428833791,11673.29864299561,12297.724721967144,12938.475665748392,13595.55147433935,14268.952147740025,14958.677685950413,15664.728088970513,16387.103356800326,17125.80348943985,17880.82848688909,18652.178349148046,19439.853076216714,20243.852668095093,21064.177124783186,21900.826446280993],[17901.234567901236,17146.209570451992,16407.509437812467,15685.134169982655,14979.083766962554,14289.358228752168,13615.957555351493,12958.881746760533,12318.130802979285,11693.704724007752,11085.603509845932,10493.827160493825,9918.375675951433,9359.24905621875,8816.447301295784,8289.97041118253,7779.818385878989,7285.991225385162,6808.4889297010495,6347.311498826651,5902.458932761963,5473.931231506989,5061.728395061728,4665.850423426181,4286.297316600347,3923.0690745842257,3576.165697377818,3245.5871849811238,2931.3335373941427,2633.4047546168754,2351.800836649321,2086.521783491481,1837.567595143352,1604.9382716049377,1388.6338128762363,1188.6542189572488,1004.999489847974,837.6696255484128,686.6646260585659,551.9844913784311,433.6292215080096,331.5988164473015,245.89327619630666,176.5126007550251,123.45679012345686,86.72584430160192,66.3197632894603,62.23854708703197,74.48219569431694,103.05070911131523,147.9440873380268,209.1623303744517,286.7054382205899,380.5734108764414,490.7662483420062,617.2839506172843,760.1265177022757,919.2939495969804,1094.7862463013985,1286.6034078155299,1494.7454341393745,1719.2123252729323,1960.0040812162017,2217.1207019691865,2490.5621875318857,2780.3285379042973,3086.419753086421,3408.8358330782594,3747.57677787981,4102.642587491075,4474.033261912053,4861.748801142743,5265.789205183148,5686.154474033265,6122.844607693096,6575.859606162634,7045.199469441892,7530.864197530862,8032.853790429545,8551.168248137943,9085.807570656052,9636.771757983875,10204.060810121413,10787.674727068665,11387.613508825627,12003.877155392305,12636.465666768694,13285.379042954799,13950.617283950616,14632.180389756146,15330.068360371391,16044.281195796346,16774.818896031014,17521.6814610754,18284.868890929494,19064.38118559331,19860.21834506683,20672.380369350067,21500.867258443017,22345.67901234568],[17546.16875828997,16799.306193245586,16068.768493010917,15354.55565758596,14656.667686970715,13975.104581165186,13309.866340169368,12660.952963983265,12028.364452606875,11412.100806040198,10812.162024283234,10228.548107335984,9661.259055198447,9110.294867870623,8575.655545352512,8057.341087644116,7555.351494745431,7069.686766656461,6600.346903377205,6147.331904907663,5710.641771247832,5290.2765023977145,4886.236098357311,4498.520559126619,4127.129884705642,3772.0640750943776,3433.323130292827,3110.9070503009893,2804.815835118865,2515.049484746454,2241.6079991837564,1984.4913784307728,1743.6996224875006,1519.2327313539429,1311.0907050300984,1119.273543515967,943.7812468115492,784.6138149168446,641.7712478318543,515.2535455565762,405.0607080910113,311.1927354351598,233.64962758902166,172.43138455259677,127.53800632588518,98.9694929088869,86.72584430160192,90.80706050403026,111.21314151617187,147.9440873380268,200.99989796959505,270.3805734108766,356.0861136618714,458.1165187225796,576.4717885930011,711.1519232731357,862.1569227629839,1029.4867870625453,1213.1415161718198,1413.1211100908079,1629.425568819509,1862.0548923579238,2111.0090807060496,2376.288133863891,2657.892051831447,2955.820834608715,3270.0744821956964,3600.6529945923903,3947.556371798798,4310.78461381492,4690.337720640753,5086.2156922763015,5498.418528721562,5926.946229976536,6371.798796041224,6832.976226915618,7310.478522599733,7804.305683093559,8314.4577083971,8840.934598510354,9383.73635343332,9942.862973166,10518.314457708395,11110.090807060502,11718.192021222323,12342.618100193857,12983.369043975103,13640.444852566063,14313.845525966737,15003.571064177124,15709.621467197223,16431.996735027038,17170.696867666564,17925.721865115804,18697.071727374758,19484.746454443426,20288.746046321805,21109.070503009898,21945.7198245077,22798.694010815223],[17199.26538108356,16460.565248444036,15738.189980614221,15032.139577594124,14342.414039383735,13669.01336598306,13011.9375573921,12371.186613610855,11746.760534639321,11138.659320477502,10546.882971125393,9971.431486583,9412.30486685032,8869.503111927352,8343.026221814098,7832.874196510557,7339.047036016731,6861.544740332616,6400.367309458217,5955.514743393532,5526.987042138558,5114.784205693297,4718.906234057749,4339.353127231915,3976.124885215794,3629.2215080093865,3298.642995612692,2984.389348025711,2686.4605652484433,2404.8566472808893,2139.577594123048,1890.6234057749211,1657.9940822365058,1441.6896235078048,1241.7100295888167,1058.0553004795424,890.725436179981,739.720436690133,605.0403020099993,486.68503213957786,384.6546270788697,298.94908682787485,229.56841138659334,176.5126007550251,139.78165493317016,119.37557392102853,115.29435771860021,127.53800632588519,156.10651974288345,200.99989796959505,262.21814100601995,339.76124885215813,433.6292215080096,543.8220589735744,670.3397612488525,813.1823283338439,972.3497602285487,1147.8420569329667,1339.659218447098,1547.8012447709425,1772.2681359045005,2013.0598918477717,2270.1765126007544,2543.6179981634523,2833.3843485358652,3139.47556371799,3461.8916437098273,3800.6325885113783,4155.698398122643,4527.08907254362,4914.8046117743115,5318.845015814716,5739.210284664834,6175.900418324664,6628.915416794209,7098.255280073459,7583.920008162429,8085.909601061114,8604.22405876951,9138.863381287621,9689.827568615445,10257.116620752982,10840.730537700232,11440.669319457196,12056.932966023873,12689.521477400263,13338.434853586368,14003.673094582184,14685.236200387715,15383.124171002957,16097.337006427915,16827.874706662584,17574.737271706967,18337.924701561067,19117.436996224875,19913.274155698396,20725.436179981636,21553.923069074583,22398.734822977247,23259.871441689625],[16860.524436282012,16129.98673604734,15415.773900622386,14717.885930007142,14036.32282420161,13371.084583205793,12722.17120701969,12089.5826956433,11473.319049076623,10873.380267319659,10289.766350372409,9722.477298234871,9171.513110907048,8636.873788388937,8118.55933068054,7616.569737781856,7130.905009692886,6661.565146413628,6208.550147944086,5771.860014284257,5351.49474543414,4947.454341393735,4559.738802163045,4188.348127742067,3833.282318130803,3494.5413733292517,3172.125293337414,2866.03407815529,2576.267727782879,2302.826242220181,2045.7096214671967,1804.9178655239264,1580.4509743903677,1372.3089480665233,1180.491786552392,1004.9994898479741,845.8320579532694,702.9894908682782,576.4717885930011,466.27895112743624,372.4109784715847,294.8678706254465,233.64962758902166,188.7562493623101,160.18773594531177,147.9440873380268,152.02530354045513,172.43138455259677,209.1623303744517,262.21814100601995,331.5988164473015,417.3043566982963,519.3347617590044,637.6900316294259,772.3701663095607,923.3751657994087,1090.7050300989702,1274.359759208245,1474.3393531272327,1690.643811855934,1923.2731353943486,2172.2273237424765,2437.5063769003154,2719.11029486787,3017.0390776451404,3331.292725232121,3661.8712376288154,4008.774614835223,4372.002856851344,4751.555963677179,5147.433935312726,5559.636771757987,5988.164473012961,6433.017039077649,6894.19446995205,7371.696765636157,7865.523926129985,8375.675951433524,8902.152841546778,9444.954596469746,10004.081216202427,10579.53270074482,11171.309050096927,11779.410264258746,12403.83634323028,13044.587287011527,13701.66309560249,14375.063769003162,15064.789307213548,15770.839710233648,16493.21497806346,17231.91511070299,17986.94010815223,18758.289970411184,19545.96469747985,20349.964289358228,21170.288746046324,22006.938067544128,22859.912253851646,23729.21130496888],[16529.945923885316,15807.570656055505,15101.520253035404,14411.794714825017,13738.394041424343,13081.318232833382,12440.567289052135,11816.141210080601,11208.039995918782,10616.263646566675,10040.81216202428,9481.685542291601,8938.883787368633,8412.40689725538,7902.25487195184,7408.427711458012,6930.925415773898,6469.747984899497,6024.895418834812,5596.367717579838,5184.1648811345785,4788.286909499031,4408.733802673196,4045.505560657076,3698.6021834506682,3368.0236710539734,3053.770023466993,2755.841240689725,2474.2373227221706,2208.9582695643294,1960.004081216202,1727.3747576777882,1511.0702989490862,1311.0907050300984,1127.4359759208237,960.1061116212626,809.1011121314145,674.42097745128,556.0657075808595,454.0353025201513,368.3297622691564,298.94908682787485,245.89327619630666,209.1623303744517,188.7562493623101,184.67503315988176,196.91868176716673,225.48719518416502,270.3805734108766,331.5988164473015,409.1419242934397,503.00989694929115,613.202734414856,739.7204366901341,882.5630037751255,1041.7304356698303,1217.2227323742482,1409.0398938883795,1617.1819202122242,1841.648811345782,2082.4405672890534,2339.557188042038,2612.998673604734,2902.7650239771447,3208.8562391592714,3531.272319151109,3870.01326395266,4225.079073563924,4596.469747984902,4984.185287215593,5388.225691255997,5808.590960106115,6245.281093765946,6698.2960922354905,7167.6359555147465,7653.300683603711,8155.2902765023955,8673.604734210792,9208.244056728903,9759.208244056726,10326.497296194264,10910.111213141514,11510.049994898476,12126.313641465154,12758.902152841545,13407.815529027648,14073.053770023467,14754.616875828997,15452.504846444239,16166.717681869195,16897.255382103867,17644.11794714825,18407.305377002347,19186.817671666155,19982.65483113968,20794.816855422916,21623.303744515866,22468.115498418527,23329.252117130905,24206.713600652998],[16207.52984389348,15493.317008468523,14795.429037853279,14113.865932047749,13448.627691051932,12799.714314865829,12167.125803489438,11550.862156922762,10950.923375165798,10367.309458218548,9800.02040608101,9249.056218753187,8714.416896235076,8196.10243852668,7694.112845627995,7208.448117539024,6739.108254259767,6286.093255790222,5849.403122130394,5429.037853280278,5024.997449239874,4637.281910009182,4265.891235588205,3910.825425976941,3572.08448117539,3249.6684011835523,2943.577186001428,2653.8108356290168,2380.3693500663194,2123.252729313335,1882.4609733700638,1657.9940822365068,1449.8520559126614,1258.0348943985302,1082.5425976941124,923.3751657994078,780.5325987144164,654.0148964391384,543.8220589735745,449.95408631772295,372.4109784715847,311.1927354351598,266.29935720844827,237.73084379144998,225.487195184165,229.5684113865933,249.97449239873498,286.7054382205899,339.76124885215813,409.1419242934397,494.8474645444345,596.8778696051427,715.2331394755641,849.9132741556989,1000.918273645547,1168.2481379451083,1351.9028670543828,1551.882460973371,1768.1869197020721,2000.8162432404868,2249.770431588615,2515.049484746456,2796.6534027140087,3094.5821854912756,3408.8358330782594,3739.4143454749537,4086.3177226813614,4449.545964697482,4829.0990715233165,5224.977043158864,5637.179879604126,6065.7075808591,6510.560146923787,6971.737577798187,7449.239873482302,7943.067033976122,8453.219059279663,8979.695949392917,9522.497704315883,10081.624324048564,10657.075808590958,11248.852157943064,11856.953372104885,12481.37945107642,13122.130394857666,13779.206203448626,14452.606876849299,15142.332415059685,15848.382818079786,16570.758085909598,17309.458218549127,18064.483215998367,18835.83307825732,19623.507805325986,20427.50739720437,21247.831853892458,22084.48117539027,22937.455361697786,23806.75441281502,24692.378328741965],[15893.276196306499,15187.225793286398,14497.500255076011,13824.099581675338,13167.023773084376,12526.27282930313,11901.846750331597,11293.745536169776,10701.969186817669,10126.517702275276,9567.391082542596,9024.58932761963,8498.112437506375,7987.960412202834,7494.133251709007,7016.630956024893,6555.453525150492,6110.600959085805,5682.0732578308325,5269.870421385573,4873.992449750025,4494.439342924191,4131.211100908071,3784.307723701663,3453.729211304969,3139.4755637179874,2841.54678094072,2559.9428629731656,2294.6638098153244,2045.7096214671967,1813.0802979287823,1596.775839200082,1396.7962452810932,1213.1415161718187,1045.8116518722575,894.8066523824095,760.1265177022748,641.7712478318535,539.7408427711462,454.0353025201513,384.6546270788697,331.5988164473015,294.8678706254466,274.4617896133049,270.3805734108766,282.62422201816156,311.1927354351599,356.0861136618714,417.3043566982963,494.8474645444345,588.715437200286,698.9082746658509,825.425976941129,968.2685440261204,1127.435975920825,1302.928272625243,1494.7454341393743,1702.887460463219,1927.354351596777,2168.1461075400484,2425.2627282930325,2698.704213855731,2988.4705642281397,3294.5617794102636,3616.9778594021036,3955.718804203655,4310.78461381492,4682.175288235897,5069.890827466588,5473.931231506993,5894.29650035711,6330.986634016941,6784.001632486485,7253.341495765742,7739.0062238547125,8240.99581675339,8759.310274461788,9293.949596979899,9844.913784307722,10412.202836445258,10995.816753392508,11595.755535149472,12212.01918171615,12844.607693092541,13493.521069278644,14158.759310274461,14840.322416079991,15538.210386695235,16252.423222120191,16982.96092235486,17729.823487399244,18493.01091725334,19272.523211917152,20068.360371390674,20880.52239567391,21709.00928476686,22553.821038669525,23414.9576573819,24292.419140903992,25186.205489235792],[15587.184981124377,14889.297010509134,14207.733904703602,13542.495663707785,12893.582287521682,12260.993776145291,11644.730129578615,11044.79134782165,10461.177430874399,9893.888378736863,9342.924191409038,8808.284868890929,8289.970411182532,7787.980818283848,7302.316090194878,6832.97622691562,6379.961228446075,5943.271094786244,5522.905825936128,5118.865421895726,4731.149882665035,4359.759208244057,4004.693398632793,3665.9524538312426,3343.536373839405,3037.44515865728,2747.678808284869,2474.2373227221715,2217.120701969187,1976.3289460259157,1751.862054892358,1543.720028568514,1351.9028670543819,1176.410570349964,1017.2431384552593,874.400571370268,747.8828690949899,637.6900316294252,543.8220589735745,466.27895112743613,405.0607080910112,360.1673298642995,331.5988164473012,319.3551678400162,323.43638404244444,343.842465054586,380.5734108764409,433.62922150800904,503.0098969492905,588.7154372002854,690.7458422609935,809.1011121314149,943.7812468115495,1094.7862463013976,1262.1161106009588,1445.7708397102333,1645.7504336292213,1862.0548923579227,2094.684215896337,2343.638404244465,2608.9174574023064,2890.5213753698604,3188.450158147126,3502.703805734107,3833.282318130804,4180.185695337211,4543.413937353333,4922.967044179166,5318.845015814714,5731.047852259975,6159.575553514949,6604.428119579637,7065.605550454037,7543.107846138151,8036.9350066319785,8547.087031935513,9073.563922048766,9616.365676971735,10175.492296704413,10750.943781246808,11342.720130598915,11950.821344760734,12575.247423732268,13215.998367513515,13873.074176104476,14546.47484950515,15236.200387715537,15942.250790735638,16664.62605856545,17403.326191204975,18158.351188654215,18929.70105091317,19717.375777981833,20521.375369860216,21341.69982654831,22178.349148046116,23031.323334353634,23900.622385470866,24786.246301397812,25688.195082134473],[15289.25619834711,14599.530660136721,13926.129986736047,13269.054178145088,12628.30323436384,12003.877155392307,11395.775941230486,10803.999591878379,10228.548107335984,9669.421487603306,9126.619732680338,8600.142842567084,8089.990817263544,7596.163656769717,7118.661361085602,6657.483930211201,6212.631364146514,5784.10366289154,5371.900826446281,4976.022854810734,4596.4697479849,4233.241505968779,3886.3381287623715,3555.7596163656776,3241.5059687786966,2943.5771860014283,2661.9732680338743,2396.694214876033,2147.7400265279052,1915.1107029894908,1698.8062442607898,1498.8266503418024,1315.171921232527,1147.8420569329658,996.8370574431177,862.1569227629831,743.8016528925616,641.7712478318535,556.0657075808593,486.68503213957774,433.6292215080094,396.8982756861544,376.4921946740127,372.4109784715844,384.6546270788693,413.2231404958675,458.11651872257903,519.3347617590039,596.877869605142,690.7458422609935,800.9386797265582,927.4563820018362,1070.2989490868276,1229.4663809815322,1404.95867768595,1596.7758392000815,1804.917865523926,2029.3847566574839,2270.176512600755,2527.29313335374,2800.7346189164373,3090.5009692888484,3396.592184470971,3719.0082644628083,4057.7492092643615,4412.815018875625,4784.205693296603,5171.921232527295,5575.961636567698,5996.326905417816,6433.017039077647,6886.032037547191,7355.371900826449,7841.036628915419,8343.026221814103,8861.340679522493,9395.980002040604,9946.944189368427,10514.233241505965,11097.847158453214,11697.785940210179,12314.049586776855,12946.638098153246,13595.55147433935,14260.789715335166,14942.352821140696,15640.24079175594,16354.453627180897,17084.991327415566,17831.85389245995,18595.041322314046,19374.553616977857,20170.39077645138,20982.552800734615,21811.039689827565,22655.85144373023,23516.988062442608,24394.449545964693,25288.2358942965,26198.347107438014],[14999.489847974695,14317.926742169166,13652.688501173348,13003.775124987245,12371.186613610855,11754.922967044176,11154.984185287214,10571.370268339962,10004.081216202427,9453.117028874603,8918.47770635649,8400.163248648096,7898.173655749411,7412.50892766044,6943.1690643811835,6490.154065911639,6053.463932251809,5633.098663401691,5229.058259361288,4841.3427201305985,4469.952045709621,4114.886236098357,3776.145291296806,3453.729211304969,3147.6379961228445,2857.8716457504333,2584.4301601877355,2327.313539434751,2086.52178349148,1862.0548923579222,1653.9128660340778,1462.0957045199473,1286.6034078155285,1127.4359759208241,984.5934088358327,858.0757065605547,747.88286909499,654.0148964391386,576.4717885930011,515.2535455565762,470.36016732986457,441.79165391286625,429.54800530558134,433.62922150800966,454.0353025201513,490.7662483420062,543.8220589735744,613.202734414856,698.9082746658509,800.938679726559,919.2939495969805,1053.9740842771153,1204.9790837669632,1372.3089480665246,1555.9636771757991,1755.9432710947872,1972.2477298234885,2204.877053361903,2453.831241710031,2719.1102948678717,3000.7142128354267,3298.6429956126944,3612.8966431996732,3943.4751555963676,4290.378532802778,4653.606774818899,5033.159881644733,5429.037853280281,5841.240689725541,6269.7683909805155,6714.620957045203,7175.7983879196045,7653.300683603718,8147.127844097546,8657.279869401087,9183.756759514334,9726.5585144373,10285.68513416998,10861.136618712375,11452.912968064482,12061.014182226301,12685.440261197837,13326.19120497908,13983.267013570043,14656.667686970715,15346.393225181102,16052.443628201203,16774.818896031018,17513.519028670544,18268.544026119784,19039.893888378738,19827.568615447402,20631.56820732578,21451.892664013874,22288.541985511685,23141.516171819203,24010.815222936435,24896.43913886338,25798.38791960004,26716.661565146416],[14717.885930007142,14044.485256606467,13387.409448015507,12746.658504234261,12122.232425262726,11514.131211100907,10922.3548617488,10346.903377206405,9787.776757473725,9244.975002550758,8718.498112437504,8208.346087133963,7714.518926640137,7237.016630956023,6775.839200081622,6330.986634016935,5902.458932761961,5490.2560963167,5094.378124681154,4714.825017855321,4351.5967758392,4004.693398632792,3674.114886236098,3359.8612386491172,3061.93245587185,2780.328537904295,2515.0494847464543,2266.0952963983264,2033.4659728599117,1817.1615141312107,1617.1819202122228,1433.527191102949,1266.197326803387,1115.1923273135392,980.5121926334044,862.1569227629832,760.126517702275,674.4209774512804,605.0403020099993,551.9844913784311,515.2535455565761,494.8474645444345,490.7662483420062,503.00989694929115,531.5784103662894,576.4717885930011,637.6900316294259,715.2331394755641,809.1011121314157,919.2939495969805,1045.8116518722586,1188.65421895725,1347.8216508519547,1523.3139475563726,1715.131109070504,1923.2731353943486,2147.7400265279066,2388.531782471178,2645.648403224162,2919.08988878686,3208.8562391592714,3514.9474543413958,3837.3635343332307,4176.104479134782,4531.170288746049,4902.560963167027,5290.276502397717,5694.316906438122,6114.682175288239,6551.37230894807,7004.3873074176145,7473.727170696872,7959.391898785842,8461.381491684528,8979.695949392924,9514.335271911026,10065.299459238851,10632.588511376387,11216.202428323639,11816.141210080603,12432.40485664728,13064.993368023668,13713.906744209773,14379.144985205588,15060.70809101112,15758.596061626366,16472.80889705132,17203.346597285992,17950.209162330375,18713.396592184472,19492.90888684828,20288.7460463218,21100.90807060504,21929.39495969799,22774.20671360065,23635.34333231303,24512.804815835123,25406.591164166923,26316.70237730844,27243.13845525967],[14444.444444444443,13779.206203448626,13130.292827262523,12497.704315886132,11881.440669319456,11281.501887562492,10697.88797061524,10130.598918477705,9579.63473114988,9044.99540863177,8526.680950923372,8024.691358024689,7539.026629935719,7069.686766656461,6616.671768186918,6179.9816345270865,5759.6163656769695,5355.575961636565,4967.860422405875,4596.469747984899,4241.403938373635,3902.662993572084,3580.2469135802467,3274.1556983981227,2984.3893480257116,2710.9478624630137,2453.831241710029,2213.039485766758,1988.5725946332002,1780.4305683093557,1588.6134067952246,1413.1211100908074,1253.9536781961021,1111.1111111111109,984.5934088358329,874.4005713702682,780.5325987144167,702.9894908682786,641.7712478318543,596.8778696051427,568.3093561881444,556.0657075808595,560.1469237832878,580.5530047954294,617.2839506172843,670.3397612488525,739.7204366901341,825.425976941129,927.4563820018371,1045.8116518722586,1180.4917865523933,1331.4967860422414,1498.8266503418026,1682.4813794510774,1882.4609733700654,2098.7654320987667,2331.3947556371813,2580.348943985309,2845.62799714315,3127.231915110705,3425.1606978879727,3739.4143454749537,4069.9928578716454,4416.896235078053,4780.124477094177,5159.677583920011,5555.555555555558,5967.758392000819,6396.286093255793,6841.138659320482,7302.316090194882,7779.818385878996,8273.645546372823,8783.797571676365,9310.274461789619,9853.076216712578,10412.202836445258,10987.654320987653,11579.43067033976,12187.53188450158,12811.957963473113,13452.70890725436,14109.784715845319,14783.185389245995,15472.910927456382,16178.961330476483,16901.336598306294,17640.036730945823,18395.061728395063,19166.411590654014,19954.086317722682,20758.08590960106,21578.410366289154,22415.05968778696,23268.03387409448,24137.332925211715,25022.95684113866,25924.90562187532,26843.179267421692,27777.77777777778],[14179.165391286602,13522.089582695642,12881.338638914394,12256.912559942863,11648.811345781041,11057.034996428934,10481.58351188654,9922.45689215386,9379.655137230893,8853.17824711764,8343.026221814098,7849.1990613202715,7371.696765636158,6910.519334761757,6465.6667686970695,6037.139067442095,5624.936230996835,5229.058259361287,4849.505152535454,4486.276910519335,4139.373533312927,3808.7950209162327,3494.5413733292517,3196.6125905519843,2915.0086725844303,2649.7296194265887,2400.775431078461,2168.1461075400466,1951.8416488113453,1751.8620548923575,1568.2073257830832,1400.8774614835224,1249.8724619936738,1115.1923273135392,996.8370574431178,894.8066523824099,809.101112131415,739.7204366901336,686.6646260585659,649.9336802367109,629.5275992245693,625.4463830221409,637.6900316294259,666.2585450464242,711.1519232731357,772.3701663095607,849.9132741556989,943.7812468115504,1053.9740842771153,1180.4917865523933,1323.3343536373848,1482.5017855320893,1657.9940822365074,1849.8112437506388,2057.9532700744835,2282.4201612080415,2523.2119171513123,2780.328537904297,3053.7700234669946,3343.536373839406,3649.6275890215306,3972.0436690133683,4310.784613814917,4665.850423426181,5037.241097847162,5424.956637077852,5828.997041118257,6249.362309968374,6686.052443628205,7139.067442097749,7608.407305377006,8094.072033465978,8596.061626364663,9114.37608407306,9649.01540659117,10199.979593918986,10767.268646056524,11350.882563003774,11950.821344760738,12567.084991327414,13199.673502703803,13848.586878889906,14513.825119885725,15195.388225691255,15893.276196306499,16607.489031731457,17338.026731966125,18084.889297010508,18848.076726864605,19627.589021528416,20423.426181001938,21235.588205285174,22064.075094378124,22908.88684828079,23770.023466993167,24647.484950515252,25541.27129884706,26451.382511988573,27377.818589939805,28320.579532700747],[13922.048770533618,13273.135394347513,12640.546882971124,12024.283236404448,11424.344454647482,10840.730537700232,10273.441485562696,9722.477298234871,9187.83797571676,8669.523518008365,8167.53392510968,7681.86919702071,7212.529333741453,6759.514335271909,6322.8242016120785,5902.458932761961,5498.418528721557,5110.702989490866,4739.312315069889,4384.246505458626,4045.505560657076,3723.0894806652377,3416.9982654831138,3127.231915110703,2853.7904295480052,2596.6738087950207,2355.8820528517494,2131.415161718192,1923.273135394347,1731.455973880216,1555.9636771757982,1396.7962452810941,1253.9536781961021,1127.4359759208244,1017.2431384552596,923.3751657994083,845.83205795327,784.6138149168453,739.7204366901342,711.1519232731358,698.9082746658507,702.9894908682791,723.3955718804208,760.1265177022757,813.1823283338439,882.5630037751255,968.2685440261204,1070.2989490868285,1188.65421895725,1323.3343536373848,1474.3393531272327,1641.6692174267941,1825.323946536069,2025.3035404550567,2241.6079991837582,2474.2373227221724,2723.1915110703003,2988.4705642281415,3270.074482195696,3568.0032649729637,3882.2569125599452,4212.83542495664,4559.738802163045,4922.967044179166,5302.520151005003,5698.398122640549,6110.60095908581,6539.128660340785,6983.981226405473,7445.158657279873,7922.660952963988,8416.488113457815,8926.640138761355,9453.11702887461,9995.918783797577,10555.04540353025,11130.496888072645,11722.273237424752,12330.374451586571,12954.800530558105,13595.55147433935,14252.627282930313,14926.027956330985,15615.753494541372,16321.803897561473,17044.179165391288,17782.879298030814,18537.904295480053,19309.254157739007,20096.928884807672,20900.928476686055,21721.252933374148,22557.90225487195,23410.876441179473,24280.175492296705,25165.799408223655,26067.74818896031,26986.021834506686,27920.62034486277,28871.54372002857],[13673.09458218549,13032.343638404243,12407.91755943271,11799.81634527089,11208.039995918782,10632.588511376387,10073.461891643707,9530.66013672074,9004.183246607487,8494.031221303947,8000.204060810119,7522.701765126006,7061.524334251605,6616.671768186918,6188.144066931944,5775.941230486683,5380.063258851135,5000.510152025301,4637.281910009181,4290.378532802775,3959.800020406081,3645.5463728191,3347.617590041832,3066.013672074278,2800.7346189164373,2551.780430568309,2319.151107029895,2102.8466483011935,1902.8670543822057,1719.2123252729311,1551.88246097337,1400.8774614835224,1266.1973268033873,1147.842056932966,1045.811651872258,960.1061116212632,890.7254361799817,837.6696255484136,800.938679726559,780.5325987144174,776.451382511989,788.695031119274,817.2635445362722,862.1569227629839,923.3751657994087,1000.918273645547,1094.7862463013985,1204.9790837669632,1331.4967860422414,1474.3393531272327,1633.5067850219375,1808.9990817263556,2000.8162432404868,2208.9582695643317,2433.425160697889,2674.2169166411604,2931.333537394145,3204.775022956843,3494.541373329254,3800.6325885113783,4123.0486685032165,4461.789613304767,4816.855422916029,5188.246097337007,5575.9616365677,5980.002040608104,6400.367309458223,6837.057443118053,7290.072441587597,7759.412304866855,8245.077032955825,8747.06662585451,9265.381083562908,9800.020406081017,10350.98459340884,10918.273645546371,11501.887562493623,12101.826344250585,12718.089990817261,13350.678502193652,13999.591878379755,14664.830119375572,15346.393225181102,16044.281195796346,16758.494031221304,17489.031731455972,18235.894296500355,18999.081726354452,19778.594021018263,20574.43118049179,21386.593204775025,22215.080093867975,23059.891847770636,23921.02846648301,24798.489950005103,25692.276298336903,26602.387511478424,27528.823589429652,28471.584532190594,29430.67033976125],[13432.30282624222,12799.714314865829,12183.450668299152,11583.511886542188,10999.897969594938,10432.6089174574,9881.644730129578,9347.005407611465,8828.690949903068,8326.701357004385,7841.036628915414,7371.696765636158,6918.681767166614,6481.991633506783,6061.626364656666,5657.585960616261,5269.870421385571,4898.479746964593,4543.41393735333,4204.67299255178,3882.256912559943,3576.165697377818,3286.3993470054074,3012.95786144271,2755.8412406897255,2515.0494847464543,2290.5825936128963,2082.440567289052,1890.6234057749207,1715.1311090705028,1555.9636771757982,1413.1211100908074,1286.603407815529,1176.4105703499642,1082.5425976941128,1004.9994898479748,943.78124681155,898.8878685848385,870.3193551678405,858.0757065605555,862.1569227629839,882.5630037751255,919.2939495969804,972.3497602285487,1041.7304356698303,1127.435975920825,1229.4663809815331,1347.8216508519547,1482.5017855320893,1633.5067850219375,1800.836649321499,1984.4913784307735,2184.4709723497617,2400.7754310784626,2633.404754616877,2882.358942965005,3147.6379961228463,3429.2419140904008,3727.1706968676685,4041.42434445465,4372.002856851344,4718.906234057752,5082.13447607387,5461.6875828997045,5857.565554535255,6269.7683909805155,6698.2960922354905,7143.148658300177,7604.326089174579,8081.8283848586925,8575.65554535252,9085.807570656061,9612.284460769315,10155.086215692281,10714.212835424963,11289.664319967349,11881.440669319456,12489.541883481275,13113.967962452809,13754.718906234057,14411.794714825017,15085.19538822569,15774.920926436076,16480.971329456177,17203.346597285992,17942.046729925518,18697.071727374758,19468.421589633712,20256.09631670238,21060.095908580755,21880.420365268852,22717.069686766656,23570.043873074177,24439.342924191413,25324.966840118355,26226.91562085502,27145.18926640139,28079.787776757476,29030.711151923275,29997.95939189879],[13199.673502703805,12575.247423732271,11967.14620957045,11375.369860218343,10799.918375675948,10240.791755943268,9697.990001020302,9171.513110907048,8661.361085603508,8167.533925109681,7690.031629425566,7228.8541985511665,6784.001632486479,6355.473931231505,5943.271094786244,5547.393123150697,5167.8400163248625,4804.611774308742,4457.708397102335,4127.129884705642,3812.8762371186613,3514.9474543413935,3233.343536373839,2968.0644832159983,2719.110294867871,2486.4809713294558,2270.176512600755,2070.196918681767,1886.5421895724924,1719.2123252729311,1568.2073257830834,1433.527191102949,1315.1719212325272,1213.1415161718194,1127.4359759208246,1058.0553004795431,1004.9994898479749,968.2685440261201,947.8624630139788,943.7812468115503,956.0248954188353,984.5934088358335,1029.4867870625453,1090.7050300989702,1168.2481379451083,1262.1161106009597,1372.3089480665246,1498.8266503418026,1641.6692174267941,1800.836649321499,1976.3289460259168,2168.1461075400484,2376.2881338638927,2600.7550249974506,2841.546780940722,3098.6634016937064,3372.1048872564043,3661.8712376288154,3967.96245281094,4290.378532802778,4629.1194776043285,4984.185287215593,5355.575961636568,5743.291500867259,6147.331904907666,6567.697173757783,7004.387307417614,7457.402305887159,7926.742169166416,8412.406897255387,8914.396490154071,9432.710947862468,9967.350270380579,10518.314457708404,11085.603509845942,11669.217426793182,12269.156208550146,12885.419855116823,13518.008366493214,14166.921742679318,14832.159983675134,15513.723089480663,16211.611060095907,16925.823895520865,17656.361595755534,18403.224160799917,19166.411590654014,19945.923885317825,20741.761044791347,21553.923069074583,22382.409958167536,23227.221712070197,24088.358330782576,24965.81981430466,25859.606162636468,26769.717375777982,27696.153453729214,28638.914396490156,29598.000204060812,30573.410876441183],[12975.206611570247,12358.942965003569,11759.004183246605,11175.390266299357,10608.10121416182,10057.137026833994,9522.497704315883,9004.183246607487,8502.193653708802,8016.528925619833,7547.189062340575,7094.174063871032,6657.483930211201,6237.1186613610835,5833.07825732068,5445.362718089988,5073.972043669011,4718.906234057747,4380.165289256197,4057.7492092643606,3751.6579940822367,3461.891643709825,3188.4501581471277,2931.3335373941436,2690.5417814508723,2466.0748903173144,2257.9328639934697,2066.115702479339,1890.6234057749207,1731.4559738802163,1588.613406795225,1462.0957045199475,1351.9028670543823,1258.034894398531,1180.4917865523928,1119.273543515968,1074.3801652892566,1045.8116518722584,1033.5680032649736,1037.649219467402,1058.0553004795433,1094.7862463013985,1147.8420569329667,1217.2227323742482,1302.928272625243,1404.9586776859512,1523.3139475563726,1657.9940822365074,1808.9990817263556,1976.3289460259168,2159.983675135192,2359.9632690541794,2576.2677277828807,2808.8970513212953,3057.851239669423,3323.1302928272644,3604.734210794819,3902.6629935720866,4216.916641159068,4547.495153555762,4894.39853076217,5257.626772778291,5637.179879604122,6033.0578512396705,6445.260687684934,6873.788388939907,7318.6409550045955,7779.818385878996,8257.320681563111,8751.147842056938,9261.299867360478,9787.776757473732,10330.5785123967,10889.705132129382,11465.156616671775,12056.932966023873,12665.034180185694,13289.460259157227,13930.211202938475,14587.287011529435,15260.687684930108,15950.413223140495,16656.463626160596,17378.838893990407,18117.539026629936,18872.564024079176,19643.91388633813,20431.588613406795,21235.588205285174,22055.91266197327,22892.561983471074,23745.536169778596,24614.835220895828,25500.459136822778,26402.407917559434,27320.681563105805,28255.280073461894,29206.203448627693,30173.451688603207,31157.024793388435],[12758.902152841545,12150.800938679724,11559.024589327619,10983.573104785224,10424.446485052544,9881.644730129576,9355.167840016322,8845.015814712782,8351.188654218955,7873.686358534842,7412.50892766044,6967.656361595754,6539.12866034078,6126.925823895519,5731.0478522599715,5351.494745434137,4988.266503418016,4641.363126211609,4310.784613814916,3996.530966227936,3698.6021834506682,3416.9982654831138,3151.719212325273,2902.765023977145,2670.135700438731,2453.831241710029,2253.8516477910416,2070.1969186817673,1902.8670543822059,1751.862054892358,1617.1819202122233,1498.8266503418024,1396.796245281094,1311.0907050300993,1241.7100295888176,1188.6542189572497,1151.9232731353948,1131.5171921232532,1127.435975920825,1139.67962452811,1168.2481379451083,1213.1415161718198,1274.359759208245,1351.9028670543828,1445.7708397102344,1555.9636771757991,1682.4813794510774,1825.323946536069,1984.4913784307735,2159.983675135192,2351.8008366493227,2559.9428629731674,2784.4097541067254,3025.2015100499966,3282.318130802981,3555.759616365679,3845.52596673809,4151.6171819202145,4474.033261912053,4812.774206713603,5167.840016324867,5539.230690745845,5926.946229976534,6330.986634016938,6751.351902867058,7188.042036526889,7641.057034996433,8110.396898275691,8596.061626364663,9098.051219263347,9616.365676971742,10151.004999489855,10701.969186817678,11269.258238955215,11852.872155902465,12452.81093765942,13069.074584226099,13701.66309560249,14350.576471788592,15015.81471278441,15697.37781858994,16395.265789205183,17109.478624630137,17840.01632486481,18586.878889909192,19350.06631976329,20129.5786144271,20925.415773900622,21737.577798183862,22566.06468727681,23410.876441179473,24272.013059891848,25149.47454341394,26043.26089174574,26953.372104887258,27879.80818283849,28822.56912559943,29781.654933170088,30757.06560555046,31748.80114274054],[12550.7601265177,11950.821344760738,11367.207427813486,10799.91837567595,10248.954188348125,9714.314865830016,9196.000408121618,8694.010815222933,8208.346087133963,7739.006223854707,7285.991225385163,6849.301091725332,6428.935822875215,6024.895418834811,5637.17987960412,5265.789205183142,4910.723395571878,4571.982450770327,4249.566370778491,3943.4751555963676,3653.708805223957,3380.267319661259,3123.1506989082745,2882.3589429650037,2657.8920518314458,2449.750025507601,2257.93286399347,2082.440567289052,1923.2731353943475,1780.4305683093562,1653.9128660340784,1543.720028568514,1449.8520559126623,1372.3089480665242,1311.0907050300993,1266.197326803388,1237.6288133863895,1225.3851647791048,1229.4663809815333,1249.8724619936747,1286.6034078155299,1339.659218447098,1409.0398938883795,1494.7454341393743,1596.7758392000824,1715.131109070504,1849.8112437506388,2000.8162432404868,2168.1461075400484,2351.8008366493227,2551.7804305683107,2768.084889297012,3000.7142128354267,3249.6684011835546,3514.9474543413958,3796.5513723089502,4094.480155086218,4408.7338026731995,4739.312315069894,5086.215692276301,5449.4439342924215,5828.997041118257,6224.8750127538015,6637.077849199062,7065.60555045404,7510.4581165187265,7971.635547393127,8449.137843077242,8942.96500357107,9453.11702887461,9979.593918987865,10522.395673910833,11081.522293643513,11656.973778185906,12248.750127538013,12856.851341699825,13481.27742067136,14122.028364452606,14779.104173043566,15452.50484644424,16142.230384654626,16848.280787674725,17570.65605550454,18309.356188144066,19064.38118559331,19835.73104785226,20623.405774920928,21427.405366799307,22247.7298234874,23084.379144985207,23937.353331292725,24806.65238240996,25692.276298336907,26594.225079073563,27512.498724619938,28447.097234976027,29398.020610141826,30365.26885011734,31348.841954902564,32348.739924497506],[12350.780532598716,11759.004183246609,11183.552698704214,10624.426078971535,10081.624324048567,9555.147433935312,9044.995408631772,8551.168248137945,8073.665952453831,7612.488521579431,7167.635955514743,6739.108254259769,6326.905417814509,5931.02744617896,5551.474339353126,5188.246097337005,4841.342720130598,4510.764207733903,4196.510560146923,3898.5817773696567,3616.9778594021027,3351.698806244261,3102.744617896133,2870.115294357719,2653.8108356290177,2453.831241710029,2270.176512600755,2102.8466483011935,1951.8416488113453,1817.1615141312107,1698.8062442607893,1596.7758392000815,1511.0702989490862,1441.6896235078048,1388.6338128762363,1351.9028670543817,1331.4967860422398,1327.4155698398117,1339.6592184470965,1368.2277318640945,1413.121110090806,1474.3393531272309,1551.882460973369,1645.7504336292202,1755.943271094785,1882.460973370063,2025.3035404550542,2184.470972349759,2359.9632690541766,2551.780430568308,2759.9224568921527,2984.38934802571,3225.1811039689815,3482.297724721966,3755.7392102846634,4045.5055606570745,4351.596775839199,4674.012855831037,5012.753800632588,5367.8196102438515,5739.210284664829,6126.92582389552,6530.966227935921,6951.331496786039,7388.021630445873,7841.036628915416,8310.376492194673,8796.041220283645,9298.03081318233,9816.345270890726,10350.984593408837,10901.94878073666,11469.237832874198,12052.851749821448,12652.790531578412,13269.05417814508,13901.642689521472,14550.556065707575,15215.79430670339,15897.357412508922,16595.245383124166,17309.45821854912,18039.995918783792,18786.858483828175,19550.04591368227,20329.55820834608,21125.395367819605,21937.55739210284,22766.04428119579,23610.85603509845,24471.99265381083,25349.45413733292,26243.240485664723,27153.35169880624,28079.78777675747,29022.54871951841,29981.634527089067,30957.045199469438,31948.78073665952,32956.84113865932],[12158.963371084585,11575.349454137333,11008.060401999797,10457.096214671974,9922.456892153863,9404.142434445464,8902.15284154678,8416.48811345781,7947.148250178553,7494.1332517090095,7057.443118049177,6637.07784919906,6233.037445158657,5845.321905927965,5473.931231506988,5118.865421895724,4780.124477094173,4457.708397102335,4151.617181920212,3861.850831547802,3588.409345985104,3331.292725232119,3090.5009692888484,2866.0340781552904,2657.8920518314458,2466.0748903173144,2290.5825936128963,2131.415161718192,1988.5725946332002,1862.0548923579222,1751.8620548923575,1657.9940822365063,1580.4509743903677,1519.2327313539429,1474.3393531272313,1445.7708397102328,1433.527191102948,1437.6084073053762,1458.0144883175178,1494.7454341393727,1547.8012447709407,1617.1819202122222,1702.887460463217,1804.9178655239248,1923.2731353943461,2057.9532700744808,2208.958269564329,2376.28813386389,2559.9428629731647,2759.9224568921527,2976.2269156208536,3208.856239159268,3457.810427507396,3723.089480665237,4004.6933986327913,4302.622181410059,4616.87582899704,4947.4543413937345,5294.357718600142,5657.585960616262,6037.139067442096,6433.017039077645,6845.219875522902,7273.747576777877,7718.600142842567,8179.777573716967,8657.279869401082,9151.107029894909,9661.25905519845,10187.735945311704,10730.53770023467,11289.66431996735,11865.115804509744,12456.892153861852,13064.993368023674,13689.419446995198,14330.170390776446,14987.246199367404,15660.646872768079,16350.372410978465,17056.422813998564,17778.79808182838,18517.498214467905,19272.523211917145,20043.873074176096,20831.547801244764,21635.547393123143,22455.87184981124,23292.521171309043,24145.495357616564,25014.794408733796,25900.418324660743,26802.367105397403,27720.640750943778,28655.239261299863,29606.162636465662,30573.410876441176,31556.9839812264,32556.881950821342,33573.104785225994],[11975.308641975309,11399.857157432916,10840.730537700236,10297.928782777268,9771.451892664014,9261.299867360472,8767.472706866647,8289.970411182532,7828.7929803081315,7383.940414243444,6955.412712988469,6543.209876543209,6147.331904907662,5767.7787980818275,5404.550556065707,5057.647178859299,4727.068666462605,4412.8150188756235,4114.886236098357,3833.2823181308036,3568.0032649729624,3319.0490766248345,3086.41975308642,2870.1152943577185,2670.135700438731,2486.4809713294558,2319.151107029895,2168.1461075400466,2033.4659728599117,1915.1107029894904,1813.0802979287823,1727.3747576777878,1657.9940822365058,1604.9382716049377,1568.2073257830825,1547.8012447709411,1543.7200285685126,1555.9636771757978,1584.5321905927958,1629.4255688195071,1690.643811855932,1768.18691970207,1862.0548923579215,1972.247729823486,2098.765432098764,2241.6079991837555,2400.77543107846,2576.267727782878,2768.0848892970093,2976.2269156208536,3200.6938067544115,3441.485562697683,3698.602183450667,3972.0436690133647,4261.810019385776,4567.9012345679,4890.3173145597375,5229.058259361289,5584.124068972553,5955.51474339353,6343.230282624221,6747.270686664626,7167.63595551474,7604.32608917457,8057.341087644118,8526.680950923375,9012.345679012345,9514.33527191103,10032.649729619428,10567.289052137538,11118.25323946536,11685.542291602898,12269.15620855015,12869.094990307114,13485.35863687379,14117.947148250172,14766.860524436275,15432.098765432092,16113.661871237622,16811.549841852866,17525.762677277824,18256.300377512493,19003.162942556875,19766.350372410972,20545.862667074784,21341.699826548305,22153.86185083154,22982.34873992449,23827.160493827156,24688.29711253953,25565.75859606162,26459.544944393423,27369.65615753494,28296.09223548617,29238.85317824711,30197.938985817767,31173.349658198138,32165.085195388223,33173.14559738802,34197.53086419753],[11799.816345270892,11232.527293133355,10681.56310580553,10146.92378328742,9628.609325579022,9126.619732680338,8640.955004591367,8171.615141312111,7718.600142842566,7281.910009182737,6861.544740332618,6457.504336292214,6069.788797061524,5698.398122640546,5343.332313029282,5004.5913682277305,4682.175288235893,4376.084073053768,4086.3177226813586,3812.8762371186617,3555.7596163656776,3314.967860422406,3090.500969288848,2882.3589429650037,2690.5417814508723,2515.0494847464543,2355.8820528517494,2213.039485766758,2086.52178349148,1976.3289460259152,1882.4609733700638,1804.917865523926,1743.6996224875006,1698.806244260789,1670.2377308437908,1657.9940822365058,1662.0752984389342,1682.4813794510758,1719.2123252729305,1772.2681359044986,1841.64881134578,1927.3543515967747,2029.3847566574827,2147.740026527904,2282.4201612080387,2433.4251606978864,2600.755024997448,2784.4097541067226,2984.38934802571,3200.6938067544115,3433.323130292826,3682.2773186409536,3947.5563717987948,4229.160289766349,4527.0890725436175,4841.342720130598,5171.921232527292,5518.8246097337,5882.052851749821,6261.605958575655,6657.483930211202,7069.686766656463,7498.2144679114335,7943.067033976122,8404.244464850524,8881.74676053464,9375.573921028466,9885.725946332008,10412.202836445262,10955.004591368228,11514.131211100908,12089.582695643303,12681.35904499541,13289.460259157231,13913.886338128765,14554.637281910002,15211.713090500964,15885.113763901636,16574.83930211202,17280.889705132122,18003.264972961937,18741.965105601463,19496.990103050703,20268.339965309657,21056.01469237832,21860.014284256704,22680.338740944793,23516.988062442604,24369.962248750122,25239.261299867354,26124.8852157943,27026.83399653096,27945.107642077335,28879.70615243342,29830.62952759922,30797.877767574733,31781.45087235996,32781.348841954896,33797.571676359556,34830.11937557392],[11632.48648097133,11073.359861238649,10530.558106315682,10004.081216202429,9493.929190898889,9000.10203040506,8522.599734720947,8061.422303846545,7616.569737781858,7188.042036526885,6775.839200081623,6379.961228446076,6000.408121620242,5637.179879604121,5290.276502397714,4959.697990001019,4645.444342414038,4347.51555963677,4065.911641669217,3800.632588511377,3551.678400163249,3319.049076624834,3102.744617896133,2902.765023977145,2719.110294867871,2551.780430568309,2400.775431078461,2266.0952963983264,2147.740026527905,2045.7096214671967,1960.004081216202,1890.6234057749207,1837.567595143352,1800.8366493214971,1780.4305683093555,1776.3493521069272,1788.5930007142122,1817.1615141312104,1862.0548923579217,1923.2731353943464,2000.8162432404845,2094.684215896336,2204.8770533619004,2331.3947556371786,2474.2373227221697,2633.4047546168745,2808.8970513212926,3000.7142128354235,3208.856239159268,3433.323130292826,3674.114886236097,3931.2315069890815,4204.672992551779,4494.43934292419,4800.530558106315,5122.946638098152,5461.687582899703,5816.753392510967,6188.144066931945,6575.859606162636,6979.9000102030395,7400.265279053157,7836.955412712985,8289.970411182529,8759.31027446179,9244.97500255076,9746.964595449444,10265.279053157841,10799.918375675952,11350.882563003775,11918.171615141313,12501.785532088565,13101.724313845527,13717.987960412205,14350.576471788596,14999.48984797469,15664.728088970507,16346.291194776037,17044.17916539128,17758.392000816235,18488.929701050907,19235.79226609529,19998.979695949387,20778.491990613195,21574.32915008672,22386.491174369956,23214.978063462906,24059.78981736557,24920.926436077945,25798.387919600034,26692.174267931838,27602.285481073355,28528.721559024583,29471.482501785526,30430.568309356182,31405.978981736553,32397.714518926638,33405.77492092643,34430.16018773594,35470.87031935516],[11473.319049076625,10922.354861748801,10387.71553923069,9869.401081522294,9367.41148862361,8881.74676053464,8412.406897255381,7959.391898785838,7522.701765126007,7102.33649627589,6698.296092235485,6310.580553004795,5939.1898785838175,5584.124068972553,5245.383124171002,4922.967044179164,4616.87582899704,4327.1094786246285,4053.667993061932,3796.5513723089484,3555.759616365677,3331.292725232119,3123.1506989082745,2931.3335373941436,2755.8412406897255,2596.6738087950207,2453.831241710029,2327.313539434751,2217.1207019691865,2123.252729313335,2045.7096214671967,1984.4913784307719,1939.59800020406,1911.029486787062,1898.7858381797769,1902.8670543822054,1923.2731353943468,1960.0040812162017,2013.0598918477697,2082.440567289051,2168.1461075400457,2270.1765126007535,2388.531782471175,2523.2119171513095,2674.2169166411577,2841.546780940719,3025.2015100499934,3225.1811039689815,3441.485562697683,3674.114886236097,3923.069074584225,4188.348127742066,4469.9520457096205,4767.880828486887,5082.134476073869,5412.712988470563,5759.61636567697,6122.844607693092,6502.3977145189265,6898.275686154473,7310.478522599734,7739.006223854708,8183.858789919393,8645.036220793792,9122.53851647791,9616.365676971738,10126.517702275278,10652.994592388532,11195.7963473115,11754.92296704418,12330.374451586575,12922.150800938682,13530.252015100501,14154.678094072036,14795.429037853282,15452.504846444233,16125.905519844908,16815.631058055296,17521.681461075394,18244.056728905205,18982.756861544734,19737.781858993974,20509.131721252925,21296.806448321593,22100.806040199972,22921.13049688807,23757.779818385872,24610.754004693394,25480.053055810626,26365.676971737572,27267.625752474232,28185.899398020603,29120.497908376692,30071.42128354249,31038.669523518005,32022.242628303233,33022.14059789817,34038.363432302824,35070.91113151719,36119.783695541264],[11322.314049586777,10779.51229466381,10253.035404550556,9742.883379247016,9249.056218753189,8771.553923069074,8310.376492194673,7865.523926129986,7436.996224875012,7024.793388429752,6628.915416794203,6249.36230996837,5886.134067952249,5539.2306907458415,5208.652178349147,4894.398530762166,4596.469747984898,4314.865830017344,4049.5867768595035,3800.6325885113765,3568.0032649729624,3351.6988062442606,3151.719212325273,2968.0644832159983,2800.7346189164373,2649.7296194265887,2515.0494847464543,2396.6942148760327,2294.6638098153244,2208.9582695643294,2139.577594123048,2086.52178349148,2049.790837669625,2029.3847566574832,2025.303540455055,2037.5471890623398,2066.1157024793383,2111.0090807060496,2172.2273237424743,2249.770431588612,2343.6384042444633,2453.8312417100283,2580.348943985306,2723.1915110702976,2882.3589429650024,3057.85123966942,3249.6684011835514,3457.810427507396,3682.2773186409536,3923.069074584225,4180.185695337209,4453.627180899907,4743.393531272318,5049.484746454442,5371.90082644628,5710.641771247831,6065.707580859095,6437.098255280073,6824.813794510764,7228.854198551167,7649.219467401284,8085.909601061116,8538.924599530657,9008.264462809913,9493.929190898889,9995.918783797571,10514.233241505968,11048.87256402408,11599.836751351904,12167.125803489442,12750.739720436692,13350.678502193656,13966.942148760332,14599.530660136723,15248.444036322826,15913.682277318634,16595.245383124166,17293.13335373941,18007.346189164364,18737.883889399032,19484.74645444342,20247.933884297512,21027.446178961323,21823.283338434845,22635.445362718085,23463.932251811035,24308.744005713696,25169.880624426074,26047.342107948163,26941.128456279966,27851.23966942148,28777.675747372712,29720.436690133654,30679.52249770431,31654.93317008468,32646.668707274766,33654.72910927456,34679.114376084064,35719.82450770329,36776.859504132226],[11179.471482501785,10644.832159983675,10126.517702275278,9624.528109376595,9138.863381287623,8669.523518008365,8216.508519538822,7779.818385878991,7359.453117028874,6955.41271298847,6567.697173757779,6196.306499336802,5841.240689725538,5502.499744923986,5180.083664932149,4873.992449750024,4584.2260993776135,4310.784613814915,4053.6679930619316,3812.8762371186617,3588.4093459851038,3380.267319661259,3188.4501581471277,3012.95786144271,2853.7904295480052,2710.9478624630137,2584.4301601877355,2474.2373227221706,2380.3693500663194,2302.826242220181,2241.6079991837564,2196.7146209570446,2168.146107540046,2155.9024589327614,2159.9836751351895,2180.3897561473314,2217.1207019691865,2270.1765126007544,2339.5571880420357,2425.2627282930302,2527.293133353738,2645.648403224159,2780.328537904294,2931.3335373941422,3098.6634016937032,3282.318130802978,3482.297724721966,3698.602183450667,3931.2315069890815,4180.185695337209,4445.46474849505,4727.068666462605,5024.997449239872,5339.2510968268525,5669.829609223548,6016.732986429955,6379.961228446076,6759.514335271911,7155.392306907458,7567.595143352718,7996.122844607692,8440.975410672381,8902.152841546776,9379.655137230891,9873.482297724722,10383.634323028262,10910.111213141516,11452.912968064484,12012.039587797166,12587.491072339559,13179.267421691666,13787.368635853487,14411.79471482502,15052.545658606266,15709.621467197227,16383.022140597892,17072.74767880828,17778.798081828376,18501.17334965819,19239.873482297717,19994.898479746957,20766.24834200591,21553.923069074575,22357.922660952958,23178.24711764105,24014.896439138858,24867.870625446376,25737.16967656361,26622.793592490558,27524.742373227215,28443.01601877359,29377.614529129674,30328.537904295477,31295.78614427099,32279.359249056215,33279.25721865115,34295.480053055806,35328.02775227017,36376.90031629425,37442.09774512805],[11044.79134782165,10518.314457708397,10008.162432404857,9514.33527191103,9036.832976226915,8575.655545352514,8130.802979287827,7702.275278032853,7290.072441587592,6894.194469952045,6514.64136312621,6151.41312111009,5804.509743903683,5473.931231506988,5159.677583920007,4861.7488011427395,4580.144883175185,4314.865830017344,4065.911641669217,3833.282318130803,3616.9778594021022,3416.9982654831138,3233.343536373839,3066.013672074278,2915.0086725844303,2780.328537904295,2661.973268033874,2559.9428629731656,2474.2373227221706,2404.8566472808893,2351.800836649321,2315.069890827466,2294.6638098153244,2290.582593612896,2302.826242220181,2331.3947556371795,2376.288133863891,2437.5063769003154,2515.0494847464533,2608.917457402305,2719.110294867869,2845.6279971431472,2988.4705642281388,3147.637996122843,3323.130292827261,3514.9474543413926,3723.089480665237,3947.5563717987948,4188.348127742066,4445.46474849505,4718.9062340577475,5008.672584430159,5314.763799612283,5637.17987960412,5975.920824405673,6330.9866340169365,6702.377308437914,7090.092847668605,7494.133251709009,7914.498520559126,8351.188654218957,8804.203652688502,9273.543515967755,9759.208244056726,10261.197836955413,10779.51229466381,11314.15161718192,11865.115804509745,12432.404856647283,13016.018773594533,13615.957555351497,14232.221201918173,14864.809713294562,15513.723089480667,16178.961330476484,16860.524436282005,17558.41240689725,18272.625242322203,19003.162942556875,19750.025507601258,20513.212937455355,21292.725232119163,22088.562391592688,22900.724415875924,23729.211304968874,24574.02305887154,25435.159677583913,26312.621161106006,27206.407509437806,28116.518722579323,29042.95480053055,29985.715743291497,30944.801550862154,31920.212223242524,32911.94776043261,33920.0081624324,34944.393429241914,35985.103560861135,37042.13855729007,38115.49841852872],[10918.273645546373,10399.959187837976,9897.969594939292,9412.304866850322,8942.965003571064,8489.95000510152,8053.259871441689,7632.894602591571,7228.854198551167,6841.138659320477,6469.747984899499,6114.682175288235,5775.941230486685,5453.5251504948465,5147.4339353127225,4857.667584940311,4584.2260993776135,4327.1094786246285,4086.317722681358,3861.8508315478016,3653.708805223957,3461.891643709825,3286.3993470054074,3127.231915110703,2984.3893480257116,2857.8716457504333,2747.6788082848684,2653.8108356290168,2576.267727782879,2515.049484746454,2470.1561065197425,2441.587593102744,2429.3439444954593,2433.4251606978873,2453.831241710029,2490.562187531884,2543.6179981634523,2612.998673604734,2698.704213855728,2800.734618916436,2919.089888786857,3053.770023466992,3204.7750229568396,3372.104887256401,3555.759616365676,3755.7392102846634,3972.0436690133647,4204.672992551779,4453.627180899907,4718.9062340577475,5000.510152025302,5298.43893480257,5612.692582389551,5943.271094786245,6290.174471992654,6653.402714008774,7032.955820834608,7428.8337924701555,7841.036628915416,8269.564330170391,8714.416896235078,9175.59432710948,9653.09662279359,10146.923783287417,10657.07580859096,11183.552698704214,11726.354453627182,12285.481073359862,12860.932557902257,13452.708907254364,14060.810121416183,14685.236200387717,15325.987144168965,15983.062952759925,16656.4636261606,17346.189164370975,18052.239567391076,18774.61483522089,19513.314967860417,20268.339965309657,21039.689827568607,21827.364554637275,22631.364146515654,23451.688603203747,24288.337924701555,25141.312111009076,26010.611162126308,26896.235078053254,27798.183858789915,28716.457504336286,29651.056014692374,30601.979389858174,31569.227629833687,32552.80073461891,33552.69870421385,34568.9215386185,35601.46923783288,36650.34180185695,37715.539230690745,38797.06152433425],[10799.918375675952,10289.76635037241,9795.939189878583,9318.43689419447,8857.25946332007,8412.406897255381,7983.879196000407,7571.6763595551465,7175.798387919599,6796.245281093766,6433.017039077644,6086.113661871237,5755.535149474543,5441.281501887562,5143.352719110294,4861.7488011427395,4596.469747984898,4347.51555963677,4114.886236098357,3898.5817773696563,3698.6021834506682,3514.9474543413935,3347.617590041832,3196.6125905519843,3061.93245587185,2943.577186001428,2841.54678094072,2755.841240689725,2686.4605652484433,2633.4047546168754,2596.6738087950207,2576.267727782879,2572.1865115804503,2584.4301601877355,2612.9986736047335,2657.8920518314453,2719.11029486787,2796.6534027140087,2890.521375369859,3000.714212835424,3127.231915110702,3270.074482195693,3429.2419140903976,3604.7342107948157,3796.5513723089466,4004.6933986327913,4229.160289766349,4469.9520457096205,4727.068666462605,5000.510152025302,5290.276502397713,5596.3677175798375,5918.783797571676,6257.524742373226,6612.590551984491,6983.981226405468,7371.6967656361585,7775.737169676563,8196.102438526681,8632.792572186512,9085.807570656056,9555.147433935312,10040.81216202428,10542.801754922964,11061.116212631365,11595.755535149476,12146.719722477299,12714.008774614837,13297.622691562088,13897.56147331905,14513.825119885727,15146.413631262118,15795.32700744822,16460.56524844404,17142.12835424957,17840.016324864802,18554.22916028976,19284.76686052443,20031.62942556881,20794.81685542291,21574.32915008672,22370.16630956024,23182.328333843478,24010.815222936428,24855.626976839092,25716.76359555147,26594.225079073556,27488.011427405363,28398.122640546877,29324.55871849811,30267.31966125905,31226.405468829707,32201.816141210078,33193.55167840016,34201.61208039995,35225.997347209464,36266.707478828685,37323.74247525762,38397.102336496275,39486.78706254464],[10689.725538210387,10187.735945311702,9702.071217222732,9232.731353943476,8779.71635547393,8343.0262218141,7922.660952963983,7518.620548923578,7130.905009692888,6759.514335271911,6404.448525660646,6065.707580859095,5743.291500867258,5437.200285685133,5147.4339353127225,4873.992449750024,4616.87582899704,4376.084073053768,4151.617181920212,3943.4751555963676,3751.6579940822367,3576.165697377818,3416.9982654831138,3274.1556983981227,3147.6379961228445,3037.4451586572795,2943.577186001428,2866.03407815529,2804.815835118865,2759.9224568921536,2731.353943475155,2719.11029486787,2723.1915110702985,2743.5975920824403,2780.328537904295,2833.3843485358634,2902.7650239771447,2988.4705642281397,3090.500969288847,3208.8562391592686,3343.5363738394026,3494.5413733292507,3661.871237628812,3845.5259667380865,4045.5055606570745,4261.810019385776,4494.43934292419,4743.393531272318,5008.672584430159,5290.276502397713,5588.20528517498,5902.458932761962,6233.037445158657,6579.9408223650635,6943.169064381185,7322.722171207019,7718.600142842566,8130.802979287828,8559.330680542802,9004.18324660749,9465.360677481889,9942.862973166004,10436.690133659828,10946.842158963369,11473.319049076626,12016.120803999593,12575.247423732273,13150.698908274668,13742.475257626775,14350.576471788594,14975.002550760128,15615.753494541375,16272.829303132337,16946.22997653301,17635.955514743397,18342.005917763487,19064.381185593298,19803.081318232827,20558.106315682067,21329.45617794102,22117.130905009686,22921.130496888065,23741.454953576158,24578.104275073965,25431.078461381487,26300.37751249872,27186.001428425665,28087.950209162325,29006.2238547087,29940.822365064785,30891.745740230584,31858.993980206098,32842.56708499132,33842.46505458626,34858.68788899091,35891.23558820528,36940.10815222936,38005.30558106315,39086.82787470666,40184.675033159874],[10587.695133149678,10093.867972655851,9616.365676971738,9155.188246097337,8710.33568003265,8281.807978777675,7869.605142332414,7473.727170696867,7094.174063871033,6730.9458218549125,6384.042444648504,6053.463932251811,5739.2102846648295,5441.281501887562,5159.677583920007,4894.398530762166,4645.444342414038,4412.8150188756235,4196.510560146923,3996.530966227936,3812.8762371186613,3645.5463728191,3494.5413733292517,3359.8612386491172,3241.505968778696,3139.4755637179874,3053.770023466993,2984.389348025711,2931.3335373941427,2894.602591572288,2874.1965105601466,2870.115294357718,2882.358942965003,2910.9274563820013,2955.820834608713,3017.039077645138,3094.5821854912756,3188.4501581471277,3298.6429956126917,3425.1606978879695,3568.003264972961,3727.1706968676654,3902.662993572083,4094.4801550862144,4302.622181410059,4527.0890725436175,4767.880828486887,5024.997449239872,5298.43893480257,5588.20528517498,5894.296500357105,6216.712580348943,6555.453525150494,6910.519334761758,7281.910009182736,7669.625548413426,8073.665952453831,8494.031221303949,8930.72135496378,9383.736353433324,9853.07621671258,10338.74094480155,10840.730537700232,11359.044995408629,11893.684317926743,12444.648505254567,13011.937557392104,13595.551474339354,14195.490256096318,14811.753902662995,15444.342414039385,16093.25579022549,16758.494031221308,17440.057137026837,18137.94510764208,18852.157943067024,19582.695643301697,20329.55820834608,21092.745638200176,21872.257932863988,22668.09509233751,23480.257116620745,24308.744005713696,25153.55575961636,26014.692378328735,26892.153861850828,27785.940210182627,28696.05142332415,29622.487501275376,30565.24844403632,31524.334251606975,32499.744923987342,33491.48046117742,34499.54086317722,35523.926129986736,36564.636261605956,37621.67125803489,38695.03111927354,39784.7158453219,40890.72543617998],[10493.827160493827,10008.162432404857,9538.8225691256,9085.807570656056,8649.117436996225,8228.752168146108,7824.711764105703,7436.996224875012,7065.6055504540345,6710.539740842771,6371.798796041219,6049.382716049382,5743.291500867258,5453.5251504948465,5180.083664932149,4922.967044179164,4682.175288235893,4457.708397102335,4249.566370778492,4057.7492092643606,3882.256912559943,3723.0894806652377,3580.2469135802467,3453.729211304969,3343.536373839404,3249.6684011835523,3172.125293337414,3110.9070503009893,3066.0136720742776,3037.4451586572795,3025.201510049995,3029.282726252423,3049.6888072645643,3086.4197530864194,3139.475563717988,3208.856239159269,3294.5617794102636,3396.592184470972,3514.9474543413926,3649.6275890215275,3800.6325885113756,3967.962452810936,4151.617181920211,4351.596775839199,4567.9012345679,4800.530558106315,5049.484746454442,5314.763799612283,5596.3677175798375,5894.296500357105,6208.550147944086,6539.128660340781,6886.032037547188,7249.260279563308,7628.8133863891435,8024.691358024691,8436.894194469953,8865.421895724927,9310.274461789613,9771.451892664014,10248.954188348127,10742.781348841956,11252.933374145492,11779.410264258746,12322.212019181718,12881.338638914398,13456.79012345679,14048.566472808898,14656.667686970719,15281.093765942253,15921.8447097235,16578.92051831446,17252.321191715135,17942.04672992552,18648.09713294562,19370.472400775427,20109.17253341495,20864.197530864192,21635.547393123146,22423.22212019181,23227.22171207019,24047.546168758283,24884.19549025609,25737.169676563608,26606.468727680844,27492.09264360779,28394.04142434445,29312.315069890825,30246.91358024691,31197.83695541271,32165.08519538822,33148.65830017345,34148.556269768385,35164.77910417304,36197.326803387405,37246.199367411486,38311.39679624527,39392.91908988878,40490.766248342,41604.93827160494],[10408.121620242833,9930.619324558718,9469.441893684318,9024.589327619631,8596.061626364657,8183.858789919395,7787.980818283848,7408.427711458014,7045.199469441893,6698.296092235486,6367.717579838791,6053.463932251811,5755.535149474543,5473.931231506988,5208.652178349147,4959.697990001019,4727.068666462605,4510.764207733903,4310.784613814916,4127.129884705642,3959.800020406081,3808.7950209162327,3674.114886236098,3555.7596163656767,3453.729211304969,3368.0236710539734,3298.642995612692,3245.5871849811238,3208.8562391592686,3188.4501581471277,3184.368941944699,3196.612590551984,3225.1811039689824,3270.074482195694,3331.2927252321188,3408.835833078257,3502.7038057341088,3612.8966431996732,3739.4143454749506,3882.256912559942,4041.4243444546464,4216.916641159064,4408.733802673196,4616.87582899704,4841.342720130598,5082.134476073869,5339.2510968268525,5612.692582389551,5902.458932761962,6208.550147944086,6530.966227935924,6869.707172737475,7224.772982348739,7596.163656769716,7983.879196000408,8387.919600040812,8808.28486889093,9244.97500255076,9697.990001020304,10167.329864299561,10652.994592388532,11154.984185287216,11673.298642995609,12207.93796551372,12758.902152841549,13326.191204979084,13909.805121926334,14509.743903683298,15126.007550249977,15758.596061626367,16407.50943781247,17072.747678808286,17754.31078461382,18452.19875522906,19166.411590654017,19896.949290888675,20643.81185593306,21406.99928578716,22186.51158045097,22982.34873992449,23794.510764207727,24622.997653300677,25467.80940720334,26328.946025915717,27206.407509437806,28100.193857769613,29010.305070911127,29936.74114886236,30879.5020916233,31838.587899193953,32813.998571574324,33805.73410876441,34813.7945107642,35838.179777573714,36878.889909192934,37935.92490562187,39009.284766860525,40098.96949290889,41204.97908376696,42327.31353943475],[10330.578512396694,9861.238649117437,9408.223650647893,8971.533516988064,8551.168248137945,8147.12784409754,7759.41230486685,7388.021630445872,7032.955820834608,6694.214876033057,6371.798796041219,6065.707580859095,5775.941230486685,5502.499744923986,5245.383124171002,5004.5913682277305,4780.124477094173,4571.982450770328,4380.165289256198,4204.67299255178,4045.505560657076,3902.662993572084,3776.145291296806,3665.9524538312417,3572.08448117539,3494.5413733292517,3433.323130292827,3388.4297520661153,3359.861238649117,3347.617590041832,3351.6988062442606,3372.104887256402,3408.835833078257,3461.891643709825,3531.272319151107,3616.977859402102,3719.00826446281,3837.3635343332307,3972.043669013365,4123.048668503213,4290.378532802774,4474.033261912049,4674.012855831037,4890.3173145597375,5122.946638098152,5371.90082644628,5637.17987960412,5918.783797571676,6216.712580348943,6530.966227935924,6861.544740332618,7208.448117539026,7571.6763595551465,7951.229466380981,8347.107438016528,8759.31027446179,9187.837975716764,9632.69054178145,10093.867972655851,10571.370268339966,11065.197428833793,11575.349454137333,12101.826344250583,12644.628099173551,13203.754718906235,13779.206203448628,14370.982552800735,14979.083766962556,15603.509845934092,16244.260789715338,16901.336598306298,17574.73727170697,18264.462809917357,18970.513212937458,19692.88848076727,20431.58861340679,21186.613610856028,21957.96347311498,22745.638200183646,23549.63779206203,24369.962248750122,25206.611570247926,26059.585756555447,26928.88480767268,27814.50872359963,28716.45750433629,29634.73114988266,30569.32966023875,31520.253035404545,32487.50127538006,33471.074380165286,34470.972349760224,35487.19518416488,36519.742883379244,37568.615447403325,38633.81287623711,39715.33516988062,40813.182328333845,41927.354351596776,43057.85123966942],[10261.197836955413,9800.020406081012,9355.167840016325,8926.640138761351,8514.43730231609,8118.559330680542,7739.006223854708,7375.777981838587,7028.874604632179,6698.296092235486,6384.042444648504,6086.113661871237,5804.509743903683,5539.2306907458415,5290.276502397714,5057.647178859299,4841.342720130598,4641.36312621161,4457.708397102336,4290.378532802775,4139.373533312927,4004.693398632792,3886.338128762371,3784.307723701663,3698.6021834506682,3629.2215080093865,3576.165697377818,3539.4347515559634,3519.0286705438216,3514.9474543413935,3527.1911029486782,3555.7596163656763,3600.652994592388,3661.871237628813,3739.4143454749515,3833.282318130803,3943.4751555963676,4069.9928578716454,4212.835424956636,4372.002856851341,4547.495153555758,4739.31231506989,4947.4543413937345,5171.921232527292,5412.712988470563,5669.829609223548,5943.271094786245,6233.037445158657,6539.128660340781,6861.544740332618,7200.2856851341685,7555.351494745433,7926.742169166411,8314.457708397102,8718.498112437506,9138.863381287623,9575.553514947454,10028.568513416998,10497.908376696256,10983.573104785228,11485.56269768391,12003.877155392307,12538.516477910414,13089.480665238238,13656.769717375779,14240.383634323029,14840.322416079993,15456.586062646671,16089.174574023062,16738.087950209163,17403.326191204982,18084.88929701051,18782.777267625755,19496.99010305071,20227.527803285382,20974.390368329754,21737.57779818385,22517.090092847662,23312.927252321184,24125.089276604424,24953.57616569737,25798.387919600034,26659.52453831241,27536.986021834502,28430.772370166305,29340.883583307823,30267.31966125905,31210.080604019993,32169.16641159065,33144.57708397102,34136.3126211611,35144.37302316089,36168.75828997041,37209.46842158963,38266.50341801856,39339.86327925722,40429.54800530558,41535.55759616365,42657.89205183144,43796.551372308946],[10199.979593918988,9746.964595449444,9310.274461789613,8889.909192939496,8485.868788899092,8098.1532496684,7726.762575247423,7371.6967656361585,7032.955820834608,6710.539740842771,6404.448525660646,6114.682175288235,5841.240689725538,5584.124068972553,5343.332313029282,5118.865421895724,4910.723395571879,4718.9062340577475,4543.413937353331,4384.246505458626,4241.403938373635,4114.886236098357,4004.693398632792,3910.825425976941,3833.282318130803,3772.0640750943776,3727.1706968676663,3698.6021834506682,3686.3585348433826,3690.439751045811,3710.845832057953,3747.576777879808,3800.632588511376,3870.013263952658,3955.718804203653,4057.7492092643606,4176.104479134782,4310.784613814917,4461.789613304763,4629.119477604325,4812.7742067136,5012.753800632588,5229.058259361289,5461.687582899703,5710.641771247831,5975.920824405673,6257.524742373226,6555.453525150494,6869.707172737475,7200.2856851341685,7547.189062340576,7910.417304356698,8289.970411182532,8685.84838281808,9098.05121926334,9526.578920518314,9971.431486583002,10432.608917457403,10910.111213141518,11403.938373635345,11914.090398938884,12440.567289052138,12983.3690439751,13542.495663707783,14117.94714825018,14709.723497602286,15317.824711764108,15942.250790735641,16583.00173451689,17240.07754310785,17913.47821650852,18603.20375471891,19309.254157739007,20031.629425568823,20770.32955820835,21525.354555657577,22296.70441791653,23084.3791449852,23888.378736863582,24708.70319355167,25545.35251504948,26398.326701356997,27267.625752474232,28153.24966840118,29055.19844913784,29973.472094684214,30908.070605040295,31858.993980206098,32826.24222018161,33809.81532496684,34809.71329456178,35825.93612896642,36858.48382818079,37907.35639220487,38972.553821038666,40054.076114682175,41151.92327313539,42266.09529639833,43396.59218447097,44543.41393735333],[10146.92378328742,9702.071217222732,9273.543515967758,8861.340679522498,8465.46270788695,8085.909601061116,7722.681359044995,7375.777981838587,7045.199469441893,6730.9458218549125,6433.017039077644,6151.41312111009,5886.134067952249,5637.179879604121,5404.550556065707,5188.246097337005,4988.266503418017,4804.6117743087425,4637.281910009182,4486.276910519335,4351.5967758392,4233.241505968778,4131.211100908071,4045.505560657076,3976.124885215794,3923.0690745842257,3886.3381287623706,3865.9320477502292,3861.850831547801,3874.094480155086,3902.662993572084,3947.556371798796,4008.7746148352207,4086.317722681359,4180.18569533721,4290.378532802775,4416.896235078053,4559.738802163045,4718.906234057748,4894.398530762166,5086.215692276297,5294.357718600142,5518.8246097337,5759.61636567697,6016.732986429955,6290.174471992654,6579.9408223650635,6886.032037547188,7208.448117539026,7547.189062340576,7902.254871951841,8273.645546372818,8661.36108560351,9065.401489643913,9485.76675849403,9922.456892153861,10375.471890623407,10844.811753902664,11330.476481991635,11832.466074890319,12350.780532598716,12885.419855116827,13436.384042444646,14003.673094582184,14587.287011529437,15187.225793286401,15803.489439853078,16436.07795122947,17084.991327415573,17750.22956841139,18431.792674216922,19129.680644832162,19843.89348025712,20574.43118049179,21321.29374553617,22084.48117539026,22863.99347005407,23659.830629527594,24471.992653810827,25300.47954290378,26145.29129680644,27006.42791551882,27883.88939904091,28777.675747372712,29687.78696051423,30614.223038465458,31556.9839812264,32516.06978879706,33491.48046117743,34483.21599836751,35491.27640036731,36515.66166717681,37556.37179879603,38613.406795224975,39686.766656463624,40776.45138251199,41882.46097337006,43004.795429037855,44143.45474951535,45298.43893480257],[10102.030405060708,9665.340271400877,9244.97500255076,8840.934598510357,8453.219059279665,8081.828384858687,7726.762575247423,7388.021630445872,7065.6055504540345,6759.514335271911,6469.747984899499,6196.306499336802,5939.1898785838175,5698.398122640546,5473.931231506988,5265.789205183143,5073.972043669012,4898.479746964595,4739.31231506989,4596.469747984899,4469.952045709621,4359.759208244057,4265.891235588205,4188.348127742067,4127.129884705642,4082.23650647893,4053.667993061932,4041.4243444546473,4045.505560657076,4065.911641669217,4102.642587491072,4155.69839812264,4225.079073563922,4310.784613814916,4412.815018875624,4531.170288746046,4665.850423426181,4816.855422916029,4984.18528721559,5167.840016324863,5367.8196102438515,5584.124068972553,5816.753392510967,6065.707580859095,6330.9866340169365,6612.590551984491,6910.519334761758,7224.772982348739,7555.351494745433,7902.254871951841,8265.483113967963,8645.036220793796,9040.914192429344,9453.117028874603,9881.644730129578,10326.497296194266,10787.674727068668,11265.177022752781,11759.004183246609,12269.15620855015,12795.633098663402,13338.434853586368,13897.561473319047,14473.01295786144,15064.789307213552,15672.890521375371,16297.316600346905,16938.067544128153,17595.14335271911,18268.544026119787,18958.26956433017,19664.319967350275,20386.695235180086,21125.395367819612,21880.420365268852,22651.7702275278,23439.444954596464,24243.444546474842,25063.76900316294,25900.418324660743,26753.392510968264,27622.691562085496,28508.315478012442,29410.264258749103,30328.537904295474,31263.136414651563,32214.059789817362,33181.308029792875,34164.8811345781,35164.77910417304,36181.00193857769,37213.54963779206,38262.42220181614,39327.61963064993,40409.141924293435,41506.98908274666,42621.16110600959,43751.65799408224,44898.4797469646,46061.626364656666],[10065.299459238853,9636.771757983879,9224.56892153862,8828.690949903072,8449.137843077237,8085.909601061116,7739.006223854708,7408.427711458014,7094.174063871033,6796.245281093766,6514.64136312621,6249.36230996837,6000.408121620242,5767.7787980818275,5551.474339353126,5351.494745434138,5167.840016324864,5000.510152025302,4849.505152535455,4714.825017855321,4596.4697479849,4494.439342924191,4408.733802673196,4339.353127231915,4286.297316600347,4249.566370778492,4229.160289766351,4225.079073563922,4237.322722171207,4265.891235588205,4310.784613814917,4372.002856851342,4449.54596469748,4543.413937353331,4653.606774818896,4780.124477094174,4922.967044179166,5082.13447607387,5257.626772778287,5449.443934292418,5657.585960616262,5882.052851749821,6122.844607693092,6379.961228446076,6653.402714008774,6943.169064381185,7249.260279563308,7571.6763595551465,7910.417304356698,8265.483113967963,8636.87378838894,9024.58932761963,9428.629731660034,9848.995000510151,10285.685134169982,10738.700132639528,11208.039995918785,11693.704724007755,12195.69431690644,12714.008774614837,13248.648097132946,13799.61228446077,14366.901336598303,14950.515253545555,15550.454035302522,16166.717681869199,16799.30619324559,17448.21956943169,18113.45781042751,18795.02091623304,19492.908886848287,20207.12172227324,20937.65942250791,21684.521987552293,22447.70941740639,23227.22171207019,24023.05887154371,24835.22089582695,25663.707784919898,26508.519538822566,27369.65615753494,28247.11764105703,29140.903989388833,30051.015202530347,30977.45128048158,31920.212223242524,32879.29803081318,33854.708703193544,34846.44424038363,35854.50464238343,36878.889909192934,37919.60004081216,38976.635037241096,40049.994898479745,41139.67962452811,42245.689215386185,43368.023671053976,44506.682991531474,45661.66717681869,46832.97622691562],[10036.730945821855,9616.365676971738,9212.325272931334,8824.609733700643,8453.219059279665,8098.1532496684,7759.41230486685,7436.996224875012,7130.905009692888,6841.138659320477,6567.697173757779,6310.580553004795,6069.788797061524,5845.321905927965,5637.179879604121,5445.362718089989,5269.870421385572,5110.702989490867,4967.860422405876,4841.3427201305985,4731.149882665034,4637.281910009182,4559.738802163045,4498.520559126619,4453.627180899908,4425.05866748291,4412.815018875624,4416.896235078053,4437.302316090195,4474.03326191205,4527.089072543618,4596.469747984899,4682.175288235894,4784.2056932966025,4902.560963167024,5037.241097847159,5188.246097337007,5355.575961636568,5539.2306907458415,5739.210284664829,5955.51474339353,6188.144066931945,6437.098255280073,6702.377308437914,6983.981226405468,7281.910009182736,7596.163656769716,7926.742169166411,8273.645546372818,8636.87378838894,9016.426895214774,9412.30486685032,9824.507703295581,10253.035404550556,10697.887970615244,11159.065401489645,11636.56769717376,12130.394857667587,12640.546882971126,13167.02377308438,13709.825528007346,14268.952147740027,14844.403632282418,15436.179981634525,16044.28119579635,16668.707274767883,17309.45821854913,17966.534027140093,18639.93470054076,19329.660238751152,20035.71064177125,20758.085909601064,21496.78604224059,22251.81103968983,23023.160901948784,23810.83562901744,24614.83522089582,25435.159677583913,26271.808999081724,27124.783185389242,27994.082236506474,28879.70615243342,29781.654933170077,30699.92857871645,31634.52708907254,32585.45046423834,33552.69870421385,34536.271808999074,35536.16977859402,36552.392612998665,37584.94031221304,38633.81287623712,39699.01030507091,40780.53259871442,41878.37975716763,42992.55178043057,44123.048668503216,45269.87042138557,46433.01703907765,47612.48852157943],[10016.324864809714,9604.122028364452,9208.244056728905,8828.690949903072,8465.46270788695,8118.559330680542,7787.980818283848,7473.727170696867,7175.798387919599,6894.194469952045,6628.915416794203,6379.961228446076,6147.331904907662,5931.02744617896,5731.047852259973,5547.393123150698,5380.063258851137,5229.058259361289,5094.378124681154,4976.022854810733,4873.992449750025,4788.286909499031,4718.906234057749,4665.850423426181,4629.119477604327,4608.713396592184,4604.632180389755,4616.875828997041,4645.444342414039,4690.337720640751,4751.555963677176,4829.099071523314,4922.967044179166,5033.15988164473,5159.677583920008,5302.520151005,5461.6875828997045,5637.179879604122,5828.997041118252,6037.139067442096,6261.605958575655,6502.3977145189265,6759.514335271911,7032.955820834608,7322.722171207019,7628.8133863891435,7951.229466380981,8289.970411182532,8645.036220793796,9016.426895214774,9404.142434445464,9808.182838485867,10228.548107335986,10665.238240995817,11118.25323946536,11587.593102744619,12073.25783083359,12575.247423732273,13093.56188144067,13628.20120395878,14179.165391286604,14746.454443424143,15330.068360371388,15930.007142128352,16546.270788695034,17178.859300071425,17827.77267625753,18493.01091725334,19174.574023058874,19872.46199367412,20586.674829099073,21317.212529333745,22064.075094378128,22827.262524232225,23606.774818896036,24402.611978369547,25214.774002652783,26043.260891745736,26888.072645648397,27749.209264360776,28626.670747882865,29520.457096214664,30430.568309356182,31357.004387307414,32299.765330068356,33258.85113763901,34234.26181001938,35225.997347209464,36234.057749209256,37258.44301601877,38299.153147638,39356.188144066924,40429.54800530558,41519.23273135394,42625.24232221202,43747.57677787981,44886.23609835731,46041.22028364452,47212.52933374145,48400.163248648096],[10004.081216202429,9600.040812162024,9212.325272931334,8840.934598510357,8485.868788899092,8147.12784409754,7824.711764105703,7518.620548923578,7228.854198551167,6955.41271298847,6698.296092235485,6457.504336292214,6233.037445158657,6024.8954188348125,5833.078257320681,5657.585960616263,5498.418528721559,5355.575961636567,5229.058259361289,5118.865421895725,5024.997449239874,4947.454341393735,4886.236098357311,4841.3427201305985,4812.7742067136005,4800.530558106315,4804.611774308743,4825.017855320886,4861.74880114274,4914.804611774309,4984.1852872155905,5069.890827466585,5171.921232527293,5290.276502397715,5424.956637077849,5575.9616365676975,5743.291500867259,5926.946229976534,6126.92582389552,6343.230282624221,6575.859606162636,6824.813794510764,7090.092847668605,7371.6967656361585,7669.625548413426,7983.879196000408,8314.457708397102,8661.36108560351,9024.58932761963,9404.142434445464,9800.020406081012,10212.223242526272,10640.750943781248,11085.603509845934,11546.780940720335,12024.28323640445,12518.110396898277,13028.262422201817,13554.73931231507,14097.541067238039,14656.667686970719,15232.119171513114,15823.895520865215,16431.996735027034,17056.42281399857,17697.173757779823,18354.24956637078,19027.650239771458,19717.37577798184,20423.42618100194,21145.801448831757,21884.501581471282,22639.526578920522,23410.876441179476,24198.55116824814,25002.550760126513,25822.875216814606,26659.524538312413,27512.49872461993,28381.797775737166,29267.42169166411,30169.37047240077,31087.644117947144,32022.24262830323,32973.16600346903,33940.41424344454,34923.98734822977,35923.88531782471,36940.10815222936,37972.65585144373,39021.52841546781,40086.7258443016,41168.248137945106,42266.09529639833,43380.26731966126,44510.764207733904,45657.58596061626,46820.732578308336,48000.20406081012,49196.00040812162],[10000.0,9604.122028364452,9224.56892153862,8861.340679522498,8514.43730231609,8183.858789919395,7869.605142332414,7571.6763595551465,7290.072441587592,7024.793388429752,6775.839200081623,6543.209876543209,6326.905417814509,6126.92582389552,5943.271094786246,5775.941230486685,5624.9362309968365,5490.256096316702,5371.900826446281,5269.870421385573,5184.1648811345785,5114.784205693297,5061.728395061728,5024.997449239874,5004.591368227731,5000.510152025303,5012.7538006325885,5041.322314049587,5086.215692276298,5147.433935312723,5224.977043158861,5318.8450158147125,5429.037853280278,5555.555555555557,5698.398122640547,5857.565554535252,6033.0578512396705,6224.8750127538015,6433.017039077645,6657.483930211202,6898.275686154473,7155.392306907458,7428.8337924701555,7718.600142842566,8024.691358024691,8347.107438016528,8685.84838281808,9040.914192429344,9412.30486685032,9800.020406081012,10204.060810121417,10624.426078971534,11061.116212631365,11514.131211100908,11983.471074380166,12469.135802469136,12971.12539536782,13489.439853076217,14024.079175594328,14575.043362922153,15142.332415059689,15725.94633200694,16325.8851137639,16942.148760330576,17574.73727170697,18223.650647893075,18888.888888888894,19570.45199469442,20268.339965309664,20982.552800734622,21713.090500969294,22459.953066013677,23223.140495867774,24002.65279053158,24798.489950005107,25610.651974288332,26439.138863381282,27283.950617283946,28145.087235996325,29022.54871951841,29916.335067850214,30826.44628099173,31752.88235894296,32695.6433017039,33654.72910927456,34630.13978165493,35621.875318845014,36629.935720844805,37654.32098765432,38695.03111927354,39752.06611570248,40825.42597694113,41915.11070298949,43021.12029384757,44143.45474951535,45282.11406999286,46437.09825528007,47608.407305377,48796.041220283645,50000.0]],"colorbar":{"len":480,"lenmode":"pixels","y":0.0,"yanchor":"bottom"},"colorscale":"Viridis"},{"type":"scatter","name":"Global Minima","mode":"markers","x":[0.0],"y":[0.0],"marker":{"symbol":"diamond","size":10,"line":{"width":3.0,"color":"rgba(255, 0, 255, 1.0)"},"color":"rgba(255, 255, 255, 1.0)"}}],"layout":{"title":{"text":"Function: schwefel2"},"width":800,"height":800,"xaxis":{"title":{"text":"X"}},"yaxis":{"title":{"text":"Y"}}},"config":{},"frames":null}