TeorĆ­a

lm() es la función de R para ajustar modelos lineales. Es el modelo estadístico mÔs bÔsico que existe y mÔs fÔcil de interpretar. Para interpretarlo se usa la medida R-cuadrada, que significa qué tan cerca estÔn los datos (va de 0 a 1, donde 1 es que el modelo explica toda la variabilidad).

Importar base de datos

#file.choose()
df <- read.csv("/Users/monicagonzalez/Downloads/rentadebicis.csv")
summary(df)
##       hora            dia              mes              aƱo      
##  Min.   : 0.00   Min.   : 1.000   Min.   : 1.000   Min.   :2011  
##  1st Qu.: 6.00   1st Qu.: 5.000   1st Qu.: 4.000   1st Qu.:2011  
##  Median :12.00   Median :10.000   Median : 7.000   Median :2012  
##  Mean   :11.54   Mean   : 9.993   Mean   : 6.521   Mean   :2012  
##  3rd Qu.:18.00   3rd Qu.:15.000   3rd Qu.:10.000   3rd Qu.:2012  
##  Max.   :23.00   Max.   :19.000   Max.   :12.000   Max.   :2012  
##     estacion     dia_de_la_semana     asueto         temperatura   
##  Min.   :1.000   Min.   :1.000    Min.   :0.00000   Min.   : 0.82  
##  1st Qu.:2.000   1st Qu.:2.000    1st Qu.:0.00000   1st Qu.:13.94  
##  Median :3.000   Median :4.000    Median :0.00000   Median :20.50  
##  Mean   :2.507   Mean   :4.014    Mean   :0.02857   Mean   :20.23  
##  3rd Qu.:4.000   3rd Qu.:6.000    3rd Qu.:0.00000   3rd Qu.:26.24  
##  Max.   :4.000   Max.   :7.000    Max.   :1.00000   Max.   :41.00  
##  sensacion_termica    humedad       velocidad_del_viento
##  Min.   : 0.76     Min.   :  0.00   Min.   : 0.000      
##  1st Qu.:16.66     1st Qu.: 47.00   1st Qu.: 7.002      
##  Median :24.24     Median : 62.00   Median :12.998      
##  Mean   :23.66     Mean   : 61.89   Mean   :12.799      
##  3rd Qu.:31.06     3rd Qu.: 77.00   3rd Qu.:16.998      
##  Max.   :45.45     Max.   :100.00   Max.   :56.997      
##  rentas_de_no_registrados rentas_de_registrados rentas_totales 
##  Min.   :  0.00           Min.   :  0.0         Min.   :  1.0  
##  1st Qu.:  4.00           1st Qu.: 36.0         1st Qu.: 42.0  
##  Median : 17.00           Median :118.0         Median :145.0  
##  Mean   : 36.02           Mean   :155.6         Mean   :191.6  
##  3rd Qu.: 49.00           3rd Qu.:222.0         3rd Qu.:284.0  
##  Max.   :367.00           Max.   :886.0         Max.   :977.0

Entender la relación entre la Temperatura y la renta de bicicletas

plot(df$temperatura,df$rentas_totales, main="Influencia de la Temperatura sobre las Rentas Totales",xlab="Temperatura (°C)", ylab="Cantidad")

Generar regresión lineal

regresion <- lm(rentas_totales ~ hora + dia + mes + aƱo + estacion + dia_de_la_semana + asueto + temperatura + sensacion_termica + humedad + velocidad_del_viento, data=df)
summary(regresion)
## 
## Call:
## lm(formula = rentas_totales ~ hora + dia + mes + aƱo + estacion + 
##     dia_de_la_semana + asueto + temperatura + sensacion_termica + 
##     humedad + velocidad_del_viento, data = df)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -305.52  -93.64  -27.70   61.85  649.10 
## 
## Coefficients:
##                        Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          -1.661e+05  5.496e+03 -30.217  < 2e-16 ***
## hora                  7.735e+00  2.070e-01  37.368  < 2e-16 ***
## dia                   3.844e-01  2.482e-01   1.549  0.12150    
## mes                   9.996e+00  1.682e+00   5.943 2.89e-09 ***
## aƱo                   8.258e+01  2.732e+00  30.225  < 2e-16 ***
## estacion             -7.774e+00  5.177e+00  -1.502  0.13324    
## dia_de_la_semana      4.393e-01  6.918e-01   0.635  0.52545    
## asueto               -4.864e+00  8.365e+00  -0.582  0.56089    
## temperatura           1.582e+00  1.038e+00   1.524  0.12752    
## sensacion_termica     4.748e+00  9.552e-01   4.971 6.76e-07 ***
## humedad              -2.115e+00  7.884e-02 -26.827  < 2e-16 ***
## velocidad_del_viento  5.582e-01  1.809e-01   3.086  0.00203 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 141.7 on 10874 degrees of freedom
## Multiple R-squared:  0.3891, Adjusted R-squared:  0.3885 
## F-statistic: 629.6 on 11 and 10874 DF,  p-value: < 2.2e-16

Evaluar y, en caso necesario, ajustar la regresión

regresion <- lm(rentas_totales ~ hora + mes + aƱo + sensacion_termica + humedad + velocidad_del_viento, data=df)
summary(regresion)
## 
## Call:
## lm(formula = rentas_totales ~ hora + mes + aƱo + sensacion_termica + 
##     humedad + velocidad_del_viento, data = df)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -308.60  -93.85  -28.34   61.05  648.09 
## 
## Coefficients:
##                        Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          -1.662e+05  5.496e+03 -30.250  < 2e-16 ***
## hora                  7.734e+00  2.070e-01  37.364  < 2e-16 ***
## mes                   7.574e+00  4.207e-01  18.002  < 2e-16 ***
## aƱo                   8.266e+01  2.732e+00  30.258  < 2e-16 ***
## sensacion_termica     6.172e+00  1.689e-01  36.539  < 2e-16 ***
## humedad              -2.121e+00  7.858e-02 -26.988  < 2e-16 ***
## velocidad_del_viento  6.208e-01  1.771e-01   3.506 0.000457 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 141.7 on 10879 degrees of freedom
## Multiple R-squared:  0.3886, Adjusted R-squared:  0.3883 
## F-statistic:  1153 on 6 and 10879 DF,  p-value: < 2.2e-16

Construir un modelo de predicción

datos_nuevos <- data.frame(hora=12, mes=1:12, aƱo=2013, sensacion_termica=24, humedad=62, velocidad_del_viento=13)
predict(regresion,df)
##             1             2             3             4             5 
##  -86.63429788  -81.46986054  -73.73558168  -50.70688930  -42.97261045 
##             6             7             8             9            10 
##  -40.86163614  -42.79846626  -52.44850371  -12.03549503   12.27871743 
##            11            12            13            14            15 
##   44.57611151   24.24961905   68.51798932   96.82621331  103.94070484 
##            16            17            18            19            20 
##   97.03121673   89.47108205  101.27617710   90.35154612   98.08582498 
##            21            22            23            24            25 
##  103.28112155  108.53209145  102.66477059  140.23680983  -37.65160384 
##            26            27            28            29            30 
##  -49.16516291  -57.60232528  -31.52016987  -23.78589101   22.73210351 
##            31            32            33            34            35 
##   23.58056951   43.16239267   35.60225800   18.72263476   44.21350477 
##            36            37            38            39            40 
##   64.41511526   70.00985810   59.01982589   50.22011656   79.16201544 
##            41            42            43            44            45 
##  117.82653698  154.47976273  161.65361542  167.33253351  149.21333561 
##            46            47            48            49            50 
##  151.01327665  151.48946779  -21.31729349  -20.45005348  -14.19942538 
##            51            52            53            54            55 
##  -10.81197710  -14.44350148   -5.43274865    1.33796994   32.95501690 
##            56            57            58            59            60 
##   44.44907868   66.31264375   92.75734612   99.87183765  127.56027432 
##            61            62            63            64            65 
##  134.05081887  141.78509773  143.62005765  151.49654239  123.07256064 
##            66            67            68            69            70 
##  125.80332227   89.37387394   72.46339147  127.34945930  -59.88930217 
##            71            72            73            74            75 
##  -60.63807132  -69.49761362  -46.53807009  -58.13816172  -63.12845488 
##            76            77            78            79            80 
##  -54.15460137  -34.57277821  -13.75138039  -16.93382525   51.09087523 
##            81            82            83            84            85 
##   57.92935237   56.29939587   83.11080484   96.74440263  115.53157101 
##            86            87            88            89            90 
##  119.45643369  121.28723396  125.29862921  133.03290807  107.14790860 
##            91            92            93            94            95 
##  113.94948642  101.72960746  -59.93169164  -88.37868516  -80.64440631 
##            96            97            98            99           100 
##    4.90071649   12.27244840   13.13968840   23.42267745   41.86607289 
##           101           102           103           104           105 
##   61.89697557   69.63125442   95.19892909  102.93320794  125.13638631 
##           106           107           108           109           110 
##  142.11570639  149.84998524  162.59194097  125.41022733  135.32094152 
##           111           112           113           114           115 
##  146.50624924  128.28663122  119.42708892  116.19501081  154.00967606 
##           116           117           118           119           120 
##  -45.53543714  -61.54776059  -53.81348174  -43.96822858  -51.52836325 
##           121           122           123           124           125 
##  -35.10946934   -4.53827745    3.19600141   32.55612056   53.46405094 
##           126           127           128           129           130 
##   71.28765906  103.73210048  111.12260640  119.21943220  120.12357152 
##           131           132           133           134           135 
##  125.78672162   96.60074665  103.09129120  109.83350787  115.11297970 
##           136           137           138           139           140 
##  116.84751950  135.54815531  117.92955061  -70.56267306  -72.18846992 
##           141           142           143           144           145 
##  -64.45419106  -48.05293232    2.48630493  -24.12982852  -24.85009576 
##           146           147           148           149           150 
##   21.36477276   34.75501773   69.63125442   66.65641669   81.99255621 
##           151           152           153           154           155 
##   86.27996584   91.09882791  106.13225345  113.86653231  128.81162295 
##           156           157           158           159           160 
##  124.56031125   91.13281227  121.11271875  125.42682798  142.88788914 
##           161           162           163           164           165 
##  133.65607198  -44.23234169  -43.42446284  -30.06687943  -29.51255313 
##           166           167           168           169           170 
##  -21.77827428  -63.68882126  -55.95454241  -46.04382822  -78.60402741 
##           171           172           173           174           175 
##  -70.86974855  -28.39165120    7.29385464   34.99201922   73.29815345 
##           176           177           178           179           180 
##  108.64781194  114.52272881  119.26894587  109.68919612  102.62892784 
##           181           182           183           184           185 
##  114.86197107  122.59624993  123.65532907  138.99562823  128.80997871 
##           186           187           188           189           190 
##  -53.23342639  -47.08665478  -47.83542393  -37.27406318  -49.03882254 
##           191           192           193           194           195 
##  -41.30454369  -21.36017357  -25.83598598   -5.89161586   13.47844053 
##           196           197           198           199           200 
##   31.33894796   55.68166233   71.36573443   94.81264710  112.06798157 
##           201           202           203           204           205 
##  113.78374735  118.01548366  112.21356404  106.44250365  107.81449650 
##           206           207           208           209           210 
##  101.38862991  111.29330401  118.72070924  118.31571303  -60.53626090 
##           211           212           213           214           215 
##  -52.80198205  -47.55101214  -39.81673329  -44.29254570  -36.25139322 
##           216           217           218           219           220 
##  -14.13058777   -8.87961787    1.33796994    7.82851449   17.42631497 
##           221           222           223           224           225 
##   35.59369603   72.18340098   79.91767984   89.85925326   97.59353211 
##           226           227           228           229           230 
##  106.26051200  117.44581972  120.79636868  101.85165676  103.22364961 
##           231           232           233           234           235 
##   83.76029730   94.91474579  102.64902464  -73.03209446  -67.50511017 
##           236           237           238           239           240 
##  -50.04820865  -19.97833324  -12.24405438    3.94477056   19.19853716 
##           241           242           243           244           245 
##   25.37616801   37.77019115   52.74378371   55.44604342   45.59443893 
##           246           247           248           249           250 
##   53.32871779    7.17664680   -6.26819245    1.46608641   -1.26123886 
##           251           252           253           254           255 
##   16.16716074    8.57985466   40.85774791   29.67587656   41.48097161 
##           256           257           258           259           260 
## -121.56210804 -117.89864538 -118.27513967  -93.82856881 -102.18335827 
##           261           262           263           264           265 
##  -43.55079136   -8.67455467   -3.46048408   22.42010429   45.46757068 
##           266           267           268           269           270 
##   60.40426393   79.22833163   74.67014630   81.46756448  101.19159354 
##           271           272           273           274           275 
##   99.11255752  104.32662811  107.71407638  100.70344134   97.83391019 
##           276           277           278           279           280 
##  105.84420343   99.19195569  -79.62311892  -52.80198205  -41.96460691 
##           281           282           283           284           285 
##  -35.46990271  -30.84287978  -21.24507930  -19.47364018  -11.73936133 
##           286           287           288           289           290 
##    2.30153020   10.93577042   24.60022744   58.13646937   64.62701392 
##           291           292           293           294           295 
##   89.31766088   94.56863079  109.59789668  119.81548449  110.85479526 
##           296           297           298           299           300 
##  120.45259574  100.88393685  107.37864105  110.98643039  119.96444354 
##           301           302           303           304           305 
##  118.31571303  -59.57270064  -66.25164796  -59.76110341  -48.57579569 
##           306           307           308           309           310 
##  -33.72702530  -15.70969761  -62.26121487  -34.59155222  -28.08223365 
##           311           312           313           314           315 
##   21.17636999   36.46099582   67.14722219   95.31739994   94.88154449 
##           316           317           318           319           320 
##  113.36183925  112.25052315  117.80836667  115.33828178   82.64976426 
##           321           322           323           324           325 
##  100.66709195   82.53400650   90.26828535  132.35297652  -45.53543714 
##           326           327           328           329           330 
##  -56.56725513  -48.83297627  -35.47539287  -27.74111401  -20.00683516 
##           331           332           333           334           335 
##  -35.10946934  -17.71192898  -23.09194049   -8.12807584   16.14435084 
##           336           337           338           339           340 
##   34.84498666   66.77494733  108.17029029  122.51436762  142.23423703 
##           341           342           343           344           345 
##  158.86978417  156.73923447  139.48317672  164.60177188  172.33605073 
##           346           347           348           349           350 
##  178.83075493  179.92673339  179.39830530  -28.95550354  -24.98516726 
##           351           352           353           354           355 
##  -14.41964686  -42.67292081   -5.19834068    2.53593818   10.27021703 
##           356           357           358           359           360 
##    9.54994980   18.78520333   33.75879590   42.73680905   68.76329114 
##           361           362           363           364           365 
##   79.41298678  105.18222849  122.94231581  117.08472286  118.91968277 
##           366           367           368           369           370 
##  125.32369477  122.97280401  109.95827027  118.93628342  118.18751427 
##           371           372           373           374           375 
##  133.57932711  163.85149285  -33.26598473  -20.41315417  -17.42515216 
##           376           377           378           379           380 
##   -7.51443797    2.42713545   11.40514860   15.68839859    6.09403448 
##           381           382           383           384           385 
##   14.56729479   22.30157365   24.91314115   19.56030104   55.81831828 
##           386           387           388           389           390 
##   63.55259714   83.19009363   84.92463343   92.65891228   88.48997350 
##           391           392           393           394           395 
##   80.87416550   82.30183168   36.14976068   43.88403954   17.18137352 
##           396           397           398           399           400 
##   45.69532421  -23.50812949  -15.43007769   11.89581202    4.78475686 
##           401           402           403           404           405 
##   13.75861037   32.09669924   42.83292744   49.32347200   50.63610369 
##           406           407           408           409           410 
##   40.64229331   52.44738836   61.11436824 -116.77404542 -117.46345342 
##           411           412           413           414           415 
## -109.72917457  -94.26061686  -79.03535218  -71.30107332  -60.82624514 
##           416           417           418           419           420 
##  -55.21272829  -47.47844943  -33.84485164   -5.89501495   19.25443944 
##           421           422           423           424           425 
##  103.40395392  118.37754648  135.83860765  134.74606555  123.41710186 
##           426           427           428           429           430 
##  116.14506679  128.59845109  152.99195234  161.03310481  156.51181881 
##           431           432           433           434           435 
##  167.31229462  -71.40244639  -74.27197755  -56.84357795  -49.10929910 
##           436           437           438           439           440 
##  -89.22963296  -81.49535410  -69.07047173  -61.33619287  -53.60191402 
##           441           442           443           444           445 
##  -45.86763516  -18.62827801   -6.20339564    1.53088322   25.71677734 
##           446           447           448           449           450 
##   49.67817075   48.95790352   65.14672846   55.15291808   59.43616807 
##           451           452           453           454           455 
##   49.78613063   57.52040949   72.74567416   53.39735633 -114.20384885 
##           456           457           458           459           460 
## -107.40643068 -102.15546077  -94.42118192  -85.16715438  -75.53245458 
##           461           462           463           464           465 
##  -67.79817572  -64.44762676  -56.71334791  -40.52452297  -46.70287709 
##           466           467           468           469           470 
##  -30.06364213  -21.08562897   16.87612862   75.95293359   93.92847550 
##           471           472           473           474           475 
##   92.32213446  142.88383356  165.83572129  150.68345386  140.52866358 
##           476           477           478           479           480 
##  141.07441560  156.72346882  158.52152942  -10.88383624  -13.22011263 
##           481           482           483           484           485 
##   -9.85143837   -2.11715951   -8.98076199   16.08215983    3.04092650 
##           486           487           488           489           490 
##   12.01478001   28.31863944   50.43944488   58.48059736   82.86021105 
##           491           492           493           494           495 
##   88.41805458  110.62539259  115.87636249  125.16312970  119.39206932 
##           496           497           498           499           500 
##  130.54651780  145.49160844  132.75724874  119.45461538  135.05215492 
##           501           502           503           504           505 
##  156.57987263   -9.94273781  -43.37023679  -58.47287097  -50.73859211 
##           506           507           508           509           510 
##  -38.72106327    3.78420550   -1.65516718  -38.84660872  -34.48655408 
##           511           512           513           514           515 
##   44.10017064   57.76878731   76.52509646   87.19176378  107.70628797 
##           516           517           518           519           520 
##  112.80116443  136.71104416  106.33700822   99.68892013   93.36836011 
##           521           522           523           524           525 
##  102.34637326   99.47684210  117.81493097  113.70166552  -62.94301385 
##           526           527           528           529           530 
##  -44.60492499  -58.07826615  -50.34398730  -86.68690306  -95.65732020 
##           531           532           533           534           535 
##  -82.29973680  -55.99308068  -72.45448364  -64.72020478  -59.81716747 
##           536           537           538           539           540 
##  -47.39228509  -38.41427194  -30.67999308  -15.76576167   -8.03148282 
##           541           542           543           544           545 
##   -8.72089082    0.53313672   39.29323693   47.02751578   73.45344414 
##           546           547           548           549           550 
##   41.78416021   66.54020841   73.34178624  -57.01283568  -38.71164613 
##           551           552           553           554           555 
##  -24.09644087   -7.59470222   -7.38830851    4.10991292   11.84419177 
##           556           557           558           559           560 
##    1.80074814   11.74232156   47.91380624   70.33732566   89.09363481 
##           561           562           563           564           565 
##  101.98752433  119.07215099  125.87372881  133.60800767  135.59978784 
##           566           567           568           569           570 
##  150.00926641  124.66536917  115.89235943  122.38706364  132.55501820 
##           571           572           573           574           575 
##  140.28929705  132.76002161  -45.12839205  -63.29233674  -70.82161218 
##           576           577           578           579           580 
##  -75.81190533  -68.07762648  -60.34334762  -72.14500630  -49.56539343 
##           581           582           583           584           585 
##  -76.18152689  -12.02191591    6.00325925   53.02606641   72.74593582 
##           586           587           588           589           590 
##   99.47081222  107.20509107  130.65200374  119.87326648   91.93102581 
##           591           592           593           594           595 
##  111.56436265  109.91979179  117.31029770  125.38834950   99.48033826 
##           596           597           598           599           600 
##  112.83792167  -82.43480830  -74.70052944  -89.38494334  -79.16735553 
##           601           602           603           604           605 
##  -76.09282096  -45.42960635  -14.36694547   -1.65632080   28.26791235 
##           606           607           608           609           610 
##   44.48523921   60.61603351   64.62742876   97.37874381  115.97823270 
##           611           612           613           614           615 
##  111.86496724  122.60119545  131.23127602  147.81114983  147.47571450 
##           616           617           618           619           620 
##  122.64629801  129.48477516  148.30044546  151.68789373  158.18259793 
##           621           622           623           624           625 
##  -34.17887489  -22.68065346  -26.05493746  -39.37634482  -15.79701397 
##           626           627           628           629           630 
##    1.60052640   -8.81150426   18.77162583   39.69833022   60.97484764 
##           631           632           633           634           635 
##   51.34358421   77.27380582   81.58791505  108.57003182  115.68452335 
##           636           637           638           639           640 
##  120.50338542  134.59995028  107.27749693   16.39758476   29.75932781 
##           641           642           643           644           645 
##   37.49360667   62.64306105   66.92631104 -128.34641892 -105.71113272 
##           646           647           648           649           650 
##  -97.97685387  -38.90499514  -16.77446179  -15.03992199   -7.24628198 
##           651           652           653           654           655 
##   -1.11412473   32.05541060   37.30638050   58.54599860   82.81842528 
##           656           657           658           659           660 
##  106.77981870  122.79557851  138.21825059  138.88392355  144.39213383 
##           661           662           663           664           665 
##  145.40157973  147.23653964  152.64848945  149.03997684  152.11451141 
##           666           667           668           669           670 
##  143.79238352  -53.60110845  -57.09042693  -49.35614807  -49.93077305 
##           671           672           673           674           675 
##  -37.82665185  -45.35592729  -46.95322223  -36.73563442  -14.95067633 
##           676           677           678           679           680 
##   65.00810102   72.74237987  108.40911171  156.41425314  180.37980620 
##           681           682           683           684           685 
##  165.15797789  187.31568266  181.90716922  174.34703455  117.65051470 
##           686           687           688           689           690 
##  112.21114203  112.17285241  110.23602229  -77.93544021 -105.32141436 
##           691           692           693           694           695 
##  -84.86256349  -81.78802892  -66.95248261  -59.21820375  -96.78607981 
##           696           697           698           699           700 
##  -60.54503424  -64.29575275   -0.55436205   70.27440856  127.38654498 
##           701           702           703           704           705 
##  117.37884704  123.24960427  156.40452523  169.27612980  177.01040866 
##           706           707           708           709           710 
##  180.19024980  155.65913266  161.22301626  160.41857378  172.84949624 
##           711           712           713           714           715 
##  163.93844025  149.33639927  -57.36149507  -39.64319354  -65.84110671 
##           716           717           718           719           720 
##  -44.76246852  -39.23548423  -25.01066082   25.52857644    8.23561937 
##           721           722           723           724           725 
##   25.69668053   83.59931208  113.71538438  146.26513237  179.37530654 
##           726           727           728           729           730 
##  192.16273587  194.93039682  212.80967826  220.54395711  213.89170938 
##           731           732           733           734           735 
##  214.64391490  224.24171538  233.21556889  238.46653879  248.68412660 
##           736           737           738           739           740 
##   61.86358541   69.59786427   49.78585256   37.03271884   27.71436911 
##           741           742           743           744           745 
##   35.44864797   58.64804816   66.38232702  121.72236082  137.40643292 
##           746           747           748           749           750 
##  156.14396806  205.02613719  232.30539968  248.60925910  283.17934899 
##           751           752           753           754           755 
##  266.31849976  243.90814461  231.08309269  209.96194545  201.67671687 
##           756           757           758           759           760 
##  178.44869518  180.18323498  192.63661928  187.17847259    1.49635913 
##           761           762           763           764           765 
##   29.62547791   31.09789088   34.17840575   50.03318566   52.18105929 
##           766           767           768           769           770 
##   61.15491280   68.88919165   91.40340328  101.20881089  121.29122726 
##           771           772           773           774           775 
##  140.49661591  162.70395392  179.37036030  189.28107449  196.07849266 
##           776           777           778           779           780 
##  191.52030734  195.52754294  190.11902951  177.07779618  144.86136993 
##           781           782           783           784           785 
##  169.56174480  171.67271911    0.14659145   -7.83176350   -3.73316867 
##           786           787           788           789           790 
##   -4.48193782   11.73538904    3.74730618   11.48158503   26.08290274 
##           791           792           793           794           795 
##   40.45548199   80.55557696  122.76858647  164.03916703  186.60489234 
##           796           797           798           799           800 
##  210.41435196  218.14863081  218.28104901  228.03078329  193.82251708 
##           801           802           803           804           805 
##  145.93584650  196.99445097  184.35635173  172.55469305  227.80330784 
##           806           807           808           809           810 
##    2.40055824    6.71882711   14.45310597   25.60339481   20.19488137 
##           811           812           813           814           815 
##    9.15937556    0.91962058   44.33457861   51.44907014   68.21662345 
##           816           817           818           819           820 
##   96.32328039  141.78943954  163.99677755  200.61734174  247.42469429 
##           821           822           823           824           825 
##  258.10108952  229.46225687  248.24942525  224.80594895  192.79289209 
##           826           827           828           829           830 
##  192.04412293  220.09510655  210.30890330  192.34652566   -1.42522962 
##           831           832           833           834           835 
##    3.82574028   14.04332809   35.79742694   43.53170579   45.05979209 
##           836           837           838           839           840 
##   40.01382560   34.93699988   41.42754444   49.16182329   73.43424997 
##           841           842           843           844           845 
##   78.68521988  129.23907150  212.99753711  239.92398056  248.90199371 
##           846           847           848           849           850 
##  254.77275094  269.85165008  278.46711628  305.23746628  292.58663312 
##           851           852           853           854           855 
##  310.58463687  322.36371414  330.89264778  143.86033982  139.55939487 
##           856           857           858           859           860 
##  143.51511679  140.71098687  142.90849374  150.64277260  157.85841105 
##           861           862           863           864           865 
##  165.24891697  175.46650478  193.11524543  202.40617229  214.83105466 
##           866           867           868           869           870 
##  214.59676626  231.53918703  247.91749379  252.59830961  255.98575789 
##           871           872           873           874           875 
##  251.42341292  206.89635219  197.72993627  209.75537237  218.28014637 
##           876           877           878           879           880 
##  214.62984798  205.21035133  -33.60240749  -44.22505130  -29.33383166 
##           881           882           883           884           885 
##  -34.42943139  -27.93888683  -17.70741147    1.25046472   10.22847788 
##           886           887           888           889           890 
##   20.44606569   42.59357072   55.76347463   95.80004881  120.64262957 
##           891           892           893           894           895 
##  136.83145451  151.82382109  167.56356652  174.36514434  182.09942320 
##           896           897           898           899           900 
##  174.22221517  153.57496154  138.69133790  148.61178000  138.61796962 
##           901           902           903           904           905 
##  130.94648829  -57.90828234  -48.93442883  -41.20014998  -34.42943139 
##           906           907           908           909           910 
##  -45.63007675  -21.44418263   17.22033891    5.86775974   12.72501090 
##           911           912           913           914           915 
##   54.20688642   90.17680404   91.29155652  147.38453744  208.58325803 
##           916           917           918           919           920 
##  237.66620917  263.54075746  267.55215271  255.55865489  262.63208746 
##           921           922           923           924           925 
##  246.99619852  224.87158567  220.45929407  228.92839473  212.89909961 
##           926           927           928           929           930 
##   27.86763270   35.60191156   40.34812862   48.08240747   34.53226165 
##           931           932           933           934           935 
##   29.95530232   37.68958118   21.95327211   40.43356687   56.48018592 
##           936           937           938           939           940 
##   91.46360963  108.89616887  126.97285771  142.19812239  159.03523658 
##           941           942           943           944           945 
##  167.53150865  179.92553179  189.78057265  155.55418114  144.91764977 
##           946           947           948           949           950 
##  155.17629654  158.83975921  176.26815880  167.32624358  -36.32838746 
##           951           952           953           954           955 
##  -52.37157014  -44.63729129  -60.28706778  -50.37635360  -45.12538369 
##           956           957           958           959           960 
##  -34.55986330  -42.38139800  -17.23194361   29.54335107   42.24424783 
##           961           962           963           964           965 
##   79.71514014  113.40331586  130.43226919  149.55112528  157.90519147 
##           966           967           968           969           970 
##  153.25867125  150.30260753  144.18777420  133.09243541  114.59680301 
##           971           972           973           974           975 
##  123.57481617  130.06536072  130.61599920  -67.14003972  -50.05541306 
##           976           977           978           979           980 
##  -60.67317041  -52.93889156  -54.50901508  -62.86380454  -56.06222672 
##           981           982           983           984           985 
##  -49.91545510  -42.18117625  -13.35431186    2.48658050   70.90884681 
##           986           987           988           989           990 
##  108.31990614  121.95766358  151.34864197  146.52905662  167.43698701 
##           991           992           993           994           995 
##  177.65457481  184.14927901  170.22685834  152.09377289  170.43186175 
##           996           997           998           999          1000 
##  161.62799278  174.05287515   -6.04283308   -1.41165050   -8.94092594 
##          1001          1002          1003          1004          1005 
##    4.07288452    1.56590032    4.30988601    3.04663611   -0.08918153 
##          1006          1007          1008          1009          1010 
##   11.68505429   20.03912047   24.67030304   58.82633229   67.80018580 
##          1011          1012          1013          1014          1015 
##   52.56374313   60.29802198   37.77396287   36.77768125   42.33552477 
##          1016          1017          1018          1019          1020 
##   46.30586106   46.24644012   58.19507157   46.46533109   55.43918459 
##          1021          1022          1023          1024          1025 
## -130.86271619 -123.12843734  -64.04196425  -58.79099435  -37.93269721 
##          1026          1027          1028          1029          1030 
##  -28.95468406  -24.64057483  -13.48612635   20.67963081   39.41716594 
##          1031          1032          1033          1034          1035 
##   78.81094103  116.72675320  140.63663293  149.61048644  171.36874494 
##          1036          1037          1038          1039          1040 
##  177.85928949  189.83509235  187.74144197  186.57445254  196.48516672 
##          1041          1042          1043          1044          1045 
##  186.74859672  166.13220232  185.73703724    2.22531903  -10.70503947 
##          1046          1047          1048          1049          1050 
##   -2.97076061    7.59475978   -9.18740436  -21.72019702   12.22521908 
##          1051          1052          1053          1054          1055 
##   -3.75860245   34.89619118   80.43191122  115.72220854  157.88370436 
##          1056          1057          1058          1059          1060 
##  172.37971549  184.87904521  198.87030349  206.18636207  206.32366672 
##          1061          1062          1063          1064          1065 
##  202.53116244  204.33110348  204.55005424  190.00784623  166.86708391 
##          1066          1067          1068          1069          1070 
##  175.84509707  152.19589408  -33.82763501   -1.35469166    6.37958719 
##          1071          1072          1073          1074          1075 
##  -30.57895626  -32.82870008  -41.27002211  -38.56776240  -37.28230211 
##          1076          1077          1078          1079          1080 
##  -30.79175755  -18.09086079   29.13351341   40.33759514   47.14105340 
##          1081          1082          1083          1084          1085 
##   54.56241855   64.47313273   92.16156940   81.18542474   87.67596930 
##          1086          1087          1088          1089          1090 
##   98.23733005  104.38826131   87.89419678   83.80386498   89.39860782 
##          1091          1092          1093          1094          1095 
##  103.03220562  120.19822282  127.93250167  135.66678053  165.73665594 
##          1096          1097          1098          1099          1100 
##  174.37089616  196.45904003  206.67662784  216.61820126  221.86917117 
##          1101          1102          1103          1104          1105 
##  233.32633363  244.48078211  252.21506097  267.74303962  272.37422219 
##          1106          1107          1108          1109          1110 
##  276.65747218  294.67291944  301.16346399  318.21119133  282.65080013 
##          1111          1112          1113          1114          1115 
##  290.72885192  290.04548401  300.61100440  -89.35360948  -80.99954330 
##          1116          1117          1118          1119          1120 
##  -73.26526444  -55.99604242  -23.50202754  -27.32539105    4.70083010 
##          1121          1122          1123          1124          1125 
##   19.57816219   52.33363688   73.83049535   81.56477421  100.60918296 
##          1126          1127          1128          1129          1130 
##  113.00320610  131.44660154  123.81201953  137.20226450  146.52405059 
##          1131          1132          1133          1134          1135 
##  153.91455651  137.45315355  147.70764067  162.98810686  171.65924639 
##          1136          1137          1138          1139          1140 
##  178.45666457  -26.05506654  -40.45138082  -32.71710197  -22.49951416 
##          1141          1142          1143          1144          1145 
##  -14.76523531  -17.99731341  -25.19490114   -4.64951770   21.79934431 
##          1146          1147          1148          1149          1150 
##   36.40066201   51.64054106   99.77460453  101.85291726  121.59156069 
##          1151          1152          1153          1154          1155 
##  158.56494392  185.54290105  207.13045173  203.53582667  173.88199818 
##          1156          1157          1158          1159          1160 
##  178.51318075  173.72445464  163.93825139  147.92592794  174.65080434 
##          1161          1162          1163          1164          1165 
##    5.86522601   -7.65406057  -18.08372640   12.10190677   31.76610286 
##          1166          1167          1168          1169          1170 
##   30.09067276   49.71796952  105.94891858  118.64981534  130.57598496 
##          1171          1172          1173          1174          1175 
##  162.55557887  180.07231336  187.80659222  185.45154182  203.36168249 
##          1176          1177          1178          1179          1180 
##  204.64714278  206.47794305  200.62035010  170.11799582  151.17328390 
##          1181          1182          1183          1184          1185 
##  154.50505885  160.65599011  140.29683609  -37.89845120  -26.09335615 
##          1186          1187          1188          1189          1190 
##  -18.35907730  -13.45603998  -17.94164008    9.74679658   34.41866954 
##          1191          1192          1193          1194          1195 
##   53.65256011   75.82299881  108.46900728  125.10455442  147.34879175 
##          1196          1197          1198          1199          1200 
##  170.86411167  169.17963546  177.38176784  191.56486527  187.72761420 
##          1201          1202          1203          1204          1205 
##  182.38866165  180.34048487  176.08917317  184.75615305  184.88857125 
##          1206          1207          1208          1209          1210 
##  184.48357503    6.59516137  -15.07132586   -7.33704701  -33.44848741 
##          1211          1212          1213          1214          1215 
##  -30.72188543  -33.59141658  -11.83315808   17.44278582   35.46011351 
##          1216          1217          1218          1219          1220 
##   55.08741027   83.15228145  115.08224212  105.76389239  156.14703620 
##          1221          1222          1223          1224          1225 
##  169.62381374  172.85932821  127.06075807  134.45126398  117.81915321 
##          1226          1227          1228          1229          1230 
##  125.55343207  109.28990833  102.12317984  109.85745869  -86.38299118 
##          1231          1232          1233          1234          1235 
##  -96.32112823  -83.95566680  -54.50901508  -44.56744166  -36.83316281 
##          1236          1237          1238          1239          1240 
##  -34.72634815  -25.71143568   -7.73100731   31.38675339   37.87729795 
##          1241          1242          1243          1244          1245 
##   84.28031777   82.65036127   94.11168338  103.08553688  107.09693213 
##          1246          1247          1248          1249          1250 
##  176.42472807  181.05591065  199.49930609  194.93696112  193.56840464 
##          1251          1252          1253          1254          1255 
##  192.50672178  185.80484080    3.58837056  -14.53082733  -17.73440352 
##          1256          1257          1258          1259          1260 
##    4.36762792    2.73767142   -3.85474334    2.94267483   12.85338902 
##          1261          1262          1263          1264          1265 
##   46.48589141   86.37053178  123.52851038  129.39926761  167.74718762 
##          1266          1267          1268          1269          1270 
##  180.94795077  178.24912742  203.24248836  194.80532599  211.53713360 
##          1271          1272          1273          1274          1275 
##  172.62853597  179.06340719  164.26395881  182.60204768  177.19353424 
##          1276          1277          1278          1279          1280 
##  200.55391434   31.14854868   24.49630094   29.74727085   -0.30600392 
##          1281          1282          1283          1284          1285 
##   38.53688123   52.20133826   59.93561711   72.69218720   97.02028721 
##          1286          1287          1288          1289          1290 
##  142.48644636  157.03209074  178.89149616  228.53981816  239.27188672 
##          1291          1292          1293          1294          1295 
##  256.04359967  260.67478225  274.51410673  271.17672205  262.37285308 
##          1296          1297          1298          1299          1300 
##  265.86560793  272.36031213  274.09485193  277.95015373  101.30131472 
##          1301          1302          1303          1304          1305 
##  104.86731828  108.68687439  124.59128755  141.96165650  149.69593536 
##          1306          1307          1308          1309          1310 
##  117.52189859   99.45837403  125.04066305  137.89765326  161.18358602 
##          1311          1312          1313          1314          1315 
##  179.06286747  191.91569803  208.74308431  224.07922382  232.95193040 
##          1316          1317          1318          1319          1320 
##  235.20511060  235.79633622  238.84001156  235.80950050  232.12834288 
##          1321          1322          1323          1324          1325 
##  234.06444972  243.04246288  238.48011791 -106.72784281  -98.99356396 
##          1326          1327          1328          1329          1330 
##  -75.17437643  -74.30713643  -66.57285757  -60.07815337  -52.34387452 
##          1331          1332          1333          1334          1335 
##  -49.26329986  -18.25142586   43.92358893   61.69756380   78.47900466 
##          1336          1337          1338          1339          1340 
##  107.83912382  131.28603648  147.50336334  148.37060335  156.10488220 
##          1341          1342          1343          1344          1345 
##  160.11627745  167.85055631  169.22254916  167.57381864  177.48453283 
##          1346          1347          1348          1349          1350 
##  170.74991218  169.46788826   -7.48782437  -21.35088390  -44.17457287 
##          1351          1352          1353          1354          1355 
##  -24.59274970  -16.85847085  -19.72800200    5.47712571   13.21140457 
##          1356          1357          1358          1359          1360 
##   34.98663474   60.55430941   89.85875523  137.50134971   48.49468708 
##          1361          1362          1363          1364          1365 
##   56.22896593   73.29058083   83.50816863  146.50084997  172.44079949 
##          1366          1367          1368          1369          1370 
##  173.34493882  171.32942360  171.30086190  156.13470692  165.73250740 
##          1371          1372          1373          1374          1375 
##  172.57098454  -21.91125028   -0.06645922  -24.22041505   15.71501219 
##          1376          1377          1378          1379          1380 
##   -1.26087152   13.31327477   19.80381933   55.09827630   69.69959401 
##          1381          1382          1383          1384          1385 
##  101.27558201  148.80314200  158.60854962  178.63945229  197.59732849 
##          1386          1387          1388          1389          1390 
##  207.40273610  205.30908572  225.35460276  236.96785867  232.75344629 
##          1391          1392          1393          1394          1395 
##  211.63718550  226.97748466  228.34947751  228.57815617  220.84731369 
##          1396          1397          1398          1399          1400 
##   48.54530525   49.14141733   26.63064207   35.60865522   33.35891139 
##          1401          1402          1403          1404          1405 
##   63.00713016   85.12793560  104.79213169  116.92891445  146.22363236 
##          1406          1407          1408          1409          1410 
##  174.81995597  227.11256682  246.43298996  257.51299111  291.57832815 
##          1411          1412          1413          1414          1415 
##  314.96956748  318.89443017  328.23083063  326.33874729  330.71268949 
##          1416          1417          1418          1419          1420 
##  342.16985195  332.83688786  328.46638203  298.24843954  109.03112196 
##          1421          1422          1423          1424          1425 
##  114.95639889   52.32481442   60.05909327   33.42671494   11.01635980 
##          1426          1427          1428          1429          1430 
##   37.40954848   45.14382734   42.16059221   22.80738793   34.23296435 
##          1431          1432          1433          1434          1435 
##   39.79080787   70.90914208  106.19943940  125.10164227  182.97577190 
##          1436          1437          1438          1439          1440 
##  184.15592561  218.20664828  215.45215161  190.05373467  186.14619591 
##          1441          1442          1443          1444          1445 
##  194.46336277  191.18165142  193.63639867   17.64840595  -10.74707389 
##          1446          1447          1448          1449          1450 
##  -33.57076286    4.72148382   -7.49839514   -6.91689743    0.81738143 
##          1451          1452          1453          1454          1455 
##   23.81521458   54.34950715  104.48513849  160.28813936  170.56140050 
##          1456          1457          1458          1459          1460 
##  171.03343199  199.72297694  222.18755533  235.13107810  259.76189209 
##          1461          1462          1463          1464          1465 
##  255.56625372  265.93577533  262.25461771  215.12021244  246.54542027 
##          1466          1467          1468          1469          1470 
##  254.27969912  262.63376530   84.12556431   63.57457115   50.87711076 
##          1471          1472          1473          1474          1475 
##   17.87151988   -0.29242480    4.02584407   -2.29471595   21.67083711 
##          1476          1477          1478          1479          1480 
##   35.33529414   80.49457966   89.52826615  127.71520625  135.44948511 
##          1481          1482          1483          1484          1485 
##  175.79709255  203.48552921  250.49444881  260.24418309  206.32087414 
##          1486          1487          1488          1489          1490 
##  197.09878489  193.52293384  184.64877718  186.74586393  162.31589371 
##          1491          1492          1493          1494          1495 
##  167.84287800  -25.29520240  -25.97857032  -17.00055716   -9.26627831 
##          1496          1497          1498          1499          1500 
##  -23.98335378  -20.54627225   -6.87161550   -1.65754491    6.07673394 
##          1501          1502          1503          1504          1505 
##   43.06957299   60.44410159  115.00336816  102.73385596   73.04312815 
##          1506          1507          1508          1509          1510 
##   50.30597174   58.04025060   49.59892857   57.33320743   65.06748628 
##          1511          1512          1513          1514          1515 
##   70.28155687   74.29295212   83.61057857   88.51777553   97.83956162 
##          1516          1517          1518          1519          1520 
##  -67.32428003  -58.65730014  -47.19597804  -70.45177484  -67.40809950 
##          1521          1522          1523          1524          1525 
##  -41.37745777  -34.88691321  -23.73246473  -15.99818587   16.01830736 
##          1526          1527          1528          1529          1530 
##   20.30155735   44.52435079   53.18529059   64.68351202   68.65384830 
##          1531          1532          1533          1534          1535 
##   67.42749772   90.42533087  101.88665297  110.24071915  119.21457266 
##          1536          1537          1538          1539          1540 
##  117.58877581   97.34465626  105.07893512  137.68851609  -40.19989757 
##          1541          1542          1543          1544          1545 
##  -30.60625674  -24.73133986  -15.13769903  -30.71791464  -23.60342311 
##          1546          1547          1548          1549          1550 
##  -15.86914426  -22.98019942    6.82899925   16.42264009   38.10645124 
##          1551          1552          1553          1554          1555 
##   51.42713533   61.70039647   90.27002048  132.28515077  130.65935391 
##          1556          1557          1558          1559          1560 
##  151.20473734  160.17859085  152.61845617  160.35273503  145.64954712 
##          1561          1562          1563          1564          1565 
##  138.48281863  135.97583443  165.44126016   -8.99612465  -20.54054295 
##          1566          1567          1568          1569          1570 
##  -12.80626409   -1.06474963    6.66952922    2.92297036   45.45674105 
##          1571          1572          1573          1574          1575 
##   60.36493237   88.05336904   96.40743522  144.05002970  153.02804285 
##          1576          1577          1578          1579          1580 
##  177.65885684  233.42195238  260.71094278  268.44522163  276.17950049 
##          1581          1582          1583          1584          1585 
##  271.96508810  282.18267591  270.94513123  254.32878845  286.63518363 
##          1586          1587          1588          1589          1590 
##  238.00464514  109.03112196  116.14561349  119.37696832   97.38852128 
##          1591          1592          1593          1594          1595 
##   83.46610060   78.05758716   92.00221822   97.25318812   55.36141515 
##          1596          1597          1598          1599          1600 
##   50.02318940   89.45386381  109.99924724  159.00061050  146.14217021 
##          1601          1602          1603          1604          1605 
##  114.80457400  138.41615439  140.56402801  132.11781953  139.85209839 
##          1606          1607          1608          1609          1610 
##  134.77527267  142.50955152  146.51678713  128.48900825  134.35976548 
##          1611          1612          1613          1614          1615 
##  -54.38969857  -46.65541972  -38.92114086  -17.21855570   -9.48427684 
##          1616          1617          1618          1619          1620 
##   -9.54785743   -3.05315323  -22.05353847   11.17167018   20.14968334 
##          1621          1622          1623          1624          1625 
##   46.17616543   69.17399858   79.39158638   99.93696981  105.46395410 
##          1626          1627          1628          1629          1630 
##  129.73638079  152.73421394  161.08828012  178.49366795  180.63738193 
##          1631          1632          1633          1634          1635 
##  188.37166078  177.08864251  186.06249601  178.17067362  -15.01215357 
##          1636          1637          1638          1639          1640 
##   -3.55083146  -13.55368795  -21.11382262    0.98820882    7.78978664 
##          1641          1642          1643          1644          1645 
##   16.14385282   54.74901320   95.62987541  126.31610178  145.88403739 
##          1646          1647          1648          1649          1650 
##  169.79391712  187.33735120  214.06222760  220.45162523  264.71999550 
##          1651          1652          1653          1654          1655 
##  279.01812741  278.16405168  258.26550741  257.09851798  223.22682594 
##          1656          1657          1658          1659          1660 
##  193.67830402  221.82970775  216.39033508   12.52925054   30.86733940 
##          1661          1662          1663          1664          1665 
##   -0.43939757    7.29488128    1.34102786    2.46550824    9.57999977 
##          1666          1667          1668          1669          1670 
##   55.66594624   97.42383615  129.66671053  137.40098938  149.82587175 
##          1671          1672          1673          1674          1675 
##  161.28719386  178.83062794  186.56490680  202.37305948  200.91381079 
##          1676          1677          1678          1679          1680 
##  182.64871918  172.54960222  149.72591326  152.43790088  158.92844543 
##          1681          1682          1683          1684          1685 
##  152.97459201  140.74566695  -35.89901242  -43.09660014  -36.88206997 
##          1686          1687          1688          1689          1690 
##  -27.90405682  -17.68646901    6.54121089   31.43342489   42.89058736 
##          1691          1692          1693          1694          1695 
##   37.53774725   15.21881112   44.06444953   54.28203733   89.67764123 
##          1696          1697          1698          1699          1700 
##   82.20403912  129.79096027  137.52523913  124.99848655  137.69938331 
##          1701          1702          1703          1704          1705 
##  124.63937597  138.30383299  119.26770206  117.68853243  108.00763576 
##          1706          1707          1708          1709          1710 
##  181.00680162    3.11838795   24.88637436   37.32098464   34.08890653 
##          1711          1712          1713          1714          1715 
##    5.33503939   21.49669293   42.28119143   84.88036335  121.04212012 
##          1716          1717          1718          1719          1720 
##  135.48245792  152.58585858  174.78903695  187.64602716  213.21370182 
##          1721          1722          1723          1724          1725 
##  225.63858419  247.89139580  253.03705913  269.15812552  274.40909542 
##          1726          1727          1728          1729          1730 
##  278.41633103  259.72885949  250.04796281  260.42164407  197.24780373 
##          1731          1732          1733          1734          1735 
##   63.33127811   72.92491895   27.65403531   45.99212417   -1.46908236 
##          1736          1737          1738          1739          1740 
##   26.49048224   17.77314583   79.81199481   87.54627367  125.94382692 
##          1741          1742          1743          1744          1745 
##  138.36870929  156.53609035  175.29239949  186.12977463  199.79423165 
##          1746          1747          1748          1749          1750 
##  243.61352241  248.71255851  226.72411147  299.09564253  242.62061737 
##          1751          1752          1753          1754          1755 
##  307.83936728  278.41976740  238.62998241  231.94687544   61.30193513 
##          1756          1757          1758          1759          1760 
##   42.71977017   44.45430997   62.87893139   51.85315349   53.32629327 
##          1761          1762          1763          1764          1765 
##   68.28527147  110.81904215   91.87921669  113.04854709  102.59176964 
##          1766          1767          1768          1769          1770 
##  125.70699459  138.82122518  143.65886125  158.63245382  163.00639602 
##          1771          1772          1773          1774          1775 
##  208.55673042  191.25519907  187.08626029  170.95654504  179.93455819 
##          1776          1777          1778          1779          1780 
##  183.94179380  174.55315638  154.26844969   19.13940406   23.25194624 
##          1781          1782          1783          1784          1785 
##   14.02012908    6.49085364   26.94970451   21.33962402   29.07390288 
##          1786          1787          1788          1789          1790 
##   52.07173603   66.35598038   89.35381353  123.34886287   82.37517656 
##          1791          1792          1793          1794          1795 
##  105.40386895  149.97186907  144.61902896  139.52342923  155.32742227 
##          1796          1797          1798          1799          1800 
##  139.67764577  135.89534122  140.00788340  147.63685568  155.37113454 
##          1801          1802          1803          1804          1805 
##  163.10541339  189.51321644   19.74530383   27.47958269   23.67735050 
##          1806          1807          1808          1809          1810 
##   27.68458610   36.66259926   43.15314381   26.31946599   60.75150963 
##          1811          1812          1813          1814          1815 
##   79.43337143   94.31070352  108.94288046  137.61365141  169.42857759 
##          1816          1817          1818          1819          1820 
##  175.91912215  184.89713530  213.01352016  221.99153331  219.99902986 
##          1821          1822          1823          1824          1825 
##  223.07356443  219.84148633  227.57576518  220.89681786  224.28426613 
##          1826          1827          1828          1829          1830 
##  200.17994355   23.53526418   43.11292770   50.84720656   44.56166542 
##          1831          1832          1833          1834          1835 
##   34.51822179   38.52545739   34.77889854   62.41166187   87.89280398 
##          1836          1837          1838          1839          1840 
##  123.37494044  159.54642511  179.18392161  206.91783187  230.64075892 
##          1841          1842          1843          1844          1845 
##  234.65215417  239.28333675  260.81105446  263.85472980  282.45005904 
##          1846          1847          1848          1849          1850 
##  263.95442664  251.68491443  269.97637607  253.98766809  237.58193846 
##          1851          1852          1853          1854          1855 
##   24.42617944   21.83266267   29.56694153   15.80918858   -6.60116657 
##          1856          1857          1858          1859          1860 
##   -2.72224930  -14.57958131   -8.08903675    0.88897640    7.37952096 
##          1861          1862          1863          1864          1865 
##   16.70130705   77.67853296  138.41797431  160.90132671  192.46874043 
##          1866          1867          1868          1869          1870 
##  196.78284966  223.76496643  144.30533219  165.18240334  196.35037079 
##          1871          1872          1873          1874          1875 
##  189.70228270  190.60642202  196.13340631  189.85759308    2.24239711 
##          1876          1877          1878          1879          1880 
##   -5.31773756    9.60434132   18.57819483   26.31247368   34.04675254 
##          1881          1882          1883          1884          1885 
##   41.78103139   89.84184615  123.89256882  154.94550179  182.63393846 
##          1886          1887          1888          1889          1890 
##  208.25124637  216.50000598  246.72138484  253.11078247  271.60569159 
##          1891          1892          1893          1894          1895 
##  285.16900169  282.73157837  286.11902665  282.46872826  265.61391912 
##          1896          1897          1898          1899          1900 
##  270.34624862  267.05849718  265.86064852   75.71062991   35.92084492 
##          1901          1902          1903          1904          1905 
##   36.48121131   15.77828434   23.51256320    5.37947775   17.15371356 
##          1906          1907          1908          1909          1910 
##   33.08113848   66.63199477  106.16797574  172.67104710  180.40532595 
##          1911          1912          1913          1914          1915 
##  194.03892375  224.31108949  260.37242613  269.86492004  267.76711001 
##          1916          1917          1918          1919          1920 
##  256.48777956  229.42256659  237.15684544  238.13054565  197.45957332 
##          1921          1922          1923          1924          1925 
##  193.62648190  171.76635319  -10.81266399   -4.31795979    2.79653174 
##          1926          1927          1928          1929          1930 
##   21.13462061   14.22513249   85.98660414   44.33745717  100.55936013 
##          1931          1932          1933          1934          1935 
##  140.55903499  163.07324662  176.08705708  184.12936319  234.34668564 
##          1936          1937          1938          1939          1940 
##  256.41181776  259.17947871  264.27435516  269.52532506  250.90137433 
##          1941          1942          1943          1944          1945 
##  262.51463024  254.07330821  259.32427812  253.40128393  259.89182848 
##          1946          1947          1948          1949          1950 
##  233.31439668   55.42598301   71.98708281   53.40491785   41.08877842 
##          1951          1952          1953          1954          1955 
##   14.53804620   37.56673858   34.69720743   47.09123057  114.74734401 
##          1956          1957          1958          1959          1960 
##  158.88739594  173.94752107  179.82243795  217.27944269  220.51079752 
##          1961          1962          1963          1964          1965 
##  222.65867115  230.39295000  248.83634544  234.29782526  230.23534668 
##          1966          1967          1968          1969          1970 
##  201.46759198  177.86802224  183.74293912  163.45823243  161.84216349 
##          1971          1972          1973          1974          1975 
##   -3.32167817  -16.69875886  -21.68905202   19.88115840   21.36818573 
##          1976          1977          1978          1979          1980 
##   39.70627460   66.45785058  102.62933526  135.44048328  143.26129470 
##          1981          1982          1983          1984          1985 
##  165.37794050  215.13156907  227.98439963  250.04953175  248.93821565 
##          1986          1987          1988          1989          1990 
##  256.67249450  270.76905936  279.74291287  289.34071335  258.76391173 
##          1991          1992          1993          1994          1995 
##  244.42327077  223.77601714  210.56407599  213.60775133   37.93636014 
##          1996          1997          1998          1999          2000 
##   53.19012674   60.24478529   78.94542110   67.50630938   60.85822129 
##          2001          2002          2003          2004          2005 
##   67.40443917   90.43313156  134.26630987  153.05347825  192.84669960 
##          2006          2007          2008          2009          2010 
##  189.71576842  230.51849546  248.80579745  256.59086318  268.05218529 
##          2011          2012          2013          2014          2015 
##  280.64777547  279.79369975  301.59743184  283.36808592  218.61157980 
##          2016          2017          2018          2019          2020 
##  237.72554944  238.75376935  239.24457485   69.83920919   63.16026186 
##          2021          2022          2023          2024          2025 
##   71.23831366   75.11238947   21.44083074   24.48450607   44.94335694 
##          2026          2027          2028          2029          2030 
##   81.05916829   80.67294609  103.39476485  122.44333325  143.32040440 
##          2031          2032          2033          2034          2035 
##  192.34477942  212.80363029  217.90266639  247.35904602  259.33484888 
##          2036          2037          2038          2039          2040 
##  254.44986229  263.89156933  232.50314124  210.12853179  220.75945342 
##          2041          2042          2043          2044          2045 
##  204.21640435  168.66814337  -10.45984495   -2.72556609  -13.61933784 
##          2046          2047          2048          2049          2050 
##    4.35620408  -10.91109783    2.40958626   21.97263541   39.95306378 
##          2051          2052          2053          2054          2055 
##   67.58582712   94.31070352  128.02973848  162.08046115  169.81474001 
##          2056          2057          2058          2059          2060 
##  210.37484104  201.86323132  232.46292513  231.71415598  236.96512588 
##          2061          2062          2063          2064          2065 
##  215.83425072  232.92860529  240.66288414  182.22807689  187.78592041 
##          2066          2067          2068          2069          2070 
##  208.24477128   11.70160743   19.43588628   10.63201731   18.36629617 
##          2071          2072          2073          2074          2075 
##   27.34430932   36.31816283   41.56913273   50.54714589   59.52099939 
##          2076          2077          2078          2079          2080 
##   67.25527825   87.80066168   96.77867483   95.14871833  110.95687102 
##          2081          2082          2083          2084          2085 
##  116.46508130  117.11198024  123.60252480  132.58053795  140.31481681 
##          2086          2087          2088          2089          2090 
##  159.89248033  165.14345023  172.00070138  184.33905119  174.29560757 
##          2091          2092          2093          2094          2095 
##   -4.83654040    2.89773846   10.63201731   18.36629617   40.06888133 
##          2096          2097          2098          2099          2100 
##   45.31985124   40.32955808   13.60811805   38.72671320   54.87863882 
##          2101          2102          2103          2104          2105 
##   65.71601396   72.20655851   65.35690337   73.09118223  100.09999859 
##          2106          2107          2108          2109          2110 
##  109.07801175  118.05186526  143.17046041  152.14847356  138.77139287 
##          2111          2112          2113          2114          2115 
##  146.50567172  157.96699383  163.21796373  154.77664171  -31.18148614 
##          2116          2117          2118          2119          2120 
##  -19.10037671  -10.12652320   -7.97864957   -0.24437072   11.83673871 
##          2121          2122          2123          2124          2125 
##   20.81059222   28.54487108   53.69432546   99.07395205  105.56865625 
##          2126          2127          2128          2129          2130 
##  133.25709292  159.35802235  166.47251387  175.17035300  198.53073310 
##          2131          2132          2133          2134          2135 
##  201.60526767  171.20821996  174.59566824  165.51994452  153.64383851 
##          2136          2137          2138          2139          2140 
##  161.37811736  184.37595051  186.16012355  -14.11008355   -5.13623004 
##          2141          2142          2143          2144          2145 
##  -16.67648869    6.88545845    0.65143100   25.71435282   47.50347055 
##          2146          2147          2148          2149          2150 
##   70.80817732  109.72021132  140.29140321  156.85666266  182.48973856 
##          2151          2152          2153          2154          2155 
##  200.31334668  215.37347180  223.10775066  240.19237732  173.16806185 
##          2156          2157          2158          2159          2160 
##  149.10479823  166.19915279  176.41674060  173.59799632  181.33227517 
##          2161          2162          2163          2164          2165 
##  177.49918375  185.23346261    3.61800569   11.35228454   19.08656340 
##          2166          2167          2168          2169          2170 
##   19.98954909   27.72382795   30.76750329   38.50178214   46.23606100 
##          2171          2172          2173          2174          2175 
##   55.83386148   79.11979424   86.85407309  116.68204577  124.41632463 
##          2176          2177          2178          2179          2180 
##  117.82390987  181.65671959  201.94486264  221.67861961  224.65273406 
##          2181          2182          2183          2184          2185 
##  214.24674348  220.11750071  190.98115898  171.93114050  180.90915365 
##          2186          2187          2188          2189          2190 
##  187.39969821    8.27170989   17.24556340    6.32509207   17.16246720 
##          2191          2192          2193          2194          2195 
##   24.89674606   16.80335662   20.81059222   61.16792757   77.28899396 
##          2196          2197          2198          2199          2200 
##   94.38334853   88.09780739   75.03780005   96.12132470  128.42771988 
##          2201          2202          2203          2204          2205 
##  149.59289063  165.43378299  185.94830719  199.68232510  202.66059920 
##          2206          2207          2208          2209          2210 
##  156.15570917  163.88998802  156.68751384  175.02560271  163.15854279 
##          2211          2212          2213          2214          2215 
##  -14.11008355  -15.41323879   -7.67895993  -17.32899738    3.12985349 
##          2216          2217          2218          2219          2220 
##   10.86413235   23.25815549   18.26786233   56.14188873   72.29381435 
##          2221          2222          2223          2224          2225 
##   86.90485997   90.86546834  126.67440607  170.30554551  147.11930959 
##          2226          2227          2228          2229          2230 
##  147.66994807  191.02507312  163.13850578  247.70135408  220.22764874 
##          2231          2232          2233          2234          2235 
##  188.76897796  196.50325682  184.87230596  150.08115174   79.20071175 
##          2236          2237          2238          2239          2240 
##   80.05406420   94.66926946   73.08515515   82.06316830   70.17009061 
##          2241          2242          2243          2244          2245 
##   91.94532078  133.34066374  151.66486505  175.90643250  192.10987181 
##          2246          2247          2248          2249          2250 
##  251.23746364  271.73321383  316.80965462  327.02724243  337.04326319 
##          2251          2252          2253          2254          2255 
##  318.46109822  326.19537708  313.91009688  240.16210209  251.61926455 
##          2256          2257          2258          2259          2260 
##  275.02439144  285.03136609  316.47046148  165.28954050  166.71232023 
##          2261          2262          2263          2264          2265 
##  163.31926222  160.10595812  177.92540659  191.14494375  195.15217935 
##          2266          2267          2268          2269          2270 
##  223.14748964  236.98681412  259.92897394  273.66787831  277.05948623 
##          2271          2272          2273          2274          2275 
##  298.94975089  309.11770545  310.95266537  332.19228347  342.14847126 
##          2276          2277          2278          2279          2280 
##  346.01766061  343.92401023  341.15073955  342.41742582  330.61576715 
##          2281          2282          2283          2284          2285 
##  336.59183095  338.84501115  157.07762043  167.91499556  131.40801577 
##          2286          2287          2288          2289          2290 
##  121.75797833  131.26924625  140.24309975  156.54695918  162.41771641 
##          2291          2292          2293          2294          2295 
##  182.16051948  194.11754833  243.78048469  258.86354347  273.21734871 
##          2296          2297          2298          2299          2300 
##  281.82865527  291.25574794  298.99002679  312.82935128  320.82087051 
##          2301          2302          2303          2304          2305 
##  331.29569869  329.47806270  325.88343764  331.13440754  321.79728381 
##          2306          2307          2308          2309          2310 
##  287.18957133   87.53915156   69.51137268   97.93463116   90.89313688 
##          2311          2312          2313          2314          2315 
##   98.00762841   86.72045049  112.31898439  133.19605553  193.91604107 
##          2316          2317          2318          2319          2320 
##  209.87196791  226.97048212  240.18585963  262.33752431  281.97086116 
##          2321          2322          2323          2324          2325 
##  282.82837326  311.35693831  300.93217372  305.15002247  317.64446573 
##          2326          2327          2328          2329          2330 
##  298.52904600  291.83621112  292.96069151  284.45396825  282.87479862 
##          2331          2332          2333          2334          2335 
##  108.71342820  111.06775533  118.80203418  113.39352075  121.12779960 
##          2336          2337          2338          2339          2340 
##  136.10139217  142.59609637  126.39682024  134.13109909  124.11851470 
##          2341          2342          2343          2344          2345 
##  142.77367692  164.30139463  172.03567348  192.91274463  227.32601425 
##          2346          2347          2348          2349          2350 
##  236.71320158  259.22741322  263.23464882  255.77982072  246.49233023 
##          2351          2352          2353          2354          2355 
##  242.29253221  235.64444412  230.56761840  234.57485400   56.68644034 
##          2356          2357          2358          2359          2360 
##   44.46656138   35.69771129   39.08515956   33.75109347   53.59015701 
##          2361          2362          2363          2364          2365 
##   62.28799613  109.58681767  131.99572273  188.65461998  218.40814532 
##          2366          2367          2368          2369          2370 
##  241.50223894  261.08406210  270.88946972  292.69320181  311.84291714 
##          2371          2372          2373          2374          2375 
##  299.26049123  317.86486658  318.97057295  280.41063471  261.46592279 
##          2376          2377          2378          2379          2380 
##  271.13328416  270.38451501  256.49295356   87.08758790   88.19818073 
##          2381          2382          2383          2384          2385 
##   80.89944608   88.63372493   63.00965366   61.38385680   98.43236918 
##          2386          2387          2388          2389          2390 
##  137.08716281  168.65457653  195.82853245  228.18644131  234.61158462 
##          2391          2392          2393          2394          2395 
##  265.66451759  278.51734815  287.49536131  305.99443008  306.39381656 
##          2396          2397          2398          2399          2400 
##  309.45446357  302.71984292  300.27825996  286.07982489  264.12343571 
##          2401          2402          2403          2404          2405 
##  273.11117678  245.25546867   33.35805831   63.52491748   42.30750976 
##          2406          2407          2408          2409          2410 
##   50.04178861   66.77359623   59.21346156   75.10398716  127.42021348 
##          2411          2412          2413          2414          2415 
##  199.62103672  207.35531558  258.73468122  274.15735330  295.98825680 
##          2416          2417          2418          2419          2420 
##  307.48647823  339.36565202  343.37704727  353.59463508  362.58237615 
##          2421          2422          2423          2424          2425 
##  356.72478319  309.38465123  303.97613780  310.00787493  281.19833446 
##          2426          2427          2428          2429          2430 
##  290.17218797   91.96706954   98.46177374   98.07555154  103.32652144 
##          2431          2432          2433          2434          2435 
##  116.38507870  100.43815649  125.90957068  141.44727724  176.37918726 
##          2436          2437          2438          2439          2440 
##  243.00333319  269.76395528  301.33136900  322.66724757  312.46698369 
##          2441          2442          2443          2444          2445 
##  336.88234307  348.42295397  350.67197452  350.23007899  350.27596462 
##          2446          2447          2448          2449          2450 
##  341.17306950  330.17399119  301.40135004  298.55059289  313.09623727 
##          2451          2452          2453          2454          2455 
##  106.68408522  114.41836407  106.52654168  114.26082054   93.55789357 
##          2456          2457          2458          2459          2460 
##  101.29217243  105.92335500  163.08700510  189.02695462  202.22771777 
##          2461          2462          2463          2464          2465 
##  220.98402692  255.48382910  273.04603719  279.54074140  298.19174397 
##          2466          2467          2468          2469          2470 
##  295.00929911  294.71449592  303.13812299  296.02706783  293.16726458 
##          2471          2472          2473          2474          2475 
##  281.46602602  286.64743504  273.03188798  277.04328323   77.95697745 
##          2476          2477          2478          2479          2480 
##   83.83189433   92.18596051   81.46705623   97.68438309  117.88183394 
##          2481          2482          2483          2484          2485 
##  157.84576311  179.11624044  191.51026358  188.27818547  205.73924663 
##          2486          2487          2488          2489          2490 
##  213.09709098  253.44469842  259.93524298  281.33095452  289.06523338 
##          2491          2492          2493          2494          2495 
##  292.87458976  259.87919862  257.88669517  252.39164917  238.86263467 
##          2496          2497          2498          2499          2500 
##  240.66673535  235.25822192  251.16867516   65.10408711   47.91759024 
##          2501          2502          2503          2504          2505 
##   49.13348964   58.11150280   58.30932223   68.52691004   71.29457099 
##          2506          2507          2508          2509          2510 
##  109.58681767  144.84861307  174.20873223  211.98649816  231.39345386 
##          2511          2512          2513          2514          2515 
##  263.21810796  250.48863470  277.38241659  275.92732754  190.08239553 
##          2516          2517          2518          2519          2520 
##  197.81667439  229.02154116  234.27251106  206.70254524  211.95351515 
##          2521          2522          2523          2524          2525 
##  211.57702085  237.05816295   56.68644034   83.44217597   88.96916026 
##          2526          2527          2528          2529          2530 
##  137.65345017  105.44366771  112.24524554  121.21909905  148.09590925 
##          2531          2532          2533          2534          2535 
##  179.09316889  212.82313038  229.92164460  236.41218915  243.52668068 
##          2536          2537          2538          2539          2540 
##  252.63785363  277.28744162  286.73330830  293.22385286  292.99372410 
##          2541          2542          2543          2544          2545 
##  306.20910162  301.90815667  297.79489122  311.89145608  307.78235027 
##          2546          2547          2548          2549          2550 
##  314.27289482  130.02219515  140.23978296  149.21779611  126.97210870 
##          2551          2552          2553          2554          2555 
##  107.40344981  126.72803260  133.21857716  159.06226621  176.60985994 
##          2556          2557          2558          2559          2560 
##  205.99299085  214.97100401  235.79240183  246.62977696  242.41536458 
##          2561          2562          2563          2564          2565 
##  242.54362313  249.03832733  275.42735637  263.11121694  270.58825542 
##          2566          2567          2568          2569          2570 
##  281.68287093  268.62286358  281.94354767  254.73124235  240.80882167 
##          2571          2572          2573          2574          2575 
##   76.98986125   76.96129954   79.64242793   73.32186791   92.90369107 
##          2576          2577          2578          2579          2580 
##   87.49517763  107.12851448  125.63966847  157.56962914  191.56099066 
##          2581          2582          2583          2584          2585 
##  210.36693305  239.29005792  260.57930926  288.18121337  284.11873478 
##          2586          2587          2588          2589          2590 
##  298.66437916  311.98506325  311.66840193  312.15920743  310.84028419 
##          2591          2592          2593          2594          2595 
##  294.07200761  297.92730941  294.33268436  291.35784663  111.45397753 
##          2596          2597          2598          2599          2600 
##   82.99793791  126.30274792   69.93302933   88.89090552  132.22241511 
##          2601          2602          2603          2604          2605 
##  100.92956569   93.36943102  137.64752920  161.03876853  184.39914863 
##          2606          2607          2608          2609          2610 
##  198.68755263  234.34455655  236.48827053  247.32980531  234.28441233 
##          2611          2612          2613          2614          2615 
##  211.35541679  186.92960622  184.36694868  194.58453649  204.18233697 
##          2616          2617          2618          2619          2620 
##  208.80935990  216.54363876  219.58731410   14.91876273   11.78783155 
##          2621          2622          2623          2624          2625 
##   18.28253576   26.01681461   30.33092384   19.75422545   44.87282060 
##          2626          2627          2628          2629          2630 
##   85.28582928   93.02010813  189.89419463  197.62847348  179.85793498 
##          2631          2632          2633          2634          2635 
##  200.73500613  225.42565309  255.33111224  283.39598341  279.71482579 
##          2636          2637          2638          2639          2640 
##  299.29248931  307.02676816  193.34080219  210.13244278  217.24693431 
##          2641          2642          2643          2644          2645 
##  196.28260732  219.31129971   26.12847251   47.91759024   31.35088071 
##          2646          2647          2648          2649          2650 
##   42.81220282   50.54648167   74.50787509   86.58898452  110.82639232 
##          2651          2652          2653          2654          2655 
##  121.39191271  184.77564292  198.49577328  203.74674318  205.82921556 
##          2656          2657          2658          2659          2660 
##  233.16483319  281.13307530  292.00734976  272.04340425  281.08681864 
##          2661          2662          2663          2664          2665 
##  275.21533813  283.05003711  277.17855660  271.36690907  288.82381059 
##          2666          2667          2668          2669          2670 
##  290.97168421   97.37063674  108.83195884   92.81963539   84.57988042 
##          2671          2672          2673          2674          2675 
##  105.45695157   94.46203290  109.02645128  116.76073014  139.84509585 
##          2676          2677          2678          2679          2680 
##  147.57937471  187.54330387  205.71068493  224.46699407  232.29753340 
##          2681          2682          2683          2684          2685 
##  234.19305310  248.28961796  266.52240025  263.23464882  264.51038119 
##          2686          2687          2688          2689          2690 
##  265.62097402  249.52211801  231.02648561  235.25822192  241.74876647 
##          2691          2692          2693          2694          2695 
##  127.40543276  135.13971161   97.91976814  144.24598332  143.49721416 
##          2696          2697          2698          2699          2700 
##  137.31281995  151.40938481  177.40916731  217.76650266  245.00585982 
##          2701          2702          2703          2704          2705 
##  261.67226619  286.77208734  294.50636619  301.79156553  324.40692409 
##          2706          2707          2708          2709          2710 
##  338.86603590  344.53033963  351.85128466  351.01598294  349.48644656 
##          2711          2712          2713          2714          2715 
##  317.72090216  313.18941643  319.21626710  320.07377920  142.18536553 
##          2716          2717          2718          2719          2720 
##  126.65666360  136.51170446  144.24598332  130.35442187   98.28569168 
##          2721          2722          2723          2724          2725 
##  133.20371414  145.07421043  179.12493310  212.66117502  262.48993274 
##          2726          2727          2728          2729          2730 
##  273.95125485  296.26946770  302.76417190  327.35924020  348.73502410 
##          2731          2732          2733          2734          2735 
##  357.25007019  343.35850874  348.88549303  343.11443264  323.19227291 
##          2736          2737          2738          2739          2740 
##  316.17747822  316.30989642  322.64850717  129.10313303  127.99181692 
##          2741          2742          2743          2744          2745 
##  143.32795644  127.21448606  134.94876492   90.15130306   60.86418116 
##          2746          2747          2748          2749          2750 
##   92.89528876  141.78161754  170.70962886  201.03746793  219.43123012 
##          2751          2752          2753          2754          2755 
##  256.05179431  264.92938735  284.95613038  305.57596115  313.31024000 
##          2756          2757          2758          2759          2760 
##  333.79643916  341.53071802  207.78155483  207.44611951  222.01053789 
##          2761          2762          2763          2764          2765 
##  237.86531780  228.12874780   48.99659983   54.87151671   58.87875231 
##          2766          2767          2768          2769          2770 
##   81.87658546   98.02851109   87.66799411   83.92143525  112.48689962 
##          2771          2772          2773          2774          2775 
##  156.76915745  185.50948927  221.26275367  228.99703253  244.02629842 
##          2776          2777          2778          2779          2780 
##  258.12286328  276.91003166  299.39338406  307.64214366  300.11286822 
##          2781          2782          2783          2784          2785 
##  313.43355231  311.35867594  299.22532955  287.42367087  296.39752438 
##          2786          2787          2788          2789          2790 
##  285.92613256  111.77449006  117.02545996   95.70274567  109.02342976 
##          2791          2792          2793          2794          2795 
##  124.87820967  125.78234899  126.63986109  162.81134577  188.11762041 
##          2796          2797          2798          2799          2800 
##  204.33494727  228.24482700  248.70367787  272.15059053  284.54461367 
##          2801          2802          2803          2804          2805 
##  282.03762947  295.66634080  306.07576775  313.81004660  304.94077639 
##          2806          2807          2808          2809          2810 
##  307.60801722  285.24729533  312.33055903  305.68247094  301.58309304 
##          2811          2812          2813          2814          2815 
##  107.96815801  103.86878011   99.13988698  103.14712258   96.77504888 
##          2816          2817          2818          2819          2820 
##  104.50932773  130.07700240  143.43458580  166.11950525  157.62250990 
##          2821          2822          2823          2824          2825 
##  161.01411782  184.97551123  213.40292936  213.27394753  246.29154905 
##          2826          2827          2828          2829          2830 
##  245.54277990  252.03332446  286.51615496  277.29406571  264.64623857 
##          2831          2832          2833          2834          2835 
##  265.13704407  250.43385616  258.16813501  249.31275236   40.93177211 
##          2836          2837          2838          2839          2840 
##   51.14935991   58.88363877   42.94087621   65.96956859   73.70384744 
##          2841          2842          2843          2844          2845 
##   82.67770095   93.83214944  149.88823104  184.82014106  216.70046849 
##          2846          2847          2848          2849          2850 
##  260.57912040  286.05537605  298.48025842  316.76756041  324.50183926 
##          2851          2852          2853          2854          2855 
##  330.54746395  341.22385918  333.85556365  328.66370344  308.07581096 
##          2856          2857          2858          2859          2860 
##  289.90697982  297.64125868  290.06234999  121.21137042   97.02891267 
##          2861          2862          2863          2864          2865 
##  112.84679327   98.14360536  121.43442457  119.81835563  141.30059974 
##          2866          2867          2868          2869          2870 
##  142.15395219  172.32569780  199.75689410  200.62413410  200.18827865 
##          2871          2872          2873          2874          2875 
##  222.33994333  247.90761800  274.45762694  282.19190580  204.48624885 
##          2876          2877          2878          2879          2880 
##  185.45500438  195.70460505  203.43888390  214.27625904  225.73342150 
##          2881          2882          2883          2884          2885 
##  241.58820141  244.97980933   58.34694764   42.76673202   52.98431983 
##          2886          2887          2888          2889          2890 
##   59.47486439   83.66075851   73.61731488   97.88558192  125.57401858 
##          2891          2892          2893          2894          2895 
##  166.76779449  210.54529948  230.72813596  256.77339206  271.99449709 
##          2896          2897          2898          2899          2900 
##  293.75275558  308.36380120  313.82049779  309.34468539  329.80353625 
##          2901          2902          2903          2904          2905 
##  333.40159768  293.97435964  302.48940573  298.39002783  297.64125868 
##          2906          2907          2908          2909          2910 
##  310.43841591  120.25753807  126.74808262  110.99715920  103.43702452 
##          2911          2912          2913          2914          2915 
##  121.77511339  115.17853898  108.80646528  152.20753575  174.04816717 
##          2916          2917          2918          2919          2920 
##  190.20009279  223.12211565  242.69005126  282.58857919  281.59229757 
##          2921          2922          2923          2924          2925 
##  305.83386502  315.94614625  324.12950462  335.29368101  330.66593481 
##          2926          2927          2928          2929          2930 
##  327.53916327  302.94821315  293.62986343  296.33212314  300.61537313 
##          2931          2932          2933          2934          2935 
##  113.01406471  132.95843483  138.20940473  130.31758234  116.75770861 
##          2936          2937          2938          2939          2940 
##  120.76494421  135.67313554  155.24107115  190.53552812  227.74502040 
##          2941          2942          2943          2944          2945 
##  251.13625974  263.61681544  281.75333726  299.29677134  306.57224277 
##          2946          2947          2948          2949          2950 
##  318.22124437  324.71594857  333.68980208  341.85618877  334.38258666 
##          2951          2952          2953          2954          2955 
##  271.96718360  259.74730464  275.63898387  263.41910491   85.53069125 
##          2956          2957          2958          2959          2960 
##   91.40560812   99.75967430  103.14712258  117.71154097  122.34272354 
##          2961          2962          2963          2964          2965 
##  184.85915396  202.40258804  209.67805947  239.63803831  254.08857584 
##          2966          2967          2968          2969          2970 
##  261.82285470  296.80023832  299.72887917  335.21101564  345.42860344 
##          2971          2972          2973          2974          2975 
##  327.11756641  344.20219307  341.50336973  340.97005518  342.40744926 
##          2976          2977          2978          2979          2980 
##  346.41884451  344.37066773  329.10336582  130.00733214  147.92720072 
##          2981          2982          2983          2984          2985 
##  155.66147958  160.41258309  170.63017090  175.88114080  182.37584501 
##          2986          2987          2988          2989          2990 
##  204.88589699  239.35483994  261.57190586  263.39297822  280.04241292 
##          2991          2992          2993          2994          2995 
##  293.19238920  284.11250584  291.84678469  136.99179712  159.09382855 
##          2996          2997          2998          2999          3000 
##  211.42702655  234.09805844  231.24241484  230.85619264  246.71097255 
##          3001          3002          3003          3004          3005 
##  240.33473920  241.20197921   99.52749948  122.36435273  140.44520122 
##          3006          3007          3008          3009          3010 
##  148.17948007  162.53328531  162.66570350  157.25719007  185.73612187 
##          3011          3012          3013          3014          3015 
##  204.17951731  219.86358941  236.95794398  258.71620248  271.93157999 
##          3016          3017          3018          3019          3020 
##  291.70524229  288.64387200  305.93006570  306.83420503  301.39483235 
##          3021          3022          3023          3024          3025 
##  301.00861015  316.34890931  313.06115788  295.41169395  286.44127681 
##          3026          3027          3028          3029          3030 
##  279.37569524   78.59100739   85.08155195   76.31270185  100.55010966 
##          3031          3032          3033          3034          3035 
##  107.04481386  113.53535841  120.03006262  149.42104101  163.36151242 
##          3036          3037          3038          3039          3040 
##  201.29121215  188.24997882  218.93620519  241.87836501  236.88807185 
##          3041          3042          3043          3044          3045 
##  250.98463671  270.20391293  271.14379794  300.44824377  295.89005844 
##          3046          3047          3048          3049          3050 
##  298.96459302  298.63404414  285.68907128  292.02768204  288.79560393 
##          3051          3052          3053          3054          3055 
##   99.00397263   89.84171635   90.33252185   82.80324641  103.94171758 
##          3056          3057          3058          3059          3060 
##   87.06209434  107.24981727  129.00391612  164.29837310  207.19469073 
##          3061          3062          3063          3064          3065 
##  218.37583880  240.07842397  265.55956607  269.67210825  272.74664282 
##          3066          3067          3068          3069          3070 
##  286.38440026  292.25515749  297.50612739  307.72371520  305.36866480 
##          3071          3072          3073          3074          3075 
##  303.32464766  291.52298898  286.89524277  295.96951640  104.90745121 
##          3076          3077          3078          3079          3080 
##   98.25520347  107.23321663  114.96749548  107.04481386  130.43605319 
##          3081          3082          3083          3084          3085 
##  122.51337157  134.93825394  171.47228557  203.40224624  211.55474537 
##          3086          3087          3088          3089          3090 
##  237.06674671  244.80102556  279.88975584  290.10734365  308.08288557 
##          3091          3092          3093          3094          3095 
##  304.79513413  314.55391452  320.26369184  298.94097755  303.72898038 
##          3096          3097          3098          3099          3100 
##  292.39028878  291.64151962  274.02291492   96.13450126  107.59582336 
##          3101          3102          3103          3104          3105 
##   77.54254860   94.63690316   96.44100385  101.69197375   94.16269831 
##          3106          3107          3108          3109          3110 
##  144.65114869  164.28448554  193.66573602  215.41983487  247.69772813 
##          3111          3112          3113          3114          3115 
##  255.95137419  277.22185152  288.06338630  306.81969545  312.69045268 
##          3116          3117          3118          3119          3120 
##  326.11155688  330.39480687  315.15836420  309.71899153  287.35410998 
##          3121          3122          3123          3124          3125 
##  305.68247094  301.58309304  121.21137042  130.18522393  125.98958556 
##          3126          3127          3128          3129          3130 
##  133.72386441  140.21440897  133.56632088  150.65094754  169.35158335 
##          3131          3132          3133          3134          3135 
##  186.43621001  226.47278418  250.29613135  249.49772895  272.01194058 
##          3136          3137          3138          3139          3140 
##  291.38803706  304.54774124  325.00659211  350.67957335  281.05806807 
##          3141          3142          3143          3144          3145 
##  294.37875216  266.80878634  267.66141198  272.56444930  274.71232292 
##          3146          3147          3148          3149          3150 
##  274.01318701  120.57805059  123.27615066  117.93719811  117.55097590 
##          3151          3152          3153          3154          3155 
##   96.85777685  103.35248105  110.46697258  182.37065011  252.51007251 
##          3156          3157          3158          3159          3160 
##  261.07590547  290.93473739  311.81180853  330.49855679  344.33788128 
##          3161          3162          3163          3164          3165 
##  356.65745708  351.21319795  358.94747681  308.18293746  320.50251326 
##          3166          3167          3168          3169          3170 
##  303.16408260  292.22972371  274.88713340  275.79543237  274.72958987 
##          3171          3172          3173          3174          3175 
##   84.08085850   96.16196793  114.84382974  115.35340925  119.36480450 
##          3176          3177          3178          3179          3180 
##  128.33865801  150.12777574  191.62842527  210.38473441  248.87854814 
##          3181          3182          3183          3184          3185 
##  287.17079482  308.35473958  319.40388150  324.65485140  354.82659702 
##          3186          3187          3188          3189          3190 
##  362.56087587  370.29515473  372.26816089  358.29006688  363.02655603 
##          3191          3192          3193          3194          3195 
##  350.79278952  339.87231819  330.27795408  359.21985296  181.33143929 
##          3196          3197          3198          3199          3200 
##  173.35308434  187.44964920  174.69651548  191.89617662  190.16507319 
##          3201          3202          3203          3204          3205 
##  186.63958220  210.35273634  215.60370624  220.75425602  217.78357794 
##          3206          3207          3208          3209          3210 
##  226.13764412  246.16438715  255.92316754  263.65744639  209.11858787 
##          3211          3212          3213          3214          3215 
##  201.91611369  219.00074034  216.13120919  223.86548804  235.94659748 
##          3216          3217          3218          3219          3220 
##  224.96629317  231.46099737  238.57548890   60.68707524   43.77659276 
##          3221          3222          3223          3224          3225 
##   51.51087162   59.24515047   87.89714741   95.63142626  115.78224988 
##          3226          3227          3228          3229          3230 
##  123.51652873  153.23919484  190.74094638  194.24342914  218.82876953 
##          3231          3232          3233          3234          3235 
##  239.70584067  246.60971905  281.57737477  293.03453723  274.98978667 
##          3236          3237          3238          3239          3240 
##  282.72406553  249.75537397  256.86986550  260.87710110  268.61137996 
##          3241          3242          3243          3244          3245 
##  266.99531101  266.31610274   88.42768908   77.70878480  110.15322622 
##          3246          3247          3248          3249          3250 
##   93.17734251  102.77098334  108.64590022  118.23954105  130.66442342 
##          3251          3252          3253          3254          3255 
##  183.70574364  206.00934213  226.00522592  249.75901221  257.49329106 
##          3256          3257          3258          3259          3260 
##  269.88731420  277.62159306  274.33384162  308.80278458  309.05023726 
##          3261          3262          3263          3264          3265 
##  303.89896419  300.58035353  296.05302744  283.00763446  291.98564761 
##          3266          3267          3268          3269          3270 
##  286.57713418   79.00778039   85.50248459   95.72007240  100.97104230 
##          3271          3272          3273          3274          3275 
##   98.10151115   80.65777391   89.01184009  130.65469551  138.38897437 
##          3276          3277          3278          3279          3280 
##  194.87716381  205.09475162  241.32190962  268.59212601  276.84993172 
##          3281          3282          3283          3284          3285 
##  296.32228866  311.28615332  232.10669311  239.84097196  254.71226397 
##          3286          3287          3288          3289          3290 
##  248.42860327  263.35068215  252.99432482  260.72860367  266.59936090 
##          3291          3292          3293          3294          3295 
##   88.71094723   95.20149179  101.69619599  105.70343159  113.43771045 
##          3296          3297          3298          3299          3300 
##  113.05148825  119.54619245  139.12385597  166.81229263  193.31682798 
##          3301          3302          3303          3304          3305 
##  240.07823511  257.93874254  327.31617172  335.05045057  313.79313752 
##          3306          3307          3308          3309          3310 
##  235.90288521  243.63716406  270.31125359  250.41622026  250.64978539 
##          3311          3312          3313          3314          3315 
##  251.19626422  257.69096842  244.53422878  269.75324405   91.86483039 
##          3316          3317          3318          3319          3320 
##   83.00528808   58.38763838   66.12191723   78.20302666  129.91643734 
##          3321          3322          3323          3324          3325 
##  170.72049489  194.78719488  212.24825604  233.51873337  261.62539032 
##          3326          3327          3328          3329          3330 
##  276.59898288  288.91855868  302.75788316  307.92232050  324.58872688 
##          3331          3332          3333          3334          3335 
##  340.60448670  343.37214765  340.96142392  338.52400060  321.15290836 
##          3336          3337          3338          3339          3340 
##  312.21099315  320.56505933  306.67349788  102.45475284  127.48192897 
##          3341          3342          3343          3344          3345 
##  126.73315982  151.43353469  129.05892524  154.91650185  165.73510297 
##          3346          3347          3348          3349          3350 
##  165.95894018  186.31248448  222.12630866  249.30026457  257.03454343 
##          3351          3352          3353          3354          3355 
##  274.57797751  295.91801572  319.22272249  332.87020784  341.22427402 
##          3356          3357          3358          3359          3360 
##  304.78021133  313.75406484  325.79942858  345.32141877  339.82637277 
##          3361          3362          3363          3364          3365 
##  349.42417325  347.60653726  156.21278435  156.34104290  162.83574710 
##          3366          3367          3368          3369          3370 
##  157.39637443  172.36996700  158.73980557  162.74704117  185.23039357 
##          3371          3372          3373          3374          3375 
##  216.84328089  236.84332434  269.22236452  283.33770339  298.39782852 
##          3376          3377          3378          3379          3380 
##  305.51232005  323.59316854  344.47023969  359.44383225  357.82776330 
##          3381          3382          3383          3384          3385 
##  361.32051815  366.77305510  349.58655824  351.83973844  342.05353519 
##          3386          3387          3388          3389          3390 
##  353.51485730  154.62039066  163.59424417  147.55106148  148.92305433 
##          3391          3392          3393          3394          3395 
##  157.90106749  158.39187299  151.74378490  186.22245576  218.97793045 
##          3396          3397          3398          3399          3400 
##  246.57983455  259.79521207  276.46161844  297.33868959  299.17364951 
##          3401          3402          3403          3404          3405 
##  311.18635169  331.33717530  338.96614758  344.94221139  341.15990684 
##          3406          3407          3408          3409          3410 
##  331.16193681  332.17138271  314.71791756  318.72515317  319.69769975 
##          3411          3412          3413          3414          3415 
##  135.44700008  141.93754463  143.67208443  158.64983664  165.14038120 
##          3416          3417          3418          3419          3420 
##  166.51237404  186.97122491  208.67381008  234.18581142  253.45660131 
##          3421          3422          3423          3424          3425 
##  262.07206752  278.63316732  299.95931798  302.48851257  319.25606587 
##          3426          3427          3428          3429          3430 
##  325.75077007  333.43541568  345.41121854  326.52102633  322.25094062 
##          3431          3432          3433          3434          3435 
##  325.29461595  316.57727954  307.70312288  315.43740173  141.89581864 
##          3436          3437          3438          3439          3440 
##  136.28573816  140.29297376  131.95695832  118.06539687  124.56010107 
##          3441          3442          3443          3444          3445 
##  131.67459260  146.29052467  181.22243469  174.56045905  194.12839465 
##          3446          3447          3448          3449          3450 
##  209.10198722  142.56056646  226.33780608  234.78813274  209.08168855 
##          3451          3452          3453          3454          3455 
##  233.66702894  249.50792129  246.65227769  236.91570769  233.68362958 
##          3456          3457          3458          3459          3460 
##  248.24804797  255.98232682  251.88294892   72.75080096   55.30706372 
##          3461          3462          3463          3464          3465 
##   63.04134258   56.72078256   61.97175246   68.46645666   73.71742656 
##          3466          3467          3468          3469          3470 
##  105.12874684  116.59006894  124.32434780  174.17423684  180.66478140 
##          3471          3472          3473          3474          3475 
##  189.64279455  218.57080587  232.30482378  248.52215065  255.01685485 
##          3476          3477          3478          3479          3480 
##  274.65019170  270.48541256  263.73690435  238.42990643  213.93586549 
##          3481          3482          3483          3484          3485 
##  221.67014434  224.18171854   34.75679383   44.35043467   61.76186259 
##          3486          3487          3488          3489          3490 
##   77.56585563   82.81682553   77.77085904   87.98844685   95.72272570 
##          3491          3492          3493          3494          3495 
##  141.78197259  149.51625145  188.51481801  223.86078867  241.32184983 
##          3496          3497          3498          3499          3500 
##  271.13104850  255.08297937  271.50675973  280.48477289  290.17883384 
##          3501          3502          3503          3504          3505 
##  259.80479789  259.46936257  244.35284083  273.65728666  275.39182646 
##          3506          3507          3508          3509          3510 
##  277.22678638   94.37175480  104.58934261  101.63327889  109.36755775 
##          3511          3512          3513          3514          3515 
##  133.37858441  127.31942441  136.91722489  154.71789935  207.86452614 
##          3516          3517          3518          3519          3520 
##  197.74663518  220.84977490  241.28985176  264.39299148  270.88353604 
##          3521          3522          3523          3524          3525 
##  289.94671880  310.54777556  315.17895814  309.42667176  312.81412004 
##          3526          3527          3528          3529          3530 
##  308.28263430  301.58491297  302.95690582  291.15524714  286.64253542 
##          3531          3532          3533          3534          3535 
##   98.41171176   96.10629460  110.15322622   89.45029925  112.47899164 
##          3536          3537          3538          3539          3540 
##  120.21327049  112.65313582  161.03471176  204.55081671  226.59717482 
##          3541          3542          3543          3544          3545 
##  249.59500797  262.63967767  287.17423118  290.73238727  312.52150500 
##          3546          3547          3548          3549          3550 
##  304.16671554  320.28778194  315.29748878  297.53667819  304.03138239 
##          3551          3552          3553          3554          3555 
##  301.95234637  299.96400257  290.74191332  302.20323542  113.44472527 
##          3556          3557          3558          3559          3560 
##  117.73213490  127.94972271  129.68426251  121.79244012  116.71561440 
##          3561          3562          3563          3564          3565 
##  123.20615896  132.80395944  157.75184678  199.90918295  212.33406532 
##          3566          3567          3568          3569          3570 
##  241.69418448  272.74711745  283.58449258  307.49437232  307.11787802 
##          3571          3572          3573          3574          3575 
##  314.85215688  320.10312678  297.53667819  211.63238502  219.36666388 
##          3576          3577          3578          3579          3580 
##  240.58750796  272.62277521  281.59662872  107.44498621   45.99361524 
##          3581          3582          3583          3584          3585 
##   66.45246611   89.45029925   81.92102382   89.65530267   97.38958153 
##          3586          3587          3588          3589          3590 
##  118.20125143  122.20848704  187.71297925  209.30052993  208.55176078 
##          3591          3592          3593          3594          3595 
##  224.76908764  246.19638523  273.46660162  294.86231316  298.24976144 
##          3596          3597          3598          3599          3600 
##  299.27682772  307.01110657  243.04925524  218.08603026  218.99016958 
##          3601          3602          3603          3604          3605 
##  206.77029063  212.64520750   73.50826278   95.88630860   79.00668536 
##          3606          3607          3608          3609          3610 
##   86.74096421   79.18082954  108.12272842  115.56710533  123.30138418 
##          3611          3612          3613          3614          3615 
##  151.88562256  171.55397829  206.84427562  245.13652230  252.87080115 
##          3616          3617          3618          3619          3620 
##  265.10800403  266.94369076  276.07363772  286.29122552  290.14652733 
##          3621          3622          3623          3624          3625 
##  296.64123153  288.71854990  283.22350390  298.19709647  307.17510962 
##          3626          3627          3628          3629          3630 
##  294.52312283  114.15140021   96.50609593  104.24037478   83.89999477 
##          3631          3632          3633          3634          3635 
##   88.53117734   98.12481818  105.85909703  112.35380123  143.76512151 
##          3636          3637          3638          3639          3640 
##  132.51296246  166.92623209  181.07847028  204.38317705  221.56406418 
##          3641          3642          3643          3644          3645 
##  241.20156067  255.14203208  257.90969303  253.74491390  262.71876740 
##          3646          3647          3648          3649          3650 
##  254.79608578  243.80116711  255.26248922  266.09986435  273.83414321 
##          3651          3652          3653          3654          3655 
##   93.46242059  115.88594001  122.38064421  114.45796259  122.19224144 
##          3656          3657          3658          3659          3660 
##  144.33974648  137.66079915  146.63465266  166.30300839  182.41991513 
##          3661          3662          3663          3664          3665 
##  198.63724200  199.13220714  230.69962086  229.95085171  242.43140741 
##          3666          3667          3668          3669          3670 
##  241.68263826  250.65649177  259.63450492  264.88547483  258.23322709 
##          3671          3672          3673          3674          3675 
##  256.60743023  245.26457898  251.75928318  251.80100917   58.56250864 
##          3676          3677          3678          3679          3680 
##   81.22865408   91.44624188   77.10560092   96.32487714  102.81542169 
##          3681          3682          3683          3684          3685 
##  112.15598180  140.72144617  147.21615037  154.95042923  188.62471739 
##          3686          3687          3688          3689          3690 
##  215.43612636  241.00380102  266.84749008  272.65284607  278.52360329 
##          3691          3692          3693          3694          3695 
##  303.27965150  282.15850425  288.64904881  278.54993185  290.63104128 
##          3696          3697          3698          3699          3700 
##  288.01875051  296.99676366  303.55686910  115.00897209   97.82247523 
##          3701          3702          3703          3704          3705 
##  108.04006304  131.96455714  149.68285868  137.15610610  143.64665065 
##          3706          3707          3708          3709          3710 
##  152.62466381  148.45572502  172.78382504  193.66089618  197.60273055 
##          3711          3712          3713          3714          3715 
##  219.71937635  229.66094977  238.63896292  213.55230606  221.28658492 
##          3716          3717          3718          3719          3720 
##  186.32236557  193.43685710  191.18711327  205.12758469  214.72538517 
##          3721          3722          3723          3724          3725 
##  232.97090138  227.94486254   31.42839828   42.55012541   52.14792589 
##          3726          3727          3728          3729          3730 
##   59.88220474   82.82436456   89.31906877  108.89673228  117.87474544 
##          3731          3732          3733          3734          3735 
##  131.09012295  132.09956885  141.07758200  148.81186086  142.21528645 
##          3736          3737          3738          3739          3740 
##  149.32977798  148.68631540  156.42059426  176.87944512  184.61372398 
##          3741          3742          3743          3744          3745 
##  193.58757749  196.35523844  203.46972997  200.34295843  204.96998136 
##          3746          3747          3748          3749          3750 
##   25.84199304   34.81584655   41.31055075   49.97753064   58.95554380 
##          3751          3752          3753          3754          3755 
##   52.72151634   89.35596808   96.47045961   91.48016645  113.79837930 
##          3756          3757          3758          3759          3760 
##  121.53265816  101.60561197  113.99963511  139.14908949  126.92921053 
##          3761          3762          3763          3764          3765 
##  146.23990577  169.58151186  177.31579071  185.05006957  192.78434842 
##          3766          3767          3768          3769          3770 
##  204.24567053  211.97994938  202.86316670  211.83702021    7.18308321 
##          3771          3772          3773          3774          3775 
##   37.96000180   49.08172893   60.54305103   68.27732989   79.11470502 
##          3776          3777          3778          3779          3780 
##   84.36567493   93.33952843   83.96550538  112.22825578  124.92915254 
##          3781          3782          3783          3784          3785 
##  142.01377919  193.94753092  218.27147129  178.92352205  166.08385576 
##          3786          3787          3788          3789          3790 
##  173.81813462  184.65550975  164.41554986  187.39460899  197.30532318 
##          3791          3792          3793          3794          3795 
##  177.68515061  185.41942947   38.60835083   18.36839093   29.82555339 
##          3796          3797          3798          3799          3800 
##   59.63475206   63.64614731   70.13669187   55.79605091   68.49694767 
##          3801          3802          3803          3804          3805 
##   94.58326273  102.31754159   81.14676110  110.95595977  123.34998291 
##          3806          3807          3808          3809          3810 
##  199.36438197  227.05281864  248.02615026  261.34683434  237.12747727 
##          3811          3812          3813          3814          3815 
##  242.37844718  204.27423224  188.95125700  212.91265041  196.03302717 
##          3816          3817          3818          3819          3820 
##  207.49434928   25.87889236   33.61317122   25.29104333   41.94356215 
##          3821          3822          3823          3824          3825 
##   60.54305103   70.13669187   79.11470502   98.32982159  127.26199256 
##          3826          3827          3828          3829          3830 
##  155.84623094  207.98758980  231.43450246  237.92920666  262.99212849 
##          3831          3832          3833          3834          3835 
##  270.72640734  275.97737724  282.46792180  291.44593495  286.91444922 
##          3836          3837          3838          3839          3840 
##  287.47481560  261.29078998  239.96807569  243.97531129  221.15162233 
##          3841          3842          3843          3844          3845 
##   43.26320866   50.99748751   97.35944838  100.75105630   90.39053932 
##          3846          3847          3848          3849          3850 
##   98.12481818   89.35596808   92.74341636  135.69540732  161.26308199 
##          3851          3852          3853          3854          3855 
##  197.43456666  205.16884552  212.90312437  249.17991562  259.70437705 
##          3856          3857          3858          3859          3860 
##  282.90377725  290.63805610  291.54219543  267.06559798  248.89676684 
##          3861          3862          3863          3864          3865 
##  243.45739417  260.01849397  283.89636084  241.42654131   37.63990411 
##          3866          3867          3868          3869          3870 
##   41.64713971   49.38141857   51.81249056   83.18806514   90.92234400 
##          3871          3872          3873          3874          3875 
##  103.34722637  134.76270629  167.20714771  205.96724792  228.08389372 
##          3876          3877          3878          3879          3880 
##  255.35411010  253.00321935  269.58309316  280.57656174  284.58379735 
##          3881          3882          3883          3884          3885 
##  292.78592973  290.70689371  284.93583332  265.42700741  255.26248922 
##          3886          3887          3888          3889          3890 
##  235.54189653  240.79286643   42.95029495   61.28838382   84.62998991 
##          3891          3892          3893          3894          3895 
##   72.41011095   64.84997628   72.58425513   84.66536457  107.07426962 
##          3896          3897          3898          3899          3900 
##  124.32960409  170.93419097  189.87817960  220.48203306  241.75251039 
##          3901          3902          3903          3904          3905 
##  266.81543221  276.41323269  282.90377725  287.53495982  295.26923868 
##          3906          3907          3908          3909          3910 
##  274.62198504  260.73042360  254.40986358  243.07117197  249.56171652 
##          3911          3912          3913          3914          3915 
##  256.05642073   77.54821973   85.28249859   69.33557638   67.39270617 
##          3916          3917          3918          3919          3920 
##   88.53117734   81.62168923   89.35596808  112.35380123  127.26199256 
##          3921          3922          3923          3924          3925 
##  150.25982571  192.41716188  219.22857085  246.41225467  266.43899770 
##          3926          3927          3928          3929          3930 
##  283.95573220  299.29187171  297.24785458  304.98213343  281.85157084 
##          3931          3932          3933          3934          3935 
##  260.78609693  311.69645541  282.47473475  286.48197035  279.83388226 
##          3936          3937          3938          3939          3940 
##  103.18504325  112.16305640  104.24037478  111.35486631  104.44537820 
##          3941          3942          3943          3944          3945 
##  107.83282647  110.82571494  136.03084265  156.57622608  173.62395342 
##          3946          3947          3948          3949          3950 
##  190.15419399  206.09550647  207.48627333  218.42406858  231.74475267 
##          3951          3952          3953          3954          3955 
##  226.30537999  195.57664457  178.66616210  224.41806354  221.25554632 
##          3956          3957          3958          3959          3960 
##  231.88646795  239.62074681  232.34871174  237.59968165   46.53761645 
##          3961          3962          3963          3964          3965 
##   61.51120902   59.82973883   66.32028339   75.29829654   64.01111862 
##          3966          3967          3968          3969          3970 
##   83.59294178   98.50113311  116.89489530  160.66824064  187.47964960 
##          3971          3972          3973          3974          3975 
##  189.00357625  208.56662541  227.35379379  235.55592617  245.77351397 
##          3976          3977          3978          3979          3980 
##  239.97159435  246.46213891  246.95710405  243.63849339  244.54263271 
##          3981          3982          3983          3984          3985 
##  235.31081555  233.62934536  259.26242127   51.28389330   56.53486320 
##          3986          3987          3988          3989          3990 
##   42.44173471   73.24299557   80.97727442   89.95528758  100.17287538 
##          3991          3992          3993          3994          3995 
##   96.05960993  106.27719774  138.67012548  151.42669557  161.36826899 
##          3996          3997          3998          3999          4000 
##  171.22330984  175.59309240  174.84432324  182.57860210  205.96984143 
##          4001          4002          4003          4004          4005 
##  199.29089411  207.02517296  219.51545658  227.24973543  224.29367171 
##          4006          4007          4008          4009          4010 
##  233.27168487  207.96468695   43.16339224   50.89767110   44.60797031 
##          4011          4012          4013          4014          4015 
##   49.85894021   69.44076338   77.17504224   86.14889574  107.90715424 
##          4016          4017          4018          4019          4020 
##  116.88100775  139.90970013  137.97702965  161.36826899  178.54915612 
##          4021          4022          4023          4024          4025 
##  199.42622726  220.33415765  219.58538849  215.38975012  224.36360363 
##          4026          4027          4028          4029          4030 
##  236.85804689  222.96648544  230.08097697  237.81525582  245.54953468 
##          4031          4032          4033          4034          4035 
##  257.62648447   65.32484462   70.57581452   79.54966803   71.98953336 
##          4036          4037          4038          4039          4040 
##   80.96754651   89.94140002   98.91941318   96.04988202  115.35153115 
##          4041          4042          4043          4044          4045 
##  148.10700584  167.74034269  181.40895936  194.52318995  217.23112115 
##          4046          4047          4048          4049          4050 
##  233.03511419  242.01312735  247.26409725  226.57089819  221.13152552 
##          4051          4052          4053          4054          4055 
##  227.62622972  236.60008323  245.57809639  253.31237524  251.68241874 
##          4056          4057          4058          4059          4060 
##   96.60826140   88.71643901  103.96604596  120.18337282  125.37866940 
##          4061          4062          4063          4064          4065 
##  119.66328234  113.34688196  117.97390489  105.06883737  101.31811887 
##          4066          4067          4068          4069          4070 
##  121.77696973  110.85649841  120.17412485  131.01565963  167.97763945 
##          4071          4072          4073          4074          4075 
##  172.60882203  165.69933391  169.08678219  150.04580980  167.14016437 
##          4076          4077          4078          4079          4080 
##  151.19740181  158.93168066  154.24826112  161.98253998  -17.49338092 
##          4081          4082          4083          4084          4085 
##   -3.55779597    1.34940100   13.15449604   19.64504060   23.93245023 
##          4086          4087          4088          4089          4090 
##   44.11528672   68.35269452   76.08697337   90.65139176  105.88638435 
##          4091          4092          4093          4094          4095 
##  141.68143451  160.10605594  169.08406910  115.33986536  122.10642430 
##          4096          4097          4098          4099          4100 
##  119.32342571  125.81812991  147.51655543  178.62516173  171.38162859 
##          4101          4102          4103          4104          4105 
##  193.17074632  178.77074420  186.50502306   -8.14791958   16.35088825 
##          4106          4107          4108          4109          4110 
##   35.30876444   32.78300622   22.78919584   58.51160100   77.19346281 
##          4111          4112          4113          4114          4115 
##   81.16379909   92.31824758  124.07750044  132.43156662  134.52865337 
##          4116          4117          4118          4119          4120 
##  138.53588897  160.65669442  137.81423144  145.54851029  157.62961973 
##          4121          4122          4123          4124          4125 
##  167.84720754  175.58148639  176.48562572  171.49533256  179.22961141 
##          4126          4127          4128          4129          4130 
##  186.96389027  199.04499970    9.93298870   18.28705488   21.67450316 
##          4131          4132          4133          4134          4135 
##   44.35942260   51.47391413   61.06755496   67.56225917   87.40620916 
##          4136          4137          4138          4139          4140 
##  107.95159259  142.79281041  156.46142708  184.59894326  214.57884974 
##          4141          4142          4143          4144          4145 
##  222.31312860  239.23677535  241.85250250  251.45030298  248.49423926 
##          4146          4147          4148          4149          4150 
##  238.73889524  230.81621362  238.55049248  229.38407655  237.11835541 
##          4151          4152          4153          4154          4155 
##  229.58907997   51.70066630   60.67867946   53.11854478   58.36951469 
##          4156          4157          4158          4159          4160 
##   44.37264667   70.41790276   76.91260697   99.91044012  147.02950774 
##          4161          4162          4163          4164          4165 
##  178.23322088  202.83733528  255.48344699  271.44353347  279.07250575 
##          4166          4167          4168          4169          4170 
##  289.29009356  284.29980040  293.89760088  298.52462381  289.81144705 
##          4171          4172          4173          4174          4175 
##  266.57926571  216.98032550  206.93688188  236.22255369  233.00924960 
##          4176          4177          4178          4179          4180 
##   69.44752955   91.60892214   86.16954947   90.48781834  111.30921616 
##          4181          4182          4183          4184          4185 
##  110.62584824  105.21733480  126.09440595  137.27971367  148.79254946 
##          4186          4187          4188          4189          4190 
##  185.82644748  204.61361585  220.73468225  234.83124711  253.61841549 
##          4191          4192          4193          4194          4195 
##  256.84977031  260.70507211  254.90315249  230.66918106  244.93645373 
##          4196          4197          4198          4199          4200 
##  209.80641303  184.24217474  200.97398235  195.05098816   13.43553125 
##          4201          4202          4203          4204          4205 
##   21.16981010   24.21348544   29.40878201   41.48989144   60.14089402 
##          4206          4207          4208          4209          4210 
##   55.15060086   50.16030770   92.69407838  115.72277077  155.62129869 
##          4211          4212          4213          4214          4215 
##  179.58269211  236.57563439  259.15524726  258.40647811  285.22761498 
##          4216          4217          4218          4219          4220 
##  286.59960783  279.43776579  243.81197335  264.78530497  274.22212555 
##          4221          4222          4223          4224          4225 
##  232.28071933  240.01499818  258.35308705   56.71807108   38.55412640 
##          4226          4227          4228          4229          4230 
##   46.28840525   36.63836781   32.54387637   51.76315258   42.42602885 
##          4231          4232          4233          4234          4235 
##   53.88735095   92.69407838  120.38251505  132.80739742  199.11862964 
##          4236          4237          4238          4239          4240 
##  274.74935043  263.50207784  262.13352136  289.46913898  290.32665108 
##          4241          4242          4243          4244          4245 
##  287.19571990  302.17347211  231.77977389  214.49701655  217.88446483 
##          4246          4247          4248          4249          4250 
##  220.92814017  200.67429271   21.82231878   25.82955438   33.56383324 
##          4251          4252          4253          4254          4255 
##   36.63836781   44.37264667   52.10692552   59.84120438   71.81700723 
##          4256          4257          4258          4259          4260 
##   79.96950637  120.38251505  164.97164649  232.56839879  259.38953566 
##          4261          4262          4263          4264          4265 
##  267.12381452  276.28950716  275.54073801  279.46144105  257.96801894 
##          4266          4267          4268          4269          4270 
##  293.69042410  223.97634618  232.33041236  214.19732691  189.56578965 
##          4271          4272          4273          4274          4275 
##  209.68086758   14.72105132   30.52015790   38.25443676   41.29811209 
##          4276          4277          4278          4279          4280 
##   36.30781894   44.04209779   47.11663236   72.23522751  104.61426770 
##          4281          4282          4283          4284          4285 
##  129.76372208  157.47093276  193.97646247  260.25683545  287.59245308 
##          4286          4287          4288          4289          4290 
##  295.32673193  296.80403136  292.89649260  277.47309724  282.98130752 
##          4291          4292          4293          4294          4295 
##  218.06313969  246.68427739  207.63347386  215.36775271  219.06207461 
##          4296          4297          4298          4299          4300 
##   36.82683037   30.87297694   40.46661778   59.68589399   68.65974750 
##          4301          4302          4303          4304          4305 
##   70.80762112   92.87275324   90.00322209  118.31144608  170.09025799 
##          4306          4307          4308          4309          4310 
##  183.41094208  183.90590722  191.64018608  200.61403958  204.62543483 
##          4311          4312          4313          4314          4315 
##  199.57946835  222.57730150  218.77090966  225.26561386  213.04573491 
##          4316          4317          4318          4319          4320 
##  220.78001376  237.87436833  230.31423366  241.77555576   57.67678989 
##          4321          4322          4323          4324          4325 
##   65.41106875   79.35569981   59.72163968   71.18296179   89.15850370 
##          4326          4327          4328          4329          4330 
##   93.78552663  107.11037037  114.84464922  125.06223703  130.31320693 
##          4331          4332          4333          4334          4335 
##  122.83960482  143.29845569  146.68590397  144.17891976  150.66946432 
##          4336          4337          4338          4339          4340 
##  174.54848481  164.89844737  168.90568298  176.63996183  183.13466603 
##          4341          4342          4343          4344          4345 
##  178.14437288  197.98343642  205.71771527   29.68866358   31.83653721 
##          4346          4347          4348          4349          4350 
##   39.57081606   42.65023709   46.66163234   54.39591119   61.51040272 
##          4351          4352          4353          4354          4355 
##   71.10404356   76.97896043   89.99277090   98.96662441  151.20840339 
##          4356          4357          4358          4359          4360 
##  143.64826871  173.50710063  202.43511195  210.16939080  232.29019625 
##          4361          4362          4363          4364          4365 
##  208.16709965  215.90137851  219.91277376  232.61367052  236.62090612 
##          4366          4367          4368          4369          4370 
##  244.35518497  232.13530602   37.17964941   46.77329024   51.06069988 
##          4371          4372          4373          4374          4375 
##   57.55124443   67.76883224   74.26353644   95.96196196  103.69624082 
##          4376          4377          4378          4379          4380 
##  105.94942102  107.68396082  129.06947263  124.04343378  131.77771264 
##          4381          4382          4383          4384          4385 
##  188.74348351  288.15166584  292.78284841  298.03381831  284.11508546 
##          4386          4387          4388          4389          4390 
##  291.75794530  301.35574578  292.44657023  289.12795956  259.06495689 
##          4391          4392          4393          4394          4395 
##  264.31592679   92.42725218  106.36772359  103.13564548   99.84789405 
##          4396          4397          4398          4399          4400 
##   89.80445042   90.29941557   86.54381061   88.02111003  153.26836187 
##          4401          4402          4403          4404          4405 
##  198.99176139  223.98928197  244.50380617  274.35847844  301.73031358 
##          4406          4407          4408          4409          4410 
##  313.70611644  326.92149395  334.55462587  308.21934826  288.03090204 
##          4411          4412          4413          4414          4415 
##  258.45152089  272.54808575  296.73397987  313.46578748  307.18024634 
##          4416          4417          4418          4419          4420 
##  116.99520885  113.70745742  101.90579874  109.64007760  119.85766540 
##          4421          4422          4423          4424          4425 
##  126.35236961   99.28715663  118.95135272  138.51928832  197.56034760 
##          4426          4427          4428          4429          4430 
##  215.91540814  250.76078560  261.94193368  294.90017404  292.03064289 
##          4431          4432          4433          4434          4435 
##  314.09577501  298.50167184  279.61632108  282.04020909  276.26914870 
##          4436          4437          4438          4439          4440 
##  287.10652384  291.73770641  311.73359021  313.10558306  118.35149350 
##          4441          4442          4443          4444          4445 
##  137.47034959  145.20462845  155.46884348  131.40557986  131.55261242 
##          4446          4447          4448          4449          4450 
##  154.38946567  158.40086092  178.34107139  200.04365655  207.50192102 
##          4451          4452          4453          4454          4455 
##  221.99793215  239.82154026  234.83124711  245.23651440  227.43511667 
##          4456          4457          4458          4459          4460 
##  248.34304705  229.45400847  240.08493010  230.54019923  214.49701655 
##          4461          4462          4463          4464          4465 
##  217.54069189  220.92814017  200.67429271   35.51045106   25.82955438 
##          4466          4467          4468          4469          4470 
##   19.90656019   27.64083905   35.99490523   56.76666980   80.95256392 
##          4471          4472          4473          4474          4475 
##   75.96227077  116.37527945  128.80016182  161.24460324  241.67123412 
##          4476          4477          4478          4479          4480 
##  261.51029766  284.19105746  284.32347566  274.21047114  269.58272494 
##          4481          4482          4483          4484          4485 
##  261.32835560  227.46566466  252.16603953  249.24083505  247.24833160 
##          4486          4487          4488          4489          4490 
##  232.44888321  241.42273672   63.53432306   71.26860191   79.00288077 
##          4491          4492          4493          4494          4495 
##   53.72788092   45.01470416   99.69873313  120.15758399  157.36103619 
##          4496          4497          4498          4499          4500 
##  122.23099549  129.96527435  115.04174538  125.88328016  136.44464090 
##          4501          4502          4503          4504          4505 
##  139.21230185  132.97827440  159.34060385  167.07488270  162.08458955 
##          4506          4507          4508          4509          4510 
##  198.71488164  182.51487871  201.45886734  218.50659468  226.24087354 
##          4511          4512          4513          4514          4515 
##    1.90910317   21.12421973   30.10223289   36.59277744   38.70375175 
##          4516          4517          4518          4519          4520 
##   45.19429631   52.92857516   75.92640831   96.74780613  134.75431051 
##          4521          4522          4523          4524          4525 
##  159.07825087  168.11193736  216.38820672  208.96007821  238.68274432 
##          4526          4527          4528          4529          4530 
##  247.81269127  254.25172214  231.42803318  223.50535155  230.61984308 
##          4531          4532          4533          4534          4535 
##  202.39742837  179.57373941  187.30801826  177.62712159   -4.92103636 
##          4536          4537          4538          4539          4540 
##   -1.87736103    5.85691783   39.04034071   21.32547554   41.78432641 
##          4541          4542          4543          4544          4545 
##   49.51860526   57.25288412   56.95319448   69.34721761  128.78168307 
##          4546          4547          4548          4549          4550 
##  143.03506819  195.29562118  222.56583757  241.32214672  231.67210927 
##          4551          4552          4553          4554          4555 
##  236.92307918  215.70151181  198.41875448  189.64574474  218.58764362 
##          4556          4557          4558          4559          4560 
##  211.02750894  204.75169571  204.68254686   26.79413319   16.43361622 
##          4561          4562          4563          4564          4565 
##   34.77170508   31.90217393   37.77709080   47.37073164   68.19212946 
##          4566          4567          4568          4569          4570 
##   60.97992737   73.40480974   85.48175953  122.52054400  158.69202867 
##          4571          4572          4573          4574          4575 
##  214.36859165  235.63906898  231.16741622  238.90169507  256.35859659 
##          4576          4577          4578          4579          4580 
##  235.55452270  223.49146400  216.22358858  211.40400324  205.11430245 
##          4581          4582          4583          4584          4585 
##  194.53760406  205.99892617   24.38346925   32.11774810   52.57659897 
##          4586          4587          4588          4589          4590 
##   39.12203182   43.75321439   47.76045000   59.22177210   79.35382171 
##          4591          4592          4593          4594          4595 
##   90.55374379  141.22678954  143.37466317  169.24921145  213.64234412 
##          4596          4597          4598          4599          4600 
##  217.40622690  228.65693586  251.14028825  275.84066313  268.73933588 
##          4601          4602          4603          4604          4605 
##  293.54501732  281.66891131  250.18422275  245.65273701  251.80366828 
##          4606          4607          4608          4609          4610 
##  253.17566112   80.35012584   90.26084002   75.04317136   81.53371592 
##          4611          4612          4613          4614          4615 
##   77.36893678   67.26981982   76.55658704   85.53460019  108.30605220 
##          4616          4617          4618          4619          4620 
##  119.45634104  141.03973208  176.11384799  181.67169151  224.71021504 
##          4621          4622          4623          4624          4625 
##  242.58533683  243.90165635  246.51738350  247.07774989  221.15096464 
##          4626          4627          4628          4629          4630 
##  218.79591424  194.30054278  202.03482164  207.19925898  199.66998354 
##          4631          4632          4633          4634          4635 
##   11.17775986    1.49686318    9.23114204   -0.41889540    7.31538345 
##          4636          4637          4638          4639          4640 
##    6.59511622   39.23555643   30.17444708   46.63928641   84.51331281 
##          4641          4642          4643          4644          4645 
##  125.34454177  168.74561224  185.92649937  211.51294805  212.00375355 
##          4646          4647          4648          4649          4650 
##  232.91168393  228.71604556  214.46193716  195.93544553  187.43845017 
##          4651          4652          4653          4654          4655 
##  171.49568761  178.61017914  174.58344625  176.69442055   -0.26129208 
##          4656          4657          4658          4659          4660 
##    7.47298677   -2.17705067    5.55722819   13.29150704   16.33518238 
##          4661          4662          4663          4664          4665 
##   19.40971695   27.14399581   23.75998390   38.01336902   65.28358540 
##          4666          4667          4668          4669          4670 
##  129.07092153  163.01633763  231.38293061  272.32919405  277.58016395 
##          4671          4672          4673          4674          4675 
##  254.65116841  264.52498328  230.73493735  234.12238563  202.39742837 
##          4676          4677          4678          4679          4680 
##  186.45955227  186.34445799  181.35416484   -1.19399311  -10.25510246 
##          4681          4682          4683          4684          4685 
##   10.54752135   18.28180020   21.32547554   28.12705336   36.79403325 
##          4686          4687          4688          4689          4690 
##   44.21539840   43.88484952   74.03782113  133.44142736  169.35151201 
##          4691          4692          4693          4694          4695 
##  214.45512421  234.48602689  250.75902708  263.18390945  267.46715944 
##          4696          4697          4698          4699          4700 
##  273.45711080  245.14816353  234.12238563  191.79361836  199.52789722 
##          4701          4702          4703          4704          4705 
##  174.58344625  195.04229712    4.42931144    7.47298677   -2.17705067 
##          4706          4707          4708          4709          4710 
##    5.55722819   26.01607906   29.05975439   36.79403325   44.52831210 
##          4711          4712          4713          4714          4715 
##   44.22862246   56.62264560  118.79766039  162.11219830  213.12901699 
##          4716          4717          4718          4719          4720 
##  220.86329585  239.65046423  256.23033804  256.35859659  214.51761049 
##          4721          4722          4723          4724          4725 
##  209.10909705  206.23956590  199.02320416  176.19951519  183.93379405 
##          4726          4727          4728          4729          4730 
##  186.97746939   13.77965924   21.51393809    9.71227942   21.17360152 
##          4731          4732          4733          4734          4735 
##   28.90788038   11.76685711   19.50113597   55.21381322   64.53559932 
##          4736          4737          4738          4739          4740 
##   77.54940978  107.66548207  171.42564679  168.56584354  118.55841096 
##          4741          4742          4743          4744          4745 
##  110.46502152  131.54365972  140.86544581  148.59972467  153.85069457 
##          4746          4747          4748          4749          4750 
##  185.27590240  209.88974471  226.98409927  244.44516044  238.72977338 
##          4751          4752          4753          4754          4755 
##   68.38754704   66.05543030   67.26644324   62.79063084   70.52490969 
##          4756          4757          4758          4759          4760 
##  106.19164152  116.16587651  125.45264373  143.89603917  153.68567878 
##          4761          4762          4763          4764          4765 
##  167.43431106  177.37588448  183.87058868  238.64234884  242.65374409 
##          4766          4767          4768          4769          4770 
##  229.82380572  240.19748697  227.97760802  237.29523446  241.30662971 
##          4771          4772          4773          4774          4775 
##  250.28048322  239.36001189  265.74904093  256.41607684   25.18429600 
##          4776          4777          4778          4779          4780 
##   32.91857486   32.88028524   27.17951255    4.35582358   34.87550178 
##          4781          4782          4783          4784          4785 
##   36.36252912   45.33638262   73.02481929  112.61647360  130.00797388 
##          4786          4787          4788          4789          4790 
##  175.94802663  218.93087683  252.98159950  265.99540997  292.64583903 
##          4791          4792          4793          4794          4795 
##  292.77409758  291.57624891  227.22823516  254.41191898  263.38993214 
##          4796          4797          4798          4799          4800 
##  277.48649700  283.97704155  260.00031050   83.35147148   55.41895872 
##          4801          4802          4803          4804          4805 
##   83.17695627   76.88725548   84.62153434   91.02970598   86.91644052 
##          4806          4807          4808          4809          4810 
##   93.71801835  105.21623977  165.17007244  205.32584074  229.92579550 
##          4811          4812          4813          4814          4815 
##  275.02940769  282.76368655  300.41242720  262.24885111  311.53831398 
##          4816          4817          4818          4819          4820 
##  314.21944237  321.95372122  321.99544721  325.48820206  313.61209604 
##          4821          4822          4823          4824          4825 
##  316.33312976  294.44214183   98.96784482   98.83886299  109.05645080 
##          4826          4827          4828          4829          4830 
##  100.54484108  105.79581099  114.76966449  110.66055869  119.63441219 
##          4831          4832          4833          4834          4835 
##  140.14893639  158.16438364  177.17793316  200.65570506  222.15256353 
##          4836          4837          4838          4839          4840 
##  276.51026306  293.09013687  300.09932183  307.31496028  308.21909961 
##          4841          4842          4843          4844          4845 
##  267.93844934  310.70584493  320.92343274  328.65771159  306.66926455 
##          4846          4847          4848          4849          4850 
##  290.26353492  114.85843021  128.59244812  125.98015734  123.67889983 
##          4851          4852          4853          4854          4855 
##  143.31223668  137.28393591  150.09129288  147.78587572  153.03684562 
##          4856          4857          4858          4859          4860 
##  173.29412944  189.09812248  193.10535808  179.62713046  213.64095382 
##          4861          4862          4863          4864          4865 
##  223.85854162  225.38246827  211.46004760  208.50398388  219.96530598 
##          4866          4867          4868          4869          4870 
##  230.80268112  203.35614718  224.49461835  200.16995471  195.17966155 
##          4871          4872          4873          4874          4875 
##   12.94441731   24.40573942   32.75980560   40.49408445   35.81066492 
##          4876          4877          4878          4879          4880 
##   55.96264216   63.07713369   67.08436929   74.81864815   82.55292700 
##          4881          4882          4883          4884          4885 
##   90.28720586  101.74852797   93.03119156  119.07644766  114.08615450 
##          4886          4887          4888          4889          4890 
##  137.99603423  145.73031309  169.91204756  181.02959673  188.76387558 
##          4891          4892          4893          4894          4895 
##  191.83841015  195.22585843  195.78622481  199.79346042   26.87166466 
##          4896          4897          4898          4899          4900 
##   43.60763192   53.82521973   76.51013917  115.11898738   67.30187769 
##          4901          4902          4903          4904          4905 
##  114.42094531  106.80513731  110.46859997  119.44661313  127.18089198 
##          4906          4907          4908          4909          4910 
##  124.31136083  158.37181141  180.79949048  186.05046038  196.26804819 
##          4911          4912          4913          4914          4915 
##  219.30646848  219.43888668  234.81192551  221.71501885  238.29489266 
##          4916          4917          4918          4919          4920 
##  244.78543722  217.27114473  228.45645245   56.56777784   70.26489644 
##          4921          4922          4923          4924          4925 
##   73.65234471   85.54161501   86.63759347   93.12813803  108.35340270 
##          4926          4927          4928          4929          4930 
##  109.84043004  118.81428354  142.26119621  149.03191480  179.86034706 
##          4931          4932          4933          4934          4935 
##  197.72085449  214.35036155  223.01734144  234.99314430  242.72742315 
##          4936          4937          4938          4939          4940 
##  246.22017800  235.24403335  223.02415439  217.15267388  223.64737808 
##          4941          4942          4943          4944          4945 
##  220.41529998  212.42305747   40.84125648   52.05506612   50.37963602 
##          4946          4947          4948          4949          4950 
##   78.80289450   84.98468499   72.64561191   70.31349516   79.63112161 
##          4951          4952          4953          4954          4955 
##  100.50819276  123.27964476  158.00582809  189.18219294  228.66738704 
##          4956          4957          4958          4959          4960 
##  251.66522019  255.77776237  240.07835263  258.52174807  253.00792806 
##          4961          4962          4963          4964          4965 
##  240.84372243  176.85825563  222.39397566  218.58758383  239.09238012 
##          4966          4967          4968          4969          4970 
##  249.30996792   62.48858316   46.70264085   58.88001076   69.41051227 
##          4971          4972          4973          4974          4975 
##   78.38852543   84.87906998   65.41987732   76.25725245   98.04637018 
##          4976          4977          4978          4979          4980 
##  136.75683714  150.47696749  169.52137625  191.72871426  230.88826073 
##          4981          4982          4983          4984          4985 
##  238.62253958  246.35681844  252.84736299  226.67306528  244.18979977 
##          4986          4987          4988          4989          4990 
##  240.90204834  248.63632719  215.20882822  223.25602078  201.62039278 
##          4991          4992          4993          4994          4995 
##   23.73197911   17.13540471   24.86968356   17.30954889   25.04382774 
##          4996          4997          4998          4999          5000 
##   31.84540557   40.51238545   32.46862926   45.82621266   75.63541133 
##          5001          5002          5003          5004          5005 
##   96.05736288  134.40528289  164.67328898  212.31588346  229.83261795 
##          5006          5007          5008          5009          5010 
##  243.30939549  251.04367434  261.41319595  239.03858650  222.91255908 
##          5011          5012          5013          5014          5015 
##  282.82091815  249.04060013  243.63208669  250.40280528   60.24862703 
##          5016          5017          5018          5019          5020 
##   37.06239111   43.55709531   34.75322634   27.22395090   53.05302559 
##          5021          5022          5023          5024          5025 
##   72.01090178   57.91777329   65.65205214   89.26967262  136.03107975 
##          5026          5027          5028          5029          5030 
##  150.38904463  183.28256557  190.05328416  207.23417129  219.62819443 
##          5031          5032          5033          5034          5035 
##  227.36247328  196.50481582  214.87140660  199.12048318  206.85476203 
##          5036          5037          5038          5039          5040 
##  214.58904089  226.98306403  208.13949904   33.70211424   30.21279576 
##          5041          5042          5043          5044          5045 
##   16.80485583   41.95431022   19.54884153   40.00769240   17.63308294 
##          5046          5047          5048          5049          5050 
##   42.75167809   50.48595695   80.29515562   93.61583970  102.59385286 
##          5051          5052          5053          5054          5055 
##  115.01873523  175.74844867  192.89847657  203.11606438  220.57712554 
##          5056          5057          5058          5059          5060 
##  177.06029730  189.81198094  186.94244978  186.25304178  186.80368026 
##          5061          5062          5063          5064          5065 
##  177.15364282  184.88792167    1.68911716   10.38695628   18.12123514 
##          5066          5067          5068          5069          5070 
##   25.85551399   28.58627562   36.32055448   30.71047400   50.43034341 
##          5071          5072          5073          5074          5075 
##   51.80233626   80.64797466   88.38225351   96.11653237  141.83993189 
##          5076          5077          5078          5079          5080 
##  164.21797772  186.05860913  186.91612123  223.08760590  178.70347787 
##          5081          5082          5083          5084          5085 
##  191.12836024  203.52238338  204.99968281  194.72985804  204.32349887 
##          5086          5087          5088          5089          5090 
##  216.71752201   78.33797770   53.39352673   58.90173701   66.63601587 
##          5091          5092          5093          5094          5095 
##   73.49326702   81.22754587   74.06081738   82.72779727   90.46207613 
##          5096          5097          5098          5099          5100 
##   99.44008928  109.65767709  116.14822164  109.91835383  116.40889839 
##          5101          5102          5103          5104          5105 
##  130.07751506  141.22780390  142.09504391  148.58974811  158.80733592 
##          5106          5107          5108          5109          5110 
##  167.16140210  174.89568095  173.62338494  184.77783343  192.51211229 
##          5111          5112          5113          5114          5115 
##   11.20352899   26.08086108   32.57556528   40.30984414   45.56081404 
##          5116          5117          5118          5119          5120 
##   53.29509289   76.27299840   61.62059737   65.00804565   83.29534764 
##          5121          5122          5123          5124          5125 
##   84.20364661   91.93792546  101.53156630  111.74915410  119.48343296 
##          5126          5127          5128          5129          5130 
##  136.49541461  142.98595916  138.92648660  158.14160317  157.59989122 
##          5131          5132          5133          5134          5135 
##  165.33417008  158.75148322  131.95739819  141.86811237  -22.33216902 
##          5136          5137          5138          5139          5140 
##    0.60999080   50.70014855   58.13124161   63.34531219   57.32305151 
##          5141          5142          5143          5144          5145 
##   86.62749734   81.27465723  102.09605505  120.53945049  130.48102391 
##          5146          5147          5148          5149          5150 
##  149.11813892  155.29992942  175.29581322  196.51665730  208.63466606 
##          5151          5152          5153          5154          5155 
##  214.19250958  209.72085682  202.01851626  196.30312920  195.55436004 
##          5156          5157          5158          5159          5160 
##  209.89843737  201.65868240  192.88983230   30.60874587   38.34302473 
##          5161          5162          5163          5164          5165 
##   35.47349357   17.30954889   25.04382774   32.77810660   39.57968442 
##          5166          5167          5168          5169          5170 
##   57.91777329   58.55078468   70.01210678  108.83760823  120.29477069 
##          5171          5172          5173          5174          5175 
##  166.81282500  203.74630289  223.69067301  231.42495186  185.00659439 
##          5176          5177          5178          5179          5180 
##  183.01825059  201.66925316  209.40353201  165.37222302  185.83107389 
##          5181          5182          5183          5184          5185 
##  163.45646444  183.91531530   -3.66721910   25.21900645   62.94713913 
##          5186          5187          5188          5189          5190 
##   70.68141798   61.20208835   77.36374189   72.01090178   74.11771644 
##          5191          5192          5193          5194          5195 
##   93.37877843  111.14671321  140.13039786  158.51811997  183.21849484 
##          5196          5197          5198          5199          5200 
##  218.94090000  229.31458126  231.92614876  242.60670364  227.90351573 
##          5201          5202          5203          5204          5205 
##  227.04944000  232.57642429  239.52993592  223.48675323  238.54687836 
##          5206          5207          5208          5209          5210 
##  230.10971599   41.56181898   18.28905050   40.43655553   39.38091276 
##          5211          5212          5213          5214          5215 
##   43.69918163   62.96024362   71.03829541   91.91536656   65.29923310 
##          5216          5217          5218          5219          5220 
##  103.59147978  152.48753647  183.96841762  191.70269648  217.27037114 
##          5221          5222          5223          5224          5225 
##  231.36693601  243.34273886  251.07701772  245.66850428  195.24773788 
##          5226          5227          5228          5229          5230 
##  188.13668272  196.80782225  209.54561833  217.27989719  190.66376373 
##          5231          5232          5233          5234          5235 
##    7.15204551   20.50962892   28.24390777   20.68377310   28.41805195 
##          5236          5237          5238          5239          5240 
##   18.76801451   16.80817263    3.70710632   32.27673034   61.46614168 
##          5241          5242          5243          5244          5245 
##   89.77436567  130.01666654  155.33682874  172.42145539  183.93429118 
##          5246          5247          5248          5249          5250 
##  181.94594738  189.06043891  195.18843651  201.99001433  194.42987966 
##          5251          5252          5253          5254          5255 
##  217.45857204  163.75615408  194.81881496  187.28953952   -5.89328768 
##          5256          5257          5258          5259          5260 
##   -2.81875311    4.91552575    7.95920109   20.38408346   10.70318678 
##          5261          5262          5263          5264          5265 
##   35.85264117   22.36601615   69.64606368  108.30085731  147.01132426 
##          5266          5267          5268          5269          5270 
##  175.88366225  198.98680198  241.59737731  246.22440024  258.20020310 
##          5271          5272          5273          5274          5275 
##  257.00235444  241.88094625  237.26708760  227.67272348  235.40700234 
##          5276          5277          5278          5279          5280 
##  232.08839167  239.82267052  202.55309381   14.06087013   21.79514899 
##          5281          5282          5283          5284          5285 
##   29.52942784   63.16193024   44.99798555   40.00769240   35.01739924 
##          5286          5287          5288          5289          5290 
##   72.89142564   50.48595695  122.71039566  143.61832604  160.25387318 
##          5291          5292          5293          5294          5295 
##  167.47367129  175.82773747  198.65486281  207.00892899  214.74320784 
##          5296          5297          5298          5299          5300 
##  206.76485289  201.71888640  211.62960059  206.22108715  211.74807144 
##          5301          5302          5303          5304          5305 
##  219.48235030  214.07383686   36.18542319   43.91970205   55.06999089 
##          5306          5307          5308          5309          5310 
##   62.80426974   64.91524405   75.13283186   92.31371898   91.56494983 
##          5311          5312          5313          5314          5315 
##  109.02601099  132.38639109  172.61480441  176.83265316  208.04240638 
##          5316          5317          5318          5319          5320 
##  228.02367582  245.57126954  242.59643181  197.75349636  252.06525047 
##          5321          5322          5323          5324          5325 
##  260.41931665  267.53380818  277.13160866  270.44850169  284.11711836 
##          5326          5327          5328          5329          5330 
##  291.85139721   90.18552201   93.57297029   81.07707694   74.75651692 
##          5331          5332          5333          5334          5335 
##  143.10197858  186.06181701  204.04708684  170.17050835  164.17070950 
##          5336          5337          5338          5339          5340 
##  170.66541371  165.32230151  181.53962837  191.75721618  205.85378104 
##          5341          5342          5343          5344          5345 
##  206.32997218  206.11445779  210.74564036  220.96322817  227.45377272 
##          5346          5347          5348          5349          5350 
##  233.94847693  245.12962500  251.62432920  246.18495653  252.67550109 
##          5351          5352          5353          5354          5355 
##   76.33769534   76.46595389   69.78700657   63.13475883   54.33504950 
##          5356          5357          5358          5359          5360 
##   78.60331654   93.85708314  103.79865656  111.53293541  115.81618540 
##          5361          5362          5363          5364          5365 
##  133.27724657  162.41098458  168.28174181  173.06974464  186.85339580 
##          5366          5367          5368          5369          5370 
##  191.48457837  201.39529256  198.10754112  203.32161171  167.82902406 
##          5371          5372          5373          5374          5375 
##  163.97299898  155.25982222  162.99410107  168.58884391   -8.40376804 
##          5376          5377          5378          5379          5380 
##   15.50611169   57.59080286   60.94135182   68.67563068   67.65084713 
##          5381          5382          5383          5384          5385 
##   71.93409712   80.91211028   74.64958090   90.46746150  110.40767197 
##          5386          5387          5388          5389          5390 
##  116.90237617  133.98700282  172.81250427  184.61759931  205.49467046 
##          5391          5392          5393          5394          5395 
##  196.27258121  204.52550046  215.62011597  206.02575186  190.89461576 
##          5396          5397          5398          5399          5400 
##  190.45876031  168.92427924  172.93567449   -5.57252650  -13.13266117 
##          5401          5402          5403          5404          5405 
##   -5.39838232  -15.04841976  -10.14538244  -23.15575654    4.08360061 
##          5406          5407          5408          5409          5410 
##   46.61737130   51.29402747   77.65635692   93.07902900  112.19788509 
##          5411          5412          5413          5414          5415 
##  140.87281568  183.40658637  207.19727197  226.45833396  255.33067195 
##          5416          5417          5418          5419          5420 
##  243.16646632  228.40760508  228.54002328  282.54490376  242.76484669 
##          5421          5422          5423          5424          5425 
##  243.25981183  259.47713870   55.89054574   59.86088203   40.80113563 
##          5426          5427          5428          5429          5430 
##   33.24100096   35.35197526   39.04629716   17.88040313   22.19867200 
##          5431          5432          5433          5434          5435 
##   44.83395820   39.84366504   87.06803924  111.30544704  178.33204525 
##          5436          5437          5438          5439          5440 
##  199.20911640  220.73683411  239.49314325  236.20539182  260.42818525 
##          5441          5442          5443          5444          5445 
##  243.86636217  230.87476209  250.17641122  245.44335844  290.11666513 
##          5446          5447          5448          5449          5450 
##  296.70762981  139.62738989  115.74456200  139.14968889  107.62255107 
##          5451          5452          5453          5454          5455 
##  115.35682992  124.70711793  146.83765129  147.30968278  153.84128630 
##          5456          5457          5458          5459          5460 
##  168.68171907  175.75515164  190.13612828  199.73392876  212.43482552 
##          5461          5462          5463          5464          5465 
##  207.82096687  216.01405315  222.50875735  233.55373962  224.78488953 
##          5466          5467          5468          5469          5470 
##  226.15688237  233.54738829  233.05585951  239.54640407   42.15291210 
##          5471          5472          5473          5474          5475 
##   35.47396478   48.27112201   39.41573936   50.56602820   53.27801582 
##          5476          5477          5478          5479          5480 
##   49.44492440   55.93546895   78.08713363   96.42522250  113.28111070 
##          5481          5482          5483          5484          5485 
##  149.39692205  157.13120090  172.12356748  155.18458308  171.29660337 
##          5486          5487          5488          5489          5490 
##  172.26914995  207.29732044  212.82430473  211.97022901  211.62090612 
##          5491          5492          5493          5494          5495 
##  207.09358003  194.85981352  198.83430945   22.25503132   27.87827609 
##          5496          5497          5498          5499          5500 
##   38.81607134   46.55035020   45.06259958   52.79687844   59.29158264 
##          5501          5502          5503          5504          5505 
##   61.90315014   71.81386433   77.42738118   93.61620613  116.09955852 
##          5506          5507          5508          5509          5510 
##  115.03371602  136.27333412  137.64532696  176.92406757  181.12314231 
##          5511          5512          5513          5514          5515 
##  194.48072571  210.75372590  215.57674762  217.68356228  227.56577454 
##          5516          5517          5518          5519          5520 
##  223.31446284  238.03081503   57.50299896   52.41155888   60.14583773 
##          5521          5522          5523          5524          5525 
##   52.29580111   58.64829942   66.38257828   37.35342356   60.64351597 
##          5526          5527          5528          5529          5530 
##   61.27652736   86.39512251  129.24965437  162.97961587  167.25682577 
##          5531          5532          5533          5534          5535 
##  196.35970455  214.52708561  237.52491876  245.25919761  253.95703673 
##          5536          5537          5538          5539          5540 
##  251.51961341  265.08292351  232.58812556  203.87973202  208.19800089 
##          5541          5542          5543          5544          5545 
##  192.24135077    3.12933977   11.79631966   25.07521797   34.98593216 
##          5546          5547          5548          5549          5550 
##   39.30004138   19.01533470   49.70572071   84.10021633   72.77613908 
##          5551          5552          5553          5554          5555 
##   81.75415224  106.02241928  145.61407358  179.14615586  226.36080215 
##          5556          5557          5558          5559          5560 
##  259.22346385  302.56886100  311.54687415  283.67003471  316.83957004 
##          5561          5562          5563          5564          5565 
##  307.98418738  285.67497917  285.75172403  258.69623897  267.71115144 
##          5566          5567          5568          5569          5570 
##   87.30252951  117.52994846  104.94752255   88.48611959   95.60061112 
##          5571          5572          5573          5574          5575 
##   47.08026566   54.81454451   26.81247086   65.62335794   54.64305363 
##          5576          5577          5578          5579          5580 
##   94.48222041  150.66722405  216.14321434  229.86334469  259.57628289 
##          5581          5582          5583          5584          5585 
##  297.26571392  299.68960193  283.82921228  287.32196714  295.48835383 
##          5586          5587          5588          5589          5590 
##  311.10050773  292.98130983  314.67973535  316.48383604  127.48685952 
##          5591          5592          5593          5594          5595 
##  108.55187552  130.61700763  121.53712427  110.04233922  120.92077332 
##          5596          5597          5598          5599          5600 
##  117.94593559  125.68021444  129.65055073  144.61441538  162.07547654 
##          5601          5602          5603          5604          5605 
##  183.34595387  211.45261082  239.70516149  236.73032376  254.55393187 
##          5606          5607          5608          5609          5610 
##  262.90799805  256.48629110  228.13555806  228.26381661  223.70563129 
##          5611          5612          5613          5614          5615 
##  216.08982328  210.37443622  223.44760784   31.17682723   39.84380712 
##          5616          5617          5618          5619          5620 
##   56.06113398   73.52219515   53.32402102   55.77876827   73.85545711 
##          5621          5622          5623          5624          5625 
##   85.00990560  107.41881065   96.99893252  117.90686290  137.85123302 
##          5626          5627          5628          5629          5630 
##  141.51469568  149.24897454  105.16199222  112.89627107  101.42865743 
##          5631          5632          5633          5634          5635 
##  110.09563731  109.66762934  102.55657418  125.13618705  123.64843644 
##          5636          5637          5638          5639          5640 
##  128.49996007  151.49779322  -26.39062045  -31.38091360  -13.09849807 
##          5641          5642          5643          5644          5645 
##   -0.19978187  153.52021435   -7.68733133    3.49797639   11.23225525 
##          5646          5647          5648          5649          5650 
##   18.96653410   26.70081296  226.77558606  234.50986491  242.24414377 
##          5651          5652          5653          5654          5655 
##  249.97842262  257.71270148  267.93028929  271.31773756  263.94455557 
##          5656          5657          5658          5659          5660 
##  254.26365890  233.14251165  207.99649363  197.89737668  173.57271304 
##          5661          5662          5663          5664          5665 
##    0.68781659  -14.58552540  -13.54757758   16.66106736   11.28105584 
##          5666          5667          5668          5669          5670 
##   19.01533470   14.02504154   34.48389241   41.42767612   37.22787810 
##          5671          5672          5673          5674          5675 
##   52.19174276   72.10761095  102.84951065  125.87820304  122.66489894 
##          5676          5677          5678          5679          5680 
##  121.74542198  126.95533291  133.45003712  144.60032596  131.50341930 
##          5681          5682          5683          5684          5685 
##  141.44499272  164.38715254  175.53744138  179.85571025   -7.34126545 
##          5686          5687          5688          5689          5690 
##    5.08361693   15.30120473   23.03548359   28.28645349   31.67806141 
##          5691          5692          5693          5694          5695 
##   41.27170225   58.59055752   75.32236513   83.99350467   96.41838704 
##          5696          5697          5698          5699          5700 
##  104.15266590  111.88694475  153.94802045  161.68229931  183.46725739 
##          5701          5702          5703          5704          5705 
##  208.94839949  223.92615170  219.75721292  213.07826560  222.05211910 
##          5706          5707          5708          5709          5710 
##  240.47674053  221.91334958  235.58196625   66.43384097   59.49349363 
##          5711          5712          5713          5714          5715 
##   74.40168495   31.06945208   70.77982870   66.95646519   55.12141813 
##          5716          5717          5718          5719          5720 
##   94.66712702  110.91295580  125.83503469  142.41490850  165.00913573 
##          5721          5722          5723          5724          5725 
##  172.46740020  196.70896765  205.68282116  214.66083431  233.14112907 
##          5726          5727          5728          5729          5730 
##  232.64960029  220.15370695  231.92794276  228.33331771  231.68386666 
##          5731          5732          5733          5734          5735 
##  219.20674733  221.35046131   39.73916404   41.84597870   53.03128642 
##          5736          5737          5738          5739          5740 
##   43.43692230   56.20322030   63.93749916   66.08537278   79.40605687 
##          5741          5742          5743          5744          5745 
##   77.41771306   98.32564344  126.77607333  148.07505258  160.83162267 
##          5746          5747          5748          5749          5750 
##  163.44734982  178.16370201  192.26026687  201.58205296  204.19362046 
##          5751          5752          5753          5754          5755 
##  209.44459036  196.34768371  211.68382322  212.18851628  206.43622990 
##          5756          5757          5758          5759          5760 
##  213.24384781   35.04252043   41.53306499   48.64755652   58.60790395 
##          5761          5762          5763          5764          5765 
##   68.46294481   73.71391471   68.53178241   67.78301326   73.03398316 
##          5766          5767          5768          5769          5770 
##   84.21513124   90.98584983  120.43250155  150.80581421  175.30462204 
##          5771          5772          5773          5774          5775 
##  190.38352118  215.93242183  219.08140374  233.43520898  222.09651737 
##          5776          5777          5778          5779          5780 
##  205.72164697  215.63236116  214.82791868  239.83147934  230.18144190 
##          5781          5782          5783          5784          5785 
##   33.74915289   51.29674662   62.33200097   56.92348753   37.99754963 
##          5786          5787          5788          5789          5790 
##   58.28569269   56.66962374   65.02368992   62.06762620   69.80190506 
##          5791          5792          5793          5794          5795 
##   81.34560008   96.22293217  124.89786276  170.73629677  175.52845925 
##          5796          5797          5798          5799          5800 
##  185.74604706  194.44388618  192.45554237  191.70677322  193.75422672 
##          5801          5802          5803          5804          5805 
##  193.00545757  224.25995759  244.25584138  190.96071716   14.31603779 
##          5806          5807          5808          5809          5810 
##   43.24404911   30.08362165   77.09664111   84.83091996   65.71134059 
##          5811          5812          5813          5814          5815 
##   59.48147278   69.69906058   80.84934942   71.19931198   91.42809388 
##          5816          5817          5818          5819          5820 
##   92.57134828  153.54857419  211.84045227  219.57473113  232.33130122 
##          5821          5822          5823          5824          5825 
##  235.72290914  243.45718800  249.94773255  255.19870245  258.79676388 
##          5826          5827          5828          5829          5830 
##  252.82413644  260.55841530   69.58288267   77.31716153  142.35748804 
##          5831          5832          5833          5834          5835 
##  150.09176689  122.92185105  130.65612990  159.59802878  147.77759609 
##          5836          5837          5838          5839          5840 
##  132.09696036  131.44861133  170.63665972  175.26784229  189.04733380 
##          5841          5842          5843          5844          5845 
##  193.83949628  217.55753688  226.21847668  230.96469374  224.54298679 
##          5846          5847          5848          5849          5850 
##  230.67098440  224.38544326  231.18890152  225.38094181  211.43974712 
##          5851          5852          5853          5854          5855 
##  211.68719980   23.08966955   34.24411804   40.73466259   38.74631879 
##          5856          5857          5858          5859          5860 
##   46.48059764   48.94995925   59.77272002   73.75425040   77.41771306 
##          5861          5862          5863          5864          5865 
##   94.84611266   96.63632578  105.67370009  132.48094941  157.08506381 
##          5866          5867          5868          5869          5870 
##  172.14518894  184.22629837  199.56659753  200.93859038  208.67286924 
##          5871          5872          5873          5874          5875 
##  206.68036578  207.45134532  233.11528045  243.33286826  238.86121550 
##          5876          5877          5878          5879          5880 
##  153.34304864  154.71504148  156.08703433  160.09426994  144.51405432 
##          5881          5882          5883          5884          5885 
##  152.24833318  151.49956403  134.47404707  110.14938342  121.18832560 
##          5886          5887          5888          5889          5890 
##  164.22684913  181.68791029  204.77227600  236.97825106  325.84554047 
##          5891          5892          5893          5894          5895 
##  331.82160428  326.46876417  303.23658283  298.67839751  293.99497797 
##          5896          5897          5898          5899          5900 
##  292.07203540  299.80631426  297.72727824  274.80244235  107.25643867 
##          5901          5902          5903          5904          5905 
##  117.88736030   96.40855256  104.14283142   73.54657398   77.55380958 
##          5906          5907          5908          5909          5910 
##   58.97164462   60.34363747   90.15283613   93.19651147  135.83558873 
##          5911          5912          5913          5914          5915 
##  134.51250585  136.35350585  154.69159471  164.23372187  207.54825978 
##          5916          5917          5918          5919          5920 
##  245.69830056  254.89249513  280.05583707  285.58282136  263.59437432 
##          5921          5922          5923          5924          5925 
##  262.29121908  259.00346765  264.56735125   79.12671017   73.32479055 
##          5926          5927          5928          5929          5930 
##   89.88589036   82.88986968   79.03800425   86.77228310   76.72883948 
##          5931          5932          5933          5934          5935 
##   82.28668300   90.02096186   96.51150641  136.41003434  165.13647861 
##          5936          5937          5938          5939          5940 
##  190.23629975  201.73452118  214.12250423  239.27799870  262.41199766 
##          5941          5942          5943          5944          5945 
##  269.52648919  268.06724050  241.46499460  249.19927345  256.93355231 
##          5946          5947          5948          5949          5950 
##  264.66783116  204.47480885   26.58639518   34.32067404   36.77542128 
##          5951          5952          5953          5954          5955 
##   39.52919468   28.91559697   36.64987583   24.16859685   36.56261999 
##          5956          5957          5958          5959          5960 
##   52.75144493   64.75574971   63.21648542  126.01732761  132.81890544 
##          5961          5962          5963          5964          5965 
##  135.54550742  157.66631287  165.40059173  190.60571944  166.48262284 
##          5966          5967          5968          5969          5970 
##  157.68291352  138.72431405  122.20723776  132.11795194  155.40804435 
##          5971          5972          5973          5974          5975 
##  160.31108167  -17.57733200  -19.11659629  -11.38231744    8.45674610 
##          5976          5977          5978          5979          5980 
##   13.35978342   40.99254676   69.84791307   63.25549831   70.98977717 
##          5981          5982          5983          5984          5985 
##   87.15143070  112.63257280  110.72660191  129.06469078  148.70218727 
##          5986          5987          5988          5989          5990 
##  165.78681393  183.18804212  189.68274632  210.64635003  214.87392669 
##          5991          5992          5993          5994          5995 
##  221.36863089  214.68552392  223.38752269  217.94815002  196.36403570 
##          5996          5997          5998          5999          6000 
##   29.07943205   18.43733242   27.10431231   17.61519498   25.34947384 
##          6001          6002          6003          6004          6005 
##   11.00883288   18.74311173   27.71696524   56.28658926   83.97502592 
##          6006          6007          6008          6009          6010 
##  112.90303724  155.00885974  233.12288948  253.66827291  277.39119996 
##          6011          6012          6013          6014          6015 
##  255.89361820  263.62789706  265.43199774  255.70515565  253.35426489 
##          6016          6017          6018          6019          6020 
##  233.10041744  217.93426246  225.66854132   34.99988231   59.33771023 
##          6021          6022          6023          6024          6025 
##   75.49567594   64.14309677   71.87737563  127.87469978  143.43118035 
##          6026          6027          6028          6029          6030 
##  152.78986577  142.69074881  155.08477195  176.01147634  189.67593337 
##          6031          6032          6033          6034          6035 
##  234.42604472  252.64493945  260.37921831  265.63018821  282.21006202 
##          6036          6037          6038          6039          6040 
##  287.46103193  284.14242126  273.16627660  248.31808610  231.48440828 
##          6041          6042          6043          6044          6045 
##  242.07427095  251.98498513   65.93428464   55.89084101   57.66228013 
##          6046          6047          6048          6049          6050 
##   65.39655898   52.24397899   59.97825785   73.33584125   76.06660289 
##          6051          6052          6053          6054          6055 
##   79.41715184   94.01846955  104.23605736  122.57414622  132.79173403 
##          6056          6057          6058          6059          6060 
##  150.90948184  176.39062394  175.72838735  127.00647484  117.35643740 
##          6061          6062          6063          6064          6065 
##  125.09071626  132.82499511  137.10824510  142.66608862  152.57680281 
##          6066          6067          6068          6069          6070 
##  161.55481597  -16.33359770   -9.84305314    8.07681544   17.33084298 
##          6071          6072          6073          6074          6075 
##   37.83932710   34.05286290   41.78714176   65.69286184   84.03095071 
##          6076          6077          6078          6079          6080 
##  101.12946492  130.48958408  140.79370445  161.35786189  195.82680484 
##          6081          6082          6083          6084          6085 
##  218.02998321  232.12654807  236.79462996  254.35683805  269.69713721 
##          6086          6087          6088          6089          6090 
##  270.70658311  272.42234890  240.60113117  240.78506305  257.00238991 
##          6091          6092          6093          6094          6095 
##   45.92076567   62.13809253   84.29948512   83.55071597   91.28499483 
##          6096          6097          6098          6099          6100 
##   94.38803132   76.68289406   87.83734254   95.57162140  116.47955178 
##          6101          6102          6103          6104          6105 
##  151.82552243  169.37311616  189.36899996  199.93452035  218.69082950 
##          6106          6107          6108          6109          6110 
##  215.55989832  229.96333680  239.87405099  195.48019505  220.15206800 
##          6111          6112          6113          6114          6115 
##  227.88634686  215.57020743  224.26804655  217.89597284   37.17631764 
##          6116          6117          6118          6119          6120 
##   16.92247019   17.78971019    4.69280353   12.42708239    4.95348028 
##          6121          6122          6123          6124          6125 
##   11.44402483   19.17830369   26.91258254   38.06703103   45.80130989 
##          6126          6127          6128          6129          6130 
##   83.67533628   93.89292409  101.90321733  108.39376189  169.75715021 
##          6131          6132          6133          6134          6135 
##  129.40693906  147.03870803  209.49946512  218.38189961  210.40354466 
##          6136          6137          6138          6139          6140 
##  207.85477468  222.86942621  202.26764617  -18.13715447  -39.97850916 
##          6141          6142          6143          6144          6145 
##   21.91813393   54.78864310   63.76249661   60.82871785   68.56299670 
##          6146          6147          6148          6149          6150 
##   64.40009800   69.95794153   92.69853430  122.45205964  127.70302954 
##          6151          6152          6153          6154          6155 
##  146.72931299  158.28320774  169.12058288  178.09443639  208.87135497 
##          6156          6157          6158          6159          6160 
##  203.68922267  197.57438935  202.54934486  203.21501782  207.58480037 
##          6161          6162          6163          6164          6165 
##  219.08302180  224.64086532   40.39016565   34.95079298   54.61498906 
##          6166          6167          6168          6169          6170 
##   46.32003258   58.12512762   45.19476913   60.47939496   66.96993952 
##          6171          6172          6173          6174          6175 
##   76.88065370  100.27189304  110.18260722  171.36140018  213.12344973 
##          6176          6177          6178          6179          6180 
##  243.24556211  257.93341238  258.42421788  277.12485369  284.85913255 
##          6181          6182          6183          6184          6185 
##  281.48484855  288.91225378  252.48696510  247.95547936  226.43119803 
##          6186          6187          6188          6189          6190 
##  275.67102765   52.79753243   69.01485929  113.25117170   92.96646501 
##          6191          6192          6193          6194          6195 
##   68.12732062   75.86159947  107.68625357   96.65443558   88.80439896 
##          6196          6197          6198          6199          6200 
##  129.95638910  126.37637841  176.51616940  167.22867891  215.66176853 
##          6201          6202          6203          6204          6205 
##  245.54777185  271.49676747  279.38298013  283.23828193  262.17280802 
##          6206          6207          6208          6209          6210 
##  241.82754155  270.81122620  259.47253459  267.20681344  274.32130497 
##          6211          6212          6213          6214          6215 
##   73.20076975   94.07784090   75.49567594   48.87954248   62.21411412 
##          6216          6217          6218          6219          6220 
##   69.94839298  102.66884879   99.74364430  122.79111070  133.94555918 
##          6221          6222          6223          6224          6225 
##  148.91915175  173.86703909  219.49417814  233.93451594  253.67315936 
##          6226          6227          6228          6229          6230 
##  255.82103298  268.67386355  276.40814240  276.48488727  270.68296765 
##          6231          6232          6233          6234          6235 
##  258.04486841  246.24320973  264.66783116  263.29927468   37.17631764 
##          6236          6237          6238          6239          6240 
##   48.67453906   55.47611689   83.22995479   70.94467460   79.61165448 
##          6241          6242          6243          6244          6245 
##   86.41323231   91.31626962  101.88179002  108.02856163  123.86945399 
##          6246          6247          6248          6249          6250 
##  130.36415819  124.75407771  145.25840218  129.30175206  153.58021882 
##          6251          6252          6253          6254          6255 
##  150.71068767  145.72039451  149.69073080  154.00899967  165.15928851 
##          6256          6257          6258          6259          6260 
##  189.06916824  192.45661651  199.22733510    4.88730617   -0.10298698 
##          6261          6262          6263          6264          6265 
##    7.31837817    5.70230922   12.46886816   18.96357236   23.78243443 
##          6266          6267          6268          6269          6270 
##   36.63942464   29.84128318   37.57556204  123.29929991  160.36658630 
##          6271          6272          6273          6274          6275 
##  219.49417814  237.03761222  257.49646309  276.61531918  285.74526614 
##          6276          6277          6278          6279          6280 
##  294.72327929  288.32827193  285.89084861  301.31352069  300.11567202 
##          6281          6282          6283          6284          6285 
##  288.72130709  295.21185164  107.15173580   95.38093636   72.03860699 
##          6286          6287          6288          6289          6290 
##   65.08364528   62.52702783   59.97825785   73.33584125   81.07012011 
##          6291          6292          6293          6294          6295 
##   48.06084141   65.63693706   80.60080171  159.17363887  203.77249823 
##          6296          6297          6298          6299          6300 
##  233.93451594  271.08833489  257.06060764  266.23045993  298.41766098 
##          6301          6302          6303          6304          6305 
##  297.83959964  282.60315696  290.33743582  326.98650193  316.73545117 
##          6306          6307          6308          6309          6310 
##  298.59512195  112.23338819  115.62083647  126.30139134  131.55236124 
##          6311          6312          6313          6314          6315 
##  126.16262182  105.97417561  101.77853723  107.64929446  107.86408557 
##          6316          6317          6318          6319          6320 
##  118.08167338  138.95874453  136.65748702  163.77765004  183.50167910 
##          6321          6322          6323          6324          6325 
##  205.64918413  195.55006718  220.15418158  213.50193384  219.65286510 
##          6326          6327          6328          6329          6330 
##  222.60820554  231.58621870  197.43362582  180.85718837  144.17049967 
##          6331          6332          6333          6334          6335 
##   25.66672936   47.09818659   62.28239230   67.53336221   91.43908229 
##          6336          6337          6338          6339          6340 
##   97.93378649   72.07240249   90.08369009   93.12736543  151.23156403 
##          6341          6342          6343          6344          6345 
##  215.94067464  259.71401998  281.41660514  305.68487218  305.81729037 
##          6346          6347          6348          6349          6350 
##  346.63463178  330.75123037  327.43261970  335.11122523  312.71964409 
##          6351          6352          6353          6354          6355 
##  308.46417275  307.00908370  290.33706759  282.82167971   91.39706757 
##          6356          6357          6358          6359          6360 
##  105.43795910  107.17249890  102.69668649  103.22855096   87.18536828 
##          6361          6362          6363          6364          6365 
##   94.91964713  102.65392599   94.16109028   94.79410167  179.79274564 
##          6366          6367          6368          6369          6370 
##  211.25973925  228.80733297  241.56390306  256.47209439  247.41098504 
##          6371          6372          6373          6374          6375 
##  233.51942359  170.67238452  164.43835706  172.17263591  179.90691477 
##          6376          6377          6378          6379          6380 
##  187.95826698  196.65610610  204.39038495   12.81383901   21.51167813 
##          6381          6382          6383          6384          6385 
##   28.28239672   34.46002757   43.43388107   51.48523328   59.21951214 
##          6386          6387          6388          6389          6390 
##   64.15340869   75.65163011  104.49726852  113.19510764  124.65642974 
##          6391          6392          6393          6394          6395 
##  186.29167281  233.89248152  264.23493495  305.98793840  322.62348554 
##          6396          6397          6398          6399          6400 
##  340.08454671  340.47004563  318.16499706  326.35808334  370.15436233 
##          6401          6402          6403          6404          6405 
##  360.91349907  352.00848317  171.63560692  159.36609472  139.12613482 
##          6406          6407          6408          6409          6410 
##  139.25439337  138.41909166  142.73736053  126.80921233  134.54349118 
##          6411          6412          6413          6414          6415 
##  143.52150434  162.58468711  165.35234806  188.74358739  206.25616224 
##          6416          6417          6418          6419          6420 
##  233.94459890  248.04116376  262.18736187  275.04019243  271.66590843 
##          6421          6422          6423          6424          6425 
##  272.95136872  264.69699938  262.91626270  273.65249091  262.67218661 
##          6426          6427          6428          6429          6430 
##  272.61376003   79.01271255   80.44037873   88.17465759   86.13064045 
##          6431          6432          6433          6434          6435 
##   82.27877502   90.01305387   81.77329890   89.50757775  105.35262976 
##          6436          6437          6438          6439          6440 
##  119.69670708  123.70394269  150.16741907  170.14868850  169.92713402 
##          6441          6442          6443          6444          6445 
##  175.90319783  194.64073296  218.99733489  226.73161375  214.14803421 
##          6446          6447          6448          6449          6450 
##  217.47123488  259.72059378  264.35177635  269.15366674  273.84909693 
##          6451          6452          6453          6454          6455 
##   93.51427363   79.87995256   86.37465676   72.39656275   80.75062893 
##          6456          6457          6458          6459          6460 
##   90.04155579  102.15956454   93.30002224   91.31167844  148.19931414 
##          6461          6462          6463          6464          6465 
##  157.63613472  178.56283911  188.47355330  211.03927861  228.86288673 
##          6466          6467          6468          6469          6470 
##  239.70026186  264.64814920  268.14090405  251.42226071  249.42975726 
##          6471          6472          6473          6474          6475 
##  251.14552305  258.87980190  236.48822077  236.10199857   47.55410156 
##          6476          6477          6478          6479          6480 
##   69.05096004   91.45986509   97.60663671   88.83778662  105.93214118 
##          6481          6482          6483          6484          6485 
##  106.78965328   96.69053632  118.53116774  132.16892518  180.68854736 
##          6486          6487          6488          6489          6490 
##  241.92301364  258.07493927  289.54193287  294.00240763  309.27314591 
##          6491          6492          6493          6494          6495 
##  320.42343475  318.53623787  331.39322808  325.87940806  300.79879129 
##          6496          6497          6498          6499          6500 
##  271.19459603  291.81442680  289.77040967  111.88199600  122.15525714 
##          6501          6502          6503          6504          6505 
##  132.37284495  140.10712380  119.74796978  109.70452615  118.67837966 
##          6506          6507          6508          6509          6510 
##  130.75948909  144.42810576  170.52903519  196.09670986  230.17829176 
##          6511          6512          6513          6514          6515 
##  241.95252758  309.13594604  329.59479691  349.79640740  349.30487863 
##          6516          6517          6518          6519          6520 
##  364.02123081  367.40867909  366.55876301  365.44744691  373.18172576 
##          6521          6522          6523          6524          6525 
##  337.65708025  350.35797701  177.77995418  175.70091817  108.61235509 
##          6526          6527          6528          6529          6530 
##  116.00286100  123.12219399  130.85647284  175.62604001  197.39402642 
##          6531          6532          6533          6534          6535 
##  177.48944206  185.22372092  204.43883749  224.83832720  235.05591501 
##          6536          6537          6538          6539          6540 
##  270.85512482  293.16360976  310.03762327  331.41340717  331.09674586 
##          6541          6542          6543          6544          6545 
##  335.51616165  338.04119659  317.38905650  300.94154110  307.85399376 
##          6546          6547          6548          6549          6550 
##  307.93677871  116.81904019  124.89709198  107.98660951  112.92466570 
##          6551          6552          6553          6554          6555 
##  118.45164999  120.96207057  124.45482542  130.94536997  140.54317045 
##          6556          6557          6558          6559          6560 
##  155.88346961  184.75580761  207.01881894  214.75309780  238.45725084 
##          6561          6562          6563          6564          6565 
##  255.12365722  269.31279472  281.28859758  293.71347996  304.72572255 
##          6566          6567          6568          6569          6570 
##  300.24991014  287.25415041  271.98080842  257.27762051  272.61376003 
##          6571          6572          6573          6574          6575 
##   93.37073722   73.20106502   70.45979242   78.19407127   87.17208442 
##          6576          6577          6578          6579          6580 
##   73.69874326   77.65030553   85.38458439  125.28311231  172.83917423 
##          6581          6582          6583          6584          6585 
##  202.64837290  247.11831022  251.02928535  288.70174470  310.64768268 
##          6586          6587          6588          6589          6590 
##  316.62374649  335.04836792  337.92133544  336.72348677  294.03217256 
##          6591          6592          6593          6594          6595 
##  282.23051388  284.06131415  299.03906636  109.21657582  122.95059373 
##          6596          6597          6598          6599          6600 
##  120.96224993  124.40905936  106.60766163  114.34194048  131.52698726 
##          6601          6602          6603          6604          6605 
##  147.74431412  135.06146809  177.58551087  200.97675020  230.78594887 
##          6606          6607          6608          6609          6610 
##  258.47438554  296.33452438  314.66288533  294.53011245  353.95973646 
##          6611          6612          6613          6614          6615 
##  354.08799500  341.90501537  310.10741310  317.84169196  306.07089251 
##          6616          6617          6618          6619          6620 
##  318.46491565  326.19919451  155.55009455  140.33242589  123.59989500 
##          6621          6622          6623          6624          6625 
##  131.33417385   99.47305079  107.20732964  114.94160850  126.40293060 
##          6626          6627          6628          6629          6630 
##  134.13720946  146.56209183  171.76721955  195.15845888  258.51368717 
##          6631          6632          6633          6634          6635 
##  270.59479660  295.35084480  333.11956463  362.94753731  347.86302844 
##          6636          6637          6638          6639          6640 
##  370.02930748  342.39998051  343.40942641  310.45462241  304.39546241 
##          6641          6642          6643          6644          6645 
##  322.47215126  130.20137064  126.26297265  123.04550891  117.63699547 
##          6646          6647          6648          6649          6650 
##  131.63241340  100.06427641  105.93919328  114.29325946  117.68070774 
##          6651          6652          6653          6654          6655 
##  173.80635023  220.68695149  290.76701273  317.12029608  338.40954742 
##          6656          6657          6658          6659          6660 
##  363.66430838  355.61754617  369.30077721  366.33009913  361.85428672 
##          6661          6662          6663          6664          6665 
##  369.60733959  370.61678549  367.12746700  307.50828660  351.28579158 
##          6666          6667          6668          6669          6670 
##  154.76932732  130.67520447  134.06265274  133.31388359  101.69423291 
##          6671          6672          6673          6674          6675 
##  130.94904549  127.14681330  134.88109216  132.63134833  149.09618766 
##          6676          6677          6678          6679          6680 
##  185.88745966  221.17775699  278.17069927  303.13247416  344.16527017 
##          6681          6682          6683          6684          6685 
##  352.62464292  356.58525130  349.82769699  343.51129662  334.79396021 
##          6686          6687          6688          6689          6690 
##  304.79031868  283.10505744  279.93838057  272.32257257   76.96331005 
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##  350.14912400  333.17324028  358.65438239  189.86880405  186.83829300 
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##          6951          6952          6953          6954          6955 
##  382.44163162  380.36675525  195.69783530  203.43211415  211.16639301 
##          6956          6957          6958          6959          6960 
##  206.24150109  174.03896240  164.35806572  186.51945831  226.95124100 
##          6961          6962          6963          6964          6965 
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##  357.02448567  175.72006202  168.31186115  199.73706898  203.69279090 
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##          7011          7012          7013          7014          7015 
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##  349.22844381  359.78980456  374.01045001  370.61739200  375.41928239 
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##          7026          7027          7028          7029          7030 
##  136.70260187  127.02170519  119.12988280  113.81876868  122.52076745 
##          7031          7032          7033          7034          7035 
##  139.97766896  157.80127708  173.29839649  182.27640965  230.78630392 
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##  215.94091012  258.54732581  204.69781549  251.01430276  303.46253524 
##          7041          7042          7043          7044          7045 
##  305.99172982  293.33974303  304.95299894  275.33183201  252.87068999 
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##  258.12165989  264.61220445   67.01714544   72.26811534   93.08951316 
##          7051          7052          7053          7054          7055 
##   99.58005771  101.41501763  109.14929649  109.64010199  115.79103325 
##          7056          7057          7058          7059          7060 
##  130.75489790  168.16595723  211.65356027  230.40986942  266.42942029 
##          7061          7062          7063          7064          7065 
##  289.45811267  307.48932792  307.45660656  316.43461972  341.65852144 
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##  349.39280030  335.56664009  332.53612903  326.37166246  336.58925027 
##          7071          7072          7073          7074          7075 
##  344.32352912  160.01715612  127.48057240  124.16196173  105.20752191 
##          7076          7077          7078          7079          7080 
##  128.66416248  137.64217564  132.23366220  133.96820200  194.39104182 
##          7081          7082          7083          7084          7085 
##  222.07947849  242.10622152  256.25845971  278.36049115  311.06517896 
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##  307.00270038  327.85984389  344.49539103  352.74831029  350.33758655 
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##  363.55712371  350.06265122  337.36519083  280.29639612  282.72028413 
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##          7106          7107          7108          7109          7110 
##  217.95648512  253.69586196  299.16202111  336.36178548  363.03098855 
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##          7121          7122          7123          7124          7125 
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##          7126          7127          7128          7129          7130 
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##  293.32332174  304.67933728  312.41361613  335.44230852  347.52341795 
##          7136          7137          7138          7139          7140 
##  358.67370679  354.14638070  358.77340363  366.50768248  351.34568715 
##          7141          7142          7143          7144          7145 
##  345.47420665  389.81582562  381.37866325  194.64465462  181.99266783 
##          7146          7147          7148          7149          7150 
##  179.01783010  157.08505639  137.62586373  145.36014258  133.19593695 
##          7151          7152          7153          7154          7155 
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##          7156          7157          7158          7159          7160 
##  280.55630047  324.95359278  338.59135021  381.43199452  389.78606070 
##          7161          7162          7163          7164          7165 
##  394.41724327  406.39304613  396.29392918  391.36903726  362.88938218 
##          7166          7167          7168          7169          7170 
##  370.62366103  392.94603352  186.93332774  187.06574594  109.12586038 
##          7171          7172          7173          7174          7175 
##  116.24035191  240.32179748  230.20879297  252.78840584  266.88497070 
##          7176          7177          7178          7179          7180 
##  273.37967491  302.89057424  307.52175681  325.85984568  331.11081558 
##          7181          7182          7183          7184          7185 
##  342.98131186  356.20084902  372.16093551  385.37631302  379.60525264 
##          7186          7187          7188          7189          7190 
##  386.71974416  391.08952672  406.42982588  385.03030693  377.75827187 
##          7191          7192          7193          7194          7195 
##  380.01145207  199.63972945  199.68145543  185.75903476  194.73704791 
##          7196          7197          7198          7199          7200 
##  204.95463572  219.05120058  226.78547943  230.79271504  238.52699389 
##          7201          7202          7203          7204          7205 
##  235.34454903  233.61344560  237.89669559  230.94173388  217.36308614 
##          7206          7207          7208          7209          7210 
##  197.21454526  193.37729419  202.35530735  208.84585190  208.51041657 
##          7211          7212          7213          7214          7215 
##  221.83110066  228.32580486  224.83648638  243.17457525  247.18181085 
##          7216          7217          7218          7219          7220 
##   69.29339718   81.37450662   84.76195489   92.49623375  112.95508462 
##          7221          7222          7223          7224          7225 
##   92.70123716  104.78234660  113.75620011  124.91064859  158.85606469 
##          7226          7227          7228          7229          7230 
##  194.09484834  239.26386177  249.56798214  268.32429129  287.11145967 
##          7231          7232          7233          7234          7235 
##  318.20617841  334.52881185  337.40177937  345.13605823  325.00697317 
##          7236          7237          7238          7239          7240 
##  325.41540575  306.10814689  309.08226134  299.92000506  141.81123680 
##          7241          7242          7243          7244          7245 
##  138.57915870  125.36721755  118.77064314  145.52637878  153.26065763 
##          7246          7247          7248          7249          7250 
##  151.01091381  124.20782767  137.87644434  159.29885547  214.08450319 
##          7251          7252          7253          7254          7255 
##  259.98277017  289.42942189  316.69963828  332.03577779  344.89276800 
##          7256          7257          7258          7259          7260 
##  351.38331255  348.41263447  340.59109978  348.32537863  333.10770997 
##          7261          7262          7263          7264          7265 
##  326.45546223  328.60333586  299.41736088  125.87577779  104.61846474 
##          7266          7267          7268          7269          7270 
##  112.35274360  123.81406570  112.55774701  121.63690709  141.16909701 
##          7271          7272          7273          7274          7275 
##  143.83029776  148.15460672  155.88888557  183.26440853  196.47978604 
##          7276          7277          7278          7279          7280 
##  203.69958415  220.79393871  261.97310026  282.53309805  289.02780226 
##          7281          7282          7283          7284          7285 
##  278.82826518  266.62227378  262.45333500  265.49701033  271.99171454 
##          7286          7287          7288          7289          7290 
##  264.43157986  284.00924338   89.61770077   74.97018619   83.94403970 
##          7291          7292          7293          7294          7295 
##   86.09191332  104.37921531  112.11349417  116.12488942  103.99154302 
##          7296          7297          7298          7299          7300 
##  132.83302178  141.53502055  177.60119865  190.02608102  216.48955740 
##          7301          7302          7303          7304          7305 
##  253.89088882  274.79881920  295.67589035  315.34424607  337.54742444 
##          7306          7307          7308          7309          7310 
##  336.79865528  335.96335357  304.23839631  294.19495269  296.34282631 
##          7311          7312          7313          7314          7315 
##  284.12294735  135.18922628  133.61005665  122.62975235  118.79666092 
##          7316          7317          7318          7319          7320 
##  125.28720548  133.02148433  119.64856329  140.42032786  148.15460672 
##          7321          7322          7323          7324          7325 
##  191.13745691  219.72169529  266.01940854  233.89989148  242.02873014 
##          7326          7327          7328          7329          7330 
##  264.09874872  308.53294034  348.44119618  346.51709998  354.25137884 
##          7331          7332          7333          7334          7335 
##  354.68766464  356.52262456  320.45572318  281.97507373  287.84999061 
##          7336          7337          7338          7339          7340 
##  106.23453369  113.96881254  106.43953710  124.77762597  121.56432187 
##          7341          7342          7343          7344          7345 
##  128.67881340  115.30173271  140.42032786  167.17606350  200.14403177 
##          7346          7347          7348          7349          7350 
##  246.03813911  276.10873780  289.15340750  309.14929130  301.63878987 
##          7351          7352          7353          7354          7355 
##  268.10598432  307.69159854  311.69883414  308.74277043  297.40407882 
##          7356          7357          7358          7359          7360 
##  286.76754745  283.91190385  290.40244841  286.56935699  102.47059112 
##          7361          7362          7363          7364          7365 
##  109.27216894  119.48975675  123.49699235  125.30109304  133.03537189 
##          7366          7367          7368          7369          7370 
##  143.25295970  148.50392960  139.70006063  163.97248731  186.63863274 
##          7371          7372          7373          7374          7375 
##  207.51570389  257.10835256  261.11558816  273.19669760  287.29326246 
##          7376          7377          7378          7379          7380 
##  290.68071073  295.51834681  314.21898263  314.35140082  323.32525433 
##          7381          7382          7383          7384          7385 
##  288.58137605  295.07608025  286.21653795  105.84481533  116.06240314 
##          7386          7387          7388          7389          7390 
##  119.10607847  126.84035733   99.41259741  105.90730161  113.64158046 
##          7391          7392          7393          7394          7395 
##  138.79103485  154.90794159  163.88595475  185.67091283  206.57884321 
##          7396          7397          7398          7399          7400 
##  230.82041066  302.76399353  318.10013305  316.98881694  328.45013905 
##          7401          7402          7403          7404          7405 
##  333.70110895  342.67496246  319.44694077  324.45039820  344.54670212 
##          7406          7407          7408          7409          7410 
##  353.52055563  358.77152553  163.83048329  155.47985347  157.83418060 
##          7411          7412          7413          7414          7415 
##  154.34486212  163.94266260  161.33037182  154.39002447  176.79892953 
##          7416          7417          7418          7419          7420 
##  187.72283723  213.20397933  228.11217065  261.79061847  264.92082637 
##          7421          7422          7423          7424          7425 
##  269.54784930  271.90633607  263.35970747  274.54501519  293.24565101 
##          7426          7427          7428          7429          7430 
##  300.97992986  308.71420872  316.44848757  332.66581444  302.23610516 
##          7431          7432          7433          7434          7435 
##  313.07763994  109.64450359  139.81624921  120.37583055  116.31335197 
##          7436          7437          7438          7439          7440 
##  126.53093978  130.53817538  137.03287958  135.76547003  173.69516976 
##          7441          7442          7443          7444          7445 
##  175.84304338  246.34501273  273.32712951  282.19983609  299.65673761 
##          7446          7447          7448          7449          7450 
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##          9581          9582          9583          9584          9585 
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##          9691          9692          9693          9694          9695 
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##          9706          9707          9708          9709          9710 
##  289.07783879  280.30482905  286.79953325  283.93000210  292.90385560 
##          9711          9712          9713          9714          9715 
##  310.00236982  104.09497061   87.21534737   91.49859736  100.47661051 
##          9716          9717          9718          9719          9720 
##  107.93487498  141.52263059  151.74021839  157.35373525  178.31733896 
##          9721          9722          9723          9724          9725 
##  193.65763812  210.32404449  238.88950886  246.62378772  260.77602591 
##          9726          9727          9728          9729          9730 
##  286.73710676  290.66196945  274.61878676  295.52671714  292.57065343 
##          9731          9732          9733          9734          9735 
##  297.82162333  305.55590218  296.78289244  302.65780932  310.39208818 
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##         10216         10217         10218         10219         10220 
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##  326.40785080  337.59315852  144.77287827  138.10250523  102.48644070 
##         10266         10267         10268         10269         10270 
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##         10271         10272         10273         10274         10275 
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##         10301         10302         10303         10304         10305 
##  284.92117112  294.17519866  292.78786817  288.53239682  286.54405301 
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##         10316         10317         10318         10319         10320 
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##  279.45546989  294.36366122  313.63445111  324.00813237  326.61969987 
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##         10396         10397         10398         10399         10400 
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##         10406         10407         10408         10409         10410 
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##         10411         10412         10413         10414         10415 
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##         10416         10417         10418         10419         10420 
##  197.74826518  205.48254404  231.91751849  254.06918317  286.87617155 
##         10421         10422         10423         10424         10425 
##  294.61045040  299.86142031  296.90535659  302.15632649  307.71417001 
##         10426         10427         10428         10429         10430 
##  316.69218317  310.00907620  333.46987642  296.77830126  304.51258011 
##         10431         10432         10433         10434         10435 
##   83.99866831   91.73294716   99.46722602  103.43756230  114.00308270 
##         10436         10437         10438         10439         10440 
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##         10446         10447         10448         10449         10450 
##  273.04897610  267.60960343  244.47300075  252.52019331  244.99091787 
##         10451         10452         10453         10454         10455 
##  252.72519673  243.04430005  250.77857891  275.92803329   79.69174307 
##         10456         10457         10458         10459         10460 
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##         10461         10462         10463         10464         10465 
##   91.84090704   99.57518590  119.49105409  125.63782571  157.96723265 
##         10466         10467         10468         10469         10470 
##  180.59647876  192.99050190  247.80700885  285.21806818  277.38191912 
##         10471         10472         10473         10474         10475 
##  283.87662332  266.89657996  288.74137102  269.64056566  282.03458880 
##         10476         10477         10478         10479         10480 
##  306.30701548  312.79756004  302.75411641  126.10943704  127.94023731 
##         10481         10482         10483         10484         10485 
##  152.18180476  122.52797627  112.87793882  114.98891313  128.34649653 
##         10486         10487         10488         10489         10490 
##  131.39017187  143.81505424  177.35129617  217.50290482  234.58753148 
##         10491         10492         10493         10494         10495 
##  272.00275045  316.12402837  349.85398987  351.22598272  370.90895281 
##         10496         10497         10498         10499         10500 
##  318.79464579  310.61472379  318.34900264  293.91903243  294.45947117 
##         10501         10502         10503         10504         10505 
##  293.78026290  301.51454176  110.90155608  131.36040695  125.75032646 
##         10506         10507         10508         10509         10510 
##  132.80498501  140.53926387  149.91672329  128.34649653  166.28108272 
##         10511         10512         10513         10514         10515 
##  179.94969939  202.58498559  214.04214805  237.07084043  273.24232511 
##         10516         10517         10518         10519         10520 
##  292.91068084  329.44471246  376.62433987  362.24191314  332.24431170 
##         10521         10522         10523         10524         10525 
##  326.80493903  321.39642559  342.27349674  351.24735025  360.84515073 
##         10526         10527         10528         10529         10530 
##  353.57311567  198.55427660  221.32572861  182.73977259  193.92092066 
##         10531         10532         10533         10534         10535 
##  227.83848354  237.22567088  253.13008403  243.96366811  248.53917736 
##         10536         10537         10538         10539         10540 
##  268.63548127  290.43921337  301.43268195  315.52924681  327.92326995 
##         10541         10542         10543         10544         10545 
##  366.00374985  365.04852720  368.09220253  366.92521310  376.79902797 
##         10546         10547         10548         10549         10550 
##  354.48981975  329.05450350  338.02835701  341.98407893  336.54470625 
##         10551         10552         10553         10554         10555 
##  147.07987621  154.81415507  144.71503811  147.05059123  154.44109714 
##         10556         10557         10558         10559         10560 
##  161.55558867  169.90965485  186.12698171  193.86126057  208.30159837 
##         10561         10562         10563         10564         10565 
##  207.55282922  231.88092923  266.33109817  282.96664531  283.40593713 
##         10566         10567         10568         10569         10570 
##  303.12580654  304.49779939  300.86627502  297.04291150  269.54559070 
##         10571         10572         10573         10574         10575 
##  273.55698595  277.84023594  276.21443908  283.94871794   97.66378882 
##         10576         10577         10578         10579         10580 
##   99.77060348  119.03166547  101.26112697  122.65683852  117.66654536 
##         10581         10582         10583         10584         10585 
##  140.60870518  135.61841202  162.00744106  159.19358324  183.46600992 
##         10586         10587         10588         10589         10590 
##  192.43986343  215.43769658  235.98308001  234.35728315  242.09156201 
##         10591         10592         10593         10594         10595 
##  237.97829655  275.34388228  276.82118170  269.60481997  281.68592940 
##         10596         10597         10598         10599         10600 
##  244.01690642  251.13139795  258.86567680   80.97726314   85.91115969 
##         10601         10602         10603         10604         10605 
##   93.64543854  104.79988703  112.87793882  120.26844474  128.00272359 
##         10606         10607         10608         10609         10610 
##  120.27188111  150.08107978  154.08831538  186.94493700  193.43964120 
##         10611         10612         10613         10614         10615 
##  206.14053796  211.39150786  224.09240462  242.12361987  249.85789872 
##         10616         10617         10618         10619         10620 
##  236.39428547  247.57959319  250.96704146  221.78106649  229.51534534 
##         10621         10622         10623         10624         10625 
##  258.98077107  267.05882287  109.60214845  116.09685265  123.83113151 
##         10626         10627         10628         10629         10630 
##  131.56541036  124.45435520  147.03396807  139.92291291  167.46914369 
##         10631         10632         10633         10634         10635 
##  172.72011359  184.17727605  193.15528920  201.50935539  219.84744425 
##         10636         10637         10638         10639         10640 
##  211.66752225  215.67475785  195.43479796  203.16907681  209.65962137 
##         10641         10642         10643         10644         10645 
##  220.19428253  235.15814718  220.81750622  229.17157241  251.75118528 
##         10646         10647         10648         10649         10650 
##  244.02034279   66.13192912   74.82976824  104.29519397  112.02947283 
##         10651         10652         10653         10654         10655 
##  119.76375168  127.49803054  137.71561835  149.17278081  153.53283545 
##         10656         10657         10658         10659         10660 
##  160.02753965  185.17699404  197.57101718  187.92097974  195.65525859 
##         10661         10662         10663         10664         10665 
##  230.12420154  250.22050546  253.35071336  276.59974680  266.91885013 
##         10666         10667         10668         10669         10670 
##  312.02246233  281.14367354  273.67007143  317.44757641  304.34651010 
##         10671         10672         10673         10674         10675 
##  158.48013962  168.96885536  177.68058203  138.95242012  142.02695469 
##         10676         10677         10678         10679         10680 
##  157.53796167  164.02850622  187.33321299  200.70468395  212.16600606 
##         10681         10682         10683         10684         10685 
##  235.25037177  252.70727329  259.50885111  287.65240738  295.38668623 
##         10686         10687         10688         10689         10690 
##  303.12096509  310.85524394  284.17619339  291.91047224  299.64475110 
##         10691         10692         10693         10694         10695 
##  307.37902995  318.56017803  311.82555737  328.04288424  152.33090590 
##         10696         10697         10698         10699         10700 
##  134.11128789  149.96606780  147.97356435  159.47178577  161.26568673 
##         10701         10702         10703         10704         10705 
##  166.79267102  176.73424444  172.62513863  196.94907899  221.19064644 
##         10706         10707         10708         10709         10710 
##  246.25356826  278.22042825  285.95470711  285.20593796  292.62730311 
##         10711         10712         10713         10714         10715 
##  296.91055310  284.17619339  300.39352025  288.62272081  307.32335662 
##         10716         10717         10718         10719         10720 
##  313.81390118  320.30860538  314.86923271  145.46386705  151.02171058 
##         10721         10722         10723         10724         10725 
##  144.33860360  153.31661676  162.01445588  168.50916008  175.27571902 
##         10726         10727         10728         10729         10730 
##  168.62763093  175.11817549  216.31195140  249.48564637  267.02908045 
##         10731         10732         10733         10734         10735 
##  283.66462759  306.33077303  312.82547723  319.31602178  315.20691598 
##         10736         10737         10738         10739         10740 
##  311.88830531  319.62258416  314.12753816  324.38202529  321.09427385 
##         10741         10742         10743         10744         10745 
##  297.75610413  306.42308402  109.76857351  106.89904236  115.56602224 
##         10746         10747         10748         10749         10750 
##  113.63703959  108.02695911  129.10559730   99.47054281  133.52126549 
##         10751         10752         10753         10754         10755 
##  151.68864654  153.21745964  155.40107896  211.07764193  264.66430214 
##         10756         10757         10758         10759         10760 
##  273.64231529  313.67888947  311.69054566  301.12846163  282.56018423 
##         10761         10762         10763         10764         10765 
##  317.06971432  308.09929718  296.03623848  265.97323581  266.56446143 
##         10766         10767         10768         10769         10770 
##  278.33869724  116.67739813   90.80024613   99.46722602  102.54176059 
##         10771         10772         10773         10774         10775 
##   92.54795021  135.39463460  138.46916917  140.58014347  157.66477013 
##         10776         10777         10778         10779         10780 
##  161.32823279  215.27743995  229.25897033  274.33172329  280.40893402 
##         10781         10782         10783         10784         10785 
##  297.59398080  309.52015041  311.81880421  323.28012632  306.87439668 
##         10786         10787         10788         10789         10790 
##  290.87180114  311.69319896  306.34035886  316.55794666  321.80891657 
##         10791         10792         10793         10794         10795 
##  147.68444547  120.72453907  104.51064858  111.89699485  120.91190732 
##         10796         10797         10798         10799         10800 
##  128.64618617  136.38046503  143.18204285  152.77568369  160.50996254 
##         10801         10802         10803         10804         10805 
##  168.24424140  175.97852025  210.81001016  231.26886102  236.51983093 
##         10806         10807         10808         10809         10810 
##  230.28996311  238.02424197  245.75852082  253.49279968  225.12817908 
##         10811         10812         10813         10814         10815 
##  264.61452681  244.36067936  292.84340222  256.06529450   99.32513970 
##         10816         10817         10818         10819         10820 
##  111.40624913   99.94836340  105.14365997   98.03260481  137.99653398 
##         10821         10822         10823         10824         10825 
##  124.58255396  132.31683282  165.54620112  173.62425291  180.39497150 
##         10826         10827         10828         10829         10830 
##  192.81985388  196.82708948  210.14777356  216.02269044  222.56890833 
##         10831         10832         10833         10834         10835 
##  223.47189402  231.20617288  232.11447185  259.09242898  259.06875372 
##         10836         10837         10838         10839         10840 
##  261.83641467  269.57069353  281.03201564  104.10716224  111.84144109 
##         10841         10842         10843         10844         10845 
##  136.02733521  137.82727625  157.04655246  141.72357723  125.82628826 
##         10846         10847         10848         10849         10850 
##  132.31683282  146.35403653  177.35129617  215.64354284  268.00524276 
##         10851         10852         10853         10854         10855 
##  308.79052630  335.15285575  329.76311633  345.71904317  353.91628909 
##         10856         10857         10858         10859         10860 
##  338.95586081  339.15368024  349.37126805  324.33123841  335.51654613 
##         10861         10862         10863         10864         10865 
##  331.36753499  347.51946061  131.10451187  134.08278597  137.12646130 
##         10866         10867         10868         10869         10870 
##  116.16213432  114.54606537  134.46193356  132.84586462  147.09924974 
##         10871         10872         10873         10874         10875 
##  123.48506563  166.01883631  198.36701726  268.39140518  278.60899298 
##         10876         10877         10878         10879         10880 
##  295.75902088  303.49329973  314.95462184  325.79199698  330.11026585 
##         10881         10882         10883         10884         10885 
##  331.91020688  340.88822004  312.93693326  302.83781631  314.33603773 
##         10886 
##  308.63526504

Conclusiones

El modelo de regresión lineal explica el 39% del comportamiento de las rentas de bicicletas. Este modelo se puede mejorar agregando otras variables que impacten el negocio.