El objetivo de este capitulo es desarrollar un modelo que sea capaz de pronosticar 7 pasos hacia adelante utilizando unicamente la informacion de sus propios rezagos.
Parael desarrollo de la metodologia de este modelo, se tendra en cuenta un combinador para unificar los modelos que varian cada una de las semanas de entrenamiento desde 4 semanas hasta 52 semanas.
Adicionalmente, se utlizara una transformacion de Box Cox para intentar normalizar la variable.
Dado que la dinamica de los precios tiene una estructura con raices estacionales, una vez identificada la mejor transformacion de la variable, se tendra que determinar el numero de diferenciaciones necesarias para garantizar la estacionareidad de la misma.
Posteriormente se ajustan los regresores y se genera el pronostisco.
Este modelo sera comparado con un modelo sin transformaciones y con una ventana de entrenamiento fija.
In [1]:
# Librerias
#Carga de paquetes a utilizar en este documento
library(forecast)
suppressPackageStartupMessages(library(dplyr))
library(ggplot2)
library(readr)
library(tidyr)
library(lubridate)
library(XML)
library(moments)
#library(olsrr) #Prueba el VIF para multicolinealidad
select<-dplyr::select
Warning message in as.POSIXlt.POSIXct(Sys.time()):
“unknown timezone 'zone/tz/2018c.1.0/zoneinfo/America/Bogota'”
Attaching package: ‘lubridate’
The following object is masked from ‘package:base’:
date
In [53]:
#Carga de base de datos de precios
precios<-read_csv('files/MEM2.csv',col_names = TRUE,
cols(
Fecha = col_date('%d/%m/%Y'),
Dia = col_integer(),
Mes = col_integer(),
Ano = col_integer(),
Dia_de_Semana = col_character(),
Precio_Corriente = col_double(),
Inflacion = col_double(),
Indice_Inflacion = col_double(),
Precio_Constante_2008 = col_double()
))
In [55]:
constant_price<-ts(precios$Precio_Constante_2008,frequency = 7,start=c(1,4)) #construyo la serie constante // start=c(num_semana,num_dia)
last_year<-year(last(precios$Fecha)) #Last Year of the vector
leap_years<-length(seq(from = 1996,to = last_year,by = 4)) #Total dias bisiestos de la serie
total_weeks<-round(length(constant_price+leap_years)/7,digits = 0)+1 #Totalde semanas, sabiendo que la serie empieza un miercoles
In [68]:
last_year
2018
In [69]:
#Remover outliers de la serie de precios constantes
const_price_wo<-tsclean(constant_price) #Se remueven los outliers bajo el metodo de sumpsmu
#A continuacion vamos a identificar los datos que fueron tratados para esta transformacion
outliers_const_price<-rep(0,length(constant_price)) #construyo el vector para almacenar los outliers
for(item in 1:length((constant_price))){
if(constant_price[item]!=const_price_wo[item]){
outliers_const_price[item]<-constant_price[item]
}
}
#Agregar datos constantes sin outliers al dataset
precios$Precios_Const_wo<-const_price_wo
In [70]:
options(repr.plot.width=10, repr.plot.height=6)
with(precios,plot(x=Fecha,y=Precios_Const_wo,type='l',ylab='Precios constantes a Diciembre de 2008 ($/kWh)',xlab='Tiempo'))
grid()
In [71]:
const_price_wo
Time Series:
Start = c(1, 4)
End = c(1194, 4)
Frequency = 7
[1] 4.722234 16.494922 4.251391 3.191018 14.412766 3.845666
[7] 3.708885 1.960012 1.671282 3.101370 2.237635 2.270495
[13] 3.697704 3.598761 5.068634 5.962676 7.956858 7.967927
[19] 12.369206 22.183469 46.665899 66.829223 70.649594 102.363946
[25] 114.396801 110.583697 48.345729 28.856087 6.037896 6.464131
[31] 3.667269 6.881808 4.713816 2.991442 4.110945 4.671051
[37] 5.139509 3.768431 3.570611 4.864616 5.992344 6.006407
[43] 5.707354 5.839317 11.228342 7.451181 33.727942 40.137281
[49] 50.554591 50.402298 50.995888 49.587531 49.449530 49.827038
[55] 38.810006 42.972974 38.710639 37.950869 28.156700 17.915879
[61] 27.934834 36.641511 47.055490 38.026082 39.390385 35.361750
[67] 20.309600 35.931306 39.125932 38.632863 37.730525 37.798071
[73] 48.845242 21.607549 39.101521 40.828337 44.603040 50.050670
[79] 50.611818 54.500174 53.458047 63.502004 56.500363 60.031721
[85] 29.424037 15.913913 6.125970 3.521019 3.899956 9.546408
[91] 9.879198 21.131722 31.009189 28.937157 21.546770 23.973132
[97] 20.048063 25.646133 27.818227 62.301351 56.913122 44.105771
[103] 42.052585 43.074157 51.465008 45.217940 58.184633 50.960197
[109] 38.772454 41.183421 52.092079 53.040630 37.291785 33.675108
[115] 21.801695 24.350294 43.964056 40.263554 39.665475 37.673245
[121] 53.864461 65.632725 73.667477 101.057144 111.663684 100.032800
[127] 119.236587 125.017021 126.713635 112.577786 159.787740 159.952460
[133] 161.762827 159.061809 162.654518 158.409529 154.550168 158.864915
[139] 158.047771 160.640079 158.775997 160.465575 156.803176 154.204697
[145] 157.957908 156.136829 159.494244 157.522629 159.559941 155.476008
[151] 101.642322 145.750241 143.989072 148.767727 147.560579 150.670459
[157] 77.703350 74.630848 42.634154 69.390842 61.212644 77.275489
[163] 80.651572 66.745298 42.413276 41.993947 49.331774 63.009890
[169] 75.452467 86.078810 78.727014 79.954637 68.578213 97.890608
[175] 110.946568 123.974908 128.662204 126.441184 84.085452 105.723522
[181] 92.589224 87.596195 83.075379 70.392709 63.729848 61.054861
[187] 55.515776 50.318702 51.577120 50.103272 45.338603 45.204953
[193] 36.054929 49.151438 46.180603 54.692307 43.512313 42.375539
[199] 45.330853 22.335685 25.934957 15.590418 14.141285 8.525487
[205] 12.358382 10.666066 15.984982 31.317702 31.055880 26.542243
[211] 18.463678 20.645080 17.953490 13.165468 35.957334 31.501138
[217] 28.743500 24.832746 24.676826 21.197468 16.753469 18.126290
[223] 20.947530 20.449579 56.845140 23.909023 23.375323 16.100837
[229] 17.057741 23.631327 19.242595 21.260856 14.953554 11.850221
[235] 8.406973 9.931297 10.391136 8.107511 5.999112 6.171015
[241] 4.645908 5.152616 6.422714 5.733522 4.932218 5.682554
[247] 5.814737 6.106030 4.523417 4.931679 6.623269 6.770902
[253] 7.342966 7.998894 8.975743 7.951364 8.497844 10.808406
[259] 10.580944 7.278775 5.940523 6.127920 6.145337 10.196508
[265] 11.363890 12.010419 10.973399 10.065705 7.008241 7.319726
[271] 8.226313 11.411369 9.471789 8.150031 14.331599 11.021859
[277] 9.538399 10.704744 10.819054 12.414457 10.139170 6.136763
[283] 4.622874 4.086050 5.437012 5.134281 3.923391 5.905822
[289] 5.603033 5.297662 4.183201 7.977622 8.996630 10.533189
[295] 7.653852 1.984848 3.410304 4.014269 6.426817 5.750612
[301] 7.219236 5.198893 4.433245 3.820893 3.625059 3.656140
[307] 5.130573 3.764762 3.666118 3.662872 3.612857 3.641566
[313] 5.219031 5.289059 5.986056 6.078106 5.125938 4.451530
[319] 3.585050 5.247889 5.331924 5.302099 5.801909 5.155178
[325] 5.006400 3.558863 3.946976 5.734331 6.554927 6.188897
[331] 7.482696 8.033693 4.767753 3.928923 6.594866 8.820131
[337] 11.249136 6.760866 6.297589 3.639017 3.967287 4.048028
[343] 4.485692 4.619083 3.530029 3.488200 2.628374 3.108740
[349] 3.486408 3.433630 5.541491 3.522303 3.536579 3.513855
[355] 3.336563 3.997237 3.999502 3.337879 3.068493 3.504795
[361] 3.501704 3.501686 4.981898 3.499418 3.782840 5.927382
[367] 4.304867 3.554718 4.236451 5.280631 4.864848 7.625392
[373] 7.545636 7.669636 4.085223 7.159892 7.769080 5.811392
[379] 6.250116 3.856725 3.853704 3.851238 5.960720 6.239097
[385] 4.326988 6.503104 9.624786 6.601995 4.269301 7.955409
[391] 10.358782 16.484048 16.426721 26.982150 23.314363 14.026939
[397] 8.449888 12.050157 11.907368 10.647700 10.785679 14.141152
[403] 6.846020 14.204986 13.270114 10.357561 12.779703 9.286841
[409] 5.470765 4.645757 10.047105 7.238790 9.754484 11.430830
[415] 11.001659 9.088996 7.850377 17.002536 34.263416 51.592230
[421] 55.547599 55.185051 52.666100 51.510918 56.877652 56.571984
[427] 57.229635 63.011055 67.375803 64.632636 65.172800 63.388406
[433] 65.679838 65.773829 60.777357 61.317927 56.552799 48.180779
[439] 54.816353 54.343667 53.711774 45.859257 37.671956 29.383422
[445] 15.007703 22.611115 11.132030 11.676956 8.383455 10.727727
[451] 5.287235 4.995146 4.407583 10.015497 8.886165 8.940185
[457] 8.563655 3.615101 3.602482 10.045734 9.402185 11.986942
[463] 9.045918 10.676496 10.979274 3.547631 10.096720 9.189402
[469] 10.592841 7.357233 5.264693 7.589789 3.540016 4.267741
[475] 6.992362 11.409864 12.513650 25.032936 50.844608 66.941353
[481] 63.414285 65.905548 69.194675 66.165933 70.196031 57.131937
[487] 25.355424 56.996936 48.765132 66.961286 64.947771 80.262453
[493] 76.659770 70.016732 91.152496 92.789191 86.897407 112.159234
[499] 100.293856 85.390450 70.818996 74.907004 69.688277 63.981327
[505] 57.759184 47.693271 34.850591 33.937151 37.858838 33.656607
[511] 30.537674 21.525729 19.079828 16.278384 11.364615 16.749810
[517] 22.408823 24.242982 26.387360 25.231865 16.389401 12.963863
[523] 14.082258 20.458674 19.706249 39.579110 71.445658 94.976502
[529] 72.401388 62.762629 55.494265 63.750411 61.672336 56.192258
[535] 44.184413 40.382927 42.437471 49.328844 51.676540 49.025425
[541] 49.873615 59.567278 47.856218 54.822625 51.851221 61.174423
[547] 61.982851 60.228053 54.986514 51.455621 56.004295 56.016193
[553] 58.744448 55.199165 65.141643 58.954332 59.845319 61.058668
[559] 57.638841 62.335734 70.466173 77.793351 74.155132 76.388419
[565] 82.809469 67.437490 62.765968 82.865080 73.598472 70.824194
[571] 73.584112 76.704705 72.854370 56.585547 69.809068 57.785686
[577] 51.319368 52.574727 76.460216 62.403436 86.178331 68.459099
[583] 74.551511 82.045123 74.077598 60.970731 59.704444 65.632301
[589] 51.553164 61.631472 64.209066 39.016868 61.396799 63.901948
[595] 59.292569 61.648038 68.573795 71.820185 74.483404 99.789698
[601] 92.956501 99.872495 95.534556 88.763267 70.948277 61.530071
[607] 73.370523 66.315440 54.896758 47.534546 50.472080 47.511782
[613] 44.468120 43.555023 65.096047 52.924624 51.932715 48.024667
[619] 52.521611 47.332735 69.597903 79.878537 71.682472 81.892555
[625] 73.704388 75.747150 69.981723 66.709372 73.742214 56.425315
[631] 70.676249 60.189238 54.591287 49.376149 54.136286 59.667024
[637] 78.406268 73.757937 63.796320 59.297559 49.209484 70.150560
[643] 56.236192 47.419794 43.787575 64.676900 49.833969 36.113349
[649] 47.928107 57.083897 65.854987 51.763364 84.073821 75.643481
[655] 59.160507 79.968315 93.566811 78.215551 106.044869 96.757743
[661] 105.889394 68.798215 73.248175 81.699849 78.886122 83.055668
[667] 81.151074 102.257975 92.688099 94.457206 89.938307 110.267269
[673] 105.499493 83.984844 81.517911 85.575299 97.222528 86.551630
[679] 87.286317 79.747893 80.143327 81.819880 66.562911 57.993417
[685] 83.197863 94.105545 76.178593 81.669128 67.411644 51.989043
[691] 56.318589 58.824694 71.643388 76.311519 65.207722 67.502362
[697] 63.509014 69.110648 77.691891 82.332139 84.548953 68.943714
[703] 82.646151 88.320675 96.366874 110.865624 96.810771 94.719118
[709] 99.638187 109.877122 90.202487 93.583924 101.785243 112.760558
[715] 76.146647 91.386836 99.094803 83.822890 121.259034 101.168655
[721] 86.341200 63.956295 52.531284 53.490167 49.097780 56.373327
[727] 53.898641 58.751783 63.473307 56.224803 68.390316 49.369428
[733] 66.523017 71.998214 79.623460 85.198655 70.707030 74.049420
[739] 67.705625 67.275993 84.970873 89.724255 80.851585 74.598980
[745] 48.483294 44.865649 64.943835 101.451544 108.563015 71.619356
[751] 103.605897 83.724711 65.996695 102.464922 100.768665 107.671241
[757] 105.246163 94.191787 99.976032 72.666166 69.509760 68.473502
[763] 77.499354 67.811457 76.354625 97.646021 74.692235 93.287203
[769] 90.415952 108.870079 136.113916 177.922391 107.060726 88.650655
[775] 171.222016 188.728572 245.711092 211.442224 173.269561 142.757366
[781] 211.165033 213.762934 202.840614 172.108807 181.552240 221.194765
[787] 219.841589 213.002835 219.247111 219.011954 218.964302 216.637280
[793] 213.915228 211.560132 205.678511 210.970874 210.900069 210.759196
[799] 208.390179 206.540130 203.207080 198.315782 202.695086 202.827521
[805] 202.626964 200.364352 198.528947 195.068396 157.042332 183.104624
[811] 217.289810 221.694530 232.502763 232.705217 231.144957 228.701874
[817] 234.986112 237.156387 238.992115 238.762908 238.964569 237.403748
[823] 234.961510 242.468289 245.860721 248.918003 249.907982 251.331799
[829] 250.992893 249.773475 244.273417 234.658547 224.707976 212.690211
[835] 201.107000 187.760143 173.533464 161.209947 166.094460 170.643236
[841] 173.124764 176.041470 177.193576 177.466525 186.465484 191.350023
[847] 195.898786 198.380067 201.296796 202.448944 202.722134 211.721107
[853] 216.605733 221.154433 223.635399 226.552128 227.704304 227.977724
[859] 236.976710 241.861421 246.410057 248.890994 251.807543 252.959533
[865] 253.233077 255.905972 254.464581 252.686977 248.841396 245.431469
[871] 240.256978 234.204353 236.877454 235.436263 233.658726 229.812912
[877] 226.402966 221.228311 215.175551 217.848828 216.407730 214.630229
[883] 210.784513 207.374528 202.199687 196.146769 198.820200 197.379180
[889] 195.601707 191.756332 254.696617 252.812716 250.050586 256.015145
[895] 257.865740 259.379949 258.825658 258.706604 256.822435 254.059889
[901] 258.054754 257.936162 257.481277 254.958180 252.869183 249.014543
[907] 244.281117 248.275276 248.157311 247.704501 245.182638 243.093755
[913] 239.238683 234.504356 238.498315 238.381954 237.932729 235.368477
[919] 233.326761 229.487316 224.810040 228.694692 228.445743 228.222399
[925] 225.566436 223.571118 219.745618 215.121599 218.891141 218.503335
[931] 218.499786 215.713682 213.493743 210.196627 206.181281 208.672303
[937] 208.110435 209.171260 205.832549 203.391722 200.626911 197.222366
[943] 198.434771 197.698555 199.825403 196.201650 193.145100 190.867752
[949] 202.341821 204.417574 200.024533 222.627926 220.860076 223.558314
[955] 208.050783 213.634009 204.370567 223.846936 213.636279 188.033468
[961] 197.599090 205.028545 203.118585 199.475782 196.446342 205.433318
[967] 201.571694 201.147244 187.551774 175.751220 192.825779 187.719250
[973] 194.102581 193.027201 203.338814 202.085013 197.837124 192.397329
[979] 190.187665 186.160086 179.295697 168.303896 167.903699 174.698471
[985] 159.995745 159.104601 175.369598 151.594289 152.041541 145.781964
[991] 135.901708 137.788105 136.852498 137.022548 118.149943 120.027870
[997] 120.565294 116.088459 127.288824 125.079872 130.263486 122.596636
[1003] 130.323113 115.773621 109.595353 110.501031 101.563289 95.959647
[1009] 89.629302 85.865293 76.607239 71.949392 70.684828 65.930222
[1015] 68.363540 67.878998 62.107812 63.293924 64.476416 61.612363
[1021] 57.187970 47.291511 50.127324 46.041289 51.055143 43.847896
[1027] 47.418006 50.569413 52.406090 52.471173 54.900343 52.549017
[1033] 55.095840 58.520713 51.605992 49.440092 54.840621 55.679509
[1039] 51.720426 46.518760 48.248810 55.787682 52.007935 51.475158
[1045] 40.705196 37.326930 35.090203 36.935112 37.723978 38.081076
[1051] 36.586047 38.397344 38.853088 36.241738 37.913423 36.130833
[1057] 36.360393 39.087195 36.331802 36.331953 34.733282 34.401469
[1063] 36.739900 40.115680 39.423433 36.161869 38.522018 36.015938
[1069] 33.963349 33.452239 34.633340 34.243802 34.476682 34.611035
[1075] 32.396066 31.738628 32.797903 36.798398 39.982419 34.009781
[1081] 36.558950 35.199045 35.651455 34.772321 36.093756 38.669506
[1087] 37.260502 34.501912 32.705839 35.963965 34.783731 30.785555
[1093] 31.628767 31.848455 33.708072 30.111739 27.537315 36.049280
[1099] 35.421616 38.590642 35.261217 33.098011 29.311725 39.295631
[1105] 37.063179 42.415363 39.544841 38.441943 37.898502 34.968087
[1111] 37.590364 39.330837 41.280964 40.857675 32.417554 34.088441
[1117] 34.790822 39.468273 43.583633 40.944410 41.408301 39.557414
[1123] 38.756660 36.109769 34.373882 41.377574 40.346266 41.598350
[1129] 40.236848 41.716537 36.351754 44.055479 45.008333 45.917403
[1135] 44.557305 45.260237 45.647427 45.020027 47.391810 48.771843
[1141] 48.567681 48.080324 47.005556 41.152305 43.404365 48.539365
[1147] 48.719376 47.012938 50.043782 46.175704 48.955647 36.310217
[1153] 36.925848 43.072843 43.103607 38.256454 38.599562 36.773068
[1159] 37.203423 40.908037 37.734958 43.119332 46.667326 42.526251
[1165] 44.575030 43.309261 45.695849 47.496275 51.837845 46.088204
[1171] 45.148046 42.002417 41.413463 41.674002 41.352924 44.541897
[1177] 46.700634 45.618480 47.671325 43.422407 41.071257 41.255529
[1183] 41.173849 44.551157 45.151349 45.820436 44.704475 48.134879
[1189] 48.189521 48.729874 49.830597 48.240271 50.656418 45.405152
[1195] 49.341918 48.251743 47.712993 46.561104 47.111766 42.520474
[1201] 42.431819 43.952060 45.733200 45.814847 61.190009 48.453887
[1207] 50.157131 47.619614 44.561583 50.277253 43.837900 39.168802
[1213] 47.023375 42.143571 41.001594 40.465878 49.229391 47.766624
[1219] 48.599947 47.998183 46.758533 42.066123 46.993850 46.861681
[1225] 54.189960 54.074845 44.166891 47.715358 41.578086 49.281934
[1231] 54.633179 59.833294 54.358185 53.327308 43.045892 40.761651
[1237] 41.005299 40.576539 39.662343 44.741773 50.931052 44.557614
[1243] 39.684374 42.564661 52.554567 42.572979 42.772529 41.958024
[1249] 48.622525 42.363669 55.382577 43.651373 41.419996 38.562951
[1255] 42.439221 45.175448 44.695463 42.346273 49.163790 44.268899
[1261] 50.017022 43.261469 46.120818 48.401737 49.884862 50.687549
[1267] 51.265747 51.253515 49.147158 52.693187 47.845294 52.194620
[1273] 51.751923 43.404067 45.849238 49.380573 50.177142 42.774607
[1279] 56.799303 49.928888 50.722729 50.331924 44.343564 51.253732
[1285] 44.556764 45.368279 51.668105 42.301325 38.922581 38.738483
[1291] 39.271900 38.215508 50.652156 48.945324 47.563884 53.255776
[1297] 46.090688 45.897346 43.323162 47.155792 44.415247 43.297126
[1303] 47.823940 44.576260 51.549513 45.850949 45.301284 50.450970
[1309] 47.180120 48.491923 49.394885 46.744826 44.334455 43.823151
[1315] 42.465240 43.978337 45.151975 44.565828 41.289853 42.523950
[1321] 41.794251 41.643298 43.084993 44.408785 40.227885 41.018407
[1327] 37.357242 42.312243 41.869846 40.362535 37.993892 37.661648
[1333] 36.938782 43.098252 37.981904 39.345624 40.074732 38.384080
[1339] 36.700692 40.145377 36.669914 38.324551 36.813150 38.480315
[1345] 46.103125 45.792708 35.417358 34.404439 35.837501 38.032682
[1351] 37.355304 39.848691 36.531042 37.147972 36.592781 45.084918
[1357] 44.573472 44.807912 46.965920 41.815805 42.834164 43.676185
[1363] 45.186866 43.863405 43.985030 42.389000 40.373349 39.432908
[1369] 41.437266 44.144544 43.704543 48.093977 52.628771 48.565738
[1375] 40.281233 37.805491 45.231726 44.509510 39.218759 39.019985
[1381] 39.563962 39.186665 40.792595 43.507923 52.084172 41.604997
[1387] 47.321687 45.628337 42.809237 42.802625 48.669937 54.840810
[1393] 51.735009 50.140795 45.035263 43.253735 45.361099 44.372691
[1399] 46.705658 46.283329 48.331515 52.427024 51.041281 42.710162
[1405] 46.397082 47.698343 54.479962 48.299001 45.842292 49.782663
[1411] 44.735695 45.917409 51.396484 63.567239 60.499595 48.549086
[1417] 48.830585 46.808704 48.385032 49.084090 52.371977 50.592522
[1423] 49.461510 52.217938 50.151740 46.397585 48.530387 49.174577
[1429] 49.091845 48.756477 46.752023 48.213672 46.675653 48.031684
[1435] 46.944921 57.221314 48.697806 53.343095 46.341402 50.525746
[1441] 52.145002 49.079448 53.710639 53.441062 48.292151 47.686747
[1447] 47.681986 46.926513 55.065721 50.592868 47.554525 47.159353
[1453] 46.903091 46.898409 46.893726 47.864174 47.184415 59.550781
[1459] 55.587897 55.693190 55.945460 53.607404 58.814282 59.581848
[1465] 55.473493 52.424636 49.528870 53.786561 54.618784 52.605934
[1471] 52.593133 49.945916 50.403676 52.097610 53.399315 54.476060
[1477] 53.718891 54.590341 54.823766 53.244178 53.818947 56.367573
[1483] 56.507970 55.153373 56.340373 57.124543 54.828021 54.520332
[1489] 54.810381 58.012608 58.003275 57.396770 55.148271 54.467727
[1495] 54.458964 55.494630 55.112791 62.636663 60.484514 63.377005
[1501] 61.846067 56.410089 59.791714 60.191961 64.633754 60.976764
[1507] 60.411454 60.293110 58.387619 61.098839 63.809464 72.120609
[1513] 61.733781 59.025389 57.381686 55.664054 59.712687 58.515799
[1519] 58.621128 58.354257 58.065312 57.858166 56.029378 58.254226
[1525] 58.322224 57.609776 58.457993 57.597124 57.194204 55.578538
[1531] 59.902821 62.055762 59.296282 59.378528 56.427127 56.640472
[1537] 54.459733 60.301996 60.971549 55.575866 58.664045 56.709736
[1543] 57.299802 54.426754 56.953836 64.017410 56.829771 60.371979
[1549] 57.509986 56.736372 53.505784 54.500253 56.717191 56.725737
[1555] 58.676636 56.990654 55.469484 55.463233 58.245329 59.389590
[1561] 62.919562 58.510437 56.918884 56.091837 53.421424 55.595628
[1567] 57.843158 57.094339 57.011208 56.003825 55.551275 53.546478
[1573] 56.974820 56.965727 56.956635 55.506958 55.966813 56.486252
[1579] 54.483534 55.228072 57.286908 57.926249 57.880166 58.645638
[1585] 56.497003 55.197155 57.511363 57.907784 56.829499 57.557601
[1591] 55.632109 55.365381 53.367293 55.347710 55.523066 55.137753
[1597] 53.545229 53.536099 53.306162 51.530901 54.502022 52.396115
[1603] 51.504547 54.143217 55.089906 54.420464 51.469429 55.686457
[1609] 70.530443 56.328656 56.891982 61.266655 54.537587 51.408032
[1615] 59.436843 58.751579 56.408158 58.562866 54.921933 51.355463
[1621] 53.033356 57.665151 57.926420 60.921550 59.518832 58.314406
[1627] 57.784078 58.053138 65.472760 73.200891 71.773703 64.609473
[1633] 67.505487 56.594564 56.571169 56.547783 59.515309 62.837738
[1639] 62.702427 64.119131 57.741935 56.407673 59.004057 67.890300
[1645] 62.663460 68.082745 65.049364 61.242383 56.317297 59.740461
[1651] 64.771107 76.989794 75.500988 80.022498 64.573532 61.872391
[1657] 76.602633 69.657274 65.251722 60.447443 61.361229 59.852127
[1663] 58.571886 64.339239 66.736998 61.876664 64.195598 62.645666
[1669] 71.547075 65.261821 73.463380 85.530361 83.710609 82.964544
[1675] 88.906546 68.662150 63.650383 88.320141 73.670163 80.429412
[1681] 74.989931 68.848914 61.681529 57.439705 58.822134 60.386196
[1687] 60.920856 63.659828 57.890774 70.425856 57.757113 59.345671
[1693] 59.524435 61.321354 61.112117 59.497190 57.567882 57.536404
[1699] 60.873301 62.733681 63.042070 71.329944 64.136219 63.331398
[1705] 59.065032 63.367017 65.358476 71.746999 86.447702 79.787830
[1711] 50.577656 61.621943 64.391406 63.797442 62.623287 59.013753
[1717] 61.756670 62.245433 62.207129 70.926729 74.862340 70.634506
[1723] 76.199312 86.847927 72.441175 61.074600 84.753601 84.863876
[1729] 90.039197 88.480675 84.876231 65.643799 63.186197 75.044590
[1735] 80.074760 74.138732 54.447775 49.414294 64.770563 71.265093
[1741] 70.597353 82.197091 93.795905 90.886883 63.211406 74.209804
[1747] 61.068005 63.403836 72.667651 64.922796 67.450583 74.982230
[1753] 58.583892 57.652354 56.002453 66.221424 67.178747 64.069702
[1759] 64.462061 61.871322 56.002745 59.533144 69.490987 63.522196
[1765] 65.095438 62.167262 57.184602 50.199313 47.847865 54.170037
[1771] 56.907647 52.988702 79.925135 62.382825 61.004078 54.492159
[1777] 53.080209 57.634783 62.342810 60.691144 56.071337 59.628421
[1783] 63.386998 74.856750 59.667047 69.778169 66.800545 61.108450
[1789] 56.266751 63.012003 72.171535 67.848479 78.055521 70.951575
[1795] 71.078803 62.240525 68.842628 67.782889 76.229023 72.805228
[1801] 73.489922 68.629331 59.016919 55.024786 60.294371 65.511645
[1807] 56.418660 69.928636 63.767942 60.379517 63.073667 65.755242
[1813] 67.897114 65.352639 63.403389 77.495309 67.629159 76.167417
[1819] 78.255395 76.100900 87.255963 83.048614 69.777503 73.759847
[1825] 82.607069 81.615787 74.191707 69.235559 71.124812 67.555425
[1831] 60.188762 69.933108 78.006396 51.334267 67.591158 62.034854
[1837] 81.610455 57.039778 65.970354 64.123974 78.471065 74.013128
[1843] 73.355516 68.357808 62.264526 63.506456 51.376565 79.240078
[1849] 79.334651 71.237717 82.087238 63.969739 80.231468 107.623848
[1855] 93.124428 93.456608 81.831514 80.593329 69.176892 82.830799
[1861] 96.478448 97.769538 91.716463 87.097965 93.711096 65.918523
[1867] 84.887061 92.453805 91.693341 92.844489 105.383207 100.538280
[1873] 69.693365 62.250330 109.018889 107.776234 58.809149 99.975357
[1879] 87.489111 70.449321 88.547364 74.842419 113.900220 93.759663
[1885] 112.668795 99.253849 83.534439 103.755474 118.532121 117.662074
[1891] 120.332993 121.163410 107.547963 76.494203 119.596901 119.970409
[1897] 83.423695 106.383747 116.751679 68.833785 87.778067 64.650092
[1903] 106.687636 113.875687 89.912886 98.513833 74.459226 75.252489
[1909] 93.923954 80.500677 84.272578 89.598584 81.209085 74.185051
[1915] 72.443427 65.431249 82.897362 81.834424 72.382012 72.755129
[1921] 69.106978 57.500498 85.988261 83.880376 87.309838 68.849419
[1927] 60.324111 65.701377 46.961200 76.634425 80.901713 87.324900
[1933] 78.336624 89.992668 73.703550 61.781790 64.534776 74.635592
[1939] 105.159906 71.297540 72.134794 75.581969 59.853295 50.390300
[1945] 77.592608 64.688517 97.719555 69.209002 60.100029 48.549349
[1951] 76.858667 107.345027 70.517367 77.249930 62.447594 63.764731
[1957] 60.028256 74.989377 78.714341 75.662530 83.602911 110.396110
[1963] 75.640881 55.675182 77.063316 91.139497 104.267168 91.990895
[1969] 72.086982 72.143733 66.394197 102.570073 93.509964 81.482659
[1975] 97.935869 85.641527 86.438058 81.704278 88.031540 82.893850
[1981] 90.095588 93.114459 92.359154 92.615100 98.463558 88.223317
[1987] 95.977068 100.987214 108.230423 106.734349 104.927853 92.102898
[1993] 78.908457 89.711124 89.614883 101.755299 88.749435 88.316407
[1999] 92.786640 86.094856 85.609487 89.874792 94.472696 89.412093
[2005] 113.224456 98.183318 126.477719 126.458895 131.510184 153.462434
[2011] 160.644655 106.370773 91.748170 133.397390 139.592038 129.120299
[2017] 141.527541 140.679019 119.382964 91.645350 132.862960 147.716696
[2023] 156.598573 143.694105 151.552858 122.847331 98.403375 128.945888
[2029] 137.398476 127.547194 125.001629 133.179152 127.072156 116.745910
[2035] 130.822992 140.936673 153.433506 140.702545 146.431135 148.330134
[2041] 111.686977 146.923862 167.483958 159.019376 151.426305 153.326728
[2047] 139.313517 121.006112 138.629644 129.493453 124.373948 124.841142
[2053] 132.971175 125.352146 104.363499 146.387756 129.987637 137.263304
[2059] 136.917131 132.644714 115.764972 103.239503 128.786403 129.563832
[2065] 128.116969 128.583794 123.892173 117.395636 91.637600 87.337311
[2071] 99.254046 90.742370 79.792500 92.382504 91.895540 85.434493
[2077] 91.611278 89.485533 92.057292 90.342323 87.316928 97.002622
[2083] 91.430609 89.743807 95.450957 96.965070 101.381772 98.739362
[2089] 102.103940 97.311190 107.681163 108.277641 108.244695 92.416192
[2095] 83.917204 90.615205 92.310580 99.256490 103.316112 103.084748
[2101] 104.324874 102.126930 103.734036 101.457907 104.804750 108.531982
[2107] 109.441593 117.872968 124.161229 122.073687 115.291047 119.917378
[2113] 98.666951 103.444329 97.949955 92.434608 71.843827 70.805774
[2119] 78.508853 85.610235 82.280240 89.826908 81.748522 82.257556
[2125] 77.939978 81.119448 79.129965 77.610338 69.810992 73.294651
[2131] 68.458066 68.522441 63.382352 68.493704 72.801998 68.461930
[2137] 63.680031 65.406944 60.829153 61.141626 63.353573 72.859030
[2143] 73.052997 74.843897 73.130724 72.419472 69.025904 65.252109
[2149] 60.495451 58.769801 66.834619 72.096691 73.325778 72.168726
[2155] 68.542545 67.540346 65.523207 65.433620 65.858353 64.399298
[2161] 63.085139 64.397581 61.913675 60.983184 55.988566 56.519434
[2167] 58.515632 60.733607 62.908162 62.095034 68.370006 71.189895
[2173] 61.743854 59.095434 58.205969 61.309662 64.155904 70.821651
[2179] 62.647770 61.998202 59.986957 63.419661 60.838186 61.869872
[2185] 62.557491 59.177955 55.776609 58.552901 60.774608 55.971227
[2191] 57.963891 61.255879 56.775147 58.546828 52.337116 57.147626
[2197] 87.074180 61.467357 56.503451 55.905934 65.079218 55.870508
[2203] 58.053212 58.285344 58.828080 57.208634 59.824840 53.201491
[2209] 64.372312 61.645413 58.032839 56.888891 57.516798 54.588814
[2215] 59.057299 53.947157 57.257208 61.228409 66.993700 62.004659
[2221] 68.689821 62.835429 48.364337 48.390783 58.312400 67.516177
[2227] 65.792206 65.122207 55.973800 57.087526 57.581781 57.226100
[2233] 58.579745 58.710671 60.600577 65.687908 73.052650 79.477571
[2239] 78.807929 87.541820 89.220046 68.175021 64.633319 56.708914
[2245] 71.666087 77.307928 64.734704 64.474436 61.313823 57.202082
[2251] 56.829515 62.589879 69.836127 66.487747 73.383624 75.555356
[2257] 67.578163 60.754798 70.716370 71.003872 65.258789 69.488044
[2263] 63.285608 61.993879 61.929610 61.625696 69.307486 68.944023
[2269] 75.474811 74.360656 68.979669 70.091033 72.645944 69.834756
[2275] 69.391119 70.272934 72.937826 74.437718 66.247746 68.223453
[2281] 74.434908 77.132070 67.401572 68.468617 71.694942 68.956613
[2287] 82.953505 81.505464 78.281153 56.430262 64.543935 67.800477
[2293] 56.589507 79.375195 67.015447 73.191575 73.895214 74.143363
[2299] 58.861558 49.936718 56.135288 61.517634 69.673789 67.410262
[2305] 52.074529 70.572641 57.524543 65.639000 59.875749 61.047068
[2311] 56.055758 56.725060 58.131952 52.187745 59.842562 63.019926
[2317] 55.224063 54.218547 56.433298 55.094559 46.987497 63.778780
[2323] 59.790151 47.222616 51.036508 46.768535 45.884006 49.791132
[2329] 50.950211 52.480917 48.202247 49.754885 51.661339 49.882088
[2335] 51.920474 59.747429 59.960446 66.061909 65.371938 66.323155
[2341] 60.090220 63.515450 62.938770 58.711766 55.731720 50.771031
[2347] 47.247814 46.745474 51.492668 47.466410 47.724430 47.105149
[2353] 46.338736 45.490083 44.310225 45.277378 44.436922 47.717724
[2359] 44.394687 44.734635 45.073654 46.875656 48.986308 51.687307
[2365] 53.158819 53.075683 52.116895 52.559940 53.424215 56.053031
[2371] 57.646146 58.963960 61.128829 59.342473 56.833718 57.099133
[2377] 59.168477 60.067537 61.842855 63.847309 69.361939 75.122304
[2383] 59.661228 64.848065 81.504910 64.083188 66.999758 65.602079
[2389] 71.946921 74.685782 80.817160 82.332457 75.979785 75.516015
[2395] 78.800653 79.675890 80.326225 82.236076 82.911919 83.970910
[2401] 83.701817 78.833465 77.198934 76.298897 76.745087 81.169978
[2407] 80.490805 76.672896 85.065768 84.689031 110.790229 86.554160
[2413] 93.970084 86.488116 87.821104 130.210614 75.070792 79.370784
[2419] 82.056870 75.386645 98.794982 77.520434 76.061675 67.942297
[2425] 73.887255 63.022167 73.120534 75.425082 71.254468 74.090098
[2431] 103.107809 94.211547 86.702643 96.269464 85.953662 89.698825
[2437] 91.329341 88.169521 86.698958 64.440858 65.017497 61.110615
[2443] 52.652265 53.650326 54.015498 87.491469 77.617082 85.241737
[2449] 92.128376 88.733161 89.550548 85.915160 80.089976 73.995022
[2455] 63.898938 53.213206 53.635239 68.684583 68.324095 62.371087
[2461] 52.272415 69.859954 75.353600 84.118478 77.670346 74.918969
[2467] 74.837912 56.210603 75.590600 72.163225 77.114711 67.032868
[2473] 65.238304 53.030652 49.937735 60.287479 60.993305 58.477983
[2479] 58.400473 53.575977 53.782600 52.122428 55.489780 65.284309
[2485] 69.391212 68.538255 60.674553 51.785831 54.878305 61.433050
[2491] 63.987963 59.888795 62.461041 58.838391 61.361840 58.035100
[2497] 61.530245 58.362654 55.657795 49.199366 46.196094 47.387225
[2503] 46.232243 47.542488 52.365101 60.440418 56.086241 53.003000
[2509] 47.590948 49.314537 47.008478 48.071482 54.932067 53.940844
[2515] 45.915627 45.637186 45.775839 47.496704 52.380408 55.531492
[2521] 50.556090 49.339746 49.780196 50.732086 53.001882 52.097953
[2527] 52.162200 53.630210 53.371814 49.589628 47.980007 52.411496
[2533] 52.648710 53.703679 50.815903 49.208827 48.714512 48.757512
[2539] 53.449561 55.250454 55.804795 53.215914 55.678822 54.789820
[2545] 53.799340 54.634089 55.534243 53.941440 57.048523 59.511295
[2551] 59.242527 58.269955 59.534047 62.558834 63.755751 64.035882
[2557] 64.056653 63.029268 62.993365 63.679840 65.111293 62.888664
[2563] 63.846066 64.367636 64.051629 64.811780 65.795623 68.896093
[2569] 66.826681 66.436532 68.202667 66.355682 66.670741 69.745117
[2575] 68.136223 66.968730 67.696984 65.676912 62.917789 62.077661
[2581] 65.033223 64.983264 63.428960 65.083642 62.989665 65.008480
[2587] 61.677673 62.632575 66.744929 64.920405 65.802755 63.702031
[2593] 63.769979 62.958342 63.642997 63.558346 63.302661 64.539243
[2599] 64.484603 64.532209 65.125183 64.879186 68.451223 64.678966
[2605] 63.421209 63.281995 64.066309 64.703275 66.848495 67.959338
[2611] 71.361190 69.299838 71.516868 71.419357 70.904602 71.199422
[2617] 71.470479 68.447355 67.881405 66.602396 68.282395 68.319431
[2623] 77.385177 71.746254 76.432160 78.215897 76.456046 77.623904
[2629] 75.530349 77.207461 72.867558 73.631944 76.312989 76.403054
[2635] 77.611310 77.514340 79.222798 81.295352 82.693632 84.117863
[2641] 85.868265 87.846544 89.099317 91.013609 92.158338 90.570597
[2647] 83.815519 89.031174 93.737234 92.222330 92.850532 92.561138
[2653] 92.438597 92.963540 92.475663 92.061148 92.614088 88.217011
[2659] 86.677176 78.155513 74.391897 76.117548 74.206963 70.950488
[2665] 71.522061 72.521771 71.847269 75.218608 70.037957 67.735624
[2671] 67.373458 69.225524 67.459224 71.823350 73.740592 73.370822
[2677] 76.419280 76.866814 76.935073 76.089579 76.726326 78.466124
[2683] 77.445574 75.018712 75.829703 75.991427 80.893817 79.224864
[2689] 83.589215 79.066385 84.137399 88.613058 90.902096 89.852184
[2695] 91.522284 93.791076 95.923020 94.949755 95.175716 96.379176
[2701] 95.955256 93.178448 92.772435 95.239665 92.481336 92.876292
[2707] 92.101317 87.859316 88.675151 86.171815 90.105404 88.360800
[2713] 87.905875 87.038767 87.658515 86.326216 85.654043 85.754743
[2719] 85.512350 85.275328 82.828383 83.242969 84.412797 87.481563
[2725] 88.920411 88.986349 89.075466 89.525988 92.068852 90.449334
[2731] 93.804757 94.153286 92.780475 93.996501 93.642156 92.355177
[2737] 94.193831 92.668194 96.747113 98.236361 102.030596 101.899602
[2743] 102.908152 103.028826 102.306288 101.948332 101.847001 101.087755
[2749] 101.684095 103.427410 102.295851 103.825954 105.026732 106.715398
[2755] 106.268121 105.353256 106.704565 105.252508 105.884067 105.130560
[2761] 105.085666 102.649368 100.784077 99.479595 98.794041 99.302839
[2767] 85.719272 94.595952 93.760139 95.922119 93.681696 93.054152
[2773] 93.934551 98.807397 96.334000 96.525611 100.367227 98.788438
[2779] 94.890458 97.230723 96.918155 96.717528 97.266601 93.518378
[2785] 94.371298 92.126518 97.007516 93.900325 98.016843 96.344395
[2791] 101.910322 101.699904 106.305970 108.118700 109.222335 117.282356
[2797] 117.293986 110.035080 114.217114 113.945940 103.916303 111.257879
[2803] 108.460401 106.439767 106.509860 106.390769 108.526759 106.749812
[2809] 106.660470 105.828727 106.290815 111.671308 110.678622 108.128000
[2815] 113.852803 111.596485 113.771871 110.501611 111.023436 111.742089
[2821] 114.058196 116.900801 116.105215 119.755295 118.826330 108.236288
[2827] 103.270407 107.139453 103.231081 105.598418 107.297091 107.624376
[2833] 106.238307 107.029281 104.579408 100.374673 98.974598 102.341220
[2839] 101.260276 100.942439 101.390191 100.242249 102.489536 104.432018
[2845] 106.347745 106.386871 104.907037 104.975718 103.009438 104.813354
[2851] 103.465275 108.054966 105.955941 104.366812 105.795377 100.408368
[2857] 99.071342 98.052740 96.603204 94.665428 91.793283 89.254686
[2863] 85.908131 84.237762 78.483710 81.305059 78.843048 72.402386
[2869] 70.971975 80.663986 69.113294 69.737006 75.376127 73.227217
[2875] 74.674230 73.423698 78.290521 76.279440 87.524586 91.730056
[2881] 95.144098 90.686748 89.356122 87.864888 86.292587 89.565474
[2887] 98.842899 94.877833 87.627542 89.248017 94.393756 98.499933
[2893] 92.689838 86.433954 82.858956 84.773739 82.537985 84.122946
[2899] 84.755684 84.479006 82.872718 83.006007 84.866544 85.624049
[2905] 88.971529 88.819191 85.891639 88.354227 89.627424 94.533973
[2911] 91.755733 94.553603 93.906731 96.782291 95.701858 95.984443
[2917] 97.573590 95.520047 95.239786 96.335288 97.052888 96.121915
[2923] 96.115168 96.675700 95.744049 95.902070 95.868446 95.844978
[2929] 94.326063 89.972115 91.991898 91.893521 93.278683 90.174485
[2935] 87.563898 84.285283 81.642410 85.254205 89.347347 78.761520
[2941] 79.405060 79.105466 78.740203 78.749574 82.879509 86.529559
[2947] 89.872803 87.065888 90.097321 95.815526 91.946025 92.264525
[2953] 92.397583 97.339807 94.494605 90.943905 91.121062 86.379258
[2959] 90.377541 100.615710 94.061286 89.462420 83.987040 77.689801
[2965] 70.267156 80.550112 91.429318 90.341146 89.577086 94.037032
[2971] 83.634417 81.347401 100.055486 98.205596 104.310428 85.225917
[2977] 82.587490 71.187067 81.588401 83.599669 78.877267 74.925458
[2983] 74.690068 75.115881 75.368731 67.603094 82.911625 87.174947
[2989] 75.472795 83.461414 82.242336 80.936699 79.736075 79.918584
[2995] 80.178740 76.919930 75.106414 71.519807 71.413097 71.744178
[3001] 73.848437 79.337887 77.585437 73.112655 74.151749 74.710516
[3007] 73.280205 71.350800 82.944773 71.370244 71.387610 68.159959
[3013] 69.056064 69.608594 70.942297 68.797468 71.623137 71.751898
[3019] 71.839710 72.596973 73.055377 73.159775 76.735797 78.141041
[3025] 81.030027 80.995894 80.016200 76.817275 78.076715 80.480927
[3031] 80.642538 80.523023 79.334843 80.554072 82.176040 80.684685
[3037] 82.329358 86.860598 86.165330 82.756075 82.595028 81.606867
[3043] 82.868723 83.751826 88.388360 87.962562 97.661501 97.522045
[3049] 90.108063 91.011705 87.530157 85.961551 84.782106 85.636255
[3055] 86.254516 83.276668 81.085218 73.373233 75.799903 70.560091
[3061] 65.355552 61.152482 57.662416 55.551048 56.694513 60.911740
[3067] 63.929777 64.963071 67.565657 69.203707 70.973331 72.373540
[3073] 70.895976 70.656463 70.516161 66.488521 68.696447 73.539414
[3079] 73.371742 69.831656 72.855584 73.010793 72.072047 75.342761
[3085] 75.482366 72.224428 70.783432 71.716104 76.685920 78.719846
[3091] 76.757189 76.990098 77.633551 77.304753 73.844685 72.707119
[3097] 67.494047 64.783654 60.609427 64.230103 68.911633 69.517528
[3103] 78.018242 80.682438 78.093793 82.442716 84.857839 83.810877
[3109] 85.790803 85.553696 81.164248 77.926717 83.051221 87.473158
[3115] 83.308665 84.389468 78.936176 78.856970 77.679486 75.499748
[3121] 76.336811 80.843901 80.136255 87.643501 85.523696 90.398514
[3127] 89.471421 89.059596 94.652571 94.427699 90.254844 95.953145
[3133] 96.277155 95.984873 95.265786 103.136203 103.316164 101.047416
[3139] 98.605530 97.620489 97.387202 97.041419 96.326903 84.237762
[3145] 97.197642 93.764825 82.621179 104.850708 104.220532 101.693323
[3151] 100.380135 99.092864 99.012924 97.498147 97.875662 96.115338
[3157] 94.640271 92.672114 91.519626 92.750186 90.191816 91.216690
[3163] 87.056396 87.401931 85.789142 93.937470 92.398315 87.698662
[3169] 93.074745 102.014448 94.441125 94.495332 92.917800 91.221853
[3175] 87.941916 84.888755 89.366692 90.657847 104.332578 94.856504
[3181] 104.933153 92.372155 100.271384 85.956455 79.918098 85.587444
[3187] 79.933933 81.389652 81.759521 102.106583 100.781540 98.057491
[3193] 97.592013 93.316470 87.920138 87.670669 85.356222 92.320429
[3199] 89.394182 90.740037 88.499927 86.334776 83.333146 81.131173
[3205] 82.343641 85.169762 89.328943 86.806160 87.952977 86.497197
[3211] 88.351003 90.716305 88.745526 92.613047 95.082711 94.721482
[3217] 90.035336 97.913583 97.059530 99.919444 100.712679 117.829074
[3223] 108.734695 107.025210 117.032884 110.249318 101.167661 93.517645
[3229] 88.526217 84.189654 77.199728 76.936390 85.264782 85.132121
[3235] 84.787992 77.278641 67.757681 66.583656 76.153803 72.264251
[3241] 70.815718 72.806164 67.646266 67.010933 65.975532 69.186036
[3247] 75.883446 72.614856 73.068856 76.594074 72.826919 64.078901
[3253] 63.382274 66.683955 63.375299 63.517848 59.860339 53.403884
[3259] 52.877777 52.600984 60.524111 60.354525 61.271669 68.282004
[3265] 57.238192 54.572117 55.180111 60.539626 69.844211 64.246892
[3271] 61.059849 61.064843 60.945404 64.893575 63.142655 60.894706
[3277] 69.296620 65.069095 63.412982 57.678041 67.865369 80.480389
[3283] 72.249855 71.437808 68.261224 66.736148 63.501824 65.798953
[3289] 65.658022 68.303915 66.870503 68.743039 67.322691 65.787043
[3295] 73.207243 69.243799 69.522466 67.997225 66.099440 64.243904
[3301] 63.394771 65.559802 68.941128 72.249522 76.233401 76.705090
[3307] 71.932813 68.838376 70.646695 72.108413 69.129459 68.877994
[3313] 68.549898 70.082299 63.747960 64.177318 67.495535 63.646451
[3319] 65.197700 66.156516 67.445611 64.776428 68.571576 67.638178
[3325] 68.161702 68.454207 67.336887 63.918102 62.193273 64.043060
[3331] 69.651554 72.045507 97.432431 81.564820 75.598001 73.510188
[3337] 72.088142 79.611962 71.601770 61.616575 62.501395 61.635568
[3343] 61.896602 64.640323 68.156250 71.600489 75.968145 69.449630
[3349] 66.271268 65.087385 70.471235 77.812674 80.646499 87.468613
[3355] 80.402943 80.741959 79.526580 87.616522 87.346784 88.882766
[3361] 92.307099 90.607980 88.993252 85.183205 91.796015 92.344358
[3367] 95.471001 97.172659 87.730027 87.259905 85.775834 91.908854
[3373] 88.177359 95.774722 86.116642 85.589052 85.239088 86.781328
[3379] 90.424657 93.095054 95.604522 93.999997 94.345027 91.512863
[3385] 84.901576 89.115016 84.703665 95.236231 92.057659 91.137282
[3391] 86.632797 86.393215 85.884541 92.995952 85.597735 94.232273
[3397] 91.459086 88.263593 85.005880 82.318198 83.166966 88.094819
[3403] 78.645088 85.726103 82.833467 83.170193 83.407754 91.013970
[3409] 83.570834 81.792733 81.929136 77.790956 74.288147 80.176769
[3415] 78.369136 79.871278 86.010701 80.443635 82.725328 83.181620
[3421] 85.624666 95.077285 86.389583 79.699518 81.359459 79.407851
[3427] 79.973416 88.245711 85.500824 84.325790 85.312797 87.866882
[3433] 80.624824 81.038799 84.009032 88.962290 81.426584 79.747922
[3439] 79.677888 78.910202 78.824526 80.289387 83.236789 100.992948
[3445] 86.408984 86.031409 88.893741 89.197148 84.992583 85.057114
[3451] 87.533788 86.901578 85.827667 86.851733 90.050060 105.323309
[3457] 96.306794 98.570359 110.585808 110.089695 108.441745 114.657646
[3463] 114.967017 112.793729 106.369279 106.864576 110.399606 110.354993
[3469] 106.805994 102.926866 100.325609 97.578366 99.164520 98.879960
[3475] 101.820535 98.605659 103.140397 90.988414 93.685084 101.286514
[3481] 96.706033 101.921792 106.124034 105.621645 105.297781 100.802420
[3487] 100.575266 97.763520 98.680282 98.788633 83.406765 91.170625
[3493] 92.277128 98.070034 93.032064 94.328137 90.367632 87.718490
[3499] 85.655175 78.815291 89.338473 93.868843 84.773730 90.051666
[3505] 76.936063 102.637266 87.878329 92.236882 85.103196 77.601118
[3511] 81.152970 88.172864 75.430267 86.756923 85.103472 90.267432
[3517] 94.017745 92.389150 88.641858 80.963975 84.707235 85.730027
[3523] 68.830822 80.955083 74.545216 76.057767 79.674620 82.664137
[3529] 88.666389 89.157978 87.881257 85.040848 85.233060 87.704330
[3535] 85.759200 82.521367 82.252363 82.029127 86.181392 85.227279
[3541] 86.569522 91.362952 85.640298 87.791890 89.855026 89.168573
[3547] 90.655358 90.473512 91.294673 89.322683 88.220389 90.076561
[3553] 84.971066 86.096280 81.567847 79.703329 86.867048 77.515795
[3559] 76.587360 79.807027 70.855009 78.420091 78.837384 79.557846
[3565] 72.474444 83.747562 79.170227 79.249468 79.143184 81.412111
[3571] 79.561968 81.694250 81.883538 81.714384 84.722499 91.756421
[3577] 91.155663 90.337872 85.907121 87.760042 87.960004 87.877930
[3583] 89.609969 90.051273 86.735109 87.735871 83.587333 82.177409
[3589] 66.497124 82.707739 81.380335 79.240678 77.355881 69.031367
[3595] 77.013665 79.667796 82.053915 82.913179 87.047360 89.231875
[3601] 83.694042 85.330770 83.185002 82.521306 81.599914 80.530359
[3607] 76.433235 64.628728 62.738311 60.878500 49.928658 72.957351
[3613] 77.300064 65.090228 48.204811 51.825811 66.391128 71.715209
[3619] 71.976288 70.162808 70.529235 68.566142 66.263010 69.779908
[3625] 78.303419 83.199665 89.711683 80.299398 73.051708 70.674932
[3631] 78.525646 78.030361 80.671215 70.732392 72.588938 71.890100
[3637] 72.139055 76.988402 75.842120 82.363960 81.820072 81.053229
[3643] 85.417581 94.381386 102.786538 101.678369 117.732351 124.582901
[3649] 120.483361 113.370969 112.618727 117.381855 105.165311 106.414565
[3655] 87.578602 87.548874 88.661217 89.931052 91.308223 88.527238
[3661] 88.029614 92.529520 87.478170 89.224279 86.441753 86.342712
[3667] 91.693906 86.814276 100.164791 108.146957 88.040991 87.476937
[3673] 88.796262 97.165781 100.817376 116.499202 122.499982 102.141859
[3679] 105.422656 106.839989 111.763404 112.335495 103.975454 112.782228
[3685] 105.211046 103.481457 97.705602 116.764074 107.870209 99.214225
[3691] 100.252122 101.363076 106.095754 105.543816 103.871448 114.667886
[3697] 110.437242 117.043395 113.378864 113.982218 117.117992 109.388747
[3703] 109.119004 113.447612 112.832271 107.574618 108.277727 109.640696
[3709] 113.231787 111.878484 107.709740 104.776567 100.233853 101.305515
[3715] 111.333896 107.569335 110.119752 102.751433 99.600779 95.046118
[3721] 92.250970 93.183038 87.623252 97.218365 89.201267 84.664771
[3727] 83.303631 81.851303 86.343414 69.932257 87.101896 88.224870
[3733] 87.243005 88.336313 90.741401 94.266751 103.474943 121.940782
[3739] 113.926734 119.462804 125.371056 107.089409 109.572686 104.072517
[3745] 104.542074 104.504388 103.701949 103.254667 102.473904 117.995732
[3751] 92.422984 87.873755 90.144285 89.930540 85.472263 84.740298
[3757] 74.649472 85.836760 85.504352 73.417278 70.255189 67.255265
[3763] 65.143830 68.790304 71.719037 71.238786 73.646840 71.608464
[3769] 61.063902 45.896815 54.158921 53.426306 63.857068 59.142543
[3775] 58.043717 56.055695 56.550841 61.190240 75.700640 71.457546
[3781] 70.584867 66.447408 53.690764 48.469598 82.826812 83.087116
[3787] 82.178130 79.714645 92.112669 93.286074 88.573091 96.803276
[3793] 92.402637 93.353114 92.295035 100.526892 97.624403 96.443000
[3799] 96.425946 91.047396 99.282755 100.252302 96.300738 93.777218
[3805] 94.225264 97.912051 101.994197 97.100654 103.136968 116.201672
[3811] 95.423243 91.771937 92.932247 93.676817 93.222501 91.505851
[3817] 90.467848 90.312584 92.511872 95.455926 98.176699 95.346910
[3823] 104.488543 102.049906 94.135623 94.490564 97.542936 95.485122
[3829] 100.126583 98.730956 97.474228 94.831276 96.476176 97.152564
[3835] 96.888467 96.051346 96.751045 94.140123 77.070233 87.177127
[3841] 95.527467 92.744269 92.804923 97.625420 93.068029 92.192383
[3847] 80.916419 88.710143 70.725615 80.452449 83.358313 81.154869
[3853] 75.753930 68.015115 72.998297 72.380578 71.394003 69.403943
[3859] 70.666806 82.233421 87.327658 90.846737 88.957755 99.991359
[3865] 90.242378 103.089661 97.010535 96.680471 98.550333 99.012727
[3871] 91.708008 92.268303 103.973985 101.841666 112.453191 107.257239
[3877] 104.439723 95.609985 99.715329 95.391670 101.506315 106.998718
[3883] 101.495397 102.588894 99.787109 93.309500 80.432242 91.901210
[3889] 80.711463 73.521719 70.300918 74.950386 76.934990 74.950393
[3895] 75.807293 68.858720 52.900193 62.497057 65.658445 61.319187
[3901] 61.808571 59.856285 54.573319 55.490997 61.855542 66.672233
[3907] 63.920044 58.739344 68.721434 62.389478 77.092754 81.988187
[3913] 81.744937 74.406818 75.968096 67.613445 49.689966 57.635255
[3919] 59.469319 50.181928 45.476793 52.795145 55.958710 47.420677
[3925] 52.253953 51.373374 50.548818 52.723431 58.667567 69.960291
[3931] 65.877817 79.311588 72.331813 70.402540 71.531018 63.865789
[3937] 54.339897 65.614980 54.896751 69.095550 77.971026 73.775859
[3943] 65.734085 58.129436 72.010396 72.535954 71.656529 71.261861
[3949] 78.170819 65.322489 59.053300 59.530577 67.718476 69.524071
[3955] 66.423605 47.775613 60.465427 61.860375 51.175086 55.624823
[3961] 52.613828 51.514763 53.279316 56.020839 54.861385 53.146461
[3967] 53.951822 68.129947 59.635444 59.613470 55.794011 54.616213
[3973] 54.481657 58.500451 60.813705 54.537685 51.691848 51.773484
[3979] 48.942840 43.374463 59.054940 57.613535 62.817503 63.520109
[3985] 61.858032 60.134766 48.465310 54.867197 71.264838 77.271549
[3991] 74.106217 67.239314 72.936091 52.757657 56.576525 72.933077
[3997] 76.667386 74.654336 79.362087 72.000706 44.239842 56.831324
[4003] 73.245158 77.418447 70.825874 67.161747 77.322500 63.221548
[4009] 73.184177 76.977634 85.547629 90.472005 69.584984 68.026795
[4015] 47.766776 69.374910 67.642694 74.045630 63.767149 67.589656
[4021] 70.483576 62.939377 67.703121 76.792013 71.426635 77.496861
[4027] 60.237912 56.681155 45.064791 74.132374 85.123376 87.317145
[4033] 83.817619 80.010071 79.959335 47.852278 53.726229 64.821026
[4039] 87.963195 76.163809 81.748813 75.616857 76.326547 79.596684
[4045] 80.633452 74.330118 73.648447 73.866766 65.894259 69.304009
[4051] 69.387998 79.249517 65.139795 77.151762 84.474771 81.536407
[4057] 72.777013 76.232784 84.526899 86.464242 92.788029 91.405134
[4063] 92.472813 89.837262 114.423581 109.759430 113.021749 102.810651
[4069] 112.448713 120.302984 113.812628 114.911772 118.508481 102.477879
[4075] 101.446965 108.514318 110.243504 110.971643 128.688130 123.693131
[4081] 110.937112 115.998802 116.181729 116.194406 110.829934 136.361045
[4087] 150.869764 149.379295 147.718180 153.368663 162.294474 170.650174
[4093] 170.008827 173.678343 183.683086 187.299284 186.550947 195.880429
[4099] 194.407078 191.300720 189.804631 189.792754 191.825272 187.840620
[4105] 135.888554 146.969360 144.997303 133.599211 162.403533 136.198658
[4111] 133.986934 121.949242 100.396154 113.662554 114.421563 115.081614
[4117] 116.159806 123.384938 110.054405 105.370200 104.078746 92.839726
[4123] 100.821412 91.751756 94.166842 100.473269 100.570557 101.277147
[4129] 115.064564 114.023388 111.199100 106.061074 104.914571 101.393403
[4135] 112.977583 114.305480 95.562860 83.077322 70.382094 67.201892
[4141] 63.168850 73.206024 76.479517 75.180159 76.727066 85.178729
[4147] 83.241937 76.983453 89.252814 95.381579 86.508902 90.658847
[4153] 92.450348 88.037394 83.890250 88.665170 90.481795 88.669482
[4159] 67.498298 61.984780 74.776861 58.401940 67.157533 72.809717
[4165] 74.214403 69.796684 65.725591 68.493065 65.510008 76.971721
[4171] 74.854001 75.185522 74.211436 73.678990 72.449281 71.791279
[4177] 64.767792 70.909755 70.244950 66.858764 67.802846 66.134795
[4183] 65.546370 64.485326 67.401423 73.130190 77.710159 81.620104
[4189] 88.210625 95.483377 96.750624 97.039156 100.886866 106.851744
[4195] 108.898332 109.694355 108.825616 104.402601 106.922781 105.863479
[4201] 103.134837 103.298832 104.039405 104.938322 94.036572 108.626115
[4207] 107.809869 105.825819 124.761304 114.198068 112.167183 115.218955
[4213] 112.309953 105.303470 113.924233 118.041325 114.907793 115.891870
[4219] 119.545471 116.570069 119.665836 125.529800 121.506752 122.602017
[4225] 121.610047 119.020078 120.712902 122.032011 118.506669 124.362383
[4231] 116.288080 121.733141 123.996331 117.995109 123.917888 118.956732
[4237] 123.759443 125.394907 119.571673 121.038525 119.838624 118.541609
[4243] 117.877499 110.610084 122.111508 117.476688 109.574249 119.253586
[4249] 117.414567 119.230693 109.286546 113.039502 115.785467 118.122412
[4255] 97.766950 117.342120 113.086993 116.149063 116.610865 113.140712
[4261] 114.352059 115.951102 106.803945 117.404927 111.172220 114.844006
[4267] 111.704568 104.805862 94.927128 95.029106 107.069478 107.593868
[4273] 103.904916 105.750073 108.414139 109.099308 107.714090 103.605602
[4279] 96.569487 100.175298 95.997948 98.537773 102.102107 102.118372
[4285] 102.326197 102.001322 101.880406 103.488924 109.893191 104.464854
[4291] 102.555550 101.325063 102.582959 101.150599 99.369636 91.439954
[4297] 101.111735 100.526121 88.372284 95.546060 97.347680 94.276747
[4303] 96.782213 92.516385 92.847723 78.029697 89.808872 87.679980
[4309] 86.169051 85.133391 86.255779 89.307870 78.780864 80.421048
[4315] 83.082836 73.297967 78.438714 78.913390 82.791280 90.381155
[4321] 87.327539 86.539342 80.533098 80.573012 82.466533 66.018576
[4327] 88.197388 85.824977 81.397216 71.795455 78.232002 65.920438
[4333] 69.237530 78.567407 76.962786 65.189286 73.850481 73.762389
[4339] 78.731917 76.279747 70.886163 74.434330 70.876355 66.908760
[4345] 72.402452 70.510294 74.647974 83.672431 94.417830 94.800870
[4351] 99.087278 91.108935 85.250935 74.837133 92.716639 96.751721
[4357] 100.810990 96.688651 97.075055 96.873270 93.304321 85.220486
[4363] 82.152271 69.539799 71.787038 83.066880 90.566322 87.691539
[4369] 88.882482 76.803434 81.784064 71.646192 72.290787 71.951264
[4375] 77.107927 70.723495 76.146389 80.617830 82.287391 84.666190
[4381] 90.069397 92.615271 88.759933 90.531825 94.574354 96.540651
[4387] 98.433315 99.126700 98.387184 97.980733 98.199698 100.255724
[4393] 99.801722 96.601086 97.217767 104.907810 106.888129 112.081748
[4399] 118.354031 118.676162 117.589340 122.061490 115.112026 105.829984
[4405] 105.016278 109.320294 96.819991 100.922807 88.079235 89.970730
[4411] 86.910388 73.716174 83.565669 81.710652 72.375593 77.266818
[4417] 84.707704 85.782405 80.003925 79.917505 72.366611 78.283052
[4423] 80.534321 80.167102 70.732167 73.710620 73.809286 66.714746
[4429] 82.937099 75.185164 81.142560 85.394138 99.469219 89.392566
[4435] 84.964396 83.239073 78.063029 87.580194 83.141771 79.813394
[4441] 65.466838 76.629178 69.635215 80.645067 83.317353 88.166001
[4447] 73.089869 75.490053 77.490635 76.178128 80.170302 87.184080
[4453] 88.908167 82.093774 85.297094 76.036401 88.998100 97.861354
[4459] 99.023741 104.706396 115.105271 118.487254 96.622802 119.430232
[4465] 110.086969 105.727068 96.680288 96.424384 96.337934 91.531341
[4471] 91.823287 91.631789 79.759413 88.442241 84.568802 81.741870
[4477] 80.746678 77.832553 72.947310 72.144984 72.688539 74.770573
[4483] 71.965271 66.407139 65.496091 55.717088 49.184286 58.350455
[4489] 56.630339 52.348743 54.619003 54.506127 71.615352 71.195841
[4495] 70.355167 73.006540 53.502633 45.181082 47.545806 66.692281
[4501] 64.502376 66.348379 72.652309 70.239236 62.408246 68.687600
[4507] 67.549489 73.943813 67.383122 68.162912 67.492966 62.847288
[4513] 78.699634 91.965245 97.178273 93.229585 88.904832 84.709267
[4519] 79.450355 87.067125 86.794702 90.975845 96.391734 93.153625
[4525] 93.394766 94.732281 100.484323 102.138145 100.622724 99.582946
[4531] 100.025811 99.850189 103.078164 105.963815 109.815629 106.637948
[4537] 90.137996 93.063243 97.150173 91.649582 95.618959 85.417864
[4543] 82.366227 73.558081 78.942929 78.069834 73.901721 72.826072
[4549] 73.354691 80.601190 84.310044 96.059156 100.200291 103.792424
[4555] 104.282044 105.316907 106.695998 107.874824 97.084276 103.188577
[4561] 103.844582 102.703373 94.582147 105.645449 106.719645 105.152820
[4567] 104.721790 107.321233 111.925357 111.454993 105.730996 111.944804
[4573] 110.788410 110.302145 104.277492 109.164279 93.689392 105.251940
[4579] 98.166948 102.310460 94.323249 93.538632 97.431571 106.030827
[4585] 109.779026 114.899508 122.713090 125.345123 127.373062 131.947724
[4591] 130.883713 123.131014 120.692397 120.178193 116.479193 113.369690
[4597] 107.548221 98.837570 82.835423 95.815282 81.738457 95.597734
[4603] 88.450391 95.331925 102.216271 94.907957 96.757066 97.640975
[4609] 104.140048 96.457374 96.765728 107.825219 100.500025 98.570304
[4615] 97.387219 101.861152 80.892443 96.965702 97.069953 81.853809
[4621] 79.891079 89.550759 85.879797 70.046985 98.969533 89.405452
[4627] 89.890370 88.144834 84.367696 94.448420 62.815073 98.485208
[4633] 102.620482 102.777497 102.863333 108.137533 100.065363 97.742641
[4639] 95.441426 96.866550 95.977249 92.516544 92.310907 99.358927
[4645] 97.307865 99.156139 100.405926 99.494671 97.804405 100.225864
[4651] 103.581201 87.991452 106.088897 100.736080 104.667374 116.081584
[4657] 120.888218 121.552180 84.013558 119.182302 124.097699 128.902857
[4663] 117.313798 127.595633 137.379164 143.828593 85.038903 88.733237
[4669] 114.395562 99.529317 116.129129 119.995994 100.357711 94.722803
[4675] 121.491485 108.287892 99.676133 108.422679 116.989458 96.835234
[4681] 99.525927 101.418401 115.397625 118.773426 115.027927 114.712008
[4687] 103.754740 117.252676 115.970474 105.303028 101.504503 109.528208
[4693] 90.645458 96.139674 41.853864 87.905151 67.434100 66.238493
[4699] 66.682022 62.749725 77.960873 80.967881 97.420373 99.852680
[4705] 84.695155 86.128043 88.567090 91.646737 81.870711 80.913549
[4711] 83.640594 76.023714 79.569981 76.567045 70.339782 77.147871
[4717] 86.154103 87.347071 78.105143 74.140429 61.902804 56.815638
[4723] 97.688053 76.982892 89.537260 59.191548 70.699360 44.142374
[4729] 46.775292 63.953198 68.319013 68.135863 64.226740 56.858279
[4735] 44.453133 38.411083 58.975577 61.936163 49.056050 52.859809
[4741] 57.958529 59.990191 48.783001 52.750849 51.967871 61.719259
[4747] 72.067797 57.239613 48.213271 45.888087 63.944851 63.492866
[4753] 81.550134 95.803982 94.266600 65.940994 49.538903 90.578102
[4759] 82.619916 79.319698 80.125747 74.093181 53.648676 46.239577
[4765] 86.360238 90.355505 94.840371 67.305980 100.700198 76.781224
[4771] 56.477769 88.896942 92.191078 89.184971 82.379910 76.536334
[4777] 72.459979 54.115935 57.455510 70.430945 77.822622 93.575486
[4783] 79.321681 68.375152 57.993383 65.260547 70.370593 73.855650
[4789] 81.586226 76.505254 60.737801 52.096981 65.854227 63.985679
[4795] 58.045873 50.524118 48.763610 53.784328 61.675141 77.951244
[4801] 81.265407 85.828736 86.123951 88.203581 83.822239 76.950294
[4807] 95.195173 85.910254 84.121164 82.943157 87.885959 84.658974
[4813] 82.223585 74.839001 95.250635 95.857811 104.379859 111.858160
[4819] 93.158133 85.038687 107.824738 91.315263 98.532553 102.403714
[4825] 89.758448 83.064499 69.721304 81.965960 100.989308 91.211065
[4831] 91.314072 71.372146 66.384960 63.197950 58.506493 63.323771
[4837] 75.916636 74.815153 62.250515 71.333947 55.741749 79.596899
[4843] 96.679944 98.912305 102.796626 105.486825 96.592324 77.735992
[4849] 95.503970 93.374182 90.889157 102.674661 79.580666 86.565998
[4855] 75.231970 72.909130 81.223439 78.068640 76.888272 81.871769
[4861] 93.405983 90.214794 126.199366 123.524374 121.883282 126.381369
[4867] 124.206207 104.337177 95.113068 99.218489 114.874949 90.831099
[4873] 109.995685 91.556907 73.833377 54.733477 82.719930 78.711331
[4879] 64.541580 66.338378 59.782804 47.020581 39.755843 56.895320
[4885] 80.340590 106.081932 99.032262 109.581361 53.766028 49.607228
[4891] 47.417705 76.916578 72.579238 72.483718 79.247457 94.520949
[4897] 72.721675 95.571519 106.527162 104.762711 100.114352 100.022343
[4903] 105.135459 107.352930 140.108671 149.139879 150.891315 109.439756
[4909] 144.692323 157.908229 168.359016 174.273956 182.825391 174.467700
[4915] 161.894076 135.724779 132.016623 144.718409 130.407509 139.614447
[4921] 135.955085 133.209221 132.555918 132.470481 132.318510 132.725718
[4927] 128.792686 133.949565 148.864860 144.370993 133.429265 133.111150
[4933] 132.421791 120.486851 115.457580 119.640282 129.463713 127.734430
[4939] 114.764255 129.991656 134.347390 125.051288 134.640711 134.731599
[4945] 131.438612 120.173060 127.058170 123.110511 123.313931 125.367222
[4951] 127.026601 125.027162 132.190897 145.652887 135.231047 132.983384
[4957] 131.639369 130.338232 127.113923 122.870564 120.484249 126.382851
[4963] 110.326788 107.788954 109.782593 101.150772 104.157891 102.133464
[4969] 99.568554 127.586823 117.273630 116.923032 116.084439 118.135822
[4975] 136.382549 121.169336 118.841671 103.166392 108.951066 117.545319
[4981] 97.123339 101.712568 100.869912 108.606013 125.636689 124.561260
[4987] 128.065980 114.420285 117.430893 129.063242 136.419029 109.886918
[4993] 107.944846 107.258968 96.383477 93.994358 81.462663 95.477416
[4999] 90.267483 91.009170 83.368486 68.097982 81.564291 83.266358
[5005] 89.831894 92.171592 86.212654 77.991919 75.434505 80.194660
[5011] 88.441808 87.825111 74.503807 71.923820 73.688423 72.597522
[5017] 76.700354 79.819493 76.805168 85.279990 76.855493 72.637601
[5023] 74.628620 82.039954 92.106154 95.056282 91.191460 96.807610
[5029] 99.650924 105.550327 111.329335 117.221932 102.442115 106.009635
[5035] 94.789142 87.353543 87.536601 108.184768 112.254137 108.440352
[5041] 108.822907 97.679122 91.629408 98.290196 105.663160 96.358541
[5047] 99.491228 95.823565 108.290538 106.965311 108.757505 126.683263
[5053] 139.670340 128.760472 133.772314 138.781875 135.656548 125.825677
[5059] 127.344289 126.043487 133.437296 137.588997 146.885477 135.389499
[5065] 127.016047 141.816901 144.774239 154.245278 162.573159 162.047899
[5071] 122.699271 115.010084 120.886794 120.545677 121.401517 125.657972
[5077] 118.330310 101.290464 100.798896 95.150331 98.012595 99.983282
[5083] 103.082549 106.890569 112.236042 121.775082 124.243343 134.699845
[5089] 131.360548 136.050372 132.018284 127.597669 121.819039 112.052475
[5095] 115.626327 125.052186 124.823696 122.059912 114.071519 106.712405
[5101] 118.089950 120.393936 116.541729 111.567074 82.988130 108.043041
[5107] 109.109490 119.020481 117.400080 121.764523 119.552507 124.323569
[5113] 119.514886 129.261111 128.718895 155.587404 131.091082 122.598923
[5119] 122.036238 122.340991 123.491196 143.832265 150.969843 134.390784
[5125] 133.306665 128.780330 131.389905 123.158727 126.139808 143.316422
[5131] 142.625612 128.312170 135.069984 132.703260 119.714821 114.702488
[5137] 122.884033 129.826329 121.800852 120.828390 116.545552 117.131343
[5143] 112.221160 115.748478 112.816398 115.082789 130.454577 116.143952
[5149] 117.871011 125.297092 148.720942 121.418723 119.552795 121.228530
[5155] 137.717573 126.949758 125.847523 122.528898 136.937409 122.755390
[5161] 120.109853 117.933111 124.297846 147.413946 131.401789 171.714020
[5167] 172.352344 175.396760 160.141215 189.397901 190.764321 184.802797
[5173] 186.074294 186.244209 200.649810 179.119462 178.677248 192.349859
[5179] 175.045369 206.112593 199.666146 203.107745 207.216657 221.893068
[5185] 236.439133 255.125587 257.351909 258.139763 250.127875 245.842043
[5191] 239.641289 242.926421 235.866725 231.671860 240.376554 235.447102
[5197] 197.285642 195.094869 191.198921 174.315070 171.213652 158.326349
[5203] 155.775666 158.834874 156.051806 142.103121 142.259644 152.149963
[5209] 130.232337 139.858781 146.453150 132.078872 149.195912 145.469128
[5215] 163.121088 155.603167 154.977099 138.204488 124.347706 141.218376
[5221] 136.949613 137.660325 138.746903 126.874142 138.344280 132.759835
[5227] 133.606185 141.826024 132.064738 139.361864 137.990009 140.941963
[5233] 141.190504 135.342853 148.130865 143.885098 139.781195 152.510358
[5239] 162.035018 161.687249 160.467580 157.308393 183.424753 184.843614
[5245] 198.373295 163.259077 169.492929 184.661757 190.223351 171.512950
[5251] 161.815126 177.158243 197.857449 202.165487 204.034603 201.260743
[5257] 230.357053 212.401486 238.152914 241.539517 219.132401 252.825063
[5263] 210.859673 261.141601 254.055972 217.145885 253.511530 201.970374
[5269] 246.918838 161.272804 186.963245 120.366024 144.470867 138.457471
[5275] 122.878195 116.411041 132.561109 126.695042 135.331717 118.132898
[5281] 116.140657 118.726166 121.445720 118.189939 123.308951 128.079791
[5287] 149.827700 148.405824 194.556882 195.491905 169.627446 173.413180
[5293] 185.179388 164.295788 164.985424 161.753676 170.080421 155.906486
[5299] 164.228866 144.846622 141.952015 152.494191 150.143895 156.506350
[5305] 149.352835 143.250199 139.136473 128.253929 142.638750 121.297456
[5311] 127.155079 129.840366 124.052399 125.892501 126.752583 155.192186
[5317] 128.303744 150.845405 167.720720 139.588815 135.518971 156.490859
[5323] 170.027042 168.345606 225.085548 224.271260 237.186415 192.989593
[5329] 178.840803 214.607157 237.640311 238.519495 223.079688 219.144853
[5335] 232.108261 223.528393 219.384646 192.079008 197.570244 180.557438
[5341] 203.441389 209.232973 188.558817 185.618683 175.891630 213.737946
[5347] 197.638708 183.988560 185.809602 179.151818 175.230266 164.166221
[5353] 159.020228 175.418851 183.555476 189.931574 200.650660 185.234091
[5359] 154.844409 161.984246 161.042925 155.892130 151.018895 157.810537
[5365] 156.405527 174.680830 180.175613 216.944714 222.397443 236.234342
[5371] 217.650641 219.614658 209.879590 188.555255 151.762181 150.222146
[5377] 147.181964 148.551311 149.617703 187.921855 237.183647 239.044991
[5383] 231.106542 241.582320 242.496723 242.702740 223.072535 153.651267
[5389] 148.198768 149.930907 141.279583 147.869063 163.945501 169.854985
[5395] 165.193391 159.461804 166.044695 171.680897 157.688700 153.097308
[5401] 148.851146 148.849224 144.266999 146.471737 144.269107 168.294453
[5407] 147.576348 140.655602 146.173076 144.599312 139.892632 144.946972
[5413] 139.645501 141.181762 141.130148 140.797317 152.571858 165.363483
[5419] 141.168972 143.578526 156.432069 142.068575 148.616522 132.698223
[5425] 133.283528 138.190156 138.096211 128.919756 132.041146 133.035752
[5431] 127.476211 124.568383 117.544767 75.444845 66.485286 70.897243
[5437] 69.786753 83.246309 85.112563 92.785495 86.045889 74.579634
[5443] 66.886564 68.314130 81.383448 74.600204 77.888907 69.093221
[5449] 69.468664 69.652514 98.576603 102.258893 103.753038 90.963624
[5455] 98.579670 98.561701 85.584950 83.294614 103.251520 107.406272
[5461] 93.541835 82.423310 82.402650 81.662768 84.498151 90.736092
[5467] 94.054323 84.750268 77.582812 85.788826 84.385819 75.728571
[5473] 88.264007 86.329748 79.469875 81.908684 76.264995 73.370869
[5479] 72.025183 66.734754 71.889963 69.362648 70.662861 68.046819
[5485] 71.788753 78.387326 81.535179 79.478518 80.692513 73.717791
[5491] 73.708307 69.876404 65.257192 75.367756 67.372477 59.635733
[5497] 63.319991 64.443441 61.049163 63.807679 68.935058 75.116599
[5503] 86.439994 78.140174 80.638465 72.986666 72.790414 70.590822
[5509] 81.967269 92.190808 85.461259 84.137932 80.807012 92.635847
[5515] 92.956646 100.692455 99.410334 98.631690 97.790264 89.760243
[5521] 107.051528 117.669763 122.348191 113.883968 97.815367 94.961893
[5527] 93.938992 109.030334 96.105278 93.229473 100.784915 89.424477
[5533] 87.908745 87.921367 88.924007 90.110572 100.219915 99.928870
[5539] 103.784665 102.329311 91.851183 112.400418 104.996234 120.944388
[5545] 129.202347 136.605066 117.792093 106.713691 119.112524 133.580791
[5551] 141.097962 137.643824 120.957181 114.245801 109.888186 134.967880
[5557] 125.744758 151.137283 155.079545 137.682708 123.870064 115.303101
[5563] 149.128997 137.593133 134.782436 125.102776 144.170121 139.435381
[5569] 129.264156 130.089541 148.194053 136.070675 125.469448 124.453194
[5575] 123.755519 120.786641 138.381120 136.015802 134.254631 124.953821
[5581] 126.338519 122.891671 114.903772 117.540347 115.184614 112.142329
[5587] 110.986628 108.908683 109.267429 108.170094 110.942830 111.983847
[5593] 107.439070 106.247394 108.527620 93.302881 85.908072 82.367383
[5599] 74.258136 69.849507 70.448850 63.556523 62.620743 48.079084
[5605] 67.486202 74.484638 89.519146 87.670747 87.807403 73.467364
[5611] 43.435804 68.706726 73.441269 71.520259 67.683978 57.202393
[5617] 49.420098 41.202764 46.912814 48.058655 43.368928 47.835555
[5623] 43.155659 65.601935 38.247798 57.443908 75.002987 76.984306
[5629] 84.237281 75.046827 67.214023 46.906737 67.922389 74.659398
[5635] 72.901328 73.654078 62.921607 61.693387 63.279063 76.593881
[5641] 86.217116 85.366462 75.417540 67.421466 63.688921 57.105666
[5647] 78.647414 80.125571 75.146661 82.772218 68.511742 76.345296
[5653] 63.298076 62.683155 68.440328 63.328237 58.061273 61.179628
[5659] 56.401472 74.808614 84.911340 95.141289 96.662414 93.912110
[5665] 88.919506 89.555770 94.381117 115.792353 118.340633 120.775911
[5671] 115.238027 115.547626 103.070606 100.139244 99.898797 116.591758
[5677] 113.280238 122.511866 121.087132 108.006136 107.144661 106.415980
[5683] 104.923566 102.994990 101.381553 99.622670 101.123838 99.656105
[5689] 98.837008 97.376109 87.892530 85.773001 96.721526 85.898565
[5695] 86.939438 90.885003 92.766275 89.607474 93.028781 97.275853
[5701] 89.166837 91.511442 90.796376 83.380385 82.624467 86.365710
[5707] 79.617360 75.745291 75.883480 83.648121 83.391576 79.712044
[5713] 77.857811 74.375656 72.800480 76.592162 81.322131 81.180213
[5719] 82.014504 79.822926 73.542842 71.263201 72.906312 78.703784
[5725] 92.108462 74.374319 65.448605 61.774245 53.850337 43.183651
[5731] 64.730518 62.880919 65.573782 74.460137 79.493913 78.620107
[5737] 74.647754 84.781396 87.854436 104.379099 106.362108 104.175647
[5743] 104.129382 97.215724 97.959875 90.969545 76.639811 67.502339
[5749] 60.272349 39.034921 34.988917 52.010736 57.489681 50.581395
[5755] 37.876588 33.697179 32.986592 36.046398 58.866274 60.504251
[5761] 63.323696 61.098725 61.266042 60.849565 46.014942 55.483778
[5767] 46.524620 60.757221 60.321492 59.986146 55.045461 37.819901
[5773] 55.928897 65.984255 68.671893 69.405745 65.746543 62.352740
[5779] 42.240506 59.567904 58.413802 54.714776 57.602979 57.402455
[5785] 54.057252 43.626326 55.347976 54.411644 49.812810 54.377450
[5791] 55.959590 40.225823 36.092362 60.239670 44.672447 52.200701
[5797] 55.127310 47.414950 36.401458 35.093159 46.429864 61.520912
[5803] 66.404010 66.939597 61.264616 58.257756 56.146079 73.042279
[5809] 69.477245 66.820598 70.684284 69.038192 58.253703 38.159882
[5815] 56.365934 59.815703 67.243859 63.102774 57.474868 50.969604
[5821] 40.748468 37.963508 59.292533 52.307311 39.188734 38.699222
[5827] 37.975767 35.773985 40.073402 39.861738 43.686574 43.954313
[5833] 47.382690 40.744693 48.323385 47.319192 67.351946 65.988951
[5839] 65.481096 67.653671 57.827408 53.021482 60.404753 57.545476
[5845] 47.849364 59.823964 61.782522 65.738285 44.161027 51.848993
[5851] 54.058978 60.718864 56.891434 52.189447 44.803297 35.397637
[5857] 59.310926 72.725015 70.753258 67.282658 66.682782 75.789661
[5863] 81.780043 108.020915 102.686635 100.780682 94.156863 107.002483
[5869] 106.009785 85.514992 88.945527 106.597065 92.115523 80.463090
[5875] 60.925105 78.048022 60.138422 73.645497 79.512048 74.528803
[5881] 80.352136 75.743027 75.078743 68.845691 85.167712 91.605346
[5887] 83.957631 109.128836 89.411780 77.879506 74.352390 92.638744
[5893] 89.670876 95.851290 104.543682 86.523163 82.765672 80.531983
[5899] 78.706757 98.181570 84.585889 90.439561 86.332087 83.829270
[5905] 80.370957 85.298528 91.862960 91.184796 87.445785 88.088589
[5911] 87.904621 72.047123 85.776441 75.735557 75.768098 75.733966
[5917] 63.660710 54.134592 52.140895 81.193237 85.515509 94.879901
[5923] 107.852571 99.421846 94.658903 70.583223 79.322755 99.496219
[5929] 72.420944 64.103603 66.370964 57.725066 41.318843 48.458271
[5935] 54.804531 51.079166 57.895324 56.478804 59.307946 49.876967
[5941] 67.339352 76.317279 71.366863 75.893432 71.575915 51.021540
[5947] 34.831513 36.213384 58.351969 58.846813 72.868202 79.545371
[5953] 61.144932 59.901717 57.808901 71.686316 68.181904 69.117206
[5959] 80.083355 67.199344 54.675333 52.019944 70.812598 76.643856
[5965] 70.893467 73.261499 60.500226 47.623221 73.137464 63.504379
[5971] 64.091743 70.146102 49.789300 61.362209 46.056808 68.413070
[5977] 72.206952 68.772566 61.885691 66.906682 46.533647 41.959768
[5983] 52.683714 51.772203 52.503896 41.177348 43.216492 41.643253
[5989] 39.898063 46.997240 58.454991 57.982800 58.948136 61.721748
[5995] 45.912786 42.085406 43.969118 49.248834 46.395398 55.845328
[6001] 52.476674 42.085585 37.768016 53.519555 63.286058 61.550645
[6007] 63.230908 56.433099 48.971205 38.644230 49.806370 53.661773
[6013] 52.213305 53.154880 46.280803 47.141717 42.505654 46.397747
[6019] 52.401867 51.579675 50.855276 46.028260 46.968543 40.799634
[6025] 47.911660 61.657172 83.355908 79.087456 37.974529 41.173365
[6031] 45.619201 47.554773 46.887539 55.333043 54.053696 46.409547
[6037] 37.442945 37.051260 39.981849 37.373659 38.925927 39.663760
[6043] 42.097347 42.807444 47.155359 45.033854 40.678474 41.510037
[6049] 41.280482 40.316019 45.480681 52.157294 64.025128 70.210855
[6055] 71.864055 73.129430 73.427153 74.134243 73.022997 73.762288
[6061] 99.428282 111.617382 101.734705 94.633744 104.859849 92.873992
[6067] 120.098664 125.583824 121.223078 121.823510 117.512416 113.071312
[6073] 116.197138 130.189741 128.037993 128.775846 126.038971 126.152389
[6079] 122.830435 120.652549 125.394725 122.681459 120.931198 125.744368
[6085] 124.664847 119.725826 117.230116 115.891516 113.105641 110.687074
[6091] 100.708910 94.192792 87.196960 86.236260 77.186356 74.377085
[6097] 65.997307 62.600291 77.263987 62.879058 54.000569 65.354572
[6103] 62.395929 56.680713 38.951481 36.209501 46.095266 35.516814
[6109] 47.085848 43.460715 37.882894 46.613881 51.126322 43.354885
[6115] 41.715555 54.861184 53.481036 55.744255 64.171691 56.113963
[6121] 60.943782 54.648838 76.846162 82.822209 62.363783 48.128661
[6127] 44.930825 39.020730 36.821447 45.377446 35.243547 42.569003
[6133] 42.194593 50.941232 41.132990 43.398547 41.197487 43.110950
[6139] 44.155952 46.256124 42.577124 35.567796 34.578724 40.524099
[6145] 46.337953 49.183381 43.111552 43.328541 36.098963 35.118786
[6151] 35.826895 42.540710 44.916392 57.550311 48.587350 36.188958
[6157] 34.700779 42.098540 44.561452 43.257200 40.897181 35.980027
[6163] 35.511000 35.886062 40.957270 45.936165 96.228737 76.800908
[6169] 70.577520 90.470366 89.528512 96.552838 111.452389 115.149104
[6175] 113.700851 113.049473 102.978071 91.501045 78.487052 80.380017
[6181] 78.698775 78.753461 75.141779 68.683381 63.527101 70.767353
[6187] 66.591209 79.908237 88.524745 89.947678 73.131909 70.007705
[6193] 69.965220 73.797235 63.549840 69.668884 69.709936 59.648892
[6199] 49.866460 58.705366 64.816401 67.037813 63.060751 60.860618
[6205] 52.306194 49.542526 57.273991 59.490948 77.103587 78.936921
[6211] 66.145944 53.757632 41.395034 57.054947 59.180546 69.825931
[6217] 91.039621 114.059922 102.668239 103.956875 121.930715 108.642095
[6223] 132.945804 124.285597 115.071034 126.443364 107.679758 121.246766
[6229] 106.630672 118.387282 121.315736 131.425961 132.660061 128.663647
[6235] 155.062346 151.809961 139.178602 139.759229 126.648605 119.802699
[6241] 108.670619 107.706168 115.948252 113.827511 114.152165 116.867065
[6247] 115.631512 118.017607 138.456077 134.835103 132.311963 133.144485
[6253] 157.091278 126.352107 115.835043 119.694417 124.468275 126.925305
[6259] 146.319282 137.776641 141.008800 136.977657 140.468649 149.956650
[6265] 143.405237 146.912622 157.733570 142.222663 152.071309 173.425901
[6271] 192.742182 175.301183 175.716298 195.815284 171.954685 174.323721
[6277] 197.414831 200.703643 206.286642 193.939910 230.175654 217.412202
[6283] 219.100409 232.742422 236.994229 229.560120 221.424511 227.761265
[6289] 213.173287 201.319979 210.158159 172.317563 170.559463 188.485800
[6295] 179.830700 180.758538 183.592802 185.891424 193.677493 193.212824
[6301] 177.753437 172.108127 161.669140 166.465369 147.166969 143.163232
[6307] 145.513221 130.379176 130.614532 119.984004 123.375262 144.552508
[6313] 152.222248 155.996651 164.896067 163.574468 156.372778 173.900984
[6319] 155.732164 161.750080 154.644351 161.700793 156.282436 155.196792
[6325] 150.468449 154.890861 163.929040 166.951952 162.512252 154.246526
[6331] 145.264940 130.862558 129.814729 124.558095 120.890081 125.837712
[6337] 130.230456 129.881293 117.557605 144.003810 136.192192 156.701456
[6343] 162.290335 171.124831 149.409800 139.366181 144.994679 160.920978
[6349] 165.165311 152.715991 161.143459 153.225564 159.603995 162.687244
[6355] 158.175244 158.131722 171.604333 175.007261 178.351912 180.032067
[6361] 181.785682 188.053434 183.722762 179.550450 173.095240 171.389701
[6367] 163.578380 163.850982 149.836752 165.296307 148.500923 141.471553
[6373] 137.748379 142.262684 142.175457 143.023569 170.355449 163.548718
[6379] 167.748728 159.286867 155.742693 156.372673 156.396355 135.895243
[6385] 162.299022 166.484686 165.163796 168.413192 171.614079 173.471066
[6391] 172.015414 169.367497 170.716792 167.842010 170.673089 172.310018
[6397] 163.609957 163.806922 169.847595 178.548307 165.983639 161.524189
[6403] 169.257686 147.044711 164.634174 183.820870 182.664880 194.544684
[6409] 206.114830 214.604454 191.221553 186.155495 196.267616 176.901728
[6415] 176.229851 184.379479 174.230401 145.985362 165.535998 158.465278
[6421] 156.574152 148.757840 143.364238 149.333888 131.898419 147.879739
[6427] 142.053199 139.881495 140.468526 134.389910 130.844576 137.221773
[6433] 130.893865 127.840330 136.016414 134.757379 129.076288 139.237942
[6439] 185.881380 158.766139 156.316485 130.749887 155.089395 152.146697
[6445] 148.230818 135.530607 126.170294 132.553446 124.896681 108.232386
[6451] 114.014143 109.626910 111.642922 114.418925 85.319245 105.480983
[6457] 94.863775 72.425605 83.979924 102.385578 86.601016 88.283777
[6463] 94.385548 122.147261 142.806985 139.442125 153.344762 155.941739
[6469] 158.214007 160.761697 159.391922 182.369494 176.027618 195.327133
[6475] 198.576971 214.319020 243.832676 229.619413 264.839138 257.427996
[6481] 249.323279 239.985549 229.120333 225.758234 217.224435 206.384783
[6487] 169.272020 135.133062 127.152937 131.288759 144.267708 143.605917
[6493] 141.495115 141.534341 145.381141 134.704314 136.080250 145.198576
[6499] 146.815665 145.709341 141.742979 130.488753 140.704467 133.828412
[6505] 136.617708 153.022589 135.147343 140.885210 149.327857 160.003041
[6511] 147.890141 136.883855 133.346738 121.431773 123.030392 116.698390
[6517] 120.701806 95.593904 107.177618 103.107741 48.095329 99.300521
[6523] 88.296999 98.250513 76.703648 78.998609 71.049362 95.287105
[6529] 102.178132 135.412263 117.165887 115.424317 116.611828 109.396722
[6535] 114.353128 121.657329 116.105769 134.546159 139.982774 120.892308
[6541] 122.978484 118.737676 112.995323 119.913954 107.942316 121.828560
[6547] 129.274129 128.329788 135.369703 155.447808 174.665407 168.732284
[6553] 161.803449 160.202535 143.168626 107.556406 129.417652 151.082332
[6559] 158.623679 158.293476 169.520619 190.885411 218.699802 271.424019
[6565] 260.166857 255.383543 253.522083 255.367446 178.188849 176.167577
[6571] 198.342780 171.940475 169.606470 194.949075 174.317593 163.178267
[6577] 163.752243 197.324454 192.581862 214.461809 217.991569 209.005786
[6583] 246.885020 269.587406 213.141312 199.026157 192.418535 201.648525
[6589] 175.357368 165.933089 152.848911 145.074398 134.989670 135.568419
[6595] 165.803769 166.007591 166.620381 155.586823 143.581962 124.278597
[6601] 122.767312 118.422520 138.621661 143.467060 120.910484 119.208041
[6607] 121.653206 106.234820 108.413305 120.813016 115.723388 102.405933
[6613] 113.733620 93.635763 91.903236 82.058795 117.850682 129.671780
[6619] 122.203169 140.703230 129.095293 126.315778 121.900358 116.801554
[6625] 105.428252 91.311518 118.357474 125.927463 131.476300 126.796137
[6631] 137.982769 133.518209 121.568404 128.121091 136.573709 140.044375
[6637] 135.152801 119.112941 104.442228 103.473593 121.030343 146.407678
[6643] 142.686524 138.745573 133.335701 133.531827 131.975971 129.872191
[6649] 129.304788 130.444073 149.585298 136.977663 134.728768 107.606891
[6655] 150.919029 148.428076 154.713064 143.583923 143.499823 149.934743
[6661] 151.992266 158.294304 155.109428 170.687667 167.312371 163.683819
[6667] 162.235175 177.203954 176.210379 227.478887 231.388599 232.609097
[6673] 236.522439 242.481846 228.606038 256.253747 271.893213 271.355374
[6679] 264.579089 254.908389 247.582846 244.014802 251.142508 252.786081
[6685] 258.408317 201.666830 167.766100 148.615476 137.584940 156.738739
[6691] 168.831983 161.694187 148.777357 143.643019 136.370378 147.287554
[6697] 147.291070 154.463226 152.787750 157.303659 153.465030 146.586119
[6703] 149.035007 150.244826 151.613522 135.089616 154.513759 155.718261
[6709] 203.018552 161.855101 183.281345 151.336754 148.307041 134.346003
[6715] 140.446181 157.436991 152.628254 166.856093 160.309909 156.666589
[6721] 148.825255 135.887991 152.084936 157.084038 158.295747 164.481171
[6727] 169.671279 152.153480 144.840564 144.409598 146.451797 139.972574
[6733] 134.339182 91.178023 97.450623 90.408208 95.875564 133.024109
[6739] 145.312575 153.766537 130.211471 130.592973 144.876917 138.612529
[6745] 149.127487 163.592900 150.222838 144.139314 141.215809 140.835484
[6751] 122.021329 98.283752 137.240511 131.593097 131.239001 130.201788
[6757] 134.221843 139.938261 139.268385 145.859753 138.008076 139.159402
[6763] 142.180774 139.664283 136.145655 147.090668 145.669134 148.290889
[6769] 156.597252 153.337717 165.670759 156.820401 167.471619 167.966746
[6775] 169.872596 184.540243 182.328204 177.326002 175.923886 166.428147
[6781] 166.256792 185.504159 164.864742 161.983334 163.553661 176.142585
[6787] 173.622946 168.855772 165.103457 160.712545 166.044208 149.594165
[6793] 158.677964 146.626015 144.203446 145.808717 154.218568 145.603119
[6799] 136.258199 129.588437 125.605614 144.349389 141.682761 138.544934
[6805] 134.402356 126.005901 123.858641 116.943787 117.552027 140.366336
[6811] 132.210636 125.191008 123.378161 129.012148 111.088421 127.978116
[6817] 120.330207 122.379088 117.127993 138.046135 147.428334 155.189107
[6823] 143.489530 142.883767 153.493256 134.321774 136.052091 119.878484
[6829] 120.795818 123.623022 130.452641 158.597556 186.927865 246.879905
[6835] 208.547005 187.997401 275.096855 275.124718 288.723916 286.276001
[6841] 288.649055 278.883954 289.721293 296.550868 296.987497 299.281863
[6847] 294.874261 293.713436 291.500469 287.060143 292.174178 292.851051
[6853] 294.043245 291.054169 289.867727 287.226101 283.030603 287.982838
[6859] 288.664358 289.428553 287.181442 285.978760 282.923956 278.991548
[6865] 283.801755 284.506470 284.856059 283.086489 281.837725 278.782307
[6871] 274.845327 279.644606 280.336260 265.651103 246.616661 291.488566
[6877] 238.244463 221.538800 283.269265 279.138794 279.632602 278.054997
[6883] 276.909919 274.012596 270.099209 275.006200 275.999482 276.492854
[6889] 274.914764 273.772301 270.884113 266.850281 271.729576 272.892376
[6895] 273.391403 271.777090 270.663076 267.482515 263.409815 268.159595
[6901] 269.727351 271.347952 268.560261 267.483615 264.033953 259.959861
[6907] 281.033759 251.463308 287.304780 282.412209 280.391291 276.187616
[6913] 188.177872 192.922114 226.961853 261.066689 211.011667 107.084120
[6919] 107.404995 105.985751 106.983181 161.364461 129.825961 163.256351
[6925] 136.608236 125.303643 126.602626 168.966257 231.300448 151.490475
[6931] 133.424202 127.117262 133.600307 130.323240 122.066588 117.805306
[6937] 107.465395 105.799560 109.873508 136.696770 126.174396 133.195193
[6943] 149.886863 160.036985 150.043318 153.720584 142.925323 137.665172
[6949] 227.558600 275.451896 288.535218 286.359297 288.299862 291.321764
[6955] 158.050384 242.497390 245.157979 263.223228 220.096109 162.944778
[6961] 136.244666 127.074473 151.774178 144.276484 128.994373 135.203413
[6967] 155.855334 146.382523 125.279398 131.411970 166.436299 159.870562
[6973] 159.709652 147.592818 135.471231 136.911969 144.410207 147.021720
[6979] 225.947448 182.401705 151.859688 132.330749 130.028079 160.181022
[6985] 180.587313 236.159546 205.527807 185.197602 153.073070 148.495344
[6991] 155.556236 158.381466 166.364756 147.754265 141.549849 138.478890
[6997] 127.349662 142.790121 120.659378 131.086407 132.744479 122.309502
[7003] 118.235054 112.504700 117.341914 112.791837 121.078598 141.113055
[7009] 163.970176 170.934320 170.525315 165.312256 185.022264 192.154502
[7015] 210.187231 227.561824 261.899600 251.191895 281.535852 248.356195
[7021] 222.671559 159.899590 151.430928 135.791850 118.601006 155.889796
[7027] 155.009035 144.084826 170.546177 179.636593 171.307801 159.088677
[7033] 168.651848 155.133845 150.888047 151.932558 154.077339 149.120844
[7039] 148.158226 151.463706 148.572104 162.368069 170.659537 153.089660
[7045] 165.839794 142.503807 148.087439 149.838581 155.963546 153.367012
[7051] 154.119023 152.554145 147.568794 139.817950 152.134247 133.356058
[7057] 152.655797 130.830058 133.516054 105.579453 138.067432 139.513046
[7063] 146.813330 137.899992 142.580866 138.344507 138.846935 140.018830
[7069] 142.526106 132.074837 135.095240 131.731376 132.262913 132.166079
[7075] 147.365117 162.195787 165.974166 169.020226 186.945174 187.701183
[7081] 172.067138 177.367337 169.103016 176.881345 150.308014 153.263822
[7087] 160.310832 129.404928 150.745353 135.676018 144.386909 138.024199
[7093] 131.822806 93.768757 154.184162 165.139164 136.862321 136.539621
[7099] 120.920563 119.260096 125.759243 132.104033 141.037522 134.771412
[7105] 132.784776 151.212516 153.068740 169.176313 201.300299 176.022275
[7111] 180.155809 194.616357 193.096082 168.459478 172.492350 170.458105
[7117] 165.681141 164.103145 158.142345 144.744628 189.118942 172.762841
[7123] 151.379441 144.419882 143.818980 156.205123 144.499848 138.663278
[7129] 134.502737 127.630684 132.046037 144.611451 138.340244 130.397679
[7135] 157.651774 140.373383 140.056010 131.335601 152.284691 144.088785
[7141] 149.680139 150.433792 148.173814 137.597947 126.913492 139.638068
[7147] 138.861182 138.149380 132.307137 116.051200 106.692350 109.811977
[7153] 113.562923 128.716368 139.094818 137.547980 136.697798 145.687548
[7159] 152.450853 152.862873 166.839754 157.918833 158.374392 141.138486
[7165] 143.114341 153.468827 162.955410 174.137485 192.186453 181.363761
[7171] 171.261773 160.623395 179.159217 173.739565 173.609641 185.179282
[7177] 189.817672 185.899168 173.245324 201.126109 194.479693 182.502324
[7183] 183.084613 158.935275 146.438775 141.836311 130.738300 141.373424
[7189] 169.666901 165.812704 159.209185 174.453909 178.859694 180.102844
[7195] 175.007517 153.956174 143.349325 141.887916 156.470674 154.813344
[7201] 151.268841 150.393620 155.103578 155.344482 144.432606 141.264195
[7207] 137.961007 153.252042 162.623487 132.175511 125.811762 112.837279
[7213] 110.512517 113.422100 119.932316 117.385639 126.300031 131.068540
[7219] 134.712677 119.835978 127.997612 114.029676 120.311890 133.160853
[7225] 140.747948 134.329551 130.746236 128.111578 141.761712 140.626978
[7231] 147.386651 165.033388 160.853525 173.841202 180.095652 218.742363
[7237] 250.494662 265.769411 313.422170 292.360110 276.604042 257.501850
[7243] 319.562358 268.779270 189.315542 175.524916 178.808565 179.714691
[7249] 168.351975 202.465841 238.478932 250.290265 274.506818 235.685482
[7255] 196.637307 168.055413 160.030531 161.423966 178.419055 182.962839
[7261] 175.726225 163.776867 151.563542 148.327398 150.149672 154.920910
[7267] 162.975169 169.318719 152.628824 137.574988 143.241931 174.713470
[7273] 181.668635 176.961489 168.726966 157.548085 143.697809 148.933086
[7279] 145.889694 159.496047 161.449505 161.015348 148.926560 135.822477
[7285] 144.625611 143.902493 159.592639 148.045031 156.184190 158.500593
[7291] 162.201866 197.529644 196.743626 201.456590 190.742695 200.226813
[7297] 180.857361 167.755528 178.861193 183.918673 187.278762 199.441258
[7303] 193.481907 192.300582 152.882407 163.497277 154.371490 173.417766
[7309] 175.859230 181.922494 163.843131 155.076556 175.698256 166.371398
[7315] 182.309271 181.110546 181.031325 164.315332 154.240246 162.291616
[7321] 169.737687 194.216072 172.709550 172.099439 162.370407 156.618319
[7327] 165.342435 172.888165 161.680924 164.139877 175.869029 167.244582
[7333] 164.296896 174.097256 172.315793 180.095041 179.551405 181.367285
[7339] 178.594537 176.179319 184.785916 185.039692 189.819911 189.828508
[7345] 191.920773 189.548993 187.298984 195.397041 196.039389 201.257977
[7351] 213.602796 212.728216 211.674908 209.223250 212.753242 208.425786
[7357] 203.845873 179.446362 190.519748 193.511723 202.121893 219.957730
[7363] 232.511361 243.932081 253.510997 243.008713 258.262135 268.638351
[7369] 345.812438 346.015978 347.427159 347.234024 347.474159 344.967826
[7375] 342.063365 347.953219 348.697765 350.056687 349.591994 349.364334
[7381] 347.176369 344.206008 350.051336 351.327497 352.626940 351.891985
[7387] 351.597673 349.442903 346.460987 352.248589 353.689431 354.976315
[7393] 354.210356 353.853487 351.730803 348.732000 354.453799 356.050633
[7399] 357.317749 356.513250 356.151475 354.025516 351.023201 356.744176
[7405] 358.345379 359.613246 358.814674 358.450151 356.322307 353.317140
[7411] 359.037298 360.642467 361.910635 361.110733 360.746611 358.618812
[7417] 355.613235 361.333012 362.938216 364.206614 363.407327 363.043468
[7423] 360.915627 357.909592 363.628963 365.234185 366.502804 365.703596
[7429] 365.339887 363.211913 360.206025 365.925287 367.530422 368.798918
[7435] 367.999906 367.636332 365.508222 362.502490 368.221661 369.826728
[7441] 371.095117 370.295810 369.933629 367.803370 364.798945 370.518223
[7447] 372.123197 373.391416 372.591729 372.230931 370.098530 367.095443
[7453] 372.814880 374.419822 375.687922 374.888525 374.527690 372.392776
[7459] 369.389990 375.110599 376.718414 377.985963 377.184583 376.823124
[7465] 368.692246 359.697168 359.427578 321.413256 375.414947 325.048124
[7471] 323.119720 323.035203 320.828153 327.624355 330.382032 332.470407
[7477] 332.824416 333.325516 332.155434 329.758920 336.644286 339.564424
[7483] 341.492073 342.337304 342.418031 341.251073 338.674012 345.724360
[7489] 348.747153 350.272366 351.874640 351.538831 350.376662 347.619141
[7495] 354.833226 357.955954 359.073994 361.441578 362.418310 351.466276
[7501] 338.710911 346.019970 350.025001 349.625353 356.242184 357.723065
[7507] 364.689514 345.234692 334.679615 318.749445 327.909904 347.961969
[7513] 356.073120 353.005662 348.520085 353.723148 354.721981 354.151731
[7519] 353.970908 351.851469 348.790070 344.509694 349.584112 350.437505
[7525] 350.071443 349.397560 347.647936 344.586900 340.477620 345.411940
[7531] 346.173082 346.115776 344.810819 343.426217 340.361442 336.420107
[7537] 341.212467 341.881166 342.134812 340.528790 339.192607 336.136008
[7543] 332.201244 336.995077 337.668482 337.965951 336.276190 334.983912
[7549] 331.928797 327.993503 332.782577 333.455828 333.793865 332.065343
[7555] 330.772010 327.719180 323.784669 328.574209 329.248351 329.586571
[7561] 327.857309 326.562935 323.511992 319.577664 324.367017 325.041439
[7567] 325.379357 323.650736 322.355431 319.303976 281.588906 267.776783
[7573] 251.944025 225.669197 174.009507 150.247860 148.112504 145.095306
[7579] 150.801381 152.394090 153.650018 152.838483 152.457528 150.319089
[7585] 147.300806 177.238921 161.766797 142.055279 140.936958 140.248898
[7591] 137.801221 134.475547 139.878763 141.172431 142.129952 141.023641
[7597] 140.380662 137.880516 134.601690 139.919600 141.042390 142.229077
[7603] 141.131436 140.527114 137.965401 134.722531 139.943813 140.885463
[7609] 142.293455 141.221530 140.967260 138.003246 134.825141 140.057388
[7615] 140.498790 142.392094 141.312207 141.410702 138.043822 134.927185
[7621] 140.164992 140.098712 142.467487 141.162336 142.197632 138.125338
[7627] 123.381803 117.097108 115.962428 135.514507 139.501624 130.582343
[7633] 113.729126 115.390320 137.491403 133.654932 169.872554 140.350010
[7639] 151.414768 205.872040 168.171440 189.505358 168.922842 142.340572
[7645] 119.056453 125.542503 117.755854 109.572172 110.472875 110.494139
[7651] 106.267823 99.642753 116.010252 107.308157 99.435788 100.798206
[7657] 107.134102 100.268808 95.536373 97.068613 101.524091 95.748316
[7663] 96.034050 101.189801 95.203432 89.570720 91.698221 89.734148
[7669] 86.189666 87.643522 99.187707 86.952641 98.109660 111.241096
[7675] 98.086755 101.848853 99.774132 97.818464 96.754004 102.045060
[7681] 101.767366 104.075437 99.852993 103.564772 117.793725 116.289947
[7687] 101.306139 97.133355 94.219493 96.976749 97.750328 115.624767
[7693] 116.960802 139.474967 113.459791 123.705049 119.346050 152.119842
[7699] 194.036272 204.965145 206.405111 149.071248 105.914613 118.126949
[7705] 194.106965 207.441155 232.910827 233.033916 221.946955 180.821716
[7711] 205.315485 167.544105 129.558818 157.838745 129.991506 118.003903
[7717] 131.614213 116.088901 135.622167 184.122453 203.145014 159.018960
[7723] 153.042440 137.328906 102.588442 123.719863 99.464586 87.447796
[7729] 86.456064 70.767484 63.040276 59.061216 103.829499 121.228860
[7735] 116.060657 101.408060 85.243678 77.706796 70.851907 76.072470
[7741] 79.650991 123.286592 132.220855 148.533067 110.266373 86.057433
[7747] 120.943151 132.760261 103.936104 136.741951 96.427092 105.028162
[7753] 87.709572 112.160830 154.325610 133.090000 148.641121 159.432240
[7759] 156.328481 115.496994 130.956081 139.590525 149.343880 166.115853
[7765] 162.319941 164.095909 159.930063 165.496511 171.725687 186.823082
[7771] 179.328990 178.785134 153.730628 133.726543 118.345263 148.841366
[7777] 149.735225 138.976432 132.540223 131.733277 116.895578 123.301662
[7783] 128.813133 137.260418 142.940176 134.847482 131.826268 133.509888
[7789] 126.838438 133.670480 132.112965 124.329583 105.848179 99.767740
[7795] 95.113393 102.484126 104.918724 100.242411 102.592430 128.090201
[7801] 136.827315 119.391576 136.757058 131.131065 134.968020 111.743207
[7807] 94.601280 95.640177 65.098932 58.192003 55.529963 47.167971
[7813] 46.329372 57.052340 54.498867 45.982401 70.135162 85.552832
[7819] 89.113231 94.063124 94.810744 100.436667 100.879228 101.342016
[7825] 106.090502 104.274113 100.411952 94.879030 97.396719 78.000234
[7831] 79.587525 76.491709 79.242627 77.542719 72.981016 66.960825
[7837] 63.512851 64.629288 60.797880 70.152148 77.448555 95.687544
[7843] 91.143260 86.987301 91.317107 98.511677 88.223278 94.337747
[7849] 87.665551 52.009045 63.347755 66.630400 71.599574 83.125668
[7855] 78.969732 82.083935 75.368719 56.009971 86.281741 110.800379
[7861] 96.966603 107.203366 98.348377 90.730827 98.438386 99.232299
[7867] 90.848731 78.832996 84.131996 83.629460 96.778140 68.800729
[7873] 90.602952 110.802340 99.391635 101.064797 125.654049 114.390839
[7879] 107.303123 138.889235 145.293493 144.940065 124.513185 119.702490
[7885] 131.357067 114.507817 119.190404 131.478349 142.146702 145.389797
[7891] 140.041494 141.687122 113.315405 117.582874 112.441763 122.348016
[7897] 123.441820 117.206548 113.931247 105.727559 104.328648 98.563842
[7903] 94.433790 101.736684 90.870097 94.280198 95.790970 97.902228
[7909] 82.719651 88.616923 88.686043 81.983569 87.851823 70.840593
[7915] 84.286089 83.587366 107.564619 85.133118 92.509482 68.222480
[7921] 57.460515 56.108264 59.594789 57.063311 54.961087 54.973176
[7927] 49.386431 55.546054 80.939610 74.577905 69.327464 69.638359
[7933] 79.498439 96.748154 99.481421 79.168335 65.719139 63.608493
[7939] 49.339936 54.035250 51.048060 51.481222 67.191149 82.229410
[7945] 78.651182 82.142697 77.108158 70.306528 75.265398 75.838172
[7951] 76.136097 67.817674 72.540238 70.756217 60.852684 64.846750
[7957] 74.802296 68.733807 65.840265 63.410625 56.906425 54.117413
[7963] 53.678547 57.095621 50.978058 48.811613 46.178910 48.383937
[7969] 47.022559 47.958349 47.514381 50.981133 48.436811 48.395208
[7975] 47.478277 47.131962 45.631161 47.976210 47.150039 46.525959
[7981] 48.467527 49.623492 49.163958 49.019050 50.242257 48.143337
[7987] 58.908262 49.975881 49.982766 52.220126 49.073810 49.719311
[7993] 55.968130 50.696274 51.283862 48.640509 47.861477 48.922383
[7999] 47.822122 49.766133 61.070935 49.932928 48.265311 47.791869
[8005] 47.819684 49.013127 48.062091 48.445232 48.772691 48.783447
[8011] 47.795541 48.666434 49.413269 50.677983 48.834081 48.060532
[8017] 48.004903 47.929085 46.909347 46.786354 47.953742 47.082791
[8023] 47.645752 48.163917 47.243957 48.679730 54.000198 54.108024
[8029] 48.050780 51.568486 51.642551 46.925255 48.025469 50.661021
[8035] 60.395906 63.296700 49.367395 53.539813 47.655796 47.308917
[8041] 51.352103 55.903259 52.400396 57.255385 60.293544 52.603244
[8047] 52.072601 51.096205 68.156929 57.550826 58.832007 49.105065
[8053] 46.986908 46.679927 47.876866 51.247111 49.405896 49.539583
[8059] 47.874852 50.070748 49.789652 57.469785 62.111649 53.647520
[8065] 57.853050 70.364840 80.306641 71.417337 77.781682 77.224683
[8071] 78.538679 84.313377 82.391680 83.187397 81.921538 92.233946
[8077] 97.151257 100.401928 99.387157 104.325429 102.093913 100.187884
[8083] 102.023116 99.035313 101.284710 96.423983 100.900288 90.016772
[8089] 91.562761 94.538446 90.017719 93.119933 96.911390 82.701275
[8095] 84.618381 82.005695 88.653160 73.989288 81.808425 89.737968
[8101] 86.923769 89.230107 82.391461 81.286921 84.055391 80.846217
[8107] 95.496890 79.070095 76.928288 76.954916 83.961311 83.596264
[8113] 86.299209 93.086028 83.119122 91.080303 83.837572 89.083921
[8119] 87.050874 90.684464 91.311774 97.158262 90.181101 90.788983
[8125] 89.499365 99.956996 111.063874 109.947422 113.796088 124.173507
[8131] 112.981841 120.735761 121.266825 122.239921 125.382509 120.491175
[8137] 113.853797 106.380980 94.885430 79.458092 99.388123 98.145947
[8143] 104.839683 99.633212 98.184902 95.466781 99.364853 103.481875
[8149] 107.533610 108.334673 107.534961 100.998245 103.926780 119.086366
[8155] 113.329981 113.289218 109.804972 98.676398 87.184615 75.763804
[8161] 80.517989 79.070443 87.635651 73.425219 70.372724 60.424047
[8167] 62.818152 65.012005 63.631494 64.050576 60.604115 58.241358
[8173] 55.127439 52.349482 55.955571 56.601081 58.617815 58.920769
[8179] 61.618768 61.832560 65.771562 61.509416 64.316224 60.345264
[8185] 55.720906 59.082872 55.662479 65.994062 64.664685 73.162966
[8191] 77.094293 82.230680 83.787737 87.600344 91.011924 100.412182
[8197] 104.163864 102.966506 104.807498 117.378845 108.647833 87.145663
[8203] 98.133148 97.194130 103.811641 98.132782 98.060556 95.684188
[8209] 94.953883 96.493724 96.537214 96.778806 95.865231 94.493890
[8215] 92.840308 82.231413 90.433872 86.796548 87.155623 87.597970
[8221] 83.598181 67.496611 84.698728 82.713749 81.055003 81.823817
[8227] 80.718441 86.135490 82.708574 86.442616 85.323390 87.255320
[8233] 99.221366 95.862551 106.542256 104.378467 105.283413 93.356351
[8239] 106.996069 94.702716 95.659563 93.628134 95.393634 96.912819
[8245] 95.536447 95.630207 97.858370 98.582643 94.005789 90.655234
[8251] 97.347132 100.467445 112.750900 104.582174 102.238943 99.121757
[8257] 101.224520 107.082162 106.804315 103.897747 98.547058 108.295485
[8263] 109.175034 124.025411 129.864027 126.360046 127.900912 125.998548
[8269] 126.899506 131.036068 134.584646 144.933831 147.559054 150.987245
[8275] 145.605439 141.700483 132.039020 125.748780 118.101963 122.246653
[8281] 117.104432 109.360896 102.667023 100.608594 108.432568 118.599466
[8287] 123.492353 126.663161 118.446932 81.895083 108.709345 83.603094
[8293] 109.115918 106.070627 98.332464 92.091733 79.030984 84.743210
[8299] 72.029669 76.610677 80.043170 97.653551 80.486021 85.509179
[8305] 82.496220 72.438919 85.958963 87.000442 92.874705 89.780561
[8311] 82.093911 55.284964 59.548502 86.127980 95.087546 90.234085
[8317] 77.984399 72.661674 62.715135 49.911190 66.846522 54.739650
[8323] 58.427521 54.807364 49.961367 56.455760 54.210358 61.019043
[8329] 76.300240 53.732622 52.599285 50.187388 46.972497 47.133227
[8335] 47.180710 45.632135 46.356984 49.874424 48.828629 48.415963
[8341] 45.980938 48.457153 49.120665 51.247439 52.224449 52.714512
[8347] 58.469166 52.105501 49.405520 48.665149 48.847580 71.939782
In [65]:
const_price_wo<-window(const_price_wo,start=c(2,1),end=c(1193,7))
Warning message in window.default(x, ...):
“'end' value not changed”
In [72]:
#Primer dia es 24 de julio de 1995
#Ultimo dia es 28 de mayo de 2017
const_price_wo
Time Series:
Start = c(1, 4)
End = c(1194, 4)
Frequency = 7
[1] 4.722234 16.494922 4.251391 3.191018 14.412766 3.845666
[7] 3.708885 1.960012 1.671282 3.101370 2.237635 2.270495
[13] 3.697704 3.598761 5.068634 5.962676 7.956858 7.967927
[19] 12.369206 22.183469 46.665899 66.829223 70.649594 102.363946
[25] 114.396801 110.583697 48.345729 28.856087 6.037896 6.464131
[31] 3.667269 6.881808 4.713816 2.991442 4.110945 4.671051
[37] 5.139509 3.768431 3.570611 4.864616 5.992344 6.006407
[43] 5.707354 5.839317 11.228342 7.451181 33.727942 40.137281
[49] 50.554591 50.402298 50.995888 49.587531 49.449530 49.827038
[55] 38.810006 42.972974 38.710639 37.950869 28.156700 17.915879
[61] 27.934834 36.641511 47.055490 38.026082 39.390385 35.361750
[67] 20.309600 35.931306 39.125932 38.632863 37.730525 37.798071
[73] 48.845242 21.607549 39.101521 40.828337 44.603040 50.050670
[79] 50.611818 54.500174 53.458047 63.502004 56.500363 60.031721
[85] 29.424037 15.913913 6.125970 3.521019 3.899956 9.546408
[91] 9.879198 21.131722 31.009189 28.937157 21.546770 23.973132
[97] 20.048063 25.646133 27.818227 62.301351 56.913122 44.105771
[103] 42.052585 43.074157 51.465008 45.217940 58.184633 50.960197
[109] 38.772454 41.183421 52.092079 53.040630 37.291785 33.675108
[115] 21.801695 24.350294 43.964056 40.263554 39.665475 37.673245
[121] 53.864461 65.632725 73.667477 101.057144 111.663684 100.032800
[127] 119.236587 125.017021 126.713635 112.577786 159.787740 159.952460
[133] 161.762827 159.061809 162.654518 158.409529 154.550168 158.864915
[139] 158.047771 160.640079 158.775997 160.465575 156.803176 154.204697
[145] 157.957908 156.136829 159.494244 157.522629 159.559941 155.476008
[151] 101.642322 145.750241 143.989072 148.767727 147.560579 150.670459
[157] 77.703350 74.630848 42.634154 69.390842 61.212644 77.275489
[163] 80.651572 66.745298 42.413276 41.993947 49.331774 63.009890
[169] 75.452467 86.078810 78.727014 79.954637 68.578213 97.890608
[175] 110.946568 123.974908 128.662204 126.441184 84.085452 105.723522
[181] 92.589224 87.596195 83.075379 70.392709 63.729848 61.054861
[187] 55.515776 50.318702 51.577120 50.103272 45.338603 45.204953
[193] 36.054929 49.151438 46.180603 54.692307 43.512313 42.375539
[199] 45.330853 22.335685 25.934957 15.590418 14.141285 8.525487
[205] 12.358382 10.666066 15.984982 31.317702 31.055880 26.542243
[211] 18.463678 20.645080 17.953490 13.165468 35.957334 31.501138
[217] 28.743500 24.832746 24.676826 21.197468 16.753469 18.126290
[223] 20.947530 20.449579 56.845140 23.909023 23.375323 16.100837
[229] 17.057741 23.631327 19.242595 21.260856 14.953554 11.850221
[235] 8.406973 9.931297 10.391136 8.107511 5.999112 6.171015
[241] 4.645908 5.152616 6.422714 5.733522 4.932218 5.682554
[247] 5.814737 6.106030 4.523417 4.931679 6.623269 6.770902
[253] 7.342966 7.998894 8.975743 7.951364 8.497844 10.808406
[259] 10.580944 7.278775 5.940523 6.127920 6.145337 10.196508
[265] 11.363890 12.010419 10.973399 10.065705 7.008241 7.319726
[271] 8.226313 11.411369 9.471789 8.150031 14.331599 11.021859
[277] 9.538399 10.704744 10.819054 12.414457 10.139170 6.136763
[283] 4.622874 4.086050 5.437012 5.134281 3.923391 5.905822
[289] 5.603033 5.297662 4.183201 7.977622 8.996630 10.533189
[295] 7.653852 1.984848 3.410304 4.014269 6.426817 5.750612
[301] 7.219236 5.198893 4.433245 3.820893 3.625059 3.656140
[307] 5.130573 3.764762 3.666118 3.662872 3.612857 3.641566
[313] 5.219031 5.289059 5.986056 6.078106 5.125938 4.451530
[319] 3.585050 5.247889 5.331924 5.302099 5.801909 5.155178
[325] 5.006400 3.558863 3.946976 5.734331 6.554927 6.188897
[331] 7.482696 8.033693 4.767753 3.928923 6.594866 8.820131
[337] 11.249136 6.760866 6.297589 3.639017 3.967287 4.048028
[343] 4.485692 4.619083 3.530029 3.488200 2.628374 3.108740
[349] 3.486408 3.433630 5.541491 3.522303 3.536579 3.513855
[355] 3.336563 3.997237 3.999502 3.337879 3.068493 3.504795
[361] 3.501704 3.501686 4.981898 3.499418 3.782840 5.927382
[367] 4.304867 3.554718 4.236451 5.280631 4.864848 7.625392
[373] 7.545636 7.669636 4.085223 7.159892 7.769080 5.811392
[379] 6.250116 3.856725 3.853704 3.851238 5.960720 6.239097
[385] 4.326988 6.503104 9.624786 6.601995 4.269301 7.955409
[391] 10.358782 16.484048 16.426721 26.982150 23.314363 14.026939
[397] 8.449888 12.050157 11.907368 10.647700 10.785679 14.141152
[403] 6.846020 14.204986 13.270114 10.357561 12.779703 9.286841
[409] 5.470765 4.645757 10.047105 7.238790 9.754484 11.430830
[415] 11.001659 9.088996 7.850377 17.002536 34.263416 51.592230
[421] 55.547599 55.185051 52.666100 51.510918 56.877652 56.571984
[427] 57.229635 63.011055 67.375803 64.632636 65.172800 63.388406
[433] 65.679838 65.773829 60.777357 61.317927 56.552799 48.180779
[439] 54.816353 54.343667 53.711774 45.859257 37.671956 29.383422
[445] 15.007703 22.611115 11.132030 11.676956 8.383455 10.727727
[451] 5.287235 4.995146 4.407583 10.015497 8.886165 8.940185
[457] 8.563655 3.615101 3.602482 10.045734 9.402185 11.986942
[463] 9.045918 10.676496 10.979274 3.547631 10.096720 9.189402
[469] 10.592841 7.357233 5.264693 7.589789 3.540016 4.267741
[475] 6.992362 11.409864 12.513650 25.032936 50.844608 66.941353
[481] 63.414285 65.905548 69.194675 66.165933 70.196031 57.131937
[487] 25.355424 56.996936 48.765132 66.961286 64.947771 80.262453
[493] 76.659770 70.016732 91.152496 92.789191 86.897407 112.159234
[499] 100.293856 85.390450 70.818996 74.907004 69.688277 63.981327
[505] 57.759184 47.693271 34.850591 33.937151 37.858838 33.656607
[511] 30.537674 21.525729 19.079828 16.278384 11.364615 16.749810
[517] 22.408823 24.242982 26.387360 25.231865 16.389401 12.963863
[523] 14.082258 20.458674 19.706249 39.579110 71.445658 94.976502
[529] 72.401388 62.762629 55.494265 63.750411 61.672336 56.192258
[535] 44.184413 40.382927 42.437471 49.328844 51.676540 49.025425
[541] 49.873615 59.567278 47.856218 54.822625 51.851221 61.174423
[547] 61.982851 60.228053 54.986514 51.455621 56.004295 56.016193
[553] 58.744448 55.199165 65.141643 58.954332 59.845319 61.058668
[559] 57.638841 62.335734 70.466173 77.793351 74.155132 76.388419
[565] 82.809469 67.437490 62.765968 82.865080 73.598472 70.824194
[571] 73.584112 76.704705 72.854370 56.585547 69.809068 57.785686
[577] 51.319368 52.574727 76.460216 62.403436 86.178331 68.459099
[583] 74.551511 82.045123 74.077598 60.970731 59.704444 65.632301
[589] 51.553164 61.631472 64.209066 39.016868 61.396799 63.901948
[595] 59.292569 61.648038 68.573795 71.820185 74.483404 99.789698
[601] 92.956501 99.872495 95.534556 88.763267 70.948277 61.530071
[607] 73.370523 66.315440 54.896758 47.534546 50.472080 47.511782
[613] 44.468120 43.555023 65.096047 52.924624 51.932715 48.024667
[619] 52.521611 47.332735 69.597903 79.878537 71.682472 81.892555
[625] 73.704388 75.747150 69.981723 66.709372 73.742214 56.425315
[631] 70.676249 60.189238 54.591287 49.376149 54.136286 59.667024
[637] 78.406268 73.757937 63.796320 59.297559 49.209484 70.150560
[643] 56.236192 47.419794 43.787575 64.676900 49.833969 36.113349
[649] 47.928107 57.083897 65.854987 51.763364 84.073821 75.643481
[655] 59.160507 79.968315 93.566811 78.215551 106.044869 96.757743
[661] 105.889394 68.798215 73.248175 81.699849 78.886122 83.055668
[667] 81.151074 102.257975 92.688099 94.457206 89.938307 110.267269
[673] 105.499493 83.984844 81.517911 85.575299 97.222528 86.551630
[679] 87.286317 79.747893 80.143327 81.819880 66.562911 57.993417
[685] 83.197863 94.105545 76.178593 81.669128 67.411644 51.989043
[691] 56.318589 58.824694 71.643388 76.311519 65.207722 67.502362
[697] 63.509014 69.110648 77.691891 82.332139 84.548953 68.943714
[703] 82.646151 88.320675 96.366874 110.865624 96.810771 94.719118
[709] 99.638187 109.877122 90.202487 93.583924 101.785243 112.760558
[715] 76.146647 91.386836 99.094803 83.822890 121.259034 101.168655
[721] 86.341200 63.956295 52.531284 53.490167 49.097780 56.373327
[727] 53.898641 58.751783 63.473307 56.224803 68.390316 49.369428
[733] 66.523017 71.998214 79.623460 85.198655 70.707030 74.049420
[739] 67.705625 67.275993 84.970873 89.724255 80.851585 74.598980
[745] 48.483294 44.865649 64.943835 101.451544 108.563015 71.619356
[751] 103.605897 83.724711 65.996695 102.464922 100.768665 107.671241
[757] 105.246163 94.191787 99.976032 72.666166 69.509760 68.473502
[763] 77.499354 67.811457 76.354625 97.646021 74.692235 93.287203
[769] 90.415952 108.870079 136.113916 177.922391 107.060726 88.650655
[775] 171.222016 188.728572 245.711092 211.442224 173.269561 142.757366
[781] 211.165033 213.762934 202.840614 172.108807 181.552240 221.194765
[787] 219.841589 213.002835 219.247111 219.011954 218.964302 216.637280
[793] 213.915228 211.560132 205.678511 210.970874 210.900069 210.759196
[799] 208.390179 206.540130 203.207080 198.315782 202.695086 202.827521
[805] 202.626964 200.364352 198.528947 195.068396 157.042332 183.104624
[811] 217.289810 221.694530 232.502763 232.705217 231.144957 228.701874
[817] 234.986112 237.156387 238.992115 238.762908 238.964569 237.403748
[823] 234.961510 242.468289 245.860721 248.918003 249.907982 251.331799
[829] 250.992893 249.773475 244.273417 234.658547 224.707976 212.690211
[835] 201.107000 187.760143 173.533464 161.209947 166.094460 170.643236
[841] 173.124764 176.041470 177.193576 177.466525 186.465484 191.350023
[847] 195.898786 198.380067 201.296796 202.448944 202.722134 211.721107
[853] 216.605733 221.154433 223.635399 226.552128 227.704304 227.977724
[859] 236.976710 241.861421 246.410057 248.890994 251.807543 252.959533
[865] 253.233077 255.905972 254.464581 252.686977 248.841396 245.431469
[871] 240.256978 234.204353 236.877454 235.436263 233.658726 229.812912
[877] 226.402966 221.228311 215.175551 217.848828 216.407730 214.630229
[883] 210.784513 207.374528 202.199687 196.146769 198.820200 197.379180
[889] 195.601707 191.756332 254.696617 252.812716 250.050586 256.015145
[895] 257.865740 259.379949 258.825658 258.706604 256.822435 254.059889
[901] 258.054754 257.936162 257.481277 254.958180 252.869183 249.014543
[907] 244.281117 248.275276 248.157311 247.704501 245.182638 243.093755
[913] 239.238683 234.504356 238.498315 238.381954 237.932729 235.368477
[919] 233.326761 229.487316 224.810040 228.694692 228.445743 228.222399
[925] 225.566436 223.571118 219.745618 215.121599 218.891141 218.503335
[931] 218.499786 215.713682 213.493743 210.196627 206.181281 208.672303
[937] 208.110435 209.171260 205.832549 203.391722 200.626911 197.222366
[943] 198.434771 197.698555 199.825403 196.201650 193.145100 190.867752
[949] 202.341821 204.417574 200.024533 222.627926 220.860076 223.558314
[955] 208.050783 213.634009 204.370567 223.846936 213.636279 188.033468
[961] 197.599090 205.028545 203.118585 199.475782 196.446342 205.433318
[967] 201.571694 201.147244 187.551774 175.751220 192.825779 187.719250
[973] 194.102581 193.027201 203.338814 202.085013 197.837124 192.397329
[979] 190.187665 186.160086 179.295697 168.303896 167.903699 174.698471
[985] 159.995745 159.104601 175.369598 151.594289 152.041541 145.781964
[991] 135.901708 137.788105 136.852498 137.022548 118.149943 120.027870
[997] 120.565294 116.088459 127.288824 125.079872 130.263486 122.596636
[1003] 130.323113 115.773621 109.595353 110.501031 101.563289 95.959647
[1009] 89.629302 85.865293 76.607239 71.949392 70.684828 65.930222
[1015] 68.363540 67.878998 62.107812 63.293924 64.476416 61.612363
[1021] 57.187970 47.291511 50.127324 46.041289 51.055143 43.847896
[1027] 47.418006 50.569413 52.406090 52.471173 54.900343 52.549017
[1033] 55.095840 58.520713 51.605992 49.440092 54.840621 55.679509
[1039] 51.720426 46.518760 48.248810 55.787682 52.007935 51.475158
[1045] 40.705196 37.326930 35.090203 36.935112 37.723978 38.081076
[1051] 36.586047 38.397344 38.853088 36.241738 37.913423 36.130833
[1057] 36.360393 39.087195 36.331802 36.331953 34.733282 34.401469
[1063] 36.739900 40.115680 39.423433 36.161869 38.522018 36.015938
[1069] 33.963349 33.452239 34.633340 34.243802 34.476682 34.611035
[1075] 32.396066 31.738628 32.797903 36.798398 39.982419 34.009781
[1081] 36.558950 35.199045 35.651455 34.772321 36.093756 38.669506
[1087] 37.260502 34.501912 32.705839 35.963965 34.783731 30.785555
[1093] 31.628767 31.848455 33.708072 30.111739 27.537315 36.049280
[1099] 35.421616 38.590642 35.261217 33.098011 29.311725 39.295631
[1105] 37.063179 42.415363 39.544841 38.441943 37.898502 34.968087
[1111] 37.590364 39.330837 41.280964 40.857675 32.417554 34.088441
[1117] 34.790822 39.468273 43.583633 40.944410 41.408301 39.557414
[1123] 38.756660 36.109769 34.373882 41.377574 40.346266 41.598350
[1129] 40.236848 41.716537 36.351754 44.055479 45.008333 45.917403
[1135] 44.557305 45.260237 45.647427 45.020027 47.391810 48.771843
[1141] 48.567681 48.080324 47.005556 41.152305 43.404365 48.539365
[1147] 48.719376 47.012938 50.043782 46.175704 48.955647 36.310217
[1153] 36.925848 43.072843 43.103607 38.256454 38.599562 36.773068
[1159] 37.203423 40.908037 37.734958 43.119332 46.667326 42.526251
[1165] 44.575030 43.309261 45.695849 47.496275 51.837845 46.088204
[1171] 45.148046 42.002417 41.413463 41.674002 41.352924 44.541897
[1177] 46.700634 45.618480 47.671325 43.422407 41.071257 41.255529
[1183] 41.173849 44.551157 45.151349 45.820436 44.704475 48.134879
[1189] 48.189521 48.729874 49.830597 48.240271 50.656418 45.405152
[1195] 49.341918 48.251743 47.712993 46.561104 47.111766 42.520474
[1201] 42.431819 43.952060 45.733200 45.814847 61.190009 48.453887
[1207] 50.157131 47.619614 44.561583 50.277253 43.837900 39.168802
[1213] 47.023375 42.143571 41.001594 40.465878 49.229391 47.766624
[1219] 48.599947 47.998183 46.758533 42.066123 46.993850 46.861681
[1225] 54.189960 54.074845 44.166891 47.715358 41.578086 49.281934
[1231] 54.633179 59.833294 54.358185 53.327308 43.045892 40.761651
[1237] 41.005299 40.576539 39.662343 44.741773 50.931052 44.557614
[1243] 39.684374 42.564661 52.554567 42.572979 42.772529 41.958024
[1249] 48.622525 42.363669 55.382577 43.651373 41.419996 38.562951
[1255] 42.439221 45.175448 44.695463 42.346273 49.163790 44.268899
[1261] 50.017022 43.261469 46.120818 48.401737 49.884862 50.687549
[1267] 51.265747 51.253515 49.147158 52.693187 47.845294 52.194620
[1273] 51.751923 43.404067 45.849238 49.380573 50.177142 42.774607
[1279] 56.799303 49.928888 50.722729 50.331924 44.343564 51.253732
[1285] 44.556764 45.368279 51.668105 42.301325 38.922581 38.738483
[1291] 39.271900 38.215508 50.652156 48.945324 47.563884 53.255776
[1297] 46.090688 45.897346 43.323162 47.155792 44.415247 43.297126
[1303] 47.823940 44.576260 51.549513 45.850949 45.301284 50.450970
[1309] 47.180120 48.491923 49.394885 46.744826 44.334455 43.823151
[1315] 42.465240 43.978337 45.151975 44.565828 41.289853 42.523950
[1321] 41.794251 41.643298 43.084993 44.408785 40.227885 41.018407
[1327] 37.357242 42.312243 41.869846 40.362535 37.993892 37.661648
[1333] 36.938782 43.098252 37.981904 39.345624 40.074732 38.384080
[1339] 36.700692 40.145377 36.669914 38.324551 36.813150 38.480315
[1345] 46.103125 45.792708 35.417358 34.404439 35.837501 38.032682
[1351] 37.355304 39.848691 36.531042 37.147972 36.592781 45.084918
[1357] 44.573472 44.807912 46.965920 41.815805 42.834164 43.676185
[1363] 45.186866 43.863405 43.985030 42.389000 40.373349 39.432908
[1369] 41.437266 44.144544 43.704543 48.093977 52.628771 48.565738
[1375] 40.281233 37.805491 45.231726 44.509510 39.218759 39.019985
[1381] 39.563962 39.186665 40.792595 43.507923 52.084172 41.604997
[1387] 47.321687 45.628337 42.809237 42.802625 48.669937 54.840810
[1393] 51.735009 50.140795 45.035263 43.253735 45.361099 44.372691
[1399] 46.705658 46.283329 48.331515 52.427024 51.041281 42.710162
[1405] 46.397082 47.698343 54.479962 48.299001 45.842292 49.782663
[1411] 44.735695 45.917409 51.396484 63.567239 60.499595 48.549086
[1417] 48.830585 46.808704 48.385032 49.084090 52.371977 50.592522
[1423] 49.461510 52.217938 50.151740 46.397585 48.530387 49.174577
[1429] 49.091845 48.756477 46.752023 48.213672 46.675653 48.031684
[1435] 46.944921 57.221314 48.697806 53.343095 46.341402 50.525746
[1441] 52.145002 49.079448 53.710639 53.441062 48.292151 47.686747
[1447] 47.681986 46.926513 55.065721 50.592868 47.554525 47.159353
[1453] 46.903091 46.898409 46.893726 47.864174 47.184415 59.550781
[1459] 55.587897 55.693190 55.945460 53.607404 58.814282 59.581848
[1465] 55.473493 52.424636 49.528870 53.786561 54.618784 52.605934
[1471] 52.593133 49.945916 50.403676 52.097610 53.399315 54.476060
[1477] 53.718891 54.590341 54.823766 53.244178 53.818947 56.367573
[1483] 56.507970 55.153373 56.340373 57.124543 54.828021 54.520332
[1489] 54.810381 58.012608 58.003275 57.396770 55.148271 54.467727
[1495] 54.458964 55.494630 55.112791 62.636663 60.484514 63.377005
[1501] 61.846067 56.410089 59.791714 60.191961 64.633754 60.976764
[1507] 60.411454 60.293110 58.387619 61.098839 63.809464 72.120609
[1513] 61.733781 59.025389 57.381686 55.664054 59.712687 58.515799
[1519] 58.621128 58.354257 58.065312 57.858166 56.029378 58.254226
[1525] 58.322224 57.609776 58.457993 57.597124 57.194204 55.578538
[1531] 59.902821 62.055762 59.296282 59.378528 56.427127 56.640472
[1537] 54.459733 60.301996 60.971549 55.575866 58.664045 56.709736
[1543] 57.299802 54.426754 56.953836 64.017410 56.829771 60.371979
[1549] 57.509986 56.736372 53.505784 54.500253 56.717191 56.725737
[1555] 58.676636 56.990654 55.469484 55.463233 58.245329 59.389590
[1561] 62.919562 58.510437 56.918884 56.091837 53.421424 55.595628
[1567] 57.843158 57.094339 57.011208 56.003825 55.551275 53.546478
[1573] 56.974820 56.965727 56.956635 55.506958 55.966813 56.486252
[1579] 54.483534 55.228072 57.286908 57.926249 57.880166 58.645638
[1585] 56.497003 55.197155 57.511363 57.907784 56.829499 57.557601
[1591] 55.632109 55.365381 53.367293 55.347710 55.523066 55.137753
[1597] 53.545229 53.536099 53.306162 51.530901 54.502022 52.396115
[1603] 51.504547 54.143217 55.089906 54.420464 51.469429 55.686457
[1609] 70.530443 56.328656 56.891982 61.266655 54.537587 51.408032
[1615] 59.436843 58.751579 56.408158 58.562866 54.921933 51.355463
[1621] 53.033356 57.665151 57.926420 60.921550 59.518832 58.314406
[1627] 57.784078 58.053138 65.472760 73.200891 71.773703 64.609473
[1633] 67.505487 56.594564 56.571169 56.547783 59.515309 62.837738
[1639] 62.702427 64.119131 57.741935 56.407673 59.004057 67.890300
[1645] 62.663460 68.082745 65.049364 61.242383 56.317297 59.740461
[1651] 64.771107 76.989794 75.500988 80.022498 64.573532 61.872391
[1657] 76.602633 69.657274 65.251722 60.447443 61.361229 59.852127
[1663] 58.571886 64.339239 66.736998 61.876664 64.195598 62.645666
[1669] 71.547075 65.261821 73.463380 85.530361 83.710609 82.964544
[1675] 88.906546 68.662150 63.650383 88.320141 73.670163 80.429412
[1681] 74.989931 68.848914 61.681529 57.439705 58.822134 60.386196
[1687] 60.920856 63.659828 57.890774 70.425856 57.757113 59.345671
[1693] 59.524435 61.321354 61.112117 59.497190 57.567882 57.536404
[1699] 60.873301 62.733681 63.042070 71.329944 64.136219 63.331398
[1705] 59.065032 63.367017 65.358476 71.746999 86.447702 79.787830
[1711] 50.577656 61.621943 64.391406 63.797442 62.623287 59.013753
[1717] 61.756670 62.245433 62.207129 70.926729 74.862340 70.634506
[1723] 76.199312 86.847927 72.441175 61.074600 84.753601 84.863876
[1729] 90.039197 88.480675 84.876231 65.643799 63.186197 75.044590
[1735] 80.074760 74.138732 54.447775 49.414294 64.770563 71.265093
[1741] 70.597353 82.197091 93.795905 90.886883 63.211406 74.209804
[1747] 61.068005 63.403836 72.667651 64.922796 67.450583 74.982230
[1753] 58.583892 57.652354 56.002453 66.221424 67.178747 64.069702
[1759] 64.462061 61.871322 56.002745 59.533144 69.490987 63.522196
[1765] 65.095438 62.167262 57.184602 50.199313 47.847865 54.170037
[1771] 56.907647 52.988702 79.925135 62.382825 61.004078 54.492159
[1777] 53.080209 57.634783 62.342810 60.691144 56.071337 59.628421
[1783] 63.386998 74.856750 59.667047 69.778169 66.800545 61.108450
[1789] 56.266751 63.012003 72.171535 67.848479 78.055521 70.951575
[1795] 71.078803 62.240525 68.842628 67.782889 76.229023 72.805228
[1801] 73.489922 68.629331 59.016919 55.024786 60.294371 65.511645
[1807] 56.418660 69.928636 63.767942 60.379517 63.073667 65.755242
[1813] 67.897114 65.352639 63.403389 77.495309 67.629159 76.167417
[1819] 78.255395 76.100900 87.255963 83.048614 69.777503 73.759847
[1825] 82.607069 81.615787 74.191707 69.235559 71.124812 67.555425
[1831] 60.188762 69.933108 78.006396 51.334267 67.591158 62.034854
[1837] 81.610455 57.039778 65.970354 64.123974 78.471065 74.013128
[1843] 73.355516 68.357808 62.264526 63.506456 51.376565 79.240078
[1849] 79.334651 71.237717 82.087238 63.969739 80.231468 107.623848
[1855] 93.124428 93.456608 81.831514 80.593329 69.176892 82.830799
[1861] 96.478448 97.769538 91.716463 87.097965 93.711096 65.918523
[1867] 84.887061 92.453805 91.693341 92.844489 105.383207 100.538280
[1873] 69.693365 62.250330 109.018889 107.776234 58.809149 99.975357
[1879] 87.489111 70.449321 88.547364 74.842419 113.900220 93.759663
[1885] 112.668795 99.253849 83.534439 103.755474 118.532121 117.662074
[1891] 120.332993 121.163410 107.547963 76.494203 119.596901 119.970409
[1897] 83.423695 106.383747 116.751679 68.833785 87.778067 64.650092
[1903] 106.687636 113.875687 89.912886 98.513833 74.459226 75.252489
[1909] 93.923954 80.500677 84.272578 89.598584 81.209085 74.185051
[1915] 72.443427 65.431249 82.897362 81.834424 72.382012 72.755129
[1921] 69.106978 57.500498 85.988261 83.880376 87.309838 68.849419
[1927] 60.324111 65.701377 46.961200 76.634425 80.901713 87.324900
[1933] 78.336624 89.992668 73.703550 61.781790 64.534776 74.635592
[1939] 105.159906 71.297540 72.134794 75.581969 59.853295 50.390300
[1945] 77.592608 64.688517 97.719555 69.209002 60.100029 48.549349
[1951] 76.858667 107.345027 70.517367 77.249930 62.447594 63.764731
[1957] 60.028256 74.989377 78.714341 75.662530 83.602911 110.396110
[1963] 75.640881 55.675182 77.063316 91.139497 104.267168 91.990895
[1969] 72.086982 72.143733 66.394197 102.570073 93.509964 81.482659
[1975] 97.935869 85.641527 86.438058 81.704278 88.031540 82.893850
[1981] 90.095588 93.114459 92.359154 92.615100 98.463558 88.223317
[1987] 95.977068 100.987214 108.230423 106.734349 104.927853 92.102898
[1993] 78.908457 89.711124 89.614883 101.755299 88.749435 88.316407
[1999] 92.786640 86.094856 85.609487 89.874792 94.472696 89.412093
[2005] 113.224456 98.183318 126.477719 126.458895 131.510184 153.462434
[2011] 160.644655 106.370773 91.748170 133.397390 139.592038 129.120299
[2017] 141.527541 140.679019 119.382964 91.645350 132.862960 147.716696
[2023] 156.598573 143.694105 151.552858 122.847331 98.403375 128.945888
[2029] 137.398476 127.547194 125.001629 133.179152 127.072156 116.745910
[2035] 130.822992 140.936673 153.433506 140.702545 146.431135 148.330134
[2041] 111.686977 146.923862 167.483958 159.019376 151.426305 153.326728
[2047] 139.313517 121.006112 138.629644 129.493453 124.373948 124.841142
[2053] 132.971175 125.352146 104.363499 146.387756 129.987637 137.263304
[2059] 136.917131 132.644714 115.764972 103.239503 128.786403 129.563832
[2065] 128.116969 128.583794 123.892173 117.395636 91.637600 87.337311
[2071] 99.254046 90.742370 79.792500 92.382504 91.895540 85.434493
[2077] 91.611278 89.485533 92.057292 90.342323 87.316928 97.002622
[2083] 91.430609 89.743807 95.450957 96.965070 101.381772 98.739362
[2089] 102.103940 97.311190 107.681163 108.277641 108.244695 92.416192
[2095] 83.917204 90.615205 92.310580 99.256490 103.316112 103.084748
[2101] 104.324874 102.126930 103.734036 101.457907 104.804750 108.531982
[2107] 109.441593 117.872968 124.161229 122.073687 115.291047 119.917378
[2113] 98.666951 103.444329 97.949955 92.434608 71.843827 70.805774
[2119] 78.508853 85.610235 82.280240 89.826908 81.748522 82.257556
[2125] 77.939978 81.119448 79.129965 77.610338 69.810992 73.294651
[2131] 68.458066 68.522441 63.382352 68.493704 72.801998 68.461930
[2137] 63.680031 65.406944 60.829153 61.141626 63.353573 72.859030
[2143] 73.052997 74.843897 73.130724 72.419472 69.025904 65.252109
[2149] 60.495451 58.769801 66.834619 72.096691 73.325778 72.168726
[2155] 68.542545 67.540346 65.523207 65.433620 65.858353 64.399298
[2161] 63.085139 64.397581 61.913675 60.983184 55.988566 56.519434
[2167] 58.515632 60.733607 62.908162 62.095034 68.370006 71.189895
[2173] 61.743854 59.095434 58.205969 61.309662 64.155904 70.821651
[2179] 62.647770 61.998202 59.986957 63.419661 60.838186 61.869872
[2185] 62.557491 59.177955 55.776609 58.552901 60.774608 55.971227
[2191] 57.963891 61.255879 56.775147 58.546828 52.337116 57.147626
[2197] 87.074180 61.467357 56.503451 55.905934 65.079218 55.870508
[2203] 58.053212 58.285344 58.828080 57.208634 59.824840 53.201491
[2209] 64.372312 61.645413 58.032839 56.888891 57.516798 54.588814
[2215] 59.057299 53.947157 57.257208 61.228409 66.993700 62.004659
[2221] 68.689821 62.835429 48.364337 48.390783 58.312400 67.516177
[2227] 65.792206 65.122207 55.973800 57.087526 57.581781 57.226100
[2233] 58.579745 58.710671 60.600577 65.687908 73.052650 79.477571
[2239] 78.807929 87.541820 89.220046 68.175021 64.633319 56.708914
[2245] 71.666087 77.307928 64.734704 64.474436 61.313823 57.202082
[2251] 56.829515 62.589879 69.836127 66.487747 73.383624 75.555356
[2257] 67.578163 60.754798 70.716370 71.003872 65.258789 69.488044
[2263] 63.285608 61.993879 61.929610 61.625696 69.307486 68.944023
[2269] 75.474811 74.360656 68.979669 70.091033 72.645944 69.834756
[2275] 69.391119 70.272934 72.937826 74.437718 66.247746 68.223453
[2281] 74.434908 77.132070 67.401572 68.468617 71.694942 68.956613
[2287] 82.953505 81.505464 78.281153 56.430262 64.543935 67.800477
[2293] 56.589507 79.375195 67.015447 73.191575 73.895214 74.143363
[2299] 58.861558 49.936718 56.135288 61.517634 69.673789 67.410262
[2305] 52.074529 70.572641 57.524543 65.639000 59.875749 61.047068
[2311] 56.055758 56.725060 58.131952 52.187745 59.842562 63.019926
[2317] 55.224063 54.218547 56.433298 55.094559 46.987497 63.778780
[2323] 59.790151 47.222616 51.036508 46.768535 45.884006 49.791132
[2329] 50.950211 52.480917 48.202247 49.754885 51.661339 49.882088
[2335] 51.920474 59.747429 59.960446 66.061909 65.371938 66.323155
[2341] 60.090220 63.515450 62.938770 58.711766 55.731720 50.771031
[2347] 47.247814 46.745474 51.492668 47.466410 47.724430 47.105149
[2353] 46.338736 45.490083 44.310225 45.277378 44.436922 47.717724
[2359] 44.394687 44.734635 45.073654 46.875656 48.986308 51.687307
[2365] 53.158819 53.075683 52.116895 52.559940 53.424215 56.053031
[2371] 57.646146 58.963960 61.128829 59.342473 56.833718 57.099133
[2377] 59.168477 60.067537 61.842855 63.847309 69.361939 75.122304
[2383] 59.661228 64.848065 81.504910 64.083188 66.999758 65.602079
[2389] 71.946921 74.685782 80.817160 82.332457 75.979785 75.516015
[2395] 78.800653 79.675890 80.326225 82.236076 82.911919 83.970910
[2401] 83.701817 78.833465 77.198934 76.298897 76.745087 81.169978
[2407] 80.490805 76.672896 85.065768 84.689031 110.790229 86.554160
[2413] 93.970084 86.488116 87.821104 130.210614 75.070792 79.370784
[2419] 82.056870 75.386645 98.794982 77.520434 76.061675 67.942297
[2425] 73.887255 63.022167 73.120534 75.425082 71.254468 74.090098
[2431] 103.107809 94.211547 86.702643 96.269464 85.953662 89.698825
[2437] 91.329341 88.169521 86.698958 64.440858 65.017497 61.110615
[2443] 52.652265 53.650326 54.015498 87.491469 77.617082 85.241737
[2449] 92.128376 88.733161 89.550548 85.915160 80.089976 73.995022
[2455] 63.898938 53.213206 53.635239 68.684583 68.324095 62.371087
[2461] 52.272415 69.859954 75.353600 84.118478 77.670346 74.918969
[2467] 74.837912 56.210603 75.590600 72.163225 77.114711 67.032868
[2473] 65.238304 53.030652 49.937735 60.287479 60.993305 58.477983
[2479] 58.400473 53.575977 53.782600 52.122428 55.489780 65.284309
[2485] 69.391212 68.538255 60.674553 51.785831 54.878305 61.433050
[2491] 63.987963 59.888795 62.461041 58.838391 61.361840 58.035100
[2497] 61.530245 58.362654 55.657795 49.199366 46.196094 47.387225
[2503] 46.232243 47.542488 52.365101 60.440418 56.086241 53.003000
[2509] 47.590948 49.314537 47.008478 48.071482 54.932067 53.940844
[2515] 45.915627 45.637186 45.775839 47.496704 52.380408 55.531492
[2521] 50.556090 49.339746 49.780196 50.732086 53.001882 52.097953
[2527] 52.162200 53.630210 53.371814 49.589628 47.980007 52.411496
[2533] 52.648710 53.703679 50.815903 49.208827 48.714512 48.757512
[2539] 53.449561 55.250454 55.804795 53.215914 55.678822 54.789820
[2545] 53.799340 54.634089 55.534243 53.941440 57.048523 59.511295
[2551] 59.242527 58.269955 59.534047 62.558834 63.755751 64.035882
[2557] 64.056653 63.029268 62.993365 63.679840 65.111293 62.888664
[2563] 63.846066 64.367636 64.051629 64.811780 65.795623 68.896093
[2569] 66.826681 66.436532 68.202667 66.355682 66.670741 69.745117
[2575] 68.136223 66.968730 67.696984 65.676912 62.917789 62.077661
[2581] 65.033223 64.983264 63.428960 65.083642 62.989665 65.008480
[2587] 61.677673 62.632575 66.744929 64.920405 65.802755 63.702031
[2593] 63.769979 62.958342 63.642997 63.558346 63.302661 64.539243
[2599] 64.484603 64.532209 65.125183 64.879186 68.451223 64.678966
[2605] 63.421209 63.281995 64.066309 64.703275 66.848495 67.959338
[2611] 71.361190 69.299838 71.516868 71.419357 70.904602 71.199422
[2617] 71.470479 68.447355 67.881405 66.602396 68.282395 68.319431
[2623] 77.385177 71.746254 76.432160 78.215897 76.456046 77.623904
[2629] 75.530349 77.207461 72.867558 73.631944 76.312989 76.403054
[2635] 77.611310 77.514340 79.222798 81.295352 82.693632 84.117863
[2641] 85.868265 87.846544 89.099317 91.013609 92.158338 90.570597
[2647] 83.815519 89.031174 93.737234 92.222330 92.850532 92.561138
[2653] 92.438597 92.963540 92.475663 92.061148 92.614088 88.217011
[2659] 86.677176 78.155513 74.391897 76.117548 74.206963 70.950488
[2665] 71.522061 72.521771 71.847269 75.218608 70.037957 67.735624
[2671] 67.373458 69.225524 67.459224 71.823350 73.740592 73.370822
[2677] 76.419280 76.866814 76.935073 76.089579 76.726326 78.466124
[2683] 77.445574 75.018712 75.829703 75.991427 80.893817 79.224864
[2689] 83.589215 79.066385 84.137399 88.613058 90.902096 89.852184
[2695] 91.522284 93.791076 95.923020 94.949755 95.175716 96.379176
[2701] 95.955256 93.178448 92.772435 95.239665 92.481336 92.876292
[2707] 92.101317 87.859316 88.675151 86.171815 90.105404 88.360800
[2713] 87.905875 87.038767 87.658515 86.326216 85.654043 85.754743
[2719] 85.512350 85.275328 82.828383 83.242969 84.412797 87.481563
[2725] 88.920411 88.986349 89.075466 89.525988 92.068852 90.449334
[2731] 93.804757 94.153286 92.780475 93.996501 93.642156 92.355177
[2737] 94.193831 92.668194 96.747113 98.236361 102.030596 101.899602
[2743] 102.908152 103.028826 102.306288 101.948332 101.847001 101.087755
[2749] 101.684095 103.427410 102.295851 103.825954 105.026732 106.715398
[2755] 106.268121 105.353256 106.704565 105.252508 105.884067 105.130560
[2761] 105.085666 102.649368 100.784077 99.479595 98.794041 99.302839
[2767] 85.719272 94.595952 93.760139 95.922119 93.681696 93.054152
[2773] 93.934551 98.807397 96.334000 96.525611 100.367227 98.788438
[2779] 94.890458 97.230723 96.918155 96.717528 97.266601 93.518378
[2785] 94.371298 92.126518 97.007516 93.900325 98.016843 96.344395
[2791] 101.910322 101.699904 106.305970 108.118700 109.222335 117.282356
[2797] 117.293986 110.035080 114.217114 113.945940 103.916303 111.257879
[2803] 108.460401 106.439767 106.509860 106.390769 108.526759 106.749812
[2809] 106.660470 105.828727 106.290815 111.671308 110.678622 108.128000
[2815] 113.852803 111.596485 113.771871 110.501611 111.023436 111.742089
[2821] 114.058196 116.900801 116.105215 119.755295 118.826330 108.236288
[2827] 103.270407 107.139453 103.231081 105.598418 107.297091 107.624376
[2833] 106.238307 107.029281 104.579408 100.374673 98.974598 102.341220
[2839] 101.260276 100.942439 101.390191 100.242249 102.489536 104.432018
[2845] 106.347745 106.386871 104.907037 104.975718 103.009438 104.813354
[2851] 103.465275 108.054966 105.955941 104.366812 105.795377 100.408368
[2857] 99.071342 98.052740 96.603204 94.665428 91.793283 89.254686
[2863] 85.908131 84.237762 78.483710 81.305059 78.843048 72.402386
[2869] 70.971975 80.663986 69.113294 69.737006 75.376127 73.227217
[2875] 74.674230 73.423698 78.290521 76.279440 87.524586 91.730056
[2881] 95.144098 90.686748 89.356122 87.864888 86.292587 89.565474
[2887] 98.842899 94.877833 87.627542 89.248017 94.393756 98.499933
[2893] 92.689838 86.433954 82.858956 84.773739 82.537985 84.122946
[2899] 84.755684 84.479006 82.872718 83.006007 84.866544 85.624049
[2905] 88.971529 88.819191 85.891639 88.354227 89.627424 94.533973
[2911] 91.755733 94.553603 93.906731 96.782291 95.701858 95.984443
[2917] 97.573590 95.520047 95.239786 96.335288 97.052888 96.121915
[2923] 96.115168 96.675700 95.744049 95.902070 95.868446 95.844978
[2929] 94.326063 89.972115 91.991898 91.893521 93.278683 90.174485
[2935] 87.563898 84.285283 81.642410 85.254205 89.347347 78.761520
[2941] 79.405060 79.105466 78.740203 78.749574 82.879509 86.529559
[2947] 89.872803 87.065888 90.097321 95.815526 91.946025 92.264525
[2953] 92.397583 97.339807 94.494605 90.943905 91.121062 86.379258
[2959] 90.377541 100.615710 94.061286 89.462420 83.987040 77.689801
[2965] 70.267156 80.550112 91.429318 90.341146 89.577086 94.037032
[2971] 83.634417 81.347401 100.055486 98.205596 104.310428 85.225917
[2977] 82.587490 71.187067 81.588401 83.599669 78.877267 74.925458
[2983] 74.690068 75.115881 75.368731 67.603094 82.911625 87.174947
[2989] 75.472795 83.461414 82.242336 80.936699 79.736075 79.918584
[2995] 80.178740 76.919930 75.106414 71.519807 71.413097 71.744178
[3001] 73.848437 79.337887 77.585437 73.112655 74.151749 74.710516
[3007] 73.280205 71.350800 82.944773 71.370244 71.387610 68.159959
[3013] 69.056064 69.608594 70.942297 68.797468 71.623137 71.751898
[3019] 71.839710 72.596973 73.055377 73.159775 76.735797 78.141041
[3025] 81.030027 80.995894 80.016200 76.817275 78.076715 80.480927
[3031] 80.642538 80.523023 79.334843 80.554072 82.176040 80.684685
[3037] 82.329358 86.860598 86.165330 82.756075 82.595028 81.606867
[3043] 82.868723 83.751826 88.388360 87.962562 97.661501 97.522045
[3049] 90.108063 91.011705 87.530157 85.961551 84.782106 85.636255
[3055] 86.254516 83.276668 81.085218 73.373233 75.799903 70.560091
[3061] 65.355552 61.152482 57.662416 55.551048 56.694513 60.911740
[3067] 63.929777 64.963071 67.565657 69.203707 70.973331 72.373540
[3073] 70.895976 70.656463 70.516161 66.488521 68.696447 73.539414
[3079] 73.371742 69.831656 72.855584 73.010793 72.072047 75.342761
[3085] 75.482366 72.224428 70.783432 71.716104 76.685920 78.719846
[3091] 76.757189 76.990098 77.633551 77.304753 73.844685 72.707119
[3097] 67.494047 64.783654 60.609427 64.230103 68.911633 69.517528
[3103] 78.018242 80.682438 78.093793 82.442716 84.857839 83.810877
[3109] 85.790803 85.553696 81.164248 77.926717 83.051221 87.473158
[3115] 83.308665 84.389468 78.936176 78.856970 77.679486 75.499748
[3121] 76.336811 80.843901 80.136255 87.643501 85.523696 90.398514
[3127] 89.471421 89.059596 94.652571 94.427699 90.254844 95.953145
[3133] 96.277155 95.984873 95.265786 103.136203 103.316164 101.047416
[3139] 98.605530 97.620489 97.387202 97.041419 96.326903 84.237762
[3145] 97.197642 93.764825 82.621179 104.850708 104.220532 101.693323
[3151] 100.380135 99.092864 99.012924 97.498147 97.875662 96.115338
[3157] 94.640271 92.672114 91.519626 92.750186 90.191816 91.216690
[3163] 87.056396 87.401931 85.789142 93.937470 92.398315 87.698662
[3169] 93.074745 102.014448 94.441125 94.495332 92.917800 91.221853
[3175] 87.941916 84.888755 89.366692 90.657847 104.332578 94.856504
[3181] 104.933153 92.372155 100.271384 85.956455 79.918098 85.587444
[3187] 79.933933 81.389652 81.759521 102.106583 100.781540 98.057491
[3193] 97.592013 93.316470 87.920138 87.670669 85.356222 92.320429
[3199] 89.394182 90.740037 88.499927 86.334776 83.333146 81.131173
[3205] 82.343641 85.169762 89.328943 86.806160 87.952977 86.497197
[3211] 88.351003 90.716305 88.745526 92.613047 95.082711 94.721482
[3217] 90.035336 97.913583 97.059530 99.919444 100.712679 117.829074
[3223] 108.734695 107.025210 117.032884 110.249318 101.167661 93.517645
[3229] 88.526217 84.189654 77.199728 76.936390 85.264782 85.132121
[3235] 84.787992 77.278641 67.757681 66.583656 76.153803 72.264251
[3241] 70.815718 72.806164 67.646266 67.010933 65.975532 69.186036
[3247] 75.883446 72.614856 73.068856 76.594074 72.826919 64.078901
[3253] 63.382274 66.683955 63.375299 63.517848 59.860339 53.403884
[3259] 52.877777 52.600984 60.524111 60.354525 61.271669 68.282004
[3265] 57.238192 54.572117 55.180111 60.539626 69.844211 64.246892
[3271] 61.059849 61.064843 60.945404 64.893575 63.142655 60.894706
[3277] 69.296620 65.069095 63.412982 57.678041 67.865369 80.480389
[3283] 72.249855 71.437808 68.261224 66.736148 63.501824 65.798953
[3289] 65.658022 68.303915 66.870503 68.743039 67.322691 65.787043
[3295] 73.207243 69.243799 69.522466 67.997225 66.099440 64.243904
[3301] 63.394771 65.559802 68.941128 72.249522 76.233401 76.705090
[3307] 71.932813 68.838376 70.646695 72.108413 69.129459 68.877994
[3313] 68.549898 70.082299 63.747960 64.177318 67.495535 63.646451
[3319] 65.197700 66.156516 67.445611 64.776428 68.571576 67.638178
[3325] 68.161702 68.454207 67.336887 63.918102 62.193273 64.043060
[3331] 69.651554 72.045507 97.432431 81.564820 75.598001 73.510188
[3337] 72.088142 79.611962 71.601770 61.616575 62.501395 61.635568
[3343] 61.896602 64.640323 68.156250 71.600489 75.968145 69.449630
[3349] 66.271268 65.087385 70.471235 77.812674 80.646499 87.468613
[3355] 80.402943 80.741959 79.526580 87.616522 87.346784 88.882766
[3361] 92.307099 90.607980 88.993252 85.183205 91.796015 92.344358
[3367] 95.471001 97.172659 87.730027 87.259905 85.775834 91.908854
[3373] 88.177359 95.774722 86.116642 85.589052 85.239088 86.781328
[3379] 90.424657 93.095054 95.604522 93.999997 94.345027 91.512863
[3385] 84.901576 89.115016 84.703665 95.236231 92.057659 91.137282
[3391] 86.632797 86.393215 85.884541 92.995952 85.597735 94.232273
[3397] 91.459086 88.263593 85.005880 82.318198 83.166966 88.094819
[3403] 78.645088 85.726103 82.833467 83.170193 83.407754 91.013970
[3409] 83.570834 81.792733 81.929136 77.790956 74.288147 80.176769
[3415] 78.369136 79.871278 86.010701 80.443635 82.725328 83.181620
[3421] 85.624666 95.077285 86.389583 79.699518 81.359459 79.407851
[3427] 79.973416 88.245711 85.500824 84.325790 85.312797 87.866882
[3433] 80.624824 81.038799 84.009032 88.962290 81.426584 79.747922
[3439] 79.677888 78.910202 78.824526 80.289387 83.236789 100.992948
[3445] 86.408984 86.031409 88.893741 89.197148 84.992583 85.057114
[3451] 87.533788 86.901578 85.827667 86.851733 90.050060 105.323309
[3457] 96.306794 98.570359 110.585808 110.089695 108.441745 114.657646
[3463] 114.967017 112.793729 106.369279 106.864576 110.399606 110.354993
[3469] 106.805994 102.926866 100.325609 97.578366 99.164520 98.879960
[3475] 101.820535 98.605659 103.140397 90.988414 93.685084 101.286514
[3481] 96.706033 101.921792 106.124034 105.621645 105.297781 100.802420
[3487] 100.575266 97.763520 98.680282 98.788633 83.406765 91.170625
[3493] 92.277128 98.070034 93.032064 94.328137 90.367632 87.718490
[3499] 85.655175 78.815291 89.338473 93.868843 84.773730 90.051666
[3505] 76.936063 102.637266 87.878329 92.236882 85.103196 77.601118
[3511] 81.152970 88.172864 75.430267 86.756923 85.103472 90.267432
[3517] 94.017745 92.389150 88.641858 80.963975 84.707235 85.730027
[3523] 68.830822 80.955083 74.545216 76.057767 79.674620 82.664137
[3529] 88.666389 89.157978 87.881257 85.040848 85.233060 87.704330
[3535] 85.759200 82.521367 82.252363 82.029127 86.181392 85.227279
[3541] 86.569522 91.362952 85.640298 87.791890 89.855026 89.168573
[3547] 90.655358 90.473512 91.294673 89.322683 88.220389 90.076561
[3553] 84.971066 86.096280 81.567847 79.703329 86.867048 77.515795
[3559] 76.587360 79.807027 70.855009 78.420091 78.837384 79.557846
[3565] 72.474444 83.747562 79.170227 79.249468 79.143184 81.412111
[3571] 79.561968 81.694250 81.883538 81.714384 84.722499 91.756421
[3577] 91.155663 90.337872 85.907121 87.760042 87.960004 87.877930
[3583] 89.609969 90.051273 86.735109 87.735871 83.587333 82.177409
[3589] 66.497124 82.707739 81.380335 79.240678 77.355881 69.031367
[3595] 77.013665 79.667796 82.053915 82.913179 87.047360 89.231875
[3601] 83.694042 85.330770 83.185002 82.521306 81.599914 80.530359
[3607] 76.433235 64.628728 62.738311 60.878500 49.928658 72.957351
[3613] 77.300064 65.090228 48.204811 51.825811 66.391128 71.715209
[3619] 71.976288 70.162808 70.529235 68.566142 66.263010 69.779908
[3625] 78.303419 83.199665 89.711683 80.299398 73.051708 70.674932
[3631] 78.525646 78.030361 80.671215 70.732392 72.588938 71.890100
[3637] 72.139055 76.988402 75.842120 82.363960 81.820072 81.053229
[3643] 85.417581 94.381386 102.786538 101.678369 117.732351 124.582901
[3649] 120.483361 113.370969 112.618727 117.381855 105.165311 106.414565
[3655] 87.578602 87.548874 88.661217 89.931052 91.308223 88.527238
[3661] 88.029614 92.529520 87.478170 89.224279 86.441753 86.342712
[3667] 91.693906 86.814276 100.164791 108.146957 88.040991 87.476937
[3673] 88.796262 97.165781 100.817376 116.499202 122.499982 102.141859
[3679] 105.422656 106.839989 111.763404 112.335495 103.975454 112.782228
[3685] 105.211046 103.481457 97.705602 116.764074 107.870209 99.214225
[3691] 100.252122 101.363076 106.095754 105.543816 103.871448 114.667886
[3697] 110.437242 117.043395 113.378864 113.982218 117.117992 109.388747
[3703] 109.119004 113.447612 112.832271 107.574618 108.277727 109.640696
[3709] 113.231787 111.878484 107.709740 104.776567 100.233853 101.305515
[3715] 111.333896 107.569335 110.119752 102.751433 99.600779 95.046118
[3721] 92.250970 93.183038 87.623252 97.218365 89.201267 84.664771
[3727] 83.303631 81.851303 86.343414 69.932257 87.101896 88.224870
[3733] 87.243005 88.336313 90.741401 94.266751 103.474943 121.940782
[3739] 113.926734 119.462804 125.371056 107.089409 109.572686 104.072517
[3745] 104.542074 104.504388 103.701949 103.254667 102.473904 117.995732
[3751] 92.422984 87.873755 90.144285 89.930540 85.472263 84.740298
[3757] 74.649472 85.836760 85.504352 73.417278 70.255189 67.255265
[3763] 65.143830 68.790304 71.719037 71.238786 73.646840 71.608464
[3769] 61.063902 45.896815 54.158921 53.426306 63.857068 59.142543
[3775] 58.043717 56.055695 56.550841 61.190240 75.700640 71.457546
[3781] 70.584867 66.447408 53.690764 48.469598 82.826812 83.087116
[3787] 82.178130 79.714645 92.112669 93.286074 88.573091 96.803276
[3793] 92.402637 93.353114 92.295035 100.526892 97.624403 96.443000
[3799] 96.425946 91.047396 99.282755 100.252302 96.300738 93.777218
[3805] 94.225264 97.912051 101.994197 97.100654 103.136968 116.201672
[3811] 95.423243 91.771937 92.932247 93.676817 93.222501 91.505851
[3817] 90.467848 90.312584 92.511872 95.455926 98.176699 95.346910
[3823] 104.488543 102.049906 94.135623 94.490564 97.542936 95.485122
[3829] 100.126583 98.730956 97.474228 94.831276 96.476176 97.152564
[3835] 96.888467 96.051346 96.751045 94.140123 77.070233 87.177127
[3841] 95.527467 92.744269 92.804923 97.625420 93.068029 92.192383
[3847] 80.916419 88.710143 70.725615 80.452449 83.358313 81.154869
[3853] 75.753930 68.015115 72.998297 72.380578 71.394003 69.403943
[3859] 70.666806 82.233421 87.327658 90.846737 88.957755 99.991359
[3865] 90.242378 103.089661 97.010535 96.680471 98.550333 99.012727
[3871] 91.708008 92.268303 103.973985 101.841666 112.453191 107.257239
[3877] 104.439723 95.609985 99.715329 95.391670 101.506315 106.998718
[3883] 101.495397 102.588894 99.787109 93.309500 80.432242 91.901210
[3889] 80.711463 73.521719 70.300918 74.950386 76.934990 74.950393
[3895] 75.807293 68.858720 52.900193 62.497057 65.658445 61.319187
[3901] 61.808571 59.856285 54.573319 55.490997 61.855542 66.672233
[3907] 63.920044 58.739344 68.721434 62.389478 77.092754 81.988187
[3913] 81.744937 74.406818 75.968096 67.613445 49.689966 57.635255
[3919] 59.469319 50.181928 45.476793 52.795145 55.958710 47.420677
[3925] 52.253953 51.373374 50.548818 52.723431 58.667567 69.960291
[3931] 65.877817 79.311588 72.331813 70.402540 71.531018 63.865789
[3937] 54.339897 65.614980 54.896751 69.095550 77.971026 73.775859
[3943] 65.734085 58.129436 72.010396 72.535954 71.656529 71.261861
[3949] 78.170819 65.322489 59.053300 59.530577 67.718476 69.524071
[3955] 66.423605 47.775613 60.465427 61.860375 51.175086 55.624823
[3961] 52.613828 51.514763 53.279316 56.020839 54.861385 53.146461
[3967] 53.951822 68.129947 59.635444 59.613470 55.794011 54.616213
[3973] 54.481657 58.500451 60.813705 54.537685 51.691848 51.773484
[3979] 48.942840 43.374463 59.054940 57.613535 62.817503 63.520109
[3985] 61.858032 60.134766 48.465310 54.867197 71.264838 77.271549
[3991] 74.106217 67.239314 72.936091 52.757657 56.576525 72.933077
[3997] 76.667386 74.654336 79.362087 72.000706 44.239842 56.831324
[4003] 73.245158 77.418447 70.825874 67.161747 77.322500 63.221548
[4009] 73.184177 76.977634 85.547629 90.472005 69.584984 68.026795
[4015] 47.766776 69.374910 67.642694 74.045630 63.767149 67.589656
[4021] 70.483576 62.939377 67.703121 76.792013 71.426635 77.496861
[4027] 60.237912 56.681155 45.064791 74.132374 85.123376 87.317145
[4033] 83.817619 80.010071 79.959335 47.852278 53.726229 64.821026
[4039] 87.963195 76.163809 81.748813 75.616857 76.326547 79.596684
[4045] 80.633452 74.330118 73.648447 73.866766 65.894259 69.304009
[4051] 69.387998 79.249517 65.139795 77.151762 84.474771 81.536407
[4057] 72.777013 76.232784 84.526899 86.464242 92.788029 91.405134
[4063] 92.472813 89.837262 114.423581 109.759430 113.021749 102.810651
[4069] 112.448713 120.302984 113.812628 114.911772 118.508481 102.477879
[4075] 101.446965 108.514318 110.243504 110.971643 128.688130 123.693131
[4081] 110.937112 115.998802 116.181729 116.194406 110.829934 136.361045
[4087] 150.869764 149.379295 147.718180 153.368663 162.294474 170.650174
[4093] 170.008827 173.678343 183.683086 187.299284 186.550947 195.880429
[4099] 194.407078 191.300720 189.804631 189.792754 191.825272 187.840620
[4105] 135.888554 146.969360 144.997303 133.599211 162.403533 136.198658
[4111] 133.986934 121.949242 100.396154 113.662554 114.421563 115.081614
[4117] 116.159806 123.384938 110.054405 105.370200 104.078746 92.839726
[4123] 100.821412 91.751756 94.166842 100.473269 100.570557 101.277147
[4129] 115.064564 114.023388 111.199100 106.061074 104.914571 101.393403
[4135] 112.977583 114.305480 95.562860 83.077322 70.382094 67.201892
[4141] 63.168850 73.206024 76.479517 75.180159 76.727066 85.178729
[4147] 83.241937 76.983453 89.252814 95.381579 86.508902 90.658847
[4153] 92.450348 88.037394 83.890250 88.665170 90.481795 88.669482
[4159] 67.498298 61.984780 74.776861 58.401940 67.157533 72.809717
[4165] 74.214403 69.796684 65.725591 68.493065 65.510008 76.971721
[4171] 74.854001 75.185522 74.211436 73.678990 72.449281 71.791279
[4177] 64.767792 70.909755 70.244950 66.858764 67.802846 66.134795
[4183] 65.546370 64.485326 67.401423 73.130190 77.710159 81.620104
[4189] 88.210625 95.483377 96.750624 97.039156 100.886866 106.851744
[4195] 108.898332 109.694355 108.825616 104.402601 106.922781 105.863479
[4201] 103.134837 103.298832 104.039405 104.938322 94.036572 108.626115
[4207] 107.809869 105.825819 124.761304 114.198068 112.167183 115.218955
[4213] 112.309953 105.303470 113.924233 118.041325 114.907793 115.891870
[4219] 119.545471 116.570069 119.665836 125.529800 121.506752 122.602017
[4225] 121.610047 119.020078 120.712902 122.032011 118.506669 124.362383
[4231] 116.288080 121.733141 123.996331 117.995109 123.917888 118.956732
[4237] 123.759443 125.394907 119.571673 121.038525 119.838624 118.541609
[4243] 117.877499 110.610084 122.111508 117.476688 109.574249 119.253586
[4249] 117.414567 119.230693 109.286546 113.039502 115.785467 118.122412
[4255] 97.766950 117.342120 113.086993 116.149063 116.610865 113.140712
[4261] 114.352059 115.951102 106.803945 117.404927 111.172220 114.844006
[4267] 111.704568 104.805862 94.927128 95.029106 107.069478 107.593868
[4273] 103.904916 105.750073 108.414139 109.099308 107.714090 103.605602
[4279] 96.569487 100.175298 95.997948 98.537773 102.102107 102.118372
[4285] 102.326197 102.001322 101.880406 103.488924 109.893191 104.464854
[4291] 102.555550 101.325063 102.582959 101.150599 99.369636 91.439954
[4297] 101.111735 100.526121 88.372284 95.546060 97.347680 94.276747
[4303] 96.782213 92.516385 92.847723 78.029697 89.808872 87.679980
[4309] 86.169051 85.133391 86.255779 89.307870 78.780864 80.421048
[4315] 83.082836 73.297967 78.438714 78.913390 82.791280 90.381155
[4321] 87.327539 86.539342 80.533098 80.573012 82.466533 66.018576
[4327] 88.197388 85.824977 81.397216 71.795455 78.232002 65.920438
[4333] 69.237530 78.567407 76.962786 65.189286 73.850481 73.762389
[4339] 78.731917 76.279747 70.886163 74.434330 70.876355 66.908760
[4345] 72.402452 70.510294 74.647974 83.672431 94.417830 94.800870
[4351] 99.087278 91.108935 85.250935 74.837133 92.716639 96.751721
[4357] 100.810990 96.688651 97.075055 96.873270 93.304321 85.220486
[4363] 82.152271 69.539799 71.787038 83.066880 90.566322 87.691539
[4369] 88.882482 76.803434 81.784064 71.646192 72.290787 71.951264
[4375] 77.107927 70.723495 76.146389 80.617830 82.287391 84.666190
[4381] 90.069397 92.615271 88.759933 90.531825 94.574354 96.540651
[4387] 98.433315 99.126700 98.387184 97.980733 98.199698 100.255724
[4393] 99.801722 96.601086 97.217767 104.907810 106.888129 112.081748
[4399] 118.354031 118.676162 117.589340 122.061490 115.112026 105.829984
[4405] 105.016278 109.320294 96.819991 100.922807 88.079235 89.970730
[4411] 86.910388 73.716174 83.565669 81.710652 72.375593 77.266818
[4417] 84.707704 85.782405 80.003925 79.917505 72.366611 78.283052
[4423] 80.534321 80.167102 70.732167 73.710620 73.809286 66.714746
[4429] 82.937099 75.185164 81.142560 85.394138 99.469219 89.392566
[4435] 84.964396 83.239073 78.063029 87.580194 83.141771 79.813394
[4441] 65.466838 76.629178 69.635215 80.645067 83.317353 88.166001
[4447] 73.089869 75.490053 77.490635 76.178128 80.170302 87.184080
[4453] 88.908167 82.093774 85.297094 76.036401 88.998100 97.861354
[4459] 99.023741 104.706396 115.105271 118.487254 96.622802 119.430232
[4465] 110.086969 105.727068 96.680288 96.424384 96.337934 91.531341
[4471] 91.823287 91.631789 79.759413 88.442241 84.568802 81.741870
[4477] 80.746678 77.832553 72.947310 72.144984 72.688539 74.770573
[4483] 71.965271 66.407139 65.496091 55.717088 49.184286 58.350455
[4489] 56.630339 52.348743 54.619003 54.506127 71.615352 71.195841
[4495] 70.355167 73.006540 53.502633 45.181082 47.545806 66.692281
[4501] 64.502376 66.348379 72.652309 70.239236 62.408246 68.687600
[4507] 67.549489 73.943813 67.383122 68.162912 67.492966 62.847288
[4513] 78.699634 91.965245 97.178273 93.229585 88.904832 84.709267
[4519] 79.450355 87.067125 86.794702 90.975845 96.391734 93.153625
[4525] 93.394766 94.732281 100.484323 102.138145 100.622724 99.582946
[4531] 100.025811 99.850189 103.078164 105.963815 109.815629 106.637948
[4537] 90.137996 93.063243 97.150173 91.649582 95.618959 85.417864
[4543] 82.366227 73.558081 78.942929 78.069834 73.901721 72.826072
[4549] 73.354691 80.601190 84.310044 96.059156 100.200291 103.792424
[4555] 104.282044 105.316907 106.695998 107.874824 97.084276 103.188577
[4561] 103.844582 102.703373 94.582147 105.645449 106.719645 105.152820
[4567] 104.721790 107.321233 111.925357 111.454993 105.730996 111.944804
[4573] 110.788410 110.302145 104.277492 109.164279 93.689392 105.251940
[4579] 98.166948 102.310460 94.323249 93.538632 97.431571 106.030827
[4585] 109.779026 114.899508 122.713090 125.345123 127.373062 131.947724
[4591] 130.883713 123.131014 120.692397 120.178193 116.479193 113.369690
[4597] 107.548221 98.837570 82.835423 95.815282 81.738457 95.597734
[4603] 88.450391 95.331925 102.216271 94.907957 96.757066 97.640975
[4609] 104.140048 96.457374 96.765728 107.825219 100.500025 98.570304
[4615] 97.387219 101.861152 80.892443 96.965702 97.069953 81.853809
[4621] 79.891079 89.550759 85.879797 70.046985 98.969533 89.405452
[4627] 89.890370 88.144834 84.367696 94.448420 62.815073 98.485208
[4633] 102.620482 102.777497 102.863333 108.137533 100.065363 97.742641
[4639] 95.441426 96.866550 95.977249 92.516544 92.310907 99.358927
[4645] 97.307865 99.156139 100.405926 99.494671 97.804405 100.225864
[4651] 103.581201 87.991452 106.088897 100.736080 104.667374 116.081584
[4657] 120.888218 121.552180 84.013558 119.182302 124.097699 128.902857
[4663] 117.313798 127.595633 137.379164 143.828593 85.038903 88.733237
[4669] 114.395562 99.529317 116.129129 119.995994 100.357711 94.722803
[4675] 121.491485 108.287892 99.676133 108.422679 116.989458 96.835234
[4681] 99.525927 101.418401 115.397625 118.773426 115.027927 114.712008
[4687] 103.754740 117.252676 115.970474 105.303028 101.504503 109.528208
[4693] 90.645458 96.139674 41.853864 87.905151 67.434100 66.238493
[4699] 66.682022 62.749725 77.960873 80.967881 97.420373 99.852680
[4705] 84.695155 86.128043 88.567090 91.646737 81.870711 80.913549
[4711] 83.640594 76.023714 79.569981 76.567045 70.339782 77.147871
[4717] 86.154103 87.347071 78.105143 74.140429 61.902804 56.815638
[4723] 97.688053 76.982892 89.537260 59.191548 70.699360 44.142374
[4729] 46.775292 63.953198 68.319013 68.135863 64.226740 56.858279
[4735] 44.453133 38.411083 58.975577 61.936163 49.056050 52.859809
[4741] 57.958529 59.990191 48.783001 52.750849 51.967871 61.719259
[4747] 72.067797 57.239613 48.213271 45.888087 63.944851 63.492866
[4753] 81.550134 95.803982 94.266600 65.940994 49.538903 90.578102
[4759] 82.619916 79.319698 80.125747 74.093181 53.648676 46.239577
[4765] 86.360238 90.355505 94.840371 67.305980 100.700198 76.781224
[4771] 56.477769 88.896942 92.191078 89.184971 82.379910 76.536334
[4777] 72.459979 54.115935 57.455510 70.430945 77.822622 93.575486
[4783] 79.321681 68.375152 57.993383 65.260547 70.370593 73.855650
[4789] 81.586226 76.505254 60.737801 52.096981 65.854227 63.985679
[4795] 58.045873 50.524118 48.763610 53.784328 61.675141 77.951244
[4801] 81.265407 85.828736 86.123951 88.203581 83.822239 76.950294
[4807] 95.195173 85.910254 84.121164 82.943157 87.885959 84.658974
[4813] 82.223585 74.839001 95.250635 95.857811 104.379859 111.858160
[4819] 93.158133 85.038687 107.824738 91.315263 98.532553 102.403714
[4825] 89.758448 83.064499 69.721304 81.965960 100.989308 91.211065
[4831] 91.314072 71.372146 66.384960 63.197950 58.506493 63.323771
[4837] 75.916636 74.815153 62.250515 71.333947 55.741749 79.596899
[4843] 96.679944 98.912305 102.796626 105.486825 96.592324 77.735992
[4849] 95.503970 93.374182 90.889157 102.674661 79.580666 86.565998
[4855] 75.231970 72.909130 81.223439 78.068640 76.888272 81.871769
[4861] 93.405983 90.214794 126.199366 123.524374 121.883282 126.381369
[4867] 124.206207 104.337177 95.113068 99.218489 114.874949 90.831099
[4873] 109.995685 91.556907 73.833377 54.733477 82.719930 78.711331
[4879] 64.541580 66.338378 59.782804 47.020581 39.755843 56.895320
[4885] 80.340590 106.081932 99.032262 109.581361 53.766028 49.607228
[4891] 47.417705 76.916578 72.579238 72.483718 79.247457 94.520949
[4897] 72.721675 95.571519 106.527162 104.762711 100.114352 100.022343
[4903] 105.135459 107.352930 140.108671 149.139879 150.891315 109.439756
[4909] 144.692323 157.908229 168.359016 174.273956 182.825391 174.467700
[4915] 161.894076 135.724779 132.016623 144.718409 130.407509 139.614447
[4921] 135.955085 133.209221 132.555918 132.470481 132.318510 132.725718
[4927] 128.792686 133.949565 148.864860 144.370993 133.429265 133.111150
[4933] 132.421791 120.486851 115.457580 119.640282 129.463713 127.734430
[4939] 114.764255 129.991656 134.347390 125.051288 134.640711 134.731599
[4945] 131.438612 120.173060 127.058170 123.110511 123.313931 125.367222
[4951] 127.026601 125.027162 132.190897 145.652887 135.231047 132.983384
[4957] 131.639369 130.338232 127.113923 122.870564 120.484249 126.382851
[4963] 110.326788 107.788954 109.782593 101.150772 104.157891 102.133464
[4969] 99.568554 127.586823 117.273630 116.923032 116.084439 118.135822
[4975] 136.382549 121.169336 118.841671 103.166392 108.951066 117.545319
[4981] 97.123339 101.712568 100.869912 108.606013 125.636689 124.561260
[4987] 128.065980 114.420285 117.430893 129.063242 136.419029 109.886918
[4993] 107.944846 107.258968 96.383477 93.994358 81.462663 95.477416
[4999] 90.267483 91.009170 83.368486 68.097982 81.564291 83.266358
[5005] 89.831894 92.171592 86.212654 77.991919 75.434505 80.194660
[5011] 88.441808 87.825111 74.503807 71.923820 73.688423 72.597522
[5017] 76.700354 79.819493 76.805168 85.279990 76.855493 72.637601
[5023] 74.628620 82.039954 92.106154 95.056282 91.191460 96.807610
[5029] 99.650924 105.550327 111.329335 117.221932 102.442115 106.009635
[5035] 94.789142 87.353543 87.536601 108.184768 112.254137 108.440352
[5041] 108.822907 97.679122 91.629408 98.290196 105.663160 96.358541
[5047] 99.491228 95.823565 108.290538 106.965311 108.757505 126.683263
[5053] 139.670340 128.760472 133.772314 138.781875 135.656548 125.825677
[5059] 127.344289 126.043487 133.437296 137.588997 146.885477 135.389499
[5065] 127.016047 141.816901 144.774239 154.245278 162.573159 162.047899
[5071] 122.699271 115.010084 120.886794 120.545677 121.401517 125.657972
[5077] 118.330310 101.290464 100.798896 95.150331 98.012595 99.983282
[5083] 103.082549 106.890569 112.236042 121.775082 124.243343 134.699845
[5089] 131.360548 136.050372 132.018284 127.597669 121.819039 112.052475
[5095] 115.626327 125.052186 124.823696 122.059912 114.071519 106.712405
[5101] 118.089950 120.393936 116.541729 111.567074 82.988130 108.043041
[5107] 109.109490 119.020481 117.400080 121.764523 119.552507 124.323569
[5113] 119.514886 129.261111 128.718895 155.587404 131.091082 122.598923
[5119] 122.036238 122.340991 123.491196 143.832265 150.969843 134.390784
[5125] 133.306665 128.780330 131.389905 123.158727 126.139808 143.316422
[5131] 142.625612 128.312170 135.069984 132.703260 119.714821 114.702488
[5137] 122.884033 129.826329 121.800852 120.828390 116.545552 117.131343
[5143] 112.221160 115.748478 112.816398 115.082789 130.454577 116.143952
[5149] 117.871011 125.297092 148.720942 121.418723 119.552795 121.228530
[5155] 137.717573 126.949758 125.847523 122.528898 136.937409 122.755390
[5161] 120.109853 117.933111 124.297846 147.413946 131.401789 171.714020
[5167] 172.352344 175.396760 160.141215 189.397901 190.764321 184.802797
[5173] 186.074294 186.244209 200.649810 179.119462 178.677248 192.349859
[5179] 175.045369 206.112593 199.666146 203.107745 207.216657 221.893068
[5185] 236.439133 255.125587 257.351909 258.139763 250.127875 245.842043
[5191] 239.641289 242.926421 235.866725 231.671860 240.376554 235.447102
[5197] 197.285642 195.094869 191.198921 174.315070 171.213652 158.326349
[5203] 155.775666 158.834874 156.051806 142.103121 142.259644 152.149963
[5209] 130.232337 139.858781 146.453150 132.078872 149.195912 145.469128
[5215] 163.121088 155.603167 154.977099 138.204488 124.347706 141.218376
[5221] 136.949613 137.660325 138.746903 126.874142 138.344280 132.759835
[5227] 133.606185 141.826024 132.064738 139.361864 137.990009 140.941963
[5233] 141.190504 135.342853 148.130865 143.885098 139.781195 152.510358
[5239] 162.035018 161.687249 160.467580 157.308393 183.424753 184.843614
[5245] 198.373295 163.259077 169.492929 184.661757 190.223351 171.512950
[5251] 161.815126 177.158243 197.857449 202.165487 204.034603 201.260743
[5257] 230.357053 212.401486 238.152914 241.539517 219.132401 252.825063
[5263] 210.859673 261.141601 254.055972 217.145885 253.511530 201.970374
[5269] 246.918838 161.272804 186.963245 120.366024 144.470867 138.457471
[5275] 122.878195 116.411041 132.561109 126.695042 135.331717 118.132898
[5281] 116.140657 118.726166 121.445720 118.189939 123.308951 128.079791
[5287] 149.827700 148.405824 194.556882 195.491905 169.627446 173.413180
[5293] 185.179388 164.295788 164.985424 161.753676 170.080421 155.906486
[5299] 164.228866 144.846622 141.952015 152.494191 150.143895 156.506350
[5305] 149.352835 143.250199 139.136473 128.253929 142.638750 121.297456
[5311] 127.155079 129.840366 124.052399 125.892501 126.752583 155.192186
[5317] 128.303744 150.845405 167.720720 139.588815 135.518971 156.490859
[5323] 170.027042 168.345606 225.085548 224.271260 237.186415 192.989593
[5329] 178.840803 214.607157 237.640311 238.519495 223.079688 219.144853
[5335] 232.108261 223.528393 219.384646 192.079008 197.570244 180.557438
[5341] 203.441389 209.232973 188.558817 185.618683 175.891630 213.737946
[5347] 197.638708 183.988560 185.809602 179.151818 175.230266 164.166221
[5353] 159.020228 175.418851 183.555476 189.931574 200.650660 185.234091
[5359] 154.844409 161.984246 161.042925 155.892130 151.018895 157.810537
[5365] 156.405527 174.680830 180.175613 216.944714 222.397443 236.234342
[5371] 217.650641 219.614658 209.879590 188.555255 151.762181 150.222146
[5377] 147.181964 148.551311 149.617703 187.921855 237.183647 239.044991
[5383] 231.106542 241.582320 242.496723 242.702740 223.072535 153.651267
[5389] 148.198768 149.930907 141.279583 147.869063 163.945501 169.854985
[5395] 165.193391 159.461804 166.044695 171.680897 157.688700 153.097308
[5401] 148.851146 148.849224 144.266999 146.471737 144.269107 168.294453
[5407] 147.576348 140.655602 146.173076 144.599312 139.892632 144.946972
[5413] 139.645501 141.181762 141.130148 140.797317 152.571858 165.363483
[5419] 141.168972 143.578526 156.432069 142.068575 148.616522 132.698223
[5425] 133.283528 138.190156 138.096211 128.919756 132.041146 133.035752
[5431] 127.476211 124.568383 117.544767 75.444845 66.485286 70.897243
[5437] 69.786753 83.246309 85.112563 92.785495 86.045889 74.579634
[5443] 66.886564 68.314130 81.383448 74.600204 77.888907 69.093221
[5449] 69.468664 69.652514 98.576603 102.258893 103.753038 90.963624
[5455] 98.579670 98.561701 85.584950 83.294614 103.251520 107.406272
[5461] 93.541835 82.423310 82.402650 81.662768 84.498151 90.736092
[5467] 94.054323 84.750268 77.582812 85.788826 84.385819 75.728571
[5473] 88.264007 86.329748 79.469875 81.908684 76.264995 73.370869
[5479] 72.025183 66.734754 71.889963 69.362648 70.662861 68.046819
[5485] 71.788753 78.387326 81.535179 79.478518 80.692513 73.717791
[5491] 73.708307 69.876404 65.257192 75.367756 67.372477 59.635733
[5497] 63.319991 64.443441 61.049163 63.807679 68.935058 75.116599
[5503] 86.439994 78.140174 80.638465 72.986666 72.790414 70.590822
[5509] 81.967269 92.190808 85.461259 84.137932 80.807012 92.635847
[5515] 92.956646 100.692455 99.410334 98.631690 97.790264 89.760243
[5521] 107.051528 117.669763 122.348191 113.883968 97.815367 94.961893
[5527] 93.938992 109.030334 96.105278 93.229473 100.784915 89.424477
[5533] 87.908745 87.921367 88.924007 90.110572 100.219915 99.928870
[5539] 103.784665 102.329311 91.851183 112.400418 104.996234 120.944388
[5545] 129.202347 136.605066 117.792093 106.713691 119.112524 133.580791
[5551] 141.097962 137.643824 120.957181 114.245801 109.888186 134.967880
[5557] 125.744758 151.137283 155.079545 137.682708 123.870064 115.303101
[5563] 149.128997 137.593133 134.782436 125.102776 144.170121 139.435381
[5569] 129.264156 130.089541 148.194053 136.070675 125.469448 124.453194
[5575] 123.755519 120.786641 138.381120 136.015802 134.254631 124.953821
[5581] 126.338519 122.891671 114.903772 117.540347 115.184614 112.142329
[5587] 110.986628 108.908683 109.267429 108.170094 110.942830 111.983847
[5593] 107.439070 106.247394 108.527620 93.302881 85.908072 82.367383
[5599] 74.258136 69.849507 70.448850 63.556523 62.620743 48.079084
[5605] 67.486202 74.484638 89.519146 87.670747 87.807403 73.467364
[5611] 43.435804 68.706726 73.441269 71.520259 67.683978 57.202393
[5617] 49.420098 41.202764 46.912814 48.058655 43.368928 47.835555
[5623] 43.155659 65.601935 38.247798 57.443908 75.002987 76.984306
[5629] 84.237281 75.046827 67.214023 46.906737 67.922389 74.659398
[5635] 72.901328 73.654078 62.921607 61.693387 63.279063 76.593881
[5641] 86.217116 85.366462 75.417540 67.421466 63.688921 57.105666
[5647] 78.647414 80.125571 75.146661 82.772218 68.511742 76.345296
[5653] 63.298076 62.683155 68.440328 63.328237 58.061273 61.179628
[5659] 56.401472 74.808614 84.911340 95.141289 96.662414 93.912110
[5665] 88.919506 89.555770 94.381117 115.792353 118.340633 120.775911
[5671] 115.238027 115.547626 103.070606 100.139244 99.898797 116.591758
[5677] 113.280238 122.511866 121.087132 108.006136 107.144661 106.415980
[5683] 104.923566 102.994990 101.381553 99.622670 101.123838 99.656105
[5689] 98.837008 97.376109 87.892530 85.773001 96.721526 85.898565
[5695] 86.939438 90.885003 92.766275 89.607474 93.028781 97.275853
[5701] 89.166837 91.511442 90.796376 83.380385 82.624467 86.365710
[5707] 79.617360 75.745291 75.883480 83.648121 83.391576 79.712044
[5713] 77.857811 74.375656 72.800480 76.592162 81.322131 81.180213
[5719] 82.014504 79.822926 73.542842 71.263201 72.906312 78.703784
[5725] 92.108462 74.374319 65.448605 61.774245 53.850337 43.183651
[5731] 64.730518 62.880919 65.573782 74.460137 79.493913 78.620107
[5737] 74.647754 84.781396 87.854436 104.379099 106.362108 104.175647
[5743] 104.129382 97.215724 97.959875 90.969545 76.639811 67.502339
[5749] 60.272349 39.034921 34.988917 52.010736 57.489681 50.581395
[5755] 37.876588 33.697179 32.986592 36.046398 58.866274 60.504251
[5761] 63.323696 61.098725 61.266042 60.849565 46.014942 55.483778
[5767] 46.524620 60.757221 60.321492 59.986146 55.045461 37.819901
[5773] 55.928897 65.984255 68.671893 69.405745 65.746543 62.352740
[5779] 42.240506 59.567904 58.413802 54.714776 57.602979 57.402455
[5785] 54.057252 43.626326 55.347976 54.411644 49.812810 54.377450
[5791] 55.959590 40.225823 36.092362 60.239670 44.672447 52.200701
[5797] 55.127310 47.414950 36.401458 35.093159 46.429864 61.520912
[5803] 66.404010 66.939597 61.264616 58.257756 56.146079 73.042279
[5809] 69.477245 66.820598 70.684284 69.038192 58.253703 38.159882
[5815] 56.365934 59.815703 67.243859 63.102774 57.474868 50.969604
[5821] 40.748468 37.963508 59.292533 52.307311 39.188734 38.699222
[5827] 37.975767 35.773985 40.073402 39.861738 43.686574 43.954313
[5833] 47.382690 40.744693 48.323385 47.319192 67.351946 65.988951
[5839] 65.481096 67.653671 57.827408 53.021482 60.404753 57.545476
[5845] 47.849364 59.823964 61.782522 65.738285 44.161027 51.848993
[5851] 54.058978 60.718864 56.891434 52.189447 44.803297 35.397637
[5857] 59.310926 72.725015 70.753258 67.282658 66.682782 75.789661
[5863] 81.780043 108.020915 102.686635 100.780682 94.156863 107.002483
[5869] 106.009785 85.514992 88.945527 106.597065 92.115523 80.463090
[5875] 60.925105 78.048022 60.138422 73.645497 79.512048 74.528803
[5881] 80.352136 75.743027 75.078743 68.845691 85.167712 91.605346
[5887] 83.957631 109.128836 89.411780 77.879506 74.352390 92.638744
[5893] 89.670876 95.851290 104.543682 86.523163 82.765672 80.531983
[5899] 78.706757 98.181570 84.585889 90.439561 86.332087 83.829270
[5905] 80.370957 85.298528 91.862960 91.184796 87.445785 88.088589
[5911] 87.904621 72.047123 85.776441 75.735557 75.768098 75.733966
[5917] 63.660710 54.134592 52.140895 81.193237 85.515509 94.879901
[5923] 107.852571 99.421846 94.658903 70.583223 79.322755 99.496219
[5929] 72.420944 64.103603 66.370964 57.725066 41.318843 48.458271
[5935] 54.804531 51.079166 57.895324 56.478804 59.307946 49.876967
[5941] 67.339352 76.317279 71.366863 75.893432 71.575915 51.021540
[5947] 34.831513 36.213384 58.351969 58.846813 72.868202 79.545371
[5953] 61.144932 59.901717 57.808901 71.686316 68.181904 69.117206
[5959] 80.083355 67.199344 54.675333 52.019944 70.812598 76.643856
[5965] 70.893467 73.261499 60.500226 47.623221 73.137464 63.504379
[5971] 64.091743 70.146102 49.789300 61.362209 46.056808 68.413070
[5977] 72.206952 68.772566 61.885691 66.906682 46.533647 41.959768
[5983] 52.683714 51.772203 52.503896 41.177348 43.216492 41.643253
[5989] 39.898063 46.997240 58.454991 57.982800 58.948136 61.721748
[5995] 45.912786 42.085406 43.969118 49.248834 46.395398 55.845328
[6001] 52.476674 42.085585 37.768016 53.519555 63.286058 61.550645
[6007] 63.230908 56.433099 48.971205 38.644230 49.806370 53.661773
[6013] 52.213305 53.154880 46.280803 47.141717 42.505654 46.397747
[6019] 52.401867 51.579675 50.855276 46.028260 46.968543 40.799634
[6025] 47.911660 61.657172 83.355908 79.087456 37.974529 41.173365
[6031] 45.619201 47.554773 46.887539 55.333043 54.053696 46.409547
[6037] 37.442945 37.051260 39.981849 37.373659 38.925927 39.663760
[6043] 42.097347 42.807444 47.155359 45.033854 40.678474 41.510037
[6049] 41.280482 40.316019 45.480681 52.157294 64.025128 70.210855
[6055] 71.864055 73.129430 73.427153 74.134243 73.022997 73.762288
[6061] 99.428282 111.617382 101.734705 94.633744 104.859849 92.873992
[6067] 120.098664 125.583824 121.223078 121.823510 117.512416 113.071312
[6073] 116.197138 130.189741 128.037993 128.775846 126.038971 126.152389
[6079] 122.830435 120.652549 125.394725 122.681459 120.931198 125.744368
[6085] 124.664847 119.725826 117.230116 115.891516 113.105641 110.687074
[6091] 100.708910 94.192792 87.196960 86.236260 77.186356 74.377085
[6097] 65.997307 62.600291 77.263987 62.879058 54.000569 65.354572
[6103] 62.395929 56.680713 38.951481 36.209501 46.095266 35.516814
[6109] 47.085848 43.460715 37.882894 46.613881 51.126322 43.354885
[6115] 41.715555 54.861184 53.481036 55.744255 64.171691 56.113963
[6121] 60.943782 54.648838 76.846162 82.822209 62.363783 48.128661
[6127] 44.930825 39.020730 36.821447 45.377446 35.243547 42.569003
[6133] 42.194593 50.941232 41.132990 43.398547 41.197487 43.110950
[6139] 44.155952 46.256124 42.577124 35.567796 34.578724 40.524099
[6145] 46.337953 49.183381 43.111552 43.328541 36.098963 35.118786
[6151] 35.826895 42.540710 44.916392 57.550311 48.587350 36.188958
[6157] 34.700779 42.098540 44.561452 43.257200 40.897181 35.980027
[6163] 35.511000 35.886062 40.957270 45.936165 96.228737 76.800908
[6169] 70.577520 90.470366 89.528512 96.552838 111.452389 115.149104
[6175] 113.700851 113.049473 102.978071 91.501045 78.487052 80.380017
[6181] 78.698775 78.753461 75.141779 68.683381 63.527101 70.767353
[6187] 66.591209 79.908237 88.524745 89.947678 73.131909 70.007705
[6193] 69.965220 73.797235 63.549840 69.668884 69.709936 59.648892
[6199] 49.866460 58.705366 64.816401 67.037813 63.060751 60.860618
[6205] 52.306194 49.542526 57.273991 59.490948 77.103587 78.936921
[6211] 66.145944 53.757632 41.395034 57.054947 59.180546 69.825931
[6217] 91.039621 114.059922 102.668239 103.956875 121.930715 108.642095
[6223] 132.945804 124.285597 115.071034 126.443364 107.679758 121.246766
[6229] 106.630672 118.387282 121.315736 131.425961 132.660061 128.663647
[6235] 155.062346 151.809961 139.178602 139.759229 126.648605 119.802699
[6241] 108.670619 107.706168 115.948252 113.827511 114.152165 116.867065
[6247] 115.631512 118.017607 138.456077 134.835103 132.311963 133.144485
[6253] 157.091278 126.352107 115.835043 119.694417 124.468275 126.925305
[6259] 146.319282 137.776641 141.008800 136.977657 140.468649 149.956650
[6265] 143.405237 146.912622 157.733570 142.222663 152.071309 173.425901
[6271] 192.742182 175.301183 175.716298 195.815284 171.954685 174.323721
[6277] 197.414831 200.703643 206.286642 193.939910 230.175654 217.412202
[6283] 219.100409 232.742422 236.994229 229.560120 221.424511 227.761265
[6289] 213.173287 201.319979 210.158159 172.317563 170.559463 188.485800
[6295] 179.830700 180.758538 183.592802 185.891424 193.677493 193.212824
[6301] 177.753437 172.108127 161.669140 166.465369 147.166969 143.163232
[6307] 145.513221 130.379176 130.614532 119.984004 123.375262 144.552508
[6313] 152.222248 155.996651 164.896067 163.574468 156.372778 173.900984
[6319] 155.732164 161.750080 154.644351 161.700793 156.282436 155.196792
[6325] 150.468449 154.890861 163.929040 166.951952 162.512252 154.246526
[6331] 145.264940 130.862558 129.814729 124.558095 120.890081 125.837712
[6337] 130.230456 129.881293 117.557605 144.003810 136.192192 156.701456
[6343] 162.290335 171.124831 149.409800 139.366181 144.994679 160.920978
[6349] 165.165311 152.715991 161.143459 153.225564 159.603995 162.687244
[6355] 158.175244 158.131722 171.604333 175.007261 178.351912 180.032067
[6361] 181.785682 188.053434 183.722762 179.550450 173.095240 171.389701
[6367] 163.578380 163.850982 149.836752 165.296307 148.500923 141.471553
[6373] 137.748379 142.262684 142.175457 143.023569 170.355449 163.548718
[6379] 167.748728 159.286867 155.742693 156.372673 156.396355 135.895243
[6385] 162.299022 166.484686 165.163796 168.413192 171.614079 173.471066
[6391] 172.015414 169.367497 170.716792 167.842010 170.673089 172.310018
[6397] 163.609957 163.806922 169.847595 178.548307 165.983639 161.524189
[6403] 169.257686 147.044711 164.634174 183.820870 182.664880 194.544684
[6409] 206.114830 214.604454 191.221553 186.155495 196.267616 176.901728
[6415] 176.229851 184.379479 174.230401 145.985362 165.535998 158.465278
[6421] 156.574152 148.757840 143.364238 149.333888 131.898419 147.879739
[6427] 142.053199 139.881495 140.468526 134.389910 130.844576 137.221773
[6433] 130.893865 127.840330 136.016414 134.757379 129.076288 139.237942
[6439] 185.881380 158.766139 156.316485 130.749887 155.089395 152.146697
[6445] 148.230818 135.530607 126.170294 132.553446 124.896681 108.232386
[6451] 114.014143 109.626910 111.642922 114.418925 85.319245 105.480983
[6457] 94.863775 72.425605 83.979924 102.385578 86.601016 88.283777
[6463] 94.385548 122.147261 142.806985 139.442125 153.344762 155.941739
[6469] 158.214007 160.761697 159.391922 182.369494 176.027618 195.327133
[6475] 198.576971 214.319020 243.832676 229.619413 264.839138 257.427996
[6481] 249.323279 239.985549 229.120333 225.758234 217.224435 206.384783
[6487] 169.272020 135.133062 127.152937 131.288759 144.267708 143.605917
[6493] 141.495115 141.534341 145.381141 134.704314 136.080250 145.198576
[6499] 146.815665 145.709341 141.742979 130.488753 140.704467 133.828412
[6505] 136.617708 153.022589 135.147343 140.885210 149.327857 160.003041
[6511] 147.890141 136.883855 133.346738 121.431773 123.030392 116.698390
[6517] 120.701806 95.593904 107.177618 103.107741 48.095329 99.300521
[6523] 88.296999 98.250513 76.703648 78.998609 71.049362 95.287105
[6529] 102.178132 135.412263 117.165887 115.424317 116.611828 109.396722
[6535] 114.353128 121.657329 116.105769 134.546159 139.982774 120.892308
[6541] 122.978484 118.737676 112.995323 119.913954 107.942316 121.828560
[6547] 129.274129 128.329788 135.369703 155.447808 174.665407 168.732284
[6553] 161.803449 160.202535 143.168626 107.556406 129.417652 151.082332
[6559] 158.623679 158.293476 169.520619 190.885411 218.699802 271.424019
[6565] 260.166857 255.383543 253.522083 255.367446 178.188849 176.167577
[6571] 198.342780 171.940475 169.606470 194.949075 174.317593 163.178267
[6577] 163.752243 197.324454 192.581862 214.461809 217.991569 209.005786
[6583] 246.885020 269.587406 213.141312 199.026157 192.418535 201.648525
[6589] 175.357368 165.933089 152.848911 145.074398 134.989670 135.568419
[6595] 165.803769 166.007591 166.620381 155.586823 143.581962 124.278597
[6601] 122.767312 118.422520 138.621661 143.467060 120.910484 119.208041
[6607] 121.653206 106.234820 108.413305 120.813016 115.723388 102.405933
[6613] 113.733620 93.635763 91.903236 82.058795 117.850682 129.671780
[6619] 122.203169 140.703230 129.095293 126.315778 121.900358 116.801554
[6625] 105.428252 91.311518 118.357474 125.927463 131.476300 126.796137
[6631] 137.982769 133.518209 121.568404 128.121091 136.573709 140.044375
[6637] 135.152801 119.112941 104.442228 103.473593 121.030343 146.407678
[6643] 142.686524 138.745573 133.335701 133.531827 131.975971 129.872191
[6649] 129.304788 130.444073 149.585298 136.977663 134.728768 107.606891
[6655] 150.919029 148.428076 154.713064 143.583923 143.499823 149.934743
[6661] 151.992266 158.294304 155.109428 170.687667 167.312371 163.683819
[6667] 162.235175 177.203954 176.210379 227.478887 231.388599 232.609097
[6673] 236.522439 242.481846 228.606038 256.253747 271.893213 271.355374
[6679] 264.579089 254.908389 247.582846 244.014802 251.142508 252.786081
[6685] 258.408317 201.666830 167.766100 148.615476 137.584940 156.738739
[6691] 168.831983 161.694187 148.777357 143.643019 136.370378 147.287554
[6697] 147.291070 154.463226 152.787750 157.303659 153.465030 146.586119
[6703] 149.035007 150.244826 151.613522 135.089616 154.513759 155.718261
[6709] 203.018552 161.855101 183.281345 151.336754 148.307041 134.346003
[6715] 140.446181 157.436991 152.628254 166.856093 160.309909 156.666589
[6721] 148.825255 135.887991 152.084936 157.084038 158.295747 164.481171
[6727] 169.671279 152.153480 144.840564 144.409598 146.451797 139.972574
[6733] 134.339182 91.178023 97.450623 90.408208 95.875564 133.024109
[6739] 145.312575 153.766537 130.211471 130.592973 144.876917 138.612529
[6745] 149.127487 163.592900 150.222838 144.139314 141.215809 140.835484
[6751] 122.021329 98.283752 137.240511 131.593097 131.239001 130.201788
[6757] 134.221843 139.938261 139.268385 145.859753 138.008076 139.159402
[6763] 142.180774 139.664283 136.145655 147.090668 145.669134 148.290889
[6769] 156.597252 153.337717 165.670759 156.820401 167.471619 167.966746
[6775] 169.872596 184.540243 182.328204 177.326002 175.923886 166.428147
[6781] 166.256792 185.504159 164.864742 161.983334 163.553661 176.142585
[6787] 173.622946 168.855772 165.103457 160.712545 166.044208 149.594165
[6793] 158.677964 146.626015 144.203446 145.808717 154.218568 145.603119
[6799] 136.258199 129.588437 125.605614 144.349389 141.682761 138.544934
[6805] 134.402356 126.005901 123.858641 116.943787 117.552027 140.366336
[6811] 132.210636 125.191008 123.378161 129.012148 111.088421 127.978116
[6817] 120.330207 122.379088 117.127993 138.046135 147.428334 155.189107
[6823] 143.489530 142.883767 153.493256 134.321774 136.052091 119.878484
[6829] 120.795818 123.623022 130.452641 158.597556 186.927865 246.879905
[6835] 208.547005 187.997401 275.096855 275.124718 288.723916 286.276001
[6841] 288.649055 278.883954 289.721293 296.550868 296.987497 299.281863
[6847] 294.874261 293.713436 291.500469 287.060143 292.174178 292.851051
[6853] 294.043245 291.054169 289.867727 287.226101 283.030603 287.982838
[6859] 288.664358 289.428553 287.181442 285.978760 282.923956 278.991548
[6865] 283.801755 284.506470 284.856059 283.086489 281.837725 278.782307
[6871] 274.845327 279.644606 280.336260 265.651103 246.616661 291.488566
[6877] 238.244463 221.538800 283.269265 279.138794 279.632602 278.054997
[6883] 276.909919 274.012596 270.099209 275.006200 275.999482 276.492854
[6889] 274.914764 273.772301 270.884113 266.850281 271.729576 272.892376
[6895] 273.391403 271.777090 270.663076 267.482515 263.409815 268.159595
[6901] 269.727351 271.347952 268.560261 267.483615 264.033953 259.959861
[6907] 281.033759 251.463308 287.304780 282.412209 280.391291 276.187616
[6913] 188.177872 192.922114 226.961853 261.066689 211.011667 107.084120
[6919] 107.404995 105.985751 106.983181 161.364461 129.825961 163.256351
[6925] 136.608236 125.303643 126.602626 168.966257 231.300448 151.490475
[6931] 133.424202 127.117262 133.600307 130.323240 122.066588 117.805306
[6937] 107.465395 105.799560 109.873508 136.696770 126.174396 133.195193
[6943] 149.886863 160.036985 150.043318 153.720584 142.925323 137.665172
[6949] 227.558600 275.451896 288.535218 286.359297 288.299862 291.321764
[6955] 158.050384 242.497390 245.157979 263.223228 220.096109 162.944778
[6961] 136.244666 127.074473 151.774178 144.276484 128.994373 135.203413
[6967] 155.855334 146.382523 125.279398 131.411970 166.436299 159.870562
[6973] 159.709652 147.592818 135.471231 136.911969 144.410207 147.021720
[6979] 225.947448 182.401705 151.859688 132.330749 130.028079 160.181022
[6985] 180.587313 236.159546 205.527807 185.197602 153.073070 148.495344
[6991] 155.556236 158.381466 166.364756 147.754265 141.549849 138.478890
[6997] 127.349662 142.790121 120.659378 131.086407 132.744479 122.309502
[7003] 118.235054 112.504700 117.341914 112.791837 121.078598 141.113055
[7009] 163.970176 170.934320 170.525315 165.312256 185.022264 192.154502
[7015] 210.187231 227.561824 261.899600 251.191895 281.535852 248.356195
[7021] 222.671559 159.899590 151.430928 135.791850 118.601006 155.889796
[7027] 155.009035 144.084826 170.546177 179.636593 171.307801 159.088677
[7033] 168.651848 155.133845 150.888047 151.932558 154.077339 149.120844
[7039] 148.158226 151.463706 148.572104 162.368069 170.659537 153.089660
[7045] 165.839794 142.503807 148.087439 149.838581 155.963546 153.367012
[7051] 154.119023 152.554145 147.568794 139.817950 152.134247 133.356058
[7057] 152.655797 130.830058 133.516054 105.579453 138.067432 139.513046
[7063] 146.813330 137.899992 142.580866 138.344507 138.846935 140.018830
[7069] 142.526106 132.074837 135.095240 131.731376 132.262913 132.166079
[7075] 147.365117 162.195787 165.974166 169.020226 186.945174 187.701183
[7081] 172.067138 177.367337 169.103016 176.881345 150.308014 153.263822
[7087] 160.310832 129.404928 150.745353 135.676018 144.386909 138.024199
[7093] 131.822806 93.768757 154.184162 165.139164 136.862321 136.539621
[7099] 120.920563 119.260096 125.759243 132.104033 141.037522 134.771412
[7105] 132.784776 151.212516 153.068740 169.176313 201.300299 176.022275
[7111] 180.155809 194.616357 193.096082 168.459478 172.492350 170.458105
[7117] 165.681141 164.103145 158.142345 144.744628 189.118942 172.762841
[7123] 151.379441 144.419882 143.818980 156.205123 144.499848 138.663278
[7129] 134.502737 127.630684 132.046037 144.611451 138.340244 130.397679
[7135] 157.651774 140.373383 140.056010 131.335601 152.284691 144.088785
[7141] 149.680139 150.433792 148.173814 137.597947 126.913492 139.638068
[7147] 138.861182 138.149380 132.307137 116.051200 106.692350 109.811977
[7153] 113.562923 128.716368 139.094818 137.547980 136.697798 145.687548
[7159] 152.450853 152.862873 166.839754 157.918833 158.374392 141.138486
[7165] 143.114341 153.468827 162.955410 174.137485 192.186453 181.363761
[7171] 171.261773 160.623395 179.159217 173.739565 173.609641 185.179282
[7177] 189.817672 185.899168 173.245324 201.126109 194.479693 182.502324
[7183] 183.084613 158.935275 146.438775 141.836311 130.738300 141.373424
[7189] 169.666901 165.812704 159.209185 174.453909 178.859694 180.102844
[7195] 175.007517 153.956174 143.349325 141.887916 156.470674 154.813344
[7201] 151.268841 150.393620 155.103578 155.344482 144.432606 141.264195
[7207] 137.961007 153.252042 162.623487 132.175511 125.811762 112.837279
[7213] 110.512517 113.422100 119.932316 117.385639 126.300031 131.068540
[7219] 134.712677 119.835978 127.997612 114.029676 120.311890 133.160853
[7225] 140.747948 134.329551 130.746236 128.111578 141.761712 140.626978
[7231] 147.386651 165.033388 160.853525 173.841202 180.095652 218.742363
[7237] 250.494662 265.769411 313.422170 292.360110 276.604042 257.501850
[7243] 319.562358 268.779270 189.315542 175.524916 178.808565 179.714691
[7249] 168.351975 202.465841 238.478932 250.290265 274.506818 235.685482
[7255] 196.637307 168.055413 160.030531 161.423966 178.419055 182.962839
[7261] 175.726225 163.776867 151.563542 148.327398 150.149672 154.920910
[7267] 162.975169 169.318719 152.628824 137.574988 143.241931 174.713470
[7273] 181.668635 176.961489 168.726966 157.548085 143.697809 148.933086
[7279] 145.889694 159.496047 161.449505 161.015348 148.926560 135.822477
[7285] 144.625611 143.902493 159.592639 148.045031 156.184190 158.500593
[7291] 162.201866 197.529644 196.743626 201.456590 190.742695 200.226813
[7297] 180.857361 167.755528 178.861193 183.918673 187.278762 199.441258
[7303] 193.481907 192.300582 152.882407 163.497277 154.371490 173.417766
[7309] 175.859230 181.922494 163.843131 155.076556 175.698256 166.371398
[7315] 182.309271 181.110546 181.031325 164.315332 154.240246 162.291616
[7321] 169.737687 194.216072 172.709550 172.099439 162.370407 156.618319
[7327] 165.342435 172.888165 161.680924 164.139877 175.869029 167.244582
[7333] 164.296896 174.097256 172.315793 180.095041 179.551405 181.367285
[7339] 178.594537 176.179319 184.785916 185.039692 189.819911 189.828508
[7345] 191.920773 189.548993 187.298984 195.397041 196.039389 201.257977
[7351] 213.602796 212.728216 211.674908 209.223250 212.753242 208.425786
[7357] 203.845873 179.446362 190.519748 193.511723 202.121893 219.957730
[7363] 232.511361 243.932081 253.510997 243.008713 258.262135 268.638351
[7369] 345.812438 346.015978 347.427159 347.234024 347.474159 344.967826
[7375] 342.063365 347.953219 348.697765 350.056687 349.591994 349.364334
[7381] 347.176369 344.206008 350.051336 351.327497 352.626940 351.891985
[7387] 351.597673 349.442903 346.460987 352.248589 353.689431 354.976315
[7393] 354.210356 353.853487 351.730803 348.732000 354.453799 356.050633
[7399] 357.317749 356.513250 356.151475 354.025516 351.023201 356.744176
[7405] 358.345379 359.613246 358.814674 358.450151 356.322307 353.317140
[7411] 359.037298 360.642467 361.910635 361.110733 360.746611 358.618812
[7417] 355.613235 361.333012 362.938216 364.206614 363.407327 363.043468
[7423] 360.915627 357.909592 363.628963 365.234185 366.502804 365.703596
[7429] 365.339887 363.211913 360.206025 365.925287 367.530422 368.798918
[7435] 367.999906 367.636332 365.508222 362.502490 368.221661 369.826728
[7441] 371.095117 370.295810 369.933629 367.803370 364.798945 370.518223
[7447] 372.123197 373.391416 372.591729 372.230931 370.098530 367.095443
[7453] 372.814880 374.419822 375.687922 374.888525 374.527690 372.392776
[7459] 369.389990 375.110599 376.718414 377.985963 377.184583 376.823124
[7465] 368.692246 359.697168 359.427578 321.413256 375.414947 325.048124
[7471] 323.119720 323.035203 320.828153 327.624355 330.382032 332.470407
[7477] 332.824416 333.325516 332.155434 329.758920 336.644286 339.564424
[7483] 341.492073 342.337304 342.418031 341.251073 338.674012 345.724360
[7489] 348.747153 350.272366 351.874640 351.538831 350.376662 347.619141
[7495] 354.833226 357.955954 359.073994 361.441578 362.418310 351.466276
[7501] 338.710911 346.019970 350.025001 349.625353 356.242184 357.723065
[7507] 364.689514 345.234692 334.679615 318.749445 327.909904 347.961969
[7513] 356.073120 353.005662 348.520085 353.723148 354.721981 354.151731
[7519] 353.970908 351.851469 348.790070 344.509694 349.584112 350.437505
[7525] 350.071443 349.397560 347.647936 344.586900 340.477620 345.411940
[7531] 346.173082 346.115776 344.810819 343.426217 340.361442 336.420107
[7537] 341.212467 341.881166 342.134812 340.528790 339.192607 336.136008
[7543] 332.201244 336.995077 337.668482 337.965951 336.276190 334.983912
[7549] 331.928797 327.993503 332.782577 333.455828 333.793865 332.065343
[7555] 330.772010 327.719180 323.784669 328.574209 329.248351 329.586571
[7561] 327.857309 326.562935 323.511992 319.577664 324.367017 325.041439
[7567] 325.379357 323.650736 322.355431 319.303976 281.588906 267.776783
[7573] 251.944025 225.669197 174.009507 150.247860 148.112504 145.095306
[7579] 150.801381 152.394090 153.650018 152.838483 152.457528 150.319089
[7585] 147.300806 177.238921 161.766797 142.055279 140.936958 140.248898
[7591] 137.801221 134.475547 139.878763 141.172431 142.129952 141.023641
[7597] 140.380662 137.880516 134.601690 139.919600 141.042390 142.229077
[7603] 141.131436 140.527114 137.965401 134.722531 139.943813 140.885463
[7609] 142.293455 141.221530 140.967260 138.003246 134.825141 140.057388
[7615] 140.498790 142.392094 141.312207 141.410702 138.043822 134.927185
[7621] 140.164992 140.098712 142.467487 141.162336 142.197632 138.125338
[7627] 123.381803 117.097108 115.962428 135.514507 139.501624 130.582343
[7633] 113.729126 115.390320 137.491403 133.654932 169.872554 140.350010
[7639] 151.414768 205.872040 168.171440 189.505358 168.922842 142.340572
[7645] 119.056453 125.542503 117.755854 109.572172 110.472875 110.494139
[7651] 106.267823 99.642753 116.010252 107.308157 99.435788 100.798206
[7657] 107.134102 100.268808 95.536373 97.068613 101.524091 95.748316
[7663] 96.034050 101.189801 95.203432 89.570720 91.698221 89.734148
[7669] 86.189666 87.643522 99.187707 86.952641 98.109660 111.241096
[7675] 98.086755 101.848853 99.774132 97.818464 96.754004 102.045060
[7681] 101.767366 104.075437 99.852993 103.564772 117.793725 116.289947
[7687] 101.306139 97.133355 94.219493 96.976749 97.750328 115.624767
[7693] 116.960802 139.474967 113.459791 123.705049 119.346050 152.119842
[7699] 194.036272 204.965145 206.405111 149.071248 105.914613 118.126949
[7705] 194.106965 207.441155 232.910827 233.033916 221.946955 180.821716
[7711] 205.315485 167.544105 129.558818 157.838745 129.991506 118.003903
[7717] 131.614213 116.088901 135.622167 184.122453 203.145014 159.018960
[7723] 153.042440 137.328906 102.588442 123.719863 99.464586 87.447796
[7729] 86.456064 70.767484 63.040276 59.061216 103.829499 121.228860
[7735] 116.060657 101.408060 85.243678 77.706796 70.851907 76.072470
[7741] 79.650991 123.286592 132.220855 148.533067 110.266373 86.057433
[7747] 120.943151 132.760261 103.936104 136.741951 96.427092 105.028162
[7753] 87.709572 112.160830 154.325610 133.090000 148.641121 159.432240
[7759] 156.328481 115.496994 130.956081 139.590525 149.343880 166.115853
[7765] 162.319941 164.095909 159.930063 165.496511 171.725687 186.823082
[7771] 179.328990 178.785134 153.730628 133.726543 118.345263 148.841366
[7777] 149.735225 138.976432 132.540223 131.733277 116.895578 123.301662
[7783] 128.813133 137.260418 142.940176 134.847482 131.826268 133.509888
[7789] 126.838438 133.670480 132.112965 124.329583 105.848179 99.767740
[7795] 95.113393 102.484126 104.918724 100.242411 102.592430 128.090201
[7801] 136.827315 119.391576 136.757058 131.131065 134.968020 111.743207
[7807] 94.601280 95.640177 65.098932 58.192003 55.529963 47.167971
[7813] 46.329372 57.052340 54.498867 45.982401 70.135162 85.552832
[7819] 89.113231 94.063124 94.810744 100.436667 100.879228 101.342016
[7825] 106.090502 104.274113 100.411952 94.879030 97.396719 78.000234
[7831] 79.587525 76.491709 79.242627 77.542719 72.981016 66.960825
[7837] 63.512851 64.629288 60.797880 70.152148 77.448555 95.687544
[7843] 91.143260 86.987301 91.317107 98.511677 88.223278 94.337747
[7849] 87.665551 52.009045 63.347755 66.630400 71.599574 83.125668
[7855] 78.969732 82.083935 75.368719 56.009971 86.281741 110.800379
[7861] 96.966603 107.203366 98.348377 90.730827 98.438386 99.232299
[7867] 90.848731 78.832996 84.131996 83.629460 96.778140 68.800729
[7873] 90.602952 110.802340 99.391635 101.064797 125.654049 114.390839
[7879] 107.303123 138.889235 145.293493 144.940065 124.513185 119.702490
[7885] 131.357067 114.507817 119.190404 131.478349 142.146702 145.389797
[7891] 140.041494 141.687122 113.315405 117.582874 112.441763 122.348016
[7897] 123.441820 117.206548 113.931247 105.727559 104.328648 98.563842
[7903] 94.433790 101.736684 90.870097 94.280198 95.790970 97.902228
[7909] 82.719651 88.616923 88.686043 81.983569 87.851823 70.840593
[7915] 84.286089 83.587366 107.564619 85.133118 92.509482 68.222480
[7921] 57.460515 56.108264 59.594789 57.063311 54.961087 54.973176
[7927] 49.386431 55.546054 80.939610 74.577905 69.327464 69.638359
[7933] 79.498439 96.748154 99.481421 79.168335 65.719139 63.608493
[7939] 49.339936 54.035250 51.048060 51.481222 67.191149 82.229410
[7945] 78.651182 82.142697 77.108158 70.306528 75.265398 75.838172
[7951] 76.136097 67.817674 72.540238 70.756217 60.852684 64.846750
[7957] 74.802296 68.733807 65.840265 63.410625 56.906425 54.117413
[7963] 53.678547 57.095621 50.978058 48.811613 46.178910 48.383937
[7969] 47.022559 47.958349 47.514381 50.981133 48.436811 48.395208
[7975] 47.478277 47.131962 45.631161 47.976210 47.150039 46.525959
[7981] 48.467527 49.623492 49.163958 49.019050 50.242257 48.143337
[7987] 58.908262 49.975881 49.982766 52.220126 49.073810 49.719311
[7993] 55.968130 50.696274 51.283862 48.640509 47.861477 48.922383
[7999] 47.822122 49.766133 61.070935 49.932928 48.265311 47.791869
[8005] 47.819684 49.013127 48.062091 48.445232 48.772691 48.783447
[8011] 47.795541 48.666434 49.413269 50.677983 48.834081 48.060532
[8017] 48.004903 47.929085 46.909347 46.786354 47.953742 47.082791
[8023] 47.645752 48.163917 47.243957 48.679730 54.000198 54.108024
[8029] 48.050780 51.568486 51.642551 46.925255 48.025469 50.661021
[8035] 60.395906 63.296700 49.367395 53.539813 47.655796 47.308917
[8041] 51.352103 55.903259 52.400396 57.255385 60.293544 52.603244
[8047] 52.072601 51.096205 68.156929 57.550826 58.832007 49.105065
[8053] 46.986908 46.679927 47.876866 51.247111 49.405896 49.539583
[8059] 47.874852 50.070748 49.789652 57.469785 62.111649 53.647520
[8065] 57.853050 70.364840 80.306641 71.417337 77.781682 77.224683
[8071] 78.538679 84.313377 82.391680 83.187397 81.921538 92.233946
[8077] 97.151257 100.401928 99.387157 104.325429 102.093913 100.187884
[8083] 102.023116 99.035313 101.284710 96.423983 100.900288 90.016772
[8089] 91.562761 94.538446 90.017719 93.119933 96.911390 82.701275
[8095] 84.618381 82.005695 88.653160 73.989288 81.808425 89.737968
[8101] 86.923769 89.230107 82.391461 81.286921 84.055391 80.846217
[8107] 95.496890 79.070095 76.928288 76.954916 83.961311 83.596264
[8113] 86.299209 93.086028 83.119122 91.080303 83.837572 89.083921
[8119] 87.050874 90.684464 91.311774 97.158262 90.181101 90.788983
[8125] 89.499365 99.956996 111.063874 109.947422 113.796088 124.173507
[8131] 112.981841 120.735761 121.266825 122.239921 125.382509 120.491175
[8137] 113.853797 106.380980 94.885430 79.458092 99.388123 98.145947
[8143] 104.839683 99.633212 98.184902 95.466781 99.364853 103.481875
[8149] 107.533610 108.334673 107.534961 100.998245 103.926780 119.086366
[8155] 113.329981 113.289218 109.804972 98.676398 87.184615 75.763804
[8161] 80.517989 79.070443 87.635651 73.425219 70.372724 60.424047
[8167] 62.818152 65.012005 63.631494 64.050576 60.604115 58.241358
[8173] 55.127439 52.349482 55.955571 56.601081 58.617815 58.920769
[8179] 61.618768 61.832560 65.771562 61.509416 64.316224 60.345264
[8185] 55.720906 59.082872 55.662479 65.994062 64.664685 73.162966
[8191] 77.094293 82.230680 83.787737 87.600344 91.011924 100.412182
[8197] 104.163864 102.966506 104.807498 117.378845 108.647833 87.145663
[8203] 98.133148 97.194130 103.811641 98.132782 98.060556 95.684188
[8209] 94.953883 96.493724 96.537214 96.778806 95.865231 94.493890
[8215] 92.840308 82.231413 90.433872 86.796548 87.155623 87.597970
[8221] 83.598181 67.496611 84.698728 82.713749 81.055003 81.823817
[8227] 80.718441 86.135490 82.708574 86.442616 85.323390 87.255320
[8233] 99.221366 95.862551 106.542256 104.378467 105.283413 93.356351
[8239] 106.996069 94.702716 95.659563 93.628134 95.393634 96.912819
[8245] 95.536447 95.630207 97.858370 98.582643 94.005789 90.655234
[8251] 97.347132 100.467445 112.750900 104.582174 102.238943 99.121757
[8257] 101.224520 107.082162 106.804315 103.897747 98.547058 108.295485
[8263] 109.175034 124.025411 129.864027 126.360046 127.900912 125.998548
[8269] 126.899506 131.036068 134.584646 144.933831 147.559054 150.987245
[8275] 145.605439 141.700483 132.039020 125.748780 118.101963 122.246653
[8281] 117.104432 109.360896 102.667023 100.608594 108.432568 118.599466
[8287] 123.492353 126.663161 118.446932 81.895083 108.709345 83.603094
[8293] 109.115918 106.070627 98.332464 92.091733 79.030984 84.743210
[8299] 72.029669 76.610677 80.043170 97.653551 80.486021 85.509179
[8305] 82.496220 72.438919 85.958963 87.000442 92.874705 89.780561
[8311] 82.093911 55.284964 59.548502 86.127980 95.087546 90.234085
[8317] 77.984399 72.661674 62.715135 49.911190 66.846522 54.739650
[8323] 58.427521 54.807364 49.961367 56.455760 54.210358 61.019043
[8329] 76.300240 53.732622 52.599285 50.187388 46.972497 47.133227
[8335] 47.180710 45.632135 46.356984 49.874424 48.828629 48.415963
[8341] 45.980938 48.457153 49.120665 51.247439 52.224449 52.714512
[8347] 58.469166 52.105501 49.405520 48.665149 48.847580 71.939782
In [76]:
f_dates<-seq.Date(as.Date('1995-07-24'),to=as.Date('2018-05-31'),by = 7)
In [ ]:
In [77]:
length(f_dates)
1193
In [78]:
#Veces que corre el modelo
length(f_dates)-52
1141
In [79]:
#Primer pronostico
f_dates[53]+2
In [83]:
forecasting_ARIMA<-function(serie=const_price_wo,semana_inicial=54,semana_final=1140,experto_inicial=1,experto_final=49){
dataset_1<-c()
l.forecast<-7
for(week in seq(semana_inicial,semana_final,1)){ #Esto va hasta 1140
for(w in seq(experto_inicial,experto_final,1)){ #Esto va hasta 49
#for(lmb in seq(min_lambda,max_lambda,delta_lambda)){
initial_time<-as.character(now())
w_start<-1+w+week-52-2
y.fit<-window(serie,start = c(w_start,1),end = c(week,7))
y.for<-window(serie,start=c(week+1,1),end=c(week+1,7))
modelo<-auto.arima(y.fit,
#lambda = lmb, #El modelo
max.order=9) #Define el maximo nivel de busqueda
parametros.modelo=arimaorder(modelo)
#coef<-c(round(modelo$coef,4),rep(NA,(max_lag-length(modelo$coef))))
y.est<-round(forecast(modelo,h=l.forecast)[['mean']][1:l.forecast],4)
#RMSE
RMSE.fit=round(accuracy(forecast(modelo,h=l.forecast),y.for)[,2][[1]],4) #RMSE fit
RMSE.for=round(accuracy(forecast(modelo,h=l.forecast),y.for)[,2][[2]],4) #RMSE for
#MAE
MAE.fit=round(accuracy(forecast(modelo,h=l.forecast),y.for)[,3][[1]],4) #MAE fit
MAE.for=round(accuracy(forecast(modelo,h=l.forecast),y.for)[,3][[2]],4) #MAE for
#Theil's U
utheil<-round(accuracy(forecast(modelo,h=l.forecast),y.for)[,8][[2]],4)
if(length(parametros.modelo)<7){ #Ajusta si el modelo no es SARIMA
parametros.modelo=c(arimaorder(modelo),NA,NA,NA,NA)
}
final_time<-as.character(now())
resultados<-c(week-w_start,paste0(w_start,',1'),paste0(week,',7'),paste0(week+1,',1'),paste0(week+1,',7'),#lmb,
parametros.modelo,round(modelo$aic,2),round(y.for,4),y.est,RMSE.fit,RMSE.for,MAE.fit,MAE.for,utheil, initial_time,final_time)
dataset<-matrix(resultados,nrow = 1,byrow = TRUE)#,
# dimnames = list(c(),c('Size Sample','Start_fit_week','End_fit_week',
# 'Start_for_week','End_for_week','Lambda','p','d','q','P','D','Q','S',
# 'AIC',
# paste0('y.for',seq(7)),
# paste0('y.est',seq(7)),
# 'RMSE_fit','RMSE_for',
# 'MAE_fit','MAE_for','TheilsU',
# 'Initial_time','Final_time')))
dataset_1<-rbind(dataset_1,data.frame(dataset),stringsAsFactors = F)
}
}
colnames(dataset_1)<-c('Size Sample','Start_fit_week','End_fit_week',
'Start_for_week','End_for_week','p','d','q','P','D','Q','S',
'AIC',
paste0('y.for',seq(7)),
paste0('y.est',seq(7)),
'RMSE_fit','RMSE_for',
'MAE_fit','MAE_for','TheilsU',
'Initial_time','Final_time')
return(dataset_1)
}
In [84]:
# ini<-now()
# ejercicio1<-as.data.frame(lapply(const_price_wo,FUN = forecasting_ARIMA,semana_inicial = 54,semana_final =54,experto_final=25))
# end=now()
# end-ini
# write_csv(ejercicio1,'./files/Univariados_con_lambda_54_174.csv')
In [85]:
library(foreach)
library(doParallel)
In [86]:
no_cluster<-detectCores()
cl<-makeCluster(no_cluster)
registerDoParallel(cl)
In [100]:
ini=now()
options(warn=-1)
ejercicio_paralelo<-foreach(semana=1141:1192,.combine=bind_rows,.packages=c('forecast','dplyr','lubridate'),.export = c('forecasting_ARIMA','const_price_wo','f_dates','outliers_const_price','total_weeks',
'constant_price','precios')) %dopar% {
as.data.frame(lapply(const_price_wo,FUN = forecasting_ARIMA,semana_inicial = semana, semana_final =semana, experto_final=49))
}
fin=now()
fin-ini
Time difference of 20.56706 mins
In [101]:
ejercicio_paralelo%>%head(10)
ejercicio_paralelo%>%tail(1)
Size.Sample Start_fit_week End_fit_week Start_for_week End_for_week p d q P D ⋯ y.est5 y.est6 y.est7 RMSE_fit RMSE_for MAE_fit MAE_for TheilsU Initial_time Final_time 52 1089,1 1141,7 1142,1 1142,7 0 1 0 NA NA ⋯ 49.0191 49.0191 49.0191 15.4506 4.0027 10.5469 2.4521 0.7666 2018-06-13 03:34:38 2018-06-13 03:34:38 51 1090,1 1141,7 1142,1 1142,7 1 1 1 2 0 ⋯ 56.3559 57.097 57.5669 14.9166 5.5442 10.6469 5.1215 1.0026 2018-06-13 03:34:38 2018-06-13 03:34:40 50 1091,1 1141,7 1142,1 1142,7 1 1 1 2 0 ⋯ 56.5874 57.3591 57.8491 15.0301 5.7038 10.7401 5.2645 1.0304 2018-06-13 03:34:40 2018-06-13 03:34:41 49 1092,1 1141,7 1142,1 1142,7 1 1 2 2 0 ⋯ 56.3019 57.0301 57.4733 15.0444 5.5084 10.7598 5.0922 0.9965 2018-06-13 03:34:41 2018-06-13 03:34:45 48 1093,1 1141,7 1142,1 1142,7 2 1 2 0 0 ⋯ 46.3853 46.1169 45.9884 14.786 5.6284 10.5538 4.4018 1.0603 2018-06-13 03:34:45 2018-06-13 03:34:51 47 1094,1 1141,7 1142,1 1142,7 0 1 0 NA NA ⋯ 49.0191 49.0191 49.0191 15.2333 4.0027 10.4334 2.4521 0.7666 2018-06-13 03:34:51 2018-06-13 03:34:55 46 1095,1 1141,7 1142,1 1142,7 0 1 0 NA NA ⋯ 49.0191 49.0191 49.0191 15.3481 4.0027 10.518 2.4521 0.7666 2018-06-13 03:34:55 2018-06-13 03:34:55 45 1096,1 1141,7 1142,1 1142,7 0 1 0 NA NA ⋯ 49.0191 49.0191 49.0191 15.4975 4.0027 10.6535 2.4521 0.7666 2018-06-13 03:34:55 2018-06-13 03:34:55 44 1097,1 1141,7 1142,1 1142,7 1 1 1 0 0 ⋯ 55.8573 56.5439 56.9893 15.0325 5.2099 10.7598 4.7668 0.9458 2018-06-13 03:34:55 2018-06-13 03:34:56 43 1098,1 1141,7 1142,1 1142,7 0 1 0 NA NA ⋯ 49.0191 49.0191 49.0191 15.7545 4.0027 10.8361 2.4521 0.7666 2018-06-13 03:34:56 2018-06-13 03:34:56
Size.Sample Start_fit_week End_fit_week Start_for_week End_for_week p d q P D ⋯ y.est5 y.est6 y.est7 RMSE_fit RMSE_for MAE_fit MAE_for TheilsU Initial_time Final_time 2548 4 1188,1 1192,7 1193,1 1193,7 0 1 0 NA NA ⋯ 45.9809 45.9809 45.9809 9.9321 6.7772 6.8805 6.0675 2.0852 2018-06-13 03:55:12 2018-06-13 03:55:12
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write_csv(ejercicio_paralelo,'./files/Univariados_con_lambda_1141_1192.csv')
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stopCluster(cl)
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#write_csv(ejercicio_paralelo,'./files/Univariados_con_lambda_54_200.csv')
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tail(ejercicio_paralelo,1)
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accuracy(forecast(auto.arima(window(const_price_wo,start=c(61,1),end=c(66,7)),max.order = 9,max.D=1,max.d=1),7),window(const_price_wo,start=c(67,1),end=c(67,7)))
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mm<-auto.arima(window(const_price_wo,start=c(60,1),end=c(64,7)),max.order = 9,max.D=1,max.d=1)
summary(mm)
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accuracy(foreca)
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mm<-auto.arima(window(const_price_wo,start=c(758,1),end=c(801,7)),max.order = 9)
out<-summary(auto.arima(window(const_price_wo,start=c(758,1),end=c(801,7)),max.order = 9))
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str(mm)
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mm$var.coef
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?summary.lm
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summary(unlist(unname(df_2%>%select(RMSE_for))),type='l')
summary(unlist(unname(df_2%>%select(MAE_for))))
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df<-read.table('files/Modelos_NotOutliers_Constant_52_semanas_pronostico_8.txt',
header = TRUE,sep = ';',
stringsAsFactors=FALSE) #Carga los modelos Pconst Entrenados
df$week_format=df$End_for_week #Cargar una columna adicional
df<-df%>%
separate(week_format, #Separo la columna LastWeek, que es la semana previa al pronostico
into=c('Last_Week','nothing'),sep = ',',convert=TRUE)
df<-df%>%select(-nothing) #Borrar columna porque no sirve
df<-df%>%select(Last_Week,Size.Sample:Final_time)
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df%>%arrange(Last_Week,Size.Sample)%>%select(1,2,7:20,22:28,39)%>%filter(Last_Week==55)%>%ggplot(mapping = aes(x=Size.Sample,y = RMSE.for))+geom_point()+geom_smooth(aes(outfit=fit<<-..y..))
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#library(caret)
intento1<-df%>%arrange(Last_Week,Size.Sample)%>%select(1,2,7:20,22:28,39)%>%filter(Last_Week==1055)%>%select(2,24)
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intento1%>%filter(RMSE.for<=quantile(intento1$RMSE.for,c(0.250)))%>%arrange(Size.Sample)%>%ggplot(mapping=aes(x=seq(13),y=RMSE.for))+geom_smooth()+geom_point()
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mean(intento1$RMSE.for)
intento1%>%filter(RMSE.for<=quantile(intento1$RMSE.for,c(0.25)))%>%arrange(Size.Sample)#%>%summarize(n=mean(RMSE.for))
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wfit<-window(const_price_wo,start=c(1002,1),end=c(1054,7))
(wfor<-window(const_price_wo,start=c(1055,1),end=c(1055,7)))
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m1<-auto.arima(const_price_wo)
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accuracy(m1)[,2]
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#Esto es el promedio de los errores de cada experto
df%>%arrange(Last_Week,Size.Sample)%>%select(1,2,7:20,22:28,39)%>%group_by(Last_Week)%>%summarize(mean_RMSE.for=mean(RMSE.for))%>%ggplot(mapping = aes(x=Last_Week,y=mean_RMSE.for))+geom_line()
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#Metamos el promedio del cuartil 0.25
#Desde 55 hasta 1142
definitivo_p25<-c()
for(i in seq(from = 55,to = 1142,by = 1)){
temp<-df%>%arrange(Last_Week,Size.Sample)%>%select(1,2,7:20,22:28,39)%>%filter(Last_Week==i)
temp2<-temp%>%filter(RMSE.for<=quantile(temp$RMSE.for,c(0.25)))%>%arrange(Size.Sample)
n_row<-nrow(temp2)
definitivo_p25<-rbind(definitivo_p25,temp2)
}
#df%>%arrange(Last_Week,Size.Sample)%>%select(1,2,7:20,22:28,39)%>%filter(Last_Week==1055)
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definitivo_p25%>%group_by(Last_Week)%>%summarize(mean_RMSE=mean(RMSE.for))%>%ggplot(mapping = aes(x=Last_Week,y=mean_RMSE))+geom_line()
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definitivo_p25%>%group_by(Last_Week)%>%summarize(mean_RMSE=mean(RMSE.for))%>%select(mean_RMSE)%>%summarize(n=mean(mean_RMSE))
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w<-300
m2<-auto.arima(window(const_price_wo,end=c(w,7)))
unname(accuracy(forecast(m2,h=7),window(const_price_wo,start=c(w,1),end=c((w+1),7)))[,2][2])
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unlist(unname(definitivo_p25%>%filter(Last_Week==(w+1))%>%summarize(mean=mean(RMSE.for))))
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#Coger y montar el mejor modelo sumando todos los datos y luego contrastar contra esa combinacion de pronostico, debe dar emenor la combinacion si no me jodi
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# Sacar toda la tabla de los expertos
#Seleccionar los expertos que queden en
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#Semana
total<-c()
for(sem in seq(55,1141)){
# Selection Forward semana sem
#Voy a mirar como hacer selection forward de la semana ### sem ###
pt<-t(unname(df%>%filter(Last_Week==sem)%>%select(Size.Sample,starts_with('y.for'))%>%select(-y.for8)%>%head(1))[,-1])
colnames(pt)<-c('pt')
#df%>%filter(Last_Week==55)%>%select(Size.Sample,starts_with('y.for'),starts_with('y.est'))%>%select(-starts_with('y.est_'),-y.for8,-y.est8)
yt<-t(unname(df%>%filter(Last_Week==sem)%>%select(Size.Sample,starts_with('y.est'))%>%select(-starts_with('y.est_'),-y.est8)))[-1,]
colnames(yt)<-c(paste0('Sem',seq(4,52)))
vars<-as.data.frame(cbind(pt,yt))
fitAll<-lm(pt~.,data=vars)
startFit<-lm(pt~1,data = vars)
mfinal_semana<-step(startFit,direction = 'forward',scope = formula(fitAll),trace = F)
summary(mfinal_semana)
#RMSE de los valores ajustados con la seleccion Forward
sim<-unname(unlist(mfinal_semana$fitted.values))
obs<-window(const_price_wo,start=c(sem,1),end=c(sem,7))
(ecombin_lineal<-round(sqrt( mean((obs - sim)^2, na.rm = TRUE)),4))
# RMSE Todos los expertos
#RMSE promedio de todos los expertos sin filtrar
(eall<-unlist(unname(df%>%filter(Last_Week==sem)%>%select(RMSE.for)%>%summarize(mean=mean(RMSE.for)))))
# El experto de la semana 52
#Este es el errror de tomar 52 semanas
(e52<-unname(unlist(df%>%filter(Last_Week==sem)%>%tail(1)%>%select(RMSE.for))))
#formula de la combinacion stepforward
f_combinacion<-paste(as.character.numeric_version(formula(mfinal_semana)),collapse = '') #Escribe la ecuacion seleccionada
#Vector con resultados finales
(res_com<-matrix(c(sem,f_combinacion,e52,ecombin_lineal,round(eall,4)),byrow = T,nrow = 1))
#Guarda en matriz
total<-rbind(total,res_com)
}
total
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colnames(total)<-c('Semana','Modelo Forward','Combinacion_Error_Fwd','Todos','Error_en_Semana_52')
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total<-as.data.frame(total)
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head(total)
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total$Semana<-as.numeric(as.character(total$Semana))
total$Combinacion_Error_Fwd<-as.double(as.character(total$Combinacion_Error_Fwd))
total$Todos<-as.double(as.character(total$Todos))
total$Error_en_Semana_52<-as.double(as.character(total$Error_en_Semana_52))
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with(total, plot(x=Semana,y=Combinacion_Error_Fwd,type='l',col='blue'))
with(total,lines(x=Semana,y=Todos))
with(total,lines(x=Semana,y=Error_en_Semana_52,col='darkgreen'))
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total
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Content source: camilogavo/Colombian_Energy_Forecasting
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