phii m@iii@g oii phiiipsmith@c@
2019-Oct-30 02:05 UTC
[R] " Error in firstnonmiss:lastnonmiss : argument of length 0 "
I am having a problem that generates the error message: " Error in
firstnonmiss:lastnonmiss : argument of length 0 ". There is an article
on this in stackoverflow, but I have been unable to understand it well
enough to solve my problem. Essentially, I have a data frame with 41
indicator series and some of the series have missing values (NAs) at the
beginning and/or the end. I want to fill in the missing values using
ARIMA models, via the forecast() function. It works when I use my EXTEND
function on a single series, but it fails when I try to loop through all
41 series. Here is a reproducible example. Thanks for any advice.
# Reproducible example
# " Error in firstnonmiss:lastnonmiss : argument of length 0 "
# See also stackoverflow:
https://stackoverflow.com/questions/27350636/r-argument-is-of-length-zero-in-if-statement
library(forecast)
library(lubridate)
vseries <- dget("vseries.txt") # data frame containing REF_DATE and
41
"indicator" vectors
dts <- dget("dts.txt") # data frame recording where NAs are in
vseries -
they will be replaced
testcase1 <- dget("testcase1.txt") # a vector for use in testing
# Function to fill in missing values (NAs) using ARIMA forecasts and
backcasts
EXTEND <- function(x,REF_DATE,dt1,dt2,dt3,dt4,first_date,last_date) {
if (!is.na(dt1)) {
bfct = dt2-dt1+1 # number of months to backcast
revx <- ts(rev(x),frequency=12)
revx <- revx[1:(length(revx)-dt2)]
fc <- forecast(auto.arima(revx),bfct)
revx1 <- c(revx,fc$mean) # extend with forecasts (in fc$mean)
m <- month(as.POSIXlt(first_date,format="%Y-%m-%d"))
y <- year(as.POSIXlt(first_date,format="%Y-%m-%d"))
x <- as.numeric(ts(rev(revx1),start=c(y,m),frequency=12))
}
if (!is.na(dt3)) {
ffct <- dt4-dt3+1 # number of months to forecast
x <- x[1:(dt3-1)]
fc <- forecast(auto.arima(x),ffct)
x <- c(x,fc$mean)
}
return(x)
}
# Test EXTEND function with a single vector - apparently it works
(testcase1_extended <- EXTEND(testcase1,vseries$REF_DATE,1,3,222,223,
vseries$REF_DATE[1],vseries$REF_DATE[length(vseries$REF_DATE)]))
View(cbind(testcase1,testcase1_extended))
# Now use EXTEND to fill in the missing values in all 41 indicators in
vseries
# Data frame dts has NAs where no extension is required, integer values
showing where to start and
# where to end when extensions are required. Store extended series in
vseries1.
vseries1 <- vseries
for (j in 2:(ncol(vseries))) { # j starts at 2 because column 1 in
vseries is REF_DATE
if ( (!is.na(dts[1,j-1])) | (!is.na(dts[3,j-1])) ) {
vseries1[,j] <-
EXTEND(vseries[,j],vseries$REF_DATE,dts[1,j-1],dts[2,j-1],dts[3,j-1],dts[4,j-1],
vseries$REF_DATE[1],vseries$REF_DATE[length(vseries$REF_DATE)])
}
}
View(vseries)
View(vseries1)
dput() output for vseries:
structure(list(REF_DATE = c("2001-01-01", "2001-02-01",
"2001-03-01",
"2001-04-01", "2001-05-01", "2001-06-01",
"2001-07-01", "2001-08-01",
"2001-09-01", "2001-10-01", "2001-11-01",
"2001-12-01", "2002-01-01",
"2002-02-01", "2002-03-01", "2002-04-01",
"2002-05-01", "2002-06-01",
"2002-07-01", "2002-08-01", "2002-09-01",
"2002-10-01", "2002-11-01",
"2002-12-01", "2003-01-01", "2003-02-01",
"2003-03-01", "2003-04-01",
"2003-05-01", "2003-06-01", "2003-07-01",
"2003-08-01", "2003-09-01",
"2003-10-01", "2003-11-01", "2003-12-01",
"2004-01-01", "2004-02-01",
"2004-03-01", "2004-04-01", "2004-05-01",
"2004-06-01", "2004-07-01",
"2004-08-01", "2004-09-01", "2004-10-01",
"2004-11-01", "2004-12-01",
"2005-01-01", "2005-02-01", "2005-03-01",
"2005-04-01", "2005-05-01",
"2005-06-01", "2005-07-01", "2005-08-01",
"2005-09-01", "2005-10-01",
"2005-11-01", "2005-12-01", "2006-01-01",
"2006-02-01", "2006-03-01",
"2006-04-01", "2006-05-01", "2006-06-01",
"2006-07-01", "2006-08-01",
"2006-09-01", "2006-10-01", "2006-11-01",
"2006-12-01", "2007-01-01",
"2007-02-01", "2007-03-01", "2007-04-01",
"2007-05-01", "2007-06-01",
"2007-07-01", "2007-08-01", "2007-09-01",
"2007-10-01", "2007-11-01",
"2007-12-01", "2008-01-01", "2008-02-01",
"2008-03-01", "2008-04-01",
"2008-05-01", "2008-06-01", "2008-07-01",
"2008-08-01", "2008-09-01",
"2008-10-01", "2008-11-01", "2008-12-01",
"2009-01-01", "2009-02-01",
"2009-03-01", "2009-04-01", "2009-05-01",
"2009-06-01", "2009-07-01",
"2009-08-01", "2009-09-01", "2009-10-01",
"2009-11-01", "2009-12-01",
"2010-01-01", "2010-02-01", "2010-03-01",
"2010-04-01", "2010-05-01",
"2010-06-01", "2010-07-01", "2010-08-01",
"2010-09-01", "2010-10-01",
"2010-11-01", "2010-12-01", "2011-01-01",
"2011-02-01", "2011-03-01",
"2011-04-01", "2011-05-01", "2011-06-01",
"2011-07-01", "2011-08-01",
"2011-09-01", "2011-10-01", "2011-11-01",
"2011-12-01", "2012-01-01",
"2012-02-01", "2012-03-01", "2012-04-01",
"2012-05-01", "2012-06-01",
"2012-07-01", "2012-08-01", "2012-09-01",
"2012-10-01", "2012-11-01",
"2012-12-01", "2013-01-01", "2013-02-01",
"2013-03-01", "2013-04-01",
"2013-05-01", "2013-06-01", "2013-07-01",
"2013-08-01", "2013-09-01",
"2013-10-01", "2013-11-01", "2013-12-01",
"2014-01-01", "2014-02-01",
"2014-03-01", "2014-04-01", "2014-05-01",
"2014-06-01", "2014-07-01",
"2014-08-01", "2014-09-01", "2014-10-01",
"2014-11-01", "2014-12-01",
"2015-01-01", "2015-02-01", "2015-03-01",
"2015-04-01", "2015-05-01",
"2015-06-01", "2015-07-01", "2015-08-01",
"2015-09-01", "2015-10-01",
"2015-11-01", "2015-12-01", "2016-01-01",
"2016-02-01", "2016-03-01",
"2016-04-01", "2016-05-01", "2016-06-01",
"2016-07-01", "2016-08-01",
"2016-09-01", "2016-10-01", "2016-11-01",
"2016-12-01", "2017-01-01",
"2017-02-01", "2017-03-01", "2017-04-01",
"2017-05-01", "2017-06-01",
"2017-07-01", "2017-08-01", "2017-09-01",
"2017-10-01", "2017-11-01",
"2017-12-01", "2018-01-01", "2018-02-01",
"2018-03-01", "2018-04-01",
"2018-05-01", "2018-06-01", "2018-07-01",
"2018-08-01", "2018-09-01",
"2018-10-01", "2018-11-01", "2018-12-01",
"2019-01-01", "2019-02-01",
"2019-03-01", "2019-04-01", "2019-05-01",
"2019-06-01", "2019-07-01"
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29590180), v1001816392 = c(14810380, 14200859, 16756119, 15217622,
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18103660, 15593270, 17027143, 15580767, 17959460, 17242596, 19056997,
17565595, 15977646), v107792891 = c(72.1, 72.1, 72.1, 72.1, 72.1,
79, 79, 79, 79, 79, 79, 79, 79, 79, 81.5, 81.5, 73.8, 82.5, 113,
122.3, 139.6, 99.3, 99.9, 109.6, 113.4, 146.5, 141.8, 112.6,
91.8, 92.2, 88.8, 99.9, 98.6, 109.3, 87.7, 93.8, 122.4, 103,
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111.9, 100, 113.5, 115.1, 104.6, 125.7, 138, 155.1, 160, 135.3,
110.7, 139, 106.1, 100.3, 97.7, 92, 94.9, 92.4, 99.9, 102.8,
78.4, 84.4, 96.3, 84.4, 89.8, 107.7, 102.9, 92, 83.8, 92.2, 91.2,
103.6, 91.7, 96.2, 92.9, 96.9, 80.9, 94.6, 98.9, 91.1, 74.9,
105.3, 105.3, 90.8, 93.5, 87.4, 95, 90.2, 98, 90.6, 69.3, 56.5,
67.5, 62.4, 57, 66.6, 58.2, 68.9, 65.7, 75.5, 78.2, 76, 67.1,
70.5, 81.1, 82.5, 104.7, 95.3, 79.3, 74.5, 77.6, 81.9, 78.1,
79, 76.4, 74, 70.5, 79.3, 80.8, 78.8, 78.8, 80.4, 79.5, 79.2,
76.7, 77.8, 79.2, 80.2, 81.8, 81.3, 85.8, 73.2, 78, 80.7, 84.1,
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101.1, 101.4, 103, 103.8, 103.9, 104.1, 104.2, 104.3, 104.4,
104.5, 104.5, 104.6, 104.3, 104.3, 104.1, 104.1, 104.2, 104.3,
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468.9, 444.1, 439.8, 426.5, 450.9, 446, 455.1, 461.4, 433, 459.3,
454.2, 448.3, 438.2, 426.1, 443.3, 468.2, 448.9, 435.6, 456.8,
439.2, 445.8, 451.4, 457.7, 450.8, 457.1, 471.6, 518.1, 525.3,
573.1, 623.1, 625, 632.7, 671.6, 677.8, 672.5, 666, 643.3, 641.2,
664.9, 655.6, 644.7, 646.5, 638.5, 636.1, 619.8, 593.1, 614,
646.8, 645.4, 595.7, 584.8, 585, 588.5, 570.8, 583.5, 576.4,
585.8, 571, 554.4, 544.6, 571.3, 575.3, 583, 546, 586.4, 556.3,
555.5, 568.6, 595.9, 568.8, 575.5, 570, 576.9, 613.3, 578.4,
581.7, 564, 572, 575.5, 569.2, 550, 563.2, 565, 556.1, 540.1,
552.3, 543.4, 570.3, 550.2, 553.8, 545.8, 541.8, 542.1, 547.2,
566.7, 539.5, 526.9, 502.8, 521.6, 518.6, 505.1, 509.9, 506.5,
500.6, 483.7, 485.2, 483.3, 510.2, 515.2, 501.8, 518.3, 499.4,
507, 508.6, 503.5, 531.1, 481.2, 465.8, 479, 503.5, 491.2, 472.7,
473.3, 483.9, 485.3, 475.5, 482.1, 445.6, 484.2, 473.7, 459.1,
417.4, 423, 441.8, 421.4, 428.9, 424, 419.3, 424.3, 430.1, 438.8,
455, 418.3, 439.1, 448.1, 428.5, 428.5, 416.7, 447.4, 442.2,
460.5, 470.1, 405.2, 427.9, 448.2), v2063949 = c(5.7, 6.2, 6.3,
6.1, 5.9, 6.3, 6.2, 6.5, 6.5, 6.6, 6.9, 7.1, 7.5, 7.1, 7.3, 7,
6.9, 7.3, 6.9, 7.1, 7.2, 7.1, 6.7, 7, 6.9, 6.9, 6.6, 6.9, 7,
7, 7.1, 7, 7.4, 7, 6.7, 6.7, 6.6, 6.6, 6.8, 6.8, 6.8, 6.8, 6.7,
6.8, 6.6, 6.6, 6.9, 7, 6.6, 6.9, 6.8, 6.7, 7, 6.8, 6.7, 6.6,
6.6, 6.5, 6.1, 6.4, 6.5, 6.3, 6.2, 6.2, 6, 6, 6.6, 6.5, 6.8,
6.4, 6.4, 6.2, 6.5, 6.4, 6.5, 6.6, 6.2, 6.6, 6.5, 6.4, 6.2, 6.1,
6.3, 6.7, 6.4, 6.2, 6.5, 6.2, 6.3, 6.4, 6.5, 6.4, 6.4, 6.6, 7.3,
7.4, 8.1, 8.8, 8.8, 9, 9.5, 9.6, 9.5, 9.4, 9.1, 9, 9.3, 9.2,
9, 9.1, 9, 8.9, 8.7, 8.3, 8.6, 9, 9, 8.3, 8.2, 8.1, 8.1, 7.9,
8.1, 8, 8.1, 7.9, 7.7, 7.5, 7.9, 8, 8, 7.6, 8.1, 7.7, 7.7, 7.8,
8.2, 7.8, 7.9, 7.8, 7.9, 8.4, 7.9, 7.9, 7.7, 7.8, 7.8, 7.7, 7.5,
7.6, 7.6, 7.5, 7.3, 7.5, 7.3, 7.7, 7.4, 7.5, 7.4, 7.3, 7.3, 7.4,
7.6, 7.3, 7.1, 6.8, 7, 7, 6.8, 6.9, 6.8, 6.8, 6.5, 6.5, 6.5,
6.8, 6.9, 6.7, 7, 6.7, 6.8, 6.8, 6.7, 7.1, 6.4, 6.2, 6.4, 6.7,
6.6, 6.3, 6.3, 6.4, 6.4, 6.3, 6.4, 5.9, 6.4, 6.3, 6.1, 5.5, 5.6,
5.8, 5.5, 5.6, 5.6, 5.5, 5.6, 5.6, 5.7, 5.9, 5.4, 5.7, 5.8, 5.6,
5.6, 5.4, 5.7, 5.7, 5.9, 6, 5.2, 5.4, 5.7), v2063950 = c(67.3,
67.2, 67.3, 67.5, 67.4, 67.3, 67.3, 67.3, 67.2, 67.1, 67.3, 67.3,
67.5, 67.3, 67.4, 67.3, 67.4, 67.5, 67.5, 68, 68.2, 68.2, 68.2,
68.4, 68.4, 68.7, 68.6, 68.4, 68.4, 68.4, 68.3, 68.3, 68.7, 68.5,
68.4, 68.6, 68.5, 68.7, 68.5, 68.5, 68.4, 68.5, 68.4, 68.1, 68,
68.2, 68.3, 68.4, 67.9, 68.2, 68.1, 68.1, 68.4, 68.2, 67.9, 67.9,
68, 68, 67.6, 67.5, 67.6, 67.3, 67.4, 67.6, 67.7, 67.6, 67.9,
67.6, 67.7, 67.3, 67.4, 67.5, 67.7, 67.7, 67.8, 67.7, 67.5, 67.8,
67.9, 67.8, 67.8, 67.9, 67.8, 67.8, 67.7, 67.9, 67.9, 67.8, 67.9,
67.5, 67.5, 67.5, 67.7, 67.9, 67.5, 67.6, 67.1, 67.3, 67.3, 66.9,
66.9, 66.8, 66.9, 66.9, 66.8, 66.9, 67.1, 66.8, 67, 66.9, 66.7,
66.9, 67, 66.9, 67, 67.2, 66.8, 66.4, 66.5, 66.7, 67, 66.6, 66.8,
66.9, 66.8, 66.9, 66.6, 66.5, 66.5, 66.3, 66.5, 66.2, 66.4, 65.9,
66.2, 66.3, 66.2, 66.1, 66.2, 66, 66.1, 66.4, 66.2, 66.4, 66.2,
66.4, 66.3, 66.3, 66.3, 66.4, 66.3, 66.3, 66.2, 66.2, 66.1, 66.2,
65.9, 66.1, 66, 66, 65.8, 65.6, 66, 65.7, 65.7, 65.8, 65.6, 65.3,
65.2, 65.3, 65.3, 65.1, 65.2, 65.3, 65.3, 65.4, 65.1, 65.1, 65.1,
65.2, 65.4, 65.2, 65.2, 65.5, 65.1, 64.9, 64.6, 64.9, 64.8, 64.8,
64.8, 64.9, 65.1, 65, 64.9, 64.6, 65, 64.8, 64.8, 64.7, 64.8,
64.9, 64.9, 64.9, 64.4, 64.4, 64.4, 64.5, 64.5, 64.8, 64.8, 64.3,
64.6, 64.3, 64.4, 64.3, 64.8, 65, 65, 65.3, 64.9, 64.9, 64.8),
v2063951 = c(63.5, 63, 63.1, 63.4, 63.4, 63.1, 63.1, 63,
62.9, 62.7, 62.7, 62.5, 62.4, 62.5, 62.6, 62.6, 62.7, 62.6,
62.8, 63.2, 63.3, 63.3, 63.6, 63.6, 63.7, 64, 64.1, 63.7,
63.6, 63.6, 63.5, 63.6, 63.6, 63.7, 63.8, 64, 64, 64.1, 63.8,
63.8, 63.8, 63.8, 63.9, 63.5, 63.5, 63.7, 63.7, 63.6, 63.4,
63.5, 63.4, 63.5, 63.6, 63.5, 63.4, 63.4, 63.5, 63.5, 63.5,
63.2, 63.2, 63, 63.2, 63.4, 63.6, 63.5, 63.4, 63.2, 63.1,
62.9, 63.1, 63.4, 63.3, 63.4, 63.4, 63.2, 63.3, 63.3, 63.5,
63.4, 63.6, 63.8, 63.5, 63.3, 63.3, 63.7, 63.5, 63.6, 63.7,
63.2, 63.1, 63.2, 63.3, 63.4, 62.6, 62.6, 61.7, 61.4, 61.3,
60.9, 60.5, 60.4, 60.6, 60.6, 60.7, 60.8, 60.9, 60.7, 60.9,
60.8, 60.7, 60.9, 61.2, 61.4, 61.3, 61.2, 60.8, 60.9, 61.1,
61.3, 61.5, 61.3, 61.4, 61.6, 61.4, 61.6, 61.5, 61.5, 61.3,
61, 61.1, 61.2, 61, 60.9, 61.1, 61.1, 60.8, 61, 60.9, 60.8,
60.9, 60.8, 60.9, 61.2, 61.1, 61.2, 61.2, 61.2, 61.3, 61.3,
61.2, 61.3, 61.3, 61.2, 61.2, 61.1, 61, 61.1, 61.1, 61.2,
61, 60.8, 61, 61, 61, 61.3, 61, 60.8, 60.7, 60.8, 60.8, 60.7,
60.9, 61, 61.1, 61, 60.6, 60.7, 60.6, 60.8, 60.9, 60.8, 60.9,
60.9, 60.9, 60.9, 60.5, 60.6, 60.6, 60.7, 60.7, 60.7, 61,
60.9, 60.8, 60.8, 60.9, 60.7, 60.9, 61.1, 61.2, 61.1, 61.3,
61.2, 60.8, 60.9, 60.8, 60.9, 60.8, 61, 61.3, 60.6, 60.8,
60.7, 60.8, 60.8, 61.1, 61.3, 61.2, 61.4, 61.5, 61.3, 61.1
), v382201 = c(212164, 193583, 215866, 211263, 222871, 215519,
219942, 216251, 207703, 212013, 207781, 219596, 222977, 202836,
225014, 217040, 223269, 212081, 211644, 208999, 200885, 207899,
204091, 216573, 218997, 195583, 215113, 206360, 214884, 208636,
214072, 211055, 206974, 211607, 205837, 215020, 216294, 201218,
216097, 209029, 216690, 207829, 211911, 212123, 205356, 211083,
205076, 212205, 212779, 191520, 213090, 209484, 215975, 205127,
207085, 209844, 201884, 206749, 200246, 208719, 211380, 190749,
209346, 200994, 207431, 198322, 201983, 200869, 196045, 199493,
195149, 205332, 207126, 185698, 207850, 205701, 216965, 209296,
215644, 214061, 205121, 209924, 204004, 213241, 217848, 203144,
213848, 206368, 212813, 200362, 202502, 202339, 195491, 201314,
196093, 206104, 208701, 190879, 213025, 208090, 217292, 210890,
216526, 213092, 206553, 209884, 204042, 211314, 212389, 192037,
213815, 208826, 216756, 207533, 210091, 212435, 204595, 209379,
203827, 210218, 212451, 192470, 214095, 208717, 217913, 212215,
217087, 218783, 209940, 214059, 208998, 220829, 223171, 208246,
222458, 215499, 221694, 213553, 219458, 221757, 214203, 221003,
214380, 221215, 220019, 197689, 218045, 210866, 218954, 209825,
212145, 218399, 210138, 215187, 206605, 211504, 212024, 192311,
212260, 207136, 215097, 210584, 218528, 220739, 214149, 218748,
208968, 216712, 218399, 197318, 223819, 221927, 234903, 228622,
233660, 231277, 221779, 227918, 220888, 231634, 235272, 220580,
233970, 226381, 235613, 227998, 234353, 235796, 230542, 239605,
233645, 245124, 248935, 226969, 252118, 245888, 253940, 242869,
249518, 250305, 242427, 251666, 242906, 253645, 257586, 236425,
262768, 252595, 262910, 254396, 254417, 252449, 241404, 246729,
237361, 248692, 251752, 228933, 256286, 249336, 255692, 247109,
251855), v41691004 = c(96.1, 96.7, 97.1, 96.6, 98, 95.7,
97, 98.2, 97.3, 98.3, 98.4, 98.6, 95.7, 98.4, 99.3, 99.7,
99.1, 100.4, 99.8, 100.5, 99.8, 99.9, 103.6, 103.7, 101.6,
104.4, 103.6, 104.1, 104.8, 104.9, 104.8, 105.2, 104.7, 103.8,
104.5, 105.7, 104.6, 105.6, 106.8, 107.1, 107, 107.1, 108.5,
108.6, 109.1, 109.6, 109.8, 109, 109.3, 110.3, 111, 111.8,
110.8, 109.9, 111.4, 111, 110.8, 111.4, 111, 111.6, 108.9,
111.2, 110.9, 111.5, 111.7, 113.2, 112.7, 112.2, 111.1, 112.6,
112.2, 113.7, 113.5, 114.2, 113.4, 114.7, 113.4, 113.8, 114,
113.9, 112.9, 114.2, 114.5, 116.7, 117.5, 120.1, 120.5, 123,
125.5, 126.9, 126.9, 128.3, 127.5, 129.4, 129.9, 131, 128.9,
130.4, 130.4, 132.6, 134.3, 133.2, 133.7, 133.4, 132.7, 134.3,
134.4, 137.5, 134.8, 137.1, 136.3, 136.6, 136, 135.8, 134.6,
135.6, 136.1, 136.4, 136.2, 138, 136.4, 137.9, 139.7, 140.2,
139.9, 140.9, 141.9, 139.8, 139.4, 140.1, 140, 142.3, 139.1,
141.3, 141.3, 141.9, 139, 140.2, 140.3, 141.2, 139.8, 145.6,
143, 142.1, 140.9, 145, 142.5, 143.6, 144, 143.6, 145.1,
144.5, 143.9, 143.4, 142.7, 142.6, 140.9, 146, 142.6, 144.2,
145.4, 143.9, 145.8, 146.2, 144.3, 143.4, 144.2, 146.8, 141.5,
147.4, 146.1, 144.8, 146.4, 144.9, 147, 146, 143.2, 142.5,
141.9, 146.1, 144.8, 146.9, 143.7, 146, 151.6, 144.1, 146.8,
145.6, 146.2, 146.3, 147.1, 148.1, 145, 145.1, 149.3, 148.6,
147.9, 148.6, 149.9, 150.4, 148.2, 150.9, 149, 151.4, 147.8,
149.5, 149.2, 149.1, 151.8, 150.9, 151.2, 150, 149.5, 152.5,
152, 153.6, 149.9, 153.7, 152.4, 149.8, 151.8, 150, 152.5
), v41691014 = c(103.9, 106.6, 106.1, 105.2, 107.6, 105.4,
108, 106.5, 102.2, 101.4, 97.5, 105.2, 102.7, 101.5, 95.5,
101.7, 99, 100.5, 101.9, 98.6, 98.2, 100.7, 97.2, 102.4,
100.9, 103.6, 105.1, 104.9, 105.3, 100.9, 104.1, 104.8, 98.1,
98.3, 101.5, 101.9, 102.2, 101.8, 95.6, 97.6, 97.9, 102.3,
98.7, 102.7, 96.4, 101.3, 98, 95.4, 95.6, 101.3, 100.6, 97.5,
101.2, 98.8, 96.1, 98.4, 92.6, 99.2, 96.9, 100, 99.5, 103.8,
103.8, 104.1, 105.7, 106.9, 104.9, 103, 95.5, 101.5, 100.8,
101.9, 104.2, 104.3, 104.5, 104.4, 105.8, 105.2, 105.5, 105.4,
98.3, 100.4, 98.3, 98, 101.7, 102.9, 110.7, 120.4, 121.3,
120.1, 121.8, 121.1, 117.8, 122.4, 133.1, 134.9, 135.2, 137.7,
140, 140.8, 140.8, 140.8, 140.5, 139.9, 135.4, 138.2, 138.6,
138.5, 137, 140.4, 139.6, 136.9, 136.5, 136.9, 137.1, 136,
130.9, 136.1, 139, 136.5, 139.4, 141.2, 143.1, 145.1, 142.5,
143.6, 142.9, 142.1, 134.4, 141.4, 139.4, 141.8, 142.4, 143.5,
143.1, 143.4, 143, 142.3, 143, 143.3, 137.5, 141.6, 141.2,
142.9, 138.9, 143.3, 143.8, 140.8, 137, 138.6, 137.8, 137.5,
132, 137.8, 136, 135.7, 136.2, 137.2, 139.6, 140.2, 140.2,
139.9, 139.8, 140, 138.9, 139.3, 138.6, 139, 138.1, 139.1,
144.6, 144.4, 143.3, 143.9, 142.9, 143.8, 143.2, 142.6, 141.5,
141.1, 145.3, 145.8, 145.2, 145.3, 140.5, 140.1, 139.7, 137.1,
134.5, 135.4, 133.6, 132.4, 132.3, 133.5, 134, 133.7, 133,
133.2, 133, 132.9, 131.3, 133.5, 133.2, 132.8, 133.4, 134,
134.5, 134.4, 134.5, 134.8, 133.5, 130.4, 130.5, 131.5, 131,
130.4, 131.3, 130.4, 131.5, 131.5, 130.7, 131.3, 130), v41691919 =
c(96.5,
97.1, 97.7, 98.1, 98.7, 98.7, 98.5, 98.5, 98.7, 98.4, 97.7,
97.7, 97.7, 98.4, 99.5, 99.5, 99.5, 99.8, 100.5, 101.3, 100.9,
101.1, 101.4, 100.4, 101.9, 102.7, 102.8, 101.8, 102.2, 102.3,
102.5, 103, 103.2, 102.9, 103.1, 103.4, 103.4, 103.6, 104,
104.1, 105, 104.8, 104.9, 104.7, 104.8, 105, 105.4, 105.3,
105.1, 105.8, 106.4, 106.5, 106.6, 106.8, 106.9, 107.5, 108.2,
107.7, 107.5, 107.6, 108.2, 107.9, 108.8, 109.1, 109.5, 109.3,
109, 109.1, 108.5, 108.4, 108.6, 108.8, 108.6, 109.7, 110.8,
111.1, 111.6, 111.1, 111.1, 110.9, 111, 110.9, 111.2, 111.1,
110.9, 111.4, 111.7, 112.5, 113.6, 114.2, 115.1, 114.8, 115.1,
113.7, 113.5, 112.8, 112.4, 113.1, 113.7, 113.2, 114, 114.2,
113.7, 113.7, 113.8, 113.9, 114.6, 114.1, 114.5, 115.1, 115.3,
115.7, 116.2, 116, 117, 117, 117.1, 117.8, 118, 117.9, 117.8,
118, 119.4, 119.9, 120.9, 120.2, 120.5, 120.6, 121.1, 121,
121, 120.3, 120.6, 121.4, 122, 122.4, 122.4, 121.6, 121.4,
121.8, 122, 122.2, 121.9, 121.3, 121.3, 122.8, 123.2, 122.9,
123, 123.2, 123.4, 123.4, 123.5, 123.3, 123.3, 123.1, 123.3,
124.6, 125.1, 125.9, 126.5, 126.9, 126.5, 126.5, 126.7, 126.8,
126.3, 125.4, 125.3, 126.2, 127.1, 126.9, 127.7, 128.2, 128.4,
128, 127.8, 127.9, 127.9, 127.5, 127.8, 128.2, 129, 129.6,
130.1, 130.4, 130.3, 129.9, 130.1, 130.6, 130.2, 130, 130.8,
131.2, 131.4, 132, 131.9, 132.1, 131.9, 131.8, 132.3, 132.3,
132.7, 132, 133.2, 134, 134.6, 134.8, 134.9, 135.3, 136,
135.9, 135.2, 135.6, 135.1, 135, 135.2, 136, 137, 137.4,
138.1, 138, 138.8), v41691920 = c(95, 95.9, 96.6, 96.8, 97.7,
98.1, 98, 97.4, 96.7, 96.8, 97.4, 98, 99, 99.9, 100.3, 100.2,
100.1, 100.9, 100.6, 100.3, 99.1, 98.5, 100.2, 100.9, 102,
102.1, 102, 102, 101.6, 102.1, 102.5, 101.6, 100.5, 100.2,
100.9, 102.2, 102.5, 102.5, 102.6, 102.2, 103.2, 103.8, 104.3,
104, 103.3, 103.7, 104.9, 105.9, 105.4, 106, 106.4, 107.2,
107.5, 107.8, 107.3, 107.3, 105.9, 105.9, 106.6, 107.6, 109,
108.8, 109.2, 108.9, 109.2, 109.5, 108.9, 109, 108.2, 108.3,
109.6, 109.5, 110.8, 112.9, 112.3, 112, 113, 112.5, 112.2,
111.9, 110.5, 110.1, 111.2, 111.7, 112.5, 113, 112.8, 113.9,
115.2, 116.1, 117, 117.1, 117.3, 117.4, 119.6, 119.7, 120.8,
121.5, 121.6, 121.8, 121.6, 122.3, 122.3, 121.2, 120.2, 120,
121.6, 122.3, 123, 123.3, 123.8, 123, 123.1, 123.1, 123.6,
123.5, 122.5, 122.2, 122.9, 124.1, 124.9, 125.2, 127.4, 127.1,
128.5, 128.9, 129.7, 129.6, 128.4, 128.1, 129.6, 129.4, 130.6,
131, 130.5, 130.9, 131.6, 130.7, 131.5, 131.9, 130.1, 130.5,
131.5, 131.5, 131.7, 133.3, 132.8, 132.9, 132.9, 133.6, 133.5,
133.5, 131.7, 132.4, 133.5, 133, 133.7, 135.1, 135.1, 135.1,
136.7, 137.8, 137.5, 136.7, 136, 135.5, 137.6, 137.7, 140.2,
140.3, 140.2, 140, 141.7, 141.9, 141.6, 141.4, 140, 141.3,
142.4, 143.6, 145.7, 146.9, 146.1, 145.1, 144, 143.8, 144,
142.4, 140.5, 140.8, 141.6, 141.5, 142.1, 142.6, 142.4, 143,
143.6, 144.1, 145.1, 144.3, 142.8, 142, 143.3, 144.3, 146.3,
146.6, 146, 147, 146.7, 148.3, 148.9, 148.1, 146.7, 146.3,
148, 150.2, 151.6, 151.9, 151.9, 151.8, 152.7, 153.7, 153.8
), v41691952 = c(97.3, 97.4, 98.9, 98.8, 99, 99.6, 99.8,
99.7, 99.2, 99.9, 99.3, 99.5, 99.5, 99.6, 100.4, 99.1, 99.3,
99, 99.4, 101.5, 100.9, 101.9, 101.6, 97.7, 101.5, 101.8,
102.2, 100.4, 102.3, 103.1, 103, 103.5, 103.6, 103.7, 103.8,
104.4, 103.9, 104.1, 104.4, 105, 105.2, 105.3, 106, 106.1,
106.3, 106.7, 107, 107.1, 107.4, 107.9, 108.2, 108.2, 108.6,
108.8, 109.2, 109.3, 109.6, 110.3, 110.4, 110.2, 111.7, 112,
112.2, 111.7, 113, 112.9, 112.5, 112.7, 112.8, 113, 112.4,
112.9, 112.9, 112.9, 113.3, 114.2, 114.2, 114.4, 114.4, 114.7,
115, 116, 115.5, 115.8, 115.6, 115.9, 116.3, 117.1, 117.5,
117.6, 119.9, 120, 119.8, 120.1, 120.6, 120.6, 120.3, 120.3,
120.2, 118.1, 118.3, 118.3, 117.8, 117.7, 117.7, 118.2, 118,
118.2, 118.6, 118.6, 118.8, 120, 121.4, 121.4, 122.9, 122.5,
122.5, 123.2, 122.8, 123, 122.4, 121.5, 122, 122.2, 123,
123.1, 123.5, 123.6, 123.6, 123.8, 123.9, 124.1, 124.3, 124.3,
124.4, 124.4, 125.2, 125.3, 125.4, 125.4, 125.2, 125.5, 125.4,
125.4, 125.9, 126.1, 126.1, 126.1, 126.4, 126.6, 127.1, 127.2,
127.4, 127.4, 128.1, 128.3, 128.8, 128.9, 129.1, 131.9, 132.4,
132.3, 132.1, 132.1, 132.1, 132.3, 132.6, 132.9, 133.4, 133.5,
133.8, 133.5, 134.1, 134.4, 134.9, 135, 135.1, 135, 135.3,
135.5, 136.1, 136.2, 136.5, 136.9, 137.5, 138, 138.5, 138.7,
138.9, 139.5, 139.9, 140.1, 140.2, 140.2, 140.5, 140.7, 140.3,
140.6, 139.8, 140, 140.1, 140.5, 140.8, 141.1, 141.7, 141.9,
141.9, 141.9, 142.1, 142.4, 142.6, 142.9, 143.2, 143.7, 143.9,
144.1, 145, 145.5, 145.8, 146.5, 146.6, 146.8, 147.3), v41691965 =
c(96.9,
97.5, 97.8, 98.7, 98.8, 98.9, 98.7, 98.9, 100, 99.4, 98.9,
98.9, 98.8, 99.5, 100.3, 100.2, 100.2, 100.5, 100.8, 100.7,
100, 99.7, 99.9, 99.5, 99.5, 100.8, 100.8, 101, 101.1, 101,
101.1, 101.1, 101.6, 101.7, 101.3, 101.5, 101.2, 101.5, 101.7,
102.2, 101.9, 101.4, 101.2, 101.3, 101.5, 101.3, 101.2, 101.2,
101.2, 101.3, 101.7, 101.3, 101.5, 101.6, 101.2, 101.5, 102.2,
101.9, 102.5, 102.5, 102.4, 102.5, 102.3, 102.3, 102.6, 101.7,
100.9, 101.3, 101.9, 102.2, 102.3, 102.1, 102.3, 103, 103.4,
103.6, 103.3, 102.9, 103.3, 103.6, 103.9, 103.6, 103.4, 103.2,
103.5, 104.9, 104.6, 104.6, 104.6, 104.4, 104.6, 104.6, 106.1,
105.6, 106, 105.9, 105.9, 106.8, 107.1, 107.6, 107.6, 107.1,
106.6, 106.3, 107.9, 107.5, 108.6, 107.6, 108.1, 109.3, 109.2,
109.2, 109.4, 108.9, 110, 109.7, 110.4, 109.7, 110.1, 110,
110.1, 110.6, 111, 110.9, 111.5, 111.7, 111.8, 112.4, 113,
113.1, 113.3, 113.1, 113.3, 114.2, 113.8, 114, 114.1, 113.9,
113.9, 113.4, 113.5, 114.2, 114.5, 114, 114.4, 115.1, 115.6,
115.6, 115.2, 115.6, 116.1, 115.5, 115.6, 115.4, 115.6, 115.6,
115.6, 116.2, 116.8, 116, 116.4, 117.6, 117.7, 119.2, 119.2,
119.6, 119.6, 119.5, 119.8, 120.7, 121, 121.6, 121.7, 122,
121.9, 122.2, 122.4, 122.3, 121.7, 121.1, 121.4, 122.3, 122.6,
123.1, 123.7, 124.1, 124.3, 123.4, 123.7, 124.1, 123.7, 123.5,
123.6, 124.4, 124.2, 124.8, 124.4, 124.8, 124.2, 123.5, 123.2,
124.1, 124.8, 122.3, 124.9, 126.4, 125.7, 126.2, 125.2, 125.2,
125.9, 125.7, 125.5, 126.6, 126.3, 125.9, 125.8, 125.3, 124.9,
125.3, 125.3, 125.7, 124.9), v41691980 = c(102.4, 103.2,
105.3, 101, 100.4, 101.2, 101.2, 101.8, 102.7, 101.9, 100.5,
99.5, 95.8, 99, 101.8, 101.8, 99, 99.1, 101, 100.9, 101.9,
101.8, 100.1, 97.8, 96.6, 98.7, 99.9, 97.6, 97.7, 94.9, 95.6,
96.1, 99.2, 98.5, 99.6, 98, 98, 99.3, 100.2, 98.9, 97.7,
96.8, 95.3, 96.5, 99.8, 100.1, 98.1, 95.7, 92, 97.2, 99.3,
97.1, 96, 93.7, 93.2, 96.1, 99.7, 99.7, 95.8, 94.7, 92.1,
92.3, 97, 93.5, 94.1, 91.8, 90.2, 92.7, 95.2, 93.9, 94.4,
90.9, 90.7, 92.5, 95.4, 96.3, 94, 90.1, 92.7, 94.2, 94.7,
95, 94.6, 92.2, 89.4, 92.5, 93.7, 91.6, 90.2, 90.4, 92.5,
93.1, 95.5, 93.1, 93, 91.2, 90.4, 92.9, 95.2, 94.7, 92.6,
89.1, 89.6, 90.6, 93.2, 93.3, 94, 88.9, 88.4, 90.2, 91.9,
92.6, 92.2, 88.2, 88, 89.7, 93.1, 95, 91.5, 88.1, 86.3, 89,
93.7, 93.7, 93.1, 91, 89.9, 90.6, 95.8, 95.4, 92, 88.6, 88.3,
92.6, 94.6, 93.3, 91.2, 88.6, 86.5, 86.5, 90, 92.1, 88.6,
85.7, 83.8, 88.7, 93, 91.4, 91.1, 88.8, 87.6, 89.1, 89.8,
90.3, 87.9, 85.4, 85.2, 89.3, 92, 93.6, 93.2, 91.7, 90.9,
91.2, 94, 95.8, 93.3, 90.4, 89.3, 91, 93.7, 93.4, 92.3, 91.5,
91.7, 91.4, 93.6, 94.9, 94.2, 89.8, 88.1, 88.7, 92.9, 93.6,
93.6, 92.6, 90.6, 91.8, 94.3, 95.3, 93.2, 89.7, 88.2, 89.3,
91, 90.2, 90.3, 89.2, 88.9, 89.7, 90.6, 91.7, 91.6, 88.1,
87.6, 88.5, 90.5, 91.7, 90.6, 89.5, 88.8, 90.1, 91.9, 93.8,
92.6, 88.9, 89, 91.1, 92.3, 92.6, 92, 90.4, 90.2), v41691988 =
c(98.2,
98.6, 97.4, 99.3, 100.4, 98.8, 97.3, 97.8, 99, 97.3, 94.9,
94.4, 95.3, 95.8, 97.8, 99.8, 99.6, 99.3, 100.4, 101.3, 101.2,
101.9, 102.9, 104.5, 106.3, 107.8, 107.7, 105.6, 104.2, 103.9,
104.2, 106.9, 106.5, 105.3, 105.9, 105.9, 107.1, 106.6, 106.8,
107, 110.4, 109, 108.6, 107.2, 106.5, 107.4, 109, 108.4,
109.5, 109.7, 110.6, 111, 110.5, 111.3, 111.7, 113.7, 116.5,
113.7, 113.1, 113.4, 115.1, 112.5, 114.3, 117.8, 116.8, 116.9,
117.7, 117, 112.1, 111.7, 112.8, 114.2, 112.7, 115.1, 118.7,
118.8, 120.3, 119.2, 118.2, 116.1, 116.6, 115.4, 117.3, 118,
118, 117.1, 117.6, 120.3, 123.7, 125.8, 125.7, 123.5, 122.5,
116.5, 113.1, 110.9, 109.2, 110.2, 111.2, 111.2, 114.5, 116.7,
114.9, 115.8, 114.4, 115, 117, 117, 118.8, 118.5, 119, 119.1,
119.5, 119, 119.9, 119.3, 118.9, 121.4, 124, 124.2, 125.8,
125.6, 127.4, 130.2, 132.4, 129.1, 128.9, 128.9, 129.5, 129.5,
130.3, 128.1, 130.2, 130.8, 132.1, 134.1, 132.3, 129.7, 129,
130.2, 130.8, 130.7, 130.1, 128.7, 130.1, 133.3, 132.3, 131.3,
131.2, 132.1, 132.3, 131.8, 131.8, 131.2, 130.8, 131.7, 132.3,
133.8, 134.1, 134.7, 134.8, 135.7, 133.9, 132.9, 131.8, 131.4,
129.2, 126.1, 123.4, 125.3, 127.3, 127.4, 128.7, 130.4, 130.6,
128.2, 125.7, 125.6, 126.5, 126.3, 125.7, 124.5, 125.6, 128.6,
130.2, 130.8, 129.5, 128.5, 128.3, 129.9, 128.8, 130.3, 134,
133, 131.7, 134.3, 133.6, 132.9, 132.7, 132.8, 134.5, 134.8,
136.5, 137, 138.6, 138.9, 139.3, 140.7, 140.7, 141.2, 142.7,
142, 138.6, 139.2, 137.4, 138.5, 137, 138, 140.5, 142.7,
143.8, 143.2, 145.2), v41691994 = c(103.8, 103.4, 100.6,
110.1, 115.3, 105.7, 96.6, 98.7, 104.8, 96.7, 88.7, 85.4,
88.7, 89.1, 96.7, 103, 100, 98.4, 101.4, 104, 104.4, 106.7,
104.5, 103, 109.3, 116.4, 115.2, 104.5, 97, 98.6, 100.1,
111.2, 109.5, 103.7, 100.5, 100.1, 107, 109.3, 110, 111.4,
127.5, 120.5, 118.5, 117.9, 116.1, 122.8, 115.3, 109.1, 114.8,
117, 123.6, 128.9, 123.8, 128.3, 133.6, 142.9, 159.4, 143.5,
127.3, 128.7, 138.8, 125.6, 132.5, 150.2, 145.2, 147.9, 154.3,
152.2, 124.9, 122.8, 123, 129, 120.7, 132.6, 149.5, 149.3,
155.3, 151.1, 149, 141.7, 143.3, 140.5, 147.8, 148.9, 152.1,
152.2, 156.6, 167.5, 182.1, 192.4, 193.9, 182, 182.2, 156.2,
122.6, 110.1, 116, 120.4, 124.5, 125.1, 137.6, 145.5, 138,
143.5, 139.8, 139.8, 144, 139.6, 144.6, 142.1, 147.5, 147.1,
144.4, 140.9, 151, 149, 148.1, 155.2, 159.2, 162, 167.1,
168.1, 177.6, 191.4, 195.8, 189.3, 189.5, 186.8, 184, 182,
177.7, 173.2, 178.2, 184.1, 190.4, 196.8, 188.7, 179.8, 182.4,
187.4, 190.7, 186.1, 179.6, 176.2, 178.2, 190.6, 189.6, 183.7,
182.2, 187, 192.5, 191.3, 191, 182.7, 181.5, 186.1, 184.4,
189.7, 191.6, 196.8, 197.9, 204.5, 200.6, 192.7, 189.9, 181.1,
167.9, 151, 131.8, 144.8, 152.6, 153.3, 162.9, 172.7, 175.8,
163.8, 150.9, 145.7, 147.3, 144.2, 136.1, 128.3, 132.2, 146.8,
152.9, 154.8, 149.5, 146.5, 145.7, 151.6, 146.7, 152.1, 163.9,
156.6, 151.8, 168.9, 163.9, 156.8, 158.8, 161.3, 172.8, 167.2,
177.8, 175.7, 180.8, 178.6, 182.5, 194.2, 198.8, 193.7, 194.8,
192, 186.6, 179.2, 161.8, 152, 146.8, 146.3, 166.2, 184,
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104.078, 68.996, 64.279, 78.005, 91.656, 85.848, 70.439,
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12764803, 12552916, 12608853, 12795617, 12750516, 12876709,
12952859, 12827097, 12887679, 12691419, 12219526, 11768893,
11971337, 12144957, 12191313, 12116405, 12224295, 12297602,
12347845, 12466555, 12569735, 12626521, 12497659, 12654901,
12729332, 12664595, 13078388, 12984005, 12842562, 12990498,
12993825, 12972340, 13039000, 13133983, 13479873, 13367799,
13335395, 13464771, 13363329, 13442441, 13465088, 13511336,
13442888, 13465232, 13516739, 13526653, 13589859, 13734948,
13860252, 13684437, 13849354, 13682966, 13668438, 13655828,
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13734294, 13844170, 13949851, 13820642, 14051575, 13898439,
14174606, 14358699, 14312287, 14272243, 14209392, 14249460,
14227780, 14452281, 14308973, 14748479, 14743171, 15010368,
15069059, 15070431, 15195531, 15255816, 15183239, 15205394,
14647813, 14945576, 15334757, 15374511, 15592985, 15798994,
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16501660, 16685866, 16457644, 16452841, 16389104, 16572296,
16682913, 16647074, 16870723, 17044004, 17229456, 17351957,
17620979, 17602540, 17854654, 18075746, 17997156, 17852577,
18009088, 18068445, 18089431, 18415992, 18478794, 18252180,
18447029, 18476603, 18431675, 18001966, 18923864, 19072002,
19036564, 19125896, 19252974, 19388570, 18913792, 18775702,
18549987, 18866029, 19106589, 19318267, 19393034, 19381921,
19635452), v52368043 = c(17055707, 16701281, 16786260, 16756166,
16426263, 17318876, 17415322, 17417988, 17467072, 16667843,
16809604, 16838837, 17656245, 17760898, 17801874, 18105941,
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18089625, 18443518, 18602047, 16896308, 18860395, 18915620,
19204737, 19105493, 19057133, 19208788, 19480899, 19674690,
19944916, 20191003, 19112930, 19976985, 19988078, 19908461,
19984769, 20052585, 20174329, 20282393, 19971041, 20011153,
20118897, 20384291, 19394115, 20528811, 20747769, 21226830,
20889921, 20835911, 21174421, 21127491, 21115706, 21262173,
21259669, 20762658, 20924455, 21128838, 20983747, 20702448,
20902061, 22345557, 21606059, 22455072, 22565907, 22270902,
22234914, 21980827, 21847268, 21946181, 21747434, 22088155,
22182948, 21347892, 21621099, 21430878, 21369303, 21760587,
22460331, 22607535, 23038099, 22220849, 22449645, 21821231,
21527176, 21186532, 19338429, 19597253, 19884704, 19771201,
20036009, 20304254, 21454669, 21050550, 21284980, 21705066,
22639281, 22690758, 22232400, 22063785, 21935778, 22036533,
22056549, 22257846, 21838250, 22219803, 22420845, 22433192,
22470460, 22707910, 23223292, 22951308, 23074595, 23073830,
23064664, 22851575, 23617734, 23483236, 23583258, 23634482,
23437658, 23930976, 23919897, 24166465, 24493107, 24053481,
23681436, 24261439, 23776686, 23773759, 23555273, 23586467,
24004817, 23802877, 23706412, 23500283, 23937931, 23774129,
23950854, 23426495, 23813338, 24075179, 24192801, 24430720,
24673059, 24276619, 24149635, 25049048, 24676187, 24825428,
25678929, 25704834, 25639134, 26020843, 26609736, 26171747,
25832302, 27524063, 25919116, 26045163, 26524824, 27370490,
27221566, 27327466, 27786373, 27642938, 27539806, 27574631,
28242316, 29454873, 29076991, 28757458, 28179964, 28507837,
28785755, 29279475, 29506538, 29536098, 29652113, 29854882,
29339135, 29688228, 30665282, 30467501, 30692879, 31064467,
31001099, 31230693, 31505904, 31660230, 31558092, 31645834,
32469843, 32170840, 32023093, 31736921, 32477853, 32189881,
31808769, 32214965, 32187342, 32060514, 31894538, 32692963,
32169342, 32134043, 32349968, 32960842, 32835304, 33065854,
32796030, 32840886, 33870331), v54027371 = c(5006719, 5067172,
5060865, 5062576, 5083254, 5072377, 5031234, 5052979, 5027204,
5043632, 5035454, 5044842, 5063238, 5093024, 5091640, 5102054,
5133352, 5142226, 5165655, 5203037, 5186307, 5174704, 5194163,
5190310, 5232432, 5210572, 5234726, 5235080, 5254050, 5245134,
5245175, 5249094, 5235952, 5262268, 5263595, 5253813, 5274263,
5265423, 5299891, 5327379, 5316191, 5331555, 5346574, 5307140,
5337742, 5347287, 5348381, 5377210, 5374212, 5383470, 5366697,
5392882, 5388985, 5416367, 5417477, 5433010, 5448853, 5441429,
5458425, 5471520, 5489243, 5495727, 5511121, 5512216, 5526438,
5537303, 5522426, 5518461, 5536277, 5501749, 5564018, 5570599,
5584461, 5593844, 5590604, 5602700, 5608632, 5616521, 5608951,
5623657, 5616005, 5645595, 5647305, 5647451, 5693895, 5691488,
5700220, 5707445, 5725799, 5728509, 5717031, 5723853, 5711995,
5719339, 5681740, 5663311, 5643435, 5611268, 5590716, 5570704,
5557739, 5536962, 5560436, 5529977, 5551949, 5574728, 5563493,
5575590, 5577965, 5587020, 5596086, 5612563, 5609016, 5626466,
5654424, 5633372, 5661574, 5667386, 5669274, 5689694, 5681104,
5701730, 5706973, 5707289, 5692449, 5724435, 5730464, 5731650,
5750310, 5739110, 5745413, 5742657, 5748606, 5744911, 5767140,
5785313, 5808618, 5816135, 5806957, 5825860, 5814678, 5800046,
5822757, 5809772, 5808239, 5818814, 5833898, 5829771, 5825801,
5833676, 5847351, 5886288, 5872335, 5876134, 5878844, 5883709,
5891947, 5885232, 5889681, 5891564, 5921837, 5931270, 5952834,
5959543, 5957751, 5970395, 5962589, 5958983, 5996099, 5997162,
5997791, 6025616, 6046802, 6043966, 6072665, 6063075, 6065666,
6115610, 6091893, 6118988, 6119637, 6126261, 6136886, 6169330,
6172147, 6198848, 6202387, 6197097, 6228521, 6219420, 6240999,
6266000, 6254684, 6277414, 6289899, 6290412, 6302735, 6343442,
6341087, 6359345, 6383177, 6364995, 6373585, 6394318, 6396556,
6406482, 6430135, 6428086, 6458862, 6470913, 6480563, 6509009,
6514678, 6545545, 6547838, 6538390, 6566127, 6566755, 6578311,
6586796, 6596265, 6592137, 6621773), v54027372 = c(698.62,
692.1, 695.87, 692.13, 690.73, 695.22, 696.41, 695.69, 699.31,
697.67, 701.01, 698.38, 698.51, 697.03, 704.24, 709.05, 708.58,
709.21, 716.46, 712.37, 715.7, 719.6, 720.31, 722.96, 716.06,
724.73, 720.79, 721.51, 722.85, 728.82, 727, 734.71, 736.25,
736.27, 737.61, 737.25, 744.83, 742.92, 744.9, 746.98, 752.13,
745.86, 750.15, 750.31, 744.13, 750.81, 755.16, 759.22, 763.57,
770.53, 764.34, 770.7, 773.6, 777.54, 775.18, 780.65, 789.71,
784.48, 782.33, 782.15, 783.23, 781.14, 783.74, 782.76, 783.53,
781.87, 787.48, 790.22, 794.1, 796.77, 793.41, 806.6, 806.36,
802.21, 813.11, 814.56, 817.25, 824.93, 824.76, 821.27, 821.08,
823.78, 831.6, 828.09, 828.79, 835.7, 833.64, 835.26, 838.09,
840.33, 838.09, 840.35, 839.84, 846.35, 846.62, 836.65, 840.76,
843.8, 846.48, 847.11, 843.82, 843.64, 844.55, 848.04, 853.68,
852.59, 856.16, 864.11, 864.09, 873.24, 870.03, 872.13, 873.52,
875.68, 883.39, 888.95, 902.33, 886.78, 891.69, 893.37, 897.82,
894.44, 896.07, 890.68, 893.01, 889.93, 887.63, 889.08, 888.93,
901.95, 894.42, 897.03, 898.32, 892.12, 895.8, 904.11, 902.56,
909.48, 912.62, 909.97, 911.16, 911.32, 911.6, 913.03, 911.93,
913.79, 916.13, 913.46, 921.64, 919.21, 916.77, 924.35, 920.2,
924, 930.44, 926.46, 930.9, 933.12, 928.53, 933.05, 938.36,
938.25, 945.34, 943.02, 944.16, 942.02, 939.85, 940.82, 950.06,
956.56, 962.54, 963.78, 955.99, 960.3, 972.32, 959.15, 966.48,
968.39, 967.04, 969.76, 962.76, 964.22, 969.64, 969.64, 974.42,
978.96, 975.58, 979.4, 970.39, 973.89, 976.8, 987.21, 985.7,
982.39, 982.7, 987.22, 987.37, 986.88, 984.19, 992.24, 1002.93,
1000.22, 1006.93, 1008.81, 1010.78, 1015.52, 1014.01, 1012.58,
1015.28, 1019.15, 1017.74, 1025.74, 1027.27, 1031.26, 1034.06,
1031.76, 1027.91, 1028.6, 1037.3, 1040.28, 1051.1, 1038.39,
1049.13), v54027376 = c(32.3, 32.2, 32.2, 32.1, 31.8, 31.6,
31.5, 31.3, 31.3, 31.4, 31.3, 31.2, 31.2, 31, 31.3, 31.3,
31.3, 31.3, 31.5, 31.4, 31.3, 31.4, 31.4, 31.4, 31.4, 31.5,
31.2, 31.3, 31.5, 31.4, 31.4, 31.5, 31.6, 31.6, 31.5, 31.5,
31.8, 31.7, 31.8, 31.8, 31.6, 31.6, 31.6, 31.5, 31.5, 31.5,
31.5, 31.5, 31.3, 31.4, 31.4, 31.3, 31.4, 31.4, 31.3, 31.5,
31.5, 31.4, 31.5, 31.4, 31.4, 31.4, 31.4, 31.3, 31.4, 31.2,
31.3, 31, 31.1, 31, 31.2, 31.3, 31.2, 30.9, 30.9, 31.1, 30.8,
30.8, 30.7, 30.8, 30.6, 30.7, 30.8, 30.8, 30.7, 30.9, 30.6,
30.7, 30.8, 31, 30.9, 30.8, 31, 31.1, 30.8, 30.1, 30.3, 30.4,
30.4, 30.3, 30.3, 30.2, 30.3, 30.4, 30.1, 30.2, 30, 30.1,
30, 30.2, 30.4, 30.6, 30.3, 30.3, 30.5, 30.5, 30.4, 30.3,
30.3, 30.5, 30.5, 30.5, 30.5, 30.2, 30.4, 30.3, 30.3, 30.4,
30.6, 30.6, 30.7, 30.6, 30.5, 30.5, 30.5, 30.7, 30.6, 30.9,
30.6, 30.6, 30.5, 30.6, 30.7, 30.2, 30.4, 30.3, 30.2, 30.2,
30.5, 30, 30.2, 30.4, 30.3, 30.1, 30.1, 30.2, 30.4, 30.4,
30.3, 30, 30, 30.1, 30.2, 30.3, 30, 30.3, 30.2, 30.2, 30.4,
30.2, 30.5, 30.6, 30.5, 30.5, 30.9, 30.2, 30.6, 30.7, 30.4,
30.8, 30.3, 30.5, 30.4, 30.5, 30.3, 30.6, 30.2, 30.1, 30.4,
30, 29.8, 30.2, 30.2, 29.9, 29.7, 29.9, 29.9, 29.8, 29.7,
30.2, 30, 30.3, 30.5, 30.4, 30, 30.3, 30.6, 30.2, 30.4, 30.4,
30.4, 30.2, 29.9, 29.9, 30, 29.5, 29.8, 29.8, 30, 30, 29.7,
29.4, 29.7), v61172 = c(22005, 20776, 22513, 21920, 22802,
22362, 23115, 22733, 21398, 22752, 22852, 23176, 22406, 20917,
21902, 21685, 22286, 22379, 22462, 24011, 21938, 23253, 22542,
23390, 22772, 21411, 23059, 21923, 22676, 22603, 22269, 23088,
21739, 22853, 23036, 22761, 24435, 22798, 23316, 22371, 23691,
25848, 26116, 26482, 24657, 25219, 23780, 25027, 23459, 20867,
21815, 21448, 22205, 22734, 21750, 21894, 21129, 22359, 21206,
23018, 21452, 20560, 23331, 22223, 24465, 22765, 23132, 22893,
22497, 24115, 23879, 24696, 23399, 21413, 24268, 23387, 25378,
24807, 23902, 26674, 24842, 27060, 25579, 27140, 25948, 23937,
27291, 26785, 26741, 28014, 26468, 30254, 28078, 31165, 27903,
30406, 28724, 25872, 26674, 28005, 28574, 28116, 27645, 28820,
26915, 29534, 29506, 29755, 25859, 25733, 27848, 27664, 29056,
28913, 27682, 28455, 28286, 28968, 27711, 31211, 26457, 25821,
29790, 28530, 32482, 31544, 32214, 33592, 30870, 34086, 31843,
33502, 32137, 30800, 31770, 30887, 31224, 34883, 31727, 34795,
33329, 37090, 35631, 36927, 36254, 34678, 35695, 34568, 36096,
35285, 36044, 36811, 34141, 35512, 34365, 34675, 34920, 33633,
33938, 35237, 35859, 34650, 34644, 35059, 34299, 35653, 35486,
35769, 36267, 35524, 36736, 36364, 36730, 36261, 37129, 37903,
37136, 38402, 38094, 39260, 39189, 38222, 39043, 38617, 38777,
38777, 38843, 39769, 40365, 40270, 40605, 40847, 40330, 39600,
40629, 40509, 41056, 40898, 40745, 41350, 41735, 41405, 41141,
41662, 40998, 39582, 41728, 42189, 43148, 42427, 42908, 44375,
43402, 44144, 43871, 44696, 44803, 43998, 44419, 45686, 45193,
44981, 46250), v66449943 = c(88.1, 86.1, 86.5, 84.6, 85.7,
85.8, 88.9, 92.4, 90.8, 90.7, 90.5, 91.6, 91.5, 90.8, 91.2,
92.4, 93.4, 91.3, 100.4, 100.8, 96.6, 101.2, 101.1, 96.7,
100.2, 100.1, 98.5, 100.4, 98.7, 97.4, 92.6, 95.2, 93.1,
96.5, 95.9, 96.1, 97.5, 99.1, 104.1, 105.8, 103, 101.9, 95.7,
94.8, 96.7, 95.1, 89.1, 89.1, 86.4, 87.3, 87.6, 86.3, 88.9,
93, 91.8, 95.2, 91.6, 85.2, 81.1, 89.4, 88.1, 86.7, 87.7,
88.4, 89.9, 90.5, 90.2, 91.9, 88.1, 86.3, 91.6, 90.9, 101.2,
101.8, 100.7, 96.8, 92.3, 92.4, 100.2, 103.2, 103.1, 106.6,
104.3, 102.1, 112.8, 113.5, 115.6, 117, 109.8, 111.8, 108.9,
112.9, 112, 117.6, 114.3, 109.5, 111.9, 112.3, 111.8, 113.7,
115.9, 119.9, 117.1, 113.6, 108.6, 105.7, 104.1, 119.6, 115.4,
114.4, 110.6, 109.1, 113.3, 111.8, 111.8, 112.3, 110.8, 110.8,
113.2, 118.3, 121.9, 123.6, 124.4, 126.2, 121.1, 120.4, 124.2,
129.5, 127.2, 124.9, 126.9, 123.5, 125.4, 127.3, 128.3, 126.3,
121, 121.8, 140.2, 142.1, 142.7, 138.8, 133.9, 135.4, 138.3,
142, 141.6, 141.3, 141.5, 142.7, 127.8, 123.3, 124.6, 126.1,
117.6, 119.1, 119.1, 122.9, 127, 130.2, 131.5, 133.5, 130.2,
132.8, 127.7, 116.6, 113.5, 118.9, 122.2, 125.1, 126.2, 126.7,
128, 128.1, 129.3, 129.7, 129, 121.8, 122.4, 127.6, 128.5,
130.3, 131.4, 131.7, 132.6, 135.2, 128, 124.9, 127.1, 130.2,
131.3, 132.8, 133.3, 134.6, 136.8, 135.7, 136, 136, 137.9,
135.8, 133.7, 129.9, 128.5, 128.5, 129.5, 131, 135.8, 136.3,
136.6, 136, 137.2, 137.9, 136, 133.2, 133.4, 134.1, 134.2,
135.5, 135.6, 136.1, 135.1, 136.8, NA), v66449950 = c(94.3,
100.4, 103.6, 103.3, 106.1, 107.5, 105.3, 103.4, 99, 98.8,
98.3, 96.9, 97.5, 102.1, 100.2, 93.9, 95.3, 93.4, 94.9, 95,
89.6, 93, 93.9, 96.3, 95.7, 101.5, 98.7, 100.9, 99.8, 94.2,
86.3, 87.9, 88, 89.7, 90.3, 89.3, 89.4, 91.8, 93.5, 92.7,
96, 97, 96.8, 95.5, 95.1, 92.4, 91.5, 94.9, 96.6, 102.1,
97.1, 97.9, 98, 94.8, 96.6, 95.8, 97.2, 99.4, 97.8, 97.8,
97, 96.8, 96.7, 97.7, 98.3, 98.7, 100, 99.1, 100.6, 96.8,
97.4, 97.8, 96.9, 102.8, 104.2, 103.4, 106.5, 104.1, 102.3,
102.3, 98, 95.6, 92.3, 95, 92.6, 97.3, 96.2, 94.6, 103.8,
103.7, 104.4, 110, 109, 106.5, 107.2, 107.9, 105, 107, 107.5,
106, 107.8, 102.7, 102, 98.4, 98.7, 96.7, 99.2, 101.7, 102.7,
104.8, 105, 104.7, 107.7, 105.7, 105.3, 106.7, 108.2, 105.3,
104.1, 107.5, 110, 112.8, 115.2, 118.5, 116.6, 115.9, 116.4,
119.1, 118.7, 122.6, 121.7, 122.3, 120.5, 121.5, 118.2, 117.2,
115.5, 118.3, 116.3, 116.5, 112.3, 117.1, 120.4, 120.3, 117.4,
120.7, 118.9, 117.8, 121.6, 123.6, 123.8, 125, 124.6, 124.8,
123.8, 124.1, 124, 128, 136.2, 141.6, 137.5, 138.2, 142,
140.3, 134.6, 140.3, 140.2, 139.4, 136.9, 137, 134.8, 136.4,
136.2, 135.3, 132.9, 133.8, 134.8, 131.8, 130.5, 125.7, 128.4,
130.2, 129.9, 124, 127.5, 128.9, 127.1, 123.8, 123.8, 121.1,
118.8, 122.4, 124.3, 128.3, 130.7, 128.2, 131.7, 133.4, 132.6,
128.4, 121, 121.2, 122.5, 121.7, 123.5, 122.7, 122, 118.6,
120.6, 124, 124.9, 121.4, 118, 124, 123.3, 120, 122.5, 121.1,
122.3, 129.8, 131.4, 127.8, NA), v806086 = c(24241837, 23571783,
24044065, 24286278, 24628066, 24118928, 23617076, 23636633,
23428219, 22676196, 23634652, 23129728, 23460762, 24470816,
24710021, 25047202, 24605685, 24889031, 25374882, 25327868,
25109773, 25083430, 25307028, 24264047, 25218362, 25026529,
25123228, 24770185, 24471279, 23997307, 25100446, 22964008,
24847797, 24677891, 24855666, 24657136, 24257410, 24671333,
25042084, 25294153, 25594879, 25710661, 25392113, 25762642,
25495968, 25594992, 25046371, 24990942, 26049772, 25720141,
24908463, 24706488, 25213097, 24845513, 24526632, 25604879,
25607606, 25775948, 24928252, 25720454, 25230304, 24969882,
24588168, 24950843, 24342432, 24727389, 24207745, 24653546,
24098105, 23526031, 24359382, 25982179, 24579627, 24404161,
25000895, 24807287, 24362175, 23689711, 24144763, 23438032,
23439725, 23516262, 23790262, 21814921, 21887345, 22899655,
22230193, 22324816, 22934833, 23503414, 23954111, 23283045,
22841589, 22386978, 21842554, 19295160, 17419392, 18364375,
17905440, 18108957, 16916442, 17026042, 18751034, 18321591,
19048289, 18784796, 18924599, 19475767, 19573589, 19850904,
19804795, 20157495, 20328658, 20361279, 20061299, 20395027,
20298913, 20737329, 19902428, 20480090, 21614065, 20987752,
20921846, 20374783, 20233473, 20215808, 21174832, 21660830,
21640023, 22114244, 21850029, 22827161, 23011928, 21728327,
22257123, 22937471, 22827906, 22875554, 22170195, 22516726,
22303145, 21675434, 22247002, 21567688, 21860739, 22317023,
22207928, 22332500, 22343634, 22272300, 22054266, 22139544,
22476830, 22475093, 22870618, 22550632, 21973040, 22959343,
23266389, 23188580, 23768769, 23473685, 24108092, 23017700,
23922409, 23820985, 23428273, 23928861, 23165872, 22611064,
23647886, 23309658, 23349645, 23502513, 24672977, 24826679,
24264370, 24314700, 24691695, 24783596, 25965007, 24936109,
24148638, 24551950, 24096124, 24428453, 24656116, 24898703,
25091096, 25097671, 24932606, 25523713, 25877824, 25493931,
25584427, 25434925, 26270738, 25655031, 24154450, 24916780,
24698894, 23950081, 25547953, 25979949, 25162501, 26286322,
26227143, 26106405, 26205893, 26432292, 26910272, 26326292,
26552306, 26781714, 26338911, 26176024, 26466019, 26026198,
26637112, 26198157, 26778716, 26846047, 26409309)), row.names =
c(NA,
-223L), class = c("tbl_df", "tbl", "data.frame"))
dput() output for dts:
structure(list(X1 = c(NA_real_, NA_real_, NA_real_, NA_real_),
X2 = c(NA_real_, NA_real_, NA_real_, NA_real_), X3 = c(NA_real_,
NA_real_, NA_real_, NA_real_), X4 = c(NA_real_, NA_real_,
NA_real_, NA_real_), X5 = c(NA_real_, NA_real_, NA_real_,
NA_real_), X6 = c(NA_real_, NA_real_, NA_real_, NA_real_),
X7 = c(NA_real_, NA_real_, NA_real_, NA_real_), X8 = c(1,
120, NA, NA), X9 = c(1, 120, NA, NA), X10 = c(NA_real_, NA_real_,
NA_real_, NA_real_), X11 = c(NA_real_, NA_real_, NA_real_,
NA_real_), X12 = c(NA_real_, NA_real_, NA_real_, NA_real_
), X13 = c(NA, NA, 223, 223), X14 = c(NA_real_, NA_real_,
NA_real_, NA_real_), X15 = c(NA_real_, NA_real_, NA_real_,
NA_real_), X16 = c(NA_real_, NA_real_, NA_real_, NA_real_
), X17 = c(NA_real_, NA_real_, NA_real_, NA_real_), X18 =
c(NA_real_,
NA_real_, NA_real_, NA_real_), X19 = c(NA_real_, NA_real_,
NA_real_, NA_real_), X20 = c(NA_real_, NA_real_, NA_real_,
NA_real_), X21 = c(NA_real_, NA_real_, NA_real_, NA_real_
), X22 = c(NA_real_, NA_real_, NA_real_, NA_real_), X23 =
c(NA_real_,
NA_real_, NA_real_, NA_real_), X24 = c(NA_real_, NA_real_,
NA_real_, NA_real_), X25 = c(NA_real_, NA_real_, NA_real_,
NA_real_), X26 = c(NA_real_, NA_real_, NA_real_, NA_real_
), X27 = c(NA_real_, NA_real_, NA_real_, NA_real_), X28 =
c(NA_real_,
NA_real_, NA_real_, NA_real_), X29 = c(NA_real_, NA_real_,
NA_real_, NA_real_), X30 = c(1, 84, NA, NA), X31 = c(NA,
NA, 181, 223), X32 = c(NA_real_, NA_real_, NA_real_, NA_real_
), X33 = c(NA_real_, NA_real_, NA_real_, NA_real_), X34 =
c(NA_real_,
NA_real_, NA_real_, NA_real_), X35 = c(NA_real_, NA_real_,
NA_real_, NA_real_), X36 = c(NA_real_, NA_real_, NA_real_,
NA_real_), X37 = c(NA_real_, NA_real_, NA_real_, NA_real_
), X38 = c(NA_real_, NA_real_, NA_real_, NA_real_), X39 = c(NA,
NA, 223, 223), X40 = c(NA, NA, 223, 223), X41 = c(NA_real_,
NA_real_, NA_real_, NA_real_)), row.names = c(NA, -4L), class =
"data.frame")
dput() output for testcase1:
c(NA, NA, NA, 84.6, 85.7, 85.8, 88.9, 92.4, 90.8, 90.7, 90.5,
91.6, 91.5, 90.8, 91.2, 92.4, 93.4, 91.3, 100.4, 100.8, 96.6,
101.2, 101.1, 96.7, 100.2, 100.1, 98.5, 100.4, 98.7, 97.4, 92.6,
95.2, 93.1, 96.5, 95.9, 96.1, 97.5, 99.1, 104.1, 105.8, 103,
101.9, 95.7, 94.8, 96.7, 95.1, 89.1, 89.1, 86.4, 87.3, 87.6,
86.3, 88.9, 93, 91.8, 95.2, 91.6, 85.2, 81.1, 89.4, 88.1, 86.7,
87.7, 88.4, 89.9, 90.5, 90.2, 91.9, 88.1, 86.3, 91.6, 90.9, 101.2,
101.8, 100.7, 96.8, 92.3, 92.4, 100.2, 103.2, 103.1, 106.6, 104.3,
102.1, 112.8, 113.5, 115.6, 117, 109.8, 111.8, 108.9, 112.9,
112, 117.6, 114.3, 109.5, 111.9, 112.3, 111.8, 113.7, 115.9,
119.9, 117.1, 113.6, 108.6, 105.7, 104.1, 119.6, 115.4, 114.4,
110.6, 109.1, 113.3, 111.8, 111.8, 112.3, 110.8, 110.8, 113.2,
118.3, 121.9, 123.6, 124.4, 126.2, 121.1, 120.4, 124.2, 129.5,
127.2, 124.9, 126.9, 123.5, 125.4, 127.3, 128.3, 126.3, 121,
121.8, 140.2, 142.1, 142.7, 138.8, 133.9, 135.4, 138.3, 142,
141.6, 141.3, 141.5, 142.7, 127.8, 123.3, 124.6, 126.1, 117.6,
119.1, 119.1, 122.9, 127, 130.2, 131.5, 133.5, 130.2, 132.8,
127.7, 116.6, 113.5, 118.9, 122.2, 125.1, 126.2, 126.7, 128,
128.1, 129.3, 129.7, 129, 121.8, 122.4, 127.6, 128.5, 130.3,
131.4, 131.7, 132.6, 135.2, 128, 124.9, 127.1, 130.2, 131.3,
132.8, 133.3, 134.6, 136.8, 135.7, 136, 136, 137.9, 135.8, 133.7,
129.9, 128.5, 128.5, 129.5, 131, 135.8, 136.3, 136.6, 136, 137.2,
137.9, 136, 133.2, 133.4, 134.1, 134.2, 135.5, 135.6, 136.1,
135.1, NA, NA)
Rui Barradas
2019-Oct-30 09:17 UTC
[R] " Error in firstnonmiss:lastnonmiss : argument of length 0 "
Hello,
Is this as simple as
if ( (!is.na(dts[1,j-1])) & (!is.na(dts[3,j-1])) ) {
(change the logical operator from '|' to '&')?
The result vseries1 still has some NA's at the end of some of its series.
Hope this helps,
Rui Barradas
?s 02:05 de 30/10/19, phil at philipsmith.ca escreveu:> I am having a problem that generates the error message: " Error in
> firstnonmiss:lastnonmiss : argument of length 0 ". There is an article
> on this in stackoverflow, but I have been unable to understand it well
> enough to solve my problem. Essentially, I have a data frame with 41
> indicator series and some of the series have missing values (NAs) at the
> beginning and/or the end. I want to fill in the missing values using
> ARIMA models, via the forecast() function. It works when I use my EXTEND
> function on a single series, but it fails when I try to loop through all
> 41 series. Here is a reproducible example. Thanks for any advice.
>
> # Reproducible example
> # " Error in firstnonmiss:lastnonmiss : argument of length 0 "
> # See also stackoverflow:
>
https://stackoverflow.com/questions/27350636/r-argument-is-of-length-zero-in-if-statement
>
> library(forecast)
> library(lubridate)
> vseries <- dget("vseries.txt") # data frame containing
REF_DATE and 41
> "indicator" vectors
> dts <- dget("dts.txt") # data frame recording where NAs are in
vseries -
> they will be replaced
> testcase1 <- dget("testcase1.txt") # a vector for use in
testing
> # Function to fill in missing values (NAs) using ARIMA forecasts and
> backcasts
> EXTEND <- function(x,REF_DATE,dt1,dt2,dt3,dt4,first_date,last_date) {
> ? if (!is.na(dt1)) {
> ??? bfct = dt2-dt1+1 # number of months to backcast
> ??? revx <- ts(rev(x),frequency=12)
> ??? revx <- revx[1:(length(revx)-dt2)]
> ??? fc <- forecast(auto.arima(revx),bfct)
> ??? revx1 <- c(revx,fc$mean) # extend with forecasts (in fc$mean)
> ??? m <- month(as.POSIXlt(first_date,format="%Y-%m-%d"))
> ??? y <- year(as.POSIXlt(first_date,format="%Y-%m-%d"))
> ??? x <- as.numeric(ts(rev(revx1),start=c(y,m),frequency=12))
> ? }
> ? if (!is.na(dt3)) {
> ??? ffct <- dt4-dt3+1 # number of months to forecast
> ??? x <- x[1:(dt3-1)]
> ??? fc <- forecast(auto.arima(x),ffct)
> ??? x <- c(x,fc$mean)
> ? }
> ? return(x)
> }
> # Test EXTEND function with a single vector - apparently it works
> (testcase1_extended <- EXTEND(testcase1,vseries$REF_DATE,1,3,222,223,
> vseries$REF_DATE[1],vseries$REF_DATE[length(vseries$REF_DATE)]))
> View(cbind(testcase1,testcase1_extended))
> # Now use EXTEND to fill in the missing values in all 41 indicators in
> vseries
> # Data frame dts has NAs where no extension is required, integer values
> showing where to start and
> # where to end when extensions are required. Store extended series in
> vseries1.
> vseries1 <- vseries
> for (j in 2:(ncol(vseries))) { # j starts at 2 because column 1 in
> vseries is REF_DATE
> ? if ( (!is.na(dts[1,j-1])) | (!is.na(dts[3,j-1])) ) {
> ??? vseries1[,j] <-
>
EXTEND(vseries[,j],vseries$REF_DATE,dts[1,j-1],dts[2,j-1],dts[3,j-1],dts[4,j-1],
>
> vseries$REF_DATE[1],vseries$REF_DATE[length(vseries$REF_DATE)])
> ? }
> }
> View(vseries)
> View(vseries1)
>
> dput() output for vseries:
>
> structure(list(REF_DATE = c("2001-01-01", "2001-02-01",
"2001-03-01",
> "2001-04-01", "2001-05-01", "2001-06-01",
"2001-07-01", "2001-08-01",
> "2001-09-01", "2001-10-01", "2001-11-01",
"2001-12-01", "2002-01-01",
> "2002-02-01", "2002-03-01", "2002-04-01",
"2002-05-01", "2002-06-01",
> "2002-07-01", "2002-08-01", "2002-09-01",
"2002-10-01", "2002-11-01",
> "2002-12-01", "2003-01-01", "2003-02-01",
"2003-03-01", "2003-04-01",
> "2003-05-01", "2003-06-01", "2003-07-01",
"2003-08-01", "2003-09-01",
> "2003-10-01", "2003-11-01", "2003-12-01",
"2004-01-01", "2004-02-01",
> "2004-03-01", "2004-04-01", "2004-05-01",
"2004-06-01", "2004-07-01",
> "2004-08-01", "2004-09-01", "2004-10-01",
"2004-11-01", "2004-12-01",
> "2005-01-01", "2005-02-01", "2005-03-01",
"2005-04-01", "2005-05-01",
> "2005-06-01", "2005-07-01", "2005-08-01",
"2005-09-01", "2005-10-01",
> "2005-11-01", "2005-12-01", "2006-01-01",
"2006-02-01", "2006-03-01",
> "2006-04-01", "2006-05-01", "2006-06-01",
"2006-07-01", "2006-08-01",
> "2006-09-01", "2006-10-01", "2006-11-01",
"2006-12-01", "2007-01-01",
> "2007-02-01", "2007-03-01", "2007-04-01",
"2007-05-01", "2007-06-01",
> "2007-07-01", "2007-08-01", "2007-09-01",
"2007-10-01", "2007-11-01",
> "2007-12-01", "2008-01-01", "2008-02-01",
"2008-03-01", "2008-04-01",
> "2008-05-01", "2008-06-01", "2008-07-01",
"2008-08-01", "2008-09-01",
> "2008-10-01", "2008-11-01", "2008-12-01",
"2009-01-01", "2009-02-01",
> "2009-03-01", "2009-04-01", "2009-05-01",
"2009-06-01", "2009-07-01",
> "2009-08-01", "2009-09-01", "2009-10-01",
"2009-11-01", "2009-12-01",
> "2010-01-01", "2010-02-01", "2010-03-01",
"2010-04-01", "2010-05-01",
> "2010-06-01", "2010-07-01", "2010-08-01",
"2010-09-01", "2010-10-01",
> "2010-11-01", "2010-12-01", "2011-01-01",
"2011-02-01", "2011-03-01",
> "2011-04-01", "2011-05-01", "2011-06-01",
"2011-07-01", "2011-08-01",
> "2011-09-01", "2011-10-01", "2011-11-01",
"2011-12-01", "2012-01-01",
> "2012-02-01", "2012-03-01", "2012-04-01",
"2012-05-01", "2012-06-01",
> "2012-07-01", "2012-08-01", "2012-09-01",
"2012-10-01", "2012-11-01",
> "2012-12-01", "2013-01-01", "2013-02-01",
"2013-03-01", "2013-04-01",
> "2013-05-01", "2013-06-01", "2013-07-01",
"2013-08-01", "2013-09-01",
> "2013-10-01", "2013-11-01", "2013-12-01",
"2014-01-01", "2014-02-01",
> "2014-03-01", "2014-04-01", "2014-05-01",
"2014-06-01", "2014-07-01",
> "2014-08-01", "2014-09-01", "2014-10-01",
"2014-11-01", "2014-12-01",
> "2015-01-01", "2015-02-01", "2015-03-01",
"2015-04-01", "2015-05-01",
> "2015-06-01", "2015-07-01", "2015-08-01",
"2015-09-01", "2015-10-01",
> "2015-11-01", "2015-12-01", "2016-01-01",
"2016-02-01", "2016-03-01",
> "2016-04-01", "2016-05-01", "2016-06-01",
"2016-07-01", "2016-08-01",
> "2016-09-01", "2016-10-01", "2016-11-01",
"2016-12-01", "2017-01-01",
> "2017-02-01", "2017-03-01", "2017-04-01",
"2017-05-01", "2017-06-01",
> "2017-07-01", "2017-08-01", "2017-09-01",
"2017-10-01", "2017-11-01",
> "2017-12-01", "2018-01-01", "2018-02-01",
"2018-03-01", "2018-04-01",
> "2018-05-01", "2018-06-01", "2018-07-01",
"2018-08-01", "2018-09-01",
> "2018-10-01", "2018-11-01", "2018-12-01",
"2019-01-01", "2019-02-01",
> "2019-03-01", "2019-04-01", "2019-05-01",
"2019-06-01", "2019-07-01"
> ), v1001816015 = c(17262087, 17014344, 20247169, 19144987, 19671015,
> 19189905, 14739759, 18235434, 16623028, 19087839, 18792227, 15362864,
> 16782525, 17523910, 19390559, 19783530, 20283113, 19318846, 16124593,
> 19250140, 18889900, 20916009, 19349004, 17140428, 17531326, 17559123,
> 19401870, 18748298, 18885310, 17982314, 14912147, 15835801, 17557392,
> 18431507, 17296519, 16050211, 15215468, 16939038, 19917657, 19027956,
> 19932323, 19921644, 16315362, 18862032, 19250137, 18862111, 18665646,
> 17710225, 16863860, 17594959, 20442499, 19721391, 20471368, 20466651,
> 16013264, 19545483, 19572010, 19837635, 19794191, 18282403, 17890774,
> 17694365, 21286043, 19339429, 20363518, 20802697, 16690141, 20060353,
> 19217265, 20687952, 20886199, 18925660, 19052279, 19444846, 23024759,
> 20960798, 21284786, 20601708, 17882780, 20226914, 19443713, 21213020,
> 19984134, 17515960, 17735035, 18639461, 19708496, 20218572, 20881111,
> 20967845, 20246946, 20205727, 20951905, 23040393, 21107926, 18556973,
> 15757698, 16235071, 18220863, 17502183, 16206875, 16664295, 16443231,
> 17309836, 18065805, 18425679, 18383119, 17930175, 16093108, 17853071,
> 20468225, 18944075, 19949187, 20940064, 18679964, 20517783, 21107272,
> 20935541, 20476625, 19111285, 18591785, 18648376, 22572654, 20878866,
> 21334626, 22356452, 19273175, 22959478, 22082938, 22830337, 22337136,
> 21205679, 20255195, 21009917, 23627267, 21570319, 23091288, 23252411,
> 21004135, 22349893, 20779032, 22622782, 22804069, 19504385, 20109262,
> 20720256, 22697357, 23405692, 23330003, 22617671, 21538128, 23130117,
> 22943596, 24431094, 23449486, 21320812, 20897790, 21679882, 25197042,
> 24941550, 25904330, 24960421, 23649466, 24701113, 25754289, 27899355,
> 25196278, 24819686, 23767512, 24169080, 28917366, 27068182, 27040475,
> 28384836, 26443178, 27799087, 28229589, 28740172, 27763129, 27108195,
> 25800631, 27411304, 29036170, 27999387, 27759231, 29219186, 25857724,
> 29127423, 28085258, 28804390, 28364963, 26162758, 26152772, 26468833,
> 31455559, 29035964, 31486857, 32048318, 26815735, 29868265, 28179157,
> 28333370, 29749364, 27253403, 25959199, 26900190, 31813939, 29778379,
> 31070923, 31387782, 28663047, 30679026, 29362553, 31046824, 29820781,
> 28263730, 28062692, 28162744, 32752923, 30838600, 32865423, 30947662,
> 29590180), v1001816392 = c(14810380, 14200859, 16756119, 15217622,
> 16152695, 15734143, 11943953, 15182087, 14144821, 15327643, 15666826,
> 12873678, 14082760, 15086691, 15833563, 15883991, 16045785, 15250640,
> 12445691, 15776653, 15481482, 16487072, 15489524, 12938416, 13984446,
> 14161079, 15530205, 14786496, 14588586, 13934508, 11387684, 12738958,
> 14653137, 15079013, 13731146, 13103385, 12270059, 14238311, 16669218,
> 15938279, 16007457, 17036074, 12355149, 15533794, 15448684, 15377076,
> 14589920, 13589694, 13549648, 14624327, 15706302, 15239530, 15633935,
> 15974885, 11803449, 15736297, 15611744, 16105812, 15964696, 14282888,
> 14526761, 14449653, 16434235, 14597318, 15435231, 15712547, 11808763,
> 14862181, 14503627, 15295540, 15261211, 14585813, 15410585, 14739285,
> 17582347, 16171120, 15931155, 15565709, 12619998, 14547113, 13908728,
> 14778066, 14423148, 11701775, 12670956, 13600996, 14284120, 14157825,
> 13998465, 14543121, 12774383, 13773610, 14353232, 14770313, 13084751,
> 11637597, 9588706, 10497657, 11879518, 10586090, 9367990, 9888218,
> 9223044, 9922735, 11365570, 11658665, 11111213, 10508361, 10292744,
> 10992491, 13210908, 11847469, 12344814, 12772222, 10359995, 12464327,
> 12473841, 13137908, 13140871, 12928499, 12412546, 11481365, 14066907,
> 12082611, 13050270, 12875573, 11009100, 13447116, 13903540, 13928150,
> 13858803, 13349287, 13017205, 13136581, 14629295, 13175174, 14259088,
> 14721292, 11943999, 13855276, 13219889, 14406322, 13976428, 12348507,
> 12795753, 12884766, 14475286, 14122036, 14061445, 14563402, 12114754,
> 13444547, 13827458, 14397852, 14401695, 13108404, 12684810, 13122736,
> 15857365, 14149173, 15132604, 15077002, 13674898, 14475121, 16407589,
> 16552843, 15367514, 15446201, 14885482, 13981302, 17023925, 15389386,
> 15181518, 17365931, 15884142, 16708039, 17481246, 17751529, 17312508,
> 17964853, 17635476, 17403932, 18117391, 16708266, 16449636, 17043771,
> 14607070, 17536121, 17562680, 17898917, 17882877, 16194251, 16292556,
> 15904704, 18550339, 16665634, 18563263, 17857082, 13863082, 16254963,
> 15516553, 16359112, 17351737, 16080636, 16136849, 15070366, 17819011,
> 16691318, 17603308, 18075717, 15809284, 16585137, 16279853, 18388536,
> 18103660, 15593270, 17027143, 15580767, 17959460, 17242596, 19056997,
> 17565595, 15977646), v107792891 = c(72.1, 72.1, 72.1, 72.1, 72.1,
> 79, 79, 79, 79, 79, 79, 79, 79, 79, 81.5, 81.5, 73.8, 82.5, 113,
> 122.3, 139.6, 99.3, 99.9, 109.6, 113.4, 146.5, 141.8, 112.6,
> 91.8, 92.2, 88.8, 99.9, 98.6, 109.3, 87.7, 93.8, 122.4, 103,
> 97.9, 95.7, 99.9, 98.5, 96.3, 93.4, 100.7, 99.5, 103.9, 102.5,
> 111.9, 100, 113.5, 115.1, 104.6, 125.7, 138, 155.1, 160, 135.3,
> 110.7, 139, 106.1, 100.3, 97.7, 92, 94.9, 92.4, 99.9, 102.8,
> 78.4, 84.4, 96.3, 84.4, 89.8, 107.7, 102.9, 92, 83.8, 92.2, 91.2,
> 103.6, 91.7, 96.2, 92.9, 96.9, 80.9, 94.6, 98.9, 91.1, 74.9,
> 105.3, 105.3, 90.8, 93.5, 87.4, 95, 90.2, 98, 90.6, 69.3, 56.5,
> 67.5, 62.4, 57, 66.6, 58.2, 68.9, 65.7, 75.5, 78.2, 76, 67.1,
> 70.5, 81.1, 82.5, 104.7, 95.3, 79.3, 74.5, 77.6, 81.9, 78.1,
> 79, 76.4, 74, 70.5, 79.3, 80.8, 78.8, 78.8, 80.4, 79.5, 79.2,
> 76.7, 77.8, 79.2, 80.2, 81.8, 81.3, 85.8, 73.2, 78, 80.7, 84.1,
> 77.2, 84.1, 85.1, 82.9, 87.9, 87.1, 96.1, 92.2, 87.3, 94.1, 86.9,
> 92, 102.1, 109.1, 121.8, 111.6, 81.7, 88.4, 101.2, 94.3, 94.9,
> 95.4, 94.3, 104.2, 103.2, 99.5, 117.3, 94.6, 101.6, 108.3, 108,
> 112.6, 112.5, 112.9, 103.1, 107, 111.3, 111.7, 114.7, 107.3,
> 113.2, 115.5, 122.4, 116.1, 123.3, 108.2, 113, 123, 119.5, 107.4,
> 112.4, 109.1, 98.9, 106.8, 115.2, 115.3, 118.2, 118.1, 109.6,
> 109.3, 114.2, 116.5, 100.5, 106.8, 115.9, 101, 121.3, 112.6,
> 109.7, 109.3, 106.2, 116.7, 109, 109.3, 113.9, 107.7, 107, 110.3,
> 111.9, 127.2), v107792892 = c(59.1, 59.1, 59.1, 59.1, 59.1, 64.3,
> 64.3, 64.3, 64.3, 64.3, 64.3, 64.3, 64.3, 64.3, 66.3, 66.3, 60.7,
> 67.1, 89.2, 95.6, 107.4, 80.4, 81, 83, 84.5, 97, 95.3, 85.3,
> 77.3, 77.5, 76.1, 80.9, 80.4, 84.8, 76.3, 79, 91.3, 84, 81.9,
> 86.4, 88.4, 87.8, 86.8, 85.5, 88.9, 88.3, 90.3, 89.7, 93.8, 88.6,
> 94.8, 98.3, 93.6, 103.2, 108.5, 115.2, 117.2, 108.1, 98.2, 111,
> 97.9, 94.4, 93.9, 91.1, 96.4, 94.8, 98.7, 100.2, 88.1, 91.5,
> 96.6, 90.6, 79.7, 82.7, 87.3, 81.9, 77.4, 81.4, 80.9, 86.5, 81.4,
> 83.4, 80.8, 82.6, 77, 83.7, 85.7, 82.1, 73.4, 88.9, 88.9, 82.6,
> 83.9, 81, 87.1, 84.2, 88, 84.5, 74.2, 66.8, 74.6, 71.7, 68.4,
> 74.5, 69.6, 76.3, 74.6, 80.5, 82.3, 81.1, 76.2, 78.2, 89.9, 90.7,
> 106.8, 101.8, 92.9, 89.9, 91.4, 94.1, 91.9, 92.4, 90.8, 89.3,
> 88.2, 95.5, 97.5, 92.5, 92.5, 94.1, 93.7, 93, 90.9, 92.7, 94.8,
> 98.1, 95.4, 94.6, 97.9, 85.4, 90.7, 93.7, 96.2, 90.1, 94.8, 98.2,
> 95.1, 101.1, 101.4, 109.9, 106.4, 99.5, 110.9, 101.7, 106.6,
> 113.9, 108.9, 111.1, 101.4, 54, 88.8, 110.3, 97.3, 97.3, 106.4,
> 97.1, 120.7, 106.7, 99.2, 125.4, 83.6, 99.7, 119.9, 118.6, 121.1,
> 121.3, 123.1, 104.7, 104.2, 131.4, 114.4, 127.4, 113.1, 135,
> 128.4, 142, 116.1, 129.1, 107.3, 122.8, 143.7, 134.9, 106.7,
> 133.5, 121.5, 100.4, 121.2, 132.9, 128.5, 136.9, 149.2, 121.8,
> 131.6, 117.3, 127.2, 107.3, 110.5, 129.5, 114.6, 147.1, 119.2,
> 114.1, 118, 110.5, 141.5, 121.7, 105.2, 126.1, 114.2, 106.7,
> 135.2, 130.5, 150.4), v111955490 = c(59, 59.1, 59.4, 59.5, 59.6,
> 59.8, 59.9, 60, 60.1, 60.1, 60.3, 60.3, 60.6, 61, 61.1, 61.4,
> 61.8, 61.9, 62, 62.4, 62.4, 62.9, 63.1, 63.2, 63.3, 63.6, 63.7,
> 63.9, 64.4, 64.5, 64.8, 65.2, 65.4, 65.6, 66.2, 66.3, 66.4, 66.7,
> 66.9, 67.5, 68.2, 68.8, 68.8, 69.2, 69.3, 69.4, 69.7, 69.9, 70,
> 70.2, 70.5, 70.8, 71.2, 71.8, 71.9, 72, 72.2, 72.5, 72.6, 72.6,
> 73.1, 73.3, 73.4, 73.6, 73.8, 74.1, 74.4, 74.8, 74.9, 74.8, 75.1,
> 75.1, 75.2, 75.3, 75.4, 75.4, 75.7, 76.1, 76.2, 76.5, 76.7, 76.7,
> 77.2, 77.3, 78, 78.4, 78.6, 78.7, 78.7, 79, 79, 79.1, 79.1, 79.1,
> 79, 79.1, 79.1, 79.1, 78.9, 78.5, 78.3, 78.3, 78.4, 78.5, 78.9,
> 79.1, 79.4, 79.9, 80.2, 80, 80.2, 80.3, 80.7, 80.9, 80.8, 81,
> 81, 81.2, 81.5, 81.6, 81.8, 82.2, 82.3, 82.8, 83.3, 83.8, 84,
> 84.2, 84.4, 84.7, 85.3, 85.4, 85.5, 85.9, 86.3, 86.5, 86.9, 87.2,
> 87.3, 87.5, 87.8, 88, 88.2, 88.4, 88.5, 88.5, 88.6, 88.7, 88.8,
> 88.8, 89, 89.1, 89.1, 89.2, 89.3, 89.4, 89.5, 89.8, 89.8, 90.2,
> 90.2, 90.4, 90.4, 90.7, 90.9, 91, 91.1, 91.2, 91.2, 91.4, 91.6,
> 91.8, 92.1, 92.6, 92.8, 93.3, 93.4, 93.8, 93.9, 94.1, 94.2, 94.6,
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> 72080, 74320, 75890, 73160, 73830, 70910, 77080, 71730, 71700,
> 71440, 73600, 70030, 73910, 71780, 74220, 73980, 72180, 74590,
> 78850, 73980, 81220, 73320, 70550, 86770, 67370, 68910, 71120,
> 72460, 74740, 70800, 72760, 79610, 72920, 74290, 76720, 101550,
> 60190, 70970, 70560, 70590, 71150, 74470, 71840, 70230, 69300,
> 71960, 72530, 68620, 77810, 74260, 71340, 67720, 71970, 73330,
> 67820, 70210, 72790, 74620, 70370, 70320, 73740, 71250, 71200,
> 76850, 70010, 73020, 76190, 68980, 70820, 70170, 72000, 72100,
> 73900, 75660, 73650, 71520, 73530, 71030, 72710, 75470, 76750,
> 73720, 74040, 71920, 75250), v1996491 = c(20333104, 20404933,
> 20429451, 20443702, 20442474, 20453171, 20494907, 20469899, 20426712,
> 20423088, 20431074, 20563595, 20608707, 20722376, 20729355, 20768807,
> 21040249, 21061442, 21072385, 21386395, 21361143, 21481726, 21596243,
> 21614432, 21702298, 21736376, 21736357, 21744928, 21848072, 21846894,
> 21947454, 21940721, 22017595, 22187732, 22226844, 22379231, 22554639,
> 22641673, 22744549, 22907620, 22980134, 23092919, 23181451, 23206767,
> 23425453, 23318773, 23348036, 23517288, 23482935, 23602818, 23784278,
> 23974850, 23921664, 24074395, 24223603, 24289526, 24427768, 24503153,
> 24606727, 24715635, 24661798, 24748394, 24847099, 24906920, 25035239,
> 25153096, 25225233, 25425738, 25594618, 25555772, 25803231, 25918644,
> 26050884, 26090730, 26304952, 26332475, 26592901, 26628543, 26691191,
> 26795716, 26761208, 26875873, 26972976, 26938528, 27101037, 27180711,
> 27241360, 27354111, 27442498, 27514060, 27466513, 27514474, 27386049,
> 27517692, 27313803, 27136562, 27069115, 26962612, 26955040, 26877705,
> 26886419, 26588008, 26677212, 26851356, 26953581, 27016460, 27155400,
> 27251087, 27253169, 27300593, 27342306, 27436290, 27580341, 27686074,
> 27860430, 27878998, 28147776, 28256507, 28354370, 28557974, 28716843,
> 28861177, 29057415, 28913944, 28887173, 29038232, 29065032, 29165480,
> 29222770, 29278705, 29304052, 29449805, 29488534, 29620041, 29795842,
> 29879786, 29839111, 30084067, 30096498, 30229968, 30298304, 30287625,
> 30389211, 30484631, 30628734, 30641277, 30932839, 30736619, 30970797,
> 30851107, 30920882, 31165786, 31066548, 31258395, 31403046, 31382224,
> 31477046, 31488824, 31587271, 31728896, 31880578, 32021255, 32294373,
> 32244815, 32415589, 32434552, 32436242, 32524750, 32735158, 33033517,
> 33172260, 33441230, 33246392, 33273322, 33847198, 33389255, 33687475,
> 34049329, 33935583, 33971885, 33781778, 33706550, 33873093, 33938988,
> 33985921, 34184776, 34057971, 34092996, 34084079, 34099494, 34350509,
> 34805403, 34785441, 34875075, 35152571, 35003861, 35186315, 35518127,
> 35361642, 35984437, 36321295, 36349916, 36944209, 36901171, 36971724,
> 37173621, 37152181, 37260262, 37492044, 37517038, 37471633, 37827498,
> 37872621, 38129314, 38213257, 38064353, 38230587, 38258308, 38560349,
> 38883535, 39178365, 39132811, NA), v2063945 = c(5904.9, 5875.6,
> 5887.4, 5930.5, 5938.4, 5925, 5937.2, 5937.5, 5934.5, 5926, 5937.3,
> 5929, 5926.3, 5944.8, 5961.3, 5976.4, 5999, 5999.5, 6031.6, 6075.3,
> 6093.5, 6103, 6138.1, 6146.9, 6164.7, 6197.4, 6214, 6186, 6184.7,
> 6196, 6193, 6210, 6225.1, 6237.7, 6253.3, 6284.2, 6293.8, 6308.9,
> 6288, 6300.3, 6301.9, 6319.3, 6331.5, 6307.3, 6316.1, 6334.8,
> 6340.7, 6341, 6328.7, 6348.3, 6347.4, 6363, 6387.7, 6385.3, 6379.3,
> 6389.3, 6408.1, 6421.1, 6419.8, 6395.7, 6405.6, 6391.1, 6424,
> 6444.7, 6477.2, 6476.3, 6476.7, 6463.2, 6456, 6442.3, 6465.3,
> 6502.4, 6499.9, 6511, 6518, 6507.3, 6521.6, 6530, 6558.8, 6559.4,
> 6578.1, 6610, 6586.2, 6569.6, 6578.8, 6626.7, 6605.8, 6623, 6638.2,
> 6599.7, 6596.8, 6614, 6632.7, 6650.1, 6568, 6576.2, 6480.5, 6461.2,
> 6458.8, 6416.4, 6385.7, 6377.6, 6407.4, 6418.1, 6438, 6458.4,
> 6465.5, 6451.6, 6483.7, 6477.7, 6471.1, 6506.2, 6543.2, 6573,
> 6566.9, 6566.7, 6534.3, 6553.8, 6578.9, 6602.1, 6638.1, 6618.2,
> 6629.4, 6658.9, 6649.1, 6677.9, 6670.2, 6684.5, 6668.5, 6651.3,
> 6668.6, 6682.6, 6669.8, 6659.6, 6692.4, 6705.4, 6672.6, 6702,
> 6709.3, 6698.6, 6714.3, 6717.2, 6735.8, 6768.9, 6771.7, 6786,
> 6785.5, 6795.2, 6822.6, 6827.8, 6828.2, 6845.7, 6856.1, 6849.1,
> 6856.9, 6845.2, 6843, 6861.8, 6864.3, 6882.6, 6864.9, 6848.7,
> 6879.7, 6881.4, 6892.3, 6930.9, 6899.4, 6879.1, 6878.7, 6898.1,
> 6899.6, 6894, 6925.8, 6943.9, 6953.9, 6949.8, 6919.6, 6935, 6930.3,
> 6963.1, 6979.8, 6968.8, 6985.6, 6991, 7006.8, 7007.8, 6972.6,
> 6991.4, 7002.6, 7024.7, 7028.3, 7033.3, 7074.1, 7077.5, 7069.9,
> 7078.6, 7094.7, 7086, 7116.1, 7154.1, 7177.2, 7179.7, 7208.3,
> 7208.8, 7171.6, 7187.1, 7194.9, 7212.3, 7215.8, 7246.8, 7302.5,
> 7228.4, 7266.4, 7267.5, 7284.4, 7300.5, 7341.9, 7378.8, 7370,
> 7417.1, 7438, 7431, 7420.3), v2063948 = c(359.8, 388.7, 394.7,
> 383.6, 375.4, 395.2, 393.5, 410.6, 414, 419, 438.1, 453.4, 481,
> 457.2, 466.4, 452.4, 446.7, 469.1, 449.1, 464, 472, 469.6, 441.2,
> 461.4, 453.5, 456.9, 436.9, 459.1, 467.7, 464.8, 470.3, 464.8,
> 499.8, 467, 449.6, 448.6, 441.9, 449.4, 462.1, 456.6, 456.9,
> 460.7, 452, 456.8, 446.4, 450.5, 467.5, 478.6, 447.4, 468.4,
> 465.8, 459.4, 480.1, 466.5, 455.8, 454.5, 451.9, 449.9, 414,
> 435.2, 446.7, 433.1, 424.8, 425.3, 415.6, 416.5, 457.9, 449.5,
> 468.9, 444.1, 439.8, 426.5, 450.9, 446, 455.1, 461.4, 433, 459.3,
> 454.2, 448.3, 438.2, 426.1, 443.3, 468.2, 448.9, 435.6, 456.8,
> 439.2, 445.8, 451.4, 457.7, 450.8, 457.1, 471.6, 518.1, 525.3,
> 573.1, 623.1, 625, 632.7, 671.6, 677.8, 672.5, 666, 643.3, 641.2,
> 664.9, 655.6, 644.7, 646.5, 638.5, 636.1, 619.8, 593.1, 614,
> 646.8, 645.4, 595.7, 584.8, 585, 588.5, 570.8, 583.5, 576.4,
> 585.8, 571, 554.4, 544.6, 571.3, 575.3, 583, 546, 586.4, 556.3,
> 555.5, 568.6, 595.9, 568.8, 575.5, 570, 576.9, 613.3, 578.4,
> 581.7, 564, 572, 575.5, 569.2, 550, 563.2, 565, 556.1, 540.1,
> 552.3, 543.4, 570.3, 550.2, 553.8, 545.8, 541.8, 542.1, 547.2,
> 566.7, 539.5, 526.9, 502.8, 521.6, 518.6, 505.1, 509.9, 506.5,
> 500.6, 483.7, 485.2, 483.3, 510.2, 515.2, 501.8, 518.3, 499.4,
> 507, 508.6, 503.5, 531.1, 481.2, 465.8, 479, 503.5, 491.2, 472.7,
> 473.3, 483.9, 485.3, 475.5, 482.1, 445.6, 484.2, 473.7, 459.1,
> 417.4, 423, 441.8, 421.4, 428.9, 424, 419.3, 424.3, 430.1, 438.8,
> 455, 418.3, 439.1, 448.1, 428.5, 428.5, 416.7, 447.4, 442.2,
> 460.5, 470.1, 405.2, 427.9, 448.2), v2063949 = c(5.7, 6.2, 6.3,
> 6.1, 5.9, 6.3, 6.2, 6.5, 6.5, 6.6, 6.9, 7.1, 7.5, 7.1, 7.3, 7,
> 6.9, 7.3, 6.9, 7.1, 7.2, 7.1, 6.7, 7, 6.9, 6.9, 6.6, 6.9, 7,
> 7, 7.1, 7, 7.4, 7, 6.7, 6.7, 6.6, 6.6, 6.8, 6.8, 6.8, 6.8, 6.7,
> 6.8, 6.6, 6.6, 6.9, 7, 6.6, 6.9, 6.8, 6.7, 7, 6.8, 6.7, 6.6,
> 6.6, 6.5, 6.1, 6.4, 6.5, 6.3, 6.2, 6.2, 6, 6, 6.6, 6.5, 6.8,
> 6.4, 6.4, 6.2, 6.5, 6.4, 6.5, 6.6, 6.2, 6.6, 6.5, 6.4, 6.2, 6.1,
> 6.3, 6.7, 6.4, 6.2, 6.5, 6.2, 6.3, 6.4, 6.5, 6.4, 6.4, 6.6, 7.3,
> 7.4, 8.1, 8.8, 8.8, 9, 9.5, 9.6, 9.5, 9.4, 9.1, 9, 9.3, 9.2,
> 9, 9.1, 9, 8.9, 8.7, 8.3, 8.6, 9, 9, 8.3, 8.2, 8.1, 8.1, 7.9,
> 8.1, 8, 8.1, 7.9, 7.7, 7.5, 7.9, 8, 8, 7.6, 8.1, 7.7, 7.7, 7.8,
> 8.2, 7.8, 7.9, 7.8, 7.9, 8.4, 7.9, 7.9, 7.7, 7.8, 7.8, 7.7, 7.5,
> 7.6, 7.6, 7.5, 7.3, 7.5, 7.3, 7.7, 7.4, 7.5, 7.4, 7.3, 7.3, 7.4,
> 7.6, 7.3, 7.1, 6.8, 7, 7, 6.8, 6.9, 6.8, 6.8, 6.5, 6.5, 6.5,
> 6.8, 6.9, 6.7, 7, 6.7, 6.8, 6.8, 6.7, 7.1, 6.4, 6.2, 6.4, 6.7,
> 6.6, 6.3, 6.3, 6.4, 6.4, 6.3, 6.4, 5.9, 6.4, 6.3, 6.1, 5.5, 5.6,
> 5.8, 5.5, 5.6, 5.6, 5.5, 5.6, 5.6, 5.7, 5.9, 5.4, 5.7, 5.8, 5.6,
> 5.6, 5.4, 5.7, 5.7, 5.9, 6, 5.2, 5.4, 5.7), v2063950 = c(67.3,
> 67.2, 67.3, 67.5, 67.4, 67.3, 67.3, 67.3, 67.2, 67.1, 67.3, 67.3,
> 67.5, 67.3, 67.4, 67.3, 67.4, 67.5, 67.5, 68, 68.2, 68.2, 68.2,
> 68.4, 68.4, 68.7, 68.6, 68.4, 68.4, 68.4, 68.3, 68.3, 68.7, 68.5,
> 68.4, 68.6, 68.5, 68.7, 68.5, 68.5, 68.4, 68.5, 68.4, 68.1, 68,
> 68.2, 68.3, 68.4, 67.9, 68.2, 68.1, 68.1, 68.4, 68.2, 67.9, 67.9,
> 68, 68, 67.6, 67.5, 67.6, 67.3, 67.4, 67.6, 67.7, 67.6, 67.9,
> 67.6, 67.7, 67.3, 67.4, 67.5, 67.7, 67.7, 67.8, 67.7, 67.5, 67.8,
> 67.9, 67.8, 67.8, 67.9, 67.8, 67.8, 67.7, 67.9, 67.9, 67.8, 67.9,
> 67.5, 67.5, 67.5, 67.7, 67.9, 67.5, 67.6, 67.1, 67.3, 67.3, 66.9,
> 66.9, 66.8, 66.9, 66.9, 66.8, 66.9, 67.1, 66.8, 67, 66.9, 66.7,
> 66.9, 67, 66.9, 67, 67.2, 66.8, 66.4, 66.5, 66.7, 67, 66.6, 66.8,
> 66.9, 66.8, 66.9, 66.6, 66.5, 66.5, 66.3, 66.5, 66.2, 66.4, 65.9,
> 66.2, 66.3, 66.2, 66.1, 66.2, 66, 66.1, 66.4, 66.2, 66.4, 66.2,
> 66.4, 66.3, 66.3, 66.3, 66.4, 66.3, 66.3, 66.2, 66.2, 66.1, 66.2,
> 65.9, 66.1, 66, 66, 65.8, 65.6, 66, 65.7, 65.7, 65.8, 65.6, 65.3,
> 65.2, 65.3, 65.3, 65.1, 65.2, 65.3, 65.3, 65.4, 65.1, 65.1, 65.1,
> 65.2, 65.4, 65.2, 65.2, 65.5, 65.1, 64.9, 64.6, 64.9, 64.8, 64.8,
> 64.8, 64.9, 65.1, 65, 64.9, 64.6, 65, 64.8, 64.8, 64.7, 64.8,
> 64.9, 64.9, 64.9, 64.4, 64.4, 64.4, 64.5, 64.5, 64.8, 64.8, 64.3,
> 64.6, 64.3, 64.4, 64.3, 64.8, 65, 65, 65.3, 64.9, 64.9, 64.8),
> ??? v2063951 = c(63.5, 63, 63.1, 63.4, 63.4, 63.1, 63.1, 63,
> ??? 62.9, 62.7, 62.7, 62.5, 62.4, 62.5, 62.6, 62.6, 62.7, 62.6,
> ??? 62.8, 63.2, 63.3, 63.3, 63.6, 63.6, 63.7, 64, 64.1, 63.7,
> ??? 63.6, 63.6, 63.5, 63.6, 63.6, 63.7, 63.8, 64, 64, 64.1, 63.8,
> ??? 63.8, 63.8, 63.8, 63.9, 63.5, 63.5, 63.7, 63.7, 63.6, 63.4,
> ??? 63.5, 63.4, 63.5, 63.6, 63.5, 63.4, 63.4, 63.5, 63.5, 63.5,
> ??? 63.2, 63.2, 63, 63.2, 63.4, 63.6, 63.5, 63.4, 63.2, 63.1,
> ??? 62.9, 63.1, 63.4, 63.3, 63.4, 63.4, 63.2, 63.3, 63.3, 63.5,
> ??? 63.4, 63.6, 63.8, 63.5, 63.3, 63.3, 63.7, 63.5, 63.6, 63.7,
> ??? 63.2, 63.1, 63.2, 63.3, 63.4, 62.6, 62.6, 61.7, 61.4, 61.3,
> ??? 60.9, 60.5, 60.4, 60.6, 60.6, 60.7, 60.8, 60.9, 60.7, 60.9,
> ??? 60.8, 60.7, 60.9, 61.2, 61.4, 61.3, 61.2, 60.8, 60.9, 61.1,
> ??? 61.3, 61.5, 61.3, 61.4, 61.6, 61.4, 61.6, 61.5, 61.5, 61.3,
> ??? 61, 61.1, 61.2, 61, 60.9, 61.1, 61.1, 60.8, 61, 60.9, 60.8,
> ??? 60.9, 60.8, 60.9, 61.2, 61.1, 61.2, 61.2, 61.2, 61.3, 61.3,
> ??? 61.2, 61.3, 61.3, 61.2, 61.2, 61.1, 61, 61.1, 61.1, 61.2,
> ??? 61, 60.8, 61, 61, 61, 61.3, 61, 60.8, 60.7, 60.8, 60.8, 60.7,
> ??? 60.9, 61, 61.1, 61, 60.6, 60.7, 60.6, 60.8, 60.9, 60.8, 60.9,
> ??? 60.9, 60.9, 60.9, 60.5, 60.6, 60.6, 60.7, 60.7, 60.7, 61,
> ??? 60.9, 60.8, 60.8, 60.9, 60.7, 60.9, 61.1, 61.2, 61.1, 61.3,
> ??? 61.2, 60.8, 60.9, 60.8, 60.9, 60.8, 61, 61.3, 60.6, 60.8,
> ??? 60.7, 60.8, 60.8, 61.1, 61.3, 61.2, 61.4, 61.5, 61.3, 61.1
> ??? ), v382201 = c(212164, 193583, 215866, 211263, 222871, 215519,
> ??? 219942, 216251, 207703, 212013, 207781, 219596, 222977, 202836,
> ??? 225014, 217040, 223269, 212081, 211644, 208999, 200885, 207899,
> ??? 204091, 216573, 218997, 195583, 215113, 206360, 214884, 208636,
> ??? 214072, 211055, 206974, 211607, 205837, 215020, 216294, 201218,
> ??? 216097, 209029, 216690, 207829, 211911, 212123, 205356, 211083,
> ??? 205076, 212205, 212779, 191520, 213090, 209484, 215975, 205127,
> ??? 207085, 209844, 201884, 206749, 200246, 208719, 211380, 190749,
> ??? 209346, 200994, 207431, 198322, 201983, 200869, 196045, 199493,
> ??? 195149, 205332, 207126, 185698, 207850, 205701, 216965, 209296,
> ??? 215644, 214061, 205121, 209924, 204004, 213241, 217848, 203144,
> ??? 213848, 206368, 212813, 200362, 202502, 202339, 195491, 201314,
> ??? 196093, 206104, 208701, 190879, 213025, 208090, 217292, 210890,
> ??? 216526, 213092, 206553, 209884, 204042, 211314, 212389, 192037,
> ??? 213815, 208826, 216756, 207533, 210091, 212435, 204595, 209379,
> ??? 203827, 210218, 212451, 192470, 214095, 208717, 217913, 212215,
> ??? 217087, 218783, 209940, 214059, 208998, 220829, 223171, 208246,
> ??? 222458, 215499, 221694, 213553, 219458, 221757, 214203, 221003,
> ??? 214380, 221215, 220019, 197689, 218045, 210866, 218954, 209825,
> ??? 212145, 218399, 210138, 215187, 206605, 211504, 212024, 192311,
> ??? 212260, 207136, 215097, 210584, 218528, 220739, 214149, 218748,
> ??? 208968, 216712, 218399, 197318, 223819, 221927, 234903, 228622,
> ??? 233660, 231277, 221779, 227918, 220888, 231634, 235272, 220580,
> ??? 233970, 226381, 235613, 227998, 234353, 235796, 230542, 239605,
> ??? 233645, 245124, 248935, 226969, 252118, 245888, 253940, 242869,
> ??? 249518, 250305, 242427, 251666, 242906, 253645, 257586, 236425,
> ??? 262768, 252595, 262910, 254396, 254417, 252449, 241404, 246729,
> ??? 237361, 248692, 251752, 228933, 256286, 249336, 255692, 247109,
> ??? 251855), v41691004 = c(96.1, 96.7, 97.1, 96.6, 98, 95.7,
> ??? 97, 98.2, 97.3, 98.3, 98.4, 98.6, 95.7, 98.4, 99.3, 99.7,
> ??? 99.1, 100.4, 99.8, 100.5, 99.8, 99.9, 103.6, 103.7, 101.6,
> ??? 104.4, 103.6, 104.1, 104.8, 104.9, 104.8, 105.2, 104.7, 103.8,
> ??? 104.5, 105.7, 104.6, 105.6, 106.8, 107.1, 107, 107.1, 108.5,
> ??? 108.6, 109.1, 109.6, 109.8, 109, 109.3, 110.3, 111, 111.8,
> ??? 110.8, 109.9, 111.4, 111, 110.8, 111.4, 111, 111.6, 108.9,
> ??? 111.2, 110.9, 111.5, 111.7, 113.2, 112.7, 112.2, 111.1, 112.6,
> ??? 112.2, 113.7, 113.5, 114.2, 113.4, 114.7, 113.4, 113.8, 114,
> ??? 113.9, 112.9, 114.2, 114.5, 116.7, 117.5, 120.1, 120.5, 123,
> ??? 125.5, 126.9, 126.9, 128.3, 127.5, 129.4, 129.9, 131, 128.9,
> ??? 130.4, 130.4, 132.6, 134.3, 133.2, 133.7, 133.4, 132.7, 134.3,
> ??? 134.4, 137.5, 134.8, 137.1, 136.3, 136.6, 136, 135.8, 134.6,
> ??? 135.6, 136.1, 136.4, 136.2, 138, 136.4, 137.9, 139.7, 140.2,
> ??? 139.9, 140.9, 141.9, 139.8, 139.4, 140.1, 140, 142.3, 139.1,
> ??? 141.3, 141.3, 141.9, 139, 140.2, 140.3, 141.2, 139.8, 145.6,
> ??? 143, 142.1, 140.9, 145, 142.5, 143.6, 144, 143.6, 145.1,
> ??? 144.5, 143.9, 143.4, 142.7, 142.6, 140.9, 146, 142.6, 144.2,
> ??? 145.4, 143.9, 145.8, 146.2, 144.3, 143.4, 144.2, 146.8, 141.5,
> ??? 147.4, 146.1, 144.8, 146.4, 144.9, 147, 146, 143.2, 142.5,
> ??? 141.9, 146.1, 144.8, 146.9, 143.7, 146, 151.6, 144.1, 146.8,
> ??? 145.6, 146.2, 146.3, 147.1, 148.1, 145, 145.1, 149.3, 148.6,
> ??? 147.9, 148.6, 149.9, 150.4, 148.2, 150.9, 149, 151.4, 147.8,
> ??? 149.5, 149.2, 149.1, 151.8, 150.9, 151.2, 150, 149.5, 152.5,
> ??? 152, 153.6, 149.9, 153.7, 152.4, 149.8, 151.8, 150, 152.5
> ??? ), v41691014 = c(103.9, 106.6, 106.1, 105.2, 107.6, 105.4,
> ??? 108, 106.5, 102.2, 101.4, 97.5, 105.2, 102.7, 101.5, 95.5,
> ??? 101.7, 99, 100.5, 101.9, 98.6, 98.2, 100.7, 97.2, 102.4,
> ??? 100.9, 103.6, 105.1, 104.9, 105.3, 100.9, 104.1, 104.8, 98.1,
> ??? 98.3, 101.5, 101.9, 102.2, 101.8, 95.6, 97.6, 97.9, 102.3,
> ??? 98.7, 102.7, 96.4, 101.3, 98, 95.4, 95.6, 101.3, 100.6, 97.5,
> ??? 101.2, 98.8, 96.1, 98.4, 92.6, 99.2, 96.9, 100, 99.5, 103.8,
> ??? 103.8, 104.1, 105.7, 106.9, 104.9, 103, 95.5, 101.5, 100.8,
> ??? 101.9, 104.2, 104.3, 104.5, 104.4, 105.8, 105.2, 105.5, 105.4,
> ??? 98.3, 100.4, 98.3, 98, 101.7, 102.9, 110.7, 120.4, 121.3,
> ??? 120.1, 121.8, 121.1, 117.8, 122.4, 133.1, 134.9, 135.2, 137.7,
> ??? 140, 140.8, 140.8, 140.8, 140.5, 139.9, 135.4, 138.2, 138.6,
> ??? 138.5, 137, 140.4, 139.6, 136.9, 136.5, 136.9, 137.1, 136,
> ??? 130.9, 136.1, 139, 136.5, 139.4, 141.2, 143.1, 145.1, 142.5,
> ??? 143.6, 142.9, 142.1, 134.4, 141.4, 139.4, 141.8, 142.4, 143.5,
> ??? 143.1, 143.4, 143, 142.3, 143, 143.3, 137.5, 141.6, 141.2,
> ??? 142.9, 138.9, 143.3, 143.8, 140.8, 137, 138.6, 137.8, 137.5,
> ??? 132, 137.8, 136, 135.7, 136.2, 137.2, 139.6, 140.2, 140.2,
> ??? 139.9, 139.8, 140, 138.9, 139.3, 138.6, 139, 138.1, 139.1,
> ??? 144.6, 144.4, 143.3, 143.9, 142.9, 143.8, 143.2, 142.6, 141.5,
> ??? 141.1, 145.3, 145.8, 145.2, 145.3, 140.5, 140.1, 139.7, 137.1,
> ??? 134.5, 135.4, 133.6, 132.4, 132.3, 133.5, 134, 133.7, 133,
> ??? 133.2, 133, 132.9, 131.3, 133.5, 133.2, 132.8, 133.4, 134,
> ??? 134.5, 134.4, 134.5, 134.8, 133.5, 130.4, 130.5, 131.5, 131,
> ??? 130.4, 131.3, 130.4, 131.5, 131.5, 130.7, 131.3, 130), v41691919 =
> c(96.5,
> ??? 97.1, 97.7, 98.1, 98.7, 98.7, 98.5, 98.5, 98.7, 98.4, 97.7,
> ??? 97.7, 97.7, 98.4, 99.5, 99.5, 99.5, 99.8, 100.5, 101.3, 100.9,
> ??? 101.1, 101.4, 100.4, 101.9, 102.7, 102.8, 101.8, 102.2, 102.3,
> ??? 102.5, 103, 103.2, 102.9, 103.1, 103.4, 103.4, 103.6, 104,
> ??? 104.1, 105, 104.8, 104.9, 104.7, 104.8, 105, 105.4, 105.3,
> ??? 105.1, 105.8, 106.4, 106.5, 106.6, 106.8, 106.9, 107.5, 108.2,
> ??? 107.7, 107.5, 107.6, 108.2, 107.9, 108.8, 109.1, 109.5, 109.3,
> ??? 109, 109.1, 108.5, 108.4, 108.6, 108.8, 108.6, 109.7, 110.8,
> ??? 111.1, 111.6, 111.1, 111.1, 110.9, 111, 110.9, 111.2, 111.1,
> ??? 110.9, 111.4, 111.7, 112.5, 113.6, 114.2, 115.1, 114.8, 115.1,
> ??? 113.7, 113.5, 112.8, 112.4, 113.1, 113.7, 113.2, 114, 114.2,
> ??? 113.7, 113.7, 113.8, 113.9, 114.6, 114.1, 114.5, 115.1, 115.3,
> ??? 115.7, 116.2, 116, 117, 117, 117.1, 117.8, 118, 117.9, 117.8,
> ??? 118, 119.4, 119.9, 120.9, 120.2, 120.5, 120.6, 121.1, 121,
> ??? 121, 120.3, 120.6, 121.4, 122, 122.4, 122.4, 121.6, 121.4,
> ??? 121.8, 122, 122.2, 121.9, 121.3, 121.3, 122.8, 123.2, 122.9,
> ??? 123, 123.2, 123.4, 123.4, 123.5, 123.3, 123.3, 123.1, 123.3,
> ??? 124.6, 125.1, 125.9, 126.5, 126.9, 126.5, 126.5, 126.7, 126.8,
> ??? 126.3, 125.4, 125.3, 126.2, 127.1, 126.9, 127.7, 128.2, 128.4,
> ??? 128, 127.8, 127.9, 127.9, 127.5, 127.8, 128.2, 129, 129.6,
> ??? 130.1, 130.4, 130.3, 129.9, 130.1, 130.6, 130.2, 130, 130.8,
> ??? 131.2, 131.4, 132, 131.9, 132.1, 131.9, 131.8, 132.3, 132.3,
> ??? 132.7, 132, 133.2, 134, 134.6, 134.8, 134.9, 135.3, 136,
> ??? 135.9, 135.2, 135.6, 135.1, 135, 135.2, 136, 137, 137.4,
> ??? 138.1, 138, 138.8), v41691920 = c(95, 95.9, 96.6, 96.8, 97.7,
> ??? 98.1, 98, 97.4, 96.7, 96.8, 97.4, 98, 99, 99.9, 100.3, 100.2,
> ??? 100.1, 100.9, 100.6, 100.3, 99.1, 98.5, 100.2, 100.9, 102,
> ??? 102.1, 102, 102, 101.6, 102.1, 102.5, 101.6, 100.5, 100.2,
> ??? 100.9, 102.2, 102.5, 102.5, 102.6, 102.2, 103.2, 103.8, 104.3,
> ??? 104, 103.3, 103.7, 104.9, 105.9, 105.4, 106, 106.4, 107.2,
> ??? 107.5, 107.8, 107.3, 107.3, 105.9, 105.9, 106.6, 107.6, 109,
> ??? 108.8, 109.2, 108.9, 109.2, 109.5, 108.9, 109, 108.2, 108.3,
> ??? 109.6, 109.5, 110.8, 112.9, 112.3, 112, 113, 112.5, 112.2,
> ??? 111.9, 110.5, 110.1, 111.2, 111.7, 112.5, 113, 112.8, 113.9,
> ??? 115.2, 116.1, 117, 117.1, 117.3, 117.4, 119.6, 119.7, 120.8,
> ??? 121.5, 121.6, 121.8, 121.6, 122.3, 122.3, 121.2, 120.2, 120,
> ??? 121.6, 122.3, 123, 123.3, 123.8, 123, 123.1, 123.1, 123.6,
> ??? 123.5, 122.5, 122.2, 122.9, 124.1, 124.9, 125.2, 127.4, 127.1,
> ??? 128.5, 128.9, 129.7, 129.6, 128.4, 128.1, 129.6, 129.4, 130.6,
> ??? 131, 130.5, 130.9, 131.6, 130.7, 131.5, 131.9, 130.1, 130.5,
> ??? 131.5, 131.5, 131.7, 133.3, 132.8, 132.9, 132.9, 133.6, 133.5,
> ??? 133.5, 131.7, 132.4, 133.5, 133, 133.7, 135.1, 135.1, 135.1,
> ??? 136.7, 137.8, 137.5, 136.7, 136, 135.5, 137.6, 137.7, 140.2,
> ??? 140.3, 140.2, 140, 141.7, 141.9, 141.6, 141.4, 140, 141.3,
> ??? 142.4, 143.6, 145.7, 146.9, 146.1, 145.1, 144, 143.8, 144,
> ??? 142.4, 140.5, 140.8, 141.6, 141.5, 142.1, 142.6, 142.4, 143,
> ??? 143.6, 144.1, 145.1, 144.3, 142.8, 142, 143.3, 144.3, 146.3,
> ??? 146.6, 146, 147, 146.7, 148.3, 148.9, 148.1, 146.7, 146.3,
> ??? 148, 150.2, 151.6, 151.9, 151.9, 151.8, 152.7, 153.7, 153.8
> ??? ), v41691952 = c(97.3, 97.4, 98.9, 98.8, 99, 99.6, 99.8,
> ??? 99.7, 99.2, 99.9, 99.3, 99.5, 99.5, 99.6, 100.4, 99.1, 99.3,
> ??? 99, 99.4, 101.5, 100.9, 101.9, 101.6, 97.7, 101.5, 101.8,
> ??? 102.2, 100.4, 102.3, 103.1, 103, 103.5, 103.6, 103.7, 103.8,
> ??? 104.4, 103.9, 104.1, 104.4, 105, 105.2, 105.3, 106, 106.1,
> ??? 106.3, 106.7, 107, 107.1, 107.4, 107.9, 108.2, 108.2, 108.6,
> ??? 108.8, 109.2, 109.3, 109.6, 110.3, 110.4, 110.2, 111.7, 112,
> ??? 112.2, 111.7, 113, 112.9, 112.5, 112.7, 112.8, 113, 112.4,
> ??? 112.9, 112.9, 112.9, 113.3, 114.2, 114.2, 114.4, 114.4, 114.7,
> ??? 115, 116, 115.5, 115.8, 115.6, 115.9, 116.3, 117.1, 117.5,
> ??? 117.6, 119.9, 120, 119.8, 120.1, 120.6, 120.6, 120.3, 120.3,
> ??? 120.2, 118.1, 118.3, 118.3, 117.8, 117.7, 117.7, 118.2, 118,
> ??? 118.2, 118.6, 118.6, 118.8, 120, 121.4, 121.4, 122.9, 122.5,
> ??? 122.5, 123.2, 122.8, 123, 122.4, 121.5, 122, 122.2, 123,
> ??? 123.1, 123.5, 123.6, 123.6, 123.8, 123.9, 124.1, 124.3, 124.3,
> ??? 124.4, 124.4, 125.2, 125.3, 125.4, 125.4, 125.2, 125.5, 125.4,
> ??? 125.4, 125.9, 126.1, 126.1, 126.1, 126.4, 126.6, 127.1, 127.2,
> ??? 127.4, 127.4, 128.1, 128.3, 128.8, 128.9, 129.1, 131.9, 132.4,
> ??? 132.3, 132.1, 132.1, 132.1, 132.3, 132.6, 132.9, 133.4, 133.5,
> ??? 133.8, 133.5, 134.1, 134.4, 134.9, 135, 135.1, 135, 135.3,
> ??? 135.5, 136.1, 136.2, 136.5, 136.9, 137.5, 138, 138.5, 138.7,
> ??? 138.9, 139.5, 139.9, 140.1, 140.2, 140.2, 140.5, 140.7, 140.3,
> ??? 140.6, 139.8, 140, 140.1, 140.5, 140.8, 141.1, 141.7, 141.9,
> ??? 141.9, 141.9, 142.1, 142.4, 142.6, 142.9, 143.2, 143.7, 143.9,
> ??? 144.1, 145, 145.5, 145.8, 146.5, 146.6, 146.8, 147.3), v41691965 =
> c(96.9,
> ??? 97.5, 97.8, 98.7, 98.8, 98.9, 98.7, 98.9, 100, 99.4, 98.9,
> ??? 98.9, 98.8, 99.5, 100.3, 100.2, 100.2, 100.5, 100.8, 100.7,
> ??? 100, 99.7, 99.9, 99.5, 99.5, 100.8, 100.8, 101, 101.1, 101,
> ??? 101.1, 101.1, 101.6, 101.7, 101.3, 101.5, 101.2, 101.5, 101.7,
> ??? 102.2, 101.9, 101.4, 101.2, 101.3, 101.5, 101.3, 101.2, 101.2,
> ??? 101.2, 101.3, 101.7, 101.3, 101.5, 101.6, 101.2, 101.5, 102.2,
> ??? 101.9, 102.5, 102.5, 102.4, 102.5, 102.3, 102.3, 102.6, 101.7,
> ??? 100.9, 101.3, 101.9, 102.2, 102.3, 102.1, 102.3, 103, 103.4,
> ??? 103.6, 103.3, 102.9, 103.3, 103.6, 103.9, 103.6, 103.4, 103.2,
> ??? 103.5, 104.9, 104.6, 104.6, 104.6, 104.4, 104.6, 104.6, 106.1,
> ??? 105.6, 106, 105.9, 105.9, 106.8, 107.1, 107.6, 107.6, 107.1,
> ??? 106.6, 106.3, 107.9, 107.5, 108.6, 107.6, 108.1, 109.3, 109.2,
> ??? 109.2, 109.4, 108.9, 110, 109.7, 110.4, 109.7, 110.1, 110,
> ??? 110.1, 110.6, 111, 110.9, 111.5, 111.7, 111.8, 112.4, 113,
> ??? 113.1, 113.3, 113.1, 113.3, 114.2, 113.8, 114, 114.1, 113.9,
> ??? 113.9, 113.4, 113.5, 114.2, 114.5, 114, 114.4, 115.1, 115.6,
> ??? 115.6, 115.2, 115.6, 116.1, 115.5, 115.6, 115.4, 115.6, 115.6,
> ??? 115.6, 116.2, 116.8, 116, 116.4, 117.6, 117.7, 119.2, 119.2,
> ??? 119.6, 119.6, 119.5, 119.8, 120.7, 121, 121.6, 121.7, 122,
> ??? 121.9, 122.2, 122.4, 122.3, 121.7, 121.1, 121.4, 122.3, 122.6,
> ??? 123.1, 123.7, 124.1, 124.3, 123.4, 123.7, 124.1, 123.7, 123.5,
> ??? 123.6, 124.4, 124.2, 124.8, 124.4, 124.8, 124.2, 123.5, 123.2,
> ??? 124.1, 124.8, 122.3, 124.9, 126.4, 125.7, 126.2, 125.2, 125.2,
> ??? 125.9, 125.7, 125.5, 126.6, 126.3, 125.9, 125.8, 125.3, 124.9,
> ??? 125.3, 125.3, 125.7, 124.9), v41691980 = c(102.4, 103.2,
> ??? 105.3, 101, 100.4, 101.2, 101.2, 101.8, 102.7, 101.9, 100.5,
> ??? 99.5, 95.8, 99, 101.8, 101.8, 99, 99.1, 101, 100.9, 101.9,
> ??? 101.8, 100.1, 97.8, 96.6, 98.7, 99.9, 97.6, 97.7, 94.9, 95.6,
> ??? 96.1, 99.2, 98.5, 99.6, 98, 98, 99.3, 100.2, 98.9, 97.7,
> ??? 96.8, 95.3, 96.5, 99.8, 100.1, 98.1, 95.7, 92, 97.2, 99.3,
> ??? 97.1, 96, 93.7, 93.2, 96.1, 99.7, 99.7, 95.8, 94.7, 92.1,
> ??? 92.3, 97, 93.5, 94.1, 91.8, 90.2, 92.7, 95.2, 93.9, 94.4,
> ??? 90.9, 90.7, 92.5, 95.4, 96.3, 94, 90.1, 92.7, 94.2, 94.7,
> ??? 95, 94.6, 92.2, 89.4, 92.5, 93.7, 91.6, 90.2, 90.4, 92.5,
> ??? 93.1, 95.5, 93.1, 93, 91.2, 90.4, 92.9, 95.2, 94.7, 92.6,
> ??? 89.1, 89.6, 90.6, 93.2, 93.3, 94, 88.9, 88.4, 90.2, 91.9,
> ??? 92.6, 92.2, 88.2, 88, 89.7, 93.1, 95, 91.5, 88.1, 86.3, 89,
> ??? 93.7, 93.7, 93.1, 91, 89.9, 90.6, 95.8, 95.4, 92, 88.6, 88.3,
> ??? 92.6, 94.6, 93.3, 91.2, 88.6, 86.5, 86.5, 90, 92.1, 88.6,
> ??? 85.7, 83.8, 88.7, 93, 91.4, 91.1, 88.8, 87.6, 89.1, 89.8,
> ??? 90.3, 87.9, 85.4, 85.2, 89.3, 92, 93.6, 93.2, 91.7, 90.9,
> ??? 91.2, 94, 95.8, 93.3, 90.4, 89.3, 91, 93.7, 93.4, 92.3, 91.5,
> ??? 91.7, 91.4, 93.6, 94.9, 94.2, 89.8, 88.1, 88.7, 92.9, 93.6,
> ??? 93.6, 92.6, 90.6, 91.8, 94.3, 95.3, 93.2, 89.7, 88.2, 89.3,
> ??? 91, 90.2, 90.3, 89.2, 88.9, 89.7, 90.6, 91.7, 91.6, 88.1,
> ??? 87.6, 88.5, 90.5, 91.7, 90.6, 89.5, 88.8, 90.1, 91.9, 93.8,
> ??? 92.6, 88.9, 89, 91.1, 92.3, 92.6, 92, 90.4, 90.2), v41691988 = c(98.2,
> ??? 98.6, 97.4, 99.3, 100.4, 98.8, 97.3, 97.8, 99, 97.3, 94.9,
> ??? 94.4, 95.3, 95.8, 97.8, 99.8, 99.6, 99.3, 100.4, 101.3, 101.2,
> ??? 101.9, 102.9, 104.5, 106.3, 107.8, 107.7, 105.6, 104.2, 103.9,
> ??? 104.2, 106.9, 106.5, 105.3, 105.9, 105.9, 107.1, 106.6, 106.8,
> ??? 107, 110.4, 109, 108.6, 107.2, 106.5, 107.4, 109, 108.4,
> ??? 109.5, 109.7, 110.6, 111, 110.5, 111.3, 111.7, 113.7, 116.5,
> ??? 113.7, 113.1, 113.4, 115.1, 112.5, 114.3, 117.8, 116.8, 116.9,
> ??? 117.7, 117, 112.1, 111.7, 112.8, 114.2, 112.7, 115.1, 118.7,
> ??? 118.8, 120.3, 119.2, 118.2, 116.1, 116.6, 115.4, 117.3, 118,
> ??? 118, 117.1, 117.6, 120.3, 123.7, 125.8, 125.7, 123.5, 122.5,
> ??? 116.5, 113.1, 110.9, 109.2, 110.2, 111.2, 111.2, 114.5, 116.7,
> ??? 114.9, 115.8, 114.4, 115, 117, 117, 118.8, 118.5, 119, 119.1,
> ??? 119.5, 119, 119.9, 119.3, 118.9, 121.4, 124, 124.2, 125.8,
> ??? 125.6, 127.4, 130.2, 132.4, 129.1, 128.9, 128.9, 129.5, 129.5,
> ??? 130.3, 128.1, 130.2, 130.8, 132.1, 134.1, 132.3, 129.7, 129,
> ??? 130.2, 130.8, 130.7, 130.1, 128.7, 130.1, 133.3, 132.3, 131.3,
> ??? 131.2, 132.1, 132.3, 131.8, 131.8, 131.2, 130.8, 131.7, 132.3,
> ??? 133.8, 134.1, 134.7, 134.8, 135.7, 133.9, 132.9, 131.8, 131.4,
> ??? 129.2, 126.1, 123.4, 125.3, 127.3, 127.4, 128.7, 130.4, 130.6,
> ??? 128.2, 125.7, 125.6, 126.5, 126.3, 125.7, 124.5, 125.6, 128.6,
> ??? 130.2, 130.8, 129.5, 128.5, 128.3, 129.9, 128.8, 130.3, 134,
> ??? 133, 131.7, 134.3, 133.6, 132.9, 132.7, 132.8, 134.5, 134.8,
> ??? 136.5, 137, 138.6, 138.9, 139.3, 140.7, 140.7, 141.2, 142.7,
> ??? 142, 138.6, 139.2, 137.4, 138.5, 137, 138, 140.5, 142.7,
> ??? 143.8, 143.2, 145.2), v41691994 = c(103.8, 103.4, 100.6,
> ??? 110.1, 115.3, 105.7, 96.6, 98.7, 104.8, 96.7, 88.7, 85.4,
> ??? 88.7, 89.1, 96.7, 103, 100, 98.4, 101.4, 104, 104.4, 106.7,
> ??? 104.5, 103, 109.3, 116.4, 115.2, 104.5, 97, 98.6, 100.1,
> ??? 111.2, 109.5, 103.7, 100.5, 100.1, 107, 109.3, 110, 111.4,
> ??? 127.5, 120.5, 118.5, 117.9, 116.1, 122.8, 115.3, 109.1, 114.8,
> ??? 117, 123.6, 128.9, 123.8, 128.3, 133.6, 142.9, 159.4, 143.5,
> ??? 127.3, 128.7, 138.8, 125.6, 132.5, 150.2, 145.2, 147.9, 154.3,
> ??? 152.2, 124.9, 122.8, 123, 129, 120.7, 132.6, 149.5, 149.3,
> ??? 155.3, 151.1, 149, 141.7, 143.3, 140.5, 147.8, 148.9, 152.1,
> ??? 152.2, 156.6, 167.5, 182.1, 192.4, 193.9, 182, 182.2, 156.2,
> ??? 122.6, 110.1, 116, 120.4, 124.5, 125.1, 137.6, 145.5, 138,
> ??? 143.5, 139.8, 139.8, 144, 139.6, 144.6, 142.1, 147.5, 147.1,
> ??? 144.4, 140.9, 151, 149, 148.1, 155.2, 159.2, 162, 167.1,
> ??? 168.1, 177.6, 191.4, 195.8, 189.3, 189.5, 186.8, 184, 182,
> ??? 177.7, 173.2, 178.2, 184.1, 190.4, 196.8, 188.7, 179.8, 182.4,
> ??? 187.4, 190.7, 186.1, 179.6, 176.2, 178.2, 190.6, 189.6, 183.7,
> ??? 182.2, 187, 192.5, 191.3, 191, 182.7, 181.5, 186.1, 184.4,
> ??? 189.7, 191.6, 196.8, 197.9, 204.5, 200.6, 192.7, 189.9, 181.1,
> ??? 167.9, 151, 131.8, 144.8, 152.6, 153.3, 162.9, 172.7, 175.8,
> ??? 163.8, 150.9, 145.7, 147.3, 144.2, 136.1, 128.3, 132.2, 146.8,
> ??? 152.9, 154.8, 149.5, 146.5, 145.7, 151.6, 146.7, 152.1, 163.9,
> ??? 156.6, 151.8, 168.9, 163.9, 156.8, 158.8, 161.3, 172.8, 167.2,
> ??? 177.8, 175.7, 180.8, 178.6, 182.5, 194.2, 198.8, 193.7, 194.8,
> ??? 192, 186.6, 179.2, 161.8, 152, 146.8, 146.3, 166.2, 184,
> ??? 186.9, 174.6, 183.5), v42170711 = c(1170046, 1167260, 1172192,
> ??? 1173559, 1173865, 1163159, 1173230, 1168291, 1148136, 1135730,
> ??? 1176671, 1184706, 1186957, 1177962, 1194820, 1192486, 1204268,
> ??? 1196677, 1198166, 1192339, 1188059, 1189860, 1195524, 1179193,
> ??? 1160881, 1156255, 1154137, 1151079, 1223651, 1193786, 1187791,
> ??? 1185070, 1222101, 1233158, 1222271, 1205916, 1211049, 1237429,
> ??? 1221806, 1288146, 1268949, 1239192, 1259979, 1259944, 1257909,
> ??? 1229472, 1206627, 1245003, 1262388, 1269395, 1276432, 1277248,
> ??? 1261277, 1291593, 1298114, 1305550, 1267413, 1294688, 1295694,
> ??? 1317484, 1333362, 1330478, 1362024, 1326774, 1319396, 1318673,
> ??? 1334044, 1346594, 1339499, 1363158, 1404445, 1434255, 1396545,
> ??? 1355204, 1367796, 1352577, 1349119, 1374720, 1398253, 1369215,
> ??? 1413653, 1431392, 1421479, 1419408, 1487702, 1434740, 1434398,
> ??? 1472990, 1471028, 1460549, 1461166, 1482247, 1490620, 1486005,
> ??? 1467463, 1444413, 1469876, 1477567, 1460040, 1446679, 1452324,
> ??? 1456279, 1455826, 1472154, 1485169, 1464240, 1487456, 1518692,
> ??? 1516207, 1512158, 1535860, 1535652, 1538473, 1549310, 1517172,
> ??? 1511436, 1531246, 1558108, 1555668, 1566767, 1566882, 1580492,
> ??? 1566209, 1594096, 1600677, 1613907, 1619388, 1607791, 1602639,
> ??? 1612385, 1631814, 1643924, 1650496, 1659254, 1679545, 1674956,
> ??? 1675779, 1676020, 1676843, 1679625, 1694232, 1695255, 1720478,
> ??? 1741576, 1736856, 1722187, 1750359, 1728204, 1736587, 1752139,
> ??? 1752173, 1770304, 1762990, 1777806, 1787814, 1766222, 1771789,
> ??? 1806919, 1817679, 1826720, 1854228, 1850492, 1857490, 1892994,
> ??? 1890432, 1892879, 1890258, 1911380, 1915088, 1891501, 1922679,
> ??? 1947153, 1994578, 1970953, 1983867, 2014740, 2008756, 2030234,
> ??? 2032886, 2059674, 2068652, 2073047, 2083031, 2136894, 2115520,
> ??? 2130280, 2158663, 2134182, 2172927, 2173367, 2173553, 2156196,
> ??? 2218283, 2237749, 2206090, 2227664, 2221296, 2238127, 2265268,
> ??? 2262536, 2284770, 2309970, 2310161, 2307041, 2331779, 2369833,
> ??? 2388535, 2335561, 2373858, 2397911, 2392511, 2405673, 2410779,
> ??? 2411443, 2438862, 2483861, 2444050, 2429816, 2451814, 2464695,
> ??? 2470975, 2496128, 2476598), v44174769 = c(NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, 14870199, 13850896, 13723104, 12678291,
> ??? 12481142, 13192192, 14390793, 13792514, 12301574, 12337737,
> ??? 12179895, 13722325, 14545047, 12249895, 13035258, 10927584,
> ??? 10791532, 11585680, 11896537, 12370088, 10788546, 10909386,
> ??? 11181286, 13637486, 13731878, 12072844, 12075216, 10300763,
> ??? 10397213, 11345202, 12392196, 12028914, 11059735, 11243073,
> ??? 11257174, 13342863, 13491946, 11306554, 12021618, 11138199,
> ??? 11643671, 11282364, 12719648, 12056468, 10814757, 10851400,
> ??? 10601293, 11868363, 12184798, 11191009, 11849582, 10987177,
> ??? 11591640, 11751264, 12496489, 11803400, 10478331, 11611753,
> ??? 12350431, 12881577, 13487609, 11618200, 12250783, 11826684,
> ??? 12102462, 12172373, 13118089, 12941911, 11778903, 12221484,
> ??? 12655891, 13338404, 13206706, 11502235, 12312545, 11265569,
> ??? 12023172, 12146589, 12418915, 12514403, 12441607, 12174062,
> ??? 12761836, 13383973, 13602164, 12153121, 13222284, 11645090,
> ??? 11870180, 11908548, 12536353, 11770646, 10308391, 9717057,
> ??? 11975998, 12389373, 14714456, 13612168, 13246479, 12151889,
> ??? 11885998, 12568410, 13693121, 13972899, 12538465, 12579381,
> ??? 12575806, 13673046, 13741588, 12046519, 13195851, 12099752,
> ??? 12305290, 12681867, 13133006, 12799308, 11905570, 12044349,
> ??? 12653710, 14138740, 14612989, 12188411, 12860259, 11715642,
> ??? 12189386, 12338008, 13697316, 13571423, 12294172, 12624440,
> ??? 12973386, 13561183, 14465206, 12636860, 13160251, 11960370,
> ??? 12456209, 12804423, 14463529), v47794 = c(2600262, 2215920,
> ??? 2120366, 1437092, 708746, 493068, 361536, 438401, 445833,
> ??? 778862, 1138557, 1636203, 2233518, 2114752, 1974646, 1534387,
> ??? 998860, 559524, 447850, 393285, 402189, 651017, 1523288,
> ??? 2076491, 2751527, 2619063, 2246900, 1555782, 855432, 475902,
> ??? 452943, 420167, 414293, 850387, 1358940, 1968115, 2708192,
> ??? 2497621, 1948959, 1466106, 828148, 462889, 422246, 405036,
> ??? 425039, 687867, 1280263, 2001790, 2666491, 2470415, 2263741,
> ??? 1411442, 900073, 491461, 413880, 390364, 393934, 586734,
> ??? 1266299, 2202400, 2309033, 2164470, 2145389, 1328220, 736964,
> ??? 480707, 445443, 369321, 424694, 845898, 1385128, 1748853,
> ??? 3283157, 3804876, 3244792, 2477267, 1569953, 1169971, 1121247,
> ??? 1218442, 1182862, 1409876, 2241749, 3274756, 3494706, 3615470,
> ??? 3455902, 2199773, 1647961, 1230718, 1125165, 1078839, 1099809,
> ??? 1539702, 2190793, 3126922, 3886115, 3290320, 2942615, 2110948,
> ??? 1405583, 1308947, 1014607, 1148503, 1066941, 1596998, 2039112,
> ??? 2798847, 3446040, 3255602, 2815621, 1839592, 1426302, 1177683,
> ??? 1090902, 1145557, 1140902, 1524916, 2145484, 3256107, 3775523,
> ??? 3559115, 3289994, 2219521, 1774688, 1291471, 1191457, 1170953,
> ??? 1159087, 1543907, 2159364, 2786142, 3447635, 3179625, 2751435,
> ??? 2152765, 1596927, 1290466, 1278246, 1247608, 1253886, 1622877,
> ??? 2433993, 2831938, 3565488, 3636268, 3253630, 2559152, 1626984,
> ??? 1251460, 1163841, 1130486, 1190063, 1491645, 2345181, 3346689,
> ??? 4165953, 3842336, 3682352, 2580288, 1731497, 1199181, 1098817,
> ??? 1113400, 1079822, 1464918, 2344949, 3006111, 3847035, 4007847,
> ??? 3550039, 2397284, 1457876, 1155121, 1115934, 1113953, 1185585,
> ??? 1421534, 2074815, 2726464, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
> ??? NA, NA, NA, NA, NA), v52300164 = c(75.656, 69.085, 78.652,
> ??? 76.864, 72.529, 81.702, 56.027, 83.519, 70.07, 69.387, 77.807,
> ??? 74.695, 100.946, 79.579, 93.638, 78.087, 86.824, 73.918,
> ??? 87.194, 83.403, 76.443, 89.991, 86.48, 72.567, 72.041, 114.235,
> ??? 82.83, 79.503, 73.893, 78.598, 81.738, 91.451, 86.032, 108.011,
> ??? 79.145, 77.618, 65.539, 79.438, 102.972, 90.846, 85.324,
> ??? 83.823, 77.963, 104.5, 85.947, 95.124, 85.782, 76.143, 57.357,
> ??? 71.102, 79.966, 90.391, 70.392, 99.74, 101.093, 68.519, 70.549,
> ??? 64.984, 84.727, 80.825, 78.937, 78.679, 81.605, 74.906, 74.252,
> ??? 84.369, 86.341, 66.781, 61.618, 74.485, 69.132, 63.522, 74.888,
> ??? 52.395, 57.398, 65.234, 74.207, 65.783, 73.555, 68.3, 82.511,
> ??? 71.971, 78.523, 48.721, 65.401, 72.862, 78.834, 82.79, 72.919,
> ??? 92.277, 56.461, 93.681, 87.929, 89.085, 56.675, 53.501, 43.62,
> ??? 37.324, 59.424, 36.481, 42.83, 50.28, 41.606, 48.622, 57.833,
> ??? 72.492, 53.894, 53.125, 54.779, 70.139, 58.95, 67.712, 69.299,
> ??? 56.243, 56.468, 64.636, 60.448, 46.748, 81.488, 45.477, 50.752,
> ??? 66.029, 73.787, 77.554, 58.62, 75.255, 76.621, 66.846, 66.99,
> ??? 75.322, 54.47, 71.371, 80.795, 71.066, 87.498, 99.376, 76.071,
> ??? 70.67, 72.869, 87.986, 73.416, 68.684, 60.868, 79.346, 47.764,
> ??? 68.905, 58.11, 49.672, 65.877, 59.735, 62.198, 70.928, 60.752,
> ??? 71.221, 60.905, 56.839, 64.447, 61.82, 42.108, 67.44, 65.443,
> ??? 55.605, 68.712, 52.171, 53.423, 52.954, 58.842, 60.084, 61.375,
> ??? 41.948, 62.912, 64.89, 84.012, 57.381, 51.031, 96.148, 90.318,
> ??? 75.115, 87.755, 55.083, 61.053, 76.113, 86.185, 68.21, 72.047,
> ??? 88.35, 79.231, 74.712, 69.061, 84.729, 58.144, 79.135, 100.138,
> ??? 84.905, 88.793, 74.315, 54.912, 78.051, 82.618, 97.755, 77.894,
> ??? 59.878, 97.51, 64.46, 84.769, 105.506, 74.729, 69.223, 54.825,
> ??? 104.078, 68.996, 64.279, 78.005, 91.656, 85.848, 70.439,
> ??? 73.273, 56.563, 61.413, 84.829, 48.976, 66.784, 69.821),
> ??? v52367573 = c(9464438, 9389850, 9414772, 9544913, 9572846,
> ??? 9584905, 9382415, 9482770, 9307864, 9492970, 9715825, 9940764,
> ??? 10187105, 9817105, 9894764, 10188403, 9752106, 10139040,
> ??? 10087479, 10102348, 10016255, 10262020, 10237805, 10307612,
> ??? 10275184, 10419349, 10293724, 10289432, 10424067, 10431761,
> ??? 10527812, 10580315, 10595496, 10523776, 10425828, 10335721,
> ??? 10424135, 10732762, 10659720, 10501711, 10717818, 10609381,
> ??? 10645290, 10737670, 10887666, 10937108, 11132192, 10931217,
> ??? 11103939, 11305801, 11075886, 11028720, 11033612, 11241378,
> ??? 11397097, 11326044, 11304720, 11399814, 11421142, 11492582,
> ??? 11649949, 11524634, 11642228, 11686280, 11599854, 11634717,
> ??? 11884843, 11829986, 11677538, 11713733, 11776782, 11976272,
> ??? 11770553, 11952997, 12037744, 12132233, 12294168, 12192129,
> ??? 12059206, 12249964, 12079285, 12188221, 12370418, 12650935,
> ??? 12764803, 12552916, 12608853, 12795617, 12750516, 12876709,
> ??? 12952859, 12827097, 12887679, 12691419, 12219526, 11768893,
> ??? 11971337, 12144957, 12191313, 12116405, 12224295, 12297602,
> ??? 12347845, 12466555, 12569735, 12626521, 12497659, 12654901,
> ??? 12729332, 12664595, 13078388, 12984005, 12842562, 12990498,
> ??? 12993825, 12972340, 13039000, 13133983, 13479873, 13367799,
> ??? 13335395, 13464771, 13363329, 13442441, 13465088, 13511336,
> ??? 13442888, 13465232, 13516739, 13526653, 13589859, 13734948,
> ??? 13860252, 13684437, 13849354, 13682966, 13668438, 13655828,
> ??? 13580493, 13625938, 13664902, 13702841, 13755498, 13686368,
> ??? 13734294, 13844170, 13949851, 13820642, 14051575, 13898439,
> ??? 14174606, 14358699, 14312287, 14272243, 14209392, 14249460,
> ??? 14227780, 14452281, 14308973, 14748479, 14743171, 15010368,
> ??? 15069059, 15070431, 15195531, 15255816, 15183239, 15205394,
> ??? 14647813, 14945576, 15334757, 15374511, 15592985, 15798994,
> ??? 15891823, 15968627, 15951432, 15952705, 16254637, 16221005,
> ??? 16501660, 16685866, 16457644, 16452841, 16389104, 16572296,
> ??? 16682913, 16647074, 16870723, 17044004, 17229456, 17351957,
> ??? 17620979, 17602540, 17854654, 18075746, 17997156, 17852577,
> ??? 18009088, 18068445, 18089431, 18415992, 18478794, 18252180,
> ??? 18447029, 18476603, 18431675, 18001966, 18923864, 19072002,
> ??? 19036564, 19125896, 19252974, 19388570, 18913792, 18775702,
> ??? 18549987, 18866029, 19106589, 19318267, 19393034, 19381921,
> ??? 19635452), v52368043 = c(17055707, 16701281, 16786260, 16756166,
> ??? 16426263, 17318876, 17415322, 17417988, 17467072, 16667843,
> ??? 16809604, 16838837, 17656245, 17760898, 17801874, 18105941,
> ??? 18478672, 17862917, 18431580, 18835012, 18673362, 18981674,
> ??? 19288359, 18532630, 19026893, 19180319, 18826048, 18486116,
> ??? 18089625, 18443518, 18602047, 16896308, 18860395, 18915620,
> ??? 19204737, 19105493, 19057133, 19208788, 19480899, 19674690,
> ??? 19944916, 20191003, 19112930, 19976985, 19988078, 19908461,
> ??? 19984769, 20052585, 20174329, 20282393, 19971041, 20011153,
> ??? 20118897, 20384291, 19394115, 20528811, 20747769, 21226830,
> ??? 20889921, 20835911, 21174421, 21127491, 21115706, 21262173,
> ??? 21259669, 20762658, 20924455, 21128838, 20983747, 20702448,
> ??? 20902061, 22345557, 21606059, 22455072, 22565907, 22270902,
> ??? 22234914, 21980827, 21847268, 21946181, 21747434, 22088155,
> ??? 22182948, 21347892, 21621099, 21430878, 21369303, 21760587,
> ??? 22460331, 22607535, 23038099, 22220849, 22449645, 21821231,
> ??? 21527176, 21186532, 19338429, 19597253, 19884704, 19771201,
> ??? 20036009, 20304254, 21454669, 21050550, 21284980, 21705066,
> ??? 22639281, 22690758, 22232400, 22063785, 21935778, 22036533,
> ??? 22056549, 22257846, 21838250, 22219803, 22420845, 22433192,
> ??? 22470460, 22707910, 23223292, 22951308, 23074595, 23073830,
> ??? 23064664, 22851575, 23617734, 23483236, 23583258, 23634482,
> ??? 23437658, 23930976, 23919897, 24166465, 24493107, 24053481,
> ??? 23681436, 24261439, 23776686, 23773759, 23555273, 23586467,
> ??? 24004817, 23802877, 23706412, 23500283, 23937931, 23774129,
> ??? 23950854, 23426495, 23813338, 24075179, 24192801, 24430720,
> ??? 24673059, 24276619, 24149635, 25049048, 24676187, 24825428,
> ??? 25678929, 25704834, 25639134, 26020843, 26609736, 26171747,
> ??? 25832302, 27524063, 25919116, 26045163, 26524824, 27370490,
> ??? 27221566, 27327466, 27786373, 27642938, 27539806, 27574631,
> ??? 28242316, 29454873, 29076991, 28757458, 28179964, 28507837,
> ??? 28785755, 29279475, 29506538, 29536098, 29652113, 29854882,
> ??? 29339135, 29688228, 30665282, 30467501, 30692879, 31064467,
> ??? 31001099, 31230693, 31505904, 31660230, 31558092, 31645834,
> ??? 32469843, 32170840, 32023093, 31736921, 32477853, 32189881,
> ??? 31808769, 32214965, 32187342, 32060514, 31894538, 32692963,
> ??? 32169342, 32134043, 32349968, 32960842, 32835304, 33065854,
> ??? 32796030, 32840886, 33870331), v54027371 = c(5006719, 5067172,
> ??? 5060865, 5062576, 5083254, 5072377, 5031234, 5052979, 5027204,
> ??? 5043632, 5035454, 5044842, 5063238, 5093024, 5091640, 5102054,
> ??? 5133352, 5142226, 5165655, 5203037, 5186307, 5174704, 5194163,
> ??? 5190310, 5232432, 5210572, 5234726, 5235080, 5254050, 5245134,
> ??? 5245175, 5249094, 5235952, 5262268, 5263595, 5253813, 5274263,
> ??? 5265423, 5299891, 5327379, 5316191, 5331555, 5346574, 5307140,
> ??? 5337742, 5347287, 5348381, 5377210, 5374212, 5383470, 5366697,
> ??? 5392882, 5388985, 5416367, 5417477, 5433010, 5448853, 5441429,
> ??? 5458425, 5471520, 5489243, 5495727, 5511121, 5512216, 5526438,
> ??? 5537303, 5522426, 5518461, 5536277, 5501749, 5564018, 5570599,
> ??? 5584461, 5593844, 5590604, 5602700, 5608632, 5616521, 5608951,
> ??? 5623657, 5616005, 5645595, 5647305, 5647451, 5693895, 5691488,
> ??? 5700220, 5707445, 5725799, 5728509, 5717031, 5723853, 5711995,
> ??? 5719339, 5681740, 5663311, 5643435, 5611268, 5590716, 5570704,
> ??? 5557739, 5536962, 5560436, 5529977, 5551949, 5574728, 5563493,
> ??? 5575590, 5577965, 5587020, 5596086, 5612563, 5609016, 5626466,
> ??? 5654424, 5633372, 5661574, 5667386, 5669274, 5689694, 5681104,
> ??? 5701730, 5706973, 5707289, 5692449, 5724435, 5730464, 5731650,
> ??? 5750310, 5739110, 5745413, 5742657, 5748606, 5744911, 5767140,
> ??? 5785313, 5808618, 5816135, 5806957, 5825860, 5814678, 5800046,
> ??? 5822757, 5809772, 5808239, 5818814, 5833898, 5829771, 5825801,
> ??? 5833676, 5847351, 5886288, 5872335, 5876134, 5878844, 5883709,
> ??? 5891947, 5885232, 5889681, 5891564, 5921837, 5931270, 5952834,
> ??? 5959543, 5957751, 5970395, 5962589, 5958983, 5996099, 5997162,
> ??? 5997791, 6025616, 6046802, 6043966, 6072665, 6063075, 6065666,
> ??? 6115610, 6091893, 6118988, 6119637, 6126261, 6136886, 6169330,
> ??? 6172147, 6198848, 6202387, 6197097, 6228521, 6219420, 6240999,
> ??? 6266000, 6254684, 6277414, 6289899, 6290412, 6302735, 6343442,
> ??? 6341087, 6359345, 6383177, 6364995, 6373585, 6394318, 6396556,
> ??? 6406482, 6430135, 6428086, 6458862, 6470913, 6480563, 6509009,
> ??? 6514678, 6545545, 6547838, 6538390, 6566127, 6566755, 6578311,
> ??? 6586796, 6596265, 6592137, 6621773), v54027372 = c(698.62,
> ??? 692.1, 695.87, 692.13, 690.73, 695.22, 696.41, 695.69, 699.31,
> ??? 697.67, 701.01, 698.38, 698.51, 697.03, 704.24, 709.05, 708.58,
> ??? 709.21, 716.46, 712.37, 715.7, 719.6, 720.31, 722.96, 716.06,
> ??? 724.73, 720.79, 721.51, 722.85, 728.82, 727, 734.71, 736.25,
> ??? 736.27, 737.61, 737.25, 744.83, 742.92, 744.9, 746.98, 752.13,
> ??? 745.86, 750.15, 750.31, 744.13, 750.81, 755.16, 759.22, 763.57,
> ??? 770.53, 764.34, 770.7, 773.6, 777.54, 775.18, 780.65, 789.71,
> ??? 784.48, 782.33, 782.15, 783.23, 781.14, 783.74, 782.76, 783.53,
> ??? 781.87, 787.48, 790.22, 794.1, 796.77, 793.41, 806.6, 806.36,
> ??? 802.21, 813.11, 814.56, 817.25, 824.93, 824.76, 821.27, 821.08,
> ??? 823.78, 831.6, 828.09, 828.79, 835.7, 833.64, 835.26, 838.09,
> ??? 840.33, 838.09, 840.35, 839.84, 846.35, 846.62, 836.65, 840.76,
> ??? 843.8, 846.48, 847.11, 843.82, 843.64, 844.55, 848.04, 853.68,
> ??? 852.59, 856.16, 864.11, 864.09, 873.24, 870.03, 872.13, 873.52,
> ??? 875.68, 883.39, 888.95, 902.33, 886.78, 891.69, 893.37, 897.82,
> ??? 894.44, 896.07, 890.68, 893.01, 889.93, 887.63, 889.08, 888.93,
> ??? 901.95, 894.42, 897.03, 898.32, 892.12, 895.8, 904.11, 902.56,
> ??? 909.48, 912.62, 909.97, 911.16, 911.32, 911.6, 913.03, 911.93,
> ??? 913.79, 916.13, 913.46, 921.64, 919.21, 916.77, 924.35, 920.2,
> ??? 924, 930.44, 926.46, 930.9, 933.12, 928.53, 933.05, 938.36,
> ??? 938.25, 945.34, 943.02, 944.16, 942.02, 939.85, 940.82, 950.06,
> ??? 956.56, 962.54, 963.78, 955.99, 960.3, 972.32, 959.15, 966.48,
> ??? 968.39, 967.04, 969.76, 962.76, 964.22, 969.64, 969.64, 974.42,
> ??? 978.96, 975.58, 979.4, 970.39, 973.89, 976.8, 987.21, 985.7,
> ??? 982.39, 982.7, 987.22, 987.37, 986.88, 984.19, 992.24, 1002.93,
> ??? 1000.22, 1006.93, 1008.81, 1010.78, 1015.52, 1014.01, 1012.58,
> ??? 1015.28, 1019.15, 1017.74, 1025.74, 1027.27, 1031.26, 1034.06,
> ??? 1031.76, 1027.91, 1028.6, 1037.3, 1040.28, 1051.1, 1038.39,
> ??? 1049.13), v54027376 = c(32.3, 32.2, 32.2, 32.1, 31.8, 31.6,
> ??? 31.5, 31.3, 31.3, 31.4, 31.3, 31.2, 31.2, 31, 31.3, 31.3,
> ??? 31.3, 31.3, 31.5, 31.4, 31.3, 31.4, 31.4, 31.4, 31.4, 31.5,
> ??? 31.2, 31.3, 31.5, 31.4, 31.4, 31.5, 31.6, 31.6, 31.5, 31.5,
> ??? 31.8, 31.7, 31.8, 31.8, 31.6, 31.6, 31.6, 31.5, 31.5, 31.5,
> ??? 31.5, 31.5, 31.3, 31.4, 31.4, 31.3, 31.4, 31.4, 31.3, 31.5,
> ??? 31.5, 31.4, 31.5, 31.4, 31.4, 31.4, 31.4, 31.3, 31.4, 31.2,
> ??? 31.3, 31, 31.1, 31, 31.2, 31.3, 31.2, 30.9, 30.9, 31.1, 30.8,
> ??? 30.8, 30.7, 30.8, 30.6, 30.7, 30.8, 30.8, 30.7, 30.9, 30.6,
> ??? 30.7, 30.8, 31, 30.9, 30.8, 31, 31.1, 30.8, 30.1, 30.3, 30.4,
> ??? 30.4, 30.3, 30.3, 30.2, 30.3, 30.4, 30.1, 30.2, 30, 30.1,
> ??? 30, 30.2, 30.4, 30.6, 30.3, 30.3, 30.5, 30.5, 30.4, 30.3,
> ??? 30.3, 30.5, 30.5, 30.5, 30.5, 30.2, 30.4, 30.3, 30.3, 30.4,
> ??? 30.6, 30.6, 30.7, 30.6, 30.5, 30.5, 30.5, 30.7, 30.6, 30.9,
> ??? 30.6, 30.6, 30.5, 30.6, 30.7, 30.2, 30.4, 30.3, 30.2, 30.2,
> ??? 30.5, 30, 30.2, 30.4, 30.3, 30.1, 30.1, 30.2, 30.4, 30.4,
> ??? 30.3, 30, 30, 30.1, 30.2, 30.3, 30, 30.3, 30.2, 30.2, 30.4,
> ??? 30.2, 30.5, 30.6, 30.5, 30.5, 30.9, 30.2, 30.6, 30.7, 30.4,
> ??? 30.8, 30.3, 30.5, 30.4, 30.5, 30.3, 30.6, 30.2, 30.1, 30.4,
> ??? 30, 29.8, 30.2, 30.2, 29.9, 29.7, 29.9, 29.9, 29.8, 29.7,
> ??? 30.2, 30, 30.3, 30.5, 30.4, 30, 30.3, 30.6, 30.2, 30.4, 30.4,
> ??? 30.4, 30.2, 29.9, 29.9, 30, 29.5, 29.8, 29.8, 30, 30, 29.7,
> ??? 29.4, 29.7), v61172 = c(22005, 20776, 22513, 21920, 22802,
> ??? 22362, 23115, 22733, 21398, 22752, 22852, 23176, 22406, 20917,
> ??? 21902, 21685, 22286, 22379, 22462, 24011, 21938, 23253, 22542,
> ??? 23390, 22772, 21411, 23059, 21923, 22676, 22603, 22269, 23088,
> ??? 21739, 22853, 23036, 22761, 24435, 22798, 23316, 22371, 23691,
> ??? 25848, 26116, 26482, 24657, 25219, 23780, 25027, 23459, 20867,
> ??? 21815, 21448, 22205, 22734, 21750, 21894, 21129, 22359, 21206,
> ??? 23018, 21452, 20560, 23331, 22223, 24465, 22765, 23132, 22893,
> ??? 22497, 24115, 23879, 24696, 23399, 21413, 24268, 23387, 25378,
> ??? 24807, 23902, 26674, 24842, 27060, 25579, 27140, 25948, 23937,
> ??? 27291, 26785, 26741, 28014, 26468, 30254, 28078, 31165, 27903,
> ??? 30406, 28724, 25872, 26674, 28005, 28574, 28116, 27645, 28820,
> ??? 26915, 29534, 29506, 29755, 25859, 25733, 27848, 27664, 29056,
> ??? 28913, 27682, 28455, 28286, 28968, 27711, 31211, 26457, 25821,
> ??? 29790, 28530, 32482, 31544, 32214, 33592, 30870, 34086, 31843,
> ??? 33502, 32137, 30800, 31770, 30887, 31224, 34883, 31727, 34795,
> ??? 33329, 37090, 35631, 36927, 36254, 34678, 35695, 34568, 36096,
> ??? 35285, 36044, 36811, 34141, 35512, 34365, 34675, 34920, 33633,
> ??? 33938, 35237, 35859, 34650, 34644, 35059, 34299, 35653, 35486,
> ??? 35769, 36267, 35524, 36736, 36364, 36730, 36261, 37129, 37903,
> ??? 37136, 38402, 38094, 39260, 39189, 38222, 39043, 38617, 38777,
> ??? 38777, 38843, 39769, 40365, 40270, 40605, 40847, 40330, 39600,
> ??? 40629, 40509, 41056, 40898, 40745, 41350, 41735, 41405, 41141,
> ??? 41662, 40998, 39582, 41728, 42189, 43148, 42427, 42908, 44375,
> ??? 43402, 44144, 43871, 44696, 44803, 43998, 44419, 45686, 45193,
> ??? 44981, 46250), v66449943 = c(88.1, 86.1, 86.5, 84.6, 85.7,
> ??? 85.8, 88.9, 92.4, 90.8, 90.7, 90.5, 91.6, 91.5, 90.8, 91.2,
> ??? 92.4, 93.4, 91.3, 100.4, 100.8, 96.6, 101.2, 101.1, 96.7,
> ??? 100.2, 100.1, 98.5, 100.4, 98.7, 97.4, 92.6, 95.2, 93.1,
> ??? 96.5, 95.9, 96.1, 97.5, 99.1, 104.1, 105.8, 103, 101.9, 95.7,
> ??? 94.8, 96.7, 95.1, 89.1, 89.1, 86.4, 87.3, 87.6, 86.3, 88.9,
> ??? 93, 91.8, 95.2, 91.6, 85.2, 81.1, 89.4, 88.1, 86.7, 87.7,
> ??? 88.4, 89.9, 90.5, 90.2, 91.9, 88.1, 86.3, 91.6, 90.9, 101.2,
> ??? 101.8, 100.7, 96.8, 92.3, 92.4, 100.2, 103.2, 103.1, 106.6,
> ??? 104.3, 102.1, 112.8, 113.5, 115.6, 117, 109.8, 111.8, 108.9,
> ??? 112.9, 112, 117.6, 114.3, 109.5, 111.9, 112.3, 111.8, 113.7,
> ??? 115.9, 119.9, 117.1, 113.6, 108.6, 105.7, 104.1, 119.6, 115.4,
> ??? 114.4, 110.6, 109.1, 113.3, 111.8, 111.8, 112.3, 110.8, 110.8,
> ??? 113.2, 118.3, 121.9, 123.6, 124.4, 126.2, 121.1, 120.4, 124.2,
> ??? 129.5, 127.2, 124.9, 126.9, 123.5, 125.4, 127.3, 128.3, 126.3,
> ??? 121, 121.8, 140.2, 142.1, 142.7, 138.8, 133.9, 135.4, 138.3,
> ??? 142, 141.6, 141.3, 141.5, 142.7, 127.8, 123.3, 124.6, 126.1,
> ??? 117.6, 119.1, 119.1, 122.9, 127, 130.2, 131.5, 133.5, 130.2,
> ??? 132.8, 127.7, 116.6, 113.5, 118.9, 122.2, 125.1, 126.2, 126.7,
> ??? 128, 128.1, 129.3, 129.7, 129, 121.8, 122.4, 127.6, 128.5,
> ??? 130.3, 131.4, 131.7, 132.6, 135.2, 128, 124.9, 127.1, 130.2,
> ??? 131.3, 132.8, 133.3, 134.6, 136.8, 135.7, 136, 136, 137.9,
> ??? 135.8, 133.7, 129.9, 128.5, 128.5, 129.5, 131, 135.8, 136.3,
> ??? 136.6, 136, 137.2, 137.9, 136, 133.2, 133.4, 134.1, 134.2,
> ??? 135.5, 135.6, 136.1, 135.1, 136.8, NA), v66449950 = c(94.3,
> ??? 100.4, 103.6, 103.3, 106.1, 107.5, 105.3, 103.4, 99, 98.8,
> ??? 98.3, 96.9, 97.5, 102.1, 100.2, 93.9, 95.3, 93.4, 94.9, 95,
> ??? 89.6, 93, 93.9, 96.3, 95.7, 101.5, 98.7, 100.9, 99.8, 94.2,
> ??? 86.3, 87.9, 88, 89.7, 90.3, 89.3, 89.4, 91.8, 93.5, 92.7,
> ??? 96, 97, 96.8, 95.5, 95.1, 92.4, 91.5, 94.9, 96.6, 102.1,
> ??? 97.1, 97.9, 98, 94.8, 96.6, 95.8, 97.2, 99.4, 97.8, 97.8,
> ??? 97, 96.8, 96.7, 97.7, 98.3, 98.7, 100, 99.1, 100.6, 96.8,
> ??? 97.4, 97.8, 96.9, 102.8, 104.2, 103.4, 106.5, 104.1, 102.3,
> ??? 102.3, 98, 95.6, 92.3, 95, 92.6, 97.3, 96.2, 94.6, 103.8,
> ??? 103.7, 104.4, 110, 109, 106.5, 107.2, 107.9, 105, 107, 107.5,
> ??? 106, 107.8, 102.7, 102, 98.4, 98.7, 96.7, 99.2, 101.7, 102.7,
> ??? 104.8, 105, 104.7, 107.7, 105.7, 105.3, 106.7, 108.2, 105.3,
> ??? 104.1, 107.5, 110, 112.8, 115.2, 118.5, 116.6, 115.9, 116.4,
> ??? 119.1, 118.7, 122.6, 121.7, 122.3, 120.5, 121.5, 118.2, 117.2,
> ??? 115.5, 118.3, 116.3, 116.5, 112.3, 117.1, 120.4, 120.3, 117.4,
> ??? 120.7, 118.9, 117.8, 121.6, 123.6, 123.8, 125, 124.6, 124.8,
> ??? 123.8, 124.1, 124, 128, 136.2, 141.6, 137.5, 138.2, 142,
> ??? 140.3, 134.6, 140.3, 140.2, 139.4, 136.9, 137, 134.8, 136.4,
> ??? 136.2, 135.3, 132.9, 133.8, 134.8, 131.8, 130.5, 125.7, 128.4,
> ??? 130.2, 129.9, 124, 127.5, 128.9, 127.1, 123.8, 123.8, 121.1,
> ??? 118.8, 122.4, 124.3, 128.3, 130.7, 128.2, 131.7, 133.4, 132.6,
> ??? 128.4, 121, 121.2, 122.5, 121.7, 123.5, 122.7, 122, 118.6,
> ??? 120.6, 124, 124.9, 121.4, 118, 124, 123.3, 120, 122.5, 121.1,
> ??? 122.3, 129.8, 131.4, 127.8, NA), v806086 = c(24241837, 23571783,
> ??? 24044065, 24286278, 24628066, 24118928, 23617076, 23636633,
> ??? 23428219, 22676196, 23634652, 23129728, 23460762, 24470816,
> ??? 24710021, 25047202, 24605685, 24889031, 25374882, 25327868,
> ??? 25109773, 25083430, 25307028, 24264047, 25218362, 25026529,
> ??? 25123228, 24770185, 24471279, 23997307, 25100446, 22964008,
> ??? 24847797, 24677891, 24855666, 24657136, 24257410, 24671333,
> ??? 25042084, 25294153, 25594879, 25710661, 25392113, 25762642,
> ??? 25495968, 25594992, 25046371, 24990942, 26049772, 25720141,
> ??? 24908463, 24706488, 25213097, 24845513, 24526632, 25604879,
> ??? 25607606, 25775948, 24928252, 25720454, 25230304, 24969882,
> ??? 24588168, 24950843, 24342432, 24727389, 24207745, 24653546,
> ??? 24098105, 23526031, 24359382, 25982179, 24579627, 24404161,
> ??? 25000895, 24807287, 24362175, 23689711, 24144763, 23438032,
> ??? 23439725, 23516262, 23790262, 21814921, 21887345, 22899655,
> ??? 22230193, 22324816, 22934833, 23503414, 23954111, 23283045,
> ??? 22841589, 22386978, 21842554, 19295160, 17419392, 18364375,
> ??? 17905440, 18108957, 16916442, 17026042, 18751034, 18321591,
> ??? 19048289, 18784796, 18924599, 19475767, 19573589, 19850904,
> ??? 19804795, 20157495, 20328658, 20361279, 20061299, 20395027,
> ??? 20298913, 20737329, 19902428, 20480090, 21614065, 20987752,
> ??? 20921846, 20374783, 20233473, 20215808, 21174832, 21660830,
> ??? 21640023, 22114244, 21850029, 22827161, 23011928, 21728327,
> ??? 22257123, 22937471, 22827906, 22875554, 22170195, 22516726,
> ??? 22303145, 21675434, 22247002, 21567688, 21860739, 22317023,
> ??? 22207928, 22332500, 22343634, 22272300, 22054266, 22139544,
> ??? 22476830, 22475093, 22870618, 22550632, 21973040, 22959343,
> ??? 23266389, 23188580, 23768769, 23473685, 24108092, 23017700,
> ??? 23922409, 23820985, 23428273, 23928861, 23165872, 22611064,
> ??? 23647886, 23309658, 23349645, 23502513, 24672977, 24826679,
> ??? 24264370, 24314700, 24691695, 24783596, 25965007, 24936109,
> ??? 24148638, 24551950, 24096124, 24428453, 24656116, 24898703,
> ??? 25091096, 25097671, 24932606, 25523713, 25877824, 25493931,
> ??? 25584427, 25434925, 26270738, 25655031, 24154450, 24916780,
> ??? 24698894, 23950081, 25547953, 25979949, 25162501, 26286322,
> ??? 26227143, 26106405, 26205893, 26432292, 26910272, 26326292,
> ??? 26552306, 26781714, 26338911, 26176024, 26466019, 26026198,
> ??? 26637112, 26198157, 26778716, 26846047, 26409309)), row.names = c(NA,
> -223L), class = c("tbl_df", "tbl",
"data.frame"))
>
> dput() output for dts:
>
>
> structure(list(X1 = c(NA_real_, NA_real_, NA_real_, NA_real_),
> ??? X2 = c(NA_real_, NA_real_, NA_real_, NA_real_), X3 = c(NA_real_,
> ??? NA_real_, NA_real_, NA_real_), X4 = c(NA_real_, NA_real_,
> ??? NA_real_, NA_real_), X5 = c(NA_real_, NA_real_, NA_real_,
> ??? NA_real_), X6 = c(NA_real_, NA_real_, NA_real_, NA_real_),
> ??? X7 = c(NA_real_, NA_real_, NA_real_, NA_real_), X8 = c(1,
> ??? 120, NA, NA), X9 = c(1, 120, NA, NA), X10 = c(NA_real_, NA_real_,
> ??? NA_real_, NA_real_), X11 = c(NA_real_, NA_real_, NA_real_,
> ??? NA_real_), X12 = c(NA_real_, NA_real_, NA_real_, NA_real_
> ??? ), X13 = c(NA, NA, 223, 223), X14 = c(NA_real_, NA_real_,
> ??? NA_real_, NA_real_), X15 = c(NA_real_, NA_real_, NA_real_,
> ??? NA_real_), X16 = c(NA_real_, NA_real_, NA_real_, NA_real_
> ??? ), X17 = c(NA_real_, NA_real_, NA_real_, NA_real_), X18 = c(NA_real_,
> ??? NA_real_, NA_real_, NA_real_), X19 = c(NA_real_, NA_real_,
> ??? NA_real_, NA_real_), X20 = c(NA_real_, NA_real_, NA_real_,
> ??? NA_real_), X21 = c(NA_real_, NA_real_, NA_real_, NA_real_
> ??? ), X22 = c(NA_real_, NA_real_, NA_real_, NA_real_), X23 = c(NA_real_,
> ??? NA_real_, NA_real_, NA_real_), X24 = c(NA_real_, NA_real_,
> ??? NA_real_, NA_real_), X25 = c(NA_real_, NA_real_, NA_real_,
> ??? NA_real_), X26 = c(NA_real_, NA_real_, NA_real_, NA_real_
> ??? ), X27 = c(NA_real_, NA_real_, NA_real_, NA_real_), X28 = c(NA_real_,
> ??? NA_real_, NA_real_, NA_real_), X29 = c(NA_real_, NA_real_,
> ??? NA_real_, NA_real_), X30 = c(1, 84, NA, NA), X31 = c(NA,
> ??? NA, 181, 223), X32 = c(NA_real_, NA_real_, NA_real_, NA_real_
> ??? ), X33 = c(NA_real_, NA_real_, NA_real_, NA_real_), X34 = c(NA_real_,
> ??? NA_real_, NA_real_, NA_real_), X35 = c(NA_real_, NA_real_,
> ??? NA_real_, NA_real_), X36 = c(NA_real_, NA_real_, NA_real_,
> ??? NA_real_), X37 = c(NA_real_, NA_real_, NA_real_, NA_real_
> ??? ), X38 = c(NA_real_, NA_real_, NA_real_, NA_real_), X39 = c(NA,
> ??? NA, 223, 223), X40 = c(NA, NA, 223, 223), X41 = c(NA_real_,
> ??? NA_real_, NA_real_, NA_real_)), row.names = c(NA, -4L), class =
> "data.frame")
>
> dput() output for testcase1:
>
> c(NA, NA, NA, 84.6, 85.7, 85.8, 88.9, 92.4, 90.8, 90.7, 90.5,
> 91.6, 91.5, 90.8, 91.2, 92.4, 93.4, 91.3, 100.4, 100.8, 96.6,
> 101.2, 101.1, 96.7, 100.2, 100.1, 98.5, 100.4, 98.7, 97.4, 92.6,
> 95.2, 93.1, 96.5, 95.9, 96.1, 97.5, 99.1, 104.1, 105.8, 103,
> 101.9, 95.7, 94.8, 96.7, 95.1, 89.1, 89.1, 86.4, 87.3, 87.6,
> 86.3, 88.9, 93, 91.8, 95.2, 91.6, 85.2, 81.1, 89.4, 88.1, 86.7,
> 87.7, 88.4, 89.9, 90.5, 90.2, 91.9, 88.1, 86.3, 91.6, 90.9, 101.2,
> 101.8, 100.7, 96.8, 92.3, 92.4, 100.2, 103.2, 103.1, 106.6, 104.3,
> 102.1, 112.8, 113.5, 115.6, 117, 109.8, 111.8, 108.9, 112.9,
> 112, 117.6, 114.3, 109.5, 111.9, 112.3, 111.8, 113.7, 115.9,
> 119.9, 117.1, 113.6, 108.6, 105.7, 104.1, 119.6, 115.4, 114.4,
> 110.6, 109.1, 113.3, 111.8, 111.8, 112.3, 110.8, 110.8, 113.2,
> 118.3, 121.9, 123.6, 124.4, 126.2, 121.1, 120.4, 124.2, 129.5,
> 127.2, 124.9, 126.9, 123.5, 125.4, 127.3, 128.3, 126.3, 121,
> 121.8, 140.2, 142.1, 142.7, 138.8, 133.9, 135.4, 138.3, 142,
> 141.6, 141.3, 141.5, 142.7, 127.8, 123.3, 124.6, 126.1, 117.6,
> 119.1, 119.1, 122.9, 127, 130.2, 131.5, 133.5, 130.2, 132.8,
> 127.7, 116.6, 113.5, 118.9, 122.2, 125.1, 126.2, 126.7, 128,
> 128.1, 129.3, 129.7, 129, 121.8, 122.4, 127.6, 128.5, 130.3,
> 131.4, 131.7, 132.6, 135.2, 128, 124.9, 127.1, 130.2, 131.3,
> 132.8, 133.3, 134.6, 136.8, 135.7, 136, 136, 137.9, 135.8, 133.7,
> 129.9, 128.5, 128.5, 129.5, 131, 135.8, 136.3, 136.6, 136, 137.2,
> 137.9, 136, 133.2, 133.4, 134.1, 134.2, 135.5, 135.6, 136.1,
> 135.1, NA, NA)
>
> ______________________________________________
> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
> http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
phii m@iii@g oii phiiipsmith@c@
2019-Oct-30 12:24 UTC
[R] " Error in firstnonmiss:lastnonmiss : argument of length 0 "
Thanks for the suggestion Rui, but no, this will not remove the error.
In fact, if I drop the second term entirely as in:
if ( (!is.na(dts[1,j-1])) ) {
then I still get the error. I have been unable to find a work-around.
Philip
On 2019-10-30 05:17, Rui Barradas wrote:> Hello,
>
> Is this as simple as
>
>
> if ( (!is.na(dts[1,j-1])) & (!is.na(dts[3,j-1])) ) {
>
>
> (change the logical operator from '|' to '&')?
> The result vseries1 still has some NA's at the end of some of its
> series.
>
> Hope this helps,
>
> Rui Barradas
>
> ?s 02:05 de 30/10/19, phil at philipsmith.ca escreveu:
>> I am having a problem that generates the error message: " Error in
>> firstnonmiss:lastnonmiss : argument of length 0 ". There is an
article
>> on this in stackoverflow, but I have been unable to understand it well
>> enough to solve my problem. Essentially, I have a data frame with 41
>> indicator series and some of the series have missing values (NAs) at
>> the beginning and/or the end. I want to fill in the missing values
>> using ARIMA models, via the forecast() function. It works when I use
>> my EXTEND function on a single series, but it fails when I try to loop
>> through all 41 series. Here is a reproducible example. Thanks for any
>> advice.
>>
>> # Reproducible example
>> # " Error in firstnonmiss:lastnonmiss : argument of length 0
"
>> # See also stackoverflow:
>>
https://stackoverflow.com/questions/27350636/r-argument-is-of-length-zero-in-if-statement
>> library(forecast)
>> library(lubridate)
>> vseries <- dget("vseries.txt") # data frame containing
REF_DATE and 41
>> "indicator" vectors
>> dts <- dget("dts.txt") # data frame recording where NAs
are in vseries
>> - they will be replaced
>> testcase1 <- dget("testcase1.txt") # a vector for use in
testing
>> # Function to fill in missing values (NAs) using ARIMA forecasts and
>> backcasts
>> EXTEND <- function(x,REF_DATE,dt1,dt2,dt3,dt4,first_date,last_date)
{
>> ? if (!is.na(dt1)) {
>> ??? bfct = dt2-dt1+1 # number of months to backcast
>> ??? revx <- ts(rev(x),frequency=12)
>> ??? revx <- revx[1:(length(revx)-dt2)]
>> ??? fc <- forecast(auto.arima(revx),bfct)
>> ??? revx1 <- c(revx,fc$mean) # extend with forecasts (in fc$mean)
>> ??? m <- month(as.POSIXlt(first_date,format="%Y-%m-%d"))
>> ??? y <- year(as.POSIXlt(first_date,format="%Y-%m-%d"))
>> ??? x <- as.numeric(ts(rev(revx1),start=c(y,m),frequency=12))
>> ? }
>> ? if (!is.na(dt3)) {
>> ??? ffct <- dt4-dt3+1 # number of months to forecast
>> ??? x <- x[1:(dt3-1)]
>> ??? fc <- forecast(auto.arima(x),ffct)
>> ??? x <- c(x,fc$mean)
>> ? }
>> ? return(x)
>> }
>> # Test EXTEND function with a single vector - apparently it works
>> (testcase1_extended <-
EXTEND(testcase1,vseries$REF_DATE,1,3,222,223,
>> vseries$REF_DATE[1],vseries$REF_DATE[length(vseries$REF_DATE)]))
>> View(cbind(testcase1,testcase1_extended))
>> # Now use EXTEND to fill in the missing values in all 41 indicators in
>> vseries
>> # Data frame dts has NAs where no extension is required, integer
>> values showing where to start and
>> # where to end when extensions are required. Store extended series in
>> vseries1.
>> vseries1 <- vseries
>> for (j in 2:(ncol(vseries))) { # j starts at 2 because column 1 in
>> vseries is REF_DATE
>> ? if ( (!is.na(dts[1,j-1])) | (!is.na(dts[3,j-1])) ) {
>> ??? vseries1[,j] <-
>>
EXTEND(vseries[,j],vseries$REF_DATE,dts[1,j-1],dts[2,j-1],dts[3,j-1],dts[4,j-1],
>> vseries$REF_DATE[1],vseries$REF_DATE[length(vseries$REF_DATE)])
>> ? }
>> }
>> View(vseries)
>> View(vseries1)
>>
>> dput() output for vseries:
>>
>> structure(list(REF_DATE = c("2001-01-01",
"2001-02-01", "2001-03-01",
>> "2001-04-01", "2001-05-01", "2001-06-01",
"2001-07-01", "2001-08-01",
>> "2001-09-01", "2001-10-01", "2001-11-01",
"2001-12-01", "2002-01-01",
>> "2002-02-01", "2002-03-01", "2002-04-01",
"2002-05-01", "2002-06-01",
>> "2002-07-01", "2002-08-01", "2002-09-01",
"2002-10-01", "2002-11-01",
>> "2002-12-01", "2003-01-01", "2003-02-01",
"2003-03-01", "2003-04-01",
>> "2003-05-01", "2003-06-01", "2003-07-01",
"2003-08-01", "2003-09-01",
>> "2003-10-01", "2003-11-01", "2003-12-01",
"2004-01-01", "2004-02-01",
>> "2004-03-01", "2004-04-01", "2004-05-01",
"2004-06-01", "2004-07-01",
>> "2004-08-01", "2004-09-01", "2004-10-01",
"2004-11-01", "2004-12-01",
>> "2005-01-01", "2005-02-01", "2005-03-01",
"2005-04-01", "2005-05-01",
>> "2005-06-01", "2005-07-01", "2005-08-01",
"2005-09-01", "2005-10-01",
>> "2005-11-01", "2005-12-01", "2006-01-01",
"2006-02-01", "2006-03-01",
>> "2006-04-01", "2006-05-01", "2006-06-01",
"2006-07-01", "2006-08-01",
>> "2006-09-01", "2006-10-01", "2006-11-01",
"2006-12-01", "2007-01-01",
>> "2007-02-01", "2007-03-01", "2007-04-01",
"2007-05-01", "2007-06-01",
>> "2007-07-01", "2007-08-01", "2007-09-01",
"2007-10-01", "2007-11-01",
>> "2007-12-01", "2008-01-01", "2008-02-01",
"2008-03-01", "2008-04-01",
>> "2008-05-01", "2008-06-01", "2008-07-01",
"2008-08-01", "2008-09-01",
>> "2008-10-01", "2008-11-01", "2008-12-01",
"2009-01-01", "2009-02-01",
>> "2009-03-01", "2009-04-01", "2009-05-01",
"2009-06-01", "2009-07-01",
>> "2009-08-01", "2009-09-01", "2009-10-01",
"2009-11-01", "2009-12-01",
>> "2010-01-01", "2010-02-01", "2010-03-01",
"2010-04-01", "2010-05-01",
>> "2010-06-01", "2010-07-01", "2010-08-01",
"2010-09-01", "2010-10-01",
>> "2010-11-01", "2010-12-01", "2011-01-01",
"2011-02-01", "2011-03-01",
>> "2011-04-01", "2011-05-01", "2011-06-01",
"2011-07-01", "2011-08-01",
>> "2011-09-01", "2011-10-01", "2011-11-01",
"2011-12-01", "2012-01-01",
>> "2012-02-01", "2012-03-01", "2012-04-01",
"2012-05-01", "2012-06-01",
>> "2012-07-01", "2012-08-01", "2012-09-01",
"2012-10-01", "2012-11-01",
>> "2012-12-01", "2013-01-01", "2013-02-01",
"2013-03-01", "2013-04-01",
>> "2013-05-01", "2013-06-01", "2013-07-01",
"2013-08-01", "2013-09-01",
>> "2013-10-01", "2013-11-01", "2013-12-01",
"2014-01-01", "2014-02-01",
>> "2014-03-01", "2014-04-01", "2014-05-01",
"2014-06-01", "2014-07-01",
>> "2014-08-01", "2014-09-01", "2014-10-01",
"2014-11-01", "2014-12-01",
>> "2015-01-01", "2015-02-01", "2015-03-01",
"2015-04-01", "2015-05-01",
>> "2015-06-01", "2015-07-01", "2015-08-01",
"2015-09-01", "2015-10-01",
>> "2015-11-01", "2015-12-01", "2016-01-01",
"2016-02-01", "2016-03-01",
>> "2016-04-01", "2016-05-01", "2016-06-01",
"2016-07-01", "2016-08-01",
>> "2016-09-01", "2016-10-01", "2016-11-01",
"2016-12-01", "2017-01-01",
>> "2017-02-01", "2017-03-01", "2017-04-01",
"2017-05-01", "2017-06-01",
>> "2017-07-01", "2017-08-01", "2017-09-01",
"2017-10-01", "2017-11-01",
>> "2017-12-01", "2018-01-01", "2018-02-01",
"2018-03-01", "2018-04-01",
>> "2018-05-01", "2018-06-01", "2018-07-01",
"2018-08-01", "2018-09-01",
>> "2018-10-01", "2018-11-01", "2018-12-01",
"2019-01-01", "2019-02-01",
>> "2019-03-01", "2019-04-01", "2019-05-01",
"2019-06-01", "2019-07-01"
>> ), v1001816015 = c(17262087, 17014344, 20247169, 19144987, 19671015,
>> 19189905, 14739759, 18235434, 16623028, 19087839, 18792227, 15362864,
>> 16782525, 17523910, 19390559, 19783530, 20283113, 19318846, 16124593,
>> 19250140, 18889900, 20916009, 19349004, 17140428, 17531326, 17559123,
>> 19401870, 18748298, 18885310, 17982314, 14912147, 15835801, 17557392,
>> 18431507, 17296519, 16050211, 15215468, 16939038, 19917657, 19027956,
>> 19932323, 19921644, 16315362, 18862032, 19250137, 18862111, 18665646,
>> 17710225, 16863860, 17594959, 20442499, 19721391, 20471368, 20466651,
>> 16013264, 19545483, 19572010, 19837635, 19794191, 18282403, 17890774,
>> 17694365, 21286043, 19339429, 20363518, 20802697, 16690141, 20060353,
>> 19217265, 20687952, 20886199, 18925660, 19052279, 19444846, 23024759,
>> 20960798, 21284786, 20601708, 17882780, 20226914, 19443713, 21213020,
>> 19984134, 17515960, 17735035, 18639461, 19708496, 20218572, 20881111,
>> 20967845, 20246946, 20205727, 20951905, 23040393, 21107926, 18556973,
>> 15757698, 16235071, 18220863, 17502183, 16206875, 16664295, 16443231,
>> 17309836, 18065805, 18425679, 18383119, 17930175, 16093108, 17853071,
>> 20468225, 18944075, 19949187, 20940064, 18679964, 20517783, 21107272,
>> 20935541, 20476625, 19111285, 18591785, 18648376, 22572654, 20878866,
>> 21334626, 22356452, 19273175, 22959478, 22082938, 22830337, 22337136,
>> 21205679, 20255195, 21009917, 23627267, 21570319, 23091288, 23252411,
>> 21004135, 22349893, 20779032, 22622782, 22804069, 19504385, 20109262,
>> 20720256, 22697357, 23405692, 23330003, 22617671, 21538128, 23130117,
>> 22943596, 24431094, 23449486, 21320812, 20897790, 21679882, 25197042,
>> 24941550, 25904330, 24960421, 23649466, 24701113, 25754289, 27899355,
>> 25196278, 24819686, 23767512, 24169080, 28917366, 27068182, 27040475,
>> 28384836, 26443178, 27799087, 28229589, 28740172, 27763129, 27108195,
>> 25800631, 27411304, 29036170, 27999387, 27759231, 29219186, 25857724,
>> 29127423, 28085258, 28804390, 28364963, 26162758, 26152772, 26468833,
>> 31455559, 29035964, 31486857, 32048318, 26815735, 29868265, 28179157,
>> 28333370, 29749364, 27253403, 25959199, 26900190, 31813939, 29778379,
>> 31070923, 31387782, 28663047, 30679026, 29362553, 31046824, 29820781,
>> 28263730, 28062692, 28162744, 32752923, 30838600, 32865423, 30947662,
>> 29590180), v1001816392 = c(14810380, 14200859, 16756119, 15217622,
>> 16152695, 15734143, 11943953, 15182087, 14144821, 15327643, 15666826,
>> 12873678, 14082760, 15086691, 15833563, 15883991, 16045785, 15250640,
>> 12445691, 15776653, 15481482, 16487072, 15489524, 12938416, 13984446,
>> 14161079, 15530205, 14786496, 14588586, 13934508, 11387684, 12738958,
>> 14653137, 15079013, 13731146, 13103385, 12270059, 14238311, 16669218,
>> 15938279, 16007457, 17036074, 12355149, 15533794, 15448684, 15377076,
>> 14589920, 13589694, 13549648, 14624327, 15706302, 15239530, 15633935,
>> 15974885, 11803449, 15736297, 15611744, 16105812, 15964696, 14282888,
>> 14526761, 14449653, 16434235, 14597318, 15435231, 15712547, 11808763,
>> 14862181, 14503627, 15295540, 15261211, 14585813, 15410585, 14739285,
>> 17582347, 16171120, 15931155, 15565709, 12619998, 14547113, 13908728,
>> 14778066, 14423148, 11701775, 12670956, 13600996, 14284120, 14157825,
>> 13998465, 14543121, 12774383, 13773610, 14353232, 14770313, 13084751,
>> 11637597, 9588706, 10497657, 11879518, 10586090, 9367990, 9888218,
>> 9223044, 9922735, 11365570, 11658665, 11111213, 10508361, 10292744,
>> 10992491, 13210908, 11847469, 12344814, 12772222, 10359995, 12464327,
>> 12473841, 13137908, 13140871, 12928499, 12412546, 11481365, 14066907,
>> 12082611, 13050270, 12875573, 11009100, 13447116, 13903540, 13928150,
>> 13858803, 13349287, 13017205, 13136581, 14629295, 13175174, 14259088,
>> 14721292, 11943999, 13855276, 13219889, 14406322, 13976428, 12348507,
>> 12795753, 12884766, 14475286, 14122036, 14061445, 14563402, 12114754,
>> 13444547, 13827458, 14397852, 14401695, 13108404, 12684810, 13122736,
>> 15857365, 14149173, 15132604, 15077002, 13674898, 14475121, 16407589,
>> 16552843, 15367514, 15446201, 14885482, 13981302, 17023925, 15389386,
>> 15181518, 17365931, 15884142, 16708039, 17481246, 17751529, 17312508,
>> 17964853, 17635476, 17403932, 18117391, 16708266, 16449636, 17043771,
>> 14607070, 17536121, 17562680, 17898917, 17882877, 16194251, 16292556,
>> 15904704, 18550339, 16665634, 18563263, 17857082, 13863082, 16254963,
>> 15516553, 16359112, 17351737, 16080636, 16136849, 15070366, 17819011,
>> 16691318, 17603308, 18075717, 15809284, 16585137, 16279853, 18388536,
>> 18103660, 15593270, 17027143, 15580767, 17959460, 17242596, 19056997,
>> 17565595, 15977646), v107792891 = c(72.1, 72.1, 72.1, 72.1, 72.1,
>> 79, 79, 79, 79, 79, 79, 79, 79, 79, 81.5, 81.5, 73.8, 82.5, 113,
>> 122.3, 139.6, 99.3, 99.9, 109.6, 113.4, 146.5, 141.8, 112.6,
>> 91.8, 92.2, 88.8, 99.9, 98.6, 109.3, 87.7, 93.8, 122.4, 103,
>> 97.9, 95.7, 99.9, 98.5, 96.3, 93.4, 100.7, 99.5, 103.9, 102.5,
>> 111.9, 100, 113.5, 115.1, 104.6, 125.7, 138, 155.1, 160, 135.3,
>> 110.7, 139, 106.1, 100.3, 97.7, 92, 94.9, 92.4, 99.9, 102.8,
>> 78.4, 84.4, 96.3, 84.4, 89.8, 107.7, 102.9, 92, 83.8, 92.2, 91.2,
>> 103.6, 91.7, 96.2, 92.9, 96.9, 80.9, 94.6, 98.9, 91.1, 74.9,
>> 105.3, 105.3, 90.8, 93.5, 87.4, 95, 90.2, 98, 90.6, 69.3, 56.5,
>> 67.5, 62.4, 57, 66.6, 58.2, 68.9, 65.7, 75.5, 78.2, 76, 67.1,
>> 70.5, 81.1, 82.5, 104.7, 95.3, 79.3, 74.5, 77.6, 81.9, 78.1,
>> 79, 76.4, 74, 70.5, 79.3, 80.8, 78.8, 78.8, 80.4, 79.5, 79.2,
>> 76.7, 77.8, 79.2, 80.2, 81.8, 81.3, 85.8, 73.2, 78, 80.7, 84.1,
>> 77.2, 84.1, 85.1, 82.9, 87.9, 87.1, 96.1, 92.2, 87.3, 94.1, 86.9,
>> 92, 102.1, 109.1, 121.8, 111.6, 81.7, 88.4, 101.2, 94.3, 94.9,
>> 95.4, 94.3, 104.2, 103.2, 99.5, 117.3, 94.6, 101.6, 108.3, 108,
>> 112.6, 112.5, 112.9, 103.1, 107, 111.3, 111.7, 114.7, 107.3,
>> 113.2, 115.5, 122.4, 116.1, 123.3, 108.2, 113, 123, 119.5, 107.4,
>> 112.4, 109.1, 98.9, 106.8, 115.2, 115.3, 118.2, 118.1, 109.6,
>> 109.3, 114.2, 116.5, 100.5, 106.8, 115.9, 101, 121.3, 112.6,
>> 109.7, 109.3, 106.2, 116.7, 109, 109.3, 113.9, 107.7, 107, 110.3,
>> 111.9, 127.2), v107792892 = c(59.1, 59.1, 59.1, 59.1, 59.1, 64.3,
>> 64.3, 64.3, 64.3, 64.3, 64.3, 64.3, 64.3, 64.3, 66.3, 66.3, 60.7,
>> 67.1, 89.2, 95.6, 107.4, 80.4, 81, 83, 84.5, 97, 95.3, 85.3,
>> 77.3, 77.5, 76.1, 80.9, 80.4, 84.8, 76.3, 79, 91.3, 84, 81.9,
>> 86.4, 88.4, 87.8, 86.8, 85.5, 88.9, 88.3, 90.3, 89.7, 93.8, 88.6,
>> 94.8, 98.3, 93.6, 103.2, 108.5, 115.2, 117.2, 108.1, 98.2, 111,
>> 97.9, 94.4, 93.9, 91.1, 96.4, 94.8, 98.7, 100.2, 88.1, 91.5,
>> 96.6, 90.6, 79.7, 82.7, 87.3, 81.9, 77.4, 81.4, 80.9, 86.5, 81.4,
>> 83.4, 80.8, 82.6, 77, 83.7, 85.7, 82.1, 73.4, 88.9, 88.9, 82.6,
>> 83.9, 81, 87.1, 84.2, 88, 84.5, 74.2, 66.8, 74.6, 71.7, 68.4,
>> 74.5, 69.6, 76.3, 74.6, 80.5, 82.3, 81.1, 76.2, 78.2, 89.9, 90.7,
>> 106.8, 101.8, 92.9, 89.9, 91.4, 94.1, 91.9, 92.4, 90.8, 89.3,
>> 88.2, 95.5, 97.5, 92.5, 92.5, 94.1, 93.7, 93, 90.9, 92.7, 94.8,
>> 98.1, 95.4, 94.6, 97.9, 85.4, 90.7, 93.7, 96.2, 90.1, 94.8, 98.2,
>> 95.1, 101.1, 101.4, 109.9, 106.4, 99.5, 110.9, 101.7, 106.6,
>> 113.9, 108.9, 111.1, 101.4, 54, 88.8, 110.3, 97.3, 97.3, 106.4,
>> 97.1, 120.7, 106.7, 99.2, 125.4, 83.6, 99.7, 119.9, 118.6, 121.1,
>> 121.3, 123.1, 104.7, 104.2, 131.4, 114.4, 127.4, 113.1, 135,
>> 128.4, 142, 116.1, 129.1, 107.3, 122.8, 143.7, 134.9, 106.7,
>> 133.5, 121.5, 100.4, 121.2, 132.9, 128.5, 136.9, 149.2, 121.8,
>> 131.6, 117.3, 127.2, 107.3, 110.5, 129.5, 114.6, 147.1, 119.2,
>> 114.1, 118, 110.5, 141.5, 121.7, 105.2, 126.1, 114.2, 106.7,
>> 135.2, 130.5, 150.4), v111955490 = c(59, 59.1, 59.4, 59.5, 59.6,
>> 59.8, 59.9, 60, 60.1, 60.1, 60.3, 60.3, 60.6, 61, 61.1, 61.4,
>> 61.8, 61.9, 62, 62.4, 62.4, 62.9, 63.1, 63.2, 63.3, 63.6, 63.7,
>> 63.9, 64.4, 64.5, 64.8, 65.2, 65.4, 65.6, 66.2, 66.3, 66.4, 66.7,
>> 66.9, 67.5, 68.2, 68.8, 68.8, 69.2, 69.3, 69.4, 69.7, 69.9, 70,
>> 70.2, 70.5, 70.8, 71.2, 71.8, 71.9, 72, 72.2, 72.5, 72.6, 72.6,
>> 73.1, 73.3, 73.4, 73.6, 73.8, 74.1, 74.4, 74.8, 74.9, 74.8, 75.1,
>> 75.1, 75.2, 75.3, 75.4, 75.4, 75.7, 76.1, 76.2, 76.5, 76.7, 76.7,
>> 77.2, 77.3, 78, 78.4, 78.6, 78.7, 78.7, 79, 79, 79.1, 79.1, 79.1,
>> 79, 79.1, 79.1, 79.1, 78.9, 78.5, 78.3, 78.3, 78.4, 78.5, 78.9,
>> 79.1, 79.4, 79.9, 80.2, 80, 80.2, 80.3, 80.7, 80.9, 80.8, 81,
>> 81, 81.2, 81.5, 81.6, 81.8, 82.2, 82.3, 82.8, 83.3, 83.8, 84,
>> 84.2, 84.4, 84.7, 85.3, 85.4, 85.5, 85.9, 86.3, 86.5, 86.9, 87.2,
>> 87.3, 87.5, 87.8, 88, 88.2, 88.4, 88.5, 88.5, 88.6, 88.7, 88.8,
>> 88.8, 89, 89.1, 89.1, 89.2, 89.3, 89.4, 89.5, 89.8, 89.8, 90.2,
>> 90.2, 90.4, 90.4, 90.7, 90.9, 91, 91.1, 91.2, 91.2, 91.4, 91.6,
>> 91.8, 92.1, 92.6, 92.8, 93.3, 93.4, 93.8, 93.9, 94.1, 94.2, 94.6,
>> 94.8, 95.3, 96.6, 97, 97.8, 98.2, 98.5, 99.5, 99.9, 100, 100.3,
>> 101.1, 101.4, 103, 103.8, 103.9, 104.1, 104.2, 104.3, 104.4,
>> 104.5, 104.5, 104.6, 104.3, 104.3, 104.1, 104.1, 104.2, 104.3,
>> 104.4, 104.4, 104.5, 104.6, 104.6, 104.5, 104.5, 104.6, 104.6,
>> 104.6, 104.7, 104.5), v113397631 = c(13666403, 13254077, 15407812,
>> 14247486, 15080786, 14660425, 11002204, 14202820, 13271658, 14415174,
>> 14508659, 11955671, 13146722, 14074199, 14791521, 14924080, 15044874,
>> 14018888, 11578184, 14895437, 14496000, 15378756, 14347316, 11919494,
>> 12767068, 13001096, 14151808, 13591747, 13337681, 12781326, 10377252,
>> 11837321, 13499209, 13699497, 12521117, 11856721, 11166102, 12992845,
>> 15124559, 14541534, 14645934, 15470071, 11120381, 14214588, 13924365,
>> 13823149, 12964700, 12076947, 12095824, 13216048, 14025754, 13550102,
>> 13914087, 14115722, 10160966, 14024121, 14022788, 14334153, 14102556,
>> 12565384, 12839303, 12721934, 14366235, 12974063, 13389033, 13670648,
>> 10141903, 12812065, 12299642, 13098258, 12851798, 12327714, 12847367,
>> 12591336, 14825763, 13341600, 13237020, 12836974, 10203377, 12244381,
>> 11765368, 12504709, 11956004, 9762716, 10401787, 11322046, 11770050,
>> 11765753, 11284183, 11974342, 10123526, 11289637, 11723217, 12097708,
>> 10555661, 9420181, 7523279, 8481494, 9242771, 8598074, 7202570,
>> 7866207, 7324976, 8190094, 9088589, 9446953, 8763624, 8523617,
>> 8047988, 8741224, 10166223, 9667012, 9914833, 10698557, 8007402,
>> 9979283, 10042726, 10032883, 9896590, 9780364, 9299971, 8878504,
>> 11119562, 9746562, 10190889, 10039663, 8115021, 10083267, 10621244,
>> 10939833, 10470646, 10082230, 10164563, 10122394, 11107394, 10523656,
>> 11128673, 11656285, 8974980, 10923049, 10334113, 11053800, 11353041,
>> 9446652, 9983629, 9791384, 11053091, 11219875, 11272210, 11132326,
>> 9306880, 10917075, 10818430, 11628396, 11478765, 10251218, 10184002,
>> 10281970, 12121307, 11862960, 12308111, 12096729, 10731262, 11590206,
>> 12816366, 12961856, 11982666, 12058824, 11517780, 11085487, 13436617,
>> 12553043, 12335153, 14275307, 12679415, 13737743, 14456727, 14243928,
>> 14099287, 14174328, 14110113, 14426606, 14658088, 13508307, 13826213,
>> 14372422, 11711022, 14076134, 13858027, 14416062, 14337693, 12754175,
>> 13196514, 13101829, 14765626, 13632730, 14826133, 14505383, 10931400,
>> 13195201, 12111306, 13091406, 14152405, 12544611, 12451609, 12366614,
>> 13998036, 13374490, 13857587, 14176873, 12006484, 13497534, 12786433,
>> 14622182, 13953516, 12187672, 12676560, 12261957, 14051828, 13274018,
>> 14558725, 14100590, 12336372), v113399963 = c(12383492, 12489535,
>> 14782841, 13968637, 14630933, 14467257, 10134331, 13173103, 12173082,
>> 13608236, 13678969, 11195227, 12282398, 12965165, 14472495, 14636326,
>> 14869906, 14265366, 10942242, 14014202, 13616642, 15069966, 13877119,
>> 11980443, 12667065, 12919482, 14273228, 13699916, 13856189, 13126548,
>> 9946994, 11150401, 12469921, 12936259, 12054563, 11110027, 10695234,
>> 12210008, 14226547, 13555826, 13976396, 14022407, 10640447, 12927490,
>> 13216051, 12728488, 12215523, 11892094, 11408471, 11992608, 13925071,
>> 13514739, 14058000, 13934254, 9995077, 13074057, 12947771, 13135370,
>> 12911642, 12064102, 11668352, 12008392, 14377904, 13014856, 13492799,
>> 13909599, 10372128, 13203866, 12301356, 12880238, 13158430, 12127888,
>> 11990355, 12589435, 15029864, 13510353, 14063373, 13387185, 10548301,
>> 12513166, 12253214, 13093732, 12154649, 10724007, 10974227, 11593154,
>> 12167544, 12576271, 13252139, 13282088, 11986385, 12388363, 12622830,
>> 13808547, 12412223, 10498437, 8868838, 9756446, 10918198, 10608854,
>> 9635848, 10008018, 9262002, 10205239, 10773340, 10943384, 10612403,
>> 10447653, 9446266, 10744663, 12072595, 11437008, 12055765, 12335679,
>> 10375837, 11786080, 11836877, 11717685, 11050898, 10512867, 10507066,
>> 10651956, 13301571, 11834961, 12194410, 12513463, 10330839, 12542127,
>> 12113245, 12524548, 11821431, 11259600, 11364736, 11684179, 13279826,
>> 12466423, 13651294, 13655882, 11400445, 12646589, 11701238, 12657427,
>> 12432006, 10561389, 11303161, 11657370, 13166161, 13479612, 13452761,
>> 13182454, 11606259, 13265594, 12954057, 13697290, 12957655, 11701079,
>> 11521999, 12453497, 14751017, 14372295, 15060344, 14724363, 13341724,
>> 14051091, 14306668, 15496758, 13943134, 13813528, 13107368, 13650455,
>> 16239726, 15416259, 15520089, 16101026, 14490154, 15577891, 15646361,
>> 15773300, 15292659, 15452107, 14554541, 15530759, 16579288, 16527074,
>> 16377782, 17185264, 14518363, 16503262, 15763025, 15855797, 15281552,
>> 14373491, 14894646, 15106333, 17847651, 16239885, 18225339, 18182041,
>> 14161870, 16504649, 15462683, 15413283, 15693526, 14506023, 14000735,
>> 15234901, 17994510, 16652601, 17250143, 17357528, 14854995, 16636582,
>> 15856325, 16470266, 15502332, 14715205, 14804754, 15773203, 17997663,
>> 16940919, 18145629, 17048409, 15038038), v121422275 = c(NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, 1294427, 1085157, 1659103, 1227780, 1264742,
>> 1233227, 1369915, 1241682, 1195597, 1337652, 1463474, 1747482,
>> 1677063, 1710162, 1408062, 1367046, 1325700, 1691519, 1490239,
>> 1513014, 1619474, 1475569, 1128444, 975554, 1238609, 1397151,
>> 1318789, 1574134, 1671827, 1418491, 1334309, 1502402, 1396184,
>> 1534954, 1495128, 1385045, 1564246, 1572126, 1414339, 1390512,
>> 1517317, 1674464, 1804056, 1390981, 1661250, 1521750, 1785414,
>> 1689831, 1657511, 1471717, 1730868, 1914114, 1655118, 1787784,
>> 1978644, 2061312, 1716886, 1775567, 1695326, 1731401, 1476016,
>> 1747452, 1912495, 2113177, 1881425, 1849288, 1847819, 2037590,
>> 2329039, 2215335, 2117342, 2440624, 2144344, 2149473, 2245874,
>> 1776567, 2249560, 2091031, 1900474, 2027541, 1842369, 1956289,
>> 2164626, 1810228, 2118096, 2076786, 1799082, 1985239, 2297525,
>> 2217866, 2262269, 1938379, 1946678, 2282724, 1933329, 1934100,
>> 2210996, 2019742, 1970774, 1922537, 2175532, 2191166, 2270389
>> ), v121429235 = c(NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 936232, 1380845,
>> 1096564, 804996, 947642, 966950, 1016699, 918866, 849556, 1053348,
>> 986012, 946487, 950837, 940777, 1201431, 1056492, 869576, 1029796,
>> 791533, 1342575, 768689, 1129197, 888039, 1196702, 844473, 836908,
>> 1000086, 948109, 955454, 905751, 1334532, 795432, 939875, 1055059,
>> 1162267, 887897, 1054106, 1321348, 926182, 747960, 994037, 934344,
>> 931091, 768161, 1336244, 814041, 993226, 915337, 878574, 962984,
>> 856037, 1349725, 1125033, 1145050, 735484, 1139687, 914030, 959260,
>> 880369, 1003863, 1100186, 1106088, 943878, 908737, 921558, 760214,
>> 1109277, 1149700, 881935, 854219, 1141033, 1046805, 990984, 942851,
>> 1237111, 1260890, 1246517, 1386806, 1459511, 1049323, 1265316,
>> 1526229, 1164388, 1234202, 1213186, 1219715, 1136702, 1018132,
>> 1069785, 1189086, 1051625, 1075847, 1086470, 1097881, 1067886,
>> 1154182, 1176269, 1124279, 1183524, 1411238, 1169574, 1246182,
>> 1294246), v129360 = c(968307, 959792, 1076115, 1086887, 1251495,
>> 1424836, 1645926, 1684631, 940698, 828397, 856445, 841089, 828632,
>> 840372, 950609, 979841, 1145547, 1241005, 1423829, 1520486, 1096690,
>> 1047509, 931186, 893051, 818595, 759586, 819928, 783164, 958451,
>> 1052234, 1266479, 1297035, 962400, 940103, 811110, 772748, 665961,
>> 734449, 784144, 758539, 894121, 1055843, 1236130, 1192797, 960006,
>> 849533, 729150, 692275, 607965, 632583, 710260, 704517, 824671,
>> 972044, 1142496, 1078026, 845734, 774906, 664769, 659470, 612101,
>> 589993, 674934, 678565, 749718, 889528, 1009429, 969411, 766777,
>> 662975, 606170, 602809, 512657, 475338, 563786, 560655, 668895,
>> 812314, 889427, 905246, 682748, 609636, 515527, 468840, 432613,
>> 413188, 446004, 473583, 581658, 663425, 766218, 798365, 560733,
>> 544244, 448566, 422434, 363941, 373681, 423161, 455848, 549006,
>> 512311, 643896, 655521, 523765, 473648, 395028, 395936, 370816,
>> 364373, 427710, 454885, 527961, 618566, 751011, 714393, 576052,
>> 525327, 433970, 415091, 358181, 346337, 408076, 435412, 503904,
>> 609108, 725224, 688454, 558688, 498784, 427279, 430118, 366452,
>> 377491, 419938, 445065, 528163, 634929, 690784, 707384, 529718,
>> 482768, 418217, 402933, 358317, 342634, 408017, 408543, 507661,
>> 593475, 669148, 698274, 512723, 495423, 412292, 389515, 332097,
>> 333292, 379271, 413360, 496660, 584914, 663033, 687526, 506198,
>> 494580, 384589, 408166, 351113, 324025, 385497, 420713, 517844,
>> 612642, 719301, 696045, 569477, 518096, 423544, 437956, 383651,
>> 377702, 433709, 441800, 539359, 636840, 756702, 714218, 596912,
>> 524944, 438817, 431740, 383612, 367863, 406395, 443138, 500629,
>> 608716, 704251, 689926, 543102, 463086, 397399, 394648, 331558,
>> 323805, 401966, 383701, 492991, 630428, 709143, 710910, 528833,
>> 468225, 398455, 413621, 320746, 315212, 387521, 409642, 517469,
>> 628480, 719469), v129367 = c(895221, 827924, 1053256, 1021700,
>> 1041938, 987341, 1054306, 1143262, 815543, 857805, 842812, 796604,
>> 834925, 770257, 975730, 934709, 970982, 911664, 970902, 1059151,
>> 927251, 969482, 872692, 839512, 839548, 755360, 888372, 855790,
>> 934028, 917631, 966595, 1008325, 924734, 978616, 895027, 860250,
>> 796199, 816724, 993943, 973312, 971248, 927537, 964599, 1023056,
>> 935330, 952958, 906419, 843985, 784260, 775884, 972637, 942266,
>> 981175, 928757, 996353, 1063537, 934522, 962724, 917215, 877143,
>> 864687, 789247, 1026369, 995372, 1041521, 959846, 1014128, 1084626,
>> 957957, 965648, 964565, 919535, 860830, 770369, 1018339, 987533,
>> 1036117, 963210, 1052261, 1147884, 1009249, 1102833, 1079839,
>> 920577, 889896, 831708, 1027160, 1004141, 1053969, 978913, 1058493,
>> 1166431, 948350, 948412, 863854, 775676, 686194, 699708, 877517,
>> 855250, 891139, 751240, 867679, 1010731, 882881, 908782, 899653,
>> 858629, 828679, 785364, 1057204, 1035422, 1046472, 974958, 1091468,
>> 1170113, 1024139, 1062967, 1051213, 1006391, 899269, 852185,
>> 1117451, 1137169, 1169148, 1099355, 1195778, 1294448, 1099930,
>> 1103412, 1084880, 1064711, 951741, 951003, 1167572, 1160377,
>> 1155739, 1097731, 1212005, 1323590, 1135465, 1136159, 1123725,
>> 1072563, 988504, 923774, 1184955, 1146244, 1187120, 1118133,
>> 1219236, 1315701, 1126955, 1149551, 1106605, 1058712, 912693,
>> 861161, 1096749, 1114567, 1153588, 1094638, 1187780, 1277890,
>> 1070771, 1101986, 996189, 1007737, 846412, 739882, 983093, 971856,
>> 1009164, 955152, 1042033, 1056119, 910781, 915331, 869120, 845165,
>> 782995, 716476, 898016, 901224, 955598, 913648, 992280, 1063029,
>> 931401, 933769, 873861, 822407, 804971, 747805, 904296, 928485,
>> 960101, 944055, 1019181, 1128435, 995324, 1002176, 955042, 892834,
>> 857278, 807727, 1035350, 992653, 1043240, 991543, 1012867, 1094743,
>> 956089, 1005115, 913995, 881382, 796717, 765572, 986340, 958601,
>> 991910, 947639, 1028986), v1992301 = c(70840, 74340, 75970, 72620,
>> 72590, 72320, 71220, 69980, 82940, 84910, 80230, 73010, 74010,
>> 71200, 64550, 72030, 67040, 58060, 65780, 73570, 71080, 73530,
>> 70170, 67420, 72770, 70300, 76620, 71950, 82400, 77510, 79280,
>> 73720, 75030, 71800, 75720, 68520, 72890, 73340, 65900, 68700,
>> 69190, 78770, 69700, 69720, 66280, 67950, 66450, 74310, 72100,
>> 79690, 77360, 74970, 73110, 66650, 76190, 76370, 69110, 68130,
>> 69240, 77060, 68900, 70100, 75210, 75370, 69140, 73610, 71880,
>> 70460, 81690, 75830, 76550, 64380, 77620, 70250, 73070, 69700,
>> 76760, 73740, 68430, 68590, 67880, 68000, 67850, 73290, 73330,
>> 71580, 76610, 77860, 71730, 86340, 73130, 74260, 78350, 89670,
>> 92310, 96840, 104600, 118550, 109870, 113690, 121680, 113260,
>> 82240, 88020, 85840, 81320, 84270, 79190, 75740, 72110, 73930,
>> 75840, 75900, 77350, 77450, 77940, 79730, 78970, 76830, 81130,
>> 68780, 74280, 72990, 75610, 74010, 74510, 79640, 77040, 73180,
>> 77450, 76500, 76360, 72950, 80210, 75280, 74220, 72640, 70760,
>> 72080, 74320, 75890, 73160, 73830, 70910, 77080, 71730, 71700,
>> 71440, 73600, 70030, 73910, 71780, 74220, 73980, 72180, 74590,
>> 78850, 73980, 81220, 73320, 70550, 86770, 67370, 68910, 71120,
>> 72460, 74740, 70800, 72760, 79610, 72920, 74290, 76720, 101550,
>> 60190, 70970, 70560, 70590, 71150, 74470, 71840, 70230, 69300,
>> 71960, 72530, 68620, 77810, 74260, 71340, 67720, 71970, 73330,
>> 67820, 70210, 72790, 74620, 70370, 70320, 73740, 71250, 71200,
>> 76850, 70010, 73020, 76190, 68980, 70820, 70170, 72000, 72100,
>> 73900, 75660, 73650, 71520, 73530, 71030, 72710, 75470, 76750,
>> 73720, 74040, 71920, 75250), v1996491 = c(20333104, 20404933,
>> 20429451, 20443702, 20442474, 20453171, 20494907, 20469899, 20426712,
>> 20423088, 20431074, 20563595, 20608707, 20722376, 20729355, 20768807,
>> 21040249, 21061442, 21072385, 21386395, 21361143, 21481726, 21596243,
>> 21614432, 21702298, 21736376, 21736357, 21744928, 21848072, 21846894,
>> 21947454, 21940721, 22017595, 22187732, 22226844, 22379231, 22554639,
>> 22641673, 22744549, 22907620, 22980134, 23092919, 23181451, 23206767,
>> 23425453, 23318773, 23348036, 23517288, 23482935, 23602818, 23784278,
>> 23974850, 23921664, 24074395, 24223603, 24289526, 24427768, 24503153,
>> 24606727, 24715635, 24661798, 24748394, 24847099, 24906920, 25035239,
>> 25153096, 25225233, 25425738, 25594618, 25555772, 25803231, 25918644,
>> 26050884, 26090730, 26304952, 26332475, 26592901, 26628543, 26691191,
>> 26795716, 26761208, 26875873, 26972976, 26938528, 27101037, 27180711,
>> 27241360, 27354111, 27442498, 27514060, 27466513, 27514474, 27386049,
>> 27517692, 27313803, 27136562, 27069115, 26962612, 26955040, 26877705,
>> 26886419, 26588008, 26677212, 26851356, 26953581, 27016460, 27155400,
>> 27251087, 27253169, 27300593, 27342306, 27436290, 27580341, 27686074,
>> 27860430, 27878998, 28147776, 28256507, 28354370, 28557974, 28716843,
>> 28861177, 29057415, 28913944, 28887173, 29038232, 29065032, 29165480,
>> 29222770, 29278705, 29304052, 29449805, 29488534, 29620041, 29795842,
>> 29879786, 29839111, 30084067, 30096498, 30229968, 30298304, 30287625,
>> 30389211, 30484631, 30628734, 30641277, 30932839, 30736619, 30970797,
>> 30851107, 30920882, 31165786, 31066548, 31258395, 31403046, 31382224,
>> 31477046, 31488824, 31587271, 31728896, 31880578, 32021255, 32294373,
>> 32244815, 32415589, 32434552, 32436242, 32524750, 32735158, 33033517,
>> 33172260, 33441230, 33246392, 33273322, 33847198, 33389255, 33687475,
>> 34049329, 33935583, 33971885, 33781778, 33706550, 33873093, 33938988,
>> 33985921, 34184776, 34057971, 34092996, 34084079, 34099494, 34350509,
>> 34805403, 34785441, 34875075, 35152571, 35003861, 35186315, 35518127,
>> 35361642, 35984437, 36321295, 36349916, 36944209, 36901171, 36971724,
>> 37173621, 37152181, 37260262, 37492044, 37517038, 37471633, 37827498,
>> 37872621, 38129314, 38213257, 38064353, 38230587, 38258308, 38560349,
>> 38883535, 39178365, 39132811, NA), v2063945 = c(5904.9, 5875.6,
>> 5887.4, 5930.5, 5938.4, 5925, 5937.2, 5937.5, 5934.5, 5926, 5937.3,
>> 5929, 5926.3, 5944.8, 5961.3, 5976.4, 5999, 5999.5, 6031.6, 6075.3,
>> 6093.5, 6103, 6138.1, 6146.9, 6164.7, 6197.4, 6214, 6186, 6184.7,
>> 6196, 6193, 6210, 6225.1, 6237.7, 6253.3, 6284.2, 6293.8, 6308.9,
>> 6288, 6300.3, 6301.9, 6319.3, 6331.5, 6307.3, 6316.1, 6334.8,
>> 6340.7, 6341, 6328.7, 6348.3, 6347.4, 6363, 6387.7, 6385.3, 6379.3,
>> 6389.3, 6408.1, 6421.1, 6419.8, 6395.7, 6405.6, 6391.1, 6424,
>> 6444.7, 6477.2, 6476.3, 6476.7, 6463.2, 6456, 6442.3, 6465.3,
>> 6502.4, 6499.9, 6511, 6518, 6507.3, 6521.6, 6530, 6558.8, 6559.4,
>> 6578.1, 6610, 6586.2, 6569.6, 6578.8, 6626.7, 6605.8, 6623, 6638.2,
>> 6599.7, 6596.8, 6614, 6632.7, 6650.1, 6568, 6576.2, 6480.5, 6461.2,
>> 6458.8, 6416.4, 6385.7, 6377.6, 6407.4, 6418.1, 6438, 6458.4,
>> 6465.5, 6451.6, 6483.7, 6477.7, 6471.1, 6506.2, 6543.2, 6573,
>> 6566.9, 6566.7, 6534.3, 6553.8, 6578.9, 6602.1, 6638.1, 6618.2,
>> 6629.4, 6658.9, 6649.1, 6677.9, 6670.2, 6684.5, 6668.5, 6651.3,
>> 6668.6, 6682.6, 6669.8, 6659.6, 6692.4, 6705.4, 6672.6, 6702,
>> 6709.3, 6698.6, 6714.3, 6717.2, 6735.8, 6768.9, 6771.7, 6786,
>> 6785.5, 6795.2, 6822.6, 6827.8, 6828.2, 6845.7, 6856.1, 6849.1,
>> 6856.9, 6845.2, 6843, 6861.8, 6864.3, 6882.6, 6864.9, 6848.7,
>> 6879.7, 6881.4, 6892.3, 6930.9, 6899.4, 6879.1, 6878.7, 6898.1,
>> 6899.6, 6894, 6925.8, 6943.9, 6953.9, 6949.8, 6919.6, 6935, 6930.3,
>> 6963.1, 6979.8, 6968.8, 6985.6, 6991, 7006.8, 7007.8, 6972.6,
>> 6991.4, 7002.6, 7024.7, 7028.3, 7033.3, 7074.1, 7077.5, 7069.9,
>> 7078.6, 7094.7, 7086, 7116.1, 7154.1, 7177.2, 7179.7, 7208.3,
>> 7208.8, 7171.6, 7187.1, 7194.9, 7212.3, 7215.8, 7246.8, 7302.5,
>> 7228.4, 7266.4, 7267.5, 7284.4, 7300.5, 7341.9, 7378.8, 7370,
>> 7417.1, 7438, 7431, 7420.3), v2063948 = c(359.8, 388.7, 394.7,
>> 383.6, 375.4, 395.2, 393.5, 410.6, 414, 419, 438.1, 453.4, 481,
>> 457.2, 466.4, 452.4, 446.7, 469.1, 449.1, 464, 472, 469.6, 441.2,
>> 461.4, 453.5, 456.9, 436.9, 459.1, 467.7, 464.8, 470.3, 464.8,
>> 499.8, 467, 449.6, 448.6, 441.9, 449.4, 462.1, 456.6, 456.9,
>> 460.7, 452, 456.8, 446.4, 450.5, 467.5, 478.6, 447.4, 468.4,
>> 465.8, 459.4, 480.1, 466.5, 455.8, 454.5, 451.9, 449.9, 414,
>> 435.2, 446.7, 433.1, 424.8, 425.3, 415.6, 416.5, 457.9, 449.5,
>> 468.9, 444.1, 439.8, 426.5, 450.9, 446, 455.1, 461.4, 433, 459.3,
>> 454.2, 448.3, 438.2, 426.1, 443.3, 468.2, 448.9, 435.6, 456.8,
>> 439.2, 445.8, 451.4, 457.7, 450.8, 457.1, 471.6, 518.1, 525.3,
>> 573.1, 623.1, 625, 632.7, 671.6, 677.8, 672.5, 666, 643.3, 641.2,
>> 664.9, 655.6, 644.7, 646.5, 638.5, 636.1, 619.8, 593.1, 614,
>> 646.8, 645.4, 595.7, 584.8, 585, 588.5, 570.8, 583.5, 576.4,
>> 585.8, 571, 554.4, 544.6, 571.3, 575.3, 583, 546, 586.4, 556.3,
>> 555.5, 568.6, 595.9, 568.8, 575.5, 570, 576.9, 613.3, 578.4,
>> 581.7, 564, 572, 575.5, 569.2, 550, 563.2, 565, 556.1, 540.1,
>> 552.3, 543.4, 570.3, 550.2, 553.8, 545.8, 541.8, 542.1, 547.2,
>> 566.7, 539.5, 526.9, 502.8, 521.6, 518.6, 505.1, 509.9, 506.5,
>> 500.6, 483.7, 485.2, 483.3, 510.2, 515.2, 501.8, 518.3, 499.4,
>> 507, 508.6, 503.5, 531.1, 481.2, 465.8, 479, 503.5, 491.2, 472.7,
>> 473.3, 483.9, 485.3, 475.5, 482.1, 445.6, 484.2, 473.7, 459.1,
>> 417.4, 423, 441.8, 421.4, 428.9, 424, 419.3, 424.3, 430.1, 438.8,
>> 455, 418.3, 439.1, 448.1, 428.5, 428.5, 416.7, 447.4, 442.2,
>> 460.5, 470.1, 405.2, 427.9, 448.2), v2063949 = c(5.7, 6.2, 6.3,
>> 6.1, 5.9, 6.3, 6.2, 6.5, 6.5, 6.6, 6.9, 7.1, 7.5, 7.1, 7.3, 7,
>> 6.9, 7.3, 6.9, 7.1, 7.2, 7.1, 6.7, 7, 6.9, 6.9, 6.6, 6.9, 7,
>> 7, 7.1, 7, 7.4, 7, 6.7, 6.7, 6.6, 6.6, 6.8, 6.8, 6.8, 6.8, 6.7,
>> 6.8, 6.6, 6.6, 6.9, 7, 6.6, 6.9, 6.8, 6.7, 7, 6.8, 6.7, 6.6,
>> 6.6, 6.5, 6.1, 6.4, 6.5, 6.3, 6.2, 6.2, 6, 6, 6.6, 6.5, 6.8,
>> 6.4, 6.4, 6.2, 6.5, 6.4, 6.5, 6.6, 6.2, 6.6, 6.5, 6.4, 6.2, 6.1,
>> 6.3, 6.7, 6.4, 6.2, 6.5, 6.2, 6.3, 6.4, 6.5, 6.4, 6.4, 6.6, 7.3,
>> 7.4, 8.1, 8.8, 8.8, 9, 9.5, 9.6, 9.5, 9.4, 9.1, 9, 9.3, 9.2,
>> 9, 9.1, 9, 8.9, 8.7, 8.3, 8.6, 9, 9, 8.3, 8.2, 8.1, 8.1, 7.9,
>> 8.1, 8, 8.1, 7.9, 7.7, 7.5, 7.9, 8, 8, 7.6, 8.1, 7.7, 7.7, 7.8,
>> 8.2, 7.8, 7.9, 7.8, 7.9, 8.4, 7.9, 7.9, 7.7, 7.8, 7.8, 7.7, 7.5,
>> 7.6, 7.6, 7.5, 7.3, 7.5, 7.3, 7.7, 7.4, 7.5, 7.4, 7.3, 7.3, 7.4,
>> 7.6, 7.3, 7.1, 6.8, 7, 7, 6.8, 6.9, 6.8, 6.8, 6.5, 6.5, 6.5,
>> 6.8, 6.9, 6.7, 7, 6.7, 6.8, 6.8, 6.7, 7.1, 6.4, 6.2, 6.4, 6.7,
>> 6.6, 6.3, 6.3, 6.4, 6.4, 6.3, 6.4, 5.9, 6.4, 6.3, 6.1, 5.5, 5.6,
>> 5.8, 5.5, 5.6, 5.6, 5.5, 5.6, 5.6, 5.7, 5.9, 5.4, 5.7, 5.8, 5.6,
>> 5.6, 5.4, 5.7, 5.7, 5.9, 6, 5.2, 5.4, 5.7), v2063950 = c(67.3,
>> 67.2, 67.3, 67.5, 67.4, 67.3, 67.3, 67.3, 67.2, 67.1, 67.3, 67.3,
>> 67.5, 67.3, 67.4, 67.3, 67.4, 67.5, 67.5, 68, 68.2, 68.2, 68.2,
>> 68.4, 68.4, 68.7, 68.6, 68.4, 68.4, 68.4, 68.3, 68.3, 68.7, 68.5,
>> 68.4, 68.6, 68.5, 68.7, 68.5, 68.5, 68.4, 68.5, 68.4, 68.1, 68,
>> 68.2, 68.3, 68.4, 67.9, 68.2, 68.1, 68.1, 68.4, 68.2, 67.9, 67.9,
>> 68, 68, 67.6, 67.5, 67.6, 67.3, 67.4, 67.6, 67.7, 67.6, 67.9,
>> 67.6, 67.7, 67.3, 67.4, 67.5, 67.7, 67.7, 67.8, 67.7, 67.5, 67.8,
>> 67.9, 67.8, 67.8, 67.9, 67.8, 67.8, 67.7, 67.9, 67.9, 67.8, 67.9,
>> 67.5, 67.5, 67.5, 67.7, 67.9, 67.5, 67.6, 67.1, 67.3, 67.3, 66.9,
>> 66.9, 66.8, 66.9, 66.9, 66.8, 66.9, 67.1, 66.8, 67, 66.9, 66.7,
>> 66.9, 67, 66.9, 67, 67.2, 66.8, 66.4, 66.5, 66.7, 67, 66.6, 66.8,
>> 66.9, 66.8, 66.9, 66.6, 66.5, 66.5, 66.3, 66.5, 66.2, 66.4, 65.9,
>> 66.2, 66.3, 66.2, 66.1, 66.2, 66, 66.1, 66.4, 66.2, 66.4, 66.2,
>> 66.4, 66.3, 66.3, 66.3, 66.4, 66.3, 66.3, 66.2, 66.2, 66.1, 66.2,
>> 65.9, 66.1, 66, 66, 65.8, 65.6, 66, 65.7, 65.7, 65.8, 65.6, 65.3,
>> 65.2, 65.3, 65.3, 65.1, 65.2, 65.3, 65.3, 65.4, 65.1, 65.1, 65.1,
>> 65.2, 65.4, 65.2, 65.2, 65.5, 65.1, 64.9, 64.6, 64.9, 64.8, 64.8,
>> 64.8, 64.9, 65.1, 65, 64.9, 64.6, 65, 64.8, 64.8, 64.7, 64.8,
>> 64.9, 64.9, 64.9, 64.4, 64.4, 64.4, 64.5, 64.5, 64.8, 64.8, 64.3,
>> 64.6, 64.3, 64.4, 64.3, 64.8, 65, 65, 65.3, 64.9, 64.9, 64.8),
>> ??? v2063951 = c(63.5, 63, 63.1, 63.4, 63.4, 63.1, 63.1, 63,
>> ??? 62.9, 62.7, 62.7, 62.5, 62.4, 62.5, 62.6, 62.6, 62.7, 62.6,
>> ??? 62.8, 63.2, 63.3, 63.3, 63.6, 63.6, 63.7, 64, 64.1, 63.7,
>> ??? 63.6, 63.6, 63.5, 63.6, 63.6, 63.7, 63.8, 64, 64, 64.1, 63.8,
>> ??? 63.8, 63.8, 63.8, 63.9, 63.5, 63.5, 63.7, 63.7, 63.6, 63.4,
>> ??? 63.5, 63.4, 63.5, 63.6, 63.5, 63.4, 63.4, 63.5, 63.5, 63.5,
>> ??? 63.2, 63.2, 63, 63.2, 63.4, 63.6, 63.5, 63.4, 63.2, 63.1,
>> ??? 62.9, 63.1, 63.4, 63.3, 63.4, 63.4, 63.2, 63.3, 63.3, 63.5,
>> ??? 63.4, 63.6, 63.8, 63.5, 63.3, 63.3, 63.7, 63.5, 63.6, 63.7,
>> ??? 63.2, 63.1, 63.2, 63.3, 63.4, 62.6, 62.6, 61.7, 61.4, 61.3,
>> ??? 60.9, 60.5, 60.4, 60.6, 60.6, 60.7, 60.8, 60.9, 60.7, 60.9,
>> ??? 60.8, 60.7, 60.9, 61.2, 61.4, 61.3, 61.2, 60.8, 60.9, 61.1,
>> ??? 61.3, 61.5, 61.3, 61.4, 61.6, 61.4, 61.6, 61.5, 61.5, 61.3,
>> ??? 61, 61.1, 61.2, 61, 60.9, 61.1, 61.1, 60.8, 61, 60.9, 60.8,
>> ??? 60.9, 60.8, 60.9, 61.2, 61.1, 61.2, 61.2, 61.2, 61.3, 61.3,
>> ??? 61.2, 61.3, 61.3, 61.2, 61.2, 61.1, 61, 61.1, 61.1, 61.2,
>> ??? 61, 60.8, 61, 61, 61, 61.3, 61, 60.8, 60.7, 60.8, 60.8, 60.7,
>> ??? 60.9, 61, 61.1, 61, 60.6, 60.7, 60.6, 60.8, 60.9, 60.8, 60.9,
>> ??? 60.9, 60.9, 60.9, 60.5, 60.6, 60.6, 60.7, 60.7, 60.7, 61,
>> ??? 60.9, 60.8, 60.8, 60.9, 60.7, 60.9, 61.1, 61.2, 61.1, 61.3,
>> ??? 61.2, 60.8, 60.9, 60.8, 60.9, 60.8, 61, 61.3, 60.6, 60.8,
>> ??? 60.7, 60.8, 60.8, 61.1, 61.3, 61.2, 61.4, 61.5, 61.3, 61.1
>> ??? ), v382201 = c(212164, 193583, 215866, 211263, 222871, 215519,
>> ??? 219942, 216251, 207703, 212013, 207781, 219596, 222977, 202836,
>> ??? 225014, 217040, 223269, 212081, 211644, 208999, 200885, 207899,
>> ??? 204091, 216573, 218997, 195583, 215113, 206360, 214884, 208636,
>> ??? 214072, 211055, 206974, 211607, 205837, 215020, 216294, 201218,
>> ??? 216097, 209029, 216690, 207829, 211911, 212123, 205356, 211083,
>> ??? 205076, 212205, 212779, 191520, 213090, 209484, 215975, 205127,
>> ??? 207085, 209844, 201884, 206749, 200246, 208719, 211380, 190749,
>> ??? 209346, 200994, 207431, 198322, 201983, 200869, 196045, 199493,
>> ??? 195149, 205332, 207126, 185698, 207850, 205701, 216965, 209296,
>> ??? 215644, 214061, 205121, 209924, 204004, 213241, 217848, 203144,
>> ??? 213848, 206368, 212813, 200362, 202502, 202339, 195491, 201314,
>> ??? 196093, 206104, 208701, 190879, 213025, 208090, 217292, 210890,
>> ??? 216526, 213092, 206553, 209884, 204042, 211314, 212389, 192037,
>> ??? 213815, 208826, 216756, 207533, 210091, 212435, 204595, 209379,
>> ??? 203827, 210218, 212451, 192470, 214095, 208717, 217913, 212215,
>> ??? 217087, 218783, 209940, 214059, 208998, 220829, 223171, 208246,
>> ??? 222458, 215499, 221694, 213553, 219458, 221757, 214203, 221003,
>> ??? 214380, 221215, 220019, 197689, 218045, 210866, 218954, 209825,
>> ??? 212145, 218399, 210138, 215187, 206605, 211504, 212024, 192311,
>> ??? 212260, 207136, 215097, 210584, 218528, 220739, 214149, 218748,
>> ??? 208968, 216712, 218399, 197318, 223819, 221927, 234903, 228622,
>> ??? 233660, 231277, 221779, 227918, 220888, 231634, 235272, 220580,
>> ??? 233970, 226381, 235613, 227998, 234353, 235796, 230542, 239605,
>> ??? 233645, 245124, 248935, 226969, 252118, 245888, 253940, 242869,
>> ??? 249518, 250305, 242427, 251666, 242906, 253645, 257586, 236425,
>> ??? 262768, 252595, 262910, 254396, 254417, 252449, 241404, 246729,
>> ??? 237361, 248692, 251752, 228933, 256286, 249336, 255692, 247109,
>> ??? 251855), v41691004 = c(96.1, 96.7, 97.1, 96.6, 98, 95.7,
>> ??? 97, 98.2, 97.3, 98.3, 98.4, 98.6, 95.7, 98.4, 99.3, 99.7,
>> ??? 99.1, 100.4, 99.8, 100.5, 99.8, 99.9, 103.6, 103.7, 101.6,
>> ??? 104.4, 103.6, 104.1, 104.8, 104.9, 104.8, 105.2, 104.7, 103.8,
>> ??? 104.5, 105.7, 104.6, 105.6, 106.8, 107.1, 107, 107.1, 108.5,
>> ??? 108.6, 109.1, 109.6, 109.8, 109, 109.3, 110.3, 111, 111.8,
>> ??? 110.8, 109.9, 111.4, 111, 110.8, 111.4, 111, 111.6, 108.9,
>> ??? 111.2, 110.9, 111.5, 111.7, 113.2, 112.7, 112.2, 111.1, 112.6,
>> ??? 112.2, 113.7, 113.5, 114.2, 113.4, 114.7, 113.4, 113.8, 114,
>> ??? 113.9, 112.9, 114.2, 114.5, 116.7, 117.5, 120.1, 120.5, 123,
>> ??? 125.5, 126.9, 126.9, 128.3, 127.5, 129.4, 129.9, 131, 128.9,
>> ??? 130.4, 130.4, 132.6, 134.3, 133.2, 133.7, 133.4, 132.7, 134.3,
>> ??? 134.4, 137.5, 134.8, 137.1, 136.3, 136.6, 136, 135.8, 134.6,
>> ??? 135.6, 136.1, 136.4, 136.2, 138, 136.4, 137.9, 139.7, 140.2,
>> ??? 139.9, 140.9, 141.9, 139.8, 139.4, 140.1, 140, 142.3, 139.1,
>> ??? 141.3, 141.3, 141.9, 139, 140.2, 140.3, 141.2, 139.8, 145.6,
>> ??? 143, 142.1, 140.9, 145, 142.5, 143.6, 144, 143.6, 145.1,
>> ??? 144.5, 143.9, 143.4, 142.7, 142.6, 140.9, 146, 142.6, 144.2,
>> ??? 145.4, 143.9, 145.8, 146.2, 144.3, 143.4, 144.2, 146.8, 141.5,
>> ??? 147.4, 146.1, 144.8, 146.4, 144.9, 147, 146, 143.2, 142.5,
>> ??? 141.9, 146.1, 144.8, 146.9, 143.7, 146, 151.6, 144.1, 146.8,
>> ??? 145.6, 146.2, 146.3, 147.1, 148.1, 145, 145.1, 149.3, 148.6,
>> ??? 147.9, 148.6, 149.9, 150.4, 148.2, 150.9, 149, 151.4, 147.8,
>> ??? 149.5, 149.2, 149.1, 151.8, 150.9, 151.2, 150, 149.5, 152.5,
>> ??? 152, 153.6, 149.9, 153.7, 152.4, 149.8, 151.8, 150, 152.5
>> ??? ), v41691014 = c(103.9, 106.6, 106.1, 105.2, 107.6, 105.4,
>> ??? 108, 106.5, 102.2, 101.4, 97.5, 105.2, 102.7, 101.5, 95.5,
>> ??? 101.7, 99, 100.5, 101.9, 98.6, 98.2, 100.7, 97.2, 102.4,
>> ??? 100.9, 103.6, 105.1, 104.9, 105.3, 100.9, 104.1, 104.8, 98.1,
>> ??? 98.3, 101.5, 101.9, 102.2, 101.8, 95.6, 97.6, 97.9, 102.3,
>> ??? 98.7, 102.7, 96.4, 101.3, 98, 95.4, 95.6, 101.3, 100.6, 97.5,
>> ??? 101.2, 98.8, 96.1, 98.4, 92.6, 99.2, 96.9, 100, 99.5, 103.8,
>> ??? 103.8, 104.1, 105.7, 106.9, 104.9, 103, 95.5, 101.5, 100.8,
>> ??? 101.9, 104.2, 104.3, 104.5, 104.4, 105.8, 105.2, 105.5, 105.4,
>> ??? 98.3, 100.4, 98.3, 98, 101.7, 102.9, 110.7, 120.4, 121.3,
>> ??? 120.1, 121.8, 121.1, 117.8, 122.4, 133.1, 134.9, 135.2, 137.7,
>> ??? 140, 140.8, 140.8, 140.8, 140.5, 139.9, 135.4, 138.2, 138.6,
>> ??? 138.5, 137, 140.4, 139.6, 136.9, 136.5, 136.9, 137.1, 136,
>> ??? 130.9, 136.1, 139, 136.5, 139.4, 141.2, 143.1, 145.1, 142.5,
>> ??? 143.6, 142.9, 142.1, 134.4, 141.4, 139.4, 141.8, 142.4, 143.5,
>> ??? 143.1, 143.4, 143, 142.3, 143, 143.3, 137.5, 141.6, 141.2,
>> ??? 142.9, 138.9, 143.3, 143.8, 140.8, 137, 138.6, 137.8, 137.5,
>> ??? 132, 137.8, 136, 135.7, 136.2, 137.2, 139.6, 140.2, 140.2,
>> ??? 139.9, 139.8, 140, 138.9, 139.3, 138.6, 139, 138.1, 139.1,
>> ??? 144.6, 144.4, 143.3, 143.9, 142.9, 143.8, 143.2, 142.6, 141.5,
>> ??? 141.1, 145.3, 145.8, 145.2, 145.3, 140.5, 140.1, 139.7, 137.1,
>> ??? 134.5, 135.4, 133.6, 132.4, 132.3, 133.5, 134, 133.7, 133,
>> ??? 133.2, 133, 132.9, 131.3, 133.5, 133.2, 132.8, 133.4, 134,
>> ??? 134.5, 134.4, 134.5, 134.8, 133.5, 130.4, 130.5, 131.5, 131,
>> ??? 130.4, 131.3, 130.4, 131.5, 131.5, 130.7, 131.3, 130), v41691919
>> = c(96.5,
>> ??? 97.1, 97.7, 98.1, 98.7, 98.7, 98.5, 98.5, 98.7, 98.4, 97.7,
>> ??? 97.7, 97.7, 98.4, 99.5, 99.5, 99.5, 99.8, 100.5, 101.3, 100.9,
>> ??? 101.1, 101.4, 100.4, 101.9, 102.7, 102.8, 101.8, 102.2, 102.3,
>> ??? 102.5, 103, 103.2, 102.9, 103.1, 103.4, 103.4, 103.6, 104,
>> ??? 104.1, 105, 104.8, 104.9, 104.7, 104.8, 105, 105.4, 105.3,
>> ??? 105.1, 105.8, 106.4, 106.5, 106.6, 106.8, 106.9, 107.5, 108.2,
>> ??? 107.7, 107.5, 107.6, 108.2, 107.9, 108.8, 109.1, 109.5, 109.3,
>> ??? 109, 109.1, 108.5, 108.4, 108.6, 108.8, 108.6, 109.7, 110.8,
>> ??? 111.1, 111.6, 111.1, 111.1, 110.9, 111, 110.9, 111.2, 111.1,
>> ??? 110.9, 111.4, 111.7, 112.5, 113.6, 114.2, 115.1, 114.8, 115.1,
>> ??? 113.7, 113.5, 112.8, 112.4, 113.1, 113.7, 113.2, 114, 114.2,
>> ??? 113.7, 113.7, 113.8, 113.9, 114.6, 114.1, 114.5, 115.1, 115.3,
>> ??? 115.7, 116.2, 116, 117, 117, 117.1, 117.8, 118, 117.9, 117.8,
>> ??? 118, 119.4, 119.9, 120.9, 120.2, 120.5, 120.6, 121.1, 121,
>> ??? 121, 120.3, 120.6, 121.4, 122, 122.4, 122.4, 121.6, 121.4,
>> ??? 121.8, 122, 122.2, 121.9, 121.3, 121.3, 122.8, 123.2, 122.9,
>> ??? 123, 123.2, 123.4, 123.4, 123.5, 123.3, 123.3, 123.1, 123.3,
>> ??? 124.6, 125.1, 125.9, 126.5, 126.9, 126.5, 126.5, 126.7, 126.8,
>> ??? 126.3, 125.4, 125.3, 126.2, 127.1, 126.9, 127.7, 128.2, 128.4,
>> ??? 128, 127.8, 127.9, 127.9, 127.5, 127.8, 128.2, 129, 129.6,
>> ??? 130.1, 130.4, 130.3, 129.9, 130.1, 130.6, 130.2, 130, 130.8,
>> ??? 131.2, 131.4, 132, 131.9, 132.1, 131.9, 131.8, 132.3, 132.3,
>> ??? 132.7, 132, 133.2, 134, 134.6, 134.8, 134.9, 135.3, 136,
>> ??? 135.9, 135.2, 135.6, 135.1, 135, 135.2, 136, 137, 137.4,
>> ??? 138.1, 138, 138.8), v41691920 = c(95, 95.9, 96.6, 96.8, 97.7,
>> ??? 98.1, 98, 97.4, 96.7, 96.8, 97.4, 98, 99, 99.9, 100.3, 100.2,
>> ??? 100.1, 100.9, 100.6, 100.3, 99.1, 98.5, 100.2, 100.9, 102,
>> ??? 102.1, 102, 102, 101.6, 102.1, 102.5, 101.6, 100.5, 100.2,
>> ??? 100.9, 102.2, 102.5, 102.5, 102.6, 102.2, 103.2, 103.8, 104.3,
>> ??? 104, 103.3, 103.7, 104.9, 105.9, 105.4, 106, 106.4, 107.2,
>> ??? 107.5, 107.8, 107.3, 107.3, 105.9, 105.9, 106.6, 107.6, 109,
>> ??? 108.8, 109.2, 108.9, 109.2, 109.5, 108.9, 109, 108.2, 108.3,
>> ??? 109.6, 109.5, 110.8, 112.9, 112.3, 112, 113, 112.5, 112.2,
>> ??? 111.9, 110.5, 110.1, 111.2, 111.7, 112.5, 113, 112.8, 113.9,
>> ??? 115.2, 116.1, 117, 117.1, 117.3, 117.4, 119.6, 119.7, 120.8,
>> ??? 121.5, 121.6, 121.8, 121.6, 122.3, 122.3, 121.2, 120.2, 120,
>> ??? 121.6, 122.3, 123, 123.3, 123.8, 123, 123.1, 123.1, 123.6,
>> ??? 123.5, 122.5, 122.2, 122.9, 124.1, 124.9, 125.2, 127.4, 127.1,
>> ??? 128.5, 128.9, 129.7, 129.6, 128.4, 128.1, 129.6, 129.4, 130.6,
>> ??? 131, 130.5, 130.9, 131.6, 130.7, 131.5, 131.9, 130.1, 130.5,
>> ??? 131.5, 131.5, 131.7, 133.3, 132.8, 132.9, 132.9, 133.6, 133.5,
>> ??? 133.5, 131.7, 132.4, 133.5, 133, 133.7, 135.1, 135.1, 135.1,
>> ??? 136.7, 137.8, 137.5, 136.7, 136, 135.5, 137.6, 137.7, 140.2,
>> ??? 140.3, 140.2, 140, 141.7, 141.9, 141.6, 141.4, 140, 141.3,
>> ??? 142.4, 143.6, 145.7, 146.9, 146.1, 145.1, 144, 143.8, 144,
>> ??? 142.4, 140.5, 140.8, 141.6, 141.5, 142.1, 142.6, 142.4, 143,
>> ??? 143.6, 144.1, 145.1, 144.3, 142.8, 142, 143.3, 144.3, 146.3,
>> ??? 146.6, 146, 147, 146.7, 148.3, 148.9, 148.1, 146.7, 146.3,
>> ??? 148, 150.2, 151.6, 151.9, 151.9, 151.8, 152.7, 153.7, 153.8
>> ??? ), v41691952 = c(97.3, 97.4, 98.9, 98.8, 99, 99.6, 99.8,
>> ??? 99.7, 99.2, 99.9, 99.3, 99.5, 99.5, 99.6, 100.4, 99.1, 99.3,
>> ??? 99, 99.4, 101.5, 100.9, 101.9, 101.6, 97.7, 101.5, 101.8,
>> ??? 102.2, 100.4, 102.3, 103.1, 103, 103.5, 103.6, 103.7, 103.8,
>> ??? 104.4, 103.9, 104.1, 104.4, 105, 105.2, 105.3, 106, 106.1,
>> ??? 106.3, 106.7, 107, 107.1, 107.4, 107.9, 108.2, 108.2, 108.6,
>> ??? 108.8, 109.2, 109.3, 109.6, 110.3, 110.4, 110.2, 111.7, 112,
>> ??? 112.2, 111.7, 113, 112.9, 112.5, 112.7, 112.8, 113, 112.4,
>> ??? 112.9, 112.9, 112.9, 113.3, 114.2, 114.2, 114.4, 114.4, 114.7,
>> ??? 115, 116, 115.5, 115.8, 115.6, 115.9, 116.3, 117.1, 117.5,
>> ??? 117.6, 119.9, 120, 119.8, 120.1, 120.6, 120.6, 120.3, 120.3,
>> ??? 120.2, 118.1, 118.3, 118.3, 117.8, 117.7, 117.7, 118.2, 118,
>> ??? 118.2, 118.6, 118.6, 118.8, 120, 121.4, 121.4, 122.9, 122.5,
>> ??? 122.5, 123.2, 122.8, 123, 122.4, 121.5, 122, 122.2, 123,
>> ??? 123.1, 123.5, 123.6, 123.6, 123.8, 123.9, 124.1, 124.3, 124.3,
>> ??? 124.4, 124.4, 125.2, 125.3, 125.4, 125.4, 125.2, 125.5, 125.4,
>> ??? 125.4, 125.9, 126.1, 126.1, 126.1, 126.4, 126.6, 127.1, 127.2,
>> ??? 127.4, 127.4, 128.1, 128.3, 128.8, 128.9, 129.1, 131.9, 132.4,
>> ??? 132.3, 132.1, 132.1, 132.1, 132.3, 132.6, 132.9, 133.4, 133.5,
>> ??? 133.8, 133.5, 134.1, 134.4, 134.9, 135, 135.1, 135, 135.3,
>> ??? 135.5, 136.1, 136.2, 136.5, 136.9, 137.5, 138, 138.5, 138.7,
>> ??? 138.9, 139.5, 139.9, 140.1, 140.2, 140.2, 140.5, 140.7, 140.3,
>> ??? 140.6, 139.8, 140, 140.1, 140.5, 140.8, 141.1, 141.7, 141.9,
>> ??? 141.9, 141.9, 142.1, 142.4, 142.6, 142.9, 143.2, 143.7, 143.9,
>> ??? 144.1, 145, 145.5, 145.8, 146.5, 146.6, 146.8, 147.3), v41691965
>> = c(96.9,
>> ??? 97.5, 97.8, 98.7, 98.8, 98.9, 98.7, 98.9, 100, 99.4, 98.9,
>> ??? 98.9, 98.8, 99.5, 100.3, 100.2, 100.2, 100.5, 100.8, 100.7,
>> ??? 100, 99.7, 99.9, 99.5, 99.5, 100.8, 100.8, 101, 101.1, 101,
>> ??? 101.1, 101.1, 101.6, 101.7, 101.3, 101.5, 101.2, 101.5, 101.7,
>> ??? 102.2, 101.9, 101.4, 101.2, 101.3, 101.5, 101.3, 101.2, 101.2,
>> ??? 101.2, 101.3, 101.7, 101.3, 101.5, 101.6, 101.2, 101.5, 102.2,
>> ??? 101.9, 102.5, 102.5, 102.4, 102.5, 102.3, 102.3, 102.6, 101.7,
>> ??? 100.9, 101.3, 101.9, 102.2, 102.3, 102.1, 102.3, 103, 103.4,
>> ??? 103.6, 103.3, 102.9, 103.3, 103.6, 103.9, 103.6, 103.4, 103.2,
>> ??? 103.5, 104.9, 104.6, 104.6, 104.6, 104.4, 104.6, 104.6, 106.1,
>> ??? 105.6, 106, 105.9, 105.9, 106.8, 107.1, 107.6, 107.6, 107.1,
>> ??? 106.6, 106.3, 107.9, 107.5, 108.6, 107.6, 108.1, 109.3, 109.2,
>> ??? 109.2, 109.4, 108.9, 110, 109.7, 110.4, 109.7, 110.1, 110,
>> ??? 110.1, 110.6, 111, 110.9, 111.5, 111.7, 111.8, 112.4, 113,
>> ??? 113.1, 113.3, 113.1, 113.3, 114.2, 113.8, 114, 114.1, 113.9,
>> ??? 113.9, 113.4, 113.5, 114.2, 114.5, 114, 114.4, 115.1, 115.6,
>> ??? 115.6, 115.2, 115.6, 116.1, 115.5, 115.6, 115.4, 115.6, 115.6,
>> ??? 115.6, 116.2, 116.8, 116, 116.4, 117.6, 117.7, 119.2, 119.2,
>> ??? 119.6, 119.6, 119.5, 119.8, 120.7, 121, 121.6, 121.7, 122,
>> ??? 121.9, 122.2, 122.4, 122.3, 121.7, 121.1, 121.4, 122.3, 122.6,
>> ??? 123.1, 123.7, 124.1, 124.3, 123.4, 123.7, 124.1, 123.7, 123.5,
>> ??? 123.6, 124.4, 124.2, 124.8, 124.4, 124.8, 124.2, 123.5, 123.2,
>> ??? 124.1, 124.8, 122.3, 124.9, 126.4, 125.7, 126.2, 125.2, 125.2,
>> ??? 125.9, 125.7, 125.5, 126.6, 126.3, 125.9, 125.8, 125.3, 124.9,
>> ??? 125.3, 125.3, 125.7, 124.9), v41691980 = c(102.4, 103.2,
>> ??? 105.3, 101, 100.4, 101.2, 101.2, 101.8, 102.7, 101.9, 100.5,
>> ??? 99.5, 95.8, 99, 101.8, 101.8, 99, 99.1, 101, 100.9, 101.9,
>> ??? 101.8, 100.1, 97.8, 96.6, 98.7, 99.9, 97.6, 97.7, 94.9, 95.6,
>> ??? 96.1, 99.2, 98.5, 99.6, 98, 98, 99.3, 100.2, 98.9, 97.7,
>> ??? 96.8, 95.3, 96.5, 99.8, 100.1, 98.1, 95.7, 92, 97.2, 99.3,
>> ??? 97.1, 96, 93.7, 93.2, 96.1, 99.7, 99.7, 95.8, 94.7, 92.1,
>> ??? 92.3, 97, 93.5, 94.1, 91.8, 90.2, 92.7, 95.2, 93.9, 94.4,
>> ??? 90.9, 90.7, 92.5, 95.4, 96.3, 94, 90.1, 92.7, 94.2, 94.7,
>> ??? 95, 94.6, 92.2, 89.4, 92.5, 93.7, 91.6, 90.2, 90.4, 92.5,
>> ??? 93.1, 95.5, 93.1, 93, 91.2, 90.4, 92.9, 95.2, 94.7, 92.6,
>> ??? 89.1, 89.6, 90.6, 93.2, 93.3, 94, 88.9, 88.4, 90.2, 91.9,
>> ??? 92.6, 92.2, 88.2, 88, 89.7, 93.1, 95, 91.5, 88.1, 86.3, 89,
>> ??? 93.7, 93.7, 93.1, 91, 89.9, 90.6, 95.8, 95.4, 92, 88.6, 88.3,
>> ??? 92.6, 94.6, 93.3, 91.2, 88.6, 86.5, 86.5, 90, 92.1, 88.6,
>> ??? 85.7, 83.8, 88.7, 93, 91.4, 91.1, 88.8, 87.6, 89.1, 89.8,
>> ??? 90.3, 87.9, 85.4, 85.2, 89.3, 92, 93.6, 93.2, 91.7, 90.9,
>> ??? 91.2, 94, 95.8, 93.3, 90.4, 89.3, 91, 93.7, 93.4, 92.3, 91.5,
>> ??? 91.7, 91.4, 93.6, 94.9, 94.2, 89.8, 88.1, 88.7, 92.9, 93.6,
>> ??? 93.6, 92.6, 90.6, 91.8, 94.3, 95.3, 93.2, 89.7, 88.2, 89.3,
>> ??? 91, 90.2, 90.3, 89.2, 88.9, 89.7, 90.6, 91.7, 91.6, 88.1,
>> ??? 87.6, 88.5, 90.5, 91.7, 90.6, 89.5, 88.8, 90.1, 91.9, 93.8,
>> ??? 92.6, 88.9, 89, 91.1, 92.3, 92.6, 92, 90.4, 90.2), v41691988 =
>> c(98.2,
>> ??? 98.6, 97.4, 99.3, 100.4, 98.8, 97.3, 97.8, 99, 97.3, 94.9,
>> ??? 94.4, 95.3, 95.8, 97.8, 99.8, 99.6, 99.3, 100.4, 101.3, 101.2,
>> ??? 101.9, 102.9, 104.5, 106.3, 107.8, 107.7, 105.6, 104.2, 103.9,
>> ??? 104.2, 106.9, 106.5, 105.3, 105.9, 105.9, 107.1, 106.6, 106.8,
>> ??? 107, 110.4, 109, 108.6, 107.2, 106.5, 107.4, 109, 108.4,
>> ??? 109.5, 109.7, 110.6, 111, 110.5, 111.3, 111.7, 113.7, 116.5,
>> ??? 113.7, 113.1, 113.4, 115.1, 112.5, 114.3, 117.8, 116.8, 116.9,
>> ??? 117.7, 117, 112.1, 111.7, 112.8, 114.2, 112.7, 115.1, 118.7,
>> ??? 118.8, 120.3, 119.2, 118.2, 116.1, 116.6, 115.4, 117.3, 118,
>> ??? 118, 117.1, 117.6, 120.3, 123.7, 125.8, 125.7, 123.5, 122.5,
>> ??? 116.5, 113.1, 110.9, 109.2, 110.2, 111.2, 111.2, 114.5, 116.7,
>> ??? 114.9, 115.8, 114.4, 115, 117, 117, 118.8, 118.5, 119, 119.1,
>> ??? 119.5, 119, 119.9, 119.3, 118.9, 121.4, 124, 124.2, 125.8,
>> ??? 125.6, 127.4, 130.2, 132.4, 129.1, 128.9, 128.9, 129.5, 129.5,
>> ??? 130.3, 128.1, 130.2, 130.8, 132.1, 134.1, 132.3, 129.7, 129,
>> ??? 130.2, 130.8, 130.7, 130.1, 128.7, 130.1, 133.3, 132.3, 131.3,
>> ??? 131.2, 132.1, 132.3, 131.8, 131.8, 131.2, 130.8, 131.7, 132.3,
>> ??? 133.8, 134.1, 134.7, 134.8, 135.7, 133.9, 132.9, 131.8, 131.4,
>> ??? 129.2, 126.1, 123.4, 125.3, 127.3, 127.4, 128.7, 130.4, 130.6,
>> ??? 128.2, 125.7, 125.6, 126.5, 126.3, 125.7, 124.5, 125.6, 128.6,
>> ??? 130.2, 130.8, 129.5, 128.5, 128.3, 129.9, 128.8, 130.3, 134,
>> ??? 133, 131.7, 134.3, 133.6, 132.9, 132.7, 132.8, 134.5, 134.8,
>> ??? 136.5, 137, 138.6, 138.9, 139.3, 140.7, 140.7, 141.2, 142.7,
>> ??? 142, 138.6, 139.2, 137.4, 138.5, 137, 138, 140.5, 142.7,
>> ??? 143.8, 143.2, 145.2), v41691994 = c(103.8, 103.4, 100.6,
>> ??? 110.1, 115.3, 105.7, 96.6, 98.7, 104.8, 96.7, 88.7, 85.4,
>> ??? 88.7, 89.1, 96.7, 103, 100, 98.4, 101.4, 104, 104.4, 106.7,
>> ??? 104.5, 103, 109.3, 116.4, 115.2, 104.5, 97, 98.6, 100.1,
>> ??? 111.2, 109.5, 103.7, 100.5, 100.1, 107, 109.3, 110, 111.4,
>> ??? 127.5, 120.5, 118.5, 117.9, 116.1, 122.8, 115.3, 109.1, 114.8,
>> ??? 117, 123.6, 128.9, 123.8, 128.3, 133.6, 142.9, 159.4, 143.5,
>> ??? 127.3, 128.7, 138.8, 125.6, 132.5, 150.2, 145.2, 147.9, 154.3,
>> ??? 152.2, 124.9, 122.8, 123, 129, 120.7, 132.6, 149.5, 149.3,
>> ??? 155.3, 151.1, 149, 141.7, 143.3, 140.5, 147.8, 148.9, 152.1,
>> ??? 152.2, 156.6, 167.5, 182.1, 192.4, 193.9, 182, 182.2, 156.2,
>> ??? 122.6, 110.1, 116, 120.4, 124.5, 125.1, 137.6, 145.5, 138,
>> ??? 143.5, 139.8, 139.8, 144, 139.6, 144.6, 142.1, 147.5, 147.1,
>> ??? 144.4, 140.9, 151, 149, 148.1, 155.2, 159.2, 162, 167.1,
>> ??? 168.1, 177.6, 191.4, 195.8, 189.3, 189.5, 186.8, 184, 182,
>> ??? 177.7, 173.2, 178.2, 184.1, 190.4, 196.8, 188.7, 179.8, 182.4,
>> ??? 187.4, 190.7, 186.1, 179.6, 176.2, 178.2, 190.6, 189.6, 183.7,
>> ??? 182.2, 187, 192.5, 191.3, 191, 182.7, 181.5, 186.1, 184.4,
>> ??? 189.7, 191.6, 196.8, 197.9, 204.5, 200.6, 192.7, 189.9, 181.1,
>> ??? 167.9, 151, 131.8, 144.8, 152.6, 153.3, 162.9, 172.7, 175.8,
>> ??? 163.8, 150.9, 145.7, 147.3, 144.2, 136.1, 128.3, 132.2, 146.8,
>> ??? 152.9, 154.8, 149.5, 146.5, 145.7, 151.6, 146.7, 152.1, 163.9,
>> ??? 156.6, 151.8, 168.9, 163.9, 156.8, 158.8, 161.3, 172.8, 167.2,
>> ??? 177.8, 175.7, 180.8, 178.6, 182.5, 194.2, 198.8, 193.7, 194.8,
>> ??? 192, 186.6, 179.2, 161.8, 152, 146.8, 146.3, 166.2, 184,
>> ??? 186.9, 174.6, 183.5), v42170711 = c(1170046, 1167260, 1172192,
>> ??? 1173559, 1173865, 1163159, 1173230, 1168291, 1148136, 1135730,
>> ??? 1176671, 1184706, 1186957, 1177962, 1194820, 1192486, 1204268,
>> ??? 1196677, 1198166, 1192339, 1188059, 1189860, 1195524, 1179193,
>> ??? 1160881, 1156255, 1154137, 1151079, 1223651, 1193786, 1187791,
>> ??? 1185070, 1222101, 1233158, 1222271, 1205916, 1211049, 1237429,
>> ??? 1221806, 1288146, 1268949, 1239192, 1259979, 1259944, 1257909,
>> ??? 1229472, 1206627, 1245003, 1262388, 1269395, 1276432, 1277248,
>> ??? 1261277, 1291593, 1298114, 1305550, 1267413, 1294688, 1295694,
>> ??? 1317484, 1333362, 1330478, 1362024, 1326774, 1319396, 1318673,
>> ??? 1334044, 1346594, 1339499, 1363158, 1404445, 1434255, 1396545,
>> ??? 1355204, 1367796, 1352577, 1349119, 1374720, 1398253, 1369215,
>> ??? 1413653, 1431392, 1421479, 1419408, 1487702, 1434740, 1434398,
>> ??? 1472990, 1471028, 1460549, 1461166, 1482247, 1490620, 1486005,
>> ??? 1467463, 1444413, 1469876, 1477567, 1460040, 1446679, 1452324,
>> ??? 1456279, 1455826, 1472154, 1485169, 1464240, 1487456, 1518692,
>> ??? 1516207, 1512158, 1535860, 1535652, 1538473, 1549310, 1517172,
>> ??? 1511436, 1531246, 1558108, 1555668, 1566767, 1566882, 1580492,
>> ??? 1566209, 1594096, 1600677, 1613907, 1619388, 1607791, 1602639,
>> ??? 1612385, 1631814, 1643924, 1650496, 1659254, 1679545, 1674956,
>> ??? 1675779, 1676020, 1676843, 1679625, 1694232, 1695255, 1720478,
>> ??? 1741576, 1736856, 1722187, 1750359, 1728204, 1736587, 1752139,
>> ??? 1752173, 1770304, 1762990, 1777806, 1787814, 1766222, 1771789,
>> ??? 1806919, 1817679, 1826720, 1854228, 1850492, 1857490, 1892994,
>> ??? 1890432, 1892879, 1890258, 1911380, 1915088, 1891501, 1922679,
>> ??? 1947153, 1994578, 1970953, 1983867, 2014740, 2008756, 2030234,
>> ??? 2032886, 2059674, 2068652, 2073047, 2083031, 2136894, 2115520,
>> ??? 2130280, 2158663, 2134182, 2172927, 2173367, 2173553, 2156196,
>> ??? 2218283, 2237749, 2206090, 2227664, 2221296, 2238127, 2265268,
>> ??? 2262536, 2284770, 2309970, 2310161, 2307041, 2331779, 2369833,
>> ??? 2388535, 2335561, 2373858, 2397911, 2392511, 2405673, 2410779,
>> ??? 2411443, 2438862, 2483861, 2444050, 2429816, 2451814, 2464695,
>> ??? 2470975, 2496128, 2476598), v44174769 = c(NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, 14870199, 13850896, 13723104, 12678291,
>> ??? 12481142, 13192192, 14390793, 13792514, 12301574, 12337737,
>> ??? 12179895, 13722325, 14545047, 12249895, 13035258, 10927584,
>> ??? 10791532, 11585680, 11896537, 12370088, 10788546, 10909386,
>> ??? 11181286, 13637486, 13731878, 12072844, 12075216, 10300763,
>> ??? 10397213, 11345202, 12392196, 12028914, 11059735, 11243073,
>> ??? 11257174, 13342863, 13491946, 11306554, 12021618, 11138199,
>> ??? 11643671, 11282364, 12719648, 12056468, 10814757, 10851400,
>> ??? 10601293, 11868363, 12184798, 11191009, 11849582, 10987177,
>> ??? 11591640, 11751264, 12496489, 11803400, 10478331, 11611753,
>> ??? 12350431, 12881577, 13487609, 11618200, 12250783, 11826684,
>> ??? 12102462, 12172373, 13118089, 12941911, 11778903, 12221484,
>> ??? 12655891, 13338404, 13206706, 11502235, 12312545, 11265569,
>> ??? 12023172, 12146589, 12418915, 12514403, 12441607, 12174062,
>> ??? 12761836, 13383973, 13602164, 12153121, 13222284, 11645090,
>> ??? 11870180, 11908548, 12536353, 11770646, 10308391, 9717057,
>> ??? 11975998, 12389373, 14714456, 13612168, 13246479, 12151889,
>> ??? 11885998, 12568410, 13693121, 13972899, 12538465, 12579381,
>> ??? 12575806, 13673046, 13741588, 12046519, 13195851, 12099752,
>> ??? 12305290, 12681867, 13133006, 12799308, 11905570, 12044349,
>> ??? 12653710, 14138740, 14612989, 12188411, 12860259, 11715642,
>> ??? 12189386, 12338008, 13697316, 13571423, 12294172, 12624440,
>> ??? 12973386, 13561183, 14465206, 12636860, 13160251, 11960370,
>> ??? 12456209, 12804423, 14463529), v47794 = c(2600262, 2215920,
>> ??? 2120366, 1437092, 708746, 493068, 361536, 438401, 445833,
>> ??? 778862, 1138557, 1636203, 2233518, 2114752, 1974646, 1534387,
>> ??? 998860, 559524, 447850, 393285, 402189, 651017, 1523288,
>> ??? 2076491, 2751527, 2619063, 2246900, 1555782, 855432, 475902,
>> ??? 452943, 420167, 414293, 850387, 1358940, 1968115, 2708192,
>> ??? 2497621, 1948959, 1466106, 828148, 462889, 422246, 405036,
>> ??? 425039, 687867, 1280263, 2001790, 2666491, 2470415, 2263741,
>> ??? 1411442, 900073, 491461, 413880, 390364, 393934, 586734,
>> ??? 1266299, 2202400, 2309033, 2164470, 2145389, 1328220, 736964,
>> ??? 480707, 445443, 369321, 424694, 845898, 1385128, 1748853,
>> ??? 3283157, 3804876, 3244792, 2477267, 1569953, 1169971, 1121247,
>> ??? 1218442, 1182862, 1409876, 2241749, 3274756, 3494706, 3615470,
>> ??? 3455902, 2199773, 1647961, 1230718, 1125165, 1078839, 1099809,
>> ??? 1539702, 2190793, 3126922, 3886115, 3290320, 2942615, 2110948,
>> ??? 1405583, 1308947, 1014607, 1148503, 1066941, 1596998, 2039112,
>> ??? 2798847, 3446040, 3255602, 2815621, 1839592, 1426302, 1177683,
>> ??? 1090902, 1145557, 1140902, 1524916, 2145484, 3256107, 3775523,
>> ??? 3559115, 3289994, 2219521, 1774688, 1291471, 1191457, 1170953,
>> ??? 1159087, 1543907, 2159364, 2786142, 3447635, 3179625, 2751435,
>> ??? 2152765, 1596927, 1290466, 1278246, 1247608, 1253886, 1622877,
>> ??? 2433993, 2831938, 3565488, 3636268, 3253630, 2559152, 1626984,
>> ??? 1251460, 1163841, 1130486, 1190063, 1491645, 2345181, 3346689,
>> ??? 4165953, 3842336, 3682352, 2580288, 1731497, 1199181, 1098817,
>> ??? 1113400, 1079822, 1464918, 2344949, 3006111, 3847035, 4007847,
>> ??? 3550039, 2397284, 1457876, 1155121, 1115934, 1113953, 1185585,
>> ??? 1421534, 2074815, 2726464, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
>> ??? NA, NA, NA, NA, NA), v52300164 = c(75.656, 69.085, 78.652,
>> ??? 76.864, 72.529, 81.702, 56.027, 83.519, 70.07, 69.387, 77.807,
>> ??? 74.695, 100.946, 79.579, 93.638, 78.087, 86.824, 73.918,
>> ??? 87.194, 83.403, 76.443, 89.991, 86.48, 72.567, 72.041, 114.235,
>> ??? 82.83, 79.503, 73.893, 78.598, 81.738, 91.451, 86.032, 108.011,
>> ??? 79.145, 77.618, 65.539, 79.438, 102.972, 90.846, 85.324,
>> ??? 83.823, 77.963, 104.5, 85.947, 95.124, 85.782, 76.143, 57.357,
>> ??? 71.102, 79.966, 90.391, 70.392, 99.74, 101.093, 68.519, 70.549,
>> ??? 64.984, 84.727, 80.825, 78.937, 78.679, 81.605, 74.906, 74.252,
>> ??? 84.369, 86.341, 66.781, 61.618, 74.485, 69.132, 63.522, 74.888,
>> ??? 52.395, 57.398, 65.234, 74.207, 65.783, 73.555, 68.3, 82.511,
>> ??? 71.971, 78.523, 48.721, 65.401, 72.862, 78.834, 82.79, 72.919,
>> ??? 92.277, 56.461, 93.681, 87.929, 89.085, 56.675, 53.501, 43.62,
>> ??? 37.324, 59.424, 36.481, 42.83, 50.28, 41.606, 48.622, 57.833,
>> ??? 72.492, 53.894, 53.125, 54.779, 70.139, 58.95, 67.712, 69.299,
>> ??? 56.243, 56.468, 64.636, 60.448, 46.748, 81.488, 45.477, 50.752,
>> ??? 66.029, 73.787, 77.554, 58.62, 75.255, 76.621, 66.846, 66.99,
>> ??? 75.322, 54.47, 71.371, 80.795, 71.066, 87.498, 99.376, 76.071,
>> ??? 70.67, 72.869, 87.986, 73.416, 68.684, 60.868, 79.346, 47.764,
>> ??? 68.905, 58.11, 49.672, 65.877, 59.735, 62.198, 70.928, 60.752,
>> ??? 71.221, 60.905, 56.839, 64.447, 61.82, 42.108, 67.44, 65.443,
>> ??? 55.605, 68.712, 52.171, 53.423, 52.954, 58.842, 60.084, 61.375,
>> ??? 41.948, 62.912, 64.89, 84.012, 57.381, 51.031, 96.148, 90.318,
>> ??? 75.115, 87.755, 55.083, 61.053, 76.113, 86.185, 68.21, 72.047,
>> ??? 88.35, 79.231, 74.712, 69.061, 84.729, 58.144, 79.135, 100.138,
>> ??? 84.905, 88.793, 74.315, 54.912, 78.051, 82.618, 97.755, 77.894,
>> ??? 59.878, 97.51, 64.46, 84.769, 105.506, 74.729, 69.223, 54.825,
>> ??? 104.078, 68.996, 64.279, 78.005, 91.656, 85.848, 70.439,
>> ??? 73.273, 56.563, 61.413, 84.829, 48.976, 66.784, 69.821),
>> ??? v52367573 = c(9464438, 9389850, 9414772, 9544913, 9572846,
>> ??? 9584905, 9382415, 9482770, 9307864, 9492970, 9715825, 9940764,
>> ??? 10187105, 9817105, 9894764, 10188403, 9752106, 10139040,
>> ??? 10087479, 10102348, 10016255, 10262020, 10237805, 10307612,
>> ??? 10275184, 10419349, 10293724, 10289432, 10424067, 10431761,
>> ??? 10527812, 10580315, 10595496, 10523776, 10425828, 10335721,
>> ??? 10424135, 10732762, 10659720, 10501711, 10717818, 10609381,
>> ??? 10645290, 10737670, 10887666, 10937108, 11132192, 10931217,
>> ??? 11103939, 11305801, 11075886, 11028720, 11033612, 11241378,
>> ??? 11397097, 11326044, 11304720, 11399814, 11421142, 11492582,
>> ??? 11649949, 11524634, 11642228, 11686280, 11599854, 11634717,
>> ??? 11884843, 11829986, 11677538, 11713733, 11776782, 11976272,
>> ??? 11770553, 11952997, 12037744, 12132233, 12294168, 12192129,
>> ??? 12059206, 12249964, 12079285, 12188221, 12370418, 12650935,
>> ??? 12764803, 12552916, 12608853, 12795617, 12750516, 12876709,
>> ??? 12952859, 12827097, 12887679, 12691419, 12219526, 11768893,
>> ??? 11971337, 12144957, 12191313, 12116405, 12224295, 12297602,
>> ??? 12347845, 12466555, 12569735, 12626521, 12497659, 12654901,
>> ??? 12729332, 12664595, 13078388, 12984005, 12842562, 12990498,
>> ??? 12993825, 12972340, 13039000, 13133983, 13479873, 13367799,
>> ??? 13335395, 13464771, 13363329, 13442441, 13465088, 13511336,
>> ??? 13442888, 13465232, 13516739, 13526653, 13589859, 13734948,
>> ??? 13860252, 13684437, 13849354, 13682966, 13668438, 13655828,
>> ??? 13580493, 13625938, 13664902, 13702841, 13755498, 13686368,
>> ??? 13734294, 13844170, 13949851, 13820642, 14051575, 13898439,
>> ??? 14174606, 14358699, 14312287, 14272243, 14209392, 14249460,
>> ??? 14227780, 14452281, 14308973, 14748479, 14743171, 15010368,
>> ??? 15069059, 15070431, 15195531, 15255816, 15183239, 15205394,
>> ??? 14647813, 14945576, 15334757, 15374511, 15592985, 15798994,
>> ??? 15891823, 15968627, 15951432, 15952705, 16254637, 16221005,
>> ??? 16501660, 16685866, 16457644, 16452841, 16389104, 16572296,
>> ??? 16682913, 16647074, 16870723, 17044004, 17229456, 17351957,
>> ??? 17620979, 17602540, 17854654, 18075746, 17997156, 17852577,
>> ??? 18009088, 18068445, 18089431, 18415992, 18478794, 18252180,
>> ??? 18447029, 18476603, 18431675, 18001966, 18923864, 19072002,
>> ??? 19036564, 19125896, 19252974, 19388570, 18913792, 18775702,
>> ??? 18549987, 18866029, 19106589, 19318267, 19393034, 19381921,
>> ??? 19635452), v52368043 = c(17055707, 16701281, 16786260, 16756166,
>> ??? 16426263, 17318876, 17415322, 17417988, 17467072, 16667843,
>> ??? 16809604, 16838837, 17656245, 17760898, 17801874, 18105941,
>> ??? 18478672, 17862917, 18431580, 18835012, 18673362, 18981674,
>> ??? 19288359, 18532630, 19026893, 19180319, 18826048, 18486116,
>> ??? 18089625, 18443518, 18602047, 16896308, 18860395, 18915620,
>> ??? 19204737, 19105493, 19057133, 19208788, 19480899, 19674690,
>> ??? 19944916, 20191003, 19112930, 19976985, 19988078, 19908461,
>> ??? 19984769, 20052585, 20174329, 20282393, 19971041, 20011153,
>> ??? 20118897, 20384291, 19394115, 20528811, 20747769, 21226830,
>> ??? 20889921, 20835911, 21174421, 21127491, 21115706, 21262173,
>> ??? 21259669, 20762658, 20924455, 21128838, 20983747, 20702448,
>> ??? 20902061, 22345557, 21606059, 22455072, 22565907, 22270902,
>> ??? 22234914, 21980827, 21847268, 21946181, 21747434, 22088155,
>> ??? 22182948, 21347892, 21621099, 21430878, 21369303, 21760587,
>> ??? 22460331, 22607535, 23038099, 22220849, 22449645, 21821231,
>> ??? 21527176, 21186532, 19338429, 19597253, 19884704, 19771201,
>> ??? 20036009, 20304254, 21454669, 21050550, 21284980, 21705066,
>> ??? 22639281, 22690758, 22232400, 22063785, 21935778, 22036533,
>> ??? 22056549, 22257846, 21838250, 22219803, 22420845, 22433192,
>> ??? 22470460, 22707910, 23223292, 22951308, 23074595, 23073830,
>> ??? 23064664, 22851575, 23617734, 23483236, 23583258, 23634482,
>> ??? 23437658, 23930976, 23919897, 24166465, 24493107, 24053481,
>> ??? 23681436, 24261439, 23776686, 23773759, 23555273, 23586467,
>> ??? 24004817, 23802877, 23706412, 23500283, 23937931, 23774129,
>> ??? 23950854, 23426495, 23813338, 24075179, 24192801, 24430720,
>> ??? 24673059, 24276619, 24149635, 25049048, 24676187, 24825428,
>> ??? 25678929, 25704834, 25639134, 26020843, 26609736, 26171747,
>> ??? 25832302, 27524063, 25919116, 26045163, 26524824, 27370490,
>> ??? 27221566, 27327466, 27786373, 27642938, 27539806, 27574631,
>> ??? 28242316, 29454873, 29076991, 28757458, 28179964, 28507837,
>> ??? 28785755, 29279475, 29506538, 29536098, 29652113, 29854882,
>> ??? 29339135, 29688228, 30665282, 30467501, 30692879, 31064467,
>> ??? 31001099, 31230693, 31505904, 31660230, 31558092, 31645834,
>> ??? 32469843, 32170840, 32023093, 31736921, 32477853, 32189881,
>> ??? 31808769, 32214965, 32187342, 32060514, 31894538, 32692963,
>> ??? 32169342, 32134043, 32349968, 32960842, 32835304, 33065854,
>> ??? 32796030, 32840886, 33870331), v54027371 = c(5006719, 5067172,
>> ??? 5060865, 5062576, 5083254, 5072377, 5031234, 5052979, 5027204,
>> ??? 5043632, 5035454, 5044842, 5063238, 5093024, 5091640, 5102054,
>> ??? 5133352, 5142226, 5165655, 5203037, 5186307, 5174704, 5194163,
>> ??? 5190310, 5232432, 5210572, 5234726, 5235080, 5254050, 5245134,
>> ??? 5245175, 5249094, 5235952, 5262268, 5263595, 5253813, 5274263,
>> ??? 5265423, 5299891, 5327379, 5316191, 5331555, 5346574, 5307140,
>> ??? 5337742, 5347287, 5348381, 5377210, 5374212, 5383470, 5366697,
>> ??? 5392882, 5388985, 5416367, 5417477, 5433010, 5448853, 5441429,
>> ??? 5458425, 5471520, 5489243, 5495727, 5511121, 5512216, 5526438,
>> ??? 5537303, 5522426, 5518461, 5536277, 5501749, 5564018, 5570599,
>> ??? 5584461, 5593844, 5590604, 5602700, 5608632, 5616521, 5608951,
>> ??? 5623657, 5616005, 5645595, 5647305, 5647451, 5693895, 5691488,
>> ??? 5700220, 5707445, 5725799, 5728509, 5717031, 5723853, 5711995,
>> ??? 5719339, 5681740, 5663311, 5643435, 5611268, 5590716, 5570704,
>> ??? 5557739, 5536962, 5560436, 5529977, 5551949, 5574728, 5563493,
>> ??? 5575590, 5577965, 5587020, 5596086, 5612563, 5609016, 5626466,
>> ??? 5654424, 5633372, 5661574, 5667386, 5669274, 5689694, 5681104,
>> ??? 5701730, 5706973, 5707289, 5692449, 5724435, 5730464, 5731650,
>> ??? 5750310, 5739110, 5745413, 5742657, 5748606, 5744911, 5767140,
>> ??? 5785313, 5808618, 5816135, 5806957, 5825860, 5814678, 5800046,
>> ??? 5822757, 5809772, 5808239, 5818814, 5833898, 5829771, 5825801,
>> ??? 5833676, 5847351, 5886288, 5872335, 5876134, 5878844, 5883709,
>> ??? 5891947, 5885232, 5889681, 5891564, 5921837, 5931270, 5952834,
>> ??? 5959543, 5957751, 5970395, 5962589, 5958983, 5996099, 5997162,
>> ??? 5997791, 6025616, 6046802, 6043966, 6072665, 6063075, 6065666,
>> ??? 6115610, 6091893, 6118988, 6119637, 6126261, 6136886, 6169330,
>> ??? 6172147, 6198848, 6202387, 6197097, 6228521, 6219420, 6240999,
>> ??? 6266000, 6254684, 6277414, 6289899, 6290412, 6302735, 6343442,
>> ??? 6341087, 6359345, 6383177, 6364995, 6373585, 6394318, 6396556,
>> ??? 6406482, 6430135, 6428086, 6458862, 6470913, 6480563, 6509009,
>> ??? 6514678, 6545545, 6547838, 6538390, 6566127, 6566755, 6578311,
>> ??? 6586796, 6596265, 6592137, 6621773), v54027372 = c(698.62,
>> ??? 692.1, 695.87, 692.13, 690.73, 695.22, 696.41, 695.69, 699.31,
>> ??? 697.67, 701.01, 698.38, 698.51, 697.03, 704.24, 709.05, 708.58,
>> ??? 709.21, 716.46, 712.37, 715.7, 719.6, 720.31, 722.96, 716.06,
>> ??? 724.73, 720.79, 721.51, 722.85, 728.82, 727, 734.71, 736.25,
>> ??? 736.27, 737.61, 737.25, 744.83, 742.92, 744.9, 746.98, 752.13,
>> ??? 745.86, 750.15, 750.31, 744.13, 750.81, 755.16, 759.22, 763.57,
>> ??? 770.53, 764.34, 770.7, 773.6, 777.54, 775.18, 780.65, 789.71,
>> ??? 784.48, 782.33, 782.15, 783.23, 781.14, 783.74, 782.76, 783.53,
>> ??? 781.87, 787.48, 790.22, 794.1, 796.77, 793.41, 806.6, 806.36,
>> ??? 802.21, 813.11, 814.56, 817.25, 824.93, 824.76, 821.27, 821.08,
>> ??? 823.78, 831.6, 828.09, 828.79, 835.7, 833.64, 835.26, 838.09,
>> ??? 840.33, 838.09, 840.35, 839.84, 846.35, 846.62, 836.65, 840.76,
>> ??? 843.8, 846.48, 847.11, 843.82, 843.64, 844.55, 848.04, 853.68,
>> ??? 852.59, 856.16, 864.11, 864.09, 873.24, 870.03, 872.13, 873.52,
>> ??? 875.68, 883.39, 888.95, 902.33, 886.78, 891.69, 893.37, 897.82,
>> ??? 894.44, 896.07, 890.68, 893.01, 889.93, 887.63, 889.08, 888.93,
>> ??? 901.95, 894.42, 897.03, 898.32, 892.12, 895.8, 904.11, 902.56,
>> ??? 909.48, 912.62, 909.97, 911.16, 911.32, 911.6, 913.03, 911.93,
>> ??? 913.79, 916.13, 913.46, 921.64, 919.21, 916.77, 924.35, 920.2,
>> ??? 924, 930.44, 926.46, 930.9, 933.12, 928.53, 933.05, 938.36,
>> ??? 938.25, 945.34, 943.02, 944.16, 942.02, 939.85, 940.82, 950.06,
>> ??? 956.56, 962.54, 963.78, 955.99, 960.3, 972.32, 959.15, 966.48,
>> ??? 968.39, 967.04, 969.76, 962.76, 964.22, 969.64, 969.64, 974.42,
>> ??? 978.96, 975.58, 979.4, 970.39, 973.89, 976.8, 987.21, 985.7,
>> ??? 982.39, 982.7, 987.22, 987.37, 986.88, 984.19, 992.24, 1002.93,
>> ??? 1000.22, 1006.93, 1008.81, 1010.78, 1015.52, 1014.01, 1012.58,
>> ??? 1015.28, 1019.15, 1017.74, 1025.74, 1027.27, 1031.26, 1034.06,
>> ??? 1031.76, 1027.91, 1028.6, 1037.3, 1040.28, 1051.1, 1038.39,
>> ??? 1049.13), v54027376 = c(32.3, 32.2, 32.2, 32.1, 31.8, 31.6,
>> ??? 31.5, 31.3, 31.3, 31.4, 31.3, 31.2, 31.2, 31, 31.3, 31.3,
>> ??? 31.3, 31.3, 31.5, 31.4, 31.3, 31.4, 31.4, 31.4, 31.4, 31.5,
>> ??? 31.2, 31.3, 31.5, 31.4, 31.4, 31.5, 31.6, 31.6, 31.5, 31.5,
>> ??? 31.8, 31.7, 31.8, 31.8, 31.6, 31.6, 31.6, 31.5, 31.5, 31.5,
>> ??? 31.5, 31.5, 31.3, 31.4, 31.4, 31.3, 31.4, 31.4, 31.3, 31.5,
>> ??? 31.5, 31.4, 31.5, 31.4, 31.4, 31.4, 31.4, 31.3, 31.4, 31.2,
>> ??? 31.3, 31, 31.1, 31, 31.2, 31.3, 31.2, 30.9, 30.9, 31.1, 30.8,
>> ??? 30.8, 30.7, 30.8, 30.6, 30.7, 30.8, 30.8, 30.7, 30.9, 30.6,
>> ??? 30.7, 30.8, 31, 30.9, 30.8, 31, 31.1, 30.8, 30.1, 30.3, 30.4,
>> ??? 30.4, 30.3, 30.3, 30.2, 30.3, 30.4, 30.1, 30.2, 30, 30.1,
>> ??? 30, 30.2, 30.4, 30.6, 30.3, 30.3, 30.5, 30.5, 30.4, 30.3,
>> ??? 30.3, 30.5, 30.5, 30.5, 30.5, 30.2, 30.4, 30.3, 30.3, 30.4,
>> ??? 30.6, 30.6, 30.7, 30.6, 30.5, 30.5, 30.5, 30.7, 30.6, 30.9,
>> ??? 30.6, 30.6, 30.5, 30.6, 30.7, 30.2, 30.4, 30.3, 30.2, 30.2,
>> ??? 30.5, 30, 30.2, 30.4, 30.3, 30.1, 30.1, 30.2, 30.4, 30.4,
>> ??? 30.3, 30, 30, 30.1, 30.2, 30.3, 30, 30.3, 30.2, 30.2, 30.4,
>> ??? 30.2, 30.5, 30.6, 30.5, 30.5, 30.9, 30.2, 30.6, 30.7, 30.4,
>> ??? 30.8, 30.3, 30.5, 30.4, 30.5, 30.3, 30.6, 30.2, 30.1, 30.4,
>> ??? 30, 29.8, 30.2, 30.2, 29.9, 29.7, 29.9, 29.9, 29.8, 29.7,
>> ??? 30.2, 30, 30.3, 30.5, 30.4, 30, 30.3, 30.6, 30.2, 30.4, 30.4,
>> ??? 30.4, 30.2, 29.9, 29.9, 30, 29.5, 29.8, 29.8, 30, 30, 29.7,
>> ??? 29.4, 29.7), v61172 = c(22005, 20776, 22513, 21920, 22802,
>> ??? 22362, 23115, 22733, 21398, 22752, 22852, 23176, 22406, 20917,
>> ??? 21902, 21685, 22286, 22379, 22462, 24011, 21938, 23253, 22542,
>> ??? 23390, 22772, 21411, 23059, 21923, 22676, 22603, 22269, 23088,
>> ??? 21739, 22853, 23036, 22761, 24435, 22798, 23316, 22371, 23691,
>> ??? 25848, 26116, 26482, 24657, 25219, 23780, 25027, 23459, 20867,
>> ??? 21815, 21448, 22205, 22734, 21750, 21894, 21129, 22359, 21206,
>> ??? 23018, 21452, 20560, 23331, 22223, 24465, 22765, 23132, 22893,
>> ??? 22497, 24115, 23879, 24696, 23399, 21413, 24268, 23387, 25378,
>> ??? 24807, 23902, 26674, 24842, 27060, 25579, 27140, 25948, 23937,
>> ??? 27291, 26785, 26741, 28014, 26468, 30254, 28078, 31165, 27903,
>> ??? 30406, 28724, 25872, 26674, 28005, 28574, 28116, 27645, 28820,
>> ??? 26915, 29534, 29506, 29755, 25859, 25733, 27848, 27664, 29056,
>> ??? 28913, 27682, 28455, 28286, 28968, 27711, 31211, 26457, 25821,
>> ??? 29790, 28530, 32482, 31544, 32214, 33592, 30870, 34086, 31843,
>> ??? 33502, 32137, 30800, 31770, 30887, 31224, 34883, 31727, 34795,
>> ??? 33329, 37090, 35631, 36927, 36254, 34678, 35695, 34568, 36096,
>> ??? 35285, 36044, 36811, 34141, 35512, 34365, 34675, 34920, 33633,
>> ??? 33938, 35237, 35859, 34650, 34644, 35059, 34299, 35653, 35486,
>> ??? 35769, 36267, 35524, 36736, 36364, 36730, 36261, 37129, 37903,
>> ??? 37136, 38402, 38094, 39260, 39189, 38222, 39043, 38617, 38777,
>> ??? 38777, 38843, 39769, 40365, 40270, 40605, 40847, 40330, 39600,
>> ??? 40629, 40509, 41056, 40898, 40745, 41350, 41735, 41405, 41141,
>> ??? 41662, 40998, 39582, 41728, 42189, 43148, 42427, 42908, 44375,
>> ??? 43402, 44144, 43871, 44696, 44803, 43998, 44419, 45686, 45193,
>> ??? 44981, 46250), v66449943 = c(88.1, 86.1, 86.5, 84.6, 85.7,
>> ??? 85.8, 88.9, 92.4, 90.8, 90.7, 90.5, 91.6, 91.5, 90.8, 91.2,
>> ??? 92.4, 93.4, 91.3, 100.4, 100.8, 96.6, 101.2, 101.1, 96.7,
>> ??? 100.2, 100.1, 98.5, 100.4, 98.7, 97.4, 92.6, 95.2, 93.1,
>> ??? 96.5, 95.9, 96.1, 97.5, 99.1, 104.1, 105.8, 103, 101.9, 95.7,
>> ??? 94.8, 96.7, 95.1, 89.1, 89.1, 86.4, 87.3, 87.6, 86.3, 88.9,
>> ??? 93, 91.8, 95.2, 91.6, 85.2, 81.1, 89.4, 88.1, 86.7, 87.7,
>> ??? 88.4, 89.9, 90.5, 90.2, 91.9, 88.1, 86.3, 91.6, 90.9, 101.2,
>> ??? 101.8, 100.7, 96.8, 92.3, 92.4, 100.2, 103.2, 103.1, 106.6,
>> ??? 104.3, 102.1, 112.8, 113.5, 115.6, 117, 109.8, 111.8, 108.9,
>> ??? 112.9, 112, 117.6, 114.3, 109.5, 111.9, 112.3, 111.8, 113.7,
>> ??? 115.9, 119.9, 117.1, 113.6, 108.6, 105.7, 104.1, 119.6, 115.4,
>> ??? 114.4, 110.6, 109.1, 113.3, 111.8, 111.8, 112.3, 110.8, 110.8,
>> ??? 113.2, 118.3, 121.9, 123.6, 124.4, 126.2, 121.1, 120.4, 124.2,
>> ??? 129.5, 127.2, 124.9, 126.9, 123.5, 125.4, 127.3, 128.3, 126.3,
>> ??? 121, 121.8, 140.2, 142.1, 142.7, 138.8, 133.9, 135.4, 138.3,
>> ??? 142, 141.6, 141.3, 141.5, 142.7, 127.8, 123.3, 124.6, 126.1,
>> ??? 117.6, 119.1, 119.1, 122.9, 127, 130.2, 131.5, 133.5, 130.2,
>> ??? 132.8, 127.7, 116.6, 113.5, 118.9, 122.2, 125.1, 126.2, 126.7,
>> ??? 128, 128.1, 129.3, 129.7, 129, 121.8, 122.4, 127.6, 128.5,
>> ??? 130.3, 131.4, 131.7, 132.6, 135.2, 128, 124.9, 127.1, 130.2,
>> ??? 131.3, 132.8, 133.3, 134.6, 136.8, 135.7, 136, 136, 137.9,
>> ??? 135.8, 133.7, 129.9, 128.5, 128.5, 129.5, 131, 135.8, 136.3,
>> ??? 136.6, 136, 137.2, 137.9, 136, 133.2, 133.4, 134.1, 134.2,
>> ??? 135.5, 135.6, 136.1, 135.1, 136.8, NA), v66449950 = c(94.3,
>> ??? 100.4, 103.6, 103.3, 106.1, 107.5, 105.3, 103.4, 99, 98.8,
>> ??? 98.3, 96.9, 97.5, 102.1, 100.2, 93.9, 95.3, 93.4, 94.9, 95,
>> ??? 89.6, 93, 93.9, 96.3, 95.7, 101.5, 98.7, 100.9, 99.8, 94.2,
>> ??? 86.3, 87.9, 88, 89.7, 90.3, 89.3, 89.4, 91.8, 93.5, 92.7,
>> ??? 96, 97, 96.8, 95.5, 95.1, 92.4, 91.5, 94.9, 96.6, 102.1,
>> ??? 97.1, 97.9, 98, 94.8, 96.6, 95.8, 97.2, 99.4, 97.8, 97.8,
>> ??? 97, 96.8, 96.7, 97.7, 98.3, 98.7, 100, 99.1, 100.6, 96.8,
>> ??? 97.4, 97.8, 96.9, 102.8, 104.2, 103.4, 106.5, 104.1, 102.3,
>> ??? 102.3, 98, 95.6, 92.3, 95, 92.6, 97.3, 96.2, 94.6, 103.8,
>> ??? 103.7, 104.4, 110, 109, 106.5, 107.2, 107.9, 105, 107, 107.5,
>> ??? 106, 107.8, 102.7, 102, 98.4, 98.7, 96.7, 99.2, 101.7, 102.7,
>> ??? 104.8, 105, 104.7, 107.7, 105.7, 105.3, 106.7, 108.2, 105.3,
>> ??? 104.1, 107.5, 110, 112.8, 115.2, 118.5, 116.6, 115.9, 116.4,
>> ??? 119.1, 118.7, 122.6, 121.7, 122.3, 120.5, 121.5, 118.2, 117.2,
>> ??? 115.5, 118.3, 116.3, 116.5, 112.3, 117.1, 120.4, 120.3, 117.4,
>> ??? 120.7, 118.9, 117.8, 121.6, 123.6, 123.8, 125, 124.6, 124.8,
>> ??? 123.8, 124.1, 124, 128, 136.2, 141.6, 137.5, 138.2, 142,
>> ??? 140.3, 134.6, 140.3, 140.2, 139.4, 136.9, 137, 134.8, 136.4,
>> ??? 136.2, 135.3, 132.9, 133.8, 134.8, 131.8, 130.5, 125.7, 128.4,
>> ??? 130.2, 129.9, 124, 127.5, 128.9, 127.1, 123.8, 123.8, 121.1,
>> ??? 118.8, 122.4, 124.3, 128.3, 130.7, 128.2, 131.7, 133.4, 132.6,
>> ??? 128.4, 121, 121.2, 122.5, 121.7, 123.5, 122.7, 122, 118.6,
>> ??? 120.6, 124, 124.9, 121.4, 118, 124, 123.3, 120, 122.5, 121.1,
>> ??? 122.3, 129.8, 131.4, 127.8, NA), v806086 = c(24241837, 23571783,
>> ??? 24044065, 24286278, 24628066, 24118928, 23617076, 23636633,
>> ??? 23428219, 22676196, 23634652, 23129728, 23460762, 24470816,
>> ??? 24710021, 25047202, 24605685, 24889031, 25374882, 25327868,
>> ??? 25109773, 25083430, 25307028, 24264047, 25218362, 25026529,
>> ??? 25123228, 24770185, 24471279, 23997307, 25100446, 22964008,
>> ??? 24847797, 24677891, 24855666, 24657136, 24257410, 24671333,
>> ??? 25042084, 25294153, 25594879, 25710661, 25392113, 25762642,
>> ??? 25495968, 25594992, 25046371, 24990942, 26049772, 25720141,
>> ??? 24908463, 24706488, 25213097, 24845513, 24526632, 25604879,
>> ??? 25607606, 25775948, 24928252, 25720454, 25230304, 24969882,
>> ??? 24588168, 24950843, 24342432, 24727389, 24207745, 24653546,
>> ??? 24098105, 23526031, 24359382, 25982179, 24579627, 24404161,
>> ??? 25000895, 24807287, 24362175, 23689711, 24144763, 23438032,
>> ??? 23439725, 23516262, 23790262, 21814921, 21887345, 22899655,
>> ??? 22230193, 22324816, 22934833, 23503414, 23954111, 23283045,
>> ??? 22841589, 22386978, 21842554, 19295160, 17419392, 18364375,
>> ??? 17905440, 18108957, 16916442, 17026042, 18751034, 18321591,
>> ??? 19048289, 18784796, 18924599, 19475767, 19573589, 19850904,
>> ??? 19804795, 20157495, 20328658, 20361279, 20061299, 20395027,
>> ??? 20298913, 20737329, 19902428, 20480090, 21614065, 20987752,
>> ??? 20921846, 20374783, 20233473, 20215808, 21174832, 21660830,
>> ??? 21640023, 22114244, 21850029, 22827161, 23011928, 21728327,
>> ??? 22257123, 22937471, 22827906, 22875554, 22170195, 22516726,
>> ??? 22303145, 21675434, 22247002, 21567688, 21860739, 22317023,
>> ??? 22207928, 22332500, 22343634, 22272300, 22054266, 22139544,
>> ??? 22476830, 22475093, 22870618, 22550632, 21973040, 22959343,
>> ??? 23266389, 23188580, 23768769, 23473685, 24108092, 23017700,
>> ??? 23922409, 23820985, 23428273, 23928861, 23165872, 22611064,
>> ??? 23647886, 23309658, 23349645, 23502513, 24672977, 24826679,
>> ??? 24264370, 24314700, 24691695, 24783596, 25965007, 24936109,
>> ??? 24148638, 24551950, 24096124, 24428453, 24656116, 24898703,
>> ??? 25091096, 25097671, 24932606, 25523713, 25877824, 25493931,
>> ??? 25584427, 25434925, 26270738, 25655031, 24154450, 24916780,
>> ??? 24698894, 23950081, 25547953, 25979949, 25162501, 26286322,
>> ??? 26227143, 26106405, 26205893, 26432292, 26910272, 26326292,
>> ??? 26552306, 26781714, 26338911, 26176024, 26466019, 26026198,
>> ??? 26637112, 26198157, 26778716, 26846047, 26409309)), row.names =
>> c(NA,
>> -223L), class = c("tbl_df", "tbl",
"data.frame"))
>>
>> dput() output for dts:
>>
>>
>> structure(list(X1 = c(NA_real_, NA_real_, NA_real_, NA_real_),
>> ??? X2 = c(NA_real_, NA_real_, NA_real_, NA_real_), X3 = c(NA_real_,
>> ??? NA_real_, NA_real_, NA_real_), X4 = c(NA_real_, NA_real_,
>> ??? NA_real_, NA_real_), X5 = c(NA_real_, NA_real_, NA_real_,
>> ??? NA_real_), X6 = c(NA_real_, NA_real_, NA_real_, NA_real_),
>> ??? X7 = c(NA_real_, NA_real_, NA_real_, NA_real_), X8 = c(1,
>> ??? 120, NA, NA), X9 = c(1, 120, NA, NA), X10 = c(NA_real_, NA_real_,
>> ??? NA_real_, NA_real_), X11 = c(NA_real_, NA_real_, NA_real_,
>> ??? NA_real_), X12 = c(NA_real_, NA_real_, NA_real_, NA_real_
>> ??? ), X13 = c(NA, NA, 223, 223), X14 = c(NA_real_, NA_real_,
>> ??? NA_real_, NA_real_), X15 = c(NA_real_, NA_real_, NA_real_,
>> ??? NA_real_), X16 = c(NA_real_, NA_real_, NA_real_, NA_real_
>> ??? ), X17 = c(NA_real_, NA_real_, NA_real_, NA_real_), X18 =
>> c(NA_real_,
>> ??? NA_real_, NA_real_, NA_real_), X19 = c(NA_real_, NA_real_,
>> ??? NA_real_, NA_real_), X20 = c(NA_real_, NA_real_, NA_real_,
>> ??? NA_real_), X21 = c(NA_real_, NA_real_, NA_real_, NA_real_
>> ??? ), X22 = c(NA_real_, NA_real_, NA_real_, NA_real_), X23 =
>> c(NA_real_,
>> ??? NA_real_, NA_real_, NA_real_), X24 = c(NA_real_, NA_real_,
>> ??? NA_real_, NA_real_), X25 = c(NA_real_, NA_real_, NA_real_,
>> ??? NA_real_), X26 = c(NA_real_, NA_real_, NA_real_, NA_real_
>> ??? ), X27 = c(NA_real_, NA_real_, NA_real_, NA_real_), X28 =
>> c(NA_real_,
>> ??? NA_real_, NA_real_, NA_real_), X29 = c(NA_real_, NA_real_,
>> ??? NA_real_, NA_real_), X30 = c(1, 84, NA, NA), X31 = c(NA,
>> ??? NA, 181, 223), X32 = c(NA_real_, NA_real_, NA_real_, NA_real_
>> ??? ), X33 = c(NA_real_, NA_real_, NA_real_, NA_real_), X34 =
>> c(NA_real_,
>> ??? NA_real_, NA_real_, NA_real_), X35 = c(NA_real_, NA_real_,
>> ??? NA_real_, NA_real_), X36 = c(NA_real_, NA_real_, NA_real_,
>> ??? NA_real_), X37 = c(NA_real_, NA_real_, NA_real_, NA_real_
>> ??? ), X38 = c(NA_real_, NA_real_, NA_real_, NA_real_), X39 = c(NA,
>> ??? NA, 223, 223), X40 = c(NA, NA, 223, 223), X41 = c(NA_real_,
>> ??? NA_real_, NA_real_, NA_real_)), row.names = c(NA, -4L), class =
>> "data.frame")
>>
>> dput() output for testcase1:
>>
>> c(NA, NA, NA, 84.6, 85.7, 85.8, 88.9, 92.4, 90.8, 90.7, 90.5,
>> 91.6, 91.5, 90.8, 91.2, 92.4, 93.4, 91.3, 100.4, 100.8, 96.6,
>> 101.2, 101.1, 96.7, 100.2, 100.1, 98.5, 100.4, 98.7, 97.4, 92.6,
>> 95.2, 93.1, 96.5, 95.9, 96.1, 97.5, 99.1, 104.1, 105.8, 103,
>> 101.9, 95.7, 94.8, 96.7, 95.1, 89.1, 89.1, 86.4, 87.3, 87.6,
>> 86.3, 88.9, 93, 91.8, 95.2, 91.6, 85.2, 81.1, 89.4, 88.1, 86.7,
>> 87.7, 88.4, 89.9, 90.5, 90.2, 91.9, 88.1, 86.3, 91.6, 90.9, 101.2,
>> 101.8, 100.7, 96.8, 92.3, 92.4, 100.2, 103.2, 103.1, 106.6, 104.3,
>> 102.1, 112.8, 113.5, 115.6, 117, 109.8, 111.8, 108.9, 112.9,
>> 112, 117.6, 114.3, 109.5, 111.9, 112.3, 111.8, 113.7, 115.9,
>> 119.9, 117.1, 113.6, 108.6, 105.7, 104.1, 119.6, 115.4, 114.4,
>> 110.6, 109.1, 113.3, 111.8, 111.8, 112.3, 110.8, 110.8, 113.2,
>> 118.3, 121.9, 123.6, 124.4, 126.2, 121.1, 120.4, 124.2, 129.5,
>> 127.2, 124.9, 126.9, 123.5, 125.4, 127.3, 128.3, 126.3, 121,
>> 121.8, 140.2, 142.1, 142.7, 138.8, 133.9, 135.4, 138.3, 142,
>> 141.6, 141.3, 141.5, 142.7, 127.8, 123.3, 124.6, 126.1, 117.6,
>> 119.1, 119.1, 122.9, 127, 130.2, 131.5, 133.5, 130.2, 132.8,
>> 127.7, 116.6, 113.5, 118.9, 122.2, 125.1, 126.2, 126.7, 128,
>> 128.1, 129.3, 129.7, 129, 121.8, 122.4, 127.6, 128.5, 130.3,
>> 131.4, 131.7, 132.6, 135.2, 128, 124.9, 127.1, 130.2, 131.3,
>> 132.8, 133.3, 134.6, 136.8, 135.7, 136, 136, 137.9, 135.8, 133.7,
>> 129.9, 128.5, 128.5, 129.5, 131, 135.8, 136.3, 136.6, 136, 137.2,
>> 137.9, 136, 133.2, 133.4, 134.1, 134.2, 135.5, 135.6, 136.1,
>> 135.1, NA, NA)
>>
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>> PLEASE do read the posting guide
>> http://www.R-project.org/posting-guide.html
>> and provide commented, minimal, self-contained, reproducible code.