[R] " Error in firstnonmiss:lastnonmiss : argument of length 0 "

phii m@iii@g oii phiiipsmith@c@ phii m@iii@g oii phiiipsmith@c@
Wed Oct 30 03:05:11 CET 2019


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",
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"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",
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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,
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     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,
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     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,
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     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,
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     12102462, 12172373, 13118089, 12941911, 11778903, 12221484,
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     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,
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     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,
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     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,
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     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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