" Error in firstnonmiss:lastnonmiss : argument of length 0 "

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" Error in firstnonmiss:lastnonmiss : argument of length 0 "

phil-3
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,
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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,
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19984134, 17515960, 17735035, 18639461, 19708496, 20218572, 20881111,
20967845, 20246946, 20205727, 20951905, 23040393, 21107926, 18556973,
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20935541, 20476625, 19111285, 18591785, 18648376, 22572654, 20878866,
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21004135, 22349893, 20779032, 22622782, 22804069, 19504385, 20109262,
20720256, 22697357, 23405692, 23330003, 22617671, 21538128, 23130117,
22943596, 24431094, 23449486, 21320812, 20897790, 21679882, 25197042,
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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,
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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,
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     10645290, 10737670, 10887666, 10937108, 11132192, 10931217,
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     11397097, 11326044, 11304720, 11399814, 11421142, 11492582,
     11649949, 11524634, 11642228, 11686280, 11599854, 11634717,
     11884843, 11829986, 11677538, 11713733, 11776782, 11976272,
     11770553, 11952997, 12037744, 12132233, 12294168, 12192129,
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     12764803, 12552916, 12608853, 12795617, 12750516, 12876709,
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     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,
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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,
     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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Re: " Error in firstnonmiss:lastnonmiss : argument of length 0 "

Rui Barradas
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

Às 02:05 de 30/10/19, [hidden email] 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,
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> 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)
>
> ______________________________________________
> [hidden email] 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.

______________________________________________
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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.
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Re: " Error in firstnonmiss:lastnonmiss : argument of length 0 "

phil-3
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
>
> Às 02:05 de 30/10/19, [hidden email] 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)
>>
>> ______________________________________________
>> [hidden email] 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.

______________________________________________
[hidden email] mailing list -- To UNSUBSCRIBE and more, see
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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.

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Re: " Error in firstnonmiss:lastnonmiss : argument of length 0 "

R help mailing list-2
Your EXTEND() function appears to expect that its 'x' argument will be a
numeric vector, but you pass it a one-column tibble.  Hence length(x) is 1
and things go downhill from there.

I like to start such functions with a long stopifnot() statement that does
a quick check of inputs.  E.g.,

stopifnot(is.numeric(x), NCOL(x)==1, length(x)>dt2)

Use vseries1[,j,drop=TRUE] or vseries1[[j]] to extract a single column from
the tibble 'vseries1'.  vseries1[,1] will return a one-column tibble.

Bill Dunlap
TIBCO Software
wdunlap tibco.com


On Wed, Oct 30, 2019 at 5:25 AM <[hidden email]> wrote:

> 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
> >
> > Às 02:05 de 30/10/19, [hidden email] 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)
> >>
> >> ______________________________________________
> >> [hidden email] 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.
>
> ______________________________________________
> [hidden email] 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.
>
>

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______________________________________________
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
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Re: " Error in firstnonmiss:lastnonmiss : argument of length 0 "

Rui Barradas
Hello,

Another option that prevents

length(x) == 1

is to use NROW(x) instead of length(x).

Hope this helps,

Rui Barradas

Às 16:58 de 30/10/19, William Dunlap escreveu:

> Your EXTEND() function appears to expect that its 'x' argument will be a
> numeric vector, but you pass it a one-column tibble.  Hence length(x) is
> 1 and things go downhill from there.
>
> I like to start such functions with a long stopifnot() statement that
> does a quick check of inputs.  E.g.,
>
> stopifnot(is.numeric(x), NCOL(x)==1, length(x)>dt2)
>
> Use vseries1[,j,drop=TRUE] or vseries1[[j]] to extract a single column
> from the tibble 'vseries1'.  vseries1[,1] will return a one-column tibble.
>
> Bill Dunlap
> TIBCO Software
> wdunlap tibco.com <http://tibco.com>
>
>
> On Wed, Oct 30, 2019 at 5:25 AM <[hidden email]
> <mailto:[hidden email]>> wrote:
>
>     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 <http://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 <http://is.na>(dts[1,j-1])) & (!is.na
>     <http://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
>      >
>      > Às 02:05 de 30/10/19, [hidden email]
>     <mailto:[hidden email]> 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 <http://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 <http://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$REF_DATE)]))
>      >> View(cbind(testcase1,testcase1_extended))
>      >> # Now use EXTEND to fill in the missing values in all 41
>     indicators in
>      >> vseries
>      >> # Data frame dts has NAs where no extension is required, integer
>      >> values showing where to start and
>      >> # where to end when extensions are required. Store extended
>     series in
>      >> vseries1.
>      >> vseries1 <- vseries
>      >> for (j in 2:(ncol(vseries))) { # j starts at 2 because column 1 in
>      >> vseries is REF_DATE
>      >>    if ( (!is.na <http://is.na>(dts[1,j-1])) | (!is.na
>     <http://is.na>(dts[3,j-1])) ) {
>      >>      vseries1[,j] <-
>      >>
>     EXTEND(vseries[,j],vseries$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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>      >> http://www.R-project.org/posting-guide.html
>      >> and provide commented, minimal, self-contained, reproducible code.
>
>     ______________________________________________
>     [hidden email] <mailto:[hidden email]> mailing list --
>     To UNSUBSCRIBE and more, see
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>     and provide commented, minimal, self-contained, reproducible code.
>

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Re: " Error in firstnonmiss:lastnonmiss : argument of length 0 "

R help mailing list-2
Using NROW(x) instead of length(x) is fine, but it won't fix the problem
that this function won't work if given a tibble.  E.g., for a tibble t,
rev(t) is identical to t.

     revx <- ts(rev(x),frequency=12)
     revx <- revx[1:(NRngt$(revx)-dt2)]
     fc <- forecast(auto.arima(revx),bfct)

Bill Dunlap
TIBCO Software
wdunlap tibco.com


On Wed, Oct 30, 2019 at 10:31 AM Rui Barradas <[hidden email]> wrote:

> Hello,
>
> Another option that prevents
>
> length(x) == 1
>
> is to use NROW(x) instead of length(x).
>
> Hope this helps,
>
> Rui Barradas
>
> Às 16:58 de 30/10/19, William Dunlap escreveu:
> > Your EXTEND() function appears to expect that its 'x' argument will be a
> > numeric vector, but you pass it a one-column tibble.  Hence length(x) is
> > 1 and things go downhill from there.
> >
> > I like to start such functions with a long stopifnot() statement that
> > does a quick check of inputs.  E.g.,
> >
> > stopifnot(is.numeric(x), NCOL(x)==1, length(x)>dt2)
> >
> > Use vseries1[,j,drop=TRUE] or vseries1[[j]] to extract a single column
> > from the tibble 'vseries1'.  vseries1[,1] will return a one-column
> tibble.
> >
> > Bill Dunlap
> > TIBCO Software
> > wdunlap tibco.com <http://tibco.com>
> >
> >
> > On Wed, Oct 30, 2019 at 5:25 AM <[hidden email]
> > <mailto:[hidden email]>> wrote:
> >
> >     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 <http://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 <http://is.na>(dts[1,j-1])) & (!is.na
> >     <http://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
> >      >
> >      > Às 02:05 de 30/10/19, [hidden email]
> >     <mailto:[hidden email]> 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 <http://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 <http://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$REF_DATE)]))
> >      >> View(cbind(testcase1,testcase1_extended))
> >      >> # Now use EXTEND to fill in the missing values in all 41
> >     indicators in
> >      >> vseries
> >      >> # Data frame dts has NAs where no extension is required, integer
> >      >> values showing where to start and
> >      >> # where to end when extensions are required. Store extended
> >     series in
> >      >> vseries1.
> >      >> vseries1 <- vseries
> >      >> for (j in 2:(ncol(vseries))) { # j starts at 2 because column 1
> in
> >      >> vseries is REF_DATE
> >      >>    if ( (!is.na <http://is.na>(dts[1,j-1])) | (!is.na
> >     <http://is.na>(dts[3,j-1])) ) {
> >      >>      vseries1[,j] <-
> >      >>
> >
>  EXTEND(vseries[,j],vseries$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)
> >      >>
> >      >> ______________________________________________
> >      >> [hidden email] <mailto:[hidden email]> 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.
> >
> >     ______________________________________________
> >     [hidden email] <mailto:[hidden email]> mailing list --
> >     To UNSUBSCRIBE and more, see
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> >     and provide commented, minimal, self-contained, reproducible code.
> >
>

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Re: " Error in firstnonmiss:lastnonmiss : argument of length 0 "

phil-3
In reply to this post by R help mailing list-2
Thanks for your suggestions. I have tried them all, with no success.

William's looked quite promising. I put in the
stopifnot(is.numeric(x), NCOL(x)==1, length(x)>dt2)
statement and it detected the problem:
length(x) > dt2 is not TRUE
Then I changed all the references to vseries to the [[j]]
notation:
vseries[,j] became vseries[[j]] and
vseries$REF_DATE became vseries[[1]]
But I still got the same error statement from stopifnot:
length(x) > dt2 is not TRUE

I am quite at a loss on this one. Any other suggestions? Maybe I should
just take a completely different approach of some kind?

Philip

On 2019-10-30 12:58, William Dunlap wrote:

> Your EXTEND() function appears to expect that its 'x' argument will be
> a numeric vector, but you pass it a one-column tibble.  Hence
> length(x) is 1 and things go downhill from there.
>
> I like to start such functions with a long stopifnot() statement that
> does a quick check of inputs.  E.g.,
>
> stopifnot(is.numeric(x), NCOL(x)==1, length(x)>dt2)
>
> Use vseries1[,j,drop=TRUE] or vseries1[[j]] to extract a single column
> from the tibble 'vseries1'.  vseries1[,1] will return a one-column
> tibble.
>
> Bill Dunlap
> TIBCO Software
> wdunlap tibco.com [2]
>
> On Wed, Oct 30, 2019 at 5:25 AM <[hidden email]> wrote:
>
>> 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 [1](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 [1](dts[1,j-1])) & (!is.na [1](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
>>>
>>> Às 02:05 de 30/10/19, [hidden email] 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 [1](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 [1](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$REF_DATE)]))
>>>> View(cbind(testcase1,testcase1_extended))
>>>> # Now use EXTEND to fill in the missing values in all 41
>> indicators in
>>>> vseries
>>>> # Data frame dts has NAs where no extension is required, integer
>>>> values showing where to start and
>>>> # where to end when extensions are required. Store extended
>> series in
>>>> vseries1.
>>>> vseries1 <- vseries
>>>> for (j in 2:(ncol(vseries))) { # j starts at 2 because column 1
>> in
>>>> vseries is REF_DATE
>>>> if ( (!is.na [1](dts[1,j-1])) | (!is.na [1](dts[3,j-1])) ) {
>>>> vseries1[,j] <-
>>>>
>>
> EXTEND(vseries[,j],vseries$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)
>>>>
>>>> ______________________________________________
>>>> [hidden email] 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.
>>
>> ______________________________________________
>> [hidden email] 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.
>
>
> Links:
> ------
> [1] http://is.na
> [2] http://tibco.com

______________________________________________
[hidden email] mailing list -- To UNSUBSCRIBE and more, see
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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.

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Re: " Error in firstnonmiss:lastnonmiss : argument of length 0 "

R help mailing list-2
The length(x)>dt2 requirement is not quite right - it is only required for
one branch of your if statement.  Figure out the assumptions for each
branch of the code and put stopifnot calls in each branch.  Or leave them
out and debug later.

Bill Dunlap
TIBCO Software
wdunlap tibco.com


On Wed, Oct 30, 2019 at 5:13 PM <[hidden email]> wrote:

> Thanks for your suggestions. I have tried them all, with no success.
>
> William's looked quite promising. I put in the
> stopifnot(is.numeric(x), NCOL(x)==1, length(x)>dt2)
> statement and it detected the problem:
> length(x) > dt2 is not TRUE
> Then I changed all the references to vseries to the [[j]]
> notation:
> vseries[,j] became vseries[[j]] and
> vseries$REF_DATE became vseries[[1]]
> But I still got the same error statement from stopifnot:
> length(x) > dt2 is not TRUE
>
> I am quite at a loss on this one. Any other suggestions? Maybe I should
> just take a completely different approach of some kind?
>
> Philip
>
> On 2019-10-30 12:58, William Dunlap wrote:
> > Your EXTEND() function appears to expect that its 'x' argument will be
> > a numeric vector, but you pass it a one-column tibble.  Hence
> > length(x) is 1 and things go downhill from there.
> >
> > I like to start such functions with a long stopifnot() statement that
> > does a quick check of inputs.  E.g.,
> >
> > stopifnot(is.numeric(x), NCOL(x)==1, length(x)>dt2)
> >
> > Use vseries1[,j,drop=TRUE] or vseries1[[j]] to extract a single column
> > from the tibble 'vseries1'.  vseries1[,1] will return a one-column
> > tibble.
> >
> > Bill Dunlap
> > TIBCO Software
> > wdunlap tibco.com [2]
> >
> > On Wed, Oct 30, 2019 at 5:25 AM <[hidden email]> wrote:
> >
> >> 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 [1](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 [1](dts[1,j-1])) & (!is.na [1](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
> >>>
> >>> Às 02:05 de 30/10/19, [hidden email] 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 [1](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$mean)
> >>>> m <- month(as.POSIXlt(first_date,format="%Y-%m-%d"))
> >>>> y <- year(as.POSIXlt(first_date,format="%Y-%m-%d"))
> >>>> x <- as.numeric(ts(rev(revx1),start=c(y,m),frequency=12))
> >>>> }
> >>>> if (!is.na [1](dt3)) {
> >>>> ffct <- dt4-dt3+1 # number of months to forecast
> >>>> x <- x[1:(dt3-1)]
> >>>> fc <- forecast(auto.arima(x),ffct)
> >>>> x <- c(x,fc$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 [1](dts[1,j-1])) | (!is.na [1](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,
> >> 1622