TP 2 R

TP2

Exercise 1

From past experience, it is known that a certain surgery has a 90% chance to succeed. This surgery is going to be performed on 5 patients. Let X be the random variable equal to the number of successes out of the 5 attempts.

Which probability distribution do you propose as a model for X? What are the values? What are the probabilities of the different values? What is their sum?

# we propose bernouli distribution with parameter p==0.9 it is the chance of succes of this surgerry ? value taking by X can be 0 or 1 . 1 have 0.9 pb and 0 have 0.1 pb of succes
# sum of probability is obvously 1

Compute the theoretical mean, variance, standard-deviation, median, first and third quartiles of that distribution. Why are the median and third quartile both equal to 5?

p=0.90 # proba de reusite
n=5 # reperition de l opération
mean=n*p ; mean

## [1] 4.5

variance= n*p*(1-p) ; variance

## [1] 0.45

sd= sqrt(variance) ; sd

## [1] 0.6708204

median=qbinom(0.5, n, p) ; median

## [1] 5

qbinom(0.25, n, p)

## [1] 4

qbinom(0.75, n, p)

## [1] 5

x=0:5
proba=pbinom(x,n,p)
barplot(proba, names.arg = x, xlab = "Nombre de succès", ylab = "Probabilité",  main = "Probabilités Cumulées Croissantes", ylim = c(0, 1))
abline(h = 0.50)

# la median est egal au 3 ieme quartil car les valeurs ici sont discrète et qu'il y en a peu. la valeur de la médinae egal la valeur de du 3 ieme quartil sont proche car p est tres éléves ce qui donne des tirages avec peu de variabilité, p est proche de 1 donc on n'est presque sur que sur les 5 essaie ils seront tous des reussites. la probablité culumé croissante associé a 4 réussite et 1 echec est inferieur a 50% donc bien sur le reste de la distribution de probabilité est associé à 5 ( dernièere valeur )réussite, on retrouve donc la médiane et le 3 ieme quartil associé à cette valeur

What is the probability that each of the 5 surgeries will be successful? 3 of the 5 will be successful ? at most 3 surgeries will be successful? at least 3 will be successful? from 2 to 4 will be successful?

print("hat is the probability that each of the 5 surgeries will be successful? 3 of the 5 will be successful ?")

## [1] "hat is the probability that each of the 5 surgeries will be successful? 3 of the 5 will be successful ?"

dbinom(5,n , p)

## [1] 0.59049

dbinom(3,n , p)

## [1] 0.0729

print('at most 3 surgeries will be successful? at least 3 will be successful? from 2 to 4 will be successful?')

## [1] "at most 3 surgeries will be successful? at least 3 will be successful? from 2 to 4 will be successful?"

pbinom(3, n, p)

## [1] 0.08146

1-pbinom(2,n,p)

## [1] 0.99144

x=2:4;x

## [1] 2 3 4

sum(pbinom(x,n,p))

## [1] 0.49953

Assign to X a simulated sample of size N=100 of the binomial distribution with parameters 5 and 0.9. (rbinom())Compute the relative frequencies of the different values. Compare with the theoretical probabilities. Repeat (several times) for N=1e4, N=1e6.

X=rbinom(100,n,p)
table(X)/100

## X
##    2    3    4    5 
## 0.01 0.08 0.35 0.56

prob_X = table(X) /100

size=1000
Y=rbinom(size, n, p)
probY= table(Y)/size


size2=100000
Z=rbinom(size2, n, p)
probZ=table(Z)/size2


x=0:5 ; x

## [1] 0 1 2 3 4 5

n=5
p=0.90
proba=dbinom(x,n,p) ; proba # problème on a une valuer de 1 pour la valeur 5

## [1] 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049

# pbinome : proba cumulté croissance different de 
# dbinome : proba pr un x particulier


prob_X ; probY ; probZ ;

## X
##    2    3    4    5 
## 0.01 0.08 0.35 0.56

## Y
##     1     2     3     4     5 
## 0.003 0.005 0.088 0.333 0.571

## Z
##       1       2       3       4       5 
## 0.00061 0.00782 0.07311 0.32979 0.58867

#difference prob_X et distribtion theo
dXT=c(0,0,0,0,0,0)
for( i in 1:5) {
  dXT[i]=prob_X[i]-proba[i]
}
dXT

## [1] 0.00999 0.07955 0.34190 0.48710      NA 0.00000

# ke code ne va pas car prob_X n'a que 3 valeur donc ca prends la differences de choses qui ne coresspondent pas mais l'idéé est là
# on remarque que la difference avec la distrubution theorie s'amoindrie lordque que l'on augmement l'echantillonage.

#barplot(prob_X, col = "blue", main = "Comparaison de distributions binomiales", xlab = "Nombre de succès", ylab = "Probabilité", ylim = c(0, 1) , xlim= c(1,2,3,4,5))

#barplot(probY, col = "red", add = TRUE , xlim= c(1,2,3,4,5))

#barplot(probZ, col = "green", add = TRUE, , xlim= c(1,2,3,4,5))

# xvalues=0:n
#all_prob <- c(prob_X, probY, probZ) 
#barplot(matrix(all_prob, nrow = length(xvalues), byrow = TRUE), col = c("blue", "red", "green"),  main = "Comparaison de distributions binomiales",  xlab = "Nombre de succè  ylab = "Probabilité",  ylim = c(0, max(all_prob)), names.arg = xvalues, beside = TRUE)

Assign to X a simulated sample of size N=1e4. Plot the ecdf of X in blue. Superpose the theoretical cumulative probabilities of the binomial distribution withparameters 5 and 0.9 as red points.

p = 0.9  
n = 5    
N = 1e4  

X = rbinom(N, n, p)


ecdf_X = ecdf(X)


plot(ecdf_X, col = "blue", main = "Empirical vs Theoretical Cumulative Distribution", xlab = "X", ylab = "Cumulative Probability")


x_values = 0:n
theoretical_prob = pbinom(x_values, n, p)

# Superpose theoretical cumulative probabilities as red points
points(x_values, theoretical_prob, col = "red", pch = 19)

# bon il y a un point en trop

Exercise 2

Upload tauber.csv. Assign column height to variable H. How many children in the sample are taller than 110 cm? How many have height 110 or less?

DATA=read.csv( choose.files() , sep=";" , header = TRUE )
# afficher les noms des coloones
names(DATA)

## [1] "gender" "age"    "height" "weight"

# Changer le nom de la colonne "height" en "H"
names(DATA)[names(DATA) == "height"] <- "H"
length(DATA[ DATA$H>110,3])

## [1] 2152

length(DATA[ DATA$H<=110,3])

## [1] 739

Plot cumulated frequencies for the event H>110, with ordinates in the interval (0,1): plot option ylim=c(0,1).

length(DATA$H)

## [1] 2891

length(DATA[DATA$H>110,3])

## [1] 2152

fraCUM= cumsum(DATA[DATA$H>110,3])/sum(DATA$H) ; fraCUM

##    [1] 0.0003438047 0.0006967369 0.0010618392 0.0014299840 0.0017768312
##    [6] 0.0021267209 0.0025161634 0.0028751806 0.0032129003 0.0035688750
##   [11] 0.0039491899 0.0043234198 0.0046641819 0.0050231992 0.0053852590
##   [16] 0.0057321062 0.0060972085 0.0064531832 0.0068000304 0.0071499201
##   [21] 0.0074906823 0.0078405720 0.0082087168 0.0085494790 0.0088871986
##   [26] 0.0092523009 0.0096234882 0.0099733780 0.0103232677 0.0106670723
##   [31] 0.0110260896 0.0113881494 0.0117410816 0.0120879288 0.0124621587
##   [36] 0.0128181334 0.0131588956 0.0135300829 0.0138708451 0.0142116072
##   [41] 0.0145554119 0.0148961740 0.0152369362 0.0155776983 0.0159397581
##   [46] 0.0162805203 0.0166486651 0.0169955123 0.0173454020 0.0177013767
##   [51] 0.0180390964 0.0184148475 0.0187586522 0.0190978931 0.0194538678
##   [56] 0.0197976725 0.0201353921 0.0204761543 0.0208321290 0.0211789762
##   [61] 0.0215166958 0.0218559367 0.0221936563 0.0225359398 0.0228949570
##   [66] 0.0232418042 0.0235825664 0.0239324561 0.0242686544 0.0246124591
##   [71] 0.0249562638 0.0252939834 0.0256438731 0.0259937628 0.0263345250
##   [76] 0.0267178824 0.0270753784 0.0274511295 0.0277979767 0.0281509090
##   [81] 0.0284901498 0.0288369970 0.0291777592 0.0295489465 0.0298957937
##   [86] 0.0302593748 0.0305955731 0.0309393778 0.0312831825 0.0316269871
##   [91] 0.0319738343 0.0323602343 0.0327070815 0.0330706625 0.0334266373
##   [96] 0.0337704419 0.0341081616 0.0344717426 0.0348307599 0.0351745645
##  [101] 0.0355122842 0.0358621739 0.0361998935 0.0365710809 0.0369148855
##  [106] 0.0372602115 0.0376222712 0.0379691184 0.0383068381 0.0386658553
##  [111] 0.0390157450 0.0393869324 0.0397368221 0.0400730205 0.0404229102
##  [116] 0.0407636723 0.0411120408 0.0414680155 0.0418102989 0.0421693162
##  [121] 0.0425070358 0.0428569255 0.0432083365 0.0435460561 0.0438868183
##  [126] 0.0442306230 0.0445805127 0.0449212748 0.0452802921 0.0456286605
##  [131] 0.0459663802 0.0463025785 0.0466646383 0.0470388682 0.0473857154
##  [136] 0.0477705941 0.0481341751 0.0484779798 0.0488217844 0.0491944930
##  [141] 0.0495535103 0.0499018788 0.0502472047 0.0505940519 0.0509485054
##  [146] 0.0513075226 0.0516634974 0.0520209934 0.0523617555 0.0527177303
##  [151] 0.0530615350 0.0534068609 0.0537461018 0.0540975127 0.0544595725
##  [156] 0.0548551000 0.0552110748 0.0555609645 0.0559306306 0.0562713927
##  [161] 0.0566228037 0.0569955123 0.0573530083 0.0577150681 0.0580588727
##  [166] 0.0584239751 0.0587753860 0.0591344033 0.0594736442 0.0598265764
##  [171] 0.0601947212 0.0605385259 0.0609097132 0.0612474329 0.0616034076
##  [176] 0.0619532973 0.0623123146 0.0626530767 0.0630060090 0.0633711113
##  [181] 0.0637422986 0.0641013159 0.0644846733 0.0648223929 0.0652057504
##  [186] 0.0655693314 0.0659176999 0.0662645470 0.0666053092 0.0669658477
##  [191] 0.0673172587 0.0676777972 0.0680307294 0.0683775766 0.0687213813
##  [196] 0.0690773561 0.0694272458 0.0697877843 0.0701513653 0.0704936487
##  [201] 0.0708298471 0.0711827793 0.0715189777 0.0718658249 0.0722126721
##  [206] 0.0725656043 0.0729124515 0.0732684263 0.0736213585 0.0739651632
##  [211] 0.0743211379 0.0746831977 0.0750330874 0.0753951472 0.0757602495
##  [216] 0.0761040542 0.0764721990 0.0768160037 0.0771719784 0.0775157831
##  [221] 0.0778839279 0.0782399026 0.0785806648 0.0789427246 0.0792804442
##  [226] 0.0796303339 0.0799923937 0.0803666236 0.0807256408 0.0810998707
##  [231] 0.0814497604 0.0818087777 0.0821556249 0.0825298547 0.0828858295
##  [236] 0.0832418042 0.0835825664 0.0839202860 0.0842671332 0.0846139804
##  [241] 0.0849517000 0.0853015897 0.0856423519 0.0859815928 0.0863314825
##  [246] 0.0866996273 0.0870586446 0.0874054917 0.0877675515 0.0881478664
##  [251] 0.0885038412 0.0888415608 0.0891960143 0.0895519890 0.0898912299
##  [256] 0.0902304708 0.0905940519 0.0909408991 0.0912953526 0.0916513273
##  [261] 0.0920194721 0.0923617555 0.0927390279 0.0930919601 0.0934418499
##  [266] 0.0938115159 0.0941477143 0.0945189017 0.0948596638 0.0952323724
##  [271] 0.0955792196 0.0959382369 0.0962850840 0.0966471438 0.0969848635
##  [276] 0.0973347532 0.0976846429 0.0980314901 0.0983996349 0.0987601734
##  [281] 0.0991039781 0.0994401765 0.0997961512 0.1001627748 0.1005157070
##  [286] 0.1008853731 0.1012550392 0.1016110139 0.1019487336 0.1023031870
##  [291] 0.1026485130 0.1029953602 0.1033604625 0.1037073097 0.1040663269
##  [296] 0.1044131741 0.1047706701 0.1051266449 0.1054826196 0.1058416369
##  [301] 0.1061945691 0.1065475013 0.1068882635 0.1072685784 0.1076306382
##  [306] 0.1079835704 0.1083273751 0.1087016049 0.1090575797 0.1094013843
##  [311] 0.1097421465 0.1100981212 0.1104388834 0.1108100707 0.1111569179
##  [316] 0.1114976801 0.1118399635 0.1122050658 0.1125564768 0.1129002814
##  [321] 0.1132532137 0.1135970183 0.1139529931 0.1143272229 0.1146710276
##  [326] 0.1150452575 0.1154012322 0.1157450369 0.1160918841 0.1164326462
##  [331] 0.1167703659 0.1171232981 0.1174640602 0.1178291625 0.1182033924
##  [336] 0.1185761010 0.1189122994 0.1192637104 0.1196075150 0.1199589260
##  [341] 0.1203240283 0.1206982582 0.1210511904 0.1214193352 0.1217874800
##  [346] 0.1221343272 0.1224781319 0.1228249791 0.1231748688 0.1235125884
##  [351] 0.1238670419 0.1242214954 0.1245653001 0.1249410512 0.1253046322
##  [356] 0.1256560432 0.1260135392 0.1263558226 0.1267178824 0.1270708146
##  [361] 0.1274176618 0.1277584240 0.1280946223 0.1284323420 0.1287883167
##  [366] 0.1291610253 0.1295261276 0.1298942725 0.1302563322 0.1306092645
##  [371] 0.1309561117 0.1312983951 0.1316421997 0.1319829619 0.1323267666
##  [376] 0.1326705712 0.1330219822 0.1333749144 0.1337156766 0.1340746938
##  [381] 0.1344306686 0.1347744733 0.1351365330 0.1354955503 0.1358545676
##  [386] 0.1362014148 0.1365573895 0.1369027154 0.1372678178 0.1376085799
##  [391] 0.1379767247 0.1383296570 0.1386947593 0.1390568190 0.1394006237
##  [396] 0.1397444284 0.1401247433 0.1404868031 0.1408488629 0.1412109226
##  [401] 0.1415516848 0.1418954895 0.1422651555 0.1426028752 0.1429679775
##  [406] 0.1433148247 0.1436662356 0.1440161254 0.1443538450 0.1447037347
##  [411] 0.1450642732 0.1454187267 0.1457838290 0.1461489313 0.1465201187
##  [416] 0.1468852210 0.1472305469 0.1475758728 0.1479409751 0.1482878223
##  [421] 0.1486468396 0.1490301970 0.1493679166 0.1497330189 0.1500737811
##  [426] 0.1504388834 0.1508009432 0.1511417053 0.1514824675 0.1518414847
##  [431] 0.1521807256 0.1525397429 0.1529002814 0.1532380011 0.1535924546
##  [436] 0.1539453868 0.1543287442 0.1546786339 0.1550285236 0.1553753708
##  [441] 0.1557328668 0.1560842778 0.1564235187 0.1567764509 0.1571248194
##  [446] 0.1574899217 0.1578428539 0.1581942649 0.1585441546 0.1589001293
##  [451] 0.1592469765 0.1595923024 0.1599361071 0.1602829543 0.1606389290
##  [456] 0.1609903400 0.1613311022 0.1616718643 0.1620095839 0.1623625162
##  [461] 0.1627154484 0.1630653381 0.1634106640 0.1637544687 0.1641104434
##  [466] 0.1644633757 0.1648010953 0.1651418575 0.1655221724 0.1658720621
##  [471] 0.1662189093 0.1665748840 0.1669156462 0.1672564083 0.1675926067
##  [476] 0.1679485814 0.1682984711 0.1686574884 0.1690271545 0.1693709592
##  [481] 0.1697071575 0.1700540047 0.1703932456 0.1707400928 0.1710808549
##  [486] 0.1714429147 0.1717958470 0.1721366091 0.1724895413 0.1728424736
##  [491] 0.1732106184 0.1735757207 0.1739210466 0.1742785426 0.1746162623
##  [496] 0.1749631095 0.1753129992 0.1756568038 0.1760021298 0.1763428919
##  [501] 0.1766897391 0.1770365863 0.1774229862 0.1777880885 0.1781501483
##  [506] 0.1784939530 0.1788560128 0.1792074237 0.1795603560 0.1799148095
##  [511] 0.1802768692 0.1806282802 0.1809812124 0.1813295809 0.1816749068
##  [516] 0.1820156690 0.1823564311 0.1826971933 0.1830531680 0.1834000152
##  [521] 0.1837590325 0.1841210923 0.1844618544 0.1848178292 0.1851646764
##  [526] 0.1855236936 0.1858644558 0.1862234730 0.1865596714 0.1869293375
##  [531] 0.1872731422 0.1876352019 0.1879714003 0.1883228113 0.1886727010
##  [536] 0.1890378033 0.1893785655 0.1897467103 0.1900905149 0.1904677873
##  [541] 0.1908146345 0.1911614817 0.1915174565 0.1918703887 0.1922476611
##  [546] 0.1926158059 0.1929687381 0.1933277554 0.1936761238 0.1940351411
##  [551] 0.1943728607 0.1947379630 0.1950908953 0.1954651251 0.1958271849
##  [556] 0.1961755534 0.1965163155 0.1968601202 0.1972373926 0.1975781547
##  [561] 0.1979371720 0.1982840192 0.1986217388 0.1989609797 0.1993169544
##  [566] 0.1996577166 0.2000045638 0.2003666236 0.2007317259 0.2010968282
##  [571] 0.2014406328 0.2017935651 0.2021388910 0.2024887807 0.2028401917
##  [576] 0.2031931239 0.2035399711 0.2038837758 0.2042427930 0.2045957253
##  [581] 0.2049532213 0.2053000685 0.2056560432 0.2060089754 0.2063558226
##  [586] 0.2067391800 0.2071012398 0.2074404807 0.2077873279 0.2081600365
##  [591] 0.2085084050 0.2088613372 0.2092020993 0.2095459040 0.2099140488
##  [596] 0.2102700236 0.2106077432 0.2109652392 0.2113181714 0.2116771887
##  [601] 0.2120149083 0.2123769681 0.2127268578 0.2130950027 0.2134312010
##  [606] 0.2137780482 0.2141279379 0.2144991253 0.2148581425 0.2152049897
##  [611] 0.2155700920 0.2159199817 0.2162622652 0.2166060698 0.2169468320
##  [616] 0.2172830303 0.2176268350 0.2180010649 0.2183387845 0.2186947593
##  [621] 0.2190507340 0.2193960599 0.2197550772 0.2200958394 0.2204366015
##  [626] 0.2207804062 0.2211424660 0.2214893132 0.2218361603 0.2221906138
##  [631] 0.2225268122 0.2228767019 0.2232129003 0.2235719175 0.2239233285
##  [636] 0.2242610481 0.2246094166 0.2249806039 0.2253457062 0.2257047235
##  [641] 0.2260667833 0.2264197155 0.2267559139 0.2271331863 0.2274709059
##  [646] 0.2278299232 0.2281737278 0.2285266601 0.2289054537 0.2292568647
##  [651] 0.2296204457 0.2299642504 0.2303171826 0.2306898912 0.2310306534
##  [656] 0.2313805431 0.2317213052 0.2320833650 0.2324332547 0.2327694531
##  [661] 0.2331254279 0.2334661900 0.2338160797 0.2341811820 0.2345189017
##  [666] 0.2348657488 0.2352095535 0.2355594432 0.2359062904 0.2362424888
##  [671] 0.2366045486 0.2369605233 0.2373225831 0.2376785578 0.2380193200
##  [676] 0.2383844223 0.2387282270 0.2390750742 0.2394158363 0.2397596410
##  [681] 0.2401217008 0.2404761543 0.2408290865 0.2411881037 0.2415425572
##  [686] 0.2418909257 0.2422286453 0.2425922264 0.2429329885 0.2432767932
##  [691] 0.2436647144 0.2440085191 0.2443477599 0.2446946071 0.2450384118
##  [696] 0.2453852590 0.2457214574 0.2460683046 0.2464197155 0.2467665627
##  [701] 0.2471194949 0.2474602571 0.2478101468 0.2481509090 0.2484886286
##  [706] 0.2488415608 0.2491884080 0.2495382977 0.2498881874 0.2502441622
##  [711] 0.2505970944 0.2509591542 0.2512968738 0.2516376360 0.2519920895
##  [716] 0.2523419792 0.2526888263 0.2530311098 0.2533931695 0.2537369742
##  [721] 0.2541203316 0.2544808702 0.2548277173 0.2551806496 0.2555244542
##  [726] 0.2558621739 0.2562120636 0.2565513045 0.2569179280 0.2572571689
##  [731] 0.2576161862 0.2579569484 0.2583083593 0.2586795467 0.2590157450
##  [736] 0.2593565072 0.2597079182 0.2600882331 0.2604381228 0.2607849700
##  [741] 0.2611652849 0.2615303872 0.2618772344 0.2622149540 0.2625800563
##  [746] 0.2629269035 0.2632798357 0.2636236404 0.2639948277 0.2643477599
##  [751] 0.2647113410 0.2650521031 0.2654172054 0.2657579676 0.2661139423
##  [756] 0.2664729596 0.2668228493 0.2671940367 0.2675591390 0.2679272838
##  [761] 0.2682710885 0.2686194569 0.2689906443 0.2693435765 0.2697025937
##  [766] 0.2700616110 0.2704175858 0.2707583479 0.2711112801 0.2714733399
##  [771] 0.2718293147 0.2721731193 0.2725473492 0.2729154940 0.2732532137
##  [776] 0.2736000609 0.2739712482 0.2743089678 0.2746603788 0.2750300449
##  [781] 0.2753814558 0.2757435156 0.2761055754 0.2764554651 0.2768190462
##  [786] 0.2771780634 0.2775462083 0.2779097893 0.2782627215 0.2786095687
##  [791] 0.2789685860 0.2793093481 0.2796501103 0.2800091276 0.2803681448
##  [796] 0.2807134708 0.2810603179 0.2813980376 0.2817570548 0.2821145508
##  [801] 0.2824766106 0.2828173728 0.2831581349 0.2835080246 0.2838822545
##  [806] 0.2842443143 0.2846215867 0.2849775614 0.2853517913 0.2856955960
##  [811] 0.2860515707 0.2864045029 0.2867696052 0.2871316650 0.2875028524
##  [816] 0.2878664334 0.2882345782 0.2885783829 0.2889328364 0.2892735985
##  [821] 0.2896356583 0.2899916331 0.2903415228 0.2907066251 0.2910565148
##  [826] 0.2914124895 0.2917745493 0.2921274816 0.2924743287 0.2928150909
##  [831] 0.2931725869 0.2935133491 0.2938601962 0.2942100860 0.2945508481
##  [836] 0.2948992166 0.2952399787 0.2955929109 0.2959367156 0.2962835628
##  [841] 0.2966197612 0.2969605233 0.2973210618 0.2976587815 0.2980025861
##  [846] 0.2983585609 0.2987175782 0.2990674679 0.2994173576 0.2997672473
##  [851] 0.3001156157 0.3004639842 0.3008169164 0.3011820187 0.3015182171
##  [856] 0.3018726706 0.3022286453 0.3025694075 0.3029314673 0.3032874420
##  [861] 0.3036373317 0.3040024340 0.3043523237 0.3047082985 0.3050703583
##  [866] 0.3054232905 0.3057701377 0.3061108998 0.3064683958 0.3068091580
##  [871] 0.3071560052 0.3075058949 0.3078466570 0.3081950255 0.3085357876
##  [876] 0.3088887199 0.3092325245 0.3095793717 0.3099657717 0.3103065338
##  [881] 0.3106533810 0.3109911006 0.3113470754 0.3117091352 0.3120559824
##  [886] 0.3124210847 0.3127801019 0.3131391192 0.3134950939 0.3138601962
##  [891] 0.3141979159 0.3145447631 0.3148885677 0.3152567126 0.3156096448
##  [896] 0.3159473644 0.3162850840 0.3166258462 0.3169696509 0.3173073705
##  [901] 0.3176876854 0.3180360539 0.3183859436 0.3187540884 0.3191131057
##  [906] 0.3194782080 0.3198372252 0.3201810299 0.3205187495 0.3208655967
##  [911] 0.3212124439 0.3215562486 0.3219091808 0.3222681981 0.3226180878
##  [916] 0.3229558074 0.3233148247 0.3236555868 0.3240085191 0.3243477599
##  [921] 0.3246885221 0.3250505819 0.3253913440 0.3257366700 0.3260743896
##  [926] 0.3264151517 0.3267680840 0.3271271012 0.3274952461 0.3278694759
##  [931] 0.3282284932 0.3285814254 0.3289252301 0.3292720773 0.3296250095
##  [936] 0.3299748992 0.3303339165 0.3306716361 0.3310215258 0.3313592455
##  [941] 0.3317000076 0.3320590249 0.3324058721 0.3327557618 0.3331056515
##  [946] 0.3334950939 0.3338419411 0.3341933521 0.3345432418 0.3349174717
##  [951] 0.3352856165 0.3356568038 0.3359945235 0.3363413707 0.3366973454
##  [956] 0.3370502776 0.3374184225 0.3377652696 0.3381212444 0.3384863467
##  [961] 0.3388331939 0.3391800411 0.3395299308 0.3398767780 0.3402297102
##  [966] 0.3405765574 0.3409294896 0.3412976344 0.3416505667 0.3419943713
##  [971] 0.3423716437 0.3427184909 0.3430683806 0.3434121853 0.3437681600
##  [976] 0.3441089222 0.3444512056 0.3448087016 0.3451540275 0.3454917472
##  [981] 0.3458416369 0.3461823990 0.3465322887 0.3468791359 0.3472275044
##  [986] 0.3475682665 0.3479166350 0.3482786948 0.3486164144 0.3489617403
##  [991] 0.3493085875 0.3496539134 0.3500038031 0.3503643417 0.3507294440
##  [996] 0.3510702061 0.3514489998 0.3518141021 0.3521518217 0.3525001902
## [1001] 0.3528561649 0.3531938845 0.3535498593 0.3539103978 0.3543028828
## [1006] 0.3546679851 0.3550361299 0.3553875409 0.3557435156 0.3560873203
## [1011] 0.3564280825 0.3567642808 0.3571217768 0.3574671028 0.3578078649
## [1016] 0.3581501483 0.3585304632 0.3589062143 0.3592971781 0.3596379402
## [1021] 0.3600045638 0.3603422834 0.3606952156 0.3610527116 0.3614178139
## [1026] 0.3617890013 0.3621358485 0.3624826957 0.3628310641 0.3631992089
## [1031] 0.3635536624 0.3639172435 0.3643082072 0.3646672245 0.3650262417
## [1036] 0.3653639614 0.3657168936 0.3660667833 0.3664105880 0.3667543926
## [1041] 0.3671134099 0.3674572146 0.3678025405 0.3681752491 0.3685144900
## [1046] 0.3688932836 0.3692507796 0.3696006694 0.3699764205 0.3703202251
## [1051] 0.3706853275 0.3710413022 0.3714094470 0.3717562942 0.3720985776
## [1056] 0.3724484673 0.3728090059 0.3731558530 0.3734996577 0.3738708451
## [1061] 0.3742100860 0.3745523694 0.3748900890 0.3752354149 0.3755837834
## [1066] 0.3759458432 0.3762866053 0.3766456226 0.3769939910 0.3773362744
## [1071] 0.3776937704 0.3780497452 0.3783965924 0.3787525671 0.3790994143
## [1076] 0.3794523465 0.3798113638 0.3801825512 0.3805202708 0.3808671180
## [1081] 0.3812048376 0.3815638549 0.3819046170 0.3822636343 0.3826135240
## [1086] 0.3829694987 0.3833193885 0.3836814482 0.3840374230 0.3843857914
## [1091] 0.3847417662 0.3850855709 0.3854263330 0.3857762227 0.3861413250
## [1096] 0.3864820872 0.3868213281 0.3871773028 0.3875226287 0.3878649121
## [1101] 0.3882056743 0.3885631703 0.3888993687 0.3892614285 0.3896113182
## [1106] 0.3899596866 0.3903095763 0.3906503385 0.3909971857 0.3913562029
## [1111] 0.3917121777 0.3920590249 0.3923997870 0.3927527193 0.3931117365
## [1116] 0.3934646687 0.3938206435 0.3941827033 0.3945265079 0.3948703126
## [1121] 0.3952110748 0.3955670495 0.3959291093 0.3963185518 0.3966562714
## [1126] 0.3969970335 0.3973438807 0.3976907279 0.3980482239 0.3984087625
## [1131] 0.3987586522 0.3990994143 0.3994432190 0.3998022363 0.4001429984
## [1136] 0.4004837606 0.4008336503 0.4011713699 0.4015243021 0.4018620218
## [1141] 0.4022027839 0.4025633224 0.4029192972 0.4032889633 0.4036373317
## [1146] 0.4039735301 0.4043203773 0.4046961284 0.4050734008 0.4054308968
## [1151] 0.4057716589 0.4061124211 0.4064623108 0.4068152430 0.4071666540
## [1156] 0.4075074161 0.4078512208 0.4082011105 0.4085510002 0.4089115388
## [1161] 0.4092523009 0.4096082757 0.4099581654 0.4102989275 0.4106351259
## [1166] 0.4109728455 0.4113196927 0.4116695824 0.4120270784 0.4123921807
## [1171] 0.4127390279 0.4130858751 0.4134448924 0.4138054309 0.4141522781
## [1176] 0.4144915190 0.4148429299 0.4151989047 0.4155472731 0.4159002054
## [1181] 0.4162516163 0.4165908572 0.4169361832 0.4172754241 0.4176435689
## [1186] 0.4179797672 0.4183479121 0.4187023656 0.4190735529 0.4194280064
## [1191] 0.4197778961 0.4201247433 0.4204624629 0.4208001826 0.4211591998
## [1196] 0.4215227809 0.4218696281 0.4222423367 0.4225907051 0.4229375523
## [1201] 0.4233148247 0.4236707994 0.4240313379 0.4243812277 0.4247235111
## [1206] 0.4250916559 0.4254506732 0.4258005629 0.4261580589 0.4265018635
## [1211] 0.4268441470 0.4271955579 0.4275378413 0.4278983799 0.4282726097
## [1216] 0.4286346695 0.4289967293 0.4293329277 0.4297025937 0.4300798661
## [1221] 0.4304282346 0.4307735605 0.4311280140 0.4315068076 0.4318521336
## [1226] 0.4321959382 0.4325367004 0.4328957177 0.4332334373 0.4335833270
## [1231] 0.4339225679 0.4342815852 0.4346299536 0.4349737583 0.4353434244
## [1236] 0.4356811440 0.4360629801 0.4363991785 0.4367353769 0.4370852666
## [1241] 0.4374229862 0.4377667909 0.4381105956 0.4384620065 0.4387997262
## [1246] 0.4391617860 0.4395192820 0.4398630866 0.4402342740 0.4406115464
## [1251] 0.4409583935 0.4413143683 0.4416642580 0.4420111052 0.4423518673
## [1256] 0.4427139271 0.4430668594 0.4434410892 0.4438305317 0.4441773789
## [1261] 0.4445303111 0.4449014984 0.4452726858 0.4456347456 0.4459937628
## [1266] 0.4463375675 0.4466783297 0.4470160493 0.4473811516 0.4477401689
## [1271] 0.4480991861 0.4484429908 0.4488050506 0.4491671104 0.4495078725
## [1276] 0.4498577622 0.4502289496 0.4505727542 0.4509287290 0.4512694911
## [1281] 0.4516072108 0.4519540580 0.4522948201 0.4526386248 0.4529824295
## [1286] 0.4533292766 0.4536761238 0.4540412261 0.4544124135 0.4547775158
## [1291] 0.4551456606 0.4555016354 0.4558484825 0.4561983723 0.4565604320
## [1296] 0.4569042367 0.4572541264 0.4575948886 0.4579417358 0.4583159656
## [1301] 0.4586932380 0.4590583403 0.4594082300 0.4597642048 0.4601384346
## [1306] 0.4604761543 0.4608442991 0.4612215715 0.4615836312 0.4619335210
## [1311] 0.4622986233 0.4626515555 0.4630197003 0.4633787176 0.4637346923
## [1316] 0.4641150072 0.4644770670 0.4648360843 0.4651920590 0.4655449913
## [1321] 0.4658857534 0.4662417282 0.4665794478 0.4669293375 0.4672944398
## [1326] 0.4676352019 0.4679729216 0.4683501940 0.4686939986 0.4690317183
## [1331] 0.4693876930 0.4697527953 0.4701239827 0.4704738724 0.4708602723
## [1336] 0.4712284171 0.4716513273 0.4720103446 0.4723571918 0.4727040389
## [1341] 0.4730721838 0.4734129459 0.4737597931 0.4741096828 0.4744474024
## [1346] 0.4748064197 0.4751715220 0.4755427094 0.4758895566 0.4762364037
## [1351] 0.4765802084 0.4769392257 0.4773119343 0.4776922492 0.4780603940
## [1356] 0.4784011562 0.4787571309 0.4791131057 0.4794690804 0.4798128851
## [1361] 0.4801566897 0.4805157070 0.4808564692 0.4811972313 0.4815349509
## [1366] 0.4818848406 0.4822316878 0.4825694075 0.4829162547 0.4832874420
## [1371] 0.4836434167 0.4839811364 0.4843371111 0.4846748308 0.4850216779
## [1376] 0.4853746102 0.4857244999 0.4860743896 0.4864181943 0.4867680840
## [1381] 0.4871179737 0.4874587358 0.4878116681 0.4881524302 0.4884962349
## [1386] 0.4888643797 0.4892355670 0.4895732867 0.4899231764 0.4902791511
## [1391] 0.4906381684 0.4909850156 0.4913349053 0.4917060926 0.4920833650
## [1396] 0.4924362973 0.4928105271 0.4931512893 0.4934981365 0.4938449836
## [1401] 0.4942131285 0.4945508481 0.4949189929 0.4952749677 0.4956187723
## [1406] 0.4959899597 0.4963459344 0.4967049517 0.4970852666 0.4974564539
## [1411] 0.4978306838 0.4981684034 0.4985243782 0.4988651403 0.4992363277
## [1416] 0.4995953449 0.4999421921 0.5003042519 0.5006754393 0.5010435841
## [1421] 0.5013843462 0.5017403210 0.5020871682 0.5024370579 0.5027930326
## [1426] 0.5031490074 0.5035171522 0.5038579144 0.5041986765 0.5045637788
## [1431] 0.5049136685 0.5052787708 0.5056256180 0.5059846353 0.5063375675
## [1436] 0.5066783297 0.5070221343 0.5073902792 0.5077371263 0.5080778885
## [1441] 0.5084186506 0.5087654978 0.5091032175 0.5094500647 0.5097999544
## [1446] 0.5101650567 0.5105058188 0.5108770062 0.5112268959 0.5115707005
## [1451] 0.5119114627 0.5122537461 0.5126127634 0.5129809082 0.5133307979
## [1456] 0.5136776451 0.5140427474 0.5143987221 0.5147668670 0.5151137142
## [1461] 0.5154818590 0.5158195786 0.5161877234 0.5165284856 0.5168753328
## [1466] 0.5172343500 0.5175872823 0.5179919373 0.5183448696 0.5186917167
## [1471] 0.5190355214 0.5193914962 0.5197535559 0.5201156157 0.5204868031
## [1476] 0.5208366928 0.5211835400 0.5215334297 0.5218833194 0.5222392941
## [1481] 0.5225952689 0.5229542861 0.5233011333 0.5236418955 0.5239826576
## [1486] 0.5243508025 0.5246915646 0.5250292842 0.5253761314 0.5257381912
## [1491] 0.5261002510 0.5264440557 0.5267909029 0.5271529627 0.5275089374
## [1496] 0.5278618696 0.5282117593 0.5285616490 0.5289054537 0.5292553434
## [1501] 0.5296174032 0.5299672929 0.5303202251 0.5306640298 0.5310139195
## [1506] 0.5313790218 0.5317228265 0.5320848863 0.5324317335 0.5327907507
## [1511] 0.5331497680 0.5335087853 0.5338525899 0.5342055222 0.5345462843
## [1516] 0.5348840040 0.5352217236 0.5355594432 0.5359154180 0.5362866053
## [1521] 0.5366395375 0.5369955123 0.5373332319 0.5377013767 0.5380390964
## [1526] 0.5383889861 0.5387449608 0.5390887655 0.5394356127 0.5398037575
## [1531] 0.5401445197 0.5404822393 0.5408534266 0.5412063589 0.5415501635
## [1536] 0.5418939682 0.5422408154 0.5425815775 0.5429192972 0.5432570168
## [1541] 0.5436160341 0.5439780939 0.5443158135 0.5446717882 0.5450277630
## [1546] 0.5453837377 0.5457488400 0.5460880809 0.5464562258 0.5468091580
## [1551] 0.5471529627 0.5475028524 0.5478405720 0.5481782916 0.5485251388
## [1556] 0.5488841561 0.5492218757 0.5495595953 0.5499186126 0.5502928425
## [1561] 0.5506396897 0.5509804518 0.5513242565 0.5516893588 0.5520362060
## [1566] 0.5523754469 0.5527648893 0.5531223853 0.5534692325 0.5538206435
## [1571] 0.5541750970 0.5545417205 0.5549022591 0.5552658401 0.5556461550
## [1576] 0.5560112573 0.5563504982 0.5567064730 0.5570700540 0.5574123374
## [1581] 0.5577591846 0.5581136381 0.5584650491 0.5588042900 0.5591526584
## [1586] 0.5595025481 0.5598433103 0.5602084126 0.5605476535 0.5609203621
## [1591] 0.5612732943 0.5616338328 0.5619837225 0.5623244847 0.5626774169
## [1596] 0.5630333916 0.5633802388 0.5637240435 0.5640830608 0.5644299080
## [1601] 0.5647676276 0.5651144748 0.5655008747 0.5658507644 0.5662189093
## [1606] 0.5665718415 0.5669278162 0.5672868335 0.5676306382 0.5679896554
## [1611] 0.5683456302 0.5686924774 0.5690393246 0.5693952993 0.5697360615
## [1616] 0.5700905149 0.5704388834 0.5707872518 0.5711432266 0.5714961588
## [1621] 0.5718399635 0.5722050658 0.5725412642 0.5728881114 0.5732440861
## [1626] 0.5735954971 0.5739484293 0.5742861489 0.5746284323 0.5749859283
## [1631] 0.5753403818 0.5757024416 0.5760645014 0.5764113486 0.5767703659
## [1636] 0.5771354682 0.5774944854 0.5778352476 0.5781851373 0.5785289420
## [1641] 0.5788879592 0.5792591466 0.5796272914 0.5799650110 0.5803209858
## [1646] 0.5806647904 0.5810116376 0.5813676124 0.5817235871 0.5820704343
## [1651] 0.5824264091 0.5827823838 0.5831201034 0.5834699932 0.5838198829
## [1656] 0.5841576025 0.5844983646 0.5848391268 0.5851798889 0.5855297787
## [1661] 0.5858948810 0.5862478132 0.5865855328 0.5869354225 0.5872761847
## [1666] 0.5876321594 0.5879820491 0.5883349814 0.5886818286 0.5890438883
## [1671] 0.5894120332 0.5897558378 0.5900935575 0.5904434472 0.5907872518
## [1676] 0.5911462691 0.5914931163 0.5918338785 0.5921928957 0.5925367004
## [1681] 0.5928987602 0.5932425648 0.5935863695 0.5939271317 0.5942709363
## [1686] 0.5946116985 0.5949494181 0.5952901803 0.5956431125 0.5959838746
## [1691] 0.5963276793 0.5966958241 0.5970426713 0.5974032099 0.5977865673
## [1696] 0.5981486271 0.5984893892 0.5988271088 0.5991952537 0.5995497072
## [1701] 0.5998859055 0.6002327527 0.6005872062 0.6009249258 0.6012854644
## [1706] 0.6016307903 0.6019761162 0.6023138359 0.6026652468 0.6030288279
## [1711] 0.6033650262 0.6037149160 0.6040556781 0.6043949190 0.6047463300
## [1716] 0.6050992622 0.6054461094 0.6058036054 0.6061580589 0.6064988210
## [1721] 0.6068350194 0.6071909941 0.6075332776 0.6078862098 0.6082269719
## [1726] 0.6085677341 0.6089069750 0.6092492584 0.6095991481 0.6099353465
## [1731] 0.6102867574 0.6106457747 0.6110017494 0.6113379478 0.6116878375
## [1736] 0.6120590249 0.6123997870 0.6127405492 0.6130889176 0.6134692325
## [1741] 0.6138221648 0.6141629269 0.6144991253 0.6148642276 0.6152156385
## [1746] 0.6155700920 0.6159123754 0.6162531376 0.6165954210 0.6169331406
## [1751] 0.6172891154 0.6176481327 0.6179980224 0.6183479121 0.6187038868
## [1756] 0.6190507340 0.6194006237 0.6197505134 0.6200912756 0.6204442078
## [1761] 0.6207834487 0.6211302959 0.6214680155 0.6218407241 0.6221875713
## [1766] 0.6225526736 0.6228995208 0.6232554956 0.6235993002 0.6239370199
## [1771] 0.6242838670 0.6246215867 0.6249623488 0.6253122385 0.6256682133
## [1776] 0.6260150605 0.6263740777 0.6267452651 0.6271042823 0.6274511295
## [1781] 0.6277949342 0.6281539515 0.6285281813 0.6288689435 0.6292097056
## [1786] 0.6295565528 0.6299186126 0.6302563322 0.6306092645 0.6309530691
## [1791] 0.6313120864 0.6316558911 0.6319936107 0.6323435004 0.6326812201
## [1796] 0.6330219822 0.6333597018 0.6336974215 0.6340716513 0.6344245836
## [1801] 0.6347623032 0.6351121929 0.6354529550 0.6357998022 0.6361557770
## [1806] 0.6364934966 0.6368433863 0.6371841485 0.6375249106 0.6378687153
## [1811] 0.6382307751 0.6385806648 0.6389183844 0.6392804442 0.6396303339
## [1816] 0.6399741386 0.6403118582 0.6406556629 0.6410025101 0.6413554423
## [1821] 0.6416992470 0.6420430516 0.6423838138 0.6427245759 0.6430714231
## [1826] 0.6434121853 0.6437681600 0.6441241348 0.6444648969 0.6448147866
## [1831] 0.6451646764 0.6455054385 0.6458522857 0.6461960904 0.6465672777
## [1836] 0.6469384650 0.6473157374 0.6476717122 0.6480124743 0.6483562790
## [1841] 0.6487152963 0.6490530159 0.6493968206 0.6497467103 0.6500874724
## [1846] 0.6504404047 0.6507781243 0.6511188864 0.6514779037 0.6518156233
## [1851] 0.6521807256 0.6525169240 0.6528713775 0.6532167034 0.6535757207
## [1856] 0.6539225679 0.6542785426 0.6546223473 0.6549828858 0.6553327755
## [1861] 0.6556917928 0.6560355975 0.6563733171 0.6567688446 0.6571111280
## [1866] 0.6574731878 0.6578200350 0.6581790523 0.6585395908 0.6588833955
## [1871] 0.6592272001 0.6596059938 0.6599650110 0.6603149007 0.6606800030
## [1876] 0.6610283715 0.6613721762 0.6617144596 0.6620597855 0.6624111965
## [1881] 0.6627565224 0.6631033696 0.6634502168 0.6638016277 0.6641576025
## [1886] 0.6645287898 0.6648786795 0.6652376968 0.6656027991 0.6659435613
## [1891] 0.6662873659 0.6666235643 0.6669704115 0.6673111737 0.6676732334
## [1896] 0.6680109531 0.6683730129 0.6687563703 0.6691138663 0.6694576710
## [1901] 0.6698227733 0.6701726630 0.6705225527 0.6708663573 0.6712253746
## [1906] 0.6715676580 0.6719084202 0.6722491823 0.6725960295 0.6729550468
## [1911] 0.6733110215 0.6736837301 0.6740305773 0.6743804670 0.6747273142
## [1916] 0.6750711189 0.6754331787 0.6757921959 0.6761572982 0.6765102305
## [1921] 0.6768631627 0.6772008823 0.6775446870 0.6779219594 0.6782809766
## [1926] 0.6786278238 0.6789807561 0.6793245607 0.6797079182 0.6800593291
## [1931] 0.6804076976 0.6807484597 0.6810877006 0.6814801856 0.6818179052
## [1936] 0.6821586674 0.6824994295 0.6828523618 0.6831961664 0.6835445349
## [1941] 0.6839218073 0.6842656119 0.6846155016 0.6849699551 0.6853198448
## [1946] 0.6856864684 0.6860394006 0.6863877691 0.6867498289 0.6871149312
## [1951] 0.6874648209 0.6878329657 0.6881843767 0.6885464364 0.6888841561
## [1956] 0.6892340458 0.6895748079 0.6899216551 0.6902624173 0.6906123070
## [1961] 0.6909591542 0.6913136077 0.6916665399 0.6920194721 0.6923876169
## [1966] 0.6927466342 0.6930934814 0.6934403286 0.6937963033 0.6941461930
## [1971] 0.6945280292 0.6948718339 0.6952430212 0.6955929109 0.6959382369
## [1976] 0.6962881266 0.6966410588 0.6969848635 0.6973286681 0.6977105043
## [1981] 0.6980512664 0.6984102837 0.6987632159 0.6991009356 0.6994462615
## [1986] 0.6997961512 0.7001429984 0.7004868031 0.7008275652 0.7011941888
## [1991] 0.7015501635 0.7018939682 0.7022529855 0.7026211303 0.7029710200
## [1996] 0.7033269948 0.7036799270 0.7040343805 0.7043903552 0.7047524150
## [2001] 0.7051205598 0.7054658858 0.7058127329 0.7061580589 0.7064957785
## [2006] 0.7068487107 0.7071986004 0.7075469689 0.7079090287 0.7082665247
## [2011] 0.7086072868 0.7089663041 0.7093161938 0.7096691260 0.7100342283
## [2016] 0.7103780330 0.7107142314 0.7110823762 0.7114368297 0.7118080170
## [2021] 0.7121594280 0.7125336579 0.7128698562 0.7132121397 0.7135574656
## [2026] 0.7138951852 0.7142450749 0.7145888796 0.7149372480 0.7153114779
## [2031] 0.7156796227 0.7160386400 0.7164128699 0.7167627596 0.7171339469
## [2036] 0.7174990492 0.7178519814 0.7181897011 0.7185304632 0.7188712254
## [2041] 0.7192332852 0.7195740473 0.7199148095 0.7202586141 0.7206115464
## [2046] 0.7209523085 0.7213113258 0.7216642580 0.7220019776 0.7223518673
## [2051] 0.7226926295 0.7230394767 0.7233863239 0.7237240435 0.7240830608
## [2056] 0.7244329505 0.7247737126 0.7251661976 0.7255404275 0.7259268274
## [2061] 0.7262645470 0.7266083517 0.7269704115 0.7273081311 0.7276793185
## [2066] 0.7280170381 0.7283760554 0.7287259451 0.7290636647 0.7294287670
## [2071] 0.7297725717 0.7301255039 0.7304845212 0.7308557085 0.7312086408
## [2076] 0.7315554879 0.7318992926 0.7322674374 0.7326294972 0.7329702594
## [2081] 0.7333140640 0.7336700388 0.7340442687 0.7343941584 0.7347410056
## [2086] 0.7350969803 0.7354499125 0.7357967597 0.7361329581 0.7364813265
## [2091] 0.7368403438 0.7372024036 0.7375522933 0.7378991405 0.7382490302
## [2096] 0.7385897923 0.7389275120 0.7392682741 0.7396120788 0.7399619685
## [2101] 0.7403118582 0.7406708755 0.7410359778 0.7413889100 0.7417357572
## [2106] 0.7420841257 0.7424401004 0.7427778200 0.7431246672 0.7434669506
## [2111] 0.7438061915 0.7441484749 0.7445059709 0.7448467331 0.7451844527
## [2116] 0.7455252149 0.7458751046 0.7462113030 0.7465931391 0.7469293375
## [2121] 0.7472944398 0.7476321594 0.7479820491 0.7483486727 0.7486939986
## [2126] 0.7490469309 0.7493876930 0.7497391040 0.7500920362 0.7504312771
## [2131] 0.7507994219 0.7511614817 0.7515007226 0.7518384422 0.7522035445
## [2136] 0.7525427854 0.7528850688 0.7532334373 0.7535787632 0.7539362592
## [2141] 0.7542891915 0.7546436449 0.7549920134 0.7553555944 0.7557176542
## [2146] 0.7560721077 0.7564189549 0.7567962273 0.7571567658 0.7575081768
## [2151] 0.7578808854 0.7582231688

plot(fraCUM,ylim=c(0,1), col="red", xlab="child sup 110")

plot(fraCUM)

Assign to vector rH a random permutation of H. Superpose on the same graphics cumulated frequencies for rH>110, in blue.

rH=sample(DATA$H,length(DATA$H)) ; rH

##    [1] 115.0 118.0 114.5 106.0 112.0 104.0 121.0 107.0 114.0 118.0 112.0 103.5
##   [13] 118.0 108.0 112.0 115.0 119.0 122.0 121.0 117.0 112.5 115.5 108.0 119.0
##   [25] 117.5 107.0 119.0 109.5 115.0 109.5 110.0 110.0 121.0 115.0 114.0 121.0
##   [37] 112.0 106.5 117.0 116.0 105.0 117.0 116.5 112.0 109.0 106.0 114.0 111.0
##   [49] 112.0 107.0 110.0 112.5 117.0 114.0 126.0 106.5 110.0 121.0 111.0 110.5
##   [61] 113.0 110.5 111.0 106.0 121.0 111.0 109.0 110.0 114.0 114.0 118.0 116.0
##   [73] 115.0 115.0 114.0 125.5 116.0 113.0 112.5 123.0 114.0 112.0 114.0 113.0
##   [85] 120.0 110.0 116.0 118.0 109.0 115.0 116.0 120.0 104.0 122.0 112.0 114.0
##   [97] 121.0 111.0 111.0 116.0 117.5 103.5 114.5 112.0 119.5 108.0 115.0 114.0
##  [109] 112.0 125.0 119.0 109.5 113.0 127.0 116.5 115.0 117.0 120.0 116.0 110.0
##  [121] 118.0 109.0 115.0 114.5 112.0 112.0 114.0 108.0 107.0 118.0 116.0 114.5
##  [133] 115.0 117.0 113.0 117.0 109.5 115.0 120.0 117.0 123.0 106.0 101.5 108.0
##  [145] 112.0 111.0 114.0 113.0 118.0 112.0 115.0 111.5 114.0 113.0 106.0 123.0
##  [157] 110.0 112.0 112.0 114.0 125.5 113.0 112.0 112.0 115.0 111.0 115.0 108.0
##  [169] 113.0 113.0 109.0 112.5 113.0 110.5 111.0 114.5 111.0 115.5 104.0 120.0
##  [181] 116.0 117.0  99.0 114.0 121.0 116.5 114.0 108.0 113.0 106.0 116.5 115.5
##  [193] 109.5 107.5 121.0 119.0 109.0 109.0 112.0 112.0 109.5 108.0 116.0 116.0
##  [205] 119.0 119.0 108.0 109.0 109.0 105.0 115.0 112.0 119.0 110.0 117.0 113.0
##  [217] 122.0 118.0 111.0 114.0 115.0 120.0 113.5 107.0 104.0 117.0 126.0 117.0
##  [229] 115.5 114.5 110.0 126.0 112.0 109.0 117.5 115.0 119.0 114.0 116.0 109.0
##  [241] 110.0 110.0 104.5 109.0 118.0 110.0 120.0 106.0 108.5 115.5 115.0 114.0
##  [253] 112.0 120.0 110.5 118.0 114.0 112.0 115.0 115.0 107.0 109.0 114.0 116.0
##  [265] 115.0 113.0 119.5 116.0 114.0 115.5 111.0 112.0 120.0 107.0 126.0 115.0
##  [277] 122.0 121.0 116.0 107.5 118.0 114.0 108.0 111.0 106.0 118.0 115.0 130.0
##  [289] 108.0 115.0 120.0 107.0 116.0 113.0 106.0 101.0 116.0 114.0 112.0 105.0
##  [301] 111.5 115.0 112.0 114.0 109.0 113.0 116.0 112.0 108.0 107.0 115.0 116.0
##  [313] 108.0 125.0 114.0 107.0 113.0 114.0 123.0 118.0 116.0 121.0 109.0 117.0
##  [325] 118.0 117.5 109.5 121.5 110.0 110.0 107.5 120.0 115.0 115.0 110.0 102.0
##  [337] 121.0 117.0 119.0 111.0 118.0 116.0 110.0 110.0 113.0 114.0 116.5 109.5
##  [349] 125.5 120.0 117.0 118.0 111.5 117.0 111.0 112.0 114.0 109.0 118.0 112.0
##  [361] 109.0 116.5 106.0 107.0 116.5 113.0 112.0 122.0 118.0 107.0 108.0 109.0
##  [373] 113.0 118.0 111.0 115.5 108.0 115.0 112.0 122.5 108.0 110.0 111.0 110.0
##  [385] 109.0 118.0 112.5 111.0 114.0 118.0 111.0 115.5 108.0 118.0 118.0 120.0
##  [397] 113.0 118.5 104.5 124.0 113.0 118.0 123.0 111.0 115.0 114.5 116.0 110.0
##  [409] 123.0 114.0 107.0 115.0 112.0 110.0 111.0 115.0 109.0 121.0 114.0 104.0
##  [421] 115.0 112.0 120.0 105.0 114.0 111.0 114.0 120.0 116.0 113.0 108.0 114.0
##  [433] 116.0 116.0 117.0 107.0 120.0 112.0 125.0 114.0 119.0 108.5 118.0 117.0
##  [445] 113.0 111.5 127.0 115.0 115.0 108.0 109.0 113.0 119.0 111.0 109.0 114.0
##  [457] 107.0 117.0 115.0 122.0 113.0 103.0 105.0 106.0 124.0 114.0 113.0 110.5
##  [469] 111.0 111.0 114.0 116.0 110.0 108.0 117.0 112.0 119.0 113.0 112.0 112.0
##  [481] 114.5 118.0 120.0 119.5 116.0 112.0 107.0 115.0 111.0 120.0 119.0 111.0
##  [493] 112.0 104.0 110.5 111.5 117.5 109.5 106.0 122.0 113.0 111.0 110.0 108.0
##  [505] 115.0 109.0 107.0 108.0 107.0 113.5 113.0 117.0 110.0 116.0 113.5 114.0
##  [517] 117.0 117.0 111.0 112.0 115.5 112.5 118.0 113.0 113.5 110.0 120.0 111.0
##  [529] 106.5 110.0 108.5 125.0 121.0 116.5 104.0 113.0 118.0 111.5 109.5 118.5
##  [541] 116.0 110.0 117.5 112.0 117.0 115.0 107.0 109.0 105.0 105.0 118.0 115.0
##  [553] 109.0 116.0 108.5 108.0 118.0 112.0 115.0 117.0 113.5 113.0 125.0 112.5
##  [565] 114.0 111.0 120.0 117.0 109.0 106.0 112.0 106.0 112.5 115.0 118.5 116.5
##  [577] 119.0 113.0 111.0 116.0 113.0 110.5 114.0 117.0 106.0 112.0 111.0 109.5
##  [589] 115.0 111.0 111.0 116.5 120.5 113.0 119.5 106.0 120.0 117.0 114.0 104.0
##  [601] 115.0 106.5 116.0 127.0 107.0 108.0 114.0 111.0 123.0 111.0 117.0 122.5
##  [613] 130.0 112.0 114.5 113.0 119.0 115.5 102.0 116.0 114.0 115.0 120.0 114.0
##  [625] 110.0 117.0 120.0 123.0 118.0 119.0 114.5 113.0 129.0 111.0 120.0 122.0
##  [637] 117.0 113.5 108.0 128.0 118.5 108.5 121.0 107.0 112.0 122.0 114.0 115.5
##  [649] 122.0 112.0 110.5 114.0 106.0 114.0 108.0 108.0 109.0 113.0 115.0 116.0
##  [661] 112.0 110.0 113.0 117.0 112.0 114.5 113.0 112.0 107.0 108.0 111.0 113.5
##  [673] 113.0 107.5 123.5 113.0 116.5 109.0 112.0 121.0 118.0 117.0 113.0 109.5
##  [685] 110.5 110.0 114.0 110.0 120.0 119.0 117.0 117.0 108.0 121.0 117.0 112.0
##  [697] 120.0 116.5 111.0 116.0 121.0 115.0 122.5 122.0 110.0 111.5 117.0 112.0
##  [709] 122.0 115.5 119.0 119.0 109.0 114.0 120.0 107.0 118.0 108.0 105.0 113.0
##  [721] 112.0 112.0 106.0 119.0 112.5 107.5 119.0 115.5 114.0 118.0 105.0 110.0
##  [733] 116.0 117.0 121.5 114.0 108.0 114.0 103.0 110.0 122.5 109.0 117.0 109.0
##  [745] 115.0 115.0 110.0 108.0 113.5 107.0 116.0 110.0 105.5 122.0 103.0 122.0
##  [757] 121.0 119.0 122.0 109.0 117.0 112.5 110.0 109.0 114.0 112.0 104.0 112.0
##  [769] 118.0 110.5 104.0 118.5 128.5 114.0 107.0 114.0 107.5 104.0 112.0 118.0
##  [781] 110.0 121.0 116.0 109.5 107.0 116.0 113.0 108.0 115.0 123.0 118.5 105.0
##  [793] 107.5 113.0 111.0 106.0 113.0 114.0 108.0 106.0 111.0 106.5 111.0 111.0
##  [805] 112.0 118.0 120.0 117.0 123.0 124.0 111.5 122.0 120.0 118.0 121.0 112.5
##  [817] 112.0 118.0 112.0 112.0 113.5 120.0 114.0 106.5 118.5 116.0 114.0 118.0
##  [829] 115.0 110.0 112.0 118.0 110.0 111.0 113.0 116.0 109.0 112.0 114.0 115.0
##  [841] 115.0 112.0 119.0 110.0 126.5 108.0 117.0 128.0 101.0 118.0 113.0 112.0
##  [853] 104.5 113.0 118.0 108.0 123.0 117.0 124.0 115.0 104.0 113.0 114.5 103.5
##  [865] 112.0 109.0 114.0 110.0 114.0 117.0 119.5 118.0 113.0 118.0 117.0 111.0
##  [877] 114.0 121.5 111.0 115.0 110.0 107.0 109.0 103.0 112.0 110.0 116.5 108.0
##  [889] 111.0 119.0 113.0  96.0 112.0 116.0 101.0 112.0 115.0 120.0 112.0 116.0
##  [901] 111.5 114.0 120.0 111.0 108.5 110.0 125.0 121.0 118.0 120.0 112.0 122.0
##  [913] 112.0 110.5 111.0 113.0 107.5 118.5 116.0 110.5 109.0 119.0 119.0 110.0
##  [925] 107.0 119.0 119.0 116.0 111.0 117.0 115.5 112.5 117.0 117.0 117.0 111.0
##  [937] 108.5 114.0 108.0 108.0 114.5 113.0 110.5 107.0 118.0 114.0 112.0 125.0
##  [949] 114.0 117.0 107.5 114.5 112.0 112.0 113.5 115.5 109.0 110.5 120.0 119.5
##  [961] 117.0 114.5 112.5 110.0 106.0 115.5 108.0 115.0 118.0 109.0 119.0 118.0
##  [973] 119.0 116.5 110.5 115.0 111.0 110.5 110.5 120.0 120.0 116.0 111.0 114.0
##  [985] 117.0 109.0 114.0 110.0 106.0 110.0 119.0 122.0 115.0 111.0 123.0 120.5
##  [997] 118.5 108.0 115.0 109.0 112.0 117.0 118.0 114.0 112.0 114.0 113.0 104.0
## [1009] 106.0 112.0 109.0 114.0 110.0 120.0 115.0 112.5 122.0 123.0 113.0 115.5
## [1021] 119.0 116.0 108.0 113.5 115.0 112.0 120.0 121.5 109.5 106.5 108.0 118.0
## [1033] 112.0 114.0 112.0 110.0 120.0 119.0 115.0 117.5 113.5 112.0 121.0 113.0
## [1045] 117.0 110.0 121.0 114.0 114.0 112.0 119.0 110.0 112.0 119.0 114.0 117.5
## [1057] 119.5 114.5 120.0 117.0 111.0 128.5 115.0 109.5 114.5 120.0 114.5 112.0
## [1069] 113.5 112.5 111.5 114.0 121.0 109.0 117.0 110.0 107.0 109.0 117.0 127.5
## [1081] 112.0 114.0 107.0 117.0 117.5 120.0 122.0 109.0 117.0 113.0 120.0 112.5
## [1093] 119.0 108.0 109.0 113.0 119.0 111.5 110.5 110.5 118.5 110.0 110.5 108.0
## [1105] 112.0 111.0 121.0 120.0 105.5 108.0 115.0 113.0 108.0 114.5 110.5 111.0
## [1117] 118.0 117.5 115.0 116.0 118.5 124.0 105.0 107.0 115.0 111.0 114.0 112.0
## [1129] 116.5 117.0 121.0 113.5 113.0 116.0 114.0 117.0 114.0 114.0 104.5 121.0
## [1141] 111.5 108.0 107.5 114.0  99.0 116.5 115.0 115.5 114.0 108.0 117.5 115.0
## [1153] 124.5 107.0 121.0 121.0 117.0 109.0 113.5 116.5 110.5 126.0 112.0 109.0
## [1165] 111.0 118.0 108.0 109.0 115.0 115.0 112.0 112.0 112.5 112.0  99.0 109.5
## [1177] 122.5 111.0 115.5 111.0 118.0 120.0 113.5 120.0 110.5 115.5 119.0 111.0
## [1189] 115.0 121.0 108.0 115.0 122.0 116.0 117.0 110.5 119.0 117.0 111.0 113.5
## [1201] 118.0 118.0 104.0 108.0 111.0 109.0 112.5 120.5 108.0 112.0 114.0 111.5
## [1213] 112.0 111.0 105.0 112.0 111.0 124.0 109.0 119.0 106.0 120.5 116.0 111.0
## [1225] 111.0 111.5 118.0 106.0 106.0 111.0 115.0 110.0 105.0 115.0 117.5 112.0
## [1237] 118.0 125.0 120.0 105.0 114.5 113.0 117.0 112.0 117.0 118.0 114.0 105.5
## [1249] 110.5 117.0 122.0 115.0 108.0 120.0 116.0 108.0 114.0 108.0 105.0 116.5
## [1261] 112.0 113.0 113.0 120.5 121.0 122.0 121.0 115.0 110.0 117.5 115.0 111.5
## [1273] 118.0 117.0 117.0 114.0 110.0 109.0 111.0 114.5 119.5 117.0 118.0 119.0
## [1285] 111.0 117.0 118.5 105.0 112.0 123.0 115.0 118.0 114.0 113.0 117.0 119.0
## [1297] 116.5 110.5 113.0  97.0 116.0 111.0 113.0 112.0 119.0 113.0 111.0 115.0
## [1309] 107.0 113.0 133.0 117.0 119.0 115.0 113.0 110.0 114.0 110.0 115.0 119.0
## [1321] 114.0 117.5 113.0 113.0 105.5 110.0 122.0 111.0 120.0 108.5 112.0 116.5
## [1333] 117.0 117.0 103.0 108.5 129.0 103.0 122.0 119.0 111.0 119.0 107.0 114.0
## [1345] 112.5 115.0 112.0 114.0 114.0 113.0 117.0 113.0 116.0 111.0 113.5 110.0
## [1357] 112.0 115.0 121.0 113.5 124.0 118.0 123.0 122.0 111.0 111.0 120.0 110.0
## [1369] 114.0 108.0 113.0 114.0 113.0 111.0 110.0 114.0 121.0 114.0 119.5 113.0
## [1381] 122.0 114.0 117.0 124.0 128.0 113.0 112.5 115.5 110.5 107.0 105.0 114.0
## [1393] 123.5 109.0 105.0 105.0 116.0 113.0 110.0 112.0 114.0 118.0 105.0 109.0
## [1405] 115.0 113.0 125.0 110.0 114.0 101.0 111.0 123.0 112.0 110.0 112.0 120.0
## [1417] 116.0 117.0 116.0 113.0 106.0 118.0 122.5 107.0 109.0 119.0 110.0 115.0
## [1429] 112.0 112.5 110.5 110.0 114.0 119.0 111.0 108.5 114.0 115.0 120.0 114.5
## [1441] 120.0 112.5 113.0 105.0 103.0 106.0 112.0 116.0 120.0 112.0 114.0 123.0
## [1453] 119.0 123.0 114.0 107.0 110.0 118.0 107.0 112.0 112.0 119.0 121.0 124.5
## [1465] 112.0 112.0 108.0 121.0 109.0 111.0 120.0 106.0 105.0 104.5 110.0 114.0
## [1477] 112.0 117.0 111.5 107.5 117.0 117.0 118.0 115.5 109.0 109.0 110.0 106.0
## [1489] 115.0 113.0 114.0 112.0 111.0 122.0 115.0 123.0 116.0 108.0 115.0 109.0
## [1501] 109.0 106.5 113.5 116.0 126.0 114.0 114.0 109.0 109.0 106.0 106.0 110.0
## [1513] 107.0 113.5 110.0 112.0 113.5 112.0 110.0 117.0 112.0 122.0 104.0 113.0
## [1525] 117.0 127.0 111.5 118.0 110.5 114.0 112.0 106.0 111.5 109.0 110.0 119.5
## [1537] 124.0 116.0 114.5 106.0 105.0 110.0 115.0 107.0 117.0 126.0 116.0 114.0
## [1549] 118.0 112.0 112.0 110.5 110.0 104.0 119.0 117.0 126.0 108.0 115.0 121.0
## [1561] 104.0 109.0 113.0 110.0 115.5 116.0 118.0 114.0 111.0 116.0 111.0 117.0
## [1573] 115.0 110.0 111.0 118.5 108.0 121.0 117.0 110.0 121.0 111.0 116.0 112.0
## [1585] 114.0 117.0 116.0 103.0 111.0 109.5 115.0 107.5 107.0 122.0 120.0 111.5
## [1597] 105.0 114.0 117.0 122.0 113.0 116.0 118.0 107.5 106.0 115.5 123.0 109.0
## [1609] 106.0 112.0 117.5 114.0 122.5 109.0 111.0 113.0 110.0 108.0 108.0 104.0
## [1621] 114.0 116.0 103.0 115.0 106.0 110.0 121.0 114.0 107.0 114.0 111.0 107.0
## [1633] 109.0 114.5 111.0 114.0 110.5 119.0 117.0 118.0 110.0 114.0 122.0 114.0
## [1645] 111.0 111.0 117.0 112.5 121.0 108.0 115.0 117.0 128.0 121.0 107.0 117.5
## [1657] 110.5 114.0 122.5 115.0 112.0  99.5 113.0 118.0 115.0 120.0 109.0 121.0
## [1669] 122.0 121.5 109.0 118.0 113.0 120.0 120.0 111.0 115.0 116.0 113.0 112.0
## [1681] 106.5 117.5 112.0 109.0 112.0 112.0 113.0 110.5 109.5 116.0 112.0 111.0
## [1693] 115.0 109.0 123.5 111.0 106.0 116.0 109.0 120.0 111.0 116.0 105.0 111.0
## [1705] 112.0 123.0 107.0 114.0 105.5 115.0 114.0 111.5 116.5 101.0 122.5 113.5
## [1717] 110.0 109.0 110.0 109.0 107.5 113.0 109.0 112.0 113.5 124.0 113.0 113.0
## [1729] 113.0 111.0 112.0 116.0 112.0 123.0 116.0 115.0 111.0 129.0 113.0 114.0
## [1741] 118.0 118.0 112.0 112.0 110.5 124.0 122.0 118.0 106.0 114.0 110.0 118.0
## [1753] 108.0 113.0 107.0 110.0 110.5 118.0 118.0 112.0 115.0 115.0 114.0 114.0
## [1765] 113.0 108.0 113.0 105.0 117.5 110.0 114.0 113.0 110.0 112.0 122.0 113.0
## [1777] 108.5 122.0 124.0 117.5 121.0 112.0 115.0 104.0 111.0 109.5 112.5 110.0
## [1789] 112.0 117.0 119.0 113.0 115.0 116.0 117.0 119.0 106.0 108.0 118.5 114.5
## [1801] 121.0 114.0 114.0 109.0 108.0 114.0 117.0 118.0 107.0 118.0 104.0 113.0
## [1813] 112.0 109.0 110.0 119.0 111.0 109.5 108.0 115.5 110.0 112.0 119.0 112.0
## [1825] 115.0 119.5 114.0 114.0 124.0 117.0 118.0 117.0 105.5 115.0 116.0 119.5
## [1837] 110.0 116.0 110.0 119.0 111.0 118.0 120.0 121.5 121.0 112.0 115.5 114.0
## [1849] 112.0 112.0 106.0 113.0 117.0 109.0 111.5 109.5 115.0 108.5 116.0 111.0
## [1861] 110.5 109.0 119.0 118.0 108.0 110.0 107.0 115.5 111.0 122.0 108.0 110.0
## [1873] 115.0 105.5 104.5 116.0 110.5 108.0 110.0 107.0 122.0 127.0 113.0 114.0
## [1885] 115.0 104.0 118.0 118.0 126.0 115.0 114.0 113.5 118.0 103.5 112.5 119.0
## [1897] 110.0 108.0 109.5 108.0 121.0 124.5 114.0 120.5 114.0 110.5 117.0 124.0
## [1909] 106.0 109.0 119.0 114.0 113.0 111.5 115.0 110.5 114.0 116.5 114.0 109.0
## [1921] 125.0 110.5 117.5 106.0 122.0 114.0 115.0 120.0 112.0 109.0 118.5 117.0
## [1933] 108.5 116.0 114.0 121.0 116.0 119.0 118.0 104.0 113.0 109.0 117.5 115.0
## [1945] 108.0 114.5 117.0 116.0 122.0 112.0 120.0 113.0 112.0 115.0 114.0 102.0
## [1957] 118.0 110.0 114.0 113.0 114.0 119.0 115.0 107.0 113.0 112.0 110.0 119.0
## [1969] 114.5 112.0 104.0 111.5 107.0 113.5 109.5 103.0 113.0 106.0 117.0 106.0
## [1981] 111.0 121.0 113.0 122.0 102.0 118.0 122.0 115.5 113.0 121.0 110.0 109.0
## [1993] 109.5 117.0 113.0 119.0 109.0 109.0 113.0 111.0 117.5 119.0 114.0 117.0
## [2005] 112.0 112.0 114.0 115.0 112.0 115.0 125.0 114.0 105.0 114.5 115.0 115.0
## [2017] 114.5 114.0 109.5 117.0 116.0 114.0 116.0 114.0 104.5 121.0 115.0 113.0
## [2029] 110.0 114.0 113.0 122.5 120.0 116.0 108.0 111.0 109.5 106.0 118.0 111.0
## [2041] 107.0 115.0 120.0 118.0 118.0 115.5 117.0 108.0 112.0 112.0 108.5 114.0
## [2053] 115.0 114.0 110.0 121.0 113.0 117.0 119.0 119.0 117.0 115.5 115.0 117.5
## [2065] 113.5 117.0 116.0 116.0 109.0 116.0 108.5 124.0 112.0 108.0 106.0 115.0
## [2077] 110.0 109.0 121.0 104.0 112.0 106.0 109.0 119.0 116.0 121.0 108.0 112.0
## [2089] 113.0 115.0 107.0 106.0 110.5 125.5 111.0 115.5 119.0 122.0 118.0 116.5
## [2101] 111.0 116.5 111.5 111.0 115.0 120.0 104.0 107.0 110.0 117.0 116.5 112.0
## [2113] 115.0 113.0 139.0 112.0 114.0 109.0 115.5 116.0 115.0 108.0 112.5 112.0
## [2125] 114.5 106.0 115.0 123.0 116.0 117.0 123.0 110.0 116.5 114.0 114.5 116.0
## [2137] 110.0 124.0 102.0 110.0 113.0 114.0 109.0 105.0 109.0 119.0 116.0 113.0
## [2149] 111.0 109.0 109.0 114.0 107.0 124.5 115.0 103.0 101.0 107.0 108.0 106.0
## [2161] 106.0 113.0 105.5 112.0 114.5 121.5 108.0 114.0 115.0 123.0 109.5 113.5
## [2173] 106.5 114.0 116.5 117.5 104.0 120.0 118.0 110.0 105.0 115.0 115.0 119.0
## [2185] 111.0 119.0 114.5 115.0 119.0 110.0 114.0 125.0 108.0 110.0 113.0 113.0
## [2197] 120.0 117.0 113.0 112.0 109.0 112.0 124.5 113.0 107.0 111.0 113.0 108.0
## [2209] 114.0 111.5 108.0 105.0 120.0 108.0 111.0 112.0 109.5 118.5 110.0 116.0
## [2221] 119.0 117.0 117.0 117.0 115.0 110.0 117.5 118.0 118.0 110.0 119.5 113.0
## [2233] 118.0 122.5 109.5 113.0 112.0 115.0 115.0 118.0 107.5 109.0 118.0 101.0
## [2245] 123.0 115.0 114.0 121.0 114.0 116.0 115.0 106.0 114.0 117.0 108.0 112.5
## [2257] 102.0 112.0 117.0 117.0 104.0 111.0 118.0 117.5 112.0 118.5 119.0 121.0
## [2269] 115.5 115.0 106.0 113.0 110.0 111.0 118.0 119.5 114.0 116.0 113.0 120.0
## [2281] 116.0 110.0 116.0 118.0 116.0 114.0 120.0 115.0 108.0 109.5 111.0 115.0
## [2293] 116.0 114.0 122.5 113.5 115.5 112.0 113.0 115.5 121.0 111.0 112.0 114.0
## [2305] 113.0 118.5 115.0 108.0 119.5 112.0 110.5 114.0 122.0 108.0 114.5 106.0
## [2317] 113.0 112.0 106.0 119.0 110.0 116.5 120.5 115.0 117.0 113.0 105.0 119.0
## [2329] 117.0 112.5 121.0 113.5 122.0 107.0 110.0 103.0 109.0 113.0 110.0 107.0
## [2341] 113.0 119.0 105.0 115.0 117.0 108.0 113.0 103.0 118.0 112.0 123.0 110.5
## [2353] 111.0 115.0 111.0 122.5 108.5 111.0 113.5 112.0 115.0 121.0 109.0 104.0
## [2365] 115.0 116.5 113.0 111.0 121.5 116.0 109.5 112.0 121.0 108.0 121.5 115.0
## [2377] 111.5 106.0 118.5 121.5 114.0 114.0 113.0 117.0 118.5 110.0 128.0 110.0
## [2389] 110.5 117.0 106.5 111.0 115.0 114.0 115.5 115.0 111.5 116.5 110.0 104.5
## [2401] 116.5 113.0 113.0 110.0 119.5 114.0 116.0 107.0 113.0 118.0 112.0 113.5
## [2413] 106.0 115.0 112.0 116.0 117.0 119.0 114.0 109.0 113.0 119.0 117.0 112.0
## [2425] 121.5 105.0 105.0 118.0 112.0 107.0 111.0 112.0 111.5 114.0 110.0 114.0
## [2437] 111.0 114.5 117.0 119.5 110.0 112.0 126.0 125.0 115.5 111.0 110.0 115.0
## [2449] 110.0 117.0 123.0 102.0 105.0 109.0 115.0 116.0 110.0 116.0 121.0 118.0
## [2461] 112.0 114.0 119.0 108.0 115.0 111.0 116.5 115.0 113.0 118.0 115.0 111.5
## [2473] 114.0 105.5 112.0 115.0 112.0 109.0 111.0 116.5 113.0 115.0 117.0 118.0
## [2485] 116.0 120.0 111.0 111.0 113.5 108.0 105.0 110.0 107.0 115.5 108.0 111.0
## [2497] 115.0 115.0 116.0 118.0 119.0 107.0 118.0 121.0 112.0 110.0 120.0 114.0
## [2509] 120.0 112.0 112.0 113.0 122.0 109.0 108.0  99.0 117.5 122.0 106.0 125.0
## [2521] 111.5 111.0 124.0 112.0 112.0 107.5 115.0 113.0 104.0 118.0 103.0 108.0
## [2533] 118.0 116.0 116.0 118.5 118.0 115.5 116.0 115.5 109.0 113.5 117.0 107.0
## [2545] 114.5 117.5 119.0 108.5 114.0 119.0 112.0 109.0 107.0 117.0 111.0 109.0
## [2557] 112.0 118.5 120.0 112.0 108.0 123.5 118.0 104.5 113.0 113.0 115.0 107.0
## [2569] 115.5 115.5 114.0 109.0 112.0 116.0 113.0 115.0 115.0 112.0 114.0 113.0
## [2581] 115.0 111.0 116.0 123.5 112.0 114.5 119.0 106.5 116.0 114.0 117.5 122.0
## [2593] 117.0 112.0 110.0 116.0 111.0 107.0 116.0 106.0 102.0 108.0 112.0 117.0
## [2605] 120.0 106.0 115.0 117.0 109.0 118.0 118.0 108.5 115.0 114.0 119.0 117.0
## [2617] 115.0 108.0 110.0 113.0 113.0 107.0 122.0 109.0 115.0 110.0 108.0 118.0
## [2629] 115.0 114.0 114.5 120.0 119.0 116.0 117.5 107.0 109.0 114.5 114.0 112.5
## [2641] 107.0 107.5 118.0 116.0 117.0 109.0 108.0 114.0 105.0 106.0 111.5 112.0
## [2653] 112.0 113.0 105.5 112.0 107.0 116.0 119.5 103.0 112.0 116.0 123.5 115.0
## [2665] 104.0 114.0 114.0 110.0 119.0 109.5 113.0 114.0 114.0 120.0 117.0 116.0
## [2677] 119.5 113.0 114.0 119.0 109.0 107.0 117.0 114.0 119.0 115.0 105.0 113.0
## [2689] 116.0 108.0 118.0 108.0 114.0 110.0 112.0 117.0 114.0 113.5 109.0 124.0
## [2701] 119.0 111.0 108.0 113.0 114.5 123.0 111.0 110.5 116.0 115.0 113.0 116.0
## [2713] 118.0 114.0 118.0 112.0 117.0 114.0 110.0 109.0 120.0 116.0 123.0 117.0
## [2725] 117.0 122.5 109.0 109.0 118.0 109.0 112.0 114.0 107.0 113.0 113.0 108.0
## [2737] 115.5 110.0 114.0 116.0 116.0 117.0 122.0 123.0 115.0 108.0 111.5 111.0
## [2749] 104.0 112.5 119.0 111.0 115.0 113.5 112.5 118.0 111.5 120.0 109.0 114.5
## [2761] 113.0 108.0 118.0 115.5 123.0 111.5 112.0 120.0 113.0 116.0 120.0 112.0
## [2773] 107.0 111.0 105.0 119.0 121.0 105.5 109.0 113.5 117.0 110.0 103.0 111.5
## [2785] 114.0 110.0 113.0 114.0 113.0 118.0 118.0 112.0 119.0 121.0 111.0 111.0
## [2797] 116.0 111.0 112.0 111.0 121.0 106.5 119.0 104.5 115.0 113.0 114.0 114.5
## [2809] 119.0 116.0 111.0 122.0 109.0 118.5 107.0 111.0 115.0 119.5 114.0 117.0
## [2821] 110.5 118.0 113.0 112.0 118.0 111.0 110.0 108.0 112.0 110.0 112.0 111.0
## [2833] 113.0 112.0 110.0 122.0 116.5 101.5 127.0 107.0 116.0 114.0 108.0 111.0
## [2845] 113.0 114.5 118.5 124.0 111.0 117.0 110.5 108.0 115.0 111.0 108.0 117.0
## [2857] 112.5 107.5 111.0 112.0 111.5 121.0 110.0 116.0 107.0 120.0 114.0 118.0
## [2869] 109.0 111.0 117.0 107.0 106.0 112.0 105.0 116.0 112.0 109.5 115.5 110.0
## [2881] 111.5 113.5 115.0 114.0 118.0 115.5 120.0 107.0 112.5 114.5 119.0

fraCUMrH= cumsum(rH[rH>110])/sum(rH) ; fraCUM

##    [1] 0.0003438047 0.0006967369 0.0010618392 0.0014299840 0.0017768312
##    [6] 0.0021267209 0.0025161634 0.0028751806 0.0032129003 0.0035688750
##   [11] 0.0039491899 0.0043234198 0.0046641819 0.0050231992 0.0053852590
##   [16] 0.0057321062 0.0060972085 0.0064531832 0.0068000304 0.0071499201
##   [21] 0.0074906823 0.0078405720 0.0082087168 0.0085494790 0.0088871986
##   [26] 0.0092523009 0.0096234882 0.0099733780 0.0103232677 0.0106670723
##   [31] 0.0110260896 0.0113881494 0.0117410816 0.0120879288 0.0124621587
##   [36] 0.0128181334 0.0131588956 0.0135300829 0.0138708451 0.0142116072
##   [41] 0.0145554119 0.0148961740 0.0152369362 0.0155776983 0.0159397581
##   [46] 0.0162805203 0.0166486651 0.0169955123 0.0173454020 0.0177013767
##   [51] 0.0180390964 0.0184148475 0.0187586522 0.0190978931 0.0194538678
##   [56] 0.0197976725 0.0201353921 0.0204761543 0.0208321290 0.0211789762
##   [61] 0.0215166958 0.0218559367 0.0221936563 0.0225359398 0.0228949570
##   [66] 0.0232418042 0.0235825664 0.0239324561 0.0242686544 0.0246124591
##   [71] 0.0249562638 0.0252939834 0.0256438731 0.0259937628 0.0263345250
##   [76] 0.0267178824 0.0270753784 0.0274511295 0.0277979767 0.0281509090
##   [81] 0.0284901498 0.0288369970 0.0291777592 0.0295489465 0.0298957937
##   [86] 0.0302593748 0.0305955731 0.0309393778 0.0312831825 0.0316269871
##   [91] 0.0319738343 0.0323602343 0.0327070815 0.0330706625 0.0334266373
##   [96] 0.0337704419 0.0341081616 0.0344717426 0.0348307599 0.0351745645
##  [101] 0.0355122842 0.0358621739 0.0361998935 0.0365710809 0.0369148855
##  [106] 0.0372602115 0.0376222712 0.0379691184 0.0383068381 0.0386658553
##  [111] 0.0390157450 0.0393869324 0.0397368221 0.0400730205 0.0404229102
##  [116] 0.0407636723 0.0411120408 0.0414680155 0.0418102989 0.0421693162
##  [121] 0.0425070358 0.0428569255 0.0432083365 0.0435460561 0.0438868183
##  [126] 0.0442306230 0.0445805127 0.0449212748 0.0452802921 0.0456286605
##  [131] 0.0459663802 0.0463025785 0.0466646383 0.0470388682 0.0473857154
##  [136] 0.0477705941 0.0481341751 0.0484779798 0.0488217844 0.0491944930
##  [141] 0.0495535103 0.0499018788 0.0502472047 0.0505940519 0.0509485054
##  [146] 0.0513075226 0.0516634974 0.0520209934 0.0523617555 0.0527177303
##  [151] 0.0530615350 0.0534068609 0.0537461018 0.0540975127 0.0544595725
##  [156] 0.0548551000 0.0552110748 0.0555609645 0.0559306306 0.0562713927
##  [161] 0.0566228037 0.0569955123 0.0573530083 0.0577150681 0.0580588727
##  [166] 0.0584239751 0.0587753860 0.0591344033 0.0594736442 0.0598265764
##  [171] 0.0601947212 0.0605385259 0.0609097132 0.0612474329 0.0616034076
##  [176] 0.0619532973 0.0623123146 0.0626530767 0.0630060090 0.0633711113
##  [181] 0.0637422986 0.0641013159 0.0644846733 0.0648223929 0.0652057504
##  [186] 0.0655693314 0.0659176999 0.0662645470 0.0666053092 0.0669658477
##  [191] 0.0673172587 0.0676777972 0.0680307294 0.0683775766 0.0687213813
##  [196] 0.0690773561 0.0694272458 0.0697877843 0.0701513653 0.0704936487
##  [201] 0.0708298471 0.0711827793 0.0715189777 0.0718658249 0.0722126721
##  [206] 0.0725656043 0.0729124515 0.0732684263 0.0736213585 0.0739651632
##  [211] 0.0743211379 0.0746831977 0.0750330874 0.0753951472 0.0757602495
##  [216] 0.0761040542 0.0764721990 0.0768160037 0.0771719784 0.0775157831
##  [221] 0.0778839279 0.0782399026 0.0785806648 0.0789427246 0.0792804442
##  [226] 0.0796303339 0.0799923937 0.0803666236 0.0807256408 0.0810998707
##  [231] 0.0814497604 0.0818087777 0.0821556249 0.0825298547 0.0828858295
##  [236] 0.0832418042 0.0835825664 0.0839202860 0.0842671332 0.0846139804
##  [241] 0.0849517000 0.0853015897 0.0856423519 0.0859815928 0.0863314825
##  [246] 0.0866996273 0.0870586446 0.0874054917 0.0877675515 0.0881478664
##  [251] 0.0885038412 0.0888415608 0.0891960143 0.0895519890 0.0898912299
##  [256] 0.0902304708 0.0905940519 0.0909408991 0.0912953526 0.0916513273
##  [261] 0.0920194721 0.0923617555 0.0927390279 0.0930919601 0.0934418499
##  [266] 0.0938115159 0.0941477143 0.0945189017 0.0948596638 0.0952323724
##  [271] 0.0955792196 0.0959382369 0.0962850840 0.0966471438 0.0969848635
##  [276] 0.0973347532 0.0976846429 0.0980314901 0.0983996349 0.0987601734
##  [281] 0.0991039781 0.0994401765 0.0997961512 0.1001627748 0.1005157070
##  [286] 0.1008853731 0.1012550392 0.1016110139 0.1019487336 0.1023031870
##  [291] 0.1026485130 0.1029953602 0.1033604625 0.1037073097 0.1040663269
##  [296] 0.1044131741 0.1047706701 0.1051266449 0.1054826196 0.1058416369
##  [301] 0.1061945691 0.1065475013 0.1068882635 0.1072685784 0.1076306382
##  [306] 0.1079835704 0.1083273751 0.1087016049 0.1090575797 0.1094013843
##  [311] 0.1097421465 0.1100981212 0.1104388834 0.1108100707 0.1111569179
##  [316] 0.1114976801 0.1118399635 0.1122050658 0.1125564768 0.1129002814
##  [321] 0.1132532137 0.1135970183 0.1139529931 0.1143272229 0.1146710276
##  [326] 0.1150452575 0.1154012322 0.1157450369 0.1160918841 0.1164326462
##  [331] 0.1167703659 0.1171232981 0.1174640602 0.1178291625 0.1182033924
##  [336] 0.1185761010 0.1189122994 0.1192637104 0.1196075150 0.1199589260
##  [341] 0.1203240283 0.1206982582 0.1210511904 0.1214193352 0.1217874800
##  [346] 0.1221343272 0.1224781319 0.1228249791 0.1231748688 0.1235125884
##  [351] 0.1238670419 0.1242214954 0.1245653001 0.1249410512 0.1253046322
##  [356] 0.1256560432 0.1260135392 0.1263558226 0.1267178824 0.1270708146
##  [361] 0.1274176618 0.1277584240 0.1280946223 0.1284323420 0.1287883167
##  [366] 0.1291610253 0.1295261276 0.1298942725 0.1302563322 0.1306092645
##  [371] 0.1309561117 0.1312983951 0.1316421997 0.1319829619 0.1323267666
##  [376] 0.1326705712 0.1330219822 0.1333749144 0.1337156766 0.1340746938
##  [381] 0.1344306686 0.1347744733 0.1351365330 0.1354955503 0.1358545676
##  [386] 0.1362014148 0.1365573895 0.1369027154 0.1372678178 0.1376085799
##  [391] 0.1379767247 0.1383296570 0.1386947593 0.1390568190 0.1394006237
##  [396] 0.1397444284 0.1401247433 0.1404868031 0.1408488629 0.1412109226
##  [401] 0.1415516848 0.1418954895 0.1422651555 0.1426028752 0.1429679775
##  [406] 0.1433148247 0.1436662356 0.1440161254 0.1443538450 0.1447037347
##  [411] 0.1450642732 0.1454187267 0.1457838290 0.1461489313 0.1465201187
##  [416] 0.1468852210 0.1472305469 0.1475758728 0.1479409751 0.1482878223
##  [421] 0.1486468396 0.1490301970 0.1493679166 0.1497330189 0.1500737811
##  [426] 0.1504388834 0.1508009432 0.1511417053 0.1514824675 0.1518414847
##  [431] 0.1521807256 0.1525397429 0.1529002814 0.1532380011 0.1535924546
##  [436] 0.1539453868 0.1543287442 0.1546786339 0.1550285236 0.1553753708
##  [441] 0.1557328668 0.1560842778 0.1564235187 0.1567764509 0.1571248194
##  [446] 0.1574899217 0.1578428539 0.1581942649 0.1585441546 0.1589001293
##  [451] 0.1592469765 0.1595923024 0.1599361071 0.1602829543 0.1606389290
##  [456] 0.1609903400 0.1613311022 0.1616718643 0.1620095839 0.1623625162
##  [461] 0.1627154484 0.1630653381 0.1634106640 0.1637544687 0.1641104434
##  [466] 0.1644633757 0.1648010953 0.1651418575 0.1655221724 0.1658720621
##  [471] 0.1662189093 0.1665748840 0.1669156462 0.1672564083 0.1675926067
##  [476] 0.1679485814 0.1682984711 0.1686574884 0.1690271545 0.1693709592
##  [481] 0.1697071575 0.1700540047 0.1703932456 0.1707400928 0.1710808549
##  [486] 0.1714429147 0.1717958470 0.1721366091 0.1724895413 0.1728424736
##  [491] 0.1732106184 0.1735757207 0.1739210466 0.1742785426 0.1746162623
##  [496] 0.1749631095 0.1753129992 0.1756568038 0.1760021298 0.1763428919
##  [501] 0.1766897391 0.1770365863 0.1774229862 0.1777880885 0.1781501483
##  [506] 0.1784939530 0.1788560128 0.1792074237 0.1795603560 0.1799148095
##  [511] 0.1802768692 0.1806282802 0.1809812124 0.1813295809 0.1816749068
##  [516] 0.1820156690 0.1823564311 0.1826971933 0.1830531680 0.1834000152
##  [521] 0.1837590325 0.1841210923 0.1844618544 0.1848178292 0.1851646764
##  [526] 0.1855236936 0.1858644558 0.1862234730 0.1865596714 0.1869293375
##  [531] 0.1872731422 0.1876352019 0.1879714003 0.1883228113 0.1886727010
##  [536] 0.1890378033 0.1893785655 0.1897467103 0.1900905149 0.1904677873
##  [541] 0.1908146345 0.1911614817 0.1915174565 0.1918703887 0.1922476611
##  [546] 0.1926158059 0.1929687381 0.1933277554 0.1936761238 0.1940351411
##  [551] 0.1943728607 0.1947379630 0.1950908953 0.1954651251 0.1958271849
##  [556] 0.1961755534 0.1965163155 0.1968601202 0.1972373926 0.1975781547
##  [561] 0.1979371720 0.1982840192 0.1986217388 0.1989609797 0.1993169544
##  [566] 0.1996577166 0.2000045638 0.2003666236 0.2007317259 0.2010968282
##  [571] 0.2014406328 0.2017935651 0.2021388910 0.2024887807 0.2028401917
##  [576] 0.2031931239 0.2035399711 0.2038837758 0.2042427930 0.2045957253
##  [581] 0.2049532213 0.2053000685 0.2056560432 0.2060089754 0.2063558226
##  [586] 0.2067391800 0.2071012398 0.2074404807 0.2077873279 0.2081600365
##  [591] 0.2085084050 0.2088613372 0.2092020993 0.2095459040 0.2099140488
##  [596] 0.2102700236 0.2106077432 0.2109652392 0.2113181714 0.2116771887
##  [601] 0.2120149083 0.2123769681 0.2127268578 0.2130950027 0.2134312010
##  [606] 0.2137780482 0.2141279379 0.2144991253 0.2148581425 0.2152049897
##  [611] 0.2155700920 0.2159199817 0.2162622652 0.2166060698 0.2169468320
##  [616] 0.2172830303 0.2176268350 0.2180010649 0.2183387845 0.2186947593
##  [621] 0.2190507340 0.2193960599 0.2197550772 0.2200958394 0.2204366015
##  [626] 0.2207804062 0.2211424660 0.2214893132 0.2218361603 0.2221906138
##  [631] 0.2225268122 0.2228767019 0.2232129003 0.2235719175 0.2239233285
##  [636] 0.2242610481 0.2246094166 0.2249806039 0.2253457062 0.2257047235
##  [641] 0.2260667833 0.2264197155 0.2267559139 0.2271331863 0.2274709059
##  [646] 0.2278299232 0.2281737278 0.2285266601 0.2289054537 0.2292568647
##  [651] 0.2296204457 0.2299642504 0.2303171826 0.2306898912 0.2310306534
##  [656] 0.2313805431 0.2317213052 0.2320833650 0.2324332547 0.2327694531
##  [661] 0.2331254279 0.2334661900 0.2338160797 0.2341811820 0.2345189017
##  [666] 0.2348657488 0.2352095535 0.2355594432 0.2359062904 0.2362424888
##  [671] 0.2366045486 0.2369605233 0.2373225831 0.2376785578 0.2380193200
##  [676] 0.2383844223 0.2387282270 0.2390750742 0.2394158363 0.2397596410
##  [681] 0.2401217008 0.2404761543 0.2408290865 0.2411881037 0.2415425572
##  [686] 0.2418909257 0.2422286453 0.2425922264 0.2429329885 0.2432767932
##  [691] 0.2436647144 0.2440085191 0.2443477599 0.2446946071 0.2450384118
##  [696] 0.2453852590 0.2457214574 0.2460683046 0.2464197155 0.2467665627
##  [701] 0.2471194949 0.2474602571 0.2478101468 0.2481509090 0.2484886286
##  [706] 0.2488415608 0.2491884080 0.2495382977 0.2498881874 0.2502441622
##  [711] 0.2505970944 0.2509591542 0.2512968738 0.2516376360 0.2519920895
##  [716] 0.2523419792 0.2526888263 0.2530311098 0.2533931695 0.2537369742
##  [721] 0.2541203316 0.2544808702 0.2548277173 0.2551806496 0.2555244542
##  [726] 0.2558621739 0.2562120636 0.2565513045 0.2569179280 0.2572571689
##  [731] 0.2576161862 0.2579569484 0.2583083593 0.2586795467 0.2590157450
##  [736] 0.2593565072 0.2597079182 0.2600882331 0.2604381228 0.2607849700
##  [741] 0.2611652849 0.2615303872 0.2618772344 0.2622149540 0.2625800563
##  [746] 0.2629269035 0.2632798357 0.2636236404 0.2639948277 0.2643477599
##  [751] 0.2647113410 0.2650521031 0.2654172054 0.2657579676 0.2661139423
##  [756] 0.2664729596 0.2668228493 0.2671940367 0.2675591390 0.2679272838
##  [761] 0.2682710885 0.2686194569 0.2689906443 0.2693435765 0.2697025937
##  [766] 0.2700616110 0.2704175858 0.2707583479 0.2711112801 0.2714733399
##  [771] 0.2718293147 0.2721731193 0.2725473492 0.2729154940 0.2732532137
##  [776] 0.2736000609 0.2739712482 0.2743089678 0.2746603788 0.2750300449
##  [781] 0.2753814558 0.2757435156 0.2761055754 0.2764554651 0.2768190462
##  [786] 0.2771780634 0.2775462083 0.2779097893 0.2782627215 0.2786095687
##  [791] 0.2789685860 0.2793093481 0.2796501103 0.2800091276 0.2803681448
##  [796] 0.2807134708 0.2810603179 0.2813980376 0.2817570548 0.2821145508
##  [801] 0.2824766106 0.2828173728 0.2831581349 0.2835080246 0.2838822545
##  [806] 0.2842443143 0.2846215867 0.2849775614 0.2853517913 0.2856955960
##  [811] 0.2860515707 0.2864045029 0.2867696052 0.2871316650 0.2875028524
##  [816] 0.2878664334 0.2882345782 0.2885783829 0.2889328364 0.2892735985
##  [821] 0.2896356583 0.2899916331 0.2903415228 0.2907066251 0.2910565148
##  [826] 0.2914124895 0.2917745493 0.2921274816 0.2924743287 0.2928150909
##  [831] 0.2931725869 0.2935133491 0.2938601962 0.2942100860 0.2945508481
##  [836] 0.2948992166 0.2952399787 0.2955929109 0.2959367156 0.2962835628
##  [841] 0.2966197612 0.2969605233 0.2973210618 0.2976587815 0.2980025861
##  [846] 0.2983585609 0.2987175782 0.2990674679 0.2994173576 0.2997672473
##  [851] 0.3001156157 0.3004639842 0.3008169164 0.3011820187 0.3015182171
##  [856] 0.3018726706 0.3022286453 0.3025694075 0.3029314673 0.3032874420
##  [861] 0.3036373317 0.3040024340 0.3043523237 0.3047082985 0.3050703583
##  [866] 0.3054232905 0.3057701377 0.3061108998 0.3064683958 0.3068091580
##  [871] 0.3071560052 0.3075058949 0.3078466570 0.3081950255 0.3085357876
##  [876] 0.3088887199 0.3092325245 0.3095793717 0.3099657717 0.3103065338
##  [881] 0.3106533810 0.3109911006 0.3113470754 0.3117091352 0.3120559824
##  [886] 0.3124210847 0.3127801019 0.3131391192 0.3134950939 0.3138601962
##  [891] 0.3141979159 0.3145447631 0.3148885677 0.3152567126 0.3156096448
##  [896] 0.3159473644 0.3162850840 0.3166258462 0.3169696509 0.3173073705
##  [901] 0.3176876854 0.3180360539 0.3183859436 0.3187540884 0.3191131057
##  [906] 0.3194782080 0.3198372252 0.3201810299 0.3205187495 0.3208655967
##  [911] 0.3212124439 0.3215562486 0.3219091808 0.3222681981 0.3226180878
##  [916] 0.3229558074 0.3233148247 0.3236555868 0.3240085191 0.3243477599
##  [921] 0.3246885221 0.3250505819 0.3253913440 0.3257366700 0.3260743896
##  [926] 0.3264151517 0.3267680840 0.3271271012 0.3274952461 0.3278694759
##  [931] 0.3282284932 0.3285814254 0.3289252301 0.3292720773 0.3296250095
##  [936] 0.3299748992 0.3303339165 0.3306716361 0.3310215258 0.3313592455
##  [941] 0.3317000076 0.3320590249 0.3324058721 0.3327557618 0.3331056515
##  [946] 0.3334950939 0.3338419411 0.3341933521 0.3345432418 0.3349174717
##  [951] 0.3352856165 0.3356568038 0.3359945235 0.3363413707 0.3366973454
##  [956] 0.3370502776 0.3374184225 0.3377652696 0.3381212444 0.3384863467
##  [961] 0.3388331939 0.3391800411 0.3395299308 0.3398767780 0.3402297102
##  [966] 0.3405765574 0.3409294896 0.3412976344 0.3416505667 0.3419943713
##  [971] 0.3423716437 0.3427184909 0.3430683806 0.3434121853 0.3437681600
##  [976] 0.3441089222 0.3444512056 0.3448087016 0.3451540275 0.3454917472
##  [981] 0.3458416369 0.3461823990 0.3465322887 0.3468791359 0.3472275044
##  [986] 0.3475682665 0.3479166350 0.3482786948 0.3486164144 0.3489617403
##  [991] 0.3493085875 0.3496539134 0.3500038031 0.3503643417 0.3507294440
##  [996] 0.3510702061 0.3514489998 0.3518141021 0.3521518217 0.3525001902
## [1001] 0.3528561649 0.3531938845 0.3535498593 0.3539103978 0.3543028828
## [1006] 0.3546679851 0.3550361299 0.3553875409 0.3557435156 0.3560873203
## [1011] 0.3564280825 0.3567642808 0.3571217768 0.3574671028 0.3578078649
## [1016] 0.3581501483 0.3585304632 0.3589062143 0.3592971781 0.3596379402
## [1021] 0.3600045638 0.3603422834 0.3606952156 0.3610527116 0.3614178139
## [1026] 0.3617890013 0.3621358485 0.3624826957 0.3628310641 0.3631992089
## [1031] 0.3635536624 0.3639172435 0.3643082072 0.3646672245 0.3650262417
## [1036] 0.3653639614 0.3657168936 0.3660667833 0.3664105880 0.3667543926
## [1041] 0.3671134099 0.3674572146 0.3678025405 0.3681752491 0.3685144900
## [1046] 0.3688932836 0.3692507796 0.3696006694 0.3699764205 0.3703202251
## [1051] 0.3706853275 0.3710413022 0.3714094470 0.3717562942 0.3720985776
## [1056] 0.3724484673 0.3728090059 0.3731558530 0.3734996577 0.3738708451
## [1061] 0.3742100860 0.3745523694 0.3748900890 0.3752354149 0.3755837834
## [1066] 0.3759458432 0.3762866053 0.3766456226 0.3769939910 0.3773362744
## [1071] 0.3776937704 0.3780497452 0.3783965924 0.3787525671 0.3790994143
## [1076] 0.3794523465 0.3798113638 0.3801825512 0.3805202708 0.3808671180
## [1081] 0.3812048376 0.3815638549 0.3819046170 0.3822636343 0.3826135240
## [1086] 0.3829694987 0.3833193885 0.3836814482 0.3840374230 0.3843857914
## [1091] 0.3847417662 0.3850855709 0.3854263330 0.3857762227 0.3861413250
## [1096] 0.3864820872 0.3868213281 0.3871773028 0.3875226287 0.3878649121
## [1101] 0.3882056743 0.3885631703 0.3888993687 0.3892614285 0.3896113182
## [1106] 0.3899596866 0.3903095763 0.3906503385 0.3909971857 0.3913562029
## [1111] 0.3917121777 0.3920590249 0.3923997870 0.3927527193 0.3931117365
## [1116] 0.3934646687 0.3938206435 0.3941827033 0.3945265079 0.3948703126
## [1121] 0.3952110748 0.3955670495 0.3959291093 0.3963185518 0.3966562714
## [1126] 0.3969970335 0.3973438807 0.3976907279 0.3980482239 0.3984087625
## [1131] 0.3987586522 0.3990994143 0.3994432190 0.3998022363 0.4001429984
## [1136] 0.4004837606 0.4008336503 0.4011713699 0.4015243021 0.4018620218
## [1141] 0.4022027839 0.4025633224 0.4029192972 0.4032889633 0.4036373317
## [1146] 0.4039735301 0.4043203773 0.4046961284 0.4050734008 0.4054308968
## [1151] 0.4057716589 0.4061124211 0.4064623108 0.4068152430 0.4071666540
## [1156] 0.4075074161 0.4078512208 0.4082011105 0.4085510002 0.4089115388
## [1161] 0.4092523009 0.4096082757 0.4099581654 0.4102989275 0.4106351259
## [1166] 0.4109728455 0.4113196927 0.4116695824 0.4120270784 0.4123921807
## [1171] 0.4127390279 0.4130858751 0.4134448924 0.4138054309 0.4141522781
## [1176] 0.4144915190 0.4148429299 0.4151989047 0.4155472731 0.4159002054
## [1181] 0.4162516163 0.4165908572 0.4169361832 0.4172754241 0.4176435689
## [1186] 0.4179797672 0.4183479121 0.4187023656 0.4190735529 0.4194280064
## [1191] 0.4197778961 0.4201247433 0.4204624629 0.4208001826 0.4211591998
## [1196] 0.4215227809 0.4218696281 0.4222423367 0.4225907051 0.4229375523
## [1201] 0.4233148247 0.4236707994 0.4240313379 0.4243812277 0.4247235111
## [1206] 0.4250916559 0.4254506732 0.4258005629 0.4261580589 0.4265018635
## [1211] 0.4268441470 0.4271955579 0.4275378413 0.4278983799 0.4282726097
## [1216] 0.4286346695 0.4289967293 0.4293329277 0.4297025937 0.4300798661
## [1221] 0.4304282346 0.4307735605 0.4311280140 0.4315068076 0.4318521336
## [1226] 0.4321959382 0.4325367004 0.4328957177 0.4332334373 0.4335833270
## [1231] 0.4339225679 0.4342815852 0.4346299536 0.4349737583 0.4353434244
## [1236] 0.4356811440 0.4360629801 0.4363991785 0.4367353769 0.4370852666
## [1241] 0.4374229862 0.4377667909 0.4381105956 0.4384620065 0.4387997262
## [1246] 0.4391617860 0.4395192820 0.4398630866 0.4402342740 0.4406115464
## [1251] 0.4409583935 0.4413143683 0.4416642580 0.4420111052 0.4423518673
## [1256] 0.4427139271 0.4430668594 0.4434410892 0.4438305317 0.4441773789
## [1261] 0.4445303111 0.4449014984 0.4452726858 0.4456347456 0.4459937628
## [1266] 0.4463375675 0.4466783297 0.4470160493 0.4473811516 0.4477401689
## [1271] 0.4480991861 0.4484429908 0.4488050506 0.4491671104 0.4495078725
## [1276] 0.4498577622 0.4502289496 0.4505727542 0.4509287290 0.4512694911
## [1281] 0.4516072108 0.4519540580 0.4522948201 0.4526386248 0.4529824295
## [1286] 0.4533292766 0.4536761238 0.4540412261 0.4544124135 0.4547775158
## [1291] 0.4551456606 0.4555016354 0.4558484825 0.4561983723 0.4565604320
## [1296] 0.4569042367 0.4572541264 0.4575948886 0.4579417358 0.4583159656
## [1301] 0.4586932380 0.4590583403 0.4594082300 0.4597642048 0.4601384346
## [1306] 0.4604761543 0.4608442991 0.4612215715 0.4615836312 0.4619335210
## [1311] 0.4622986233 0.4626515555 0.4630197003 0.4633787176 0.4637346923
## [1316] 0.4641150072 0.4644770670 0.4648360843 0.4651920590 0.4655449913
## [1321] 0.4658857534 0.4662417282 0.4665794478 0.4669293375 0.4672944398
## [1326] 0.4676352019 0.4679729216 0.4683501940 0.4686939986 0.4690317183
## [1331] 0.4693876930 0.4697527953 0.4701239827 0.4704738724 0.4708602723
## [1336] 0.4712284171 0.4716513273 0.4720103446 0.4723571918 0.4727040389
## [1341] 0.4730721838 0.4734129459 0.4737597931 0.4741096828 0.4744474024
## [1346] 0.4748064197 0.4751715220 0.4755427094 0.4758895566 0.4762364037
## [1351] 0.4765802084 0.4769392257 0.4773119343 0.4776922492 0.4780603940
## [1356] 0.4784011562 0.4787571309 0.4791131057 0.4794690804 0.4798128851
## [1361] 0.4801566897 0.4805157070 0.4808564692 0.4811972313 0.4815349509
## [1366] 0.4818848406 0.4822316878 0.4825694075 0.4829162547 0.4832874420
## [1371] 0.4836434167 0.4839811364 0.4843371111 0.4846748308 0.4850216779
## [1376] 0.4853746102 0.4857244999 0.4860743896 0.4864181943 0.4867680840
## [1381] 0.4871179737 0.4874587358 0.4878116681 0.4881524302 0.4884962349
## [1386] 0.4888643797 0.4892355670 0.4895732867 0.4899231764 0.4902791511
## [1391] 0.4906381684 0.4909850156 0.4913349053 0.4917060926 0.4920833650
## [1396] 0.4924362973 0.4928105271 0.4931512893 0.4934981365 0.4938449836
## [1401] 0.4942131285 0.4945508481 0.4949189929 0.4952749677 0.4956187723
## [1406] 0.4959899597 0.4963459344 0.4967049517 0.4970852666 0.4974564539
## [1411] 0.4978306838 0.4981684034 0.4985243782 0.4988651403 0.4992363277
## [1416] 0.4995953449 0.4999421921 0.5003042519 0.5006754393 0.5010435841
## [1421] 0.5013843462 0.5017403210 0.5020871682 0.5024370579 0.5027930326
## [1426] 0.5031490074 0.5035171522 0.5038579144 0.5041986765 0.5045637788
## [1431] 0.5049136685 0.5052787708 0.5056256180 0.5059846353 0.5063375675
## [1436] 0.5066783297 0.5070221343 0.5073902792 0.5077371263 0.5080778885
## [1441] 0.5084186506 0.5087654978 0.5091032175 0.5094500647 0.5097999544
## [1446] 0.5101650567 0.5105058188 0.5108770062 0.5112268959 0.5115707005
## [1451] 0.5119114627 0.5122537461 0.5126127634 0.5129809082 0.5133307979
## [1456] 0.5136776451 0.5140427474 0.5143987221 0.5147668670 0.5151137142
## [1461] 0.5154818590 0.5158195786 0.5161877234 0.5165284856 0.5168753328
## [1466] 0.5172343500 0.5175872823 0.5179919373 0.5183448696 0.5186917167
## [1471] 0.5190355214 0.5193914962 0.5197535559 0.5201156157 0.5204868031
## [1476] 0.5208366928 0.5211835400 0.5215334297 0.5218833194 0.5222392941
## [1481] 0.5225952689 0.5229542861 0.5233011333 0.5236418955 0.5239826576
## [1486] 0.5243508025 0.5246915646 0.5250292842 0.5253761314 0.5257381912
## [1491] 0.5261002510 0.5264440557 0.5267909029 0.5271529627 0.5275089374
## [1496] 0.5278618696 0.5282117593 0.5285616490 0.5289054537 0.5292553434
## [1501] 0.5296174032 0.5299672929 0.5303202251 0.5306640298 0.5310139195
## [1506] 0.5313790218 0.5317228265 0.5320848863 0.5324317335 0.5327907507
## [1511] 0.5331497680 0.5335087853 0.5338525899 0.5342055222 0.5345462843
## [1516] 0.5348840040 0.5352217236 0.5355594432 0.5359154180 0.5362866053
## [1521] 0.5366395375 0.5369955123 0.5373332319 0.5377013767 0.5380390964
## [1526] 0.5383889861 0.5387449608 0.5390887655 0.5394356127 0.5398037575
## [1531] 0.5401445197 0.5404822393 0.5408534266 0.5412063589 0.5415501635
## [1536] 0.5418939682 0.5422408154 0.5425815775 0.5429192972 0.5432570168
## [1541] 0.5436160341 0.5439780939 0.5443158135 0.5446717882 0.5450277630
## [1546] 0.5453837377 0.5457488400 0.5460880809 0.5464562258 0.5468091580
## [1551] 0.5471529627 0.5475028524 0.5478405720 0.5481782916 0.5485251388
## [1556] 0.5488841561 0.5492218757 0.5495595953 0.5499186126 0.5502928425
## [1561] 0.5506396897 0.5509804518 0.5513242565 0.5516893588 0.5520362060
## [1566] 0.5523754469 0.5527648893 0.5531223853 0.5534692325 0.5538206435
## [1571] 0.5541750970 0.5545417205 0.5549022591 0.5552658401 0.5556461550
## [1576] 0.5560112573 0.5563504982 0.5567064730 0.5570700540 0.5574123374
## [1581] 0.5577591846 0.5581136381 0.5584650491 0.5588042900 0.5591526584
## [1586] 0.5595025481 0.5598433103 0.5602084126 0.5605476535 0.5609203621
## [1591] 0.5612732943 0.5616338328 0.5619837225 0.5623244847 0.5626774169
## [1596] 0.5630333916 0.5633802388 0.5637240435 0.5640830608 0.5644299080
## [1601] 0.5647676276 0.5651144748 0.5655008747 0.5658507644 0.5662189093
## [1606] 0.5665718415 0.5669278162 0.5672868335 0.5676306382 0.5679896554
## [1611] 0.5683456302 0.5686924774 0.5690393246 0.5693952993 0.5697360615
## [1616] 0.5700905149 0.5704388834 0.5707872518 0.5711432266 0.5714961588
## [1621] 0.5718399635 0.5722050658 0.5725412642 0.5728881114 0.5732440861
## [1626] 0.5735954971 0.5739484293 0.5742861489 0.5746284323 0.5749859283
## [1631] 0.5753403818 0.5757024416 0.5760645014 0.5764113486 0.5767703659
## [1636] 0.5771354682 0.5774944854 0.5778352476 0.5781851373 0.5785289420
## [1641] 0.5788879592 0.5792591466 0.5796272914 0.5799650110 0.5803209858
## [1646] 0.5806647904 0.5810116376 0.5813676124 0.5817235871 0.5820704343
## [1651] 0.5824264091 0.5827823838 0.5831201034 0.5834699932 0.5838198829
## [1656] 0.5841576025 0.5844983646 0.5848391268 0.5851798889 0.5855297787
## [1661] 0.5858948810 0.5862478132 0.5865855328 0.5869354225 0.5872761847
## [1666] 0.5876321594 0.5879820491 0.5883349814 0.5886818286 0.5890438883
## [1671] 0.5894120332 0.5897558378 0.5900935575 0.5904434472 0.5907872518
## [1676] 0.5911462691 0.5914931163 0.5918338785 0.5921928957 0.5925367004
## [1681] 0.5928987602 0.5932425648 0.5935863695 0.5939271317 0.5942709363
## [1686] 0.5946116985 0.5949494181 0.5952901803 0.5956431125 0.5959838746
## [1691] 0.5963276793 0.5966958241 0.5970426713 0.5974032099 0.5977865673
## [1696] 0.5981486271 0.5984893892 0.5988271088 0.5991952537 0.5995497072
## [1701] 0.5998859055 0.6002327527 0.6005872062 0.6009249258 0.6012854644
## [1706] 0.6016307903 0.6019761162 0.6023138359 0.6026652468 0.6030288279
## [1711] 0.6033650262 0.6037149160 0.6040556781 0.6043949190 0.6047463300
## [1716] 0.6050992622 0.6054461094 0.6058036054 0.6061580589 0.6064988210
## [1721] 0.6068350194 0.6071909941 0.6075332776 0.6078862098 0.6082269719
## [1726] 0.6085677341 0.6089069750 0.6092492584 0.6095991481 0.6099353465
## [1731] 0.6102867574 0.6106457747 0.6110017494 0.6113379478 0.6116878375
## [1736] 0.6120590249 0.6123997870 0.6127405492 0.6130889176 0.6134692325
## [1741] 0.6138221648 0.6141629269 0.6144991253 0.6148642276 0.6152156385
## [1746] 0.6155700920 0.6159123754 0.6162531376 0.6165954210 0.6169331406
## [1751] 0.6172891154 0.6176481327 0.6179980224 0.6183479121 0.6187038868
## [1756] 0.6190507340 0.6194006237 0.6197505134 0.6200912756 0.6204442078
## [1761] 0.6207834487 0.6211302959 0.6214680155 0.6218407241 0.6221875713
## [1766] 0.6225526736 0.6228995208 0.6232554956 0.6235993002 0.6239370199
## [1771] 0.6242838670 0.6246215867 0.6249623488 0.6253122385 0.6256682133
## [1776] 0.6260150605 0.6263740777 0.6267452651 0.6271042823 0.6274511295
## [1781] 0.6277949342 0.6281539515 0.6285281813 0.6288689435 0.6292097056
## [1786] 0.6295565528 0.6299186126 0.6302563322 0.6306092645 0.6309530691
## [1791] 0.6313120864 0.6316558911 0.6319936107 0.6323435004 0.6326812201
## [1796] 0.6330219822 0.6333597018 0.6336974215 0.6340716513 0.6344245836
## [1801] 0.6347623032 0.6351121929 0.6354529550 0.6357998022 0.6361557770
## [1806] 0.6364934966 0.6368433863 0.6371841485 0.6375249106 0.6378687153
## [1811] 0.6382307751 0.6385806648 0.6389183844 0.6392804442 0.6396303339
## [1816] 0.6399741386 0.6403118582 0.6406556629 0.6410025101 0.6413554423
## [1821] 0.6416992470 0.6420430516 0.6423838138 0.6427245759 0.6430714231
## [1826] 0.6434121853 0.6437681600 0.6441241348 0.6444648969 0.6448147866
## [1831] 0.6451646764 0.6455054385 0.6458522857 0.6461960904 0.6465672777
## [1836] 0.6469384650 0.6473157374 0.6476717122 0.6480124743 0.6483562790
## [1841] 0.6487152963 0.6490530159 0.6493968206 0.6497467103 0.6500874724
## [1846] 0.6504404047 0.6507781243 0.6511188864 0.6514779037 0.6518156233
## [1851] 0.6521807256 0.6525169240 0.6528713775 0.6532167034 0.6535757207
## [1856] 0.6539225679 0.6542785426 0.6546223473 0.6549828858 0.6553327755
## [1861] 0.6556917928 0.6560355975 0.6563733171 0.6567688446 0.6571111280
## [1866] 0.6574731878 0.6578200350 0.6581790523 0.6585395908 0.6588833955
## [1871] 0.6592272001 0.6596059938 0.6599650110 0.6603149007 0.6606800030
## [1876] 0.6610283715 0.6613721762 0.6617144596 0.6620597855 0.6624111965
## [1881] 0.6627565224 0.6631033696 0.6634502168 0.6638016277 0.6641576025
## [1886] 0.6645287898 0.6648786795 0.6652376968 0.6656027991 0.6659435613
## [1891] 0.6662873659 0.6666235643 0.6669704115 0.6673111737 0.6676732334
## [1896] 0.6680109531 0.6683730129 0.6687563703 0.6691138663 0.6694576710
## [1901] 0.6698227733 0.6701726630 0.6705225527 0.6708663573 0.6712253746
## [1906] 0.6715676580 0.6719084202 0.6722491823 0.6725960295 0.6729550468
## [1911] 0.6733110215 0.6736837301 0.6740305773 0.6743804670 0.6747273142
## [1916] 0.6750711189 0.6754331787 0.6757921959 0.6761572982 0.6765102305
## [1921] 0.6768631627 0.6772008823 0.6775446870 0.6779219594 0.6782809766
## [1926] 0.6786278238 0.6789807561 0.6793245607 0.6797079182 0.6800593291
## [1931] 0.6804076976 0.6807484597 0.6810877006 0.6814801856 0.6818179052
## [1936] 0.6821586674 0.6824994295 0.6828523618 0.6831961664 0.6835445349
## [1941] 0.6839218073 0.6842656119 0.6846155016 0.6849699551 0.6853198448
## [1946] 0.6856864684 0.6860394006 0.6863877691 0.6867498289 0.6871149312
## [1951] 0.6874648209 0.6878329657 0.6881843767 0.6885464364 0.6888841561
## [1956] 0.6892340458 0.6895748079 0.6899216551 0.6902624173 0.6906123070
## [1961] 0.6909591542 0.6913136077 0.6916665399 0.6920194721 0.6923876169
## [1966] 0.6927466342 0.6930934814 0.6934403286 0.6937963033 0.6941461930
## [1971] 0.6945280292 0.6948718339 0.6952430212 0.6955929109 0.6959382369
## [1976] 0.6962881266 0.6966410588 0.6969848635 0.6973286681 0.6977105043
## [1981] 0.6980512664 0.6984102837 0.6987632159 0.6991009356 0.6994462615
## [1986] 0.6997961512 0.7001429984 0.7004868031 0.7008275652 0.7011941888
## [1991] 0.7015501635 0.7018939682 0.7022529855 0.7026211303 0.7029710200
## [1996] 0.7033269948 0.7036799270 0.7040343805 0.7043903552 0.7047524150
## [2001] 0.7051205598 0.7054658858 0.7058127329 0.7061580589 0.7064957785
## [2006] 0.7068487107 0.7071986004 0.7075469689 0.7079090287 0.7082665247
## [2011] 0.7086072868 0.7089663041 0.7093161938 0.7096691260 0.7100342283
## [2016] 0.7103780330 0.7107142314 0.7110823762 0.7114368297 0.7118080170
## [2021] 0.7121594280 0.7125336579 0.7128698562 0.7132121397 0.7135574656
## [2026] 0.7138951852 0.7142450749 0.7145888796 0.7149372480 0.7153114779
## [2031] 0.7156796227 0.7160386400 0.7164128699 0.7167627596 0.7171339469
## [2036] 0.7174990492 0.7178519814 0.7181897011 0.7185304632 0.7188712254
## [2041] 0.7192332852 0.7195740473 0.7199148095 0.7202586141 0.7206115464
## [2046] 0.7209523085 0.7213113258 0.7216642580 0.7220019776 0.7223518673
## [2051] 0.7226926295 0.7230394767 0.7233863239 0.7237240435 0.7240830608
## [2056] 0.7244329505 0.7247737126 0.7251661976 0.7255404275 0.7259268274
## [2061] 0.7262645470 0.7266083517 0.7269704115 0.7273081311 0.7276793185
## [2066] 0.7280170381 0.7283760554 0.7287259451 0.7290636647 0.7294287670
## [2071] 0.7297725717 0.7301255039 0.7304845212 0.7308557085 0.7312086408
## [2076] 0.7315554879 0.7318992926 0.7322674374 0.7326294972 0.7329702594
## [2081] 0.7333140640 0.7336700388 0.7340442687 0.7343941584 0.7347410056
## [2086] 0.7350969803 0.7354499125 0.7357967597 0.7361329581 0.7364813265
## [2091] 0.7368403438 0.7372024036 0.7375522933 0.7378991405 0.7382490302
## [2096] 0.7385897923 0.7389275120 0.7392682741 0.7396120788 0.7399619685
## [2101] 0.7403118582 0.7406708755 0.7410359778 0.7413889100 0.7417357572
## [2106] 0.7420841257 0.7424401004 0.7427778200 0.7431246672 0.7434669506
## [2111] 0.7438061915 0.7441484749 0.7445059709 0.7448467331 0.7451844527
## [2116] 0.7455252149 0.7458751046 0.7462113030 0.7465931391 0.7469293375
## [2121] 0.7472944398 0.7476321594 0.7479820491 0.7483486727 0.7486939986
## [2126] 0.7490469309 0.7493876930 0.7497391040 0.7500920362 0.7504312771
## [2131] 0.7507994219 0.7511614817 0.7515007226 0.7518384422 0.7522035445
## [2136] 0.7525427854 0.7528850688 0.7532334373 0.7535787632 0.7539362592
## [2141] 0.7542891915 0.7546436449 0.7549920134 0.7553555944 0.7557176542
## [2146] 0.7560721077 0.7564189549 0.7567962273 0.7571567658 0.7575081768
## [2151] 0.7578808854 0.7582231688

plot(fraCUMrH,ylim=c(0,1), col="blue", lty=10)
lines(fraCUM, col="black")

Assign to vector iH the values of H, sorted in increasing order. Superpose on the same graphics cumulated frequencies for iH>110, in green. In which interval is the green curve constant?

iH=sort(DATA$H) ; 

y=(1:length(fraCUM))
freCUMih=cumsum(iH[iH>110])/length(iH) ; freCUMih

##    [1]  0.03822207  0.07644414  0.11466621  0.15288827  0.19111034  0.22933241
##    [7]  0.26755448  0.30577655  0.34399862  0.38222068  0.42044275  0.45866482
##   [13]  0.49688689  0.53510896  0.57333103  0.61155310  0.64977516  0.68799723
##   [19]  0.72621930  0.76444137  0.80266344  0.84088551  0.87910758  0.91732964
##   [25]  0.95555171  0.99377378  1.03199585  1.07021792  1.10843999  1.14666205
##   [31]  1.18488412  1.22310619  1.26132826  1.29955033  1.33777240  1.37599447
##   [37]  1.41421653  1.45243860  1.49066067  1.52888274  1.56710481  1.60532688
##   [43]  1.64354895  1.68177101  1.71999308  1.75821515  1.79643722  1.83483224
##   [49]  1.87322726  1.91162228  1.95001730  1.98841231  2.02680733  2.06520235
##   [55]  2.10359737  2.14199239  2.18038741  2.21878243  2.25717745  2.29557247
##   [61]  2.33396749  2.37236250  2.41075752  2.44915254  2.48754756  2.52594258
##   [67]  2.56433760  2.60273262  2.64112764  2.67952266  2.71791768  2.75631269
##   [73]  2.79470771  2.83310273  2.87149775  2.90989277  2.94828779  2.98668281
##   [79]  3.02507783  3.06347285  3.10186787  3.14026288  3.17865790  3.21705292
##   [85]  3.25544794  3.29384296  3.33223798  3.37063300  3.40902802  3.44742304
##   [91]  3.48581806  3.52421308  3.56260809  3.60100311  3.63939813  3.67779315
##   [97]  3.71618817  3.75458319  3.79297821  3.83137323  3.86976825  3.90816327
##  [103]  3.94655828  3.98495330  4.02334832  4.06174334  4.10013836  4.13853338
##  [109]  4.17692840  4.21532342  4.25371844  4.29211346  4.33050847  4.36890349
##  [115]  4.40729851  4.44569353  4.48408855  4.52248357  4.56087859  4.59927361
##  [121]  4.63766863  4.67606365  4.71445866  4.75285368  4.79124870  4.82964372
##  [127]  4.86803874  4.90643376  4.94482878  4.98322380  5.02161882  5.06001384
##  [133]  5.09840886  5.13680387  5.17519889  5.21359391  5.25198893  5.29038395
##  [139]  5.32877897  5.36717399  5.40556901  5.44396403  5.48235905  5.52075406
##  [145]  5.55914908  5.59754410  5.63593912  5.67433414  5.71272916  5.75112418
##  [151]  5.78951920  5.82791422  5.86630924  5.90470425  5.94309927  5.98149429
##  [157]  6.01988931  6.05828433  6.09667935  6.13507437  6.17346939  6.21186441
##  [163]  6.25025943  6.28865444  6.32704946  6.36544448  6.40383950  6.44223452
##  [169]  6.48062954  6.51902456  6.55741958  6.59581460  6.63420962  6.67260464
##  [175]  6.71099965  6.74939467  6.78778969  6.82618471  6.86457973  6.90297475
##  [181]  6.94136977  6.97976479  7.01815981  7.05655483  7.09494984  7.13334486
##  [187]  7.17173988  7.21013490  7.24852992  7.28692494  7.32531996  7.36371498
##  [193]  7.40211000  7.44050502  7.47890003  7.51729505  7.55569007  7.59408509
##  [199]  7.63248011  7.67087513  7.70927015  7.74766517  7.78606019  7.82462816
##  [205]  7.86319613  7.90176410  7.94033207  7.97890003  8.01746800  8.05603597
##  [211]  8.09460394  8.13317191  8.17173988  8.21030785  8.24887582  8.28744379
##  [217]  8.32601176  8.36457973  8.40314770  8.44171567  8.48028364  8.51885161
##  [223]  8.55741958  8.59598755  8.63455552  8.67312349  8.71169146  8.75025943
##  [229]  8.78882740  8.82739536  8.86596333  8.90453130  8.94309927  8.98166724
##  [235]  9.02023521  9.05880318  9.09737115  9.13593912  9.17450709  9.21307506
##  [241]  9.25181598  9.29055690  9.32929782  9.36803874  9.40677966  9.44552058
##  [247]  9.48426150  9.52300242  9.56174334  9.60048426  9.63922518  9.67796610
##  [253]  9.71670702  9.75544794  9.79418886  9.83292978  9.87167070  9.91041162
##  [259]  9.94915254  9.98789346 10.02663438 10.06537530 10.10411622 10.14285714
##  [265] 10.18159806 10.22033898 10.25907990 10.29782082 10.33656174 10.37530266
##  [271] 10.41404358 10.45278450 10.49152542 10.53026634 10.56900726 10.60774818
##  [277] 10.64648910 10.68523002 10.72397094 10.76271186 10.80145278 10.84019370
##  [283] 10.87893462 10.91767554 10.95641646 10.99515738 11.03389831 11.07263923
##  [289] 11.11138015 11.15012107 11.18886199 11.22760291 11.26634383 11.30508475
##  [295] 11.34382567 11.38256659 11.42130751 11.46004843 11.49878935 11.53753027
##  [301] 11.57627119 11.61501211 11.65375303 11.69249395 11.73123487 11.76997579
##  [307] 11.80871671 11.84745763 11.88619855 11.92493947 11.96368039 12.00242131
##  [313] 12.04116223 12.07990315 12.11864407 12.15738499 12.19612591 12.23486683
##  [319] 12.27360775 12.31234867 12.35108959 12.38983051 12.42857143 12.46731235
##  [325] 12.50605327 12.54479419 12.58353511 12.62227603 12.66101695 12.69975787
##  [331] 12.73849879 12.77723971 12.81598063 12.85472155 12.89346247 12.93220339
##  [337] 12.97094431 13.00968523 13.04842615 13.08716707 13.12590799 13.16464891
##  [343] 13.20338983 13.24213075 13.28087167 13.31961259 13.35835351 13.39709443
##  [349] 13.43583535 13.47457627 13.51331719 13.55205811 13.59079903 13.62953995
##  [355] 13.66828087 13.70702179 13.74576271 13.78450363 13.82324455 13.86198547
##  [361] 13.90072639 13.93946731 13.97820823 14.01694915 14.05569007 14.09443099
##  [367] 14.13317191 14.17191283 14.21065375 14.24939467 14.28813559 14.32687651
##  [373] 14.36561743 14.40435835 14.44309927 14.48184019 14.52058111 14.55932203
##  [379] 14.59806295 14.63680387 14.67554479 14.71428571 14.75302663 14.79176755
##  [385] 14.83050847 14.86924939 14.90799031 14.94673123 14.98547215 15.02421308
##  [391] 15.06295400 15.10169492 15.14043584 15.17917676 15.21791768 15.25665860
##  [397] 15.29539952 15.33414044 15.37288136 15.41162228 15.45036320 15.48910412
##  [403] 15.52784504 15.56658596 15.60532688 15.64406780 15.68280872 15.72154964
##  [409] 15.76029056 15.79903148 15.83777240 15.87651332 15.91525424 15.95399516
##  [415] 15.99273608 16.03147700 16.07021792 16.10895884 16.14769976 16.18644068
##  [421] 16.22518160 16.26392252 16.30266344 16.34140436 16.38014528 16.41888620
##  [427] 16.45762712 16.49636804 16.53510896 16.57384988 16.61259080 16.65133172
##  [433] 16.69007264 16.72881356 16.76755448 16.80629540 16.84503632 16.88377724
##  [439] 16.92251816 16.96125908 17.00000000 17.03874092 17.07748184 17.11622276
##  [445] 17.15496368 17.19370460 17.23244552 17.27118644 17.30992736 17.34866828
##  [451] 17.38740920 17.42615012 17.46489104 17.50363196 17.54237288 17.58111380
##  [457] 17.61985472 17.65876859 17.69768246 17.73659633 17.77551020 17.81442407
##  [463] 17.85333795 17.89225182 17.93116569 17.97007956 18.00899343 18.04790730
##  [469] 18.08682117 18.12573504 18.16464891 18.20356278 18.24247665 18.28139052
##  [475] 18.32030439 18.35921826 18.39813213 18.43704600 18.47595988 18.51487375
##  [481] 18.55378762 18.59270149 18.63161536 18.67052923 18.70944310 18.74835697
##  [487] 18.78727084 18.82618471 18.86509858 18.90401245 18.94309927 18.98218609
##  [493] 19.02127292 19.06035974 19.09944656 19.13853338 19.17762020 19.21670702
##  [499] 19.25579384 19.29488066 19.33396749 19.37305431 19.41214113 19.45122795
##  [505] 19.49031477 19.52940159 19.56848841 19.60757523 19.64666205 19.68574888
##  [511] 19.72483570 19.76392252 19.80300934 19.84209616 19.88118298 19.92026980
##  [517] 19.95935662 19.99844345 20.03753027 20.07661709 20.11570391 20.15479073
##  [523] 20.19387755 20.23296437 20.27205119 20.31113801 20.35022484 20.38931166
##  [529] 20.42839848 20.46748530 20.50657212 20.54565894 20.58474576 20.62383258
##  [535] 20.66291941 20.70200623 20.74109305 20.78017987 20.81926669 20.85835351
##  [541] 20.89744033 20.93652715 20.97561397 21.01470080 21.05378762 21.09287444
##  [547] 21.13196126 21.17104808 21.21013490 21.24922172 21.28830854 21.32739536
##  [553] 21.36648219 21.40556901 21.44465583 21.48374265 21.52282947 21.56191629
##  [559] 21.60100311 21.64008993 21.67917676 21.71826358 21.75735040 21.79643722
##  [565] 21.83552404 21.87461086 21.91369768 21.95278450 21.99187132 22.03095815
##  [571] 22.07004497 22.10913179 22.14821861 22.18730543 22.22639225 22.26547907
##  [577] 22.30456589 22.34365272 22.38273954 22.42182636 22.46091318 22.50000000
##  [583] 22.53908682 22.57817364 22.61726046 22.65634728 22.69543411 22.73452093
##  [589] 22.77360775 22.81269457 22.85178139 22.89086821 22.92995503 22.96904185
##  [595] 23.00812868 23.04721550 23.08630232 23.12538914 23.16447596 23.20356278
##  [601] 23.24264960 23.28173642 23.32082324 23.35991007 23.39899689 23.43808371
##  [607] 23.47717053 23.51625735 23.55534417 23.59443099 23.63351781 23.67260464
##  [613] 23.71169146 23.75077828 23.78986510 23.82895192 23.86803874 23.90712556
##  [619] 23.94621238 23.98529920 24.02438603 24.06347285 24.10255967 24.14164649
##  [625] 24.18073331 24.21982013 24.25890695 24.29799377 24.33708059 24.37616742
##  [631] 24.41525424 24.45434106 24.49342788 24.53251470 24.57160152 24.61068834
##  [637] 24.64977516 24.68886199 24.72794881 24.76703563 24.80612245 24.84520927
##  [643] 24.88429609 24.92338291 24.96246973 25.00155655 25.04064338 25.07973020
##  [649] 25.11881702 25.15790384 25.19699066 25.23607748 25.27516430 25.31425112
##  [655] 25.35333795 25.39242477 25.43151159 25.47059841 25.50968523 25.54877205
##  [661] 25.58785887 25.62694569 25.66603251 25.70529229 25.74455206 25.78381183
##  [667] 25.82307160 25.86233137 25.90159114 25.94085092 25.98011069 26.01937046
##  [673] 26.05863023 26.09789000 26.13714978 26.17640955 26.21566932 26.25492909
##  [679] 26.29418886 26.33344863 26.37270841 26.41196818 26.45122795 26.49048772
##  [685] 26.52974749 26.56900726 26.60826704 26.64752681 26.68678658 26.72604635
##  [691] 26.76530612 26.80456589 26.84382567 26.88308544 26.92234521 26.96160498
##  [697] 27.00086475 27.04012452 27.07938430 27.11864407 27.15790384 27.19733656
##  [703] 27.23676928 27.27620201 27.31563473 27.35506745 27.39450017 27.43393290
##  [709] 27.47336562 27.51279834 27.55223106 27.59166378 27.63109651 27.67052923
##  [715] 27.70996195 27.74939467 27.78882740 27.82826012 27.86769284 27.90712556
##  [721] 27.94655828 27.98599101 28.02542373 28.06485645 28.10428917 28.14372190
##  [727] 28.18315462 28.22258734 28.26202006 28.30145278 28.34088551 28.38031823
##  [733] 28.41975095 28.45918367 28.49861640 28.53804912 28.57748184 28.61691456
##  [739] 28.65634728 28.69578001 28.73521273 28.77464545 28.81407817 28.85351090
##  [745] 28.89294362 28.93237634 28.97180906 29.01124178 29.05067451 29.09010723
##  [751] 29.12953995 29.16897267 29.20840540 29.24783812 29.28727084 29.32670356
##  [757] 29.36613629 29.40556901 29.44500173 29.48443445 29.52386717 29.56329990
##  [763] 29.60273262 29.64216534 29.68159806 29.72103079 29.76046351 29.79989623
##  [769] 29.83932895 29.87876167 29.91819440 29.95762712 29.99705984 30.03649256
##  [775] 30.07592529 30.11535801 30.15479073 30.19422345 30.23365617 30.27308890
##  [781] 30.31252162 30.35195434 30.39138706 30.43081979 30.47025251 30.50968523
##  [787] 30.54911795 30.58855067 30.62798340 30.66741612 30.70684884 30.74628156
##  [793] 30.78571429 30.82514701 30.86457973 30.90401245 30.94344517 30.98287790
##  [799] 31.02231062 31.06174334 31.10117606 31.14060879 31.18004151 31.21947423
##  [805] 31.25890695 31.29833967 31.33777240 31.37720512 31.41663784 31.45607056
##  [811] 31.49550329 31.53493601 31.57436873 31.61380145 31.65323418 31.69266690
##  [817] 31.73209962 31.77153234 31.81096506 31.85039779 31.88983051 31.92926323
##  [823] 31.96869595 32.00812868 32.04756140 32.08699412 32.12642684 32.16585956
##  [829] 32.20529229 32.24472501 32.28415773 32.32359045 32.36302318 32.40245590
##  [835] 32.44188862 32.48132134 32.52075406 32.56018679 32.59961951 32.63905223
##  [841] 32.67848495 32.71791768 32.75735040 32.79678312 32.83621584 32.87564856
##  [847] 32.91508129 32.95451401 32.99394673 33.03337945 33.07281218 33.11224490
##  [853] 33.15167762 33.19111034 33.23054306 33.26997579 33.30940851 33.34884123
##  [859] 33.38827395 33.42770668 33.46713940 33.50657212 33.54600484 33.58543756
##  [865] 33.62487029 33.66430301 33.70373573 33.74316845 33.78260118 33.82203390
##  [871] 33.86146662 33.90089934 33.94033207 33.97976479 34.01919751 34.05863023
##  [877] 34.09806295 34.13749568 34.17692840 34.21636112 34.25579384 34.29522657
##  [883] 34.33465929 34.37409201 34.41352473 34.45295745 34.49239018 34.53182290
##  [889] 34.57125562 34.61068834 34.65012107 34.68955379 34.72898651 34.76841923
##  [895] 34.80785195 34.84728468 34.88671740 34.92615012 34.96558284 35.00501557
##  [901] 35.04444829 35.08388101 35.12331373 35.16274645 35.20217918 35.24161190
##  [907] 35.28104462 35.32047734 35.35991007 35.39934279 35.43877551 35.47820823
##  [913] 35.51764095 35.55724663 35.59685230 35.63645797 35.67606365 35.71566932
##  [919] 35.75527499 35.79488066 35.83448634 35.87409201 35.91369768 35.95330336
##  [925] 35.99290903 36.03251470 36.07212037 36.11172605 36.15133172 36.19093739
##  [931] 36.23054306 36.27014874 36.30975441 36.34936008 36.38896576 36.42857143
##  [937] 36.46817710 36.50778277 36.54738845 36.58699412 36.62659979 36.66620547
##  [943] 36.70581114 36.74541681 36.78502248 36.82462816 36.86423383 36.90383950
##  [949] 36.94344517 36.98305085 37.02265652 37.06226219 37.10186787 37.14147354
##  [955] 37.18107921 37.22068488 37.26029056 37.30006918 37.33984780 37.37962643
##  [961] 37.41940505 37.45918367 37.49896230 37.53874092 37.57851954 37.61829817
##  [967] 37.65807679 37.69785541 37.73763404 37.77741266 37.81719128 37.85696991
##  [973] 37.89674853 37.93652715 37.97630578 38.01608440 38.05586302 38.09564165
##  [979] 38.13542027 38.17519889 38.21497752 38.25475614 38.29453476 38.33431339
##  [985] 38.37409201 38.41387063 38.45364926 38.49342788 38.53320650 38.57298513
##  [991] 38.61276375 38.65254237 38.69232100 38.73209962 38.77187824 38.81165687
##  [997] 38.85143549 38.89121411 38.93099274 38.97077136 39.01054998 39.05032861
## [1003] 39.09010723 39.12988585 39.16966448 39.20944310 39.24922172 39.28900035
## [1009] 39.32877897 39.36855759 39.40833622 39.44811484 39.48789346 39.52767209
## [1015] 39.56745071 39.60722933 39.64700796 39.68678658 39.72656520 39.76634383
## [1021] 39.80612245 39.84590107 39.88567970 39.92545832 39.96523694 40.00501557
## [1027] 40.04479419 40.08457281 40.12435144 40.16413006 40.20390868 40.24368731
## [1033] 40.28346593 40.32324455 40.36302318 40.40280180 40.44258042 40.48235905
## [1039] 40.52213767 40.56191629 40.60169492 40.64147354 40.68125216 40.72103079
## [1045] 40.76080941 40.80058803 40.84036666 40.88014528 40.91992390 40.95970253
## [1051] 40.99948115 41.03925977 41.07903840 41.11881702 41.15859564 41.19837426
## [1057] 41.23815289 41.27793151 41.31771013 41.35748876 41.39726738 41.43704600
## [1063] 41.47682463 41.51660325 41.55638187 41.59616050 41.63593912 41.67571774
## [1069] 41.71549637 41.75527499 41.79505361 41.83483224 41.87461086 41.91438948
## [1075] 41.95416811 41.99394673 42.03372535 42.07350398 42.11328260 42.15306122
## [1081] 42.19283985 42.23261847 42.27239709 42.31217572 42.35195434 42.39173296
## [1087] 42.43151159 42.47129021 42.51106883 42.55084746 42.59062608 42.63040470
## [1093] 42.67018333 42.70996195 42.74974057 42.78951920 42.82929782 42.86907644
## [1099] 42.90885507 42.94863369 42.98841231 43.02819094 43.06796956 43.10774818
## [1105] 43.14752681 43.18730543 43.22708405 43.26686268 43.30664130 43.34641992
## [1111] 43.38619855 43.42597717 43.46575579 43.50553442 43.54531304 43.58509166
## [1117] 43.62487029 43.66464891 43.70442753 43.74420616 43.78398478 43.82376340
## [1123] 43.86354203 43.90332065 43.94309927 43.98287790 44.02265652 44.06243514
## [1129] 44.10221377 44.14199239 44.18177101 44.22154964 44.26132826 44.30110688
## [1135] 44.34088551 44.38066413 44.42044275 44.46022138 44.50000000 44.53977862
## [1141] 44.57973020 44.61968177 44.65963334 44.69958492 44.73953649 44.77948807
## [1147] 44.81943964 44.85939121 44.89934279 44.93929436 44.97924594 45.01919751
## [1153] 45.05914908 45.09910066 45.13905223 45.17900380 45.21895538 45.25890695
## [1159] 45.29885853 45.33881010 45.37876167 45.41871325 45.45866482 45.49861640
## [1165] 45.53856797 45.57851954 45.61847112 45.65842269 45.69837426 45.73832584
## [1171] 45.77827741 45.81822899 45.85818056 45.89813213 45.93808371 45.97803528
## [1177] 46.01798686 46.05793843 46.09789000 46.13784158 46.17779315 46.21774473
## [1183] 46.25769630 46.29764787 46.33759945 46.37755102 46.41767554 46.45780007
## [1189] 46.49792459 46.53804912 46.57817364 46.61829817 46.65842269 46.69854722
## [1195] 46.73867174 46.77879626 46.81892079 46.85904531 46.89916984 46.93929436
## [1201] 46.97941889 47.01954341 47.05966793 47.09979246 47.13991698 47.18004151
## [1207] 47.22016603 47.26029056 47.30041508 47.34053961 47.38066413 47.42078865
## [1213] 47.46091318 47.50103770 47.54116223 47.58128675 47.62141128 47.66153580
## [1219] 47.70166033 47.74178485 47.78190937 47.82203390 47.86215842 47.90228295
## [1225] 47.94240747 47.98253200 48.02265652 48.06278104 48.10290557 48.14303009
## [1231] 48.18315462 48.22327914 48.26340367 48.30352819 48.34365272 48.38377724
## [1237] 48.42390176 48.46402629 48.50415081 48.54427534 48.58439986 48.62452439
## [1243] 48.66464891 48.70477343 48.74489796 48.78502248 48.82514701 48.86527153
## [1249] 48.90539606 48.94552058 48.98564511 49.02576963 49.06589415 49.10601868
## [1255] 49.14614320 49.18626773 49.22639225 49.26651678 49.30664130 49.34676582
## [1261] 49.38689035 49.42701487 49.46713940 49.50726392 49.54738845 49.58751297
## [1267] 49.62763750 49.66776202 49.70788654 49.74801107 49.78813559 49.82826012
## [1273] 49.86838464 49.90850917 49.94863369 49.98875822 50.02888274 50.06900726
## [1279] 50.10913179 50.14925631 50.18938084 50.22950536 50.26962989 50.30975441
## [1285] 50.34987893 50.39000346 50.43012798 50.47025251 50.51037703 50.55050156
## [1291] 50.59062608 50.63075061 50.67087513 50.71099965 50.75112418 50.79124870
## [1297] 50.83137323 50.87149775 50.91162228 50.95174680 50.99187132 51.03199585
## [1303] 51.07212037 51.11224490 51.15236942 51.19249395 51.23261847 51.27274300
## [1309] 51.31286752 51.35299204 51.39311657 51.43324109 51.47336562 51.51349014
## [1315] 51.55361467 51.59373919 51.63386371 51.67398824 51.71428571 51.75458319
## [1321] 51.79488066 51.83517814 51.87547561 51.91577309 51.95607056 51.99636804
## [1327] 52.03666551 52.07696299 52.11726046 52.15755794 52.19785541 52.23815289
## [1333] 52.27845036 52.31874784 52.35904531 52.39934279 52.43964026 52.47993774
## [1339] 52.52023521 52.56053269 52.60083016 52.64112764 52.68142511 52.72172259
## [1345] 52.76202006 52.80231754 52.84261501 52.88291249 52.92320996 52.96350744
## [1351] 53.00380491 53.04410239 53.08457281 53.12504324 53.16551366 53.20598409
## [1357] 53.24645451 53.28692494 53.32739536 53.36786579 53.40833622 53.44880664
## [1363] 53.48927707 53.52974749 53.57021792 53.61068834 53.65115877 53.69162919
## [1369] 53.73209962 53.77257004 53.81304047 53.85351090 53.89398132 53.93445175
## [1375] 53.97492217 54.01539260 54.05586302 54.09633345 54.13680387 54.17727430
## [1381] 54.21774473 54.25821515 54.29868558 54.33915600 54.37962643 54.42009685
## [1387] 54.46056728 54.50103770 54.54150813 54.58197855 54.62244898 54.66291941
## [1393] 54.70338983 54.74386026 54.78433068 54.82480111 54.86527153 54.90574196
## [1399] 54.94621238 54.98668281 55.02715323 55.06762366 55.10809409 55.14856451
## [1405] 55.18903494 55.22950536 55.26997579 55.31044621 55.35091664 55.39138706
## [1411] 55.43185749 55.47232791 55.51279834 55.55326877 55.59373919 55.63420962
## [1417] 55.67468004 55.71515047 55.75562089 55.79609132 55.83656174 55.87703217
## [1423] 55.91750259 55.95797302 55.99844345 56.03891387 56.07938430 56.11985472
## [1429] 56.16032515 56.20079557 56.24126600 56.28173642 56.32220685 56.36267727
## [1435] 56.40314770 56.44361813 56.48408855 56.52455898 56.56502940 56.60549983
## [1441] 56.64597025 56.68644068 56.72691110 56.76738153 56.80785195 56.84832238
## [1447] 56.88879281 56.92926323 56.96973366 57.01020408 57.05067451 57.09114493
## [1453] 57.13161536 57.17208578 57.21255621 57.25302663 57.29349706 57.33396749
## [1459] 57.37443791 57.41490834 57.45537876 57.49584919 57.53631961 57.57679004
## [1465] 57.61726046 57.65773089 57.69820131 57.73867174 57.77914217 57.81961259
## [1471] 57.86008302 57.90055344 57.94102387 57.98149429 58.02196472 58.06243514
## [1477] 58.10290557 58.14337599 58.18384642 58.22431685 58.26478727 58.30525770
## [1483] 58.34572812 58.38619855 58.42666897 58.46713940 58.50760982 58.54808025
## [1489] 58.58855067 58.62902110 58.66949153 58.70996195 58.75043238 58.79090280
## [1495] 58.83137323 58.87184365 58.91231408 58.95278450 58.99325493 59.03389831
## [1501] 59.07454168 59.11518506 59.15582843 59.19647181 59.23711519 59.27775856
## [1507] 59.31840194 59.35904531 59.39968869 59.44033207 59.48097544 59.52161882
## [1513] 59.56226219 59.60290557 59.64354895 59.68419232 59.72483570 59.76547907
## [1519] 59.80612245 59.84676582 59.88740920 59.92805258 59.96869595 60.00933933
## [1525] 60.04998270 60.09062608 60.13126946 60.17191283 60.21255621 60.25337254
## [1531] 60.29418886 60.33500519 60.37582152 60.41663784 60.45745417 60.49827049
## [1537] 60.53908682 60.57990315 60.62071947 60.66153580 60.70235213 60.74316845
## [1543] 60.78398478 60.82480111 60.86561743 60.90643376 60.94725009 60.98806641
## [1549] 61.02888274 61.06969907 61.11051539 61.15133172 61.19214805 61.23296437
## [1555] 61.27378070 61.31459703 61.35541335 61.39622968 61.43704600 61.47786233
## [1561] 61.51867866 61.55949498 61.60031131 61.64112764 61.68194396 61.72276029
## [1567] 61.76357662 61.80439294 61.84520927 61.88602560 61.92684192 61.96765825
## [1573] 62.00847458 62.04929090 62.09010723 62.13092356 62.17173988 62.21255621
## [1579] 62.25337254 62.29418886 62.33500519 62.37582152 62.41663784 62.45745417
## [1585] 62.49827049 62.53908682 62.57990315 62.62071947 62.66153580 62.70235213
## [1591] 62.74316845 62.78398478 62.82480111 62.86561743 62.90643376 62.94725009
## [1597] 62.98806641 63.02888274 63.06969907 63.11051539 63.15133172 63.19214805
## [1603] 63.23296437 63.27378070 63.31459703 63.35541335 63.39622968 63.43704600
## [1609] 63.47786233 63.51867866 63.55949498 63.60031131 63.64112764 63.68194396
## [1615] 63.72276029 63.76357662 63.80439294 63.84520927 63.88602560 63.92684192
## [1621] 63.96765825 64.00847458 64.04929090 64.09010723 64.13092356 64.17173988
## [1627] 64.21255621 64.25337254 64.29418886 64.33500519 64.37582152 64.41663784
## [1633] 64.45745417 64.49827049 64.53908682 64.57990315 64.62071947 64.66153580
## [1639] 64.70235213 64.74316845 64.78398478 64.82480111 64.86561743 64.90643376
## [1645] 64.94725009 64.98806641 65.02888274 65.06969907 65.11051539 65.15133172
## [1651] 65.19214805 65.23296437 65.27378070 65.31459703 65.35541335 65.39622968
## [1657] 65.43704600 65.47786233 65.51867866 65.55949498 65.60031131 65.64112764
## [1663] 65.68211691 65.72310619 65.76409547 65.80508475 65.84607402 65.88706330
## [1669] 65.92805258 65.96904185 66.01003113 66.05102041 66.09200969 66.13299896
## [1675] 66.17398824 66.21497752 66.25596679 66.29695607 66.33794535 66.37893462
## [1681] 66.41992390 66.46091318 66.50190246 66.54289173 66.58388101 66.62487029
## [1687] 66.66603251 66.70719474 66.74835697 66.78951920 66.83068143 66.87184365
## [1693] 66.91300588 66.95416811 66.99533034 67.03649256 67.07765479 67.11881702
## [1699] 67.15997925 67.20114147 67.24230370 67.28346593 67.32462816 67.36579038
## [1705] 67.40695261 67.44811484 67.48927707 67.53043929 67.57160152 67.61276375
## [1711] 67.65392598 67.69508820 67.73625043 67.77741266 67.81857489 67.85973712
## [1717] 67.90089934 67.94206157 67.98322380 68.02438603 68.06554825 68.10671048
## [1723] 68.14787271 68.18903494 68.23019716 68.27135939 68.31252162 68.35368385
## [1729] 68.39484607 68.43600830 68.47717053 68.51833276 68.55949498 68.60065721
## [1735] 68.64181944 68.68298167 68.72414389 68.76530612 68.80646835 68.84763058
## [1741] 68.88879281 68.92995503 68.97111726 69.01227949 69.05344172 69.09460394
## [1747] 69.13576617 69.17692840 69.21809063 69.25925285 69.30041508 69.34157731
## [1753] 69.38273954 69.42390176 69.46506399 69.50622622 69.54738845 69.58855067
## [1759] 69.62971290 69.67087513 69.71203736 69.75319958 69.79436181 69.83552404
## [1765] 69.87668627 69.91784850 69.95901072 70.00017295 70.04133518 70.08249741
## [1771] 70.12365963 70.16482186 70.20598409 70.24714632 70.28830854 70.32947077
## [1777] 70.37063300 70.41179523 70.45295745 70.49411968 70.53528191 70.57644414
## [1783] 70.61760636 70.65876859 70.69993082 70.74126600 70.78260118 70.82393635
## [1789] 70.86527153 70.90660671 70.94794189 70.98927707 71.03061224 71.07194742
## [1795] 71.11328260 71.15461778 71.19595296 71.23728814 71.27862331 71.31995849
## [1801] 71.36129367 71.40262885 71.44396403 71.48529920 71.52663438 71.56814251
## [1807] 71.60965064 71.65115877 71.69266690 71.73417503 71.77568315 71.81719128
## [1813] 71.85869941 71.90020754 71.94171567 71.98322380 72.02473193 72.06624006
## [1819] 72.10774818 72.14925631 72.19076444 72.23227257 72.27378070 72.31528883
## [1825] 72.35679696 72.39830508 72.43981321 72.48132134 72.52282947 72.56433760
## [1831] 72.60584573 72.64735386 72.68886199 72.73037011 72.77187824 72.81338637
## [1837] 72.85489450 72.89640263 72.93791076 72.97941889 73.02092701 73.06243514
## [1843] 73.10394327 73.14545140 73.18695953 73.22846766 73.26997579 73.31148392
## [1849] 73.35299204 73.39450017 73.43600830 73.47751643 73.51902456 73.56053269
## [1855] 73.60204082 73.64354895 73.68505707 73.72656520 73.76807333 73.80958146
## [1861] 73.85108959 73.89259772 73.93410585 73.97561397 74.01712210 74.05863023
## [1867] 74.10013836 74.14164649 74.18315462 74.22466275 74.26617088 74.30767900
## [1873] 74.34918713 74.39069526 74.43220339 74.47371152 74.51521965 74.55672778
## [1879] 74.59823590 74.63974403 74.68125216 74.72276029 74.76426842 74.80577655
## [1885] 74.84728468 74.88879281 74.93030093 74.97180906 75.01331719 75.05499827
## [1891] 75.09667935 75.13836043 75.18004151 75.22172259 75.26340367 75.30508475
## [1897] 75.34693878 75.38879281 75.43064684 75.47250086 75.51435489 75.55620892
## [1903] 75.59806295 75.63991698 75.68177101 75.72362504 75.76547907 75.80733310
## [1909] 75.84918713 75.89104116 75.93289519 75.97474922 76.01660325 76.05845728
## [1915] 76.10031131 76.14216534 76.18401937 76.22587340 76.26772743 76.30958146
## [1921] 76.35143549 76.39328952 76.43514355 76.47699758 76.51885161 76.56070564
## [1927] 76.60255967 76.64441370 76.68626773 76.72812176 76.76997579 76.81182982
## [1933] 76.85368385 76.89553788 76.93739191 76.97924594 77.02109997 77.06295400
## [1939] 77.10480802 77.14666205 77.18851608 77.23037011 77.27222414 77.31407817
## [1945] 77.35593220 77.39778623 77.43964026 77.48149429 77.52334832 77.56520235
## [1951] 77.60705638 77.64891041 77.69076444 77.73261847 77.77447250 77.81632653
## [1957] 77.85818056 77.90003459 77.94188862 77.98374265 78.02559668 78.06745071
## [1963] 78.10930474 78.15133172 78.19335870 78.23538568 78.27741266 78.31943964
## [1969] 78.36146662 78.40349360 78.44552058 78.48754756 78.52957454 78.57160152
## [1975] 78.61380145 78.65600138 78.69820131 78.74040125 78.78260118 78.82480111
## [1981] 78.86700104 78.90920097 78.95140090 78.99360083 79.03580076 79.07800069
## [1987] 79.12020062 79.16240055 79.20460048 79.24680042 79.28900035 79.33120028
## [1993] 79.37340021 79.41560014 79.45780007 79.50000000 79.54219993 79.58439986
## [1999] 79.62659979 79.66879972 79.71099965 79.75319958 79.79539952 79.83759945
## [2005] 79.87979938 79.92199931 79.96419924 80.00639917 80.04859910 80.09079903
## [2011] 80.13299896 80.17519889 80.21739882 80.25959875 80.30179869 80.34399862
## [2017] 80.38619855 80.42839848 80.47059841 80.51279834 80.55499827 80.59719820
## [2023] 80.63939813 80.68159806 80.72379799 80.76599792 80.80837081 80.85074369
## [2029] 80.89311657 80.93548945 80.97786233 81.02023521 81.06260809 81.10498098
## [2035] 81.14735386 81.18972674 81.23209962 81.27447250 81.31684538 81.35921826
## [2041] 81.40176410 81.44430993 81.48685576 81.52940159 81.57194742 81.61449325
## [2047] 81.65703909 81.69958492 81.74213075 81.78467658 81.82722241 81.86976825
## [2053] 81.91231408 81.95485991 81.99740574 82.03995157 82.08249741 82.12504324
## [2059] 82.16758907 82.21013490 82.25268073 82.29522657 82.33777240 82.38031823
## [2065] 82.42286406 82.46540989 82.50795572 82.55050156 82.59304739 82.63559322
## [2071] 82.67813905 82.72068488 82.76340367 82.80612245 82.84884123 82.89156001
## [2077] 82.93427880 82.97699758 83.01988931 83.06278104 83.10567278 83.14856451
## [2083] 83.19145624 83.23434798 83.27723971 83.32013144 83.36302318 83.40591491
## [2089] 83.44880664 83.49169837 83.53459011 83.57748184 83.62037357 83.66326531
## [2095] 83.70615704 83.74904877 83.79194051 83.83500519 83.87806987 83.92113456
## [2101] 83.96419924 84.00726392 84.05050156 84.09373919 84.13697682 84.18021446
## [2107] 84.22345209 84.26668973 84.30992736 84.35316499 84.39640263 84.43964026
## [2113] 84.48287790 84.52611553 84.56935316 84.61259080 84.65600138 84.69941197
## [2119] 84.74282255 84.78623314 84.82981667 84.87340021 84.91698374 84.96056728
## [2125] 85.00415081 85.04773435 85.09131788 85.13490142 85.17848495 85.22206849
## [2131] 85.26582497 85.30975441 85.35368385 85.39761328 85.44154272 85.48547215
## [2137] 85.52940159 85.57350398 85.61777932 85.66205465 85.70632999 85.75060533
## [2143] 85.79488066 85.83932895 85.88377724 85.92839848 85.97301972 86.01764095
## [2149] 86.06260809 86.10757523 86.15358008 86.20166033

plot(fraCUMrH,  y, ylim=c(0,1), col="blue", lty=10)

plot(fraCUMrH,  y, col="blue", lty=10)
lines(fraCUM, y, col="black")
lines(freCUMih, y, col="green")

Assign to vector dH the values of H, sorted in decreasing order. Superpose on the same graphics cumulated frequencies for dH>110, in red. In which interval is the red curve constant ?

DATA

##      gender age     H weight
## 1         F  68 113.0   20.0
## 2         M  74 116.0   17.5
## 3         M  69 120.0   23.0
## 4         M  72 121.0   25.0
## 5         M  73 114.0   17.0
## 6         M  65 115.0   20.0
## 7         M  66 110.0   17.2
## 8         F  63 104.0   15.0
## 9         M  74 128.0   34.0
## 10        M  70 118.0   24.0
## 11        F  68 111.0   18.0
## 12        M  70 117.0   20.0
## 13        F  62 108.0   17.0
## 14        M  75 125.0   21.0
## 15        F  70 123.0   24.0
## 16        M  76 112.0   18.0
## 17        F  76 118.0   19.0
## 18        F  75 119.0   22.5
## 19        M  75 114.0   19.0
## 20        F  75 108.0   20.0
## 21        F  67 120.0   22.0
## 22        M  71 117.0   20.0
## 23        M  67 114.0   19.0
## 24        M  70 115.0   22.0
## 25        F  49 112.0   19.5
## 26        F  66 107.0   18.0
## 27        F  68 115.0   23.0
## 28        F  73 121.0   22.0
## 29        F  67 112.0   19.0
## 30        M  74 111.0   18.0
## 31        F  74 120.0   24.0
## 32        F  73 122.0   20.5
## 33        F  70 115.0   21.0
## 34        F  71 115.0   18.5
## 35        M  67 113.0   21.0
## 36        M  76 118.0   21.0
## 37        F  75 119.0   21.0
## 38        F  68 107.0   16.5
## 39        F  70 107.0   15.0
## 40        F  68 116.0   20.0
## 41        F  68 114.0   20.0
## 42        F  69 123.0   23.0
## 43        F  67 117.0   19.0
## 44        M  69 109.0   18.0
## 45        M  72 112.0   19.0
## 46        M  74 122.0   23.5
## 47        M  67 109.0   15.0
## 48        M  70 112.0   18.0
## 49        M  66 108.0   16.0
## 50        M  74 108.0   17.0
## 51        M  60 112.0   20.0
## 52        F  61 105.0   15.0
## 53        F  74 113.0   19.5
## 54        F  65 112.0   19.0
## 55        M  70 112.0   19.0
## 56        M  64 110.0   18.0
## 57        F  66 112.0   19.0
## 58        F  62 119.0   19.0
## 59        F  69 108.0   18.0
## 60        F  62 112.0   20.0
## 61        F  67 105.0   17.0
## 62        F  64 107.0   17.0
## 63        M  69 107.0   17.0
## 64        M  72 121.0   22.0
## 65        M  68 109.0   19.0
## 66        M  71 114.0   21.0
## 67        F  68 105.0   17.0
## 68        M  64 115.0   22.0
## 69        M  65 106.0   18.0
## 70        F  73 117.0   19.0
## 71        M  65 111.0   19.0
## 72        M  65 107.5   18.0
## 73        F  68 109.0   18.0
## 74        F  72 123.5   22.0
## 75        F  66 113.0   24.5
## 76        M  67 111.5   21.5
## 77        M  72 117.0   22.0
## 78        F  66 113.0   18.5
## 79        F  69 111.0   19.0
## 80        M  65 112.0   21.0
## 81        F  68 117.0   21.0
## 82        F  61 110.0   18.0
## 83        M  69 114.0   19.0
## 84        F  70 111.0   16.0
## 85        M  68 108.0   16.0
## 86        M  68 110.0   21.0
## 87        F  67 111.5   19.0
## 88        M  67 111.0   20.0
## 89        F  69 112.5   23.5
## 90        F  72 108.0   19.5
## 91        M  66 106.0   18.5
## 92        M  71 107.0   18.0
## 93        M  72 118.0   24.5
## 94        F  70 114.0   21.0
## 95        F  68 112.0   17.0
## 96        M  70 110.0   21.0
## 97        F  72 108.0   18.0
## 98        F  67 115.0   20.0
## 99        M  61 105.0   20.0
## 100       M  64 109.0   18.0
## 101       M  61 107.0   16.5
## 102       F  63 106.0   17.0
## 103       F  63 108.0   19.0
## 104       F  62 110.0   19.5
## 105       F  63 108.0   20.5
## 106       F  62 110.5   21.5
## 107       F  63 113.0   22.0
## 108       M  70 113.0   20.0
## 109       M  70 111.0   19.0
## 110       M  68 115.0   21.0
## 111       F  69 115.0   20.0
## 112       F  66 112.0   19.0
## 113       F  72 126.0   22.0
## 114       F  73 117.5   19.5
## 115       F  68 123.5   26.0
## 116       F  70 114.0   19.0
## 117       F  70 116.0   22.0
## 118       F  65 101.0   15.5
## 119       F  64 111.5   22.0
## 120       F  67 114.0   18.0
## 121       F  67 112.0   21.0
## 122       M  71 109.0   19.0
## 123       M  71 122.0   29.0
## 124       M  68 114.0   21.0
## 125       M  68 119.5   24.5
## 126       M  67 110.5   18.0
## 127       M  74 113.0   21.0
## 128       M  75 113.0   18.0
## 129       M  69 113.0   22.0
## 130       M  73 114.0   20.0
## 131       M  69 127.0   32.0
## 132       M  70 114.0   23.0
## 133       M  73 119.5   25.0
## 134       M  75 117.0   24.0
## 135       M  65 113.0   20.5
## 136       M  67 111.0   19.0
## 137       F  66 101.0   13.0
## 138       F  73 119.5   27.0
## 139       F  65 106.0   15.0
## 140       F  71 110.0   18.0
## 141       F  74 118.0   23.0
## 142       F  75 113.0   20.0
## 143       F  67 108.0   18.0
## 144       F  64 109.0   17.0
## 145       F  65 109.0   18.0
## 146       F  72 111.0   19.0
## 147       F  68 115.0   18.0
## 148       F  71 111.0   19.5
## 149       F  74 122.0   24.0
## 150       F  69 113.0   19.0
## 151       M  67 113.5   22.0
## 152       M  68 119.0   25.0
## 153       M  69 114.0   19.0
## 154       M  68 111.0   21.0
## 155       M  66 118.0   25.0
## 156       M  70 115.0   21.0
## 157       M  71 122.0   23.0
## 158       M  68 115.0   24.0
## 159       M  64 110.5   20.0
## 160       M  71 115.0   18.0
## 161       M  74 112.0   21.0
## 162       M  73 114.5   20.0
## 163       M  64 117.0   20.0
## 164       M  66 112.5   23.0
## 165       M  66 108.0   19.0
## 166       M  67 108.0   19.0
## 167       M  64 118.0   21.0
## 168       M  64 111.0   17.0
## 169       F  71 115.0   20.5
## 170       M  70 115.5   23.0
## 171       M  65 108.0   19.0
## 172       M  69 111.0   19.0
## 173       M  69 108.0   19.0
## 174       M  66 112.0   20.0
## 175       M  62 113.0   23.0
## 176       M  62 101.0   15.0
## 177       M  67 102.0   14.0
## 178       M  62 109.5   20.0
## 179       M  69 115.0   25.0
## 180       M  71 112.0   19.0
## 181       M  71 118.0   23.0
## 182       M  73 107.0   17.0
## 183       M  65 114.5   19.5
## 184       F  64 107.5   18.0
## 185       F  72 111.0   20.0
## 186       F  72 110.5   22.0
## 187       F  73 119.0   27.0
## 188       F  68 109.5   18.0
## 189       F  68 109.5   22.0
## 190       F  68 123.0   28.0
## 191       F  68 110.0   17.0
## 192       F  70 114.0   23.0
## 193       F  69 126.5   25.0
## 194       F  72 106.0   17.0
## 195       F  73 108.0   19.5
## 196       M  76 119.5   25.0
## 197       M  74 113.0   23.0
## 198       M  73 113.0   26.0
## 199       M  74 122.5   28.0
## 200       M  71 118.0   22.5
## 201       M  73 114.5   20.5
## 202       M  69 113.5   21.5
## 203       M  72 108.5   19.0
## 204       M  76 114.0   22.0
## 205       F  73 116.5   23.0
## 206       F  75 118.0   24.0
## 207       F  76 117.0   20.5
## 208       F  66 105.5   17.5
## 209       F  65 109.0   18.0
## 210       F  74 110.0   21.0
## 211       F  76 117.5   21.0
## 212       M  66 107.5   18.0
## 213       F  70 106.0   20.0
## 214       M  72 112.0   20.0
## 215       M  68 117.0   23.0
## 216       M  68 103.0   16.0
## 217       M  74 113.0   19.5
## 218       F  71 113.5   21.0
## 219       M  75 109.5   22.0
## 220       M  74 111.5   20.0
## 221       M  74 115.5   20.5
## 222       M  77 119.0   23.0
## 223       M  75 130.0   29.0
## 224       M  74 117.0   21.0
## 225       M  73 107.5   17.0
## 226       M  75 115.0   21.0
## 227       M  72 121.5   22.0
## 228       M  76 112.0   21.0
## 229       M  67 115.5   21.0
## 230       M  74 122.5   29.5
## 231       M  73 117.5   27.0
## 232       M  74 119.0   22.0
## 233       M  69 113.0   18.0
## 234       M  76 120.0   19.5
## 235       M  77 115.5   21.0
## 236       M  72 118.0   20.0
## 237       M  66 111.5   19.0
## 238       M  68 116.0   21.0
## 239       M  70 110.0   19.0
## 240       F  67 121.0   25.0
## 241       F  75 113.0   19.0
## 242       F  77 122.0   21.0
## 243       F  67 111.0   22.0
## 244       F  69 117.0   19.0
## 245       F  70 115.0   28.0
## 246       F  67 118.0   30.0
## 247       F  77 112.0   20.5
## 248       F  74 116.0   24.5
## 249       F  67 120.0   25.0
## 250       F  69 122.0   24.0
## 251       F  74 118.0   21.0
## 252       F  68 105.0   19.0
## 253       F  68 126.0   28.0
## 254       F  67 111.0   18.5
## 255       M  72 109.0   17.0
## 256       M  70 126.0   27.0
## 257       M  66 109.5   19.0
## 258       M  67 108.0   17.0
## 259       M  74 119.5   21.5
## 260       M  66 114.5   20.0
## 261       M  72 109.0   18.0
## 262       M  66 114.0   21.0
## 263       M  65 112.0   18.0
## 264       M  70 118.5   21.0
## 265       M  74 115.5   20.0
## 266       M  67 118.5   21.0
## 267       F  69 116.0   22.0
## 268       F  67 114.0   24.0
## 269       F  69 113.0   23.0
## 270       F  74 117.0   26.0
## 271       F  70 115.0   19.5
## 272       F  67 118.5   22.5
## 273       F  70 119.5   32.0
## 274       F  67 112.5   17.5
## 275       F  67 110.0   19.0
## 276       F  70 110.5   21.0
## 277       F  75 116.0   21.5
## 278       F  67 110.5   19.0
## 279       M  66 109.0   19.0
## 280       M  68 114.0   24.0
## 281       F  72 114.0   17.0
## 282       F  72 116.0   19.0
## 283       F  65 114.0   21.0
## 284       F  69 117.0   21.0
## 285       M  68 116.0   21.0
## 286       F  66 109.0   17.0
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## 1836      F  71 124.0   26.0
## 1837      F  61 116.0   23.5
## 1838      F  72 123.0   25.0
## 1839      F  72 112.0   17.0
## 1840      M  71 114.0   19.0
## 1841      F  61 114.0   18.0
## 1842      M  70 121.0   22.0
## 1843      F  70 111.0   19.0
## 1844      M  71 121.0   24.0
## 1845      M  68 108.0   17.0
## 1846      M  68 117.0   21.0
## 1847      M  65 113.0   20.0
## 1848      M  66 122.0   18.0
## 1849      F  62 104.0   15.0
## 1850      M  70 117.0   20.0
## 1851      F  62 108.0   18.0
## 1852      M  71 118.0   21.0
## 1853      M  71 125.0   21.0
## 1854      M  63 122.0   22.0
## 1855      M  61 101.0   13.0
## 1856      M  62 109.0   17.0
## 1857      M  70 123.0   25.0
## 1858      M  65 111.0   20.0
## 1859      M  70 117.0   24.0
## 1860      M  69 112.0   18.0
## 1861      M  68 122.0   25.0
## 1862      M  65 110.0   18.0
## 1863      M  72 106.0   15.0
## 1864      M  64 107.0   19.0
## 1865      M  61 101.0   19.0
## 1866      M  69 118.0   24.0
## 1867      M  71 114.0   21.0
## 1868      M  68 119.0   27.0
## 1869      M  70 122.0   24.0
## 1870      M  71 121.0   35.0
## 1871      M  71 112.0   24.0
## 1872      M  70 117.0   19.0
## 1873      M  67 114.0   19.0
## 1874      M  66 115.0   21.0
## 1875      M  66 117.0   20.0
## 1876      M  72 117.0   20.0
## 1877      M  68 110.0   17.0
## 1878      M  66 121.0   23.0
## 1879      F  61 112.0   23.0
## 1880      F  66 112.0   18.0
## 1881      F  62 120.0   23.0
## 1882      F  70 115.0   23.0
## 1883      F  70 120.0   26.0
## 1884      F  63 108.0   17.5
## 1885      F  62 114.0   25.0
## 1886      F  64 118.0   20.0
## 1887      F  67 116.0   21.5
## 1888      F  64 112.0   21.0
## 1889      F  70 113.0   18.0
## 1890      F  70 121.0   23.5
## 1891      F  64 114.0   21.0
## 1892      F  62 112.0   24.0
## 1893      F  67 112.0   18.0
## 1894      F  65 106.0   19.0
## 1895      F  62 106.0   17.0
## 1896      F  65 114.0   23.0
## 1897      F  66 111.0   17.5
## 1898      M  67 114.0   20.0
## 1899      M  61 115.0   21.0
## 1900      M  69 120.0   20.0
## 1901      M  62 112.0   20.0
## 1902      M  65 109.0   15.5
## 1903      M  72 122.0   24.0
## 1904      M  67 108.0   18.5
## 1905      M  68 106.0   16.5
## 1906      M  69 115.0   23.5
## 1907      M  69 113.0   23.0
## 1908      M  62 108.0   19.0
## 1909      M  67 112.0   18.5
## 1910      M  72 112.5   20.0
## 1911      M  66 118.0   25.0
## 1912      M  65 104.0   17.0
## 1913      M  66 121.0   25.0
## 1914      M  65 115.0   23.5
## 1915      M  71 114.0   23.0
## 1916      M  72 120.0   22.0
## 1917      M  72 117.0   22.5
## 1918      M  68 121.0   23.0
## 1919      M  71 105.0   15.0
## 1920      M  64 114.0   19.5
## 1921      M  72 121.0   23.0
## 1922      M  66 111.0   20.0
## 1923      M  68 108.0   18.0
## 1924      M  66 108.0   18.0
## 1925      F  65 121.0   22.0
## 1926      F  69 110.0   20.0
## 1927      F  64 112.0   16.0
## 1928      F  67 107.0   22.0
## 1929      F  67 114.0   22.0
## 1930      F  63 108.0   18.0
## 1931      F  66 118.0   27.0
## 1932      F  62 116.0   20.0
## 1933      F  72 133.0   37.0
## 1934      F  69 116.0   20.0
## 1935      F  66 114.0   23.0
## 1936      F  62 113.0   20.0
## 1937      F  68 117.0   20.0
## 1938      F  71 119.0   22.0
## 1939      F  63 106.0   20.0
## 1940      F  72 119.0   20.0
## 1941      F  71 122.0   21.0
## 1942      F  64 115.0   20.0
## 1943      F  67 114.0   20.0
## 1944      F  63 104.0   18.0
## 1945      M  66 109.0   16.5
## 1946      M  68 110.0   23.0
## 1947      M  65 115.0   20.0
## 1948      M  66 115.0   20.5
## 1949      M  67 117.0   26.5
## 1950      M  66 117.0   22.0
## 1951      M  66 118.0   24.0
## 1952      M  64 114.0   22.0
## 1953      M  63 112.0   20.0
## 1954      M  71 110.0   18.5
## 1955      M  64 112.0   20.0
## 1956      M  66 121.0   24.0
## 1957      M  64 112.0   21.0
## 1958      M  62 111.0   20.0
## 1959      M  66 114.0   20.0
## 1960      M  62 109.0   20.0
## 1961      M  72 119.0   22.0
## 1962      M  60 108.0   18.0
## 1963      M  73 119.0   22.0
## 1964      M  70 113.0   20.0
## 1965      M  73 114.0   20.0
## 1966      M  63 119.0   22.0
## 1967      M  72 117.0   20.0
## 1968      M  66 107.0   17.0
## 1969      M  64 116.0   21.0
## 1970      M  65 108.0   19.0
## 1971      M  66 115.0   20.5
## 1972      M  69 115.0   21.5
## 1973      M  64 108.0   19.0
## 1974      M  64 110.0   19.5
## 1975      M  69 113.0   17.0
## 1976      F  67 115.0   20.0
## 1977      F  69 119.0   32.0
## 1978      F  64 107.0   17.0
## 1979      F  68 115.0   25.0
## 1980      F  59 116.0   21.0
## 1981      F  69 113.0   20.0
## 1982      F  66 115.0   21.0
## 1983      F  66 120.0   25.0
## 1984      F  71 113.0   19.5
## 1985      F  66 119.0   30.0
## 1986      F  65 108.0   19.0
## 1987      F  73 110.0   17.0
## 1988      F  70 114.0   21.0
## 1989      F  71 118.0   25.0
## 1990      F  63 118.0   28.5
## 1991      F  68 118.0   24.0
## 1992      F  70 113.0   20.5
## 1993      F  68 116.0   23.0
## 1994      F  68 112.0   18.0
## 1995      M  68 111.0   19.0
## 1996      M  63 110.0   18.0
## 1997      F  64 111.0   19.0
## 1998      M  68 106.0   17.0
## 1999      F  67 111.0   17.0
## 2000      M  75 110.0   15.0
## 2001      M  70 117.0   20.0
## 2002      F  74 122.0   24.0
## 2003      M  66 116.0   20.0
## 2004      M  68 117.0   21.0
## 2005      F  68 111.0   20.0
## 2006      F  72 121.0   24.0
## 2007      M  68 111.0   19.0
## 2008      F  73 109.0   19.0
## 2009      F  70 110.0   20.0
## 2010      F  70 110.0   18.0
## 2011      M  68 115.0   19.0
## 2012      F  71 117.0   22.0
## 2013      M  73 113.0   20.0
## 2014      F  68 114.0   29.0
## 2015      M  66 121.0   27.0
## 2016      F  71 106.0   15.0
## 2017      M  64 110.0   17.0
## 2018      M  70 112.0   19.0
## 2019      F  73 111.0   22.0
## 2020      M  71 110.0   20.0
## 2021      F  72 109.0   19.0
## 2022      M  70 109.0   17.0
## 2023      M  65 105.0   16.0
## 2024      M  80 122.0   29.0
## 2025      F  74 116.0   21.0
## 2026      M  64 113.0   19.0
## 2027      F  73 113.0   19.0
## 2028      M  70 114.0   19.0
## 2029      F  63 112.0   18.0
## 2030      M  65 107.0   18.0
## 2031      F  63 111.0   18.0
## 2032      F  66 111.0   17.0
## 2033      F  68  99.0   16.0
## 2034      M  68 118.0   23.0
## 2035      M  64 119.0   22.0
## 2036      F  65 111.0   18.0
## 2037      M  73 117.0   26.0
## 2038      M  66 117.0   22.0
## 2039      M  72 117.0   22.0
## 2040      M  70 120.0   26.0
## 2041      M  67 111.5   18.0
## 2042      M  70 121.0   22.0
## 2043      F  63 116.0   20.0
## 2044      F  64 108.0   17.0
## 2045      F  62 107.0   16.0
## 2046      M  64 113.0   19.0
## 2047      F  62 115.0   23.0
## 2048      M  63 108.0   18.0
## 2049      M  67 111.0   20.0
## 2050      M  62 111.0   20.0
## 2051      F  62 114.0   22.0
## 2052      M  70 118.0   21.0
## 2053      F  72 111.0   17.0
## 2054      F  66 108.0   19.0
## 2055      F  71 111.0   19.0
## 2056      M  65 106.0   17.0
## 2057      M  62  99.5   16.0
## 2058      F  70 118.0   21.0
## 2059      M  70 123.0   24.0
## 2060      M  66 114.0   21.0
## 2061      F  72 112.0   15.0
## 2062      F  72 113.0   17.0
## 2063      F  69 120.0   25.0
## 2064      F  76 114.0   17.0
## 2065      M  65 111.5   16.5
## 2066      F  72 128.0   27.0
## 2067      F  67 105.0   16.0
## 2068      M  67 117.5   17.0
## 2069      F  68 114.0   18.0
## 2070      F  65 115.5   21.0
## 2071      M  74 116.5   19.0
## 2072      M  65 120.5   19.0
## 2073      M  74 118.5   20.0
## 2074      F  68 119.5   21.0
## 2075      F  75 125.0   22.0
## 2076      F  76 120.0   22.0
## 2077      F  75 111.5   21.0
## 2078      F  65 117.0   20.0
## 2079      M  65 110.0   20.0
## 2080      M  73 119.5   22.0
## 2081      F  65 108.0   18.0
## 2082      M  65 110.0   18.0
## 2083      M  70 112.5   18.0
## 2084      M  72 114.0   20.0
## 2085      F  67 116.5   19.0
## 2086      F  66 115.5   21.0
## 2087      F  75 111.5   18.0
## 2088      F  70 114.5   23.0
## 2089      F  71 115.0   20.0
## 2090      F  70 112.0   17.0
## 2091      M  74 120.0   22.0
## 2092      F  67 105.0   15.0
## 2093      F  68 111.5   20.0
## 2094      M  68 122.5   28.0
## 2095      M  70 116.0   22.0
## 2096      M  73 118.5   25.0
## 2097      F  67 115.0   23.0
## 2098      M  75 112.0   19.0
## 2099      M  73 116.0   19.0
## 2100      M  65 117.0   24.0
## 2101      F  68 114.0   24.0
## 2102      M  71 113.0   19.0
## 2103      M  70 118.0   18.0
## 2104      M  70 114.0   21.0
## 2105      M  63 106.0   16.0
## 2106      F  63 111.0   19.0
## 2107      F  63 110.0   18.0
## 2108      M  73 109.0   19.0
## 2109      M  70 114.0   19.0
## 2110      M  71 127.0   31.0
## 2111      F  67 115.0   24.0
## 2112      M  72 121.0   24.0
## 2113      M  70 116.0   21.0
## 2114      F  73 117.0   20.0
## 2115      M  69 118.0   20.0
## 2116      F  68 110.0   16.0
## 2117      M  68 113.0   21.0
## 2118      M  73 118.0   21.0
## 2119      F  67 117.0   20.0
## 2120      F  70 114.0   19.0
## 2121      M  70 114.0   20.0
## 2122      M  63 117.0   21.0
## 2123      F  64 112.0   22.0
## 2124      F  65 107.0   15.0
## 2125      F  67 108.0   18.0
## 2126      M  69 116.5   23.0
## 2127      M  69 114.5   19.0
## 2128      M  70 114.5   18.0
## 2129      F  69 110.0   20.0
## 2130      F  75 117.0   23.0
## 2131      M  68 109.0   19.0
## 2132      M  69 109.0   18.0
## 2133      M  68 116.0   21.0
## 2134      F  68 103.0   15.0
## 2135      M  64 113.0   20.0
## 2136      M  67 120.0   24.0
## 2137      F  66 105.0   16.0
## 2138      M  66 110.0   19.0
## 2139      M  70 110.5   16.0
## 2140      F  72 109.0   19.0
## 2141      F  66 110.0   20.0
## 2142      F  67 108.0   18.0
## 2143      M  70 114.0   22.0
## 2144      F  69 117.0   23.0
## 2145      F  65 115.5   22.0
## 2146      F  71 116.0   21.0
## 2147      F  68  96.0   15.0
## 2148      M  67 111.0   21.0
## 2149      F  65 112.5   17.0
## 2150      M  66 104.0   16.0
## 2151      M  71 117.5   22.0
## 2152      F  66 116.5   27.0
## 2153      F  63 119.0   20.0
## 2154      F  71 119.0   19.0
## 2155      F  66 114.0   20.0
## 2156      F  69 109.0   17.0
## 2157      F  74 118.0   20.0
## 2158      F  64 105.0   17.0
## 2159      F  66 109.0   20.0
## 2160      F  74 120.0   24.0
## 2161      M  62 108.0   17.5
## 2162      F  69 118.0   20.0
## 2163      F  63 109.0   19.0
## 2164      M  73 112.0   17.0
## 2165      M  71 115.0   20.0
## 2166      M  72 113.0   18.0
## 2167      M  61 118.0   22.0
## 2168      F  68 122.0   22.0
## 2169      M  68 121.0   24.0
## 2170      F  70 111.0   18.0
## 2171      M  68 104.0   16.0
## 2172      F  67 117.0   22.0
## 2173      F  71 113.0   16.0
## 2174      F  63 114.0   20.0
## 2175      F  68 117.0   24.0
## 2176      F  68 109.0   17.0
## 2177      F  68 117.0   20.0
## 2178      M  69 114.0   22.0
## 2179      F  72 117.0   20.0
## 2180      M  69 117.0   18.0
## 2181      F  69 110.0   19.0
## 2182      M  65 111.0   18.0
## 2183      M  73 115.0   20.0
## 2184      M  62 110.0   19.0
## 2185      F  68 106.0   17.0
## 2186      F  64 103.0   16.0
## 2187      M  64 115.0   19.0
## 2188      F  65 109.0   17.0
## 2189      F  68 111.0   20.0
## 2190      F  69 112.0   20.0
## 2191      M  62 107.0   19.0
## 2192      M  68 101.0   15.0
## 2193      M  65 112.0   19.0
## 2194      M  62 109.0   19.0
## 2195      F  65 112.0   20.0
## 2196      M  73 115.0   18.0
## 2197      M  62 108.0   16.0
## 2198      M  64 120.0   21.0
## 2199      M  70 116.0   20.0
## 2200      M  67 105.0   17.0
## 2201      M  64 111.0   19.0
## 2202      F  65 108.0   18.0
## 2203      F  70 107.0   19.0
## 2204      F  69 106.0   19.0
## 2205      M  66 115.0   24.0
## 2206      M  71 112.0   20.0
## 2207      M  68 117.0   25.0
## 2208      M  61 108.0   20.0
## 2209      M  67 115.0   22.0
## 2210      F  72 116.0   20.0
## 2211      F  69 114.0   18.0
## 2212      F  69 105.0   15.0
## 2213      F  62 109.0   18.0
## 2214      F  64 108.0   19.0
## 2215      F  61 109.0   18.0
## 2216      M  66 119.0   22.0
## 2217      F  67 121.0   21.0
## 2218      M  64 109.0   18.0
## 2219      F  61 105.0   18.0
## 2220      F  67 113.0   18.0
## 2221      M  66 111.0   22.0
## 2222      F  65 104.0   16.0
## 2223      M  64 106.0   18.0
## 2224      F  61 110.0   23.0
## 2225      F  67 115.0   23.0
## 2226      M  62 113.0   22.0
## 2227      F  68 118.0   22.0
## 2228      F  64 114.0   21.0
## 2229      F  73 112.0   20.0
## 2230      M  75 118.0   21.0
## 2231      F  74 107.0   17.0
## 2232      F  72 113.0   21.0
## 2233      M  75 119.0   18.0
## 2234      M  61 113.0   21.0
## 2235      F  61 107.0   19.0
## 2236      F  68 109.0   20.0
## 2237      F  61 113.0   20.0
## 2238      M  65 110.0   19.0
## 2239      M  66 108.0   19.0
## 2240      F  61 107.0   17.0
## 2241      M  67 112.0   19.0
## 2242      M  65 113.0   23.0
## 2243      F  68 108.0   16.0
## 2244      M  67 112.0   20.0
## 2245      F  67 111.0   20.0
## 2246      F  67 112.0   19.0
## 2247      M  62 108.0   24.0
## 2248      F  60 116.0   20.0
## 2249      M  61 112.0   21.0
## 2250      F  68 110.0   19.0
## 2251      F  68 109.0   18.0
## 2252      F  65 110.0   22.0
## 2253      F  70 113.0   18.0
## 2254      M  74 121.0   21.0
## 2255      M  67 114.0   19.0
## 2256      F  69 118.5   22.0
## 2257      M  69 126.0   25.0
## 2258      M  72 119.0   22.0
## 2259      M  63 112.0   19.0
## 2260      M  61 111.0   17.0
## 2261      M  62 107.5   18.5
## 2262      M  61 106.5   16.5
## 2263      M  71 121.0   23.0
## 2264      M  68 116.5   20.0
## 2265      M  61 110.0   17.0
## 2266      M  71 106.0   16.0
## 2267      M  64 108.0   17.0
## 2268      M  63 110.5   17.5
## 2269      M  66 114.0   19.0
## 2270      M  63 105.0   16.0
## 2271      M  71 116.5   22.0
## 2272      M  66 111.0   18.0
## 2273      M  69 118.5   22.0
## 2274      M  61 113.5   19.0
## 2275      M  63 108.0   17.5
## 2276      M  69 113.5   17.5
## 2277      M  62 109.0   17.5
## 2278      M  61 107.0   16.5
## 2279      M  64 106.0   15.0
## 2280      F  62 111.0   18.0
## 2281      F  62 115.5   17.0
## 2282      F  63 108.0   20.0
## 2283      F  69 119.5   21.0
## 2284      F  68 110.5   20.0
## 2285      F  69 115.0   18.0
## 2286      F  67 112.0   17.5
## 2287      F  72 111.5   17.0
## 2288      F  66 106.0   17.0
## 2289      F  61 115.5   19.5
## 2290      F  65 109.0   18.5
## 2291      F  65 116.0   15.0
## 2292      F  72 106.0   16.5
## 2293      F  66 114.0   18.5
## 2294      F  69 117.5   21.0
## 2295      F  70 116.5   21.0
## 2296      F  67 112.0   20.5
## 2297      F  62 110.5   18.0
## 2298      F  72 117.0   19.0
## 2299      F  66 108.0   17.0
## 2300      F  71 109.5   19.0
## 2301      F  71 112.5   18.0
## 2302      F  67 103.5   14.0
## 2303      F  61 116.0   19.0
## 2304      F  61 107.0   17.0
## 2305      M  61 112.0   19.0
## 2306      F  61 112.0   19.5
## 2307      F  61 108.0   19.0
## 2308      M  62 111.5   20.5
## 2309      M  70 112.5   20.0
## 2310      M  62 115.0   19.5
## 2311      M  64 110.5   20.0
## 2312      M  59 115.5   20.5
## 2313      M  64 118.0   21.0
## 2314      M  63 117.0   22.0
## 2315      M  72 109.0   17.0
## 2316      M  59 107.5   17.5
## 2317      M  66 110.5   17.0
## 2318      M  66 115.0   20.0
## 2319      F  68 122.0   20.5
## 2320      F  59 108.0   18.0
## 2321      M  68 112.0   20.5
## 2322      F  62 112.0   19.0
## 2323      M  70 114.5   18.0
## 2324      F  70 110.0   16.5
## 2325      F  72 125.0   35.5
## 2326      F  70 116.0   21.0
## 2327      F  64 105.0   17.5
## 2328      F  69 112.0   21.5
## 2329      F  65 110.5   17.0
## 2330      M  67  99.0   16.0
## 2331      M  68 120.0   20.0
## 2332      M  64 110.0   18.0
## 2333      M  65 115.5   20.0
## 2334      F  59 110.0   17.5
## 2335      M  66 116.5   20.0
## 2336      F  62 112.5   17.0
## 2337      M  60 112.0   21.0
## 2338      F  63 112.5   24.5
## 2339      F  69 107.0   18.5
## 2340      F  59 111.0   20.0
## 2341      M  68 117.0   19.5
## 2342      F  67 118.0   20.0
## 2343      M  72 115.0   21.0
## 2344      M  70 115.0   19.0
## 2345      M  67 109.0   18.0
## 2346      M  67 117.0   24.0
## 2347      M  69 114.0   23.0
## 2348      F  65 110.0   17.0
## 2349      M  70 115.0   20.5
## 2350      F  67 108.0   16.0
## 2351      F  75 115.0   20.0
## 2352      F  67 112.0   19.0
## 2353      M  68 108.0   17.0
## 2354      F  72 108.0   16.0
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## 2864      M  70 121.0   26.0
## 2865      F  67 105.0   16.0
## 2866      M  69 119.0   21.0
## 2867      M  74 111.5   20.0
## 2868      F  69 109.0   18.0
## 2869      M  64 111.0   17.0
## 2870      M  72 120.0   20.0
## 2871      M  64 111.5   20.0
## 2872      F  70 112.5   18.0
## 2873      M  71 114.5   22.0
## 2874      M  64 113.5   18.0
## 2875      F  74 117.5   23.0
## 2876      F  68 116.0   21.0
## 2877      M  69 107.5   16.0
## 2878      M  67 116.5   22.0
## 2879      M  69 114.5   18.0
## 2880      F  69 119.5   22.0
## 2881      M  73 119.0   25.0
## 2882      F  70 116.5   21.0
## 2883      F  71 114.0   19.0
## 2884      F  74 124.0   24.0
## 2885      M  69 102.0   15.0
## 2886      F  68 118.5   23.0
## 2887      F  67 115.5   25.0
## 2888      M  65 122.5   26.0
## 2889      F  66 112.5   20.0
## 2890      M  70 110.0   18.0
## 2891      M  64 109.0   19.5

dH=sort(DATA$H, decreasing=TRUE )
# DH=dH[dH>110] ; DH  length(DH)  cumsum(DH)  faire en deux etpaes ne fonctionne plus
dH

##    [1] 139.0 133.0 130.0 130.0 129.0 129.0 129.0 128.5 128.5 128.0 128.0 128.0
##   [13] 128.0 128.0 127.5 127.0 127.0 127.0 127.0 127.0 127.0 126.5 126.0 126.0
##   [25] 126.0 126.0 126.0 126.0 126.0 126.0 126.0 126.0 125.5 125.5 125.5 125.5
##   [37] 125.0 125.0 125.0 125.0 125.0 125.0 125.0 125.0 125.0 125.0 125.0 125.0
##   [49] 125.0 125.0 124.5 124.5 124.5 124.5 124.5 124.0 124.0 124.0 124.0 124.0
##   [61] 124.0 124.0 124.0 124.0 124.0 124.0 124.0 124.0 124.0 124.0 124.0 124.0
##   [73] 124.0 124.0 123.5 123.5 123.5 123.5 123.5 123.5 123.0 123.0 123.0 123.0
##   [85] 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0
##   [97] 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0 123.0
##  [109] 123.0 123.0 123.0 123.0 122.5 122.5 122.5 122.5 122.5 122.5 122.5 122.5
##  [121] 122.5 122.5 122.5 122.5 122.5 122.5 122.0 122.0 122.0 122.0 122.0 122.0
##  [133] 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0
##  [145] 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0
##  [157] 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0
##  [169] 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 122.0 121.5 121.5
##  [181] 121.5 121.5 121.5 121.5 121.5 121.5 121.5 121.5 121.5 121.0 121.0 121.0
##  [193] 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0
##  [205] 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0
##  [217] 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0
##  [229] 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0
##  [241] 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0 121.0
##  [253] 121.0 121.0 121.0 121.0 120.5 120.5 120.5 120.5 120.5 120.5 120.5 120.0
##  [265] 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0
##  [277] 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0
##  [289] 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0
##  [301] 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0
##  [313] 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0
##  [325] 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0
##  [337] 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 120.0 119.5
##  [349] 119.5 119.5 119.5 119.5 119.5 119.5 119.5 119.5 119.5 119.5 119.5 119.5
##  [361] 119.5 119.5 119.5 119.5 119.5 119.5 119.5 119.0 119.0 119.0 119.0 119.0
##  [373] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0
##  [385] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0
##  [397] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0
##  [409] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0
##  [421] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0
##  [433] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0
##  [445] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0
##  [457] 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 119.0 118.5 118.5
##  [469] 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5
##  [481] 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.5 118.0 118.0
##  [493] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [505] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [517] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [529] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [541] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [553] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [565] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [577] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [589] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [601] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0
##  [613] 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 118.0 117.5
##  [625] 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5
##  [637] 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5 117.5
##  [649] 117.5 117.5 117.5 117.5 117.5 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [661] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [673] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [685] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [697] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [709] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [721] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [733] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [745] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [757] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [769] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [781] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0
##  [793] 117.0 117.0 117.0 117.0 117.0 117.0 117.0 117.0 116.5 116.5 116.5 116.5
##  [805] 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5
##  [817] 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5 116.5
##  [829] 116.5 116.5 116.5 116.5 116.5 116.5 116.0 116.0 116.0 116.0 116.0 116.0
##  [841] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [853] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [865] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [877] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [889] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [901] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [913] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [925] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [937] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [949] 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0 116.0
##  [961] 116.0 116.0 116.0 116.0 116.0 116.0 115.5 115.5 115.5 115.5 115.5 115.5
##  [973] 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5
##  [985] 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5
##  [997] 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5 115.5
## [1009] 115.5 115.5 115.5 115.5 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1021] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1033] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1045] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1057] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1069] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1081] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1093] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1105] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1117] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1129] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1141] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1153] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1165] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1177] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0
## [1189] 115.0 115.0 115.0 115.0 115.0 115.0 115.0 114.5 114.5 114.5 114.5 114.5
## [1201] 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5
## [1213] 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5
## [1225] 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5 114.5
## [1237] 114.5 114.5 114.5 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1249] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1261] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1273] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1285] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1297] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1309] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1321] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1333] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1345] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1357] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1369] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1381] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1393] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1405] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1417] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1429] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0
## [1441] 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 114.0 113.5
## [1453] 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5
## [1465] 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5
## [1477] 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5 113.5
## [1489] 113.5 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1501] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1513] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1525] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1537] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1549] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1561] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1573] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1585] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1597] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1609] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1621] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1633] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1645] 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0 113.0
## [1657] 113.0 113.0 113.0 113.0 113.0 113.0 112.5 112.5 112.5 112.5 112.5 112.5
## [1669] 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5
## [1681] 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5 112.5
## [1693] 112.5 112.5 112.5 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1705] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1717] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1729] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1741] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1753] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1765] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1777] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1789] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1801] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1813] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1825] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1837] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1849] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1861] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1873] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1885] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1897] 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0 112.0
## [1909] 112.0 112.0 112.0 112.0 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5
## [1921] 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5
## [1933] 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5 111.5
## [1945] 111.5 111.5 111.5 111.5 111.5 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [1957] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [1969] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [1981] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [1993] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2005] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2017] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2029] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2041] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2053] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2065] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2077] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2089] 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0 111.0
## [2101] 111.0 111.0 111.0 111.0 111.0 110.5 110.5 110.5 110.5 110.5 110.5 110.5
## [2113] 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5
## [2125] 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5
## [2137] 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5 110.5
## [2149] 110.5 110.5 110.5 110.5 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2161] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2173] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2185] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2197] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2209] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2221] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2233] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2245] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2257] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2269] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2281] 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0
## [2293] 110.0 110.0 110.0 110.0 110.0 110.0 109.5 109.5 109.5 109.5 109.5 109.5
## [2305] 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5
## [2317] 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5 109.5
## [2329] 109.5 109.5 109.5 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2341] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2353] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2365] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2377] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2389] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2401] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2413] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2425] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2437] 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0 109.0
## [2449] 109.0 109.0 109.0 108.5 108.5 108.5 108.5 108.5 108.5 108.5 108.5 108.5
## [2461] 108.5 108.5 108.5 108.5 108.5 108.5 108.5 108.5 108.5 108.0 108.0 108.0
## [2473] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2485] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2497] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2509] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2521] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2533] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2545] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2557] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2569] 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0 108.0
## [2581] 108.0 107.5 107.5 107.5 107.5 107.5 107.5 107.5 107.5 107.5 107.5 107.5
## [2593] 107.5 107.5 107.5 107.5 107.5 107.5 107.5 107.0 107.0 107.0 107.0 107.0
## [2605] 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0
## [2617] 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0
## [2629] 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0
## [2641] 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0
## [2653] 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0
## [2665] 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0 107.0
## [2677] 107.0 107.0 107.0 106.5 106.5 106.5 106.5 106.5 106.5 106.5 106.5 106.5
## [2689] 106.5 106.5 106.5 106.5 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0
## [2701] 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0
## [2713] 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0
## [2725] 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0
## [2737] 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0 106.0
## [2749] 106.0 106.0 106.0 106.0 106.0 106.0 106.0 105.5 105.5 105.5 105.5 105.5
## [2761] 105.5 105.5 105.5 105.5 105.5 105.5 105.0 105.0 105.0 105.0 105.0 105.0
## [2773] 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0
## [2785] 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0
## [2797] 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 105.0 104.5 104.5
## [2809] 104.5 104.5 104.5 104.5 104.5 104.5 104.5 104.5 104.0 104.0 104.0 104.0
## [2821] 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0
## [2833] 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0 104.0
## [2845] 104.0 104.0 104.0 103.5 103.5 103.5 103.5 103.0 103.0 103.0 103.0 103.0
## [2857] 103.0 103.0 103.0 103.0 103.0 103.0 103.0 103.0 103.0 103.0 103.0 102.0
## [2869] 102.0 102.0 102.0 102.0 102.0 102.0 102.0 101.5 101.5 101.0 101.0 101.0
## [2881] 101.0 101.0 101.0 101.0  99.5  99.0  99.0  99.0  99.0  97.0  96.0

cumsum(dH>110)

##    [1]    1    2    3    4    5    6    7    8    9   10   11   12   13   14
##   [15]   15   16   17   18   19   20   21   22   23   24   25   26   27   28
##   [29]   29   30   31   32   33   34   35   36   37   38   39   40   41   42
##   [43]   43   44   45   46   47   48   49   50   51   52   53   54   55   56
##   [57]   57   58   59   60   61   62   63   64   65   66   67   68   69   70
##   [71]   71   72   73   74   75   76   77   78   79   80   81   82   83   84
##   [85]   85   86   87   88   89   90   91   92   93   94   95   96   97   98
##   [99]   99  100  101  102  103  104  105  106  107  108  109  110  111  112
##  [113]  113  114  115  116  117  118  119  120  121  122  123  124  125  126
##  [127]  127  128  129  130  131  132  133  134  135  136  137  138  139  140
##  [141]  141  142  143  144  145  146  147  148  149  150  151  152  153  154
##  [155]  155  156  157  158  159  160  161  162  163  164  165  166  167  168
##  [169]  169  170  171  172  173  174  175  176  177  178  179  180  181  182
##  [183]  183  184  185  186  187  188  189  190  191  192  193  194  195  196
##  [197]  197  198  199  200  201  202  203  204  205  206  207  208  209  210
##  [211]  211  212  213  214  215  216  217  218  219  220  221  222  223  224
##  [225]  225  226  227  228  229  230  231  232  233  234  235  236  237  238
##  [239]  239  240  241  242  243  244  245  246  247  248  249  250  251  252
##  [253]  253  254  255  256  257  258  259  260  261  262  263  264  265  266
##  [267]  267  268  269  270  271  272  273  274  275  276  277  278  279  280
##  [281]  281  282  283  284  285  286  287  288  289  290  291  292  293  294
##  [295]  295  296  297  298  299  300  301  302  303  304  305  306  307  308
##  [309]  309  310  311  312  313  314  315  316  317  318  319  320  321  322
##  [323]  323  324  325  326  327  328  329  330  331  332  333  334  335  336
##  [337]  337  338  339  340  341  342  343  344  345  346  347  348  349  350
##  [351]  351  352  353  354  355  356  357  358  359  360  361  362  363  364
##  [365]  365  366  367  368  369  370  371  372  373  374  375  376  377  378
##  [379]  379  380  381  382  383  384  385  386  387  388  389  390  391  392
##  [393]  393  394  395  396  397  398  399  400  401  402  403  404  405  406
##  [407]  407  408  409  410  411  412  413  414  415  416  417  418  419  420
##  [421]  421  422  423  424  425  426  427  428  429  430  431  432  433  434
##  [435]  435  436  437  438  439  440  441  442  443  444  445  446  447  448
##  [449]  449  450  451  452  453  454  455  456  457  458  459  460  461  462
##  [463]  463  464  465  466  467  468  469  470  471  472  473  474  475  476
##  [477]  477  478  479  480  481  482  483  484  485  486  487  488  489  490
##  [491]  491  492  493  494  495  496  497  498  499  500  501  502  503  504
##  [505]  505  506  507  508  509  510  511  512  513  514  515  516  517  518
##  [519]  519  520  521  522  523  524  525  526  527  528  529  530  531  532
##  [533]  533  534  535  536  537  538  539  540  541  542  543  544  545  546
##  [547]  547  548  549  550  551  552  553  554  555  556  557  558  559  560
##  [561]  561  562  563  564  565  566  567  568  569  570  571  572  573  574
##  [575]  575  576  577  578  579  580  581  582  583  584  585  586  587  588
##  [589]  589  590  591  592  593  594  595  596  597  598  599  600  601  602
##  [603]  603  604  605  606  607  608  609  610  611  612  613  614  615  616
##  [617]  617  618  619  620  621  622  623  624  625  626  627  628  629  630
##  [631]  631  632  633  634  635  636  637  638  639  640  641  642  643  644
##  [645]  645  646  647  648  649  650  651  652  653  654  655  656  657  658
##  [659]  659  660  661  662  663  664  665  666  667  668  669  670  671  672
##  [673]  673  674  675  676  677  678  679  680  681  682  683  684  685  686
##  [687]  687  688  689  690  691  692  693  694  695  696  697  698  699  700
##  [701]  701  702  703  704  705  706  707  708  709  710  711  712  713  714
##  [715]  715  716  717  718  719  720  721  722  723  724  725  726  727  728
##  [729]  729  730  731  732  733  734  735  736  737  738  739  740  741  742
##  [743]  743  744  745  746  747  748  749  750  751  752  753  754  755  756
##  [757]  757  758  759  760  761  762  763  764  765  766  767  768  769  770
##  [771]  771  772  773  774  775  776  777  778  779  780  781  782  783  784
##  [785]  785  786  787  788  789  790  791  792  793  794  795  796  797  798
##  [799]  799  800  801  802  803  804  805  806  807  808  809  810  811  812
##  [813]  813  814  815  816  817  818  819  820  821  822  823  824  825  826
##  [827]  827  828  829  830  831  832  833  834  835  836  837  838  839  840
##  [841]  841  842  843  844  845  846  847  848  849  850  851  852  853  854
##  [855]  855  856  857  858  859  860  861  862  863  864  865  866  867  868
##  [869]  869  870  871  872  873  874  875  876  877  878  879  880  881  882
##  [883]  883  884  885  886  887  888  889  890  891  892  893  894  895  896
##  [897]  897  898  899  900  901  902  903  904  905  906  907  908  909  910
##  [911]  911  912  913  914  915  916  917  918  919  920  921  922  923  924
##  [925]  925  926  927  928  929  930  931  932  933  934  935  936  937  938
##  [939]  939  940  941  942  943  944  945  946  947  948  949  950  951  952
##  [953]  953  954  955  956  957  958  959  960  961  962  963  964  965  966
##  [967]  967  968  969  970  971  972  973  974  975  976  977  978  979  980
##  [981]  981  982  983  984  985  986  987  988  989  990  991  992  993  994
##  [995]  995  996  997  998  999 1000 1001 1002 1003 1004 1005 1006 1007 1008
## [1009] 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022
## [1023] 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036
## [1037] 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050
## [1051] 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064
## [1065] 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078
## [1079] 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092
## [1093] 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106
## [1107] 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
## [1121] 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134
## [1135] 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148
## [1149] 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162
## [1163] 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176
## [1177] 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190
## [1191] 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204
## [1205] 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218
## [1219] 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
## [1233] 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246
## [1247] 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260
## [1261] 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274
## [1275] 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288
## [1289] 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302
## [1303] 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316
## [1317] 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330
## [1331] 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
## [1345] 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358
## [1359] 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372
## [1373] 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386
## [1387] 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400
## [1401] 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414
## [1415] 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428
## [1429] 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442
## [1443] 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
## [1457] 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470
## [1471] 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484
## [1485] 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498
## [1499] 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512
## [1513] 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526
## [1527] 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540
## [1541] 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554
## [1555] 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
## [1569] 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582
## [1583] 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596
## [1597] 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610
## [1611] 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624
## [1625] 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638
## [1639] 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652
## [1653] 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666
## [1667] 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
## [1681] 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694
## [1695] 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708
## [1709] 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722
## [1723] 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736
## [1737] 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750
## [1751] 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764
## [1765] 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778
## [1779] 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
## [1793] 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806
## [1807] 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820
## [1821] 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834
## [1835] 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848
## [1849] 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862
## [1863] 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876
## [1877] 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890
## [1891] 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
## [1905] 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918
## [1919] 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932
## [1933] 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946
## [1947] 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960
## [1961] 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974
## [1975] 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988
## [1989] 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002
## [2003] 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
## [2017] 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030
## [2031] 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044
## [2045] 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058
## [2059] 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072
## [2073] 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086
## [2087] 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100
## [2101] 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114
## [2115] 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128
## [2129] 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142
## [2143] 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2152 2152 2152 2152
## [2157] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2171] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2185] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2199] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2213] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2227] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2241] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2255] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2269] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2283] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2297] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2311] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2325] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2339] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2353] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2367] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2381] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2395] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2409] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2423] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2437] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2451] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2465] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2479] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2493] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2507] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2521] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2535] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2549] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2563] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2577] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2591] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2605] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2619] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2633] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2647] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2661] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2675] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2689] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2703] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2717] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2731] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2745] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2759] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2773] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2787] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2801] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2815] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2829] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2843] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2857] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2871] 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152 2152
## [2885] 2152 2152 2152 2152 2152 2152 2152

fercumDH=cumsum(dH>110)/ length(dH) ; fercumDH

##    [1] 0.0003459011 0.0006918021 0.0010377032 0.0013836043 0.0017295054
##    [6] 0.0020754064 0.0024213075 0.0027672086 0.0031131097 0.0034590107
##   [11] 0.0038049118 0.0041508129 0.0044967139 0.0048426150 0.0051885161
##   [16] 0.0055344172 0.0058803182 0.0062262193 0.0065721204 0.0069180214
##   [21] 0.0072639225 0.0076098236 0.0079557247 0.0083016257 0.0086475268
##   [26] 0.0089934279 0.0093393290 0.0096852300 0.0100311311 0.0103770322
##   [31] 0.0107229332 0.0110688343 0.0114147354 0.0117606365 0.0121065375
##   [36] 0.0124524386 0.0127983397 0.0131442407 0.0134901418 0.0138360429
##   [41] 0.0141819440 0.0145278450 0.0148737461 0.0152196472 0.0155655483
##   [46] 0.0159114493 0.0162573504 0.0166032515 0.0169491525 0.0172950536
##   [51] 0.0176409547 0.0179868558 0.0183327568 0.0186786579 0.0190245590
##   [56] 0.0193704600 0.0197163611 0.0200622622 0.0204081633 0.0207540643
##   [61] 0.0210999654 0.0214458665 0.0217917676 0.0221376686 0.0224835697
##   [66] 0.0228294708 0.0231753718 0.0235212729 0.0238671740 0.0242130751
##   [71] 0.0245589761 0.0249048772 0.0252507783 0.0255966793 0.0259425804
##   [76] 0.0262884815 0.0266343826 0.0269802836 0.0273261847 0.0276720858
##   [81] 0.0280179869 0.0283638879 0.0287097890 0.0290556901 0.0294015911
##   [86] 0.0297474922 0.0300933933 0.0304392944 0.0307851954 0.0311310965
##   [91] 0.0314769976 0.0318228987 0.0321687997 0.0325147008 0.0328606019
##   [96] 0.0332065029 0.0335524040 0.0338983051 0.0342442062 0.0345901072
##  [101] 0.0349360083 0.0352819094 0.0356278104 0.0359737115 0.0363196126
##  [106] 0.0366655137 0.0370114147 0.0373573158 0.0377032169 0.0380491180
##  [111] 0.0383950190 0.0387409201 0.0390868212 0.0394327222 0.0397786233
##  [116] 0.0401245244 0.0404704255 0.0408163265 0.0411622276 0.0415081287
##  [121] 0.0418540297 0.0421999308 0.0425458319 0.0428917330 0.0432376340
##  [126] 0.0435835351 0.0439294362 0.0442753373 0.0446212383 0.0449671394
##  [131] 0.0453130405 0.0456589415 0.0460048426 0.0463507437 0.0466966448
##  [136] 0.0470425458 0.0473884469 0.0477343480 0.0480802490 0.0484261501
##  [141] 0.0487720512 0.0491179523 0.0494638533 0.0498097544 0.0501556555
##  [146] 0.0505015566 0.0508474576 0.0511933587 0.0515392598 0.0518851608
##  [151] 0.0522310619 0.0525769630 0.0529228641 0.0532687651 0.0536146662
##  [156] 0.0539605673 0.0543064684 0.0546523694 0.0549982705 0.0553441716
##  [161] 0.0556900726 0.0560359737 0.0563818748 0.0567277759 0.0570736769
##  [166] 0.0574195780 0.0577654791 0.0581113801 0.0584572812 0.0588031823
##  [171] 0.0591490834 0.0594949844 0.0598408855 0.0601867866 0.0605326877
##  [176] 0.0608785887 0.0612244898 0.0615703909 0.0619162919 0.0622621930
##  [181] 0.0626080941 0.0629539952 0.0632998962 0.0636457973 0.0639916984
##  [186] 0.0643375994 0.0646835005 0.0650294016 0.0653753027 0.0657212037
##  [191] 0.0660671048 0.0664130059 0.0667589070 0.0671048080 0.0674507091
##  [196] 0.0677966102 0.0681425112 0.0684884123 0.0688343134 0.0691802145
##  [201] 0.0695261155 0.0698720166 0.0702179177 0.0705638187 0.0709097198
##  [206] 0.0712556209 0.0716015220 0.0719474230 0.0722933241 0.0726392252
##  [211] 0.0729851263 0.0733310273 0.0736769284 0.0740228295 0.0743687305
##  [216] 0.0747146316 0.0750605327 0.0754064338 0.0757523348 0.0760982359
##  [221] 0.0764441370 0.0767900380 0.0771359391 0.0774818402 0.0778277413
##  [226] 0.0781736423 0.0785195434 0.0788654445 0.0792113456 0.0795572466
##  [231] 0.0799031477 0.0802490488 0.0805949498 0.0809408509 0.0812867520
##  [236] 0.0816326531 0.0819785541 0.0823244552 0.0826703563 0.0830162574
##  [241] 0.0833621584 0.0837080595 0.0840539606 0.0843998616 0.0847457627
##  [246] 0.0850916638 0.0854375649 0.0857834659 0.0861293670 0.0864752681
##  [251] 0.0868211691 0.0871670702 0.0875129713 0.0878588724 0.0882047734
##  [256] 0.0885506745 0.0888965756 0.0892424767 0.0895883777 0.0899342788
##  [261] 0.0902801799 0.0906260809 0.0909719820 0.0913178831 0.0916637842
##  [266] 0.0920096852 0.0923555863 0.0927014874 0.0930473884 0.0933932895
##  [271] 0.0937391906 0.0940850917 0.0944309927 0.0947768938 0.0951227949
##  [276] 0.0954686960 0.0958145970 0.0961604981 0.0965063992 0.0968523002
##  [281] 0.0971982013 0.0975441024 0.0978900035 0.0982359045 0.0985818056
##  [286] 0.0989277067 0.0992736077 0.0996195088 0.0999654099 0.1003113110
##  [291] 0.1006572120 0.1010031131 0.1013490142 0.1016949153 0.1020408163
##  [296] 0.1023867174 0.1027326185 0.1030785195 0.1034244206 0.1037703217
##  [301] 0.1041162228 0.1044621238 0.1048080249 0.1051539260 0.1054998270
##  [306] 0.1058457281 0.1061916292 0.1065375303 0.1068834313 0.1072293324
##  [311] 0.1075752335 0.1079211346 0.1082670356 0.1086129367 0.1089588378
##  [316] 0.1093047388 0.1096506399 0.1099965410 0.1103424421 0.1106883431
##  [321] 0.1110342442 0.1113801453 0.1117260464 0.1120719474 0.1124178485
##  [326] 0.1127637496 0.1131096506 0.1134555517 0.1138014528 0.1141473539
##  [331] 0.1144932549 0.1148391560 0.1151850571 0.1155309581 0.1158768592
##  [336] 0.1162227603 0.1165686614 0.1169145624 0.1172604635 0.1176063646
##  [341] 0.1179522657 0.1182981667 0.1186440678 0.1189899689 0.1193358699
##  [346] 0.1196817710 0.1200276721 0.1203735732 0.1207194742 0.1210653753
##  [351] 0.1214112764 0.1217571774 0.1221030785 0.1224489796 0.1227948807
##  [356] 0.1231407817 0.1234866828 0.1238325839 0.1241784850 0.1245243860
##  [361] 0.1248702871 0.1252161882 0.1255620892 0.1259079903 0.1262538914
##  [366] 0.1265997925 0.1269456935 0.1272915946 0.1276374957 0.1279833967
##  [371] 0.1283292978 0.1286751989 0.1290211000 0.1293670010 0.1297129021
##  [376] 0.1300588032 0.1304047043 0.1307506053 0.1310965064 0.1314424075
##  [381] 0.1317883085 0.1321342096 0.1324801107 0.1328260118 0.1331719128
##  [386] 0.1335178139 0.1338637150 0.1342096160 0.1345555171 0.1349014182
##  [391] 0.1352473193 0.1355932203 0.1359391214 0.1362850225 0.1366309236
##  [396] 0.1369768246 0.1373227257 0.1376686268 0.1380145278 0.1383604289
##  [401] 0.1387063300 0.1390522311 0.1393981321 0.1397440332 0.1400899343
##  [406] 0.1404358354 0.1407817364 0.1411276375 0.1414735386 0.1418194396
##  [411] 0.1421653407 0.1425112418 0.1428571429 0.1432030439 0.1435489450
##  [416] 0.1438948461 0.1442407471 0.1445866482 0.1449325493 0.1452784504
##  [421] 0.1456243514 0.1459702525 0.1463161536 0.1466620547 0.1470079557
##  [426] 0.1473538568 0.1476997579 0.1480456589 0.1483915600 0.1487374611
##  [431] 0.1490833622 0.1494292632 0.1497751643 0.1501210654 0.1504669664
##  [436] 0.1508128675 0.1511587686 0.1515046697 0.1518505707 0.1521964718
##  [441] 0.1525423729 0.1528882740 0.1532341750 0.1535800761 0.1539259772
##  [446] 0.1542718782 0.1546177793 0.1549636804 0.1553095815 0.1556554825
##  [451] 0.1560013836 0.1563472847 0.1566931857 0.1570390868 0.1573849879
##  [456] 0.1577308890 0.1580767900 0.1584226911 0.1587685922 0.1591144933
##  [461] 0.1594603943 0.1598062954 0.1601521965 0.1604980975 0.1608439986
##  [466] 0.1611898997 0.1615358008 0.1618817018 0.1622276029 0.1625735040
##  [471] 0.1629194051 0.1632653061 0.1636112072 0.1639571083 0.1643030093
##  [476] 0.1646489104 0.1649948115 0.1653407126 0.1656866136 0.1660325147
##  [481] 0.1663784158 0.1667243168 0.1670702179 0.1674161190 0.1677620201
##  [486] 0.1681079211 0.1684538222 0.1687997233 0.1691456244 0.1694915254
##  [491] 0.1698374265 0.1701833276 0.1705292286 0.1708751297 0.1712210308
##  [496] 0.1715669319 0.1719128329 0.1722587340 0.1726046351 0.1729505361
##  [501] 0.1732964372 0.1736423383 0.1739882394 0.1743341404 0.1746800415
##  [506] 0.1750259426 0.1753718437 0.1757177447 0.1760636458 0.1764095469
##  [511] 0.1767554479 0.1771013490 0.1774472501 0.1777931512 0.1781390522
##  [516] 0.1784849533 0.1788308544 0.1791767554 0.1795226565 0.1798685576
##  [521] 0.1802144587 0.1805603597 0.1809062608 0.1812521619 0.1815980630
##  [526] 0.1819439640 0.1822898651 0.1826357662 0.1829816672 0.1833275683
##  [531] 0.1836734694 0.1840193705 0.1843652715 0.1847111726 0.1850570737
##  [536] 0.1854029747 0.1857488758 0.1860947769 0.1864406780 0.1867865790
##  [541] 0.1871324801 0.1874783812 0.1878242823 0.1881701833 0.1885160844
##  [546] 0.1888619855 0.1892078865 0.1895537876 0.1898996887 0.1902455898
##  [551] 0.1905914908 0.1909373919 0.1912832930 0.1916291941 0.1919750951
##  [556] 0.1923209962 0.1926668973 0.1930127983 0.1933586994 0.1937046005
##  [561] 0.1940505016 0.1943964026 0.1947423037 0.1950882048 0.1954341058
##  [566] 0.1957800069 0.1961259080 0.1964718091 0.1968177101 0.1971636112
##  [571] 0.1975095123 0.1978554134 0.1982013144 0.1985472155 0.1988931166
##  [576] 0.1992390176 0.1995849187 0.1999308198 0.2002767209 0.2006226219
##  [581] 0.2009685230 0.2013144241 0.2016603251 0.2020062262 0.2023521273
##  [586] 0.2026980284 0.2030439294 0.2033898305 0.2037357316 0.2040816327
##  [591] 0.2044275337 0.2047734348 0.2051193359 0.2054652369 0.2058111380
##  [596] 0.2061570391 0.2065029402 0.2068488412 0.2071947423 0.2075406434
##  [601] 0.2078865444 0.2082324455 0.2085783466 0.2089242477 0.2092701487
##  [606] 0.2096160498 0.2099619509 0.2103078520 0.2106537530 0.2109996541
##  [611] 0.2113455552 0.2116914562 0.2120373573 0.2123832584 0.2127291595
##  [616] 0.2130750605 0.2134209616 0.2137668627 0.2141127637 0.2144586648
##  [621] 0.2148045659 0.2151504670 0.2154963680 0.2158422691 0.2161881702
##  [626] 0.2165340713 0.2168799723 0.2172258734 0.2175717745 0.2179176755
##  [631] 0.2182635766 0.2186094777 0.2189553788 0.2193012798 0.2196471809
##  [636] 0.2199930820 0.2203389831 0.2206848841 0.2210307852 0.2213766863
##  [641] 0.2217225873 0.2220684884 0.2224143895 0.2227602906 0.2231061916
##  [646] 0.2234520927 0.2237979938 0.2241438948 0.2244897959 0.2248356970
##  [651] 0.2251815981 0.2255274991 0.2258734002 0.2262193013 0.2265652024
##  [656] 0.2269111034 0.2272570045 0.2276029056 0.2279488066 0.2282947077
##  [661] 0.2286406088 0.2289865099 0.2293324109 0.2296783120 0.2300242131
##  [666] 0.2303701141 0.2307160152 0.2310619163 0.2314078174 0.2317537184
##  [671] 0.2320996195 0.2324455206 0.2327914217 0.2331373227 0.2334832238
##  [676] 0.2338291249 0.2341750259 0.2345209270 0.2348668281 0.2352127292
##  [681] 0.2355586302 0.2359045313 0.2362504324 0.2365963334 0.2369422345
##  [686] 0.2372881356 0.2376340367 0.2379799377 0.2383258388 0.2386717399
##  [691] 0.2390176410 0.2393635420 0.2397094431 0.2400553442 0.2404012452
##  [696] 0.2407471463 0.2410930474 0.2414389485 0.2417848495 0.2421307506
##  [701] 0.2424766517 0.2428225527 0.2431684538 0.2435143549 0.2438602560
##  [706] 0.2442061570 0.2445520581 0.2448979592 0.2452438603 0.2455897613
##  [711] 0.2459356624 0.2462815635 0.2466274645 0.2469733656 0.2473192667
##  [716] 0.2476651678 0.2480110688 0.2483569699 0.2487028710 0.2490487721
##  [721] 0.2493946731 0.2497405742 0.2500864753 0.2504323763 0.2507782774
##  [726] 0.2511241785 0.2514700796 0.2518159806 0.2521618817 0.2525077828
##  [731] 0.2528536838 0.2531995849 0.2535454860 0.2538913871 0.2542372881
##  [736] 0.2545831892 0.2549290903 0.2552749914 0.2556208924 0.2559667935
##  [741] 0.2563126946 0.2566585956 0.2570044967 0.2573503978 0.2576962989
##  [746] 0.2580421999 0.2583881010 0.2587340021 0.2590799031 0.2594258042
##  [751] 0.2597717053 0.2601176064 0.2604635074 0.2608094085 0.2611553096
##  [756] 0.2615012107 0.2618471117 0.2621930128 0.2625389139 0.2628848149
##  [761] 0.2632307160 0.2635766171 0.2639225182 0.2642684192 0.2646143203
##  [766] 0.2649602214 0.2653061224 0.2656520235 0.2659979246 0.2663438257
##  [771] 0.2666897267 0.2670356278 0.2673815289 0.2677274300 0.2680733310
##  [776] 0.2684192321 0.2687651332 0.2691110342 0.2694569353 0.2698028364
##  [781] 0.2701487375 0.2704946385 0.2708405396 0.2711864407 0.2715323418
##  [786] 0.2718782428 0.2722241439 0.2725700450 0.2729159460 0.2732618471
##  [791] 0.2736077482 0.2739536493 0.2742995503 0.2746454514 0.2749913525
##  [796] 0.2753372535 0.2756831546 0.2760290557 0.2763749568 0.2767208578
##  [801] 0.2770667589 0.2774126600 0.2777585611 0.2781044621 0.2784503632
##  [806] 0.2787962643 0.2791421653 0.2794880664 0.2798339675 0.2801798686
##  [811] 0.2805257696 0.2808716707 0.2812175718 0.2815634728 0.2819093739
##  [816] 0.2822552750 0.2826011761 0.2829470771 0.2832929782 0.2836388793
##  [821] 0.2839847804 0.2843306814 0.2846765825 0.2850224836 0.2853683846
##  [826] 0.2857142857 0.2860601868 0.2864060879 0.2867519889 0.2870978900
##  [831] 0.2874437911 0.2877896921 0.2881355932 0.2884814943 0.2888273954
##  [836] 0.2891732964 0.2895191975 0.2898650986 0.2902109997 0.2905569007
##  [841] 0.2909028018 0.2912487029 0.2915946039 0.2919405050 0.2922864061
##  [846] 0.2926323072 0.2929782082 0.2933241093 0.2936700104 0.2940159114
##  [851] 0.2943618125 0.2947077136 0.2950536147 0.2953995157 0.2957454168
##  [856] 0.2960913179 0.2964372190 0.2967831200 0.2971290211 0.2974749222
##  [861] 0.2978208232 0.2981667243 0.2985126254 0.2988585265 0.2992044275
##  [866] 0.2995503286 0.2998962297 0.3002421308 0.3005880318 0.3009339329
##  [871] 0.3012798340 0.3016257350 0.3019716361 0.3023175372 0.3026634383
##  [876] 0.3030093393 0.3033552404 0.3037011415 0.3040470425 0.3043929436
##  [881] 0.3047388447 0.3050847458 0.3054306468 0.3057765479 0.3061224490
##  [886] 0.3064683501 0.3068142511 0.3071601522 0.3075060533 0.3078519543
##  [891] 0.3081978554 0.3085437565 0.3088896576 0.3092355586 0.3095814597
##  [896] 0.3099273608 0.3102732618 0.3106191629 0.3109650640 0.3113109651
##  [901] 0.3116568661 0.3120027672 0.3123486683 0.3126945694 0.3130404704
##  [906] 0.3133863715 0.3137322726 0.3140781736 0.3144240747 0.3147699758
##  [911] 0.3151158769 0.3154617779 0.3158076790 0.3161535801 0.3164994811
##  [916] 0.3168453822 0.3171912833 0.3175371844 0.3178830854 0.3182289865
##  [921] 0.3185748876 0.3189207887 0.3192666897 0.3196125908 0.3199584919
##  [926] 0.3203043929 0.3206502940 0.3209961951 0.3213420962 0.3216879972
##  [931] 0.3220338983 0.3223797994 0.3227257004 0.3230716015 0.3234175026
##  [936] 0.3237634037 0.3241093047 0.3244552058 0.3248011069 0.3251470080
##  [941] 0.3254929090 0.3258388101 0.3261847112 0.3265306122 0.3268765133
##  [946] 0.3272224144 0.3275683155 0.3279142165 0.3282601176 0.3286060187
##  [951] 0.3289519198 0.3292978208 0.3296437219 0.3299896230 0.3303355240
##  [956] 0.3306814251 0.3310273262 0.3313732273 0.3317191283 0.3320650294
##  [961] 0.3324109305 0.3327568315 0.3331027326 0.3334486337 0.3337945348
##  [966] 0.3341404358 0.3344863369 0.3348322380 0.3351781391 0.3355240401
##  [971] 0.3358699412 0.3362158423 0.3365617433 0.3369076444 0.3372535455
##  [976] 0.3375994466 0.3379453476 0.3382912487 0.3386371498 0.3389830508
##  [981] 0.3393289519 0.3396748530 0.3400207541 0.3403666551 0.3407125562
##  [986] 0.3410584573 0.3414043584 0.3417502594 0.3420961605 0.3424420616
##  [991] 0.3427879626 0.3431338637 0.3434797648 0.3438256659 0.3441715669
##  [996] 0.3445174680 0.3448633691 0.3452092701 0.3455551712 0.3459010723
## [1001] 0.3462469734 0.3465928744 0.3469387755 0.3472846766 0.3476305777
## [1006] 0.3479764787 0.3483223798 0.3486682809 0.3490141819 0.3493600830
## [1011] 0.3497059841 0.3500518852 0.3503977862 0.3507436873 0.3510895884
## [1016] 0.3514354895 0.3517813905 0.3521272916 0.3524731927 0.3528190937
## [1021] 0.3531649948 0.3535108959 0.3538567970 0.3542026980 0.3545485991
## [1026] 0.3548945002 0.3552404012 0.3555863023 0.3559322034 0.3562781045
## [1031] 0.3566240055 0.3569699066 0.3573158077 0.3576617088 0.3580076098
## [1036] 0.3583535109 0.3586994120 0.3590453130 0.3593912141 0.3597371152
## [1041] 0.3600830163 0.3604289173 0.3607748184 0.3611207195 0.3614666205
## [1046] 0.3618125216 0.3621584227 0.3625043238 0.3628502248 0.3631961259
## [1051] 0.3635420270 0.3638879281 0.3642338291 0.3645797302 0.3649256313
## [1056] 0.3652715323 0.3656174334 0.3659633345 0.3663092356 0.3666551366
## [1061] 0.3670010377 0.3673469388 0.3676928398 0.3680387409 0.3683846420
## [1066] 0.3687305431 0.3690764441 0.3694223452 0.3697682463 0.3701141474
## [1071] 0.3704600484 0.3708059495 0.3711518506 0.3714977516 0.3718436527
## [1076] 0.3721895538 0.3725354549 0.3728813559 0.3732272570 0.3735731581
## [1081] 0.3739190591 0.3742649602 0.3746108613 0.3749567624 0.3753026634
## [1086] 0.3756485645 0.3759944656 0.3763403667 0.3766862677 0.3770321688
## [1091] 0.3773780699 0.3777239709 0.3780698720 0.3784157731 0.3787616742
## [1096] 0.3791075752 0.3794534763 0.3797993774 0.3801452785 0.3804911795
## [1101] 0.3808370806 0.3811829817 0.3815288827 0.3818747838 0.3822206849
## [1106] 0.3825665860 0.3829124870 0.3832583881 0.3836042892 0.3839501902
## [1111] 0.3842960913 0.3846419924 0.3849878935 0.3853337945 0.3856796956
## [1116] 0.3860255967 0.3863714978 0.3867173988 0.3870632999 0.3874092010
## [1121] 0.3877551020 0.3881010031 0.3884469042 0.3887928053 0.3891387063
## [1126] 0.3894846074 0.3898305085 0.3901764095 0.3905223106 0.3908682117
## [1131] 0.3912141128 0.3915600138 0.3919059149 0.3922518160 0.3925977171
## [1136] 0.3929436181 0.3932895192 0.3936354203 0.3939813213 0.3943272224
## [1141] 0.3946731235 0.3950190246 0.3953649256 0.3957108267 0.3960567278
## [1146] 0.3964026288 0.3967485299 0.3970944310 0.3974403321 0.3977862331
## [1151] 0.3981321342 0.3984780353 0.3988239364 0.3991698374 0.3995157385
## [1156] 0.3998616396 0.4002075406 0.4005534417 0.4008993428 0.4012452439
## [1161] 0.4015911449 0.4019370460 0.4022829471 0.4026288481 0.4029747492
## [1166] 0.4033206503 0.4036665514 0.4040124524 0.4043583535 0.4047042546
## [1171] 0.4050501557 0.4053960567 0.4057419578 0.4060878589 0.4064337599
## [1176] 0.4067796610 0.4071255621 0.4074714632 0.4078173642 0.4081632653
## [1181] 0.4085091664 0.4088550675 0.4092009685 0.4095468696 0.4098927707
## [1186] 0.4102386717 0.4105845728 0.4109304739 0.4112763750 0.4116222760
## [1191] 0.4119681771 0.4123140782 0.4126599792 0.4130058803 0.4133517814
## [1196] 0.4136976825 0.4140435835 0.4143894846 0.4147353857 0.4150812868
## [1201] 0.4154271878 0.4157730889 0.4161189900 0.4164648910 0.4168107921
## [1206] 0.4171566932 0.4175025943 0.4178484953 0.4181943964 0.4185402975
## [1211] 0.4188861985 0.4192320996 0.4195780007 0.4199239018 0.4202698028
## [1216] 0.4206157039 0.4209616050 0.4213075061 0.4216534071 0.4219993082
## [1221] 0.4223452093 0.4226911103 0.4230370114 0.4233829125 0.4237288136
## [1226] 0.4240747146 0.4244206157 0.4247665168 0.4251124178 0.4254583189
## [1231] 0.4258042200 0.4261501211 0.4264960221 0.4268419232 0.4271878243
## [1236] 0.4275337254 0.4278796264 0.4282255275 0.4285714286 0.4289173296
## [1241] 0.4292632307 0.4296091318 0.4299550329 0.4303009339 0.4306468350
## [1246] 0.4309927361 0.4313386371 0.4316845382 0.4320304393 0.4323763404
## [1251] 0.4327222414 0.4330681425 0.4334140436 0.4337599447 0.4341058457
## [1256] 0.4344517468 0.4347976479 0.4351435489 0.4354894500 0.4358353511
## [1261] 0.4361812522 0.4365271532 0.4368730543 0.4372189554 0.4375648565
## [1266] 0.4379107575 0.4382566586 0.4386025597 0.4389484607 0.4392943618
## [1271] 0.4396402629 0.4399861640 0.4403320650 0.4406779661 0.4410238672
## [1276] 0.4413697682 0.4417156693 0.4420615704 0.4424074715 0.4427533725
## [1281] 0.4430992736 0.4434451747 0.4437910758 0.4441369768 0.4444828779
## [1286] 0.4448287790 0.4451746800 0.4455205811 0.4458664822 0.4462123833
## [1291] 0.4465582843 0.4469041854 0.4472500865 0.4475959875 0.4479418886
## [1296] 0.4482877897 0.4486336908 0.4489795918 0.4493254929 0.4496713940
## [1301] 0.4500172951 0.4503631961 0.4507090972 0.4510549983 0.4514008993
## [1306] 0.4517468004 0.4520927015 0.4524386026 0.4527845036 0.4531304047
## [1311] 0.4534763058 0.4538222068 0.4541681079 0.4545140090 0.4548599101
## [1316] 0.4552058111 0.4555517122 0.4558976133 0.4562435144 0.4565894154
## [1321] 0.4569353165 0.4572812176 0.4576271186 0.4579730197 0.4583189208
## [1326] 0.4586648219 0.4590107229 0.4593566240 0.4597025251 0.4600484262
## [1331] 0.4603943272 0.4607402283 0.4610861294 0.4614320304 0.4617779315
## [1336] 0.4621238326 0.4624697337 0.4628156347 0.4631615358 0.4635074369
## [1341] 0.4638533379 0.4641992390 0.4645451401 0.4648910412 0.4652369422
## [1346] 0.4655828433 0.4659287444 0.4662746455 0.4666205465 0.4669664476
## [1351] 0.4673123487 0.4676582497 0.4680041508 0.4683500519 0.4686959530
## [1356] 0.4690418540 0.4693877551 0.4697336562 0.4700795572 0.4704254583
## [1361] 0.4707713594 0.4711172605 0.4714631615 0.4718090626 0.4721549637
## [1366] 0.4725008648 0.4728467658 0.4731926669 0.4735385680 0.4738844690
## [1371] 0.4742303701 0.4745762712 0.4749221723 0.4752680733 0.4756139744
## [1376] 0.4759598755 0.4763057765 0.4766516776 0.4769975787 0.4773434798
## [1381] 0.4776893808 0.4780352819 0.4783811830 0.4787270841 0.4790729851
## [1386] 0.4794188862 0.4797647873 0.4801106883 0.4804565894 0.4808024905
## [1391] 0.4811483916 0.4814942926 0.4818401937 0.4821860948 0.4825319958
## [1396] 0.4828778969 0.4832237980 0.4835696991 0.4839156001 0.4842615012
## [1401] 0.4846074023 0.4849533034 0.4852992044 0.4856451055 0.4859910066
## [1406] 0.4863369076 0.4866828087 0.4870287098 0.4873746109 0.4877205119
## [1411] 0.4880664130 0.4884123141 0.4887582152 0.4891041162 0.4894500173
## [1416] 0.4897959184 0.4901418194 0.4904877205 0.4908336216 0.4911795227
## [1421] 0.4915254237 0.4918713248 0.4922172259 0.4925631269 0.4929090280
## [1426] 0.4932549291 0.4936008302 0.4939467312 0.4942926323 0.4946385334
## [1431] 0.4949844345 0.4953303355 0.4956762366 0.4960221377 0.4963680387
## [1436] 0.4967139398 0.4970598409 0.4974057420 0.4977516430 0.4980975441
## [1441] 0.4984434452 0.4987893462 0.4991352473 0.4994811484 0.4998270495
## [1446] 0.5001729505 0.5005188516 0.5008647527 0.5012106538 0.5015565548
## [1451] 0.5019024559 0.5022483570 0.5025942580 0.5029401591 0.5032860602
## [1456] 0.5036319613 0.5039778623 0.5043237634 0.5046696645 0.5050155655
## [1461] 0.5053614666 0.5057073677 0.5060532688 0.5063991698 0.5067450709
## [1466] 0.5070909720 0.5074368731 0.5077827741 0.5081286752 0.5084745763
## [1471] 0.5088204773 0.5091663784 0.5095122795 0.5098581806 0.5102040816
## [1476] 0.5105499827 0.5108958838 0.5112417848 0.5115876859 0.5119335870
## [1481] 0.5122794881 0.5126253891 0.5129712902 0.5133171913 0.5136630924
## [1486] 0.5140089934 0.5143548945 0.5147007956 0.5150466966 0.5153925977
## [1491] 0.5157384988 0.5160843999 0.5164303009 0.5167762020 0.5171221031
## [1496] 0.5174680042 0.5178139052 0.5181598063 0.5185057074 0.5188516084
## [1501] 0.5191975095 0.5195434106 0.5198893117 0.5202352127 0.5205811138
## [1506] 0.5209270149 0.5212729159 0.5216188170 0.5219647181 0.5223106192
## [1511] 0.5226565202 0.5230024213 0.5233483224 0.5236942235 0.5240401245
## [1516] 0.5243860256 0.5247319267 0.5250778277 0.5254237288 0.5257696299
## [1521] 0.5261155310 0.5264614320 0.5268073331 0.5271532342 0.5274991352
## [1526] 0.5278450363 0.5281909374 0.5285368385 0.5288827395 0.5292286406
## [1531] 0.5295745417 0.5299204428 0.5302663438 0.5306122449 0.5309581460
## [1536] 0.5313040470 0.5316499481 0.5319958492 0.5323417503 0.5326876513
## [1541] 0.5330335524 0.5333794535 0.5337253545 0.5340712556 0.5344171567
## [1546] 0.5347630578 0.5351089588 0.5354548599 0.5358007610 0.5361466621
## [1551] 0.5364925631 0.5368384642 0.5371843653 0.5375302663 0.5378761674
## [1556] 0.5382220685 0.5385679696 0.5389138706 0.5392597717 0.5396056728
## [1561] 0.5399515738 0.5402974749 0.5406433760 0.5409892771 0.5413351781
## [1566] 0.5416810792 0.5420269803 0.5423728814 0.5427187824 0.5430646835
## [1571] 0.5434105846 0.5437564856 0.5441023867 0.5444482878 0.5447941889
## [1576] 0.5451400899 0.5454859910 0.5458318921 0.5461777932 0.5465236942
## [1581] 0.5468695953 0.5472154964 0.5475613974 0.5479072985 0.5482531996
## [1586] 0.5485991007 0.5489450017 0.5492909028 0.5496368039 0.5499827049
## [1591] 0.5503286060 0.5506745071 0.5510204082 0.5513663092 0.5517122103
## [1596] 0.5520581114 0.5524040125 0.5527499135 0.5530958146 0.5534417157
## [1601] 0.5537876167 0.5541335178 0.5544794189 0.5548253200 0.5551712210
## [1606] 0.5555171221 0.5558630232 0.5562089242 0.5565548253 0.5569007264
## [1611] 0.5572466275 0.5575925285 0.5579384296 0.5582843307 0.5586302318
## [1616] 0.5589761328 0.5593220339 0.5596679350 0.5600138360 0.5603597371
## [1621] 0.5607056382 0.5610515393 0.5613974403 0.5617433414 0.5620892425
## [1626] 0.5624351435 0.5627810446 0.5631269457 0.5634728468 0.5638187478
## [1631] 0.5641646489 0.5645105500 0.5648564511 0.5652023521 0.5655482532
## [1636] 0.5658941543 0.5662400553 0.5665859564 0.5669318575 0.5672777586
## [1641] 0.5676236596 0.5679695607 0.5683154618 0.5686613629 0.5690072639
## [1646] 0.5693531650 0.5696990661 0.5700449671 0.5703908682 0.5707367693
## [1651] 0.5710826704 0.5714285714 0.5717744725 0.5721203736 0.5724662746
## [1656] 0.5728121757 0.5731580768 0.5735039779 0.5738498789 0.5741957800
## [1661] 0.5745416811 0.5748875822 0.5752334832 0.5755793843 0.5759252854
## [1666] 0.5762711864 0.5766170875 0.5769629886 0.5773088897 0.5776547907
## [1671] 0.5780006918 0.5783465929 0.5786924939 0.5790383950 0.5793842961
## [1676] 0.5797301972 0.5800760982 0.5804219993 0.5807679004 0.5811138015
## [1681] 0.5814597025 0.5818056036 0.5821515047 0.5824974057 0.5828433068
## [1686] 0.5831892079 0.5835351090 0.5838810100 0.5842269111 0.5845728122
## [1691] 0.5849187132 0.5852646143 0.5856105154 0.5859564165 0.5863023175
## [1696] 0.5866482186 0.5869941197 0.5873400208 0.5876859218 0.5880318229
## [1701] 0.5883777240 0.5887236250 0.5890695261 0.5894154272 0.5897613283
## [1706] 0.5901072293 0.5904531304 0.5907990315 0.5911449325 0.5914908336
## [1711] 0.5918367347 0.5921826358 0.5925285368 0.5928744379 0.5932203390
## [1716] 0.5935662401 0.5939121411 0.5942580422 0.5946039433 0.5949498443
## [1721] 0.5952957454 0.5956416465 0.5959875476 0.5963334486 0.5966793497
## [1726] 0.5970252508 0.5973711519 0.5977170529 0.5980629540 0.5984088551
## [1731] 0.5987547561 0.5991006572 0.5994465583 0.5997924594 0.6001383604
## [1736] 0.6004842615 0.6008301626 0.6011760636 0.6015219647 0.6018678658
## [1741] 0.6022137669 0.6025596679 0.6029055690 0.6032514701 0.6035973712
## [1746] 0.6039432722 0.6042891733 0.6046350744 0.6049809754 0.6053268765
## [1751] 0.6056727776 0.6060186787 0.6063645797 0.6067104808 0.6070563819
## [1756] 0.6074022829 0.6077481840 0.6080940851 0.6084399862 0.6087858872
## [1761] 0.6091317883 0.6094776894 0.6098235905 0.6101694915 0.6105153926
## [1766] 0.6108612937 0.6112071947 0.6115530958 0.6118989969 0.6122448980
## [1771] 0.6125907990 0.6129367001 0.6132826012 0.6136285022 0.6139744033
## [1776] 0.6143203044 0.6146662055 0.6150121065 0.6153580076 0.6157039087
## [1781] 0.6160498098 0.6163957108 0.6167416119 0.6170875130 0.6174334140
## [1786] 0.6177793151 0.6181252162 0.6184711173 0.6188170183 0.6191629194
## [1791] 0.6195088205 0.6198547215 0.6202006226 0.6205465237 0.6208924248
## [1796] 0.6212383258 0.6215842269 0.6219301280 0.6222760291 0.6226219301
## [1801] 0.6229678312 0.6233137323 0.6236596333 0.6240055344 0.6243514355
## [1806] 0.6246973366 0.6250432376 0.6253891387 0.6257350398 0.6260809409
## [1811] 0.6264268419 0.6267727430 0.6271186441 0.6274645451 0.6278104462
## [1816] 0.6281563473 0.6285022484 0.6288481494 0.6291940505 0.6295399516
## [1821] 0.6298858526 0.6302317537 0.6305776548 0.6309235559 0.6312694569
## [1826] 0.6316153580 0.6319612591 0.6323071602 0.6326530612 0.6329989623
## [1831] 0.6333448634 0.6336907644 0.6340366655 0.6343825666 0.6347284677
## [1836] 0.6350743687 0.6354202698 0.6357661709 0.6361120719 0.6364579730
## [1841] 0.6368038741 0.6371497752 0.6374956762 0.6378415773 0.6381874784
## [1846] 0.6385333795 0.6388792805 0.6392251816 0.6395710827 0.6399169837
## [1851] 0.6402628848 0.6406087859 0.6409546870 0.6413005880 0.6416464891
## [1856] 0.6419923902 0.6423382912 0.6426841923 0.6430300934 0.6433759945
## [1861] 0.6437218955 0.6440677966 0.6444136977 0.6447595988 0.6451054998
## [1866] 0.6454514009 0.6457973020 0.6461432030 0.6464891041 0.6468350052
## [1871] 0.6471809063 0.6475268073 0.6478727084 0.6482186095 0.6485645105
## [1876] 0.6489104116 0.6492563127 0.6496022138 0.6499481148 0.6502940159
## [1881] 0.6506399170 0.6509858181 0.6513317191 0.6516776202 0.6520235213
## [1886] 0.6523694223 0.6527153234 0.6530612245 0.6534071256 0.6537530266
## [1891] 0.6540989277 0.6544448288 0.6547907299 0.6551366309 0.6554825320
## [1896] 0.6558284331 0.6561743341 0.6565202352 0.6568661363 0.6572120374
## [1901] 0.6575579384 0.6579038395 0.6582497406 0.6585956416 0.6589415427
## [1906] 0.6592874438 0.6596333449 0.6599792459 0.6603251470 0.6606710481
## [1911] 0.6610169492 0.6613628502 0.6617087513 0.6620546524 0.6624005534
## [1916] 0.6627464545 0.6630923556 0.6634382567 0.6637841577 0.6641300588
## [1921] 0.6644759599 0.6648218609 0.6651677620 0.6655136631 0.6658595642
## [1926] 0.6662054652 0.6665513663 0.6668972674 0.6672431685 0.6675890695
## [1931] 0.6679349706 0.6682808717 0.6686267727 0.6689726738 0.6693185749
## [1936] 0.6696644760 0.6700103770 0.6703562781 0.6707021792 0.6710480802
## [1941] 0.6713939813 0.6717398824 0.6720857835 0.6724316845 0.6727775856
## [1946] 0.6731234867 0.6734693878 0.6738152888 0.6741611899 0.6745070910
## [1951] 0.6748529920 0.6751988931 0.6755447942 0.6758906953 0.6762365963
## [1956] 0.6765824974 0.6769283985 0.6772742996 0.6776202006 0.6779661017
## [1961] 0.6783120028 0.6786579038 0.6790038049 0.6793497060 0.6796956071
## [1966] 0.6800415081 0.6803874092 0.6807333103 0.6810792113 0.6814251124
## [1971] 0.6817710135 0.6821169146 0.6824628156 0.6828087167 0.6831546178
## [1976] 0.6835005189 0.6838464199 0.6841923210 0.6845382221 0.6848841231
## [1981] 0.6852300242 0.6855759253 0.6859218264 0.6862677274 0.6866136285
## [1986] 0.6869595296 0.6873054306 0.6876513317 0.6879972328 0.6883431339
## [1991] 0.6886890349 0.6890349360 0.6893808371 0.6897267382 0.6900726392
## [1996] 0.6904185403 0.6907644414 0.6911103424 0.6914562435 0.6918021446
## [2001] 0.6921480457 0.6924939467 0.6928398478 0.6931857489 0.6935316499
## [2006] 0.6938775510 0.6942234521 0.6945693532 0.6949152542 0.6952611553
## [2011] 0.6956070564 0.6959529575 0.6962988585 0.6966447596 0.6969906607
## [2016] 0.6973365617 0.6976824628 0.6980283639 0.6983742650 0.6987201660
## [2021] 0.6990660671 0.6994119682 0.6997578692 0.7001037703 0.7004496714
## [2026] 0.7007955725 0.7011414735 0.7014873746 0.7018332757 0.7021791768
## [2031] 0.7025250778 0.7028709789 0.7032168800 0.7035627810 0.7039086821
## [2036] 0.7042545832 0.7046004843 0.7049463853 0.7052922864 0.7056381875
## [2041] 0.7059840886 0.7063299896 0.7066758907 0.7070217918 0.7073676928
## [2046] 0.7077135939 0.7080594950 0.7084053961 0.7087512971 0.7090971982
## [2051] 0.7094430993 0.7097890003 0.7101349014 0.7104808025 0.7108267036
## [2056] 0.7111726046 0.7115185057 0.7118644068 0.7122103079 0.7125562089
## [2061] 0.7129021100 0.7132480111 0.7135939121 0.7139398132 0.7142857143
## [2066] 0.7146316154 0.7149775164 0.7153234175 0.7156693186 0.7160152196
## [2071] 0.7163611207 0.7167070218 0.7170529229 0.7173988239 0.7177447250
## [2076] 0.7180906261 0.7184365272 0.7187824282 0.7191283293 0.7194742304
## [2081] 0.7198201314 0.7201660325 0.7205119336 0.7208578347 0.7212037357
## [2086] 0.7215496368 0.7218955379 0.7222414389 0.7225873400 0.7229332411
## [2091] 0.7232791422 0.7236250432 0.7239709443 0.7243168454 0.7246627465
## [2096] 0.7250086475 0.7253545486 0.7257004497 0.7260463507 0.7263922518
## [2101] 0.7267381529 0.7270840540 0.7274299550 0.7277758561 0.7281217572
## [2106] 0.7284676582 0.7288135593 0.7291594604 0.7295053615 0.7298512625
## [2111] 0.7301971636 0.7305430647 0.7308889658 0.7312348668 0.7315807679
## [2116] 0.7319266690 0.7322725700 0.7326184711 0.7329643722 0.7333102733
## [2121] 0.7336561743 0.7340020754 0.7343479765 0.7346938776 0.7350397786
## [2126] 0.7353856797 0.7357315808 0.7360774818 0.7364233829 0.7367692840
## [2131] 0.7371151851 0.7374610861 0.7378069872 0.7381528883 0.7384987893
## [2136] 0.7388446904 0.7391905915 0.7395364926 0.7398823936 0.7402282947
## [2141] 0.7405741958 0.7409200969 0.7412659979 0.7416118990 0.7419578001
## [2146] 0.7423037011 0.7426496022 0.7429955033 0.7433414044 0.7436873054
## [2151] 0.7440332065 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2156] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2161] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2166] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2171] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2176] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2181] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2186] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2191] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2196] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2201] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2206] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2211] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2216] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2221] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2226] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2231] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2236] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2241] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2246] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2251] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2256] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2261] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2266] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2271] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2276] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2281] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2286] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2291] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2296] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2301] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2306] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2311] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2316] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2321] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2326] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2331] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2336] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2341] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2346] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2351] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2356] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2361] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2366] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2371] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2376] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2381] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2386] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2391] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2396] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2401] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2406] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2411] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2416] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2421] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2426] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2431] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2436] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2441] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2446] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2451] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2456] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2461] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2466] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2471] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2476] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2481] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2486] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2491] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2496] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2501] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2506] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2511] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2516] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2521] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2526] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2531] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2536] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2541] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2546] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2551] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2556] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2561] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2566] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2571] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2576] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2581] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2586] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2591] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2596] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2601] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2606] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2611] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2616] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2621] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2626] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2631] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2636] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2641] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2646] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2651] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2656] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2661] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2666] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2671] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2676] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2681] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2686] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2691] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2696] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2701] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2706] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2711] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2716] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2721] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2726] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2731] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2736] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2741] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2746] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2751] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2756] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2761] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2766] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2771] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2776] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2781] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2786] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2791] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2796] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2801] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2806] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2811] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2816] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2821] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2826] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2831] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2836] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2841] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2846] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2851] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2856] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2861] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2866] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2871] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2876] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2881] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2886] 0.7443791076 0.7443791076 0.7443791076 0.7443791076 0.7443791076
## [2891] 0.7443791076

y = seq(0, 1, length.out = length(DATA$H))


plot( y, fercumDH) # attention a l'ordre de elements

b= c(10,11,12,5,13)
a= c(TRUE, TRUE, TRUE, FALSE, TRUE)
cumsum(a)

## [1] 1 2 3 3 4

cumsum(b>9)

## [1] 1 2 3 3 4

Exercise 3 . Import and export of external data

Import the imcenfant.txt file using the read.table() function. Pay attention to the header, sep, dec, row.names parameters.

Display the contents of this object, which will be named D.

Verify the names of the columns of D. Name the rows.

Add a IMC column to D. Extract from D the lines for children with IMC<15 and age<=3.5. Give the number of childrens checking the above conditions.

Export the new data table to your directory as a text file.

D=read.table( choose.files(), sep=";", header = TRUE, dec=",") ; # si les decimal ne sont pas precisé alors il prend 99,3 comme un mot sur lequelle on ne peut pas effectuer d'operation
colnames(D)

## [1] "EXE"    "zep"    "poids"  "an"     "mois"   "taille"

# Créer le vecteur nomdeslignes
nomdeslignes= paste("individu", seq(length(D[, 1])))

rownames(D)= nomdeslignes

IMC=  D$taille / (D$poids)^2 ; IMC

##   [1] 0.3906250 0.4948980 0.5240055 0.4258728 0.3673095 0.3847656 0.3564014
##   [8] 0.4474069 0.3512111 0.3585643 0.4099896 0.4488889 0.4470868 0.3649376
##  [15] 0.3867551 0.4558286 0.3783287 0.4385773 0.4488889 0.4287201 0.4533333
##  [22] 0.3596230 0.2742067 0.4349636 0.3156167 0.3984375 0.4479744 0.2890508
##  [29] 0.4257812 0.3271605 0.3346939 0.3820018 0.4428415 0.3130907 0.3470429
##  [36] 0.3041535 0.3906250 0.3126370 0.4456746 0.4488870 0.8027211 0.4198407
##  [43] 0.4203954 0.4565993 0.3828125 0.3867188 0.5650888 0.4355556 0.4045826
##  [50] 0.5460640 0.3319608 0.4428415 0.2914215 0.3444898 0.4019966 0.3373580
##  [57] 0.3187343 0.4355556 0.2210744 0.3564014 0.4661118 0.4023438 0.5890012
##  [64] 0.3088643 0.3886719 0.4470868 0.3474891 0.6284722 0.5370569 0.3585643
##  [71] 0.3055556 0.3556394 0.3460208 0.2770083 0.3828125 0.3566117 0.3477509
##  [78] 0.4444444 0.3389721 0.3309013 0.4355556 0.4488889 0.4948980 0.4494649
##  [85] 0.3117284 0.3295068 0.4375743 0.3425606 0.2963989 0.3086420 0.6250000
##  [92] 0.3167347 0.3335976 0.4125941 0.3363265 0.4037461 0.4542212 0.3955536
##  [99] 0.3019391 0.2039089 0.2221074 0.3680845 0.3131345 0.4082031 0.3633218
## [106] 0.3945312 0.3876698 0.2853186 0.2869593 0.4444444 0.4183143 0.4444444
## [113] 0.2816452 0.3955536 0.4414820 0.3117284 0.4120708 0.2936288 0.3491597
## [120] 0.3240741 0.4400000 0.3945312 0.4328181 0.5278464 0.3764922 0.5102041
## [127] 0.3302469 0.4679511 0.4311111 0.4101562 0.3038714 0.4328824 0.4016649
## [134] 0.5443787 0.3297959 0.2974063 0.3494810 0.3709826 0.3783287 0.3925653
## [141] 0.4153317 0.2824344 0.3673095 0.5153061 0.5114817 0.2656147 0.6597222
## [148] 0.3512111 0.3425606 0.4792410 0.3329756 0.3996105

D$IMC = IMC ; D

##              EXE zep poids an mois taille       IMC
## individu 1     F   O  16.0  3    5  100.0 0.3906250
## individu 2     F   O  14.0  3   10   97.0 0.4948980
## individu 3     G   O  13.5  3    5   95.5 0.5240055
## individu 4     F   O  15.4  4    0  101.0 0.4258728
## individu 5     G   N  16.5  3    8  100.0 0.3673095
## individu 6     G   O  16.0  4    0   98.5 0.3847656
## individu 7     G   N  17.0  3   11  103.0 0.3564014
## individu 8     G   O  14.8  3    9   98.0 0.4474069
## individu 9     G   O  17.0  4    1  101.5 0.3512111
## individu 10    G   O  16.7  3    3  100.0 0.3585643
## individu 11    G   O  15.5  3    7   98.5 0.4099896
## individu 12    G   O  15.0  3    9  101.0 0.4488889
## individu 13    G   O  14.5  3    9   94.0 0.4470868
## individu 14    F   N  16.8  4    0  103.0 0.3649376
## individu 15    F   O  16.2  4    1  101.5 0.3867551
## individu 16    F   O  14.7  3    9   98.5 0.4558286
## individu 17    F   O  16.5  4    1  103.0 0.3783287
## individu 18    G   O  15.1  3    9  100.0 0.4385773
## individu 19    G   O  15.0  4    0  101.0 0.4488889
## individu 20    G   O  15.5  4    1  103.0 0.4287201
## individu 21    F   O  15.0  4    6  102.0 0.4533333
## individu 22    G   O  16.8  3    5  101.5 0.3596230
## individu 23    G   O  19.8  3    7  107.5 0.2742067
## individu 24    G   O  15.5  3    9  104.5 0.4349636
## individu 25    F   O  17.8  4    1  100.0 0.3156167
## individu 26    F   O  16.0  4    3  102.0 0.3984375
## individu 27    F   O  15.2  3   10  103.5 0.4479744
## individu 28    F   O  18.6  3    9  100.0 0.2890508
## individu 29    G   O  16.0  4    2  109.0 0.4257812
## individu 30    G   O  18.0  4    1  106.0 0.3271605
## individu 31    G   N  17.5  3    6  102.5 0.3346939
## individu 32    G   O  16.5  4    3  104.0 0.3820018
## individu 33    F   O  14.8  4    1   97.0 0.4428415
## individu 34    G   O  18.4  4    3  106.0 0.3130907
## individu 35    G   O  17.6  4    2  107.5 0.3470429
## individu 36    G   O  18.8  3   10  107.5 0.3041535
## individu 37    G   O  16.0  4    1  100.0 0.3906250
## individu 38    G   O  18.5  3    6  107.0 0.3126370
## individu 39    F   O  14.6  3    8   95.0 0.4456746
## individu 40    F   O  14.7  3   10   97.0 0.4488870
## individu 41    F   O  10.5  3    8   88.5 0.8027211
## individu 42    F   N  15.2  3   11   97.0 0.4198407
## individu 43    F   O  15.5  3    6  101.0 0.4203954
## individu 44    F   O  14.5  4    0   96.0 0.4565993
## individu 45    F   O  16.0  4    3   98.0 0.3828125
## individu 46    G   O  16.0  4    3   99.0 0.3867188
## individu 47    G   O  13.0  4    0   95.5 0.5650888
## individu 48    F   O  15.0  3   10   98.0 0.4355556
## individu 49    G   O  15.8  3    7  101.0 0.4045826
## individu 50    F   O  13.6  4    4  101.0 0.5460640
## individu 51    G   O  17.7  3   10  104.0 0.3319608
## individu 52    F   N  14.8  3    8   97.0 0.4428415
## individu 53    G   O  18.8  4    0  103.0 0.2914215
## individu 54    G   O  17.5  4    0  105.5 0.3444898
## individu 55    F   O  16.2  4    1  105.5 0.4019966
## individu 56    G   O  17.6  3   10  104.5 0.3373580
## individu 57    F   O  17.4  3    6   96.5 0.3187343
## individu 58    G   O  15.0  3    3   98.0 0.4355556
## individu 59    G   O  22.0  3   11  107.0 0.2210744
## individu 60    F   O  17.0  3    2  103.0 0.3564014
## individu 61    G   O  14.5  3    4   98.0 0.4661118
## individu 62    F   O  16.0  3    9  103.0 0.4023438
## individu 63    G   O  12.7  3    9   95.0 0.5890012
## individu 64    G   O  19.0  3    7  111.5 0.3088643
## individu 65    F   O  16.0  4    0   99.5 0.3886719
## individu 66    F   O  14.5  3   10   94.0 0.4470868
## individu 67    G   N  17.3  4    1  104.0 0.3474891
## individu 68    F   O  12.0  3    3   90.5 0.6284722
## individu 69    G   O  13.3  3    7   95.0 0.5370569
## individu 70    F   O  16.7  3    4  100.0 0.3585643
## individu 71    F   O  18.0  3    9   99.0 0.3055556
## individu 72    F   O  16.6  3    4   98.0 0.3556394
## individu 73    F   O  17.0  3    4  100.0 0.3460208
## individu 74    G   O  19.0  3   10  100.0 0.2770083
## individu 75    F   O  16.0  3    3   98.0 0.3828125
## individu 76    G   N  17.2  3   11  105.5 0.3566117
## individu 77    F   O  17.0  3    4  100.5 0.3477509
## individu 78    F   O  15.0  3    9  100.0 0.4444444
## individu 79    G   O  17.6  3   10  105.0 0.3389721
## individu 80    F   O  17.6  4    0  102.5 0.3309013
## individu 81    G   O  15.0  3    3   98.0 0.4355556
## individu 82    G   O  15.0  3    6  101.0 0.4488889
## individu 83    F   O  14.0  3    5   97.0 0.4948980
## individu 84    F   O  14.5  3   11   94.5 0.4494649
## individu 85    F   N  18.0  3    6  101.0 0.3117284
## individu 86    F   O  16.8  3    6   93.0 0.3295068
## individu 87    G   O  14.5  3    2   92.0 0.4375743
## individu 88    G   O  17.0  3    3   99.0 0.3425606
## individu 89    G   O  19.0  3    4  107.0 0.2963989
## individu 90    F   O  18.0  3    3  100.0 0.3086420
## individu 91    F   O  12.0  3    2   90.0 0.6250000
## individu 92    G   O  17.5  3    7   97.0 0.3167347
## individu 93    G   O  17.4  4    0  101.0 0.3335976
## individu 94    F   O  15.8  3    9  103.0 0.4125941
## individu 95    G   O  17.5  3   10  103.0 0.3363265
## individu 96    G   O  15.5  3    9   97.0 0.4037461
## individu 97    G   O  14.5  3    2   95.5 0.4542212
## individu 98    F   O  15.7  3    9   97.5 0.3955536
## individu 99    F   O  19.0  3   10  109.0 0.3019391
## individu 100   F   O  22.8  3    9  106.0 0.2039089
## individu 101   G   O  22.0  4    4  107.5 0.2221074
## individu 102   G   O  16.4  3    7   99.0 0.3680845
## individu 103   G   O  18.7  3   10  109.5 0.3131345
## individu 104   G   O  16.0  4    3  104.5 0.4082031
## individu 105   F   N  17.0  4    3  105.0 0.3633218
## individu 106   G   O  16.0  3   10  101.0 0.3945312
## individu 107   G   O  16.3  4    3  103.0 0.3876698
## individu 108   F   O  19.0  4    1  103.0 0.2853186
## individu 109   F   O  19.4  4    5  108.0 0.2869593
## individu 110   F   O  15.0  3    9  100.0 0.4444444
## individu 111   F   O  15.5  3    9  100.5 0.4183143
## individu 112   G   O  15.0  3    4  100.0 0.4444444
## individu 113   F   O  19.4  3   10  106.0 0.2816452
## individu 114   F   O  15.7  4    0   97.5 0.3955536
## individu 115   F   N  15.2  3   10  102.0 0.4414820
## individu 116   G   O  18.0  3    9  101.0 0.3117284
## individu 117   G   N  15.5  3   10   99.0 0.4120708
## individu 118   G   N  19.0  3    9  106.0 0.2936288
## individu 119   F   N  17.3  4    5  104.5 0.3491597
## individu 120   G   N  18.0  3   10  105.0 0.3240741
## individu 121   F   N  15.0  3    7   99.0 0.4400000
## individu 122   F   N  16.0  3    8  101.0 0.3945312
## individu 123   F   N  14.5  3    8   91.0 0.4328181
## individu 124   G   N  13.5  3    2   96.2 0.5278464
## individu 125   G   O  16.5  3    8  102.5 0.3764922
## individu 126   F   O  14.0  3    7  100.0 0.5102041
## individu 127   G   N  18.0  4    3  107.0 0.3302469
## individu 128   F   N  14.8  4    0  102.5 0.4679511
## individu 129   G   N  15.0  3    8   97.0 0.4311111
## individu 130   G   N  16.0  4    3  105.0 0.4101562
## individu 131   G   O  18.5  3    5  104.0 0.3038714
## individu 132   F   N  15.5  4    3  104.0 0.4328824
## individu 133   F   O  15.5  3    9   96.5 0.4016649
## individu 134   G   N  13.0  3    3   92.0 0.5443787
## individu 135   G   N  17.5  3   10  101.0 0.3297959
## individu 136   G   O  18.7  3   10  104.0 0.2974063
## individu 137   G   N  17.0  4    3  101.0 0.3494810
## individu 138   G   N  16.5  3    1  101.0 0.3709826
## individu 139   G   N  16.5  3    8  103.0 0.3783287
## individu 140   G   N  15.8  3    7   98.0 0.3925653
## individu 141   F   N  15.9  4    0  105.0 0.4153317
## individu 142   G   N  19.6  4    3  108.5 0.2824344
## individu 143   F   N  16.5  3    9  100.0 0.3673095
## individu 144   F   N  14.0  3   11  101.0 0.5153061
## individu 145   G   N  13.7  3    2   96.0 0.5114817
## individu 146   F   O  19.5  3    8  101.0 0.2656147
## individu 147   G   N  12.0  4    2   95.0 0.6597222
## individu 148   G   N  17.0  3    9  101.5 0.3512111
## individu 149   G   N  17.0  3    6   99.0 0.3425606
## individu 150   F   N  14.3  3    4   98.0 0.4792410
## individu 151   F   N  17.8  3   11  105.5 0.3329756
## individu 152   F   N  15.7  3    7   98.5 0.3996105

# Extraire les lignes pour les enfants avec IMC < 15 et âge <= 3.5

enfants_filtrés = D[D$IMC < 15 & D$age <= 3.5, ]
nombre_enfants = nrow(enfants_filtrés)

# Exporter la nouvelle table de données dans votre répertoire en tant que fichier texte
write.table(enfants_filtrés, file = "enfants_filtrés.txt", sep = ";", row.names = TRUE, col.names = TRUE)

Exercise 4 Data analysis

Save in your working directory the Poids_naissance.txt file available in AmeTICE

Import this data set into R, creating an object that will be of data.frame type, named E. To do this, use the read.table() function by correctly filling the parameters header, sep, dec, row.names

Add a PTL1 (number of preterm antecedents) variable with three modalities (where the third will be rated 2 and will correspond to 2 or more preterm antecedents).

Same question for FVT (number of visits to a doctor) to add FVT1.

Order the data frame according to increasing birth weights (BWT)

Extract individuals with black or white mothers who smoke.

TP 2 R

QuentinFAYE

2024-01-26