Midtermpdfbc
Hunter P
2/13/2022
Question 1—Prob Liar, given they are detected as liar.
library(rpart)
library(formattable)
??confusiontable## starting httpd help server ... done??formattable
#set.seed(100)
#data <- data.frame(Actual = sample(c("True","False"), 100, replace = TRUE),
# Prediction = sample(c("True","False"), 100, replace = TRUE)
# )
#table(data$Prediction, data$Actual)
p_ld=.8*.3/(.8*.3+.1*.8)
p_ld #.75## [1] 0.75##Question1———————–PartB—Prob that an individual is actually a truth-teller given that the polygraph selected as such
p_tt = .9*.7/.8*.3 + .1*.7
p_tt## [1] 0.30625##Question1——————-PartC–Prob a randomly selected individual is a liar or was detected as a liar
N=100
liars=100*.3
nonliars=100*.7
posliars=liars*.8
negliars=liars*.2
negtruth=nonliars*.9
postruth=nonliars*.1
Liarstab=matrix(c(posliars,negliars,liars,postruth,negtruth,nonliars,posliars+postruth,negliars+negtruth,N), 3)
colnames(Liarstab)=c("+","-","Total")
rownames(Liarstab)=c("Liars", "Truthers", "Total")
formattable(as.data.frame(Liarstab))|
|
|
Total | |
|---|---|---|---|
| Liars | 24 | 7 | 31 |
| Truthers | 6 | 63 | 69 |
| Total | 30 | 70 | 100 |
(Liarstab[1,3]+Liarstab[3,1]-Liarstab[1,1])/N #.37## [1] 0.37Liarstab## + - Total
## Liars 24 7 31
## Truthers 6 63 69
## Total 30 70 100##Q2——— MRI malfunctions–Organization owns an MRI. This machine has a manufactuerers expected lifetime of 15 years. This means that we can expect 1 failure every 15 years.–include the Prob statement. for part A0 what i the prob that the machine will fail at or after 10 years
#P(X≥10|π)
#Convert to minutes for N, pi, t
N=15*365.25*24*60
pi=1/N
t=10*365.25*24*60
#Geometric assumes independent trials and does not have a set number of trials
1-pgeom(t,pi) #P(X>t | pi)=1-P(X<=t | pi)## [1] 0.513417(1-pi)/pi #EX## [1] 7889399(1-pi)/pi^2 #SD## [1] 6.224262e+13##Q2—_B———————Prob that machine will fail at or after 10 years–Model as binomal and include Ex and SD—Model as binomial
#P(X=0|N=t,π=π)
help("binomial")
#Binomial.
dbinom(0,t,pi) #P(X=0 | N=t, pi = pi)## [1] 0.5134171t*pi #EX## [1] 0.6666667sqrt(t*pi*(1-pi))#SD## [1] 0.8164965##Question 2 C———–Prob machine will fail at or after 10 years, Provide ED and SD and model as Poisson
#P(X=0|λt)
#Poisson. P(X=0 | lambda=pi, t)
dpois(0,pi*t) ## [1] 0.5134171pi*t #EX## [1] 0.6666667sqrt(pi*t) #SD## [1] 0.8164966##Q3————-Challenger problem —-A) what are the levels of measurements of these vars #Question 3 b) Provide appropriate descriptive stats and graphs for the variable o_ring_probs.Interpret. Provide measures of center, spread, shape, position, and two appropriate plots that are appropriate for the level of measurement. Do not provide stats that ar enot appropriate. Discuss the distribution based on the graphs and stats. Does its shape remind you of any distribution we have evaluated? C) The temperature of the dat of the Challenger launch was 36 degrees Fahrenheit. Provide side-by-side boxplots for temperature by indident (temp-incident). Why might this have been a concern?
#we need the levels of measurement for "launch,temp,incident,O_ringprobs"
library(psych)
library(ggplot2)##
## Attaching package: 'ggplot2'## The following objects are masked from 'package:psych':
##
## %+%, alpha#read in the csv
challenge <- read.csv("C:/Users/polhe/Downloads/challenger.csv")
challenge## launch temp incident o_ring_probs
## 1 1 53.6 Yes 3
## 2 2 57.2 Yes 1
## 3 3 57.2 Yes 1
## 4 4 62.6 Yes 1
## 5 5 66.2 No 0
## 6 6 66.2 No 0
## 7 7 66.2 No 0
## 8 8 66.2 No 0
## 9 9 66.2 No 0
## 10 10 68.0 No 0
## 11 11 69.8 Yes 1
## 12 12 69.8 No 0
## 13 13 69.8 Yes 1
## 14 14 69.8 No 0
## 15 15 69.8 No 0
## 16 16 71.6 No 0
## 17 17 73.4 No 0
## 18 18 75.2 Yes 2
## 19 19 75.2 No 0
## 20 20 75.2 No 0
## 21 21 78.8 No 0
## 22 22 78.8 No 0
## 23 23 80.6 No 0(describe(challenge$o_ring_probs))## vars n mean sd median trimmed mad min max range skew kurtosis se
## X1 1 23 0.43 0.79 0 0.26 0 0 3 3 1.81 2.69 0.16#Launch=ordinal Temp=interval Incident=nominal O-ring-problems=ratio
par(mfrow=c(2,1))
ggplot(challenge, aes(x=o_ring_probs))+
geom_bar(stat="count",color="black", fill="orange")+
ggtitle("Plot of count of O-Ring Problems")+
xlab("") 
ggplot(challenge, aes(y=o_ring_probs, x=""))+
geom_boxplot()+
ggtitle("Boxplot of # of O-Ring Problems")+
xlab("")+
ylab("Count of O-Ring Failures")
(describe(challenge$o_ring_probs)) # from looking at the describe function we can tell some things about the shape of the o_ring_probs variable## vars n mean sd median trimmed mad min max range skew kurtosis se
## X1 1 23 0.43 0.79 0 0.26 0 0 3 3 1.81 2.69 0.16quantile(challenge$o_ring_probs)## 0% 25% 50% 75% 100%
## 0 0 0 1 3##measure of center--mean is .43
##measure of spread--Standard Deviation is .79
##measure of shape ---the skew is 1.81 which means that it skews to the right and has kurtosis under 3 so no excess kurtosis.
##measure of position--Using the quantile command we can see the quarterly distribution of Q1=0 Q2=0 Q3=1 Q4=3
#does it remind you of a shape we have seen so far? ---Yes this is a Discrete Poisson distribution.
ggplot(challenge, aes(y=temp, x=incident, fill=incident))+geom_boxplot()+ggtitle("Boxplots of Temperature vs. Incident")+xlab("")+ylab("Temp")
##why might the temp of 36 degrees Fahrenheit have been a concern ? The team didn't have data for how the O-rings would perform at such low temperature. In fact, most of the time where there was an incident of O-ring erosion, the temperature was under 70 degrees. ##Q4————Build your best single chart for iris set from kaggle–. ONLY PROVIDE 1 CHART
Iris <- read.csv("C:/Users/polhe/Downloads/IRIS.csv")
Iris## sepal_length sepal_width petal_length petal_width species
## 1 5.1 3.5 1.4 0.2 Iris-setosa
## 2 4.9 3.0 1.4 0.2 Iris-setosa
## 3 4.7 3.2 1.3 0.2 Iris-setosa
## 4 4.6 3.1 1.5 0.2 Iris-setosa
## 5 5.0 3.6 1.4 0.2 Iris-setosa
## 6 5.4 3.9 1.7 0.4 Iris-setosa
## 7 4.6 3.4 1.4 0.3 Iris-setosa
## 8 5.0 3.4 1.5 0.2 Iris-setosa
## 9 4.4 2.9 1.4 0.2 Iris-setosa
## 10 4.9 3.1 1.5 0.1 Iris-setosa
## 11 5.4 3.7 1.5 0.2 Iris-setosa
## 12 4.8 3.4 1.6 0.2 Iris-setosa
## 13 4.8 3.0 1.4 0.1 Iris-setosa
## 14 4.3 3.0 1.1 0.1 Iris-setosa
## 15 5.8 4.0 1.2 0.2 Iris-setosa
## 16 5.7 4.4 1.5 0.4 Iris-setosa
## 17 5.4 3.9 1.3 0.4 Iris-setosa
## 18 5.1 3.5 1.4 0.3 Iris-setosa
## 19 5.7 3.8 1.7 0.3 Iris-setosa
## 20 5.1 3.8 1.5 0.3 Iris-setosa
## 21 5.4 3.4 1.7 0.2 Iris-setosa
## 22 5.1 3.7 1.5 0.4 Iris-setosa
## 23 4.6 3.6 1.0 0.2 Iris-setosa
## 24 5.1 3.3 1.7 0.5 Iris-setosa
## 25 4.8 3.4 1.9 0.2 Iris-setosa
## 26 5.0 3.0 1.6 0.2 Iris-setosa
## 27 5.0 3.4 1.6 0.4 Iris-setosa
## 28 5.2 3.5 1.5 0.2 Iris-setosa
## 29 5.2 3.4 1.4 0.2 Iris-setosa
## 30 4.7 3.2 1.6 0.2 Iris-setosa
## 31 4.8 3.1 1.6 0.2 Iris-setosa
## 32 5.4 3.4 1.5 0.4 Iris-setosa
## 33 5.2 4.1 1.5 0.1 Iris-setosa
## 34 5.5 4.2 1.4 0.2 Iris-setosa
## 35 4.9 3.1 1.5 0.1 Iris-setosa
## 36 5.0 3.2 1.2 0.2 Iris-setosa
## 37 5.5 3.5 1.3 0.2 Iris-setosa
## 38 4.9 3.1 1.5 0.1 Iris-setosa
## 39 4.4 3.0 1.3 0.2 Iris-setosa
## 40 5.1 3.4 1.5 0.2 Iris-setosa
## 41 5.0 3.5 1.3 0.3 Iris-setosa
## 42 4.5 2.3 1.3 0.3 Iris-setosa
## 43 4.4 3.2 1.3 0.2 Iris-setosa
## 44 5.0 3.5 1.6 0.6 Iris-setosa
## 45 5.1 3.8 1.9 0.4 Iris-setosa
## 46 4.8 3.0 1.4 0.3 Iris-setosa
## 47 5.1 3.8 1.6 0.2 Iris-setosa
## 48 4.6 3.2 1.4 0.2 Iris-setosa
## 49 5.3 3.7 1.5 0.2 Iris-setosa
## 50 5.0 3.3 1.4 0.2 Iris-setosa
## 51 7.0 3.2 4.7 1.4 Iris-versicolor
## 52 6.4 3.2 4.5 1.5 Iris-versicolor
## 53 6.9 3.1 4.9 1.5 Iris-versicolor
## 54 5.5 2.3 4.0 1.3 Iris-versicolor
## 55 6.5 2.8 4.6 1.5 Iris-versicolor
## 56 5.7 2.8 4.5 1.3 Iris-versicolor
## 57 6.3 3.3 4.7 1.6 Iris-versicolor
## 58 4.9 2.4 3.3 1.0 Iris-versicolor
## 59 6.6 2.9 4.6 1.3 Iris-versicolor
## 60 5.2 2.7 3.9 1.4 Iris-versicolor
## 61 5.0 2.0 3.5 1.0 Iris-versicolor
## 62 5.9 3.0 4.2 1.5 Iris-versicolor
## 63 6.0 2.2 4.0 1.0 Iris-versicolor
## 64 6.1 2.9 4.7 1.4 Iris-versicolor
## 65 5.6 2.9 3.6 1.3 Iris-versicolor
## 66 6.7 3.1 4.4 1.4 Iris-versicolor
## 67 5.6 3.0 4.5 1.5 Iris-versicolor
## 68 5.8 2.7 4.1 1.0 Iris-versicolor
## 69 6.2 2.2 4.5 1.5 Iris-versicolor
## 70 5.6 2.5 3.9 1.1 Iris-versicolor
## 71 5.9 3.2 4.8 1.8 Iris-versicolor
## 72 6.1 2.8 4.0 1.3 Iris-versicolor
## 73 6.3 2.5 4.9 1.5 Iris-versicolor
## 74 6.1 2.8 4.7 1.2 Iris-versicolor
## 75 6.4 2.9 4.3 1.3 Iris-versicolor
## 76 6.6 3.0 4.4 1.4 Iris-versicolor
## 77 6.8 2.8 4.8 1.4 Iris-versicolor
## 78 6.7 3.0 5.0 1.7 Iris-versicolor
## 79 6.0 2.9 4.5 1.5 Iris-versicolor
## 80 5.7 2.6 3.5 1.0 Iris-versicolor
## 81 5.5 2.4 3.8 1.1 Iris-versicolor
## 82 5.5 2.4 3.7 1.0 Iris-versicolor
## 83 5.8 2.7 3.9 1.2 Iris-versicolor
## 84 6.0 2.7 5.1 1.6 Iris-versicolor
## 85 5.4 3.0 4.5 1.5 Iris-versicolor
## 86 6.0 3.4 4.5 1.6 Iris-versicolor
## 87 6.7 3.1 4.7 1.5 Iris-versicolor
## 88 6.3 2.3 4.4 1.3 Iris-versicolor
## 89 5.6 3.0 4.1 1.3 Iris-versicolor
## 90 5.5 2.5 4.0 1.3 Iris-versicolor
## 91 5.5 2.6 4.4 1.2 Iris-versicolor
## 92 6.1 3.0 4.6 1.4 Iris-versicolor
## 93 5.8 2.6 4.0 1.2 Iris-versicolor
## 94 5.0 2.3 3.3 1.0 Iris-versicolor
## 95 5.6 2.7 4.2 1.3 Iris-versicolor
## 96 5.7 3.0 4.2 1.2 Iris-versicolor
## 97 5.7 2.9 4.2 1.3 Iris-versicolor
## 98 6.2 2.9 4.3 1.3 Iris-versicolor
## 99 5.1 2.5 3.0 1.1 Iris-versicolor
## 100 5.7 2.8 4.1 1.3 Iris-versicolor
## 101 6.3 3.3 6.0 2.5 Iris-virginica
## 102 5.8 2.7 5.1 1.9 Iris-virginica
## 103 7.1 3.0 5.9 2.1 Iris-virginica
## 104 6.3 2.9 5.6 1.8 Iris-virginica
## 105 6.5 3.0 5.8 2.2 Iris-virginica
## 106 7.6 3.0 6.6 2.1 Iris-virginica
## 107 4.9 2.5 4.5 1.7 Iris-virginica
## 108 7.3 2.9 6.3 1.8 Iris-virginica
## 109 6.7 2.5 5.8 1.8 Iris-virginica
## 110 7.2 3.6 6.1 2.5 Iris-virginica
## 111 6.5 3.2 5.1 2.0 Iris-virginica
## 112 6.4 2.7 5.3 1.9 Iris-virginica
## 113 6.8 3.0 5.5 2.1 Iris-virginica
## 114 5.7 2.5 5.0 2.0 Iris-virginica
## 115 5.8 2.8 5.1 2.4 Iris-virginica
## 116 6.4 3.2 5.3 2.3 Iris-virginica
## 117 6.5 3.0 5.5 1.8 Iris-virginica
## 118 7.7 3.8 6.7 2.2 Iris-virginica
## 119 7.7 2.6 6.9 2.3 Iris-virginica
## 120 6.0 2.2 5.0 1.5 Iris-virginica
## 121 6.9 3.2 5.7 2.3 Iris-virginica
## 122 5.6 2.8 4.9 2.0 Iris-virginica
## 123 7.7 2.8 6.7 2.0 Iris-virginica
## 124 6.3 2.7 4.9 1.8 Iris-virginica
## 125 6.7 3.3 5.7 2.1 Iris-virginica
## 126 7.2 3.2 6.0 1.8 Iris-virginica
## 127 6.2 2.8 4.8 1.8 Iris-virginica
## 128 6.1 3.0 4.9 1.8 Iris-virginica
## 129 6.4 2.8 5.6 2.1 Iris-virginica
## 130 7.2 3.0 5.8 1.6 Iris-virginica
## 131 7.4 2.8 6.1 1.9 Iris-virginica
## 132 7.9 3.8 6.4 2.0 Iris-virginica
## 133 6.4 2.8 5.6 2.2 Iris-virginica
## 134 6.3 2.8 5.1 1.5 Iris-virginica
## 135 6.1 2.6 5.6 1.4 Iris-virginica
## 136 7.7 3.0 6.1 2.3 Iris-virginica
## 137 6.3 3.4 5.6 2.4 Iris-virginica
## 138 6.4 3.1 5.5 1.8 Iris-virginica
## 139 6.0 3.0 4.8 1.8 Iris-virginica
## 140 6.9 3.1 5.4 2.1 Iris-virginica
## 141 6.7 3.1 5.6 2.4 Iris-virginica
## 142 6.9 3.1 5.1 2.3 Iris-virginica
## 143 5.8 2.7 5.1 1.9 Iris-virginica
## 144 6.8 3.2 5.9 2.3 Iris-virginica
## 145 6.7 3.3 5.7 2.5 Iris-virginica
## 146 6.7 3.0 5.2 2.3 Iris-virginica
## 147 6.3 2.5 5.0 1.9 Iris-virginica
## 148 6.5 3.0 5.2 2.0 Iris-virginica
## 149 6.2 3.4 5.4 2.3 Iris-virginica
## 150 5.9 3.0 5.1 1.8 Iris-virginica##if you were to run this in R studio, this generates a 3d plot with all 4 quantitative variables on it.
##We have a comprehensive view of 4 characteristic of iris flowers in the same graph. At the bottom, We have the relationship between iris sepal lenght and iris petal width as a function of the three different species (setosa=1, versicolor=2, virginica=3). ##At the top of the graph we can see iris sepal length and iris petal width.
library(plot3D)
library(rgl)
library(plot3Drgl)
hist3D_fancy<- function(x, y, break.func = c("Sturges", "scott", "FD"), breaks = NULL,
colvar = NULL, col="white", clab=NULL, phi = 5, theta = 25, ...){
# Compute the number of classes for a histogram
break.func <- break.func [1]
if(is.null(breaks)){
x.breaks <- switch(break.func,
Sturges = nclass.Sturges(x),
scott = nclass.scott(x),
FD = nclass.FD(x))
y.breaks <- switch(break.func,
Sturges = nclass.Sturges(y),
scott = nclass.scott(y),
FD = nclass.FD(y))
} else x.breaks <- y.breaks <- breaks
# Cut x and y variables in bins for counting
x.bin <- seq(min(x), max(x), length.out = x.breaks)
y.bin <- seq(min(y), max(y), length.out = y.breaks)
xy <- table(cut(x, x.bin), cut(y, y.bin))
z <- xy
xmid <- 0.5*(x.bin[-1] + x.bin[-length(x.bin)])
ymid <- 0.5*(y.bin[-1] + y.bin[-length(y.bin)])
oldmar <- par("mar")
par (mar = par("mar") + c(0, 0, 0, 2))
hist3D(x = xmid, y = ymid, z = xy, ...,
zlim = c(-max(z)/2, max(z)), zlab = "counts", bty= "g",
phi = phi, theta = theta,
shade = 0.2, col = col, border = "black",
d = 1, ticktype = "detailed")
scatter3D(x, y,
z = rep(-max(z)/2, length.out = length(x)),
colvar = colvar, col = gg.col(100),
add = TRUE, pch = 18, clab = clab,
colkey = list(length = 0.5, width = 0.5,
dist = 0.05, cex.axis = 0.8, cex.clab = 0.8)
)
par(mar = oldmar)
}
# Create his3D using plot3D
hist3D_fancy(iris$Sepal.Length, iris$Petal.Width, colvar=as.numeric(iris$Species))
#Make the rgl version
plotrgl()##Question 6
mymatrix=matrix(c(7,5,12,0,2,2, 7, 7, 14), nrow=3)
colnames(mymatrix)=c("Survived", "Died", "Total")
rownames(mymatrix)=c("Drug1", "Drug2", "Total")
mymatrix## Survived Died Total
## Drug1 7 0 7
## Drug2 5 2 7
## Total 12 2 14##Q6a/b. Let A represent the drug provided {A1=drug 1, A2=drug 2}. Let B represent the pig’s survival. {B1=survived, B2=died}. For each cell, calculate the joint probability. In other words, calculate P(A1B1), P(A1B2), P(A2B1), P(A2B2). Place these probabilities in the following table. (Don’t panic here. This is as easy as you think it is.)
mat=mymatrix/14
formattable(as.data.frame(mat))| Survived | Died | Total | |
|---|---|---|---|
| Drug1 | 0.5000000 | 0.0000000 | 0.5 |
| Drug2 | 0.3571429 | 0.1428571 | 0.5 |
| Total | 0.8571429 | 0.1428571 | 1.0 |
##Question 6c) for each row and column, calculate the marginal probability. In other words, calculate the four marginal probabilities,{ P(A1), P(A2), P(B1), P(B2) }. Place them in the next table with the results from part a.
formattable(as.data.frame(mat))| Survived | Died | Total | |
|---|---|---|---|
| Drug1 | 0.5000000 | 0.0000000 | 0.5 |
| Drug2 | 0.3571429 | 0.1428571 | 0.5 |
| Total | 0.8571429 | 0.1428571 | 1.0 |
P_S= mymatrix[3,1]/14
P_D=mymatrix[3,2]/14
P_D1=mymatrix[1,3]/14
P_D2=mymatrix[2,3]/14
P_S ## [1] 0.8571429formattable(as.data.frame(mat))| Survived | Died | Total | |
|---|---|---|---|
| Drug1 | 0.5000000 | 0.0000000 | 0.5 |
| Drug2 | 0.3571429 | 0.1428571 | 0.5 |
| Total | 0.8571429 | 0.1428571 | 1.0 |
P_D## [1] 0.1428571P_D1## [1] 0.5P_D2## [1] 0.5###Q6–d ###. Independence of events means that P(Ai , Bj) = P(Ai) x P(Bj) for all values of i and j. For true independence of events, the joint (cell) probabilities should equal the appropriate marginal probabilities multiplied by each other. In other words, you should be able to multiply the row and column marginal probabilities to obtain the cell probability. If this is not the case, then the events are not (by definition) independent from a non-inferential point of view. Demonstrate that survival and drug choice are not independent solely based on the definition of independence. In other words, investigate if P(Ai,Bj) = P(Ai) x P(Bj) for all values of i and j.
a11=7*12/14^2
a12=7*2/14^2
a21=7*12/14^2
a22=7*2/14^2
mat2=matrix(c(a11,a21,a12,a22),nrow=2)
colnames(mat2)=c("Survived", "Died")
rownames(mat2)=c("Drug1", "Drug2")
formattable(as.data.frame(mat2))| Survived | Died | |
|---|---|---|
| Drug1 | 0.4285714 | 0.07142857 |
| Drug2 | 0.4285714 | 0.07142857 |
formattable(as.data.frame(mat))| Survived | Died | Total | |
|---|---|---|---|
| Drug1 | 0.5000000 | 0.0000000 | 0.5 |
| Drug2 | 0.3571429 | 0.1428571 | 0.5 |
| Total | 0.8571429 | 0.1428571 | 1.0 |
###mat and mat2 do not match so survival and drug choice are not independent based on the definition
#Q5——Construct a distribution ##construct a histogram for describing the salary distribution of those invididuals who are 40 years or older but not yet retired. Draw what you think the distribution looks like, including mean,median,mode and locations, as well as both axes in R. Justify your response #Salary will peak at around 60k and slowly decline as people stop working and enter retirement/live off social security.
library(ggplot2)
library(tidyverse)## -- Attaching packages --------------------------------------- tidyverse 1.3.1 --## v tibble 3.1.6 v dplyr 1.0.8
## v tidyr 1.2.0 v stringr 1.4.0
## v readr 2.1.2 v forcats 0.5.1
## v purrr 0.3.4## -- Conflicts ------------------------------------------ tidyverse_conflicts() --
## x ggplot2::%+%() masks psych::%+%()
## x ggplot2::alpha() masks psych::alpha()
## x dplyr::filter() masks stats::filter()
## x dplyr::lag() masks stats::lag()library(calibrate)## Loading required package: MASS##
## Attaching package: 'MASS'## The following object is masked from 'package:dplyr':
##
## select## The following object is masked from 'package:formattable':
##
## arealibrary(readxl)
library(formattable)
help(rebeta)## No documentation for 'rebeta' in specified packages and libraries:
## you could try '??rebeta'#I want to see a right skew distribution with a mean around 60k and a STD of 12k
#set.seed(10000)
#right skewness
#hist(rbeta(100000,1,100)*10)
set.seed(91929) # Set seed for reproducibility
N <- 10000 # Specify sample size
y_rlnorm <- rlnorm(N) # Draw N log normally distributed values
y_rlnorm # Print values to RStudio console## [1] 0.88082919 0.71130233 1.55750385 0.74597213 1.12296291 1.73100566
## [7] 0.72801951 1.25833372 2.09056650 1.29189105 1.50026923 3.58923486
## [13] 2.58088935 1.60972893 1.74978996 0.42458628 0.72522686 2.95665949
## [19] 1.07345650 2.22781137 0.37374384 0.65899926 3.74849543 0.93966517
## [25] 0.81395933 1.33365593 0.55902891 0.35957664 1.44769425 3.96880463
## [31] 1.01105259 0.39144249 1.31495865 3.10874379 0.94694306 0.36547569
## [37] 2.47620013 1.00303381 1.66666560 0.94549759 0.31642015 0.96065444
## [43] 0.77924684 1.33165688 1.04023097 0.86816614 2.25502829 0.67156259
## [49] 0.82694466 1.79102246 0.97085198 0.11700501 0.40034640 0.54307204
## [55] 0.65514637 1.64796357 1.67632741 1.31067736 0.29831946 0.67881231
## [61] 1.23110165 5.32324285 2.14934439 5.28608033 0.12941602 0.80965062
## [67] 1.98160747 13.57884268 1.50928717 5.75671048 1.07712063 1.96225848
## [73] 0.76794642 1.16619847 1.84034495 0.53189186 0.41418721 0.49626457
## [79] 2.85200831 1.60144655 0.71032790 4.59797639 0.53470283 3.38744982
## [85] 1.66683676 3.56086992 0.22497770 1.53000174 2.45296118 2.97234695
## [91] 0.87295708 1.82862302 0.47214198 0.26171777 1.95650750 4.84503300
## [97] 0.11378023 0.64736089 0.44947363 0.43795609 9.71738294 1.08950294
## [103] 1.12216415 0.69511262 1.66825901 0.90863595 2.00226560 2.92843460
## [109] 3.20650632 1.24274579 0.56783296 1.08383654 1.82833194 0.29493518
## [115] 1.48939236 0.88933223 0.47226508 3.57319243 2.66211251 0.39565492
## [121] 0.36968672 0.49735128 1.76444622 0.52632208 1.76360366 18.50660621
## [127] 0.65715015 0.50099076 3.43579446 0.98920916 0.48074520 1.98211853
## [133] 1.81484554 1.84569277 0.39706845 0.43032772 1.30854322 0.67122516
## [139] 0.36687488 1.74319931 2.19990317 0.51768041 0.73621542 0.37704122
## [145] 1.03321142 0.49093529 0.81740267 1.09819226 0.40773291 0.34593864
## [151] 1.74338032 0.43263695 2.65252995 0.83747694 0.24852821 0.67230460
## [157] 0.22208703 2.11778220 1.37351661 2.13395983 0.59662505 1.60864140
## [163] 0.93615697 2.02399698 0.26216564 0.54702537 0.70380120 0.90668806
## [169] 2.44328479 0.42302543 2.96490679 0.86848401 0.05094683 2.50899029
## [175] 3.88985895 0.66903776 1.53341446 0.53601018 5.45344689 0.43005110
## [181] 1.58639263 2.99445059 2.72783740 2.00107267 0.37320034 1.62846344
## [187] 0.93804737 2.15470467 0.15427585 0.23555639 6.34542256 2.62575066
## [193] 1.10252234 2.87983251 7.51242920 0.98380874 1.90949343 2.37746363
## [199] 2.73777485 1.65771658 0.56707995 0.94251155 1.48012504 2.07407662
## [205] 1.82396638 0.70238095 0.38586414 1.48478387 0.59678425 0.46045450
## [211] 0.77169157 0.12692744 2.88015161 1.00102724 0.55186295 2.29671772
## [217] 0.31996238 0.26656081 0.19791536 1.62235902 7.16815822 0.31126055
## [223] 2.58522833 3.20715150 0.81207490 0.64492600 0.28365647 1.57048737
## [229] 1.27180403 0.60071368 0.87133043 1.31674777 2.73410170 1.22401452
## [235] 1.07486647 2.61982617 3.84632166 1.26346662 0.22032560 2.25270484
## [241] 0.94277033 0.21952800 0.91318475 0.39473146 1.44985881 0.97489075
## [247] 0.47972022 1.01150760 2.64729126 1.87598647 0.44653643 4.98396010
## [253] 0.27045151 0.37087516 2.53264702 2.04104499 8.97978752 0.56374775
## [259] 1.94081535 0.23154621 0.71444498 3.75190753 3.13700968 0.34583478
## [265] 0.58364751 2.36862950 2.07665862 0.52987689 2.38538835 0.71587617
## [271] 3.94889658 0.50556405 0.40244678 0.41259498 3.81696569 1.24470923
## [277] 0.27008821 1.23183488 3.82738852 0.52129687 0.60313617 0.72311810
## [283] 1.06639741 0.90605451 1.45124885 0.56064677 0.29376401 0.32255390
## [289] 0.53186918 1.17867436 8.26435924 0.69257111 0.85963354 2.59869003
## [295] 0.10959616 0.07651361 0.93987144 3.41588523 0.45104285 0.42168405
## [301] 0.73724932 4.57407041 5.11721565 1.44602478 3.36137802 0.62113569
## [307] 1.84116771 1.00217995 1.42203488 0.88021306 2.06142716 1.81823718
## [313] 0.54172576 1.00462373 2.05655837 0.77947720 3.06133007 2.86109523
## [319] 0.31709078 1.48098941 1.53094433 1.57194821 0.38815944 1.40624164
## [325] 1.23873159 0.39573349 1.05358596 0.77732556 0.24257943 1.03431620
## [331] 0.51785893 3.40197209 1.25842025 0.24838888 0.17582993 3.24940110
## [337] 4.74401594 3.07624700 0.54338700 2.48509348 0.42461066 0.14589219
## [343] 1.94638424 2.26762737 0.85192577 0.23727191 1.67035710 1.10689598
## [349] 50.82723913 1.45600516 0.73048134 2.13663859 15.85315325 2.73674606
## [355] 0.66765708 0.45855575 0.97523179 1.30221735 0.74239222 4.05566120
## [361] 0.06033381 0.13899467 1.71796915 0.78546760 0.37271887 3.73072571
## [367] 3.20312339 1.97855439 0.41877925 1.67473089 2.02784485 4.23293157
## [373] 0.12632687 0.91674824 1.29555840 0.44110607 2.19599497 1.81285645
## [379] 0.54663633 1.71212007 1.30671923 0.55125524 0.67864122 0.48587573
## [385] 0.83910346 1.33384645 1.21788482 0.19268665 1.10520707 0.55296469
## [391] 0.71235298 0.75203382 0.33564267 0.47756473 0.73295040 0.91740809
## [397] 0.64095633 2.53365133 0.40117962 0.43522193 1.16691219 1.19665318
## [403] 0.87973722 1.02798498 0.41610839 2.25490071 9.23879201 0.56581016
## [409] 0.43580404 1.40855114 0.45847389 1.33598474 1.49883192 2.02496580
## [415] 0.24162071 0.49060321 0.94752851 0.21302122 2.23436982 2.58801173
## [421] 0.25123762 2.85923582 2.09673291 0.51175150 1.06735045 0.59683787
## [427] 0.47155414 0.65879349 1.33313597 0.27255847 0.88987206 0.36672325
## [433] 1.49629153 0.81229084 1.30250122 1.22960443 0.33166205 0.37572841
## [439] 0.22870002 0.94130170 0.73876165 0.38188531 1.12609007 5.39646762
## [445] 0.28471140 0.89735808 0.33855875 1.57828797 0.94941320 0.70194543
## [451] 0.41045156 1.45786097 1.40087503 2.66474365 0.49800852 0.39610841
## [457] 0.58478163 1.25973961 0.74960710 0.13336734 1.62648931 2.07955381
## [463] 0.12176211 1.08737699 0.62611705 0.44022934 1.49542730 2.12555088
## [469] 0.38530715 0.33841963 0.25787790 4.45539946 0.36184700 2.81373461
## [475] 2.91203609 0.35105146 1.14911613 0.72647972 6.43004214 0.54892049
## [481] 0.40866833 4.96780732 0.23557688 0.68648650 7.58654060 0.61236806
## [487] 4.56648316 1.68967241 0.65973993 0.28905649 0.15998811 0.75631519
## [493] 0.24715043 0.53851980 1.17768731 0.59000805 0.06747595 4.12657993
## [499] 1.02851925 1.48057006 0.70441560 0.13465266 0.51360633 1.61671483
## [505] 1.65724124 1.64215220 4.72432167 1.10133431 0.69861724 0.52528601
## [511] 0.24286574 2.39777374 1.73652896 0.40343494 1.33314209 1.40726672
## [517] 2.43554779 1.89302376 1.32362662 0.61979075 0.72844945 1.07695168
## [523] 3.17208336 0.62346114 0.32101070 1.88375584 0.83966392 0.50033030
## [529] 2.08165290 0.64999779 1.70456153 1.54891539 2.42240316 1.44142065
## [535] 0.10914588 0.56641385 0.34915606 0.30164915 0.35084623 0.08044993
## [541] 5.17577072 1.02193085 3.14051774 0.95487391 0.12218747 2.59493539
## [547] 0.53941971 1.16144040 1.59598622 0.46500317 0.38268994 2.94685872
## [553] 0.21522248 2.13201250 1.25998005 0.69835379 0.60246488 1.03256348
## [559] 0.82045229 1.30616787 1.05325468 1.33582652 2.74373886 16.07815449
## [565] 4.44743224 0.50543286 1.29154185 0.17503367 1.00330437 0.33308991
## [571] 0.45267309 1.47860264 2.43408042 1.85182112 1.85410017 1.14941182
## [577] 3.65301075 4.39588287 0.31912027 0.72077605 4.69001959 0.52807531
## [583] 0.56543087 0.87489895 1.81674485 0.30379489 3.54123257 2.74329439
## [589] 2.07924720 8.93294429 9.97439643 0.72018926 0.49699140 1.21604765
## [595] 2.67716805 0.84792888 2.25468787 2.92605824 3.24534803 0.42965247
## [601] 0.61929114 1.48476958 0.10999679 0.72803960 2.57366839 0.40525814
## [607] 0.48043387 0.70349797 2.31405559 0.86216944 5.36917342 0.35641910
## [613] 1.27535110 0.28265934 2.13698823 0.91087682 0.18395537 0.47221520
## [619] 1.48835114 1.81529827 1.35532491 0.70287914 1.70066442 0.17178685
## [625] 1.85989880 1.90457556 0.80910867 2.26934622 1.63070117 4.38996261
## [631] 0.43717833 0.19730260 0.47497606 0.21272044 0.90492907 2.77041366
## [637] 0.45807084 0.48983587 1.16008325 1.01757691 1.12066468 3.69714308
## [643] 1.26172473 1.26591454 1.05289415 0.23673229 0.13652275 0.08177874
## [649] 1.89331810 0.66336368 0.61371408 0.96436084 0.89693901 5.71348637
## [655] 2.00376250 0.46360199 0.50899040 0.76432933 0.09374455 1.29968935
## [661] 4.49976856 1.61630665 1.72010275 0.23849806 0.37902569 1.69735299
## [667] 0.35330307 0.92662276 1.50750913 0.57803858 3.43806161 6.28258965
## [673] 1.91278801 0.59416677 0.96876886 1.49257314 0.33975775 0.47849758
## [679] 5.43356359 3.02596769 0.22855023 0.76594685 1.32849805 0.39227306
## [685] 0.41169250 2.18609158 3.83532393 0.16886237 0.19224722 4.39105714
## [691] 1.41871703 0.23666661 6.80695606 0.61558548 0.19759471 1.34727980
## [697] 0.85697117 0.63252509 5.90059454 3.63159376 1.67107818 0.37625166
## [703] 0.28179409 0.20735199 4.40858020 0.44452813 4.34099798 0.68133817
## [709] 7.90599388 0.88971096 0.75365150 0.59443164 1.17959751 0.70841760
## [715] 0.46683174 0.87505161 7.94729661 0.66707056 0.81788548 4.91633530
## [721] 0.95629164 1.30533393 2.30162602 1.31520116 0.45875409 1.27106516
## [727] 5.15547720 0.33468353 3.12398633 1.17388688 2.94749123 0.61803200
## [733] 0.97314578 1.59365158 3.14224238 3.02760076 1.97283713 0.77504183
## [739] 1.85541647 0.34913021 0.47646226 3.85560195 0.93927562 0.12878025
## [745] 0.59218250 0.98130012 0.07246698 0.70681053 2.06390929 1.39046268
## [751] 1.30120334 0.30048356 0.33500945 0.54792237 4.06605525 4.03650869
## [757] 2.02263008 0.54785160 0.58903201 0.78717497 6.80422896 8.97294936
## [763] 0.31022137 0.12808268 0.52979941 1.89738897 7.45876295 2.27071606
## [769] 0.97644619 2.87360973 1.56584669 0.92325924 4.69973556 1.97841173
## [775] 1.13478416 1.66907537 3.21944972 0.36292160 4.26044593 2.87969532
## [781] 0.80960433 0.95913388 0.48059116 1.95111661 1.09522898 0.26160970
## [787] 0.70578104 0.59733270 0.29703952 1.40145900 1.86143053 0.79107035
## [793] 7.25527001 0.12342216 0.45176505 2.44420305 0.08556067 0.85043735
## [799] 1.51541802 3.65069947 4.35119996 1.79679116 0.33095329 2.12282441
## [805] 2.53041934 0.72837667 0.17588141 3.27957202 1.44747241 1.53964900
## [811] 0.12048638 0.53433381 0.94794173 0.56093116 2.74829996 0.69060922
## [817] 0.67141147 0.30435620 0.60412087 0.85698705 0.34563969 5.30310665
## [823] 0.25980731 2.05186843 1.20328319 2.69442671 8.24017724 1.52267267
## [829] 0.08022355 0.25982374 0.58320669 0.35838531 1.67414624 1.61702413
## [835] 0.78450675 0.18136471 0.99382286 1.47278543 1.06114178 0.12675775
## [841] 3.25130590 4.80763739 0.86430281 10.20960464 0.34666333 0.33436728
## [847] 0.19298705 0.42669894 0.28539596 0.67125895 0.54123978 3.49233345
## [853] 4.17259174 1.81460524 0.94473512 0.16631982 0.60033595 2.06275261
## [859] 0.69133298 2.80984065 0.18705587 1.37975780 3.89878377 0.16299553
## [865] 0.23111329 0.49257505 2.79308510 3.39861255 1.12511557 0.81611782
## [871] 3.88533476 4.93809467 9.35381556 0.25138530 1.19898388 0.18441272
## [877] 0.50379128 1.15970361 1.24489995 0.39118404 6.29866304 0.59660744
## [883] 0.22757561 0.58419568 0.32992548 0.89030874 2.49592437 3.38443565
## [889] 0.51807468 0.45501049 0.09518894 1.37463965 6.21686078 0.46172895
## [895] 0.66884744 5.37562568 2.36095654 1.53142949 1.01012959 0.67404604
## [901] 0.92738328 1.30334341 3.78478684 0.32180798 0.20731312 0.96241844
## [907] 0.54200222 1.46742973 3.04566808 0.12496226 0.18459578 0.56333399
## [913] 1.15329745 1.07045646 0.70046166 0.93647430 0.26309489 0.34722358
## [919] 4.69359442 0.06863438 4.21210072 2.34189531 2.39772260 0.30083696
## [925] 0.35445886 3.84005759 0.50870146 5.61139220 0.83791536 0.92764742
## [931] 0.80692417 1.61124253 4.28208635 2.33702366 0.58541692 0.99058624
## [937] 1.56974058 0.76036946 2.12846998 0.57422325 1.87493210 6.59074377
## [943] 0.26663036 1.73801744 0.57379043 2.82691935 1.45529536 5.74267889
## [949] 2.07047110 0.19877006 2.32570584 0.46449755 0.12693231 4.75079161
## [955] 0.35083701 0.63866324 0.92130339 4.14046578 1.72605661 0.85732755
## [961] 0.48175327 4.19757059 0.65512615 2.46386659 0.85708033 0.71050565
## [967] 1.77350982 1.05988340 2.18802082 0.25630143 2.15293447 2.97742472
## [973] 0.57281675 0.81259154 0.31586251 0.13323895 2.73792175 0.32942821
## [979] 0.61200868 0.80739556 0.93406792 5.22549971 0.50611824 9.08187749
## [985] 24.73519050 0.42646191 0.24193997 0.75322762 1.70307974 0.90312210
## [991] 1.74346473 2.47903833 1.49305747 7.67157145 1.42398822 0.43887684
## [997] 0.50642796 0.62753001 0.99733504 5.54361432 0.55197992 0.78901239
## [1003] 3.48695803 0.12009031 0.25444065 0.23649655 0.10342837 1.31847947
## [1009] 3.93248967 1.17833043 0.57621665 1.00569259 0.46152428 1.37328990
## [1015] 0.97122379 0.32028448 0.36131407 0.90317586 0.59056028 0.48921847
## [1021] 0.71590948 0.95493580 0.79235210 3.67619876 2.15511642 1.10022300
## [1027] 5.01380200 1.41703418 2.08791531 1.10052661 2.87687291 0.30695747
## [1033] 1.89668038 4.42566632 1.97656361 0.46638966 0.60567310 0.51760927
## [1039] 2.50616320 5.49521081 0.17923594 1.57006914 1.73307973 1.39018490
## [1045] 0.83939853 4.35394562 0.47513263 18.50651546 0.55015507 0.45708956
## [1051] 1.41540559 0.20693658 0.16373781 0.49037956 0.92188996 0.65830189
## [1057] 0.77596268 0.18576836 4.54260221 8.15466263 0.94270072 3.05435684
## [1063] 0.85243437 4.19850269 1.88087447 3.83697421 2.47071353 0.84719939
## [1069] 2.70706689 1.89342521 0.85403447 0.60862303 0.56550320 1.90420576
## [1075] 1.19396285 0.42878183 0.86629172 1.80647588 3.03000206 3.69838641
## [1081] 3.62291447 0.85530287 1.39524500 1.64811160 0.52514092 0.32671360
## [1087] 12.14149072 0.45403279 0.25605574 4.00406323 1.94325988 1.88760064
## [1093] 0.42791570 4.76533217 0.21458888 1.33347571 1.84853960 15.93743023
## [1099] 1.06654670 0.65970829 0.93696068 1.70395273 2.81088127 1.58262296
## [1105] 2.92020516 0.03447860 1.53994557 2.95645231 2.17307157 0.42343509
## [1111] 0.85704551 2.67963735 1.59234583 1.25791247 12.01989095 1.27234379
## [1117] 0.38028285 1.23666420 0.53555200 0.73808556 0.82592365 0.50247684
## [1123] 3.25647000 2.18554586 1.23502109 0.26018272 0.21627753 0.82306576
## [1129] 1.02330604 0.87618508 0.72120811 0.26872686 1.86741920 0.62281497
## [1135] 1.33222603 0.51108003 1.39947531 1.16458981 0.49334309 2.74645227
## [1141] 1.74759648 3.26451795 1.29543516 1.23427454 2.01956133 0.91874840
## [1147] 1.17452533 0.38304709 5.02378874 0.39537128 1.06450036 0.36606891
## [1153] 0.15510189 0.67575449 5.62506324 1.77305467 0.50731875 0.41622704
## [1159] 0.25400921 0.52002579 1.55615695 0.34859200 6.77799624 0.41182518
## [1165] 5.45237397 0.03854195 0.94549931 3.37950059 0.31771271 0.29316911
## [1171] 0.48320163 3.39495149 1.37154556 0.65162388 2.98977030 1.20314347
## [1177] 1.85033253 9.61173669 0.43298367 1.79314450 0.52480526 0.60309065
## [1183] 1.72293976 2.07485639 1.43632631 1.36190261 0.83532770 0.38043478
## [1189] 0.14265152 1.41517925 0.54088706 3.44895947 1.78592382 1.52700336
## [1195] 0.61979833 4.42542858 0.32132349 0.85177418 3.23585936 5.07547274
## [1201] 1.10495715 0.15918861 1.08705490 0.18038513 0.76363028 0.33203195
## [1207] 0.59687474 0.96947468 1.10267275 0.58583041 1.43579290 1.24449391
## [1213] 0.84661355 3.12885204 2.19943295 1.36657311 0.53139508 2.71213862
## [1219] 0.28937609 0.86381132 5.82213658 3.20816809 0.70158071 0.36267274
## [1225] 0.87059724 4.41232642 0.22792502 3.51817331 8.40821266 2.86907070
## [1231] 1.13241605 0.50002979 0.84136564 0.95409062 0.41515977 1.88908276
## [1237] 0.43283998 0.90990567 1.71987454 1.60918159 0.84092021 4.28653622
## [1243] 0.14864166 3.85972686 0.13658586 0.75619007 0.44615949 0.87758245
## [1249] 0.95748099 0.86595036 2.79629966 0.19717319 0.92702603 2.22803922
## [1255] 1.01643189 0.52040524 0.24538871 0.59636390 1.00581891 0.31886301
## [1261] 2.46742893 2.86720347 1.40730802 0.61765135 0.83789422 0.54294242
## [1267] 1.01612229 1.04908528 0.88970822 1.67114198 4.58142487 4.91401994
## [1273] 0.66508448 5.01270248 0.85666264 0.42507654 2.14388757 0.83542750
## [1279] 3.87813192 0.59788376 0.14935594 0.82650814 1.44517700 3.59358650
## [1285] 0.55380709 0.26511630 1.54188866 0.75930820 0.83414586 0.92134679
## [1291] 0.03705348 0.52899719 0.60207412 0.61976031 1.73173344 0.90095772
## [1297] 2.60502246 2.03694384 0.11494088 0.58543008 0.72276253 4.55416691
## [1303] 1.79570405 0.71110240 0.79752419 3.49815545 0.84459061 2.80518495
## [1309] 0.95348565 1.31403128 3.88533353 1.55232949 0.82676151 0.53644153
## [1315] 0.39063737 1.16751539 0.99092098 1.90788692 0.61996571 0.49340350
## [1321] 0.40683779 0.50573924 1.14194763 0.20578489 2.82936032 0.21001201
## [1327] 2.29104000 1.99619768 0.72733521 0.31185414 6.73326279 3.79955177
## [1333] 5.49245990 0.93911245 1.25835721 0.20110900 1.59529932 0.36591745
## [1339] 3.38958419 0.43401189 1.12271806 2.19268874 0.40472753 0.61493247
## [1345] 1.85608781 2.27389847 0.67972816 1.73135616 0.45821050 0.43158944
## [1351] 0.21760833 1.33175010 2.22367740 5.69014638 1.05076070 0.37458582
## [1357] 0.89296138 0.19503017 0.28716444 0.36280365 0.12388049 0.70727092
## [1363] 2.65263829 6.31706142 2.52060543 8.38815320 0.08492648 0.47803991
## [1369] 1.82308709 0.65178386 3.22572040 0.68716835 0.51052105 1.46545072
## [1375] 3.92568786 1.32301832 0.55021183 3.53010717 0.22831185 1.34806165
## [1381] 1.87289817 5.91692192 1.25063336 0.50221546 0.52445010 2.09364196
## [1387] 0.59085804 0.77156234 0.27739043 0.89145525 0.83400932 1.43553957
## [1393] 1.42808404 0.35268653 2.37380584 1.19984880 1.04316918 6.17032470
## [1399] 0.68501042 3.74041268 0.95478653 0.59964178 0.52137674 1.89343382
## [1405] 0.67459292 2.31222047 1.65396688 0.89647261 3.02825758 1.42782947
## [1411] 0.57995848 1.58095240 5.79528527 0.95941602 0.41059121 0.29888731
## [1417] 2.46911841 1.02024712 0.51685415 0.89775121 1.98286795 1.57249998
## [1423] 0.98674688 0.85610969 0.11166857 0.44871754 0.71946152 0.87452010
## [1429] 0.48313431 0.68044492 0.80386362 1.30374152 3.92900700 4.11506616
## [1435] 1.98586964 0.68408503 1.64127706 0.27980186 0.29067312 1.71449627
## [1441] 2.88020062 0.12668235 0.41784530 0.56595176 3.48499197 0.91759959
## [1447] 1.29731351 1.55921453 0.23091780 1.04425599 0.41257673 0.11378225
## [1453] 1.22404662 11.28662374 0.85409412 0.79990311 1.34023035 1.08779183
## [1459] 3.79735597 1.61078651 1.43164011 0.41108203 0.82398877 2.13121681
## [1465] 0.24870175 0.28469382 0.34040119 0.84661162 3.18137856 2.37845934
## [1471] 2.10632603 0.20274430 0.28501000 2.51718314 1.36974064 2.45031679
## [1477] 1.95073164 1.06659676 1.21096471 1.15039995 0.85013291 0.44278032
## [1483] 0.39554565 0.62661516 1.14373938 2.21274139 0.90481348 4.10430387
## [1489] 2.17754339 2.69543823 0.46259385 0.27322343 1.18172521 0.34484097
## [1495] 6.18806428 2.78258600 1.25806169 1.88332122 0.72777190 3.70830597
## [1501] 1.18077054 0.85895022 0.66181472 1.55551986 0.53243268 2.12084874
## [1507] 0.89471403 1.80507696 0.47826141 0.64870781 0.43411147 0.12915961
## [1513] 1.10533460 0.64331711 2.88726861 1.02682694 0.23228439 0.96706868
## [1519] 1.52078708 1.76168887 0.34285790 0.25763867 2.26766472 1.31785513
## [1525] 1.50578935 1.24969158 0.46565571 0.31314015 4.04218267 12.09748901
## [1531] 2.75293358 1.27667796 1.76735624 0.71856107 0.32244551 1.14629131
## [1537] 0.62575992 1.32062159 0.24574471 1.70255405 0.66168376 2.70032369
## [1543] 1.14337367 2.16650533 2.99001013 1.26770959 4.58813834 2.87334075
## [1549] 0.10208078 2.98278719 1.02180184 0.95117566 1.02665199 3.28437143
## [1555] 0.47758229 1.37178380 1.90699950 0.95111138 0.57290286 2.49951169
## [1561] 2.14448341 1.61216945 0.06230757 4.56302182 0.17827564 0.30502509
## [1567] 0.58724881 0.49855525 0.24754236 0.85429293 0.86835210 1.90289372
## [1573] 0.30490165 2.09308781 1.45104236 0.74120046 18.41311571 0.70590205
## [1579] 0.32658941 0.78566525 0.55102005 3.08669447 1.05388392 0.81189336
## [1585] 1.17707897 1.68275084 5.38021193 0.15926935 0.34217838 0.79542398
## [1591] 0.44262767 0.85797574 0.32645635 4.32395545 1.27718561 2.40590811
## [1597] 1.98831340 1.49761816 1.50426465 1.38963686 8.79628669 1.35626771
## [1603] 0.88621487 0.59998492 0.37374873 0.96568501 0.18232391 0.56384714
## [1609] 0.55253960 0.98538993 0.40022744 4.87227124 2.77312281 7.92411463
## [1615] 1.24419345 1.62242497 0.78669923 0.97981083 6.72844172 1.34734143
## [1621] 5.40496142 0.62533475 2.50785947 0.37550404 0.59381137 2.75591160
## [1627] 1.20688469 4.25758617 1.91217504 1.34299984 0.32096008 0.15467858
## [1633] 2.56660641 0.36144753 1.09559352 0.97625646 0.08484989 2.81600408
## [1639] 2.14075949 2.97947856 2.93461026 0.99675749 1.49570688 3.03510037
## [1645] 0.32665198 0.32390547 3.11808347 1.00089084 1.73217908 0.80989751
## [1651] 0.84767607 26.06267946 0.44509270 0.10906959 2.66190121 0.61771878
## [1657] 0.18766587 1.94518494 0.92024831 3.30301547 0.97954518 12.02941189
## [1663] 2.27743924 0.26861946 2.11650171 0.24378381 0.64670530 0.34603784
## [1669] 0.19883852 0.93750041 0.63895086 1.54738526 0.29897406 2.13252759
## [1675] 2.68818681 2.88060235 0.79387865 0.92310924 4.81329847 4.18521222
## [1681] 1.06677082 1.33930205 0.54113865 5.78027952 0.87705381 1.59297621
## [1687] 0.50699648 0.23030671 1.30369730 0.48196334 1.48754183 0.39742512
## [1693] 3.14084066 1.81806129 1.00298216 2.53368575 0.97185375 1.27488567
## [1699] 3.02249190 0.64439358 3.32134050 0.69532769 1.88599087 0.36977183
## [1705] 0.55160584 1.31238005 0.27377108 1.43382504 1.14213184 1.51854145
## [1711] 0.71562814 0.54075798 0.24042193 0.63523889 0.25352757 0.62543238
## [1717] 1.38619760 2.38252024 0.21622925 0.78596278 0.98180062 0.52558007
## [1723] 0.76556293 3.45153808 1.35845065 0.88637189 1.23774851 3.25486919
## [1729] 1.60497214 0.09808040 1.43602678 0.92232217 3.37091610 1.74138056
## [1735] 2.96980255 0.49470757 1.52722707 0.25779177 1.39222944 1.61561229
## [1741] 1.95548208 4.74580606 0.28694271 1.35920291 10.54068307 11.50233593
## [1747] 1.23783635 0.13481868 2.04578637 1.46696830 0.91069421 2.01422300
## [1753] 1.59843987 0.66787352 1.30692407 0.49237134 1.70204146 0.18365721
## [1759] 0.69178886 5.06564942 5.40404698 1.69116615 0.81236130 0.60156286
## [1765] 1.44568032 0.73411641 1.09624144 0.64943656 1.37168915 2.29923304
## [1771] 2.87260958 0.94747303 4.00636017 1.94525281 0.57055473 0.56082987
## [1777] 0.15135637 0.87286613 0.42846409 2.48493352 0.87009472 0.25438098
## [1783] 0.64033283 0.37248245 2.00031797 0.09150472 2.48237850 0.42402249
## [1789] 4.37393508 0.85982014 0.39179260 4.03623709 0.90332608 4.36807053
## [1795] 0.23745777 0.47709357 1.14135297 4.16875121 2.78485945 3.24903624
## [1801] 0.66797910 0.33217647 3.02012934 1.14356010 5.11244271 0.66502977
## [1807] 0.31219053 3.42033515 1.31731986 0.43303400 0.70066671 0.95586189
## [1813] 0.52685139 3.67503587 0.88849887 2.93306002 2.01094675 0.43010335
## [1819] 1.95741284 0.24293814 0.71556214 1.12120496 1.15638466 4.31453355
## [1825] 2.37810078 0.90597513 3.23942673 0.38685997 1.09208955 6.33247067
## [1831] 5.07109690 4.24963682 0.22139383 0.29617867 0.19008820 0.67177791
## [1837] 1.05546355 1.84123654 0.39951279 1.15737471 0.54289517 0.56679194
## [1843] 0.60792811 1.27028049 5.57388897 2.38947299 1.23025633 0.46343305
## [1849] 0.41478290 0.31285946 2.49750993 9.67402671 0.46968409 3.87454612
## [1855] 0.18514145 0.19993594 1.53840922 0.04614691 1.46959997 0.04724503
## [1861] 3.59649506 0.55580690 0.71643238 2.10175267 17.49872178 6.90815188
## [1867] 5.66046394 0.63142781 1.78931975 1.66556903 0.42130119 0.07381750
## [1873] 0.19247999 3.69013042 1.85975459 0.33957790 1.12200356 0.08063521
## [1879] 0.76760781 4.28581089 2.71354733 0.36813437 0.81630210 0.67195112
## [1885] 0.92968559 3.65638955 1.21333293 1.08060186 3.75305619 9.46645159
## [1891] 0.30532222 1.52100592 0.12886937 0.17756805 1.18551540 0.69081383
## [1897] 3.68382048 0.44598126 0.15261432 1.58117677 3.79409558 1.61174701
## [1903] 0.59074284 0.18997069 4.94257145 0.62779713 1.88031407 0.69143037
## [1909] 1.45394636 2.06268523 0.52046952 0.21082194 0.72420295 3.76825510
## [1915] 1.45300588 0.40513952 0.51972461 0.22961191 3.48021664 0.88452918
## [1921] 3.94447430 2.07366354 2.90665144 0.29120530 1.41953576 0.36330566
## [1927] 0.62204793 1.27317670 0.58368567 7.17447058 2.13727863 1.64517434
## [1933] 0.44258756 5.20368443 1.20863604 2.59244319 0.49815246 1.29882052
## [1939] 0.93142900 1.06494348 1.22615004 6.91703531 8.04736498 0.36798675
## [1945] 1.00990111 4.62673260 0.89219936 0.22767987 1.14750796 0.42178874
## [1951] 0.26320952 1.14977004 1.56311267 0.64885971 1.60869175 1.22485952
## [1957] 0.37596165 0.18507733 1.69849903 0.97877266 3.46709900 5.99048860
## [1963] 0.41933427 1.57916443 0.25834017 0.43738545 1.11600018 3.47871779
## [1969] 0.21968133 0.45856503 0.41556531 3.22417538 0.49668851 1.12883801
## [1975] 0.69200561 0.21381809 0.63674282 0.16301812 1.36955888 0.83287804
## [1981] 0.55604974 2.65651761 0.58132379 3.53731145 0.67972973 0.66735569
## [1987] 0.64774174 0.19809056 0.50710260 2.72193865 1.97420563 0.42500123
## [1993] 0.41587447 4.07504728 0.14281422 0.38027911 2.38319413 1.28379748
## [1999] 2.91694177 3.87971771 0.68303381 1.07333161 2.78869559 1.31699424
## [2005] 3.54845868 0.26413405 0.17050013 0.48238555 1.50848071 1.44017412
## [2011] 2.41362596 0.44955077 0.98315833 3.57768082 0.72780008 0.27272434
## [2017] 0.76290633 1.29884906 0.74385894 1.77939814 1.89172214 2.07129820
## [2023] 0.72741587 0.11984283 7.23310333 0.86311456 1.19433527 0.50204656
## [2029] 3.53092323 0.93622975 0.83025652 0.54403748 0.55882365 0.39255650
## [2035] 1.50429255 0.53559082 0.92087777 0.66725265 0.21496536 0.54769180
## [2041] 0.86961125 0.71065452 1.17491244 3.43537848 1.11965217 1.85056591
## [2047] 0.93112652 0.83323390 0.85391704 0.88006612 1.76096483 0.57326628
## [2053] 7.79207883 0.24055008 0.19397016 1.24370616 0.76260229 0.88047608
## [2059] 1.07759764 3.23933236 2.99149336 0.32310735 0.99126538 2.54423745
## [2065] 1.36510015 0.25510799 0.65415551 1.25427600 0.37185802 0.58899962
## [2071] 0.75334676 0.49817540 1.38532557 0.13659170 3.51162917 3.08931062
## [2077] 0.14320313 0.81032835 1.12715658 0.73222871 0.20092026 0.22219189
## [2083] 1.10122990 1.28030648 0.78477296 0.60150999 0.23351035 1.31675131
## [2089] 0.34272624 3.59612944 1.53016710 1.26699792 0.35070357 0.84474306
## [2095] 3.14147804 0.87398514 0.96943135 0.11457605 0.29825197 10.56324244
## [2101] 2.36939111 1.37431937 0.49159604 0.79310000 2.96496888 0.77568309
## [2107] 0.41559283 8.01695524 1.79790255 0.29595179 3.93456679 5.04360730
## [2113] 0.71412290 0.46031822 0.28054456 1.67642234 1.02684996 2.28115374
## [2119] 0.31674206 0.81468224 1.61943439 0.79213139 0.94304587 0.16366605
## [2125] 0.15979531 0.64244572 1.84588754 1.26099713 0.17950251 5.18635788
## [2131] 0.26901150 0.40820476 0.34027900 1.04493533 1.35445541 0.39503460
## [2137] 1.12382712 0.83542537 1.10058657 0.73698948 1.69677648 1.56350895
## [2143] 1.23826309 0.35724267 0.66519174 2.21552732 7.54656655 1.86591870
## [2149] 0.46204525 0.89780635 2.50652867 1.13623046 7.71054715 2.69826932
## [2155] 3.39408977 0.52360574 0.12564733 1.71690821 0.71536388 0.74464790
## [2161] 0.49562452 0.66998731 0.39696073 0.95917014 2.27239684 1.28274518
## [2167] 0.23164955 2.01334183 1.65816545 1.82345767 0.52898044 1.26150138
## [2173] 1.00981329 1.56698390 1.11048721 7.74688383 0.30928021 2.79142816
## [2179] 1.51630647 0.78518515 0.26211472 16.16325932 2.46336435 0.61863296
## [2185] 0.25875787 1.03163616 3.19778358 1.63710750 0.08654107 4.18288900
## [2191] 0.23223630 1.94728855 0.66842547 0.65298370 0.75228066 0.71435560
## [2197] 3.13428787 1.33960232 6.21988063 1.59291960 1.67884513 0.53366144
## [2203] 1.88004637 0.41265693 0.35811236 0.38471294 2.41933627 0.62514688
## [2209] 0.25366212 0.45828016 0.21957311 0.14112608 0.81413744 0.97726498
## [2215] 0.83810032 1.13331230 10.23957009 2.56658953 0.18544277 0.58825049
## [2221] 1.23807215 2.43766533 3.35059842 2.46630220 2.66935670 0.96792631
## [2227] 0.18522540 1.40191664 0.38044353 0.48448652 0.44387167 1.80929143
## [2233] 0.91172045 0.63432231 0.52201211 0.39594606 0.68575684 1.53524089
## [2239] 0.42361669 0.47436368 2.15044484 2.33030960 0.63812459 1.16450648
## [2245] 0.20969107 0.17004174 0.10353322 0.38334747 1.16265829 13.03257164
## [2251] 12.64055256 0.34015457 0.55735363 5.27997005 13.63643695 0.94065828
## [2257] 0.35715621 0.73587359 5.07365830 1.04655219 0.61188175 1.46589475
## [2263] 0.35335907 5.75310492 0.94415670 1.18829076 1.42660045 2.72112328
## [2269] 0.09912683 1.93615740 1.38762663 0.84679400 1.89285620 0.42056490
## [2275] 1.78353625 1.40758045 1.49267450 0.65882859 0.77412210 0.48679813
## [2281] 0.65484762 9.75261350 0.43387879 1.56928738 0.64422414 2.57833801
## [2287] 0.73859924 0.60770122 0.26497480 0.67042247 0.65606413 2.41201226
## [2293] 1.35656541 13.68757844 0.11461426 0.70961529 1.95078290 2.13811361
## [2299] 0.99753870 0.64946072 0.48840004 3.07056099 2.89855581 3.15808986
## [2305] 0.66157636 0.60820997 0.33297348 0.43378036 0.93589323 0.54256239
## [2311] 0.37827448 0.36953268 0.47696118 0.59425007 1.57306810 1.82110220
## [2317] 1.27500801 5.25283399 0.52901043 0.62895396 1.92674743 0.57075210
## [2323] 1.29672127 2.31880224 0.31921791 3.77360908 4.09836167 1.89695976
## [2329] 4.02382142 0.84210296 0.63331800 3.32267953 0.96622680 2.45142276
## [2335] 1.45635773 1.06000331 0.73388424 3.01161513 3.79190313 0.30866942
## [2341] 0.80012863 0.20680281 2.38235566 4.08533722 0.50049978 2.15079284
## [2347] 1.76354716 0.61188542 0.43075326 0.58185315 1.09417714 0.18328050
## [2353] 3.40759410 1.18271707 1.43397819 0.55298381 5.60454353 0.94050336
## [2359] 0.66717184 0.46811199 1.42565448 0.27816199 0.56760592 0.87305621
## [2365] 0.16704543 0.67427297 2.33877338 4.12552063 1.04165187 2.17918988
## [2371] 0.70225465 1.10183331 0.27673651 0.60361582 0.19824066 0.13065013
## [2377] 0.40573919 2.09832642 0.43012968 1.34404431 7.86522445 0.21866707
## [2383] 2.77095911 0.50529891 0.40674718 0.77060650 0.21893325 0.46964050
## [2389] 0.23246521 0.61169191 0.62718751 5.23732560 0.68861148 0.20857620
## [2395] 0.52956117 0.61200445 1.49103255 0.31428723 0.64709125 0.22798281
## [2401] 0.65266064 0.45637679 0.77160627 1.47801793 1.50933896 0.28585436
## [2407] 4.96930847 2.18883390 0.17094785 2.32763712 0.20915495 3.27963122
## [2413] 0.07512855 0.21507312 0.42821810 1.05721514 0.26338930 0.64380089
## [2419] 0.59082872 0.27111861 1.33100190 1.51766618 2.69136287 6.47567490
## [2425] 0.35677909 0.61809117 1.95758909 3.51776593 0.31284562 0.56723206
## [2431] 0.60362135 1.26822394 1.50135126 8.02473099 0.16157132 0.38491610
## [2437] 4.08040807 3.66452311 8.20231545 4.74347582 1.67923167 2.30610172
## [2443] 0.20161702 1.24897519 0.64384974 1.42177384 0.42506019 4.79435414
## [2449] 1.88820806 4.14915642 2.02578672 0.20787160 0.39363638 0.42349123
## [2455] 1.12157569 0.52536224 0.99961818 0.25949101 1.82934218 1.66382021
## [2461] 6.08240707 4.27700562 0.45043713 2.53999179 0.33256164 0.54978177
## [2467] 1.25889164 0.61978989 1.94679487 2.26054698 0.70612724 1.52464110
## [2473] 3.97570782 3.07457517 0.27700538 0.70236658 0.39772470 0.35400271
## [2479] 0.83258293 0.21417902 2.20797088 0.50983310 1.37071233 0.73642210
## [2485] 0.09127366 6.60824689 0.45031682 0.55752938 0.44698845 0.40737071
## [2491] 0.46407749 1.89993496 1.12802676 6.64228297 2.80544329 1.22625292
## [2497] 0.37488152 3.08343153 0.83810946 1.60675186 1.19768775 0.34071655
## [2503] 1.46214788 0.41617426 0.20841507 0.87242926 1.00526736 0.41838012
## [2509] 1.12677382 0.46225642 0.18466993 1.59469950 0.11711729 0.32657934
## [2515] 0.39151585 0.82016640 0.33111715 1.06440232 0.63773849 0.20245952
## [2521] 0.68078752 0.51513264 1.64635072 0.30170127 9.76607038 0.53078345
## [2527] 3.56272303 0.16404930 5.08022826 1.06154501 0.40284496 0.96592697
## [2533] 3.53465460 0.57364813 1.14866038 2.20853475 1.37941276 1.95502327
## [2539] 4.59741592 0.92199445 1.45929169 0.20442081 3.81530772 0.24300858
## [2545] 1.58949257 2.02142248 2.71906058 1.04198033 0.40067811 0.96119945
## [2551] 4.17199315 0.31128327 3.18439300 2.61452267 2.26248922 0.80882918
## [2557] 0.11356825 4.34556528 1.37859041 1.50176253 1.18408852 2.05961245
## [2563] 1.18023755 0.48139277 2.21678587 3.50324103 0.78051249 1.61957737
## [2569] 5.22793165 0.53109415 0.16005539 0.37978320 0.92545029 1.03722054
## [2575] 0.42528317 1.14072782 0.69126311 0.25673500 0.23162071 0.18404970
## [2581] 2.12833380 1.23596758 0.24157390 1.41065210 0.22401566 1.47533702
## [2587] 0.39049566 6.37530898 5.47612066 3.02072028 0.09252460 1.50613183
## [2593] 0.28982142 0.16603066 2.60008373 3.15258408 2.66644372 0.47168809
## [2599] 1.95807043 1.25890390 0.51067577 0.35751243 1.85265479 4.75863685
## [2605] 0.94940933 0.33314584 0.80381767 1.99151162 0.68880370 0.36038184
## [2611] 1.30629513 3.97825709 3.81128810 1.75837010 2.20831976 2.85289890
## [2617] 2.84337883 0.35533186 0.49277775 2.11304555 2.98234790 0.42049589
## [2623] 1.79139898 2.19936607 0.45058915 3.34586517 3.52120204 1.31640932
## [2629] 2.91184444 0.80803821 1.82249547 1.64020709 0.46495350 0.86901695
## [2635] 3.87037838 0.43968518 0.21473133 0.40497743 1.64727670 0.27848722
## [2641] 1.04838213 0.31320346 4.36509288 0.54993182 2.99822790 0.25048858
## [2647] 4.55483109 0.28434676 2.48889247 2.01331656 2.77990849 3.22212591
## [2653] 1.72218310 1.18395485 0.97501360 0.96762051 2.13841902 0.36695033
## [2659] 2.21043480 0.05154299 1.34012277 0.29205391 4.47385221 1.39284035
## [2665] 1.08064227 2.46419566 0.40029632 1.16837722 0.40220845 0.83706678
## [2671] 1.63635372 0.85480082 0.62030013 3.22309784 0.25524665 0.42249343
## [2677] 2.49691614 1.70961809 0.72169672 0.75513128 0.96370106 0.58549699
## [2683] 1.52805998 0.60296085 2.17944619 0.45430809 16.71298200 1.00989312
## [2689] 3.71983673 0.54512102 0.29913537 0.56210087 2.08321225 1.49998816
## [2695] 0.72688368 0.73177685 0.44387737 1.29973777 1.41211118 0.20290784
## [2701] 0.42688119 0.61189672 0.49297548 0.29347299 2.16743907 1.94650273
## [2707] 1.56764578 6.07261387 2.82764548 1.96134401 0.23726616 7.45010709
## [2713] 0.84750438 0.78086984 0.52786347 3.28726108 0.74053642 5.20538224
## [2719] 0.25881793 4.39330029 3.00354747 2.86955942 1.50804132 1.93930575
## [2725] 0.22077734 3.09910483 0.14198870 1.02327251 1.99284231 1.66447386
## [2731] 3.26142132 4.34976781 2.41243921 0.42143434 0.94158982 0.23868596
## [2737] 0.28940623 2.36998061 0.28645221 2.72146703 0.33175992 0.35792485
## [2743] 1.00164888 1.21132807 1.11937881 0.15109028 0.24261359 2.33623775
## [2749] 0.16546868 0.24441553 0.30860715 0.10103529 0.25797384 1.01257626
## [2755] 0.70575227 0.22714494 1.13953976 0.71277825 0.10187292 0.43818256
## [2761] 0.67024994 0.75214830 6.38924922 0.26526424 0.14782883 0.35703431
## [2767] 1.33666101 0.26870222 0.51159698 1.52292100 0.76630461 0.92521169
## [2773] 5.27603640 0.55154365 0.92446641 0.23284386 0.46135782 0.66376285
## [2779] 0.47923681 2.23848445 0.40022126 1.16271650 0.19006380 0.23041687
## [2785] 2.53406760 0.92773374 1.28335992 2.72517316 0.71444250 1.68698220
## [2791] 2.12849102 2.02659249 0.46572314 0.85927170 1.81961659 0.51928115
## [2797] 14.36191152 2.10530014 0.92475181 2.13910142 2.59028022 1.17006085
## [2803] 0.11669566 14.30055858 0.31876580 2.13963830 0.20871529 2.95384215
## [2809] 0.63087852 3.32481695 1.24250081 3.88531342 0.72201097 1.00465089
## [2815] 1.44742400 3.66113862 0.26172237 0.57326690 0.25902942 2.62842555
## [2821] 1.35774494 2.42928168 2.42973025 0.40748458 1.86202479 0.21462247
## [2827] 0.45294409 0.18482259 0.48593677 0.30568738 3.27655567 0.28747819
## [2833] 5.16411019 3.39468881 9.46753816 0.23512006 3.86787428 2.01199248
## [2839] 0.50368782 0.88403093 3.39299404 0.30158266 0.60589321 0.30661475
## [2845] 1.03801955 0.88307688 1.66148254 5.60180185 0.39283022 0.31568901
## [2851] 0.31119865 2.51534490 13.38515357 4.47151816 0.16400699 0.78756948
## [2857] 1.59287142 0.25003874 1.43448769 0.25581051 1.54583208 0.15542030
## [2863] 0.78467383 0.35178008 0.31739068 2.09174927 3.16045691 0.44980442
## [2869] 5.43224169 1.12237352 10.20441871 2.76888342 2.06364659 3.10039443
## [2875] 0.70153368 2.72523900 2.62691213 1.31281473 0.61477742 0.49499243
## [2881] 1.95121105 2.22735362 0.67862698 0.99456787 1.58514625 4.98557869
## [2887] 2.15911574 0.77758760 8.29944809 1.09384818 0.61891107 3.54399392
## [2893] 8.88315719 1.76629380 0.18277860 0.24820459 0.91580187 0.18852876
## [2899] 1.00470992 1.99906897 0.24904450 4.07649667 3.43807772 2.42279075
## [2905] 0.23645804 0.22365525 0.58985899 3.02302730 0.96830629 0.51577292
## [2911] 3.62061170 0.37902810 1.71771009 2.33669625 0.26242813 4.37080061
## [2917] 0.90952565 1.08950630 5.18513666 1.62736091 0.18936316 1.42604253
## [2923] 4.76922025 0.44650731 1.97970005 0.83939272 1.23622025 2.27338720
## [2929] 0.82868533 0.71443966 0.71465896 0.13930460 0.78655389 0.76824319
## [2935] 1.39809475 0.63301672 2.45468227 1.00544548 1.95701197 0.80018087
## [2941] 0.58048435 0.57984171 2.28574977 0.78268389 0.30406730 0.50419588
## [2947] 0.27061445 1.16146727 3.80269352 0.83931775 0.88698976 1.97471128
## [2953] 0.26804035 0.26299008 0.66627820 0.13377414 1.44453255 0.79421112
## [2959] 1.76381986 0.27431181 0.99922002 1.35998667 1.16365344 3.26399667
## [2965] 0.84750662 2.08925078 1.58991806 0.63027995 10.22041518 0.35134474
## [2971] 0.14472386 1.22962235 4.19220394 0.73279349 0.55871221 2.32700120
## [2977] 0.80232132 1.55137996 2.56892820 0.34119849 0.60260666 1.64034567
## [2983] 2.58301692 0.46515463 1.48791765 0.72657505 1.56082736 2.43419662
## [2989] 0.48453802 0.37692420 1.62044797 1.79374482 0.99096886 5.05378614
## [2995] 0.49386509 1.20210250 1.93822346 0.50861381 2.09060214 3.41062250
## [3001] 2.12182873 1.08798696 6.80469897 0.27243753 1.49368299 0.34340586
## [3007] 6.14664261 0.50948389 1.19353471 1.62005563 1.16387732 0.32660462
## [3013] 0.89001075 0.81188895 2.47212488 0.88213806 1.14945351 0.93000371
## [3019] 8.78366923 4.83774655 0.39478893 2.02443912 6.49549770 1.20403759
## [3025] 1.40370415 4.67996112 0.78371375 2.78314351 0.61602308 2.36462680
## [3031] 6.42244138 2.00174724 0.37301828 1.29020866 0.67975650 4.68869964
## [3037] 0.83259785 1.88529036 1.32542182 0.35482711 1.25796145 0.47136847
## [3043] 0.93165340 6.85711013 1.05522999 0.13928820 0.24528928 2.37591483
## [3049] 0.36129195 1.02813640 0.88929792 0.75345808 0.20517296 2.58064663
## [3055] 1.16255386 2.04020126 3.98600655 0.66195918 1.07313932 1.16011641
## [3061] 3.80538168 0.55603792 6.18327657 3.43482801 0.20266151 0.43062353
## [3067] 0.77561807 0.77669433 0.53800787 0.67583804 1.03082610 1.08117602
## [3073] 2.36176257 2.07278181 2.09062781 1.64067936 0.70037671 4.19590220
## [3079] 1.41317310 0.50470712 1.81461032 0.82684127 1.49688070 1.13049510
## [3085] 1.43577399 0.48524672 0.35865832 0.99755568 1.03172676 1.68323495
## [3091] 4.10814768 0.34182253 0.27922616 0.14211193 9.72931672 6.18313727
## [3097] 0.60502968 0.90750627 2.20018770 0.82920882 1.27941556 0.21359871
## [3103] 0.24579009 0.24934283 0.17949362 0.29845539 0.48822273 0.26960510
## [3109] 1.16035032 1.06873622 5.93493472 4.63331128 0.37181725 0.55334010
## [3115] 0.30744775 0.69938448 0.51656567 0.98672969 36.64443613 1.21070948
## [3121] 0.48621749 1.40635821 0.46016137 1.98811212 1.06688461 0.24069647
## [3127] 0.29730307 0.40051115 0.40924996 1.27808807 3.12525660 0.92191444
## [3133] 0.51790013 1.89716153 0.54724470 0.37799281 0.42275132 0.40821805
## [3139] 1.28715153 1.53987554 7.07876661 0.86870830 0.25739626 4.26415320
## [3145] 2.76549204 0.18990864 10.27325059 0.72309373 1.29926064 2.15641016
## [3151] 0.12039499 2.15415474 2.48746831 5.43356409 0.60272807 0.60463390
## [3157] 0.48924134 0.50310121 0.62526219 0.83828740 3.02354110 3.23848727
## [3163] 0.85642500 0.83652688 0.44975582 0.76222658 0.07796587 2.12390669
## [3169] 1.39535881 0.58480828 2.71514649 1.28537496 0.87262794 3.19674957
## [3175] 1.21541385 1.88734686 0.64709975 0.23656537 2.73682853 1.97791492
## [3181] 0.08449595 3.43651782 1.88543357 1.05123991 2.09926764 2.40340087
## [3187] 0.24920690 1.01693455 0.18224644 0.45349510 0.64764210 0.97202085
## [3193] 0.32537277 0.77713160 0.48043636 0.69574595 1.79310422 9.04468184
## [3199] 1.68765367 0.75892231 1.03373081 0.04259801 1.63683398 1.00930169
## [3205] 7.04317311 3.03450448 0.69959970 0.37705597 1.67042676 0.37246070
## [3211] 0.92101017 4.39884449 0.66837706 1.70372069 0.37491366 2.09455090
## [3217] 0.96182173 1.90928483 0.77051633 1.33999599 1.17114488 15.48985204
## [3223] 0.87903820 1.19841810 3.66804305 4.12935793 0.62803941 1.96834215
## [3229] 1.87639301 4.43561954 1.32735865 0.46895759 13.08345907 1.26091434
## [3235] 1.15096550 0.34597342 0.60967937 1.86716474 6.56579051 0.77841402
## [3241] 0.19660210 0.15733673 1.12559354 2.26326492 5.01713239 1.15676145
## [3247] 0.31674365 0.99974445 2.38386818 0.42099967 1.17994929 0.14386985
## [3253] 0.34100531 0.39085598 0.33505606 0.89938842 0.10745282 0.79176539
## [3259] 6.11084249 0.37499884 3.95867208 4.14971345 1.41448136 1.05867913
## [3265] 1.28280448 0.90456642 0.33260273 10.80680226 0.88597730 1.29987313
## [3271] 2.33453016 2.30659241 0.24195110 9.41960878 0.11236335 0.42650457
## [3277] 0.17108663 0.21866624 0.35928312 3.05646281 0.63235821 0.62394953
## [3283] 2.01725871 2.75840240 2.00315293 0.73025260 0.98430811 0.78463238
## [3289] 0.53276654 7.85060509 0.92966539 0.77016405 2.41611290 1.41211259
## [3295] 1.14817240 1.42438453 2.43598505 0.88880640 1.63125463 1.26859138
## [3301] 0.85905487 0.19054930 0.71003405 1.11492649 0.94854233 1.23888228
## [3307] 2.44632937 0.50064571 1.16201994 0.48847449 0.85987111 4.89014792
## [3313] 0.44872930 2.21902159 0.64240470 1.24500610 0.35475132 0.56678170
## [3319] 0.40790626 0.78071707 1.13171823 1.51199183 0.87988138 1.74985606
## [3325] 2.41261050 0.19499348 0.58627954 0.29187672 3.93683337 0.74311792
## [3331] 0.82906080 1.05294012 0.95515217 2.60964632 2.53451306 3.31735450
## [3337] 0.35352416 3.68481735 0.57041025 0.42783290 0.38528625 0.69448677
## [3343] 0.43197558 1.54703189 0.42068946 1.47888278 3.68824906 0.19570040
## [3349] 0.26096517 0.14486570 3.56192789 0.59191402 2.21064971 0.50494900
## [3355] 1.41432636 0.74256218 0.83215335 1.21194001 0.43852934 0.51069823
## [3361] 1.40851375 0.36797919 0.34368959 1.31803142 0.49675644 2.35319879
## [3367] 3.14452309 0.21966968 0.28834452 12.95491419 0.98949893 0.12701119
## [3373] 0.07581898 0.84590891 2.31035589 0.63804455 0.93336471 0.12062950
## [3379] 1.34633733 0.82691652 1.56450403 1.01444788 1.03978085 0.51399622
## [3385] 1.25163186 0.71024452 0.50769313 1.46338931 5.78484319 0.48255027
## [3391] 0.07831635 1.38278369 0.77715897 3.07116127 3.53200677 1.20562901
## [3397] 0.26553418 1.07524999 0.37872109 0.71794285 0.91216531 0.54002775
## [3403] 0.35150874 0.90169326 0.16361552 1.51097916 2.97663268 0.58273400
## [3409] 0.42782594 2.38973479 0.30225416 0.62356303 1.38642450 0.88302498
## [3415] 1.21257302 1.24489099 3.38489121 0.62990239 0.29362440 0.20249251
## [3421] 0.36982024 1.25967416 0.24898618 4.82308615 0.18139380 0.63104310
## [3427] 1.64290645 1.14240275 2.18965649 1.23293451 2.61741575 0.25134020
## [3433] 0.42155343 2.64309838 0.19973099 1.33951640 2.49495314 0.89817253
## [3439] 0.99955956 0.34764249 0.60089573 0.24623221 2.21960598 4.34946150
## [3445] 2.70348963 3.04216995 0.78840989 2.17608557 0.20228335 3.72545905
## [3451] 0.50920637 0.22506490 1.67551026 0.86254196 2.40763993 1.04055549
## [3457] 1.86694513 2.49266215 0.80660248 1.33378167 1.01728019 0.66466137
## [3463] 0.28579930 1.28414596 1.36382549 3.90231587 0.93369528 0.77774036
## [3469] 0.92310890 0.36160061 2.16770705 1.17105949 0.36557061 1.45644419
## [3475] 1.27173141 1.71151200 0.40460664 0.78843626 13.09002687 1.50276232
## [3481] 1.42803829 0.43617161 0.77087288 1.50779806 0.56581985 0.30387784
## [3487] 3.49207251 0.12502378 0.70375154 1.65148460 1.01108899 0.35854897
## [3493] 0.09741679 0.51239885 0.77756956 2.07847616 0.99866561 1.78262032
## [3499] 1.31509420 1.75546716 1.37867793 11.57712611 0.44966382 2.24976580
## [3505] 2.84509670 0.40334658 0.92106042 2.88917431 3.74908744 0.51879202
## [3511] 1.65408947 3.61568103 0.79138223 0.70250818 1.46999480 0.15215092
## [3517] 1.12938944 2.55656734 0.71862138 0.95537674 0.88362883 1.16423593
## [3523] 0.42930126 4.46590375 2.04165408 0.13904574 2.11518953 1.06854267
## [3529] 3.31068836 1.92307423 10.27452748 6.99640968 6.18434586 2.13368508
## [3535] 4.51827337 1.98211320 0.78258156 3.33549013 0.76236662 0.31579556
## [3541] 0.36034950 1.01232165 4.49219561 0.13606176 3.86305326 2.49570443
## [3547] 2.30608728 1.24563291 1.14853896 1.32013980 0.57473664 0.55313948
## [3553] 0.35622711 0.25226011 0.82214312 1.28979779 1.96662265 0.96075364
## [3559] 4.61864272 0.37217450 0.60972587 0.83804844 4.48056497 0.36255253
## [3565] 5.38113013 5.23580099 1.69466415 2.81555617 0.42508694 0.76107599
## [3571] 0.35607155 1.57302551 2.64338805 2.35105654 0.94996585 0.16665144
## [3577] 0.99205700 1.30329740 0.33490915 1.30445409 1.19116030 2.80788148
## [3583] 0.90934096 1.49955337 0.40871456 1.59366938 1.23687962 5.11428817
## [3589] 2.74790238 0.18190532 0.23338637 1.54437117 1.46594441 6.29099567
## [3595] 1.40365537 4.12929455 0.23918553 1.25116686 0.42328045 7.00723122
## [3601] 0.81229982 0.63732778 0.36703229 2.93001081 0.27082905 0.79506019
## [3607] 0.18842967 0.68514143 0.31946497 1.68919587 1.76555594 0.85336197
## [3613] 0.71143414 0.55302241 0.06828563 9.03252402 1.21484695 0.65987198
## [3619] 0.44742797 1.08722947 0.33865170 0.48039160 0.98483794 1.79388667
## [3625] 0.69282167 1.79010301 0.52160036 6.32996277 1.09430296 0.70208488
## [3631] 1.56326984 1.15872416 1.36519224 6.10732864 0.73508625 0.65985839
## [3637] 0.94870652 0.65255242 0.15579734 3.55252504 1.77268117 0.40044350
## [3643] 1.74744075 5.17491420 1.84723334 1.25171857 2.25745336 0.37099376
## [3649] 0.55006650 1.24346068 0.75341686 2.85940611 0.65288129 0.09119181
## [3655] 1.79286282 1.32300647 1.69471861 1.12549718 2.97920654 2.22481747
## [3661] 1.94481756 1.63509695 0.49915408 0.82742617 0.17589513 0.37018034
## [3667] 0.37505176 0.26805204 1.07300076 1.47176522 0.15747780 0.53849776
## [3673] 0.43914989 0.79576088 2.05633452 1.34157900 0.06466021 0.97670237
## [3679] 0.88912492 1.15255780 2.24096201 1.40159665 2.75591953 2.71768724
## [3685] 0.94268409 0.49882248 0.82620574 0.74688511 1.89959422 2.12123075
## [3691] 0.84564824 0.80250872 2.24596757 3.55548732 1.95771523 1.01812605
## [3697] 3.32028155 9.90139202 0.57134718 0.96356147 0.39862138 1.06285794
## [3703] 0.86019943 0.96505701 0.38766315 0.05511325 0.78229996 0.43255582
## [3709] 9.64596481 0.23598315 2.38870546 1.11382554 1.90886277 0.39013752
## [3715] 0.13930392 0.15102660 0.71475947 0.45925962 12.61066937 1.90684251
## [3721] 0.84771446 0.16301093 1.05640409 6.61247777 0.89020281 2.99771947
## [3727] 0.97605059 0.88620691 0.63259811 0.67596967 1.20154091 1.90846797
## [3733] 1.71982106 0.24636544 0.51827589 1.48428692 0.39645899 0.24177564
## [3739] 0.48152764 3.29452099 0.31742688 0.59839967 8.47952401 1.31766715
## [3745] 0.34586168 0.87785823 0.76170779 2.35847450 0.64452811 0.20504412
## [3751] 2.65057144 0.49107366 0.94764952 0.96481780 0.90101565 0.48270674
## [3757] 3.87756127 1.11053931 0.54210236 0.37378217 1.40847864 4.26063180
## [3763] 2.05973279 2.69265421 0.43201280 3.19190494 4.98711120 1.71166589
## [3769] 5.34529034 0.73181486 1.35230386 2.51366146 0.28261728 2.55499671
## [3775] 7.27168482 1.62552868 1.47602094 0.86641018 0.25546801 0.59679385
## [3781] 0.74192910 2.46193120 0.82443458 1.31794544 0.73103737 0.48004165
## [3787] 18.00665215 0.58930651 0.91573500 3.82580378 1.05734112 1.95744338
## [3793] 0.69892815 3.58029452 1.35663053 0.42267605 0.08501992 0.44144497
## [3799] 1.15168109 0.53646522 1.77789670 1.60644638 0.29974576 0.63364061
## [3805] 0.28786380 1.33124391 0.23023844 1.17003321 1.29147473 4.81675158
## [3811] 1.70650717 0.13001695 1.18531736 3.08987844 1.11233670 1.30942575
## [3817] 1.26306894 0.86494345 0.67906449 7.98819979 2.21747244 1.72263957
## [3823] 2.81897996 0.26456197 0.36521968 0.13538375 1.59557269 0.55346261
## [3829] 1.80158061 1.59611616 1.77894378 2.46537014 1.27874998 3.93162044
## [3835] 0.63066980 0.78758595 0.17672579 0.84261232 1.79473704 0.73680032
## [3841] 2.19088615 0.64935884 0.75381507 0.60967802 0.35616315 2.15492671
## [3847] 0.33887548 0.45798504 1.38555080 1.90860221 1.50049314 0.43094130
## [3853] 4.75218355 3.40916256 1.46522570 5.61483298 1.18520327 0.87674661
## [3859] 1.66647629 0.96161169 0.14313535 0.52175310 1.08374325 1.39344381
## [3865] 10.78299196 5.63763885 5.63526339 0.19181670 0.14664408 0.38059631
## [3871] 0.30762632 0.71843685 0.68746006 1.86420182 0.23138761 2.26766270
## [3877] 0.45562627 1.08645800 1.65015741 0.56549400 0.40005599 1.50908277
## [3883] 0.26865246 0.43236457 1.80503226 1.10109162 0.50151740 0.78004437
## [3889] 1.75840910 0.52085595 1.16731449 0.67381720 4.54904847 3.22065995
## [3895] 0.65976796 0.19090496 2.55752160 1.50200296 0.42410423 3.55205753
## [3901] 0.94027084 7.78148277 1.04054422 0.59474139 0.62140043 0.32936618
## [3907] 2.96743212 0.66990163 0.49433984 0.61499721 0.36216532 0.37015287
## [3913] 0.67818877 1.61132639 1.95592722 1.49578522 0.62939008 1.29634997
## [3919] 3.37285834 4.73605656 1.68755712 8.11545718 0.36522889 1.45012705
## [3925] 1.75505401 1.13769248 0.43514645 0.29526091 0.50019206 0.33899722
## [3931] 1.09096513 0.81999128 0.42700331 1.42204435 0.63589785 1.62354620
## [3937] 2.88056437 2.89010289 0.99730161 1.47304545 1.92667715 2.37522901
## [3943] 7.02131062 0.75500021 6.23697120 0.46816890 5.44761066 0.85017215
## [3949] 3.63690750 0.41144114 1.02495888 1.04113096 1.53731979 0.23033707
## [3955] 1.52219216 3.57246601 1.10996963 0.53492951 1.32155758 0.30765720
## [3961] 0.95699446 2.71356847 0.50118881 2.13491090 0.64020884 1.06723647
## [3967] 5.75446599 0.17187172 4.93903727 0.33638471 0.78631045 1.97297204
## [3973] 0.32995740 0.25181951 0.88693668 3.54576394 1.24198072 0.88223133
## [3979] 0.55966391 5.32220918 0.85403061 0.80060968 0.34749313 8.20383488
## [3985] 0.95256361 7.96653506 2.21238597 3.25101010 0.65021947 0.66065110
## [3991] 1.21861039 1.99352101 3.10209801 1.82975278 3.13242818 1.81540710
## [3997] 1.38803827 4.67473244 1.09141393 0.69987951 1.40614971 3.87138212
## [4003] 0.81020551 0.67717631 3.14289803 0.08329308 0.10132957 0.97134715
## [4009] 1.23435882 3.72812653 3.50886285 2.08638545 2.86723651 1.41600915
## [4015] 1.24637180 1.10733229 1.03827555 1.05704852 0.55450682 0.61284172
## [4021] 0.73621197 1.59424810 0.12367580 1.49259288 2.93521372 3.86665415
## [4027] 2.14023696 6.91199669 1.15138819 1.74741961 0.38076866 7.22828707
## [4033] 0.64792411 1.69781334 2.18040490 4.58982230 0.67279720 1.35107063
## [4039] 0.41259454 0.53277856 0.49976490 0.15933365 1.22711076 3.00394920
## [4045] 0.88511033 1.63697422 3.46851477 1.00669851 2.01650283 0.28785463
## [4051] 2.44628082 0.73810494 1.77340324 0.25804339 0.62546719 0.64037540
## [4057] 15.61844009 1.37183477 1.63486198 0.50768622 1.76890506 1.04977886
## [4063] 0.64541736 1.29901915 1.68646075 1.41740442 3.34204280 5.72458856
## [4069] 0.58776307 3.63715477 2.48268169 1.18504823 1.40242263 0.13859861
## [4075] 1.69056871 0.33832334 0.62507822 0.49431975 2.07655084 4.10391827
## [4081] 1.21886129 0.30644043 1.61980544 0.93321284 3.73691299 1.99351328
## [4087] 0.15556838 0.75185480 0.88608323 2.78764280 6.01934449 3.24433371
## [4093] 4.08955737 1.71939147 2.21470162 1.35670275 0.52142066 1.31363437
## [4099] 1.26543708 0.77268078 0.97117395 1.11800785 0.49663654 0.68314800
## [4105] 0.37548781 0.74436356 0.66277478 0.61025439 1.72227995 0.35536929
## [4111] 4.20683885 2.25403258 3.54661267 1.39570393 0.81005295 0.20703950
## [4117] 1.08122384 0.44634037 0.58537479 0.12842707 0.54554220 3.35729507
## [4123] 0.10762721 0.54765677 0.87508993 0.30551008 1.88352844 1.03617307
## [4129] 2.38161992 5.18792009 0.11317213 0.89549460 0.25374731 0.26660829
## [4135] 0.55660485 1.65737785 2.21390148 3.88825695 0.36054560 0.62904568
## [4141] 1.20848642 0.15355375 0.57721206 1.84218526 3.83313843 4.45717626
## [4147] 1.29265171 0.49803929 0.27431817 0.55467674 0.14504991 0.32399836
## [4153] 0.57475658 0.94410532 1.27120652 2.08733239 0.71216596 0.23087846
## [4159] 3.84857413 1.04836335 0.16528883 0.79695760 12.28947844 3.93455602
## [4165] 0.28435554 1.08482505 0.40065491 1.13389424 0.58297225 1.54434791
## [4171] 0.23185945 0.70174953 0.37146051 7.82108602 0.83009928 4.11338086
## [4177] 1.11436100 0.53834196 0.76523045 1.17349130 18.36677572 3.81035285
## [4183] 0.12416287 0.30702048 0.81096505 0.22058299 10.69306445 0.98656428
## [4189] 0.47697998 0.77514708 1.98492689 0.59099040 0.66414002 2.32600495
## [4195] 12.39468570 0.85788268 5.11187786 0.90168616 0.66187259 0.15032062
## [4201] 2.53633304 0.82946361 0.45628727 0.67712772 0.56298071 1.22331549
## [4207] 0.54394650 0.45909872 3.57638257 0.70004257 0.53224827 0.93427746
## [4213] 0.24594954 4.52792702 0.95165716 6.41597671 2.75028268 1.12658445
## [4219] 2.15613372 1.43720676 0.40237817 0.17041237 1.77157263 1.75082511
## [4225] 2.52098821 0.09564217 0.33324873 1.37138751 1.65212189 0.89642857
## [4231] 1.29214132 0.99677304 0.44034082 1.24478533 7.21845568 0.67538652
## [4237] 1.03645122 2.78563860 1.83618653 2.19785606 1.15741607 0.57510375
## [4243] 0.43101900 1.18662819 0.72799465 1.13881953 0.53561292 6.50682284
## [4249] 1.30517954 0.56105754 0.94954749 0.20571001 0.39385875 1.41882562
## [4255] 0.13972508 1.94124240 1.00581091 1.29157631 0.63757312 0.69677863
## [4261] 4.96212426 0.27616769 0.81872947 2.77895097 0.47590780 0.90875000
## [4267] 2.23881093 1.03051616 0.85429961 0.52633471 0.96108249 1.01791332
## [4273] 1.85953214 0.85340083 0.79877365 1.67928433 1.94618628 5.95097631
## [4279] 1.21020849 6.57572109 0.22203129 0.45039346 3.22543419 0.76415858
## [4285] 9.77315042 0.51161263 0.83808712 2.76450309 2.15628962 1.51532366
## [4291] 0.56938279 0.83230483 1.00735002 0.80923896 1.42655128 0.23497907
## [4297] 0.41648864 0.91112501 3.27650961 0.63992955 0.49884075 12.49088393
## [4303] 0.45335100 0.42429863 1.75613890 1.13945070 0.36421497 0.42413033
## [4309] 1.06942367 0.18008405 1.51748772 2.03523061 0.97597927 2.00397341
## [4315] 0.20962145 0.69181418 0.93577448 1.00019013 1.36466919 2.13958190
## [4321] 2.27563813 2.22655812 0.29991940 5.26224156 0.15164407 5.25050948
## [4327] 0.67480582 0.99339821 0.46762512 0.29103189 1.11479031 0.32791767
## [4333] 4.61800618 0.96152089 0.84544602 0.52258618 0.25018152 0.15794458
## [4339] 11.73095946 0.77791540 0.15188246 0.80153374 0.46277810 4.42579992
## [4345] 2.61239109 2.87346473 0.46249539 0.75083490 0.13541169 0.33358713
## [4351] 0.24211838 0.52998184 0.79882600 14.09672625 1.71407884 3.86881127
## [4357] 0.40142017 0.65389558 1.00181280 0.89840583 3.03818768 3.87563001
## [4363] 0.81666292 0.49450857 0.38066850 0.50018970 1.57961917 1.13887548
## [4369] 0.94657638 0.52830588 0.86212657 0.35605520 0.32717228 0.45998722
## [4375] 0.72841908 2.84708120 0.84154766 0.54112304 1.22263358 0.11681913
## [4381] 0.31129004 2.29871063 0.09054172 1.42410270 0.24223980 2.61996406
## [4387] 0.72537123 2.22520400 0.70018644 0.67432916 1.13992111 3.28259522
## [4393] 0.36555037 1.76088050 0.37409831 21.97673944 0.37474264 0.59189495
## [4399] 0.64680194 0.16897198 10.25717441 4.58120817 0.50520322 0.04584282
## [4405] 0.57366743 0.52442295 2.91131496 0.91709025 0.42208235 1.53708094
## [4411] 2.10337074 3.63384100 0.07403247 2.29739582 1.44466620 1.29273582
## [4417] 1.60462673 1.54125441 2.45604857 0.46567589 1.49106343 0.99721468
## [4423] 0.80659773 1.70051233 2.53042207 4.33048936 0.56175862 1.22666989
## [4429] 0.85360800 1.30006714 0.31085802 3.20145777 0.92243144 0.61231161
## [4435] 0.73702110 0.82360857 0.62192621 0.21872246 2.21871839 0.49154409
## [4441] 1.55284296 1.43003202 2.10319364 2.38878645 0.27049368 1.70760117
## [4447] 9.69286707 2.79442438 0.52546393 1.62563507 0.91880040 0.41920083
## [4453] 18.43899317 0.45460329 1.95592758 0.61206382 0.14655469 0.25253803
## [4459] 1.25683974 3.90219481 0.64585719 1.49099092 0.43084097 0.64279235
## [4465] 0.89755241 0.40473690 0.31027830 2.27058574 1.44602865 1.00424819
## [4471] 2.50020681 0.72745419 1.14227675 2.99129923 2.01913515 1.26006873
## [4477] 0.30158079 1.23125140 0.92943786 0.30422349 0.78478074 1.35161265
## [4483] 2.19937602 0.55278174 4.92289133 1.23379744 1.63258238 8.55308112
## [4489] 2.37219922 0.42215367 0.63049009 0.62647991 0.09343655 1.02987679
## [4495] 0.36520106 0.39811874 0.78355996 0.39094252 0.32674661 1.19449810
## [4501] 0.67870848 3.04493250 2.07466054 0.42844233 0.93889670 0.33067435
## [4507] 1.86222421 1.27491555 0.50156332 3.02909656 2.12563832 0.14143032
## [4513] 0.17292720 1.24957289 0.38601812 2.13710191 0.14088121 2.42143800
## [4519] 0.75087439 2.62715495 0.51511632 0.70408351 0.12658886 1.23900236
## [4525] 0.24687943 0.86347657 0.73027632 0.29636884 0.87811151 0.94368471
## [4531] 1.26094577 2.72507317 6.85412121 0.30864967 1.04231068 2.76347497
## [4537] 0.47409060 1.15387226 0.82048342 2.38089781 0.78390790 3.24659385
## [4543] 1.31358154 0.67261355 1.94650157 6.73174938 0.42748207 0.20125468
## [4549] 1.83476955 0.87688897 2.22950822 1.64177161 3.19687366 2.10859141
## [4555] 1.08099561 0.46113677 1.44115188 1.68665364 0.62744881 1.25072749
## [4561] 1.00884999 0.62792677 0.92661708 6.72447224 0.09320452 1.54480135
## [4567] 0.12214243 0.45329906 3.34975541 0.38375674 1.07972450 3.83715336
## [4573] 1.06291817 1.02475062 5.37632863 3.93062046 0.22991569 2.20992613
## [4579] 0.82224021 0.11411889 0.50452418 0.40321631 0.23522887 1.11089162
## [4585] 0.87079547 1.06129360 0.83494821 0.40691388 6.21546024 0.94419086
## [4591] 2.54932652 1.27506148 1.01519265 0.91951973 1.03032589 3.95187971
## [4597] 0.89634498 0.83047946 12.15373614 0.51117548 1.73005055 0.54141084
## [4603] 1.47976142 0.16586821 0.30709942 1.13807873 2.02498336 1.49372979
## [4609] 0.10044335 0.95483775 0.42782988 1.00329666 0.31647763 1.90200464
## [4615] 0.99545221 0.23850755 1.54105534 0.57972967 0.55879923 0.31088302
## [4621] 1.02888543 1.58060118 0.12440775 0.30353500 0.24388202 1.39943236
## [4627] 1.43520221 1.44539155 0.43456728 6.33198664 3.64817134 1.17426762
## [4633] 0.97865601 0.23371778 1.45295115 6.17705177 0.95710570 0.64138963
## [4639] 0.70823111 0.36860515 0.42768167 0.73348474 0.63953123 0.16159202
## [4645] 0.71920145 1.53144863 1.69853983 0.21335274 0.74881965 0.80849285
## [4651] 0.77468226 0.92011438 14.51532374 3.69093145 1.02236765 0.59917234
## [4657] 0.98909820 0.71176226 2.09136115 0.34811517 0.83616618 0.91792939
## [4663] 1.09365233 3.57787278 0.06609845 0.76005374 0.88078171 1.25850490
## [4669] 2.06566115 0.46834535 0.89450074 0.92006621 1.36280045 0.60616447
## [4675] 0.58344761 0.16717982 1.93258450 3.92491771 0.53995229 1.98791921
## [4681] 0.71230791 1.18737748 0.66618892 0.30015148 5.20742632 0.35852575
## [4687] 0.54815323 2.68701613 0.89144035 4.06349520 1.62381788 0.50821408
## [4693] 1.25196814 1.23079856 1.43805937 0.32661439 0.38202476 0.81349738
## [4699] 8.46017367 1.55533102 10.09162907 0.28919781 3.45364650 1.62870812
## [4705] 2.69971650 0.45959579 0.24856767 2.05495735 0.41404876 0.89058292
## [4711] 2.73663305 2.38194771 0.53961554 0.73647011 0.61605002 2.82476987
## [4717] 0.51034428 0.58224567 0.96245715 2.93036091 9.08327713 0.43405135
## [4723] 0.34178196 0.37892582 0.85455194 1.76520026 0.15214222 4.34574301
## [4729] 0.97884564 1.47840154 1.10563290 5.41276882 1.85021652 0.66377899
## [4735] 0.76754043 0.60443097 0.25328377 0.34021075 1.14216227 0.61745804
## [4741] 6.41205003 0.50014420 0.36677925 0.48189122 5.75843674 3.03671785
## [4747] 0.41467414 1.13619818 0.29038314 5.05613229 0.57017678 3.78406167
## [4753] 1.91637560 1.96702760 0.34069695 2.37908992 0.36836386 1.87608944
## [4759] 1.23889327 0.38901129 0.79321953 0.46445318 0.30150092 1.34965307
## [4765] 2.26568772 0.22823566 2.08844733 1.55685005 2.01098469 0.40611264
## [4771] 1.48782918 1.54662993 4.08929771 2.44569330 0.29314250 1.78145946
## [4777] 0.81974466 1.24976203 1.11362772 1.65926501 0.91925194 0.57900974
## [4783] 0.75366640 1.05159583 0.67261176 1.16290710 0.63627202 0.56192902
## [4789] 0.54436231 0.23388549 0.29984954 1.58962027 0.54598138 3.92916078
## [4795] 0.96146888 1.45332450 0.20235546 0.92529512 0.30387657 3.31595198
## [4801] 0.60190069 1.94282514 0.22832425 1.74455067 0.41478334 2.02808313
## [4807] 3.85170972 0.80302772 1.43648806 0.32447650 0.53996407 0.63099709
## [4813] 6.86305161 1.89019969 3.28147203 1.01206771 0.51381882 0.16985168
## [4819] 0.15410716 1.11154538 0.59874430 2.17925819 2.06406380 0.48693137
## [4825] 0.13396174 0.66284768 0.36985441 0.39080736 10.06745375 0.57991651
## [4831] 0.82809855 1.01613915 3.30066078 0.48812065 0.42677703 0.20308296
## [4837] 0.33987909 0.92939040 1.10533413 1.76436263 2.15195490 0.24948478
## [4843] 0.76035657 2.34823817 0.59398192 0.74574529 0.32652037 4.28345847
## [4849] 1.33928963 1.01927845 1.21232095 1.55502859 1.61313672 0.22724966
## [4855] 0.50645267 1.41094173 0.79076510 0.26239345 1.55233775 0.78847540
## [4861] 0.20741327 2.13403710 0.46267720 0.39051461 7.96985802 0.17796576
## [4867] 0.27903674 1.08298053 0.65262479 1.40198531 3.26564515 3.32295519
## [4873] 0.89486687 0.50083473 1.02595855 1.25881658 1.53198572 0.88980049
## [4879] 0.86695869 0.43353810 1.68719411 6.57713881 0.35451031 0.08337935
## [4885] 3.44521228 0.61278527 3.07846629 1.47687940 0.28025572 0.26799310
## [4891] 0.97603265 0.31960278 0.84818133 0.25132757 0.47818350 5.57458766
## [4897] 2.00878631 0.50101066 1.75092978 0.76607211 3.34541255 0.51079201
## [4903] 0.47601558 0.67195225 2.80654435 3.53600059 20.05333937 0.55184846
## [4909] 0.47326494 0.33265290 3.19564748 2.92083499 2.70528913 1.44242561
## [4915] 0.44167274 0.96614858 0.26164086 2.25445152 1.00190497 1.05405436
## [4921] 0.22072377 1.59587893 2.75505125 4.53628105 0.71251396 2.68215793
## [4927] 0.73098611 1.14761592 0.42115419 2.86840561 0.47661513 0.46938531
## [4933] 3.91569938 1.66460144 2.15735699 1.35581524 4.72493582 0.80846428
## [4939] 0.43500236 0.23400723 0.86926201 2.00640589 2.86213479 0.87051677
## [4945] 0.52760446 6.62711496 2.51836289 2.34559247 2.51964915 1.65692424
## [4951] 3.39110789 0.59755455 0.50971752 0.12335008 1.37973672 0.05923231
## [4957] 3.21988555 0.53938803 0.82353019 1.75167840 0.98631190 0.79810171
## [4963] 0.55725780 0.19548639 0.95987158 0.14218665 1.51670688 2.98299331
## [4969] 0.65439590 7.02855831 1.39844358 7.93089603 2.27259903 7.50957178
## [4975] 1.35990538 1.76468268 0.72664091 0.80154326 0.82714412 0.61242618
## [4981] 2.52466823 0.13616137 14.40100736 2.09830026 0.89022009 8.72684683
## [4987] 0.58564279 1.11784077 1.26066328 1.90003477 0.65288259 0.33891417
## [4993] 2.78001004 2.40837782 0.61425760 1.29985986 1.84198766 4.97490023
## [4999] 11.27398553 0.36792775 0.31507115 0.99680711 0.69955425 4.37570145
## [5005] 0.55534640 1.58607710 1.06760281 0.36376174 1.44526592 1.49265882
## [5011] 0.94739450 0.53281395 2.17662660 1.53222357 4.57353819 2.33964049
## [5017] 1.55835842 0.57118244 0.24271518 7.13779806 3.46682022 2.84415253
## [5023] 0.61534593 0.95842355 0.42078416 1.10982361 0.71238764 0.94664924
## [5029] 0.99912348 1.01022000 6.13108353 4.24176210 1.81856105 0.78339930
## [5035] 0.60239799 0.82561553 0.11006430 0.91563894 1.29047094 2.93942307
## [5041] 0.20772729 0.97830195 1.49706552 3.31206601 3.87900042 1.13583114
## [5047] 0.12210269 0.23738443 3.92488247 1.35730405 0.63346482 0.54324516
## [5053] 1.52711491 0.44880386 0.13203780 0.49415576 0.62313879 1.17562533
## [5059] 2.20339372 0.39341073 0.83619524 1.77146494 0.39697926 0.77261912
## [5065] 1.63807823 8.70038600 2.13262256 0.37275440 0.16766397 0.95523979
## [5071] 0.61025620 0.87705039 0.86742431 6.14672214 2.58112099 3.90259133
## [5077] 3.65463851 0.31588938 0.10120337 0.86697230 0.33055612 2.14377484
## [5083] 0.24390229 9.20187404 1.14466059 0.31178961 1.18010668 0.91715842
## [5089] 0.93582513 0.23704423 1.67277589 1.13327208 0.74977702 0.97671357
## [5095] 0.31730837 0.07714084 0.45894173 0.22792975 4.21435352 2.38289824
## [5101] 1.44800925 1.97865043 1.07407395 0.43234616 0.85363468 0.76899973
## [5107] 0.20626138 0.57725258 0.84910702 1.83390081 0.53763301 2.11261463
## [5113] 1.05712552 1.13404745 0.54712795 0.56132456 0.51143489 1.03408842
## [5119] 0.32995550 1.79379345 0.08846313 0.88851611 0.88789161 0.50115589
## [5125] 0.43620888 0.14401500 0.90455879 0.52005618 0.59892418 2.63686175
## [5131] 2.96047815 2.46359194 1.69606634 1.68059945 2.83200472 1.13509985
## [5137] 0.14017571 1.65568796 1.59063079 2.26826075 0.48545099 0.72016048
## [5143] 0.44898386 0.66361122 10.72187894 2.46278405 2.51784518 0.76691107
## [5149] 2.36755635 0.57350096 1.16064870 2.24649948 1.94882110 0.22523689
## [5155] 0.76383321 0.63014490 1.98886760 0.51523206 1.82464835 0.23701209
## [5161] 0.59561447 3.29157607 0.63924808 1.42473105 1.59714899 0.68951709
## [5167] 3.11636294 0.48345155 0.49704782 0.47484124 3.86897233 0.82540875
## [5173] 0.50737006 5.18968617 4.06585659 2.12684650 5.16540905 0.74481231
## [5179] 1.12159097 1.01170281 1.31889013 3.32286526 0.42063440 1.62439641
## [5185] 0.41976847 0.69835503 0.11717844 1.73670575 0.67481563 2.07090080
## [5191] 0.64871088 0.54087724 0.62578556 0.72682445 0.28954483 5.01979086
## [5197] 3.04871653 14.24817098 0.19290604 0.21239247 0.77396203 4.10758217
## [5203] 1.47249374 1.23381952 1.47671927 0.46066595 1.02405610 3.96260522
## [5209] 2.87815022 1.33528809 0.61095732 1.00926209 0.60678350 0.54524010
## [5215] 0.41890445 3.33385393 9.97550974 1.85465992 1.22929974 2.41908238
## [5221] 1.26919168 0.51308594 15.71184433 5.75358885 5.41525268 1.29131653
## [5227] 2.12841431 1.65008331 0.47107885 0.88434219 1.03602049 1.25602702
## [5233] 3.79626301 0.22801405 0.30896717 1.17938730 1.34837318 0.69607786
## [5239] 16.97912180 2.35967127 0.41988334 2.82765404 3.88722669 2.50106678
## [5245] 0.37830654 5.67970802 1.05889128 0.13990868 1.79276189 0.51631421
## [5251] 0.18020599 5.12155097 2.36971290 0.21660905 0.20714781 2.94933790
## [5257] 0.63227163 0.56415414 7.51689485 1.17992272 0.48320387 0.82478472
## [5263] 0.14769922 2.42322144 0.63605525 0.72004886 0.14507014 0.24906191
## [5269] 1.70990655 0.22460535 0.31884946 1.46196009 2.13439756 0.45996630
## [5275] 0.18910318 1.92405156 1.59755853 4.39941934 2.89934579 0.24359895
## [5281] 0.16945284 3.16421052 0.24407754 2.69540027 2.37619854 1.69022112
## [5287] 3.19779066 0.63844256 1.00305817 0.26825197 0.75913880 1.18834661
## [5293] 1.14037522 7.06833540 0.57245468 0.81572153 0.19982434 0.58746650
## [5299] 1.42835191 0.82847102 6.61479193 1.09399613 5.48695915 4.59495537
## [5305] 1.05276299 0.33945613 0.62783194 0.71859224 0.41738826 0.85593676
## [5311] 0.67943660 0.62115078 1.70613592 0.54140549 1.02051704 0.97695514
## [5317] 0.68074872 6.11468309 1.13809477 0.44510499 2.44497786 1.68786995
## [5323] 1.05328132 0.93693531 0.49109920 0.72129827 1.68693738 3.99774683
## [5329] 1.67762472 1.96606505 0.40582863 0.92029589 0.30666130 0.72796661
## [5335] 0.70830902 0.40347267 1.58211745 2.99002742 0.69877447 1.55610775
## [5341] 3.94102845 0.37680374 1.14778354 0.82397273 2.54186473 3.35122394
## [5347] 0.67506752 1.69385159 0.53584804 1.50845974 0.59455466 0.58901557
## [5353] 0.52931065 0.43299455 1.49846703 1.09690286 3.93385135 0.48928760
## [5359] 1.12920352 0.96484264 1.92443577 1.77270051 0.84743701 0.28695295
## [5365] 0.44473916 0.35321072 0.42715629 1.12634511 0.42392551 0.30607455
## [5371] 0.41633509 4.40483079 0.74617225 0.37112194 0.34418036 0.41312744
## [5377] 0.52481055 6.23905794 2.59732674 0.55400182 0.62774701 2.34024159
## [5383] 6.83014829 1.75549459 3.58630936 1.50523481 3.29243616 0.33091802
## [5389] 0.40963763 1.41151112 0.04433078 0.57344440 1.40593232 0.50907932
## [5395] 0.91860279 1.18804256 1.63623402 0.47907882 1.41870894 0.36077185
## [5401] 0.53846741 0.84734301 0.45582428 1.32157442 0.93635394 2.14753606
## [5407] 0.54580379 1.55020743 2.53162406 5.11542470 0.33788579 2.66797276
## [5413] 1.39148354 0.83912237 0.22895646 1.37580124 3.10155923 1.73586486
## [5419] 2.03562881 4.56711801 2.21168447 2.89609537 4.56463809 1.51277554
## [5425] 2.03354597 3.52765504 0.96629078 0.43072098 1.26872135 0.49868444
## [5431] 2.97729850 2.07813069 2.31495886 4.34431455 0.76037898 1.99570038
## [5437] 0.12100879 1.99116164 1.40876735 2.63644813 0.39540524 0.28969031
## [5443] 1.61343486 1.49934299 0.87882719 1.25075630 1.62185148 4.31085983
## [5449] 1.31715345 0.60413342 0.18011244 0.87385213 2.53556072 0.23881244
## [5455] 9.69200238 0.46535681 1.02652042 2.87238486 0.55704505 1.95332571
## [5461] 1.12451918 0.29218547 0.57687770 0.37964882 0.88086427 2.66050624
## [5467] 0.48399292 0.62779278 1.36431985 1.13836341 1.01441649 1.16582871
## [5473] 0.39851815 0.53147523 0.52828661 0.57735681 0.42219649 0.92485842
## [5479] 0.52185431 0.21460672 1.16411813 1.76939896 0.70710150 11.68944226
## [5485] 1.38129079 0.34299347 3.11893086 4.77721429 2.34580302 0.33546781
## [5491] 0.92033187 0.39859446 2.42176640 1.37950166 2.09941721 3.51877476
## [5497] 1.57932352 7.16040709 0.17957195 1.16988485 0.78021135 1.76959224
## [5503] 2.86452873 0.82083456 2.52997638 2.32471310 2.57705667 1.94224074
## [5509] 2.88709903 0.36290004 0.14310259 1.69530140 0.19119928 1.96456876
## [5515] 0.31537487 0.45907850 0.34428880 6.56556326 2.43968289 1.32356796
## [5521] 2.39334392 0.79706337 2.55645330 0.85654242 1.29214155 4.54753757
## [5527] 3.07500106 4.05619345 1.31957848 4.83116677 1.91769934 0.98643604
## [5533] 1.54758202 5.82928565 0.22515011 3.64571438 3.29979606 5.78320217
## [5539] 1.47085480 0.57509903 0.39525189 0.65462541 2.05134246 1.99337951
## [5545] 2.02771830 0.83563572 0.41445396 1.66637661 0.56288691 0.52825423
## [5551] 0.37752996 2.01585219 0.57385623 0.85327634 0.45954994 0.38028369
## [5557] 1.65941758 3.69654896 0.84487064 2.34467485 1.08260751 0.47952308
## [5563] 3.10003467 3.52443843 0.40231252 0.74847519 0.19384313 0.41174379
## [5569] 1.85489665 0.08040112 0.61044122 0.37932527 1.02544307 3.44055545
## [5575] 2.06146743 4.12505051 1.96222471 0.47704590 2.20628045 1.22511837
## [5581] 2.71370971 0.38517421 1.25067217 2.33722707 0.76566878 1.84585555
## [5587] 1.20022703 1.44815475 0.62228537 7.79365176 0.25751258 0.36442538
## [5593] 3.73646408 0.17487341 3.27298542 0.60739314 0.15431754 0.24891644
## [5599] 1.91672570 0.20307839 0.75390538 0.61661070 0.94927556 1.50808508
## [5605] 0.92119064 1.63455987 0.57335158 0.22000812 4.64082453 0.68924699
## [5611] 0.30558198 0.65895895 0.62372341 1.04064329 0.78846771 2.96538829
## [5617] 0.65668756 0.95223224 0.94108914 0.87558987 0.31234109 0.72502601
## [5623] 0.81316835 0.20265754 1.32929350 0.18202585 6.35215061 0.54330657
## [5629] 1.04045837 0.87610803 0.76909681 1.00649430 3.67549444 0.72208081
## [5635] 1.58063896 1.68003317 0.98039501 1.00535178 0.43203670 3.77238240
## [5641] 0.69048737 0.50412963 0.45834263 2.63008620 2.55117271 0.85190615
## [5647] 4.58041393 0.97217759 0.61825030 1.45112993 1.88288891 0.60370742
## [5653] 2.20313832 7.11883111 0.40735176 0.52015028 0.86212092 0.28470762
## [5659] 0.54339113 1.98281563 0.18922136 0.15677517 0.41744216 0.13169045
## [5665] 1.63843416 0.18524136 1.80777931 6.29148730 0.49377273 0.92826814
## [5671] 1.12968837 0.27835696 3.47905518 1.27097172 0.55003663 1.56478200
## [5677] 0.69732010 0.07895997 2.19249156 1.13447463 2.07937647 0.87768758
## [5683] 10.15696869 0.88952643 0.78462525 0.49901023 1.19335016 4.41367591
## [5689] 1.05370944 0.44007159 0.73628708 0.28476776 0.52336537 0.24433844
## [5695] 7.77807321 0.15065414 0.78081889 4.35052983 1.88777186 2.10513151
## [5701] 1.30708569 0.76420743 5.47784321 1.92317777 0.75342700 1.10466654
## [5707] 1.01316327 1.60575167 0.52124990 0.17786409 0.96540824 1.98339658
## [5713] 1.70295078 1.98616321 0.94754532 1.30873452 0.52400166 2.92478100
## [5719] 0.51215859 2.19693478 1.55783720 0.16322137 1.83774437 2.80495466
## [5725] 1.17665239 0.35063144 1.99531109 2.65763751 0.68791169 1.28767887
## [5731] 0.95801345 0.21149489 1.12363475 5.11319053 1.05118294 2.57223457
## [5737] 0.94739859 0.46219008 1.23343991 0.82966481 0.13530730 1.45472188
## [5743] 0.36865399 0.71472790 3.40914682 9.79692924 0.86113853 4.74367398
## [5749] 16.02302839 11.40994899 2.14435652 3.61580178 0.95605306 0.93986653
## [5755] 4.81282280 1.29049899 0.52711397 0.95290053 0.81785567 0.20674519
## [5761] 0.90072313 0.88659034 0.70394963 2.48306600 3.40057822 1.15957039
## [5767] 0.96795371 0.23473278 2.29538701 2.36168902 2.59817062 0.19812456
## [5773] 0.38221681 3.31676662 0.17807154 2.37459167 0.38235265 5.82118600
## [5779] 0.77329034 1.66509995 1.47982420 0.11386136 0.15251647 0.59767109
## [5785] 0.64647250 1.16556963 0.41360885 2.83445423 6.43562403 1.08547702
## [5791] 1.61987655 1.25387758 0.44510153 0.31899010 1.83218153 0.24309885
## [5797] 0.07814900 2.98492704 2.82904113 0.16644939 0.62420891 1.77205599
## [5803] 1.19876556 5.14812945 0.35161732 0.80026977 1.59462517 1.22943677
## [5809] 0.73236200 3.63499155 1.67843170 0.13342184 0.72273207 0.59965331
## [5815] 0.42523505 1.33011746 1.07392949 0.42489672 1.31952065 4.06261081
## [5821] 1.63719641 0.31798398 0.16963012 0.18344604 3.19558034 0.81695834
## [5827] 0.92875929 0.25733395 1.83115252 1.80137880 5.66071790 0.28817232
## [5833] 0.91612246 1.27510156 1.11191423 6.70460388 0.58640588 0.46435722
## [5839] 4.13810466 0.51942773 0.89034646 1.06532852 0.40520276 2.72416949
## [5845] 5.16429126 0.92354783 0.47654177 4.05969032 2.29668350 0.49772190
## [5851] 0.23522729 0.36085734 0.38833812 3.85384795 0.58367685 3.52204708
## [5857] 2.22092169 2.21858627 1.25861925 0.21109907 0.40195889 1.03759670
## [5863] 6.72838093 1.51725367 1.64633371 0.19138119 4.25898476 1.01769766
## [5869] 1.18204369 1.18765221 1.09038445 0.77334474 1.20888024 1.36062116
## [5875] 1.72883475 1.36497392 0.25754151 1.91952107 0.36382984 0.21419122
## [5881] 0.07972986 0.52284160 1.79035282 3.19593704 0.55976713 0.54551738
## [5887] 1.98393010 2.07620853 0.43278598 0.84727344 2.48614469 1.49188670
## [5893] 1.77758678 1.58491887 3.67671700 0.50674519 0.56920375 0.37917717
## [5899] 1.13817894 0.54950688 0.37965723 1.05428848 1.62505890 1.04547479
## [5905] 1.33605944 0.25010463 0.71009481 0.62746127 0.22834032 1.05705363
## [5911] 0.61178566 0.94084040 0.51745049 2.37517637 4.83037668 2.42077318
## [5917] 2.04135391 2.01137045 0.52068611 1.38767774 0.76424818 0.92192044
## [5923] 0.38618166 1.29110437 0.19723455 2.37119661 8.84513512 0.43179004
## [5929] 5.15264982 0.88857078 1.14396132 0.82188655 1.79883381 0.43110129
## [5935] 0.85018947 1.69898030 0.45143227 0.74390237 0.21737053 12.39235275
## [5941] 0.61306549 0.37729148 3.30430135 1.27738562 1.57710599 0.49233384
## [5947] 2.99487700 0.40227327 0.88801630 5.52362758 0.54357525 0.30785895
## [5953] 2.87088235 2.18393869 1.11499050 0.14624459 1.24594996 0.20214603
## [5959] 0.92378569 1.11517111 1.18867055 1.23160688 1.52248517 0.35123204
## [5965] 5.81224861 0.28291977 0.20151306 3.36665205 1.12118594 0.44284144
## [5971] 3.50877616 5.92159346 1.13211883 0.73313253 15.18408991 1.17850456
## [5977] 0.64905355 11.65549507 0.87690829 0.91364575 0.92978393 1.13302286
## [5983] 0.51580174 1.70398732 0.90625861 0.63781913 1.06097773 0.69117824
## [5989] 0.44663346 2.48943109 1.41131732 1.70729281 0.79870458 0.53635282
## [5995] 0.53666114 0.76071693 0.50264460 0.97618082 1.44725421 1.32914280
## [6001] 0.56904375 1.25941742 0.42783727 0.31066491 4.75052822 1.87142215
## [6007] 2.01414273 2.97094202 1.30332032 1.45021716 1.38321199 0.63924744
## [6013] 4.21902253 5.93895379 0.27652214 0.32277153 0.17699900 0.89157922
## [6019] 0.64948238 0.87559069 0.88402001 3.09114065 0.27781254 0.44201356
## [6025] 1.02011145 0.33600334 0.75116429 0.15718505 4.25334977 2.59319223
## [6031] 2.38123944 0.32502823 1.46481445 0.33582030 2.32661880 1.27088612
## [6037] 0.31461840 1.08728833 0.41220757 2.19986950 0.56804003 3.70270749
## [6043] 1.33735637 0.85318912 0.79734421 0.24360162 1.00516313 2.22445705
## [6049] 0.95678069 0.04164626 0.31042278 1.10726761 0.64766983 0.53403234
## [6055] 0.38958643 1.97555093 1.16857812 0.16918402 0.78733546 1.71853450
## [6061] 0.92548403 2.91475489 0.96466526 1.55679588 0.83652883 0.49634891
## [6067] 1.74460167 0.24943583 3.26413391 1.28981703 1.97722387 0.42679669
## [6073] 2.35941868 4.41047472 0.10682670 6.80884793 0.32078178 0.50588517
## [6079] 0.59267009 0.80303694 1.70649521 0.45068131 1.19569796 3.43322103
## [6085] 0.74287986 0.18686041 2.59536040 1.50368912 0.73877659 1.27204907
## [6091] 7.74843169 0.11173199 0.93340927 2.35630210 0.27900003 0.48186009
## [6097] 0.65264813 0.31259416 0.69720731 2.21530538 0.54099887 0.68314873
## [6103] 2.94453803 0.56668145 0.24472725 0.87912745 0.16008136 1.85830601
## [6109] 0.27631824 0.68044250 0.50749633 1.18693003 1.40399568 0.59871430
## [6115] 0.18888468 1.28223043 0.10038186 1.58497047 0.16821623 1.40311272
## [6121] 0.04716267 3.27701752 4.73273114 0.41594827 2.14595209 9.51007999
## [6127] 1.96623608 2.29793506 0.39148389 1.30992431 0.49476403 1.04337184
## [6133] 1.98847105 1.75457104 2.20887797 0.23170863 0.67827876 1.30039427
## [6139] 4.54494779 0.78747806 1.81363008 0.20888515 2.88170668 1.00260349
## [6145] 3.46131165 1.11529274 9.95718083 2.57630655 0.55247532 0.36154906
## [6151] 1.99901260 0.57924928 1.55112497 0.69939247 2.26565009 1.02068749
## [6157] 2.10414282 0.72738543 1.21603504 0.58601802 2.71831830 1.20841906
## [6163] 2.21049541 0.76933428 0.70890965 9.20092945 1.31986929 5.10122308
## [6169] 0.49318554 0.13567061 1.93784621 1.06054756 1.02850544 4.18626628
## [6175] 0.14166722 0.79279782 2.64726251 0.62087960 3.58476162 1.19868016
## [6181] 1.23001479 1.67330297 0.16923417 3.79083865 2.27270394 1.72931223
## [6187] 0.43793932 4.54666939 0.10610542 2.18047381 3.04398716 5.37864715
## [6193] 0.42099795 3.19786275 0.74818965 0.14827518 0.60684765 4.21860132
## [6199] 0.46605832 0.62056150 1.25651509 6.94491399 1.96827475 0.37020038
## [6205] 1.44988410 4.60719835 0.26395578 0.05500919 6.25522872 1.35914741
## [6211] 0.26307918 2.66368841 0.77427074 0.43235382 0.75934692 4.25760606
## [6217] 0.27497114 0.17970524 4.20903621 0.40049301 1.06504318 0.55765580
## [6223] 0.19352773 0.97802368 1.42948056 0.91985080 0.46973865 1.32191011
## [6229] 1.42470609 1.17981870 1.12643189 0.68670254 0.93495619 0.98193602
## [6235] 0.64232239 2.58933421 6.13787579 2.74824118 2.08431099 0.47789296
## [6241] 4.60778870 0.69096572 0.72638280 1.40538694 0.54050083 1.09791041
## [6247] 1.42785360 0.31300181 0.86433650 0.50753008 0.53642782 1.66797166
## [6253] 1.76644951 1.82463278 3.61134147 0.04401563 0.65060371 1.05080635
## [6259] 1.10893546 0.65714957 2.25253316 0.28125077 0.62351405 0.79705875
## [6265] 0.40854183 3.25359842 0.19993840 1.25301028 5.07683006 4.98086561
## [6271] 2.81475481 0.22751869 1.79182409 0.31012219 0.57175205 0.50160642
## [6277] 1.09329435 0.84499657 1.08016765 2.49674491 0.71960125 0.96922452
## [6283] 1.81285255 1.36954407 5.36383369 0.71435225 1.32741259 2.97771065
## [6289] 1.91049809 2.96364923 2.47315622 0.71425314 8.08614011 0.89917344
## [6295] 2.03618590 2.16089769 3.17736724 0.87897102 2.56365119 0.15715268
## [6301] 0.11759854 0.31081856 11.37502264 0.91775358 0.08928664 0.79065092
## [6307] 1.48178143 0.44585522 1.25822347 1.00379716 3.81648485 0.51228716
## [6313] 0.97962745 0.25432211 0.42584690 0.92877365 0.18051479 9.92614118
## [6319] 1.13129564 3.04455021 0.85796879 6.78889327 1.45570746 2.11375581
## [6325] 2.18954750 0.66513760 0.95335122 0.93138903 2.64838455 0.70714670
## [6331] 3.30833884 0.76934455 0.37366055 2.81687824 1.56253263 2.34269258
## [6337] 0.18447652 1.40200541 1.15983593 0.91484493 1.73994950 1.89554685
## [6343] 1.14055073 3.71313627 3.05302902 1.85059954 0.60703817 0.47681521
## [6349] 0.45388599 0.28618839 0.58360154 0.46044109 5.31675544 2.38136087
## [6355] 0.19767508 0.56092353 1.11162535 0.85384364 0.49013065 0.18284221
## [6361] 0.15892132 1.32099079 1.07972754 8.10794465 1.89179585 0.98791373
## [6367] 0.29946269 0.57642060 1.86673435 14.08331935 0.75921707 1.09021024
## [6373] 1.47096644 0.43840078 0.15097880 1.15178832 1.65653219 1.27231748
## [6379] 1.08001510 1.40324964 1.14381442 0.39504757 1.58655529 1.45344781
## [6385] 4.38800895 1.66345816 0.59528084 1.19524213 0.23879819 1.27868178
## [6391] 0.46122179 2.50030336 0.69390904 1.29118740 6.40907162 0.72596687
## [6397] 1.18952802 0.48441809 0.48295193 4.58190884 0.50965297 0.93543496
## [6403] 0.70603885 1.47979361 0.49092998 1.12988319 1.00641706 0.30084920
## [6409] 2.97866857 0.67127874 1.43229112 0.73306764 0.38939792 1.29149206
## [6415] 0.81778981 1.42173597 1.11156176 1.16494687 0.64082702 0.83742021
## [6421] 0.80860488 2.05440916 0.90417470 0.47784754 0.86236017 0.62119672
## [6427] 1.45964907 0.56333096 0.58905309 2.10753195 0.19755170 0.41953126
## [6433] 3.26318831 1.11673895 0.46388691 1.88451734 1.94767452 0.82324449
## [6439] 2.83932467 1.03405272 1.09143534 3.02000510 0.30888460 2.85526621
## [6445] 0.70010028 0.73784929 2.25408232 0.90165131 2.17125159 4.00898761
## [6451] 0.78399506 0.69570316 0.40575525 1.44995754 1.88519326 2.62066916
## [6457] 0.51423950 2.73174340 1.75085208 1.10641173 0.54525086 0.21297044
## [6463] 2.80035229 3.70675087 0.13800218 0.42135700 0.79307482 2.78364411
## [6469] 1.89295268 3.64369649 1.29121137 1.03397110 0.16022958 0.39848543
## [6475] 3.81332326 1.67353314 0.35360881 1.49126757 1.10888888 1.18728783
## [6481] 1.41790817 0.43071314 1.70845847 0.10463133 0.92024689 0.89442493
## [6487] 1.55003164 0.95167157 0.18016128 1.24751999 0.82643632 2.98932442
## [6493] 1.02024063 2.05361825 0.85418804 1.27226551 0.96110273 0.45120521
## [6499] 0.51840404 2.09860670 0.69117408 0.82563483 0.72128841 1.02138825
## [6505] 2.62183816 0.27059694 0.22126591 4.04335481 0.16704483 0.68634324
## [6511] 0.93004401 2.50111157 0.77250739 1.79023079 2.52942421 1.52299560
## [6517] 0.43084405 0.83583532 0.47376820 1.30612078 0.66258004 1.47656132
## [6523] 2.09499108 11.78401955 1.26955671 0.54869314 0.70396467 0.79349385
## [6529] 0.90281333 1.01404965 0.91169025 0.61165214 0.91680735 2.04810449
## [6535] 0.24128951 0.30213463 12.66402421 0.61537612 1.21567612 0.95624116
## [6541] 2.01551863 0.16003042 0.36111242 0.75921316 0.88739982 0.97745507
## [6547] 3.78094315 0.60707422 0.49168358 0.26173448 0.44881323 0.16232327
## [6553] 0.42631499 1.30473801 0.43172306 2.33280369 2.42320846 0.92396369
## [6559] 3.50271699 1.07607619 0.18046561 0.33746668 0.48945299 1.98693015
## [6565] 0.84868260 0.55865121 3.12698810 3.43637115 0.50814274 0.83495289
## [6571] 0.48143903 1.95260125 0.28430266 8.51810072 3.17727868 0.08488759
## [6577] 2.43287050 0.24782499 0.43827848 1.44668889 1.69036460 1.22959440
## [6583] 0.92139826 1.11187840 0.77262211 0.58971339 0.23991961 0.76153238
## [6589] 1.90027376 0.38062920 0.36166729 1.06106219 0.47063739 0.60124140
## [6595] 0.30548176 0.77044009 0.29107377 4.45619301 0.58837949 2.10940728
## [6601] 0.55227272 0.64501461 2.51609476 0.36610011 1.44499190 2.22311964
## [6607] 0.16523711 0.67104468 0.72248817 0.92969786 1.17124768 1.73657041
## [6613] 1.43263946 0.27151084 1.19879614 0.42015074 0.37666875 0.88716996
## [6619] 0.42607839 2.48581351 0.46170601 0.68498410 2.26176776 1.50218621
## [6625] 0.51131959 0.05403664 1.93581559 1.03090589 1.25450907 2.31561471
## [6631] 5.19160468 0.84086279 7.67847483 2.73180742 0.45226255 2.73632050
## [6637] 1.02214546 1.36031779 1.04198586 1.48619846 6.42353350 0.63135359
## [6643] 2.04475653 1.18127721 0.71042798 0.04767533 7.12791971 1.09707741
## [6649] 10.02239833 0.63249012 0.41991760 1.14940305 2.53499555 2.20003753
## [6655] 0.24915116 1.02840047 0.11559026 10.38239917 2.98173536 2.16043569
## [6661] 2.44836219 0.99122068 2.60652288 0.98138306 0.63056735 9.14782203
## [6667] 1.72810158 1.59855652 3.52859939 1.09749972 1.10970851 2.08950935
## [6673] 0.72144185 1.78651232 2.63571601 0.29130085 6.74800474 3.00364395
## [6679] 0.49351871 1.76488421 4.15936890 1.27864832 0.56097905 0.42523206
## [6685] 0.45979284 3.37864441 1.21540423 0.13556552 10.80080557 0.91195031
## [6691] 0.76768194 0.66566321 1.20537141 1.44474426 0.53143651 0.45297417
## [6697] 0.92067727 5.12475594 0.48550507 1.59933992 0.32436136 6.15981758
## [6703] 3.50508165 0.47289624 2.21914661 0.65363053 0.77326093 0.43982123
## [6709] 0.37375705 0.76496940 3.93916814 0.80092200 0.31980086 0.38433135
## [6715] 1.42315006 0.50561194 2.85436475 0.53193192 0.74782964 0.64368384
## [6721] 2.39077831 0.59403675 1.17004142 0.90594974 0.21207348 1.16281945
## [6727] 0.16775233 4.02808237 0.82175966 0.74547261 0.92089011 0.35826553
## [6733] 1.50837415 1.10517163 0.29584982 1.28141024 0.60909039 0.10738598
## [6739] 1.88062232 1.16708445 0.17057246 3.45713003 4.97406596 0.96454605
## [6745] 2.20246430 5.91272744 2.02108547 0.33429192 1.24464338 0.59125878
## [6751] 0.49550829 1.01284170 0.38361185 0.63986034 1.24320246 2.73898904
## [6757] 0.69242833 1.08488260 0.46047749 1.04272069 0.99575887 1.09834116
## [6763] 0.84742823 0.69309241 0.61693053 0.80392731 2.58138950 0.35365471
## [6769] 3.49045918 0.10109919 1.84117840 4.36971286 0.36915552 0.50168515
## [6775] 0.53963939 0.38324348 0.97077250 0.77129019 0.72388128 3.35293013
## [6781] 1.60225613 2.49124698 1.03662621 1.63964212 1.27999953 0.25241854
## [6787] 2.07374603 0.33090153 3.66118684 1.20389779 2.16707014 0.50034489
## [6793] 1.24868063 1.18449235 1.29198522 0.23131230 0.66724964 0.42564660
## [6799] 0.19540860 0.60349923 2.14049331 0.90498850 0.27647987 0.23185389
## [6805] 1.34825312 1.38795302 4.02898583 0.10668776 0.76043167 0.61923163
## [6811] 6.37142599 0.49465732 7.48866662 11.70472118 2.91239280 1.91666661
## [6817] 2.32941959 4.32886216 1.27197146 3.29510270 0.51062817 4.12248734
## [6823] 4.36190752 0.39920957 2.31568695 0.77002727 0.18116020 1.54349952
## [6829] 4.69599477 2.20969094 2.01037349 1.73799113 1.09234676 1.81012355
## [6835] 0.55568682 3.07697022 3.43981229 2.02530788 0.13313802 2.12966337
## [6841] 0.14914151 2.97674868 0.68255699 0.93346264 3.43392089 0.55993995
## [6847] 2.75570883 4.85284768 0.31016984 0.86506699 0.48649553 2.19673857
## [6853] 1.74034119 3.99251782 0.64672782 2.08831655 1.02533324 0.47757342
## [6859] 3.40845629 2.23965062 3.52963721 2.39359528 0.22297671 0.63135133
## [6865] 0.79279584 1.38382990 2.64252900 1.65496586 1.59451349 4.07914179
## [6871] 0.53878459 4.11318977 1.09671403 1.39246125 5.30706196 1.51859621
## [6877] 3.43563030 0.37522526 1.40875043 8.28653979 0.73254881 2.21160300
## [6883] 0.30916162 0.88772235 1.12703407 0.26241747 0.93485824 0.58067310
## [6889] 4.68432623 0.52246881 3.20786899 7.38647683 1.15533845 2.21449670
## [6895] 11.11319819 1.06640401 1.85559397 0.58136700 0.41740978 1.05691897
## [6901] 0.69323139 0.34931205 0.15596103 3.78493415 5.72428063 1.92840790
## [6907] 1.14119170 3.65161729 0.17133947 0.39216476 3.53670567 0.51105166
## [6913] 0.91364814 0.83930084 0.96286402 1.13464887 1.18864313 1.11924400
## [6919] 10.26323122 2.65393302 1.23360250 0.91293229 0.95838044 1.40942045
## [6925] 1.49858960 0.36764338 4.39600072 0.78036699 0.25099699 2.23429180
## [6931] 3.17899285 0.46159845 1.55281727 2.21891858 0.57500918 1.96547675
## [6937] 1.68063779 0.16688247 0.37521668 0.60570892 0.07896486 0.96972315
## [6943] 0.81333456 0.68678899 3.16231595 1.87227294 2.09430696 0.15667323
## [6949] 0.08935206 4.91109264 1.01351485 0.45563476 1.37575432 0.47412414
## [6955] 2.76525380 0.12241227 0.59212171 0.77421242 2.30420059 0.37744850
## [6961] 0.16589112 0.84881084 2.44519967 0.20884062 0.23468760 0.85011110
## [6967] 2.33237815 1.28664333 0.33511705 1.26068517 0.41456439 0.73992020
## [6973] 3.29788129 0.37635988 0.29665450 6.78146492 1.48949372 1.76544599
## [6979] 0.12848489 0.82010083 0.21352943 0.21699951 1.14763829 0.19822654
## [6985] 0.94679371 0.73754551 0.44477526 0.78853258 1.69257513 0.67154068
## [6991] 0.47329995 0.73182317 0.35787046 0.83297938 0.78270655 3.20101804
## [6997] 1.42772967 1.18936647 0.75812392 2.27667812 0.27647846 0.59301697
## [7003] 0.14389417 0.28289333 3.23255564 0.32376787 1.95544637 0.26547414
## [7009] 0.33547005 0.03719040 1.55370013 0.41154408 1.55888567 2.51353235
## [7015] 10.44599964 3.92564265 1.06653007 6.42831121 0.28326606 0.94100293
## [7021] 0.36548382 0.60743308 1.21690124 3.45701381 11.05485266 0.32443581
## [7027] 0.66734270 0.83408710 2.68942133 0.07929857 0.19080084 1.09437192
## [7033] 0.50940492 0.32161670 3.07598504 0.51552700 1.00573984 0.29864968
## [7039] 1.23824529 1.34364317 2.36766137 1.23707523 0.60469906 1.73356482
## [7045] 0.73779487 0.82334834 0.32518615 0.60578167 1.05933938 0.64580558
## [7051] 0.59688750 2.75361259 0.43256617 0.50828808 13.38681613 0.45230466
## [7057] 0.75220271 2.25633246 1.13277518 3.99226524 0.41908682 9.78439343
## [7063] 0.60472935 1.83171739 1.16842257 2.26321608 2.03101584 0.59043475
## [7069] 3.29353230 1.22480824 2.00792117 0.66270514 1.55031773 10.41920747
## [7075] 1.83956192 0.83605947 2.11435661 0.39848716 1.78986276 0.88228797
## [7081] 4.05716117 1.65783648 0.21185654 6.48139914 0.31630869 1.56980158
## [7087] 0.46719100 0.26519329 5.01258748 4.98924070 0.44747370 5.90863807
## [7093] 0.67413008 0.61572397 0.09633042 5.96889326 0.26844241 0.90380613
## [7099] 0.81197964 0.36771264 0.74258228 0.59913746 2.50564472 0.86112171
## [7105] 1.24397456 0.16841670 1.28784837 0.75187706 0.07054096 0.80679699
## [7111] 4.31115006 1.93988610 0.77342619 3.27019660 1.20897356 1.14798157
## [7117] 0.83575520 0.42494563 0.89954969 2.18187183 1.24151540 3.10437177
## [7123] 0.30741515 1.20490562 2.72117857 6.92575535 1.44500288 1.78800573
## [7129] 0.08645995 0.10259655 0.32721470 1.17952230 0.51874626 5.81817949
## [7135] 0.44447522 7.20078689 2.07872777 0.73158684 0.10792342 0.64644024
## [7141] 1.34052363 5.54625965 0.98965028 0.35538929 9.84972922 1.10573400
## [7147] 0.44450495 1.25854028 1.04722120 3.09477714 1.08270052 1.66916803
## [7153] 2.76555234 0.33803853 0.97523313 0.46604868 3.72083144 0.83149419
## [7159] 2.45764261 0.17423687 1.11457943 0.04130479 0.85310413 1.44286211
## [7165] 2.49846632 0.60497294 0.34022874 1.36486053 0.37767682 0.29655006
## [7171] 1.77837383 0.44246835 0.36988200 0.27036632 1.57552122 3.03058297
## [7177] 0.97739497 2.56973649 0.89928831 0.97068796 0.72573711 1.16132320
## [7183] 1.51769835 0.68003775 5.47244596 0.21666070 0.87506656 1.05328123
## [7189] 0.16842539 2.25341952 0.85114947 0.21186326 0.33071847 1.20045162
## [7195] 1.03066309 0.13678084 1.76458910 6.56944691 3.92190065 1.64334421
## [7201] 0.48699223 2.74391648 0.60553483 1.10498866 3.40132531 2.08550460
## [7207] 1.35651201 1.39964995 0.80615032 1.67994432 1.27875128 1.33962445
## [7213] 2.41223319 0.61716861 0.08822601 1.22249321 1.87125571 0.66876031
## [7219] 5.96975807 0.84883453 1.22327699 0.39696486 1.22092546 1.07985064
## [7225] 0.65342030 4.38285529 1.38844035 0.44071765 0.48194716 1.65232035
## [7231] 1.11655214 4.38115183 1.11781812 0.95741473 3.05381458 4.59173977
## [7237] 0.28819714 0.80172385 0.26849805 1.09301825 1.07808863 0.63523287
## [7243] 0.24699238 0.41437760 1.69021016 5.13770265 2.42939988 1.23518121
## [7249] 3.84327672 0.34839505 0.75107700 3.03201939 2.06903308 0.54020209
## [7255] 5.94679833 1.25892440 1.72809209 4.40359757 2.21725768 2.03464257
## [7261] 0.15664451 2.73685201 0.90025473 1.05950793 0.70680292 3.07658593
## [7267] 0.42538185 1.01747596 0.32373367 3.52956222 0.88999095 1.79007715
## [7273] 0.21346877 0.18603279 0.31630137 0.81292934 1.34080285 0.31502671
## [7279] 0.35446233 0.78992234 0.63184236 0.91989164 1.05131696 1.44932602
## [7285] 0.41662914 5.37969003 0.85238290 0.65807284 1.52218841 2.26448438
## [7291] 2.11695622 0.55361223 1.01675014 2.38986930 0.62448836 0.37232876
## [7297] 2.56288186 0.56954888 0.87292230 0.43375624 3.23500886 0.38603147
## [7303] 0.68365532 1.23567609 0.87252442 0.65269875 4.09804221 1.38691392
## [7309] 0.30030558 0.74513137 1.34334072 5.77234742 3.27648158 0.58244872
## [7315] 3.40203720 0.19796918 2.88900552 0.40798624 0.35981433 0.93265117
## [7321] 0.31253495 0.34937232 0.97027735 0.15887899 0.27148753 0.53969614
## [7327] 0.98673766 1.06363664 1.25914288 2.36051357 0.49713942 1.08506936
## [7333] 0.97824808 0.48102357 5.28577316 0.90495231 0.25708663 0.59829282
## [7339] 5.17347410 1.07947300 3.36943994 0.30552691 0.09955967 0.43632683
## [7345] 2.69610997 6.09411365 1.21333084 1.88608827 0.38252922 1.07553113
## [7351] 1.88829612 1.79133141 0.60018241 1.21029021 1.89206705 0.38127797
## [7357] 0.74326769 1.78887963 0.45719638 1.23097574 2.07011335 0.72979654
## [7363] 0.66493830 4.80700059 1.11478004 2.50731545 0.53722083 0.33440731
## [7369] 0.46783607 1.62562722 0.68590440 0.98910917 1.10842361 0.18337226
## [7375] 0.25688238 0.21663391 0.51472357 2.80002439 4.80769989 0.87712481
## [7381] 5.01896591 0.67877103 1.76758501 0.43000528 0.58368952 0.31637240
## [7387] 0.62105060 0.24545136 0.89436019 1.58736022 0.13844764 1.00292412
## [7393] 2.16627165 0.22185698 0.75009468 0.96014078 1.77822621 0.97507644
## [7399] 3.32875435 1.24086028 1.56041582 1.15597116 3.11363743 0.98139727
## [7405] 0.38496917 1.55425006 0.80910958 2.06806472 0.62228898 0.45461971
## [7411] 0.60945913 3.11999054 1.61595861 0.73788605 1.77566742 2.29432713
## [7417] 4.99422498 1.46440289 0.99967665 0.35296248 0.88198895 0.59500289
## [7423] 0.70500142 1.46486217 5.94546436 1.67082417 0.41469995 0.22552992
## [7429] 1.78237921 0.49090412 2.48548756 1.16968769 1.15890870 1.95258385
## [7435] 4.50899383 0.96616875 0.24951183 0.80642934 0.52025103 1.97133251
## [7441] 0.58610807 0.44245047 0.36598622 1.34939372 0.21185115 3.13800960
## [7447] 2.25680261 1.18468358 1.07900593 0.12961698 0.55231957 1.82853944
## [7453] 0.54253825 0.79081074 0.40963183 0.36377391 0.32733668 0.74743919
## [7459] 1.18276378 0.17808758 3.66946948 0.96631008 4.43350287 2.07122483
## [7465] 6.33183225 0.37789051 0.66608997 2.99064674 3.23597477 0.48952740
## [7471] 0.39185096 0.73624754 0.83958766 2.01123663 0.38872470 1.22056845
## [7477] 2.72375554 2.63348239 0.59590178 1.67607914 1.08643089 0.99127570
## [7483] 1.00279407 2.10458494 0.43629092 6.65254981 0.34644568 0.27295793
## [7489] 1.06437912 1.37586624 0.97863454 0.72409522 1.91131043 0.84037840
## [7495] 1.20111672 0.63212050 0.98417833 1.71296937 0.11041150 0.51607948
## [7501] 0.71244098 0.22073863 8.89231385 0.24012926 1.33759278 2.55202593
## [7507] 0.26473305 1.17465724 0.22143734 0.72396469 0.73751984 5.81762053
## [7513] 0.25352834 0.41280440 2.72047843 1.15367587 3.47419145 0.95990306
## [7519] 0.62932134 1.47054560 2.01530928 1.44100585 1.91842955 0.78127016
## [7525] 0.24874155 1.05822979 0.37838938 0.66126625 3.22855236 9.44410825
## [7531] 1.47451498 1.79574638 0.22181141 0.30534192 0.82868977 4.28075945
## [7537] 1.57605480 2.70430175 1.66424663 0.16327160 2.53109261 1.15864417
## [7543] 6.31640925 0.60000665 1.08334563 1.29920120 0.87491037 1.11713388
## [7549] 3.61769712 0.96954354 0.13715022 1.11934784 0.22524814 0.69560202
## [7555] 1.10734322 0.46044650 0.52565348 0.27945702 1.96750471 1.07909338
## [7561] 0.09419708 1.02232185 0.09610300 0.80494551 1.42875866 1.82712132
## [7567] 3.17022791 0.34830523 0.42158993 0.20262141 3.87701316 0.16598055
## [7573] 3.25423140 1.76712647 2.83507800 2.74610854 3.42793270 0.46490064
## [7579] 0.48220114 0.55287202 3.00755008 3.09175872 0.78921349 0.53024725
## [7585] 1.37241195 0.57327358 0.08210941 0.63011450 0.64783763 0.88763787
## [7591] 0.65083865 0.41445423 3.16198181 1.02576287 16.61321927 1.50242612
## [7597] 0.22072972 1.03078556 0.87382991 2.99727934 0.39929827 0.16956364
## [7603] 0.96641246 1.30028387 1.97580325 0.50724049 4.41071146 10.14224055
## [7609] 0.31618223 1.27123416 2.00190728 0.57978062 1.21204332 1.36295929
## [7615] 2.18771096 1.67215972 0.64162730 1.34602786 1.15338871 0.53308720
## [7621] 2.09775040 0.44780010 0.70484182 0.69342732 0.47263504 1.64916922
## [7627] 0.44081507 1.26931976 0.44112734 0.76778544 1.27374721 0.54560998
## [7633] 2.98281761 0.49210097 0.26601815 1.78751667 0.33498809 0.67147081
## [7639] 19.64074565 5.35567858 4.06522842 0.57360184 1.02581958 1.47358780
## [7645] 0.33616518 1.00373721 1.60037953 1.42307417 1.53269162 0.33418663
## [7651] 0.77193839 1.32357988 2.09316233 0.27500723 0.28889208 3.05115411
## [7657] 2.18791841 1.94881474 1.16980143 2.46824884 0.83749697 0.79844536
## [7663] 0.98157362 2.26670355 3.56079084 0.36581234 0.73089878 1.02144084
## [7669] 0.65044840 0.86549045 1.74787696 0.02472969 2.82709013 0.23790965
## [7675] 0.28937197 0.83905531 6.72694980 0.37646935 0.66987774 1.89545046
## [7681] 0.98756871 0.97620201 0.98477496 0.27014345 0.59248316 13.77391495
## [7687] 0.27692560 0.38361940 1.61253189 0.89194343 2.07757970 0.94192507
## [7693] 1.16348344 3.80756809 0.44913734 0.99959297 0.61375475 2.18013758
## [7699] 0.27591983 1.38485443 0.31119335 1.42208581 1.53963270 0.22642383
## [7705] 0.33961693 0.65872495 0.83950943 0.91720437 0.58607661 0.58513908
## [7711] 2.18404153 0.80441235 0.79415444 0.15952779 0.52396749 0.29491697
## [7717] 1.67686062 0.44465812 0.66788229 1.05731129 0.71338069 0.23682260
## [7723] 0.11024375 2.63623879 0.63659720 1.25721621 0.36098736 0.91216998
## [7729] 2.74547550 1.22832042 18.57280578 0.24708092 0.51890389 0.77006008
## [7735] 0.85777016 1.81575835 2.52355397 0.26090784 2.73977287 0.49780344
## [7741] 0.16801995 1.73033708 0.16582827 0.63980421 0.17534321 0.84840785
## [7747] 3.88225956 0.32303026 4.63545156 1.37196195 1.88727806 1.65129715
## [7753] 2.62485179 0.72039259 0.26998804 1.52248591 2.05648226 0.85653077
## [7759] 12.00431992 2.38742467 0.26393865 0.68053597 1.43769814 3.74026035
## [7765] 2.21359272 0.23984474 1.21144531 1.47261663 0.77308431 2.37748415
## [7771] 2.86530307 0.22729093 1.23759966 0.75111788 0.46049478 3.56880527
## [7777] 0.21622765 0.93192477 2.75772271 0.61487853 1.50123482 1.89703060
## [7783] 0.25859787 0.66170621 0.09078101 1.05264132 2.30422625 0.70343719
## [7789] 1.45907784 0.31894392 0.55372794 1.34117447 0.95232678 1.36718190
## [7795] 4.05405633 0.45821345 3.25205259 0.73593480 0.26529855 0.12301100
## [7801] 1.08672624 1.37339403 3.26952582 0.91191327 0.69618568 0.52804308
## [7807] 1.03208530 1.38378372 2.91009347 1.31151679 0.49279479 1.52599318
## [7813] 0.71216979 3.69811545 1.09501045 0.14731357 2.21894280 4.89184581
## [7819] 6.50503054 0.61918694 2.50105969 0.33794420 1.24333903 0.99630955
## [7825] 0.54661556 1.67499864 0.31436955 0.19511357 0.12848100 2.32367499
## [7831] 0.25196389 1.29533460 0.60727111 2.86223198 2.00685273 0.26888764
## [7837] 1.53427502 4.41895493 0.55256547 0.83568218 0.14726013 0.55370811
## [7843] 0.44605207 0.21803424 1.03651484 3.53060939 0.20422211 0.51811547
## [7849] 0.20942527 1.00082541 2.40057333 1.20469959 3.81426288 1.39822666
## [7855] 0.81357554 3.83490083 5.75753440 0.72902494 1.06243534 0.32794813
## [7861] 0.44400954 0.55516608 1.20805382 2.42034766 2.25412025 4.18850510
## [7867] 1.38158258 1.85616256 1.14992166 0.56204343 0.41887498 0.63801610
## [7873] 0.33661058 0.22236332 0.20138738 0.17368518 2.77522463 0.56599544
## [7879] 7.87989254 1.24125049 0.41026918 2.21536062 0.79384379 1.60518208
## [7885] 0.55849261 0.60097986 1.62613680 2.57329866 2.62361366 0.73986113
## [7891] 0.18430860 0.56039796 1.14016935 1.69017674 2.82780056 4.31318926
## [7897] 1.26340772 0.27099334 0.63703992 1.39664264 0.71897785 9.04688224
## [7903] 3.21621482 2.33579335 0.64639867 0.86897303 2.55659151 2.39528482
## [7909] 0.27287171 11.63783914 2.86445300 0.35242885 0.41629588 1.70329631
## [7915] 10.59831063 2.73935345 3.48400383 1.57680772 1.13992770 1.84123768
## [7921] 0.53987484 5.85607855 0.95463970 1.28937770 2.99023605 1.05438057
## [7927] 0.91042336 0.42428817 0.24438342 0.97831269 2.52431868 1.74268300
## [7933] 8.46623952 0.31177362 1.60409939 3.26975988 0.80821265 0.52329278
## [7939] 0.31905171 1.25002690 2.20465030 0.41732002 0.71586550 0.15339700
## [7945] 4.07199284 0.51593024 1.74370522 2.29551701 1.92659932 7.80239202
## [7951] 4.21589354 0.26320587 1.57109111 19.39049110 0.09061962 1.01269172
## [7957] 0.31036687 1.58754974 2.56857519 0.28999545 3.54905977 0.81807444
## [7963] 1.30945716 2.96130680 0.63849180 0.16069678 2.49169482 1.14950781
## [7969] 0.74722895 0.59077987 0.28302855 2.11368576 0.49809237 0.93637933
## [7975] 3.85507064 2.59816601 0.63628355 1.11501698 0.19755672 0.88415906
## [7981] 0.91624353 1.52003983 0.94349331 0.18900820 0.52852483 1.24947199
## [7987] 1.97448151 0.59786017 1.10095290 0.77059116 0.62628905 3.08794748
## [7993] 1.49575704 1.72864856 2.38704693 0.14780810 0.37035418 0.30619946
## [7999] 0.44170857 1.13065383 2.74933776 2.72637668 2.31817244 0.99267089
## [8005] 1.70650970 0.81584677 2.07505831 1.36548203 1.40674519 2.56382626
## [8011] 2.40813091 4.79162185 0.18140193 0.68417831 2.75866641 9.21341027
## [8017] 0.81466883 0.31095160 1.70760126 2.35854549 0.36926155 0.87230899
## [8023] 3.39334336 0.58623194 1.66952719 0.31876867 12.79678349 2.58668777
## [8029] 1.22023002 3.24216445 1.97085267 1.66199379 0.04606046 3.25737237
## [8035] 1.33764795 0.51173537 0.63539311 4.53231887 0.35423403 0.53516128
## [8041] 0.29866747 1.23229777 3.99344560 0.75659912 2.79907331 0.54001742
## [8047] 7.23002014 1.06922189 0.97098000 0.62117430 2.60387461 1.46020421
## [8053] 2.04395505 1.94212855 1.60047269 3.85704730 6.04573776 1.68292749
## [8059] 0.38701616 0.65417501 2.57501282 3.61090984 5.05635771 0.52568510
## [8065] 0.84583888 2.04032495 1.42364782 3.58605485 2.05280338 0.69059363
## [8071] 1.02194806 0.71468744 1.50181520 0.58629463 1.00084322 1.03623772
## [8077] 0.46514788 0.55030660 0.94911869 0.88498837 1.20291307 1.13603830
## [8083] 1.80759347 0.81023183 1.48680373 1.48248725 0.42774735 0.78507178
## [8089] 0.29814282 1.46487327 1.48863323 0.91394286 0.33402130 0.87478779
## [8095] 0.89527945 0.22213434 1.13356231 4.99993094 1.15335573 0.45150928
## [8101] 0.86671686 3.13425304 0.50568510 2.72334730 1.99027704 1.22500378
## [8107] 5.07059461 0.26589915 1.41015555 1.05975114 0.11384064 1.30859308
## [8113] 1.21535222 1.08676183 2.29793298 0.51875388 1.98793408 3.26147471
## [8119] 0.72778438 1.14811955 1.23210883 0.16797643 5.54646917 0.65852625
## [8125] 0.47089424 1.07907930 0.46936981 0.67262620 3.67540795 0.52848364
## [8131] 0.88745953 0.35983167 2.05031105 2.67184896 2.53103283 1.21966660
## [8137] 3.53055449 1.91591377 0.88701825 1.32461430 0.38653503 0.65110314
## [8143] 0.70474369 3.45307335 0.58119868 1.03978065 0.86129414 0.70956699
## [8149] 0.33632237 7.54007891 1.33263424 0.22086142 4.07948201 0.43567701
## [8155] 1.59262585 1.41283427 8.86837663 2.45001524 3.91507003 2.27505140
## [8161] 1.61627674 1.59007078 4.39522720 2.51853353 0.14034195 0.72355772
## [8167] 2.64621409 0.37724081 2.20964891 0.30621864 1.07550585 0.61815669
## [8173] 0.48781312 0.81827542 1.63149152 0.75589983 4.50267256 0.86915760
## [8179] 0.71359821 0.60308731 2.78255651 2.86856962 2.08486942 0.93323596
## [8185] 1.14265156 0.62462138 1.29050341 0.21916322 0.78793305 1.23719517
## [8191] 2.51941679 2.90588566 0.88201909 0.93607595 0.35425823 4.44924632
## [8197] 2.92850498 0.81878249 0.83676732 0.16226998 3.42430982 0.74937725
## [8203] 1.25210015 0.84812866 0.36462481 0.25365477 0.14852395 1.23262271
## [8209] 0.90189507 0.66618993 2.66380480 1.74217621 1.97759352 0.29925716
## [8215] 1.85141482 0.28001742 2.41434678 0.97038564 0.37807217 1.34564075
## [8221] 1.91287443 2.34039747 0.49765782 1.63980464 0.38670330 0.99749029
## [8227] 6.74313442 4.01577312 1.10123628 2.86892323 0.31070197 4.23093039
## [8233] 1.62995004 0.11035050 1.62618206 17.06603091 7.71128760 0.44322937
## [8239] 1.39837370 0.83522302 1.53245951 1.51134188 8.19397843 0.71463784
## [8245] 0.51089201 4.06910453 1.04924736 0.76915046 1.68206832 4.91555601
## [8251] 3.20736944 2.09670362 0.61511223 0.30270198 0.46640381 0.26209591
## [8257] 1.09476971 0.35349611 9.61596244 1.95840630 7.11470646 0.28613749
## [8263] 0.61780958 0.98249797 0.30231387 2.12088979 5.58183475 0.26076356
## [8269] 1.37262995 1.07613784 1.30366624 2.14275116 0.54527299 0.56965435
## [8275] 3.63771247 7.14959867 7.33381861 2.65578028 0.99840203 3.03105331
## [8281] 1.92323698 3.88184932 0.47817021 0.23864677 0.29814353 0.34931725
## [8287] 0.99223746 0.11192860 1.02063127 0.12426536 0.81517585 1.56662870
## [8293] 4.31494617 1.04422050 0.27777166 1.50550562 0.59864983 0.96645525
## [8299] 0.73898530 0.62555283 0.72951858 0.59259473 1.11271264 6.50042183
## [8305] 0.48829853 0.87736046 0.38937566 0.42615540 1.17446461 0.72675638
## [8311] 0.52300296 0.76628156 0.35343679 2.19765784 2.89521142 0.97689426
## [8317] 0.53092813 0.73403370 2.00026818 19.27932221 0.12185181 2.72866198
## [8323] 0.37603755 2.32767645 0.95398787 1.23523528 1.55052706 0.32427262
## [8329] 0.59702283 1.20345213 1.35169269 1.04102243 1.40171074 1.48559703
## [8335] 1.19402667 2.42470916 0.38186100 0.34421349 0.76510012 3.77303671
## [8341] 0.50708486 0.77930442 0.53383629 0.38989682 0.51528721 0.16718597
## [8347] 0.33744490 0.59654313 0.61745414 1.63470012 1.53033761 0.91417983
## [8353] 0.28738953 0.20158487 1.67292269 1.58830621 0.84298251 1.57243600
## [8359] 1.65517506 1.17310082 1.16097940 0.24882413 0.95039570 2.12634636
## [8365] 4.04572803 1.48230468 3.24770844 0.39124102 0.43693182 0.61908435
## [8371] 2.31349765 4.25321251 4.02680059 5.55669699 0.88787972 0.43361647
## [8377] 2.32458737 1.95730631 4.43372016 2.57633859 1.00747786 2.55291369
## [8383] 1.47509557 0.78474704 0.99571976 0.47387145 0.92377523 0.05608450
## [8389] 2.16698408 2.78260922 1.68624014 0.34674397 0.16279638 0.48547583
## [8395] 0.67103547 0.36471865 2.75513539 1.14069588 47.98388476 0.38591083
## [8401] 8.03703140 2.95853661 1.01392574 1.56014635 0.61615666 2.08244853
## [8407] 0.18580539 0.93708774 0.21175591 0.18970888 1.36089088 0.59437605
## [8413] 0.71805663 0.16819800 1.52061463 0.59744308 1.49599741 1.66098117
## [8419] 0.30127780 1.09336500 1.78594653 0.42135879 1.13338285 1.30156745
## [8425] 0.20768126 0.30209002 0.62672637 1.49864487 0.47303946 0.77432552
## [8431] 3.52405955 0.27300060 1.46277001 2.29341548 0.51978341 2.50501285
## [8437] 2.84698409 1.39114255 3.00730725 0.54881028 0.93010329 0.36698311
## [8443] 2.92854356 0.55232659 3.04980857 2.94732976 2.29430397 0.33200891
## [8449] 1.64500740 0.71760555 2.19048716 0.66244952 0.35546699 1.15921777
## [8455] 0.69817114 1.03242211 1.39404693 0.29115092 3.10365115 0.14379146
## [8461] 0.37857975 2.03700136 0.96739550 2.12203854 6.55048186 0.61952540
## [8467] 10.28346360 1.49297273 2.15633667 1.27560802 0.40632629 0.84334973
## [8473] 0.28005700 0.53962185 0.25981271 4.12837125 0.48955902 1.16665301
## [8479] 0.18314469 5.94974969 0.50474352 0.30986847 0.21579193 1.76542679
## [8485] 1.06807485 1.00792446 4.87018525 0.68979510 0.35733432 0.59936740
## [8491] 3.64831240 0.30766757 0.43930163 0.50352229 0.29198258 0.10677080
## [8497] 0.80418010 2.18480173 1.51490036 0.58952781 1.09516260 4.98672685
## [8503] 2.58331333 0.91077816 0.51729356 0.42902632 4.83156535 0.82916035
## [8509] 1.46984848 1.17616233 2.06033073 0.17566635 1.71509647 1.09895379
## [8515] 0.34595773 0.51773394 7.20849096 4.48203115 1.97696501 0.24962814
## [8521] 0.64288043 0.52581766 0.54125643 0.90868023 0.79477831 0.21379943
## [8527] 1.75644507 1.43116857 0.21467342 0.40840929 1.64570267 1.05717438
## [8533] 3.13028238 1.30800428 0.36969665 1.46659909 1.91056962 0.31287383
## [8539] 1.82558176 2.37845449 1.02561053 0.57676944 0.61099064 0.49735962
## [8545] 0.39875227 3.18104935 0.25997687 0.84576870 1.16234680 0.95265787
## [8551] 0.91158061 0.62213297 2.18483826 0.74301103 0.61675717 3.46593987
## [8557] 1.17084727 0.52976783 1.12569939 0.39011473 0.60558738 1.72548689
## [8563] 0.32536926 0.28597938 2.44576184 1.23110184 0.98352452 0.77822627
## [8569] 2.77207912 0.11913644 2.17706778 0.56059033 0.80883378 0.17649571
## [8575] 1.90081332 0.64901433 3.42374900 1.79234730 0.52485130 10.48192317
## [8581] 0.93831124 11.58533947 3.33817251 0.65845118 3.86509439 0.53464800
## [8587] 0.75133412 0.54625591 0.29207102 0.75723003 0.09670067 0.84720983
## [8593] 0.31201482 0.39141976 3.15328003 0.67689711 0.41189548 1.07625889
## [8599] 0.54616696 0.53588337 0.49780220 2.67620207 0.31455507 0.76332202
## [8605] 2.48349295 2.91757040 2.19672403 2.83650442 2.93346361 0.74280420
## [8611] 0.53611191 1.38893498 2.64927201 0.61707075 3.57314227 0.39481543
## [8617] 0.94642644 0.68481414 6.61885256 9.16601542 0.37038346 1.15740503
## [8623] 2.04798564 1.72198460 4.76810497 0.57550865 0.20311895 0.27020328
## [8629] 7.93315337 0.88486239 0.53318544 0.19220199 0.45755300 0.30424773
## [8635] 0.70880452 1.21760522 6.56208697 2.06468855 0.62982349 0.77221635
## [8641] 1.48877337 4.43676712 1.36556046 0.45111852 3.12544772 2.05047995
## [8647] 0.86654020 2.88206698 0.79335574 1.41024348 1.74716812 6.07259875
## [8653] 0.14259878 3.11039222 0.70429708 1.26828079 1.21781302 1.72006845
## [8659] 7.85156030 1.28210794 1.01582044 2.37005946 2.18993879 0.23231697
## [8665] 1.38387161 2.97071777 1.10282474 0.11193041 0.16018423 1.29105084
## [8671] 0.66270350 1.45385763 1.19892983 0.40872878 0.71198816 1.63105245
## [8677] 1.04088636 0.39800079 0.16004960 1.16234241 0.93105593 2.13735527
## [8683] 1.75740813 1.71165112 4.12423210 0.48959679 7.13072059 1.26643250
## [8689] 0.77182177 0.64844482 2.52789739 0.78182336 2.81161291 1.09315398
## [8695] 6.62764342 5.85381511 1.50482484 1.41378842 0.72247452 3.27398490
## [8701] 0.19810142 3.46106500 1.63293936 0.12558220 0.09672181 0.49571477
## [8707] 3.52618917 0.28740309 3.63307614 0.69220230 1.44730854 0.32221144
## [8713] 1.74031032 0.28358550 0.16145592 3.11331715 1.18376540 2.69637302
## [8719] 0.54958125 1.49279422 0.78203978 0.66363582 0.14000847 1.62948988
## [8725] 5.38655150 0.91729091 0.41514489 1.26594097 6.71524699 0.56622256
## [8731] 1.06272867 0.79619477 2.34802887 1.37513854 1.84473323 0.72820845
## [8737] 0.16496239 0.47636980 1.93501060 3.08380358 1.13365208 1.89873019
## [8743] 1.08972995 0.27300889 0.67172872 3.29382213 1.07276111 0.28704168
## [8749] 1.40543074 10.19878279 3.35058255 3.03312896 5.76714260 1.31532996
## [8755] 0.44718651 8.21090417 1.39849027 1.75020423 0.30055587 0.28446549
## [8761] 1.16467337 0.69008214 0.73979734 0.44978332 4.27602514 0.77050576
## [8767] 1.77696603 0.98088100 0.81608891 0.51103151 1.56425388 0.57820710
## [8773] 1.87230150 4.91819515 3.68666609 0.78614514 2.96944786 4.21377130
## [8779] 5.84064827 0.45343930 1.26551098 0.37590018 0.54015738 1.09277230
## [8785] 0.78955634 2.48965132 0.93925661 0.32932882 0.50177190 0.08474287
## [8791] 0.51078560 2.11695162 1.63222530 1.38336668 0.94704411 3.26628552
## [8797] 0.45299701 0.70491471 0.39885596 1.21882174 0.29866787 4.22088433
## [8803] 0.61680647 1.70246258 0.29260246 0.34530229 0.92109755 6.73056623
## [8809] 0.62001002 0.65041935 2.19023968 1.12478816 0.93601449 1.39062049
## [8815] 0.13237393 0.68342856 1.91764839 0.12716085 2.27408838 0.70748299
## [8821] 0.14599125 1.64471674 0.54337936 0.75534871 2.21984862 1.72727018
## [8827] 0.69897176 0.07849615 0.99358857 4.43606978 2.13468108 1.71660649
## [8833] 0.44598634 2.99230320 3.75051241 2.23438124 2.36093305 1.35219357
## [8839] 1.58079394 1.08075878 0.43938339 1.64507223 0.36253816 0.40128439
## [8845] 0.63741086 0.26497975 0.79784587 0.73788265 4.45563126 0.45843126
## [8851] 0.18818823 2.58150015 1.67232874 0.25824525 0.80885918 0.37329728
## [8857] 1.32806291 0.34993227 3.02328209 2.07100535 1.22976976 0.38845461
## [8863] 0.25907720 3.73845989 0.68144554 2.65128355 2.49143617 0.94420379
## [8869] 0.45354004 0.79600563 2.12762845 0.63047743 0.52753973 0.77888466
## [8875] 1.27958079 1.42644256 4.75836467 3.61555987 1.66959428 0.40674374
## [8881] 4.32887115 1.31955158 2.45090631 0.49600238 0.99832114 0.75799084
## [8887] 2.31568703 0.79502025 1.10751776 0.93902601 1.01186415 0.65095533
## [8893] 0.26106336 1.10238302 3.38753099 0.67473471 0.37782485 0.16000737
## [8899] 0.53643321 3.55976846 0.45655500 3.50986157 1.99069325 0.99852628
## [8905] 0.51669896 0.73137502 1.27942766 0.14787259 0.52618288 1.10074007
## [8911] 0.83072686 0.94749947 1.55851252 4.16510840 0.79407420 0.19417801
## [8917] 0.27721845 7.45591077 0.33827043 0.51906523 0.59199189 1.67471478
## [8923] 0.72283109 1.53638739 0.72616176 0.49887442 0.37139633 5.71827967
## [8929] 0.50264963 3.06564837 1.00761802 3.24180324 0.43703461 0.57912711
## [8935] 0.12940730 2.82758983 0.51375745 8.03040969 0.57394154 0.55271914
## [8941] 0.11851874 5.03470259 0.49856499 1.08056116 0.07563797 5.72734086
## [8947] 1.28913505 0.38143940 2.56418057 4.51522248 0.79110701 1.60855184
## [8953] 0.08012019 1.74988273 0.18538727 0.14737252 0.76819678 0.89519458
## [8959] 2.67418734 0.23414438 2.42128917 0.34920009 0.50895563 1.27502337
## [8965] 0.99706768 2.42371168 0.50419906 0.34563208 2.91960866 1.90402578
## [8971] 4.32951783 0.58600134 2.16166113 0.84530172 0.82717979 0.61557248
## [8977] 1.62684052 4.54008211 3.46868681 4.48070566 0.30431715 1.65980608
## [8983] 0.65767236 0.42808015 0.32227954 11.58795140 0.47145159 1.72745065
## [8989] 0.73836076 1.17694869 1.07577514 1.34134401 4.24982642 1.95284561
## [8995] 1.21981695 0.63151996 0.54318464 0.71615233 3.83726226 1.42063094
## [9001] 23.34008399 0.79794639 0.53162534 0.56838640 1.40577914 2.25927199
## [9007] 0.48305805 0.44140489 0.22979174 1.00042930 0.12936994 4.54620341
## [9013] 2.19681886 1.05783303 0.66158205 0.22227525 0.41012597 0.74865439
## [9019] 0.39064735 0.20992467 1.33720108 1.32382563 0.42469826 0.18587492
## [9025] 0.94459829 0.67942746 0.51812505 0.98542373 1.34170970 1.16413706
## [9031] 0.86469084 1.51150527 12.53035584 6.38652780 3.38324898 0.76105789
## [9037] 0.16443467 3.52838938 6.27672455 4.28499502 0.63388067 0.30713897
## [9043] 4.48468986 1.88227012 0.21250834 1.12633936 0.08501577 0.18363880
## [9049] 1.29820939 0.70147441 7.63505474 0.80408828 0.58088454 0.37924805
## [9055] 0.30797284 0.51161487 1.24840294 2.88073354 0.64741422 0.34804121
## [9061] 1.21044771 0.67690536 1.92235908 0.66303737 1.10735474 6.68905867
## [9067] 0.86745995 0.90432193 5.11398404 1.42162247 1.50147299 1.81456464
## [9073] 0.37321587 1.41266203 2.42707997 1.14934210 2.67411889 0.60088241
## [9079] 1.25941943 0.38384268 2.87398954 1.76470495 2.37668708 0.33038242
## [9085] 1.23399795 0.32766451 0.26643360 0.26725413 1.51040818 1.29764328
## [9091] 0.10771179 6.53739493 6.45698663 0.31300508 0.73129299 2.94165581
## [9097] 3.89621749 1.39476906 1.49780770 1.14091049 0.74497256 0.39469504
## [9103] 1.08217457 0.66990161 2.26059001 4.67990787 0.55426977 7.08778517
## [9109] 7.56581557 1.79293792 0.72691460 3.24126864 0.34139439 2.30150769
## [9115] 0.38682121 1.42687690 0.33953978 0.34921011 8.25234407 1.56829582
## [9121] 0.93829617 1.06307091 6.82128920 1.69671618 1.01781338 0.65848015
## [9127] 0.59234891 0.21180459 3.42473945 2.19573379 0.56560807 4.60159796
## [9133] 0.94113224 0.56064749 0.08934431 0.54907449 0.76512558 0.79559541
## [9139] 0.39599428 2.15071318 0.47254315 0.58357570 0.44587013 1.04836438
## [9145] 0.56042067 0.45021842 1.30902869 0.19495793 0.92993691 0.91270081
## [9151] 3.18335028 0.55641210 0.84257563 0.46158357 2.56554878 0.55032664
## [9157] 2.66217408 2.39918163 0.85225486 1.29941494 0.44585908 3.98029614
## [9163] 3.72211194 1.19643523 0.61850890 0.73109182 0.78689923 1.34133497
## [9169] 0.88745290 0.22564180 0.95120552 0.32784231 0.32524556 0.34734898
## [9175] 1.26402219 4.84036703 1.11794384 4.78928954 0.58891271 0.57683101
## [9181] 0.23268463 0.98947491 0.50069039 0.96157966 0.85467754 2.50285074
## [9187] 0.35045932 1.24549156 5.11458805 0.30431809 0.57452400 0.57663019
## [9193] 1.56421208 7.45591433 0.69680231 1.53326973 1.24920941 0.27007878
## [9199] 6.73376316 1.16146740 0.28001549 0.44441747 0.18599211 2.80739848
## [9205] 2.30390680 0.83153181 3.19524631 0.72868381 1.39077844 0.62610604
## [9211] 5.62312978 0.44451284 1.09992051 2.25861113 0.91980636 0.31364177
## [9217] 0.31416503 1.96472569 1.53716803 1.81335716 1.08762592 0.14415430
## [9223] 0.65659651 1.90891544 0.89501475 0.83685431 2.09242353 1.84047753
## [9229] 5.92542368 0.88060772 0.53341485 1.14909738 0.76902539 0.64745974
## [9235] 0.34764165 1.19945820 0.58065893 0.52541988 2.12678277 0.37386311
## [9241] 2.29189153 0.80255919 0.24636017 0.51788779 0.25551068 1.20750420
## [9247] 0.94159491 3.91511635 1.39124856 0.12308899 1.27653003 0.29888404
## [9253] 2.76305745 0.53083177 4.91372242 0.32366357 2.02325068 1.31882810
## [9259] 0.51387882 1.30480397 2.15084179 0.89282243 1.20634556 1.33936038
## [9265] 0.22997528 0.95567888 0.43941304 2.46105083 0.50368736 6.08886962
## [9271] 1.07724402 9.31944245 2.53357706 0.60335201 0.12468991 2.56276600
## [9277] 2.33146251 0.16554039 0.73254769 0.27930666 0.92050796 0.84601889
## [9283] 1.06926855 0.61662255 7.24747119 0.92484877 1.44701564 0.77071202
## [9289] 1.90148326 0.81925807 0.16861320 11.53809508 1.09670159 0.18700332
## [9295] 0.12843075 4.84975069 4.37977890 2.82147569 1.87815884 0.52407608
## [9301] 3.96733900 0.58896074 1.10897053 0.38869498 0.30682663 0.74240000
## [9307] 0.56578693 0.93187841 0.61839387 2.23572533 2.83299430 0.32701725
## [9313] 0.53385934 1.34368400 3.46318883 6.23584616 1.31679692 1.20538498
## [9319] 0.20665360 2.06181102 0.47725429 0.29139784 0.45441862 0.46696961
## [9325] 0.44738671 2.53876417 0.07266863 1.02213843 0.61044783 3.15607799
## [9331] 0.53045002 0.66536306 0.91352982 2.73218924 1.20203297 0.79022094
## [9337] 3.30816848 0.72817367 1.39666055 4.00364557 0.21559691 3.59902707
## [9343] 1.65501420 0.44216194 1.37034156 0.90868559 1.00457958 0.42143349
## [9349] 0.56678906 2.34792099 0.34707147 3.40291838 0.43821205 0.35241668
## [9355] 8.23528117 1.20145167 0.51780256 2.74845743 0.65755714 0.94563298
## [9361] 0.60387505 4.09143522 0.36903957 0.91992042 1.03568241 0.34794020
## [9367] 2.08597544 0.63970211 0.45331007 34.70012228 2.76267687 2.91607687
## [9373] 0.69230031 0.52473759 0.48216776 3.17301687 0.57481827 0.93145757
## [9379] 0.31066175 2.77004929 0.86200251 2.93252869 0.95360181 0.80108827
## [9385] 8.97176992 1.59528737 3.20970044 1.38720622 3.25717735 0.73940896
## [9391] 2.14218126 0.68061849 0.81147809 1.41626211 1.00528977 0.96487379
## [9397] 0.96240491 0.88155228 0.72007970 1.00728805 1.04577420 4.22143518
## [9403] 1.35257426 11.42555201 1.38784605 0.97073671 1.42936537 0.49565949
## [9409] 0.69767415 1.03564687 1.06278256 0.22566579 3.57140014 2.41918503
## [9415] 0.39422062 1.61877123 6.21505338 0.19862985 1.18154492 0.81625179
## [9421] 1.04475668 0.49690332 0.35762327 2.52455019 0.66214245 0.72878041
## [9427] 1.68452990 0.14917860 0.85857212 0.90648316 2.20416991 1.51764416
## [9433] 2.34439582 7.43685491 1.20662094 3.07119251 3.77868631 1.25489131
## [9439] 2.26090972 0.67436382 2.98144035 1.10334230 6.45854538 7.49637324
## [9445] 2.10157342 1.26319469 2.01291426 0.57139013 0.50425252 0.69189520
## [9451] 0.17924841 0.40266242 1.43444116 6.53289468 1.63296017 1.04007330
## [9457] 0.90466188 0.69698487 1.11673279 0.59019568 1.74371107 7.05111280
## [9463] 1.15227445 0.22717186 1.05741147 0.33384928 0.61208071 0.30454848
## [9469] 0.07552146 0.63199678 1.15873769 0.89799279 0.61407489 0.67839893
## [9475] 0.31763068 0.93234848 0.47803290 2.11397407 3.09600731 1.98313698
## [9481] 0.81732420 1.02968329 0.61005300 1.47234206 0.82516822 0.82146300
## [9487] 2.09631964 0.30319034 0.63791060 1.53677204 1.03154518 1.17724041
## [9493] 1.12968079 2.45386608 0.53316386 1.03879303 2.87694776 2.75895886
## [9499] 2.32026807 0.95878029 1.91790695 2.16134636 0.09965921 0.72130991
## [9505] 1.63113337 0.92303542 2.86664240 0.56288299 0.48208273 0.29717226
## [9511] 1.22302204 0.35671989 0.64186548 1.56873497 0.43052254 2.04973746
## [9517] 1.41116513 0.76213809 0.24539004 1.09028711 0.52606032 2.25850302
## [9523] 3.02845400 3.98771229 0.33848463 1.59228736 2.20564667 0.97896266
## [9529] 1.41813375 0.72896057 0.70012815 1.25133654 0.48298477 0.47016805
## [9535] 1.04284976 2.59851621 1.45367240 1.58604039 5.82872811 1.17131387
## [9541] 0.57614433 0.18331484 0.79076905 1.33213067 0.76927174 2.01236431
## [9547] 1.28542844 1.15283447 0.46698885 0.34957511 0.45932005 2.65633224
## [9553] 1.00796588 0.60012798 1.14866996 0.39775492 0.78124965 0.30398943
## [9559] 4.75178483 4.59729877 3.68505818 1.59281981 5.23010002 1.44205777
## [9565] 1.50813736 0.15445917 0.86297958 0.39148883 0.68113979 2.97921637
## [9571] 0.22209065 2.61137430 0.39213995 0.16524586 1.07680513 3.77573237
## [9577] 0.07374642 0.55873737 1.45015623 0.44081611 0.73082625 0.26801147
## [9583] 2.61851757 1.95195721 0.92089985 0.26864581 1.46543945 1.08488739
## [9589] 0.24456830 0.67287709 0.42690592 2.57660204 3.85440928 0.45423787
## [9595] 0.75549998 0.41265458 1.43132410 0.85213554 0.95778838 0.70016424
## [9601] 1.45374511 6.89575895 1.53134357 4.49267262 0.72745913 1.77331101
## [9607] 2.76600461 0.65286489 0.79962055 0.79452717 1.56910260 0.98285581
## [9613] 0.15954314 2.76871654 0.62084219 1.07268830 0.45168579 0.34135798
## [9619] 0.38310681 2.87348101 0.64212249 0.95511687 1.44592917 0.38386502
## [9625] 0.20212416 0.98942232 0.28326868 1.46034936 0.47497773 5.05205341
## [9631] 0.62095831 0.56660785 0.40128525 0.64047486 2.07121381 1.28736148
## [9637] 1.74846950 1.66383881 0.62317013 0.34456853 0.53668419 0.41567084
## [9643] 1.97232087 1.86822213 0.78957295 5.07306506 1.72414370 0.39316581
## [9649] 5.82818160 0.41663277 13.01566832 0.40194195 0.88076121 1.56254015
## [9655] 0.36575540 0.89480284 0.64792217 4.87437095 0.31688118 1.32542353
## [9661] 0.92864404 0.35467680 1.78985920 2.48803806 2.91930048 7.03408414
## [9667] 0.59034888 0.55565185 2.02035868 0.41245125 0.42170429 1.18516036
## [9673] 0.46733197 0.33220324 0.41521999 3.35820292 0.13308620 0.78020471
## [9679] 1.06504143 1.30299813 3.87532397 1.68360939 1.58935503 4.13697470
## [9685] 0.68345302 0.39292629 0.51636138 0.08897088 3.21994129 1.48345106
## [9691] 0.52755077 0.58481616 0.85946441 0.46355821 5.42804061 2.67760746
## [9697] 3.55157519 2.12442407 0.77708183 1.17876795 3.16734553 0.70017259
## [9703] 0.48493767 0.45485634 3.06404047 1.27739302 1.66951469 2.64696454
## [9709] 2.43355184 0.25554043 0.54599396 2.11998277 0.99056627 1.27634913
## [9715] 0.29740484 1.17664676 1.82034652 1.91672381 3.47328538 0.31741017
## [9721] 1.48778234 0.58181902 3.34270428 1.97837702 1.00288570 0.40736399
## [9727] 0.63736092 0.27045653 6.76124166 0.69334123 0.29803285 1.84607364
## [9733] 0.10743386 1.77792790 2.20642649 3.66969736 0.47844532 2.23313905
## [9739] 2.73097284 2.35153484 1.11959955 0.83833347 4.67810132 0.68205413
## [9745] 1.23247142 0.09707655 0.20627940 0.17146140 1.93836124 1.41749396
## [9751] 2.39017508 3.39931196 0.99243790 0.89354329 0.82663133 0.76185842
## [9757] 0.19638289 0.29052545 0.93757220 5.62471139 0.51884558 2.81119860
## [9763] 0.29884411 3.04789249 1.36748425 4.72823538 1.81980200 0.47789430
## [9769] 4.81002779 1.25419194 1.59963115 2.69944478 0.61668261 1.21052301
## [9775] 0.19896543 0.09749598 1.69403979 1.58154104 3.38356262 0.12053151
## [9781] 0.67873548 0.81411319 3.93681641 0.92581846 2.27858645 0.52088665
## [9787] 0.57971067 0.57164240 1.42320559 0.50296974 0.84826170 1.04309034
## [9793] 8.20746392 0.37858319 0.67635987 0.36110552 0.54863894 2.73914856
## [9799] 1.71059830 1.17005964 0.65727171 6.04640348 6.16043550 0.73302672
## [9805] 1.89782688 2.29302525 3.84511023 1.64947010 0.80420781 1.10612304
## [9811] 2.56116142 0.58722214 0.14058729 1.30377826 1.42180697 0.12887556
## [9817] 1.59365866 0.33391644 0.68921619 0.65711029 0.38167649 1.89773057
## [9823] 1.64455809 3.73845377 0.78988810 0.82487650 0.17438675 5.84385726
## [9829] 0.65586852 0.71996182 0.21800604 0.39648284 0.67632165 1.74819062
## [9835] 2.40862473 2.02957386 1.01381247 1.09824105 1.54158511 0.73147020
## [9841] 1.55681487 0.57384609 27.49307410 0.70250179 4.39057163 1.01690413
## [9847] 0.31068949 1.44910954 0.57550017 1.68696254 0.29144036 0.65503448
## [9853] 1.65346396 0.39934127 0.12972887 0.45378974 0.52394130 1.43425539
## [9859] 0.53238888 4.53971375 1.56743537 8.61090619 7.41812586 0.40594282
## [9865] 0.93570236 0.44549959 0.34396335 2.30432022 0.30713744 3.57810383
## [9871] 1.84515180 3.87292270 1.04275661 0.71638831 0.57746361 0.25463327
## [9877] 4.38983144 1.04815141 1.50412855 0.62606586 0.20685702 0.53115185
## [9883] 0.80881788 3.53609919 0.29392146 4.73827012 7.96009043 0.32194377
## [9889] 2.81467727 0.09190621 0.58620352 1.12613172 0.45393628 0.45353904
## [9895] 3.44389064 0.84202914 0.95826114 0.73296893 1.07122783 0.89332468
## [9901] 0.63533145 1.69058468 0.27644580 2.34649496 1.81396539 0.96468450
## [9907] 0.78686354 0.49047169 1.88250641 0.45859533 0.22717917 2.62417267
## [9913] 0.83469052 1.20833789 0.42789771 0.72276381 1.07291320 0.17936668
## [9919] 0.17788852 6.32230473 9.30327514 0.97266705 4.51562502 0.11241271
## [9925] 0.83953534 2.18775820 0.44598949 0.09887115 0.64478519 5.33209253
## [9931] 0.39768367 0.72754795 1.33906826 1.01276905 1.17789673 0.41102873
## [9937] 1.41987121 0.63549548 0.83026999 1.14609363 1.20210874 12.71063632
## [9943] 0.89008915 2.24541861 2.99097251 0.63750922 2.14368367 1.47520103
## [9949] 0.83789390 0.46883156 1.57118063 0.96709734 0.10528783 0.22195030
## [9955] 3.10561568 1.04994600 0.16588195 0.13572927 0.80452492 0.87463050
## [9961] 1.46301231 0.44628776 3.97950376 2.44581771 0.72218536 2.31530702
## [9967] 0.46201462 0.82568375 11.84977355 1.47590424 1.30212054 4.23469423
## [9973] 1.34165734 6.91579109 3.27376956 0.74793503 2.65355157 0.50303282
## [9979] 0.43726293 0.77724891 1.92060466 1.00098762 1.65955496 1.43725436
## [9985] 0.54493422 1.48777320 8.19598618 0.20773382 0.95424471 0.60743108
## [9991] 0.45934647 3.02410945 1.21662005 2.86417776 6.53353513 1.84909892
## [9997] 0.71193074 1.34995235 1.39899851 1.05009688hist(y_rlnorm, # Plot of randomly drawn log normal density
breaks = 100,
main = "")
(describe(y_rlnorm))## vars n mean sd median trimmed mad min max range skew kurtosis se
## X1 1 10000 1.66 2.19 1 1.25 0.88 0.02 50.83 50.8 5.89 73.84 0.02(summary(y_rlnorm))## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.02473 0.51571 0.99694 1.66463 1.99038 50.82724#I believe that the shape that best represents income for people between the ages of 40 and 70. can be modeled best with the log-norm distribution. I would expect salaries to cluster around 60k per year and distribute themselves to higher incomes following a log-norm function.
#now that I have selected the lognorm distribution I want to try to generate a distribution and then take the log of it.
rlnorm(1000, log(60000), log(12000))## [1] 2.316965e+07 4.041797e+01 2.498755e+06 6.547068e+10 7.715523e-02
## [6] 8.191923e-01 6.402968e-01 2.159676e-02 7.376202e+08 3.755843e+00
## [11] 2.294971e+12 5.956918e+10 3.842442e+00 5.010607e-02 2.859470e+01
## [16] 1.378139e+10 1.140479e+05 1.060397e+12 6.084587e+03 6.210883e+06
## [21] 8.966703e+12 5.541253e+04 2.578232e+04 3.261963e+02 5.831340e+04
## [26] 6.541246e+03 3.689714e+03 2.925630e+04 1.940062e+06 5.621217e+04
## [31] 1.769745e+11 1.349748e+08 1.843770e-05 7.435938e+01 2.886385e+05
## [36] 4.765540e+04 2.760890e-08 8.499379e+00 1.471874e+00 2.847978e+07
## [41] 1.406184e+01 6.477593e-02 2.376748e+04 1.075720e+02 1.476916e+08
## [46] 1.395650e-03 3.632051e+08 3.720409e-04 1.447896e-01 4.609422e+03
## [51] 1.240644e+02 5.615304e+11 3.438112e+05 4.181651e+01 2.534123e-06
## [56] 7.505875e+02 1.017565e+02 7.079543e+01 5.075246e+06 1.317216e+11
## [61] 4.624706e+03 4.622020e+00 3.779537e+01 1.290606e+05 3.169588e+08
## [66] 1.845464e-01 5.743047e+05 6.008960e+05 1.432749e+11 1.767091e+03
## [71] 1.270396e+05 2.028032e+02 6.978256e+06 3.806932e-01 5.571680e+01
## [76] 1.108938e+10 6.514091e-03 3.079431e-01 8.090676e+09 2.837229e+06
## [81] 8.179941e+04 1.322840e+06 1.947998e+06 1.799506e+07 8.690754e+05
## [86] 1.002760e+07 5.792081e+00 1.207783e+04 4.784062e+09 4.337036e+04
## [91] 5.483759e+06 1.015868e+10 5.489154e+08 2.689417e-03 5.784318e+07
## [96] 1.668601e+03 3.565292e+07 1.408896e+09 2.817821e+10 3.880888e+00
## [101] 1.333482e+06 6.156421e+04 9.299344e+00 9.419986e+05 1.046449e+07
## [106] 1.110788e+10 6.482485e-01 3.858380e+05 2.690779e+07 3.551927e-01
## [111] 3.797313e+09 7.179460e+07 1.723873e+04 1.947021e+01 2.460882e+07
## [116] 1.793101e+01 7.669869e+08 1.097169e+08 1.654639e+04 9.079469e+06
## [121] 9.126530e+05 1.916984e+04 6.748159e+03 1.941814e-04 5.754980e+08
## [126] 7.155472e+01 7.023492e+01 1.335256e+07 4.761196e+00 8.072106e+04
## [131] 1.309451e+06 4.713550e+00 5.023951e+09 1.009292e+06 2.862950e+04
## [136] 1.439265e+10 5.762778e+09 1.374476e+04 2.739462e+14 7.504060e+04
## [141] 1.009092e+06 9.734905e+05 1.287421e+01 1.652990e+12 6.915379e+09
## [146] 2.751351e-01 8.431410e+04 1.208886e+04 4.686266e+02 8.280352e-01
## [151] 2.862223e+03 2.476857e+07 2.753457e-04 1.863315e+06 9.928677e-01
## [156] 8.549431e-06 2.350462e+01 6.896719e+03 7.254159e-05 1.867442e-05
## [161] 2.679175e+05 2.525448e+06 3.490406e+05 1.718162e+04 3.615596e+07
## [166] 9.356083e+02 1.349249e+09 1.474195e+01 5.193246e+06 3.076280e+06
## [171] 9.015750e+02 3.834268e+00 5.604024e+04 1.858332e+00 7.388684e-05
## [176] 3.688795e-06 1.616894e-01 6.920332e+04 3.691164e+06 4.563596e+07
## [181] 1.764668e+05 1.427545e+08 1.781555e+02 4.668282e+05 2.600942e-03
## [186] 1.537158e+12 1.648326e+03 3.480195e+06 9.294314e+05 9.569557e-01
## [191] 4.811043e-03 8.997180e-02 1.851173e+10 2.388010e+07 4.212968e+00
## [196] 2.445262e+06 3.817996e+07 1.448550e+07 2.660266e+05 3.861212e+04
## [201] 3.397274e+01 1.096316e+06 3.943289e-01 3.675838e+06 8.653383e+03
## [206] 1.137875e+04 2.687402e+02 2.170028e+03 5.879963e+02 4.665855e+06
## [211] 1.101875e+04 8.305956e+01 9.143021e+09 1.011901e-01 1.671615e+04
## [216] 3.222965e+01 1.169445e+07 2.242171e+07 2.470877e+00 1.841236e+09
## [221] 4.372493e-04 1.481519e+09 7.724287e+04 9.735091e+09 1.050137e+08
## [226] 9.458094e+06 1.417860e+07 8.914864e+01 1.646390e+01 4.669329e+01
## [231] 4.008313e+06 8.378852e+02 7.703297e+00 4.146635e+02 1.534747e+00
## [236] 4.166646e+09 2.217994e+03 9.629976e+06 1.102672e+05 3.165018e+07
## [241] 2.459975e+10 8.209050e+11 9.395993e+00 1.591078e-01 5.125043e+07
## [246] 1.830702e+05 4.679408e+05 3.752908e-02 6.916636e+06 7.736063e-03
## [251] 2.560284e+01 1.880820e+07 1.285322e-01 9.300988e+06 1.492632e+07
## [256] 8.579972e+06 8.848117e+06 2.445323e-02 2.566909e+03 1.413973e-01
## [261] 1.568433e+00 3.085805e-05 2.228299e+06 1.879144e+09 6.597928e+01
## [266] 4.228733e+11 1.125242e+11 2.817050e+09 1.534691e+10 1.067525e-01
## [271] 1.915844e+14 3.879502e+07 7.392085e+05 1.277654e+11 6.292061e+00
## [276] 6.043747e+05 1.272220e+06 6.841921e+00 2.947242e+03 8.289206e+03
## [281] 6.596473e+10 6.650977e+00 1.432239e+05 1.208563e+04 2.601678e+06
## [286] 1.300814e+01 5.263421e+02 5.431153e+04 5.778791e+05 9.642046e-04
## [291] 7.809416e+10 4.833249e+04 3.909803e+01 8.269184e+05 3.403464e-01
## [296] 2.094134e+03 2.945960e+09 3.135288e+13 2.436101e+08 1.049026e+10
## [301] 1.419664e+06 3.886062e+00 5.043809e+17 7.989059e+07 1.438324e+06
## [306] 5.477303e+04 4.165896e-02 1.695740e+01 1.361046e+07 4.050443e+09
## [311] 2.227623e+02 1.297737e+12 3.215315e-03 2.815200e+04 1.833857e+03
## [316] 9.224826e+11 3.398372e-01 1.142914e+03 2.591341e+08 3.011814e+12
## [321] 2.161668e+05 8.844505e+10 1.590354e+10 4.292972e-02 9.464705e+09
## [326] 2.891184e-01 5.917120e+04 2.450463e+01 8.203438e-03 1.078216e+02
## [331] 1.843995e+05 7.485592e+13 1.346304e+06 1.516565e+07 7.738374e+03
## [336] 4.310006e+09 1.036400e-03 1.565660e+06 9.215660e+06 7.134314e+06
## [341] 3.935670e+13 2.974738e+01 4.360786e+09 3.384659e+05 3.479192e+00
## [346] 1.698769e-05 1.338651e+07 1.457802e+06 1.296301e+12 1.114443e+08
## [351] 1.071926e+06 2.478661e+09 4.054131e+07 6.621063e+05 1.012526e+06
## [356] 5.305461e+04 3.536829e+07 7.609581e+02 6.574498e+07 3.328101e+02
## [361] 1.304302e+06 1.004191e+01 6.076745e+03 7.167623e+07 2.140911e+02
## [366] 4.365134e-02 3.210486e+03 9.216746e+08 1.918858e+10 3.046711e+08
## [371] 3.526319e+04 6.464178e+06 5.510510e+06 2.281697e+03 1.200036e-01
## [376] 6.249169e+04 2.847811e+06 1.035913e+02 6.504542e+04 3.465171e+01
## [381] 1.542525e+02 4.144541e+05 1.855265e+06 2.043026e+04 1.787435e+06
## [386] 1.735827e+11 4.555257e+08 2.526633e+01 6.033388e-01 1.155258e+11
## [391] 4.536303e+10 2.666766e+10 2.025451e+10 7.236073e+01 6.508022e-02
## [396] 7.881417e+02 8.586567e+07 1.541572e+01 5.870735e+08 4.761775e+07
## [401] 1.776146e+07 7.858571e+03 1.380505e+05 7.640915e+04 8.276914e-05
## [406] 2.416748e+06 4.014526e+01 1.869393e+05 1.756305e+07 2.373076e+04
## [411] 1.823664e+09 4.133766e+07 2.317095e+04 2.774808e+03 6.234407e+08
## [416] 3.405125e+03 1.079762e-11 1.186761e+05 1.246456e+11 4.866921e-02
## [421] 1.418705e+01 1.182582e-02 1.129159e+02 1.250564e+10 2.524605e+03
## [426] 5.216406e+08 4.652311e+00 7.318923e+00 2.789099e+03 3.484296e-01
## [431] 1.382728e+04 8.738891e+01 4.382790e-02 1.460640e-05 3.838546e+06
## [436] 1.237619e+04 3.556441e+04 1.357019e+03 1.549519e-03 1.153753e-02
## [441] 2.956188e-02 6.044419e+05 1.536805e+06 4.303720e+09 3.279110e+00
## [446] 3.468068e+05 1.397060e+00 2.463772e+05 1.425698e+07 3.828298e+13
## [451] 6.576531e+14 3.650460e+00 1.364250e+05 5.108536e-02 5.841624e+05
## [456] 6.882700e+00 1.153868e+05 1.443754e+06 2.581200e+11 2.525796e+06
## [461] 1.821625e+06 3.796243e+01 4.108102e+04 5.036567e+03 1.046056e+07
## [466] 1.158607e+10 2.217660e+00 3.750120e+07 8.785101e+10 1.237395e+02
## [471] 9.926356e+07 8.500083e+05 3.681741e+03 1.760967e-06 6.578749e+00
## [476] 2.251210e+00 1.157275e+05 3.269355e+04 3.967937e+06 1.990323e+00
## [481] 1.048587e+10 2.419116e+05 3.535085e+09 4.400380e+01 4.753132e+07
## [486] 9.377875e+00 8.016103e+04 7.840376e-03 2.768345e-02 9.642759e+06
## [491] 8.049461e-02 2.178079e+13 3.584232e+11 1.324088e+08 1.555935e+06
## [496] 2.063778e+02 3.729506e+06 4.064901e+06 6.644596e+05 2.902035e+07
## [501] 1.858563e+12 7.804163e+02 4.995135e+10 3.116160e-05 3.202244e+06
## [506] 1.094068e+11 9.749972e+03 2.307662e+08 9.409509e+03 5.020834e+07
## [511] 1.554764e+08 2.139943e-02 2.824455e+06 6.739095e+06 4.426002e+05
## [516] 2.119553e+09 1.253246e+04 1.770274e+11 2.050969e+06 1.932361e+12
## [521] 1.178753e+06 1.443613e+10 2.327592e-04 9.648926e+00 2.299889e+15
## [526] 2.102542e+03 4.090364e-01 2.772998e-01 4.059457e+06 1.936763e+09
## [531] 2.078326e+07 3.485876e+01 2.884812e-01 1.266563e+05 2.709171e+07
## [536] 2.319767e+00 5.141333e+06 8.722189e-03 7.103666e+09 1.128836e+09
## [541] 1.684442e+02 5.737998e+03 8.819447e+03 1.293923e+05 1.025814e+03
## [546] 1.340782e+12 1.635587e+00 1.261886e+05 6.231528e-01 2.995938e+09
## [551] 7.516665e+03 5.254631e+04 3.613424e+10 3.759586e+08 1.713260e+01
## [556] 2.405188e-01 1.383736e+00 2.665276e+04 1.554836e+03 8.141707e+06
## [561] 1.249003e-04 1.006322e+07 2.399669e+05 2.539776e+19 6.760625e+07
## [566] 3.961190e+06 2.353137e+01 6.098405e+15 9.361791e+02 2.153973e+05
## [571] 9.884831e+06 1.195144e+01 9.408697e+01 5.210732e-01 5.223204e+02
## [576] 1.818698e+10 7.570367e+11 1.244984e+07 2.427986e-04 4.880036e+03
## [581] 1.136035e+09 4.179605e+03 1.189790e-02 2.061320e+02 2.089345e+11
## [586] 1.286528e+10 3.067855e+07 1.375310e+06 7.150846e+08 3.285298e+00
## [591] 5.149539e+09 1.464360e-02 1.389796e+10 1.015486e+10 2.093058e+05
## [596] 9.306510e+02 4.374960e+09 5.870093e+00 5.988753e+04 2.533720e+05
## [601] 1.301558e+08 2.146162e+01 2.971423e+00 7.410700e-01 5.764568e+09
## [606] 6.652486e+04 4.035358e+02 1.014478e+00 5.912205e+02 2.750315e+10
## [611] 1.861724e+06 1.703519e+02 2.506417e+04 8.140700e+02 2.611558e+05
## [616] 2.178178e-03 4.934308e+05 8.766362e+00 1.720580e+07 1.673681e+03
## [621] 1.181683e-02 3.458017e+08 3.607458e+04 4.656215e+11 3.567216e+05
## [626] 2.784053e+05 1.825977e+03 5.513668e-01 2.560555e+03 9.049834e+02
## [631] 2.787911e+04 2.825370e+04 2.436652e+04 2.911113e+07 6.499216e+05
## [636] 4.479314e+09 5.098167e+04 5.590409e+02 7.393863e+04 1.396206e+07
## [641] 4.969772e+04 2.646104e+05 1.202337e+07 4.370820e-02 5.303902e+00
## [646] 4.915000e+07 6.531479e+08 2.360723e+04 2.205444e+10 3.036533e+03
## [651] 1.408564e+09 1.313703e+08 6.459051e+00 4.495932e+10 2.914670e-01
## [656] 2.258938e+04 2.832021e-02 1.524195e+08 1.372568e+07 4.303731e+02
## [661] 1.230019e+02 1.618065e+04 6.832998e+03 1.803020e+07 1.959213e+08
## [666] 1.125670e+03 1.025710e-02 4.151964e+02 1.768076e+05 6.525868e+05
## [671] 6.824949e+00 2.796998e+03 9.477981e+05 7.309149e+17 5.992829e+08
## [676] 6.051807e+05 9.396834e+04 6.615747e+02 4.881606e-02 4.264405e+05
## [681] 1.584755e+07 7.482683e-02 1.028667e+09 1.081702e+06 2.350936e+07
## [686] 4.731228e+05 5.699632e+08 2.212306e+06 1.350085e+08 3.261592e+10
## [691] 3.684881e+09 3.116682e+05 2.336847e+11 3.381451e+00 7.815651e-03
## [696] 1.816223e+06 3.619991e+02 8.466893e-01 3.554726e+05 1.323965e+09
## [701] 1.449364e+10 2.412714e+01 5.159604e+09 6.872311e+11 7.870761e-01
## [706] 2.487012e+01 3.219094e+04 2.480779e+08 1.362844e+06 5.215743e+04
## [711] 1.150755e+09 5.511378e+09 8.676345e+06 2.198375e+10 1.795109e+02
## [716] 7.287445e-03 5.377304e+06 1.491587e+05 7.980359e+04 8.077888e+03
## [721] 1.609232e+05 9.883413e-02 3.338403e-01 5.854773e+03 1.069404e+06
## [726] 6.215378e+06 2.932788e+07 2.601486e+05 3.676309e+13 2.568438e+03
## [731] 3.831385e+00 1.646105e+08 1.009113e+06 1.075734e+05 3.610707e-01
## [736] 1.585967e+11 1.059858e+05 5.550243e+06 2.361337e+03 1.108727e+08
## [741] 1.333134e+09 6.293358e+07 2.442479e+09 1.564666e+08 2.434858e-02
## [746] 5.607250e+04 1.484247e+07 2.398109e+04 5.056216e+09 3.113026e+02
## [751] 1.171199e+08 1.322026e+04 1.416427e+08 4.861230e+06 5.806090e+05
## [756] 4.740504e+03 2.831641e+05 7.978624e+07 1.776621e-04 4.361016e+02
## [761] 8.780088e+09 2.701277e+09 1.819851e+09 1.696269e+03 1.214308e+01
## [766] 6.978439e+03 2.287233e+00 1.662888e+04 3.415067e+07 3.167619e+07
## [771] 1.495366e-01 3.846024e+07 1.175311e+08 8.646173e+05 9.360973e+01
## [776] 1.935132e-01 4.493085e+00 4.801647e+06 8.149026e+06 1.395226e+05
## [781] 9.454140e+02 2.718345e+07 3.868021e+07 6.455350e+10 2.665662e+01
## [786] 3.098782e+11 2.987895e+08 2.790395e+07 1.028657e+07 1.835353e+03
## [791] 1.201628e+13 3.194267e+06 3.265633e+10 1.970297e+07 2.572346e+01
## [796] 4.270326e+05 1.077942e+04 1.455024e+09 4.953547e+08 2.983609e+00
## [801] 2.811057e-02 2.952513e-01 1.812741e+11 3.995149e+02 5.095139e+05
## [806] 8.187004e-07 2.911267e-03 3.783223e+05 8.612386e+01 1.055616e+05
## [811] 7.827773e-03 2.811473e+05 6.520761e+02 1.176379e+08 3.263284e-02
## [816] 1.837798e+01 2.498881e+02 4.026853e+07 9.525337e+01 7.050447e+01
## [821] 2.352157e+02 5.708526e+06 3.507921e+08 4.950667e-03 1.330033e+05
## [826] 1.608549e+09 4.752509e+02 1.153547e+04 1.416785e+05 5.189787e+03
## [831] 2.866459e+02 5.651425e+02 1.727781e+05 3.681512e+03 1.808955e+03
## [836] 1.142364e+05 7.771792e+08 5.150991e+00 5.737001e+14 3.189538e+12
## [841] 1.669516e+07 9.587444e+01 2.366002e+05 1.413584e-05 7.190325e+02
## [846] 2.461798e+00 9.428584e+02 1.186319e+09 7.224681e+02 1.211021e+06
## [851] 1.670031e+03 1.074530e+04 1.862362e+04 5.755522e+06 1.127787e+06
## [856] 2.622505e-01 2.775908e+00 9.740459e+02 5.037945e+04 1.114336e+14
## [861] 2.795222e+06 8.051612e+02 5.166965e+02 1.519775e+03 7.587204e+02
## [866] 7.515455e+05 3.487283e+05 2.086220e-01 4.411780e+06 1.214277e-05
## [871] 1.317471e+06 2.197944e+05 3.342644e+09 2.137951e+07 1.439164e+07
## [876] 4.409982e+04 7.148951e+03 1.691431e+04 3.595555e+07 2.201155e+13
## [881] 4.524448e+05 1.140106e+06 1.450031e+07 5.955000e+04 6.368826e+10
## [886] 1.744248e+10 1.269546e+00 2.733646e+04 2.612505e+04 1.004096e+06
## [891] 1.246895e+01 1.170668e+02 1.403540e+02 7.436011e-02 3.499966e+11
## [896] 2.395061e+07 1.075684e+09 3.672623e+07 7.212647e+11 3.706119e+04
## [901] 1.155835e+09 6.090788e-03 2.021805e+08 1.376471e-01 1.297065e+09
## [906] 7.891610e+07 4.670855e-01 8.796012e+04 5.637435e+02 7.506502e+03
## [911] 1.254850e+02 1.926017e+03 2.043772e+10 3.250439e+04 4.047503e+03
## [916] 4.398634e+05 1.956007e-01 1.975618e+04 7.551232e+00 1.311062e+09
## [921] 3.334905e+09 7.607425e+03 3.069130e+00 1.668120e+05 1.922112e-08
## [926] 2.888087e+11 1.561293e+05 7.151865e+02 4.551176e+07 2.012348e-07
## [931] 5.225148e-02 2.040986e+14 9.399393e+06 1.652852e+02 8.159269e+00
## [936] 1.319232e+00 7.539593e-01 1.260730e+02 8.662567e+00 7.308643e-01
## [941] 6.290527e+13 1.069536e+08 4.696012e+04 1.057003e+02 1.367726e+05
## [946] 1.774897e+03 1.104081e-03 3.673687e+10 3.991571e+02 1.154471e+00
## [951] 9.644821e+07 1.666535e+05 1.690573e+02 8.352861e-02 2.574060e+00
## [956] 1.087600e+03 6.660171e+00 4.079133e+06 3.482856e+03 3.019446e-02
## [961] 3.003781e+04 4.634421e+04 1.316848e-01 6.078210e+00 2.112531e+07
## [966] 8.978169e+02 1.632702e+10 3.599627e+05 1.215123e+01 4.024398e-02
## [971] 2.802986e+05 6.754703e+08 4.467373e+02 6.091394e+03 7.506371e+03
## [976] 1.123739e+06 1.425907e+02 2.183937e+07 8.679449e+05 5.169509e+08
## [981] 1.933378e+02 2.941347e+01 2.014350e+01 3.635333e+05 2.412635e+05
## [986] 1.744411e-01 1.925886e+05 1.576084e-02 3.991867e+02 1.693785e+10
## [991] 2.801531e+03 1.273414e+05 2.901392e+08 3.858646e+05 9.539667e+04
## [996] 8.409490e+01 6.386494e+02 6.577906e+03 2.671682e+07 2.902661e+04incomed <- rlnorm(1000, log(60000), log(12000))
plot(incomed)
describe(incomed)## vars n mean sd median trimmed mad min
## X1 1 1000 6.907404e+13 1.79056e+15 68991.53 243644684 102286.8 0
## max range skew kurtosis se
## X1 5.61094e+16 5.61094e+16 30.71 956.7 5.662248e+13summary(incomed)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.000e+00 6.300e+01 6.899e+04 6.907e+13 4.280e+07 5.611e+16#It would be great if I could zoom in. But using this lognormal distribution, I am showing a min income of 0, a median of 68990 and a mean of 69070, now Im just missing the mode. The mode is the value that maximizes the PDF but that's as far as I can go with that, it is a closed form solution though.#Q7—–Identify problems with the graph of GDP and make a new and improved graph
#Q7——————–Redesign the GDP chart
#problems with the original graph. I don't really have much of a point of reference for USA or Eurozone because the data is only 1996-2006. I graphed the "Real GDP per Capita". This way we can try to get an idea of the standard of living that these people enjoy. I also took the dates much farther back so we can get an idea of what is a normal growth rate, rather than looking at a small window of time. I prefer viewing GDP in log scale, again for the same reason, it allows me to better see the growth rates of each GDP level.Another problem that I tried to fix was grouping countries into "Euro area". I assume this means the "Eurozone" but I graphed every country in the "Eurozone" because that allows us to see which countries see growth and which do not, we would be unable to see where growth was happening if we used an average growth rate.
#****Per-Capita analysis removes any analysis of population change
library(dplyr)
library(ggplot2)
library(rlang)##
## Attaching package: 'rlang'## The following objects are masked from 'package:purrr':
##
## %@%, as_function, flatten, flatten_chr, flatten_dbl, flatten_int,
## flatten_lgl, flatten_raw, invoke, splicelibrary(pwt8)
pwt8.0$cap <- pwt8.0$rgdpe / pwt8.0$pop
dta <- subset(pwt8.0, isocode %in% c("USA", "BEL", "AUT", "CYP", "EST", "FIN", "FRA", "DEU", "GRE", "IRL", "ITA", "LVA", "LTU", "LUX", "MLT", "NLD", "PRT","SVK", "SVN", "ESP"))
qplot(dta$year,dta[, 'cap'],geom = "line", group = dta$isocode,color = as.factor(dta$isocode)) + theme(legend.title = element_blank()) +scale_y_log10()## Warning: Removed 204 row(s) containing missing values (geom_path).
#Q8—————Chip Failure Problem– Test if manager’s claim is true.
#this is a ttest of a Poisson distribution where
#n= 900
#Phat = .54--sample proportion
#Null hypothesis is p=.54
#Alternative hypothesis is p=/=.54
# Z = .58-.54/[sqrt(.54(1-.54))/900]
z = 2.33
pval= 0.0099030530
#the Pval is less than the .002 level and so we can not support the managers claim.