1. Consider a population that has a normal distribution with mean \(\mu = 36\), standard deviation \(\sigma = 8\)

    1. The sampling distribution of \(\bar{X}\) for samples of size 200 will have what distribution, mean, and standard error?

    2. Use R to draw a random sample of size \(200\) from this population. Conduct EDA on your sample.

    3. Compute the bootstrap distribution for your sample mean, and note the bootstrap mean and standard error.

    4. Compare the bootstrap distribution to the theoretical sampling distribution by creating a table like Table 5.2.

    5. Repeat parts a-d for sample sizes of \(n = 50\) and \(n = 10\). Carefully describe your observations about the effects of sample size on the bootstrap distribution.


Your answers: x <-N(36,8)

  1. Xbar ~ N(36, 8/sqrt(200))

# Your code here
set.seed(13)
sample <- rnorm(200, 36, 8)
hist(sample)

xbar <- mean(sample)
sDxbar <- sd(sample)
# Your code here
N <- 10^4
bMean <- numeric(N)
for(i in 1: N) {
  bMean[i] <- mean(sample(sample, 200, replace = TRUE))
}
bMeanBar <- mean(bMean)
bMeanBar
[1] 35.87956
bsError <- sd(bMean)
bsError
[1] 0.5815149
hist(bMean)

# Your code here
smatrix <- matrix(data = c(30, 8, 36, 8/sqrt(200),xbar, sDxbar, bMeanBar, bsError), ncol = 2, byrow = TRUE)
dimnames(smatrix) <- list(c("pop","sampling","sample","bootstrap"), c("mean", "sd"))
knitr::kable(smatrix)
mean sd
pop 30.00000 8.0000000
sampling 36.00000 0.5656854
sample 35.87853 8.1760899
bootstrap 35.87956 0.5815149

Parts a-d for \(n = 10\):

  1. x <- N(36, 8) Xbar ~ N(36, 8/sqrt(10))

# Your code here
sample <- rnorm(10, 36, 8)
hist(sample)

xbar <- mean(sample)
sDxbar <- sd(sample)
# Your code here
set.seed(31)
N <- 10^4
bMean <- numeric(N)
for(i in 1: N) {
  bMean[i] <- mean(sample(sample, 10, replace = TRUE))
}
bMeanBar <- mean(bMean)
bMeanBar
[1] 39.06064
bsError <- sd(bMean)
bsError
[1] 3.000732
hist(bMean)

# Your code here
smatrix <- matrix(data = c(30, 8, 36, 8/sqrt(10),xbar, sDxbar, bMeanBar, bsError), ncol = 2, byrow = TRUE)
dimnames(smatrix) <- list(c("pop","sampling","sample","bootstrap"), c("mean", "sd"))
knitr::kable(smatrix)
mean sd
pop 30.00000 8.000000
sampling 36.00000 2.529822
sample 39.03270 9.960148
bootstrap 39.06064 3.000732

Parts a-d for \(n = 50\):

  1. X <- N(36, 8) Xbar ~ N(36, 8/sqrt(50))

# Your code here
set.seed(13)
sample <- rnorm(50, 36, 8)
hist(sample)

xbar <- mean(sample)
sDxbar <- sd(sample)
# Your code here
set.seed(31)
N <- 10^4
bMean <- numeric(N)
for(i in 1: N) {
  bMean[i] <- mean(sample(sample, 50, replace = TRUE))
}
bMeanBar <- mean(bMean)
bMeanBar
[1] 35.79678
bsError <- sd(bMean)
bsError
[1] 1.092309
hist(bMean)

# Your code here
smatrix <- matrix(data = c(30, 8, 36, 8/sqrt(50),xbar, sDxbar, bMeanBar, bsError), ncol = 2, byrow = TRUE)
dimnames(smatrix) <- list(c("pop","sampling","sample","bootstrap"), c("mean", "sd"))
knitr::kable(smatrix)
mean sd
pop 30.00000 8.000000
sampling 36.00000 1.131371
sample 35.78865 7.800473
bootstrap 35.79678 1.092309

Your Answer here.


  1. We investigirlsAte the bootstrap distribution of the median. Create random samples of size \(n\) for various \(n\) and bootstrap the median. Describe the bootstrap distribution. Change the sample sizes to 36 and 37; 200 and 201; 10,000 and 10,001. Note the similarities/dissimilarities, trends and so on. Why does the parity of the sample size matter?
set.seed(31)
even <- 14 
odd <- 15 

asa <- rnorm(even) 
aso <- rnorm(odd) 

N <- 10^4
evenBoot <- numeric(N) 
oddBoot <- numeric(N)
for (i in 1:N)
{
  xEven <- sample(asa, even, replace = TRUE)
  xOdd <- sample(aso, odd, replace = TRUE)
  evenBoot[i] <- median(xEven)
  oddBoot[i] <- median(xOdd)
}

Median <- c(evenBoot, oddBoot)
Parity <- rep(c("n = 14", "n = 15"), each = N)
DF <- data.frame(Median = Median, Parity = Parity)

ggplot(data = DF, aes(x = Median)) + 
  geom_histogram(fill = "red", color = "blue") + 
  theme_bw() + 
  facet_grid(Parity ~.)
Histograms of bootstrapped median values

Figure 1: Histograms of bootstrapped median values


set.seed(31)
# Your code here
set.seed(31)

even <- 36 
odd <- 37 

asa <- rnorm(even) 
aso <- rnorm(odd) 

N <- 10^4
evenBoot <- numeric(N) 
oddBoot <- numeric(N)
for (i in 1:N)
{
  xEven <- sample(asa, even, replace = TRUE)
  xOdd <- sample(aso, odd, replace = TRUE)
  evenBoot[i] <- median(xEven)
  oddBoot[i] <- median(xOdd)
}

Median <- c(evenBoot, oddBoot)
Parity <- rep(c("n = 14", "n = 15"), each = N)
DF <- data.frame(Median = Median, Parity = Parity)

ggplot(data = DF, aes(x = Median)) + 
  geom_histogram(fill = "red", color = "blue") + 
  theme_bw() + 
  facet_grid(Parity ~.)
Histograms of bootstrapped median values

Figure 2: Histograms of bootstrapped median values

set.seed(31)
# Your code here

even <- 200 
odd <- 201 

asa <- rnorm(even) 
aso <- rnorm(odd) 

N <- 10^4
evenBoot <- numeric(N) 
oddBoot <- numeric(N)
for (i in 1:N)
{
  xEven <- sample(asa, even, replace = TRUE)
  xOdd <- sample(aso, odd, replace = TRUE)
  evenBoot[i] <- median(xEven)
  oddBoot[i] <- median(xOdd)
}

Median <- c(evenBoot, oddBoot)
Parity <- rep(c("n = 14", "n = 15"), each = N)
DF <- data.frame(Median = Median, Parity = Parity)

ggplot(data = DF, aes(x = Median)) + 
  geom_histogram(fill = "red", color = "blue") + 
  theme_bw() + 
  facet_grid(Parity ~.)
Histograms of bootstrapped median values

Figure 3: Histograms of bootstrapped median values

set.seed(31)
# Your code here
even <- 10000 
odd <- 10001 

asa <- rnorm(even) 
aso <- rnorm(odd) 

N <- 10^4
evenBoot <- numeric(N) 
oddBoot <- numeric(N)
for (i in 1:N)
{
  xEven <- sample(asa, even, replace = TRUE)
  xOdd <- sample(aso, odd, replace = TRUE)
  evenBoot[i] <- median(xEven)
  oddBoot[i] <- median(xOdd)
}

Median <- c(evenBoot, oddBoot)
Parity <- rep(c("n = 14", "n = 15"), each = N)
DF <- data.frame(Median = Median, Parity = Parity)

ggplot(data = DF, aes(x = Median)) + 
  geom_histogram(fill = "red", color = "blue") + 
  theme_bw() + 
  facet_grid(Parity ~.)
Histograms of bootstrapped median values

Figure 4: Histograms of bootstrapped median values


Your answer: The parity of medians matter because even produces two you have to look at while the odd only produces one.


  1. Import the data from data set Bangladesh. In addition to arsenic concentrations for 271 wells, the data set contains cobalt and chlorine concentrations.

    1. Conduct EDA on the chlorine concentrations and describe the salient features.

    2. Bootstrap the mean.

    3. Find and interpret the 95% bootstrap percentile confidence interval.

    4. What is the bootstrap estimate of the bias? What fraction of the bootstrap standard error does it represent?

Bangladesh <- read.csv("http://www1.appstate.edu/~arnholta/Data/Bangladesh.csv")
head(Bangladesh)
  Arsenic Chlorine Cobalt
1    2400      6.2   0.42
2       6    116.0   0.45
3     904     14.8   0.63
4     321     35.9   0.68
5    1280     18.9   0.58
6     151      7.8   0.35

The Chlorine variable has some missing values. The following code will remove these entries:

chlorine <- subset(Bangladesh, select = Chlorine, subset = !is.na(Chlorine), drop = TRUE)

Your answers:

# Your code here
ggplot(data = data.frame(chlorine), aes(x = chlorine)) +
  geom_histogram(fill = "red", binwidth = 50)

mean(chlorine)
[1] 78.08401
sd(chlorine)
[1] 210.0192

The mean is 78.08401 and the standard deviation is 210.0192.

# Your code here
N <- 10^4
values <- numeric(N)
for(i in 1: N)
{
  values[i] <- mean(sample(chlorine, length(chlorine), replace = TRUE))
}
mean(values)
[1] 77.96584

The mean of the bootstrap is 77.96584.

# Your code here
confidence <- quantile(values, c(.05, .95))
confidence
      5%      95% 
58.29251 99.76554 
  1. The bootstrap bias is -0.1256101 which is within 9.146728618^{-5} of the standard error

  1. Consider Bangladesh chlorine (concentration). Bootstrap the trimmed mean (say, trim the upper and lower 25%) and compare your results with the usual mean (previous exercise).

Your answer:

# Your code here
N <- 10^4
trimMean <- numeric(N)
for(i in 1: N)
{
  trimMean[i] <- mean(sample(chlorine, length(chlorine), replace = TRUE), trim = .25)
}
mean(trimMean, trim = .25)
[1] 17.64606

The values are smaller because the top 25% and bottom 25% are removed from the data. This does make the estimate closer because the outliers are removed


  1. The data set FishMercury contains mercury levels (parts per million) for 30 fish caught in lakes in Minnesota.

    1. Create a histogram or boxplot of the data. What do you observe?

    2. Bootstrap the mean and record the bootstrap standard error and the 95% bootstrap percentile interval.

    3. Remove the outlier and bootstrap the mean of the remaining data. Record the bootstrap standard error and the 95% bootstrap percentile interval.

    4. What effect did removing the outlier have on the bootstrap distribution, in particular, the standard error?

FishMercury <- read.csv("http://www1.appstate.edu/~arnholta/Data/FishMercury.csv")
head(FishMercury)
  Mercury
1   1.870
2   0.160
3   0.088
4   0.160
5   0.145
6   0.099

Your answers:

# Your code here
x <- ggplot(FishMercury, aes(x=Mercury))
y <- ggplot(FishMercury, aes(x=Mercury,y=Mercury))

graph1 <- x + geom_histogram(aes(y = ..density..), fill = "red")+ geom_density(color = "purple", size = 1.75)


graph1 <- x + geom_histogram(aes(y = ..density..), fill = "red")+ geom_density(color = "purple", size = 1.75)
graph2 <- y + geom_boxplot() + coord_flip()

graph1

graph2

Answer to a the mean is 0.2013456 and the standard deviation is 0.3123153 Note that there is one value (1.87) very far removed from the rest of the values.

# Your code here
simulation = 10^4
bootMean <- numeric(simulation)
mFish <- FishMercury[,1]
for(i in 1:simulation){
  bootMean[i] <- mean(sample(mFish,length(mFish),replace=TRUE))
}

Confident <- quantile(bootMean, prob = c(.025, .975))

The Boot mean is 0.1527431 the Standard error 0.0575869 and a bias of -1.432435330^{-5}. The confident interval is 0.1078667 and 0.31009

# Your code here

fishN <- FishMercury[FishMercury < max(FishMercury)]
bootMeanN <- numeric(simulation)
for(i in 1:simulation){
  bootMeanN[i] <- mean(sample(fishN,length(fishN),replace=TRUE))
}
confidentNew <- quantile(bootMeanN,prob =c(.025,.975))

The new mean 0.1167368 the new Standard error 0.083184 the new confidence interval is 0.113 and 0.124594. d.

Removing the outlier changed our information. The mean reduced by 0.0043011%. The standard error decreased by 0.0078499%.


  1. In section 3.3, we performed a permutation test to determine if men and women consumed, on average, different amounts of hot wings.

    1. Bootstrap the difference in means and describe the bootstrap distribution.

    2. Find a 95% bootstrap percentile confidence interval for the difference of means and give a sentence interpreting this interval.

    3. How do the bootstrap and permutation distribution differ?


BeerWings <- read.csv("http://www1.appstate.edu/~arnholta/Data/Beerwings.csv")
head(BeerWings)
  ID Hotwings Beer Gender
1  1        4   24      F
2  2        5    0      F
3  3        5   12      F
4  4        6   12      F
5  5        7   12      F
6  6        7   12      F
femaleWings <- BeerWings %>% 
  filter(Gender == "F") %>% 
  select(Hotwings)
maleWings <- BeerWings %>% 
  filter(Gender == "M") %>% 
  select(Hotwings)
mean(maleWings$Hotwings)
[1] 14.53333

Your answers:

# Your code here
N <- 10^4
maleMeans <- numeric(N)
femaleMeans <- numeric(N)
for(i in 1: N)
{
  maleMeans[i] <- mean(sample(maleWings$Hotwings, length(maleWings$Hotwings), replace = TRUE))
  femaleMeans[i] <- mean(sample(femaleWings$Hotwings, length(femaleWings$Hotwings), replace = TRUE))
}
meansD <- mean(maleMeans) - mean(femaleMeans)
meansD
[1] 5.21402
# Your code here
sic <- quantile(maleMeans - femaleMeans, c(.04, .96))
sic
      4%      96% 
2.666667 7.800000 

I am 95% confident that the difference in the amount of wings falls between 2.545455 and 7.4767.

c.They differ by roughly -0.01567 wings.


  1. Import the data from Girls2004 (see Section 1.2).

    1. Perform some exploratory data analysis and obtain summary statistics on the weight of baby girls born in Wyoming and Arkansas (do seperate analyses for each state).

    2. Bootstrap the difference in means, plot the distribution, and give the summary statistics. Obtain a 95% bootstrap percentile confidence interval and interpret this interval.

    3. What is the bootstrap estimate of the bias? What fraction of the bootstrap standard error does it represent?

    4. Conduct a permutation test to calculate the difference in mean weights and state your conclusion?

    5. For what population(s), if any does this calculation hold? Explain?

Girls2004 <- read.csv("http://www1.appstate.edu/~arnholta/Data/Girls2004.csv")
head(Girls2004)
  ID State MothersAge Smoker Weight Gestation
1  1    WY      15-19     No   3085        40
2  2    WY      35-39     No   3515        39
3  3    WY      25-29     No   3775        40
4  4    WY      20-24     No   3265        39
5  5    WY      25-29     No   2970        40
6  6    WY      20-24     No   2850        38

Your answers:

# Your code here
# Part a.
girls<-Girls2004
group_by(girls,State) %>% 
  filter(State =="WY") %>% 
  summarize(mean(Weight))
# A tibble: 1 x 2
   State `mean(Weight)`
  <fctr>          <dbl>
1     WY         3207.9
group_by(girls,State) %>% 
  filter(State =="AK") %>% 
  summarize(mean(Weight))
# A tibble: 1 x 2
   State `mean(Weight)`
  <fctr>          <dbl>
1     AK        3516.35
# Your code here

girlsW <- girls %>% 
      group_by(State) %>% 
      filter(State=="WY")
girlsA <- girls %>% 
      group_by(State) %>% 
      filter(State =="AK")
difference <- mean(girlsA$Weight)- mean(girlsW$Weight)
oSd <- sd(girlsA$Weight) - sd(girlsW$Weight)
simulation <- 10^4
girlsWmeans <- numeric(simulation)
girlsAmeans <- numeric(simulation)
for(i in 1:simulation)
{
  girlsWmeans[i] <- mean(sample(girlsW$Weight,length(girlsW$Weight),replace=TRUE))
  girlsAmeans[i] <- mean(sample(girlsA$Weight, length(girlsA$Weight), replace = TRUE))
}
difference <- girlsAmeans - girlsWmeans
ggplot(data = data.frame(difference), aes(x = difference)) +
  geom_histogram()

boyDifference <- mean(difference)
boyDifference
[1] 309.1307
boySD <- sd(difference)
boySD
[1] 111.8932
conf <- quantile(difference,prob=c(.04,.96))
conf
     4%     96% 
112.445 502.885 

I am 95% confident that the weight difference in mean is between 110.235 and 503.237.

# Your code here
bias <- boyDifference - difference
bias
    [1]   55.0806675   14.8306675  102.6306675   72.0806675  163.9056675
    [6]   18.0806675  101.3556675   76.1306675   32.1556675  126.9056675
   [11]  -59.4193325 -129.5943325  106.2306675   65.6056675  118.0556675
   [16]   -7.8693325  149.0556675  100.8556675   83.2556675   96.0556675
   [21]   35.6806675 -108.1443325  100.7306675  142.1556675  102.0806675
   [26]   57.2056675   33.6806675  259.9056675   43.5056675   61.4306675
   [31] -250.4443325  137.7556675  108.6306675 -124.2443325 -107.1443325
   [36]  -37.3193325    8.7056675  103.4556675    3.5806675  -42.4193325
   [41]  153.7056675 -108.0943325  356.0806675  116.2306675  -77.2193325
   [46]  -42.0693325  -69.3443325   21.8556675   68.4306675  -27.6443325
   [51]   79.5056675  -98.2193325   40.6306675 -110.9693325  -75.6443325
   [56]   -1.0443325    9.5556675  -25.8193325  -81.5193325   68.7806675
   [61]   24.0056675  142.4556675  -58.6693325   46.0806675   93.3556675
   [66]  -56.6193325    9.0806675   43.1556675  -17.7943325   48.6556675
   [71] -122.1693325   83.4306675   41.2806675   18.9306675  -47.1943325
   [76]  -69.8193325  -12.9443325   90.8056675   78.1306675   25.8056675
   [81]   33.6056675 -123.4193325  -56.6693325 -177.0193325  197.4056675
   [86]   21.9056675  -28.6443325  102.0556675   63.4556675 -269.4193325
   [91]  186.2556675    1.1556675   70.2306675 -157.7693325 -202.1693325
   [96]   34.7056675 -248.1693325 -109.1193325  164.9306675  217.6556675
  [101] -115.9943325    8.6056675 -111.9943325 -134.4693325  181.2306675
  [106]  -11.0193325 -163.9943325 -116.6693325  -63.9693325  -65.8693325
  [111]  -71.9193325  -16.2193325  -42.8443325 -175.6193325  -71.9443325
  [116]  181.6556675  126.0556675  -23.6193325   33.6556675 -167.8943325
  [121]   -8.9943325   14.1306675  161.5806675   49.0056675 -259.8943325
  [126]  -55.9943325    0.6056675 -125.3693325 -131.8443325   34.4806675
  [131]  157.1806675  -52.1193325   19.4556675   32.7306675  131.3056675
  [136]  -76.4443325 -173.1693325   51.7056675 -128.0193325 -139.1943325
  [141]  -97.8193325  -27.4193325  211.2806675  -60.4443325  104.0306675
  [146]  -64.6443325   21.3306675   98.4806675  141.0306675   69.4556675
  [151]  -57.8693325 -116.7443325   54.7556675   30.0056675  -62.3443325
  [156] -170.1943325 -273.8693325   56.0056675 -158.3693325  -45.9193325
  [161]   24.4556675  169.0806675  -39.8693325   31.9556675  -16.6443325
  [166] -162.5943325  -30.1693325  -73.5193325   96.0556675 -174.0193325
  [171] -139.3443325  -30.9193325 -139.0943325  -83.5443325   28.0306675
  [176]   82.6306675    7.6056675  173.8806675  -33.5443325  159.1306675
  [181] -122.8693325 -106.4943325    0.9556675 -152.4943325   87.7806675
  [186]   23.6306675  158.6056675   55.7306675  -38.5193325   60.4306675
  [191]   68.2056675  -82.6443325   -5.4443325  -59.5693325  -49.7693325
  [196]  -92.9193325  136.3056675    8.4556675   19.2056675  -65.2943325
  [201]   87.1056675  142.5556675  109.8056675   63.4806675 -162.3443325
  [206] -286.7443325 -157.7193325 -116.4943325   12.1556675   45.6056675
  [211]  103.8056675 -138.6693325   31.1306675   70.1306675  108.3306675
  [216] -201.8443325 -101.5943325  160.6556675  387.0056675  106.8556675
  [221]  -98.4443325   18.9806675  -57.6943325  163.2556675  138.7556675
  [226]   54.2556675  -95.1693325 -108.5193325  -74.3193325   92.9556675
  [231]   10.5556675  170.5556675  178.5806675  100.2306675  -42.1443325
  [236]  -37.1943325  112.2556675  254.1556675   91.6806675 -212.6943325
  [241] -338.0193325  -37.3193325  -59.3943325   35.2056675  -59.5943325
  [246]  175.3056675 -103.5443325   35.9306675  -81.1943325   24.0306675
  [251]   15.7306675 -156.8443325   74.5806675   50.1556675   75.8806675
  [256]  -51.0443325 -104.1943325  -79.3443325 -214.1943325 -174.9943325
  [261]  -69.2443325  -70.6193325  -73.5193325   34.7806675   99.0556675
  [266]   26.7556675 -287.3193325  -76.6943325  175.0306675  -34.8443325
  [271]  -26.8693325  -97.5943325  222.1056675  -99.8943325   86.0306675
  [276]   13.9306675  170.5306675   25.1306675  155.4056675   63.8056675
  [281]   22.6556675  129.9806675   85.8056675   20.7556675 -241.1193325
  [286]   -0.8943325   56.7306675   -6.0443325  -16.2943325 -192.5193325
  [291]   39.5056675   55.6306675 -178.1193325   76.2806675  -86.2443325
  [296]   34.7056675   34.7806675  229.3056675   92.0806675 -135.9693325
  [301]   35.1556675   -0.8193325  -30.8943325  -68.6693325    3.7556675
  [306]  -34.9193325  -10.7693325   23.6556675 -117.8443325  134.1056675
  [311] -104.9443325  -15.2443325  -79.1443325  -87.2693325   93.4306675
  [316]   40.1806675  -76.8443325  -46.4943325 -156.8193325  -19.3943325
  [321]   56.6806675   44.9306675 -189.2943325   13.6806675   61.2806675
  [326]  134.1306675  188.5556675  -44.0193325 -108.9193325   89.4056675
  [331]   92.0306675   20.3056675  220.1556675    5.0806675  140.2306675
  [336]   34.9306675  -37.9693325  -13.8193325  -95.4193325   -8.2193325
  [341] -325.0443325   43.6556675   64.5806675   77.5306675  -13.2943325
  [346]   68.6306675 -153.9943325   62.1556675  -96.6443325  148.2806675
  [351]  -16.2443325  103.1306675  -52.3943325  158.1306675 -128.9693325
  [356]  100.8806675 -205.9443325    8.6306675   26.0056675   38.9556675
  [361]   25.1806675  121.9306675  197.1556675  181.9806675   58.3806675
  [366]   27.0806675  -12.5943325   61.2556675  -20.5193325  -72.2943325
  [371]   -5.4193325  -52.3443325 -221.1443325   57.6806675 -198.3443325
  [376]   49.8556675  156.4056675  -28.0193325  -41.2193325 -119.3443325
  [381]  -32.2943325 -121.6943325 -120.9943325  103.2556675   51.8056675
  [386]  -75.9693325   56.4556675   92.7306675   77.2806675 -139.0193325
  [391] -101.9193325   67.0306675  -29.0693325  -45.2943325  -71.0943325
  [396] -135.0193325   85.1556675   -5.1443325  178.4056675    5.2556675
  [401] -119.9943325  -85.3693325   10.9806675  -11.6693325   45.8556675
  [406]   22.2556675  139.2056675 -247.5943325 -184.5443325   21.8306675
  [411]  -59.6193325  127.2056675   26.6306675   93.4306675  127.7056675
  [416] -119.0443325  -28.1193325 -161.3943325   30.6806675  -27.8943325
  [421] -151.9943325   73.4806675  156.0806675   65.6806675   49.4306675
  [426]    6.2806675   -7.2443325 -173.8693325   96.5556675 -101.2443325
  [431]  180.3556675    1.6056675   77.9306675   67.7306675 -166.0693325
  [436]  112.1306675   47.0556675 -106.2193325  -68.8443325  273.8056675
  [441] -171.7443325   94.4056675   43.8056675   57.3806675 -249.1943325
  [446]   16.2806675   -5.5443325  189.8056675  152.1806675   62.6556675
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  [456]  -89.0193325  -88.9943325  -34.6443325  117.3556675   61.5556675
  [461]  -40.1943325 -103.1443325 -150.2943325  -52.7943325   88.0556675
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  [476]   63.8806675 -249.8693325 -182.6443325   -0.3943325 -118.7943325
  [481]   59.1056675   11.8306675  -88.4443325   92.9056675   53.7806675
  [486]   54.2056675 -188.7943325   69.7556675  116.3806675  150.9806675
  [491] -155.9943325  -84.1693325 -105.6943325  -29.5943325 -148.3943325
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  [511]  -39.4443325   19.4806675   95.1056675  136.0306675  -45.1193325
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  [526]    8.3806675  -62.2943325  189.6806675  209.1056675   22.2806675
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  [536]   65.4556675 -143.0193325  -24.9193325   15.8806675   11.3806675
  [541]   60.9306675  101.9056675  134.9806675  113.7056675 -116.0943325
  [546] -192.5193325   52.0056675  153.3556675  -84.0943325  -19.5193325
  [551]    1.4556675  -78.2943325  -97.1193325  188.2556675  -60.2193325
  [556]   89.7306675   90.4306675 -119.1943325  -88.6443325  -59.0193325
  [561]   86.7556675  101.3306675   60.0306675  -52.4943325 -153.0193325
  [566]  -42.5693325  -96.7943325   -6.4443325  -73.3943325 -216.9443325
  [571] -100.2443325   89.2806675   98.3056675  156.4306675  126.5556675
  [576]  133.9306675 -133.6693325  189.1556675  -19.6443325  -67.7443325
  [581]  -68.2193325   97.2556675  -41.9943325   83.6806675    1.6056675
  [586]   84.6056675   51.3806675   61.5806675    2.7306675 -170.6693325
  [591]   29.0556675   76.6556675   73.3806675  -40.1943325    3.7306675
  [596]  140.9306675  192.9806675  -94.8193325 -110.1693325   10.1056675
  [601]   18.1806675 -201.5193325  273.6806675  -10.6693325   39.8556675
  [606]  199.9306675  -84.5943325   31.7806675   21.6056675   91.9056675
  [611]  124.2806675 -207.1193325 -133.9193325  -63.3943325    1.5056675
  [616]   16.7556675  -75.2193325   27.2806675   36.8306675  -69.0193325
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  [626]   80.1806675  205.4556675  161.6056675  -74.6943325    8.7806675
  [631]  -25.6943325 -155.4193325   81.9056675  237.1556675   -1.2193325
  [636]   54.2306675  114.3056675 -170.5443325   -2.7193325   43.0806675
  [641]   73.0806675   69.4556675 -175.4193325   21.7556675 -174.4943325
  [646]  104.5306675   85.4056675   44.1806675  124.2306675    1.9056675
  [651]  -45.5693325 -132.1193325   54.5306675 -108.4193325  -27.4443325
  [656] -194.4943325  -60.8693325   42.2306675  -81.6193325   59.8556675
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  [666]  -96.4693325  139.0806675   31.8056675  -79.8443325   -3.4693325
  [671]  -94.8943325  -99.3193325  -40.6443325   62.9056675 -130.6943325
  [676]  226.7056675  -76.2943325    3.1806675  -80.4193325 -187.2443325
  [681]    0.5556675  108.0806675   34.6056675 -227.0943325  -90.0693325
  [686]  -42.4693325 -116.4443325   80.7056675  135.5306675  -38.6693325
  [691]  160.1556675  -67.7193325  -68.9943325   67.4056675 -247.5693325
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  [706]  -92.4943325    2.5306675  -36.5693325   31.0306675    0.4806675
  [711]   14.8306675  -54.9443325  -46.6693325  161.1806675  115.1556675
  [716]   21.8306675 -134.1693325   -1.6943325   26.2806675 -100.4693325
  [721]    9.7056675  168.2556675  -43.9193325 -143.4443325  -15.2693325
  [726]   36.0556675   69.9806675   66.0056675   -0.8193325   14.7806675
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  [736]  146.0056675   83.8806675 -172.0443325  237.9556675 -181.8193325
  [741] -241.4443325   73.8806675  -28.8693325  -59.0443325  119.7806675
  [746] -128.4943325  -70.0693325  -99.0443325   35.3556675  -98.2193325
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  [756]   -7.7443325   14.5056675  110.6306675  103.6806675 -264.4693325
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  [766] -107.2943325  210.6556675  -70.7443325   39.9556675   46.2806675
  [771]  114.4056675 -154.4943325   75.6556675   12.2056675   55.5556675
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  [786]   98.7556675   74.1056675  151.9806675   80.3806675   21.5306675
  [791] -136.6443325  122.7056675  -56.7943325 -106.5193325  -64.2193325
  [796]   32.2056675  -15.2443325   38.0056675   95.7056675 -129.4943325
  [801]   -7.3193325  -38.3193325   17.4806675   69.5056675 -149.7943325
  [806] -166.3943325 -109.4443325  -75.6693325   61.9306675   38.9306675
  [811]  109.7556675  -98.0443325  -94.9193325  -72.5943325   99.1306675
  [816]   83.0806675  -86.2443325  120.9056675   61.6556675 -154.3693325
  [821]  195.8056675  -48.4443325 -129.4943325  -24.8693325  100.8306675
  [826]   14.5806675  -38.9193325   79.8556675 -162.8943325  -51.9193325
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  [836]   14.7806675  149.9306675  220.2556675 -203.2193325  -76.7193325
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  [846]  -41.3693325    5.2556675 -114.2443325 -155.8693325  -99.5443325
  [851] -158.3193325  149.5056675   57.0556675  -81.1693325   12.3556675
  [856]  -68.2943325   16.7056675  100.3556675  125.9556675   21.9306675
  [861]   69.1806675   39.4806675 -142.0193325  -16.4693325   44.8306675
  [866]  -63.6193325 -113.4943325  186.5806675  -53.0443325   89.1556675
  [871]   94.7556675  188.7306675   68.7306675  -58.4943325 -163.6943325
  [876]  -52.4443325   95.9806675   28.0806675  -25.2443325   82.1056675
  [881]   52.8806675  -37.8443325  -40.2943325   70.1306675  -25.5943325
  [886]  -21.6693325  106.6806675  147.5556675 -104.5443325 -142.3943325
  [891]  225.2556675  -98.9693325   15.3556675   94.6556675  231.4056675
  [896]  -78.1443325 -154.4193325  -89.1943325   60.5556675 -170.3443325
  [901]  135.6306675   52.7806675   98.3556675  -98.4943325  -58.6943325
  [906] -102.6943325   42.1306675  -25.7443325    6.2556675   88.5806675
  [911]   63.1306675   34.8556675  -78.8693325   30.4806675  126.1056675
  [916]  -69.3443325 -198.5693325    3.8306675  -79.1443325  -70.5943325
  [921]  -42.6693325   14.9556675   89.6556675  -64.4943325  -53.7193325
  [926]  196.9806675  -64.1443325    8.1056675  174.0056675  189.9306675
  [931]   51.5806675  -16.0943325   87.3306675 -105.5443325 -133.5193325
  [936]   47.5556675 -117.1193325   16.7056675   74.5806675   14.6306675
  [941]  -83.4443325   60.7056675  -43.5193325 -265.0193325   -5.1693325
  [946]  152.2806675   83.8806675  233.3556675  -66.6693325  188.3056675
  [951] -114.8193325   99.6806675  -98.0443325  -44.4193325  141.4556675
  [956]  -38.7943325   58.0806675 -134.4693325  -14.3443325   92.6056675
  [961] -104.3693325  -19.3943325   23.4306675 -264.9443325 -120.9693325
  [966]   82.5806675 -112.7693325 -269.3693325   10.4556675  119.3806675
  [971]  185.0056675 -249.3443325   32.9556675 -157.0193325   45.8306675
  [976]   19.0306675  145.3806675   18.0056675  -65.7693325   64.0056675
  [981]   81.0056675 -113.8193325   -8.4693325   68.9056675  253.2306675
  [986] -222.9193325  -39.0693325    1.7306675 -286.1943325    2.6056675
  [991]   98.1306675   33.9306675   95.6806675  -58.6943325   27.7056675
  [996]  280.4556675   33.0556675   85.8806675  214.7806675 -159.6693325
 [1001]  224.0556675  -31.5193325  132.8056675   40.4806675   15.1556675
 [1006]  -31.6693325  154.6056675  102.6556675  177.4556675  145.7306675
 [1011]   -8.3943325 -159.3193325  -40.4943325  -39.8193325   63.0306675
 [1016]   39.3306675  -43.5943325   58.2306675   75.9056675   10.1806675
 [1021] -102.2943325  -58.9693325   96.8806675 -139.7443325 -210.7943325
 [1026]  -52.9443325    6.9306675  125.7306675  189.7806675  -37.0443325
 [1031]  -50.6693325  114.0056675 -214.1693325  -34.9693325  109.1556675
 [1036]  116.7806675  -30.1193325   77.9806675 -249.1943325  -72.5193325
 [1041]  107.3806675  118.4556675  -52.6693325  -52.1443325   17.3806675
 [1046]   27.1056675   89.3806675  -37.4693325  -88.6943325 -110.9443325
 [1051] -107.1943325   28.3306675  109.2806675  -79.1193325  150.0556675
 [1056]   17.7806675  -48.7693325 -101.5693325 -113.6693325   59.6806675
 [1061]    9.6556675 -244.0943325  210.9806675   45.7306675   -8.0443325
 [1066]   83.2806675   37.9806675   98.0306675  -48.6693325 -185.1193325
 [1071]  269.4556675   64.6056675  -65.5693325  -57.8443325    0.2306675
 [1076]  -74.4443325   72.7056675   16.9306675 -140.0193325  -31.3443325
 [1081]  166.7056675  -41.4693325  140.7306675  -62.2943325   -2.6943325
 [1086] -133.7443325   46.1056675 -153.1943325   23.1556675  164.8556675
 [1091]  -11.9443325   24.8556675  -39.2943325 -142.2443325   77.2806675
 [1096] -158.0443325   59.7556675  -28.4693325   86.0806675   59.1556675
 [1101]  -93.5193325  131.4556675   85.5056675 -198.4693325   59.1556675
 [1106]  107.5306675 -139.0943325   19.3056675   59.2056675 -151.1943325
 [1111]   42.3556675  -88.1693325  153.3556675   11.8306675 -193.3943325
 [1116]   56.5556675  -30.1193325 -140.8693325 -118.3193325   -3.7693325
 [1121] -117.9693325   88.8306675   67.7806675  100.9306675   46.4556675
 [1126]  -46.3943325   71.8306675  175.6556675   50.5056675 -127.4943325
 [1131] -121.8193325   71.6806675  127.4556675   -3.8193325  182.9306675
 [1136]  202.8056675   20.0056675  -15.0693325   69.1556675   13.8556675
 [1141]  -41.2693325  -35.9693325   19.4556675   45.5556675 -102.8443325
 [1146]  -50.6693325  -94.1943325    3.5556675  -76.9943325  118.1056675
 [1151]   84.7306675   94.8556675  167.8056675   52.1806675  -24.5693325
 [1156]  -68.1693325  -37.6943325 -156.7443325   95.6556675   93.5056675
 [1161]   -4.8693325  -60.4693325 -129.3943325  -92.3943325   73.8306675
 [1166]   68.0806675  -36.8193325  -54.7193325 -209.8943325  135.9556675
 [1171]  102.5056675   79.8556675  -65.3693325  -36.0943325   51.0806675
 [1176]   68.2306675   65.8556675   42.1306675   76.4306675   38.7056675
 [1181]  -67.5193325  -69.7943325  -57.9943325 -225.0943325 -249.3193325
 [1186]  -34.0193325  150.4306675  -42.2693325  167.5306675 -207.3193325
 [1191] -109.9443325   54.0806675   49.2556675   75.7306675  162.9306675
 [1196]   -0.3193325  -56.0693325  -35.4193325   75.2806675   29.7306675
 [1201]   51.8806675  145.0306675   13.3056675 -183.9943325   -7.4943325
 [1206]   47.1806675  -46.9943325 -103.1943325  215.4056675   89.4806675
 [1211]   64.0806675  179.1306675  201.3306675  -50.0693325   22.0556675
 [1216]  175.5056675  -42.1943325   22.1306675   81.3306675   27.1306675
 [1221] -114.4943325  101.5306675 -288.7693325  151.5556675 -117.2943325
 [1226] -168.1693325 -141.4443325  112.1556675 -146.4193325 -118.1443325
 [1231]  161.1556675   78.4556675  -20.7193325 -231.9943325 -251.5443325
 [1236]  -12.7193325  -93.1943325  132.0306675  110.0556675  -60.5443325
 [1241]  -54.0693325  127.2306675  -15.7693325   -4.7693325 -208.6693325
 [1246]  -82.7693325   60.0556675 -174.8693325  -47.1693325 -177.6443325
 [1251]   17.7556675 -230.8193325 -131.9943325   45.4556675  171.7806675
 [1256]  -48.5443325    3.2806675  125.7056675  -25.0943325   95.4556675
 [1261]  167.9056675  143.1806675   42.8806675  -65.8193325   30.6556675
 [1266]   66.7056675  226.3306675   33.9056675 -118.9443325  176.0806675
 [1271] -140.7443325  -47.6693325 -175.4443325  -98.7443325  104.9306675
 [1276]   92.2806675  215.0556675 -194.1443325  -17.8693325   -8.2943325
 [1281]  -84.2943325  128.0556675   -4.2943325   32.6306675  198.2556675
 [1286]  -88.5943325   72.7556675 -111.6943325  241.8806675  157.5306675
 [1291] -217.9193325   -5.8943325   52.9056675   63.8556675   37.1056675
 [1296]  -90.6193325  -90.5443325 -282.1193325  -36.0693325 -172.4193325
 [1301]  -78.1943325   84.1306675  -47.7193325   86.2556675 -219.4443325
 [1306]   13.6556675  423.1306675  -85.5693325 -138.8443325 -187.2943325
 [1311]  121.1056675 -116.6943325  -62.2693325   95.9306675 -137.9943325
 [1316]   47.1556675 -109.1193325    0.8556675 -182.9693325   70.6806675
 [1321]   13.3556675   84.0306675  -26.8693325    5.5806675   94.1056675
 [1326]  -35.0943325  -36.3943325   17.5806675  185.2556675   93.5556675
 [1331]   19.5806675  -58.7193325  104.7056675  138.3056675   10.8056675
 [1336]   35.9556675  -80.8193325  -98.5943325 -103.9693325 -105.6943325
 [1341]   57.0056675  -89.8693325  141.3806675  161.4056675  171.1306675
 [1346] -220.0693325   62.8056675   51.8306675  -95.6193325  197.7306675
 [1351]  110.7056675 -143.7443325   63.6806675  -41.5943325   24.7056675
 [1356]  -72.5943325   32.5806675  -41.9943325 -117.0693325   46.0306675
 [1361]   14.5306675 -253.1193325  -62.6193325  -13.6943325   79.3306675
 [1366]  -84.3693325  128.4306675   65.0556675  183.6806675   26.4056675
 [1371]  -88.8443325   31.3556675  -49.5193325   51.3806675  -29.1443325
 [1376] -167.0193325   96.3056675  -51.5943325  -23.0693325  186.3556675
 [1381]    6.0556675  -35.8193325  -10.8943325 -243.5443325  -50.1193325
 [1386]   -5.5443325  -60.7443325  -18.5943325   37.1806675  -61.6443325
 [1391] -100.7443325  147.8806675  -61.1943325  229.3806675   27.7806675
 [1396]   28.3806675   -0.5943325   26.1806675   71.2806675  105.9556675
 [1401]   79.2056675  -83.5443325   10.6306675  -38.6943325   80.2556675
 [1406]  -92.7943325  -47.6193325   96.1556675  -59.3193325  174.5056675
 [1411] -141.4193325  155.4556675  -38.8443325  -83.6443325  104.7556675
 [1416]  -83.1693325  -82.7693325  129.9056675  -51.8193325  136.1556675
 [1421] -134.1943325 -141.2443325    6.7806675  -13.4693325   98.4556675
 [1426]   50.2806675 -249.7693325   89.1806675  182.2056675  -69.7693325
 [1431]  225.5056675   26.3806675   95.9806675  114.8056675  165.4056675
 [1436]   14.9556675  -38.4193325   98.8056675  -99.3193325  -94.4193325
 [1441] -268.5693325  221.1056675  -52.3693325  -53.6443325   56.5806675
 [1446]   13.3806675  -41.3443325 -125.5943325  -13.9693325 -155.4693325
 [1451]  -61.9943325  -50.5193325  208.9306675   89.3306675  -14.8193325
 [1456]   86.9806675  190.5806675   45.8806675  159.7806675  -51.7693325
 [1461]   10.6306675  -37.4943325  -78.8443325 -117.7693325  222.1556675
 [1466]  231.0806675   74.0306675  123.3056675  -37.8693325  -36.1443325
 [1471]  -42.6693325 -173.3193325  -45.8943325 -160.2443325  156.0806675
 [1476]   58.6056675  -74.5193325  -92.3443325   51.7556675  244.2556675
 [1481] -130.0693325  208.3806675 -136.9693325   46.0556675   40.7306675
 [1486]  201.0306675   -3.4443325  -51.3443325   -2.4693325   49.6806675
 [1491]   54.4306675 -144.6443325 -155.4443325  -91.9693325  -91.7443325
 [1496]  -69.4693325  129.9556675  -57.4443325   86.5056675 -118.6193325
 [1501]   19.6056675   69.3806675  -27.5943325   -8.9443325 -117.1193325
 [1506]   72.4806675 -144.1693325  -78.8693325  -11.5943325  258.7306675
 [1511]  103.9056675   32.5556675  -58.3443325  104.6306675   17.8556675
 [1516]  -25.8443325  161.7806675  170.9556675   21.1056675 -163.4693325
 [1521] -160.1443325  142.8306675  -67.0443325 -132.3193325  -92.7443325
 [1526]  -14.2693325  -39.8443325   10.8056675 -106.5443325  111.4056675
 [1531]   82.7056675   15.5056675  216.6056675  -79.5943325   -5.8693325
 [1536]   68.4556675   87.2556675  148.4556675 -185.4193325  -99.0193325
 [1541]   36.4056675  188.3306675   -5.6443325  -15.6943325 -146.8193325
 [1546]   76.7056675  -62.6443325   53.7806675  -50.9693325   96.9306675
 [1551]   37.9306675 -107.3943325   76.2556675  156.6306675   12.5556675
 [1556] -184.2193325  -43.7693325  -95.9443325  -63.4443325  -45.7693325
 [1561] -102.0693325  -47.6943325 -111.6193325  -37.1443325  220.0306675
 [1566] -224.3443325   60.5806675  -27.8193325  -34.5693325   22.8306675
 [1571]  102.0556675  -30.2693325 -115.1193325 -155.8193325  -63.5943325
 [1576]   27.2056675 -126.1193325   80.8306675   10.4806675 -232.8193325
 [1581]  174.7556675  -18.3693325  -92.9193325  -35.4193325  -16.1193325
 [1586]  -51.6943325 -198.8193325  -71.8943325   -2.3943325  -70.8193325
 [1591]  133.4306675   77.5806675  -91.7693325   45.4306675 -117.0943325
 [1596]  -29.3693325 -237.3943325  114.3556675  121.8056675  -52.7693325
 [1601]   23.1806675  -51.6193325   -5.7943325  -76.1943325 -135.8443325
 [1606]  -58.2443325   59.6056675  119.5556675   25.8056675  146.4806675
 [1611]  -26.9943325  -27.0193325  172.9806675   80.5056675  -39.4943325
 [1616] -245.1693325  319.6056675   21.6806675  -48.4443325  -87.0193325
 [1621]   25.5556675  171.8806675   27.7056675   11.0556675  134.1056675
 [1626]  -29.8443325   -3.2193325  124.1306675  147.8056675   -1.1943325
 [1631] -258.3443325  -74.4693325 -217.9443325   47.1056675 -154.7193325
 [1636]  -42.1943325  152.0556675 -105.0943325   11.3806675  -67.4943325
 [1641] -132.1943325 -108.5693325 -327.0443325   35.9556675   73.3806675
 [1646]   23.3306675  -46.9193325  172.1056675  106.5806675   52.4806675
 [1651] -108.5443325  -62.1443325  -46.7443325  171.6556675  -60.6693325
 [1656]  197.5056675 -168.9693325    7.4806675   81.0556675 -183.9943325
 [1661] -204.7193325    5.5306675  240.5306675  -58.7693325  -82.2943325
 [1666]   96.7806675   -6.7943325  -75.6943325 -212.6193325   56.2056675
 [1671]  -43.0693325   26.7806675    2.2306675  -48.0693325  157.9056675
 [1676]   46.0306675   90.8306675 -200.9693325   43.4556675 -208.6943325
 [1681]   -0.1193325   43.8056675 -133.6193325 -123.7443325   54.2806675
 [1686]  200.8056675    0.2556675   94.1306675   -2.2193325    9.8056675
 [1691] -105.2193325   99.6306675   46.4806675  -52.4443325  282.0806675
 [1696]   42.6056675   -1.6943325  172.5306675   -0.0193325 -113.2443325
 [1701]  149.6556675   91.9806675   62.3056675   50.4306675   66.3306675
 [1706]   97.3306675  198.2556675  152.7806675  -84.8943325   26.6556675
 [1711]  -98.6943325   87.6056675    6.6806675  -65.1943325    6.9556675
 [1716] -122.3193325   12.2056675   95.2306675 -346.5443325  158.0556675
 [1721]  226.8306675   34.9806675  -84.6943325   45.7806675  -12.8693325
 [1726]   31.0806675 -267.2693325   23.2306675   81.3806675   35.9056675
 [1731]  -45.2193325  -15.1693325 -187.0443325   54.5056675   -0.6943325
 [1736]   85.4306675  -40.2193325  -96.2443325   20.6306675 -107.9443325
 [1741]  -51.9443325  224.7056675   71.6056675  -44.0943325   63.0556675
 [1746]   25.3806675  141.5056675 -219.6693325   27.4056675 -219.0943325
 [1751]   66.8556675 -144.4943325  -30.0193325  -24.9943325  -56.6443325
 [1756]   83.9056675 -126.6693325  -81.2443325 -223.8693325  104.6056675
 [1761]  -82.3443325  -15.5943325  121.1556675  118.2306675  -24.1443325
 [1766]   73.0306675  -83.9693325  -16.1443325   16.8556675  -95.4193325
 [1771] -239.7443325  370.9306675 -127.1193325  167.1056675 -128.2443325
 [1776] -106.1193325  -42.4193325   10.1556675   50.1806675    5.4556675
 [1781] -126.2443325   52.7556675  140.6806675   68.0806675   58.1306675
 [1786]   50.5306675  -30.7443325 -220.7193325  148.8806675   10.6056675
 [1791]   -5.5943325 -101.5693325 -212.1193325 -313.1443325 -221.5693325
 [1796]  241.7306675   57.5056675   47.0306675 -110.7693325  110.6556675
 [1801]  -33.1943325  -85.9943325  268.2056675  127.3056675   23.1556675
 [1806]   13.6806675  -46.9443325   31.9806675 -135.5193325   18.9556675
 [1811]   83.5306675  -90.5693325  117.4056675  -62.4943325 -126.0693325
 [1816]   23.1056675  -68.3443325   45.1056675   50.8056675   48.4056675
 [1821]  143.1806675 -134.4443325  240.1306675  -12.1193325  130.5556675
 [1826]   93.0056675   94.1306675  -36.3193325   95.6056675   84.7056675
 [1831]   42.9806675  -25.6443325  -81.2193325  -80.6693325  -54.6443325
 [1836]   51.6556675  -14.4693325  156.7056675  -21.8193325    0.8056675
 [1841]  -53.5943325  -26.5943325  161.0806675 -105.2193325   -0.4693325
 [1846]  137.3806675  -18.9193325   78.7556675   96.6556675 -113.1443325
 [1851] -171.7193325   26.0556675  184.0806675  149.2056675   23.9556675
 [1856]   15.4306675   17.7556675   14.1056675  -49.9443325   -8.4193325
 [1861]  -83.2693325  101.2806675 -137.7693325  -74.4443325  116.4056675
 [1866]   61.8806675  -84.6443325   35.7056675  196.0806675   27.8056675
 [1871]  -27.4443325   52.9306675  139.1806675 -153.0193325 -118.1193325
 [1876]   55.6806675 -119.1443325   68.5556675  -79.8943325  -37.5443325
 [1881] -151.8443325  -11.8693325  -42.6193325   34.6556675  -54.7943325
 [1886]  176.7556675   58.8556675  140.9806675   -4.3193325 -211.6443325
 [1891]    0.7056675 -194.4193325  125.1306675   31.6056675  104.8556675
 [1896]  -57.2193325  -23.5193325   29.5556675 -119.7193325  -23.9443325
 [1901]  -14.3443325   80.5556675 -156.0693325  -87.6693325 -147.8443325
 [1906]  -65.9443325 -141.1193325   12.5306675 -209.6193325 -142.8193325
 [1911] -105.2443325   42.7306675  143.3556675  186.2806675  137.0556675
 [1916] -118.8943325  131.8556675 -109.7193325   11.9556675  -38.2693325
 [1921]  -56.5193325 -133.2443325   99.9806675  182.7056675  -59.6443325
 [1926]   43.7056675   -2.6193325 -110.3693325  -98.9193325 -258.3693325
 [1931]   77.3806675  -53.3943325 -184.5943325  169.2056675  -58.0193325
 [1936]  -87.8443325  -53.5193325   58.9306675  151.6306675  227.8556675
 [1941] -130.0443325   75.3556675   63.1806675  -41.8193325 -121.8943325
 [1946]   43.5306675    6.3306675  -66.3443325   32.3306675 -112.3193325
 [1951]    2.6806675  -50.4443325  182.1056675   62.1306675 -288.5693325
 [1956]  -62.2943325  276.0056675 -159.9193325   25.7306675 -223.2443325
 [1961]  -27.5693325 -309.7943325  -29.8693325  136.7806675  -10.6693325
 [1966] -291.7693325   78.8806675  -80.7693325  -28.0943325 -105.8693325
 [1971]    2.4806675  -50.9943325   76.7306675  -89.9693325  -45.2193325
 [1976]  -51.4693325 -126.5943325  -52.7693325  190.9056675   33.6306675
 [1981]   57.4556675  -14.3443325  -65.6193325   93.1056675  127.7806675
 [1986]  -33.8443325  -85.3193325   -9.7943325  -15.4193325  -60.2943325
 [1991] -119.2943325  151.9306675  -10.1193325  -88.0443325 -119.0443325
 [1996]   69.6056675 -150.2693325 -107.8693325  -30.7693325 -153.9443325
 [2001]   -1.8693325  -28.1693325 -166.1443325  132.0056675 -183.0693325
 [2006]  167.7306675 -115.4693325   67.5556675 -100.0693325   73.9806675
 [2011] -229.1693325 -168.9693325 -116.6193325  154.8056675 -143.8943325
 [2016]   92.0806675 -280.4693325 -153.7693325  301.8306675  -72.4943325
 [2021]  -58.9443325 -170.9693325   -1.3193325  128.1556675  -23.3693325
 [2026]  -70.9943325  254.3306675  115.4056675  124.2056675   -0.6693325
 [2031] -110.2193325  -16.5443325  -24.1693325    5.3556675    3.6056675
 [2036]   80.0056675  157.5806675   65.4306675   16.4806675  -72.3193325
 [2041]  -11.1943325  -38.7443325   38.7056675  -10.6443325   -4.5443325
 [2046]  -86.4693325  -44.4943325  115.4056675   41.0056675  -33.7443325
 [2051]   93.7556675  -16.4693325 -115.8943325 -108.0943325  218.3806675
 [2056]  -21.1693325  -14.2193325  177.8556675  -16.8193325  145.7056675
 [2061] -127.3193325 -106.8943325   71.1806675  100.1056675   66.1056675
 [2066] -125.1693325  123.5306675  266.2806675 -131.0943325 -112.4943325
 [2071] -150.7693325   22.2556675  -23.0193325 -101.2193325   84.8306675
 [2076] -204.0193325   20.8556675  116.7056675  -36.7693325  -20.8693325
 [2081] -257.8443325  -53.2943325   90.6056675  -66.3443325   36.8556675
 [2086] -129.3943325  219.0556675  116.5056675   12.0056675  -13.5693325
 [2091]  -35.0943325   21.5306675  -38.3193325  157.8556675 -142.8443325
 [2096]   -8.9193325  103.1306675   96.7556675 -108.9193325 -145.3693325
 [2101]  -38.8693325   85.5306675  -13.1443325 -113.8443325   29.4806675
 [2106]  151.0556675  -22.8693325   15.8556675   76.7306675   -5.3943325
 [2111]   94.8056675 -115.1443325   11.7806675 -166.9193325 -150.4693325
 [2116]  -39.9443325 -162.5193325  -80.6693325   -1.6693325    3.5556675
 [2121]   11.3806675 -146.4943325   99.6056675  125.2556675 -251.3443325
 [2126]  180.5306675   16.4806675  -98.4443325   86.6806675  -12.2193325
 [2131]   28.6806675   -2.1693325  136.8806675 -183.1693325   48.8306675
 [2136]  115.9806675  -57.7693325 -166.5943325 -171.0443325   54.9306675
 [2141] -148.3193325   25.2056675   57.5806675  -15.2693325  -91.5693325
 [2146]  -47.2693325   61.9056675   57.2056675  -63.4943325  -22.3443325
 [2151]  -47.0943325   48.5056675   73.6556675  113.6056675 -187.3193325
 [2156]   89.9056675  206.6306675  -70.1193325  -18.1693325  -90.5443325
 [2161]  107.2056675   37.2056675 -130.1693325    7.9556675  129.4806675
 [2166]    1.1306675  -44.9193325  -15.7693325   85.5306675   36.5556675
 [2171] -207.3443325 -211.3693325 -125.0943325 -161.6943325 -188.7193325
 [2176]   99.7306675   10.4056675   69.9306675  113.6556675    6.0556675
 [2181] -265.6693325  -71.7193325   67.0806675   55.2056675   27.5806675
 [2186]  172.4306675  -76.7443325  -48.6193325  123.6056675  -70.3693325
 [2191] -136.1693325  -74.8443325   65.4056675   62.9056675   26.8806675
 [2196]  104.5556675  -95.6693325  -13.6193325   65.9306675    2.1056675
 [2201]  156.1806675   81.9556675  -15.0193325 -100.8693325  -68.6443325
 [2206]  -48.8943325   67.6556675  -47.6193325   90.8556675 -136.3943325
 [2211] -113.9443325   74.7806675   73.8556675   -8.4693325 -131.3443325
 [2216]  -89.0693325  145.1556675   85.0556675  -58.2443325 -103.6943325
 [2221]  207.7806675   11.5306675   33.0556675 -155.4193325  -84.6693325
 [2226]    4.8306675   10.5556675  -69.9693325   29.6056675 -126.3693325
 [2231] -105.2193325    4.2806675  208.4306675  -32.8693325  269.2556675
 [2236]  102.5556675  208.2556675  -76.9693325  -51.7693325  111.0306675
 [2241]  -30.1943325   -5.2193325   44.8556675   64.8806675  152.4056675
 [2246]   96.4306675   13.8556675  251.2056675   94.1806675  100.7306675
 [2251]  -16.7693325  154.9306675    4.8556675  -13.4943325   42.8556675
 [2256]  -11.9443325   77.6806675  -33.8443325    4.3806675  -36.8193325
 [2261]  -50.1443325   -0.6443325   77.4056675  -61.0443325   73.0056675
 [2266]  -90.8943325  -50.1943325   97.7056675   86.3306675   93.7556675
 [2271]   61.5306675  180.7056675 -199.0693325   63.9056675  -66.7943325
 [2276]  -23.8693325  120.4556675  154.6306675  -53.3693325  -34.0693325
 [2281] -200.4443325   58.3556675  -68.0693325   14.5306675    2.2556675
 [2286]   91.1556675   11.8056675  -83.9193325 -231.2443325  -58.8193325
 [2291] -209.2443325  230.7306675   -3.3693325 -196.0943325  153.1556675
 [2296]  -85.2693325  128.1806675   29.5056675  -64.2193325   40.1556675
 [2301]    4.1806675  161.5556675 -176.1943325  -63.6443325   13.9806675
 [2306]  138.2556675  224.8556675   -2.7443325   93.6306675 -174.7443325
 [2311]  117.6556675   -3.0693325  159.4806675  -15.4943325  -11.6193325
 [2316] -170.1443325   99.2806675   34.7556675  -85.7443325   21.7806675
 [2321]  -50.8943325  -90.2693325  -96.4693325 -163.7693325  183.2556675
 [2326]   29.4056675  185.0556675   91.6556675   18.3806675    7.7056675
 [2331]   69.6806675  233.0306675  -73.9443325  -52.6443325  -57.3693325
 [2336]  -46.8693325  -21.7443325  225.4806675   64.0306675  129.2556675
 [2341]  -13.1443325  131.1806675 -204.6943325 -122.6943325  -87.7443325
 [2346]  205.3306675  -83.6193325   57.8806675 -149.5193325  -84.9693325
 [2351]   -0.5193325 -148.9443325  -85.7443325 -227.1943325  -78.1193325
 [2356]  157.9806675   37.4556675 -105.4693325 -123.7193325  -47.0693325
 [2361]    6.6056675  -62.0193325   52.5306675  -65.2193325  -66.7193325
 [2366]  260.0806675 -246.6193325 -184.5443325   14.5806675  -13.3443325
 [2371]  -91.4943325 -328.4443325  -86.7693325 -114.1693325  -78.2693325
 [2376]  195.1806675 -115.4943325   51.4056675 -117.3693325 -163.9943325
 [2381] -168.9443325  127.6806675   11.4556675  -11.5693325    5.7056675
 [2386]  -24.4443325 -120.6193325  -73.6943325  148.4806675 -101.0193325
 [2391] -117.8443325  126.8806675 -144.7943325   48.6306675   79.2306675
 [2396]  -92.4943325 -194.7193325   97.2556675  244.9306675    2.9556675
 [2401] -201.1193325   12.9806675   75.1056675   17.5056675  153.5306675
 [2406]  100.3556675 -137.7693325   -6.0943325  -38.7943325   19.7556675
 [2411]    5.5306675  142.0056675 -146.5693325   81.9306675 -154.2443325
 [2416]  -72.4943325 -100.9693325  -69.1943325   27.3556675  116.0306675
 [2421]  -65.8693325   36.2806675  -70.8193325   30.0556675  -58.2193325
 [2426]   63.5056675  -33.2193325 -204.1193325 -153.0443325 -164.5943325
 [2431]   76.7806675   39.8056675   91.5806675  -76.0693325  170.2806675
 [2436]  -31.7693325 -175.3443325 -110.4443325   -0.1443325   30.6806675
 [2441]  126.0306675  -71.8693325  -72.1193325  187.7056675  -83.3943325
 [2446]  172.0306675 -136.5443325  124.3306675   54.2556675   30.9306675
 [2451]   98.5556675  128.5556675   -0.0943325 -205.6193325    7.6306675
 [2456]  133.5306675   14.8306675 -143.9193325   67.0806675  158.6806675
 [2461]  134.3806675 -157.7693325  -59.5943325  -31.6443325  -34.1443325
 [2466]   95.7556675  -21.0693325   38.0306675   68.0306675  -78.5943325
 [2471]   71.0806675 -113.8693325 -215.6443325   49.0556675   68.0306675
 [2476]   90.8806675 -299.7443325 -192.3693325  -24.0943325   23.3056675
 [2481]  -43.7443325   34.4306675  123.1056675 -185.9943325   -8.2943325
 [2486] -162.5193325  203.3806675  113.4056675 -129.4443325  -11.6693325
 [2491]   20.8806675 -106.0943325   18.6806675   72.6806675   39.2056675
 [2496] -135.4943325  -20.4693325   40.8056675 -182.5943325   36.8056675
 [2501]   66.4056675 -118.1443325  -84.6443325 -170.3693325   17.3056675
 [2506]  -43.7193325  146.6056675   37.9306675  -46.4943325  -80.2193325
 [2511] -112.5693325  121.5806675  174.4556675 -133.7943325   31.3556675
 [2516]  -65.3943325 -191.4693325  -90.7943325  192.8806675   31.5556675
 [2521]  -38.0943325   25.2306675 -140.5943325 -118.4693325  -12.2193325
 [2526]  194.0306675 -151.2943325 -221.7443325  -10.7943325   -6.6443325
 [2531]  -37.8693325 -144.1693325  -20.3443325   72.1556675   93.7306675
 [2536]  137.8306675   40.9056675   55.0306675  -71.1693325  -17.7193325
 [2541]  -24.2943325 -105.6193325   48.4056675  -70.9943325 -124.2193325
 [2546] -203.9443325  100.8306675  219.4306675  -61.2693325    7.4556675
 [2551]  291.6056675  114.6556675  118.1306675   12.1056675  -98.5693325
 [2556]   63.4556675 -123.3443325   31.5306675   61.4806675  198.5306675
 [2561]   74.8056675   11.0806675 -197.8943325   15.2806675  -93.7443325
 [2566]   68.2306675  -99.4443325 -113.7693325  -65.1443325 -122.2193325
 [2571]  110.1806675  -73.2693325  221.0056675   -6.7943325 -223.6943325
 [2576]  112.6556675  -67.3443325   17.3306675  100.5306675  -58.2443325
 [2581]   13.0056675   91.5806675  -96.9443325 -123.0943325   59.6556675
 [2586]   95.6806675  -96.3693325 -111.7443325  -63.4443325  113.8306675
 [2591]  138.1306675  -78.4693325 -119.5693325  -89.7443325 -118.3943325
 [2596]   18.6056675 -116.4943325  -23.3193325  -25.2193325    7.7806675
 [2601]   -7.1693325   19.4556675  -13.1193325 -104.4943325   49.6556675
 [2606]  -13.0693325 -145.2943325 -123.1443325   18.7056675  -21.3693325
 [2611]  241.1806675  -36.5443325  -39.9443325   44.3306675   82.4556675
 [2616] -145.4443325   40.3806675   48.4556675  106.4806675  198.0306675
 [2621]   -3.6193325   75.8306675   58.6306675  -40.8443325 -189.7943325
 [2626]  219.8306675  188.0556675  116.0056675 -174.6693325  -72.4443325
 [2631]    7.2056675  -54.3693325   63.0056675   21.5306675 -114.2943325
 [2636]  -55.2693325   77.7306675  295.1306675   29.5806675  101.2306675
 [2641]  -44.9193325 -127.1943325   16.4806675  -94.4943325 -203.3443325
 [2646] -156.3443325   86.0306675 -112.1193325   42.6056675  129.0056675
 [2651] -118.8943325  182.5056675  -15.1443325   52.5556675  113.7056675
 [2656]   37.5806675  -44.9943325  -91.3193325    5.6806675  165.0556675
 [2661]   11.8556675 -226.6443325  -71.7943325  -55.6943325  160.3306675
 [2666] -103.3943325   49.3806675   94.6556675 -146.7943325 -194.3193325
 [2671] -270.6693325   16.0806675 -176.4193325    0.3056675   36.2306675
 [2676]  242.5056675 -101.3943325   66.9056675 -103.5693325   56.3556675
 [2681]  119.8806675 -219.7443325   43.8556675   68.1806675  126.3556675
 [2686]   88.2806675  179.6056675 -248.1693325  144.9806675  202.5306675
 [2691]   37.7056675   38.1806675 -104.8193325  -20.7943325  132.4056675
 [2696]   55.1306675   96.9306675   -8.6443325   71.1556675  -45.4943325
 [2701]  -44.5443325  245.4556675 -201.0193325  -54.0693325  136.7306675
 [2706]   97.7306675  203.4056675 -231.3443325 -118.5193325   34.3056675
 [2711]   49.6556675  -51.0943325  -21.7193325   77.8806675 -192.7693325
 [2716]  272.5306675   -5.2193325  -35.7443325 -242.5193325    7.9056675
 [2721]  -20.4193325  -80.3443325   70.3806675  -95.9193325   -4.9943325
 [2726]   16.3806675    4.8806675 -220.9193325  -85.2443325  -23.7943325
 [2731]  -91.6443325  -34.8943325  152.1306675  219.9556675 -105.5443325
 [2736]  -28.3443325  -42.4443325  105.1806675   29.5556675  -80.7443325
 [2741]  133.5806675 -123.6193325   50.9056675  145.7556675   16.3306675
 [2746]  157.3556675 -157.3693325   -5.8193325   -6.7943325  -71.8193325
 [2751] -102.2193325    6.2306675  -57.1443325  -56.8443325  108.9556675
 [2756]  164.3556675   92.8056675   34.1806675   70.5306675   80.1306675
 [2761]   79.5806675  -99.3693325   11.7056675  -80.5943325  -22.3693325
 [2766]  108.9306675  100.0806675  170.0306675  130.7056675 -118.9443325
 [2771]   28.7556675   18.6306675  126.0056675  151.7556675  133.5556675
 [2776]  -80.2693325 -197.0693325  130.3306675  241.6806675  -85.5193325
 [2781] -187.3443325   10.5806675   54.1306675  140.1556675 -105.2193325
 [2786]  -73.8693325  -87.5443325  -44.2443325  265.9806675  -30.5693325
 [2791] -178.8693325  -10.5443325   48.0056675  101.2056675  -38.4693325
 [2796]   38.2806675   36.5056675  -36.4943325  -13.1693325  -99.8443325
 [2801]  -82.9443325  191.3056675    3.9306675 -101.6193325  129.8806675
 [2806]   -8.4693325  -21.6943325  -59.8193325 -184.5693325 -126.1693325
 [2811]   52.3556675   97.3556675   73.9306675   26.1306675   95.5306675
 [2816]  124.8306675  -83.0193325  180.6806675  -21.6943325  -20.6693325
 [2821]   94.4806675 -184.9193325 -226.2693325  -21.3693325 -167.1193325
 [2826]   59.8806675  -65.3943325   88.3056675  -70.1443325  -68.7193325
 [2831]  189.5306675  -23.6943325   22.0806675  261.7056675   55.1056675
 [2836]  133.8806675 -157.7443325 -139.2693325  171.3556675  -42.6193325
 [2841]  -40.7693325  -24.1443325  -43.3193325  187.2056675   78.9056675
 [2846]   97.3556675  233.0556675   67.8556675  -10.1443325  -23.2193325
 [2851]  -58.2943325  104.5056675   36.2556675  -66.7443325 -120.8693325
 [2856]  -68.8943325   33.2056675   -6.1693325   78.5806675   48.9306675
 [2861] -238.7693325  -20.8443325 -158.2943325   76.4056675  -59.3443325
 [2866]  -11.4693325 -105.7943325   25.6306675  -18.6193325   27.1306675
 [2871]   47.8306675   41.4806675 -111.2943325    2.9306675   22.6556675
 [2876]  101.4806675   18.2806675  103.3306675  -83.5943325   33.7056675
 [2881]  170.0306675   69.3306675  -88.8193325    2.9056675 -113.0693325
 [2886]   98.1556675   32.7556675  -34.1193325  -86.7443325  174.3556675
 [2891]  -47.3693325   11.3056675   32.8556675   61.7806675  -55.6193325
 [2896] -136.4693325  -58.5193325  -60.5443325  -77.0443325 -244.3193325
 [2901]  -22.3193325  -13.2443325   32.5806675   -6.1693325  -59.7193325
 [2906]   24.8556675 -241.5943325   27.7556675  -81.8943325    4.2306675
 [2911]  -53.3943325 -187.3193325   76.5806675   82.0556675   60.3056675
 [2916]    3.8556675 -102.9943325   46.5806675   33.0306675   52.5056675
 [2921]   -2.7193325  -11.7693325  -16.3443325   13.2806675   40.7806675
 [2926]  -52.7193325  131.7306675  114.0556675 -133.5443325   23.3306675
 [2931]   30.6806675  -95.6693325   32.9806675  -88.4943325   66.7806675
 [2936]  -70.0193325 -163.9693325  175.4056675  101.7306675   46.9556675
 [2941]  -82.6693325   28.3056675  132.6556675 -113.0693325  113.6306675
 [2946]   90.6556675 -266.2943325  -91.2943325  -38.5193325 -112.0693325
 [2951]   33.1306675  210.3056675  224.7056675   -9.1693325  113.5806675
 [2956]  -79.6193325  -23.6193325  134.3306675   70.6806675  -48.9943325
 [2961]   25.1306675   70.0556675    2.5056675  -37.0693325  149.7056675
 [2966]  -48.8943325   54.4056675   46.0056675 -136.6193325 -177.4943325
 [2971]   63.9056675   23.7556675 -102.5443325   46.8806675  162.0556675
 [2976]   41.6056675   18.8306675  267.7556675   92.0806675  144.6056675
 [2981]  -28.9193325 -166.6693325 -101.6943325  -48.4193325 -143.2693325
 [2986]  188.5306675  -39.7693325   57.6806675   59.4306675  119.4306675
 [2991]   89.0556675  -75.3193325  -35.8693325  -11.9693325   76.6556675
 [2996]  -39.6443325  -81.2193325 -103.8693325 -139.1443325 -168.7193325
 [3001]  166.0806675   57.4806675  -74.8193325  159.4056675  -74.3443325
 [3006]  -92.9943325  -45.5693325  179.4306675 -138.5943325  -59.2943325
 [3011] -125.5443325  153.9056675   34.1556675  138.1556675  220.3806675
 [3016]  -27.2693325   72.6806675  -97.0943325  165.3306675  -83.5943325
 [3021]  181.9556675   83.4056675  -96.8193325   -2.5193325  -49.4693325
 [3026]  124.5806675  -87.9693325  -42.0443325  -12.5943325  -66.0943325
 [3031]  247.5556675   34.3806675   75.7556675  -94.6693325  172.4556675
 [3036]  -66.9443325 -126.4193325  -36.4693325   -6.1193325   35.7806675
 [3041]   33.9806675  152.8806675  144.1306675   93.0806675  -63.6943325
 [3046]  212.9056675  -68.2193325  -34.0443325  110.2556675  -67.5443325
 [3051]  -68.4693325  152.2306675 -103.6693325 -164.7693325   63.0806675
 [3056]  102.5556675  -80.2943325  -71.5443325 -158.4193325  -46.5943325
 [3061]   19.7806675 -132.9443325    5.7806675   82.0306675   56.9306675
 [3066]   42.3306675  322.6056675   -0.1943325   24.1556675  129.5556675
 [3071]  -44.4943325 -122.9193325   87.2556675   -1.5193325  100.2806675
 [3076]  -80.3443325 -235.3443325  -12.7443325   75.3806675 -215.1693325
 [3081]  -90.1943325  -74.4943325  -71.2193325  -67.2443325 -117.3693325
 [3086]   89.7806675  -28.2693325   28.8556675   57.7306675 -168.3943325
 [3091]   10.5806675    6.1306675  -12.4443325  190.4056675  153.3056675
 [3096]   88.9806675  117.6806675  102.1556675   33.1556675   -4.6693325
 [3101]   55.9306675  -22.5193325   21.6056675  -68.2693325  -22.5193325
 [3106]  -52.2443325 -115.1443325   41.8806675  -24.8693325  111.9306675
 [3111] -194.5193325 -165.6443325  -18.4693325  -50.4193325   69.1806675
 [3116]   31.7306675   23.8306675  105.6556675  103.2306675 -128.4943325
 [3121]   51.5306675   37.2056675   82.9056675  192.4056675   22.9306675
 [3126]  279.8056675   96.7056675 -188.8943325 -149.1693325   34.0056675
 [3131]   60.1556675   98.7556675   66.7556675 -222.4443325   44.9556675
 [3136]   52.9556675 -139.0693325  162.7806675    0.0056675   12.1056675
 [3141]  146.3056675  -27.5443325 -170.5443325  -11.3193325 -152.0693325
 [3146]  103.3306675 -204.1193325  109.8056675   25.2306675 -175.8443325
 [3151] -139.4193325   29.8556675  -70.7443325 -129.5693325   17.4306675
 [3156]   70.6556675   40.1556675   77.3306675  -23.8193325  -61.5693325
 [3161]   19.5556675 -116.1693325   69.0056675 -160.1193325 -147.8443325
 [3166]  -81.1943325  -15.5443325  140.1306675  174.7556675  105.1306675
 [3171]  145.8306675  144.2556675  -70.5693325  175.6806675  146.0306675
 [3176] -146.7943325 -161.0193325  -20.1193325   91.4056675 -134.5443325
 [3181]  -32.1943325   75.0556675   38.4306675 -275.7693325    8.7306675
 [3186]   18.4056675   35.5556675  -67.9443325  128.3806675   19.8056675
 [3191]  101.9056675   87.3806675  -35.4193325  -17.1443325    6.2806675
 [3196]  256.7806675   61.2306675   84.0806675  173.6056675 -166.0943325
 [3201]  -67.2693325  -87.3693325  105.4806675    0.8306675  -53.2193325
 [3206]  205.6306675  -78.5693325  -51.3443325  185.8306675  -74.8693325
 [3211]   96.7806675   40.9806675  -83.6443325   78.9056675 -112.1193325
 [3216]  -79.4443325  146.5056675  -16.7943325  262.6306675  -47.0193325
 [3221]  -32.9193325 -158.3693325   56.3556675  -96.2693325 -200.1943325
 [3226]  112.3306675  -39.0193325 -137.0443325  -17.9443325   -5.2693325
 [3231]  119.4806675   -7.9193325  -85.6693325  158.7056675   46.6556675
 [3236]   28.5806675 -209.9943325    9.7556675 -111.0443325  -48.1943325
 [3241]   17.2556675 -264.0193325   34.9806675   27.2556675   11.8056675
 [3246]  112.4306675   19.4806675  215.0056675   17.8056675  166.9056675
 [3251]   86.6056675   16.8056675  -69.8443325   67.2556675  231.1056675
 [3256]  -15.2443325   98.3806675  -68.6443325   73.3306675  -81.9193325
 [3261]   37.8056675  -81.3693325   57.3556675  177.9556675   20.8056675
 [3266]  174.2306675 -111.1693325   16.0806675   54.3556675  311.2056675
 [3271]  -44.5693325   73.3556675   33.5806675  -77.2193325   82.3306675
 [3276]  150.1806675  -50.9693325    6.7556675  -10.6693325  113.2056675
 [3281]   -1.0443325   18.8306675   -2.8443325  -21.8443325  208.8306675
 [3286]  107.7056675 -167.4693325   23.1556675 -288.7693325  -85.1693325
 [3291]  134.8056675   -2.7443325  120.3806675  -97.6943325   -9.2443325
 [3296] -230.8943325    6.9806675   61.9306675  147.4056675  -33.5193325
 [3301]  -23.7943325   -5.4443325  -22.0693325  136.0556675 -207.7193325
 [3306]   79.4306675  -75.2193325  172.6556675  107.7306675  -83.3193325
 [3311]   80.5306675   26.0056675  -47.1693325 -116.3193325  -32.3693325
 [3316]   -2.7193325  160.8306675 -195.4693325 -110.2693325  -29.1193325
 [3321]  -93.0693325 -213.5693325  131.2556675   32.7806675   14.8806675
 [3326]  -47.8693325  -35.1193325   71.3806675   72.4556675  112.9806675
 [3331]  -82.8443325  -39.4193325  127.6806675  185.9806675   34.7556675
 [3336]  -11.3443325  118.0306675   97.3056675  -96.7193325  211.8056675
 [3341]  -14.5443325   -2.8443325  -41.4443325  -71.1443325 -106.3943325
 [3346]   32.1556675  -65.0693325   68.9556675  -73.1443325   70.6556675
 [3351]   56.5306675   91.7556675  165.9056675  186.0056675   60.8306675
 [3356]  -87.7193325   58.1306675  -46.1443325   -4.0943325  -72.1693325
 [3361]  -25.1443325  -24.8443325    2.6056675 -111.9943325  -40.7693325
 [3366]  124.1556675  217.8556675   21.8556675   24.4556675  -29.5943325
 [3371]  -88.4693325   76.9556675   10.7306675 -131.6943325  -80.2693325
 [3376]  -55.5943325  -76.4943325   52.6556675   73.9306675    1.9306675
 [3381]  125.5806675   88.8306675   38.2306675 -135.8193325  -26.0693325
 [3386]  -11.7193325  -88.7943325  -50.4693325  -24.5443325  114.3556675
 [3391]  -73.4443325   30.8806675  -90.2193325   19.3806675 -117.2943325
 [3396]   52.7306675 -207.7193325  -44.0193325  -63.9693325  -68.4443325
 [3401] -177.6943325   50.8556675  -20.4943325  102.8056675   87.2556675
 [3406]   98.3306675   59.7556675  128.1306675  -54.4693325   58.9056675
 [3411]   44.3056675   53.6556675 -152.9943325  108.7306675  233.2306675
 [3416]  -45.6193325  169.6556675  138.8306675  -47.7443325   54.7556675
 [3421]  125.0556675 -259.2443325  -64.0193325  -89.7443325  -44.1693325
 [3426]  130.9306675   33.9806675  111.2306675  -61.5693325  -73.0943325
 [3431]  227.3306675  154.5056675  165.4806675   25.6056675  102.5306675
 [3436]   52.2556675  -35.5693325  -72.6193325 -176.3193325   66.4306675
 [3441]  -17.9943325 -279.2443325  284.1806675 -125.2193325   42.6806675
 [3446]   64.5556675   49.9306675 -107.0443325   96.4056675 -172.4193325
 [3451]  126.3556675   11.5056675   86.3056675   -2.5193325   66.5556675
 [3456]  -55.0443325  -24.1443325  -83.7943325  241.4806675   41.2306675
 [3461]  -91.5943325  -31.6193325 -135.0443325   52.8556675  145.8306675
 [3466] -128.1693325   52.0806675    1.3306675   93.4556675  -35.7943325
 [3471]  163.7806675  -58.1943325  312.0056675 -187.7943325 -287.7693325
 [3476]   68.2306675  -55.3443325   46.3056675   40.1306675    6.8056675
 [3481]   11.4806675   41.4306675 -123.0693325 -126.9443325   66.0806675
 [3486]   32.9806675   23.3556675   49.2306675   30.2806675   58.7056675
 [3491]   -4.5193325   98.5056675  173.9556675  -66.8443325   80.0306675
 [3496]  -88.7693325   70.7056675  -50.7443325   52.0556675 -133.5443325
 [3501]   35.7806675   -7.2193325  269.6306675   32.3056675  -30.9693325
 [3506]  -28.1693325   82.8806675   85.3306675  -11.0443325  -12.1943325
 [3511]  -30.0943325    1.5556675  -59.9193325  225.8556675  -67.4443325
 [3516]  245.0556675   -1.0693325 -115.3443325   51.0306675   62.7306675
 [3521] -143.2193325   65.5306675  161.4806675 -128.6193325  -99.5693325
 [3526]   22.8806675    2.8806675  -22.9443325 -187.0693325  260.1306675
 [3531]  -56.9193325  -12.6943325 -118.5943325  -28.4193325   35.5056675
 [3536]    9.4306675 -199.4693325  219.8306675  103.6556675  -68.0443325
 [3541]  -96.2443325  195.5556675  -64.2693325 -179.9193325  109.0806675
 [3546]   73.3556675 -124.9943325   60.1556675   78.9556675 -160.7443325
 [3551]  133.7306675  -33.7943325   14.1306675    9.8056675   79.8556675
 [3556] -234.7443325 -190.0443325  181.8556675  -40.0193325   27.2056675
 [3561]   65.5306675   57.2806675  -91.6943325  254.3806675   38.6556675
 [3566]  149.2056675   80.8056675  233.7806675 -153.4943325 -159.7943325
 [3571]   -9.1443325 -160.3693325 -149.9943325    5.3806675  197.0306675
 [3576] -126.8443325  -71.8693325  157.7056675   69.6056675   15.1556675
 [3581]  -53.7193325  -60.4443325  176.0556675   27.7306675  -96.0693325
 [3586]  -55.3693325 -130.2943325  103.6056675   43.8806675  -60.7193325
 [3591] -128.3943325  -44.5443325  117.8306675 -134.9193325   79.6056675
 [3596]  -38.1693325  -20.2193325   66.5056675   -3.2943325  -13.7193325
 [3601]  120.3306675 -134.4943325 -163.0943325  175.6556675  -30.6693325
 [3606] -138.2693325  208.5306675  117.7556675  150.5056675    4.1806675
 [3611]  -23.2693325 -110.3443325 -104.3693325  -35.0443325  120.5056675
 [3616]    5.1556675   28.5806675  -41.4193325 -171.3443325 -154.4193325
 [3621]  -93.8693325  167.4556675 -157.0693325   67.9806675  -71.9193325
 [3626] -202.6693325 -126.3443325  121.8306675  -31.8443325   45.7056675
 [3631]  186.0806675 -128.7443325  286.3806675 -108.0943325 -133.3443325
 [3636]  115.2056675  -75.2193325 -172.9443325   45.8556675   30.8556675
 [3641]  -33.6193325  115.5556675  -75.9193325  -23.4693325  131.7806675
 [3646]   13.7056675  120.3056675   80.7056675  147.4556675 -102.2693325
 [3651]  101.7806675 -216.0193325 -185.3693325   -5.4943325 -184.6193325
 [3656]  -56.8943325  184.4306675  -90.0193325  -63.4193325   23.4556675
 [3661]  -25.3443325  -55.6193325  183.3056675 -184.7693325   25.6556675
 [3666]  -30.3693325  -90.4693325   56.0306675  -14.4943325  117.2806675
 [3671] -180.1943325  -72.2193325 -101.6943325    5.4056675   13.0806675
 [3676]  -48.6943325    2.9306675 -133.1193325    5.3056675  120.4056675
 [3681] -198.6693325    0.6806675  -83.7943325  -30.1193325   -3.7693325
 [3686]  118.9306675 -252.9943325  -11.4443325  148.3056675  373.4306675
 [3691]   76.2556675 -188.8443325   75.9556675  -33.6443325    6.2056675
 [3696]  -22.7443325  -20.6943325  114.9056675  -22.9693325    0.6056675
 [3701] -128.6193325  -82.3443325 -107.0443325  -56.5943325  -72.1943325
 [3706]  -50.6193325   71.0556675   51.0306675  145.2306675  -95.8943325
 [3711]   96.7556675   91.2806675 -105.4193325 -125.0693325  -19.8943325
 [3716]  172.1306675 -142.2193325  -90.7943325  -88.2693325   99.7306675
 [3721]   71.2556675   63.1056675    1.2806675 -169.2193325   65.5556675
 [3726]  -42.6693325  202.2306675  217.6806675    4.4806675   47.3306675
 [3731]   15.9056675   98.1556675   80.4806675 -146.6443325   72.9556675
 [3736]   -7.0443325 -209.4943325   91.2556675  -82.8943325  -21.1943325
 [3741]   96.5556675  -41.1443325 -100.7693325  -84.0693325  220.4056675
 [3746]   25.9056675  -78.3943325   -2.4443325  134.4806675  -64.1943325
 [3751]   -4.8943325 -139.3443325 -181.2693325 -117.2943325  171.8556675
 [3756]   76.3306675   68.7056675 -128.9443325  103.9556675  186.2556675
 [3761]  -45.2943325 -195.8693325  296.9306675  -99.5693325  130.7806675
 [3766]   59.2556675 -132.5193325  -79.4443325  120.5556675 -131.2943325
 [3771] -120.1943325  -65.5943325   97.1306675  -82.2443325   -3.1693325
 [3776]    9.2056675  102.5056675   56.1306675 -170.5693325 -272.4693325
 [3781]    9.6306675   63.9056675 -127.6193325   82.2556675  -91.8693325
 [3786]   37.3056675 -233.5193325 -116.9193325   20.9056675   -9.5193325
 [3791] -269.2943325  -68.7943325  231.6806675  -35.6943325  139.1056675
 [3796]  -30.9443325   63.8306675  197.5556675  -92.9193325 -164.9193325
 [3801]    1.1306675 -176.5943325   10.5556675  131.7556675 -251.7943325
 [3806]  -59.7943325 -131.7443325   74.6056675  174.5306675   26.4306675
 [3811]  110.7806675  136.9306675  -14.1943325  -34.0693325  166.9056675
 [3816]  -79.8443325   93.2556675   95.0556675   44.1556675  278.4056675
 [3821]  117.2306675  -21.8193325 -207.0943325  -91.1693325   17.0056675
 [3826]    9.8306675  -22.1693325  -28.8443325  -22.6193325  145.8056675
 [3831]  -27.3943325  -69.8193325 -136.9693325   82.5306675  123.1306675
 [3836]  168.8806675   89.1306675  175.0306675   38.1056675 -155.4443325
 [3841] -124.4443325  166.2306675  106.1056675  -42.1943325  120.7056675
 [3846]  293.3056675    8.5556675   67.7556675   21.1056675  -64.3193325
 [3851]   64.4306675  102.2556675  351.8806675 -150.7193325  -48.7443325
 [3856] -162.1443325  228.7306675   65.6056675   88.4806675  237.8306675
 [3861] -108.9443325 -211.1943325  126.6056675  184.8556675  141.0556675
 [3866]  -12.0193325   -4.8193325 -212.3693325  -67.1443325   28.2306675
 [3871]   53.2306675  207.2056675   66.2056675  -35.4943325  226.2306675
 [3876]  102.6806675  124.7056675 -218.3693325 -160.2693325   51.4556675
 [3881] -110.0943325  -21.0693325   24.1556675 -119.7943325   -1.2443325
 [3886]  236.6806675   42.0806675  -66.4193325  153.4556675   62.6806675
 [3891] -119.8693325   76.5306675    7.2056675   51.8806675 -105.1443325
 [3896]   82.1056675  -37.9193325  -64.9943325   40.4306675   36.2556675
 [3901]  113.0556675   45.6556675  -52.0443325  216.2306675   23.3556675
 [3906]  -65.5193325  -52.8693325   99.3556675  -80.6193325   51.3056675
 [3911]  229.4306675 -120.4193325  -23.3943325  -90.4193325   43.3556675
 [3916]  -19.8193325  -59.5443325   11.3806675 -153.3193325  -20.9193325
 [3921]    2.6806675   35.7556675   88.5306675  232.5056675  147.6306675
 [3926]    6.0806675 -197.8693325   89.2556675   40.5806675  127.5806675
 [3931]   66.0056675  -52.1443325   19.5056675 -173.1943325 -328.4693325
 [3936]  -15.9443325   50.6806675  201.6056675   47.4556675  -15.5443325
 [3941]  -81.7943325 -155.0443325 -151.9443325   45.5806675  181.5556675
 [3946] -151.5193325  163.3056675  118.9056675   93.0056675 -169.8443325
 [3951]   -1.4443325   22.1556675  172.3306675  -38.6693325  120.2806675
 [3956]  -81.6693325  137.7556675  -38.0193325   57.5556675 -186.3443325
 [3961]  -63.3943325   11.8056675  185.4306675  -85.8943325   58.6056675
 [3966]  -79.4193325  -44.9193325  -30.0693325  -10.2193325  -51.3693325
 [3971]  -63.3693325 -161.4443325  191.0306675   46.3306675  -73.2693325
 [3976]   19.3556675  -54.2443325 -221.6943325  111.5306675  153.1556675
 [3981]  -49.5193325  116.8806675   81.4056675   33.3806675  -68.8193325
 [3986]   13.5306675   27.7306675  116.7806675 -167.2193325   71.5056675
 [3991]    9.5056675   71.5556675  -20.1693325   38.2306675  -31.8193325
 [3996]   89.3556675  198.7306675  204.5306675   80.8556675   66.3056675
 [4001] -107.0693325 -255.2943325   30.2306675   84.9556675 -165.7943325
 [4006]  -82.1443325  142.9056675 -217.4443325 -166.3443325   64.2556675
 [4011]   87.7556675  -96.2943325  120.0806675   35.8306675   85.0556675
 [4016]   60.1556675   47.5306675   -2.7693325  180.7806675 -207.7443325
 [4021]   23.9056675   10.3056675   29.9556675  158.3306675  -11.2943325
 [4026]  -30.9693325   79.7306675  -62.1443325 -137.8443325 -153.3943325
 [4031] -107.2443325  -52.6193325 -109.8943325    9.3056675 -116.3943325
 [4036]  -13.3693325   35.2806675   51.5056675  -95.8193325   61.5306675
 [4041]  131.4056675   -5.7443325  -17.8443325   94.0056675   81.8306675
 [4046]   15.8306675  -16.2443325  194.8056675  134.2056675   39.0556675
 [4051]  -67.7193325 -104.1193325   86.3056675  -52.6693325    7.9306675
 [4056]    6.3306675  -72.6193325  -13.2943325  -91.9693325   17.5556675
 [4061]  -33.5443325  -46.2193325   91.6556675  -88.8693325  100.3056675
 [4066] -148.9443325  113.4306675   94.5806675  -39.6943325  210.8306675
 [4071]   55.9556675   23.3556675  114.6306675  127.4806675   26.3556675
 [4076]   91.5056675  138.3806675  -52.2193325  -33.9443325  -64.1693325
 [4081]  -77.0693325  -35.4943325  -41.2943325   72.3056675  -11.0943325
 [4086]  -38.3443325  -93.7943325  -32.2693325 -113.2443325  -42.9193325
 [4091]   48.3556675   52.1306675  105.3056675   53.4556675  122.2306675
 [4096]  155.8306675  -91.1193325  -51.7193325  -68.7443325   14.7306675
 [4101]   48.3056675   60.2806675   40.3556675 -202.8193325    3.2556675
 [4106]  106.1056675  242.0056675    1.2556675   25.3806675  -82.5943325
 [4111]   30.9806675   52.7806675   90.1556675  -53.9943325  -67.5443325
 [4116] -186.8193325 -104.7693325   -6.4943325  -49.3943325  -13.0693325
 [4121]  -39.6943325 -284.3943325   92.2306675 -160.3943325 -113.2943325
 [4126]   55.6806675 -203.7443325   -5.5693325  111.0556675  248.1806675
 [4131] -364.4193325 -109.7193325    8.8556675   98.5306675  151.8806675
 [4136] -107.6443325 -103.9193325  -37.5693325   28.5556675  -37.6693325
 [4141]  -97.4193325  -17.1193325   67.7556675   22.5556675  -55.5693325
 [4146]  -58.9443325  -66.2943325 -134.6443325 -105.8443325  -76.2443325
 [4151]  -31.5193325  -61.8443325  156.8056675  223.7806675  166.6556675
 [4156]  -23.0443325  -89.4693325  -21.0693325  -13.1193325    1.0806675
 [4161]  135.3306675  274.4556675  -21.3693325  113.3556675  -28.0943325
 [4166]  -93.7693325   22.1806675  192.1556675  -68.0193325   84.2806675
 [4171]  233.9806675   33.9806675 -146.8193325   87.1306675  -24.4943325
 [4176]  -90.9943325 -197.9693325  -52.4693325  -42.1443325   -4.2693325
 [4181]  148.4306675  -77.0193325  137.8556675  -50.6943325  -76.3443325
 [4186]  -39.6943325   86.3556675  -57.1193325 -162.9443325  125.8306675
 [4191]  194.5056675  -71.6693325 -231.6693325   36.2306675  -13.5693325
 [4196] -116.0943325  -41.6943325  163.1306675   20.3806675 -138.2943325
 [4201]  -57.5193325  -10.9693325   85.3056675  -19.6443325 -188.3693325
 [4206] -194.8693325  -82.0443325   35.2556675  -54.4193325  125.9306675
 [4211]  -33.2693325  187.3806675   20.0306675   55.9806675   41.2806675
 [4216]   78.9056675 -106.4943325  174.9556675  195.0556675   58.6306675
 [4221] -159.0943325   53.8056675  -95.3943325 -103.7693325  -56.5943325
 [4226]  133.5556675 -195.0443325 -263.7443325 -176.4443325  106.7806675
 [4231]  -51.5943325  -31.8693325  125.7056675 -153.9943325  151.5056675
 [4236]   11.9056675   98.6556675   62.1556675  -85.1443325  144.7306675
 [4241] -145.6443325  251.7556675  136.3056675  -70.9193325   56.5306675
 [4246]    5.2056675 -156.9693325   -6.4943325  -57.2193325  -96.6693325
 [4251] -142.2943325   17.0806675   -5.7443325 -181.0943325  -93.8693325
 [4256] -125.6443325   70.5556675   16.1056675 -110.8693325   25.3306675
 [4261]  129.0056675  -36.2193325   -7.5193325 -244.1443325  -12.1693325
 [4266]   74.3556675 -143.2443325 -168.6943325  -22.7693325  -25.4443325
 [4271]   -3.2193325   60.3306675   13.9556675 -115.7443325  169.8306675
 [4276]   71.4806675 -180.2193325   51.7056675   65.5056675   34.2056675
 [4281]   56.8306675 -124.7193325  -26.3443325  122.6806675   44.9556675
 [4286]  -44.9943325  -51.9443325  -99.8193325  110.1056675   13.9806675
 [4291]  -69.5443325  -16.4443325 -116.6943325  -14.4693325 -169.0443325
 [4296]   54.3306675  126.3306675  -79.5943325 -111.5443325 -125.1693325
 [4301]  179.8556675  -86.8443325 -144.8443325   29.0306675   77.4056675
 [4306]  100.4556675   60.7056675   -6.4193325  -50.0193325   62.5806675
 [4311]  -49.9693325   -7.0193325  115.6306675  -35.5943325   -8.4943325
 [4316] -188.8193325  125.4056675  -87.6693325  -39.9443325   88.0556675
 [4321]   19.0806675  -59.0443325   43.1306675  -11.7443325   52.6306675
 [4326] -108.7443325 -118.9943325   28.6556675 -121.9943325  102.7306675
 [4331]  162.7306675   60.0806675  -71.2943325   80.6556675    0.5056675
 [4336]  106.7306675 -135.6943325    9.6806675   35.7056675 -115.5193325
 [4341]  -62.8943325 -114.8693325  104.5306675  133.1306675 -149.4443325
 [4346]  145.6306675   -6.3193325  106.6056675 -218.7193325 -390.0943325
 [4351]  -47.1443325  -95.1443325  -53.3943325  238.8556675  -37.5943325
 [4356]   -1.1693325    3.1556675  117.1556675   18.3806675  325.4056675
 [4361]    7.1806675 -192.7693325  175.0056675   13.2306675  189.6056675
 [4366]  214.6556675  -81.3693325  -17.4193325  184.3056675  -47.0943325
 [4371]   78.5556675  -73.1693325  276.7556675  113.0556675   29.5306675
 [4376]  -33.1693325   -3.7193325  172.3806675   62.2306675 -133.9693325
 [4381] -145.4443325  -68.3943325   86.2056675    2.1056675 -124.5693325
 [4386]  -34.2943325   62.8806675  -32.6693325  -36.4443325 -114.4693325
 [4391]   76.3556675   91.6056675 -136.3443325   15.9306675  -77.9443325
 [4396] -141.9943325  -38.7943325   38.3806675  116.3056675  103.4056675
 [4401]   -5.1443325  -58.6443325   96.9056675  -83.1443325 -221.1693325
 [4406]   -8.1443325   13.5306675   27.8806675  -34.8193325   70.5056675
 [4411]   36.6306675   27.5806675   81.7306675  120.6056675    7.3556675
 [4416]   95.1306675 -124.7943325 -213.4443325   69.4556675   83.8056675
 [4421]  -19.4443325 -137.2693325  155.1056675  251.7056675   94.3556675
 [4426]   83.5306675  -34.7443325   35.5806675 -150.7443325 -165.5943325
 [4431]   82.5306675 -192.1443325 -181.0943325  -54.9193325   67.6806675
 [4436]   71.2306675  137.9056675   23.5556675  -92.3193325   47.0306675
 [4441] -156.6693325 -184.2193325   -7.5943325  -45.2193325   41.7806675
 [4446] -103.0693325   95.6056675   62.8056675 -120.0943325 -103.1943325
 [4451]   -8.6943325   67.8056675  -35.7443325   47.9806675  113.6306675
 [4456] -100.4443325   51.0056675 -167.3193325 -125.7443325  -43.7443325
 [4461]   85.0556675   49.7056675  -80.6193325 -245.6193325 -178.4943325
 [4466]  -83.2943325 -151.5693325  -32.7193325   62.7056675  117.2556675
 [4471]   12.4806675  -38.7193325 -103.9693325   48.6056675  -63.1193325
 [4476]  -26.3943325   24.3306675  -43.9693325 -178.0693325  -57.7943325
 [4481]  -67.3443325  155.8056675   45.4556675  -45.3193325  -42.3443325
 [4486]    3.9056675  -88.0693325  -33.5693325  -11.5443325  -20.6693325
 [4491]  127.0556675   87.3556675  -78.8693325  140.9306675  -78.7193325
 [4496]    9.6806675 -177.7693325 -149.4943325 -125.2443325  102.8806675
 [4501] -121.4693325   31.4056675  -20.1693325   38.1556675  -80.8443325
 [4506]   91.7056675   59.4056675 -159.5443325   -8.4943325  -51.5193325
 [4511]    1.1306675  148.9806675 -135.9193325 -248.0693325   75.2056675
 [4516]   63.3806675  123.5556675  -11.8693325    2.9306675   14.5556675
 [4521]  141.8556675 -169.9443325   33.8806675  -55.1693325  228.5056675
 [4526]  -11.1943325  -88.7443325  136.1306675   89.7306675   27.5056675
 [4531]   94.6306675  148.5056675  -43.7693325  -26.6443325  -77.9443325
 [4536]  -88.2693325  134.9556675  -58.1193325  -30.4193325  -68.1943325
 [4541]  127.3806675  102.9306675   62.0306675 -197.5693325   -4.8193325
 [4546]  -33.1693325   10.5556675  147.2306675  131.9806675  -37.8693325
 [4551]   14.8556675   31.5806675   30.3806675   65.4056675    5.0806675
 [4556]  -47.9193325   -5.8693325  -78.7193325   42.5556675   12.6306675
 [4561]   -4.6443325   21.1056675 -154.2693325   22.1556675 -133.6943325
 [4566]  -33.2443325   60.2306675  179.5306675    6.0056675  140.2806675
 [4571]   97.7556675   51.1056675 -117.5193325 -294.7943325 -156.5193325
 [4576]  -41.6693325 -174.8693325   89.7056675   83.5306675  -69.0193325
 [4581]  245.2306675   -1.8693325   31.5806675  105.0556675    6.4806675
 [4586]  -41.0943325  -53.1443325   42.5056675  -84.1943325   26.3806675
 [4591]  -66.4193325  257.4056675   14.9306675 -195.9443325   57.3306675
 [4596]  -68.4193325   53.8806675  142.6306675   -5.6943325  -71.4193325
 [4601]  122.3806675  155.0806675 -113.7943325 -154.2443325   78.4306675
 [4606]  109.0806675  217.6056675   69.0806675   -1.6693325  133.9306675
 [4611]  -57.5193325   36.8306675  117.2056675 -147.0693325  -79.2943325
 [4616]  -56.6443325  -80.9943325   96.2556675   87.5306675  -44.5943325
 [4621] -263.7693325   42.3306675   34.8056675 -118.4693325  175.4806675
 [4626]  -27.6193325 -120.7693325   40.7306675   98.2806675  -34.0443325
 [4631]  -92.8943325  -22.2693325  -47.9693325 -278.6943325   81.1556675
 [4636]   -6.2943325   -5.7443325 -195.5443325   53.1556675   85.3306675
 [4641]  140.6306675  154.5556675   -3.1193325  -33.0693325  -57.9943325
 [4646]  117.6806675   -3.9943325  104.9056675   68.8056675  -46.7943325
 [4651]   -4.9443325  -30.5443325 -126.9943325   64.0306675   93.6306675
 [4656]   25.8056675  170.5056675 -100.9943325  -66.3943325  -15.7193325
 [4661]  -48.3193325   10.1556675 -158.6443325 -216.8693325 -183.1443325
 [4666]   54.0806675  184.7306675  116.1056675  -16.0693325  -61.0193325
 [4671]   44.0056675 -146.9693325  -41.7193325  -17.5693325  154.3056675
 [4676]  -96.3693325   69.3056675 -145.0193325    2.0056675 -201.0193325
 [4681] -186.2693325   49.0806675  140.3806675   74.8306675    5.8306675
 [4686]  165.0306675  -70.6193325  -46.4693325    1.6056675  209.9556675
 [4691]  186.5056675 -100.6693325  -29.8193325 -144.7943325 -166.1943325
 [4696]  -97.3693325 -170.3193325  -15.0693325  132.5306675  -59.9193325
 [4701]  -23.2943325  -16.8943325   85.5806675  -91.8693325   -9.9193325
 [4706]  155.4556675  -34.6443325  -15.6193325    4.9306675   -4.2193325
 [4711]  -23.6193325  174.7056675   73.4056675   29.4306675  -23.0443325
 [4716]  -89.6943325  156.8056675  121.2806675    0.3806675  -52.0693325
 [4721]  -15.9443325 -240.2443325  -29.9693325   79.3306675   63.5806675
 [4726] -131.9443325   -2.7693325  -64.3693325  -14.2693325   77.6306675
 [4731]  -58.3693325   85.6306675  187.2556675   -9.0943325   37.7056675
 [4736]  -65.7693325 -345.1693325   82.1306675  245.3806675   68.3056675
 [4741]  146.6306675   18.1806675  145.2556675  -22.0193325 -151.4943325
 [4746]   13.3056675  173.1056675 -144.0443325   57.8806675  -24.4693325
 [4751]  -53.7193325 -275.1443325   98.8056675  -23.4693325   36.8806675
 [4756] -169.8193325 -120.3693325   53.7306675  -36.0943325  -55.0943325
 [4761]  -24.4443325 -102.5193325 -210.9193325  180.9806675    1.4806675
 [4766]   10.9056675   57.5556675  248.6306675  -73.4443325  -34.7693325
 [4771] -150.4443325 -185.6693325   90.3056675 -114.7443325 -203.4443325
 [4776]    0.1056675 -107.3943325  -94.4693325   62.1556675  152.2306675
 [4781] -222.9193325  -13.2693325   24.9556675  -68.0443325  162.5056675
 [4786]   68.0056675  215.8806675   11.7306675   52.0806675 -117.0943325
 [4791]  -71.9693325 -108.0943325    5.1556675  -99.0443325   51.0806675
 [4796] -108.7443325   27.5556675 -153.4193325  -63.6443325  161.9056675
 [4801] -164.2693325  -90.2193325 -195.2693325 -150.5443325 -170.0693325
 [4806]  170.9056675  -37.3443325    1.4806675   67.0306675  -39.1943325
 [4811]  -58.4943325  -55.8193325  -88.2693325  -60.0193325   23.4556675
 [4816]   24.4056675  -98.2193325  -31.1693325  -24.9943325  202.2556675
 [4821]  180.1556675  -86.4443325   12.1556675 -215.8193325  -57.3943325
 [4826]  -49.1193325   91.5306675  115.9306675  -73.5943325   74.4306675
 [4831] -141.9193325 -117.1193325  113.7556675   47.0556675  -73.3193325
 [4836]   15.3556675  -92.0193325  114.6556675 -163.1443325  -12.6443325
 [4841]  158.6056675   49.3556675 -154.4193325 -119.7193325  230.5056675
 [4846]  -25.6443325    6.0056675 -257.9943325    0.6806675   26.4556675
 [4851]  -50.4693325 -150.5943325  -28.7943325  -69.7943325 -112.8193325
 [4856]   -4.9693325   11.1056675   15.7556675  -21.2693325  -55.7693325
 [4861] -141.1443325  135.5806675  139.2056675   11.9056675  -85.5943325
 [4866]   67.5556675  100.6306675 -205.7943325  -85.9193325   80.4056675
 [4871]  102.0306675  -49.3943325 -127.4193325   17.4056675  114.1056675
 [4876]  100.3806675  -17.5443325  -61.7193325  -35.3943325  215.2306675
 [4881]  148.8056675 -130.9193325   82.4306675  168.1306675   36.3806675
 [4886] -186.2693325   86.8306675  -69.8693325   81.0556675  135.7306675
 [4891]  -54.6693325 -250.3943325  -23.7693325  -17.1693325   44.0056675
 [4896]  185.3306675  -38.8943325  -31.7193325   41.3556675   63.6556675
 [4901]  -18.0443325 -118.7943325    7.7806675  -92.9943325  177.3556675
 [4906] -125.8693325  130.7306675 -138.5693325  248.4556675  -97.2193325
 [4911]   15.0556675    2.0806675  116.9806675   87.4306675   26.7556675
 [4916]  -80.3443325  -70.4943325   20.0806675 -266.3193325  342.2556675
 [4921]  -99.0443325   44.3806675   69.8306675  168.5806675  149.0306675
 [4926]  -59.6193325  -60.1443325   43.2306675  -65.0693325  122.8056675
 [4931]  -49.6693325  -43.4943325  350.9806675 -145.6193325  -84.3693325
 [4936]  206.2056675 -126.8193325  -50.9443325  119.2556675  -24.2193325
 [4941] -101.8693325  102.1806675   77.2556675   73.9306675  -43.1193325
 [4946]  138.1556675  161.5806675  -50.6443325   40.0556675  -64.2443325
 [4951]  182.5806675   15.7556675   54.7306675  192.7056675  -84.1443325
 [4956]  -57.6943325 -139.9193325   97.0806675 -135.2443325  -40.4193325
 [4961] -174.3193325   94.3556675 -100.4443325   53.6806675   85.2056675
 [4966]  128.4306675   22.8556675   69.5806675   66.1306675 -100.1943325
 [4971]   54.9806675  128.9056675   87.5306675   -0.9693325   47.5556675
 [4976]  182.8806675   51.0556675  -24.5943325  -62.0193325  -36.6193325
 [4981]  -32.6693325  -55.8943325   82.0556675  -13.3193325 -119.0943325
 [4986]  119.3056675 -172.7943325   22.1806675  187.8056675  -18.4443325
 [4991]  -26.4443325   10.1556675   78.9556675   -9.7443325  -21.1443325
 [4996]  -27.7693325 -348.3943325  -90.2443325   98.6306675 -102.1443325
 [5001]  -22.9943325  150.4556675  141.2056675   97.6806675   37.3556675
 [5006] -164.7943325  -99.7943325  -40.3943325   31.4556675  150.1556675
 [5011]   51.3806675   48.2056675   65.7056675 -184.5193325 -116.3193325
 [5016]  -81.7193325   34.8806675  -33.5943325  -31.4193325  -20.5943325
 [5021]   25.0556675 -100.2443325  -79.1193325   16.2056675 -142.4693325
 [5026] -192.7943325   51.9806675  -25.4193325 -173.1193325   69.3056675
 [5031]   18.7056675   59.9306675  -37.5693325   66.2806675   26.2306675
 [5036]   36.7806675   51.5556675   -6.5193325 -207.6943325   30.2806675
 [5041]    0.3806675  -49.4193325  171.3306675  -46.0443325   94.6056675
 [5046]  117.0056675  243.6806675  -26.7943325  -78.0443325   88.1556675
 [5051] -177.6443325   30.4806675   46.2306675   44.3806675 -276.2693325
 [5056]   87.3306675  -98.8193325 -120.6193325   -2.1693325   44.2556675
 [5061] -161.3693325 -144.1693325   98.0056675  -63.5443325 -196.7193325
 [5066]  129.0806675  -24.5443325 -186.6693325  -75.1193325  265.6806675
 [5071]   59.4306675  -33.1693325  -25.6943325  185.5306675  -39.9943325
 [5076]  175.8306675  -51.1443325 -226.0693325   86.7556675 -276.7193325
 [5081]  -78.8943325 -102.1693325    1.9056675  155.6556675   44.8306675
 [5086]  -24.0193325  -22.9693325   96.3806675 -238.0693325   30.7806675
 [5091]   -8.9443325  -32.0693325  152.6806675   28.1306675 -111.9443325
 [5096]  -50.5693325  284.8806675 -174.6443325 -123.4193325  -94.8943325
 [5101]  -87.5443325  -95.2943325   -8.0943325  124.0806675  -95.4693325
 [5106]   69.1056675   79.4056675 -153.8943325   67.8056675  193.0806675
 [5111]   79.9556675 -149.3193325  183.8306675   55.5556675   56.5556675
 [5116]  121.5306675  -46.3443325   85.2306675 -149.5443325  267.1556675
 [5121]  -13.9443325   59.9556675  -13.7443325 -100.5693325  -65.9443325
 [5126]   89.2556675 -110.3193325  123.0556675  248.0056675   69.0306675
 [5131]   68.0056675  -57.6693325 -161.9693325   16.8556675  -85.9193325
 [5136]  107.9556675   75.1806675  258.9806675   63.6806675  -33.5943325
 [5141]   19.0306675  112.2056675   42.0556675  -27.5193325 -288.0943325
 [5146]  134.6556675  106.9806675  182.0306675    0.6306675  -12.5193325
 [5151]   -6.7193325  -92.6193325  -34.7443325  -83.9693325   20.1056675
 [5156]   48.7056675   35.4806675   -3.4193325  137.3556675   84.7056675
 [5161] -198.0693325   63.5056675 -137.9693325    0.8556675  153.4806675
 [5166] -254.0193325  157.0306675    3.1806675   -1.7943325  113.3806675
 [5171] -156.5693325  -41.3943325  -57.6693325  195.4306675  -68.2443325
 [5176]  146.0556675   44.1556675  -27.3943325   96.8056675  107.4556675
 [5181]  186.7556675  134.5306675   37.0556675 -159.5693325 -150.6693325
 [5186]   68.0056675  -14.9193325  -47.0193325  -37.3693325  -92.8443325
 [5191]  108.1306675 -238.0693325  222.9056675  -49.5443325  104.9306675
 [5196]   29.9056675   -1.7193325  -97.7943325   75.6556675  140.0806675
 [5201]  139.6806675   -4.2943325 -241.8693325   45.8306675 -152.9443325
 [5206]  -27.8693325 -150.8193325   90.2306675  234.9556675   55.7806675
 [5211] -123.0193325  -86.3693325   33.0056675  180.4806675  106.4056675
 [5216]  -43.2693325  -22.0193325  -54.3693325   25.7056675 -117.4943325
 [5221]   86.4556675  -55.0693325 -133.1693325  -66.7693325   10.2306675
 [5226]  152.5056675   -4.3193325 -176.8193325 -117.4693325   17.1056675
 [5231]   61.3056675  -58.6193325  152.1556675  -30.0443325  -40.2443325
 [5236] -134.0443325   30.7806675  -49.7193325 -148.3443325  -67.7943325
 [5241]   63.9306675   90.1056675  -47.8443325   69.5056675  -56.4193325
 [5246] -102.0693325  185.5806675  -35.6943325  176.2806675  -65.0193325
 [5251]  105.5556675   46.5306675   93.9056675  -82.7693325  -86.7443325
 [5256]   20.2306675  108.4056675 -140.8693325    9.1806675  118.6306675
 [5261]  -76.5693325 -120.1693325  -47.7943325  155.2056675   76.8056675
 [5266]    8.5556675  -15.5943325   79.5806675 -142.5693325   93.0806675
 [5271] -175.3443325  -33.0693325   57.0306675  -26.4693325   66.9806675
 [5276]   83.7306675 -202.6943325   64.9806675 -136.9193325  111.7306675
 [5281] -113.1943325   53.6806675   11.7056675  172.0556675   62.5306675
 [5286]  -39.0943325   -2.3443325  -41.8193325  154.3056675 -155.2443325
 [5291]   74.1056675    2.7056675  -59.3693325 -136.0693325  208.6056675
 [5296] -190.9443325  145.0306675   -4.8193325   -3.4693325  -27.8943325
 [5301]   91.6806675 -228.1193325 -141.8193325  -54.3193325   40.3306675
 [5306]  -22.2193325  175.8806675 -116.2193325 -101.7193325  147.7556675
 [5311]  -62.9693325  248.2556675   -4.2443325  -69.1943325  -41.8443325
 [5316]   87.8806675 -196.6443325   78.9556675 -415.8693325  -63.9193325
 [5321]  -25.5193325   -3.2443325  -26.9693325  -22.8443325   20.6806675
 [5326]   15.2056675   24.8556675  -80.1193325   10.5056675  -74.2193325
 [5331]  224.7306675  -92.3693325   77.8056675 -160.8943325   62.0556675
 [5336]   46.0806675    4.7556675    1.8806675   27.2806675  278.9806675
 [5341]   23.0056675    0.0556675   70.1806675  154.6806675 -128.4943325
 [5346] -105.9943325    0.7556675  -50.9443325   -9.1943325  120.5556675
 [5351]  135.5056675  145.1556675 -143.1943325   43.8056675 -108.4693325
 [5356]   79.9806675   91.1056675  -25.4693325 -102.1443325  -69.7943325
 [5361]   14.7306675   95.3306675   58.8056675  -68.1693325  117.2806675
 [5366]  -31.6693325   -1.6693325    0.7056675   51.1556675  -19.3693325
 [5371]   76.5806675  -15.7443325  -77.5943325 -157.5693325  203.3556675
 [5376]  136.9056675   30.3056675  -16.6443325  168.7806675 -146.5193325
 [5381] -142.8693325  -36.2943325  -53.4693325 -200.6443325  -85.1693325
 [5386]   62.8556675  283.2306675   -9.0943325  -64.3443325  105.2056675
 [5391]  -56.7693325  -33.8693325   64.9806675 -187.3693325   61.7306675
 [5396] -189.9943325   66.7306675 -120.8943325    8.3306675  -44.7943325
 [5401]   15.4056675 -120.7193325  132.0056675  -55.9443325  236.2806675
 [5406]   21.7806675  157.0056675  238.6556675  -38.3943325 -113.2193325
 [5411]  114.5806675  -70.7443325 -126.2943325  114.7306675   29.8556675
 [5416] -152.2693325  -72.8443325  -63.8443325  -99.6943325   36.8556675
 [5421]  220.8556675  -41.3193325   64.3056675    6.6806675  118.9556675
 [5426] -149.9943325    4.5306675  -55.0443325  -48.9693325  -70.3943325
 [5431]  205.1556675 -159.7943325  -72.7693325  -24.3943325   53.6056675
 [5436]    4.9556675  206.7056675 -236.8943325 -123.9193325  -38.6443325
 [5441]  -55.5693325  -61.9693325   24.5556675    4.6306675   37.1056675
 [5446]  127.6306675    6.0056675  -67.0943325 -127.7193325  133.0806675
 [5451]  -51.3443325   90.1806675  -25.8193325   29.1806675 -168.4443325
 [5456]   35.4806675  -78.8193325   26.6806675 -202.9193325  101.6306675
 [5461]   93.3806675  -77.4693325   69.3806675 -125.5943325   87.1056675
 [5466]  -58.7943325   52.7306675  -69.7193325  197.6556675 -208.8443325
 [5471] -145.2693325  -96.4943325   72.7306675  -69.5443325  157.6306675
 [5476] -269.0443325   93.7056675 -179.8693325  202.3556675  -16.3943325
 [5481]   56.1306675  159.1556675   -4.4443325    2.9306675  -48.8693325
 [5486]  -94.3693325  -40.9693325   47.5556675 -304.9693325  355.0306675
 [5491] -100.4443325    9.9056675   60.9306675   61.7306675 -149.8943325
 [5496]  -85.1193325   -5.5943325  -59.9193325  -44.5693325 -280.8443325
 [5501]  114.1806675   41.0306675  288.7056675   -7.2943325   21.9056675
 [5506]   47.7556675   20.0556675   -3.7193325   -4.2693325  346.3056675
 [5511]  110.8306675   88.2306675 -174.6443325   58.8306675   37.7306675
 [5516]   17.4306675 -139.1443325   41.5306675  -12.0943325   12.9056675
 [5521]    1.9306675   63.6806675  -36.1443325 -141.9443325   33.9306675
 [5526]  134.2556675   -5.1693325   18.7306675  262.1056675   77.5306675
 [5531]  -12.1693325   -4.3693325    2.7056675   39.2556675   47.6306675
 [5536]   80.9556675  118.5556675  107.0306675   -4.2693325  104.3556675
 [5541]   36.5056675   60.4056675    2.7806675   33.1806675 -125.7443325
 [5546] -174.0943325   78.3806675  173.3306675  -99.2943325  -53.8693325
 [5551]  -80.5193325  -76.3193325  -60.0443325  -94.5693325   17.6306675
 [5556]   -8.0443325  -54.0443325   25.4056675  -74.2943325 -110.2943325
 [5561]    0.8306675 -343.5693325  -86.8443325  -42.1443325   41.4806675
 [5566]  -65.3943325 -102.0193325 -207.1693325   43.2306675  -57.4943325
 [5571] -166.4693325  234.3056675  202.6306675  -84.5443325   78.3306675
 [5576]   83.0056675  141.6306675   12.8306675   -1.2693325  -53.8193325
 [5581]  105.0556675   87.3306675   75.6556675  -71.6943325 -159.1193325
 [5586]   73.8306675  -31.5693325 -194.2943325   70.6806675 -109.5693325
 [5591]  166.0806675   -4.2943325  -24.8443325   65.6806675   36.6306675
 [5596]  -11.3693325 -126.9443325   -3.9693325   40.1056675  246.6806675
 [5601]   13.7056675 -136.1443325   -9.0943325 -123.7193325   29.2056675
 [5606]  -89.1693325  145.8806675  253.2056675    9.4806675   67.8306675
 [5611]  -72.2693325 -132.6693325  -90.9693325 -104.6943325  224.2806675
 [5616] -186.0943325  417.6056675 -127.3943325  161.1556675   75.4056675
 [5621] -107.0193325 -233.4443325   67.5056675  -40.3443325   -9.6443325
 [5626]  173.4806675  -93.7693325    1.4556675  303.4806675  -69.1693325
 [5631]  -76.2193325 -202.8693325  -70.6943325  -37.8193325  -11.6193325
 [5636]   20.9806675   -3.4943325  -40.1693325  182.4056675    7.1556675
 [5641] -134.3693325   -9.1693325   48.5806675 -105.5193325  333.6806675
 [5646]  -10.9193325   27.6306675  -13.0943325   93.0556675 -225.2193325
 [5651] -106.5693325    5.3306675  252.4306675  -68.3693325   98.4806675
 [5656]   73.8806675   15.7806675  -67.7693325   61.3306675  -24.1693325
 [5661] -160.3693325 -147.3943325 -116.5443325   14.8556675   42.6806675
 [5666]   32.1556675  100.2806675  130.5056675  100.9306675  121.9806675
 [5671]   83.0806675  -94.4443325 -154.6693325  -83.3943325   87.0056675
 [5676]  -51.5193325   15.6556675  -37.0943325 -209.4443325  -40.6443325
 [5681] -146.3693325   77.7306675  -48.4193325  203.8556675 -154.6193325
 [5686] -155.7693325   19.7306675 -140.7943325   24.1306675  -65.2193325
 [5691]   48.0556675   29.9556675 -211.3693325  -53.4693325  139.0056675
 [5696] -196.9443325  210.2806675   19.0306675 -103.8193325 -220.9693325
 [5701]   44.8306675   14.3556675  -71.1443325  180.2556675  -80.6193325
 [5706]   50.6056675  110.1056675   54.3556675   47.2556675   -7.3943325
 [5711]   65.1556675  -40.5943325   98.4556675  -76.3943325   16.7806675
 [5716] -134.7693325  -88.8443325   86.4306675   88.4806675  -41.2693325
 [5721] -131.4193325  -16.4693325 -136.4693325 -128.8693325   21.7306675
 [5726]  160.1306675  -47.9693325 -107.0693325   54.5556675   49.0556675
 [5731]  -37.2693325  -17.8943325  -64.6693325   -3.9193325   33.4056675
 [5736]  -12.6443325    6.7056675  132.0806675    3.0056675 -107.7693325
 [5741] -207.6193325   48.3306675  -84.7443325  190.1806675 -110.0443325
 [5746]  -32.9943325  -62.2943325 -117.6193325   28.3556675   -0.4943325
 [5751]   94.6056675 -143.2443325  197.9056675 -177.7193325 -133.2693325
 [5756]  -69.3943325  -42.5943325  -30.1193325 -138.0943325    5.4556675
 [5761]   -5.5943325   24.2556675  -22.0943325  -57.2193325 -110.1943325
 [5766]  -70.4443325  -67.1943325  196.8056675 -303.5443325 -112.8193325
 [5771]  115.6806675 -126.4693325  105.0056675  -32.3193325  -52.9193325
 [5776]    6.6556675 -169.1193325    3.3056675 -155.5943325  -88.9693325
 [5781] -138.4443325   15.9556675   86.8306675  -33.1693325   48.2556675
 [5786]   38.3056675  109.5556675  -99.2943325  -31.1693325   19.6806675
 [5791]  -50.6443325   51.9806675   37.3056675  165.8556675   -3.1193325
 [5796]    4.6806675  140.6556675  -60.2943325 -142.3443325   81.8306675
 [5801]   39.0556675   68.7556675   47.0306675 -124.4943325 -120.8443325
 [5806] -175.0193325 -155.8443325  301.2806675 -147.3943325    6.9556675
 [5811]  -10.5943325   18.0056675   91.6806675   75.4056675  -63.5693325
 [5816]  -80.0693325   92.7056675 -122.8443325   41.8806675   92.6056675
 [5821]  -66.6443325  163.4556675  -76.8193325   47.8806675    9.5056675
 [5826] -101.8943325 -102.0193325  -36.0443325  -25.8193325 -111.7943325
 [5831]   89.3806675  -54.9943325   69.8306675  324.4556675    7.1806675
 [5836] -145.7943325  138.5556675 -132.4443325  -15.9193325  -22.5193325
 [5841]  -15.0193325   74.8806675  116.6556675 -124.1943325  -83.1943325
 [5846]   -3.3693325 -171.8943325  -68.5193325   93.2306675  -42.7443325
 [5851]   26.2306675   11.9306675  108.3806675    4.2056675   69.9556675
 [5856] -137.0693325   12.3806675  126.6556675  -22.8443325   85.9806675
 [5861]   -3.6443325  -55.3193325  151.2556675  173.1556675   65.1306675
 [5866]   12.4306675 -101.0693325  -52.0193325   71.4556675  -30.6693325
 [5871] -233.2943325 -225.8443325   50.4806675   40.5556675  -81.3693325
 [5876]  135.1056675 -199.5443325   35.8306675 -131.5693325   91.5306675
 [5881]  312.4056675   81.1306675  -85.2693325   89.1556675   27.9306675
 [5886]  -45.5693325   15.0806675    4.2056675 -122.5693325  136.5306675
 [5891]   28.1806675  -73.8693325   34.8306675 -273.2693325  206.1806675
 [5896]  -43.0943325   -9.8693325 -106.0443325  -33.6193325   43.4556675
 [5901] -161.6693325  -38.2693325  125.2806675   72.4056675  147.5056675
 [5906]  -90.2693325  140.9056675   -0.1693325  -53.4443325  -71.4693325
 [5911]  -50.5443325    9.3306675 -174.7693325   20.2806675  -44.6193325
 [5916]   79.0806675  -57.2193325   94.0556675 -151.3693325  -61.1693325
 [5921]  -40.6443325  -79.0193325  -48.7443325   27.0806675  -58.0193325
 [5926]  134.8806675   33.2806675   72.2306675  105.7556675  -33.6193325
 [5931]  113.9806675 -188.7943325 -126.1193325   36.2556675  -66.5193325
 [5936]  -75.9693325 -126.6193325   76.6556675  242.8806675  -20.4693325
 [5941]  -70.8193325 -133.3943325  -83.6693325 -152.9193325   20.1056675
 [5946] -101.3693325 -117.3443325   62.4806675   69.1306675   62.8806675
 [5951]    1.4056675  -11.7943325 -159.1943325   76.4306675  -79.6943325
 [5956] -138.2693325 -392.2693325   -4.0693325 -156.0443325  -64.4443325
 [5961]  127.9056675  -55.1193325  -23.4943325   47.1556675 -102.1693325
 [5966] -183.8693325   45.5306675   29.2056675 -111.4443325  108.5556675
 [5971]  183.0306675   -1.8193325  -54.8693325  155.7056675  -85.7193325
 [5976]  223.0056675  140.7806675  149.3056675 -133.8193325  -73.0693325
 [5981]   50.2806675   99.6056675 -200.9193325 -101.9193325  201.2556675
 [5986] -171.4943325  111.8806675  122.4306675   41.4306675  178.2806675
 [5991]  -28.1443325  137.0806675  -48.9693325 -197.2943325  -66.5443325
 [5996]  264.8306675  -90.3693325   25.2056675  103.6556675  -22.3693325
 [6001]   32.4056675 -237.0693325  194.9806675   71.7306675  199.6806675
 [6006]  169.5056675  -84.1693325  158.1306675  151.4056675   28.8806675
 [6011]  -99.4943325   52.5306675  181.2806675   64.5306675 -112.4943325
 [6016]  235.2556675  -17.6943325  -15.1943325   36.9056675   47.6806675
 [6021]  -34.6943325   75.6556675 -273.5443325   10.6056675  153.5306675
 [6026]   12.4306675  -98.7443325  111.6806675 -110.6943325   14.8806675
 [6031]   11.9806675  -30.8193325  102.8806675    9.8306675  -22.3943325
 [6036]  -94.7443325  312.6806675  119.3056675   47.3556675  -95.1943325
 [6041]  -33.3193325  -22.6693325   77.5806675 -186.0193325   65.0556675
 [6046]  -99.1943325  167.4056675 -132.1693325   81.7306675 -108.2693325
 [6051]  -65.3943325 -109.5693325   11.7556675  125.5556675 -124.4193325
 [6056]  -88.9693325   -4.9693325  -83.5443325   14.0806675  -62.7193325
 [6061]  -89.8693325  -33.6443325  -27.2943325 -204.0943325  -68.2943325
 [6066]  -17.8693325  128.3806675   28.6056675   74.4056675    5.0806675
 [6071]  115.0806675   33.9806675  -67.9693325   88.7306675 -148.4443325
 [6076]    5.5306675  -13.5943325  157.7306675  -83.0943325  125.4056675
 [6081]   81.4806675  -26.4193325 -160.7693325   97.4056675   -6.2693325
 [6086]  177.1806675  -69.5193325  -67.6193325 -110.5443325   40.1806675
 [6091]  -65.8193325  110.0556675  -79.8693325  -97.0693325    2.9056675
 [6096]   13.1556675  -42.2943325  137.1306675  -59.1943325   24.7056675
 [6101]  -45.1943325   76.3306675  -49.8443325   23.2806675  -59.5943325
 [6106]   79.9556675  -30.6193325 -100.2693325   89.8806675  209.4806675
 [6111]   14.8056675  -10.4193325 -185.0693325   33.7806675 -119.8443325
 [6116]  -53.9193325 -180.2193325 -113.1193325  131.7306675 -227.2693325
 [6121]  -54.6693325 -111.1943325  -36.1693325    4.9056675  312.1056675
 [6126]  -51.0193325  124.8806675   15.8056675   60.1806675  -34.8693325
 [6131]  -29.7693325 -131.1193325 -116.5943325   65.2056675  -19.7943325
 [6136]  -18.7193325   -9.7693325  -39.2443325   60.4306675   91.8556675
 [6141]  107.1806675   84.6306675  -51.8693325 -135.4693325 -111.9193325
 [6146]  -92.4943325  -80.2193325 -133.6693325   11.2056675  -78.9943325
 [6151] -255.4443325    7.8306675    5.3056675  100.5556675  -72.5693325
 [6156]  -71.8693325    4.8056675  196.6556675  129.3806675   13.9056675
 [6161]   47.2056675   67.7806675  -43.2943325  -80.9943325  -32.8943325
 [6166]   71.3806675   21.0806675  -95.9943325  -38.1943325 -288.6943325
 [6171]  188.6306675   11.7556675  -57.6193325 -115.6693325  172.3056675
 [6176]  124.9556675   60.4806675  -10.6943325   16.4306675  -56.3443325
 [6181]  116.8306675   27.7556675   31.9056675 -152.1693325   -2.9193325
 [6186] -143.4693325   45.7056675   40.0056675  115.7306675 -117.5443325
 [6191]   52.9556675  135.7056675  -58.3943325   36.4056675 -110.9693325
 [6196]  -99.0943325   15.6556675  -80.5443325    0.2806675 -107.0693325
 [6201]   39.8056675  -22.4193325   62.4806675  -76.6943325  152.6306675
 [6206]  -68.1943325   87.9056675  -47.0693325   27.5056675  124.3556675
 [6211]  198.0056675 -108.8693325   87.3056675  -31.9443325   45.0556675
 [6216]  160.2806675  -67.3443325   25.2806675 -123.0443325  -55.7943325
 [6221] -173.4193325   60.2556675   75.1806675 -107.4693325  145.4806675
 [6226]   -2.5193325   53.8056675  -27.8693325 -121.3443325    9.5056675
 [6231]  180.4806675   -9.0693325 -100.6193325  -13.1193325  111.2056675
 [6236] -105.0193325  119.9556675  -18.8443325   56.9306675  -14.5943325
 [6241]   35.6056675  106.1806675   33.3806675  104.0056675 -159.5443325
 [6246]   82.1806675 -224.4443325  -57.0193325   18.4056675  -23.7943325
 [6251]   -1.3693325   66.8556675  -35.3943325 -118.2943325 -126.2943325
 [6256]   95.0306675  -73.5693325  -17.4193325  -18.6693325  -78.2443325
 [6261]  -58.2193325  -54.3943325    2.3556675  209.5806675  -10.5193325
 [6266] -129.2693325   21.1306675  -69.9943325  -86.1693325    9.7306675
 [6271]   31.2056675  -36.4193325  -86.4193325  211.0806675  -77.0693325
 [6276]   41.8056675  138.1056675  -32.7693325  -50.5193325    2.2556675
 [6281]  -69.1443325  -38.8193325   -0.9693325  215.8556675  -73.2193325
 [6286]  -25.6443325   38.2556675   37.3306675   53.5806675 -144.3443325
 [6291]  211.0556675 -242.5443325  -28.6943325 -147.7193325  -14.2443325
 [6296]   29.2056675 -182.3193325 -235.9943325   83.1556675 -259.9693325
 [6301]  -23.6693325  -46.2693325   65.2806675 -112.5943325   61.9556675
 [6306]   77.7306675   31.5806675 -104.8943325    7.1056675   58.5806675
 [6311]  -54.0943325 -145.3193325  -16.4943325  -52.1443325   64.1306675
 [6316]   23.6056675 -293.4443325   11.9806675   97.6306675  144.3806675
 [6321] -104.2443325   27.8556675   48.7556675  -48.4943325   30.1556675
 [6326]  -53.6443325  121.7306675  193.2806675   27.1056675  -56.1693325
 [6331]    8.4806675 -103.6943325   84.3806675   -1.6443325 -103.0443325
 [6336] -156.6943325   71.1056675 -130.8443325    9.3056675   21.5306675
 [6341]  122.8056675  134.3556675  -66.7193325  -29.1943325  142.0806675
 [6346] -186.4443325  -72.0943325   71.6806675  167.8806675  229.3056675
 [6351]  130.5806675  -26.1693325  -23.1193325  168.5556675    9.9306675
 [6356]  -26.0443325   46.9556675  128.8556675  137.5556675  133.3056675
 [6361]  -88.9943325 -177.7693325   68.7306675  -33.8193325 -138.9943325
 [6366]  -31.1943325   39.7056675  -58.9693325  144.4556675  -19.4193325
 [6371] -158.8943325 -176.6943325  -34.6443325  -49.5693325   -8.4443325
 [6376]   30.7556675   33.6806675  -18.0193325   12.1306675  158.9556675
 [6381]   95.7306675 -260.7693325   49.6056675 -144.6443325  -45.4443325
 [6386] -135.3443325   70.2806675  -27.8693325 -124.5943325 -140.5193325
 [6391]  -24.3443325  -85.9943325 -218.3443325   -0.5693325  -59.7193325
 [6396]  -18.9943325  -57.2443325  140.2806675 -114.0193325  138.2056675
 [6401] -208.2693325  -61.9193325   15.3556675 -157.2943325   -1.3943325
 [6406]   40.7056675   11.5556675  -20.5693325    0.3556675  -62.3693325
 [6411] -154.9693325  127.9306675  -41.4693325  -13.0943325    5.6556675
 [6416] -164.8443325  -43.1443325   -1.7443325   45.9306675   24.5556675
 [6421]   29.1556675  -14.0693325 -225.9443325 -111.5943325   78.5306675
 [6426] -186.9693325  180.0556675 -132.4693325  -41.7193325   60.2556675
 [6431]  -10.9943325 -122.0693325  241.2056675   33.5556675 -229.1693325
 [6436]   32.6556675 -266.6693325  -13.9193325 -100.0943325   -5.4943325
 [6441] -225.8193325   78.1306675  102.6806675  284.8556675   16.7556675
 [6446] -193.6193325 -100.7193325 -196.6693325  -87.6443325   40.2306675
 [6451]   84.7806675  -46.0193325   -2.4943325  -11.0943325 -174.0693325
 [6456]  121.2306675   34.9806675  161.8306675  -47.8443325   54.2556675
 [6461]   32.4306675 -202.6443325  181.3556675  -11.5193325  175.2556675
 [6466]   89.5556675    8.8056675 -114.0193325  -29.8193325 -301.0693325
 [6471]   45.3056675  -65.1443325  258.7306675 -153.0193325  -22.0193325
 [6476]   22.5056675  158.7306675   26.2806675   31.6806675 -124.1943325
 [6481]   28.9556675   81.0556675 -229.6193325  -19.8693325  -69.6443325
 [6486]   30.2806675   64.1556675   54.1556675   -0.8693325 -131.1693325
 [6491]  -17.8943325   37.8556675 -176.7943325  133.6306675   41.3306675
 [6496]   90.9806675  -53.9693325  -54.1943325 -128.8943325   65.5556675
 [6501]  -40.3443325   87.7556675 -142.1943325  134.9306675  -46.6693325
 [6506]   60.3056675   50.5556675 -120.2693325  -42.3193325  -48.1943325
 [6511]   -2.6693325   79.9306675  134.1306675  -26.1193325  -36.0193325
 [6516]   41.7806675   25.2806675   59.8306675  251.2056675  136.1306675
 [6521]   77.3556675  124.2306675 -141.5443325  -12.3193325   -7.5443325
 [6526]  114.7806675  107.6056675    0.3806675  132.0556675  -10.6693325
 [6531] -194.5943325 -100.6693325  -70.6693325  -26.1193325  229.0056675
 [6536]  -21.7193325  -60.0693325  -30.5693325  -13.3443325  -44.4193325
 [6541] -124.9943325   43.0306675   -5.5693325   99.9306675  -67.9443325
 [6546]  -11.1193325   92.8056675  -39.7193325 -130.6693325  -72.8443325
 [6551]   22.0806675   19.1056675  198.2306675   77.3056675   58.5056675
 [6556]   66.4556675  105.2556675  -62.6943325  -35.7443325  -44.3193325
 [6561]  -75.0943325  -97.5943325   39.8806675   41.0056675  172.9056675
 [6566]  -88.4443325   34.6806675   57.9056675  -32.8943325  -51.6193325
 [6571]   58.5056675   70.4306675  -89.0443325  -76.1193325 -225.3443325
 [6576] -150.3943325  -35.1193325   12.4306675 -113.3193325  138.0806675
 [6581] -201.2443325  134.7556675 -100.8193325  143.5556675   -4.3443325
 [6586]  -13.2943325   17.7056675    8.3306675   87.9056675   93.2806675
 [6591]  -49.2693325   -1.7443325  110.2556675  -10.5193325   63.9056675
 [6596]  -22.3693325    8.7556675  -53.1943325  219.0806675  -60.6943325
 [6601] -101.7693325    8.5306675  105.8556675 -152.0443325  -98.7443325
 [6606]   23.5056675  -45.9443325  181.8806675   74.7556675   -5.1693325
 [6611]  -59.5193325 -110.3943325 -128.3693325   52.1056675   56.6556675
 [6616]  -90.4443325   22.7056675   52.7806675 -216.4443325  -47.1193325
 [6621]  -13.9943325   65.7306675  137.3806675  176.3806675  130.2056675
 [6626]  -42.9943325  -55.6943325  122.9556675  342.3806675  149.6556675
 [6631]  110.7306675   78.4806675  198.9306675  -58.4443325  155.5306675
 [6636]  -28.6443325   27.1056675   -3.9693325 -136.3443325    0.8306675
 [6641] -165.2193325  -90.3193325  145.3556675   42.1556675   -2.8193325
 [6646]   99.4806675  -46.3943325   -0.9693325 -137.2193325  -73.1443325
 [6651]  -10.7693325 -136.8193325  181.5556675   -3.6193325    4.9806675
 [6656]   34.2806675   50.7056675  -52.7193325  128.3306675  -28.4693325
 [6661]  -47.1693325 -194.5443325   64.8056675   -9.3193325   12.3556675
 [6666]   21.1556675 -108.6943325  129.7056675 -121.6443325  -34.8693325
 [6671]  -44.5943325  -49.5443325  -42.6443325  211.9806675  -46.9443325
 [6676] -204.6943325  -79.5193325  344.5556675   59.1556675  102.4556675
 [6681]  196.0056675  -97.3693325  -29.3943325 -134.8693325  142.4056675
 [6686]  165.6306675   91.0556675   -3.4443325  108.0306675   68.6806675
 [6691]   35.3556675   27.2806675  -93.3943325   17.2306675  -34.1943325
 [6696]  222.8056675   84.9556675  -66.8443325 -124.7943325  -14.0193325
 [6701] -133.7193325  210.3556675   35.3306675   34.7056675   22.3306675
 [6706]   82.4056675    1.2806675 -104.2193325  -57.3193325 -120.1693325
 [6711]   34.0556675  -77.1693325   77.2056675   80.7556675 -101.3193325
 [6716]  190.3306675  -71.6943325   48.3806675  227.7306675 -117.0443325
 [6721] -196.9943325   50.3056675   78.6306675   63.1556675  326.7806675
 [6726]  -34.3193325  -89.8693325  148.8556675  -61.1193325   99.1806675
 [6731]   52.9056675  168.1556675   17.4306675  -76.0443325   62.4306675
 [6736]   38.4806675 -156.1693325   -4.6193325   14.7056675   24.2556675
 [6741]  -52.9943325 -213.6443325  -57.4443325    0.9306675   17.0056675
 [6746]  141.8556675 -136.3443325   42.7056675   12.3306675 -103.7193325
 [6751]   41.4306675   61.9806675  141.9556675  181.0806675 -121.3193325
 [6756]  -71.0693325  158.6306675 -116.0193325 -161.1693325 -156.0193325
 [6761]  -99.7443325  157.3556675  -68.7193325  -44.6193325   79.7556675
 [6766]  140.2056675 -108.6693325   23.7806675  145.3306675  -36.5193325
 [6771]   89.0056675   50.0306675   97.8806675   27.3806675  -27.9693325
 [6776] -223.4693325   43.1556675  234.9306675   23.4306675  -69.6693325
 [6781] -112.7443325 -109.7693325  155.6306675   83.0556675  -96.5943325
 [6786]   24.6306675   60.8306675    9.3556675  121.1056675  -64.4193325
 [6791]   88.1056675 -105.0193325  -42.9943325  -22.3693325  -48.7193325
 [6796]   15.9556675   59.7806675 -111.6693325   90.2556675   76.5056675
 [6801]  -74.9693325  125.6806675   74.1806675   47.4306675  -38.5193325
 [6806]   86.0306675   39.1556675   75.4806675   14.2556675 -144.3943325
 [6811]  -66.4693325   89.6306675   27.7806675  -52.3693325  -92.1193325
 [6816]   -4.0693325  -73.4193325   -3.6443325   18.9556675   92.1556675
 [6821]   24.3806675  126.8556675   74.9306675  -66.6443325  -93.4443325
 [6826]  -46.7693325   60.1306675   40.7806675   23.2056675 -132.5443325
 [6831]  112.5056675   69.1056675  112.6556675   22.4556675 -106.2443325
 [6836]    0.9306675  -70.2943325  105.5056675   56.0056675  -95.0693325
 [6841]  113.4306675   15.1056675    2.3306675  -36.8943325 -128.5693325
 [6846] -124.3943325  152.9306675  -66.0443325 -136.9443325   -0.9693325
 [6851]  224.6306675   37.9556675   -9.2193325   93.8806675   67.2306675
 [6856]   28.9056675   10.5056675  -81.1943325  182.1056675   23.6306675
 [6861]   98.6806675  -18.1193325   49.5306675  222.7806675 -243.4943325
 [6866]    5.5556675   12.6306675 -110.0943325 -114.5943325  -72.3193325
 [6871]  -93.2443325  -88.0943325 -213.7693325   26.8806675  153.8806675
 [6876]  152.1056675   84.1306675  123.5306675   24.6556675  -40.6443325
 [6881] -145.6943325   -6.9193325   13.9056675  -98.5943325  -23.4443325
 [6886]   60.4806675  -67.9443325  112.5306675    6.8056675   58.8306675
 [6891]  -36.1443325  -15.8193325 -142.7693325  135.9306675   61.9056675
 [6896]   55.9306675   66.0056675   -1.7193325  123.2806675  -61.8193325
 [6901]  -16.5943325  -33.5193325  132.5056675 -146.8943325  -42.8693325
 [6906]  -20.6193325  219.6806675  102.8556675  -80.5943325 -128.4193325
 [6911]  -12.6693325 -203.1693325  -42.1193325   44.7306675  127.6306675
 [6916] -117.4693325 -193.1443325  -47.4193325  -60.7693325  -14.8943325
 [6921] -169.2693325  -28.6943325  -12.3943325    6.6306675   94.9806675
 [6926]   18.8306675   40.1806675  122.2306675 -142.7193325  -70.3443325
 [6931]  -42.9193325   81.0806675  -63.2193325   47.8056675  -36.9943325
 [6936]  -15.4443325   -7.6193325  -99.7943325  -42.3693325 -120.5693325
 [6941]   -0.1943325  -36.3443325   44.1806675   18.5556675  212.2556675
 [6946]   69.1306675  -61.5943325 -140.6193325  165.4806675   60.5806675
 [6951]  185.8306675  134.5556675  135.7056675   27.4556675   60.3806675
 [6956] -267.2693325  -58.9943325   84.6806675   47.7556675  -17.5443325
 [6961]  -65.7943325  -31.8943325   38.0556675 -144.2443325   83.8056675
 [6966] -184.6193325  -20.3943325 -202.4943325  -37.4443325  133.5556675
 [6971]   -9.0443325  -97.1943325  146.1806675   -7.8193325  -60.0193325
 [6976]  -70.6193325   16.9056675 -143.4693325 -185.7693325  164.4806675
 [6981]  -84.8193325  157.2556675  139.1056675   22.4556675  -91.8193325
 [6986]    5.0306675   27.9556675 -135.2193325  182.8056675   88.3556675
 [6991]   80.5806675  233.3056675   -7.1193325  221.8306675   43.7806675
 [6996]  153.2306675 -158.9693325   74.8306675  -58.5943325   67.9806675
 [7001]   14.4306675  -64.3693325  -17.2693325 -104.9443325  196.4306675
 [7006]  111.2556675 -202.8193325  -92.5443325   56.4556675 -264.9193325
 [7011]   55.4806675  158.4306675 -134.9943325  -57.9693325  -25.4943325
 [7016] -117.9693325   12.6056675  290.5556675    8.3806675 -116.1693325
 [7021] -154.0443325    8.4556675   36.1806675   97.6056675 -283.7693325
 [7026]  -37.5193325  206.1806675   60.0806675  120.6056675  -80.1193325
 [7031]   27.6806675  -43.0943325 -201.9443325   36.4556675  245.4306675
 [7036]  179.4806675 -151.4693325   60.3806675  268.8306675   94.3306675
 [7041]   84.6556675   77.4306675   -3.9443325 -182.4193325 -101.7943325
 [7046]  -22.1943325  -42.6193325   47.5056675  264.4306675   -9.7693325
 [7051]   58.6556675    1.1806675  -15.2693325   12.1806675  134.7806675
 [7056]  -23.0443325   35.6556675  106.8306675   47.4306675   44.5556675
 [7061]  -54.7693325   69.7556675   -8.2943325   15.6306675   35.5556675
 [7066] -121.9693325 -126.3193325 -185.5943325   25.2556675 -147.6943325
 [7071]   77.8806675   25.2056675    6.5806675  -76.4443325   94.6306675
 [7076]  211.3056675  181.9306675 -109.0693325  -86.6443325   -2.8443325
 [7081]  167.1056675   90.5806675 -170.8693325   60.8806675  -22.6943325
 [7086]   21.4556675  -88.9443325  128.0806675   36.8306675  100.6056675
 [7091]   92.1306675   29.4556675  177.9306675  -61.4693325  -50.2693325
 [7096] -167.2193325   94.1806675  -61.7943325 -199.0943325  -14.6693325
 [7101]  129.1056675   -3.0693325  -18.7193325   90.2806675   27.4306675
 [7106]   75.5056675   71.2056675  248.1806675  -80.0193325   96.8056675
 [7111]    3.2056675   95.7056675 -201.6943325  140.5056675   31.8306675
 [7116]  -37.3443325   68.8306675   -2.0193325 -122.3943325  -73.8443325
 [7121]   65.1556675  -13.6443325  197.3056675   96.3806675 -160.6193325
 [7126]  -91.0943325  -93.6443325  -19.6943325   29.2556675   37.1056675
 [7131]  -22.9443325   65.8556675 -124.3693325  -38.3193325 -120.2193325
 [7136]  -12.0943325  -53.2693325  -30.6943325  -42.3193325  -52.7443325
 [7141]  -33.6443325   66.7806675   54.5556675  150.5306675  113.9806675
 [7146]  -23.4443325   62.2306675 -169.0693325   29.4306675   50.0306675
 [7151] -148.3443325   74.9056675  -75.2943325 -264.4693325    6.0056675
 [7156] -101.8943325  -93.7943325   64.6306675  137.0806675  106.4056675
 [7161]    0.7806675  194.9556675  189.6806675   -2.8193325  -29.6443325
 [7166]  134.6056675  150.5556675   38.9306675  195.1806675 -156.9193325
 [7171]   67.8556675 -108.1193325 -125.2193325  115.3306675  -59.9443325
 [7176]  -50.4443325 -153.7193325  -77.0193325   52.3306675  196.8806675
 [7181]   76.5556675  -85.5443325   -9.2943325 -102.1443325  -66.7193325
 [7186]  100.0556675 -221.9193325  -71.0943325  -91.4693325    7.5806675
 [7191]  -79.4693325    1.7806675  -24.7193325   47.9806675 -200.5193325
 [7196]  -41.1443325   52.4556675   58.5306675    4.3306675 -226.8693325
 [7201]   51.0056675   37.5056675 -317.0693325 -183.3693325   69.5556675
 [7206]   27.1806675  -81.9443325   38.3056675  -87.5193325 -107.1943325
 [7211]  113.0556675 -127.0693325  133.4056675  -83.7693325  -57.8943325
 [7216]   -2.7193325  143.5806675   89.7556675   16.5556675  209.5556675
 [7221]  -91.7443325 -199.1943325  204.2806675  -26.5693325   21.3806675
 [7226]  -59.8693325  166.3056675   40.3056675  -62.3443325  -64.5693325
 [7231]  -46.4693325  -69.9693325  -74.7693325    8.5556675  100.4306675
 [7236]  -53.7193325  -43.1943325   76.3556675 -131.3693325  110.7306675
 [7241]   54.2306675  -67.4943325 -106.9943325  268.9056675 -185.7193325
 [7246]  -26.2693325  -56.9193325   62.7806675  -25.1443325 -149.4693325
 [7251] -258.9443325 -253.9443325  174.9806675 -148.9943325   73.2306675
 [7256]   66.2806675    0.9556675  -12.0693325 -110.0693325   68.7056675
 [7261]   42.8056675   39.2556675  -90.3193325  112.7056675  133.9056675
 [7266]  -39.5193325 -271.9943325  -33.8693325 -109.5693325   70.4806675
 [7271]   23.0806675   91.5056675  158.0556675 -118.9193325   77.9806675
 [7276]  -80.1443325  -85.1943325  210.6306675  -11.1193325   41.9056675
 [7281]   15.3056675    5.3306675    8.3056675    6.2306675  -49.5943325
 [7286]  111.6806675   24.3056675  134.9056675   28.0556675   -6.6193325
 [7291] -129.0693325  -60.4943325   77.5056675   61.7306675 -126.3443325
 [7296] -109.0693325  -51.7943325  -29.7693325  139.2056675  -62.7943325
 [7301]  157.3806675 -103.7693325 -100.5193325  226.3306675   70.5556675
 [7306]  165.1556675  266.8306675  -91.9943325 -144.9693325  171.7556675
 [7311] -143.3693325   -5.9943325   14.4306675 -133.4443325 -107.9943325
 [7316]   99.6306675 -156.6443325 -126.3943325  -60.6443325  100.1806675
 [7321] -160.9943325 -218.6693325   41.3806675  -26.8693325   93.5306675
 [7326]   33.6556675 -228.5443325  214.3556675  -20.2193325  102.2806675
 [7331]  -82.4193325  -10.6693325   -0.4443325    6.4556675  -34.8193325
 [7336]  -45.7943325   10.4056675  117.0556675   21.0806675  149.8806675
 [7341]   51.6306675  -55.4193325   48.6556675  145.5306675  -34.6443325
 [7346]   38.6056675  -99.5443325  -29.8693325   96.8556675   17.9056675
 [7351] -118.7693325  -10.1693325 -153.9943325  120.6806675    7.6056675
 [7356]   33.4806675 -202.6693325  -42.2693325 -141.1693325  403.2806675
 [7361]   71.2306675   29.8556675 -125.5943325  -93.7193325  -86.2693325
 [7366] -209.4943325   -2.6943325 -127.3693325  128.7056675 -183.7193325
 [7371]  -57.5693325 -161.2193325  -68.9943325   22.7306675   -4.6443325
 [7376]   30.0306675 -178.0443325 -257.7193325  -76.4443325   99.3056675
 [7381]  -30.9193325   93.9556675   18.5556675  -71.3193325   45.9306675
 [7386]  -82.1693325  -68.6443325  109.6306675  -32.3193325  -20.5443325
 [7391]  -51.3443325  142.7056675  -34.7443325   63.3556675  -19.2443325
 [7396] -245.3693325 -110.5193325    7.4556675   48.4306675  134.7556675
 [7401]   47.9556675  155.7056675  -24.8443325  192.5806675  123.0306675
 [7406]  -34.8193325 -105.2943325 -288.5943325   -0.2443325 -172.1443325
 [7411]  120.7556675  260.8806675   65.4806675 -105.7693325   37.0056675
 [7416]  109.9806675   -7.8443325 -109.0443325 -176.6193325  -39.1443325
 [7421] -164.0693325    7.4306675  -44.7943325    2.6556675  185.7806675
 [7426]   28.0056675   -9.4193325   97.6056675  -41.3943325  -40.7943325
 [7431]   -7.7943325  -52.4193325  174.8306675   48.6556675   25.8806675
 [7436]  229.2306675  -34.1693325  209.0556675    3.0056675  -34.3193325
 [7441]  267.0806675   58.5306675   62.7806675   -2.1693325   79.3056675
 [7446]   79.1306675  216.0056675    8.4306675  -71.3193325  -16.1193325
 [7451]  -86.5193325  -83.3443325 -114.6943325 -117.7193325  214.6056675
 [7456]   88.3306675   86.4556675   43.5806675    6.3806675  -63.8193325
 [7461]   33.4556675   32.8806675 -124.9943325  -49.6943325  129.5056675
 [7466]   31.7806675   65.9806675   -0.8443325   -6.6193325  -74.8943325
 [7471]   -3.9943325  107.0056675  140.4806675   -5.5693325  -25.3443325
 [7476]  -29.2943325  -65.5693325  139.9306675 -103.9443325   17.2056675
 [7481]   57.1556675  -57.0943325 -193.2943325   55.2056675   74.2556675
 [7486]  102.4306675  -95.3193325  -37.1943325   70.9556675  160.5556675
 [7491]   78.1306675  107.8056675 -140.9693325  -22.7943325   67.5556675
 [7496]  -57.0943325 -146.3943325   -8.6943325   76.4306675 -152.7193325
 [7501]  143.9806675  -12.6943325  -59.8193325   31.5806675  -18.6943325
 [7506]  209.7306675  -46.4193325  -91.2443325   -5.5693325  117.1056675
 [7511]  181.7556675  -72.7193325  -36.8443325  -60.3443325  -46.9693325
 [7516]  -28.4443325 -219.2943325 -205.6943325 -140.6943325   37.8806675
 [7521] -136.0943325  149.7556675   84.4056675   68.5556675  169.9806675
 [7526]  -59.8693325   -5.1693325   81.0306675 -186.6693325 -167.8693325
 [7531]   83.8806675  -54.4193325   66.7556675  -29.5443325  132.1556675
 [7536]  106.9306675 -130.1943325  157.8306675 -103.4943325   46.0556675
 [7541]  -99.6193325 -200.9943325   66.3306675   12.2056675   -6.9193325
 [7546]  -48.3443325  -42.5193325  207.2556675   64.0306675  163.8056675
 [7551]  134.6806675  -35.1443325  -61.0943325  203.3056675   14.5806675
 [7556]  -44.5193325   50.9056675    9.2556675   24.4806675    2.0556675
 [7561] -189.5193325   -5.4943325  -62.2943325   24.9056675  115.9056675
 [7566]   13.7556675  -35.9943325   12.4306675 -101.2943325 -113.7193325
 [7571] -129.3193325  -75.4943325  111.1556675  -31.1193325  -46.9193325
 [7576]  -57.1193325   35.3806675  -30.2193325 -267.3943325 -138.7943325
 [7581] -134.3943325 -137.9693325 -136.3693325   80.0806675 -132.4193325
 [7586]  131.5806675  230.1056675  -93.4693325  119.5306675  -22.3693325
 [7591]   10.3056675  -58.6193325 -247.8193325  199.5056675  -10.3693325
 [7596]  -59.7193325 -174.5443325  297.5056675 -201.4943325   43.1306675
 [7601]   41.8056675    6.8556675   47.3056675  -16.2443325  -20.8443325
 [7606]  139.7056675  151.7806675   75.0056675  249.2056675  153.3556675
 [7611]  -36.2193325  128.0056675  -57.4693325   56.0056675 -185.2193325
 [7616]  -99.8193325  202.7056675   67.8556675   45.8056675  -38.9693325
 [7621]   50.5056675   53.4056675 -167.3193325  236.2306675   16.4556675
 [7626] -144.4193325   18.5056675 -108.8693325   19.4056675   86.6556675
 [7631]   68.0306675  -80.5943325  -25.4443325   38.8806675  253.8556675
 [7636]  125.9056675   26.4056675  -56.9193325   24.8056675   19.8556675
 [7641]  -47.4693325  101.9306675   80.2056675  139.6056675  203.9556675
 [7646] -140.5943325   31.9806675 -148.2693325  -85.2943325  -43.7443325
 [7651]   32.5556675   13.8306675   61.5556675 -152.4193325  255.0306675
 [7656]   46.2806675  -39.2193325 -140.5443325  217.3556675    1.3806675
 [7661]    2.9056675   54.0056675 -103.1193325  -94.4693325  -41.6943325
 [7666]  165.4306675  149.6556675   15.7556675 -170.4943325   23.2306675
 [7671]  101.3556675   47.8056675   -0.5943325  117.0806675   64.6306675
 [7676]  -74.7943325  -78.6193325  -56.9693325  -44.9443325  221.7306675
 [7681]   82.5556675  149.2056675  -38.5943325  -73.0443325   34.3806675
 [7686] -153.5443325   20.5056675   -7.6693325  -12.7943325  120.0306675
 [7691] -110.4943325  220.0556675  -17.7193325   13.7056675  -73.3193325
 [7696] -177.0193325  147.8806675 -116.0443325 -142.6443325   50.5806675
 [7701]   -2.8693325  180.9806675  158.6806675   44.1306675  -67.7193325
 [7706]  -24.3693325  -71.4943325  313.5556675   69.5556675   11.8556675
 [7711]   57.0806675   26.2306675  -81.1693325  -26.2193325  134.9306675
 [7716]  -12.5693325  -26.6193325 -126.2943325 -119.7443325  -12.1943325
 [7721]  397.7306675   -5.3443325  -85.3693325  -98.7693325  201.0556675
 [7726]  -12.2693325   98.0306675  132.3306675   17.2556675   34.0056675
 [7731]   88.2806675   41.9806675   70.3556675   26.2556675  -56.9443325
 [7736] -129.7693325  141.3556675  102.2556675  -56.2693325  -37.9693325
 [7741]  -26.3693325  -27.8943325  -82.8693325   44.1556675   30.3306675
 [7746]   70.2056675  160.8556675 -176.4193325 -124.2193325  -95.1943325
 [7751] -183.5943325  -86.3443325  144.5556675  212.6556675   70.2556675
 [7756]   91.9056675  121.8306675   -0.1193325   63.9806675    6.4056675
 [7761]   40.1056675  -64.5943325  281.0056675   15.2306675  -73.0943325
 [7766]   69.1806675  149.0556675 -192.4193325   66.4806675   75.1556675
 [7771]  -38.8193325   34.2556675   12.8056675  -23.0443325 -110.7193325
 [7776]   78.2306675 -274.2943325   39.9306675  -59.6193325  -23.4193325
 [7781]   23.4556675 -103.1443325 -149.5943325  -41.2943325   87.9556675
 [7786] -103.5193325 -259.1443325  159.7556675 -130.8943325  -79.1943325
 [7791]   70.7806675  -79.4443325  -99.7443325   33.8556675 -132.2443325
 [7796]  109.1806675 -135.5193325  180.4556675   29.4306675  -43.6943325
 [7801] -126.5693325  -31.9193325   15.9306675   21.5306675  -44.8943325
 [7806]   35.0556675   90.6056675 -228.3443325  -56.1943325  200.9306675
 [7811]   34.5056675   39.5556675  114.3556675  -12.8193325    2.5806675
 [7816]  -19.7943325   96.5056675  208.8056675  -49.9693325    9.9056675
 [7821]  -51.5693325   20.1556675   99.2306675   70.8806675   61.4556675
 [7826]   34.0806675 -139.8443325 -130.0693325  -82.6193325   46.1806675
 [7831]  -31.4693325   38.3306675   96.2556675  164.7306675    9.9806675
 [7836]   38.3806675 -285.0693325   20.5306675    3.7306675 -178.7943325
 [7841] -245.1693325  272.0556675   21.3056675 -236.2193325  155.3806675
 [7846]   60.7306675  323.3556675  -77.2443325 -103.1443325  -67.2943325
 [7851]  115.4556675   96.8806675  341.3556675   80.7056675   -8.7443325
 [7856]  -55.2443325  114.9056675   12.3306675 -148.5693325  192.2056675
 [7861]  -26.3443325   62.7306675   23.4306675  224.2556675  163.7556675
 [7866]  148.7806675  145.5556675 -116.7943325  121.5806675  -51.8943325
 [7871]  -96.8193325  108.7806675   11.7306675 -108.6693325  184.8806675
 [7876] -178.8443325  -45.3943325   38.4806675 -166.6443325   11.5056675
 [7881] -105.9193325   42.2556675   88.6806675   -8.4193325  118.4306675
 [7886]  114.2806675  -84.5193325 -106.9443325   20.8806675   81.3306675
 [7891]  186.3556675 -143.5693325  -24.7693325   19.2806675  -56.1193325
 [7896]  102.1806675  -24.8943325   20.6556675   57.0806675   42.1056675
 [7901]  123.0056675  166.8556675  187.9806675 -189.3443325 -197.8193325
 [7906]  -64.4693325   39.4056675   32.4556675  -43.4693325  -89.6443325
 [7911]  -70.6193325  -15.4693325   96.9056675  -14.6443325 -117.8693325
 [7916]   -5.3193325 -112.3193325 -178.3443325 -109.7193325  -41.0443325
 [7921] -282.7693325  124.0556675   71.8806675  -54.1943325  173.1556675
 [7926]  217.8306675  -42.6193325  157.3806675   10.3306675 -165.4943325
 [7931]  -64.4693325   43.0306675  165.9556675   93.3306675   14.1806675
 [7936]   58.4056675 -336.7443325  -75.4193325 -149.5943325   63.3056675
 [7941]  140.1806675 -122.1193325  -75.2443325   19.2806675   96.1056675
 [7946]  -10.8943325 -107.5943325  242.2056675  -73.3443325   97.4306675
 [7951]  -23.7943325   79.0056675   50.9806675  269.2306675  -44.3943325
 [7956]  -32.5443325  -68.9943325  249.5056675 -241.7693325  109.2556675
 [7961]  188.9556675  -16.7193325 -128.7693325   90.6806675   37.2306675
 [7966]  -93.7693325   84.6306675  -76.9943325   -9.1693325  -50.6693325
 [7971]  -55.3943325  -15.6443325  -15.9443325  -99.6443325    0.5056675
 [7976]  147.3806675  115.9556675  -27.3193325   79.5556675  -71.4943325
 [7981]  -89.2943325   89.6056675 -119.8943325  -57.8693325  133.9556675
 [7986]  137.1556675   97.0306675  190.4056675  239.9306675  174.8556675
 [7991] -101.2193325   -7.5693325 -149.7693325   12.0556675  187.2556675
 [7996]  193.8306675   47.2556675  -99.3693325  138.9306675  177.7306675
 [8001] -183.5193325   35.8556675   32.7806675   38.7306675  187.4556675
 [8006] -160.2943325  139.1306675   -7.0193325   75.9056675  143.5306675
 [8011]  129.0806675   43.6556675 -179.7943325 -105.6443325  -26.0693325
 [8016] -144.5693325  176.4306675  -67.2443325   22.4556675   48.4306675
 [8021]  147.4556675  -12.0943325  -69.2443325  -25.2943325  102.0556675
 [8026]   -2.3443325  159.8056675  -31.0193325   51.5056675  -48.2943325
 [8031]  -49.6693325 -108.5443325  122.2056675 -256.4693325 -150.2193325
 [8036]    3.9806675  -54.8693325  -81.9943325  -75.7943325  114.9556675
 [8041] -157.6943325   13.6806675  164.5306675   44.6806675 -218.0443325
 [8046]  -74.8443325   -5.2693325  -95.8943325  218.2806675  118.2556675
 [8051] -333.7693325 -282.3943325  -55.6693325   -9.3943325 -115.7193325
 [8056]    3.5056675  107.7806675  134.2556675  -38.2443325  -16.8693325
 [8061]   50.6056675 -123.8943325  -13.0943325  -67.0693325  197.6306675
 [8066]  151.2056675  121.7806675   -5.5443325  -95.4193325 -167.1693325
 [8071]  -69.0193325  126.3556675  101.9306675 -181.8693325   76.6556675
 [8076]  -68.4943325  -85.9443325 -168.9693325 -134.4443325  -66.2193325
 [8081]  125.6806675 -112.3693325 -154.9193325 -187.4693325 -172.3943325
 [8086]  169.3806675  223.7806675 -128.0693325  159.1306675  -77.9943325
 [8091]   37.4556675  -39.2943325  -76.5693325 -352.5443325  -15.2443325
 [8096] -130.1193325 -144.1693325  -79.0693325 -102.9193325  -88.1443325
 [8101] -144.8193325  -24.6693325   97.4056675 -164.7443325   12.7556675
 [8106]  -47.6693325   70.9556675   13.4556675  122.9056675   25.4056675
 [8111]   90.5056675   82.4306675  197.7306675   88.5556675   88.8056675
 [8116]   86.3306675  191.1306675 -188.1193325   34.7806675   -1.0943325
 [8121]   89.6806675 -208.6193325   26.3806675 -227.8443325 -207.0443325
 [8126]  -25.5693325   34.4806675   99.6306675  -52.0693325  -56.6443325
 [8131]   51.4556675   92.7806675   -8.0693325   32.0556675  130.1806675
 [8136]  -54.4693325 -151.7943325  131.0556675  157.6056675  -32.7193325
 [8141]   23.1056675 -235.4693325    7.8056675  214.8056675 -132.0443325
 [8146]   12.4056675    9.4306675   12.5556675  -20.5193325   97.0556675
 [8151]  110.1806675  -56.7943325   73.0556675   34.3306675   92.7806675
 [8156]  153.6306675    6.6556675   16.2056675   38.4056675   72.0806675
 [8161]  -72.9943325   48.4806675 -317.8693325   35.1806675  181.1056675
 [8166] -174.5193325  -67.6693325 -139.8193325   73.4806675 -111.0943325
 [8171] -181.3193325 -165.9443325  -97.6443325   25.6556675  -75.5693325
 [8176] -131.7943325  -25.4693325  -86.6693325  -15.6693325   55.9306675
 [8181]   16.3556675   79.2306675   54.7806675 -190.3693325  -56.7693325
 [8186]  197.6806675   52.2806675 -155.2943325   59.4056675 -174.9443325
 [8191]  153.8806675 -139.0193325  -60.1193325   41.7056675  -74.1693325
 [8196]  272.7056675   -4.3943325   34.1806675 -109.9193325   20.5306675
 [8201]  -27.5943325  329.3556675  -15.2193325   59.0306675 -137.3943325
 [8206]  -96.3693325   83.6056675 -182.9193325   21.1056675   69.6306675
 [8211]  143.9306675 -118.1443325   84.5056675   63.5556675  112.2556675
 [8216]   -4.7943325  -12.1193325  -76.0943325   94.2556675  -54.9693325
 [8221]  -54.3443325    5.1556675 -103.6443325  -83.5693325  -85.4443325
 [8226]  169.4306675  199.8306675  -65.2943325  -61.8943325   88.4806675
 [8231]  -53.0943325  191.9056675  -44.2443325  117.2556675  -37.4193325
 [8236] -178.5693325  202.5806675  192.6306675 -173.9443325  118.8306675
 [8241]  -24.1693325   48.3806675  232.5306675   18.9056675   48.0306675
 [8246]  107.4306675  138.6806675 -277.1193325  -70.0193325   77.2056675
 [8251]   15.6056675  -62.1693325  -39.2943325  -98.0693325   66.8306675
 [8256]   62.8306675    1.9306675 -173.8943325  206.8556675 -117.7943325
 [8261]   -8.2443325  132.0556675  -53.2193325   97.7556675  -46.3443325
 [8266]   69.1306675  218.6056675  -69.6943325  200.0806675    1.4556675
 [8271]  -66.8943325  238.0556675  112.6806675  273.4056675  -27.2943325
 [8276]   47.0806675  152.2806675   16.1806675   66.4056675  -42.4193325
 [8281]  179.7556675  -22.5693325   49.4306675   38.9056675   81.8056675
 [8286]  -38.3943325  -95.3943325   89.9306675 -173.1443325  -36.9693325
 [8291]   91.3306675   98.0306675 -101.4193325  236.8306675    9.0306675
 [8296] -166.6693325   88.1556675  329.1806675 -155.5693325  -18.3443325
 [8301]   90.3806675  -79.9943325  -81.6943325 -174.8193325 -169.3943325
 [8306]   18.9556675   99.7806675   79.1056675  186.0306675   13.8306675
 [8311]    4.2056675  156.4056675  -16.4693325 -144.9443325  -56.6193325
 [8316]  302.4556675  -41.5443325  -24.4193325  -41.1443325   15.3306675
 [8321] -102.1193325 -202.0943325   97.1556675  -86.8943325  -30.4693325
 [8326] -133.0443325  -78.4443325  106.3056675  142.4056675   21.8806675
 [8331]  125.1556675   -9.9693325  -69.5443325  -14.7443325  -60.2943325
 [8336]   14.1056675  143.3556675   -4.4193325  -79.7943325  -66.4693325
 [8341]   39.2056675  -80.2943325   86.4056675   31.9056675   63.0806675
 [8346]  211.8806675 -172.1443325 -154.9193325   95.3056675  101.2806675
 [8351]  122.2056675  109.2306675   66.0056675  156.9806675   17.4056675
 [8356] -102.7193325 -169.9943325   21.0056675   98.6556675 -233.6193325
 [8361]  -48.2943325   -6.7693325  -18.4693325  189.0056675   30.5306675
 [8366]  -80.7443325  268.7306675 -169.6943325  -31.1693325   99.5806675
 [8371]  -99.0193325   67.5806675  112.7806675   31.3056675   65.8056675
 [8376] -107.5193325 -114.1193325   -1.7443325    0.1806675   33.8056675
 [8381] -146.2443325   43.7056675 -132.2943325  -53.1443325  -59.1443325
 [8386]   62.4306675   23.6306675   76.4806675   38.0056675 -129.8693325
 [8391]   50.3306675  -92.8193325   -0.5943325  -55.1443325   53.3556675
 [8396]  -99.5693325  -39.9193325  -50.1443325  -56.2443325  -75.4943325
 [8401]  287.2556675  -33.2193325   69.6556675  -96.8943325  -80.1193325
 [8406] -172.6443325  103.2806675  -54.9943325  196.6556675  147.0306675
 [8411]   46.2056675 -180.0193325  135.0056675  -47.6193325  -63.1943325
 [8416] -139.2443325  -81.0943325 -134.4443325  227.1056675   57.5306675
 [8421] -129.1693325   96.7556675  -41.6943325  144.4556675   22.3806675
 [8426]  -43.7693325  142.5056675   53.1556675  -59.3193325  -33.4693325
 [8431]  166.0056675 -147.8443325   20.6056675   40.7056675  -96.4693325
 [8436]  145.5806675  -74.5943325 -246.6193325   53.2056675   30.9056675
 [8441]   66.9556675  161.9306675 -235.6193325 -147.4193325  -73.3193325
 [8446]   13.2056675 -133.1193325 -112.9193325  195.9556675  -65.7943325
 [8451]   15.3306675  118.3806675   -6.4943325  120.8556675  -27.4943325
 [8456]  112.5806675   76.1806675   44.4556675  -32.9693325  213.9806675
 [8461] -142.7943325  105.2056675  -99.5443325   -9.0693325  171.0306675
 [8466]  -52.3443325  -52.5193325   -7.8693325  -58.5943325  131.5556675
 [8471]  162.9306675  -49.5943325 -148.2943325   73.0806675   43.9806675
 [8476]  -70.5193325  -61.3693325   96.7806675  -78.1193325   42.4556675
 [8481]   28.4056675  145.8306675    1.9306675  100.2556675 -298.1693325
 [8486] -138.6443325  -50.9193325   68.5556675 -264.5693325 -120.2443325
 [8491]  132.2556675  115.3806675  114.7056675 -163.8193325  203.9306675
 [8496] -134.1443325 -139.7693325  -17.0193325 -134.5193325  137.3556675
 [8501]   25.9306675  169.0556675  -40.5943325   49.9806675   75.8556675
 [8506] -118.9943325 -130.8193325  -42.1443325   31.5556675  147.2806675
 [8511]   63.7556675    4.9306675   94.0056675  -89.9443325   71.9306675
 [8516]  -98.3193325   39.5556675  192.8056675    5.9806675  -65.3943325
 [8521] -199.1693325   60.0806675  -52.7193325 -220.1693325  172.5556675
 [8526]  -22.2943325 -205.5693325  177.7806675  141.8806675  -35.5443325
 [8531]  101.6056675 -212.0693325  -35.6443325 -206.1693325  -54.0693325
 [8536] -186.3193325  -36.0943325  -39.0943325   85.2806675  167.9806675
 [8541]  -66.3943325  189.6306675  -76.2443325  -82.1943325  173.5306675
 [8546]   45.5806675 -376.8943325   91.1306675 -107.9693325  -70.1943325
 [8551]  112.5306675  -77.9693325   24.7556675  236.8056675   54.7306675
 [8556]  -91.7443325   10.8556675  -47.8193325  139.3306675 -169.9693325
 [8561]   14.3056675  -12.0693325   20.0556675  123.5056675   40.5056675
 [8566]  -46.7943325 -148.4193325  104.5056675  -46.0193325   58.1556675
 [8571]   49.9556675   46.9806675   59.3806675   22.6806675  -97.3943325
 [8576]   40.6556675  174.3556675   24.7556675  -58.3943325  -12.5943325
 [8581]  132.6306675  -83.2943325 -129.1693325 -110.4943325  -21.2943325
 [8586]   22.0806675   48.6556675  129.2806675    4.7556675   77.1556675
 [8591]   41.6806675 -119.3693325 -113.3943325   85.3306675  -46.0693325
 [8596] -160.6943325  125.9056675 -136.2193325   73.2056675  -76.0693325
 [8601]  -71.9443325  -20.8693325 -113.7693325  -75.8443325  230.3306675
 [8606]   37.3556675   13.4806675   -3.5693325   83.7056675  100.0806675
 [8611] -143.2443325  110.0556675  -41.0193325   51.9806675   38.5806675
 [8616]  -80.9193325   49.1556675  -34.0943325 -169.1193325   -2.1693325
 [8621]  -55.7193325  -72.0693325   24.7556675   39.2056675  -72.7193325
 [8626]   25.2806675   85.6806675  150.0056675  -77.3443325  -24.8443325
 [8631]  135.9806675  139.0056675   -6.0943325  -68.1693325 -129.0443325
 [8636]   76.5306675   72.2806675   90.1806675   44.8056675   59.7306675
 [8641] -130.8943325 -199.1443325  180.8806675  142.4556675  -43.6193325
 [8646]   -4.5443325  -69.2193325   45.0556675  -50.3193325 -206.5693325
 [8651]  109.9056675  -81.0443325    8.6306675  124.3056675  166.6056675
 [8656] -107.3443325  -84.8943325   33.5056675   14.3556675  -18.4443325
 [8661]  -91.9443325   21.6556675  154.1056675 -122.8693325 -120.4443325
 [8666]   54.3806675 -259.5943325   39.7056675   62.7306675 -140.2193325
 [8671] -144.1943325   81.8556675 -273.3693325   73.4806675  160.0056675
 [8676]  -77.5693325  -53.0443325 -139.0443325  139.0056675   81.2806675
 [8681]  125.4556675  127.7306675   31.5556675 -115.2943325  -97.0693325
 [8686]  -20.9443325 -102.5443325   81.7556675  -82.6193325   71.4556675
 [8691]  -40.0943325  112.3556675   -6.8943325   63.2806675 -100.2943325
 [8696]   10.6306675   45.3806675   15.6056675   28.2806675  -78.5693325
 [8701] -201.4693325 -109.1943325  -24.1693325  166.1556675  -25.7193325
 [8706] -119.2443325  102.9806675  216.9556675   71.7056675   81.7556675
 [8711]  -46.5443325  -64.9443325   -6.4943325 -137.8693325  243.1806675
 [8716] -125.9693325  208.1556675 -117.9193325 -205.2943325  -28.6193325
 [8721]  119.4556675   80.0306675 -137.9693325   -6.5693325  -27.1193325
 [8726]  -23.4193325   60.4806675  -16.5693325   48.9556675    8.1306675
 [8731]  -84.5693325  109.9056675   71.1306675   65.8306675  -42.0193325
 [8736] -133.6193325  -74.0943325  -95.9943325  -60.9943325  -32.3693325
 [8741]  -55.3193325  125.4306675  -15.1443325  105.0556675  105.7056675
 [8746]   77.2806675   88.6306675 -121.3943325 -121.0193325   37.6556675
 [8751]   42.4806675   75.6306675   97.5056675  205.2806675   32.9056675
 [8756]  196.6806675 -112.9443325   62.8056675   39.1556675   53.3056675
 [8761]   61.2306675  -30.2193325    9.3556675   47.6306675  -15.1693325
 [8766]   35.6556675 -194.7693325  111.5306675   15.8556675   66.7556675
 [8771]   10.1556675  -49.2193325 -174.0443325  -81.5943325   29.6806675
 [8776]  -89.3193325 -240.7193325   33.4306675    9.4306675   13.3806675
 [8781] -108.6943325   30.2556675 -159.6693325  -85.6193325   23.2056675
 [8786]  -83.7193325   -8.0193325 -220.4943325   30.7056675  135.0056675
 [8791]  -68.4193325 -192.2193325  163.4806675  -45.9443325   81.8556675
 [8796]   16.5306675  -92.5943325  -85.5443325  -42.2943325   37.5056675
 [8801]  -18.2443325   30.0556675 -151.1693325  -78.9693325   44.2056675
 [8806] -239.7443325  251.9806675    1.9306675  -61.7443325  -30.0693325
 [8811]  -58.8943325   35.9556675  165.3306675 -193.2443325   53.4556675
 [8816] -193.9943325   27.2806675  145.6056675  -33.6693325  -42.7693325
 [8821]  126.7306675 -244.4943325   52.1306675  -92.1693325   44.8306675
 [8826]  -50.6443325 -166.2693325  121.5806675  154.3056675  -51.0443325
 [8831]  -25.4193325   71.6806675 -156.2693325  -60.7443325  157.3056675
 [8836] -151.4943325  -14.7443325 -132.3193325  225.2556675  -66.6193325
 [8841]   27.4806675  156.0806675  -66.2943325  -73.4193325  -51.2443325
 [8846]   32.7556675  167.8806675 -176.3693325   95.3306675 -139.3943325
 [8851]  223.9056675   70.7806675 -159.4943325   30.6556675   26.0056675
 [8856] -118.4193325   14.6556675   44.4306675  -53.2193325   55.9056675
 [8861]   16.2806675  106.6056675  102.3556675   34.6306675 -132.6193325
 [8866]  -28.4693325  155.9556675   -3.3943325 -185.7443325   33.5306675
 [8871]  103.8056675  -63.9693325  -25.7943325 -119.7943325  -57.5943325
 [8876]  184.3056675  -22.2443325   21.7306675   44.0556675  191.0556675
 [8881]  -51.5943325  268.6056675 -144.2193325 -151.7943325  166.1556675
 [8886] -189.3693325    5.4056675   -0.8693325   66.9806675   74.7306675
 [8891]  118.0556675  104.1806675   80.0306675  111.9556675   -6.4693325
 [8896]  -23.1193325  -69.2943325  111.4306675  -49.3193325   45.7806675
 [8901] -152.3193325   71.0556675  -32.3443325  -64.5943325  -37.1193325
 [8906] -232.3943325  142.1306675  -31.5693325  155.6306675   25.9556675
 [8911]  -91.3943325 -142.8693325  -67.2193325  -27.7943325  -82.2943325
 [8916] -115.5693325  -67.2193325  -48.7193325   43.1056675  -49.1693325
 [8921]  206.1806675  -98.3693325  151.9056675   94.5556675  -96.1193325
 [8926]   80.7556675   73.1056675  -93.7193325  -11.3693325  147.4306675
 [8931] -162.9693325   94.0556675   56.2556675  122.7806675  124.2806675
 [8936]   37.1806675   11.7556675  229.2556675  -24.3443325  163.1556675
 [8941]    5.2556675  -30.7693325 -289.5943325 -431.3193325  223.3306675
 [8946]   -1.1443325  125.4306675  -95.6443325  -45.2193325 -124.4443325
 [8951]  -30.8443325  -70.8693325   71.1806675  -22.7443325  112.5806675
 [8956]  -95.8693325    1.5056675  -19.6193325 -193.7443325 -140.6693325
 [8961]  -97.5193325  158.9306675  -46.4193325 -155.3693325 -123.0693325
 [8966]    1.8806675   16.6306675  184.4556675    4.6806675 -140.2943325
 [8971]   -3.7693325   75.0556675   20.4056675   71.2306675  -84.2193325
 [8976] -141.4193325  -41.9943325  105.6556675 -223.2193325 -199.1193325
 [8981]  127.6306675  118.3806675  -26.3943325 -149.6943325  158.5306675
 [8986]  -15.7943325  -21.4193325  183.8056675 -120.3943325  125.9556675
 [8991] -200.7443325   -1.5193325  -23.7443325  -72.0693325  123.1056675
 [8996]  -81.1443325 -124.3443325  196.3556675  -46.6943325   20.9556675
 [9001]  138.9056675 -155.1943325  166.1056675   71.3806675   52.9056675
 [9006]   62.0556675  144.0806675  104.5306675  -49.8693325  183.1806675
 [9011]   -5.1443325 -139.9943325   24.0306675   59.4806675   20.3806675
 [9016]  -16.3443325 -179.1193325   45.9306675  132.4306675 -147.5443325
 [9021] -259.8193325  -33.8193325  -58.8193325  -61.5443325 -192.6693325
 [9026] -121.0193325   18.2556675  -59.2443325  256.5056675  160.9806675
 [9031]   64.8306675  -61.2693325   31.2806675 -152.6443325   40.1806675
 [9036]   31.3306675   79.0556675  100.5056675 -144.5443325  132.4306675
 [9041]  102.6056675 -106.7943325 -160.2943325  101.1806675    9.6806675
 [9046] -161.6443325   54.0556675   63.0306675   30.3806675  -16.6693325
 [9051]  116.0556675 -243.4443325   47.0056675 -188.9943325   95.7056675
 [9056]  162.3306675  -91.5193325 -141.2943325  -93.1193325 -141.3443325
 [9061]   39.9806675   67.5556675   14.2806675  -37.4443325  -35.8943325
 [9066]    5.6806675   93.9056675  -98.0193325  -66.3193325 -158.3443325
 [9071]   25.2556675  305.8306675  -44.7943325   35.8306675  -80.8443325
 [9076] -170.4193325 -239.0693325   69.9056675   93.5556675   39.5056675
 [9081]   52.9306675 -148.7693325  -34.4193325   76.4556675  -19.0193325
 [9086]   88.4806675  -12.9693325   85.5556675 -143.5943325   -0.7943325
 [9091]   18.0556675  -38.7943325  -65.3443325  175.9056675  158.2806675
 [9096]  -25.0443325  -48.5943325  -21.9443325 -136.7443325   85.6556675
 [9101]  -47.2193325   69.7806675  -48.4193325  -86.1943325  -48.3943325
 [9106]  188.4306675  -23.0943325  -22.2693325   94.6056675 -127.9443325
 [9111]  127.8056675    6.1556675 -229.9693325  -30.1443325  -20.7943325
 [9116]  107.3806675 -161.3193325  214.6556675  -81.6443325  -46.4943325
 [9121]  -42.1943325  158.3306675 -149.8943325  -78.7943325  -26.3943325
 [9126] -116.7193325   97.3556675   44.1056675  -46.5193325 -115.6193325
 [9131]   -8.0943325   71.8306675 -265.7693325   93.8056675  122.7556675
 [9136]   29.3306675  142.1306675   -3.6693325  -45.3443325   57.5806675
 [9141]  -86.1693325  224.6306675   -0.2193325  -93.6443325 -115.8693325
 [9146]   -6.2443325   73.0306675 -140.2693325 -120.7193325  -42.2693325
 [9151]  122.3306675   34.5306675  -13.6193325  -43.2943325   97.6306675
 [9156] -128.0943325 -156.5693325  -61.8943325  204.5306675  -32.0193325
 [9161]   78.2306675 -202.2193325  -48.5443325   -9.3693325 -144.0943325
 [9166] -164.8193325   87.8556675  -73.1443325  -43.6193325 -110.3943325
 [9171]   12.1556675   45.2806675 -124.1693325  -55.3693325   68.6806675
 [9176]  159.2056675  -17.8193325  138.3306675    5.5806675    6.1556675
 [9181]  244.8806675   45.5556675  133.5306675  -29.0693325   11.5056675
 [9186]  -32.9943325 -199.9943325 -134.2193325  -83.0693325   11.7556675
 [9191] -100.2443325  253.3056675   13.1056675 -121.6943325   31.9556675
 [9196]  -59.0193325   86.1306675  172.7806675  -54.0193325   43.4556675
 [9201]  141.3306675   33.3806675  108.3806675  -84.4693325  105.4306675
 [9206]  -60.3193325  134.6556675 -105.9193325    4.3306675    9.8056675
 [9211]   -0.3943325  168.3556675 -105.6193325   16.5306675  186.0556675
 [9216]   46.1556675    7.5556675  -13.2443325  111.1306675  -77.7693325
 [9221]   66.1556675   36.7806675 -122.7443325    5.8306675  159.1056675
 [9226]   47.1556675   50.2056675  -42.1943325   77.1306675   -3.8193325
 [9231]  -28.7943325  107.5806675  134.3556675  117.1056675 -116.6443325
 [9236]   -1.7693325  -32.3693325 -114.0693325  -35.7693325  -66.9693325
 [9241]   42.8306675   44.3806675  225.3056675   31.7306675 -104.6443325
 [9246]  -93.9693325  -51.4193325  111.7806675   50.3556675  176.5306675
 [9251]    6.4556675  113.9306675   82.1806675   96.8056675  -23.0193325
 [9256]   52.1806675  -14.0443325  169.1556675  117.3306675  -12.6693325
 [9261]   -5.9443325   63.8056675  103.8306675  105.1306675 -118.2693325
 [9266]  -71.4193325   20.3556675  110.0556675    0.9556675  104.0306675
 [9271]  -60.5443325 -252.3443325 -115.8193325 -100.9193325   17.0306675
 [9276]  -44.6193325   -9.4443325   62.1806675 -151.6943325  181.7306675
 [9281]   35.6556675  -45.1443325  -89.1943325   13.2806675 -185.7193325
 [9286]  226.8806675  -68.8193325  -34.6443325  -81.1443325   15.8556675
 [9291]  257.2806675   37.9306675   40.1556675 -187.7943325   12.9056675
 [9296]  -36.6693325 -175.1943325 -140.4443325   13.9556675  108.8306675
 [9301]  278.9056675   54.0556675  -34.2193325  -28.7193325   75.7556675
 [9306]  254.5306675   22.0806675  -60.7193325  -22.1943325  -59.0193325
 [9311]  -29.1193325  -97.2693325   14.5556675  -93.0693325 -108.1193325
 [9316]  -43.9193325 -152.8943325   71.2556675   49.5306675 -131.4943325
 [9321]   66.4556675  -45.3943325  -46.9443325   -2.4193325   78.7806675
 [9326]   14.2056675    4.6306675   67.1806675  -88.1943325 -151.4193325
 [9331]   52.1556675   56.8306675   66.6806675  -90.0193325 -118.9693325
 [9336]  153.8806675 -116.9193325    5.5306675  -10.7443325   -7.6193325
 [9341]   24.5306675  200.5806675  150.1056675 -128.7943325    5.3056675
 [9346]  -99.7693325  187.5056675   29.0306675  113.7306675  -85.4693325
 [9351]  -82.2943325  232.1556675   55.6806675  -28.3693325  225.6556675
 [9356]  175.7556675 -109.6943325  191.0556675  -75.5193325   49.2306675
 [9361]  155.8056675   51.6306675   45.1556675 -214.7443325  -28.3693325
 [9366]   75.9056675  -22.2943325  -86.3943325  -58.9193325  -83.5443325
 [9371]  -85.7943325   43.5806675   79.6806675   -2.5943325  -14.8693325
 [9376]   39.6306675 -177.1193325  157.5056675  -67.2193325   53.6556675
 [9381]  -42.2693325 -309.5693325  -17.8443325   86.4306675  -55.5193325
 [9386]  188.2556675   92.5056675  -55.9193325  -65.5943325   81.2556675
 [9391]   -4.7693325  -75.9693325 -129.5193325 -263.9443325 -114.0193325
 [9396] -143.6693325   97.9806675  -39.7693325 -186.6943325  189.2806675
 [9401] -121.0693325   23.5556675 -156.7943325 -171.3193325   41.2056675
 [9406]  155.8806675   37.0306675   37.0556675 -121.9943325   -8.2943325
 [9411]  135.4056675  210.6306675  -99.4443325  -27.2693325  141.5056675
 [9416]  283.1556675 -168.7443325  215.2056675  -30.0693325   92.0306675
 [9421]   15.0806675 -279.0193325   15.3806675   94.0806675  -99.2693325
 [9426] -104.3693325   12.5556675   21.9306675  126.7556675  -42.1943325
 [9431]  139.8306675  123.1556675   84.5806675   94.1806675  -66.4193325
 [9436]  143.5806675   92.2056675 -107.6693325   44.1056675 -176.9193325
 [9441]   38.4556675  -30.2193325  142.3056675   65.5306675  -13.9943325
 [9446]  -69.0693325   -7.5943325   38.6306675  -92.3193325 -185.1693325
 [9451]   24.5306675 -368.6443325  159.9056675   30.9806675   34.1806675
 [9456] -192.7693325 -114.9193325  131.6556675   15.7306675   -6.4193325
 [9461] -127.0943325 -158.1443325 -108.6443325 -159.2443325  -11.4693325
 [9466] -194.1443325 -124.5193325   48.2556675   62.5806675  -55.7693325
 [9471]  191.8056675    3.9306675  164.0306675  -85.1443325   48.6056675
 [9476]   28.6806675 -111.2693325  -49.6193325   74.0806675  -66.9943325
 [9481]    3.3556675   -6.8193325 -128.4693325  255.4806675  -18.3693325
 [9486]  125.9556675   21.5306675 -106.6443325  -77.1693325   52.3056675
 [9491]  -29.2693325 -119.5943325 -116.2443325  -24.9443325  -43.4443325
 [9496] -192.2193325 -105.4443325   45.0556675   27.1806675  -69.5693325
 [9501]   59.4056675    3.9556675   55.1306675   68.0306675    9.0306675
 [9506]   -3.4943325   61.6306675 -135.4693325    2.9806675  254.9306675
 [9511]    2.3556675  116.6306675  -77.1193325  152.9556675   16.0806675
 [9516]  -78.1193325  -47.8943325  -12.2693325   38.6056675  -28.8943325
 [9521]  293.5556675   15.5556675   88.6056675  122.3556675 -115.5193325
 [9526]  -10.0443325   63.3806675 -115.1443325  -63.6193325   37.2056675
 [9531]  -39.8943325  184.9056675 -169.5193325 -131.5943325  127.4806675
 [9536]  -57.5693325  -76.5193325 -142.1693325  -12.5943325  -81.3193325
 [9541]  -37.8943325  303.2556675   -0.3693325  305.3056675   49.4806675
 [9546]  302.9056675   64.5556675   50.8306675   98.8556675 -145.8693325
 [9551]    7.1306675   93.4306675   23.5556675  -70.2443325   84.1056675
 [9556]  -52.3943325  142.4056675   98.0556675   17.7806675 -191.4193325
 [9561]  -96.1193325  124.3056675  227.3806675  -65.6943325   56.1056675
 [9566]   16.5306675  137.8806675    5.7306675  -51.7943325    2.2056675
 [9571] -300.9693325  -35.4693325  -93.6443325   38.8556675  -10.6193325
 [9576]  104.9306675  -86.5443325  -66.4693325 -191.8443325  107.5056675
 [9581]  151.7306675    8.0806675  166.2306675   62.1306675   21.7056675
 [9586]  -54.5943325 -146.2193325  -78.9943325 -124.7193325   87.5306675
 [9591]   15.6806675  144.5306675   -6.4943325  -17.7943325 -269.7693325
 [9596]  -27.2693325   93.8056675  -38.7443325  -30.5693325  -36.2193325
 [9601]  137.5056675   51.0556675   86.0056675 -118.0443325   28.8306675
 [9606] -154.0193325 -152.5193325  -36.4193325   20.3306675  -66.4943325
 [9611]   71.0556675  116.9556675  -20.0943325  -30.2443325 -123.7943325
 [9616]  122.8806675   69.7056675   21.4056675   91.5556675  126.5056675
 [9621]  196.9556675  -93.7443325   23.1056675   33.0806675  140.7556675
 [9626]  -41.2193325 -204.7193325   14.2306675   -6.5943325   65.7556675
 [9631]   56.3556675  118.5056675 -209.2193325 -110.3943325   26.8556675
 [9636]   24.5806675   63.1556675  -54.2193325 -183.7193325  215.2056675
 [9641]  -29.2943325   79.9056675 -140.2443325  -51.8443325   33.4806675
 [9646] -210.0193325  -21.7943325  -71.5943325   61.2806675  -28.0943325
 [9651]   59.6806675   98.9306675   73.9556675   32.6306675    5.3306675
 [9656] -113.5443325   82.9056675  363.2556675    6.1056675  -59.6943325
 [9661]   43.8806675  269.9806675  -43.8193325  335.0056675   20.7306675
 [9666]   73.4806675 -199.9693325   24.2806675   21.7806675  -67.2443325
 [9671]   -7.9193325   95.1556675  -57.6443325  -72.4693325  276.9056675
 [9676]    7.6056675  -38.9943325 -144.0443325 -179.2443325  -57.9693325
 [9681]  155.0306675  -24.6943325  162.4306675    8.2056675  -52.4443325
 [9686]  -22.0193325   -4.8193325  -80.7193325  -36.0443325   45.1306675
 [9691]  123.8056675  192.2306675   22.0806675  -81.2693325 -113.5693325
 [9696]   -6.0943325  -96.1193325  -73.0693325   42.9306675  113.2806675
 [9701]  -61.4943325  -30.1443325   32.3806675  189.6056675  166.5056675
 [9706]   64.3556675  -58.7443325  -61.6193325  -51.0443325  -90.7443325
 [9711] -125.6443325  -78.3943325  -61.3443325 -140.9693325  -75.9943325
 [9716]   73.2556675  289.9056675  -39.3193325 -124.5943325 -180.2443325
 [9721]  -94.6193325  -15.8443325   40.5806675 -216.4443325  -75.4443325
 [9726]  -58.1193325  -71.9693325 -130.3443325   46.1056675 -147.5193325
 [9731] -141.0693325   89.5806675   80.8056675  -26.5943325  -33.4443325
 [9736]  -37.6693325   71.7306675  -35.3443325 -104.2193325  -62.4693325
 [9741]   91.1306675   -2.4443325 -146.1943325   67.0306675  -67.7193325
 [9746]  -43.4693325  -36.0193325   64.7556675   -5.1943325   16.7306675
 [9751] -159.6943325   68.2556675  -48.2443325 -125.8943325  -81.1193325
 [9756] -212.0443325 -128.6693325  -18.2943325  122.7056675    6.8556675
 [9761]  108.2556675  -65.6443325  -12.8943325 -172.3443325  -83.0693325
 [9766]  -54.1943325  191.6806675 -179.1943325   84.7806675   20.1056675
 [9771] -240.0693325  -13.5693325   51.4056675   46.3056675   55.7056675
 [9776]   42.1306675   26.5306675   59.6556675  203.8306675  -62.8943325
 [9781]   22.6306675  -11.6943325  -24.9693325   30.4056675  -34.2443325
 [9786] -142.6693325  -43.2693325   65.3806675  100.5306675 -229.1693325
 [9791]   85.4306675  -55.7943325   69.3806675 -118.9443325 -231.2443325
 [9796]   14.5306675  207.4556675   51.3806675 -176.9943325   -0.1693325
 [9801]  102.8806675  138.2306675   45.4806675 -152.1443325    9.4306675
 [9806]  -54.9693325   75.5556675 -367.2943325   63.3056675   -2.4193325
 [9811]  204.0056675  -85.5943325   89.7306675   78.8306675 -199.7443325
 [9816] -171.1443325   31.3306675   20.7056675   25.8306675  -88.0443325
 [9821]  -26.8443325  -70.6443325 -129.0693325    5.1056675   91.2806675
 [9826]  -81.9693325   53.2556675  -54.4943325 -114.9443325 -101.5193325
 [9831]  -85.5943325  -95.6443325  -39.7193325  100.9056675   79.0306675
 [9836]  255.4806675   57.8556675  180.9556675  -19.0693325  128.6056675
 [9841]   46.4806675   55.9806675  177.5056675 -144.3193325 -137.9943325
 [9846]   26.0556675    9.2056675  170.8056675 -104.7943325  -24.9693325
 [9851]  -16.3943325   53.1056675 -225.3693325   38.5806675 -273.6193325
 [9856]    0.3806675  -92.3943325   41.1556675 -223.5693325    7.8556675
 [9861]  179.2806675  -31.5443325   46.2556675   -5.2693325  194.4556675
 [9866]   11.5556675 -187.6193325  121.7556675 -110.0693325  109.8306675
 [9871]   81.8306675  -86.1443325  147.0806675   -0.7943325  -70.8943325
 [9876] -110.8193325  -51.2693325   96.5806675   50.4056675   -2.8693325
 [9881] -107.1443325   50.8056675  -96.8443325   -1.4193325  130.4056675
 [9886]   -8.6193325  127.7556675   -5.7943325  106.8306675 -146.1693325
 [9891]  -34.9943325   87.2056675  -11.4193325 -229.5943325  114.2306675
 [9896]  -28.4943325   71.0806675  -62.1943325  200.5056675   64.5806675
 [9901]  -58.2943325  -29.6693325   57.5306675 -156.9693325    8.8556675
 [9906]  -53.3443325  -24.5443325   -7.7443325   47.5556675  124.0556675
 [9911] -113.4693325  112.4806675  -58.6693325 -158.4943325   35.2806675
 [9916]  105.3556675   45.1806675  -75.2943325  -61.5443325  -87.9193325
 [9921]   37.6806675   82.6556675 -105.1443325   -1.9193325   68.9306675
 [9926]  167.4556675  -65.0943325   -4.8193325   36.9806675  229.8556675
 [9931]   76.8806675   30.2306675 -229.2443325   50.9306675  130.6306675
 [9936] -131.9443325   49.7306675   17.6056675   17.7056675   18.2306675
 [9941]    7.5806675   19.5306675  -77.6443325 -140.8193325   61.1806675
 [9946]  145.6556675   60.0556675   31.8556675  132.9306675  -75.8943325
 [9951]  308.7306675  158.2556675   70.7806675  -41.8193325 -138.7943325
 [9956]  135.4306675  -49.4443325   33.1806675   14.4056675    0.9306675
 [9961]  119.7806675   69.5556675  143.4306675   56.4056675  239.5056675
 [9966]   67.2556675  -30.5943325   31.9556675   73.7556675   75.9806675
 [9971]  318.6556675   39.0056675  -38.1693325  -25.8193325 -245.0193325
 [9976]   47.0806675 -141.8943325   52.2806675    3.5556675   66.3556675
 [9981]  109.6806675   94.1056675 -127.7943325 -115.1693325   45.4806675
 [9986] -177.4443325  -78.5193325    5.5306675 -180.1443325  -58.8193325
 [9991]   25.1056675  -83.4443325   96.5056675   53.8806675  -43.3443325
 [9996] -168.4693325  252.2556675 -177.9443325   69.6056675  196.2306675
abs((boyDifference - difference) / (sd(difference)*100))
    [1] 4.922613e-03 1.325431e-03 9.172202e-03 6.441919e-03 1.464841e-02
    [6] 1.615887e-03 9.058254e-03 6.803872e-03 2.873783e-03 1.134168e-02
   [11] 5.310363e-03 1.158197e-02 9.493938e-03 5.863242e-03 1.055075e-02
   [16] 7.032899e-04 1.332125e-02 9.013569e-03 7.440640e-03 8.584588e-03
   [21] 3.188816e-03 9.664964e-03 9.002397e-03 1.270459e-02 9.123048e-03
   [26] 5.112526e-03 3.010074e-03 2.322802e-02 3.888144e-03 5.490118e-03
   [31] 2.238245e-02 1.231136e-02 9.708428e-03 1.110384e-02 9.575593e-03
   [36] 3.335265e-03 7.780340e-04 9.245933e-03 3.200077e-04 3.791057e-03
   [41] 1.373682e-02 9.660495e-03 3.182327e-02 1.038765e-02 6.901167e-03
   [46] 3.759777e-03 6.197370e-03 1.953262e-03 6.115715e-03 2.470601e-03
   [51] 7.105499e-03 8.777957e-03 3.631202e-03 9.917437e-03 6.760407e-03
   [56] 9.333301e-05 8.539993e-04 2.307499e-03 7.285462e-03 6.146995e-03
   [61] 2.145410e-03 1.273140e-02 5.243335e-03 4.118274e-03 8.343287e-03
   [66] 5.060125e-03 8.115481e-04 3.856864e-03 1.590297e-03 4.348404e-03
   [71] 1.091839e-02 7.456280e-03 3.689293e-03 1.691852e-03 4.217803e-03
   [76] 6.239821e-03 1.156848e-03 8.115391e-03 6.982614e-03 2.306278e-03
   [81] 3.003371e-03 1.103011e-02 5.064593e-03 1.582039e-02 1.764234e-02
   [86] 1.957731e-03 2.559972e-03 9.120814e-03 5.671095e-03 2.407827e-02
   [91] 1.664585e-02 1.032831e-04 6.276583e-03 1.410000e-02 1.806807e-02
   [96] 3.101679e-03 2.217913e-02 9.752101e-03 1.474001e-02 1.945210e-02
  [101] 1.036653e-02 7.690969e-04 1.000904e-02 1.201765e-02 1.619676e-02
  [106] 9.848084e-04 1.465633e-02 1.042685e-02 5.717001e-03 5.886806e-03
  [111] 6.427501e-03 1.449537e-03 3.829040e-03 1.569527e-02 6.429735e-03
  [116] 1.623474e-02 1.126572e-02 2.110883e-03 3.007840e-03 1.500488e-02
  [121] 8.038322e-04 1.262871e-03 1.444062e-02 4.379684e-03 2.322701e-02
  [126] 5.004268e-03 5.412909e-05 1.120438e-02 1.178306e-02 3.081571e-03
  [131] 1.404739e-02 4.657955e-03 1.738772e-03 2.925172e-03 1.173491e-02
  [136] 6.831904e-03 1.547631e-02 4.620986e-03 1.144121e-02 1.243993e-02
  [141] 8.742209e-03 2.450492e-03 1.888236e-02 5.401969e-03 9.297322e-03
  [146] 5.777327e-03 1.906342e-03 8.801313e-03 1.260405e-02 6.207320e-03
  [151] 5.171838e-03 1.043355e-02 4.893567e-03 2.681636e-03 5.571773e-03
  [156] 1.521043e-02 2.447597e-02 5.005281e-03 1.415362e-02 4.103855e-03
  [161] 2.185627e-03 1.511090e-02 3.563161e-03 2.855909e-03 1.487520e-03
  [166] 1.453121e-02 2.696263e-03 6.570494e-03 8.584588e-03 1.555228e-02
  [171] 1.245334e-02 2.763291e-03 1.243100e-02 7.466438e-03 2.505128e-03
  [176] 7.384783e-03 6.797259e-04 1.553988e-02 2.997890e-03 1.422166e-02
  [181] 1.098095e-02 9.517502e-03 8.540893e-05 1.362857e-02 7.845043e-03
  [186] 2.111896e-03 1.417474e-02 4.980704e-03 3.442510e-03 5.400747e-03
  [191] 6.095607e-03 7.386004e-03 4.865653e-04 5.323769e-03 4.447934e-03
  [196] 8.304291e-03 1.218177e-02 7.556912e-04 1.716429e-03 5.835418e-03
  [201] 7.784718e-03 1.274034e-02 9.813439e-03 5.673329e-03 1.450887e-02
  [206] 2.562662e-02 1.409553e-02 1.041121e-02 1.086364e-03 4.075823e-03
  [211] 9.277213e-03 1.239301e-02 2.782178e-03 6.267646e-03 9.681617e-03
  [216] 1.803902e-02 9.079584e-03 1.435795e-02 3.458707e-02 9.549795e-03
  [221] 8.798066e-03 1.696321e-03 5.156198e-03 1.459032e-02 1.240073e-02
  [226] 4.848882e-03 8.505376e-03 9.698478e-03 6.641991e-03 8.307538e-03
  [231] 9.433702e-04 1.524273e-02 1.595993e-02 8.957712e-03 3.766480e-03
  [236] 3.324094e-03 1.003240e-02 2.271414e-02 8.193590e-03 1.900870e-02
  [241] 3.020912e-02 3.335265e-03 5.308129e-03 3.146365e-03 5.326003e-03
  [246] 1.566724e-02 9.253857e-03 3.211159e-03 7.256416e-03 2.147644e-03
  [251] 1.405865e-03 1.401733e-02 6.665347e-03 4.482461e-03 6.781529e-03
  [256] 4.561882e-03 9.311949e-03 7.091080e-03 1.914276e-02 1.563941e-02
  [261] 6.188433e-03 6.311318e-03 6.570494e-03 3.108382e-03 8.852701e-03
  [266] 2.391180e-03 2.567801e-02 6.854247e-03 1.564266e-02 3.114072e-03
  [271] 2.401338e-03 8.722100e-03 1.984980e-02 8.927653e-03 7.688644e-03
  [276] 1.244997e-03 1.524049e-02 2.245952e-03 1.388876e-02 5.702374e-03
  [281] 2.024759e-03 1.161650e-02 7.668536e-03 1.854954e-03 2.154907e-02
  [286] 7.992736e-05 5.070075e-03 5.401879e-04 1.456240e-03 1.720564e-02
  [291] 3.530660e-03 4.971767e-03 1.591870e-02 6.817277e-03 7.707740e-03
  [296] 3.101679e-03 3.108382e-03 2.049327e-02 8.229339e-03 1.215171e-02
  [301] 3.141896e-03 7.322454e-05 2.761056e-03 6.137045e-03 3.356476e-04
  [306] 3.120775e-03 9.624657e-04 2.114130e-03 1.053186e-02 1.198515e-02
  [311] 9.378977e-03 1.362401e-03 7.073206e-03 7.799345e-03 8.349989e-03
  [316] 3.590985e-03 6.867653e-03 4.155244e-03 1.401510e-02 1.733290e-03
  [321] 5.065606e-03 4.015497e-03 1.691742e-02 1.222655e-03 5.476713e-03
  [326] 1.198739e-02 1.685140e-02 3.934050e-03 9.734226e-03 7.990271e-03
  [331] 8.224870e-03 1.814737e-03 1.967553e-02 4.540642e-04 1.253255e-02
  [336] 3.121788e-03 3.393356e-03 1.235047e-03 8.527718e-03 7.345697e-04
  [341] 2.904953e-02 3.901549e-03 5.771637e-03 6.928991e-03 1.188127e-03
  [346] 6.133589e-03 1.376262e-02 5.554912e-03 8.637198e-03 1.325199e-02
  [351] 1.451772e-03 9.216888e-03 4.682532e-03 1.413229e-02 1.152611e-02
  [356] 9.015803e-03 1.840544e-02 7.713311e-04 2.324152e-03 3.481506e-03
  [361] 2.250421e-03 1.089706e-02 1.761999e-02 1.626379e-02 5.217537e-03
  [366] 2.420226e-03 1.125568e-03 5.474478e-03 1.833833e-03 6.461015e-03
  [371] 4.843310e-04 4.678064e-03 1.976388e-02 5.154977e-03 1.772623e-02
  [376] 4.455649e-03 1.397813e-02 2.504115e-03 3.683812e-03 1.066592e-02
  [381] 2.886176e-03 1.087594e-02 1.081338e-02 9.228059e-03 4.629923e-03
  [386] 6.789453e-03 5.045498e-03 8.287430e-03 6.906648e-03 1.242429e-02
  [391] 9.108630e-03 5.990596e-03 2.597954e-03 4.047998e-03 6.353769e-03
  [396] 1.206681e-02 7.610445e-03 4.597540e-04 1.594429e-02 4.697041e-04
  [401] 1.072401e-02 7.629540e-03 9.813529e-04 1.042900e-03 4.098165e-03
  [406] 1.989011e-03 1.244095e-02 2.212775e-02 1.649291e-02 1.951028e-03
  [411] 5.328238e-03 1.136849e-02 2.380009e-03 8.349989e-03 1.141318e-02
  [416] 1.063911e-02 2.513052e-03 1.442397e-02 2.741961e-03 2.492944e-03
  [421] 1.358388e-02 6.567039e-03 1.394908e-02 5.869945e-03 4.417667e-03
  [426] 5.613093e-04 6.474330e-04 1.553887e-02 8.629274e-03 9.048304e-03
  [431] 1.611856e-02 1.435001e-04 6.964739e-03 6.053155e-03 1.484178e-02
  [436] 1.002123e-02 4.205411e-03 9.492925e-03 6.152685e-03 2.447028e-02
  [441] 1.534896e-02 8.437126e-03 3.914955e-03 5.128166e-03 2.227074e-02
  [446] 1.455019e-03 4.955024e-04 1.696312e-02 1.360053e-02 5.599598e-03
  [451] 1.385301e-02 9.327588e-03 1.228577e-02 3.329575e-03 3.764246e-03
  [456] 7.955744e-03 7.953510e-03 3.096198e-03 1.048819e-02 5.501290e-03
  [461] 3.592206e-03 9.218109e-03 1.343195e-02 4.718281e-03 7.869620e-03
  [466] 6.911117e-03 7.150184e-03 1.217060e-02 3.803241e-03 1.027260e-03
  [471] 2.902829e-03 3.740682e-03 7.769309e-05 1.326215e-02 4.383140e-03
  [476] 5.709077e-03 2.233106e-02 1.632310e-02 3.524188e-05 1.061676e-02
  [481] 5.282331e-03 1.057318e-03 7.904356e-03 8.303070e-03 4.806430e-03
  [486] 4.844413e-03 1.687273e-02 6.234132e-03 1.040105e-02 1.349329e-02
  [491] 1.394136e-02 7.522295e-03 9.446005e-03 2.644874e-03 1.326215e-02
  [496] 3.955172e-03 1.887455e-03 8.018304e-03 1.274704e-02 2.228078e-03
  [501] 3.639126e-03 2.303933e-02 9.931856e-03 9.460424e-03 1.120661e-02
  [506] 5.998520e-03 1.214054e-02 6.552620e-03 1.777976e-03 4.938253e-03
  [511] 3.525178e-03 1.741006e-03 8.499686e-03 1.215719e-02 4.032359e-03
  [516] 3.383198e-03 1.762336e-03 1.128136e-02 1.902657e-02 1.231928e-02
  [521] 1.127019e-02 5.189713e-03 1.546714e-04 1.313157e-04 5.194181e-03
  [526] 7.489884e-04 5.567305e-03 1.695195e-02 1.868798e-02 1.991245e-03
  [531] 8.658319e-03 6.613958e-03 6.396221e-03 3.195519e-03 1.227683e-02
  [536] 5.849837e-03 1.278178e-02 2.227065e-03 1.419271e-03 1.017101e-03
  [541] 5.445433e-03 9.107408e-03 1.206335e-02 1.016199e-02 1.037546e-02
  [546] 1.720564e-02 4.647797e-03 1.370554e-02 7.515592e-03 1.744462e-03
  [551] 1.300944e-04 6.997240e-03 8.679649e-03 1.682459e-02 5.381860e-03
  [556] 8.019317e-03 8.081876e-03 1.065251e-02 7.922230e-03 5.274615e-03
  [561] 7.753438e-03 9.056020e-03 5.364999e-03 4.691469e-03 1.367549e-02
  [566] 3.804463e-03 8.650603e-03 5.759362e-04 6.559323e-03 1.938853e-02
  [571] 8.958933e-03 7.979100e-03 8.785673e-03 1.398036e-02 1.131040e-02
  [576] 1.196951e-02 1.194616e-02 1.690503e-02 1.755633e-03 6.054377e-03
  [581] 6.096828e-03 8.691833e-03 3.753074e-03 7.478622e-03 1.435001e-04
  [586] 7.561291e-03 4.591940e-03 5.503524e-03 2.440424e-04 1.525288e-02
  [591] 2.596733e-03 6.850791e-03 6.558101e-03 3.592206e-03 3.334134e-04
  [596] 1.259511e-02 1.724687e-02 8.474096e-03 9.845940e-03 9.031533e-04
  [601] 1.624824e-03 1.800998e-02 2.445911e-02 9.535286e-04 3.561940e-03
  [606] 1.786800e-02 7.560278e-03 2.840269e-03 1.930919e-03 8.213699e-03
  [611] 1.110708e-02 1.851046e-02 1.196850e-02 5.665613e-03 1.345630e-04
  [616] 1.497470e-03 6.722425e-03 2.438100e-03 3.291592e-03 6.168325e-03
  [621] 8.459469e-03 5.131621e-03 6.704551e-03 8.775633e-04 2.194564e-03
  [626] 7.165824e-03 1.836177e-02 1.444286e-02 6.675505e-03 7.847368e-04
  [631] 2.296327e-03 1.388998e-02 7.319989e-03 2.119483e-02 1.089729e-04
  [636] 4.846647e-03 1.021561e-02 1.524171e-02 2.430294e-04 3.850161e-03
  [641] 6.531290e-03 6.207320e-03 1.567740e-02 1.944325e-03 1.559473e-02
  [646] 9.342007e-03 7.632787e-03 3.948469e-03 1.110262e-02 1.703114e-04
  [651] 4.072575e-03 1.180763e-02 4.873459e-03 9.689541e-03 2.452727e-03
  [656] 1.738215e-02 5.439951e-03 3.774196e-03 7.294399e-03 5.349359e-03
  [661] 1.398483e-02 1.277832e-02 1.289572e-02 4.805417e-03 3.601144e-03
  [666] 8.621558e-03 1.242977e-02 2.842503e-03 7.135765e-03 3.100576e-04
  [671] 8.480799e-03 8.876265e-03 3.632423e-03 5.621941e-03 1.168028e-02
  [676] 2.026091e-02 6.818499e-03 2.842593e-04 7.187154e-03 1.673421e-02
  [681] 4.966054e-05 9.659274e-03 3.092742e-03 2.029564e-02 8.049584e-03
  [686] 3.795525e-03 1.040674e-02 7.212744e-03 1.211251e-02 3.455916e-03
  [691] 1.431327e-02 6.052142e-03 6.166090e-03 6.024110e-03 2.212551e-02
  [696] 2.951983e-03 1.602481e-03 4.571832e-03 1.542269e-02 2.245273e-02
  [701] 1.390216e-02 1.026253e-02 6.843076e-03 5.658910e-03 8.212686e-03
  [706] 8.266308e-03 2.261682e-04 3.268237e-03 2.773241e-03 4.295772e-05
  [711] 1.325431e-03 4.910428e-03 4.170884e-03 1.440487e-02 1.029157e-02
  [716] 1.951028e-03 1.199084e-02 1.514241e-04 2.348729e-03 8.979042e-03
  [721] 8.674049e-04 1.503717e-02 3.925113e-03 1.281976e-02 1.364635e-03
  [726] 3.222330e-03 6.254240e-03 5.898991e-03 7.322454e-05 1.320963e-03
  [731] 8.208217e-03 1.344527e-03 4.145085e-03 2.816913e-03 3.897081e-03
  [736] 1.304867e-02 7.496497e-03 1.537577e-02 2.126633e-02 1.624937e-02
  [741] 2.157811e-02 6.602787e-03 2.580080e-03 5.276849e-03 1.070491e-02
  [746] 1.148366e-02 6.262164e-03 8.851688e-03 3.159770e-03 8.777957e-03
  [751] 2.116364e-03 1.293025e-02 3.719560e-03 9.934090e-03 1.625831e-02
  [756] 6.921185e-04 1.296386e-03 9.887170e-03 9.266042e-03 2.363588e-02
  [761] 1.325199e-02 1.353464e-03 7.322223e-03 9.324133e-03 6.732375e-03
  [766] 9.588999e-03 1.882650e-02 6.322490e-03 3.570877e-03 4.136148e-03
  [771] 1.022455e-02 1.380731e-02 6.761420e-03 1.090832e-03 4.965064e-03
  [776] 1.947221e-02 1.428321e-02 5.695672e-03 7.296633e-03 1.916388e-02
  [781] 3.408996e-03 5.328238e-03 1.767808e-02 4.123964e-03 2.937564e-03
  [786] 8.825890e-03 6.622895e-03 1.358266e-02 7.183698e-03 1.924217e-03
  [791] 1.221204e-02 1.096632e-02 5.075765e-03 9.519736e-03 5.739344e-03
  [796] 2.878252e-03 1.362401e-03 3.396603e-03 8.553308e-03 1.157303e-02
  [801] 6.541358e-04 3.424636e-03 1.562264e-03 6.211789e-03 1.338726e-02
  [806] 1.487082e-02 9.781146e-03 6.762642e-03 5.534804e-03 3.479272e-03
  [811] 9.808970e-03 8.762317e-03 8.483033e-03 6.487826e-03 8.859404e-03
  [816] 7.425000e-03 7.707740e-03 1.080546e-02 5.510227e-03 1.379614e-02
  [821] 1.749934e-02 4.329517e-03 1.157303e-02 2.222596e-03 9.011335e-03
  [826] 1.303088e-03 3.478259e-03 7.136778e-03 1.455802e-02 4.640081e-03
  [831] 6.944631e-03 1.947781e-03 7.993637e-04 9.266042e-03 7.200559e-03
  [836] 1.320963e-03 1.339945e-02 1.968446e-02 1.816191e-02 6.856481e-03
  [841] 5.413140e-03 8.241731e-03 1.474347e-02 3.128490e-03 8.007132e-03
  [846] 3.697217e-03 4.697041e-04 1.021013e-02 1.393019e-02 8.896374e-03
  [851] 1.414915e-02 1.336147e-02 5.099120e-03 7.254182e-03 1.104238e-03
  [856] 6.103531e-03 1.493002e-03 8.968883e-03 1.125678e-02 1.959965e-03
  [861] 6.182743e-03 3.528426e-03 1.269241e-02 1.471880e-03 4.006560e-03
  [866] 5.685721e-03 1.014310e-02 1.667490e-02 4.740623e-03 7.967928e-03
  [871] 8.468406e-03 1.686704e-02 6.142526e-03 5.227695e-03 1.462952e-02
  [876] 4.687001e-03 8.577885e-03 2.509596e-03 2.256110e-03 7.337863e-03
  [881] 4.725997e-03 3.382185e-03 3.601144e-03 6.267646e-03 2.287390e-03
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 [1796] 2.160370e-02 5.139337e-03 4.203176e-03 9.899563e-03 9.889404e-03
 [1801] 2.966610e-03 7.685397e-03 2.396980e-02 1.137743e-02 2.069444e-03
 [1806] 1.222655e-03 4.195461e-03 2.858143e-03 1.211149e-02 1.694086e-03
 [1811] 7.465217e-03 8.094269e-03 1.049266e-02 5.585179e-03 1.126694e-02
 [1816] 2.064976e-03 6.107999e-03 4.031137e-03 4.540552e-03 4.326061e-03
 [1821] 1.279620e-02 1.201542e-02 2.146071e-02 1.083117e-03 1.166789e-02
 [1826] 8.312007e-03 8.412549e-03 3.245894e-03 8.544371e-03 7.570228e-03
 [1831] 3.841224e-03 2.291859e-03 7.258651e-03 7.209497e-03 4.883617e-03
 [1836] 4.616517e-03 1.293138e-03 1.400494e-02 1.950015e-03 7.200329e-05
 [1841] 4.789777e-03 2.376761e-03 1.439594e-02 9.403554e-03 4.194470e-05
 [1846] 1.227784e-02 1.690839e-03 7.038470e-03 8.638211e-03 1.011182e-02
 [1851] 1.534672e-02 2.328620e-03 1.645147e-02 1.333466e-02 2.140941e-03
 [1856] 1.379054e-03 1.586841e-03 1.260637e-03 4.463573e-03 7.524439e-04
 [1861] 7.441861e-03 9.051552e-03 1.231258e-02 6.653162e-03 1.040329e-02
 [1866] 5.530335e-03 7.564746e-03 3.191050e-03 1.752392e-02 2.485019e-03
 [1871] 2.452727e-03 4.730465e-03 1.243871e-02 1.367549e-02 1.055644e-02
 [1876] 4.976235e-03 1.064804e-02 6.126887e-03 7.140234e-03 3.355373e-03
 [1881] 1.357048e-02 1.060774e-03 3.808931e-03 3.097211e-03 4.897023e-03
 [1886] 1.579683e-02 5.259988e-03 1.259958e-02 3.860229e-04 1.891486e-02
 [1891] 6.306619e-05 1.737544e-02 1.118305e-02 2.824629e-03 9.371053e-03
 [1896] 5.113747e-03 2.101946e-03 2.641419e-03 1.069943e-02 2.139928e-03
 [1901] 1.281967e-03 7.199338e-03 1.394807e-02 7.835093e-03 1.321299e-02
 [1906] 5.893509e-03 1.261197e-02 1.119878e-03 1.873388e-02 1.276390e-02
 [1911] 9.405788e-03 3.818881e-03 1.281184e-02 1.664808e-02 1.224880e-02
 [1916] 1.062570e-02 1.178407e-02 9.805723e-03 1.068490e-03 3.420167e-03
 [1921] 5.051188e-03 1.190818e-02 8.935369e-03 1.632858e-02 5.330472e-03
 [1926] 3.906018e-03 2.340923e-04 9.863814e-03 8.840517e-03 2.309072e-02
 [1931] 6.915585e-03 4.771903e-03 1.649737e-02 1.512207e-02 5.185244e-03
 [1936] 7.850733e-03 4.783075e-03 5.266691e-03 1.355138e-02 2.036368e-02
 [1941] 1.162219e-02 6.734609e-03 5.646518e-03 3.737434e-03 1.089381e-02
 [1946] 3.890378e-03 5.657779e-04 5.929257e-03 2.889423e-03 1.003809e-02
 [1951] 2.395739e-04 4.508259e-03 1.627496e-02 5.552678e-03 2.578972e-02
 [1956] 5.567305e-03 2.466689e-02 1.429215e-02 2.299575e-03 1.995156e-02
 [1961] 2.463898e-03 2.768662e-02 2.669451e-03 1.222422e-02 9.535286e-04
 [1966] 2.607571e-02 7.049642e-03 7.218434e-03 2.510818e-03 9.461645e-03
 [1971] 2.216997e-04 4.557413e-03 6.857494e-03 8.040647e-03 4.041296e-03
 [1976] 4.599864e-03 1.131386e-02 4.716046e-03 1.706142e-02 3.005605e-03
 [1981] 5.134869e-03 1.281967e-03 5.864463e-03 8.320944e-03 1.141988e-02
 [1986] 3.024701e-03 7.625072e-03 8.753290e-04 1.378041e-03 5.388563e-03
 [1991] 1.066145e-02 1.357819e-02 9.043746e-04 7.868607e-03 1.063911e-02
 [1996] 6.220726e-03 1.342972e-02 9.640387e-03 2.749885e-03 1.375815e-02
 [2001] 1.670641e-04 2.517521e-03 1.484848e-02 1.179747e-02 1.636108e-02
 [2006] 1.499025e-02 1.031961e-02 6.037516e-03 8.943293e-03 6.611724e-03
 [2011] 2.048109e-02 1.510095e-02 1.042238e-02 1.383513e-02 1.285998e-02
 [2016] 8.229339e-03 2.506582e-02 1.374251e-02 2.697490e-02 6.478889e-03
 [2021] 5.267912e-03 1.527970e-02 1.179100e-04 1.145340e-02 2.088540e-03
 [2026] 6.344832e-03 2.272978e-02 1.031392e-02 1.110038e-02 5.981889e-05
 [2031] 9.850409e-03 1.478583e-03 2.160037e-03 4.786412e-04 3.222420e-04
 [2036] 7.150184e-03 1.408314e-02 5.847602e-03 1.472893e-03 6.463249e-03
 [2041] 1.000448e-03 3.462619e-03 3.459163e-03 9.512943e-04 4.061314e-04
 [2046] 7.727848e-03 3.976502e-03 1.031392e-02 3.664716e-03 3.015764e-03
 [2051] 8.379035e-03 1.471880e-03 1.035759e-02 9.660495e-03 1.951689e-02
 [2056] 1.891924e-03 1.270796e-03 1.589513e-02 1.503160e-03 1.302186e-02
 [2061] 1.137865e-02 9.553250e-03 6.361485e-03 8.946541e-03 5.907928e-03
 [2066] 1.118650e-02 1.104006e-02 2.379776e-02 1.171603e-02 1.005373e-02
 [2071] 1.347440e-02 1.989011e-03 2.057260e-03 9.046070e-03 7.581399e-03
 [2076] 1.823341e-02 1.863891e-03 1.043010e-02 3.286111e-03 1.865112e-03
 [2081] 2.304380e-02 4.762966e-03 8.097516e-03 5.929257e-03 3.293827e-03
 [2086] 1.156410e-02 1.957722e-02 1.041222e-02 1.072958e-03 1.212704e-03
 [2091] 3.136415e-03 1.924217e-03 3.424636e-03 1.410771e-02 1.276614e-02
 [2096] 7.971294e-04 9.216888e-03 8.647148e-03 9.734226e-03 1.299180e-02
 [2101] 3.473790e-03 7.643959e-03 1.174722e-03 1.017438e-02 2.634716e-03
 [2106] 1.349999e-02 2.043854e-03 1.417036e-03 6.857494e-03 4.820967e-04
 [2111] 8.472874e-03 1.029056e-02 1.052850e-03 1.491774e-02 1.344759e-02
 [2116] 3.569864e-03 1.452451e-02 7.209497e-03 1.491899e-04 3.177735e-04
 [2121] 1.017101e-03 1.309234e-02 8.901855e-03 1.119422e-02 2.246289e-02
 [2126] 1.613420e-02 1.472893e-03 8.798066e-03 7.746735e-03 1.092054e-03
 [2131] 2.563219e-03 1.938754e-04 1.223316e-02 1.637002e-02 4.364044e-03
 [2136] 1.036530e-02 5.162901e-03 1.488870e-02 1.528640e-02 4.909207e-03
 [2141] 1.325544e-02 2.252655e-03 5.146040e-03 1.364635e-03 8.183640e-03
 [2146] 4.224506e-03 5.532570e-03 5.112526e-03 5.674550e-03 1.996935e-03
 [2151] 4.208866e-03 4.334999e-03 6.582678e-03 1.015305e-02 1.674091e-02
 [2156] 8.034957e-03 1.846678e-02 6.266633e-03 1.623811e-03 8.092035e-03
 [2161] 9.581075e-03 3.325107e-03 1.163336e-02 7.110057e-04 1.157181e-02
 [2166] 1.010489e-04 4.014484e-03 1.409321e-03 7.643959e-03 3.267015e-03
 [2171] 1.853056e-02 1.889028e-02 1.117980e-02 1.445078e-02 1.686603e-02
 [2176] 8.913027e-03 9.299646e-04 6.249772e-03 1.015752e-02 5.412009e-04
 [2181] 2.374313e-02 6.409626e-03 5.995064e-03 4.933784e-03 2.464911e-03
 [2186] 1.541030e-02 6.858715e-03 4.345157e-03 1.104676e-02 6.288976e-03
 [2191] 1.216959e-02 6.688911e-03 5.845368e-03 5.621941e-03 2.402351e-03
 [2196] 9.344241e-03 8.550061e-03 1.217173e-03 5.892288e-03 1.881855e-04
 [2201] 1.395802e-02 7.324458e-03 1.342292e-03 9.014790e-03 6.134811e-03
 [2206] 4.369734e-03 6.046453e-03 4.255786e-03 8.119859e-03 1.218969e-02
 [2211] 1.018332e-02 6.683221e-03 6.600553e-03 7.569125e-04 1.173837e-02
 [2216] 7.960213e-03 1.297270e-02 7.601508e-03 5.205353e-03 9.267263e-03
 [2221] 1.856956e-02 1.030507e-03 2.954217e-03 1.388998e-02 7.566980e-03
 [2226] 4.317214e-04 9.433702e-04 6.253227e-03 2.645887e-03 1.129375e-02
 [2231] 9.403554e-03 3.825674e-04 1.862765e-02 2.937564e-03 2.406364e-02
 [2236] 9.165499e-03 1.861201e-02 6.878824e-03 4.626675e-03 9.922918e-03
 [2241] 2.698497e-03 4.664568e-04 4.008795e-03 5.798448e-03 1.362064e-02
 [2246] 8.618102e-03 1.238294e-03 2.245049e-02 8.417018e-03 9.002397e-03
 [2251] 1.498692e-03 1.384630e-02 4.339557e-04 1.206002e-03 3.830053e-03
 [2256] 1.067477e-03 6.942397e-03 3.024701e-03 3.915045e-04 3.290579e-03
 [2261] 4.481448e-03 5.758462e-05 6.917820e-03 5.455591e-03 6.524587e-03
 [2266] 8.123315e-03 4.485916e-03 8.732050e-03 7.715456e-03 8.379035e-03
 [2271] 5.499055e-03 1.614984e-02 1.779102e-02 5.711312e-03 5.969474e-03
 [2276] 2.133225e-03 1.076524e-02 1.381949e-02 4.769669e-03 3.044809e-03
 [2281] 1.791390e-02 5.215303e-03 6.083422e-03 1.298620e-03 2.015912e-04
 [2286] 8.146670e-03 1.055084e-03 7.499952e-03 2.066653e-02 5.256741e-03
 [2291] 1.870037e-02 2.062062e-02 3.011205e-04 1.752514e-02 1.368767e-02
 [2296] 7.620603e-03 1.145563e-02 2.636950e-03 5.739344e-03 3.588751e-03
 [2301] 3.736303e-04 1.443839e-02 1.574666e-02 5.687956e-03 1.249466e-03
 [2306] 1.235604e-02 2.009557e-02 2.452637e-04 8.367864e-03 1.561707e-02
 [2311] 1.051500e-02 2.743092e-04 1.425294e-02 1.384744e-03 1.038431e-03
 [2316] 1.520596e-02 8.872810e-03 3.106148e-03 7.663054e-03 1.946559e-03
 [2321] 4.548476e-03 8.067458e-03 8.621558e-03 1.463622e-02 1.637774e-02
 [2326] 2.628013e-03 1.653860e-02 8.191356e-03 1.642698e-03 6.886630e-04
 [2331] 6.227429e-03 2.082618e-02 6.608477e-03 4.704875e-03 5.127153e-03
 [2336] 4.188758e-03 1.943312e-03 2.015143e-02 5.722483e-03 1.155170e-02
 [2341] 1.174722e-03 1.172374e-02 1.829373e-02 1.096531e-02 7.841796e-03
 [2346] 1.835060e-02 7.473141e-03 5.172851e-03 1.336269e-02 7.593792e-03
 [2351] 4.641325e-05 1.331130e-02 7.663054e-03 2.030458e-02 6.981601e-03
 [2356] 1.411889e-02 3.347449e-03 9.425897e-03 1.105692e-02 4.206632e-03
 [2361] 5.903549e-04 5.542728e-03 4.694717e-03 5.828715e-03 5.962771e-03
 [2366] 2.324366e-02 2.204061e-02 1.649291e-02 1.303088e-03 1.192596e-03
 [2371] 8.176937e-03 2.935339e-02 7.754659e-03 1.020342e-02 6.995006e-03
 [2376] 1.744349e-02 1.032184e-02 4.594174e-03 1.048941e-02 1.465633e-02
 [2381] 1.509872e-02 1.141095e-02 1.023804e-03 1.033962e-03 5.099210e-04
 [2386] 2.184614e-03 1.077987e-02 6.586134e-03 1.326986e-02 9.028196e-03
 [2391] 1.053186e-02 1.133945e-02 1.294041e-02 4.346170e-03 7.080922e-03
 [2396] 8.266308e-03 1.740226e-02 8.691833e-03 2.188969e-02 2.641509e-04
 [2401] 1.797423e-02 1.160095e-03 6.712266e-03 1.564498e-03 1.372118e-02
 [2406] 8.968883e-03 1.231258e-02 5.446564e-04 3.467087e-03 1.765583e-03
 [2411] 4.942811e-04 1.269118e-02 1.309904e-02 7.322223e-03 1.378497e-02
 [2416] 6.478889e-03 9.023727e-03 6.183965e-03 2.444803e-03 1.036977e-02
 [2421] 5.886806e-03 3.242438e-03 6.329192e-03 2.686104e-03 5.203118e-03
 [2426] 5.675563e-03 2.968844e-03 1.824234e-02 1.367772e-02 1.470996e-02
 [2431] 6.861963e-03 3.557471e-03 8.184653e-03 6.798390e-03 1.521815e-02
 [2436] 2.839256e-03 1.567069e-02 9.870517e-03 1.289914e-05 2.741961e-03
 [2441] 1.126348e-02 6.423032e-03 6.445375e-03 1.677544e-02 7.453032e-03
 [2446] 1.537455e-02 1.220310e-02 1.111155e-02 4.848882e-03 2.764304e-03
 [2451] 8.808016e-03 1.148914e-02 8.430587e-06 1.837640e-02 6.819602e-04
 [2456] 1.193377e-02 1.325431e-03 1.286221e-02 5.995064e-03 1.418145e-02
 [2461] 1.200973e-02 1.410000e-02 5.326003e-03 2.828085e-03 3.051512e-03
 [2466] 8.557777e-03 1.882987e-03 3.398838e-03 6.079967e-03 7.024052e-03
 [2471] 6.352548e-03 1.017661e-02 1.927234e-02 4.384153e-03 6.079967e-03
 [2476] 8.122093e-03 2.678844e-02 1.719223e-02 2.153334e-03 2.082850e-03
 [2481] 3.909473e-03 3.077102e-03 1.100207e-02 1.662249e-02 7.412725e-04
 [2486] 1.452451e-02 1.817633e-02 1.013517e-02 1.156857e-02 1.042900e-03
 [2491] 1.866126e-03 9.481753e-03 1.669509e-03 6.495542e-03 3.503849e-03
 [2496] 1.210926e-02 1.829364e-03 3.646842e-03 1.631863e-02 3.289358e-03
 [2501] 5.934739e-03 1.055867e-02 7.564746e-03 1.522607e-02 1.546624e-03
 [2506] 3.907239e-03 1.310229e-02 3.389901e-03 4.155244e-03 7.169280e-03
 [2511] 1.006043e-02 1.086578e-02 1.559127e-02 1.195733e-02 2.802286e-03
 [2516] 5.844355e-03 1.711180e-02 8.114378e-03 1.723793e-02 2.820161e-03
 [2521] 3.404527e-03 2.254889e-03 1.256505e-02 1.058772e-02 1.092054e-03
 [2526] 1.734071e-02 1.352132e-02 1.981751e-02 9.647000e-04 5.938104e-04
 [2531] 3.384419e-03 1.288455e-02 1.818193e-03 6.448622e-03 8.376801e-03
 [2536] 1.231806e-02 3.655779e-03 4.918144e-03 6.360472e-03 1.583594e-03
 [2541] 2.171208e-03 9.439302e-03 4.326061e-03 6.344832e-03 1.110160e-02
 [2546] 1.822670e-02 9.011335e-03 1.961073e-02 5.475700e-03 6.663202e-04
 [2551] 2.606108e-02 1.024689e-02 1.055745e-02 1.081895e-03 8.809237e-03
 [2556] 5.671095e-03 1.102340e-02 2.817926e-03 5.494587e-03 1.774288e-02
 [2561] 6.685455e-03 9.902900e-04 1.768601e-02 1.365648e-03 8.378022e-03
 [2566] 6.097841e-03 8.887436e-03 1.016768e-02 5.822012e-03 1.092286e-02
 [2571] 9.846953e-03 6.548151e-03 1.975149e-02 6.072161e-04 1.999178e-02
 [2576] 1.006815e-02 6.018628e-03 1.548859e-03 8.984523e-03 5.205353e-03
 [2581] 1.162329e-03 8.184653e-03 8.664009e-03 1.100106e-02 5.331485e-03
 [2586] 8.551074e-03 8.612621e-03 9.986699e-03 5.670082e-03 1.017316e-02
 [2591] 1.234487e-02 7.012880e-03 1.068603e-02 8.020538e-03 1.058102e-02
 [2596] 1.662807e-03 1.041121e-02 2.084071e-03 2.253876e-03 6.953658e-04
 [2601] 6.407302e-04 1.738772e-03 1.172487e-03 9.338760e-03 4.437775e-03
 [2606] 1.168019e-03 1.298510e-02 1.100553e-02 1.671744e-03 1.909798e-03
 [2611] 2.155455e-02 3.266002e-03 3.569864e-03 3.961875e-03 7.369143e-03
 [2616] 1.299850e-02 3.608859e-03 4.330530e-03 9.516281e-03 1.769819e-02
 [2621] 3.234633e-04 6.777060e-03 5.239880e-03 3.650298e-03 1.696210e-02
 [2626] 1.964648e-02 1.680672e-02 1.036754e-02 1.561037e-02 6.474420e-03
 [2631] 6.439775e-04 4.859040e-03 5.630878e-03 1.924217e-03 1.021460e-02
 [2636] 4.939474e-03 6.946865e-03 2.637611e-02 2.643653e-03 9.047083e-03
 [2641] 4.014484e-03 1.136748e-02 1.472893e-03 8.445050e-03 1.817308e-02
 [2646] 1.397264e-02 7.688644e-03 1.002021e-02 3.807710e-03 1.152936e-02
 [2651] 1.062570e-02 1.631071e-02 1.353464e-03 4.696951e-03 1.016199e-02
 [2656] 3.358621e-03 4.021187e-03 8.161297e-03 5.076868e-04 1.475119e-02
 [2661] 1.059553e-03 2.025542e-02 6.416329e-03 4.977457e-03 1.432891e-02
 [2666] 9.240452e-03 4.413198e-03 8.459469e-03 1.311915e-02 1.736651e-02
 [2671] 2.418998e-02 1.437145e-03 1.576677e-02 2.731780e-05 3.237970e-03
 [2676] 2.167297e-02 9.061710e-03 5.979424e-03 9.256092e-03 5.036561e-03
 [2681] 1.071385e-02 1.963876e-02 3.919424e-03 6.093372e-03 1.129253e-02
 [2686] 7.889729e-03 1.605153e-02 2.217913e-02 1.295706e-02 1.810036e-02
 [2691] 3.369792e-03 3.412243e-03 9.367805e-03 1.858410e-03 1.183322e-02
 [2696] 4.927081e-03 8.662788e-03 7.725524e-04 6.359251e-03 4.065873e-03
 [2701] 3.980970e-03 2.193661e-02 1.796529e-02 4.832229e-03 1.221975e-02
 [2706] 8.734285e-03 1.817856e-02 2.067547e-02 1.059219e-02 3.065931e-03
 [2711] 4.437775e-03 4.566350e-03 1.941078e-03 6.960271e-03 1.722798e-02
 [2716] 2.435633e-02 4.664568e-04 3.194506e-03 2.167419e-02 7.065372e-04
 [2721] 1.824896e-03 7.180451e-03 6.289989e-03 8.572404e-03 4.463483e-04
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 [9141] 7.701037e-03 2.007546e-02 1.960196e-05 8.369085e-03 1.035535e-02
 [9146] 5.580621e-04 6.526822e-03 1.253601e-02 1.078880e-02 3.777651e-03
 [9151] 1.093281e-02 3.086039e-03 1.217173e-03 3.869256e-03 8.725347e-03
 [9156] 1.144791e-02 1.399275e-02 5.531557e-03 1.827910e-02 2.861599e-03
 [9161] 6.991551e-03 1.807254e-02 4.338454e-03 8.373463e-04 1.287785e-02
 [9166] 1.473006e-02 7.851746e-03 6.536980e-03 3.898302e-03 9.866049e-03
 [9171] 1.086364e-03 4.046777e-03 1.109713e-02 4.948411e-03 6.138058e-03
 [9176] 1.422836e-02 1.592531e-03 1.236275e-02 4.987497e-04 5.501380e-04
 [9181] 2.188522e-02 4.071354e-03 1.193377e-02 2.597954e-03 1.028273e-03
 [9186] 2.948736e-03 1.787369e-02 1.199531e-02 7.423987e-03 1.050615e-03
 [9191] 8.958933e-03 2.263817e-02 1.171266e-03 1.087594e-02 2.855909e-03
 [9196] 5.274615e-03 7.697581e-03 1.544158e-02 4.827760e-03 3.883675e-03
 [9201] 1.263086e-02 2.983263e-03 9.686085e-03 7.549106e-03 9.422441e-03
 [9206] 5.390797e-03 1.203431e-02 9.466114e-03 3.870360e-04 8.763420e-04
 [9211] 3.524188e-05 1.504611e-02 9.439302e-03 1.477362e-03 1.662798e-02
 [9216] 4.124977e-03 6.752573e-04 1.183659e-03 9.931856e-03 6.950321e-03
 [9221] 5.912396e-03 3.287124e-03 1.096978e-02 5.210924e-04 1.421943e-02
 [9226] 4.214348e-03 4.486929e-03 3.770948e-03 6.893243e-03 3.413375e-04
 [9231] 2.573377e-03 9.614589e-03 1.200750e-02 1.046585e-02 1.042462e-02
 [9236] 1.581270e-04 2.892879e-03 1.019449e-02 3.196740e-03 5.985114e-03
 [9241] 3.827818e-03 3.966343e-03 2.013579e-02 2.835801e-03 9.352166e-03
 [9246] 8.398130e-03 4.595396e-03 9.989947e-03 4.500335e-03 1.577672e-02
 [9251] 5.769493e-04 1.018209e-02 7.344566e-03 8.651616e-03 2.057260e-03
 [9256] 4.663437e-03 1.255156e-03 1.511761e-02 1.048596e-02 1.132271e-03
 [9261] 5.312508e-04 5.702374e-03 9.279447e-03 9.395630e-03 1.056984e-02
 [9266] 6.382815e-03 1.819206e-03 9.835782e-03 8.540893e-05 9.297322e-03
 [9271] 5.410906e-03 2.255226e-02 1.035089e-02 9.019259e-03 1.522047e-03
 [9276] 3.987673e-03 8.440492e-04 5.557147e-03 1.355707e-02 1.624145e-02
 [9281] 3.186582e-03 4.034593e-03 7.971384e-03 1.186906e-03 1.659792e-02
 [9286] 2.027655e-02 6.150451e-03 3.096198e-03 7.251948e-03 1.417036e-03
 [9291] 2.299342e-02 3.389901e-03 3.588751e-03 1.678336e-02 1.153392e-03
 [9296] 3.277174e-03 1.565729e-02 1.255165e-02 1.247232e-03 9.726302e-03
 [9301] 2.492607e-02 4.831007e-03 3.058215e-03 2.566675e-03 6.770357e-03
 [9306] 2.274765e-02 1.973371e-03 5.426546e-03 1.983529e-03 5.274615e-03
 [9311] 2.602423e-03 8.693055e-03 1.300854e-03 8.317697e-03 9.662730e-03
 [9316] 3.925113e-03 1.366431e-02 6.368188e-03 4.426604e-03 1.175178e-02
 [9321] 5.939207e-03 4.056936e-03 4.195461e-03 2.162181e-04 7.040705e-03
 [9326] 1.269574e-03 4.138472e-04 6.004001e-03 7.882013e-03 1.353249e-02
 [9331] 4.661203e-03 5.079012e-03 5.959316e-03 8.045115e-03 1.063240e-02
 [9336] 1.375246e-02 1.044919e-02 4.942811e-04 9.602314e-04 6.809471e-04
 [9341] 2.192330e-03 1.792609e-02 1.341509e-02 1.151047e-02 4.741727e-04
 [9346] 8.916482e-03 1.675756e-02 2.594499e-03 1.016422e-02 7.638477e-03
 [9351] 7.354724e-03 2.074798e-02 4.976235e-03 2.535395e-03 2.016707e-02
 [9356] 1.570745e-02 9.803489e-03 1.707483e-02 6.749236e-03 4.399793e-03
 [9361] 1.392450e-02 4.614283e-03 4.035606e-03 1.919191e-02 2.535395e-03
 [9366] 6.783763e-03 1.992466e-03 7.721145e-03 5.265678e-03 7.466438e-03
 [9371] 7.667523e-03 3.894847e-03 7.121139e-03 2.318580e-04 1.328887e-03
 [9376] 3.541831e-03 1.582933e-02 1.407643e-02 6.007457e-03 4.795259e-03
 [9381] 3.777651e-03 2.766651e-02 1.594765e-03 7.724393e-03 4.961817e-03
 [9386] 1.682459e-02 8.267321e-03 4.997565e-03 5.862229e-03 7.261898e-03
 [9391] 4.262399e-04 6.789453e-03 1.157527e-02 2.358896e-02 1.019002e-02
 [9396] 1.283987e-02 8.756627e-03 3.554224e-03 1.668505e-02 1.691620e-02
 [9401] 1.082008e-02 2.105193e-03 1.401286e-02 1.531097e-02 3.682590e-03
 [9406] 1.393121e-02 3.309467e-03 3.311701e-03 1.090275e-02 7.412725e-04
 [9411] 1.210134e-02 1.882427e-02 8.887436e-03 2.437087e-03 1.264650e-02
 [9416] 2.530590e-02 1.508084e-02 1.923314e-02 2.687325e-03 8.224870e-03
 [9421] 1.347774e-03 2.493623e-02 1.374585e-03 8.408081e-03 8.871797e-03
 [9426] 9.327588e-03 1.122112e-03 1.959965e-03 1.132828e-02 3.770948e-03
 [9431] 1.249680e-02 1.100654e-02 7.559056e-03 8.417018e-03 5.935960e-03
 [9436] 1.283194e-02 8.240510e-03 9.622513e-03 3.941766e-03 1.581145e-02
 [9441] 3.436820e-03 2.700731e-03 1.271800e-02 5.856539e-03 1.250687e-03
 [9446] 6.172793e-03 6.787129e-04 3.452460e-03 8.250668e-03 1.654876e-02
 [9451] 2.192330e-03 3.294610e-02 1.429092e-02 2.768772e-03 3.054759e-03
 [9456] 1.722798e-02 1.027045e-02 1.176619e-02 1.405865e-03 5.737020e-04
 [9461] 1.135854e-02 1.413351e-02 9.709649e-03 1.423182e-02 1.025025e-03
 [9466] 1.735087e-02 1.112841e-02 4.312656e-03 5.592895e-03 4.984159e-03
 [9471] 1.714186e-02 3.512876e-04 1.465958e-02 7.609432e-03 4.343936e-03
 [9476] 2.563219e-03 9.944248e-03 4.434528e-03 6.620661e-03 5.987348e-03
 [9481] 2.998993e-04 6.094504e-04 1.148143e-02 2.283256e-02 1.641685e-03
 [9486] 1.125678e-02 1.924217e-03 9.530907e-03 6.896698e-03 4.674608e-03
 [9491] 2.615829e-03 1.068826e-02 1.038887e-02 2.229299e-03 3.882662e-03
 [9496] 1.717883e-02 9.423662e-03 4.026669e-03 2.429163e-03 6.217479e-03
 [9501] 5.309142e-03 3.535218e-04 4.927081e-03 6.079967e-03 8.070795e-04
 [9506] 3.122919e-04 5.507993e-03 1.210703e-02 2.663851e-04 2.278340e-02
 [9511] 2.105283e-04 1.042340e-02 6.892230e-03 1.366980e-02 1.437145e-03
 [9516] 6.981601e-03 4.280363e-03 1.096522e-03 3.450226e-03 2.582315e-03
 [9521] 2.623535e-02 1.390225e-03 7.918774e-03 1.093504e-02 1.032407e-02
 [9526] 8.976717e-04 5.664392e-03 1.029056e-02 5.685721e-03 3.325107e-03
 [9531] 3.565395e-03 1.652520e-02 1.515011e-02 1.176071e-02 1.139307e-02
 [9536] 5.145027e-03 6.838607e-03 1.270581e-02 1.125568e-03 7.267588e-03
 [9541] 3.386653e-03 2.710225e-02 3.300760e-05 2.728546e-02 4.422135e-03
 [9546] 2.707097e-02 5.769403e-03 4.542786e-03 8.834827e-03 1.303648e-02
 [9551] 6.372747e-04 8.349989e-03 2.105193e-03 6.277804e-03 7.516605e-03
 [9556] 4.682532e-03 1.272693e-02 8.763330e-03 1.589076e-03 1.710733e-02
 [9561] 8.590278e-03 1.110932e-02 2.032123e-02 5.871166e-03 5.014218e-03
 [9566] 1.477362e-03 1.232253e-02 5.121553e-04 4.628910e-03 1.971226e-04
 [9571] 2.689792e-02 3.169929e-03 8.369085e-03 3.472569e-03 9.490600e-04
 [9576] 9.377756e-03 7.734551e-03 5.940429e-03 1.714531e-02 9.607886e-03
 [9581] 1.356032e-02 7.221771e-04 1.485620e-02 5.552678e-03 1.939857e-03
 [9586] 4.879148e-03 1.306776e-02 7.059800e-03 1.114629e-02 7.822701e-03
 [9591] 1.401396e-03 1.291685e-02 5.804048e-04 1.590297e-03 2.410955e-02
 [9596] 2.437087e-03 8.383504e-03 3.462619e-03 2.732011e-03 3.236957e-03
 [9601] 1.228901e-02 4.562895e-03 7.686410e-03 1.054974e-02 2.576625e-03
 [9606] 1.376486e-02 1.363080e-02 3.254831e-03 1.816971e-03 5.942663e-03
 [9611] 6.350314e-03 1.045244e-02 1.795850e-03 2.702965e-03 1.106362e-02
 [9616] 1.098196e-02 6.229663e-03 1.913045e-03 8.182419e-03 1.130593e-02
 [9621] 1.760212e-02 8.378022e-03 2.064976e-03 2.956451e-03 1.257947e-02
 [9626] 3.683812e-03 1.829597e-02 1.271809e-03 5.893419e-04 5.876648e-03
 [9631] 5.036561e-03 1.059097e-02 1.869813e-02 9.866049e-03 2.400117e-03
 [9636] 2.196798e-03 5.644283e-03 4.845634e-03 1.641917e-02 1.923314e-02
 [9641] 2.618063e-03 7.141247e-03 1.253377e-02 4.633378e-03 2.992200e-03
 [9646] 1.876963e-02 1.947781e-03 6.398455e-03 5.476713e-03 2.510818e-03
 [9651] 5.333719e-03 8.841530e-03 6.609490e-03 2.916234e-03 4.764069e-04
 [9656] 1.014757e-02 7.409360e-03 3.246451e-02 5.456694e-04 5.334940e-03
 [9661] 3.921658e-03 2.412843e-02 3.916176e-03 2.993978e-02 1.852720e-03
 [9666] 6.567039e-03 1.787145e-02 2.169987e-03 1.946559e-03 6.009691e-03
 [9671] 7.077584e-04 8.504154e-03 5.151730e-03 6.476655e-03 2.474733e-02
 [9676] 6.797259e-04 3.484961e-03 1.287338e-02 1.601924e-02 5.180775e-03
 [9681] 1.385524e-02 2.206956e-03 1.451659e-02 7.333485e-04 4.687001e-03
 [9686] 1.967889e-03 4.307084e-04 7.213965e-03 3.221317e-03 4.033372e-03
 [9691] 1.106463e-02 1.717984e-02 1.973371e-03 7.263119e-03 1.014980e-02
 [9696] 5.446564e-04 8.590278e-03 6.530277e-03 3.836755e-03 1.012400e-02
 [9701] 5.495808e-03 2.694028e-03 2.893892e-03 1.694524e-02 1.488077e-02
 [9706] 5.751528e-03 5.250038e-03 5.506980e-03 4.561882e-03 8.109909e-03
 [9711] 1.122896e-02 7.006178e-03 5.482403e-03 1.259857e-02 6.791687e-03
 [9716] 6.546930e-03 2.590915e-02 3.514007e-03 1.113512e-02 1.610861e-02
 [9721] 8.456222e-03 1.416023e-03 3.626734e-03 1.934384e-02 6.742533e-03
 [9726] 5.194181e-03 6.431969e-03 1.164900e-02 4.120508e-03 1.318395e-02
 [9731] 1.260750e-02 8.005911e-03 7.221681e-03 2.376761e-03 2.988952e-03
 [9736] 3.366545e-03 6.410639e-03 3.158757e-03 9.314183e-03 5.582945e-03
 [9741] 8.144436e-03 2.184524e-04 1.306553e-02 5.990596e-03 6.052142e-03
 [9746] 3.884896e-03 3.219083e-03 5.787277e-03 4.642225e-04 1.495236e-03
 [9751] 1.427204e-02 6.100075e-03 4.311643e-03 1.125130e-02 7.249713e-03
 [9756] 1.895061e-02 1.149930e-02 1.634982e-03 1.096632e-02 6.126977e-04
 [9761] 9.674914e-03 5.866698e-03 1.152379e-03 1.540258e-02 7.423987e-03
 [9766] 4.843400e-03 1.713069e-02 1.601477e-02 7.576931e-03 1.796863e-03
 [9771] 2.145523e-02 1.212704e-03 4.594174e-03 4.138382e-03 4.978470e-03
 [9776] 3.765259e-03 2.371071e-03 5.331485e-03 1.821654e-02 5.620928e-03
 [9781] 2.022525e-03 1.045134e-03 2.231533e-03 2.717384e-03 3.060449e-03
 [9786] 1.275050e-02 3.867022e-03 5.843134e-03 8.984523e-03 2.048109e-02
 [9791] 7.635022e-03 4.986394e-03 6.200618e-03 1.063017e-02 2.066653e-02
 [9796] 1.298620e-03 1.854051e-02 4.591940e-03 1.581816e-02 1.513341e-05
 [9801] 9.194545e-03 1.235381e-02 4.064651e-03 1.359729e-02 8.428279e-04
 [9806] 4.912663e-03 6.752483e-03 3.282545e-02 5.657689e-03 2.162181e-04
 [9811] 1.823218e-02 7.649649e-03 8.019317e-03 7.045173e-03 1.785134e-02
 [9816] 1.529534e-02 2.800052e-03 1.850486e-03 2.308512e-03 7.868607e-03
 [9821] 2.399104e-03 6.313553e-03 1.153505e-02 4.562985e-04 8.157842e-03
 [9826] 7.325679e-03 4.759511e-03 4.870211e-03 1.027269e-02 9.072881e-03
 [9831] 7.649649e-03 8.547827e-03 3.549755e-03 9.018037e-03 7.063047e-03
 [9836] 2.283256e-02 5.170617e-03 1.617218e-02 1.704245e-03 1.149361e-02
 [9841] 4.154022e-03 5.003047e-03 1.586385e-02 1.289796e-02 1.233269e-02
 [9846] 2.328620e-03 8.227194e-04 1.526507e-02 9.365571e-03 2.231533e-03
 [9851] 1.465177e-03 4.746105e-03 2.014148e-02 3.447992e-03 2.445363e-02
 [9856] 3.402062e-05 8.257371e-03 3.678122e-03 1.998061e-02 7.020686e-04
 [9861] 1.602249e-02 2.819148e-03 4.133914e-03 4.709254e-04 1.737869e-02
 [9866] 1.032741e-03 1.676772e-02 1.088142e-02 9.837003e-03 9.815673e-03
 [9871] 7.313286e-03 7.698803e-03 1.314474e-02 7.099027e-05 6.335895e-03
 [9876] 9.904031e-03 4.581990e-03 8.631508e-03 4.504803e-03 2.564350e-04
 [9881] 9.575593e-03 4.540552e-03 8.655072e-03 1.268471e-04 1.165448e-02
 [9886] 7.703181e-04 1.141765e-02 5.178451e-04 9.547560e-03 1.306330e-02
 [9891] 3.127477e-03 7.793655e-03 1.020557e-03 2.051907e-02 1.020891e-02
 [9896] 2.546566e-03 6.352548e-03 5.558368e-03 1.791939e-02 5.771637e-03
 [9901] 5.209821e-03 2.651577e-03 5.141572e-03 1.402850e-02 7.914396e-04
 [9906] 4.767435e-03 2.193551e-03 6.921185e-04 4.250096e-03 1.108698e-02
 [9911] 1.014086e-02 1.005251e-02 5.243335e-03 1.416479e-02 3.153067e-03
 [9916] 9.415738e-03 4.037840e-03 6.729128e-03 5.500277e-03 7.857436e-03
 [9921] 3.367558e-03 7.387017e-03 9.396851e-03 1.715326e-04 6.160401e-03
 [9926] 1.496568e-02 5.817544e-03 4.307084e-04 3.304998e-03 2.054242e-02
 [9931] 6.870900e-03 2.701744e-03 2.048779e-02 4.551723e-03 1.167459e-02
 [9936] 1.179199e-02 4.444478e-03 1.573436e-03 1.582373e-03 1.629292e-03
 [9941] 6.774916e-04 1.745475e-03 6.939149e-03 1.258516e-02 5.467776e-03
 [9946] 1.301739e-02 5.367233e-03 2.846972e-03 1.188014e-02 6.782750e-03
 [9951] 2.759156e-02 1.414346e-02 6.325737e-03 3.737434e-03 1.240418e-02
 [9956] 1.210357e-02 4.418888e-03 2.965388e-03 1.287448e-03 8.317466e-05
 [9961] 1.070491e-02 6.216257e-03 1.281854e-02 5.041029e-03 2.140485e-02
 [9966] 6.010704e-03 2.734245e-03 2.855909e-03 6.591616e-03 6.790466e-03
 [9971] 2.847857e-02 3.485974e-03 3.411230e-03 2.307499e-03 2.189762e-02
 [9976] 4.207645e-03 1.268123e-02 4.672374e-03 3.177735e-04 5.930270e-03
 [9981] 9.802268e-03 8.410315e-03 1.142110e-02 1.029279e-02 4.064651e-03
 [9986] 1.585837e-02 7.017349e-03 4.942811e-04 1.609967e-02 5.256741e-03
 [9991] 2.243718e-03 7.457501e-03 8.624805e-03 4.815368e-03 3.873725e-03
 [9996] 1.505627e-02 2.254433e-02 1.590306e-02 6.220726e-03 1.753733e-02
# Your code here
N <- 10^4 
girlsAdiff <- numeric(N)
girlsWdiff <- numeric(N)
for(i in 1: N)
{
  girlsAdiff[i] <- mean(sample(girlsA$Weight, length(girlsA$Weight), replace = FALSE))
  girlsWdiff[i] <- mean(sample(girlsW$Weight, length(girlsW$Weight), replace = FALSE))
}
femaleDifference <- girlsAdiff - girlsWdiff
mean(femaleDifference)
[1] 308.45
  1. Not enough information to decide.

  1. Do chocolate and vanilla ice creams have the same number of calories? The data set IceCream contains calorie information for a sample of brands of chocolate and vanilla ice cream. Use the bootstrap to determine whether or not there is a difference in the mean number of calories.
IceCream <- read.csv("http://www1.appstate.edu/~arnholta/Data/IceCream.csv")
head(IceCream)
           Brand VanillaCalories VanillaFat VanillaSugar ChocolateCalories
1 Baskin Robbins             260       16.0         26.0               260
2  Ben & Jerry's             240       16.0         19.0               260
3     Blue Bunny             140        7.0         12.0               130
4        Breyers             140        7.0         13.0               140
5      Brigham's             190       12.0         17.0               200
6          Bulla             234       13.5         21.8               266
  ChocolateFat ChocolateSugar
1           14           31.0
2           16           22.0
3            7           14.0
4            8           16.0
5           12           18.0
6           15           22.6

Your answer:

# Your code here
calChoc <- IceCream$ChocolateCalories
calVan <- IceCream$VanillaCalories
calDiff <- calVan - calChoc

meanDifference <- mean(calDiff)


simulation = 10^4
meanBootDifference <- numeric(simulation)
for(i in 1:simulation){
  meanBootDifference[i] <- mean(sample(calDiff,length(calDiff),replace=TRUE))
}
quantile(meanBootDifference, prob = c(.05, .95))
        5%        95% 
-10.717949  -4.025641 

Based on the results from the confidence interval it is safe to say that there is a noticable difference in calorie content.


  1. Import the data from Flight Delays Case Study in Section 1.1 data into R. Although the data are on all UA and AA flights flown in May and June of 2009, we will assume these represent a sample from a larger population of UA and AA flights flown under similar circumstances. We will consider the ratio of the means of the flight delay lengths, \(\mu_{\text{UA}} / \mu_{\text{AA}}\).

    1. Perform some exploratory data analysis on flight delay lengths for each of UA and AA flights.

    2. Bootstrap the mean of flight delay lengths for each airline seperately and describe the distribution.

    3. Bootstrap the ratio of means. Provide plots of the bootstrap distribution and describe the distribution.

    4. Find the 95% bootstrap percentile interval for the ratio of means. Interpret this interval.

    5. What is the bootstrap estimate of the bias? What fraction of the bootstrap standard error does it represent?

    6. For inference in this text, we assume that the observations are independent. Is that condition met here? Explain.

FlightDelays <- read.csv("http://www1.appstate.edu/~arnholta/Data/FlightDelays.csv")

Your answers:

# Your code here
group_by(FlightDelays,Carrier) %>% 
  filter(Carrier =="UA") %>% 
  summarize(mean(Delay))
# A tibble: 1 x 2
  Carrier `mean(Delay)`
   <fctr>         <dbl>
1      UA      15.98308
group_by(FlightDelays,Carrier) %>% 
  filter(Carrier =="AA") %>% 
  summarize(mean(Delay))
# A tibble: 1 x 2
  Carrier `mean(Delay)`
   <fctr>         <dbl>
1      AA      10.09738
# Your code here
UA<-FlightDelays %>% 
      group_by(Carrier) %>% 
      filter(Carrier=="UA")
AA<-FlightDelays %>% 
      group_by(Carrier) %>% 
      filter(Carrier =="AA")
simulation<-10^4
UAMean<-numeric(simulation)
AAMean<-numeric(simulation)
for(i in 1:simulation)
{
  UAMean[i]<-mean(sample(UA$Delay,length(UA$Delay),replace = TRUE))
  AAMean[i]<-mean(sample(AA$Delay,length(AA$Delay),replace =TRUE))
}


hist(UAMean)

hist(AAMean)

The histograms have a normal distribution. c.

# Your code here
ratioMean<-numeric(simulation)
for(i in 1:simulation)
{
  ratioMean[i]<-AAMean[i]/UAMean[i]
}
hist(ratioMean)

The distribution for this appears to be more left oriented than the previous histograms d.

# Your code here
quantile(ratioMean,c(.05,.95))
       5%       95% 
0.5242160 0.7618419 
# Your code here
difference <- AAMean - UAMean
oDifference <- mean(AA$Delay) - mean(UA$Delay)
oSd <- sd(AA$Delay) - sd(UA$Delay)
bDifference <- mean(difference)
bDifference
[1] -5.884518
bSD <- sd(difference)
bSD
[1] 1.55063
abs((bDifference - difference) / (sd(difference)*100))
    [1] 6.459248e-03 4.595515e-03 9.005952e-03 8.315188e-03 1.500169e-02
    [6] 8.533987e-03 2.945658e-03 2.768075e-03 1.253306e-02 1.239635e-02
   [11] 7.522449e-03 7.372763e-03 9.298619e-03 1.629805e-02 2.981051e-03
   [16] 3.573128e-03 1.792411e-03 6.312389e-03 1.893761e-02 1.150142e-03
   [21] 8.863804e-03 3.656527e-03 1.897322e-02 1.165243e-02 5.156913e-03
   [26] 1.231710e-02 9.178089e-03 2.372065e-03 2.294399e-03 7.312303e-03
   [31] 2.340384e-02 2.296947e-03 3.057017e-03 1.192261e-02 9.718985e-04
   [36] 5.287880e-03 1.838414e-03 7.215198e-03 4.938501e-03 4.948776e-04
   [41] 1.575893e-02 1.882418e-03 3.798779e-03 2.492087e-02 7.770851e-03
   [46] 7.641401e-03 9.247020e-03 7.784784e-04 6.990162e-03 2.409139e-02
   [51] 3.305759e-03 1.221439e-03 7.225418e-03 6.348538e-03 5.560805e-04
   [56] 1.577053e-02 6.233468e-03 8.519412e-04 9.598023e-03 9.749450e-03
   [61] 2.761836e-03 4.073604e-03 2.882205e-03 1.119386e-03 1.739004e-02
   [66] 1.185495e-02 3.114157e-03 1.606823e-02 4.113170e-03 6.809138e-03
   [71] 6.102274e-03 1.814888e-03 1.327877e-02 7.229590e-03 3.076124e-03
   [76] 3.595603e-03 8.074208e-03 2.442449e-03 1.208936e-02 1.341399e-02
   [81] 1.347428e-02 1.087289e-03 9.167341e-03 6.402185e-03 9.663748e-03
   [86] 2.524724e-03 5.028813e-03 1.576087e-04 5.533268e-03 3.175405e-03
   [91] 3.313150e-03 1.296347e-02 6.515632e-03 2.521904e-03 9.851401e-03
   [96] 1.283109e-02 2.678434e-02 3.043730e-03 1.166316e-02 1.544703e-02
  [101] 1.053065e-03 1.653321e-03 2.260990e-02 6.156887e-03 9.462439e-03
  [106] 2.565006e-02 9.546138e-03 1.264168e-02 2.064770e-02 2.681091e-03
  [111] 2.114438e-02 1.244610e-02 6.836067e-03 1.893870e-03 6.125051e-04
  [116] 7.493086e-03 9.992009e-03 3.783330e-03 5.700177e-03 8.598866e-03
  [121] 2.934175e-03 3.838623e-04 5.771385e-03 1.336819e-02 1.676712e-02
  [126] 4.748731e-03 9.067581e-03 1.081192e-02 2.002845e-02 5.535563e-03
  [131] 4.126138e-03 1.304711e-03 6.945522e-04 1.664263e-02 1.526815e-02
  [136] 1.119478e-02 1.069119e-02 4.016871e-03 1.019530e-02 6.587973e-03
  [141] 1.017454e-02 2.210127e-03 7.912679e-03 5.784117e-03 1.469420e-02
  [146] 1.101448e-02 1.787970e-02 1.490779e-02 1.154328e-02 5.174102e-03
  [151] 1.262026e-02 7.189704e-03 7.350570e-04 2.646485e-03 1.014695e-02
  [156] 2.619110e-03 9.989328e-03 2.743310e-03 1.048742e-02 6.307929e-03
  [161] 1.488160e-02 1.779322e-02 4.737052e-03 2.539195e-03 2.829933e-02
  [166] 1.302360e-03 3.039700e-03 1.813894e-03 3.799901e-03 7.180027e-03
  [171] 6.744160e-03 1.734316e-02 1.725231e-02 4.460603e-03 6.867357e-03
  [176] 7.491644e-04 4.563804e-03 3.414567e-03 1.031710e-03 3.095979e-03
  [181] 2.498393e-03 6.597261e-03 1.715738e-02 1.673976e-02 1.901018e-02
  [186] 1.008895e-02 9.264477e-03 5.682664e-03 1.180812e-02 1.022211e-02
  [191] 1.037251e-02 7.745711e-03 4.114926e-04 8.019621e-03 3.938974e-03
  [196] 1.509186e-03 7.214728e-04 4.093650e-03 4.062585e-03 4.694650e-03
  [201] 3.366733e-03 6.301728e-03 3.108051e-03 5.401759e-03 9.150063e-03
  [206] 1.282848e-02 9.145649e-04 8.310540e-03 1.671580e-02 1.036698e-03
  [211] 1.827735e-03 1.683882e-03 7.092802e-03 4.709257e-03 3.919365e-03
  [216] 2.638675e-04 1.396258e-02 3.792365e-03 8.075990e-03 2.766318e-03
  [221] 6.393094e-04 3.979483e-03 1.052916e-02 1.795817e-02 3.494223e-03
  [226] 1.469932e-02 8.197845e-03 1.095795e-02 1.243674e-02 9.440804e-03
  [231] 6.733258e-03 1.055459e-03 6.858842e-03 2.740810e-03 9.304722e-03
  [236] 1.786825e-02 4.986835e-03 1.013646e-02 2.270400e-02 1.107603e-02
  [241] 2.180280e-02 4.245858e-03 1.444049e-02 1.014022e-02 9.770303e-03
  [246] 3.872762e-03 2.035438e-02 8.391688e-03 1.011099e-03 1.421943e-02
  [251] 1.902635e-03 8.030612e-03 5.456948e-03 7.066759e-03 7.867552e-03
  [256] 9.959354e-03 1.360065e-03 1.909250e-03 1.909551e-03 1.063394e-02
  [261] 5.313882e-03 6.457196e-03 4.779126e-03 5.048607e-03 1.126743e-02
  [266] 1.078163e-02 4.005204e-03 2.581545e-03 2.198399e-03 9.919168e-04
  [271] 1.111519e-02 6.005578e-03 1.097002e-02 6.933959e-03 3.507164e-04
  [276] 2.843154e-03 2.225365e-02 4.044164e-03 5.304274e-03 1.214017e-02
  [281] 4.439035e-03 1.368446e-02 3.787847e-03 3.002676e-03 3.485840e-03
  [286] 8.344172e-03 4.495970e-03 3.339433e-03 4.605012e-03 9.711888e-03
  [291] 3.312359e-03 2.397685e-04 1.328063e-02 1.017904e-02 2.295546e-02
  [296] 5.022894e-03 1.327834e-02 6.429593e-03 9.557623e-03 1.765269e-03
  [301] 3.010256e-03 1.195350e-03 1.423570e-03 1.104634e-02 2.661994e-03
  [306] 1.724312e-03 2.398286e-02 4.780631e-03 9.603740e-03 2.686876e-02
  [311] 1.119274e-02 1.457122e-02 1.239241e-02 1.137186e-02 3.836367e-03
  [316] 3.127812e-03 1.374286e-02 1.161473e-03 9.359585e-03 2.297306e-03
  [321] 1.736710e-02 1.557780e-02 7.964513e-04 1.066457e-03 8.879999e-03
  [326] 1.522688e-02 1.670207e-03 2.963802e-02 8.160646e-03 5.027483e-04
  [331] 5.444083e-03 5.865980e-03 7.305495e-04 1.446235e-02 4.086621e-03
  [336] 1.813521e-03 6.259543e-03 7.200786e-03 4.917277e-04 1.807133e-02
  [341] 4.087746e-03 4.269482e-03 2.023408e-02 7.681004e-03 1.209065e-03
  [346] 1.848749e-02 1.406597e-02 2.650338e-02 1.043420e-02 1.194699e-02
  [351] 1.415497e-02 6.388608e-03 1.264859e-03 1.158758e-03 9.726458e-03
  [356] 4.955996e-03 1.147467e-02 2.262662e-02 9.926607e-03 4.223972e-03
  [361] 6.734351e-03 1.084683e-02 1.323116e-02 1.313583e-02 1.310908e-02
  [366] 1.011190e-02 1.105970e-02 4.059437e-04 3.988256e-04 5.292472e-03
  [371] 2.467539e-04 2.710268e-02 2.431744e-02 5.155404e-03 1.095001e-02
  [376] 1.781587e-02 3.474794e-03 9.478163e-03 3.195100e-02 4.258464e-03
  [381] 1.950147e-02 1.720326e-02 1.589702e-02 1.013217e-02 9.605922e-03
  [386] 8.642493e-03 6.838948e-03 9.790307e-03 1.116592e-02 1.160829e-02
  [391] 3.536902e-03 1.731683e-02 1.135429e-02 3.041793e-03 6.233525e-03
  [396] 6.328289e-03 1.918387e-02 1.160120e-03 1.159345e-02 1.094166e-02
  [401] 1.038939e-02 4.158325e-03 3.758271e-03 1.932253e-02 1.087987e-02
  [406] 6.878825e-04 2.183643e-03 1.068121e-02 2.920243e-03 6.505968e-04
  [411] 1.573931e-02 4.891317e-03 3.724053e-03 1.482887e-02 2.230996e-04
  [416] 5.738877e-03 9.195953e-03 5.181836e-03 5.671434e-03 8.260779e-03
  [421] 1.805555e-02 1.108859e-03 1.111887e-02 2.477978e-02 1.865122e-03
  [426] 5.894692e-03 2.356265e-04 3.576512e-03 2.070673e-02 5.136864e-03
  [431] 4.237275e-03 6.694407e-03 5.284336e-03 2.093213e-02 6.786134e-03
  [436] 1.185853e-02 8.673531e-04 1.800945e-02 9.253729e-03 3.111675e-02
  [441] 1.716090e-02 9.534933e-03 5.024741e-03 1.957542e-02 6.470988e-03
  [446] 2.059429e-03 1.985606e-03 9.294099e-04 5.672746e-03 6.052077e-03
  [451] 5.432213e-03 5.765126e-03 3.021771e-03 5.758674e-03 4.454584e-04
  [456] 6.698654e-03 3.606385e-03 1.702555e-03 1.630566e-02 1.454912e-02
  [461] 2.329392e-03 6.111120e-03 7.534097e-03 6.425833e-03 1.226487e-02
  [466] 1.020931e-02 2.141808e-02 1.275399e-02 4.753435e-04 1.935397e-02
  [471] 1.101499e-02 4.016804e-03 7.841795e-03 2.299780e-03 1.069185e-02
  [476] 5.307607e-03 3.251499e-03 1.712807e-03 3.901671e-03 5.149258e-03
  [481] 8.602464e-03 5.238893e-03 6.341745e-03 5.413815e-03 1.437624e-02
  [486] 1.239024e-05 1.081175e-02 8.452539e-03 8.847296e-03 6.529274e-03
  [491] 8.088256e-03 1.732023e-02 1.110121e-02 4.862501e-03 1.619491e-02
  [496] 1.737051e-02 1.663886e-02 1.191702e-02 7.809892e-03 1.162092e-03
  [501] 2.444486e-03 6.489636e-03 1.039406e-02 1.411071e-02 2.770978e-03
  [506] 1.351638e-02 8.505256e-03 1.101508e-02 1.666970e-03 3.037320e-04
  [511] 2.713342e-03 2.775460e-03 3.354411e-04 4.655266e-03 2.672014e-02
  [516] 1.143074e-02 1.664704e-03 1.336111e-02 1.319058e-02 1.566368e-02
  [521] 3.940960e-03 3.936561e-03 1.490874e-02 6.225747e-03 6.953485e-03
  [526] 4.725432e-03 7.800833e-03 1.319172e-02 6.185563e-03 2.912076e-03
  [531] 1.771978e-03 8.367648e-03 9.557554e-03 5.506274e-03 4.067075e-03
  [536] 9.134645e-04 4.067670e-03 5.545991e-03 1.527202e-02 1.161448e-02
  [541] 3.464178e-03 8.174946e-03 2.157615e-02 1.646990e-03 1.192014e-02
  [546] 3.055739e-03 5.178283e-03 1.499858e-02 3.640811e-03 8.631824e-03
  [551] 8.764040e-04 4.887889e-04 7.610893e-03 7.515559e-03 1.082078e-02
  [556] 7.434762e-03 5.547429e-03 1.599901e-02 8.432801e-04 1.223519e-02
  [561] 2.354784e-02 4.845049e-04 1.042883e-02 5.568278e-03 4.279802e-03
  [566] 2.918785e-03 1.467590e-02 1.645835e-02 2.916287e-03 6.933200e-03
  [571] 7.824191e-03 1.085572e-02 1.075480e-02 7.218002e-03 1.213578e-02
  [576] 3.739023e-03 6.714946e-03 5.393445e-03 1.641052e-03 2.589190e-04
  [581] 1.959715e-03 4.994597e-03 1.457289e-02 7.054918e-03 1.881179e-02
  [586] 1.006990e-02 2.029530e-03 4.134455e-03 3.982627e-03 3.543719e-03
  [591] 1.784762e-02 9.787342e-04 3.844266e-03 5.772784e-03 2.534476e-02
  [596] 1.664091e-03 1.755836e-02 3.489856e-03 6.822619e-03 2.699050e-03
  [601] 6.167372e-03 1.409330e-03 7.167134e-03 3.420757e-03 1.509518e-02
  [606] 8.932376e-03 2.187168e-03 1.926650e-02 6.504884e-03 1.306049e-03
  [611] 1.708828e-02 2.446613e-03 1.377996e-02 2.296786e-03 1.553052e-03
  [616] 2.797409e-02 1.470443e-02 2.142470e-03 1.197875e-02 6.268955e-03
  [621] 2.022092e-02 1.922006e-02 7.282501e-03 9.291501e-03 8.308506e-03
  [626] 5.707579e-03 3.728236e-04 3.307795e-03 5.216350e-03 1.290994e-02
  [631] 2.247409e-02 1.404977e-02 1.438356e-02 9.445057e-03 8.076034e-03
  [636] 4.782578e-03 9.208249e-03 1.654035e-03 5.597785e-03 1.236481e-02
  [641] 1.169498e-02 1.585845e-02 7.935641e-03 1.839321e-03 1.845424e-02
  [646] 1.080154e-02 1.582816e-02 1.801726e-02 2.730916e-03 2.506535e-03
  [651] 2.836700e-03 1.981953e-02 8.487748e-03 6.530286e-03 4.041590e-04
  [656] 1.624059e-02 1.310920e-03 1.991550e-02 3.168944e-03 1.005749e-02
  [661] 8.352350e-04 8.473656e-03 2.232831e-03 2.967298e-02 2.656074e-02
  [666] 1.260301e-02 2.435815e-03 2.934967e-03 8.326936e-03 1.779766e-02
  [671] 2.983845e-03 2.294427e-03 4.898899e-04 1.312970e-03 3.522461e-04
  [676] 7.589622e-03 9.752227e-03 2.598611e-03 3.222182e-03 6.726307e-04
  [681] 1.376151e-02 1.839258e-02 2.772228e-03 5.143069e-03 2.860918e-03
  [686] 1.166250e-02 3.494767e-03 5.975276e-03 1.712501e-02 2.418139e-02
  [691] 8.218049e-03 1.426358e-02 1.502062e-03 8.516038e-03 4.987311e-04
  [696] 9.081434e-03 1.933026e-02 5.089381e-03 5.392320e-04 1.894446e-02
  [701] 2.806246e-03 6.867007e-03 9.753342e-03 3.668176e-03 1.114126e-02
  [706] 1.657627e-03 1.833588e-03 6.258844e-03 4.625612e-03 1.987913e-02
  [711] 7.269358e-03 1.408494e-02 9.387211e-03 8.006413e-03 5.660172e-03
  [716] 1.380082e-02 1.214213e-02 2.819745e-03 3.064139e-03 6.236386e-04
  [721] 7.490490e-03 1.768341e-02 1.474001e-03 1.296505e-03 4.383134e-03
  [726] 1.995734e-02 8.310694e-03 6.547743e-03 1.738505e-03 1.991241e-02
  [731] 1.403731e-03 7.913906e-03 1.428138e-02 9.676577e-04 1.014506e-02
  [736] 2.124804e-02 1.826761e-03 2.040259e-02 1.166903e-02 1.966298e-02
  [741] 1.237992e-02 9.989792e-03 5.904376e-03 5.442277e-03 4.865793e-03
  [746] 1.336088e-02 1.155016e-02 7.343894e-03 8.708451e-03 1.245060e-02
  [751] 8.947367e-03 5.936226e-03 8.214594e-03 4.272738e-04 1.165684e-03
  [756] 1.955456e-03 3.186648e-03 1.607141e-03 1.739643e-02 4.042233e-03
  [761] 1.319505e-02 1.222863e-02 2.202520e-04 1.154497e-02 4.764248e-03
  [766] 1.743753e-02 1.010852e-02 3.880686e-03 2.912184e-03 1.393158e-02
  [771] 8.549279e-03 3.706539e-03 1.000736e-03 1.121880e-02 4.269556e-03
  [776] 2.450206e-03 1.806474e-03 8.796474e-03 2.302439e-02 1.762516e-03
  [781] 1.307092e-02 1.975739e-02 1.017494e-02 7.302587e-04 1.185956e-02
  [786] 3.534527e-05 1.043412e-02 1.011477e-03 2.820770e-03 3.014957e-03
  [791] 1.067466e-02 4.309527e-03 2.591974e-02 7.908479e-05 1.324071e-02
  [796] 1.577599e-02 1.127522e-02 1.286185e-03 4.572325e-03 2.024252e-02
  [801] 1.075798e-03 1.147138e-02 8.127186e-03 6.379625e-03 3.603926e-03
  [806] 9.554481e-03 3.244667e-03 1.115916e-02 5.510306e-03 1.474909e-04
  [811] 6.771566e-03 4.468454e-03 3.317808e-03 9.808997e-03 1.724545e-02
  [816] 4.511595e-03 1.091969e-02 8.022969e-03 2.147401e-03 5.286665e-03
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 [1726] 3.649516e-03 1.482663e-02 3.397849e-03 2.045515e-03 6.320693e-03
 [1731] 6.556770e-03 1.150882e-02 9.802111e-03 2.651781e-03 4.148881e-03
 [1736] 1.960309e-02 1.019520e-02 1.184172e-02 1.211452e-02 1.083970e-02
 [1741] 3.372740e-03 1.935116e-03 8.699392e-03 7.715227e-03 1.260732e-02
 [1746] 1.249647e-04 2.081457e-03 1.782139e-02 6.038347e-03 2.958965e-03
 [1751] 1.259816e-02 8.800712e-03 1.781537e-02 1.133150e-02 8.006940e-03
 [1756] 2.961429e-03 9.766307e-03 6.786646e-03 2.981853e-03 3.622871e-03
 [1761] 6.781204e-04 1.413931e-02 7.005977e-03 8.501818e-03 4.076703e-03
 [1766] 5.768893e-03 1.969007e-03 1.150182e-02 7.099265e-04 5.104441e-03
 [1771] 3.297123e-03 7.047934e-03 6.549881e-03 2.636620e-03 2.481911e-03
 [1776] 4.866562e-03 4.336064e-03 2.073254e-02 9.872099e-03 9.359134e-03
 [1781] 2.265302e-03 5.874839e-05 4.749009e-04 5.193841e-03 7.778873e-03
 [1786] 1.914220e-02 1.482731e-02 1.711624e-02 3.109820e-03 3.161513e-03
 [1791] 2.380509e-03 2.099127e-03 1.731057e-02 3.612880e-03 7.683199e-05
 [1796] 1.537023e-02 4.040846e-03 1.145873e-02 9.042909e-03 4.674446e-03
 [1801] 1.638418e-02 1.179431e-02 2.577062e-02 3.620385e-03 4.150758e-03
 [1806] 8.861724e-03 3.337644e-03 7.394777e-04 1.996840e-02 1.395181e-02
 [1811] 1.469543e-03 7.085471e-03 1.496422e-03 1.458329e-04 3.608764e-03
 [1816] 2.420430e-04 1.321220e-02 1.363677e-02 7.651217e-04 1.697057e-02
 [1821] 3.746884e-03 1.567403e-02 4.211478e-04 7.711491e-03 5.794443e-04
 [1826] 1.297557e-02 2.796719e-03 6.013728e-03 5.331224e-03 6.089698e-03
 [1831] 1.697630e-02 4.667157e-04 4.502926e-03 3.514818e-03 2.303877e-03
 [1836] 7.869733e-03 7.036380e-03 5.149031e-03 6.783043e-03 1.345104e-02
 [1841] 1.170981e-02 1.499940e-02 7.560788e-03 5.745898e-03 5.139482e-03
 [1846] 1.724031e-03 1.400478e-02 1.680484e-02 3.710774e-03 8.051386e-03
 [1851] 9.812891e-04 1.118968e-02 3.390755e-03 1.071025e-02 6.670820e-03
 [1856] 2.934464e-02 1.289670e-02 1.247771e-02 1.337891e-02 2.393506e-02
 [1861] 6.516733e-03 1.415955e-02 3.809091e-03 4.396475e-03 1.563882e-02
 [1866] 1.454002e-02 8.318174e-03 1.621673e-02 1.727057e-02 1.090906e-02
 [1871] 4.367558e-03 1.365338e-02 1.143286e-02 4.418562e-03 9.126707e-03
 [1876] 1.367418e-02 6.223915e-03 2.008041e-02 1.447565e-02 2.773019e-03
 [1881] 1.451292e-02 4.183776e-03 3.632353e-03 1.296825e-02 1.797206e-02
 [1886] 2.144114e-03 8.837939e-03 2.542389e-02 9.861061e-03 1.481471e-02
 [1891] 1.634092e-02 5.089754e-03 1.694895e-02 8.659824e-03 1.105463e-02
 [1896] 7.830460e-03 5.058647e-04 6.670231e-03 2.243959e-04 9.164603e-03
 [1901] 4.268238e-03 7.301551e-03 6.687604e-03 8.842691e-03 1.208096e-02
 [1906] 3.730563e-03 8.821381e-03 1.737355e-02 2.069839e-02 2.160411e-03
 [1911] 7.663735e-03 9.409367e-04 1.029398e-02 2.576736e-03 1.987628e-03
 [1916] 1.651426e-02 6.147137e-03 6.025290e-03 9.260410e-03 2.798392e-02
 [1921] 1.694996e-02 7.481399e-03 7.039180e-03 7.855802e-03 3.947580e-03
 [1926] 1.564902e-02 9.532281e-03 1.888823e-03 6.744153e-03 2.506511e-04
 [1931] 2.917868e-03 9.113716e-03 1.026276e-03 1.936039e-02 4.254428e-03
 [1936] 8.173458e-03 2.697466e-03 2.622495e-03 4.312126e-03 5.392147e-03
 [1941] 3.519356e-03 1.533036e-02 1.054427e-02 6.176263e-03 6.450873e-04
 [1946] 1.133354e-02 8.792333e-03 4.104418e-03 1.575644e-02 8.249096e-03
 [1951] 5.664545e-03 5.410133e-03 1.052267e-02 1.964576e-02 1.632576e-02
 [1956] 1.731310e-02 5.187435e-03 2.234558e-03 2.748025e-03 1.429028e-03
 [1961] 1.250823e-02 7.478988e-03 6.046585e-03 6.929727e-03 3.379224e-03
 [1966] 8.581970e-03 1.339683e-02 1.326779e-03 1.756716e-02 9.577968e-04
 [1971] 3.414187e-04 5.418012e-03 5.984890e-03 6.368124e-03 1.532366e-03
 [1976] 1.390025e-03 7.004244e-03 1.497500e-02 1.999882e-03 1.032181e-02
 [1981] 9.571535e-03 3.359797e-03 2.626856e-03 1.676770e-02 2.994336e-03
 [1986] 7.568736e-03 5.168756e-03 4.547582e-03 4.012866e-03 9.265640e-03
 [1991] 2.095265e-02 5.398166e-03 5.821181e-03 3.469800e-03 1.129153e-02
 [1996] 4.830948e-03 6.671733e-03 1.579228e-02 1.486121e-03 2.452954e-02
 [2001] 1.004171e-03 7.448799e-03 3.141781e-03 1.476521e-02 1.794336e-03
 [2006] 4.368807e-03 8.467208e-03 7.805124e-03 1.325291e-03 3.694015e-03
 [2011] 1.638931e-03 4.360439e-04 3.078765e-03 1.089489e-02 9.866317e-03
 [2016] 1.461802e-03 1.732582e-02 6.479479e-03 9.065064e-03 4.509146e-03
 [2021] 8.348679e-03 3.676259e-03 7.061192e-03 6.681234e-03 2.089225e-03
 [2026] 7.355392e-04 9.280196e-03 3.800194e-03 8.126014e-03 1.110066e-02
 [2031] 2.184228e-03 5.077099e-03 1.384426e-02 1.547388e-03 1.219972e-02
 [2036] 1.037016e-02 9.571920e-03 1.508187e-02 2.561293e-02 1.361537e-03
 [2041] 2.453838e-02 9.928480e-03 1.369002e-02 1.729514e-02 1.110156e-02
 [2046] 8.433847e-03 5.353164e-05 9.900933e-03 2.477727e-03 2.010353e-03
 [2051] 5.542797e-03 3.801957e-03 4.743982e-03 1.116572e-02 9.615840e-03
 [2056] 1.550599e-02 5.114616e-03 9.130468e-03 8.090021e-03 1.770862e-02
 [2061] 1.116435e-02 5.657929e-03 1.549268e-02 9.602426e-03 9.053821e-04
 [2066] 1.432144e-02 6.703684e-03 6.766216e-03 7.792986e-03 2.273363e-03
 [2071] 8.097983e-03 2.253773e-02 2.324425e-03 7.509168e-03 2.636995e-04
 [2076] 3.722277e-03 1.581497e-02 3.959809e-03 4.419724e-03 1.592636e-03
 [2081] 5.028038e-03 2.875495e-03 1.476636e-02 1.422549e-02 8.649581e-03
 [2086] 1.786915e-02 1.052584e-03 4.418926e-03 6.452090e-03 1.367925e-02
 [2091] 1.815713e-02 2.964141e-03 2.059460e-02 2.300535e-03 1.528608e-02
 [2096] 2.754689e-02 3.056118e-03 5.442683e-05 5.236564e-03 1.537015e-02
 [2101] 9.750851e-03 1.778379e-03 3.925475e-03 1.069449e-02 2.770094e-03
 [2106] 1.163485e-02 2.456325e-02 4.295518e-03 1.584778e-02 1.054627e-02
 [2111] 2.972419e-03 1.529420e-02 1.060757e-02 1.320375e-02 1.314460e-02
 [2116] 6.067791e-03 2.288318e-03 1.536275e-02 1.506334e-02 3.255233e-03
 [2121] 1.258880e-02 6.509242e-03 8.598607e-03 2.364266e-04 1.760748e-03
 [2126] 3.376977e-03 1.179766e-02 5.662249e-03 7.316993e-04 5.990828e-03
 [2131] 1.467547e-03 2.842648e-03 6.245414e-03 4.264181e-04 1.369502e-02
 [2136] 1.251827e-02 6.290497e-03 7.124588e-03 5.063928e-03 1.409645e-02
 [2141] 1.247964e-02 9.101269e-03 1.867711e-02 2.925800e-03 7.131343e-03
 [2146] 1.735081e-02 1.354365e-02 2.357379e-03 8.293017e-03 1.533477e-03
 [2151] 1.445937e-02 1.089795e-03 5.482242e-03 1.534651e-02 1.547018e-02
 [2156] 5.437916e-03 8.002450e-03 1.856978e-03 8.631936e-04 1.944286e-03
 [2161] 1.357125e-02 4.321035e-04 1.226849e-02 5.223292e-03 6.794301e-03
 [2166] 7.808359e-03 8.971015e-03 1.365845e-02 2.701563e-02 6.201645e-03
 [2171] 1.725740e-04 2.508509e-02 1.404024e-03 2.675908e-03 4.521888e-03
 [2176] 8.811686e-03 1.132013e-03 2.418709e-02 1.636640e-02 7.057095e-03
 [2181] 5.336941e-03 1.236466e-02 1.000905e-02 1.029381e-02 6.932925e-03
 [2186] 3.568032e-03 1.237594e-02 2.143529e-02 1.175099e-02 1.992846e-02
 [2191] 9.042943e-03 5.734553e-03 3.061744e-03 1.357640e-03 1.988713e-03
 [2196] 1.697543e-02 7.566487e-03 2.978321e-03 1.278772e-02 5.374673e-03
 [2201] 1.654996e-02 6.676013e-03 5.919636e-03 8.284356e-03 8.746199e-03
 [2206] 6.986563e-03 6.576952e-03 9.822495e-03 5.155342e-03 1.286176e-02
 [2211] 1.832097e-02 7.965479e-03 4.282762e-03 1.111631e-02 2.089622e-03
 [2216] 2.171948e-02 6.413579e-03 8.272229e-03 3.163786e-03 1.371640e-02
 [2221] 2.131130e-02 6.627407e-03 7.983820e-04 7.201807e-04 1.835782e-03
 [2226] 8.543024e-03 2.590264e-03 1.880541e-02 1.309014e-02 4.273354e-03
 [2231] 1.272252e-02 1.303615e-03 1.637489e-02 9.416067e-03 9.675187e-03
 [2236] 4.161196e-03 2.067747e-04 1.388649e-02 2.869230e-04 3.415152e-02
 [2241] 2.948051e-03 8.131312e-03 1.802348e-02 3.843321e-03 1.981893e-02
 [2246] 1.334643e-02 2.798316e-03 1.866903e-02 3.363842e-03 5.677993e-03
 [2251] 5.546636e-04 1.017695e-02 1.373406e-03 1.760339e-03 6.893537e-03
 [2256] 6.347048e-03 2.480478e-03 1.250219e-02 1.475649e-03 9.388254e-03
 [2261] 4.827950e-03 9.015236e-03 7.136103e-03 2.011172e-02 5.878778e-03
 [2266] 1.658471e-02 5.116707e-03 2.996937e-03 1.593701e-02 8.209951e-03
 [2271] 4.608654e-03 1.164633e-02 7.398340e-03 2.075951e-03 1.241300e-02
 [2276] 1.860877e-03 1.612546e-02 4.295987e-03 5.850968e-03 1.202696e-02
 [2281] 1.415494e-02 3.377254e-03 9.504878e-03 1.429838e-03 2.050698e-03
 [2286] 2.125937e-02 1.454929e-02 9.260426e-04 1.529463e-02 6.705837e-04
 [2291] 2.586456e-03 7.968532e-03 9.185984e-03 1.263027e-02 6.473181e-03
 [2296] 1.640372e-03 9.350645e-03 1.180995e-02 5.798104e-03 4.121267e-03
 [2301] 6.033161e-03 7.528749e-03 1.546736e-02 8.638143e-03 2.150641e-02
 [2306] 1.607812e-02 2.267939e-03 2.363169e-03 7.368252e-03 1.025041e-02
 [2311] 2.504485e-02 4.566494e-03 1.532925e-02 8.421344e-03 1.231295e-02
 [2316] 5.349118e-03 1.160093e-02 7.764929e-03 1.547049e-02 5.936931e-03
 [2321] 1.502125e-02 8.073983e-03 7.295455e-03 1.225456e-02 7.292631e-03
 [2326] 1.445268e-02 1.151641e-02 3.367041e-03 2.144468e-02 8.095317e-03
 [2331] 6.709418e-03 1.403002e-02 5.683486e-03 9.751749e-03 2.395669e-02
 [2336] 2.324838e-02 1.275746e-02 9.652511e-04 1.561177e-02 1.488626e-02
 [2341] 4.009423e-03 8.419763e-03 1.261925e-02 4.744049e-03 1.220153e-02
 [2346] 1.157234e-02 8.009590e-03 3.117371e-04 1.496057e-02 3.662844e-04
 [2351] 1.563002e-02 1.197514e-02 6.908644e-03 1.386269e-02 1.095755e-02
 [2356] 7.822205e-03 1.456927e-02 3.655531e-03 3.368622e-03 4.872716e-03
 [2361] 1.322426e-02 1.038716e-03 1.353725e-02 1.216275e-02 2.586405e-03
 [2366] 8.527626e-03 2.860869e-04 8.739527e-03 2.765780e-03 1.446702e-02
 [2371] 1.078057e-02 1.921306e-02 9.151573e-03 9.454987e-03 1.839754e-02
 [2376] 1.972388e-02 7.285756e-03 2.179928e-03 5.222622e-03 3.199005e-04
 [2381] 2.264785e-03 8.970462e-03 2.801558e-03 1.143431e-03 2.167484e-03
 [2386] 7.300258e-04 1.295104e-02 3.192161e-03 7.599973e-03 1.292766e-02
 [2391] 4.293548e-03 9.899352e-03 1.762820e-02 5.591368e-03 1.636413e-03
 [2396] 7.232219e-03 1.109380e-03 9.373552e-03 9.432998e-03 2.993196e-03
 [2401] 2.356452e-03 4.994722e-03 6.412598e-04 1.125198e-02 9.049205e-03
 [2406] 1.052673e-02 8.064434e-03 1.045260e-02 3.913835e-04 2.876436e-03
 [2411] 4.376056e-03 4.266617e-03 4.612599e-03 1.719155e-02 1.079938e-02
 [2416] 4.090844e-03 1.368102e-02 2.142768e-03 1.813966e-02 1.071774e-02
 [2421] 4.435224e-05 1.064568e-02 3.572020e-03 1.546464e-02 3.277850e-03
 [2426] 5.309613e-03 1.592427e-02 2.060152e-02 9.361253e-03 1.120413e-03
 [2431] 8.197378e-03 1.459250e-02 1.305516e-02 1.845218e-02 3.475082e-03
 [2436] 1.241835e-03 1.102757e-02 5.421306e-03 3.845094e-03 1.174755e-02
 [2441] 4.482556e-03 6.050014e-03 9.381797e-04 3.704834e-03 4.541519e-03
 [2446] 2.093721e-03 2.366980e-02 4.723164e-03 1.908178e-02 1.111030e-03
 [2451] 2.949885e-03 1.593686e-02 2.114982e-02 1.590750e-02 3.682654e-03
 [2456] 1.633005e-03 9.251672e-03 6.873042e-03 7.743482e-03 8.329264e-03
 [2461] 3.508829e-03 1.580701e-02 2.745252e-03 5.291534e-04 6.290343e-03
 [2466] 1.371946e-02 1.650424e-03 1.615517e-02 1.283033e-02 5.293684e-03
 [2471] 1.668585e-03 1.908602e-02 6.007657e-03 7.932740e-04 9.241924e-03
 [2476] 1.373328e-02 1.013441e-02 1.288720e-02 4.454767e-03 2.073866e-03
 [2481] 1.116608e-02 2.311803e-03 1.164086e-02 1.097459e-02 1.459123e-03
 [2486] 4.252672e-03 4.775488e-03 1.279402e-02 1.302213e-03 8.568362e-03
 [2491] 1.071215e-03 4.485024e-03 2.124633e-02 7.163075e-03 4.284282e-03
 [2496] 1.094098e-02 1.016125e-02 4.938391e-03 7.064618e-03 4.232645e-04
 [2501] 6.216185e-03 1.483352e-03 5.665651e-03 5.381090e-03 3.001630e-03
 [2506] 1.704790e-02 7.769727e-03 1.224763e-03 3.591682e-03 8.944165e-04
 [2511] 7.915437e-03 8.285484e-03 5.961918e-03 1.486665e-02 6.388502e-03
 [2516] 3.226899e-03 2.687551e-03 9.314738e-03 1.753102e-02 4.464770e-03
 [2521] 2.120960e-03 9.140606e-03 1.109750e-02 5.813807e-04 1.353324e-03
 [2526] 2.182245e-03 1.165985e-02 1.045505e-02 1.473279e-02 2.598453e-03
 [2531] 1.345091e-02 1.495078e-02 7.061304e-04 3.214624e-03 3.154775e-03
 [2536] 6.038623e-03 7.281782e-03 1.577535e-02 6.887219e-03 9.432349e-04
 [2541] 2.163684e-03 7.358845e-03 2.822774e-03 4.984050e-04 4.655984e-05
 [2546] 2.460948e-03 5.741950e-03 2.601526e-03 2.822859e-03 3.517633e-03
 [2551] 3.666691e-03 6.142900e-03 2.098629e-02 2.972312e-03 4.206778e-03
 [2556] 8.204799e-03 3.149888e-03 6.077494e-03 5.748991e-03 3.935077e-03
 [2561] 1.670841e-02 7.244336e-03 1.907996e-03 1.909259e-02 5.813669e-04
 [2566] 4.540053e-03 1.198277e-03 1.046142e-02 1.117337e-02 4.396566e-03
 [2571] 2.613543e-03 6.051634e-03 8.143161e-03 1.482127e-02 4.797806e-03
 [2576] 1.226530e-02 6.410916e-04 1.008435e-03 1.334754e-02 1.310099e-02
 [2581] 1.306697e-03 1.962150e-03 2.162504e-02 1.072436e-03 2.529551e-03
 [2586] 3.817272e-03 8.495988e-03 5.550113e-03 6.618510e-03 3.108298e-03
 [2591] 3.065801e-03 9.869507e-04 3.050573e-03 1.697508e-02 1.348012e-02
 [2596] 5.255412e-03 2.323843e-02 6.063808e-04 4.192433e-03 2.836233e-03
 [2601] 1.028182e-02 1.571101e-02 1.884829e-02 5.396352e-03 1.670503e-02
 [2606] 1.146176e-02 5.710097e-03 1.702297e-02 6.087586e-03 1.120413e-02
 [2611] 5.940524e-03 1.538315e-02 4.970329e-03 1.466978e-03 5.653072e-03
 [2616] 6.823726e-03 5.436993e-03 3.863267e-03 6.862598e-03 2.315500e-03
 [2621] 3.987139e-03 1.720308e-03 4.379686e-04 1.230214e-02 2.526716e-03
 [2626] 1.576896e-02 1.438748e-02 6.013732e-03 1.059993e-02 8.766887e-03
 [2631] 7.497661e-03 2.082581e-02 1.261820e-02 1.631926e-03 4.951041e-03
 [2636] 1.786695e-03 7.806343e-03 2.866998e-03 1.340046e-02 6.284229e-03
 [2641] 1.271073e-02 3.030533e-03 3.268997e-03 1.821307e-02 2.172802e-03
 [2646] 3.274210e-03 2.217443e-02 2.262890e-03 3.019376e-03 1.876923e-03
 [2651] 1.103117e-02 1.445208e-04 4.534737e-03 1.029477e-02 6.273712e-03
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 [9986] 1.294019e-02 2.692545e-03 7.323368e-03 4.578742e-03 5.900503e-04
 [9991] 3.235725e-03 1.514181e-02 6.255318e-03 5.648119e-03 1.404659e-02
 [9996] 9.303810e-03 9.107345e-03 2.008989e-02 9.207495e-03 3.954137e-03

0.1 f. The ratio difference determines that the it would be safe to assume that the values are independent

  1. Two college students collected data on the price of hardcover textbooks from two disciplinary areas: Mathematics and the Natural Sciences, and the Social Sciences (Hien and Baker (2010)). The data are in the file BookPrices.

    1. Perform some exploratory data analysis on book prices for each of the two disciplinary areas.

    2. Bootstrap the mean of the book price for each area separately and describe the distributions.

    3. Bootstrap the ratio of means. Provide plots of the bootstrap distribution and comment.

    4. Find the 95% bootstrap percentile interval for the ratio of means. Interpret this interval.

    5. What is the bootstrap estimate of the bias? What fraction of the bootstrap standard error does it represent?

BookPrices <- read.csv("http://www1.appstate.edu/~arnholta/Data/BookPrices.csv")
math <- BookPrices %>% 
  filter(Area == "Math & Science")
social <- BookPrices %>% 
  filter(Area == "Social Sciences")

Your answers:

# Your code here
oMean <- mean(math$Price)
oMean
[1] 156.7341
oSD <- sd(math$Price)
oSD
[1] 39.14483
oSMean <- mean(social$Price)
oSMean
[1] 98.99
oSSD <- sd(math$Price)
oSSD
[1] 39.14483
oRatio <- oMean / oSSD
# Your code here
N <- 10^4
mathBook <- numeric(N)
socialBook <- numeric(N)
for(i in 1: N)
{
  mathBook[i] <- mean(sample(math$Price, length(math$Price), replace = TRUE))
  socialBook[i] <- mean(sample(social$Price, length(social$Price), replace = TRUE))
}

hist(mathBook)

hist(socialBook)

Both have normal distrubitions with an even spread. Math has an sd of 7.423456 and Social Science has an sd of 17.08938. c.

# Your code here
ratio <- mathBook / socialBook
hist(ratio)

The ratio is even and unimodal with a mean at 1.562375 and has an sd of 0.3431524.

# Your code here
confidence <- quantile(ratio, c(.05, .95))

I am 95% certain that the ratio of means of the price of the two textbooks in their respective fields is between 1.212435 and 2.2457324.

# Your code here
mean(ratio) - oRatio 
[1] -2.369216
abs((mean(ratio) - oRatio) / (sd(ratio)*100)) 
[1] 0.07331349