library(MASS)Playing with PageRank
From matrix A
According to the graph we used previously in the course note.
# matrix A is
A1 = matrix(c(0,1/2,1/2,0,0,0,
0,0,0,0,0,0,
1/3,1/3,0,0,1/3,0,
0,0,0,0,1/2,1/2,
0,0,0,1/2,0,1/2,
0,0,0,1,0,0), byrow = T, nrow = 6)
fractions(A1)## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0 1/2 1/2 0 0 0
## [2,] 0 0 0 0 0 0
## [3,] 1/3 1/3 0 0 1/3 0
## [4,] 0 0 0 0 1/2 1/2
## [5,] 0 0 0 1/2 0 1/2
## [6,] 0 0 0 1 0 0Since page2 has not outgoing link(all zeros), the rule of row-stochastic is not going to be applied properly, I am going to substitute zeros from page2 to \(\frac{1}{6}\) which means that users will have equal chance to travel around these links.
# adjusted A
A = matrix(c(0,1/2,1/2,0,0,0,
1/6,1/6,1/6,1/6,1/6,1/6,
1/3,1/3,0,0,1/3,0,
0,0,0,0,1/2,1/2,
0,0,0,1/2,0,1/2,
0,0,0,1,0,0), byrow = T, nrow = 6)
fractions(A)## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0 1/2 1/2 0 0 0
## [2,] 1/6 1/6 1/6 1/6 1/6 1/6
## [3,] 1/3 1/3 0 0 1/3 0
## [4,] 0 0 0 0 1/2 1/2
## [5,] 0 0 0 1/2 0 1/2
## [6,] 0 0 0 1 0 0Form a decay matrix
\[B = d \times A + \frac{1-d}{n}\], where d is the decay, n is the number of nodes(number of url here)
# B
B = 0.85 * A + 0.15/6
fractions(B)## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 1/40 9/20 9/20 1/40 1/40 1/40
## [2,] 1/6 1/6 1/6 1/6 1/6 1/6
## [3,] 37/120 37/120 1/40 1/40 37/120 1/40
## [4,] 1/40 1/40 1/40 1/40 9/20 9/20
## [5,] 1/40 1/40 1/40 9/20 1/40 9/20
## [6,] 1/40 1/40 1/40 7/8 1/40 1/40uniform ranking vector
Then, initially, all URLs are considered to have the same page rank, so r will be \(\frac{1}{n}\) for each URL(uniform rank)
# r
r = rep(1/6, 6)
fractions(r)## [1] 1/6 1/6 1/6 1/6 1/6 1/6Power iteration
\[r = B^n \times r\], where n is the number of iterations
# compute the power of matrix
library(expm) # 10 iterations
t(B) %^% 10 %*% r## [,1]
## [1,] 0.05205661
## [2,] 0.07428990
## [3,] 0.05782138
## [4,] 0.34797267
## [5,] 0.19975859
## [6,] 0.26810085# 20 iterations
t(B) %^% 20 %*% r## [,1]
## [1,] 0.05170616
## [2,] 0.07368173
## [3,] 0.05741406
## [4,] 0.34870083
## [5,] 0.19990313
## [6,] 0.26859408# 30 iterations
t(B) %^% 30 %*% r## [,1]
## [1,] 0.05170475
## [2,] 0.07367927
## [3,] 0.05741242
## [4,] 0.34870367
## [5,] 0.19990381
## [6,] 0.26859607# 40 iterations
t(B) %^% 40 %*% r## [,1]
## [1,] 0.05170475
## [2,] 0.07367926
## [3,] 0.05741241
## [4,] 0.34870369
## [5,] 0.19990381
## [6,] 0.26859608# 50 iterations
t(B) %^% 50 %*% r## [,1]
## [1,] 0.05170475
## [2,] 0.07367926
## [3,] 0.05741241
## [4,] 0.34870369
## [5,] 0.19990381
## [6,] 0.26859608As I see from these iterations above, around 40 iterations, matrix B converges. The ranking is 6,4,5,1,3,2.
Eigen-decomposition of B
the largest eigen value will be 1
# eigen value
eigen(B)$value## [1] 1.00000000+0i 0.57619235+0i -0.42500000+0i -0.42500000-0i -0.34991524+0i
## [6] -0.08461044+0i# the first vector will be the one corresponding to the largest eigen value
eig.vec = as.numeric(eigen(B)$vector[,1])
eig.vec## [1] -0.4082483 -0.4082483 -0.4082483 -0.4082483 -0.4082483 -0.4082483# normalize the eigenvector
(1/sum(eig.vec))*eig.vec## [1] 0.1666667 0.1666667 0.1666667 0.1666667 0.1666667 0.1666667Which is the same as the uniform ranking vector. And sum of them is 1.
Compute Page Rank of graph A
library(igraph)##
## Attaching package: 'igraph'## The following objects are masked from 'package:stats':
##
## decompose, spectrum## The following object is masked from 'package:base':
##
## uniongraph.A = graph_from_adjacency_matrix(A1, weighted = T)
plot(graph.A)
# compute page rank using function
page.rank(graph.A)## $vector
## [1] 0.05170475 0.07367926 0.05741241 0.34870369 0.19990381 0.26859608
##
## $value
## [1] 1
##
## $options
## NULLthe function returns the same result as I calculated.
Kaggle: Digit recognizer
read file
# read files
train <-read.csv('train.csv')
# data with no label
train_data <- train[,-1]
# check the dimension of these two files
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## 5 253 253 140 0 0 0 0 0
## 6 254 214 7 0 0 0 50 242
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## 1 0 0 0 0 0 0 0 0
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## 3 0 0 0 0 0 0 0 0
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## 6 254 194 24 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
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## 1 0 0 0 15 220 253 253 80
## 2 0 0 0 86 243 254 254 254
## 3 0 0 0 0 0 0 0 0
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## 6 0 0 0 5 193 254 78 0
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## 1 0 0 0 0 0 0 0 0
## 2 254 254 233 243 254 254 254 254
## 3 185 255 255 184 0 0 0 0
## 4 0 0 0 0 0 0 0 18
## 5 106 106 106 200 237 253 253 253
## 6 0 19 128 254 195 36 0 0
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## 1 0 0 0 0 0 0 0 0
## 2 254 86 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0
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## 5 253 209 22 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 94
## 2 0 0 0 0 0 0 0 0
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## 5 0 0 0 0 0 0 82 253
## 6 0 0 0 0 0 0 0 0
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## 1 253 253 253 94 0 0 0 0
## 2 114 254 254 254 254 254 254 254
## 3 0 0 0 0 185 254 254 184
## 4 0 0 0 0 0 0 0 0
## 5 253 253 253 253 253 253 253 253
## 6 103 254 222 74 143 235 254 228
## pixel604 pixel605 pixel606 pixel607 pixel608 pixel609 pixel610 pixel611
## 1 0 0 0 0 0 0 0 0
## 2 254 254 254 239 86 11 0 0
## 3 0 0 0 0 0 0 0 0
## 4 0 0 0 18 254 73 0 0
## 5 253 253 253 253 209 22 0 0
## 6 83 0 0 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
## 2 0 0 0 0 0 0 0 0
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## 6 0 0 0 0 0 0 0 0
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## 1 0 0 0 89 251 253 250 131
## 2 0 0 0 0 13 182 254 254
## 3 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0
## 5 0 0 1 91 253 253 253 253
## 6 0 0 0 0 30 242 254 254
## pixel628 pixel629 pixel630 pixel631 pixel632 pixel633 pixel634 pixel635
## 1 0 0 0 0 0 0 0 0
## 2 254 254 254 254 254 254 243 70
## 3 185 254 254 184 0 0 0 0
## 4 0 0 0 0 0 0 0 5
## 5 253 253 253 253 253 253 213 90
## 6 254 254 252 84 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
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## 6 0 0 0 0 0 0 0 0
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## 1 214 218 95 0 0 0 0 0
## 2 0 8 76 146 254 255 254 255
## 3 0 0 0 0 63 254 254 62
## 4 0 0 0 0 0 0 0 0
## 5 18 129 208 253 253 253 253 159
## 6 0 23 64 158 200 174 61 0
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## 1 0 0 0 0 0 0 0 0
## 2 146 19 15 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0
## 4 0 0 0 0 186 159 0 0
## 5 129 90 4 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
## 2 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
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## 5 0 0 0 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
## 2 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0
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## 5 0 0 0 0 0 0 0 0
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## 2 0 0 0 0 0 0 0 0
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## 1 0 0 0 0 0 0 0 0
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## 6 0 0 0 0function in used
library(EBImage)
library(OpenImageR)
library(jpeg)
library(tidyverse)
library(dplyr)
# m = matrix, i = image pixel
extract_img <- function(m, i){
temp = matrix(as.integer(m[i,]), byrow = T, nrow = 28)
return(temp)
}
# make proper dim: m = matrix, w = image width, h = image height
make_dim <- function(m, w, h){
im <- array(0, dim = c(nrow(m), w, h))
for (i in seq(nrow(m))) {
img <- extract_img(m, i)
im[i,,] <- array(img, dim = c(1, w, h))
}
return(im)
}
# plot raster images: im = image matrix with proper dim, w = image width, h = image height, n = plot number of images
plot_raster <- function(im,w,h,n){
par(mfrow = c(5,5)) # image display in 5 x 5
par(mai = c(.1,.1,.1,.1)) # inner margin
for( i in seq(n)){
# read as jpg
jpg = readJPEG(writeJPEG(im[i,,]),native = T)
# create plot area
plot(1,1,xlim = c(1,w), ylim = c(1, h),xlab = '',ylab = '')
# display raster image with width and height
rasterImage(jpg,1,1,w,h)
}
}
#calculate the mean pixel of each numbers
# data = dataset, num = number
cal.mean.pixel <- function(data, num){
# get rows only contains desired number
desired_number <- data %>%
filter(label == num)
return(colSums(desired_number)/nrow(desired_number))
}plot data image
# get image with (42000 * 28 * 28)
images <- make_dim(train_data, 28, 28)
# double check image dim
dim(images)## [1] 42000 28 28# plot first 10 images
plot_raster(images, 28, 28, 10)
scale data
# divide all pixels by 255 to produce values between 0 and 1
train_data <- train_data/255frequency distribution
from the plot, number1 has the most, number5 has the least.
library(ggplot2)
train.label <- train[,1]
train.freq <- as.data.frame(table(train.label))
ggplot(train.freq, aes(x = train.label, y = Freq)) +
geom_bar(stat = 'identity') +
labs(x = 'hand write numbers',
y = 'count',
title = 'frequency distribution of numbers')
mean pixel intensity
numbers <- data.frame()
for (i in 0:9){
numbers <- numbers %>% rbind(cal.mean.pixel(train, i))
}
names(numbers) <- c("label", 1:784)
# display
print(numbers)## label 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
## 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0.002394063 0.05171175 0.05171175
## 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 7 6 0 0 0 0 0 0 0 0 0 0 0 0 0.028039642 0.06139715 0.00000000
## 8 7 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 9 8 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 10 9 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000 0.00000000 0.00000000
## 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
## 1 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 2 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 3 0.002154656 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 4 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 5 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 6 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 7 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003867537
## 8 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 9 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 10 0.000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000
## 34 35 36 37 38 39 40
## 1 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 2 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 3 0.00000000 0.0000000 0.0038305 0.06679435 0.07900407 0.08283457 0.06583672
## 4 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 5 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 6 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 7 0.01329466 0.1070824 0.2729031 0.44935944 0.59439207 1.23181049 1.70123278
## 8 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 9 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 10 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000
## 41 42 43 44 45 46 47
## 1 0.00000000 0.0000000 0.00000000 0.02178122 0.059535334 0.02831559 0.00000000
## 2 0.00000000 0.0000000 0.04483348 0.05401366 0.008112724 0.00000000 0.00000000
## 3 0.06009097 0.1343069 0.26119224 0.17333014 0.246827867 0.15872636 0.01723725
## 4 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 5 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 6 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 7 1.88155668 1.7993715 1.67585207 1.48175006 1.351945854 1.35170413 1.05172831
## 8 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 9 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 10 0.00000000 0.0000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 48 49 50 51 52 53 54 55 56 57 58
## 1 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 2 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 3 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 4 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 5 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 6 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 7 0.6171139 0.457578 0.1563935 0.1068407 0.05124486 0 0 0 0 0 0
## 8 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 9 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 10 0.0000000 0.000000 0.0000000 0.0000000 0.00000000 0 0 0 0 0 0
## 59 60 61 62 63 64
## 1 0.00000000 0.007018393 0.002420136 0.00000000 0.02057115 0.04840271
## 2 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 3 0.00000000 0.000000000 0.000000000 0.04141729 0.17476658 0.30620062
## 4 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 5 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 6 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 7 0.01547015 0.000000000 0.072032874 0.04979454 0.42349529 1.17621465
## 8 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 9 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 10 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 65 66 67 68 69 70
## 1 0.0106486 0.000000 0.00000000 0.00000000 0.01234269 0.04646660
## 2 0.0000000 0.000000 0.01836038 0.08198121 0.13044406 0.18296328
## 3 0.6088102 1.101987 1.75269332 2.44170457 3.34474503 3.93919081
## 4 0.0000000 0.000000 0.02620087 0.07055849 0.08411859 0.03010802
## 5 0.0000000 0.000000 0.00000000 0.00000000 0.03659136 0.08472495
## 6 0.0000000 0.000000 0.00000000 0.00000000 0.00000000 0.00000000
## 7 2.3782934 4.305294 7.00821852 11.03480783 16.45443558 23.05100314
## 8 0.0000000 0.000000 0.00000000 0.00000000 0.00000000 0.00000000
## 9 0.0000000 0.000000 0.00000000 0.00000000 0.00000000 0.00000000
## 10 0.0000000 0.000000 0.00000000 0.00000000 0.00000000 0.00000000
## 71 72 73 74 75 76
## 1 0.000000000 0.00000000 0.01089061 4.840271e-04 0.000000000 0.000000000
## 2 0.314688301 0.30785653 0.11101623 3.629377e-03 0.024978651 0.054013664
## 3 4.463490543 4.28058415 3.18290639 2.054824e+00 1.001915250 0.371558535
## 4 0.040910136 0.07032866 0.10572282 1.020455e-01 0.056308895 0.017467249
## 5 0.125982318 0.07588409 0.03953831 4.371316e-02 0.007612967 0.049607073
## 6 0.009486166 0.07483531 0.17259552 1.986825e-01 0.232674572 0.281949934
## 7 29.378776891 33.70775925 34.31157844 3.140875e+01 25.881073241 19.464829587
## 8 0.000000000 0.00000000 0.00000000 0.000000e+00 0.000000000 0.000000000
## 9 0.000000000 0.00000000 0.00000000 1.525966e-02 0.053654935 0.002707359
## 10 0.000000000 0.00000000 0.00000000 0.000000e+00 0.000000000 0.000000000
## 77 78 79 80 81 82 83 84 85
## 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0 0
## 2 0.01280956 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0 0
## 3 0.10270529 0.02082835 0.00000000 0.05578166 0.08331338 0.03950203 0 0 0
## 4 0.00206849 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0 0
## 5 0.03339882 0.04297642 0.04592338 0.00000000 0.00000000 0.00000000 0 0 0
## 6 0.15441370 0.06403162 0.04084321 0.00000000 0.00000000 0.00000000 0 0 0
## 7 11.84578197 5.98138748 2.90041093 0.94343727 0.27072758 0.04544356 0 0 0
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0 0
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0 0
## 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0 0
## 86 87 88 89 90 91 92
## 1 0 0.000000000 0.020329138 0.030009681 0.06122943 0.06122943 0.074540174
## 2 0 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.006191289
## 3 0 0.002633469 0.003591094 0.010773282 0.32918362 1.10102945 2.615034714
## 4 0 0.000000000 0.000000000 0.001838658 0.20409101 0.28315330 0.476442197
## 5 0 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.001719057
## 6 0 0.000000000 0.001054018 0.051910408 0.04505929 0.06719368 0.066666667
## 7 0 0.034082669 0.017403916 0.076142132 0.26178390 0.86197728 2.204012569
## 8 0 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
## 9 0 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
## 10 0 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000
## 93 94 95 96 97 98
## 1 0.106727977 0.25072604 0.59874153 1.4917715 2.1747338 2.9765247
## 2 0.003202391 0.04376601 0.08774552 0.2591802 0.4916738 1.2431682
## 3 5.964567872 11.59731865 17.85827149 25.8427101 33.0696672 39.6013886
## 4 0.918179729 1.56033096 2.69639163 4.3670421 5.8080901 6.4143875
## 5 0.026277014 0.14390963 0.33079568 0.3801572 0.3528978 0.3158153
## 6 0.005797101 0.07220026 0.35862978 0.5523057 0.7897233 1.1470356
## 7 4.980662316 9.40367416 15.96059947 24.5216340 35.1624365 49.0908871
## 8 0.000000000 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000
## 9 0.000000000 0.01599803 0.07974403 0.1400443 0.2360325 0.4622200
## 10 0.000000000 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000
## 99 100 101 102 103 104 105
## 1 3.9530494 4.8279284 5.2141820 4.1747338 3.0779284 2.4997580 1.7754114
## 2 1.6929974 1.7228864 1.3531170 1.2350555 0.9970111 0.7047395 0.2820239
## 3 41.9650467 41.4900646 36.2652621 27.7584391 18.6516639 11.1958343 5.5614077
## 4 6.5217191 5.9494369 5.0351643 4.1484716 2.9685130 1.8710641 1.1385888
## 5 0.3892436 0.6070727 0.8155697 0.6949902 0.8423379 1.3794204 1.4570236
## 6 2.0284585 2.7649539 3.0616601 2.9480896 2.9272727 2.8653491 2.4503294
## 7 64.5607928 77.1841914 79.7292724 75.4856176 64.0070099 47.1568770 29.0729998
## 8 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 9 0.6266306 0.8670933 0.7391090 0.6807778 0.7046517 0.4024120 0.3773074
## 10 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 106 107 108 109 110 111 112 113
## 1 0.9225557 0.47120039 0.20256534 0.08107454 0.01766699 0.00000000 0 0
## 2 0.2542699 0.13236550 0.01259607 0.00000000 0.00000000 0.00000000 0 0
## 3 2.2092411 0.74144123 0.15226239 0.06894901 0.03926263 0.00000000 0 0
## 4 0.3923236 0.07262698 0.00000000 0.00000000 0.00000000 0.00000000 0 0
## 5 1.3337426 0.66085462 0.26350688 0.08791749 0.00000000 0.00000000 0 0
## 6 2.2550725 1.51146245 0.62055336 0.24690382 0.03847167 0.00000000 0 0
## 7 15.4696640 7.42736282 2.99226493 1.19071791 0.13826444 0.02924825 0 0
## 8 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0
## 9 0.3438346 0.17868570 0.12158504 0.05193207 0.01033719 0.00000000 0 0
## 10 0.0000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0 0
## 114 115 116 117 118 119
## 1 0.000000000 0.00000000 0.052274927 0.055663117 0.10963214 0.231606970
## 2 0.000000000 0.00000000 0.000000000 0.006831768 0.01067464 0.033091375
## 3 0.000000000 0.01532200 0.024180034 0.159683984 1.37012210 4.518793392
## 4 0.008733624 0.01172144 0.019076074 0.302229373 1.42587911 3.347736153
## 5 0.000000000 0.00000000 0.027996071 0.162328094 0.30525540 0.377946955
## 6 0.000000000 0.00000000 0.001844532 0.027140975 0.11884058 0.342555995
## 7 0.000000000 0.00000000 0.012811216 0.122552574 0.48803481 1.389412618
## 8 0.000000000 0.00000000 0.022949330 0.043626449 0.03044763 0.005907748
## 9 0.000000000 0.00000000 0.000000000 0.000000000 0.01181393 0.003937977
## 10 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.019102197
## 120 121 122 123 124 125
## 1 0.39424008 1.1887706 3.466844143 7.09123911 14.7790416 26.6384318
## 2 0.05849701 0.2322801 0.695132365 2.13172502 5.6925705 13.9120410
## 3 11.14843189 22.1683026 37.108451041 55.23725162 75.2796265 95.0021547
## 4 7.62675247 14.6276718 24.320845783 36.45299931 49.3596874 59.3392324
## 5 0.75834971 1.6770629 2.097740668 2.67853635 3.7632613 4.0392927
## 6 0.77206851 1.4147563 3.295388669 6.84163373 10.8094862 14.8200264
## 7 3.55039884 7.6550641 14.483683829 24.25404883 36.4198695 52.8578680
## 8 0.01363327 0.0463531 0.057941377 0.03226539 0.1011134 0.1592820
## 9 0.10607925 0.4009353 1.179177947 3.26679793 7.0204283 13.1993601
## 10 0.06088825 0.0222063 0.003820439 0.07999045 0.2316141 0.4560649
## 126 127 128 129 130 131
## 1 41.4266699 54.7422556 64.73160697 66.65295257 6.105712e+01 49.5968054
## 2 26.7717763 39.0979932 45.50362938 43.44854825 4.138664e+01 34.7988898
## 3 110.7519751 119.3971750 119.20876227 108.77160642 8.736366e+01 62.5843907
## 4 65.1758217 65.1919099 60.72328200 50.53229143 3.822202e+01 26.1889221
## 5 3.4631631 3.2325639 3.90299607 5.93050098 6.976424e+00 8.9724951
## 6 18.1370224 22.7172596 26.78208169 29.17048748 2.889223e+01 27.1346509
## 7 72.6379019 91.5612763 104.25332366 106.17597293 9.558351e+01 77.3067440
## 8 0.1397410 0.1224722 0.07452852 0.02067712 4.544422e-04 0.0000000
## 9 21.2695053 29.7474772 34.84518828 34.90327344 3.052350e+01 23.9177947
## 10 0.5577841 0.6487584 0.57163324 0.39422159 2.318529e-01 0.1712034
## 132 133 134 135 136 137
## 1 36.76210068 21.85551791 10.655130687 4.17424976 1.06001936 0.20498548
## 2 26.98932536 18.08603757 9.904995730 4.36464560 1.29590094 0.33005978
## 3 41.63610247 22.89920996 10.025616471 3.14029208 0.48934642 0.06511851
## 4 16.09974718 7.75247070 3.096759366 0.98758906 0.07101816 0.00000000
## 5 11.84184676 12.72224951 10.455550098 7.15692534 3.64734774 1.31556974
## 6 24.74519104 22.47325428 19.945454545 15.52700922 10.65638999 4.90698287
## 7 54.86995407 32.82402707 17.815566836 8.51196519 3.68044477 1.55039884
## 8 0.00000000 0.00000000 0.057714156 0.01136105 0.00000000 0.00000000
## 9 17.36106325 11.55574698 6.654196407 3.12453852 1.19936008 0.53408811
## 10 0.06088825 0.06064947 0.003342884 0.00000000 0.00000000 0.00000000
## 138 139 140 141 142 143 144 145
## 1 0.005082285 0.000000000 0 0 0 0.0000000000 0.06485963 0.02686350
## 2 0.000000000 0.000000000 0 0 0 0.0162254483 0.02903501 0.01323655
## 3 0.039262629 0.000000000 0 0 0 0.0280105339 0.04859947 0.62125928
## 4 0.000000000 0.000000000 0 0 0 0.0039071478 0.21351413 2.26108940
## 5 0.155697446 0.000000000 0 0 0 0.0002455796 0.06802554 0.71193517
## 6 1.408168643 0.265349144 0 0 0 0.0000000000 0.01449275 0.01765481
## 7 0.374425912 0.004109258 0 0 0 0.0447183950 0.00000000 0.23978729
## 8 0.000000000 0.000000000 0 0 0 0.0000000000 0.03362872 0.15314701
## 9 0.197883337 0.114693576 0 0 0 0.0000000000 0.00000000 0.01206005
## 10 0.000000000 0.000000000 0 0 0 0.0000000000 0.00000000 0.00000000
## 146 147 148 149 150 151
## 1 0.12705712 0.52807357 1.56606970 4.46829622 11.8615682 24.940949
## 2 0.09564475 0.20431255 0.25491033 0.41161401 1.1771990 3.942357
## 3 3.78836486 11.81374192 24.99449366 43.74287766 67.2178597 93.270290
## 4 7.08319926 15.09606987 27.78579637 46.74120892 71.9528844 99.202942
## 5 1.66502947 3.21881139 5.12917485 8.33791749 12.7500000 16.738458
## 6 0.24295125 1.31989460 3.57444005 8.11831357 15.6803689 26.383663
## 7 0.67754411 1.85061639 4.86101039 10.65844815 20.0041093 32.410201
## 8 0.37900477 0.69711429 1.11633720 1.76573506 2.2026812 2.058396
## 9 0.15284273 0.56534580 1.86364755 4.80703913 11.2357864 22.699729
## 10 0.00000000 0.02817574 0.06876791 0.08333333 0.4169054 1.652340
## 152 153 154 155 156 157 158
## 1 45.950629 71.985479 101.754598 127.94700 144.852614 149.390126 138.532914
## 2 10.640265 27.282024 52.730999 77.10205 89.730786 88.508113 80.554868
## 3 118.905913 140.644960 156.783577 165.86234 166.375868 157.154896 137.888197
## 4 124.580097 144.686509 158.272351 160.58745 153.395771 135.622156 108.286141
## 5 18.980845 18.447200 15.920432 14.73649 16.561149 23.053782 29.762525
## 6 39.098024 51.762319 63.406061 73.03241 79.288538 82.440580 83.649802
## 7 48.674160 71.077834 93.473532 110.36282 117.088953 109.469181 89.854000
## 8 2.594638 2.978868 2.743013 2.65008 2.569189 2.274483 1.614633
## 9 42.000492 68.164903 97.073345 120.54664 135.986955 139.118385 129.125031
## 10 4.236628 7.039876 9.751433 11.44293 11.685530 10.428128 8.058500
## 159 160 161 162 163 164
## 1 116.2136980 87.7979187 57.4298161 31.1957890 13.22579864 3.24128751
## 2 66.5920154 49.9515371 33.1842442 17.8065756 7.58432963 2.49423570
## 3 106.4907829 73.9925784 45.8015322 22.5084989 8.31721331 1.54512808
## 4 78.1013560 51.1422661 29.2983222 12.9965525 3.85957251 0.72879798
## 5 37.0208743 39.6065815 38.3015717 32.1642927 23.88212181 15.35584479
## 6 80.6358366 74.7623188 67.1696970 57.8113307 46.62608696 32.86640316
## 7 65.4991540 42.8788978 24.1665458 12.7094513 6.09668842 2.90959633
## 8 0.9831856 0.4353556 0.1565553 0.1324699 0.07066576 0.00000000
## 9 105.9054886 78.2798425 52.4349003 32.3074083 17.46665026 8.28870293
## 10 5.4696753 3.4641834 1.9804202 0.8476600 0.28175740 0.01432665
## 165 166 167 168 169 170 171
## 1 0.51694095 0.07865440 0.000000000 0.000000000 0 0.0000000000 0.000000000
## 2 0.57685739 0.00234842 0.000000000 0.000000000 0 0.0000000000 0.004056362
## 3 0.06176682 0.02011013 0.000000000 0.000000000 0 0.0000000000 0.019391908
## 4 0.03953114 0.00000000 0.000000000 0.000000000 0 0.0009193289 0.091013560
## 5 6.55722004 1.33570727 0.137278978 0.000000000 0 0.0000000000 0.003192534
## 6 18.18735178 5.51963109 0.973913043 0.004743083 0 0.0000000000 0.000000000
## 7 1.38627024 0.33526710 0.001450326 0.000000000 0 0.0000000000 0.016195311
## 8 0.00000000 0.00000000 0.000000000 0.000000000 0 0.0000000000 0.089525108
## 9 3.77332021 1.26212159 0.254245631 0.000000000 0 0.0000000000 0.000000000
## 10 0.00000000 0.00000000 0.000000000 0.000000000 0 0.0000000000 0.000000000
## 172 173 174 175 176 177
## 1 0.000000000 0.119312682 0.74951597 1.6009197 4.5196031 12.6442401
## 2 0.056575576 0.048035867 0.08368915 0.2213920 0.3676345 0.5339453
## 3 0.186976299 1.658367249 7.34857553 19.9815657 38.8168542 61.7088820
## 4 1.563318777 6.299241554 15.24592048 29.7552287 51.5966444 80.3072857
## 5 0.196709234 1.516453831 3.35117878 6.8072200 12.3219548 19.9592338
## 6 0.000000000 0.158893281 0.98498024 3.5043478 8.6922266 18.1333333
## 7 0.003142374 0.206188059 0.77326565 2.6001934 6.7440174 14.2978003
## 8 0.211315610 1.154964781 2.97500568 5.8077710 9.5546467 14.0761191
## 9 0.000000000 0.171301994 0.73172533 2.6190007 7.3214374 17.3925671
## 10 0.000000000 0.006685769 0.02125119 0.2053486 0.6184336 2.2865330
## 178 179 180 181 182 183 184
## 1 29.235963 54.120765 86.96104 121.35068 152.29526 174.59584 187.90029
## 2 1.179974 4.010461 12.32323 32.37041 64.16354 95.84821 113.34885
## 3 87.568590 111.875509 131.81039 146.27077 155.89299 160.50323 163.31745
## 4 110.644450 138.056769 158.54103 173.30981 183.50448 189.61135 189.08940
## 5 30.845776 39.040521 42.46562 40.22667 34.96488 28.78684 28.47446
## 6 33.790250 53.754677 75.78524 95.79552 112.19262 123.81607 128.73333
## 7 26.994924 43.237370 65.00073 90.16896 110.14987 120.02635 115.01112
## 8 18.535560 23.177460 26.35696 28.46467 29.71597 30.09271 29.89730
## 9 35.024120 61.724342 97.11814 133.14324 162.28403 180.27394 188.08196
## 10 6.732569 15.110315 30.26027 51.35960 77.18171 98.62369 109.19054
## 185 186 187 188 189 190 191
## 1 190.81728 185.31534 168.54526 136.92909 99.574782 60.528316 29.289690
## 2 112.05401 98.24466 79.03907 55.62319 34.126601 16.691930 6.728224
## 3 162.55423 152.39406 129.22025 97.39430 64.900646 35.794111 14.419919
## 4 179.10894 154.86141 121.95426 85.32108 53.223397 27.314870 9.099747
## 5 37.95506 53.06876 66.16822 69.24239 62.525786 51.016945 37.704568
## 6 128.76996 127.66166 123.21107 113.54071 102.424506 88.885639 74.364954
## 7 94.40561 66.97075 43.07518 24.18564 13.190234 6.996374 3.457578
## 8 28.65258 25.43604 20.36174 15.16610 9.825949 6.102704 2.836628
## 9 186.24563 175.72040 153.86340 123.49003 90.092542 58.813438 35.366724
## 10 103.00979 83.43744 59.14733 35.21991 18.102436 7.574737 2.534623
## 192 193 194 195 196 197 198
## 1 9.5014521 1.31485963 0.16118103 0.01984511 0.01766699 0 0.00000000
## 2 2.0100342 0.47139197 0.00000000 0.00000000 0.00000000 0 0.00000000
## 3 2.9087862 0.10677520 0.00000000 0.01699785 0.00000000 0 0.00000000
## 4 1.7531602 0.17168467 0.00000000 0.00000000 0.00000000 0 0.05401057
## 5 23.9273084 10.76105108 2.40275049 0.25810413 0.00000000 0 0.00000000
## 6 56.2482213 34.51409750 13.38102767 2.77681159 0.16890646 0 0.00000000
## 7 1.4633793 0.67633551 0.22359197 0.00000000 0.00000000 0 0.00000000
## 8 0.8482163 0.09770507 0.00000000 0.00000000 0.00000000 0 0.11656442
## 9 18.6598572 8.20674379 2.99507753 0.68373123 0.08294364 0 0.00000000
## 10 0.5391595 0.11222541 0.03796562 0.00000000 0.00000000 0 0.00000000
## 199 200 201 202 203 204 205
## 1 0.00000000 0.00000000 0.17594385 1.1834463 3.0774443 10.6047919 27.1485963
## 2 0.00000000 0.02263023 0.08134073 0.1108027 0.1722886 0.3616567 0.5471819
## 3 0.09241082 0.31697390 3.10773282 11.1453196 25.2511372 44.6952358 65.9920996
## 4 0.16364054 2.70650425 9.89014020 20.7177660 37.9800046 60.1783498 84.8591128
## 5 0.03020629 0.34160118 2.09774067 5.1041257 10.6660118 20.2109528 33.8239194
## 6 0.00000000 0.00000000 0.20895916 1.6205534 6.3001318 14.9596838 29.7380764
## 7 0.00000000 0.00459270 0.19434373 0.8573846 3.2646846 9.0756587 19.5412134
## 8 0.79595546 2.59372870 7.63326517 15.7032493 27.5532833 40.8029993 56.4283117
## 9 0.00000000 0.01673640 0.51144475 2.0615309 6.9428993 17.5732218 36.4794487
## 10 0.00000000 0.00000000 0.01384909 0.2659981 1.3746418 4.1296562 11.8192455
## 206 207 208 209 210 211 212
## 1 53.446273 88.29187 126.16941 155.69748 174.95886 185.68006 187.35987
## 2 1.226516 3.56234 11.66418 33.36934 70.03074 107.82131 131.00726
## 3 86.257362 103.34163 115.35169 120.72995 120.94925 122.70170 127.67369
## 4 107.392553 122.95036 131.95932 136.57711 141.01080 148.09262 158.27764
## 5 50.706041 63.06434 67.33816 61.70580 50.90791 39.09234 36.37156
## 6 52.828986 78.68880 104.64374 124.23636 137.16258 142.72596 141.21397
## 7 35.943679 56.66812 83.36476 108.10636 123.09185 121.81315 101.29538
## 8 71.602363 85.40582 95.68189 103.24085 108.63872 110.65758 112.32924
## 9 64.185823 99.24219 135.72606 161.46517 171.97391 166.91189 159.50948
## 10 27.019102 53.51313 92.39709 135.39255 171.71705 193.82426 199.46896
## 213 214 215 216 217 218 219
## 1 187.96684 189.58543 185.52614 167.84923 135.086157 93.911665 52.400290
## 2 127.57259 106.52412 78.52135 50.55401 26.969684 11.975448 4.307216
## 3 136.47426 141.45152 132.37683 108.88197 76.068470 45.081159 20.571223
## 4 164.30223 158.13721 135.34176 102.27603 67.522179 35.832912 13.413698
## 5 48.13949 71.47839 89.29740 91.30034 79.032662 61.187868 42.047397
## 6 138.45797 134.32253 127.83109 118.66851 107.322003 95.298551 80.769960
## 7 70.71356 41.94972 21.61204 11.09016 6.610346 3.953106 2.056079
## 8 112.61668 108.17905 95.37082 75.98478 50.969325 28.871620 14.149057
## 9 153.85183 151.88531 150.13414 135.40955 108.974403 77.881861 49.694561
## 10 188.09503 158.31614 116.38300 74.46036 41.553725 19.525310 6.940067
## 220 221 222 223 224 225
## 1 19.6590029 3.4574056 0.27105518 0.002662149 0.03727009 0.01282672
## 2 1.1678053 0.2491460 0.00000000 0.007045260 0.00000000 0.00000000
## 3 4.5405794 0.1098875 0.00000000 0.012449126 0.00000000 0.00000000
## 4 2.7239715 0.2712020 0.00000000 0.000000000 0.00000000 0.00000000
## 5 25.0545187 10.4683202 2.54518664 0.294941061 0.00000000 0.00000000
## 6 65.7388669 43.3146245 18.68274045 3.917523057 0.08616601 0.00000000
## 7 0.9395697 0.4561276 0.12037708 0.000000000 0.00000000 0.00000000
## 8 5.6934788 1.1872302 0.20972506 0.000000000 0.00000000 0.00000000
## 9 28.2153581 12.6849619 3.91114940 1.043071622 0.10435639 0.00000000
## 10 2.0768863 0.4541547 0.06972302 0.000000000 0.00000000 0.00000000
## 226 227 228 229 230 231
## 1 0.00000000 0.0128267183 0.00000000 0.26306873 1.65658277 6.5256534
## 2 0.00000000 0.0000000000 0.02391119 0.07087959 0.08881298 0.2030316
## 3 0.01627963 0.0641608810 0.50706249 3.79770170 11.51089299 25.0244194
## 4 0.05056309 0.1939783958 3.33578488 10.86646748 20.31808780 34.3442887
## 5 0.00000000 0.0667976424 0.52775049 2.73231827 6.66920432 14.1328585
## 6 0.00000000 0.0000000000 0.00000000 0.27536232 2.31198946 8.4563900
## 7 0.00000000 0.0000000000 0.00000000 0.14841673 1.01982113 4.5286439
## 8 0.57032493 3.3342422177 8.87934560 18.87184731 35.72165417 56.4146785
## 9 0.00000000 0.0000000000 0.19320699 1.31700714 4.55746985 12.4287472
## 10 0.00000000 0.0002387775 0.01599809 0.24355301 1.41786055 5.0310411
## 232 233 234 235 236 237 238
## 1 21.5198451 47.1348015 82.120523 122.25097 154.45620 170.98088 173.69724
## 2 0.3909052 0.5194278 1.045047 2.90222 10.41781 32.18638 74.09244
## 3 40.8053627 57.0196313 69.573617 79.75533 83.28561 82.62054 79.78453
## 4 49.3874971 63.4290968 74.971041 80.29487 80.33647 79.15261 82.27419
## 5 28.4219057 47.9346758 71.078340 87.29445 89.83546 78.91724 60.76498
## 6 19.5386034 40.4516469 67.630567 95.09987 119.49381 132.44163 134.92912
## 7 12.6231569 26.8905004 47.095963 73.00411 102.30892 123.94489 128.20063
## 8 81.1517837 106.8241309 132.650761 154.99727 169.41491 177.77778 181.70075
## 9 28.0526704 52.7819345 86.730002 123.16343 147.80187 154.94659 138.93355
## 10 13.2351958 32.0050143 63.818052 111.45296 156.61987 183.84670 189.39327
## 239 240 241 242 243 244 245
## 1 165.84511 155.17328 151.42498 155.94797 167.78291 173.096805 159.355760
## 2 121.88087 150.94983 141.42635 108.83390 71.73548 39.041845 17.020709
## 3 82.41800 91.50898 108.60689 127.89562 132.18434 114.480249 82.186737
## 4 94.24868 116.18938 136.85842 145.77247 134.43829 105.243852 69.207538
## 5 42.60707 37.67313 54.93001 86.13703 108.70236 107.765226 89.144155
## 6 130.97418 122.75626 116.80105 111.16943 104.53834 96.516996 88.117787
## 7 111.36790 77.61252 45.39328 21.82016 10.14358 6.293933 5.044235
## 8 184.05158 185.43467 186.84685 182.44422 165.75278 133.487844 90.979096
## 9 114.95324 99.43515 98.32464 109.89392 129.55353 134.768398 116.176717
## 10 180.71156 173.54752 171.78080 162.26266 136.96585 97.277459 58.550621
## 246 247 248 249 250 251 252
## 1 122.423040 77.593175 33.7122459 6.93489835 0.20740561 0.0000000 0.00000000
## 2 6.485909 1.873185 0.5725875 0.15115286 0.00000000 0.0000000 0.00000000
## 3 48.973665 23.141729 5.3507302 0.08977735 0.00000000 0.0000000 0.00000000
## 4 37.140657 14.483337 2.6945530 0.13996782 0.00000000 0.0000000 0.00000000
## 5 63.282171 38.661346 19.4179764 7.21119843 1.68050098 0.2080059 0.00000000
## 6 78.254018 66.773386 55.9227931 39.86930171 19.52411067 4.1744401 0.14571805
## 7 3.970510 2.236161 1.0273145 0.33212473 0.04906937 0.0000000 0.00000000
## 8 52.689843 25.581913 10.0206771 2.39627357 0.24426267 0.0000000 0.00000000
## 9 87.368693 58.617278 33.7858725 15.67560916 5.11666256 0.9010583 0.04725572
## 10 29.681232 11.668577 3.4761223 0.88371538 0.08261700 0.0000000 0.00000000
## 253 254 255 256 257 258
## 1 0.00000000 0.0000000 0.006534366 0.001452081 0.38286544 3.10091965
## 2 0.00000000 0.0000000 0.000000000 0.009180188 0.04803587 0.06981213
## 3 0.00000000 0.0000000 0.027531721 0.460857074 3.25784056 9.63753890
## 4 0.00000000 0.0484946 0.206389336 2.704435762 7.54562170 13.83429097
## 5 0.00000000 0.0000000 0.098477407 0.575392927 2.82981336 8.09111002
## 6 0.00000000 0.0000000 0.000000000 0.000000000 0.47457181 3.32911726
## 7 0.00000000 0.0000000 0.000000000 0.009185400 0.20546290 1.39400532
## 8 0.09111566 0.8897978 4.930243127 13.202908430 27.54146785 47.59531925
## 9 0.00000000 0.0000000 0.000000000 0.304208713 2.04184100 6.24415457
## 10 0.00000000 0.0000000 0.007640879 0.078319007 0.78557784 3.63586437
## 259 260 261 262 263 264
## 1 14.3533398 38.2833979 71.9186834 114.034124 149.252178 167.847773
## 2 0.2327071 0.3729718 0.5333049 1.007045 2.706874 9.313194
## 3 20.2477855 31.1520230 41.1568111 48.391669 53.760833 53.956667
## 4 22.6276718 30.5511377 36.6159504 39.902091 41.065043 41.281315
## 5 18.1156680 37.4820727 63.7797151 92.391699 109.190324 107.336444
## 6 10.7096179 24.8740448 50.8616601 81.463505 110.705665 130.902240
## 7 6.6113125 17.3222142 36.1269036 59.655789 91.178390 120.583273
## 8 72.8118609 102.6348557 132.2581232 158.921609 176.169507 183.574869
## 9 16.3517106 34.4014275 64.4275166 100.977849 132.670441 143.513414
## 10 11.6542502 27.8942216 61.2237345 110.120344 156.056113 175.246418
## 265 266 267 268 269 270 271
## 1 166.34148 151.31704 127.49879 108.81099 98.90586 105.38940 128.95499
## 2 30.83668 79.70517 140.08817 173.71477 151.93318 103.34778 58.32387
## 3 49.48552 46.61743 50.14101 66.01987 93.06919 121.49892 133.15992
## 4 44.20547 54.07010 77.07906 108.62124 135.88968 145.95334 131.00345
## 5 88.45457 60.60830 36.70359 35.29936 61.15250 102.82834 127.34455
## 6 133.81686 123.80659 108.49618 93.84427 83.58024 76.01713 69.43689
## 7 135.71670 124.29490 91.19483 52.60068 25.56369 12.85328 10.07735
## 8 182.88798 178.29698 176.23790 178.96683 188.09543 196.04908 188.61100
## 9 130.17869 97.36008 68.40217 57.72483 69.18656 96.26064 125.76643
## 10 160.66117 127.03391 99.89756 95.75907 114.97111 137.30181 137.76409
## 272 273 274 275 276 277
## 1 156.38190 165.131655 144.146902 101.5242014 50.3056631 11.80977735
## 2 26.27541 9.212852 2.596285 0.7967549 0.2997438 0.13279249
## 3 117.61815 83.547043 48.777352 22.7742399 5.5099354 0.18290639
## 4 97.86440 60.990347 30.496897 11.4433464 1.9832222 0.01631809
## 5 120.21586 91.016945 57.803291 30.3013261 12.6392436 3.84430255
## 6 62.54519 55.468511 49.230830 42.8790514 36.0084321 26.76916996
## 7 10.42640 9.724196 7.701474 4.4848924 2.0751752 0.76867295
## 8 158.43331 109.651897 63.873438 30.1122472 10.3751420 2.18995683
## 9 135.73123 119.404873 89.274428 57.4986463 32.2938715 15.14004430
## 10 109.50334 69.453677 34.869389 13.9243075 4.1320439 0.93314231
## 278 279 280 281 282 283 284
## 1 0.22386254 0.00000000 0.0000000 0.0000000 0.00000000 0.03363988 0.03436592
## 2 0.01387703 0.00234842 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000
## 3 0.02944697 0.01747666 0.0000000 0.0000000 0.00000000 0.01388556 0.36461575
## 4 0.01424960 0.00000000 0.0000000 0.0000000 0.02413238 0.10204551 2.09629970
## 5 0.82072692 0.07711198 0.0000000 0.0000000 0.00000000 0.13261297 0.75712181
## 6 13.56205534 2.54071146 0.1330698 0.0000000 0.00000000 0.00000000 0.00000000
## 7 0.10829103 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.01087745
## 8 0.18677573 0.00000000 0.0000000 0.1420132 0.92229039 4.88752556 12.70802090
## 9 4.83017475 0.94609894 0.1991140 0.0000000 0.00000000 0.00000000 0.26458282
## 10 0.07402101 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.20534862
## 285 286 287 288 289 290
## 1 0.77928364 7.19482091 25.963940 58.4211036 99.7345111 140.236205
## 2 0.05935098 0.06319385 0.204953 0.3505551 0.5339453 1.132579
## 3 1.84366770 6.79458942 13.845344 19.0811587 25.0450084 28.906153
## 4 4.48747414 7.54493220 11.484716 14.9749483 18.1328430 20.633877
## 5 3.40029470 9.85412574 23.684676 48.5690079 82.2752947 114.208988
## 6 0.83557312 4.14808959 13.391304 31.1949934 61.6864295 99.103294
## 7 0.19458545 1.91201354 9.205221 22.9144307 46.0471356 75.176940
## 8 26.17882299 44.88616224 68.472847 95.0974778 120.0529425 137.757555
## 9 2.11149397 6.53974895 17.805562 37.5611617 67.8070391 104.466650
## 10 2.06805158 7.81088825 20.281041 47.2774594 94.3600764 143.759074
## 291 292 293 294 295 296 297
## 1 163.815586 165.401742 144.89158 114.43175 84.87609 62.70523 52.39424
## 2 2.769001 8.049103 29.86422 87.96136 164.52839 196.78736 153.88706
## 3 31.167345 29.682308 26.37299 25.07230 34.73641 58.27556 92.78836
## 4 25.244771 33.530683 48.81062 73.23489 105.70903 136.73845 156.42036
## 5 128.839882 115.187377 83.61002 47.49533 25.37893 32.83399 71.22421
## 6 128.504875 142.582872 134.06087 111.88300 88.97866 70.44163 58.16812
## 7 111.627266 137.979937 138.09234 109.75417 66.34204 34.18226 20.50810
## 8 144.289252 137.899114 124.83822 114.86935 110.15337 117.96251 143.37014
## 9 132.687423 137.474772 115.67536 78.59906 53.91435 53.84445 77.39380
## 10 167.031519 146.599809 98.51266 57.31089 40.36963 54.41189 93.44771
## 298 299 300 301 302 303 304
## 1 60.30736 89.98959 130.42933 159.355034 155.8608422 121.2918683 66.9545015
## 2 89.28160 40.41247 14.24167 3.631298 0.8936806 0.3620837 0.1853117
## 3 123.07589 134.36031 116.83457 80.125209 44.8635384 20.1400527 5.0203495
## 4 150.07883 121.28821 80.55849 44.818433 19.8414158 6.3544013 1.1530683
## 5 123.02235 144.42952 126.35486 86.038802 47.4300098 20.3808939 6.6898330
## 6 47.80553 39.40211 32.31910 26.764954 22.8189723 19.5270092 16.5119895
## 7 19.75949 22.09040 23.19990 21.919749 17.2393038 10.9883974 5.2354363
## 8 174.55192 183.40059 158.62940 107.960918 60.1233810 26.8364008 8.0599864
## 9 112.84445 139.77381 138.17844 111.389614 78.0081221 46.9805562 24.6317992
## 10 134.97755 148.00645 123.94365 77.106256 37.4711079 13.9730181 3.8736867
## 305 306 307 308 309 310
## 1 18.02928364 0.40125847 0.000000000 0.000000000 0.00000000 0.00000000
## 2 0.03842869 0.05315969 0.027967549 0.008112724 0.00000000 0.01323655
## 3 0.48168542 0.18482164 0.086425664 0.000000000 0.00000000 0.00000000
## 4 0.01424960 0.04251896 0.000000000 0.000000000 0.00000000 0.01769708
## 5 1.93246562 0.49386051 0.003192534 0.000000000 0.00000000 0.00000000
## 6 12.28089592 6.26561265 1.232938076 0.088274045 0.00000000 0.00000000
## 7 1.91298042 0.25090645 0.000000000 0.000000000 0.00000000 0.00000000
## 8 1.30652125 0.10474892 0.000000000 0.000000000 0.06044081 0.60827085
## 9 11.30051686 4.39035196 0.991385676 0.225203052 0.00000000 0.00000000
## 10 0.84527221 0.14708691 0.007879656 0.000000000 0.00000000 0.00000000
## 311 312 313 314 315 316
## 1 0.000000000 0.06413359 1.37754114 13.50847047 40.9733785 82.6652953
## 2 0.008112724 0.03351836 0.09457728 0.07130658 0.1368488 0.2410333
## 3 0.000000000 0.22049318 1.26119224 3.87191764 7.2451520 10.0426143
## 4 0.068949667 1.36313491 2.57067341 4.04803493 5.7818892 7.9480579
## 5 0.162573674 0.88752456 3.97716110 12.43983301 31.0807957 63.5370825
## 6 0.000000000 0.05507246 1.15942029 5.31620553 16.3873518 37.4252964
## 7 0.000000000 0.00000000 0.22044960 3.07324148 12.2540488 29.4689388
## 8 3.934333106 9.18927516 19.15314701 33.35832765 51.8375369 71.9840945
## 9 0.000000000 0.19616047 1.53482648 6.15038149 16.5065223 34.7095742
## 10 0.037010506 0.41881566 3.62870105 12.23352436 29.9983286 67.5978988
## 317 318 319 320 321 322 323
## 1 127.5363020 159.002420 167.215634 147.792352 111.42643 75.72047 47.36399
## 2 0.4786507 1.166097 2.555722 6.918446 30.18061 102.65179 195.07558
## 3 12.7742399 15.601628 15.959780 14.749342 15.10749 20.02633 35.57673
## 4 12.4959779 21.575040 38.031947 62.293266 93.04390 126.56860 156.93496
## 5 104.2917485 136.906434 140.884578 111.286591 66.11272 29.64121 18.00295
## 6 73.5710145 117.018709 150.443215 159.565481 141.51357 113.54651 87.24796
## 7 57.4832004 94.753928 131.671259 148.015228 130.74692 89.64564 50.00363
## 8 90.1995001 99.890934 95.213588 78.994774 61.85344 51.62077 50.04135
## 9 63.6310608 100.645828 130.053409 139.052670 123.61063 92.66084 73.42210
## 10 120.3352436 157.496180 149.610315 102.184097 51.72755 26.57426 29.01624
## 324 325 326 327 328 329 330
## 1 30.46975 25.35503 34.81655 62.66045 108.191191 149.029768 160.6001936
## 2 213.96328 145.69535 67.41524 23.53074 6.007259 1.149018 0.3561059
## 3 65.91286 101.74575 129.13000 133.49030 111.882452 73.085468 38.3471391
## 4 175.93886 173.81659 147.72305 103.84831 60.735693 29.938175 10.7938405
## 5 37.08325 90.41233 146.09528 157.58202 124.297151 74.598232 35.5884086
## 6 69.25982 55.58867 41.67246 28.55652 18.585507 11.715942 8.0353096
## 7 33.19652 36.60527 45.25308 51.36282 50.609137 43.888325 34.4133430
## 8 66.09248 109.45444 158.83299 177.63236 148.583958 95.960464 48.7248353
## 9 83.52523 114.81738 145.15727 150.77972 128.250800 91.505046 56.7100665
## 10 58.41953 110.16404 158.87106 167.86891 133.130372 79.290115 35.4171442
## 331 332 333 334 335 336
## 1 133.5520329 80.1420620 24.305905131 0.62536302 0.052516941 0.00000000
## 2 0.1633219 0.1253202 0.020281810 0.06767720 0.032877882 0.01942784
## 3 16.0162796 3.9372756 0.808714388 0.41872157 0.048838880 0.00000000
## 4 2.7186854 0.4295564 0.003447483 0.04619628 0.000000000 0.00000000
## 5 13.0186640 3.8352161 0.921660118 0.24115914 0.037573674 0.00000000
## 6 6.0221344 5.1480896 3.909354414 2.06851120 0.544137022 0.02951252
## 7 22.1723471 11.6673918 4.092579164 0.56997825 0.002658932 0.00000000
## 8 19.4135424 4.9500114 0.492615315 0.05998637 0.002044990 0.00408998
## 9 31.6657642 15.5771597 7.276888998 2.61358602 0.685946345 0.04528673
## 10 12.5489494 3.1809933 0.550620821 0.08213945 0.017669532 0.00000000
## 337 338 339 340 341 342
## 1 0.00000000 0.003872217 0.014762827 0.11060019 2.89617619 22.75000000
## 2 0.00000000 0.000000000 0.002775406 0.05017079 0.06554227 0.02668659
## 3 0.00000000 0.000000000 0.000000000 0.12592770 0.76514245 2.10940867
## 4 0.00000000 0.002987819 0.012870604 0.55642381 1.23534820 2.35578028
## 5 0.00000000 0.000000000 0.125982318 0.92657171 4.70186640 15.93320236
## 6 0.00000000 0.000000000 0.000000000 0.25032938 1.31646904 6.15783926
## 7 0.00000000 0.000000000 0.000000000 0.00000000 0.25912497 4.17524776
## 8 0.03703704 0.327652806 2.311065667 5.65689616 11.98454897 22.59872756
## 9 0.00000000 0.000000000 0.000000000 0.15825745 1.03987202 4.34358848
## 10 0.00000000 0.000000000 0.091212989 0.88849093 5.26265521 15.66165234
## 343 344 345 346 347 348
## 1 60.5888190 107.9695063 148.9910455 167.612294 156.542836 119.204985
## 2 0.1411187 0.2329206 0.4925278 1.261315 2.455807 6.408839
## 3 3.9217141 5.5664352 7.9746229 10.338520 11.922911 13.715107
## 4 3.8384279 8.0427488 18.0013790 39.282464 72.694093 112.977017
## 5 42.1868861 83.7193026 129.9992633 157.642436 145.199656 99.730108
## 6 18.7865613 43.1852437 84.1747036 132.328590 170.241370 175.839526
## 7 15.5992265 37.9799372 72.0147450 114.445975 148.719120 151.102490
## 8 35.6750738 51.7361963 64.6416723 67.148375 56.311975 38.304249
## 9 12.4944622 27.0654689 51.6677332 86.816638 121.139552 143.281811
## 10 38.2731614 82.1024355 131.9615568 154.539637 128.226839 76.194842
## 349 350 351 352 353 354 355
## 1 75.35915 42.20499 21.73621 13.37803 12.67256 22.56438 50.43998
## 2 32.98292 127.73826 224.34394 219.35675 127.43254 43.31106 10.32024
## 3 18.37850 29.92698 51.21786 84.08331 114.47570 134.11970 129.08092
## 4 150.54011 180.99724 197.65226 198.18639 182.08642 144.78741 96.43806
## 5 51.02284 25.60806 25.56361 56.44106 120.46709 170.08841 163.38016
## 6 154.84084 127.81265 105.51278 89.65771 75.13544 59.34308 41.69802
## 7 117.40416 75.12328 52.88083 59.54339 78.27000 92.50834 96.67005
## 8 23.29402 17.60941 22.87344 50.39287 110.06658 165.23586 174.50716
## 9 147.03224 131.52794 121.44278 137.28427 161.11986 164.93650 140.06916
## 10 40.91882 35.87273 54.27603 94.78701 149.64828 188.94771 179.70726
## 356 357 358 359 360 361
## 1 95.424492 140.4324782 159.2429816 138.5643756 88.59874153 29.6730397
## 2 1.842229 0.3866354 0.2561913 0.1129377 0.07386849 0.0000000
## 3 102.191286 62.5752933 31.1156332 12.0617668 3.34187216 1.3789801
## 4 53.570903 23.7248908 8.0923926 2.1199724 0.27717766 0.0349345
## 5 116.020874 63.9285363 28.8501965 10.7033399 3.75147348 1.5572200
## 6 24.722530 12.9457181 5.9512516 2.9633729 1.53438735 0.7022398
## 7 89.853275 76.9502055 58.0959633 37.9120135 20.14696640 7.6867295
## 8 134.395819 77.2826630 34.5301068 12.0245399 2.93524199 0.3083390
## 9 100.197391 61.5850357 33.9433916 17.3445730 8.58060546 3.7585528
## 10 128.870105 68.4534384 27.7781757 9.4639446 2.44794651 0.3206781
## 362 363 364 365 366 367
## 1 0.9128751210 0.041868345 0.00000000 0.000000000 0.01524685 0.042110358
## 2 0.0226302306 0.003842869 0.02348420 0.006831768 0.00000000 0.001494449
## 3 0.7826191046 0.165429734 0.02034953 0.000000000 0.00000000 0.011491501
## 4 0.0487244312 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
## 5 0.3457760314 0.060166994 0.00000000 0.000000000 0.00000000 0.017436149
## 6 0.3399209486 0.090645586 0.00000000 0.000000000 0.00000000 0.000000000
## 7 1.1240029007 0.020304569 0.00000000 0.000000000 0.00000000 0.000000000
## 8 0.1322426721 0.036128153 0.01522381 0.000000000 0.11451943 1.093160645
## 9 1.1565345804 0.347772582 0.04824022 0.000000000 0.00000000 0.014029043
## 10 0.0004775549 0.000000000 0.00000000 0.000000000 0.00000000 0.061365807
## 368 369 370 371 372 373
## 1 0.15948693 5.27081317 35.56873185 82.3388190 131.1844143 163.3625363
## 2 0.02540564 0.03095645 0.02369769 0.1105892 0.1861657 0.5123826
## 3 0.14555901 0.56404118 1.87191764 3.9810869 6.8458224 11.2923151
## 4 0.10848081 0.51919099 1.47230522 3.7793611 10.2569524 27.1441048
## 5 0.88899804 5.70997053 21.86394892 56.9815815 106.5478880 153.6262279
## 6 0.20026350 1.24637681 6.24453228 18.8397892 44.3660079 85.1264822
## 7 0.00000000 0.20667150 5.11143341 19.5419386 46.8305535 88.0232052
## 8 3.37605090 8.04498978 15.92433538 25.2240400 36.6214497 44.8775278
## 9 0.07039134 0.50799902 2.34629584 7.5070145 17.7036672 36.4779719
## 10 1.04297994 6.06112703 17.81661891 42.9245463 87.8717765 133.1241643
## 374 375 376 377 378 379 380
## 1 165.862052 135.128267 85.878267 44.281462 19.130445 9.20547 6.101888
## 2 1.160974 2.111443 7.095858 43.014518 162.722246 242.04526 213.783945
## 3 16.144362 21.732104 29.131195 39.542255 57.192722 81.11611 107.535552
## 4 58.279476 102.285681 145.974718 178.557803 195.036313 197.87290 190.826247
## 5 172.957024 149.028487 101.146611 64.492878 51.487230 60.73649 99.063360
## 6 134.052174 169.574177 174.142556 157.954677 138.833992 123.45744 109.425033
## 7 132.699057 158.807107 146.490694 105.312304 76.918782 83.10297 109.559343
## 8 43.199046 31.819359 17.042490 8.935696 8.209498 20.92911 63.195183
## 9 66.642629 103.287718 141.964312 171.184100 178.052917 177.22373 188.250800
## 10 147.911652 121.560411 83.930038 68.812082 77.781996 104.57068 145.255014
## 381 382 383 384 385 386
## 1 6.905615 18.03485 47.896660 91.862536 137.7809777 157.6495644
## 2 99.130444 21.90371 3.250854 0.559778 0.2119983 0.1825363
## 3 128.633230 136.04166 120.706727 88.790759 51.4898252 25.1565717
## 4 177.119972 149.55367 110.865548 67.350494 32.8611813 13.0581476
## 5 158.821955 190.43713 165.937377 112.114440 63.0068762 31.0014735
## 6 97.484058 83.61212 65.473518 43.335968 23.4447958 10.8255599
## 7 131.649504 140.73266 136.605511 124.373701 105.7130771 80.6971235
## 8 132.803227 178.51102 166.692570 114.064076 58.1133833 23.6523517
## 9 184.789318 153.76052 107.883584 65.011322 35.3760768 18.1459513
## 10 188.686246 208.64231 176.310888 111.179083 51.2695798 19.3065903
## 387 388 389 390 391 392 393
## 1 137.82308809 89.60551791 32.09559535 1.23765731 0.004840271 0.0000000 0
## 2 0.06917165 0.02839453 0.00000000 0.01771990 0.002988898 0.0000000 0
## 3 9.80081398 4.12951879 2.54991621 1.33445056 0.458941824 0.1173091 0
## 4 3.76970811 0.63226844 0.09859802 0.02413238 0.000000000 0.0000000 0
## 5 14.32121807 6.78290766 3.09724951 0.54887033 0.042485265 0.0000000 0
## 6 4.28774704 1.82160738 0.65138340 0.12885375 0.013175231 0.0000000 0
## 7 53.62581581 29.99516558 12.20401257 2.04085086 0.080251390 0.0000000 0
## 8 7.68916155 2.34242218 0.71574642 0.26266758 0.020904340 0.0000000 0
## 9 8.91705636 4.29756338 1.79424071 0.65838051 0.110263352 0.0125523 0
## 10 6.33810888 1.72110793 0.26217765 0.00000000 0.000000000 0.0000000 0
## 394 395 396 397 398 399
## 1 0.00000000 0.000000000 0.07090997 8.35237173 50.2545983 103.13697967
## 2 0.00000000 0.000000000 0.00000000 0.05081127 0.0704526 0.05038429
## 3 0.00000000 0.000000000 0.22887240 1.04476897 3.7598755 9.01292794
## 4 0.00000000 0.002987819 0.03769248 0.53780740 1.6708803 3.76350264
## 5 0.00000000 0.007121807 1.09896857 7.51178782 29.0024558 71.77185658
## 6 0.00000000 0.006851120 0.12621871 0.94387352 5.4126482 15.39920949
## 7 0.00000000 0.000000000 0.00000000 0.09185400 6.1486584 24.00048344
## 8 0.04771643 0.441717791 1.73415133 5.17700523 11.1254260 17.93660532
## 9 0.00000000 0.000000000 0.01304455 0.13561408 1.0745754 3.84420379
## 10 0.00000000 0.045845272 0.97803247 5.72779370 16.9106972 41.23376313
## 400 401 402 403 404 405
## 1 150.38915779 169.8877057 153.820910 107.981123 56.80615 23.073814
## 2 0.09286934 0.4805722 1.114219 2.426132 10.57622 65.072374
## 3 17.19798899 26.5745751 37.336126 49.354800 63.60450 80.597797
## 4 11.17053551 30.0172374 61.210067 99.246150 132.45024 152.056309
## 5 125.46561886 170.5633595 185.502701 165.334725 132.81115 113.398821
## 6 36.35994730 71.3478261 112.686166 141.747299 147.13307 140.012912
## 7 56.83176215 103.5235678 148.415760 164.114818 139.67102 103.077109
## 8 25.38763917 29.7486935 26.153601 18.470575 11.19246 8.627812
## 9 10.73689392 23.4063500 47.700960 85.508491 135.83362 182.938223
## 10 81.73686724 125.2929799 143.196036 133.023161 116.52077 115.015282
## 406 407 408 409 410 411
## 1 8.775895 4.517425 3.524443 5.89061 20.462004 53.2270087
## 2 194.334330 246.464347 197.175491 66.92186 9.119556 0.9942357
## 3 100.118027 119.295427 136.955231 142.47833 134.571463 110.9334451
## 4 158.410940 157.842795 155.416686 155.48104 152.244082 132.2875201
## 5 110.164293 122.487475 155.972741 195.97176 205.652259 171.0422397
## 6 129.542819 120.866667 113.232411 105.98366 98.385507 84.7441370
## 7 98.009185 124.405850 152.864878 162.76263 156.536862 146.4114092
## 8 12.475119 34.548512 93.747103 162.93888 186.642808 153.6132697
## 9 207.604726 213.038888 207.810485 174.90327 121.281565 72.4683731
## 10 126.607450 147.554919 174.816141 205.55683 209.913324 158.7631328
## 412 413 414 415 416 417
## 1 99.5617135 141.8937561 156.3615682 132.0210552 85.02032914 31.54283640
## 2 0.2596072 0.1003416 0.1917165 0.1532878 0.04291204 0.04099061
## 3 75.5259756 43.3263107 21.4400287 10.0505147 6.16902083 4.06104860
## 4 94.2617789 53.9464491 24.9131234 8.3658929 1.85727419 0.15950356
## 5 117.8499509 71.1596267 39.0709725 21.4093811 11.60658153 4.76522593
## 6 61.9083004 37.5770751 18.5035573 7.8474308 2.98050066 1.12094862
## 7 137.0135364 122.4085086 95.8119410 65.0024172 36.71501088 15.59366691
## 8 92.5348784 43.3374233 17.9427403 7.0422631 2.80209043 0.80458987
## 9 40.1481664 21.3054393 11.2202806 5.5616540 2.58011322 1.20895890
## 10 85.7910697 35.0260267 12.6774117 4.2034384 1.29656160 0.15807068
## 418 419 420 421 422 423 424 425
## 1 1.452323330 0.00000000 0.00000000 0 0 0.00000000 0.090029042 12.96127783
## 2 0.001921435 0.00000000 0.00000000 0 0 0.00000000 0.006618275 0.04248506
## 3 2.109887479 0.61742878 0.01939191 0 0 0.02513766 0.799377544 3.21307158
## 4 0.009423121 0.00000000 0.00000000 0 0 0.15927373 0.409101356 1.47115606
## 5 0.943516699 0.05476424 0.00000000 0 0 0.03266208 1.676817289 9.00712181
## 6 0.140184453 0.00000000 0.00000000 0 0 0.05876153 0.158893281 0.83899868
## 7 3.103698332 0.05245347 0.00000000 0 0 0.00000000 0.000000000 0.17307227
## 8 0.241763236 0.00000000 0.00000000 0 0 0.06475801 0.890933879 2.89229721
## 9 0.419148413 0.02535073 0.00000000 0 0 0.00000000 0.021166626 0.03051932
## 10 0.000000000 0.00000000 0.00000000 0 0 0.01408787 0.751671442 4.54417383
## 426 427 428 429 430 431
## 1 65.819699903 1.212292e+02 162.3235721 169.0844627 136.415295 83.005566
## 2 0.006191289 1.494449e-03 0.1765585 0.5301025 1.025833 4.212852
## 3 10.505626047 2.294494e+01 39.0629638 55.8424707 73.361264 92.067991
## 4 2.731555964 4.493450e+00 10.0094231 22.7628131 44.504712 68.942772
## 5 33.301326130 7.645015e+01 126.7772593 169.0832515 187.297151 182.128193
## 6 4.468511199 1.196047e+01 25.2345191 47.8482213 73.505402 92.305402
## 7 6.986705342 2.798163e+01 65.6686004 115.1740392 158.878173 164.666425
## 8 7.097477846 1.251988e+01 16.5557828 18.5167007 17.763690 15.688025
## 9 0.663549102 2.565346e+00 7.5761752 19.2242186 43.006645 83.548609
## 10 13.859837631 3.309575e+01 66.2012894 106.6251194 132.595750 139.413563
## 432 433 434 435 436 437 438
## 1 36.07599 12.11326 4.25363 2.818974 3.714424 10.08398 30.871975
## 2 22.73548 97.64710 210.81618 242.042272 167.657558 43.62831 4.658198
## 3 111.40579 130.35576 146.86258 156.666746 158.694039 149.92985 131.742878
## 4 86.92852 95.55413 97.44863 98.377385 104.453459 118.99563 138.953114
## 5 170.34995 162.73306 163.33964 173.310904 195.505403 215.26105 208.863212
## 6 97.81634 96.87958 96.34598 97.046377 99.295125 102.70250 103.541765
## 7 137.75635 113.23785 124.13923 150.377568 158.852308 146.99613 132.379502
## 8 14.59486 16.09975 26.66144 62.929789 132.101113 184.73665 182.700295
## 9 137.74428 189.29658 213.50283 212.301501 192.319468 149.86980 96.849619
## 10 138.26791 140.22827 142.88348 150.056829 174.360076 204.76671 195.432187
## 439 440 441 442 443 444
## 1 68.422556 115.344385 149.0237173 152.0360600 121.5796225 75.29404647
## 2 0.543339 0.131725 0.1063194 0.2442357 0.1872331 0.03351836
## 3 102.324156 68.459660 41.4242279 23.9865932 14.8668901 10.89154896
## 4 141.972880 117.948518 76.1997242 38.6536428 15.8857734 4.06251436
## 5 168.741159 116.518664 72.0186640 41.8912083 24.0162083 12.61100196
## 6 96.676416 77.120685 50.0901186 26.8627141 12.8521739 4.83847167
## 7 128.924100 134.080735 130.3500121 104.7063089 70.0773507 38.91225526
## 8 132.265849 72.847080 34.4214951 15.7786867 7.4460350 3.18450352
## 9 55.925671 32.414964 18.4058577 10.3066699 5.4988924 2.46468127
## 10 132.156399 62.450812 24.3242598 9.0613658 3.5709169 1.16642789
## 445 446 447 448 449 450 451
## 1 27.2976767 1.290900290 0.000000000 0.00000000 0 0.011374637 0.000000000
## 2 0.0177199 0.002775406 0.017933390 0.00000000 0 0.006831768 0.000000000
## 3 7.4414652 3.756284415 1.187933924 0.09288963 0 0.000000000 0.090734977
## 4 0.4277178 0.000000000 0.026890370 0.00000000 0 0.000000000 0.475522868
## 5 4.7166012 0.997053045 0.144891945 0.01792731 0 0.000000000 0.006630648
## 6 1.5127800 0.206324111 0.000000000 0.00000000 0 0.000000000 0.066930171
## 7 16.2359197 3.948513416 0.059221658 0.00000000 0 0.000000000 0.009910563
## 8 1.0931606 0.253805953 0.000000000 0.00000000 0 0.000000000 0.002953874
## 9 1.0654689 0.272951021 0.000000000 0.00000000 0 0.000000000 0.000000000
## 10 0.1205826 0.000000000 0.009789876 0.00000000 0 0.000000000 0.003342884
## 452 453 454 455 456 457
## 1 0.103581801 17.82623427 78.12391094 134.05832527 168.5200871 163.6026137
## 2 0.001067464 0.01793339 0.01216909 0.06938514 0.1893681 0.5721605
## 3 1.971989466 8.21977496 22.84031602 44.76514245 67.7601149 90.0754130
## 4 1.633647437 3.84164560 5.34612733 6.67133992 10.1018157 15.9731096
## 5 1.308202358 8.42215128 30.74386051 65.82833988 103.8082024 137.2195481
## 6 0.282213439 1.58102767 6.55230567 13.04295125 19.8013175 28.2914361
## 7 0.004350979 0.37200870 7.78776891 30.29900894 70.9963742 122.3321247
## 8 0.630311293 1.85753238 4.33060668 7.62372188 10.2769825 12.4417178
## 9 0.055623923 0.06300763 0.89908934 3.53261137 10.2749200 27.2239724
## 10 0.477077364 2.81590258 9.60936008 22.32187202 44.6747851 75.9906877
## 458 459 460 461 462 463 464
## 1 119.573814 64.58470 24.69143 8.290658 3.575508 3.67546 8.000968
## 2 2.300171 10.91268 44.87810 125.291204 214.508967 224.92549 132.799530
## 3 111.192483 129.88820 147.17836 163.123055 173.844386 174.41968 168.351448
## 4 25.213054 33.54562 39.73385 41.829924 43.090094 48.43714 61.849230
## 5 154.995088 159.53315 157.96832 158.088654 162.719548 177.49361 199.239686
## 6 39.053755 47.13202 49.75362 53.059289 59.384980 70.19394 82.519895
## 7 164.508339 167.63162 142.66788 126.067682 135.731931 144.65651 130.989848
## 8 14.911611 16.78369 19.39491 26.031357 47.101795 99.78028 163.436264
## 9 56.510460 101.96850 152.17647 186.916810 190.159488 178.23677 159.847157
## 10 102.497373 117.62225 121.04728 118.508835 115.211079 127.40521 164.869150
## 465 466 467 468 469 470
## 1 21.53340 50.603340 94.0217812 135.3259923 155.3383349 142.6807841
## 2 33.21178 4.298463 0.6421862 0.3195986 0.2672929 0.3108454
## 3 153.41705 129.333732 100.5336366 71.7821403 50.1833852 35.5640412
## 4 87.66766 122.406343 142.7651115 129.6056079 90.5102275 50.3792232
## 5 209.62525 190.364194 146.3325147 96.1591356 57.7863458 33.0555010
## 6 93.69144 102.616337 102.4579710 87.2524374 58.7868248 33.3963109
## 7 107.41914 99.693256 116.2912739 137.1418903 135.5878656 104.3988397
## 8 189.51125 161.334015 103.2090434 53.6062259 25.3197001 13.1417860
## 9 129.38617 90.845927 57.7098203 36.3556485 21.2911642 12.1146936
## 10 194.68219 171.683142 105.5405922 46.0893028 18.6306113 7.4959408
## 471 472 473 474 475 476 477
## 1 106.155131 60.03848015 19.9985479 0.886737657 0.00000000 0.002904163 0
## 2 0.161187 0.08710504 0.1161401 0.023911187 0.03885568 0.000000000 0
## 3 26.659564 20.03471391 13.2401245 6.732343787 1.66387359 0.189849174 0
## 4 22.173523 6.72948747 0.7451161 0.000000000 0.00000000 0.000000000 0
## 5 17.985265 9.06679764 3.3848232 0.728388998 0.10633595 0.009823183 0
## 6 17.102767 7.08247694 2.0168643 0.146245059 0.00000000 0.000000000 0
## 7 67.649021 35.18298284 14.7222625 3.676818951 0.08605270 0.000000000 0
## 8 6.669166 3.07521018 1.1165644 0.184730743 0.00000000 0.000000000 0
## 9 6.683485 3.40191976 1.3010091 0.187792272 0.00000000 0.000000000 0
## 10 3.462512 0.95248329 0.1260745 0.001432665 0.00000000 0.000000000 0
## 478 479 480 481 482 483
## 1 0.000000000 0.00000000 0.15634076 23.010164569 85.57090997 140.5346079
## 2 0.004483348 0.00000000 0.00000000 0.007899231 0.05017079 0.1581981
## 3 0.000000000 0.16614795 4.05578166 15.759636102 37.90830740 67.2157051
## 4 0.016318088 0.75063204 3.78349805 8.066191680 10.53573891 12.5026431
## 5 0.000000000 0.03511788 0.71561886 5.904469548 21.09577603 42.7519646
## 6 0.000000000 0.06693017 0.34018445 3.508036891 13.34703557 23.5986825
## 7 0.000000000 0.00000000 0.01474498 0.612521151 7.29586657 29.2625091
## 8 0.014542150 0.01340604 0.28198137 1.079072938 2.27289252 3.8857078
## 9 0.000000000 0.00000000 0.02535073 0.216834851 1.77873492 6.7878415
## 10 0.000000000 0.00000000 0.23137536 1.371537727 5.00310411 12.3787011
## 484 485 486 487 488 489 490
## 1 169.9743466 158.585673 110.755082 56.99492 22.70184 9.698935 7.11544
## 2 0.3864219 1.596072 6.618488 25.22630 71.40585 143.031810 208.10760
## 3 93.7845344 116.273402 132.346181 144.31075 158.23773 169.710558 175.49437
## 4 14.1025052 15.466330 15.150080 15.50149 15.90370 16.264997 18.03333
## 5 64.5051572 81.805992 93.095776 97.56336 100.61739 104.667240 119.53585
## 6 25.8258235 24.723320 24.644532 23.98630 24.60817 27.626877 36.96495
## 7 70.1948272 123.403191 167.376601 176.69567 156.30505 137.727822 133.64370
## 8 5.8909339 8.596683 11.882299 15.21336 21.17973 34.981595 71.89957
## 9 19.5451637 44.346050 83.972680 129.03790 161.95939 167.894905 148.11740
## 10 24.6559217 41.748329 59.445081 71.24164 74.39804 73.526504 80.43553
## 491 492 493 494 495 496 497
## 1 11.07938 22.81026 46.74468 84.844143 124.943853 152.6064860 153.8046951
## 2 195.32259 105.71221 29.87703 5.543126 1.399445 0.7739112 0.5243382
## 3 174.06536 165.43261 150.75341 130.765861 108.313383 85.9851568 67.7730429
## 4 24.40565 42.62675 74.17100 115.094231 141.099747 131.9958630 94.7713169
## 5 146.88679 174.04519 179.59357 151.696955 107.111493 65.2180747 37.1692043
## 6 53.21423 72.11067 90.22819 102.316996 103.652701 90.7731225 64.1683794
## 7 126.29514 104.93159 92.07687 106.380469 136.120135 152.9620498 135.6642495
## 8 132.65508 177.71529 176.49352 130.164508 74.785731 36.3537832 16.9709157
## 9 134.54295 128.37682 116.48413 92.759045 66.363771 43.5075068 26.1681024
## 10 110.12751 158.17192 176.47708 143.413324 83.029131 37.3555396 15.9431710
## 498 499 500 501 502 503
## 1 126.2952565 85.6132623 42.7971926 12.2817038 0.53727009 0.00000000
## 2 0.4225021 0.3131939 0.2122118 0.2301452 0.10631939 0.05102477
## 3 53.5633230 42.0955231 31.1905674 20.8922672 9.62676562 1.86042614
## 4 56.6729487 26.7193749 8.5543553 0.8512986 0.00000000 0.00000000
## 5 19.9545678 9.5390472 4.1890963 1.6065815 0.37966601 0.06876228
## 6 38.1072464 19.5172596 8.5981555 2.6303030 0.06350461 0.00000000
## 7 96.0200628 56.8143582 27.4198695 10.1568770 2.35678028 0.06115543
## 8 8.2594865 4.0602136 1.9329698 0.9604635 0.18291297 0.00840718
## 9 15.0839281 8.7135122 4.4038888 1.4824022 0.07654443 0.00000000
## 10 6.9166667 2.8500478 0.8452722 0.1425501 0.04536772 0.00000000
## 504 505 506 507 508 509
## 1 0.025169409 0.00000000 0.000000000 0.00000000 0.22991288 25.1551307
## 2 0.001707942 0.00000000 0.000000000 0.00000000 0.00000000 0.0000000
## 3 0.152501796 0.00000000 0.030165190 0.18601867 6.44409864 24.2350970
## 4 0.000000000 0.00000000 0.012870604 1.30360837 6.94415077 14.9133533
## 5 0.002701375 0.00000000 0.000000000 0.05378193 0.45456778 2.8759823
## 6 0.000000000 0.00000000 0.000000000 0.07615283 0.53623188 6.2835310
## 7 0.000000000 0.00000000 0.000000000 0.00000000 0.03480783 0.7706067
## 8 0.000000000 0.01363327 0.009543286 0.05657805 0.15178369 0.5705521
## 9 0.000000000 0.00000000 0.000000000 0.00000000 0.01279842 0.5200591
## 10 0.000000000 0.01217765 0.000000000 0.00000000 0.13108883 0.6062560
## 510 511 512 513 514 515 516
## 1 85.45111326 139.6413359 169.909729 159.652711 115.097531 65.81776 33.74226
## 2 0.05636208 0.2700683 1.131085 4.589667 15.975875 44.04718 92.44983
## 3 53.06416088 84.8520469 112.836246 129.792435 140.867130 152.11779 161.27891
## 4 20.90232131 24.8381981 26.166628 24.491611 19.590899 15.74558 13.05723
## 5 9.97445972 19.4813360 29.255894 35.426326 39.523084 42.63433 48.71930
## 6 22.27641634 40.8779974 44.205270 37.223188 29.727800 24.19816 22.78393
## 7 6.07614213 24.4532270 62.498671 114.846507 163.877206 188.20885 178.19942
## 8 0.98545785 1.5494206 3.096342 5.202000 8.051579 13.04158 24.02454
## 9 3.99556978 12.5301501 32.515137 66.503323 109.788826 143.59882 152.28083
## 10 2.25167144 5.7745941 10.724451 18.111748 25.972302 32.05134 36.72636
## 517 518 519 520 521 522 523
## 1 21.56728 22.75799 33.84148 56.35237 87.93925 124.088093 151.848742
## 2 150.34031 190.82899 164.71307 91.31746 31.37617 7.964347 2.472246
## 3 168.15059 171.29136 168.17165 159.24659 148.37347 134.564759 120.440508
## 4 11.77224 13.99356 23.03539 46.83038 83.71432 121.985291 143.007125
## 5 61.96660 86.72765 120.24165 144.83129 143.92927 115.375491 75.780697
## 6 26.16232 36.34229 53.88327 75.14229 94.41739 106.319631 104.428986
## 7 154.22867 138.40537 126.32342 118.63138 128.24027 151.623157 168.508581
## 8 49.77869 99.81413 152.31766 174.80959 148.52874 97.196319 50.902749
## 9 131.43244 104.60128 98.34580 108.66232 110.12823 95.965050 73.764460
## 10 43.08548 64.54346 108.57498 148.71442 152.79990 117.111748 67.614374
## 524 525 526 527 528 529
## 1 158.706438 138.846321 100.8886738 61.2139400 26.7173282 6.5183930
## 2 1.328565 1.023911 0.6020495 0.4037148 0.2867208 0.2835184
## 3 104.254489 89.020110 74.6633948 59.4852765 44.2669380 26.8510893
## 4 130.230292 93.637095 57.1450241 27.8156746 8.3463572 0.8099288
## 5 44.182711 23.364686 11.5444499 5.2296169 2.0685167 0.7600688
## 6 88.694071 64.424506 39.5140975 20.8587615 9.1061924 2.6927536
## 7 157.723713 119.816534 76.2313270 39.7307227 16.9912980 5.3584723
## 8 23.359237 10.619177 4.8711656 2.2351738 1.0072711 0.4076346
## 9 50.358356 30.976372 17.3034703 10.2121585 4.8006399 1.2916564
## 10 33.307307 14.886342 6.7867717 2.8478988 0.9539160 0.1356256
## 530 531 532 533 534 535 536
## 1 0.24588577 0.00000000 0.0000000000 0 0.00000000 0.00000000 0.368102614
## 2 0.15905209 0.07344150 0.0275405636 0 0.00000000 0.00000000 0.008966695
## 3 10.53627005 1.44529567 0.0797222887 0 0.06104860 0.34618147 8.191525018
## 4 0.00000000 0.00000000 0.0000000000 0 0.03401517 2.06917950 10.188922087
## 5 0.19670923 0.02946955 0.0009823183 0 0.00000000 0.05402750 0.300834971
## 6 0.03873518 0.00000000 0.0000000000 0 0.00000000 0.15862978 0.865612648
## 7 1.13415518 0.05293691 0.0000000000 0 0.00000000 0.00000000 0.015228426
## 8 0.05476028 0.01976823 0.0000000000 0 0.00000000 0.07021132 0.055441945
## 9 0.06103864 0.00000000 0.0000000000 0 0.00000000 0.00000000 0.042579375
## 10 0.10768863 0.00000000 0.0000000000 0 0.00000000 0.00000000 0.105300860
## 537 538 539 540 541 542
## 1 23.49177154 77.3545499 131.0525169 167.191433 168.237415 138.838819
## 2 0.02540564 0.1594791 1.0266866 3.704099 11.375107 30.018574
## 3 29.97414412 62.4146517 97.1546565 125.205650 145.544649 157.869284
## 4 21.98942772 34.2183406 43.6513445 47.375546 45.530683 38.987359
## 5 1.23722986 3.9697937 7.0221022 9.898330 11.342338 13.426081
## 6 7.66060606 29.0508564 56.7235837 69.073518 65.236627 54.659552
## 7 0.71791153 4.2530819 17.1036983 46.900653 94.928209 148.207155
## 8 0.33765053 0.4676210 0.7141559 1.704385 3.481027 6.775960
## 9 1.08491263 6.5247354 19.6793010 46.504061 85.020921 124.387152
## 10 0.27793696 0.9863897 2.1735912 4.029370 6.625119 9.499045
## 543 544 545 546 547 548 549
## 1 96.74322 66.35019 55.61375 60.72386 78.91917 105.19845 134.11278
## 2 63.13642 106.25555 147.60696 167.65329 141.12788 84.81170 34.93168
## 3 166.09480 170.93392 171.38592 166.23270 156.94757 147.23438 138.82930
## 4 31.38842 25.10251 23.57573 28.92462 45.04781 73.95357 110.95656
## 5 17.80550 28.07981 48.55501 78.11149 107.05869 122.79666 117.73674
## 6 45.89460 41.49855 43.34862 52.02003 69.02819 89.40369 105.51884
## 7 191.17597 201.15809 187.70945 171.46531 165.26710 170.21682 182.75586
## 8 14.74710 33.35401 71.10793 120.72597 158.70052 156.84685 117.91184
## 9 141.66921 128.20404 99.41201 76.69653 81.68496 100.18828 110.03790
## 10 13.32689 20.09265 36.72708 69.21538 112.52531 136.98591 128.80325
## 550 551 552 553 554 555 556
## 1 157.19095 162.847773 145.040900 111.219748 72.7780736 37.5121007 13.4419167
## 2 10.83817 3.677626 2.079206 1.410974 0.7690009 0.4848420 0.3247225
## 3 132.07230 125.265741 116.173330 104.682787 89.7701700 70.9066316 49.0564999
## 4 140.72466 146.116525 124.220179 86.721903 51.8276258 23.8919789 6.2603999
## 5 93.14759 61.121316 35.541257 18.619597 9.0098232 3.6841847 1.2915029
## 6 112.26719 105.332279 85.964954 61.206324 37.3188406 19.0732543 8.2155468
## 7 187.48223 171.204013 132.434131 87.283781 48.0514866 21.9709935 7.8656031
## 8 70.21132 34.738696 15.468757 6.627130 2.4787548 0.9886389 0.3949102
## 9 100.04726 79.308639 55.410042 33.872262 19.2249569 10.6650258 4.5724834
## 10 96.44675 58.055158 30.650191 14.513372 6.5592168 2.9548711 1.1802770
## 557 558 559 560 561 562 563
## 1 2.5087125 0.095837367 0.000000000 0.00000000 0 0.000000000 0.000000000
## 2 0.2412468 0.131298036 0.046327925 0.02134927 0 0.000000000 0.000000000
## 3 26.6758439 9.371319129 1.545846301 0.03064400 0 0.008618626 0.425424946
## 4 0.5557343 0.004826477 0.000000000 0.00000000 0 0.080211446 2.549528844
## 5 0.3435658 0.077848723 0.003438114 0.00000000 0 0.000000000 0.031434185
## 6 2.1378129 0.085111989 0.000000000 0.00000000 0 0.000000000 0.151515152
## 7 2.0113609 0.330190960 0.005801305 0.00000000 0 0.000000000 0.002175489
## 8 0.1579187 0.060668030 0.000000000 0.00000000 0 0.000000000 0.001817769
## 9 0.8254984 0.011567807 0.000000000 0.00000000 0 0.000000000 0.000000000
## 10 0.3037249 0.139207259 0.000000000 0.00000000 0 0.000000000 0.000000000
## 564 565 566 567 568 569
## 1 0.37996128 17.67013553 60.7059535 113.4622459 157.582285 178.515489
## 2 0.01323655 0.15179334 0.6302306 3.0222032 8.474167 20.999146
## 3 8.51161120 31.25760115 61.8695236 97.2377304 129.017955 156.020589
## 4 12.51643300 27.51436451 45.0356240 61.4189841 74.554125 79.732935
## 5 0.18369352 0.50442043 1.2141454 2.4010314 3.391945 4.884823
## 6 0.92068511 6.78050066 28.2384717 61.1127800 86.781555 97.481423
## 7 0.00000000 0.45588591 2.0522117 9.3210056 27.705584 62.964950
## 8 0.00000000 0.06180414 0.2603954 0.5237446 1.493524 4.120654
## 9 0.04824022 1.33817376 8.5399951 26.1021413 56.961359 93.968250
## 10 0.06661891 0.20105062 0.7617001 1.1888730 1.743314 3.009312
## 570 571 572 573 574 575 576
## 1 173.464182 150.73742 127.43296 117.97483 122.73935 137.47096 156.08422
## 2 45.470538 78.11208 112.15628 137.53373 146.37297 124.56704 81.69172
## 3 171.485516 176.50706 174.27029 165.05626 150.37299 135.72564 124.06225
## 4 75.733395 66.85406 61.07447 60.58125 70.94461 92.25098 119.96575
## 5 7.806729 14.74460 29.84111 53.26817 78.90054 98.46390 106.93443
## 6 95.163900 87.62503 81.16601 79.27141 86.18129 99.30382 113.25929
## 7 113.376601 166.32995 201.52574 212.90742 211.83829 209.23810 206.11168
## 8 9.908203 23.56919 51.98046 93.01863 133.94501 151.41263 132.32424
## 9 126.350726 133.71031 114.83337 92.05809 79.81048 90.52031 109.35934
## 10 5.327603 10.55707 22.90926 46.73830 82.20893 113.67980 121.84718
## 577 578 579 580 581 582 583
## 1 168.04284 167.26137 147.814860 113.808809 77.261375 43.3426912 18.2744434
## 2 39.44257 14.56170 5.677626 2.695132 1.628523 0.9007259 0.4195132
## 3 117.81326 116.75820 117.115394 111.807039 99.773282 84.1979890 63.6059373
## 4 146.63112 156.56148 143.461733 109.840037 72.043898 39.9588600 15.8837049
## 5 101.28315 80.75074 55.271120 33.133595 17.762525 8.6146857 3.7296169
## 6 122.25007 120.27220 105.048221 80.487220 53.154414 30.9014493 15.2300395
## 7 195.48755 169.56128 129.483926 84.072758 46.578922 21.4570945 8.0756587
## 8 92.24517 52.73324 25.477846 10.813679 4.237219 1.3792320 0.5714610
## 9 116.22693 104.66601 82.159242 56.931824 34.261137 18.6699483 9.5961112
## 10 108.32068 83.20630 52.002388 29.072111 14.329990 6.6029131 3.1993792
## 584 585 586 587 588 589
## 1 5.1338335 0.8332527 0.018393030 0.034849952 0.00000000 0.000000000
## 2 0.2371904 0.2117848 0.112297182 0.039923143 0.00000000 0.006831768
## 3 42.1460378 21.9028011 6.879339239 0.964567872 0.00000000 0.000000000
## 4 3.7678695 0.2778672 0.004826477 0.000000000 0.00000000 0.000000000
## 5 1.3826130 0.3411100 0.059921415 0.000000000 0.00000000 0.000000000
## 6 5.8569170 1.2848485 0.072463768 0.004479578 0.01317523 0.000000000
## 7 2.3299492 0.6192893 0.125211506 0.000000000 0.00000000 0.000000000
## 8 0.2399455 0.1102022 0.085662349 0.000000000 0.00000000 0.000000000
## 9 3.4661580 0.4622200 0.031503815 0.000000000 0.00000000 0.000000000
## 10 1.3436008 0.5468004 0.192932187 0.000000000 0.00000000 0.000000000
## 590 591 592 593 594 595
## 1 0.000000000 0.0000000000 0.446757018 10.40730881 40.0246854 84.5183930
## 2 0.002134927 0.0162254483 0.031810418 0.20239112 1.9037148 5.9739539
## 3 0.000000000 0.4692362940 6.614555901 24.05003591 49.8819727 80.8187695
## 4 0.065961848 2.0995173523 11.082739600 25.99517352 46.3783038 72.2587911
## 5 0.000000000 0.0007367387 0.027750491 0.09602161 0.4356582 0.8234283
## 6 0.000000000 0.0629776021 0.509354414 4.93412385 21.0703557 51.1272727
## 7 0.000000000 0.0060430263 0.000000000 0.10925792 0.7425671 3.4827169
## 8 0.000000000 0.0000000000 0.002953874 0.12019995 0.4798909 1.1931379
## 9 0.000000000 0.0000000000 0.030273197 1.25276889 9.3807531 28.9815407
## 10 0.000000000 0.0000000000 0.016953200 0.24880611 0.5575454 0.8393028
## 596 597 598 599 600 601 602
## 1 132.708374 172.034124 195.060503 198.18780 190.18514 183.18466 180.95474
## 2 13.791631 31.008967 56.610803 85.63877 109.35803 124.55401 128.65350
## 3 114.090256 142.329423 158.908786 160.99330 151.91477 136.58511 117.98588
## 4 96.885314 116.476902 124.262928 124.33050 123.70788 126.78878 137.22707
## 5 1.913556 4.521611 9.928045 20.18418 37.97618 59.91601 77.81066
## 6 86.297497 112.821080 126.348090 129.22635 126.87062 125.47062 129.10224
## 7 11.982354 29.047861 60.269277 103.47063 145.40150 175.46725 188.59947
## 8 3.093161 7.742331 18.693479 39.55851 73.14474 109.36923 134.66144
## 9 59.493970 94.819591 125.601034 137.76175 132.99237 122.97145 120.62491
## 10 1.682187 3.685769 8.446991 17.84885 35.56972 61.88897 91.72612
## 603 604 605 606 607 608 609
## 1 182.61157 181.66021 168.85116 144.23863 109.630687 73.173282 41.980397
## 2 113.44022 80.12959 43.87233 18.46605 6.865927 3.013023 1.580060
## 3 102.06009 91.73354 87.81039 89.48288 91.918602 88.311228 77.541776
## 4 151.96369 166.11262 168.83912 153.81407 122.515744 82.879338 49.092393
## 5 89.43099 94.95948 89.28610 72.58399 52.074165 33.270629 18.630157
## 6 135.15520 139.11831 135.66166 120.38762 94.766798 65.733070 40.306983
## 7 185.02200 166.57505 136.15615 98.21054 61.021997 33.612279 15.527435
## 8 135.08634 109.80777 73.97160 42.42490 20.374915 8.771416 3.313338
## 9 127.51686 133.48856 128.42555 108.39011 80.571253 52.581344 30.523997
## 10 109.04967 106.28438 94.14733 73.63921 47.833811 28.099570 14.431232
## 610 611 612 613 614 615
## 1 18.9286060 6.2715392 1.7734753 0.29283640 0.02637948 0.10624395
## 2 0.6767720 0.2171221 0.1861657 0.17143467 0.07322801 0.04739539
## 3 62.2437156 44.9358391 29.1007900 13.66866172 3.77232463 0.50251377
## 4 23.2813146 7.7152379 1.4594346 0.06481269 0.00000000 0.00000000
## 5 9.2293713 4.1917976 1.7627701 0.45579568 0.06704322 0.00000000
## 6 21.8018445 9.5093544 3.4616601 0.58629776 0.06824769 0.00000000
## 7 6.0377085 1.8015470 0.4121344 0.14551607 0.03287406 0.00000000
## 8 0.9990911 0.3674165 0.1204272 0.10952056 0.08657123 0.00000000
## 9 14.8690623 6.8213143 2.0669456 0.23873985 0.03544179 0.00000000
## 10 6.9352913 3.4739733 1.4479465 0.74737345 0.14899713 0.00000000
## 616 617 618 619 620 621
## 1 0.009438529 0.000000000 0.0000000000 0.000000000 0.24854792 4.1309293
## 2 0.000000000 0.006618275 0.0021349274 0.016011956 0.03095645 0.3317677
## 3 0.000000000 0.000000000 0.0000000000 0.302848935 3.50921714 12.4725880
## 4 0.000000000 0.000000000 0.0009193289 1.332337394 7.27166169 18.9124339
## 5 0.000000000 0.000000000 0.0000000000 0.000000000 0.00000000 0.0000000
## 6 0.000000000 0.000000000 0.0000000000 0.006324111 0.17681159 2.5475626
## 7 0.000000000 0.000000000 0.0000000000 0.000000000 0.00000000 0.0000000
## 8 0.000000000 0.000000000 0.0000000000 0.000000000 0.01363327 0.3658259
## 9 0.000000000 0.000000000 0.0000000000 0.000000000 0.06669948 0.9377307
## 10 0.000000000 0.000000000 0.0000000000 0.000000000 0.03915950 0.2781757
## 622 623 624 625 626 627 628
## 1 19.7715392 50.0588093 89.642546 132.951355 170.14593 194.77081 203.88795
## 2 2.8985909 7.7546968 17.744449 36.293980 60.38386 83.23655 99.26324
## 3 28.4275796 49.9497247 74.823318 97.844147 110.21211 111.11539 101.51281
## 4 36.8745116 63.6439899 94.552746 126.482188 151.74213 167.35716 177.07929
## 5 0.1274558 0.7536837 2.239931 6.092338 13.22176 26.31680 43.64121
## 6 11.6505929 32.5222661 63.046377 96.484058 123.95283 142.54598 153.07167
## 7 0.1053904 0.4010152 2.552091 6.845540 14.85086 29.57699 47.39231
## 8 1.1858668 2.7107476 6.581459 15.146103 32.12588 58.20677 88.73142
## 9 7.7521536 25.6793010 52.849126 87.709820 122.61162 152.00788 169.82230
## 10 0.4302770 0.8822827 2.436485 6.741882 14.66285 29.43028 49.91500
## 629 630 631 632 633 634 635
## 1 202.33688 195.50387 181.31413 156.99831 126.59076 92.29816 59.607938
## 2 107.84564 109.80871 101.27583 75.14816 44.33070 19.64133 7.039923
## 3 87.42878 72.72325 61.92794 54.69452 51.98157 52.48839 53.597079
## 4 182.77959 185.67249 183.85658 173.31924 150.91381 118.50356 80.908986
## 5 60.92854 72.37893 79.97004 84.75442 79.93197 66.16528 49.286591
## 6 156.40632 156.99947 154.05586 144.58445 125.27299 97.98814 69.359420
## 7 63.63113 72.00604 70.38579 58.89896 42.46024 26.43026 14.394005
## 8 115.12997 126.51625 117.77778 92.57737 61.53761 35.59418 17.437401
## 9 178.03593 176.88851 171.51366 157.40684 132.69825 100.90057 67.819099
## 10 75.18171 94.45630 100.37202 92.57713 83.47326 67.27818 45.320917
## 636 637 638 639 640 641 642
## 1 34.126815 15.239351 5.6669894 1.7192643 0.45546951 0.140367861 0.03944821
## 2 2.479932 1.201110 0.4602904 0.1716482 0.08902647 0.036934244 0.04782237
## 3 50.894182 43.448887 34.2348576 24.0229830 14.25065837 6.295427340 1.51663874
## 4 48.036773 24.967823 9.7901632 2.8938175 0.40542404 0.000000000 0.00000000
## 5 33.289047 19.562132 10.1198428 4.4604617 1.84430255 0.447691552 0.08030452
## 6 43.495125 24.111989 10.9470356 4.4706192 1.52938076 0.253754941 0.04874835
## 7 6.725647 2.612763 1.0316655 0.2854726 0.04568528 0.005076142 0.00000000
## 8 7.807317 2.815496 0.8995683 0.3001591 0.08316292 0.064076346 0.05498750
## 9 39.702437 20.943638 9.6839774 3.8328821 0.91065715 0.143243908 0.05242432
## 10 27.156638 14.956543 7.8536294 4.0491882 1.70343840 0.658787011 0.18863419
## 643 644 645 646 647 648 649 650
## 1 0.037270087 0.01742498 0 0 0.00000000 0.014278800 0.9092449 5.25048403
## 2 0.053800171 0.00000000 0 0 0.00000000 0.002561913 0.5239112 2.67143467
## 3 0.120900168 0.00000000 0 0 0.02681350 0.860904956 3.4311707 8.76322720
## 4 0.001149161 0.00000000 0 0 0.55067801 3.507929212 10.1806481 21.19099058
## 5 0.015717092 0.00000000 0 0 0.01006876 0.000000000 0.0000000 0.07637525
## 6 0.000000000 0.00000000 0 0 0.00000000 0.141501976 1.2769433 5.09407115
## 7 0.000000000 0.00000000 0 0 0.00000000 0.000000000 0.0000000 0.00000000
## 8 0.000000000 0.00000000 0 0 0.00000000 0.035446489 0.7939105 2.19563736
## 9 0.000000000 0.00000000 0 0 0.00000000 0.028304209 0.4710805 4.07925178
## 10 0.000000000 0.00000000 0 0 0.00000000 0.029130850 0.2086915 0.52889207
## 651 652 653 654 655 656 657
## 1 17.4031946 39.0433204 68.5137948 100.138674 127.07841 144.311955 146.470474
## 2 7.2263023 16.3473527 31.6159266 50.364432 65.78138 75.430401 79.437447
## 3 16.9111803 26.8278669 36.9159684 42.063203 43.06608 39.700503 34.271247
## 4 38.6883475 63.9855206 94.1438750 122.597564 146.66766 163.390945 169.163411
## 5 0.8794204 2.8705796 7.1269646 14.941061 27.56827 41.997544 53.969303
## 6 16.0469038 35.0579710 59.8026350 86.444269 109.69987 127.471146 136.432411
## 7 0.0000000 0.1012811 0.4873096 1.195552 2.24293 3.411409 5.161711
## 8 5.2481254 11.8663940 24.3537832 44.926380 71.47307 96.729152 112.721881
## 9 15.9721880 36.7767659 65.4890475 99.747969 134.98892 166.158750 184.978095
## 10 1.6993792 4.9209647 11.2058262 22.116046 39.12894 60.206065 79.497135
## 658 659 660 661 662 663 664
## 1 134.595837 113.705954 87.113988 60.331801 37.53146 19.789690 8.7410455
## 2 80.264944 76.068745 58.235056 33.737617 14.28309 4.321093 1.4041418
## 3 28.636821 24.139095 20.579363 19.395020 18.60450 18.630357 17.5537467
## 4 164.608826 146.399678 120.179039 89.639623 60.81269 36.957711 19.2721214
## 5 61.686149 67.736002 72.263507 67.191306 56.60363 43.524558 30.4958251
## 6 135.739394 125.064295 105.839526 81.349934 56.54256 34.724638 19.7322793
## 7 7.000242 7.135606 5.890984 3.771574 2.19797 1.364757 0.7619048
## 8 114.609180 101.933879 77.957055 51.651897 31.73642 15.887753 7.2744831
## 9 184.721880 167.051194 139.197391 104.354418 70.37878 41.535565 21.8328821
## 10 89.361748 89.505731 81.473734 75.261223 62.30062 44.141834 27.6633238
## 665 666 667 668 669 670 671
## 1 3.404405 1.1207648 0.36205227 0.18393030 0.09027106 0.02468538 0.00000000
## 2 0.707088 0.3035867 0.09094791 0.01409052 0.05486763 0.05550811 0.06191289
## 3 15.422073 12.1333493 8.17907589 4.60354321 1.61958343 0.29470912 0.02034953
## 4 8.044587 2.7802804 0.65318318 0.07193749 0.00000000 0.00000000 0.01861641
## 5 18.764489 9.1625737 3.90717092 1.76105108 0.45997053 0.09749509 0.01571709
## 6 9.699868 4.0482213 1.64163373 0.60289855 0.09749671 0.00000000 0.00000000
## 7 0.331883 0.1302876 0.05873822 0.00000000 0.00000000 0.00000000 0.00000000
## 8 2.604863 0.7089298 0.29493297 0.06975687 0.07634628 0.03294706 0.00000000
## 9 10.785380 4.6554270 1.73541718 0.31454590 0.08835836 0.01845927 0.00000000
## 10 15.926457 8.4694365 4.47898758 2.03295129 0.63705826 0.12129895 0.00000000
## 672 673 674 675 676 677 678 679
## 1 0 0 0 0.00000000 0.0000000000 0.20958374 0.5280736 1.9997580
## 2 0 0 0 0.00000000 0.0002134927 0.11549957 0.9361657 2.1872331
## 3 0 0 0 0.00000000 0.0203495332 0.21953555 0.7723246 1.5472827
## 4 0 0 0 0.15008044 1.1243392324 3.38749713 7.4385199 14.3527925
## 5 0 0 0 0.00000000 0.0000000000 0.00000000 0.1598723 0.8804028
## 6 0 0 0 0.00000000 0.0922266140 0.28906456 1.3433465 5.1119895
## 7 0 0 0 0.00000000 0.0000000000 0.00000000 0.0000000 0.0000000
## 8 0 0 0 0.02385821 0.1145194274 0.94160418 3.0249943 7.1981368
## 9 0 0 0 0.00000000 0.0000000000 0.07703667 0.9340389 5.0785134
## 10 0 0 0 0.00000000 0.0000000000 0.18266476 0.8966094 2.7846227
## 680 681 682 683 684 685 686
## 1 5.441917 11.227493 18.983059 27.490077 33.9503872 36.0675218 33.6834463
## 2 4.176985 8.077284 13.484202 17.523271 19.3307003 20.1991887 21.9470538
## 3 2.732344 3.888437 4.598755 4.930093 5.0466842 5.3172133 5.0837922
## 4 24.236497 36.769938 50.296713 62.436222 71.4534590 73.3286601 69.1307745
## 5 2.269401 5.848723 11.761542 20.170187 28.6922888 34.5977407 38.3995580
## 6 12.472464 22.915152 36.712253 48.485903 58.8914361 65.1607378 63.5628458
## 7 0.000000 0.000000 0.000000 0.000000 0.1003142 0.1762146 0.2119894
## 8 16.586003 32.271302 53.290843 76.871847 95.3226539 103.9072938 101.0331743
## 9 14.151858 29.002215 48.569284 70.092050 89.2131430 101.0839281 100.9689884
## 10 6.895893 13.942932 26.262178 43.634193 60.8777459 74.0382044 77.9016237
## 687 688 689 690 691 692
## 1 27.5072604 19.3787512 12.1318974 6.3835915 2.5982575 1.0706680
## 2 21.9188728 15.5967122 8.1310845 3.0911614 0.9534586 0.3847139
## 3 4.8759876 4.3741920 4.0107733 3.4788125 2.9602586 2.4855159
## 4 58.0443576 43.8965755 30.3077453 18.7209837 9.5543553 4.3217651
## 5 43.4717583 46.3325147 41.3688605 34.8094303 26.5503438 18.8153242
## 6 55.0674572 42.3686430 28.8869565 18.3349144 11.0305665 5.7765481
## 7 0.1682379 0.1902345 0.2361615 0.1885424 0.1102248 0.0367416
## 8 86.5012497 66.0618041 44.9566008 28.3635537 14.2224494 7.0904340
## 9 87.7130199 66.7898105 45.8050701 26.6217081 13.9822791 7.0179670
## 10 75.5047755 69.6002865 66.0978988 55.9789876 41.0100287 27.0601719
## 693 694 695 696 697 698
## 1 0.47483059 0.2255566 0.10164569 0.069215876 0.030977735 0.016940949
## 2 0.14901793 0.1468830 0.04483348 0.007472246 0.000000000 0.022203245
## 3 2.22001436 1.8640172 1.31194637 0.695235815 0.376586067 0.100790041
## 4 1.69823029 0.5557343 0.16065272 0.031257182 0.000000000 0.000000000
## 5 11.25564833 5.3649312 2.04174853 0.709724951 0.074901768 0.020874263
## 6 2.63873518 1.3306983 0.69117260 0.300395257 0.103030303 0.000000000
## 7 0.01716219 0.0000000 0.00000000 0.000000000 0.000000000 0.000000000
## 8 2.65439673 0.8588957 0.24221768 0.022040445 0.015451034 0.009997728
## 9 3.33743539 1.2675363 0.57174502 0.086143244 0.005168595 0.000000000
## 10 16.12679083 8.6010029 4.30754537 2.182425979 0.411891117 0.058500478
## 699 700 701 702 703 704 705 706
## 1 0.000000000 0 0 0 0.000000000 0.00000000 0.00000000 0.00000000
## 2 0.003842869 0 0 0 0.000000000 0.00000000 0.00000000 0.00000000
## 3 0.023461815 0 0 0 0.000000000 0.00000000 0.00000000 0.00000000
## 4 0.000000000 0 0 0 0.013330269 0.05010342 0.42450011 0.91611124
## 5 0.000000000 0 0 0 0.000000000 0.00000000 0.01645383 0.06237721
## 6 0.000000000 0 0 0 0.000000000 0.06693017 0.11567852 0.14202899
## 7 0.000000000 0 0 0 0.000000000 0.00000000 0.00000000 0.00000000
## 8 0.000000000 0 0 0 0.000000000 0.09225176 0.72188139 2.45535106
## 9 0.000000000 0 0 0 0.000000000 0.00000000 0.00000000 0.05020921
## 10 0.000000000 0 0 0 0.008595989 0.00000000 0.17311366 0.97230181
## 707 708 709 710 711 712
## 1 0.008470474 0.07333011 0.16989351 0.25798645 0.3477735 0.4707164
## 2 0.000000000 0.02711358 0.10888130 0.24850555 0.2572588 0.4453459
## 3 0.060090974 0.06080919 0.08690448 0.09265023 0.1328705 0.2331817
## 4 1.688347506 2.78464721 4.45552746 5.89381751 7.4449552 8.1045737
## 5 0.245825147 0.62745580 1.94228880 4.11640472 6.5238212 7.5078585
## 6 0.600790514 2.09749671 4.27562582 6.92911726 9.7096179 11.1393939
## 7 0.000000000 0.00000000 0.00000000 0.00000000 0.0000000 0.0000000
## 8 7.012497160 16.86593956 31.89888662 49.46648489 66.7900477 80.0611225
## 9 0.540241201 1.12109279 2.35023382 3.88653704 5.9372385 7.9084420
## 10 2.595510984 5.61246418 12.02793696 21.87511939 35.6215377 47.2208691
## 713 714 715 716 717 718
## 1 0.2804937 0.3119555 0.3347047 0.2153921 0.1858664 0.07236205
## 2 0.7166951 0.8234415 0.6974808 0.1684458 0.0911614 0.00000000
## 3 0.3483361 0.4833613 0.6226957 0.6890113 0.6351448 0.59803687
## 4 8.4366812 7.9859802 6.6515744 5.3047575 3.7763732 2.38037233
## 5 8.5397839 10.3703340 12.8131139 12.7347741 10.3801572 7.63433202
## 6 11.3404480 10.3839262 8.1565217 6.2366271 4.3552042 3.05085639
## 7 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 8 84.3006135 80.5044308 68.0465803 52.6346285 36.6489434 23.37082481
## 9 8.8917056 9.4974157 9.3054393 7.5545164 4.8540487 2.60300271
## 10 55.7920248 56.1914995 52.5162369 49.5580229 47.1480420 40.36819484
## 719 720 721 722 723 724
## 1 0.01185866 0.0000000 0.0000000 0.00000000 0.000000000 0.00000000
## 2 0.00000000 0.0000000 0.0000000 0.00000000 0.000000000 0.00000000
## 3 0.44553507 0.2880057 0.1898492 0.19966483 0.108211635 0.03040460
## 4 1.31050333 0.6607676 0.2385658 0.07699379 0.038152149 0.00000000
## 5 5.63457760 3.2696464 1.7057957 0.69007859 0.346021611 0.18516699
## 6 1.76231884 0.8089592 0.4158103 0.36996047 0.315678524 0.19025033
## 7 0.00000000 0.0000000 0.0000000 0.00000000 0.000000000 0.00000000
## 8 12.75505567 6.5067030 2.5741877 0.81027039 0.287434674 0.02181322
## 9 1.31356141 0.6972680 0.3246370 0.05562392 0.003199606 0.00000000
## 10 29.91833811 19.5556351 11.7679083 6.18457498 2.723018147 1.05969436
## 725 726 727 728 729 730 731 732 733
## 1 0.000000000 0.00000000 0.00000000 0 0 0 0 0 0.000000000
## 2 0.000000000 0.00000000 0.00000000 0 0 0 0 0 0.000000000
## 3 0.004548719 0.02082835 0.02489825 0 0 0 0 0 0.000000000
## 4 0.000000000 0.00000000 0.00000000 0 0 0 0 0 0.003677316
## 5 0.008840864 0.00000000 0.00000000 0 0 0 0 0 0.016699411
## 6 0.069038208 0.00000000 0.00000000 0 0 0 0 0 0.000000000
## 7 0.000000000 0.00000000 0.00000000 0 0 0 0 0 0.000000000
## 8 0.011133833 0.00000000 0.00000000 0 0 0 0 0 0.176323563
## 9 0.000000000 0.00000000 0.00000000 0 0 0 0 0 0.000000000
## 10 0.157354346 0.03032474 0.00000000 0 0 0 0 0 0.146131805
## 734 735 736 737 738 739
## 1 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
## 2 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
## 3 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
## 4 0.014249598 0.03033785 0.10158584 0.09446104 0.09652953 0.1404275
## 5 0.062131631 0.05992141 0.01277014 0.02627701 0.12450884 0.3435658
## 6 0.000000000 0.00000000 0.02213439 0.12226614 0.22977602 0.4621871
## 7 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
## 8 0.868666212 3.83435583 9.50942968 17.35560100 25.24585322 34.9254715
## 9 0.001722865 0.03224219 0.03199606 0.15235048 0.16219542 0.1752400
## 10 0.410936008 0.89493792 1.33404967 3.05921681 5.41069723 8.7344795
## 740 741 742 743 744 745
## 1 0.0000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000
## 2 0.0000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000
## 3 0.0000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000
## 4 0.1861641 0.2564928 0.2105263 0.20730866 0.26959320 0.44219720
## 5 0.3317780 0.3479862 0.4118369 0.50785855 0.32269155 0.09921415
## 6 0.6645586 0.8392622 0.7696970 0.61343874 0.40606061 0.24163373
## 7 0.0000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000
## 8 42.6816633 45.6159964 44.2826630 38.43376505 29.81299705 21.44921609
## 9 0.1833620 0.1631799 0.1289687 0.08688161 0.01402904 0.01402904
## 10 13.8178128 16.7805635 16.6439828 15.23591213 14.39828080 14.50477555
## 746 747 748 749 750 751
## 1 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 2 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 3 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 4 0.390714778 0.23075155 0.13514135 0.07538497 0.05814755 0.01034245
## 5 0.066060904 0.06090373 0.05672888 0.02431238 0.00000000 0.01252456
## 6 0.208432148 0.09328063 0.09670619 0.16284585 0.13754941 0.05085639
## 7 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 8 14.284253579 8.48807089 4.43308339 1.48988866 0.37468757 0.24562599
## 9 0.004430224 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 10 11.893744031 8.71275072 5.98853868 3.83285578 1.82378223 0.61079274
## 752 753 754 755 756 757 758 759 760 761 762
## 1 0.000000000 0.0000000000 0.00000000 0 0 0 0 0 0 0 0.00000000
## 2 0.000000000 0.0000000000 0.00000000 0 0 0 0 0 0 0 0.00000000
## 3 0.000000000 0.0000000000 0.00000000 0 0 0 0 0 0 0 0.00000000
## 4 0.000000000 0.0000000000 0.00000000 0 0 0 0 0 0 0 0.00000000
## 5 0.027504912 0.0007367387 0.00000000 0 0 0 0 0 0 0 0.00000000
## 6 0.001317523 0.0000000000 0.00000000 0 0 0 0 0 0 0 0.00000000
## 7 0.000000000 0.0000000000 0.00000000 0 0 0 0 0 0 0 0.00000000
## 8 0.035446489 0.0000000000 0.01340604 0 0 0 0 0 0 0 0.05862304
## 9 0.000000000 0.0000000000 0.00000000 0 0 0 0 0 0 0 0.00000000
## 10 0.183858644 0.0078796562 0.00000000 0 0 0 0 0 0 0 0.00000000
## 763 764 765 766 767 768
## 1 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 2 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 3 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 4 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 5 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 6 0.000000000 0.00000000 0.00000000 0.00000000 0.03003953 0.06719368
## 7 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 8 0.332651670 0.73301522 1.04476255 1.64712565 2.68757101 3.67711884
## 9 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 10 0.009789876 0.05563515 0.05444126 0.06136581 0.17168099 0.22325692
## 769 770 771 772 773 774 775
## 1 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 2 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 3 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 4 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 5 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 6 0.06719368 0.0226614 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 7 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 8 4.64939786 5.1074756 6.0886162 5.5173824 4.4821631 3.1610998 1.846626
## 9 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.000000
## 10 0.20463228 0.2165712 0.3997135 0.2473734 0.1962751 0.0900191 0.258596
## 776 777 778 779 780 781 782 783 784
## 1 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 2 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 3 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 4 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 5 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 6 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 7 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 8 0.9391047 0.3971825 0.08634401 0.1181550 0.02726653 0 0 0 0
## 9 0.0000000 0.0000000 0.00000000 0.0000000 0.00000000 0 0 0 0
## 10 0.1874403 0.1745463 0.11174785 0.0487106 0.00000000 0 0 0 0PCA (principal component analysis)
95% of variance in train_data
around 154th component, the variability reach 95%. 100% of variability covers all component even though these components do not help much during analysis.
library(factoextra)
#pca: scale = T use correlation matrix
pca <- prcomp(train_data)
#95%
get_eigenvalue(pca) %>% filter(cumulative.variance.percent >=95)## eigenvalue variance.percent cumulative.variance.percent
## Dim.154 2.385760e-02 4.517562e-02 95.04332
## Dim.155 2.373784e-02 4.494886e-02 95.08827
## Dim.156 2.330843e-02 4.413574e-02 95.13241
## Dim.157 2.317285e-02 4.387901e-02 95.17629
## Dim.158 2.241233e-02 4.243893e-02 95.21873
## Dim.159 2.219714e-02 4.203146e-02 95.26076
## Dim.160 2.198805e-02 4.163554e-02 95.30239
## Dim.161 2.185470e-02 4.138303e-02 95.34378
## Dim.162 2.149923e-02 4.070993e-02 95.38449
## Dim.163 2.104765e-02 3.985484e-02 95.42434
## Dim.164 2.082641e-02 3.943591e-02 95.46378
## Dim.165 2.081099e-02 3.940671e-02 95.50318
## Dim.166 2.067021e-02 3.914013e-02 95.54232
## Dim.167 2.015606e-02 3.816656e-02 95.58049
## Dim.168 2.002748e-02 3.792309e-02 95.61841
## Dim.169 1.983237e-02 3.755363e-02 95.65597
## Dim.170 1.974235e-02 3.738317e-02 95.69335
## Dim.171 1.934658e-02 3.663377e-02 95.72998
## Dim.172 1.917423e-02 3.630741e-02 95.76629
## Dim.173 1.897532e-02 3.593076e-02 95.80222
## Dim.174 1.885514e-02 3.570320e-02 95.83793
## Dim.175 1.864372e-02 3.530286e-02 95.87323
## Dim.176 1.862925e-02 3.527546e-02 95.90850
## Dim.177 1.823569e-02 3.453024e-02 95.94303
## Dim.178 1.812872e-02 3.432769e-02 95.97736
## Dim.179 1.805553e-02 3.418910e-02 96.01155
## Dim.180 1.791162e-02 3.391659e-02 96.04547
## Dim.181 1.768430e-02 3.348615e-02 96.07895
## Dim.182 1.741924e-02 3.298425e-02 96.11194
## Dim.183 1.719025e-02 3.255064e-02 96.14449
## Dim.184 1.714785e-02 3.247036e-02 96.17696
## Dim.185 1.695299e-02 3.210138e-02 96.20906
## Dim.186 1.692231e-02 3.204329e-02 96.24110
## Dim.187 1.675130e-02 3.171947e-02 96.27282
## Dim.188 1.673147e-02 3.168191e-02 96.30450
## Dim.189 1.641975e-02 3.109165e-02 96.33560
## Dim.190 1.638048e-02 3.101730e-02 96.36661
## Dim.191 1.620409e-02 3.068330e-02 96.39730
## Dim.192 1.604514e-02 3.038232e-02 96.42768
## Dim.193 1.582786e-02 2.997089e-02 96.45765
## Dim.194 1.575489e-02 2.983271e-02 96.48748
## Dim.195 1.553129e-02 2.940932e-02 96.51689
## Dim.196 1.549426e-02 2.933920e-02 96.54623
## Dim.197 1.547236e-02 2.929772e-02 96.57553
## Dim.198 1.527691e-02 2.892764e-02 96.60446
## Dim.199 1.505049e-02 2.849890e-02 96.63296
## Dim.200 1.498227e-02 2.836973e-02 96.66133
## Dim.201 1.484417e-02 2.810822e-02 96.68943
## Dim.202 1.458942e-02 2.762584e-02 96.71706
## Dim.203 1.447562e-02 2.741035e-02 96.74447
## Dim.204 1.434352e-02 2.716020e-02 96.77163
## Dim.205 1.412807e-02 2.675224e-02 96.79838
## Dim.206 1.408960e-02 2.667939e-02 96.82506
## Dim.207 1.388354e-02 2.628922e-02 96.85135
## Dim.208 1.383889e-02 2.620466e-02 96.87756
## Dim.209 1.380935e-02 2.614872e-02 96.90370
## Dim.210 1.363857e-02 2.582536e-02 96.92953
## Dim.211 1.355146e-02 2.566039e-02 96.95519
## Dim.212 1.348720e-02 2.553872e-02 96.98073
## Dim.213 1.341983e-02 2.541116e-02 97.00614
## Dim.214 1.335130e-02 2.528139e-02 97.03142
## Dim.215 1.325088e-02 2.509125e-02 97.05651
## Dim.216 1.311218e-02 2.482861e-02 97.08134
## Dim.217 1.307679e-02 2.476159e-02 97.10610
## Dim.218 1.291020e-02 2.444614e-02 97.13055
## Dim.219 1.284816e-02 2.432867e-02 97.15488
## Dim.220 1.272700e-02 2.409924e-02 97.17898
## Dim.221 1.268916e-02 2.402759e-02 97.20300
## Dim.222 1.264102e-02 2.393645e-02 97.22694
## Dim.223 1.260036e-02 2.385944e-02 97.25080
## Dim.224 1.248796e-02 2.364660e-02 97.27445
## Dim.225 1.225515e-02 2.320577e-02 97.29765
## Dim.226 1.219863e-02 2.309875e-02 97.32075
## Dim.227 1.209276e-02 2.289827e-02 97.34365
## Dim.228 1.200318e-02 2.272866e-02 97.36638
## Dim.229 1.193349e-02 2.259669e-02 97.38898
## Dim.230 1.187091e-02 2.247819e-02 97.41145
## Dim.231 1.167004e-02 2.209783e-02 97.43355
## Dim.232 1.158948e-02 2.194530e-02 97.45550
## Dim.233 1.148021e-02 2.173839e-02 97.47723
## Dim.234 1.140330e-02 2.159275e-02 97.49883
## Dim.235 1.135173e-02 2.149510e-02 97.52032
## Dim.236 1.128117e-02 2.136149e-02 97.54168
## Dim.237 1.116886e-02 2.114882e-02 97.56283
## Dim.238 1.113590e-02 2.108641e-02 97.58392
## Dim.239 1.099063e-02 2.081134e-02 97.60473
## Dim.240 1.083522e-02 2.051707e-02 97.62525
## Dim.241 1.076000e-02 2.037462e-02 97.64562
## Dim.242 1.073494e-02 2.032718e-02 97.66595
## Dim.243 1.065639e-02 2.017844e-02 97.68613
## Dim.244 1.054453e-02 1.996661e-02 97.70609
## Dim.245 1.045571e-02 1.979844e-02 97.72589
## Dim.246 1.039352e-02 1.968069e-02 97.74557
## Dim.247 1.028844e-02 1.948171e-02 97.76506
## Dim.248 1.023038e-02 1.937177e-02 97.78443
## Dim.249 1.017489e-02 1.926669e-02 97.80369
## Dim.250 1.014624e-02 1.921244e-02 97.82291
## Dim.251 1.004724e-02 1.902499e-02 97.84193
## Dim.252 9.948967e-03 1.883889e-02 97.86077
## Dim.253 9.866639e-03 1.868300e-02 97.87945
## Dim.254 9.769450e-03 1.849897e-02 97.89795
## Dim.255 9.753956e-03 1.846963e-02 97.91642
## Dim.256 9.722510e-03 1.841008e-02 97.93483
## Dim.257 9.653183e-03 1.827881e-02 97.95311
## Dim.258 9.628650e-03 1.823236e-02 97.97134
## Dim.259 9.579465e-03 1.813922e-02 97.98948
## Dim.260 9.485494e-03 1.796128e-02 98.00744
## Dim.261 9.332235e-03 1.767108e-02 98.02511
## Dim.262 9.274437e-03 1.756164e-02 98.04268
## Dim.263 9.234309e-03 1.748565e-02 98.06016
## Dim.264 9.161812e-03 1.734837e-02 98.07751
## Dim.265 9.111135e-03 1.725241e-02 98.09476
## Dim.266 9.055807e-03 1.714765e-02 98.11191
## Dim.267 9.037680e-03 1.711332e-02 98.12902
## Dim.268 8.913036e-03 1.687730e-02 98.14590
## Dim.269 8.879255e-03 1.681334e-02 98.16271
## Dim.270 8.855986e-03 1.676928e-02 98.17948
## Dim.271 8.780761e-03 1.662683e-02 98.19611
## Dim.272 8.676469e-03 1.642935e-02 98.21254
## Dim.273 8.655831e-03 1.639027e-02 98.22893
## Dim.274 8.609538e-03 1.630261e-02 98.24523
## Dim.275 8.568408e-03 1.622473e-02 98.26146
## Dim.276 8.472662e-03 1.604343e-02 98.27750
## Dim.277 8.464276e-03 1.602755e-02 98.29353
## Dim.278 8.388876e-03 1.588478e-02 98.30941
## Dim.279 8.364771e-03 1.583913e-02 98.32525
## Dim.280 8.304448e-03 1.572491e-02 98.34098
## Dim.281 8.207917e-03 1.554212e-02 98.35652
## Dim.282 8.156594e-03 1.544494e-02 98.37196
## Dim.283 8.113114e-03 1.536261e-02 98.38733
## Dim.284 8.018426e-03 1.518331e-02 98.40251
## Dim.285 7.968218e-03 1.508824e-02 98.41760
## Dim.286 7.942855e-03 1.504021e-02 98.43264
## Dim.287 7.870789e-03 1.490375e-02 98.44754
## Dim.288 7.831278e-03 1.482894e-02 98.46237
## Dim.289 7.747249e-03 1.466982e-02 98.47704
## Dim.290 7.706049e-03 1.459181e-02 98.49163
## Dim.291 7.576780e-03 1.434703e-02 98.50598
## Dim.292 7.573794e-03 1.434138e-02 98.52032
## Dim.293 7.549160e-03 1.429473e-02 98.53462
## Dim.294 7.491951e-03 1.418640e-02 98.54880
## Dim.295 7.469266e-03 1.414345e-02 98.56295
## Dim.296 7.410532e-03 1.403223e-02 98.57698
## Dim.297 7.305982e-03 1.383426e-02 98.59081
## Dim.298 7.258657e-03 1.374465e-02 98.60456
## Dim.299 7.202257e-03 1.363785e-02 98.61820
## Dim.300 7.153246e-03 1.354505e-02 98.63174
## Dim.301 7.137902e-03 1.351599e-02 98.64526
## Dim.302 7.097985e-03 1.344041e-02 98.65870
## Dim.303 7.044870e-03 1.333983e-02 98.67204
## Dim.304 6.986179e-03 1.322870e-02 98.68527
## Dim.305 6.905161e-03 1.307529e-02 98.69834
## Dim.306 6.859628e-03 1.298907e-02 98.71133
## Dim.307 6.788051e-03 1.285353e-02 98.72418
## Dim.308 6.751803e-03 1.278489e-02 98.73697
## Dim.309 6.705623e-03 1.269745e-02 98.74967
## Dim.310 6.686284e-03 1.266083e-02 98.76233
## Dim.311 6.648029e-03 1.258839e-02 98.77491
## Dim.312 6.609411e-03 1.251527e-02 98.78743
## Dim.313 6.549959e-03 1.240269e-02 98.79983
## Dim.314 6.471514e-03 1.225415e-02 98.81209
## Dim.315 6.460003e-03 1.223236e-02 98.82432
## Dim.316 6.399852e-03 1.211846e-02 98.83644
## Dim.317 6.383035e-03 1.208661e-02 98.84852
## Dim.318 6.341615e-03 1.200818e-02 98.86053
## Dim.319 6.285356e-03 1.190165e-02 98.87243
## Dim.320 6.244236e-03 1.182379e-02 98.88426
## Dim.321 6.191240e-03 1.172344e-02 98.89598
## Dim.322 6.112376e-03 1.157411e-02 98.90756
## Dim.323 6.092261e-03 1.153602e-02 98.91909
## Dim.324 6.050033e-03 1.145606e-02 98.93055
## Dim.325 6.000715e-03 1.136267e-02 98.94191
## Dim.326 5.977429e-03 1.131858e-02 98.95323
## Dim.327 5.901910e-03 1.117558e-02 98.96440
## Dim.328 5.824687e-03 1.102935e-02 98.97543
## Dim.329 5.807107e-03 1.099606e-02 98.98643
## Dim.330 5.774831e-03 1.093495e-02 98.99736
## Dim.331 5.765712e-03 1.091768e-02 99.00828
## Dim.332 5.728777e-03 1.084774e-02 99.01913
## Dim.333 5.692872e-03 1.077975e-02 99.02991
## Dim.334 5.646395e-03 1.069175e-02 99.04060
## Dim.335 5.636152e-03 1.067235e-02 99.05127
## Dim.336 5.602100e-03 1.060787e-02 99.06188
## Dim.337 5.516849e-03 1.044644e-02 99.07233
## Dim.338 5.513244e-03 1.043962e-02 99.08277
## Dim.339 5.443164e-03 1.030692e-02 99.09307
## Dim.340 5.398047e-03 1.022149e-02 99.10330
## Dim.341 5.353476e-03 1.013709e-02 99.11343
## Dim.342 5.312480e-03 1.005946e-02 99.12349
## Dim.343 5.268768e-03 9.976689e-03 99.13347
## Dim.344 5.251540e-03 9.944067e-03 99.14341
## Dim.345 5.206241e-03 9.858291e-03 99.15327
## Dim.346 5.123491e-03 9.701599e-03 99.16297
## Dim.347 5.121508e-03 9.697845e-03 99.17267
## Dim.348 5.085341e-03 9.629361e-03 99.18230
## Dim.349 4.996479e-03 9.461096e-03 99.19176
## Dim.350 4.971001e-03 9.412853e-03 99.20117
## Dim.351 4.913731e-03 9.304408e-03 99.21048
## Dim.352 4.888808e-03 9.257216e-03 99.21974
## Dim.353 4.836461e-03 9.158093e-03 99.22889
## Dim.354 4.809968e-03 9.107929e-03 99.23800
## Dim.355 4.779472e-03 9.050181e-03 99.24705
## Dim.356 4.754558e-03 9.003006e-03 99.25606
## Dim.357 4.732664e-03 8.961549e-03 99.26502
## Dim.358 4.699187e-03 8.898158e-03 99.27391
## Dim.359 4.664249e-03 8.832001e-03 99.28275
## Dim.360 4.622496e-03 8.752939e-03 99.29150
## Dim.361 4.601167e-03 8.712553e-03 99.30021
## Dim.362 4.536320e-03 8.589760e-03 99.30880
## Dim.363 4.491472e-03 8.504838e-03 99.31731
## Dim.364 4.491040e-03 8.504020e-03 99.32581
## Dim.365 4.469723e-03 8.463656e-03 99.33427
## Dim.366 4.427158e-03 8.383057e-03 99.34266
## Dim.367 4.369130e-03 8.273177e-03 99.35093
## Dim.368 4.357165e-03 8.250521e-03 99.35918
## Dim.369 4.338949e-03 8.216028e-03 99.36740
## Dim.370 4.270203e-03 8.085855e-03 99.37548
## Dim.371 4.209497e-03 7.970905e-03 99.38345
## Dim.372 4.172182e-03 7.900246e-03 99.39135
## Dim.373 4.139387e-03 7.838146e-03 99.39919
## Dim.374 4.121229e-03 7.803764e-03 99.40700
## Dim.375 4.090419e-03 7.745423e-03 99.41474
## Dim.376 4.045499e-03 7.660364e-03 99.42240
## Dim.377 4.000497e-03 7.575152e-03 99.42998
## Dim.378 3.957161e-03 7.493093e-03 99.43747
## Dim.379 3.920317e-03 7.423327e-03 99.44489
## Dim.380 3.864483e-03 7.317602e-03 99.45221
## Dim.381 3.855618e-03 7.300815e-03 99.45951
## Dim.382 3.831149e-03 7.254482e-03 99.46677
## Dim.383 3.815298e-03 7.224468e-03 99.47399
## Dim.384 3.789405e-03 7.175438e-03 99.48117
## Dim.385 3.764271e-03 7.127845e-03 99.48829
## Dim.386 3.672926e-03 6.954879e-03 99.49525
## Dim.387 3.654248e-03 6.919512e-03 99.50217
## Dim.388 3.620422e-03 6.855459e-03 99.50902
## Dim.389 3.583832e-03 6.786175e-03 99.51581
## Dim.390 3.539475e-03 6.702182e-03 99.52251
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## Dim.710 1.103431e-30 2.089404e-30 100.00000
## Dim.711 1.009702e-30 1.911925e-30 100.00000
## Dim.712 8.509803e-31 1.611376e-30 100.00000
## Dim.713 6.376477e-31 1.207419e-30 100.00000
## Dim.714 5.505719e-31 1.042537e-30 100.00000
## Dim.715 4.296664e-31 8.135959e-31 100.00000
## Dim.716 3.539994e-31 6.703165e-31 100.00000
## Dim.717 3.466200e-31 6.563432e-31 100.00000
## Dim.718 2.868525e-31 5.431703e-31 100.00000
## Dim.719 2.702808e-31 5.117910e-31 100.00000
## Dim.720 2.337841e-31 4.426824e-31 100.00000
## Dim.721 2.110304e-31 3.995972e-31 100.00000
## Dim.722 1.702734e-31 3.224217e-31 100.00000
## Dim.723 1.609018e-31 3.046760e-31 100.00000
## Dim.724 1.412426e-31 2.674503e-31 100.00000
## Dim.725 1.321251e-31 2.501858e-31 100.00000
## Dim.726 1.042883e-31 1.974754e-31 100.00000
## Dim.727 1.017081e-31 1.925896e-31 100.00000
## Dim.728 8.353771e-32 1.581831e-31 100.00000
## Dim.729 7.434785e-32 1.407816e-31 100.00000
## Dim.730 5.578020e-32 1.056227e-31 100.00000
## Dim.731 5.031229e-32 9.526897e-32 100.00000
## Dim.732 4.906087e-32 9.289935e-32 100.00000
## Dim.733 4.313956e-32 8.168703e-32 100.00000
## Dim.734 3.539269e-32 6.701792e-32 100.00000
## Dim.735 2.708185e-32 5.128090e-32 100.00000
## Dim.736 2.120517e-32 4.015310e-32 100.00000
## Dim.737 2.119345e-32 4.013092e-32 100.00000
## Dim.738 2.119345e-32 4.013092e-32 100.00000
## Dim.739 2.119345e-32 4.013092e-32 100.00000
## Dim.740 2.119345e-32 4.013092e-32 100.00000
## Dim.741 2.119345e-32 4.013092e-32 100.00000
## Dim.742 2.119345e-32 4.013092e-32 100.00000
## Dim.743 2.119345e-32 4.013092e-32 100.00000
## Dim.744 2.119345e-32 4.013092e-32 100.00000
## Dim.745 2.119345e-32 4.013092e-32 100.00000
## Dim.746 2.119345e-32 4.013092e-32 100.00000
## Dim.747 2.119345e-32 4.013092e-32 100.00000
## Dim.748 2.119345e-32 4.013092e-32 100.00000
## Dim.749 2.119345e-32 4.013092e-32 100.00000
## Dim.750 2.119345e-32 4.013092e-32 100.00000
## Dim.751 2.119345e-32 4.013092e-32 100.00000
## Dim.752 2.119345e-32 4.013092e-32 100.00000
## Dim.753 2.119345e-32 4.013092e-32 100.00000
## Dim.754 2.119345e-32 4.013092e-32 100.00000
## Dim.755 2.119345e-32 4.013092e-32 100.00000
## Dim.756 2.119345e-32 4.013092e-32 100.00000
## Dim.757 2.119345e-32 4.013092e-32 100.00000
## Dim.758 2.119345e-32 4.013092e-32 100.00000
## Dim.759 2.119345e-32 4.013092e-32 100.00000
## Dim.760 2.119345e-32 4.013092e-32 100.00000
## Dim.761 2.119345e-32 4.013092e-32 100.00000
## Dim.762 2.119345e-32 4.013092e-32 100.00000
## Dim.763 2.119345e-32 4.013092e-32 100.00000
## Dim.764 2.119345e-32 4.013092e-32 100.00000
## Dim.765 2.119345e-32 4.013092e-32 100.00000
## Dim.766 2.119345e-32 4.013092e-32 100.00000
## Dim.767 2.119345e-32 4.013092e-32 100.00000
## Dim.768 2.119345e-32 4.013092e-32 100.00000
## Dim.769 2.119345e-32 4.013092e-32 100.00000
## Dim.770 2.119345e-32 4.013092e-32 100.00000
## Dim.771 2.119345e-32 4.013092e-32 100.00000
## Dim.772 2.119345e-32 4.013092e-32 100.00000
## Dim.773 2.119345e-32 4.013092e-32 100.00000
## Dim.774 2.119345e-32 4.013092e-32 100.00000
## Dim.775 2.119345e-32 4.013092e-32 100.00000
## Dim.776 2.119345e-32 4.013092e-32 100.00000
## Dim.777 2.108702e-32 3.992939e-32 100.00000
## Dim.778 2.103853e-32 3.983756e-32 100.00000
## Dim.779 1.148607e-32 2.174948e-32 100.00000
## Dim.780 1.021330e-32 1.933942e-32 100.00000
## Dim.781 8.052363e-33 1.524757e-32 100.00000
## Dim.782 4.353363e-33 8.243323e-33 100.00000
## Dim.783 2.502485e-33 4.738587e-33 100.00000
## Dim.784 7.356113e-34 1.392919e-33 100.00000# 100%
get_eigenvalue(pca) %>% filter(cumulative.variance.percent >=100)## eigenvalue variance.percent cumulative.variance.percent
## Dim.704 8.457604e-10 1.601492e-09 100
## Dim.705 5.674439e-30 1.074485e-29 100
## Dim.706 3.368167e-30 6.377801e-30 100
## Dim.707 2.586328e-30 4.897348e-30 100
## Dim.708 1.982751e-30 3.754444e-30 100
## Dim.709 1.597146e-30 3.024281e-30 100
## Dim.710 1.103431e-30 2.089404e-30 100
## Dim.711 1.009702e-30 1.911925e-30 100
## Dim.712 8.509803e-31 1.611376e-30 100
## Dim.713 6.376477e-31 1.207419e-30 100
## Dim.714 5.505719e-31 1.042537e-30 100
## Dim.715 4.296664e-31 8.135959e-31 100
## Dim.716 3.539994e-31 6.703165e-31 100
## Dim.717 3.466200e-31 6.563432e-31 100
## Dim.718 2.868525e-31 5.431703e-31 100
## Dim.719 2.702808e-31 5.117910e-31 100
## Dim.720 2.337841e-31 4.426824e-31 100
## Dim.721 2.110304e-31 3.995972e-31 100
## Dim.722 1.702734e-31 3.224217e-31 100
## Dim.723 1.609018e-31 3.046760e-31 100
## Dim.724 1.412426e-31 2.674503e-31 100
## Dim.725 1.321251e-31 2.501858e-31 100
## Dim.726 1.042883e-31 1.974754e-31 100
## Dim.727 1.017081e-31 1.925896e-31 100
## Dim.728 8.353771e-32 1.581831e-31 100
## Dim.729 7.434785e-32 1.407816e-31 100
## Dim.730 5.578020e-32 1.056227e-31 100
## Dim.731 5.031229e-32 9.526897e-32 100
## Dim.732 4.906087e-32 9.289935e-32 100
## Dim.733 4.313956e-32 8.168703e-32 100
## Dim.734 3.539269e-32 6.701792e-32 100
## Dim.735 2.708185e-32 5.128090e-32 100
## Dim.736 2.120517e-32 4.015310e-32 100
## Dim.737 2.119345e-32 4.013092e-32 100
## Dim.738 2.119345e-32 4.013092e-32 100
## Dim.739 2.119345e-32 4.013092e-32 100
## Dim.740 2.119345e-32 4.013092e-32 100
## Dim.741 2.119345e-32 4.013092e-32 100
## Dim.742 2.119345e-32 4.013092e-32 100
## Dim.743 2.119345e-32 4.013092e-32 100
## Dim.744 2.119345e-32 4.013092e-32 100
## Dim.745 2.119345e-32 4.013092e-32 100
## Dim.746 2.119345e-32 4.013092e-32 100
## Dim.747 2.119345e-32 4.013092e-32 100
## Dim.748 2.119345e-32 4.013092e-32 100
## Dim.749 2.119345e-32 4.013092e-32 100
## Dim.750 2.119345e-32 4.013092e-32 100
## Dim.751 2.119345e-32 4.013092e-32 100
## Dim.752 2.119345e-32 4.013092e-32 100
## Dim.753 2.119345e-32 4.013092e-32 100
## Dim.754 2.119345e-32 4.013092e-32 100
## Dim.755 2.119345e-32 4.013092e-32 100
## Dim.756 2.119345e-32 4.013092e-32 100
## Dim.757 2.119345e-32 4.013092e-32 100
## Dim.758 2.119345e-32 4.013092e-32 100
## Dim.759 2.119345e-32 4.013092e-32 100
## Dim.760 2.119345e-32 4.013092e-32 100
## Dim.761 2.119345e-32 4.013092e-32 100
## Dim.762 2.119345e-32 4.013092e-32 100
## Dim.763 2.119345e-32 4.013092e-32 100
## Dim.764 2.119345e-32 4.013092e-32 100
## Dim.765 2.119345e-32 4.013092e-32 100
## Dim.766 2.119345e-32 4.013092e-32 100
## Dim.767 2.119345e-32 4.013092e-32 100
## Dim.768 2.119345e-32 4.013092e-32 100
## Dim.769 2.119345e-32 4.013092e-32 100
## Dim.770 2.119345e-32 4.013092e-32 100
## Dim.771 2.119345e-32 4.013092e-32 100
## Dim.772 2.119345e-32 4.013092e-32 100
## Dim.773 2.119345e-32 4.013092e-32 100
## Dim.774 2.119345e-32 4.013092e-32 100
## Dim.775 2.119345e-32 4.013092e-32 100
## Dim.776 2.119345e-32 4.013092e-32 100
## Dim.777 2.108702e-32 3.992939e-32 100
## Dim.778 2.103853e-32 3.983756e-32 100
## Dim.779 1.148607e-32 2.174948e-32 100
## Dim.780 1.021330e-32 1.933942e-32 100
## Dim.781 8.052363e-33 1.524757e-32 100
## Dim.782 4.353363e-33 8.243323e-33 100
## Dim.783 2.502485e-33 4.738587e-33 100
## Dim.784 7.356113e-34 1.392919e-33 100I am not sure why the images become noise after pca. I guess it might be too much variety of hand writing, or it might be the problem of gray scale images.
# 95% variability
pc.use <- 154
train.pca <- pca$x[,1:pc.use] %*% t(pca$rotation[,1:pc.use])
#and add the center (and re-scale) back to data
if(pca$scale != FALSE){
train.pca <- scale(train.pca, center = FALSE , scale=1/pca$scale)
}
if(pca$center != FALSE){
train.pca <- scale(train.pca, center = -1 * pca$center, scale=FALSE)
}
# double check dimension with reduced data set
dim(train.pca)## [1] 42000 784# plot image
for(i in 1:10){
plot(1,1,xlim = c(1,28), ylim = c(1,28),xlab = '',ylab = '')
imageShow(array(train.pca[,i], c(28,28)))
}
100% variability in only label 8
around component 537, the variability reach 100%, the rest of components contribute almost 0 help for future analysis.
# only select label 8
label8 <- train %>% filter(label == 8)
# remove label column
label8 <- label8[,-1]
dim(label8)## [1] 4063 784# re-run pca
pca8 <- prcomp(label8/255)
get_eigenvalue(pca8) %>% filter(cumulative.variance.percent >=100)## eigenvalue variance.percent cumulative.variance.percent
## Dim.537 4.395426e-09 9.685809e-09 100
## Dim.538 3.816410e-30 8.409883e-30 100
## Dim.539 2.011075e-30 4.431628e-30 100
## Dim.540 1.607653e-30 3.542641e-30 100
## Dim.541 1.287280e-30 2.836664e-30 100
## Dim.542 1.236451e-30 2.724657e-30 100
## Dim.543 9.975618e-31 2.198238e-30 100
## Dim.544 8.912701e-31 1.964013e-30 100
## Dim.545 7.932767e-31 1.748073e-30 100
## Dim.546 7.582430e-31 1.670873e-30 100
## Dim.547 6.565918e-31 1.446873e-30 100
## Dim.548 6.385494e-31 1.407114e-30 100
## Dim.549 5.648088e-31 1.244619e-30 100
## Dim.550 5.439100e-31 1.198566e-30 100
## Dim.551 5.215521e-31 1.149298e-30 100
## Dim.552 4.394594e-31 9.683975e-31 100
## Dim.553 4.034848e-31 8.891234e-31 100
## Dim.554 3.536891e-31 7.793932e-31 100
## Dim.555 3.386679e-31 7.462923e-31 100
## Dim.556 3.185591e-31 7.019802e-31 100
## Dim.557 2.968751e-31 6.541972e-31 100
## Dim.558 2.842195e-31 6.263092e-31 100
## Dim.559 2.728797e-31 6.013207e-31 100
## Dim.560 2.529428e-31 5.573874e-31 100
## Dim.561 2.425758e-31 5.345427e-31 100
## Dim.562 2.296624e-31 5.060866e-31 100
## Dim.563 2.147460e-31 4.732166e-31 100
## Dim.564 2.008655e-31 4.426294e-31 100
## Dim.565 1.955587e-31 4.309353e-31 100
## Dim.566 1.866416e-31 4.112854e-31 100
## Dim.567 1.768614e-31 3.897337e-31 100
## Dim.568 1.693913e-31 3.732725e-31 100
## Dim.569 1.602522e-31 3.531335e-31 100
## Dim.570 1.509399e-31 3.326129e-31 100
## Dim.571 1.428242e-31 3.147290e-31 100
## Dim.572 1.356478e-31 2.989150e-31 100
## Dim.573 1.273820e-31 2.807004e-31 100
## Dim.574 1.253493e-31 2.762210e-31 100
## Dim.575 1.226697e-31 2.703163e-31 100
## Dim.576 1.156037e-31 2.547456e-31 100
## Dim.577 1.100438e-31 2.424937e-31 100
## Dim.578 1.026182e-31 2.261306e-31 100
## Dim.579 9.837653e-32 2.167836e-31 100
## Dim.580 9.565769e-32 2.107923e-31 100
## Dim.581 8.736522e-32 1.925190e-31 100
## Dim.582 7.822772e-32 1.723835e-31 100
## Dim.583 7.777734e-32 1.713910e-31 100
## Dim.584 7.636116e-32 1.682703e-31 100
## Dim.585 7.496480e-32 1.651933e-31 100
## Dim.586 6.650845e-32 1.465587e-31 100
## Dim.587 6.546789e-32 1.442658e-31 100
## Dim.588 6.269633e-32 1.381583e-31 100
## Dim.589 6.057247e-32 1.334781e-31 100
## Dim.590 5.785553e-32 1.274911e-31 100
## Dim.591 4.961046e-32 1.093221e-31 100
## Dim.592 4.434797e-32 9.772567e-32 100
## Dim.593 4.110173e-32 9.057222e-32 100
## Dim.594 3.631163e-32 8.001671e-32 100
## Dim.595 3.427461e-32 7.552790e-32 100
## Dim.596 3.148924e-32 6.939003e-32 100
## Dim.597 2.744734e-32 6.048325e-32 100
## Dim.598 2.267530e-32 4.996754e-32 100
## Dim.599 2.006184e-32 4.420850e-32 100
## Dim.600 1.945828e-32 4.287847e-32 100
## Dim.601 1.945828e-32 4.287847e-32 100
## Dim.602 1.945828e-32 4.287847e-32 100
## Dim.603 1.945828e-32 4.287847e-32 100
## Dim.604 1.945828e-32 4.287847e-32 100
## Dim.605 1.945828e-32 4.287847e-32 100
## Dim.606 1.945828e-32 4.287847e-32 100
## Dim.607 1.945828e-32 4.287847e-32 100
## Dim.608 1.945828e-32 4.287847e-32 100
## Dim.609 1.945828e-32 4.287847e-32 100
## Dim.610 1.945828e-32 4.287847e-32 100
## Dim.611 1.945828e-32 4.287847e-32 100
## Dim.612 1.945828e-32 4.287847e-32 100
## Dim.613 1.945828e-32 4.287847e-32 100
## Dim.614 1.945828e-32 4.287847e-32 100
## Dim.615 1.945828e-32 4.287847e-32 100
## Dim.616 1.945828e-32 4.287847e-32 100
## Dim.617 1.945828e-32 4.287847e-32 100
## Dim.618 1.945828e-32 4.287847e-32 100
## Dim.619 1.945828e-32 4.287847e-32 100
## Dim.620 1.945828e-32 4.287847e-32 100
## Dim.621 1.945828e-32 4.287847e-32 100
## Dim.622 1.945828e-32 4.287847e-32 100
## Dim.623 1.945828e-32 4.287847e-32 100
## Dim.624 1.945828e-32 4.287847e-32 100
## Dim.625 1.945828e-32 4.287847e-32 100
## Dim.626 1.945828e-32 4.287847e-32 100
## Dim.627 1.945828e-32 4.287847e-32 100
## Dim.628 1.945828e-32 4.287847e-32 100
## Dim.629 1.945828e-32 4.287847e-32 100
## Dim.630 1.945828e-32 4.287847e-32 100
## Dim.631 1.945828e-32 4.287847e-32 100
## Dim.632 1.945828e-32 4.287847e-32 100
## Dim.633 1.945828e-32 4.287847e-32 100
## Dim.634 1.945828e-32 4.287847e-32 100
## Dim.635 1.945828e-32 4.287847e-32 100
## Dim.636 1.945828e-32 4.287847e-32 100
## Dim.637 1.945828e-32 4.287847e-32 100
## Dim.638 1.945828e-32 4.287847e-32 100
## Dim.639 1.945828e-32 4.287847e-32 100
## Dim.640 1.945828e-32 4.287847e-32 100
## Dim.641 1.945828e-32 4.287847e-32 100
## Dim.642 1.945828e-32 4.287847e-32 100
## Dim.643 1.945828e-32 4.287847e-32 100
## Dim.644 1.945828e-32 4.287847e-32 100
## Dim.645 1.945828e-32 4.287847e-32 100
## Dim.646 1.945828e-32 4.287847e-32 100
## Dim.647 1.945828e-32 4.287847e-32 100
## Dim.648 1.945828e-32 4.287847e-32 100
## Dim.649 1.945828e-32 4.287847e-32 100
## Dim.650 1.945828e-32 4.287847e-32 100
## Dim.651 1.945828e-32 4.287847e-32 100
## Dim.652 1.945828e-32 4.287847e-32 100
## Dim.653 1.945828e-32 4.287847e-32 100
## Dim.654 1.945828e-32 4.287847e-32 100
## Dim.655 1.945828e-32 4.287847e-32 100
## Dim.656 1.945828e-32 4.287847e-32 100
## Dim.657 1.945828e-32 4.287847e-32 100
## Dim.658 1.945828e-32 4.287847e-32 100
## Dim.659 1.945828e-32 4.287847e-32 100
## Dim.660 1.945828e-32 4.287847e-32 100
## Dim.661 1.945828e-32 4.287847e-32 100
## Dim.662 1.945828e-32 4.287847e-32 100
## Dim.663 1.945828e-32 4.287847e-32 100
## Dim.664 1.945828e-32 4.287847e-32 100
## Dim.665 1.945828e-32 4.287847e-32 100
## Dim.666 1.945828e-32 4.287847e-32 100
## Dim.667 1.945828e-32 4.287847e-32 100
## Dim.668 1.945828e-32 4.287847e-32 100
## Dim.669 1.945828e-32 4.287847e-32 100
## Dim.670 1.945828e-32 4.287847e-32 100
## Dim.671 1.945828e-32 4.287847e-32 100
## Dim.672 1.945828e-32 4.287847e-32 100
## Dim.673 1.945828e-32 4.287847e-32 100
## Dim.674 1.945828e-32 4.287847e-32 100
## Dim.675 1.945828e-32 4.287847e-32 100
## Dim.676 1.945828e-32 4.287847e-32 100
## Dim.677 1.945828e-32 4.287847e-32 100
## Dim.678 1.945828e-32 4.287847e-32 100
## Dim.679 1.945828e-32 4.287847e-32 100
## Dim.680 1.945828e-32 4.287847e-32 100
## Dim.681 1.945828e-32 4.287847e-32 100
## Dim.682 1.945828e-32 4.287847e-32 100
## Dim.683 1.945828e-32 4.287847e-32 100
## Dim.684 1.945828e-32 4.287847e-32 100
## Dim.685 1.945828e-32 4.287847e-32 100
## Dim.686 1.945828e-32 4.287847e-32 100
## Dim.687 1.945828e-32 4.287847e-32 100
## Dim.688 1.945828e-32 4.287847e-32 100
## Dim.689 1.945828e-32 4.287847e-32 100
## Dim.690 1.945828e-32 4.287847e-32 100
## Dim.691 1.945828e-32 4.287847e-32 100
## Dim.692 1.945828e-32 4.287847e-32 100
## Dim.693 1.945828e-32 4.287847e-32 100
## Dim.694 1.945828e-32 4.287847e-32 100
## Dim.695 1.945828e-32 4.287847e-32 100
## Dim.696 1.945828e-32 4.287847e-32 100
## Dim.697 1.945828e-32 4.287847e-32 100
## Dim.698 1.945828e-32 4.287847e-32 100
## Dim.699 1.945828e-32 4.287847e-32 100
## Dim.700 1.945828e-32 4.287847e-32 100
## Dim.701 1.945828e-32 4.287847e-32 100
## Dim.702 1.945828e-32 4.287847e-32 100
## Dim.703 1.945828e-32 4.287847e-32 100
## Dim.704 1.945828e-32 4.287847e-32 100
## Dim.705 1.945828e-32 4.287847e-32 100
## Dim.706 1.945828e-32 4.287847e-32 100
## Dim.707 1.945828e-32 4.287847e-32 100
## Dim.708 1.945828e-32 4.287847e-32 100
## Dim.709 1.945828e-32 4.287847e-32 100
## Dim.710 1.945828e-32 4.287847e-32 100
## Dim.711 1.945828e-32 4.287847e-32 100
## Dim.712 1.945828e-32 4.287847e-32 100
## Dim.713 1.945828e-32 4.287847e-32 100
## Dim.714 1.945828e-32 4.287847e-32 100
## Dim.715 1.945828e-32 4.287847e-32 100
## Dim.716 1.945828e-32 4.287847e-32 100
## Dim.717 1.945828e-32 4.287847e-32 100
## Dim.718 1.945828e-32 4.287847e-32 100
## Dim.719 1.945828e-32 4.287847e-32 100
## Dim.720 1.945828e-32 4.287847e-32 100
## Dim.721 1.945828e-32 4.287847e-32 100
## Dim.722 1.945828e-32 4.287847e-32 100
## Dim.723 1.945828e-32 4.287847e-32 100
## Dim.724 1.945828e-32 4.287847e-32 100
## Dim.725 1.945828e-32 4.287847e-32 100
## Dim.726 1.945828e-32 4.287847e-32 100
## Dim.727 1.945828e-32 4.287847e-32 100
## Dim.728 1.945828e-32 4.287847e-32 100
## Dim.729 1.945828e-32 4.287847e-32 100
## Dim.730 1.945828e-32 4.287847e-32 100
## Dim.731 1.945828e-32 4.287847e-32 100
## Dim.732 1.945828e-32 4.287847e-32 100
## Dim.733 1.945828e-32 4.287847e-32 100
## Dim.734 1.945828e-32 4.287847e-32 100
## Dim.735 1.945828e-32 4.287847e-32 100
## Dim.736 1.945828e-32 4.287847e-32 100
## Dim.737 1.945828e-32 4.287847e-32 100
## Dim.738 1.945828e-32 4.287847e-32 100
## Dim.739 1.945828e-32 4.287847e-32 100
## Dim.740 1.945828e-32 4.287847e-32 100
## Dim.741 1.945828e-32 4.287847e-32 100
## Dim.742 1.945828e-32 4.287847e-32 100
## Dim.743 1.945828e-32 4.287847e-32 100
## Dim.744 1.945828e-32 4.287847e-32 100
## Dim.745 1.945828e-32 4.287847e-32 100
## Dim.746 1.945828e-32 4.287847e-32 100
## Dim.747 1.945828e-32 4.287847e-32 100
## Dim.748 1.945828e-32 4.287847e-32 100
## Dim.749 1.945828e-32 4.287847e-32 100
## Dim.750 1.945828e-32 4.287847e-32 100
## Dim.751 1.945828e-32 4.287847e-32 100
## Dim.752 1.945828e-32 4.287847e-32 100
## Dim.753 1.945828e-32 4.287847e-32 100
## Dim.754 1.945828e-32 4.287847e-32 100
## Dim.755 1.945828e-32 4.287847e-32 100
## Dim.756 1.945828e-32 4.287847e-32 100
## Dim.757 1.945828e-32 4.287847e-32 100
## Dim.758 1.945828e-32 4.287847e-32 100
## Dim.759 1.945828e-32 4.287847e-32 100
## Dim.760 1.945828e-32 4.287847e-32 100
## Dim.761 1.945828e-32 4.287847e-32 100
## Dim.762 1.945828e-32 4.287847e-32 100
## Dim.763 1.945828e-32 4.287847e-32 100
## Dim.764 1.945828e-32 4.287847e-32 100
## Dim.765 1.945828e-32 4.287847e-32 100
## Dim.766 1.945828e-32 4.287847e-32 100
## Dim.767 1.945828e-32 4.287847e-32 100
## Dim.768 1.945828e-32 4.287847e-32 100
## Dim.769 1.931881e-32 4.257115e-32 100
## Dim.770 1.675140e-32 3.691356e-32 100
## Dim.771 1.540955e-32 3.395664e-32 100
## Dim.772 1.316651e-32 2.901387e-32 100
## Dim.773 1.185842e-32 2.613134e-32 100
## Dim.774 1.016390e-32 2.239729e-32 100
## Dim.775 7.994529e-33 1.761683e-32 100
## Dim.776 7.046197e-33 1.552708e-32 100
## Dim.777 7.020724e-33 1.547094e-32 100
## Dim.778 5.433446e-33 1.197320e-32 100
## Dim.779 4.410670e-33 9.719400e-33 100
## Dim.780 3.676704e-33 8.102026e-33 100
## Dim.781 2.145522e-33 4.727895e-33 100
## Dim.782 1.130945e-33 2.492162e-33 100
## Dim.783 4.047534e-34 8.919191e-34 100
## Dim.784 6.239398e-35 1.374921e-34 100compute reduced dataset with only label8
# 100% variability
pca8.use <- 537
im8.pca <- pca8$x[,1:pca8.use] %*%t(pca8$rotation[,1:pca8.use])
if(pca8$scale != FALSE){
im8.pca <- scale(im8.pca, center = FALSE , scale=1/pca8$scale)
}
if(pca8$center != FALSE){
im8.pca <- scale(im8.pca, center = -1 * pca8$center, scale=FALSE)
}
for(i in 1:10){
plot(1,1,xlim = c(1,28), ylim = c(1,28),xlab = '',ylab = '')
imageShow(array(im8.pca[,i], c(28,28)))
}
Multinomial classification
build model
library(nnet)
# use label to do classification
train[,1] <- as.factor(train[,1])#
multinomial_model <-multinom(label ~ ., data = train, MaxNWts = 10000)## # weights: 7860 (7065 variable)
## initial value 96708.573906
## iter 10 value 27932.238987
## iter 20 value 22901.936560
## iter 30 value 21677.526948
## iter 40 value 21254.278400
## iter 50 value 21077.662091
## iter 60 value 21002.266892
## iter 70 value 20928.779026
## iter 80 value 20866.883697
## iter 90 value 20792.605325
## iter 100 value 20727.274628
## final value 20727.274628
## stopped after 100 iterationsprediction
according to the sensitivity in confusion matrix, the model doesn’t predict label5 well, the rest of labels are fine, they are all greater than 80%.
library(caret)
# prediction
prediction <- predict(multinomial_model, newdata = train, 'class')
# confusion matrix
confusionMatrix(prediction, train$label)## Confusion Matrix and Statistics
##
## Reference
## Prediction 0 1 2 3 4 5 6 7 8 9
## 0 3953 0 10 5 11 24 43 6 16 13
## 1 24 4605 146 96 83 77 54 113 397 83
## 2 17 12 3639 76 36 18 72 38 21 14
## 3 9 13 73 3762 11 88 3 7 66 51
## 4 8 4 26 3 3448 12 17 21 18 63
## 5 27 13 21 183 55 3283 101 13 178 46
## 6 10 2 13 6 24 44 3769 4 13 0
## 7 35 13 111 91 18 51 10 4053 35 179
## 8 38 22 111 91 47 141 41 7 3247 25
## 9 11 0 27 38 339 57 27 139 72 3714
##
## Overall Statistics
##
## Accuracy : 0.8922
## 95% CI : (0.8892, 0.8952)
## No Information Rate : 0.1115
## P-Value [Acc > NIR] : < 2.2e-16
##
## Kappa : 0.8802
##
## Mcnemar's Test P-Value : < 2.2e-16
##
## Statistics by Class:
##
## Class: 0 Class: 1 Class: 2 Class: 3 Class: 4 Class: 5
## Sensitivity 0.95668 0.9831 0.87120 0.86463 0.84676 0.86509
## Specificity 0.99662 0.9712 0.99196 0.99147 0.99547 0.98333
## Pos Pred Value 0.96864 0.8110 0.92290 0.92138 0.95249 0.83750
## Neg Pred Value 0.99528 0.9978 0.98586 0.98447 0.98374 0.98655
## Prevalence 0.09838 0.1115 0.09945 0.10360 0.09695 0.09036
## Detection Rate 0.09412 0.1096 0.08664 0.08957 0.08210 0.07817
## Detection Prevalence 0.09717 0.1352 0.09388 0.09721 0.08619 0.09333
## Balanced Accuracy 0.97665 0.9772 0.93158 0.92805 0.92111 0.92421
## Class: 6 Class: 7 Class: 8 Class: 9
## Sensitivity 0.91105 0.9209 0.79916 0.88682
## Specificity 0.99694 0.9856 0.98621 0.98122
## Pos Pred Value 0.97014 0.8819 0.86127 0.83951
## Neg Pred Value 0.99035 0.9907 0.97866 0.98739
## Prevalence 0.09850 0.1048 0.09674 0.09971
## Detection Rate 0.08974 0.0965 0.07731 0.08843
## Detection Prevalence 0.09250 0.1094 0.08976 0.10533
## Balanced Accuracy 0.95399 0.9532 0.89269 0.93402