Clustering MNIST
mnist <- read.csv("mnist_train.csv")ncol(mnist)## [1] 785nrow(mnist)## [1] 60000colnames(mnist)## [1] "label" "X1x1" "X1x2" "X1x3" "X1x4" "X1x5" "X1x6"
## [8] "X1x7" "X1x8" "X1x9" "X1x10" "X1x11" "X1x12" "X1x13"
## [15] "X1x14" "X1x15" "X1x16" "X1x17" "X1x18" "X1x19" "X1x20"
## [22] "X1x21" "X1x22" "X1x23" "X1x24" "X1x25" "X1x26" "X1x27"
## [29] "X1x28" "X2x1" "X2x2" "X2x3" "X2x4" "X2x5" "X2x6"
## [36] "X2x7" "X2x8" "X2x9" "X2x10" "X2x11" "X2x12" "X2x13"
## [43] "X2x14" "X2x15" "X2x16" "X2x17" "X2x18" "X2x19" "X2x20"
## [50] "X2x21" "X2x22" "X2x23" "X2x24" "X2x25" "X2x26" "X2x27"
## [57] "X2x28" "X3x1" "X3x2" "X3x3" "X3x4" "X3x5" "X3x6"
## [64] "X3x7" "X3x8" "X3x9" "X3x10" "X3x11" "X3x12" "X3x13"
## [71] "X3x14" "X3x15" "X3x16" "X3x17" "X3x18" "X3x19" "X3x20"
## [78] "X3x21" "X3x22" "X3x23" "X3x24" "X3x25" "X3x26" "X3x27"
## [85] "X3x28" "X4x1" "X4x2" "X4x3" "X4x4" "X4x5" "X4x6"
## [92] "X4x7" "X4x8" "X4x9" "X4x10" "X4x11" "X4x12" "X4x13"
## [99] "X4x14" "X4x15" "X4x16" "X4x17" "X4x18" "X4x19" "X4x20"
## [106] "X4x21" "X4x22" "X4x23" "X4x24" "X4x25" "X4x26" "X4x27"
## [113] "X4x28" "X5x1" "X5x2" "X5x3" "X5x4" "X5x5" "X5x6"
## [120] "X5x7" "X5x8" "X5x9" "X5x10" "X5x11" "X5x12" "X5x13"
## [127] "X5x14" "X5x15" "X5x16" "X5x17" "X5x18" "X5x19" "X5x20"
## [134] "X5x21" "X5x22" "X5x23" "X5x24" "X5x25" "X5x26" "X5x27"
## [141] "X5x28" "X6x1" "X6x2" "X6x3" "X6x4" "X6x5" "X6x6"
## [148] "X6x7" "X6x8" "X6x9" "X6x10" "X6x11" "X6x12" "X6x13"
## [155] "X6x14" "X6x15" "X6x16" "X6x17" "X6x18" "X6x19" "X6x20"
## [162] "X6x21" "X6x22" "X6x23" "X6x24" "X6x25" "X6x26" "X6x27"
## [169] "X6x28" "X7x1" "X7x2" "X7x3" "X7x4" "X7x5" "X7x6"
## [176] "X7x7" "X7x8" "X7x9" "X7x10" "X7x11" "X7x12" "X7x13"
## [183] "X7x14" "X7x15" "X7x16" "X7x17" "X7x18" "X7x19" "X7x20"
## [190] "X7x21" "X7x22" "X7x23" "X7x24" "X7x25" "X7x26" "X7x27"
## [197] "X7x28" "X8x1" "X8x2" "X8x3" "X8x4" "X8x5" "X8x6"
## [204] "X8x7" "X8x8" "X8x9" "X8x10" "X8x11" "X8x12" "X8x13"
## [211] "X8x14" "X8x15" "X8x16" "X8x17" "X8x18" "X8x19" "X8x20"
## [218] "X8x21" "X8x22" "X8x23" "X8x24" "X8x25" "X8x26" "X8x27"
## [225] "X8x28" "X9x1" "X9x2" "X9x3" "X9x4" "X9x5" "X9x6"
## [232] "X9x7" "X9x8" "X9x9" "X9x10" "X9x11" "X9x12" "X9x13"
## [239] "X9x14" "X9x15" "X9x16" "X9x17" "X9x18" "X9x19" "X9x20"
## [246] "X9x21" "X9x22" "X9x23" "X9x24" "X9x25" "X9x26" "X9x27"
## [253] "X9x28" "X10x1" "X10x2" "X10x3" "X10x4" "X10x5" "X10x6"
## [260] "X10x7" "X10x8" "X10x9" "X10x10" "X10x11" "X10x12" "X10x13"
## [267] "X10x14" "X10x15" "X10x16" "X10x17" "X10x18" "X10x19" "X10x20"
## [274] "X10x21" "X10x22" "X10x23" "X10x24" "X10x25" "X10x26" "X10x27"
## [281] "X10x28" "X11x1" "X11x2" "X11x3" "X11x4" "X11x5" "X11x6"
## [288] "X11x7" "X11x8" "X11x9" "X11x10" "X11x11" "X11x12" "X11x13"
## [295] "X11x14" "X11x15" "X11x16" "X11x17" "X11x18" "X11x19" "X11x20"
## [302] "X11x21" "X11x22" "X11x23" "X11x24" "X11x25" "X11x26" "X11x27"
## [309] "X11x28" "X12x1" "X12x2" "X12x3" "X12x4" "X12x5" "X12x6"
## [316] "X12x7" "X12x8" "X12x9" "X12x10" "X12x11" "X12x12" "X12x13"
## [323] "X12x14" "X12x15" "X12x16" "X12x17" "X12x18" "X12x19" "X12x20"
## [330] "X12x21" "X12x22" "X12x23" "X12x24" "X12x25" "X12x26" "X12x27"
## [337] "X12x28" "X13x1" "X13x2" "X13x3" "X13x4" "X13x5" "X13x6"
## [344] "X13x7" "X13x8" "X13x9" "X13x10" "X13x11" "X13x12" "X13x13"
## [351] "X13x14" "X13x15" "X13x16" "X13x17" "X13x18" "X13x19" "X13x20"
## [358] "X13x21" "X13x22" "X13x23" "X13x24" "X13x25" "X13x26" "X13x27"
## [365] "X13x28" "X14x1" "X14x2" "X14x3" "X14x4" "X14x5" "X14x6"
## [372] "X14x7" "X14x8" "X14x9" "X14x10" "X14x11" "X14x12" "X14x13"
## [379] "X14x14" "X14x15" "X14x16" "X14x17" "X14x18" "X14x19" "X14x20"
## [386] "X14x21" "X14x22" "X14x23" "X14x24" "X14x25" "X14x26" "X14x27"
## [393] "X14x28" "X15x1" "X15x2" "X15x3" "X15x4" "X15x5" "X15x6"
## [400] "X15x7" "X15x8" "X15x9" "X15x10" "X15x11" "X15x12" "X15x13"
## [407] "X15x14" "X15x15" "X15x16" "X15x17" "X15x18" "X15x19" "X15x20"
## [414] "X15x21" "X15x22" "X15x23" "X15x24" "X15x25" "X15x26" "X15x27"
## [421] "X15x28" "X16x1" "X16x2" "X16x3" "X16x4" "X16x5" "X16x6"
## [428] "X16x7" "X16x8" "X16x9" "X16x10" "X16x11" "X16x12" "X16x13"
## [435] "X16x14" "X16x15" "X16x16" "X16x17" "X16x18" "X16x19" "X16x20"
## [442] "X16x21" "X16x22" "X16x23" "X16x24" "X16x25" "X16x26" "X16x27"
## [449] "X16x28" "X17x1" "X17x2" "X17x3" "X17x4" "X17x5" "X17x6"
## [456] "X17x7" "X17x8" "X17x9" "X17x10" "X17x11" "X17x12" "X17x13"
## [463] "X17x14" "X17x15" "X17x16" "X17x17" "X17x18" "X17x19" "X17x20"
## [470] "X17x21" "X17x22" "X17x23" "X17x24" "X17x25" "X17x26" "X17x27"
## [477] "X17x28" "X18x1" "X18x2" "X18x3" "X18x4" "X18x5" "X18x6"
## [484] "X18x7" "X18x8" "X18x9" "X18x10" "X18x11" "X18x12" "X18x13"
## [491] "X18x14" "X18x15" "X18x16" "X18x17" "X18x18" "X18x19" "X18x20"
## [498] "X18x21" "X18x22" "X18x23" "X18x24" "X18x25" "X18x26" "X18x27"
## [505] "X18x28" "X19x1" "X19x2" "X19x3" "X19x4" "X19x5" "X19x6"
## [512] "X19x7" "X19x8" "X19x9" "X19x10" "X19x11" "X19x12" "X19x13"
## [519] "X19x14" "X19x15" "X19x16" "X19x17" "X19x18" "X19x19" "X19x20"
## [526] "X19x21" "X19x22" "X19x23" "X19x24" "X19x25" "X19x26" "X19x27"
## [533] "X19x28" "X20x1" "X20x2" "X20x3" "X20x4" "X20x5" "X20x6"
## [540] "X20x7" "X20x8" "X20x9" "X20x10" "X20x11" "X20x12" "X20x13"
## [547] "X20x14" "X20x15" "X20x16" "X20x17" "X20x18" "X20x19" "X20x20"
## [554] "X20x21" "X20x22" "X20x23" "X20x24" "X20x25" "X20x26" "X20x27"
## [561] "X20x28" "X21x1" "X21x2" "X21x3" "X21x4" "X21x5" "X21x6"
## [568] "X21x7" "X21x8" "X21x9" "X21x10" "X21x11" "X21x12" "X21x13"
## [575] "X21x14" "X21x15" "X21x16" "X21x17" "X21x18" "X21x19" "X21x20"
## [582] "X21x21" "X21x22" "X21x23" "X21x24" "X21x25" "X21x26" "X21x27"
## [589] "X21x28" "X22x1" "X22x2" "X22x3" "X22x4" "X22x5" "X22x6"
## [596] "X22x7" "X22x8" "X22x9" "X22x10" "X22x11" "X22x12" "X22x13"
## [603] "X22x14" "X22x15" "X22x16" "X22x17" "X22x18" "X22x19" "X22x20"
## [610] "X22x21" "X22x22" "X22x23" "X22x24" "X22x25" "X22x26" "X22x27"
## [617] "X22x28" "X23x1" "X23x2" "X23x3" "X23x4" "X23x5" "X23x6"
## [624] "X23x7" "X23x8" "X23x9" "X23x10" "X23x11" "X23x12" "X23x13"
## [631] "X23x14" "X23x15" "X23x16" "X23x17" "X23x18" "X23x19" "X23x20"
## [638] "X23x21" "X23x22" "X23x23" "X23x24" "X23x25" "X23x26" "X23x27"
## [645] "X23x28" "X24x1" "X24x2" "X24x3" "X24x4" "X24x5" "X24x6"
## [652] "X24x7" "X24x8" "X24x9" "X24x10" "X24x11" "X24x12" "X24x13"
## [659] "X24x14" "X24x15" "X24x16" "X24x17" "X24x18" "X24x19" "X24x20"
## [666] "X24x21" "X24x22" "X24x23" "X24x24" "X24x25" "X24x26" "X24x27"
## [673] "X24x28" "X25x1" "X25x2" "X25x3" "X25x4" "X25x5" "X25x6"
## [680] "X25x7" "X25x8" "X25x9" "X25x10" "X25x11" "X25x12" "X25x13"
## [687] "X25x14" "X25x15" "X25x16" "X25x17" "X25x18" "X25x19" "X25x20"
## [694] "X25x21" "X25x22" "X25x23" "X25x24" "X25x25" "X25x26" "X25x27"
## [701] "X25x28" "X26x1" "X26x2" "X26x3" "X26x4" "X26x5" "X26x6"
## [708] "X26x7" "X26x8" "X26x9" "X26x10" "X26x11" "X26x12" "X26x13"
## [715] "X26x14" "X26x15" "X26x16" "X26x17" "X26x18" "X26x19" "X26x20"
## [722] "X26x21" "X26x22" "X26x23" "X26x24" "X26x25" "X26x26" "X26x27"
## [729] "X26x28" "X27x1" "X27x2" "X27x3" "X27x4" "X27x5" "X27x6"
## [736] "X27x7" "X27x8" "X27x9" "X27x10" "X27x11" "X27x12" "X27x13"
## [743] "X27x14" "X27x15" "X27x16" "X27x17" "X27x18" "X27x19" "X27x20"
## [750] "X27x21" "X27x22" "X27x23" "X27x24" "X27x25" "X27x26" "X27x27"
## [757] "X27x28" "X28x1" "X28x2" "X28x3" "X28x4" "X28x5" "X28x6"
## [764] "X28x7" "X28x8" "X28x9" "X28x10" "X28x11" "X28x12" "X28x13"
## [771] "X28x14" "X28x15" "X28x16" "X28x17" "X28x18" "X28x19" "X28x20"
## [778] "X28x21" "X28x22" "X28x23" "X28x24" "X28x25" "X28x26" "X28x27"
## [785] "X28x28"Dataset contains 28X28 pixels of images and a label column
Representation of a image
visualize_image <- function(input){
temp <- matrix(as.numeric(input), 28, 28)
temp <- temp[,ncol(temp):1]
return( image(temp, axes = FALSE, col=gray((0:255)/255),useRaster = T))
}apply(mnist[1:10,-1],1,visualize_image)
## NULLLabel for the above image
mnist[1,1]## [1] 5mnist_1n8 <- mnist[mnist[1]==1 | mnist[1]==8,]12593 observations of 785 variables
For clustering, we remove the label attribute
mnist_1n8_nolabel <- mnist_1n8[,-1]784 observations (pixels : 28x28)
clus <- kmeans(mnist_1n8_nolabel, centers = 2, iter.max = 50, nstart = 50)head(clus$cluster)## 4 7 9 15 18 24
## 1 1 1 1 2 1Changing the cluster label 2 to 8 and attaching to actual data
mnist_1n8$clabel <- clus$cluster
mnist_1n8$clabel[mnist_1n8$clabel==2] <- 8summary(as.factor(mnist_1n8$label))## 1 8
## 6742 5851summary(as.factor(mnist_1n8$clabel))## 1 8
## 7164 5429Visualizing misclassified points
misclassified <- mnist[mnist_1n8$label != mnist_1n8$clabel,]
head(misclassified)## label X1x1 X1x2 X1x3 X1x4 X1x5 X1x6 X1x7 X1x8 X1x9 X1x10 X1x11 X1x12
## 31 3 0 0 0 0 0 0 0 0 0 0 0 0
## 48 5 0 0 0 0 0 0 0 0 0 0 0 0
## 51 3 0 0 0 0 0 0 0 0 0 0 0 0
## 61 4 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 9 0 0 0 0 0 0 0 0 0 0 0 0
## X1x13 X1x14 X1x15 X1x16 X1x17 X1x18 X1x19 X1x20 X1x21 X1x22 X1x23 X1x24
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X1x25 X1x26 X1x27 X1x28 X2x1 X2x2 X2x3 X2x4 X2x5 X2x6 X2x7 X2x8 X2x9
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0 0
## X2x10 X2x11 X2x12 X2x13 X2x14 X2x15 X2x16 X2x17 X2x18 X2x19 X2x20 X2x21
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X2x22 X2x23 X2x24 X2x25 X2x26 X2x27 X2x28 X3x1 X3x2 X3x3 X3x4 X3x5 X3x6
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0 0
## X3x7 X3x8 X3x9 X3x10 X3x11 X3x12 X3x13 X3x14 X3x15 X3x16 X3x17 X3x18
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X3x19 X3x20 X3x21 X3x22 X3x23 X3x24 X3x25 X3x26 X3x27 X3x28 X4x1 X4x2
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X4x3 X4x4 X4x5 X4x6 X4x7 X4x8 X4x9 X4x10 X4x11 X4x12 X4x13 X4x14 X4x15
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0 0
## X4x16 X4x17 X4x18 X4x19 X4x20 X4x21 X4x22 X4x23 X4x24 X4x25 X4x26 X4x27
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X4x28 X5x1 X5x2 X5x3 X5x4 X5x5 X5x6 X5x7 X5x8 X5x9 X5x10 X5x11 X5x12
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 12 56
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0 0
## X5x13 X5x14 X5x15 X5x16 X5x17 X5x18 X5x19 X5x20 X5x21 X5x22 X5x23 X5x24
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 140 126 175 200 96 2 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X5x25 X5x26 X5x27 X5x28 X6x1 X6x2 X6x3 X6x4 X6x5 X6x6 X6x7 X6x8 X6x9
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 35
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0 0
## X6x10 X6x11 X6x12 X6x13 X6x14 X6x15 X6x16 X6x17 X6x18 X6x19 X6x20 X6x21
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 166 238 254 246 242 253 246 254 67 0 0 0
## 61 53 0 0 0 0 0 0 0 0 0 84 21
## 76 0 0 0 0 0 62 91 213 255 228 91 12
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X6x22 X6x23 X6x24 X6x25 X6x26 X6x27 X6x28 X7x1 X7x2 X7x3 X7x4 X7x5 X7x6
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0 0
## X7x7 X7x8 X7x9 X7x10 X7x11 X7x12 X7x13 X7x14 X7x15 X7x16 X7x17 X7x18
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 184 182 146 127 70 30 45 36 215 175
## 61 0 0 71 235 213 5 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 70 230 253 253 253
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X7x19 X7x20 X7x21 X7x22 X7x23 X7x24 X7x25 X7x26 X7x27 X7x28 X8x1 X8x2
## 31 0 0 0 0 0 0 0 0 0 0 0 0
## 48 128 128 255 255 255 255 255 64 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0
## 61 88 248 169 0 0 0 0 0 0 0 0 0
## 76 253 253 152 7 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X8x3 X8x4 X8x5 X8x6 X8x7 X8x8 X8x9 X8x10 X8x11 X8x12 X8x13 X8x14 X8x15
## 31 0 0 0 11 19 95 143 143 143 143 143 143 143
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 30 0 0 0 0 0 0
## 61 0 0 0 0 0 72 234 253 253 6 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0 246 253
## 88 0 0 0 0 0 0 0 0 0 0 39 125 225
## X8x16 X8x17 X8x18 X8x19 X8x20 X8x21 X8x22 X8x23 X8x24 X8x25 X8x26 X8x27
## 31 143 33 0 0 0 0 0 0 0 0 0 0
## 48 0 128 255 255 255 255 255 255 255 255 255 0
## 51 0 207 246 14 0 0 0 0 0 0 0 0
## 61 0 0 0 81 246 238 161 0 0 0 0 0
## 76 253 253 253 253 253 253 106 0 0 0 0 0
## 88 254 254 255 254 170 48 0 0 0 0 0 0
## X8x28 X9x1 X9x2 X9x3 X9x4 X9x5 X9x6 X9x7 X9x8 X9x9 X9x10 X9x11 X9x12
## 31 0 0 0 0 90 149 208 253 253 253 253 253 253
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 11 201 253 251 147 2
## 76 0 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 43 101
## X9x13 X9x14 X9x15 X9x16 X9x17 X9x18 X9x19 X9x20 X9x21 X9x22 X9x23 X9x24
## 31 253 253 253 253 217 22 0 0 0 0 0 0
## 48 0 0 0 64 255 255 255 255 255 255 255 191
## 51 0 0 0 55 251 169 1 0 0 0 0 0
## 61 0 0 0 0 0 0 0 220 253 217 13 0
## 76 21 247 253 253 253 253 253 253 208 24 0 0
## 88 250 253 253 253 253 253 253 253 250 161 0 0
## X9x25 X9x26 X9x27 X9x28 X10x1 X10x2 X10x3 X10x4 X10x5 X10x6 X10x7 X10x8
## 31 0 0 0 0 0 0 0 255 253 251 222 222
## 48 128 128 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 158 253
## 76 0 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0 0
## X10x9 X10x10 X10x11 X10x12 X10x13 X10x14 X10x15 X10x16 X10x17 X10x18
## 31 161 140 99 99 99 99 143 253 253 113
## 48 0 0 0 0 0 0 0 255 255 191
## 51 0 0 0 0 0 0 11 215 232 20
## 61 253 157 0 0 0 0 0 0 0 0
## 76 0 0 0 0 156 253 253 253 253 253
## 88 0 94 246 247 253 253 196 227 116 56
## X10x19 X10x20 X10x21 X10x22 X10x23 X10x24 X10x25 X10x26 X10x27 X10x28
## 31 0 0 0 0 0 0 0 0 0 0
## 48 128 128 64 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 220 253 253 96 0 0 0 0 0
## 76 253 253 195 0 0 0 0 0 0 0
## 88 253 253 253 234 0 0 0 0 0 0
## X11x1 X11x2 X11x3 X11x4 X11x5 X11x6 X11x7 X11x8 X11x9 X11x10 X11x11
## 31 0 0 0 217 210 86 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 50 234 253 235 50 0
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 152 253
## X11x12 X11x13 X11x14 X11x15 X11x16 X11x17 X11x18 X11x19 X11x20 X11x21
## 31 0 0 29 161 253 253 82 0 0 0
## 48 64 128 0 0 64 0 0 0 0 0
## 51 0 0 20 190 250 61 0 0 0 0
## 61 0 0 0 0 0 0 0 0 220 253
## 76 88 238 253 253 253 221 253 253 253 195
## 88 253 180 19 9 15 0 4 55 253 253
## X11x22 X11x23 X11x24 X11x25 X11x26 X11x27 X11x28 X12x1 X12x2 X12x3
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 253 96 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 166 0 0 0 0 0 0 0 0 0
## X12x4 X12x5 X12x6 X12x7 X12x8 X12x9 X12x10 X12x11 X12x12 X12x13 X12x14
## 31 0 0 0 0 0 0 0 0 0 33 203
## 48 0 0 0 0 0 0 0 191 255 255 0
## 51 0 0 0 0 0 0 0 0 24 118 206
## 61 0 51 239 253 253 85 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 230 253 253
## 88 0 0 0 0 0 41 238 253 253 125 0
## X12x15 X12x16 X12x17 X12x18 X12x19 X12x20 X12x21 X12x22 X12x23 X12x24
## 31 253 253 174 13 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 254 248 142 108 18 0 0 0 0 0
## 61 0 0 0 0 0 160 253 253 229 0
## 76 253 198 40 177 253 253 195 0 0 0
## 88 0 0 21 189 232 253 253 117 0 0
## X12x25 X12x26 X12x27 X12x28 X13x1 X13x2 X13x3 X13x4 X13x5 X13x6 X13x7
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 118 253 253
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0
## X13x8 X13x9 X13x10 X13x11 X13x12 X13x13 X13x14 X13x15 X13x16 X13x17
## 31 0 0 0 10 78 232 253 253 253 43
## 48 0 0 64 255 255 128 0 0 0 0
## 51 0 0 0 63 223 254 254 254 254 254
## 61 204 9 0 0 0 0 0 0 0 0
## 76 0 0 56 156 251 253 189 182 15 0
## 88 0 219 253 220 165 34 92 21 52 228
## X13x18 X13x19 X13x20 X13x21 X13x22 X13x23 X13x24 X13x25 X13x26 X13x27
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 254 209 0 0 0 0 0 0 0 0
## 61 0 0 9 205 253 232 0 0 0 0
## 76 86 240 253 210 28 0 0 0 0 0
## 88 253 253 241 82 13 0 0 0 0 0
## X13x28 X14x1 X14x2 X14x3 X14x4 X14x5 X14x6 X14x7 X14x8 X14x9 X14x10
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 255
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 229 253 233 70 0 0
## 76 0 0 0 0 0 0 0 0 0 0 213
## 88 0 0 0 0 0 0 0 0 38 241 170
## X14x11 X14x12 X14x13 X14x14 X14x15 X14x16 X14x17 X14x18 X14x19 X14x20
## 31 138 253 253 253 253 253 192 180 180 128
## 48 255 191 0 0 0 0 0 0 0 0
## 51 52 174 129 95 16 16 16 106 249 125
## 61 0 0 0 0 0 0 0 0 0 0
## 76 253 253 156 3 0 0 0 0 205 253
## 88 25 20 12 75 39 59 253 253 253 110
## X14x21 X14x22 X14x23 X14x24 X14x25 X14x26 X14x27 X14x28 X15x1 X15x2
## 31 32 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 199 253 238 32 0 0 0 0 0 0
## 76 253 106 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X15x3 X15x4 X15x5 X15x6 X15x7 X15x8 X15x9 X15x10 X15x11 X15x12 X15x13
## 31 0 0 0 0 0 0 0 0 174 253 253
## 48 0 0 0 0 0 0 0 255 255 255 191
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 254 253 177 0 0 0 0 0 0
## 76 0 0 0 0 0 0 121 252 253 135 3
## 88 0 0 0 0 0 112 253 236 67 0 0
## X15x14 X15x15 X15x16 X15x17 X15x18 X15x19 X15x20 X15x21 X15x22 X15x23
## 31 253 253 253 253 253 253 253 169 3 0
## 48 128 64 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 179 239 0 0 0
## 61 0 0 0 0 24 49 49 210 253 253
## 76 0 0 0 0 0 46 253 253 106 0
## 88 0 0 100 253 253 221 16 0 0 0
## X15x24 X15x25 X15x26 X15x27 X15x28 X16x1 X16x2 X16x3 X16x4 X16x5 X16x6
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 216 0 0 0 0 0 0 0 0 254 253
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0
## X16x7 X16x8 X16x9 X16x10 X16x11 X16x12 X16x13 X16x14 X16x15 X16x16
## 31 0 0 0 0 42 61 61 61 61 83
## 48 0 0 0 128 255 255 255 255 255 128
## 51 0 0 0 0 0 0 0 0 0 0
## 61 227 135 28 28 28 28 77 165 165 165
## 76 0 28 212 253 248 23 0 0 0 0
## 88 0 23 239 253 235 202 135 99 173 240
## X16x17 X16x18 X16x19 X16x20 X16x21 X16x22 X16x23 X16x24 X16x25 X16x26
## 31 176 79 110 247 253 195 4 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 80 239 0 0 0 0 0 0
## 61 165 208 253 253 253 253 253 238 0 0
## 76 0 0 42 253 253 106 0 0 0 0
## 88 253 253 110 0 0 0 0 0 0 0
## X16x27 X16x28 X17x1 X17x2 X17x3 X17x4 X17x5 X17x6 X17x7 X17x8 X17x9
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 173 253 253 253 253
## 76 0 0 0 0 0 0 0 0 0 197 253
## 88 0 0 0 0 0 0 0 0 0 0 54
## X17x10 X17x11 X17x12 X17x13 X17x14 X17x15 X17x16 X17x17 X17x18 X17x19
## 31 0 0 0 0 0 59 192 30 0 0
## 48 0 0 128 128 255 255 255 64 0 0
## 51 0 0 0 0 0 0 0 0 0 80
## 61 253 253 253 253 253 253 253 253 253 253
## 76 234 70 0 0 0 0 0 0 0 42
## 88 200 253 253 253 253 253 253 253 241 63
## X17x20 X17x21 X17x22 X17x23 X17x24 X17x25 X17x26 X17x27 X17x28 X18x1
## 31 50 203 253 42 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 244 20 0 0 0 0 0 0 0 0
## 61 253 253 253 241 50 0 0 0 0 0
## 76 253 253 106 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X18x2 X18x3 X18x4 X18x5 X18x6 X18x7 X18x8 X18x9 X18x10 X18x11 X18x12
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 166 253 253 253 253 253 253
## 76 0 0 0 0 0 11 202 253 187 0 0
## 88 0 0 0 0 0 0 0 0 25 112 244
## X18x13 X18x14 X18x15 X18x16 X18x17 X18x18 X18x19 X18x20 X18x21 X18x22
## 31 0 56 195 57 0 0 0 0 112 253
## 48 0 64 191 255 255 0 0 0 0 0
## 51 0 0 0 0 0 0 100 239 0 0
## 61 253 253 253 253 253 192 129 129 227 253
## 76 0 0 0 0 0 0 58 253 210 27
## 88 253 237 142 253 253 111 0 0 0 0
## X18x23 X18x24 X18x25 X18x26 X18x27 X18x28 X19x1 X19x2 X19x3 X19x4 X19x5
## 31 229 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 165 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0
## X19x6 X19x7 X19x8 X19x9 X19x10 X19x11 X19x12 X19x13 X19x14 X19x15
## 31 0 0 0 0 0 0 0 0 172 204
## 48 0 0 0 0 0 0 0 0 0 128
## 51 0 0 0 0 0 0 0 0 0 0
## 61 5 13 118 150 150 150 91 62 113 13
## 76 0 107 253 253 40 0 0 0 0 0
## 88 0 0 0 0 0 0 61 71 51 159
## X19x16 X19x17 X19x18 X19x19 X19x20 X19x21 X19x22 X19x23 X19x24 X19x25
## 31 17 0 0 0 0 58 248 253 0 0
## 48 255 191 0 0 0 0 0 0 0 0
## 51 0 0 0 234 239 0 0 0 0 0
## 61 13 13 7 0 0 199 253 96 0 0
## 76 0 0 53 227 253 195 0 0 0 0
## 88 253 188 22 0 0 0 0 0 0 0
## X19x26 X19x27 X19x28 X20x1 X20x2 X20x3 X20x4 X20x5 X20x6 X20x7 X20x8
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 4
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 107 253
## 88 0 0 0 0 0 0 0 0 0 0 0
## X20x9 X20x10 X20x11 X20x12 X20x13 X20x14 X20x15 X20x16 X20x17 X20x18
## 31 0 0 0 0 0 192 253 184 62 0
## 48 0 0 0 0 0 64 191 255 191 0
## 51 140 5 0 0 0 0 0 0 3 150
## 61 0 0 0 0 0 0 0 0 0 0
## 76 253 40 0 0 0 0 0 0 47 227
## 88 0 0 0 0 15 150 236 212 22 0
## X20x19 X20x20 X20x21 X20x22 X20x23 X20x24 X20x25 X20x26 X20x27 X20x28
## 31 0 85 164 253 253 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 254 129 0 0 0 0 0 0 0 0
## 61 0 45 229 253 96 0 0 0 0 0
## 76 253 231 58 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X21x1 X21x2 X21x3 X21x4 X21x5 X21x6 X21x7 X21x8 X21x9 X21x10 X21x11
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 128 191 64 0
## 51 0 0 0 0 0 0 0 64 254 181 38
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 107 253 253 40 0
## 88 0 0 0 0 0 0 0 0 0 0 0
## X21x12 X21x13 X21x14 X21x15 X21x16 X21x17 X21x18 X21x19 X21x20 X21x21
## 31 0 0 144 253 253 243 223 223 250 253
## 48 0 64 255 255 255 128 0 0 0 0
## 51 0 0 0 0 34 188 254 209 20 0
## 61 0 0 0 0 0 0 0 0 0 199
## 76 0 0 0 5 131 222 253 231 59 0
## 88 0 99 253 243 98 0 0 0 0 0
## X21x22 X21x23 X21x24 X21x25 X21x26 X21x27 X21x28 X22x1 X22x2 X22x3
## 31 253 96 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 253 96 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X22x4 X22x5 X22x6 X22x7 X22x8 X22x9 X22x10 X22x11 X22x12 X22x13 X22x14
## 31 0 0 0 0 0 0 0 0 0 0 7
## 48 0 0 0 128 255 255 255 255 255 255 255
## 51 0 0 0 0 12 226 255 223 88 68 128
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 14 204 253 226 222 73 58 58
## 88 0 0 0 0 0 0 0 0 72 237 253
## X22x15 X22x16 X22x17 X22x18 X22x19 X22x20 X22x21 X22x22 X22x23 X22x24
## 31 152 253 253 253 253 253 253 152 3 0
## 48 255 191 0 0 0 0 0 0 0 0
## 51 157 242 254 207 23 0 0 0 0 0
## 61 0 0 0 0 0 0 177 201 28 0
## 76 170 253 253 227 58 0 0 0 0 0
## 88 105 0 0 0 0 0 0 0 0 0
## X22x25 X22x26 X22x27 X22x28 X23x1 X23x2 X23x3 X23x4 X23x5 X23x6 X23x7
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 255
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0
## X23x8 X23x9 X23x10 X23x11 X23x12 X23x13 X23x14 X23x15 X23x16 X23x17
## 31 0 0 0 0 0 0 0 6 18 122
## 48 255 255 255 255 255 255 255 128 0 0
## 51 0 45 210 254 254 254 254 255 254 187
## 61 0 0 0 0 0 0 0 0 0 0
## 76 197 253 253 253 253 253 253 253 253 238
## 88 0 0 0 10 219 253 195 22 0 0
## X23x18 X23x19 X23x20 X23x21 X23x22 X23x23 X23x24 X23x25 X23x26 X23x27
## 31 141 141 141 87 1 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 49 0 0 0 0 0 0 0 0 0
## 61 0 0 0 24 28 0 0 0 0 0
## 76 58 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X23x28 X24x1 X24x2 X24x3 X24x4 X24x5 X24x6 X24x7 X24x8 X24x9 X24x10
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 128 255 255 128
## 51 0 0 0 0 0 0 0 0 0 0 41
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 33 179 241
## 88 0 0 0 0 0 0 0 0 0 0 8
## X24x11 X24x12 X24x13 X24x14 X24x15 X24x16 X24x17 X24x18 X24x19 X24x20
## 31 0 0 0 0 0 0 0 0 0 0
## 48 191 128 0 0 0 0 0 0 0 0
## 51 129 239 229 179 91 16 3 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 253 253 253 253 250 116 14 0 0 0
## 88 171 253 207 21 0 0 0 0 0 0
## X24x21 X24x22 X24x23 X24x24 X24x25 X24x26 X24x27 X24x28 X25x1 X25x2
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X25x3 X25x4 X25x5 X25x6 X25x7 X25x8 X25x9 X25x10 X25x11 X25x12 X25x13
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 75 179 253 151
## 88 0 0 0 0 0 0 0 105 253 198 76
## X25x14 X25x15 X25x16 X25x17 X25x18 X25x19 X25x20 X25x21 X25x22 X25x23
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 89 86 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X25x24 X25x25 X25x26 X25x27 X25x28 X26x1 X26x2 X26x3 X26x4 X26x5 X26x6
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0
## X26x7 X26x8 X26x9 X26x10 X26x11 X26x12 X26x13 X26x14 X26x15 X26x16
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 0 0 60 242 253 38 0 0 0 0
## X26x17 X26x18 X26x19 X26x20 X26x21 X26x22 X26x23 X26x24 X26x25 X26x26
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X26x27 X26x28 X27x1 X27x2 X27x3 X27x4 X27x5 X27x6 X27x7 X27x8 X27x9
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 235
## X27x10 X27x11 X27x12 X27x13 X27x14 X27x15 X27x16 X27x17 X27x18 X27x19
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 253 206 19 0 0 0 0 0 0 0
## X27x20 X27x21 X27x22 X27x23 X27x24 X27x25 X27x26 X27x27 X27x28 X28x1
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X28x2 X28x3 X28x4 X28x5 X28x6 X28x7 X28x8 X28x9 X28x10 X28x11 X28x12
## 31 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0 0
## X28x13 X28x14 X28x15 X28x16 X28x17 X28x18 X28x19 X28x20 X28x21 X28x22
## 31 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0
## 76 0 0 0 0 0 0 0 0 0 0
## 88 0 0 0 0 0 0 0 0 0 0
## X28x23 X28x24 X28x25 X28x26 X28x27 X28x28
## 31 0 0 0 0 0 0
## 48 0 0 0 0 0 0
## 51 0 0 0 0 0 0
## 61 0 0 0 0 0 0
## 76 0 0 0 0 0 0
## 88 0 0 0 0 0 0apply(misclassified[misclassified$label==1,-1],1,visualize_image)
## NULL