Journal 1

library(igraph)

Last compiled on September, 2025

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1 Week 2

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1.1 Workshop

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1.1.1 Presenting my RQ’s

Today I presented my various research questions and we discussed how to make them more concrete. I drew the network, and after a lot of discussion, I now understand how I could visualize the network I wanted to analyse.

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1.1.2 Social networks in matrices

Next, with some help, I created a matrix filled with randomly assigned 0 and 1. Start coding in small steps: see what needs to happen, and create steps to get there.

# you can create val2 <- sample(x = 0:1, size = 100*100, replace = TRUE, prob = c(0.8, 0.2)) if you
# increase the probability of 1's then you have a higher density network

val <- sample(x = 0:1, size = 100 * 100, replace = TRUE)

mat = matrix(data = val, nrow = 100, ncol = 100)
mat

#>        [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16] [,17]
#>   [1,]    1    1    0    1    1    1    1    0    1     0     0     0     1     1     1     1     0
#>   [2,]    1    1    0    0    0    1    0    1    1     0     1     0     0     1     1     0     0
#>   [3,]    0    1    1    0    1    0    1    0    1     0     0     1     0     1     1     1     1
#>   [4,]    1    1    1    0    0    0    1    0    0     1     0     1     1     0     0     0     0
#>   [5,]    0    0    0    1    1    0    0    0    0     1     0     0     0     0     1     1     1
#>   [6,]    1    0    1    0    0    1    0    1    1     0     0     0     1     0     1     0     1
#>   [7,]    0    1    1    1    1    0    0    0    1     0     1     0     0     1     0     1     1
#>   [8,]    0    0    0    1    1    1    0    1    1     1     1     0     1     0     0     0     0
#>   [9,]    1    1    0    0    0    1    1    1    0     0     0     0     0     0     1     1     0
#>  [10,]    0    1    1    0    1    1    1    1    0     0     1     0     1     1     1     1     0
#>  [11,]    0    0    0    1    1    1    1    0    0     1     1     1     1     1     1     0     1
#>  [12,]    1    1    0    0    0    1    0    1    1     0     0     1     0     1     1     1     1
#>  [13,]    1    1    0    0    1    1    0    1    1     0     1     0     1     0     0     1     1
#>  [14,]    0    0    1    0    0    1    1    1    1     1     1     1     0     1     0     1     1
#>  [15,]    0    1    1    1    1    1    1    0    0     1     0     0     1     0     1     0     1
#>  [16,]    0    0    0    1    0    1    0    1    1     0     0     0     1     1     0     0     0
#>  [17,]    1    1    0    0    1    0    1    0    1     0     1     1     0     0     0     0     1
#>  [18,]    0    1    0    0    1    1    1    0    1     0     1     1     0     0     0     0     0
#>  [19,]    1    1    1    1    1    0    1    0    0     1     0     1     1     1     1     1     0
#>  [20,]    0    0    1    1    0    0    1    0    0     0     0     1     1     1     1     0     1
#>  [21,]    0    0    1    0    1    1    1    1    0     0     0     0     0     1     0     0     0
#>  [22,]    0    1    0    1    0    1    1    0    0     0     0     0     1     0     1     1     0
#>  [23,]    1    0    1    0    0    1    0    0    0     0     1     1     0     1     1     1     0
#>  [24,]    1    0    0    1    1    1    0    0    0     1     0     0     1     0     1     1     0
#>  [25,]    0    1    0    1    1    0    1    0    0     1     0     0     0     1     1     1     1
#>  [26,]    1    0    1    1    0    0    1    1    0     1     0     1     0     0     0     1     0
#>  [27,]    1    0    1    0    0    1    0    1    1     1     0     0     0     0     0     1     1
#>  [28,]    0    1    1    0    0    0    0    0    1     1     1     0     1     1     1     0     1
#>  [29,]    0    0    1    0    0    0    1    0    0     0     0     0     1     1     1     1     0
#>  [30,]    1    1    1    1    1    1    1    1    0     1     0     1     1     0     0     0     0
#>  [31,]    0    0    1    0    0    0    1    1    1     1     1     0     0     1     1     0     0
#>  [32,]    1    1    0    0    0    0    1    1    1     0     1     0     0     0     1     0     1
#>  [33,]    1    1    1    0    1    0    0    1    0     0     0     1     0     0     1     0     0
#>  [34,]    0    1    1    1    1    1    1    0    0     1     1     0     0     0     1     0     1
#>  [35,]    0    1    0    1    0    1    1    1    1     1     1     0     0     1     1     1     1
#>  [36,]    0    0    0    0    1    1    0    1    0     1     1     1     1     0     1     0     1
#>  [37,]    0    1    1    0    1    1    0    0    1     0     0     1     1     1     1     0     1
#>  [38,]    1    1    1    0    0    1    0    0    1     1     1     0     0     0     1     1     0
#>  [39,]    1    0    0    1    0    1    0    1    0     1     1     0     0     1     1     1     0
#>  [40,]    0    0    1    0    0    0    1    0    1     0     1     1     0     1     1     1     0
#>  [41,]    1    0    1    0    1    1    0    0    1     0     0     0     1     1     1     1     1
#>  [42,]    0    1    0    0    1    0    0    0    1     0     1     1     1     1     0     0     1
#>  [43,]    1    0    0    1    1    0    1    0    0     1     0     0     0     1     0     0     0
#>  [44,]    0    1    0    0    0    1    0    1    0     0     1     0     1     0     1     0     1
#>  [45,]    0    0    0    0    1    0    0    0    0     1     0     0     1     0     0     0     1
#>  [46,]    0    1    1    1    0    0    1    1    1     0     0     1     0     0     1     0     0
#>  [47,]    1    1    1    1    0    0    1    0    0     1     1     1     1     1     0     1     1
#>  [48,]    0    0    1    0    0    0    0    0    1     1     1     1     1     1     0     1     1
#>  [49,]    0    0    1    0    1    1    1    0    0     1     1     1     0     0     1     0     1
#>  [50,]    1    0    0    1    0    1    0    0    0     0     0     1     0     0     0     0     1
#>  [51,]    0    0    1    0    1    1    0    1    1     1     1     0     0     1     1     0     0
#>  [52,]    0    0    0    1    0    0    0    1    0     0     1     1     0     1     0     0     1
#>  [53,]    1    0    0    1    0    1    1    1    1     1     0     1     1     1     0     1     0
#>  [54,]    0    1    1    0    0    1    0    0    0     0     1     0     1     0     1     0     0
#>  [55,]    0    0    1    0    0    0    0    1    1     1     1     1     1     0     0     0     0
#>  [56,]    1    0    1    0    0    1    1    1    1     0     1     1     1     0     0     0     1
#>  [57,]    1    0    0    1    1    1    0    0    0     1     1     0     0     1     0     0     1
#>  [58,]    1    1    0    0    0    0    0    1    1     1     1     0     0     0     0     0     0
#>  [59,]    1    1    0    1    0    0    0    1    1     0     1     0     0     0     1     0     1
#>  [60,]    1    0    0    1    0    0    0    1    0     0     0     1     0     0     0     1     0
#>  [61,]    1    1    0    1    0    1    1    1    0     0     0     0     1     1     1     0     0
#>  [62,]    1    0    0    1    0    0    1    1    0     1     1     0     0     1     0     1     1
#>  [63,]    0    0    1    0    0    1    0    1    1     1     1     1     1     0     1     1     1
#>  [64,]    0    0    0    0    0    0    1    0    1     1     0     0     0     1     0     0     0
#>  [65,]    1    1    0    1    0    1    1    1    0     1     1     0     1     1     0     1     1
#>  [66,]    0    1    0    0    0    1    1    1    0     1     1     0     1     0     0     1     1
#>  [67,]    0    0    1    1    0    1    1    1    1     1     0     0     1     0     0     1     0
#>  [68,]    0    1    1    1    1    1    0    1    1     0     0     0     0     0     1     0     0
#>  [69,]    1    0    1    1    1    0    0    1    0     1     1     1     1     1     1     0     0
#>  [70,]    0    1    0    0    0    1    0    0    1     0     1     1     0     1     0     1     1
#>  [71,]    0    1    1    0    0    1    0    1    1     0     0     0     1     1     0     1     0
#>  [72,]    0    0    1    0    0    1    0    0    0     1     0     0     1     1     1     0     1
#>  [73,]    0    1    0    1    1    1    1    0    1     0     0     0     1     1     1     1     0
#>  [74,]    0    1    0    1    1    0    1    1    0     0     1     0     0     0     0     0     0
#>  [75,]    1    0    1    1    1    1    1    0    0     1     0     0     0     0     0     1     0
#>  [76,]    1    0    0    0    0    1    0    1    0     1     0     1     0     1     1     0     0
#>  [77,]    1    0    1    1    0    1    0    1    1     0     1     1     1     0     1     1     0
#>  [78,]    0    1    0    0    0    1    0    1    0     0     0     0     0     0     1     1     0
#>  [79,]    1    0    0    0    1    1    0    1    0     1     0     1     1     1     1     1     0
#>  [80,]    0    0    1    1    1    1    1    1    1     0     0     1     1     0     1     1     0
#>  [81,]    1    1    1    1    1    0    0    1    0     1     0     0     1     0     1     0     1
#>  [82,]    1    0    0    0    1    1    0    0    1     0     0     0     0     0     1     0     1
#>  [83,]    1    0    1    0    0    0    1    0    1     1     0     1     1     1     0     1     1
#>  [84,]    0    0    1    0    0    0    1    0    0     0     0     1     0     0     1     0     0
#>  [85,]    0    0    1    1    1    1    0    1    0     1     0     1     0     0     1     1     1
#>  [86,]    0    1    1    1    1    1    1    1    0     1     0     1     1     1     1     0     1
#>  [87,]    0    1    0    0    1    1    0    1    1     1     1     0     1     0     0     1     0
#>  [88,]    1    1    0    0    0    1    0    0    0     1     1     1     1     0     0     0     0
#>  [89,]    0    0    0    0    1    0    0    0    0     1     0     0     0     1     1     0     1
#>  [90,]    1    0    1    0    1    0    0    1    1     0     0     0     0     1     0     0     0
#>  [91,]    1    0    0    0    1    0    0    0    0     1     0     1     0     0     1     0     1
#>  [92,]    0    0    0    0    1    0    1    1    1     1     0     0     0     1     0     1     1
#>  [93,]    1    0    0    1    1    0    1    0    1     1     0     0     0     1     0     0     0
#>  [94,]    0    0    1    1    1    1    0    0    1     0     1     0     1     1     0     1     1
#>  [95,]    0    0    1    0    0    0    1    1    1     0     1     1     0     0     1     0     0
#>  [96,]    1    0    1    1    0    1    0    0    1     1     0     1     0     1     1     0     1
#>  [97,]    1    0    1    1    0    1    0    0    1     0     0     1     0     0     1     0     0
#>  [98,]    1    1    0    0    1    1    1    1    0     1     1     1     0     0     0     0     1
#>  [99,]    1    1    1    0    0    1    0    0    1     0     0     1     0     1     1     0     0
#> [100,]    0    0    0    1    1    0    1    1    1     1     0     1     1     1     0     1     0
#>        [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25] [,26] [,27] [,28] [,29] [,30] [,31] [,32]
#>   [1,]     1     0     1     0     0     1     0     1     1     0     0     0     1     0     0
#>   [2,]     0     1     1     1     1     1     1     1     1     1     1     1     0     1     1
#>   [3,]     1     1     1     1     1     0     0     1     1     1     1     0     1     1     0
#>   [4,]     0     1     1     1     0     0     1     0     1     1     1     1     0     0     0
#>   [5,]     1     1     1     0     1     1     1     1     0     1     1     0     1     1     0
#>   [6,]     0     0     1     0     1     0     1     1     0     1     1     0     1     0     0
#>   [7,]     1     1     0     1     1     0     0     0     1     0     1     1     1     1     1
#>   [8,]     1     0     1     0     1     1     0     0     1     1     0     1     1     1     1
#>   [9,]     0     0     1     0     0     1     0     0     1     0     0     1     0     0     0
#>  [10,]     1     1     0     0     0     0     1     1     0     0     0     1     1     1     1
#>  [11,]     0     1     1     0     0     0     0     0     0     0     0     0     0     1     0
#>  [12,]     1     0     1     0     0     0     0     0     0     1     1     0     0     1     0
#>  [13,]     0     0     1     0     0     0     0     1     0     0     0     0     1     1     0
#>  [14,]     0     1     1     1     1     1     1     0     0     1     1     0     0     1     1
#>  [15,]     1     0     0     0     1     0     1     0     1     1     1     1     1     0     1
#>  [16,]     0     0     0     1     0     0     1     1     0     0     0     0     0     1     1
#>  [17,]     0     0     0     1     1     1     1     0     0     1     0     1     0     0     1
#>  [18,]     1     1     1     1     0     0     1     1     0     1     1     1     0     1     0
#>  [19,]     0     0     0     0     1     1     0     1     0     1     1     1     0     0     1
#>  [20,]     0     1     1     0     0     0     1     0     1     1     0     0     0     1     0
#>  [21,]     1     1     0     1     1     0     0     0     0     0     1     1     0     1     0
#>  [22,]     0     1     1     0     0     1     1     1     0     0     1     1     1     0     1
#>  [23,]     0     1     0     1     0     0     1     0     0     0     1     0     0     1     1
#>  [24,]     1     1     0     1     1     1     1     0     1     1     1     0     0     0     1
#>  [25,]     1     1     0     0     1     1     0     1     1     0     1     1     0     0     1
#>  [26,]     0     0     0     0     1     1     1     0     1     0     1     1     0     1     1
#>  [27,]     0     1     0     1     0     1     0     1     1     0     1     0     0     1     1
#>  [28,]     0     1     1     0     0     0     1     1     1     1     0     1     0     1     1
#>  [29,]     0     1     1     0     1     0     0     1     0     1     0     1     1     1     0
#>  [30,]     0     0     0     0     1     0     0     0     1     1     0     1     1     1     1
#>  [31,]     0     0     0     1     0     1     1     1     1     1     0     1     0     1     0
#>  [32,]     1     1     1     0     1     1     0     0     1     0     0     1     0     1     1
#>  [33,]     0     1     1     1     1     1     1     0     1     0     0     0     0     0     1
#>  [34,]     1     1     0     0     1     1     1     1     0     1     0     1     1     0     1
#>  [35,]     1     1     0     0     1     1     0     1     0     1     1     0     1     1     0
#>  [36,]     1     1     1     1     1     0     1     0     1     1     0     1     1     1     1
#>  [37,]     1     1     1     1     1     1     1     1     1     1     0     1     1     0     1
#>  [38,]     0     1     1     0     0     1     0     0     0     1     1     0     0     1     0
#>  [39,]     1     0     0     1     0     0     0     0     1     0     1     0     1     1     1
#>  [40,]     1     1     1     0     0     1     0     1     0     0     1     0     0     0     1
#>  [41,]     1     1     1     0     1     0     0     0     1     1     1     0     0     0     0
#>  [42,]     1     1     0     0     0     1     0     0     1     0     0     1     1     0     0
#>  [43,]     1     1     0     1     0     1     0     1     0     0     1     0     1     1     0
#>  [44,]     1     0     1     1     1     0     0     0     1     1     1     1     0     0     1
#>  [45,]     0     0     1     1     1     1     0     1     0     0     0     0     0     1     0
#>  [46,]     0     0     1     0     0     1     0     0     0     1     0     1     1     0     1
#>  [47,]     1     0     1     0     0     1     0     0     0     0     0     1     0     0     0
#>  [48,]     0     1     1     1     1     1     1     0     0     1     0     0     1     1     0
#>  [49,]     1     0     1     0     1     1     1     0     1     0     0     1     1     0     0
#>  [50,]     1     1     1     1     1     0     1     1     0     0     0     1     1     1     0
#>  [51,]     0     0     1     1     0     0     1     1     1     1     0     0     1     1     0
#>  [52,]     0     1     0     1     0     0     0     1     0     1     1     1     0     0     1
#>  [53,]     0     0     0     0     0     0     0     1     0     1     0     1     1     1     0
#>  [54,]     1     1     0     0     0     0     1     1     0     0     1     1     0     0     1
#>  [55,]     1     1     1     1     1     0     0     0     1     0     1     1     1     1     0
#>  [56,]     0     1     1     1     1     0     1     0     0     0     1     0     0     1     0
#>  [57,]     1     0     1     1     0     1     0     1     0     1     0     1     0     0     1
#>  [58,]     1     0     1     0     1     1     0     1     1     0     1     1     0     0     0
#>  [59,]     0     1     0     0     0     1     0     1     0     1     1     1     1     0     1
#>  [60,]     0     0     0     1     1     0     1     0     1     1     0     0     1     0     1
#>  [61,]     0     0     0     0     1     1     1     1     0     0     0     0     1     1     1
#>  [62,]     0     1     1     1     1     0     0     0     1     1     0     1     0     1     1
#>  [63,]     0     0     0     0     1     0     0     0     0     0     0     1     0     1     1
#>  [64,]     1     0     0     0     0     0     0     0     1     0     1     1     0     1     0
#>  [65,]     0     0     0     1     0     1     1     0     1     0     0     1     0     1     1
#>  [66,]     0     1     0     1     1     1     0     0     0     1     0     1     1     0     0
#>  [67,]     1     1     1     1     1     0     1     0     0     0     0     0     0     0     0
#>  [68,]     1     0     0     1     0     1     1     0     0     0     0     1     0     0     0
#>  [69,]     0     0     0     1     1     1     0     0     1     1     1     0     1     0     1
#>  [70,]     1     1     1     1     1     0     1     0     1     0     0     0     1     0     0
#>  [71,]     0     0     0     1     1     0     1     1     0     0     0     0     0     1     0
#>  [72,]     1     1     1     1     1     1     1     0     0     0     0     1     0     0     1
#>  [73,]     0     1     0     0     0     1     1     0     1     1     0     0     1     0     0
#>  [74,]     0     0     0     0     1     0     1     0     1     0     0     1     0     1     0
#>  [75,]     1     1     0     0     1     0     0     1     0     1     0     1     1     0     1
#>  [76,]     1     0     0     1     1     0     1     1     1     0     0     0     1     0     0
#>  [77,]     1     0     1     1     0     0     1     0     0     1     1     1     0     0     1
#>  [78,]     0     1     0     1     1     1     0     1     0     1     1     0     0     1     0
#>  [79,]     1     1     0     0     0     0     1     0     1     0     0     0     0     1     1
#>  [80,]     0     1     0     1     0     1     0     0     0     0     1     1     0     0     0
#>  [81,]     0     0     1     1     1     1     1     0     1     1     0     1     1     0     1
#>  [82,]     1     1     0     0     0     0     0     0     1     1     0     1     0     0     1
#>  [83,]     0     0     0     0     1     1     0     1     0     1     0     0     1     0     1
#>  [84,]     1     0     1     1     1     0     1     0     1     1     1     1     1     0     1
#>  [85,]     1     1     0     0     1     0     1     1     1     1     1     0     0     1     0
#>  [86,]     0     0     0     0     0     1     0     1     1     1     0     1     1     1     1
#>  [87,]     0     1     1     1     0     0     0     1     1     1     0     1     0     0     1
#>  [88,]     0     0     1     1     1     1     1     0     0     0     0     1     1     0     1
#>  [89,]     1     1     0     0     0     0     1     0     0     1     0     0     0     1     1
#>  [90,]     0     1     1     0     1     1     1     1     0     1     0     1     0     1     0
#>  [91,]     1     1     1     1     0     1     1     0     0     0     1     1     1     0     1
#>  [92,]     0     0     0     0     1     0     0     0     0     1     1     1     0     1     0
#>  [93,]     1     1     0     1     0     1     1     0     0     1     1     1     1     1     1
#>  [94,]     1     1     1     1     0     0     0     1     1     0     1     1     0     1     1
#>  [95,]     1     1     0     1     1     1     0     1     1     0     1     0     0     0     1
#>  [96,]     0     0     0     1     0     1     0     0     1     1     0     0     0     0     1
#>  [97,]     0     1     0     1     1     0     0     1     1     0     1     1     1     0     1
#>  [98,]     1     1     1     0     0     0     1     1     0     1     1     1     1     0     1
#>  [99,]     1     0     1     0     1     0     0     0     0     1     0     1     0     0     1
#> [100,]     0     1     0     1     0     1     1     0     1     1     1     1     1     1     0
#>        [,33] [,34] [,35] [,36] [,37] [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47]
#>   [1,]     0     1     1     1     0     1     0     1     1     1     1     1     0     1     0
#>   [2,]     1     1     0     0     0     1     1     1     0     1     1     1     0     1     1
#>   [3,]     0     1     0     1     1     0     0     0     0     1     0     0     0     1     1
#>   [4,]     1     0     0     0     0     0     0     1     0     0     1     0     1     1     0
#>   [5,]     1     1     1     1     1     0     0     1     0     1     1     1     1     0     1
#>   [6,]     0     1     0     0     0     0     1     0     1     1     1     1     0     1     0
#>   [7,]     1     0     1     0     1     0     0     0     0     0     1     1     1     0     0
#>   [8,]     0     1     1     0     1     1     0     0     1     0     1     1     0     1     0
#>   [9,]     1     0     1     0     1     1     0     1     1     0     1     0     1     1     0
#>  [10,]     1     1     0     0     0     0     0     0     0     0     0     0     1     1     1
#>  [11,]     1     0     0     0     0     1     1     1     0     0     1     0     0     0     0
#>  [12,]     1     0     0     1     1     1     1     0     1     0     1     1     1     1     1
#>  [13,]     1     1     0     1     0     0     1     1     1     1     1     0     0     1     0
#>  [14,]     0     0     0     1     1     0     0     1     1     1     1     0     1     0     1
#>  [15,]     1     1     1     0     1     0     1     1     0     1     1     0     0     0     0
#>  [16,]     1     0     1     1     0     0     1     0     1     1     0     1     1     0     0
#>  [17,]     0     0     0     0     1     0     0     0     1     0     1     0     1     0     0
#>  [18,]     1     0     1     1     1     1     1     1     1     0     1     0     1     0     0
#>  [19,]     1     0     1     0     1     0     1     0     1     1     0     1     1     0     0
#>  [20,]     0     0     0     1     1     1     1     1     1     0     1     0     0     0     0
#>  [21,]     0     0     1     1     1     1     0     0     1     1     0     0     1     0     0
#>  [22,]     0     1     0     0     1     0     0     0     1     1     1     1     0     0     1
#>  [23,]     0     1     0     0     0     0     0     1     0     1     1     1     0     0     0
#>  [24,]     0     0     1     1     0     0     0     0     0     1     1     0     0     0     0
#>  [25,]     1     0     0     0     0     1     0     1     1     1     1     0     1     0     1
#>  [26,]     1     1     0     1     0     0     0     1     1     1     0     1     0     0     1
#>  [27,]     0     0     1     1     1     0     1     0     1     0     0     1     0     0     0
#>  [28,]     1     0     0     1     1     1     0     0     1     0     1     0     0     0     0
#>  [29,]     1     0     0     1     0     0     0     1     0     0     0     1     1     0     0
#>  [30,]     1     0     1     0     0     0     1     0     0     1     1     0     0     0     0
#>  [31,]     0     1     1     1     0     0     0     1     1     1     0     1     0     0     1
#>  [32,]     1     1     1     0     1     0     0     0     0     1     1     0     0     0     0
#>  [33,]     1     1     0     0     0     1     1     1     1     1     1     0     1     1     0
#>  [34,]     0     0     1     1     1     0     0     0     0     0     0     0     0     0     1
#>  [35,]     1     0     0     1     0     1     1     0     0     1     1     0     1     1     0
#>  [36,]     1     1     1     1     1     0     1     1     1     0     0     1     1     0     0
#>  [37,]     1     0     0     1     0     0     0     0     0     1     1     0     0     0     0
#>  [38,]     0     1     0     1     1     1     1     0     1     1     1     1     0     0     0
#>  [39,]     1     1     1     1     0     0     1     0     1     0     0     0     0     0     0
#>  [40,]     1     1     1     1     0     0     0     1     0     1     0     1     1     1     1
#>  [41,]     1     1     1     1     1     1     1     1     0     1     1     1     1     0     0
#>  [42,]     0     1     1     0     1     0     0     1     0     1     0     1     0     1     1
#>  [43,]     0     0     1     1     1     0     1     0     1     1     1     0     0     0     0
#>  [44,]     1     1     1     1     1     1     0     0     0     1     1     0     0     0     0
#>  [45,]     1     0     0     0     1     0     0     0     1     1     1     1     0     0     1
#>  [46,]     1     1     1     0     1     1     0     0     1     0     0     0     0     0     0
#>  [47,]     0     1     0     1     1     0     0     0     1     0     1     0     1     1     1
#>  [48,]     1     1     1     0     1     1     0     1     1     0     0     0     0     0     0
#>  [49,]     1     1     0     1     1     0     0     1     0     0     1     0     0     0     1
#>  [50,]     1     1     0     1     1     1     1     0     1     0     0     1     0     1     0
#>  [51,]     1     0     1     0     1     0     0     0     0     0     0     1     0     1     1
#>  [52,]     1     0     1     1     0     1     0     1     0     0     1     0     0     1     0
#>  [53,]     1     1     1     1     0     1     1     0     0     1     0     1     1     0     1
#>  [54,]     0     1     0     0     1     1     0     1     0     1     0     1     1     0     1
#>  [55,]     1     0     1     0     0     1     0     0     0     0     1     0     1     1     0
#>  [56,]     0     1     0     1     0     1     0     0     0     1     0     1     0     0     1
#>  [57,]     0     1     0     1     1     0     0     1     1     1     0     1     1     0     0
#>  [58,]     0     1     0     0     1     1     1     0     0     1     1     0     0     1     1
#>  [59,]     0     0     1     0     0     0     0     0     1     1     1     0     0     1     0
#>  [60,]     1     1     0     0     0     1     0     1     0     1     0     0     0     1     0
#>  [61,]     0     0     1     0     1     1     1     0     1     0     0     1     0     1     0
#>  [62,]     1     1     0     1     0     0     1     1     0     1     0     1     1     1     0
#>  [63,]     0     0     1     0     0     0     0     1     1     0     1     1     1     0     1
#>  [64,]     1     1     1     1     0     0     1     0     1     1     0     1     1     0     0
#>  [65,]     0     1     0     0     1     1     1     0     0     0     1     1     1     1     1
#>  [66,]     0     0     1     1     0     0     1     1     0     0     1     0     0     1     1
#>  [67,]     1     1     1     1     1     1     1     1     1     1     1     1     0     0     1
#>  [68,]     0     1     0     0     0     1     1     1     1     0     1     0     1     0     1
#>  [69,]     1     0     0     0     1     1     0     1     0     1     0     1     0     1     1
#>  [70,]     1     1     1     1     0     0     1     0     1     1     0     0     0     0     1
#>  [71,]     0     0     0     0     0     1     0     1     1     1     0     0     0     1     1
#>  [72,]     0     0     0     0     1     0     0     0     0     1     0     1     0     0     0
#>  [73,]     1     1     0     1     1     1     1     1     0     0     0     0     0     0     1
#>  [74,]     1     1     1     0     0     0     0     0     0     0     0     0     1     0     1
#>  [75,]     1     0     1     1     1     1     1     0     0     1     1     1     0     1     1
#>  [76,]     1     1     0     1     1     0     0     0     1     0     1     0     0     1     0
#>  [77,]     0     1     1     1     0     0     0     0     1     0     0     0     0     1     0
#>  [78,]     1     1     0     1     0     1     0     0     1     1     1     1     1     0     0
#>  [79,]     1     1     0     0     0     1     0     0     1     0     0     1     0     1     1
#>  [80,]     0     0     0     1     1     1     0     1     1     1     0     1     0     0     0
#>  [81,]     0     1     1     1     1     1     0     0     0     0     0     0     0     1     1
#>  [82,]     0     0     1     0     1     0     1     0     1     0     0     0     0     0     0
#>  [83,]     0     0     0     1     1     1     1     0     1     1     0     1     0     1     0
#>  [84,]     1     1     0     1     1     0     1     1     0     0     1     0     1     0     1
#>  [85,]     1     1     0     1     1     0     0     1     1     1     0     0     0     1     1
#>  [86,]     1     1     1     1     1     0     1     0     0     1     1     1     0     0     0
#>  [87,]     0     0     1     0     1     0     0     0     1     1     0     1     0     0     1
#>  [88,]     0     0     0     1     0     0     0     0     1     0     0     1     0     1     0
#>  [89,]     1     0     0     1     1     0     0     1     0     0     0     1     0     0     1
#>  [90,]     0     1     0     1     0     1     0     0     1     1     1     1     1     1     1
#>  [91,]     1     1     1     0     0     1     0     1     0     0     0     0     0     0     1
#>  [92,]     1     1     0     0     1     1     1     1     0     0     0     0     1     0     1
#>  [93,]     0     1     1     1     1     0     1     1     1     1     1     1     0     0     1
#>  [94,]     0     0     0     1     1     1     1     1     0     1     0     0     0     0     0
#>  [95,]     0     0     0     0     0     1     0     0     1     1     1     1     0     1     1
#>  [96,]     1     0     0     0     0     1     1     0     0     0     1     1     0     0     1
#>  [97,]     0     0     1     0     0     0     0     1     0     0     0     1     0     1     1
#>  [98,]     1     1     0     0     1     0     1     1     0     0     0     0     0     1     1
#>  [99,]     1     1     1     1     0     0     1     1     0     0     1     0     0     0     0
#> [100,]     0     0     0     1     1     0     0     1     0     0     1     0     1     1     1
#>        [,48] [,49] [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61] [,62]
#>   [1,]     0     0     0     0     1     1     0     1     1     0     0     0     1     0     1
#>   [2,]     1     1     1     1     0     0     1     1     1     1     1     0     0     1     1
#>   [3,]     1     1     0     0     1     1     1     1     1     0     1     1     1     0     1
#>   [4,]     1     0     1     0     1     0     0     1     0     1     0     1     1     1     0
#>   [5,]     0     0     1     1     0     1     0     0     1     0     1     0     0     1     0
#>   [6,]     0     1     0     0     1     1     1     1     1     1     1     1     0     1     0
#>   [7,]     1     1     0     0     0     0     1     0     1     0     0     0     1     1     1
#>   [8,]     0     0     0     0     1     1     1     1     1     1     1     1     0     0     1
#>   [9,]     1     0     0     0     0     1     0     0     1     1     1     0     0     1     1
#>  [10,]     1     1     0     0     1     0     0     0     0     1     1     1     0     0     0
#>  [11,]     0     0     0     0     0     0     0     0     0     1     0     0     0     1     1
#>  [12,]     1     1     1     1     0     0     0     1     1     1     1     1     0     1     1
#>  [13,]     1     1     0     0     0     0     1     0     0     1     1     1     1     1     1
#>  [14,]     1     1     0     0     0     0     0     0     0     1     0     1     0     0     1
#>  [15,]     0     0     0     1     1     0     1     1     1     0     0     0     1     1     0
#>  [16,]     1     0     0     0     1     0     1     1     1     1     0     0     1     1     0
#>  [17,]     0     1     0     1     0     0     1     0     0     0     1     1     0     1     1
#>  [18,]     1     1     1     1     0     0     1     1     1     0     0     1     1     0     0
#>  [19,]     0     1     0     0     0     0     1     1     1     0     1     1     1     0     1
#>  [20,]     0     0     0     1     1     1     1     0     0     0     0     0     1     0     1
#>  [21,]     0     0     1     1     1     1     1     0     1     0     0     1     1     0     0
#>  [22,]     0     0     0     1     1     0     1     1     0     1     1     1     0     0     1
#>  [23,]     0     0     0     0     1     0     1     1     1     0     1     1     0     1     1
#>  [24,]     1     0     0     1     1     1     0     1     1     0     0     0     1     0     1
#>  [25,]     0     0     1     0     0     0     1     1     0     1     0     0     1     0     1
#>  [26,]     0     1     0     0     0     1     1     0     0     1     1     1     1     1     0
#>  [27,]     1     1     0     0     1     1     0     1     0     1     0     0     0     0     1
#>  [28,]     0     1     0     0     1     1     1     0     0     0     1     1     0     0     1
#>  [29,]     1     0     0     1     0     0     0     1     1     1     0     0     0     1     1
#>  [30,]     1     0     1     1     0     1     0     1     1     1     0     1     1     0     0
#>  [31,]     1     1     1     1     1     1     1     0     1     0     1     0     1     1     1
#>  [32,]     0     0     1     1     0     1     0     1     1     0     0     1     0     1     1
#>  [33,]     0     0     1     0     1     0     1     0     0     0     1     0     0     0     1
#>  [34,]     1     1     0     1     0     0     1     0     0     0     1     0     0     1     1
#>  [35,]     1     1     0     0     1     0     1     0     1     1     0     1     1     1     1
#>  [36,]     0     0     1     0     1     0     1     0     0     1     0     1     1     1     1
#>  [37,]     0     1     0     0     0     1     1     0     0     0     1     1     1     1     0
#>  [38,]     0     1     0     1     0     1     0     0     1     0     1     0     1     0     1
#>  [39,]     0     1     1     1     0     0     1     0     1     1     0     0     0     1     1
#>  [40,]     1     1     1     0     1     1     1     0     0     0     1     0     0     0     0
#>  [41,]     1     1     0     0     0     0     0     0     1     1     1     0     1     0     1
#>  [42,]     1     0     1     1     0     0     0     1     0     1     1     0     1     1     1
#>  [43,]     0     0     1     1     1     0     1     1     1     0     1     1     1     0     1
#>  [44,]     0     0     0     1     0     1     0     1     1     0     0     0     1     1     1
#>  [45,]     0     1     1     0     0     0     0     1     1     1     0     1     0     1     0
#>  [46,]     0     1     0     1     1     0     0     1     1     0     0     0     1     0     0
#>  [47,]     1     0     1     1     1     0     0     0     0     1     1     1     0     0     0
#>  [48,]     1     0     1     0     1     1     0     1     1     0     0     0     1     1     1
#>  [49,]     1     1     0     1     0     0     0     1     1     0     0     1     0     1     0
#>  [50,]     0     1     0     0     1     1     0     0     0     1     1     1     1     0     1
#>  [51,]     1     0     1     0     0     0     1     1     1     1     0     1     0     1     1
#>  [52,]     1     1     1     0     1     0     0     1     1     1     1     1     0     1     0
#>  [53,]     0     0     0     1     0     0     0     1     1     1     1     0     0     0     1
#>  [54,]     1     0     1     0     1     1     1     0     1     1     0     0     0     1     0
#>  [55,]     1     1     0     0     0     1     0     0     0     1     1     0     0     1     1
#>  [56,]     0     1     1     0     1     0     1     1     0     1     1     0     1     1     1
#>  [57,]     1     1     0     1     1     0     1     0     0     1     1     1     0     0     1
#>  [58,]     0     0     0     0     1     1     1     1     1     1     1     0     0     0     0
#>  [59,]     0     1     1     1     0     1     1     1     0     1     1     0     1     0     0
#>  [60,]     0     1     1     0     0     1     1     0     1     0     1     0     0     0     1
#>  [61,]     0     0     1     0     1     0     0     0     1     1     1     0     0     0     0
#>  [62,]     0     1     0     1     1     1     1     1     0     0     1     1     1     0     1
#>  [63,]     1     1     1     1     1     1     1     0     1     1     0     0     1     0     0
#>  [64,]     1     0     0     1     1     1     0     0     1     1     0     1     0     0     1
#>  [65,]     1     1     1     0     1     1     1     1     0     1     0     0     1     1     0
#>  [66,]     1     1     1     1     0     1     0     0     1     0     1     0     0     1     1
#>  [67,]     1     0     1     1     0     1     1     0     0     1     0     0     1     0     1
#>  [68,]     0     1     1     1     0     1     0     0     0     0     1     1     1     1     1
#>  [69,]     1     0     1     0     0     1     1     1     0     1     1     1     1     1     0
#>  [70,]     0     0     0     1     1     0     0     0     0     1     0     0     0     0     1
#>  [71,]     0     1     1     1     0     1     1     1     0     1     0     1     0     1     0
#>  [72,]     0     0     1     0     1     0     1     1     1     1     1     1     0     0     1
#>  [73,]     0     0     0     0     1     0     1     1     1     0     0     1     0     0     0
#>  [74,]     1     1     1     1     1     0     0     1     1     0     0     1     1     0     0
#>  [75,]     0     0     0     1     1     1     1     0     0     0     0     1     1     1     1
#>  [76,]     1     1     0     1     1     0     1     0     1     1     0     1     1     1     0
#>  [77,]     0     0     1     1     1     0     0     0     1     1     1     0     1     0     1
#>  [78,]     0     0     0     0     0     1     0     1     1     1     0     0     0     1     0
#>  [79,]     0     0     1     1     0     0     0     0     0     0     0     0     0     0     0
#>  [80,]     0     0     0     0     0     0     1     0     1     0     0     1     0     1     1
#>  [81,]     0     0     0     0     0     1     0     0     1     0     0     0     0     1     0
#>  [82,]     0     0     0     1     0     0     0     1     1     0     1     1     0     1     1
#>  [83,]     0     0     1     0     1     1     0     0     0     0     1     1     0     1     0
#>  [84,]     0     1     0     1     1     0     1     1     0     1     0     1     0     1     1
#>  [85,]     0     1     0     1     1     0     1     0     1     0     1     0     0     1     0
#>  [86,]     1     1     0     1     1     0     1     1     0     1     0     0     1     0     1
#>  [87,]     1     0     0     0     1     0     1     1     0     0     1     0     0     0     0
#>  [88,]     0     0     0     0     1     1     0     1     1     1     1     1     0     1     1
#>  [89,]     0     0     0     1     0     1     0     0     1     1     0     0     0     0     1
#>  [90,]     1     0     1     0     0     1     1     1     0     1     0     0     0     1     1
#>  [91,]     1     1     0     1     1     1     0     1     1     1     0     0     1     0     1
#>  [92,]     0     1     1     0     0     0     0     0     1     0     1     0     1     0     1
#>  [93,]     1     0     0     1     1     0     1     0     0     1     1     0     1     0     1
#>  [94,]     0     1     1     1     1     0     0     1     1     1     1     1     1     0     0
#>  [95,]     0     0     1     0     0     1     0     1     0     0     0     1     1     0     0
#>  [96,]     0     0     1     1     0     1     0     0     1     1     0     0     1     0     0
#>  [97,]     0     1     1     1     0     1     0     0     0     1     0     0     0     0     0
#>  [98,]     0     1     0     1     0     1     0     1     1     0     1     1     1     0     1
#>  [99,]     0     0     1     0     1     0     0     1     0     1     0     1     0     1     1
#> [100,]     1     0     1     0     0     0     0     0     0     0     0     1     1     1     0
#>        [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#>   [1,]     1     1     1     0     1     1     1     1     1     0     1     0     1     1     1
#>   [2,]     0     0     1     1     0     1     1     0     0     0     1     1     0     0     0
#>   [3,]     1     0     1     1     1     0     0     1     0     0     0     0     0     1     0
#>   [4,]     0     1     0     0     1     0     1     0     1     0     1     0     1     1     0
#>   [5,]     1     1     0     0     0     1     0     0     1     0     1     1     0     0     0
#>   [6,]     0     1     1     1     0     1     1     1     1     1     0     1     1     1     1
#>   [7,]     0     0     1     0     0     1     1     0     1     0     0     0     0     1     1
#>   [8,]     1     0     1     0     1     0     1     0     1     0     0     0     0     0     0
#>   [9,]     1     0     0     0     0     1     1     1     0     1     1     0     0     0     1
#>  [10,]     0     0     0     1     0     0     0     0     0     0     1     0     0     1     1
#>  [11,]     1     0     1     0     0     1     1     1     1     1     0     1     1     1     1
#>  [12,]     1     0     0     0     1     0     0     1     0     0     1     1     1     0     1
#>  [13,]     1     0     0     1     0     0     1     1     1     1     1     0     1     1     0
#>  [14,]     1     1     1     0     0     0     1     1     0     0     0     1     1     0     1
#>  [15,]     0     0     1     0     0     1     1     0     0     0     1     1     1     1     0
#>  [16,]     0     1     0     1     0     0     0     1     0     0     1     1     0     0     0
#>  [17,]     1     0     0     1     1     1     1     1     0     0     0     1     1     0     1
#>  [18,]     1     0     1     0     0     1     0     1     1     1     0     0     0     0     0
#>  [19,]     1     1     1     1     1     0     0     0     0     0     1     1     0     1     1
#>  [20,]     0     1     1     1     1     0     0     1     1     0     1     1     0     0     0
#>  [21,]     1     0     0     1     0     1     1     1     1     1     1     1     0     1     1
#>  [22,]     1     0     0     1     1     1     1     0     0     0     0     0     1     0     1
#>  [23,]     1     0     0     1     0     1     1     0     0     1     1     1     1     0     0
#>  [24,]     0     1     1     0     1     1     1     0     1     1     1     0     0     0     1
#>  [25,]     1     1     1     1     0     0     0     0     1     1     0     1     1     0     0
#>  [26,]     1     1     0     0     0     1     0     1     0     1     1     1     0     1     0
#>  [27,]     0     1     0     1     0     1     1     0     1     1     0     0     1     1     1
#>  [28,]     0     0     1     0     0     1     1     1     1     0     0     1     0     1     1
#>  [29,]     0     0     0     0     0     0     0     1     1     0     1     0     0     1     0
#>  [30,]     0     0     1     0     1     0     0     1     0     0     1     1     0     1     0
#>  [31,]     0     1     0     0     0     0     1     0     1     1     1     0     0     1     0
#>  [32,]     1     0     1     1     0     0     0     1     1     1     1     0     1     1     0
#>  [33,]     0     1     1     1     1     1     0     0     1     0     0     1     0     0     0
#>  [34,]     1     0     0     0     0     0     0     0     1     0     0     1     0     0     0
#>  [35,]     1     0     0     1     0     1     1     1     0     1     1     1     0     1     0
#>  [36,]     1     0     0     0     0     1     0     1     0     1     0     0     1     0     0
#>  [37,]     1     1     0     1     0     0     0     1     1     0     1     1     1     0     1
#>  [38,]     1     1     1     1     0     1     1     0     1     0     0     0     1     0     1
#>  [39,]     1     0     1     1     1     0     0     1     1     0     0     0     0     1     0
#>  [40,]     1     0     0     0     1     1     0     1     0     1     1     1     0     0     0
#>  [41,]     0     0     0     1     0     0     0     0     1     0     0     1     1     1     1
#>  [42,]     0     0     1     0     0     1     1     1     0     1     0     0     1     0     0
#>  [43,]     0     1     1     0     0     1     1     0     0     1     0     1     0     1     1
#>  [44,]     0     1     0     1     1     1     0     0     0     1     1     1     1     1     1
#>  [45,]     1     0     0     1     1     1     0     0     1     1     0     0     1     0     1
#>  [46,]     0     1     1     0     1     0     0     1     1     1     0     0     0     1     1
#>  [47,]     1     0     0     0     0     1     0     0     0     1     1     0     0     0     1
#>  [48,]     0     0     1     0     1     0     1     1     0     1     0     0     0     1     1
#>  [49,]     0     0     1     0     1     1     1     1     1     1     1     0     0     0     1
#>  [50,]     0     0     1     0     0     1     0     1     1     1     0     1     1     0     0
#>  [51,]     1     0     0     0     0     0     0     0     1     0     0     1     0     1     0
#>  [52,]     0     1     1     0     1     0     0     0     1     0     1     1     1     0     1
#>  [53,]     1     1     1     1     0     1     1     0     0     1     0     1     1     1     1
#>  [54,]     0     0     1     0     1     0     0     0     1     1     0     1     1     0     1
#>  [55,]     1     1     0     1     1     0     0     1     0     0     1     0     0     0     1
#>  [56,]     0     0     0     0     1     0     0     0     0     1     0     1     0     0     0
#>  [57,]     0     0     0     0     0     0     1     0     1     0     1     1     0     0     0
#>  [58,]     1     1     1     1     0     0     1     1     1     1     1     0     1     0     0
#>  [59,]     0     0     0     0     1     1     1     1     1     0     1     1     0     0     1
#>  [60,]     1     1     0     0     1     1     1     1     1     1     0     0     1     0     1
#>  [61,]     1     0     0     0     1     1     0     1     1     1     0     0     1     0     0
#>  [62,]     1     1     0     1     0     0     0     0     1     0     1     1     1     1     0
#>  [63,]     1     1     1     0     1     0     1     1     0     1     1     0     0     0     1
#>  [64,]     1     1     0     1     0     0     0     0     1     1     0     0     0     0     0
#>  [65,]     0     0     1     0     1     1     1     0     1     0     0     0     0     1     0
#>  [66,]     1     1     0     1     0     1     1     0     0     1     0     0     0     1     0
#>  [67,]     1     0     1     1     1     0     1     0     0     0     0     1     0     0     1
#>  [68,]     0     1     1     0     0     1     0     0     1     0     1     0     0     1     1
#>  [69,]     0     0     1     0     0     0     1     0     0     1     0     0     0     0     1
#>  [70,]     1     0     1     1     0     0     0     0     1     0     1     0     0     0     1
#>  [71,]     1     1     0     0     0     1     0     1     1     0     1     0     1     1     0
#>  [72,]     1     0     0     1     0     1     0     1     1     1     1     0     1     0     1
#>  [73,]     1     1     0     1     1     1     0     0     0     0     0     0     0     0     1
#>  [74,]     0     1     1     1     0     1     1     0     1     1     1     0     1     0     1
#>  [75,]     0     1     1     1     1     0     1     0     0     1     1     0     1     1     1
#>  [76,]     0     1     1     0     1     1     1     0     1     0     0     1     0     0     0
#>  [77,]     1     0     0     1     0     1     1     0     0     0     0     0     0     0     0
#>  [78,]     0     0     1     1     0     0     0     1     1     0     1     0     0     0     1
#>  [79,]     1     1     0     1     1     1     1     0     1     1     0     1     1     0     1
#>  [80,]     1     1     1     1     0     0     0     1     0     0     0     0     0     1     1
#>  [81,]     0     0     0     1     1     1     0     1     1     0     1     1     1     1     1
#>  [82,]     0     1     1     1     1     0     1     0     0     0     0     1     0     0     1
#>  [83,]     1     1     1     1     1     0     1     1     0     1     0     1     1     1     1
#>  [84,]     0     0     1     1     0     1     1     1     0     1     0     0     1     0     0
#>  [85,]     0     0     0     0     1     0     1     0     1     1     1     1     0     1     1
#>  [86,]     1     0     0     1     0     1     0     1     1     1     0     1     1     0     1
#>  [87,]     1     0     1     0     0     0     1     0     0     0     0     0     0     1     1
#>  [88,]     0     0     0     1     0     1     0     1     0     1     0     0     0     1     0
#>  [89,]     0     1     0     1     0     1     1     0     0     0     0     0     0     0     1
#>  [90,]     0     1     1     1     1     0     0     1     0     0     0     1     1     1     0
#>  [91,]     1     0     0     0     1     1     1     1     1     0     1     0     0     1     0
#>  [92,]     0     1     1     0     0     1     1     1     0     1     1     0     1     0     1
#>  [93,]     1     0     0     1     1     0     0     0     1     1     1     0     0     1     0
#>  [94,]     0     0     1     0     0     1     1     1     0     0     0     0     0     1     1
#>  [95,]     1     0     1     0     0     0     0     1     0     0     1     1     0     0     0
#>  [96,]     1     1     1     0     1     0     0     1     0     0     1     0     1     1     1
#>  [97,]     0     1     0     1     1     0     1     1     1     1     0     1     0     0     0
#>  [98,]     0     0     0     1     1     1     1     0     1     0     1     1     1     1     0
#>  [99,]     0     1     0     1     0     1     0     0     0     1     0     1     1     0     1
#> [100,]     0     1     1     1     0     1     1     0     1     1     0     1     1     0     1
#>        [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85] [,86] [,87] [,88] [,89] [,90] [,91] [,92]
#>   [1,]     0     0     0     0     1     0     0     1     0     1     1     1     1     0     1
#>   [2,]     1     0     1     1     0     0     1     1     1     1     1     1     0     0     0
#>   [3,]     1     1     1     0     1     0     1     1     1     1     1     0     1     1     1
#>   [4,]     1     0     1     1     0     0     0     0     0     0     1     0     0     1     0
#>   [5,]     1     0     0     1     1     1     0     0     1     0     1     0     1     1     0
#>   [6,]     1     0     1     0     0     0     0     0     1     0     0     1     1     0     0
#>   [7,]     1     0     0     1     0     0     1     0     1     0     1     1     1     1     0
#>   [8,]     0     0     0     0     0     1     1     1     1     0     0     0     1     0     1
#>   [9,]     0     1     0     1     0     0     1     0     0     0     0     1     1     0     0
#>  [10,]     1     1     1     1     1     1     0     1     1     1     1     0     1     1     1
#>  [11,]     1     0     1     0     1     1     1     1     0     0     0     0     1     0     1
#>  [12,]     0     1     1     1     0     1     0     0     0     0     1     1     1     1     1
#>  [13,]     0     0     0     1     1     1     1     0     1     1     1     0     0     1     1
#>  [14,]     1     0     0     0     1     0     1     0     1     1     1     1     1     0     1
#>  [15,]     1     0     0     1     0     1     1     0     0     0     1     0     0     0     1
#>  [16,]     0     0     0     1     1     1     0     0     0     0     1     1     1     0     1
#>  [17,]     0     1     0     0     0     1     0     1     1     0     1     0     0     0     1
#>  [18,]     1     1     1     1     0     1     1     0     1     1     0     0     0     1     1
#>  [19,]     1     0     1     0     0     1     1     0     0     0     1     1     0     0     0
#>  [20,]     1     1     0     0     0     0     0     1     1     0     1     0     1     1     1
#>  [21,]     1     0     0     1     0     0     0     0     1     0     0     0     1     1     1
#>  [22,]     1     1     1     0     0     1     1     1     0     1     1     1     1     1     0
#>  [23,]     1     0     0     0     1     0     0     1     1     1     0     0     0     1     1
#>  [24,]     1     0     0     1     0     1     1     0     1     1     0     0     0     0     1
#>  [25,]     0     1     1     1     0     0     0     1     0     0     1     1     1     1     0
#>  [26,]     0     0     0     1     1     1     1     1     1     0     0     0     1     0     1
#>  [27,]     0     1     1     0     0     1     1     0     0     1     1     0     0     1     0
#>  [28,]     1     1     1     0     0     0     0     1     1     1     0     0     1     1     0
#>  [29,]     0     1     1     1     1     0     0     1     0     1     0     1     0     1     1
#>  [30,]     0     0     0     1     0     1     0     1     1     0     1     1     0     1     1
#>  [31,]     1     1     1     1     0     0     1     0     1     0     0     1     1     0     1
#>  [32,]     0     0     1     0     0     1     0     1     1     0     0     1     0     1     1
#>  [33,]     0     0     0     1     1     0     1     1     1     0     0     1     1     1     0
#>  [34,]     1     1     0     1     0     1     0     0     1     1     0     1     1     0     0
#>  [35,]     0     0     1     1     1     0     0     0     0     1     0     1     0     0     0
#>  [36,]     1     0     1     1     0     1     0     0     1     0     0     0     0     1     0
#>  [37,]     0     1     1     0     1     0     1     0     1     0     0     0     0     0     0
#>  [38,]     0     0     1     1     0     0     0     0     1     0     0     0     1     0     0
#>  [39,]     1     1     1     1     1     1     0     0     1     0     0     1     1     0     1
#>  [40,]     1     1     1     0     1     1     1     1     1     1     0     1     0     1     1
#>  [41,]     0     1     1     1     0     0     1     0     1     0     0     1     1     1     1
#>  [42,]     1     1     0     0     0     1     1     0     0     0     1     1     0     1     1
#>  [43,]     1     1     0     0     0     1     0     0     0     1     1     0     1     1     1
#>  [44,]     0     0     1     0     1     0     1     1     1     0     0     1     1     1     0
#>  [45,]     1     1     1     1     1     0     0     0     1     1     0     1     0     1     1
#>  [46,]     1     0     1     0     1     0     1     0     1     0     1     1     0     0     0
#>  [47,]     1     1     0     1     0     0     0     0     0     1     1     1     1     1     0
#>  [48,]     0     1     0     1     1     1     1     1     1     1     0     0     1     1     0
#>  [49,]     1     0     0     0     0     1     0     0     1     0     0     0     0     0     0
#>  [50,]     1     0     0     1     1     1     0     0     0     0     1     0     1     0     0
#>  [51,]     1     1     1     0     0     0     1     1     1     1     0     0     0     1     1
#>  [52,]     0     1     0     0     1     1     0     0     0     0     0     1     0     0     1
#>  [53,]     0     1     1     1     0     0     1     0     1     1     0     0     1     0     1
#>  [54,]     1     0     0     1     1     1     0     1     0     1     1     1     1     0     0
#>  [55,]     0     0     0     0     1     1     0     0     1     1     1     1     0     0     0
#>  [56,]     0     0     0     0     0     0     1     1     1     0     0     1     0     0     0
#>  [57,]     0     0     0     0     0     1     1     1     0     0     0     0     0     1     1
#>  [58,]     1     1     0     0     0     0     0     0     0     1     0     1     0     0     0
#>  [59,]     0     0     0     1     1     1     1     1     1     0     1     0     1     0     0
#>  [60,]     0     1     1     0     0     0     1     1     1     1     1     1     0     0     0
#>  [61,]     1     1     1     0     0     0     0     1     1     1     0     1     1     0     1
#>  [62,]     0     0     0     0     0     0     1     1     1     1     0     0     0     0     1
#>  [63,]     0     1     0     0     1     0     0     0     1     0     0     1     0     0     1
#>  [64,]     1     1     1     1     0     0     1     0     1     1     0     0     0     0     0
#>  [65,]     1     0     1     1     1     1     1     0     0     1     0     0     1     1     1
#>  [66,]     0     0     0     0     0     1     1     0     0     0     0     1     1     1     1
#>  [67,]     1     1     1     0     0     1     1     1     0     0     1     0     1     0     1
#>  [68,]     1     0     0     0     0     0     1     1     0     1     0     1     1     1     0
#>  [69,]     1     0     0     0     1     0     1     0     1     0     0     0     0     0     1
#>  [70,]     0     0     1     0     0     0     1     1     1     1     0     0     0     0     1
#>  [71,]     1     1     0     1     0     1     1     0     1     0     0     1     0     0     1
#>  [72,]     0     1     0     0     1     1     1     0     1     1     1     1     1     1     1
#>  [73,]     1     0     1     1     0     0     1     1     1     1     0     1     0     0     1
#>  [74,]     0     1     0     0     0     0     1     0     0     1     0     1     0     0     1
#>  [75,]     0     0     0     0     0     1     0     1     0     0     1     0     1     1     0
#>  [76,]     1     1     1     0     1     1     1     1     0     0     0     1     0     0     0
#>  [77,]     0     0     1     1     0     0     1     1     0     0     0     0     1     1     0
#>  [78,]     0     0     1     1     1     1     1     1     0     0     1     1     1     0     0
#>  [79,]     1     1     0     0     1     0     0     0     1     1     0     1     0     1     0
#>  [80,]     1     1     0     0     1     1     1     0     1     0     1     0     0     1     0
#>  [81,]     0     1     1     1     0     0     1     0     1     0     1     0     1     1     0
#>  [82,]     1     0     0     1     0     1     1     0     1     1     0     1     0     0     1
#>  [83,]     0     0     1     0     1     0     1     1     1     0     1     0     1     0     0
#>  [84,]     1     1     1     0     1     1     0     0     1     1     1     0     0     0     0
#>  [85,]     0     1     0     0     0     1     1     0     1     1     1     1     0     0     1
#>  [86,]     0     1     1     0     1     0     1     1     1     0     1     0     0     0     1
#>  [87,]     1     1     1     0     0     0     0     1     1     0     1     0     0     1     0
#>  [88,]     1     1     0     1     0     1     0     1     0     0     0     1     1     0     1
#>  [89,]     1     1     1     1     1     0     1     1     1     1     1     0     1     1     1
#>  [90,]     1     1     0     1     0     0     1     1     1     1     0     0     0     0     1
#>  [91,]     1     0     1     1     1     0     1     0     0     0     1     1     1     0     1
#>  [92,]     1     1     1     1     1     1     0     0     0     0     1     0     1     1     0
#>  [93,]     1     1     0     1     1     0     1     0     0     1     1     0     0     1     1
#>  [94,]     0     0     1     1     1     1     0     1     0     1     1     0     0     0     1
#>  [95,]     0     1     0     1     0     0     1     1     1     1     0     1     1     0     0
#>  [96,]     0     0     1     1     0     0     1     0     1     1     0     1     0     0     0
#>  [97,]     1     1     1     1     1     0     0     1     1     0     0     1     1     0     0
#>  [98,]     0     1     1     0     0     1     1     1     0     1     1     0     1     1     1
#>  [99,]     0     1     1     1     0     1     0     1     1     1     1     0     0     0     1
#> [100,]     1     1     0     0     1     1     1     1     0     0     1     0     1     0     1
#>        [,93] [,94] [,95] [,96] [,97] [,98] [,99] [,100]
#>   [1,]     0     1     1     0     1     1     0      1
#>   [2,]     0     1     0     1     0     0     0      1
#>   [3,]     0     1     0     1     0     1     0      1
#>   [4,]     1     0     1     1     1     0     0      0
#>   [5,]     1     1     1     1     1     1     1      0
#>   [6,]     0     0     1     0     0     0     0      0
#>   [7,]     0     0     1     0     1     1     0      1
#>   [8,]     1     1     0     1     1     1     0      0
#>   [9,]     0     0     1     1     0     0     1      1
#>  [10,]     1     0     0     0     1     1     1      1
#>  [11,]     0     0     1     0     0     1     0      0
#>  [12,]     0     1     0     1     0     0     1      1
#>  [13,]     1     1     0     0     1     1     0      0
#>  [14,]     0     1     0     0     1     0     1      1
#>  [15,]     0     1     0     1     1     0     0      0
#>  [16,]     0     0     0     1     1     1     1      0
#>  [17,]     0     0     0     1     0     1     0      1
#>  [18,]     1     0     0     1     0     1     0      1
#>  [19,]     1     1     0     0     0     0     0      0
#>  [20,]     1     1     1     0     1     0     1      0
#>  [21,]     0     1     1     1     1     0     0      1
#>  [22,]     0     0     1     1     0     0     0      1
#>  [23,]     1     0     1     0     1     1     0      0
#>  [24,]     1     1     0     0     1     0     1      1
#>  [25,]     1     1     0     1     0     1     1      1
#>  [26,]     1     1     0     0     1     1     0      1
#>  [27,]     1     0     1     0     1     0     1      0
#>  [28,]     1     1     1     0     1     1     0      1
#>  [29,]     1     1     0     1     1     0     0      1
#>  [30,]     0     0     1     0     1     0     1      1
#>  [31,]     0     0     0     0     0     1     0      0
#>  [32,]     1     1     0     1     1     0     0      0
#>  [33,]     0     0     0     0     0     0     0      0
#>  [34,]     1     0     1     0     1     1     0      0
#>  [35,]     1     1     1     0     1     0     0      1
#>  [36,]     1     1     1     0     1     1     1      1
#>  [37,]     0     0     1     1     1     1     1      0
#>  [38,]     0     0     1     0     0     0     1      0
#>  [39,]     0     1     1     0     0     0     1      1
#>  [40,]     0     0     1     0     1     1     0      0
#>  [41,]     0     1     0     0     1     1     0      1
#>  [42,]     1     1     0     1     1     0     1      0
#>  [43,]     1     0     0     0     0     1     1      0
#>  [44,]     1     1     0     1     0     1     0      1
#>  [45,]     0     1     0     0     0     1     0      1
#>  [46,]     0     1     0     0     1     1     0      1
#>  [47,]     1     1     1     1     1     1     0      1
#>  [48,]     0     1     0     1     1     0     0      0
#>  [49,]     1     1     1     1     0     0     0      1
#>  [50,]     1     1     1     0     1     1     0      0
#>  [51,]     0     0     0     1     0     1     0      0
#>  [52,]     1     0     0     1     0     1     1      1
#>  [53,]     1     0     1     1     1     1     1      0
#>  [54,]     1     1     1     1     0     0     1      1
#>  [55,]     1     0     1     1     1     1     0      1
#>  [56,]     0     0     1     0     1     0     1      0
#>  [57,]     1     0     1     0     1     0     0      0
#>  [58,]     0     1     0     0     0     1     1      1
#>  [59,]     1     1     0     1     0     0     0      0
#>  [60,]     0     0     1     0     1     1     0      1
#>  [61,]     1     0     1     0     0     0     1      0
#>  [62,]     1     0     1     1     0     0     0      0
#>  [63,]     1     1     0     0     1     1     1      1
#>  [64,]     0     1     1     0     1     0     1      0
#>  [65,]     1     0     0     0     0     1     1      0
#>  [66,]     0     1     0     0     0     0     1      1
#>  [67,]     1     0     1     0     1     1     0      1
#>  [68,]     1     0     1     1     1     0     1      1
#>  [69,]     1     1     1     1     1     1     0      1
#>  [70,]     0     1     1     1     1     1     1      0
#>  [71,]     0     1     0     1     1     1     1      0
#>  [72,]     1     1     0     0     1     0     0      1
#>  [73,]     1     1     1     0     1     0     0      0
#>  [74,]     0     0     1     1     0     0     0      0
#>  [75,]     0     1     1     1     0     0     1      0
#>  [76,]     1     1     0     0     1     0     0      1
#>  [77,]     1     1     0     1     1     1     0      1
#>  [78,]     1     1     0     0     1     0     1      1
#>  [79,]     0     1     1     1     1     0     0      1
#>  [80,]     0     0     0     0     0     1     0      1
#>  [81,]     1     1     0     0     1     0     1      1
#>  [82,]     1     1     0     0     1     1     0      1
#>  [83,]     1     1     0     1     0     0     0      0
#>  [84,]     1     0     0     0     0     1     1      0
#>  [85,]     0     1     0     1     1     1     0      0
#>  [86,]     0     0     1     1     0     1     0      1
#>  [87,]     1     1     0     1     0     1     1      0
#>  [88,]     1     0     0     0     1     1     1      1
#>  [89,]     1     1     1     1     1     1     0      0
#>  [90,]     0     1     0     1     0     1     1      1
#>  [91,]     0     1     1     1     0     0     1      1
#>  [92,]     1     1     0     1     0     0     0      0
#>  [93,]     0     1     1     1     0     1     1      1
#>  [94,]     1     1     1     0     0     1     1      0
#>  [95,]     0     1     0     1     0     1     0      0
#>  [96,]     0     0     1     1     0     0     0      0
#>  [97,]     0     1     0     1     0     0     1      0
#>  [98,]     1     0     0     0     0     1     0      1
#>  [99,]     0     1     1     1     1     1     0      1
#> [100,]     1     1     0     0     0     0     0      0

# you can count how many ties a person has:
rowsums <- rowSums(mat)
rowsums

#>   [1] 57 60 60 44 55 50 50 51 43 52 43 57 54 55 50 43 44 56 52 48 50 52 46 51 54 53 49 53 44 50 52
#>  [32] 51 45 46 58 57 53 46 51 54 55 50 50 54 45 45 51 54 48 50 47 48 57 51 49 43 45 47 49 47 47 53
#>  [63] 52 42 57 48 57 50 53 46 49 52 48 42 54 50 48 47 48 45 53 43 52 51 55 60 45 46 46 54 54 48 59
#>  [94] 55 44 44 46 58 50 53

# you can see the percentage of 1's
rowmeans <- rowMeans(mat)
rowmeans

#>   [1] 0.57 0.60 0.60 0.44 0.55 0.50 0.50 0.51 0.43 0.52 0.43 0.57 0.54 0.55 0.50 0.43 0.44 0.56 0.52
#>  [20] 0.48 0.50 0.52 0.46 0.51 0.54 0.53 0.49 0.53 0.44 0.50 0.52 0.51 0.45 0.46 0.58 0.57 0.53 0.46
#>  [39] 0.51 0.54 0.55 0.50 0.50 0.54 0.45 0.45 0.51 0.54 0.48 0.50 0.47 0.48 0.57 0.51 0.49 0.43 0.45
#>  [58] 0.47 0.49 0.47 0.47 0.53 0.52 0.42 0.57 0.48 0.57 0.50 0.53 0.46 0.49 0.52 0.48 0.42 0.54 0.50
#>  [77] 0.48 0.47 0.48 0.45 0.53 0.43 0.52 0.51 0.55 0.60 0.45 0.46 0.46 0.54 0.54 0.48 0.59 0.55 0.44
#>  [96] 0.44 0.46 0.58 0.50 0.53

# can say the diagonal needs to be a NA because people can't have ties with themselves it depends
# on the package you use whether you have to say NA or 0
diag(mat) <- NA
mat

#>        [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16] [,17]
#>   [1,]   NA    1    0    1    0    0    0    1    0     1     0     1     0     0     1     0     1
#>   [2,]    1   NA    1    1    0    0    1    0    0     1     0     1     1     1     0     0     1
#>   [3,]    0    1   NA    0    0    1    1    0    0     1     1     0     1     0     0     0     1
#>   [4,]    1    0    0   NA    1    1    0    1    0     1     1     1     0     1     1     1     0
#>   [5,]    0    0    0    0   NA    1    1    0    1     1     0     0     0     1     0     1     0
#>   [6,]    1    0    0    0    0   NA    1    0    0     0     1     0     0     0     0     0     0
#>   [7,]    0    1    0    0    1    1   NA    0    1     0     0     0     1     0     0     1     0
#>   [8,]    1    0    1    1    1    0    1   NA    0     0     0     1     1     1     0     1     1
#>   [9,]    1    0    0    1    1    0    1    1   NA     0     0     1     1     1     0     0     0
#>  [10,]    1    0    1    0    0    0    1    0    1    NA     1     1     0     1     0     1     1
#>  [11,]    0    0    1    1    1    1    1    0    1     1    NA     1     0     1     1     1     0
#>  [12,]    0    1    1    0    0    0    0    0    1     1     1    NA     0     1     0     1     1
#>  [13,]    0    1    1    0    0    0    0    1    1     1     1     1    NA     1     1     0     0
#>  [14,]    1    1    1    0    0    1    1    1    0     1     0     1     0    NA     1     1     0
#>  [15,]    1    1    0    0    0    0    1    0    0     1     0     1     1     0    NA     0     1
#>  [16,]    1    0    1    1    0    0    0    0    0     0     1     1     1     0     1    NA     1
#>  [17,]    0    1    1    0    1    0    1    0    1     0     0     0     0     0     0     1    NA
#>  [18,]    0    1    0    0    0    1    1    1    1     0     1     1     1     1     0     0     1
#>  [19,]    1    0    0    1    0    1    1    1    1     1     0     1     1     1     1     0     0
#>  [20,]    1    0    0    0    1    1    1    1    0     0     1     1     1     1     1     0     1
#>  [21,]    0    0    0    0    1    0    1    0    1     1     0     0     1     0     1     1     0
#>  [22,]    0    0    0    1    1    0    1    1    0     1     0     1     0     0     0     1     1
#>  [23,]    0    1    0    1    0    1    0    0    1     0     0     1     0     0     0     1     1
#>  [24,]    0    1    1    1    1    0    1    0    1     1     1     0     1     1     1     1     0
#>  [25,]    1    0    0    1    0    0    1    1    0     0     0     1     0     1     0     0     1
#>  [26,]    0    1    0    1    0    0    0    1    1     1     0     1     0     1     0     1     1
#>  [27,]    0    1    1    1    0    1    0    0    0     0     0     1     0     1     0     0     1
#>  [28,]    0    1    1    1    1    1    0    0    1     0     1     1     1     0     0     0     0
#>  [29,]    1    1    1    0    1    0    0    0    1     0     1     0     1     1     1     1     1
#>  [30,]    0    0    0    1    0    1    0    0    1     1     0     1     1     1     1     1     0
#>  [31,]    1    1    0    0    0    1    0    0    1     0     1     1     1     1     1     1     1
#>  [32,]    1    0    1    0    1    0    1    0    0     0     1     1     1     1     1     1     0
#>  [33,]    0    0    1    1    1    1    1    1    0     0     0     1     1     1     0     0     0
#>  [34,]    0    0    0    0    1    1    0    1    0     0     0     1     1     0     1     0     0
#>  [35,]    1    0    0    0    1    1    1    0    1     1     1     1     0     1     1     0     1
#>  [36,]    1    0    1    1    1    0    0    1    0     0     0     1     0     0     1     1     1
#>  [37,]    0    1    1    1    1    0    0    0    0     1     1     0     0     0     1     0     1
#>  [38,]    1    1    0    0    0    0    0    0    1     1     0     1     0     1     0     1     1
#>  [39,]    0    1    0    1    0    1    1    1    0     0     0     0     0     1     0     1     1
#>  [40,]    0    0    1    0    0    1    0    1    0     0     0     0     1     1     1     1     1
#>  [41,]    1    1    0    0    0    1    0    1    0     1     0     1     0     1     0     0     0
#>  [42,]    1    0    0    1    1    1    1    0    0     0     1     1     1     0     0     0     1
#>  [43,]    1    1    1    0    1    0    1    0    1     0     0     0     1     1     1     1     0
#>  [44,]    0    1    1    1    1    0    1    1    0     1     0     1     1     0     0     1     0
#>  [45,]    1    0    0    1    0    1    1    0    1     1     1     0     1     0     1     1     0
#>  [46,]    0    0    1    1    1    0    0    0    1     1     1     0     1     1     0     0     0
#>  [47,]    0    1    0    1    0    1    0    1    1     1     1     0     0     0     1     0     1
#>  [48,]    0    0    0    1    0    0    0    1    0     0     0     1     1     1     0     1     1
#>  [49,]    1    0    1    1    1    0    0    1    0     1     0     0     0     1     1     0     1
#>  [50,]    1    0    0    1    0    0    1    0    0     1     0     0     0     0     1     1     0
#>  [51,]    1    0    0    0    1    0    1    1    0     1     1     0     1     0     0     1     1
#>  [52,]    1    1    0    1    1    0    1    1    0     1     1     0     0     0     0     0     0
#>  [53,]    1    1    1    0    1    0    1    0    1     0     0     0     0     1     1     1     0
#>  [54,]    1    0    1    0    0    0    0    1    1     0     0     0     1     0     1     0     0
#>  [55,]    0    1    0    0    0    1    0    0    0     0     1     0     1     0     0     1     0
#>  [56,]    0    1    1    0    0    1    1    0    0     1     0     1     1     1     1     1     0
#>  [57,]    0    0    1    1    0    0    1    0    0     0     0     0     0     0     1     0     1
#>  [58,]    1    0    0    1    1    1    1    1    0     1     1     1     1     0     1     1     0
#>  [59,]    0    0    1    1    0    1    1    1    1     0     0     0     0     1     1     1     1
#>  [60,]    0    1    1    1    1    0    1    1    1     1     1     1     0     0     0     1     1
#>  [61,]    0    1    1    0    0    1    1    1    0     1     1     1     0     1     1     0     1
#>  [62,]    0    0    1    1    1    1    0    1    0     1     1     1     1     1     1     1     0
#>  [63,]    0    1    0    0    0    1    0    1    1     1     1     0     1     1     1     1     1
#>  [64,]    0    0    0    1    1    0    0    1    1     0     0     1     1     1     1     0     1
#>  [65,]    0    0    1    0    1    0    1    1    1     1     1     1     0     1     1     1     1
#>  [66,]    0    1    1    0    0    1    1    1    1     1     1     1     0     1     0     0     0
#>  [67,]    0    1    0    0    1    1    0    0    0     1     0     0     1     1     1     0     0
#>  [68,]    1    0    1    1    0    1    1    1    0     0     0     1     1     1     0     0     0
#>  [69,]    0    0    1    1    1    0    0    0    0     0     1     0     0     0     0     0     0
#>  [70,]    1    1    0    1    1    0    1    0    1     1     0     1     1     0     0     0     0
#>  [71,]    0    1    1    1    0    0    0    0    0     0     1     1     1     0     1     1     0
#>  [72,]    0    1    0    0    1    1    1    0    0     1     1     0     1     0     1     1     1
#>  [73,]    0    0    0    0    1    1    1    1    0     1     0     0     1     0     0     1     1
#>  [74,]    1    0    0    0    0    0    0    1    0     1     1     1     1     0     1     1     0
#>  [75,]    0    1    0    1    1    1    1    1    1     1     0     0     1     1     0     1     1
#>  [76,]    1    0    1    0    1    1    0    1    0     1     1     1     1     1     1     1     0
#>  [77,]    1    0    1    0    1    1    1    1    1     1     0     0     1     1     1     1     0
#>  [78,]    0    1    1    0    0    0    1    1    1     0     0     1     0     1     1     1     1
#>  [79,]    1    0    1    0    0    0    1    0    0     0     0     1     0     0     0     1     1
#>  [80,]    1    0    0    1    1    1    0    1    0     1     1     1     1     0     1     1     0
#>  [81,]    1    0    0    1    1    1    0    1    0     0     0     0     0     1     0     0     0
#>  [82,]    1    1    1    0    1    0    1    1    1     0     1     0     0     0     1     0     0
#>  [83,]    1    0    1    1    1    0    0    0    1     0     0     1     0     0     1     0     1
#>  [84,]    0    0    0    0    0    0    0    1    1     0     1     1     1     0     0     0     0
#>  [85,]    1    1    0    0    1    1    1    0    0     0     0     1     1     0     1     1     0
#>  [86,]    1    0    0    1    0    1    1    1    1     1     0     0     0     0     1     0     1
#>  [87,]    1    0    1    1    1    0    1    0    0     0     1     0     0     0     1     1     1
#>  [88,]    0    1    0    1    1    1    1    1    0     1     0     1     1     0     1     0     0
#>  [89,]    0    0    1    1    1    0    1    1    0     0     0     1     0     0     1     1     0
#>  [90,]    0    0    1    0    1    1    1    1    0     0     0     0     1     0     1     1     1
#>  [91,]    0    0    0    0    1    1    0    1    0     0     0     1     0     0     1     1     0
#>  [92,]    0    0    0    1    0    1    0    1    1     1     0     0     0     1     1     0     0
#>  [93,]    1    0    0    1    1    1    1    0    1     0     1     1     0     1     1     1     1
#>  [94,]    0    0    0    1    1    0    0    1    1     0     1     1     0     0     0     1     1
#>  [95,]    0    1    0    1    0    1    0    1    0     1     1     0     0     1     0     1     0
#>  [96,]    1    1    0    1    1    1    1    0    1     0     1     0     1     1     1     0     0
#>  [97,]    0    0    0    0    1    0    1    0    0     0     0     1     1     1     0     1     1
#>  [98,]    1    1    0    0    0    0    1    1    0     1     1     0     1     1     0     0     0
#>  [99,]    0    1    0    0    0    1    0    0    0     0     1     0     0     0     1     1     0
#> [100,]    0    0    0    1    1    0    1    0    0     1     0     1     1     1     0     1     0
#>        [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25] [,26] [,27] [,28] [,29] [,30] [,31] [,32]
#>   [1,]     0     1     1     0     0     1     1     1     1     1     1     0     0     1     0
#>   [2,]     1     0     0     0     0     1     0     0     0     0     1     0     1     1     0
#>   [3,]     1     0     1     1     0     0     0     0     0     1     0     0     0     0     0
#>   [4,]     0     1     1     0     1     0     0     1     1     1     0     1     0     1     1
#>   [5,]     1     0     1     1     1     1     0     0     0     1     1     1     1     0     0
#>   [6,]     0     0     0     1     1     1     1     1     1     0     1     1     0     0     1
#>   [7,]     0     1     0     1     1     1     1     0     0     1     1     0     1     1     1
#>   [8,]     1     0     1     1     0     1     1     0     1     0     0     0     1     0     0
#>   [9,]     1     0     0     0     0     1     1     0     0     0     0     1     0     1     0
#>  [10,]     1     1     1     1     0     1     1     0     0     0     1     0     1     1     1
#>  [11,]     0     1     0     0     0     0     0     0     1     0     1     0     1     0     1
#>  [12,]     1     0     0     0     0     0     1     1     1     0     0     1     1     0     1
#>  [13,]     1     0     1     0     0     0     0     0     1     0     0     1     0     0     1
#>  [14,]     0     0     0     0     1     1     1     0     1     0     0     0     1     1     0
#>  [15,]     1     0     0     1     0     1     0     0     0     0     0     0     0     0     1
#>  [16,]     0     1     0     0     0     0     0     1     1     0     0     1     1     1     0
#>  [17,]     1     0     1     0     0     0     1     1     1     1     1     0     1     1     0
#>  [18,]    NA     0     0     1     0     0     1     1     0     1     0     1     1     0     1
#>  [19,]     0    NA     1     1     0     1     1     1     0     0     0     1     0     1     0
#>  [20,]     0     1    NA     1     1     1     0     1     0     1     0     0     1     0     0
#>  [21,]     1     0     1    NA     0     0     0     1     1     0     1     1     0     1     1
#>  [22,]     0     0     0     1    NA     1     0     1     1     1     0     0     0     1     0
#>  [23,]     0     1     1     1     0    NA     0     1     0     0     1     0     1     1     1
#>  [24,]     1     1     1     0     1     0    NA     0     1     1     1     1     0     1     0
#>  [25,]     0     0     0     0     0     1     0    NA     1     0     1     1     0     0     0
#>  [26,]     1     0     1     1     1     1     0     1    NA     1     1     1     0     0     1
#>  [27,]     1     0     0     0     1     0     0     0     0    NA     1     1     1     0     0
#>  [28,]     0     1     0     1     1     1     1     1     1     1    NA     0     0     1     0
#>  [29,]     0     0     1     1     1     1     1     1     0     0     0    NA     0     0     0
#>  [30,]     1     0     0     0     1     1     1     0     1     1     0     0    NA     0     0
#>  [31,]     1     1     1     1     0     1     0     1     1     1     1     1     0    NA     0
#>  [32,]     1     1     0     0     0     1     1     1     1     0     1     1     1     1    NA
#>  [33,]     1     1     0     1     1     0     1     0     0     0     0     0     1     1     0
#>  [34,]     0     1     0     1     1     0     0     1     1     1     1     0     1     1     1
#>  [35,]     0     1     1     0     1     1     1     0     1     0     0     1     1     1     1
#>  [36,]     1     0     1     0     0     1     0     0     1     1     1     0     0     0     1
#>  [37,]     0     1     0     1     0     0     1     0     0     1     1     0     0     1     1
#>  [38,]     1     1     1     0     1     0     0     1     0     0     1     0     0     0     0
#>  [39,]     0     0     0     0     0     0     1     1     0     1     1     1     1     0     0
#>  [40,]     0     1     0     1     0     0     1     0     0     1     0     1     0     1     1
#>  [41,]     1     1     0     1     0     1     1     1     1     0     0     0     1     1     1
#>  [42,]     1     1     0     0     1     0     0     0     1     0     1     1     1     1     1
#>  [43,]     0     0     0     0     1     1     1     0     0     0     0     1     0     0     1
#>  [44,]     1     1     1     0     1     0     1     1     1     1     1     1     1     0     1
#>  [45,]     1     0     1     0     0     0     1     1     0     1     1     0     0     0     1
#>  [46,]     0     0     0     1     1     0     0     1     1     0     1     1     0     1     1
#>  [47,]     1     1     0     0     0     0     0     0     1     1     1     0     0     0     1
#>  [48,]     1     0     0     1     0     0     0     0     0     0     0     1     0     1     0
#>  [49,]     1     1     1     1     0     0     0     0     0     0     1     0     1     1     0
#>  [50,]     1     0     0     1     1     1     1     1     1     0     0     0     0     1     0
#>  [51,]     0     0     1     0     0     1     1     0     0     1     1     0     1     0     1
#>  [52,]     1     1     0     1     1     1     1     0     0     0     1     0     0     0     1
#>  [53,]     1     1     1     0     0     1     1     1     1     1     0     1     1     1     1
#>  [54,]     0     0     0     0     0     0     1     1     1     1     0     0     1     1     0
#>  [55,]     1     0     0     1     0     0     1     1     0     0     1     0     0     0     0
#>  [56,]     0     1     0     1     0     0     1     0     1     1     1     1     0     0     0
#>  [57,]     0     0     0     1     1     0     0     1     1     1     0     1     0     0     0
#>  [58,]     1     1     0     1     0     1     0     0     1     1     1     1     0     0     1
#>  [59,]     0     1     1     0     0     0     0     1     1     1     1     1     1     1     0
#>  [60,]     0     0     1     1     0     0     0     1     0     1     0     1     1     1     1
#>  [61,]     0     0     0     0     1     1     1     1     0     0     0     1     0     0     1
#>  [62,]     0     0     0     0     0     1     1     0     0     1     1     1     1     0     0
#>  [63,]     0     1     0     0     0     0     0     1     0     0     0     0     0     0     1
#>  [64,]     0     1     0     1     0     1     0     0     0     1     1     1     1     0     0
#>  [65,]     1     1     0     1     0     1     1     0     1     0     1     1     1     0     1
#>  [66,]     0     1     1     0     1     0     0     0     0     0     1     1     0     1     1
#>  [67,]     0     0     1     1     0     0     1     1     1     0     0     1     1     0     1
#>  [68,]     0     1     1     1     0     0     0     1     1     1     1     0     1     0     1
#>  [69,]     0     1     0     0     0     1     0     0     1     0     0     1     0     0     0
#>  [70,]     0     1     0     0     1     0     1     0     0     1     0     0     0     0     1
#>  [71,]     0     0     0     0     0     0     1     0     1     0     0     1     0     1     0
#>  [72,]     1     0     0     1     1     1     1     0     0     0     0     0     1     0     1
#>  [73,]     1     0     1     1     1     1     1     0     1     0     1     0     1     0     0
#>  [74,]     0     0     0     1     1     0     1     1     0     0     1     1     0     1     0
#>  [75,]     1     1     0     1     1     1     1     0     0     0     1     1     1     1     1
#>  [76,]     0     0     0     0     1     0     1     0     1     1     1     0     1     0     1
#>  [77,]     0     0     0     1     1     0     1     0     0     1     0     1     0     0     1
#>  [78,]     0     1     0     1     1     0     0     1     0     1     1     0     1     0     1
#>  [79,]     0     1     1     1     0     0     1     0     1     1     0     1     0     1     0
#>  [80,]     1     0     1     0     1     1     0     0     1     0     0     0     1     1     1
#>  [81,]     0     0     0     1     1     1     1     1     0     0     0     1     0     0     1
#>  [82,]     0     0     0     1     1     1     1     1     1     1     0     0     0     0     0
#>  [83,]     1     0     0     1     0     0     1     1     1     0     1     1     1     1     0
#>  [84,]     1     0     0     1     0     1     0     1     0     0     0     1     1     0     0
#>  [85,]     0     1     1     0     0     0     0     1     1     1     0     0     0     1     1
#>  [86,]     1     0     0     0     1     0     0     1     1     1     1     0     0     1     0
#>  [87,]     1     1     0     0     0     0     0     1     1     0     0     0     1     1     0
#>  [88,]     0     1     0     0     1     0     1     1     0     0     1     0     0     1     0
#>  [89,]     0     0     1     1     1     1     1     1     0     0     1     0     1     0     0
#>  [90,]     0     1     0     0     1     1     0     1     0     1     0     0     1     1     0
#>  [91,]     1     0     0     0     1     1     1     1     1     0     1     1     0     1     1
#>  [92,]     1     1     1     1     0     1     0     1     0     1     0     1     0     0     1
#>  [93,]     1     1     0     1     1     0     1     0     0     0     0     1     1     0     0
#>  [94,]     1     1     0     0     1     1     1     1     1     0     1     0     0     0     0
#>  [95,]     0     0     1     1     0     1     0     1     0     0     0     1     0     0     0
#>  [96,]     0     0     0     0     0     1     0     0     0     1     1     1     1     0     1
#>  [97,]     1     1     0     0     1     0     0     0     1     0     0     0     0     0     1
#>  [98,]     0     1     0     1     1     0     0     1     0     0     1     1     1     1     1
#>  [99,]     1     1     0     0     0     1     0     0     0     0     0     1     1     0     1
#> [100,]     0     0     1     1     1     1     0     1     1     1     0     0     0     1     1
#>        [,33] [,34] [,35] [,36] [,37] [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47]
#>   [1,]     0     0     0     0     0     0     0     1     1     1     0     1     0     1     0
#>   [2,]     1     0     0     1     0     1     0     1     0     1     1     0     0     1     0
#>   [3,]     0     0     1     1     1     1     0     0     1     0     0     0     1     1     1
#>   [4,]     1     1     1     0     1     0     0     0     0     0     0     1     1     1     0
#>   [5,]     0     0     1     1     0     1     1     0     0     0     0     1     0     1     1
#>   [6,]     0     1     1     1     0     1     1     0     0     1     1     0     0     0     0
#>   [7,]     0     1     0     1     0     1     0     1     1     1     1     0     0     0     1
#>   [8,]     1     0     0     1     1     1     0     1     0     1     0     0     1     1     0
#>   [9,]     0     0     1     0     0     0     1     0     0     1     1     0     1     1     1
#>  [10,]     0     1     1     1     1     1     1     1     0     0     1     1     0     1     1
#>  [11,]     1     1     0     1     0     0     0     0     1     1     0     0     0     1     0
#>  [12,]     0     1     0     0     1     1     1     1     0     1     1     1     1     0     0
#>  [13,]     0     0     1     0     1     1     0     0     0     0     1     1     0     0     1
#>  [14,]     1     0     1     0     1     0     0     1     0     1     0     0     0     0     1
#>  [15,]     0     1     1     1     0     1     0     1     1     0     0     0     0     0     0
#>  [16,]     0     1     0     1     0     1     0     0     1     0     1     0     0     1     1
#>  [17,]     0     1     0     0     0     1     0     0     0     0     1     0     0     1     0
#>  [18,]     1     1     0     1     1     1     1     0     1     1     1     0     1     1     1
#>  [19,]     1     1     0     1     0     1     1     0     1     0     1     0     0     1     1
#>  [20,]     1     0     0     0     0     0     0     1     0     0     0     1     0     0     1
#>  [21,]     0     0     0     0     1     0     0     1     0     1     1     0     1     1     1
#>  [22,]     1     0     0     1     0     0     1     0     0     1     0     0     1     1     1
#>  [23,]     0     0     1     1     0     0     0     1     0     0     1     0     1     0     0
#>  [24,]     0     0     0     1     1     0     0     1     0     0     0     0     1     1     0
#>  [25,]     0     0     0     0     0     1     1     0     1     0     1     1     1     1     0
#>  [26,]     1     1     1     0     1     1     1     0     0     1     0     1     1     1     0
#>  [27,]     1     1     1     1     1     0     0     0     0     1     1     0     1     1     0
#>  [28,]     1     1     1     1     1     1     1     0     1     1     0     1     0     0     1
#>  [29,]     0     0     1     0     0     0     1     0     0     1     0     1     1     0     0
#>  [30,]     0     0     1     0     1     0     0     1     0     0     1     1     1     1     1
#>  [31,]     1     1     0     1     1     1     0     0     0     1     0     1     0     0     0
#>  [32,]     1     1     0     1     1     0     0     0     1     1     1     1     1     0     1
#>  [33,]    NA     0     0     1     1     1     0     0     1     0     0     1     1     0     0
#>  [34,]     0    NA     1     1     1     1     1     1     0     1     1     1     0     0     1
#>  [35,]     0     1    NA     0     1     0     1     1     0     0     1     1     1     1     0
#>  [36,]     1     1     1    NA     0     0     1     0     1     0     0     0     1     1     0
#>  [37,]     1     0     1     0    NA     1     0     1     0     1     0     1     0     0     0
#>  [38,]     0     1     1     0     1    NA     1     0     0     0     0     1     0     0     0
#>  [39,]     1     1     1     0     0     0    NA     1     0     1     1     1     0     1     1
#>  [40,]     1     1     0     1     0     0     0    NA     1     1     1     1     1     1     1
#>  [41,]     0     0     0     1     0     1     0     1    NA     1     1     0     1     1     1
#>  [42,]     0     1     1     1     0     0     0     1     1    NA     1     0     1     1     1
#>  [43,]     0     0     1     1     0     1     0     0     1     0    NA     0     0     0     0
#>  [44,]     0     0     0     1     0     1     1     0     0     0     1    NA     0     1     0
#>  [45,]     1     0     1     0     0     1     1     1     0     0     0     0    NA     0     1
#>  [46,]     0     1     1     1     1     0     0     0     0     0     0     0     0    NA     1
#>  [47,]     1     1     1     0     1     0     0     1     1     0     1     1     1     0    NA
#>  [48,]     0     1     0     1     0     1     0     1     0     0     0     1     1     1     1
#>  [49,]     0     1     0     1     0     0     1     1     1     1     0     0     1     0     1
#>  [50,]     1     0     0     1     1     1     0     0     1     1     0     1     1     1     0
#>  [51,]     1     1     0     1     1     1     0     1     1     1     1     0     1     0     1
#>  [52,]     0     0     1     1     0     0     1     0     0     0     1     1     0     1     1
#>  [53,]     0     1     1     1     0     0     1     1     1     0     0     1     1     1     0
#>  [54,]     1     1     0     0     0     1     0     0     0     1     1     1     0     1     1
#>  [55,]     0     0     1     1     0     0     1     0     1     1     1     0     1     1     1
#>  [56,]     1     0     1     0     0     1     1     0     0     1     1     0     1     0     1
#>  [57,]     0     0     0     1     1     1     0     1     1     0     0     1     1     0     1
#>  [58,]     1     1     0     1     0     0     1     1     0     0     1     1     1     1     1
#>  [59,]     1     0     0     0     1     1     1     0     1     0     0     0     1     0     0
#>  [60,]     1     1     1     1     1     0     1     1     1     0     0     0     0     0     0
#>  [61,]     0     1     0     0     0     0     1     0     1     0     1     1     0     1     1
#>  [62,]     1     1     0     1     1     1     1     0     1     1     1     1     0     0     1
#>  [63,]     0     0     0     1     0     1     1     1     1     1     1     0     1     0     0
#>  [64,]     1     0     0     1     1     0     1     1     1     0     0     1     0     1     1
#>  [65,]     1     0     0     0     0     1     1     1     1     0     0     1     1     0     0
#>  [66,]     1     0     0     1     0     0     1     0     0     1     0     0     1     1     0
#>  [67,]     0     0     0     1     0     1     0     1     1     0     1     1     1     1     0
#>  [68,]     1     0     1     1     0     1     1     0     0     0     0     1     1     0     1
#>  [69,]     1     0     0     0     0     1     0     0     0     1     0     1     0     0     1
#>  [70,]     1     1     1     1     1     1     0     1     1     1     1     1     1     0     1
#>  [71,]     0     1     1     0     0     1     1     1     1     0     1     1     1     0     1
#>  [72,]     0     1     1     1     0     0     1     0     1     1     1     0     0     1     0
#>  [73,]     1     0     1     1     0     0     1     1     1     0     0     1     1     0     0
#>  [74,]     0     1     0     1     1     1     0     0     0     0     0     0     0     1     0
#>  [75,]     1     1     0     1     1     1     1     1     1     0     1     1     1     1     1
#>  [76,]     1     0     1     0     0     1     0     0     1     1     1     0     0     1     0
#>  [77,]     0     1     1     1     1     0     1     0     0     1     1     1     1     1     0
#>  [78,]     0     1     0     1     1     1     1     1     0     0     0     0     1     0     0
#>  [79,]     1     0     0     1     1     1     1     1     0     1     0     1     1     1     0
#>  [80,]     1     0     1     0     0     1     0     1     0     1     0     0     0     1     0
#>  [81,]     0     0     0     1     0     1     1     0     0     1     0     0     1     0     1
#>  [82,]     1     0     1     1     0     0     0     1     0     0     1     1     0     0     1
#>  [83,]     0     1     1     1     1     1     1     1     1     1     0     1     0     1     0
#>  [84,]     1     1     0     0     0     1     0     0     0     1     1     0     0     1     0
#>  [85,]     0     0     0     0     1     1     1     0     0     0     1     1     0     0     0
#>  [86,]     1     1     1     1     1     0     1     1     0     1     0     1     1     1     0
#>  [87,]     0     1     0     1     1     1     0     0     1     0     0     0     1     1     0
#>  [88,]     1     1     1     1     1     1     0     1     0     0     0     1     1     1     0
#>  [89,]     1     0     1     0     0     1     0     0     0     1     1     0     0     0     1
#>  [90,]     1     0     0     0     0     1     1     0     1     0     0     1     0     1     1
#>  [91,]     1     0     1     0     1     1     1     1     0     1     0     1     1     0     0
#>  [92,]     0     0     1     0     0     0     0     0     0     0     0     0     0     0     0
#>  [93,]     0     0     0     1     0     1     1     1     0     0     0     0     1     1     0
#>  [94,]     0     0     0     0     1     1     1     1     1     1     1     0     1     0     0
#>  [95,]     0     1     1     1     1     1     1     1     0     1     1     0     1     0     0
#>  [96,]     1     0     0     1     1     1     1     1     0     1     0     1     1     0     1
#>  [97,]     0     0     1     0     0     1     1     0     0     0     1     1     0     1     0
#>  [98,]     0     1     0     1     0     1     0     1     0     1     1     1     0     1     1
#>  [99,]     1     0     1     0     1     1     0     1     1     1     1     1     1     0     0
#> [100,]     0     0     0     0     1     0     1     0     1     0     1     0     1     1     1
#>        [,48] [,49] [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61] [,62]
#>   [1,]     1     0     1     0     1     1     1     0     0     1     1     1     0     0     1
#>   [2,]     0     0     0     1     0     1     1     1     1     0     1     0     0     1     0
#>   [3,]     1     0     0     1     0     1     0     1     1     0     1     1     1     1     1
#>   [4,]     0     0     0     0     1     0     0     1     0     1     1     1     0     0     0
#>   [5,]     1     0     0     0     0     0     1     0     1     0     0     1     0     1     0
#>   [6,]     1     1     1     0     0     1     0     0     0     1     0     0     1     0     0
#>   [7,]     0     0     0     1     0     1     0     1     0     0     0     0     1     0     1
#>   [8,]     1     0     0     0     1     0     1     0     1     1     0     0     0     0     0
#>   [9,]     1     0     0     1     0     0     0     1     1     1     0     0     1     0     1
#>  [10,]     0     0     0     0     0     0     1     0     1     0     1     0     0     0     0
#>  [11,]     0     0     0     1     0     0     0     0     0     0     1     1     0     1     1
#>  [12,]     1     0     0     1     1     0     0     1     0     1     1     1     1     0     0
#>  [13,]     0     1     0     1     1     1     1     0     0     1     1     1     1     0     0
#>  [14,]     1     1     0     0     1     1     1     0     1     1     1     1     1     1     0
#>  [15,]     1     1     0     0     1     0     1     0     1     0     0     0     0     1     1
#>  [16,]     0     0     1     1     1     1     0     0     1     1     1     1     0     1     0
#>  [17,]     0     0     0     0     0     0     1     1     0     1     0     1     0     0     1
#>  [18,]     0     0     0     1     1     0     1     1     1     1     0     0     1     1     1
#>  [19,]     0     1     1     0     1     0     1     0     1     0     1     0     0     1     0
#>  [20,]     0     1     0     0     1     1     1     1     0     1     1     0     1     1     0
#>  [21,]     0     1     1     0     0     1     0     1     1     1     1     0     0     1     0
#>  [22,]     1     1     1     1     0     0     1     0     1     0     1     1     1     0     1
#>  [23,]     1     1     1     0     0     1     1     1     1     1     0     1     1     0     1
#>  [24,]     0     0     0     1     0     0     1     0     0     0     1     1     0     1     0
#>  [25,]     1     1     1     1     1     1     0     0     1     1     1     0     1     0     1
#>  [26,]     0     1     1     0     0     0     1     1     1     0     1     0     0     0     1
#>  [27,]     0     0     0     0     1     1     1     0     0     1     0     0     0     0     1
#>  [28,]     1     0     0     1     0     0     1     1     1     0     0     1     0     1     1
#>  [29,]     1     1     0     1     1     1     0     1     1     0     1     1     0     0     0
#>  [30,]     1     0     0     1     1     1     1     0     0     0     1     1     1     0     0
#>  [31,]     1     1     1     0     0     1     0     0     1     1     1     0     1     0     0
#>  [32,]     0     1     1     1     0     1     1     0     0     1     0     0     1     0     0
#>  [33,]     0     1     0     0     0     0     0     1     0     0     0     0     1     1     1
#>  [34,]     1     1     0     0     0     0     1     0     0     1     0     1     0     1     0
#>  [35,]     1     1     1     0     1     1     1     0     1     1     1     0     0     1     0
#>  [36,]     0     0     1     1     1     0     0     0     1     1     0     1     0     1     1
#>  [37,]     0     0     0     1     1     1     0     1     1     1     1     1     0     0     1
#>  [38,]     0     0     1     0     0     1     0     1     0     0     1     0     0     1     1
#>  [39,]     0     0     0     0     0     0     1     1     0     1     0     0     1     0     0
#>  [40,]     0     1     1     1     0     0     0     0     0     0     1     1     1     0     0
#>  [41,]     1     0     1     0     0     1     0     0     1     1     1     0     1     1     0
#>  [42,]     1     0     0     1     1     0     0     0     1     0     0     0     1     1     0
#>  [43,]     1     0     1     0     1     1     0     1     0     1     1     0     1     1     1
#>  [44,]     0     0     0     0     0     0     1     0     1     1     0     1     0     1     1
#>  [45,]     0     0     1     1     1     0     0     1     0     0     1     1     1     0     1
#>  [46,]     0     1     1     0     1     0     1     0     0     0     1     1     0     1     0
#>  [47,]     1     0     0     1     0     1     0     0     0     1     0     0     0     0     0
#>  [48,]    NA     1     1     0     1     0     0     0     0     1     0     0     0     0     0
#>  [49,]     1    NA     0     1     0     0     1     1     0     0     0     0     1     0     1
#>  [50,]     1     1    NA     0     0     0     0     0     0     1     1     0     1     0     1
#>  [51,]     0     1     1    NA     0     0     0     0     0     1     0     1     1     0     0
#>  [52,]     0     0     0     0    NA     1     0     1     0     1     0     1     0     0     0
#>  [53,]     1     0     1     1     1    NA     1     0     1     0     0     1     1     0     0
#>  [54,]     1     0     1     0     0     0    NA     1     0     1     1     0     0     0     0
#>  [55,]     0     1     0     0     0     0     1    NA     0     1     1     0     1     1     1
#>  [56,]     1     0     1     0     1     0     0     1    NA     0     0     0     1     0     0
#>  [57,]     0     0     0     0     1     0     0     1     0    NA     0     0     0     1     0
#>  [58,]     1     0     1     1     0     1     1     1     0     1    NA     1     0     1     1
#>  [59,]     0     1     0     1     0     0     1     0     1     0     0    NA     0     0     1
#>  [60,]     0     1     0     1     1     0     1     1     0     1     0     0    NA     1     0
#>  [61,]     1     1     1     1     0     0     1     0     1     1     0     0     1    NA     1
#>  [62,]     1     0     0     0     1     1     0     1     0     1     0     0     1     1    NA
#>  [63,]     0     1     0     1     0     1     0     0     0     0     1     1     0     1     0
#>  [64,]     0     1     0     1     1     1     0     1     1     1     0     0     1     0     1
#>  [65,]     0     0     1     1     0     1     0     1     1     0     1     0     1     1     0
#>  [66,]     1     0     1     1     0     1     1     1     1     1     0     1     0     1     0
#>  [67,]     1     1     1     1     1     0     0     0     0     1     1     1     1     0     0
#>  [68,]     1     1     0     0     0     0     1     1     0     1     1     0     1     0     1
#>  [69,]     0     0     1     0     1     0     0     1     1     1     1     0     1     0     1
#>  [70,]     0     1     0     0     1     1     1     0     0     0     0     0     0     0     0
#>  [71,]     1     0     1     0     0     0     0     0     0     1     0     1     1     0     0
#>  [72,]     1     0     0     0     1     0     0     0     0     1     1     0     0     0     1
#>  [73,]     0     1     0     1     0     0     0     0     0     0     1     0     0     1     1
#>  [74,]     1     0     0     1     1     0     0     1     1     1     0     1     1     1     1
#>  [75,]     0     0     1     0     0     0     0     0     1     1     1     1     0     0     0
#>  [76,]     1     1     1     1     0     0     1     0     0     0     1     0     1     1     1
#>  [77,]     1     1     1     0     0     1     0     1     0     1     0     1     0     0     1
#>  [78,]     1     1     0     1     0     0     1     0     1     1     0     1     0     0     0
#>  [79,]     1     1     1     0     0     1     1     1     0     1     0     1     0     1     1
#>  [80,]     1     1     0     0     0     0     1     1     0     0     1     1     0     0     1
#>  [81,]     1     0     0     1     1     1     1     1     0     1     0     0     0     0     1
#>  [82,]     0     1     0     0     0     0     0     0     1     1     0     0     0     1     0
#>  [83,]     1     1     0     1     1     0     1     0     0     1     0     0     0     0     0
#>  [84,]     0     1     0     1     0     1     1     1     0     0     0     0     0     0     1
#>  [85,]     1     1     1     1     0     1     0     0     0     0     0     1     0     0     0
#>  [86,]     0     0     1     1     1     1     0     1     0     1     1     0     0     0     1
#>  [87,]     0     1     1     1     0     0     0     1     0     1     0     0     0     1     1
#>  [88,]     0     0     0     0     1     1     0     0     1     0     0     1     0     0     1
#>  [89,]     1     0     0     0     1     0     0     0     0     1     1     1     1     0     0
#>  [90,]     0     1     0     1     1     1     0     0     1     0     0     1     0     0     0
#>  [91,]     1     0     1     1     0     0     0     0     1     0     1     1     1     0     0
#>  [92,]     1     0     1     0     0     0     0     0     0     1     0     0     0     1     0
#>  [93,]     0     1     0     0     0     1     1     1     0     0     1     1     0     1     0
#>  [94,]     1     0     0     1     0     0     1     1     0     1     0     0     1     1     1
#>  [95,]     1     1     0     1     0     1     0     0     1     1     1     1     0     1     1
#>  [96,]     0     1     0     1     0     0     1     1     1     0     0     0     1     0     1
#>  [97,]     0     0     0     0     0     1     1     1     1     1     0     0     1     0     1
#>  [98,]     0     1     0     1     0     0     0     1     0     0     0     1     1     0     0
#>  [99,]     1     1     0     1     0     0     0     1     0     0     1     0     0     0     1
#> [100,]     0     1     1     0     0     0     0     0     0     0     1     0     0     1     0
#>        [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#>   [1,]     1     0     1     0     1     1     0     0     0     0     1     1     1     0     1
#>   [2,]     1     1     1     1     1     0     1     1     0     0     0     0     0     0     1
#>   [3,]     1     1     0     1     1     1     1     0     1     0     0     1     0     0     1
#>   [4,]     1     1     1     0     1     0     1     0     0     0     1     0     1     1     0
#>   [5,]     1     1     0     1     0     0     1     1     1     0     1     1     1     1     1
#>   [6,]     0     0     1     0     1     0     0     1     0     0     0     0     1     1     1
#>   [7,]     1     0     1     0     1     1     1     0     1     0     0     1     1     0     1
#>   [8,]     1     0     1     1     0     0     0     0     0     0     1     1     0     1     0
#>   [9,]     0     0     0     0     0     0     0     1     1     0     0     1     1     1     0
#>  [10,]     1     1     1     1     1     1     0     1     1     1     1     0     0     1     0
#>  [11,]     0     0     1     1     1     0     1     1     0     0     1     1     0     1     1
#>  [12,]     1     1     0     0     1     0     0     1     1     1     0     1     1     0     1
#>  [13,]     1     1     0     0     0     1     0     1     1     1     0     0     0     0     1
#>  [14,]     1     0     0     1     1     0     0     1     1     0     1     0     0     0     1
#>  [15,]     1     0     0     1     1     0     0     1     1     0     0     1     0     1     0
#>  [16,]     1     0     0     0     0     0     0     0     0     0     0     1     0     0     1
#>  [17,]     0     0     0     1     1     0     0     0     0     1     0     1     1     0     1
#>  [18,]     0     0     1     1     0     1     1     0     0     0     0     1     1     1     0
#>  [19,]     1     0     1     1     1     0     0     0     1     1     1     1     0     0     0
#>  [20,]     1     0     0     1     0     0     1     1     0     0     0     1     1     1     0
#>  [21,]     0     1     1     0     1     0     1     0     1     1     1     1     1     0     0
#>  [22,]     1     0     0     1     1     1     1     1     1     1     0     1     1     1     0
#>  [23,]     0     1     1     0     0     1     1     0     0     1     0     0     1     1     0
#>  [24,]     0     0     0     1     0     0     1     1     1     0     1     1     1     0     1
#>  [25,]     1     0     0     1     1     0     0     1     1     1     1     1     1     0     1
#>  [26,]     0     1     1     0     0     1     0     0     0     0     1     0     1     0     1
#>  [27,]     0     0     1     0     1     1     0     1     1     0     1     1     1     1     0
#>  [28,]     0     1     0     1     0     1     1     0     1     0     0     0     0     0     0
#>  [29,]     0     0     1     1     0     0     0     1     1     0     0     1     0     0     0
#>  [30,]     0     0     1     1     0     1     0     0     0     0     1     1     0     1     0
#>  [31,]     0     0     0     1     0     0     0     0     0     0     1     1     0     0     1
#>  [32,]     0     0     1     1     1     1     1     0     1     1     0     1     1     1     1
#>  [33,]     1     1     0     0     1     0     1     1     0     1     1     0     1     1     1
#>  [34,]     0     1     0     0     0     1     0     1     0     1     1     1     1     0     1
#>  [35,]     1     0     1     0     1     1     1     1     1     0     1     0     0     1     0
#>  [36,]     1     0     1     1     0     0     0     0     1     1     1     0     0     0     1
#>  [37,]     0     1     1     0     0     1     0     0     0     0     0     1     1     0     0
#>  [38,]     0     0     0     0     1     1     1     1     1     1     0     1     0     0     1
#>  [39,]     0     1     1     0     1     1     1     1     0     0     1     1     0     1     0
#>  [40,]     1     1     0     1     0     1     1     1     1     0     0     0     1     1     0
#>  [41,]     1     0     1     1     1     0     1     1     1     0     0     0     0     0     1
#>  [42,]     0     1     0     0     0     1     0     1     0     1     1     1     0     1     0
#>  [43,]     0     0     1     0     0     0     0     0     1     1     1     1     0     1     1
#>  [44,]     0     0     0     0     1     1     1     1     1     0     0     0     0     0     1
#>  [45,]     1     0     0     1     0     0     1     0     1     0     0     1     1     1     0
#>  [46,]     0     0     1     0     1     1     0     0     1     1     1     1     1     0     0
#>  [47,]     1     1     1     0     0     1     1     1     0     1     0     0     1     0     0
#>  [48,]     0     0     0     0     0     1     0     0     0     0     0     1     0     1     1
#>  [49,]     0     0     0     1     0     0     1     0     1     1     1     0     0     0     1
#>  [50,]     0     0     1     0     1     0     1     0     0     0     1     0     1     0     1
#>  [51,]     1     0     1     1     0     0     0     0     1     1     1     1     0     1     0
#>  [52,]     1     1     1     0     1     0     1     0     1     0     0     1     0     0     0
#>  [53,]     0     0     1     1     0     0     0     0     1     0     0     0     1     1     1
#>  [54,]     0     1     1     0     1     1     0     1     0     1     0     0     0     0     1
#>  [55,]     1     0     1     0     0     0     0     1     0     1     1     0     1     1     0
#>  [56,]     0     0     1     0     1     0     1     0     0     1     0     0     0     1     0
#>  [57,]     0     0     0     1     1     1     1     0     0     0     1     1     0     0     1
#>  [58,]     1     1     0     0     0     0     0     0     0     0     1     1     1     0     1
#>  [59,]     0     1     0     1     1     0     1     0     0     0     0     0     1     1     1
#>  [60,]     0     0     1     1     1     1     1     0     1     0     1     1     0     1     1
#>  [61,]     1     1     0     0     0     1     0     0     0     1     1     1     1     1     0
#>  [62,]     1     0     1     1     0     0     1     1     0     0     0     1     1     0     1
#>  [63,]    NA     1     1     1     1     0     1     1     1     0     0     0     0     1     1
#>  [64,]     1    NA     1     1     0     0     0     0     0     0     1     1     1     1     0
#>  [65,]     0     0    NA     0     0     1     0     1     0     0     1     1     0     1     1
#>  [66,]     0     0     1    NA     0     1     1     0     1     1     0     1     1     1     1
#>  [67,]     0     0     1     1    NA     1     0     0     0     1     1     1     0     0     0
#>  [68,]     0     1     1     0     1    NA     0     0     0     0     1     1     0     1     1
#>  [69,]     1     1     1     0     0     1    NA     0     0     0     0     1     0     1     1
#>  [70,]     0     0     1     0     1     1     0    NA     0     1     0     0     1     1     1
#>  [71,]     0     0     1     0     1     0     0     1    NA     1     0     0     1     0     1
#>  [72,]     0     1     0     0     0     1     0     1     1    NA     1     1     0     1     1
#>  [73,]     0     1     1     1     1     0     0     1     1     1    NA     1     0     0     0
#>  [74,]     0     1     0     1     0     0     0     1     1     1     1    NA     0     0     0
#>  [75,]     1     1     0     0     0     0     1     1     0     1     0     1    NA     1     1
#>  [76,]     1     0     1     1     1     1     1     0     1     1     0     0     1    NA     0
#>  [77,]     1     1     0     0     0     0     1     0     1     0     0     1     0     1    NA
#>  [78,]     1     1     0     1     0     0     1     0     1     0     0     0     1     1     1
#>  [79,]     0     0     0     1     1     0     0     0     0     1     0     0     0     1     0
#>  [80,]     0     1     1     1     0     1     0     1     0     0     0     1     0     1     1
#>  [81,]     0     0     1     0     1     1     1     1     0     0     0     0     0     0     1
#>  [82,]     0     0     1     1     1     1     0     0     1     1     0     1     1     0     1
#>  [83,]     0     0     1     0     1     0     0     1     0     0     0     1     1     0     0
#>  [84,]     0     1     0     0     1     0     0     0     0     1     0     0     1     0     1
#>  [85,]     1     0     0     0     1     0     0     0     1     0     1     0     1     1     1
#>  [86,]     1     0     0     1     1     0     0     1     0     1     0     0     0     1     1
#>  [87,]     1     1     0     0     1     0     0     1     0     1     0     0     0     1     0
#>  [88,]     1     1     0     1     0     1     0     0     0     1     0     1     0     1     1
#>  [89,]     1     1     0     0     0     0     1     1     0     0     1     1     1     0     1
#>  [90,]     1     1     1     0     0     0     0     1     0     0     1     1     0     1     1
#>  [91,]     1     1     1     1     0     1     1     0     1     1     0     1     0     1     1
#>  [92,]     1     1     0     1     1     0     1     0     0     1     0     1     1     1     0
#>  [93,]     0     1     1     1     0     1     1     0     0     1     0     0     0     1     0
#>  [94,]     0     1     1     0     0     1     0     0     0     0     0     1     0     0     0
#>  [95,]     1     1     1     0     1     1     1     0     1     0     0     1     1     0     0
#>  [96,]     1     1     0     0     0     0     0     1     1     0     1     0     0     1     1
#>  [97,]     1     1     0     0     0     0     1     1     1     1     0     0     1     1     0
#>  [98,]     0     1     1     0     0     0     1     0     0     1     1     0     1     1     1
#>  [99,]     1     1     1     1     0     0     1     0     1     0     1     0     1     0     1
#> [100,]     0     1     0     0     0     0     1     0     0     1     1     1     1     1     0
#>        [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85] [,86] [,87] [,88] [,89] [,90] [,91] [,92]
#>   [1,]     1     1     0     0     0     1     0     0     1     0     1     1     0     0     1
#>   [2,]     0     1     1     0     0     0     1     1     0     0     1     1     0     0     1
#>   [3,]     0     0     1     0     0     0     1     0     0     1     0     0     1     1     0
#>   [4,]     0     1     1     1     0     1     0     0     1     1     0     1     1     1     0
#>   [5,]     1     1     0     0     0     0     1     1     0     0     1     1     0     0     1
#>   [6,]     0     0     0     1     0     1     0     1     1     0     0     0     0     1     0
#>   [7,]     1     1     1     1     1     1     1     1     1     1     1     1     1     0     0
#>   [8,]     0     1     1     0     1     0     0     0     1     0     1     0     0     1     0
#>   [9,]     0     1     0     0     1     1     1     1     1     1     0     0     1     0     1
#>  [10,]     1     0     0     1     0     0     0     0     1     0     1     1     0     0     1
#>  [11,]     1     0     0     1     1     1     0     0     0     0     0     1     0     0     0
#>  [12,]     1     0     0     0     0     1     0     1     0     0     1     0     0     1     0
#>  [13,]     1     1     1     0     1     0     0     0     1     0     0     0     0     1     1
#>  [14,]     0     1     1     0     1     0     1     0     0     1     1     0     1     0     1
#>  [15,]     1     1     1     0     0     0     1     1     0     1     1     1     1     0     1
#>  [16,]     0     0     0     1     1     0     0     0     1     1     0     0     0     0     0
#>  [17,]     0     1     1     0     0     1     0     1     1     0     0     1     1     1     1
#>  [18,]     1     1     0     0     0     1     0     1     1     1     0     0     1     1     0
#>  [19,]     0     1     1     1     1     0     0     0     1     0     1     0     1     0     0
#>  [20,]     1     0     1     1     0     1     1     1     1     0     1     1     0     1     1
#>  [21,]     1     0     1     1     1     0     0     1     1     0     1     1     1     0     0
#>  [22,]     1     0     0     1     0     1     1     0     0     1     0     1     0     0     0
#>  [23,]     0     0     0     1     1     1     1     0     0     0     0     1     1     0     0
#>  [24,]     0     1     0     1     0     0     1     0     1     1     1     0     0     0     1
#>  [25,]     1     0     0     1     1     0     1     1     1     1     1     1     0     0     1
#>  [26,]     0     0     1     1     1     0     1     0     1     1     1     1     0     1     1
#>  [27,]     0     0     0     1     1     1     0     1     0     1     0     0     0     1     1
#>  [28,]     1     0     1     1     1     1     1     1     1     0     1     1     0     1     0
#>  [29,]     0     1     1     1     1     0     1     1     0     1     0     0     1     0     0
#>  [30,]     0     1     0     0     1     0     0     0     0     1     0     1     0     0     0
#>  [31,]     1     0     0     0     1     1     1     1     1     0     1     0     1     1     0
#>  [32,]     0     0     0     1     0     0     0     0     1     1     0     0     1     0     0
#>  [33,]     0     0     1     0     0     0     1     0     1     0     1     1     1     0     0
#>  [34,]     1     0     0     1     0     1     0     1     0     0     1     1     0     1     1
#>  [35,]     1     1     1     1     1     1     0     1     1     1     1     0     0     1     0
#>  [36,]     0     1     1     1     1     1     1     0     0     0     0     1     0     0     1
#>  [37,]     1     1     1     1     0     0     1     1     1     0     0     0     1     1     0
#>  [38,]     1     0     0     1     1     0     1     0     0     1     0     1     1     0     0
#>  [39,]     0     1     0     1     1     0     0     0     0     0     0     1     0     0     1
#>  [40,]     0     0     1     0     1     0     0     0     0     1     1     0     1     0     1
#>  [41,]     1     0     1     0     0     0     1     0     1     0     0     1     0     1     0
#>  [42,]     1     0     1     0     0     0     0     0     1     0     0     1     0     0     1
#>  [43,]     1     1     1     0     0     0     1     0     1     1     1     0     0     0     1
#>  [44,]     0     1     1     1     1     1     1     0     1     0     1     0     0     1     1
#>  [45,]     1     0     0     0     0     0     0     0     0     0     1     0     0     1     0
#>  [46,]     0     0     1     0     0     0     1     1     0     0     0     0     1     1     1
#>  [47,]     0     1     0     1     0     1     0     1     0     1     0     0     1     1     1
#>  [48,]     0     0     0     1     1     0     1     0     1     0     1     1     1     1     1
#>  [49,]     1     1     1     0     0     1     1     0     1     1     0     1     0     1     1
#>  [50,]     0     1     1     1     1     0     0     1     1     0     1     1     1     1     1
#>  [51,]     0     1     1     1     1     1     0     0     0     0     0     0     0     1     1
#>  [52,]     1     1     1     1     0     1     1     0     1     0     1     0     0     0     0
#>  [53,]     1     1     1     1     1     1     1     1     1     0     0     1     0     0     0
#>  [54,]     0     1     0     0     0     1     1     0     0     1     0     1     0     0     1
#>  [55,]     0     0     0     0     1     0     1     0     1     1     1     0     0     0     1
#>  [56,]     1     0     0     0     1     1     0     0     1     1     0     1     1     1     1
#>  [57,]     0     1     1     1     0     1     1     0     0     1     1     1     1     0     0
#>  [58,]     1     1     0     0     1     1     0     1     0     0     0     0     1     0     0
#>  [59,]     0     1     0     0     0     0     0     0     1     1     1     0     0     0     1
#>  [60,]     1     0     0     0     1     0     0     0     1     1     1     1     1     0     0
#>  [61,]     0     0     1     1     1     1     1     0     0     1     0     0     1     1     1
#>  [62,]     0     0     0     0     0     1     1     0     1     0     0     0     1     0     1
#>  [63,]     1     0     1     1     0     1     1     1     0     0     1     0     1     1     0
#>  [64,]     0     1     1     1     0     1     1     0     0     0     0     0     0     0     0
#>  [65,]     1     1     1     0     1     1     1     0     0     1     0     0     1     0     0
#>  [66,]     1     1     0     0     0     1     1     0     0     0     0     0     1     0     1
#>  [67,]     1     1     0     1     0     0     1     1     0     1     1     1     0     0     1
#>  [68,]     0     1     0     1     0     1     0     1     1     1     0     1     0     1     0
#>  [69,]     0     1     1     1     0     1     1     1     0     0     0     0     1     0     1
#>  [70,]     1     1     1     0     1     1     0     1     0     1     1     1     1     1     1
#>  [71,]     0     0     0     0     0     1     0     0     1     1     1     1     1     1     1
#>  [72,]     1     1     0     1     0     0     0     0     0     0     0     0     0     0     0
#>  [73,]     0     0     0     1     1     0     1     1     1     1     0     0     1     1     1
#>  [74,]     0     0     1     1     0     1     0     0     1     1     0     1     1     1     1
#>  [75,]     0     0     0     0     0     1     1     0     1     1     0     0     0     1     0
#>  [76,]     1     0     1     1     0     0     0     1     1     1     1     0     0     0     1
#>  [77,]     0     1     0     1     1     1     1     1     0     0     0     1     0     1     1
#>  [78,]    NA     1     1     1     1     1     0     1     0     0     1     0     1     1     1
#>  [79,]     0    NA     0     0     1     1     1     1     1     0     1     0     0     0     1
#>  [80,]     0     1    NA     0     1     1     1     1     0     1     0     1     1     0     0
#>  [81,]     1     1     0    NA     1     1     0     0     1     0     0     0     1     0     0
#>  [82,]     0     0     1     0    NA     0     0     1     1     0     1     1     1     1     1
#>  [83,]     0     0     0     0     0    NA     0     1     1     1     1     1     0     1     0
#>  [84,]     0     0     0     1     0     0    NA     1     1     0     1     0     0     0     0
#>  [85,]     1     0     0     1     1     1     0    NA     0     1     0     1     1     0     0
#>  [86,]     0     0     0     1     1     1     1     0    NA     0     0     1     1     1     1
#>  [87,]     0     0     1     0     0     0     0     1     1    NA     0     0     1     1     1
#>  [88,]     0     1     1     0     0     1     0     1     0     0    NA     0     0     0     1
#>  [89,]     0     0     0     1     0     1     1     1     1     0     0    NA     0     1     0
#>  [90,]     0     0     1     0     1     0     0     0     0     0     0     1    NA     0     1
#>  [91,]     0     1     1     0     0     1     0     0     0     0     0     0     1    NA     1
#>  [92,]     0     1     1     0     0     1     1     1     1     1     1     1     0     0    NA
#>  [93,]     0     1     1     1     1     0     0     0     1     1     1     1     0     0     1
#>  [94,]     0     1     0     1     0     1     1     0     1     0     1     1     0     0     1
#>  [95,]     1     1     1     0     0     1     1     0     1     0     0     1     0     0     1
#>  [96,]     1     1     0     1     0     1     1     1     0     1     0     0     0     1     1
#>  [97,]     1     1     1     1     0     1     0     0     1     1     1     0     0     0     0
#>  [98,]     1     1     1     0     1     0     1     0     1     1     0     1     1     0     0
#>  [99,]     1     1     0     0     1     0     1     0     0     0     0     0     0     1     0
#> [100,]     0     0     0     1     1     0     1     1     1     0     1     0     0     0     0
#>        [,93] [,94] [,95] [,96] [,97] [,98] [,99] [,100]
#>   [1,]     0     1     0     1     1     1     0      0
#>   [2,]     0     0     1     1     1     1     1      0
#>   [3,]     0     0     0     1     0     0     0      1
#>   [4,]     0     0     0     0     0     1     0      1
#>   [5,]     0     1     1     1     1     0     1      1
#>   [6,]     0     0     1     1     1     1     1      0
#>   [7,]     0     0     1     1     0     1     0      0
#>   [8,]     0     0     0     0     1     1     0      1
#>   [9,]     1     0     0     0     0     0     0      0
#>  [10,]     1     0     1     1     0     1     0      0
#>  [11,]     0     1     1     0     0     1     1      0
#>  [12,]     0     1     1     0     1     0     1      0
#>  [13,]     1     1     0     0     1     1     1      1
#>  [14,]     1     0     0     1     1     1     0      0
#>  [15,]     1     0     1     0     1     1     1      1
#>  [16,]     1     1     1     1     1     0     1      1
#>  [17,]     1     1     0     0     1     1     0      1
#>  [18,]     1     0     0     0     0     1     1      1
#>  [19,]     0     1     1     0     0     1     1      0
#>  [20,]     1     0     1     1     0     0     1      1
#>  [21,]     0     0     1     1     1     1     0      0
#>  [22,]     1     1     1     1     1     1     1      0
#>  [23,]     0     1     0     0     1     1     0      1
#>  [24,]     0     1     0     0     1     1     1      0
#>  [25,]     0     1     1     0     0     1     0      0
#>  [26,]     0     0     0     1     1     0     1      0
#>  [27,]     1     0     0     1     1     1     0      0
#>  [28,]     1     0     1     0     0     0     1      0
#>  [29,]     0     1     0     0     1     1     1      0
#>  [30,]     0     1     1     0     1     0     1      1
#>  [31,]     0     1     0     1     1     0     1      0
#>  [32,]     0     1     0     1     0     0     0      1
#>  [33,]     1     0     0     1     0     1     0      1
#>  [34,]     1     1     0     1     1     1     1      1
#>  [35,]     0     1     1     1     0     1     1      0
#>  [36,]     1     1     0     0     0     0     1      1
#>  [37,]     0     0     0     1     0     0     0      0
#>  [38,]     0     0     1     1     1     1     1      1
#>  [39,]     0     0     1     0     0     0     1      1
#>  [40,]     1     0     0     1     1     1     1      0
#>  [41,]     1     1     1     0     1     1     0      1
#>  [42,]     1     0     0     0     0     1     1      0
#>  [43,]     1     0     1     1     0     0     1      1
#>  [44,]     1     1     1     1     1     1     0      1
#>  [45,]     1     0     0     1     1     0     0      0
#>  [46,]     1     0     1     0     1     1     0      0
#>  [47,]     1     0     0     0     1     1     0      1
#>  [48,]     0     0     0     1     0     0     1      0
#>  [49,]     0     1     0     1     0     0     0      0
#>  [50,]     0     1     0     0     0     1     0      0
#>  [51,]     0     0     1     0     1     0     0      0
#>  [52,]     1     0     0     1     1     0     0      0
#>  [53,]     0     0     0     1     1     1     0      1
#>  [54,]     1     0     1     1     0     1     1      0
#>  [55,]     1     1     1     1     1     0     0      0
#>  [56,]     1     1     0     0     0     1     0      1
#>  [57,]     0     1     1     1     1     0     0      1
#>  [58,]     1     0     1     0     0     0     0      0
#>  [59,]     0     1     0     0     1     1     1      1
#>  [60,]     1     0     0     0     0     1     1      0
#>  [61,]     1     1     0     0     0     0     1      1
#>  [62,]     1     1     1     1     1     0     0      1
#>  [63,]     1     0     1     1     1     0     0      1
#>  [64,]     0     0     1     0     0     1     0      1
#>  [65,]     1     0     1     1     1     1     0      1
#>  [66,]     0     1     1     0     0     0     0      1
#>  [67,]     0     1     1     0     1     0     1      1
#>  [68,]     1     0     0     0     1     0     0      0
#>  [69,]     1     0     0     1     1     1     0      1
#>  [70,]     0     0     1     1     0     1     1      1
#>  [71,]     0     0     0     1     0     1     0      1
#>  [72,]     1     1     1     0     1     0     0      1
#>  [73,]     0     1     1     0     1     0     0      0
#>  [74,]     1     1     1     0     1     1     0      1
#>  [75,]     1     1     0     0     1     1     1      0
#>  [76,]     0     1     0     0     0     1     0      1
#>  [77,]     1     1     1     1     0     0     1      0
#>  [78,]     0     1     1     1     1     1     0      1
#>  [79,]     0     0     1     0     0     1     0      1
#>  [80,]     0     0     0     0     0     0     1      1
#>  [81,]     1     1     1     1     1     0     1      0
#>  [82,]     1     0     1     1     1     1     0      0
#>  [83,]     0     0     1     1     1     0     1      1
#>  [84,]     1     0     1     1     1     1     0      0
#>  [85,]     0     0     1     1     1     1     1      0
#>  [86,]     0     1     0     0     1     1     0      1
#>  [87,]     1     1     1     0     1     0     0      1
#>  [88,]     0     0     1     1     0     1     0      0
#>  [89,]     1     0     0     0     0     0     0      0
#>  [90,]     1     0     0     0     0     0     1      1
#>  [91,]     0     1     1     0     0     0     1      0
#>  [92,]     0     1     0     1     0     1     0      1
#>  [93,]    NA     0     1     1     0     0     0      1
#>  [94,]     1    NA     1     0     1     1     1      0
#>  [95,]     1     0    NA     1     0     1     1      1
#>  [96,]     1     1     0    NA     1     1     0      0
#>  [97,]     1     0     1     0    NA     1     1      1
#>  [98,]     0     1     0     1     1    NA     0      1
#>  [99,]     1     1     0     1     1     1    NA      0
#> [100,]     1     0     0     1     1     0     1     NA

# you can also do it with for loops (more work) rep is replicate, is makkelijker dan typen
mat2 <- matrix(0, nrow = 100, ncol = 100)

for (col in 1:100) {
    for (row in 1:100) {
        mat2[row, col] <- sample(0:1, 1, replace = TRUE)
    }
}

mat2

#>        [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16] [,17]
#>   [1,]    1    0    1    1    0    0    0    0    1     1     0     0     1     1     0     0     1
#>   [2,]    1    0    0    1    1    0    1    1    0     1     0     1     0     0     0     1     0
#>   [3,]    0    1    0    0    0    0    0    0    1     0     0     1     0     0     0     1     0
#>   [4,]    1    1    0    1    0    1    1    1    0     1     0     1     0     0     0     0     0
#>   [5,]    0    0    0    0    1    1    0    0    1     1     1     0     1     1     1     1     1
#>   [6,]    0    1    0    0    1    0    1    1    1     0     1     1     0     0     0     0     1
#>   [7,]    0    1    0    1    1    0    0    0    0     0     0     0     1     0     0     1     1
#>   [8,]    0    0    1    0    1    1    1    0    0     1     1     0     1     0     1     1     1
#>   [9,]    0    1    0    0    1    1    1    0    1     1     1     0     1     1     0     0     0
#>  [10,]    0    1    1    0    0    1    0    1    0     0     0     1     0     0     0     1     1
#>  [11,]    0    0    0    0    0    1    0    0    0     1     0     1     1     1     0     1     1
#>  [12,]    1    0    1    1    1    0    1    1    1     0     0     0     1     0     0     0     1
#>  [13,]    0    1    0    1    1    0    1    0    0     0     1     1     1     1     0     1     0
#>  [14,]    1    1    1    1    0    1    0    0    1     0     0     0     1     1     0     1     1
#>  [15,]    0    0    1    0    0    0    0    0    1     1     0     1     0     0     1     0     1
#>  [16,]    1    0    1    1    0    0    0    0    1     1     1     1     1     0     1     0     1
#>  [17,]    0    1    1    0    0    1    1    0    1     1     0     0     0     1     0     1     0
#>  [18,]    0    1    1    1    1    1    1    1    0     1     0     1     1     0     1     0     0
#>  [19,]    1    0    0    1    0    0    1    1    1     1     0     1     1     1     0     0     0
#>  [20,]    1    0    1    0    1    0    1    0    0     1     0     0     1     0     0     1     0
#>  [21,]    0    1    1    1    1    1    1    1    0     1     1     1     0     1     1     0     1
#>  [22,]    0    1    0    1    0    0    0    0    1     0     1     1     1     0     1     1     0
#>  [23,]    1    0    1    0    0    1    1    1    0     0     1     1     1     1     1     0     1
#>  [24,]    1    1    1    1    0    0    0    1    0     1     1     1     0     1     0     0     1
#>  [25,]    0    1    0    0    0    0    0    1    0     0     0     0     0     1     1     0     1
#>  [26,]    1    0    1    0    1    0    0    0    1     0     0     0     1     0     0     0     0
#>  [27,]    1    0    0    1    1    1    0    1    0     1     0     0     1     0     0     0     0
#>  [28,]    0    0    0    1    0    1    1    0    1     0     0     0     0     1     1     1     0
#>  [29,]    0    0    1    1    1    0    1    1    0     1     1     0     1     0     0     1     1
#>  [30,]    0    0    0    0    1    1    1    1    0     1     1     0     1     0     0     1     1
#>  [31,]    1    1    1    1    1    0    1    1    0     0     1     0     1     1     0     0     1
#>  [32,]    0    1    1    1    0    0    1    0    0     0     1     1     1     0     0     0     0
#>  [33,]    0    1    1    1    1    1    0    0    0     0     1     0     1     1     1     1     1
#>  [34,]    0    0    0    1    1    0    1    1    1     1     1     1     1     0     0     0     0
#>  [35,]    1    1    1    1    1    0    1    0    1     0     1     0     1     0     1     1     0
#>  [36,]    1    0    0    0    0    0    1    1    0     1     1     0     0     0     0     0     1
#>  [37,]    1    1    0    1    1    1    1    0    1     0     0     1     1     0     1     1     1
#>  [38,]    0    1    1    0    0    0    0    0    0     0     0     0     0     0     0     1     0
#>  [39,]    1    1    1    0    0    1    1    1    0     1     0     1     1     1     0     1     0
#>  [40,]    1    0    0    0    0    1    1    0    1     1     0     1     1     0     0     0     1
#>  [41,]    1    0    1    1    0    0    1    1    1     1     0     1     0     0     1     1     0
#>  [42,]    1    1    0    0    1    1    0    1    1     1     0     1     0     0     1     0     0
#>  [43,]    0    1    1    1    1    0    0    1    0     0     0     0     1     1     0     1     1
#>  [44,]    1    0    1    0    1    1    0    0    1     1     0     1     0     1     1     1     1
#>  [45,]    1    0    0    0    1    1    1    0    1     0     0     1     1     1     1     0     0
#>  [46,]    0    0    1    1    0    0    1    1    0     1     0     0     0     0     1     0     0
#>  [47,]    0    1    1    0    0    0    1    1    0     0     0     0     0     0     1     0     0
#>  [48,]    1    1    0    0    0    1    1    0    0     1     0     1     0     0     0     1     1
#>  [49,]    0    0    1    0    0    1    0    1    1     1     1     1     1     1     0     0     0
#>  [50,]    0    0    1    0    1    1    1    1    0     0     1     1     0     0     1     0     1
#>  [51,]    0    1    1    1    1    0    1    0    0     0     0     1     1     0     0     0     1
#>  [52,]    1    0    1    0    0    0    1    1    1     1     1     0     0     0     0     1     1
#>  [53,]    1    1    1    1    0    0    1    1    1     0     0     0     1     0     0     1     1
#>  [54,]    0    1    0    0    0    0    0    0    1     0     0     1     0     0     0     1     1
#>  [55,]    1    0    1    0    1    1    1    1    0     0     1     1     1     1     1     1     0
#>  [56,]    1    1    0    0    0    0    0    0    1     0     0     1     1     0     0     0     0
#>  [57,]    1    0    0    1    0    0    1    1    1     0     1     1     1     1     0     0     0
#>  [58,]    0    1    1    1    0    0    1    0    0     1     0     0     1     1     0     0     0
#>  [59,]    0    1    1    1    1    1    0    0    0     0     1     1     0     0     1     1     1
#>  [60,]    0    1    1    0    1    1    0    0    0     0     1     1     1     1     1     1     1
#>  [61,]    0    0    0    0    1    1    0    0    0     0     1     1     1     1     0     0     0
#>  [62,]    1    1    0    1    1    1    0    0    1     0     0     0     0     0     0     1     0
#>  [63,]    1    1    0    0    1    1    0    0    0     0     0     1     0     0     1     0     1
#>  [64,]    0    0    0    0    0    1    1    1    1     1     0     1     0     0     1     1     1
#>  [65,]    0    0    0    1    1    1    1    0    0     0     1     0     0     1     1     1     1
#>  [66,]    1    1    0    1    1    0    0    1    0     1     0     0     1     1     1     0     1
#>  [67,]    1    0    1    0    0    0    0    0    1     1     0     1     0     0     1     1     0
#>  [68,]    0    1    1    1    0    1    1    1    1     1     0     0     1     1     1     1     0
#>  [69,]    1    0    1    1    0    1    1    1    0     0     1     1     1     1     1     0     0
#>  [70,]    0    0    1    0    0    0    0    1    0     1     1     1     0     1     0     1     0
#>  [71,]    0    1    1    1    0    0    0    1    0     1     0     1     1     1     0     0     0
#>  [72,]    0    1    0    0    0    0    1    0    0     1     1     0     1     1     1     0     1
#>  [73,]    0    0    1    0    0    0    1    0    1     0     0     0     0     1     0     1     0
#>  [74,]    1    0    1    1    0    1    0    1    1     0     1     1     0     0     1     0     0
#>  [75,]    0    0    1    0    0    1    1    1    1     0     1     0     0     0     0     0     0
#>  [76,]    1    0    0    1    0    1    1    1    0     1     1     0     0     0     0     1     0
#>  [77,]    0    1    1    1    0    0    1    0    1     0     0     0     0     1     0     0     1
#>  [78,]    0    0    0    0    0    1    1    1    1     0     1     0     1     0     0     0     1
#>  [79,]    0    1    1    1    1    0    1    1    1     0     0     1     0     1     0     1     0
#>  [80,]    1    0    0    1    1    1    0    0    1     0     1     1     1     1     0     0     1
#>  [81,]    1    1    1    1    0    1    0    1    1     0     1     0     0     1     0     1     0
#>  [82,]    0    1    1    1    0    1    1    1    1     1     0     1     1     1     1     1     0
#>  [83,]    0    0    0    0    0    1    0    0    1     0     0     1     1     1     1     1     0
#>  [84,]    1    0    1    1    1    1    1    0    0     1     0     0     0     0     0     1     1
#>  [85,]    0    0    0    1    1    0    0    0    1     0     0     0     1     0     1     0     0
#>  [86,]    1    0    0    1    0    0    1    0    1     0     0     0     0     0     1     0     0
#>  [87,]    1    0    0    0    1    1    1    0    1     1     0     1     1     1     1     1     0
#>  [88,]    0    0    0    1    1    1    0    0    0     0     1     0     1     0     0     0     0
#>  [89,]    1    1    1    1    0    1    0    1    0     0     1     0     0     1     0     1     1
#>  [90,]    1    1    0    0    1    0    0    1    1     0     1     1     1     0     1     1     0
#>  [91,]    1    0    0    1    0    1    0    1    1     1     0     1     0     0     0     0     1
#>  [92,]    1    1    1    1    1    0    1    1    1     1     1     1     1     1     1     1     0
#>  [93,]    0    0    1    0    1    0    1    1    1     0     1     0     0     1     0     0     1
#>  [94,]    1    1    1    0    1    1    1    1    1     0     1     0     1     0     0     1     0
#>  [95,]    1    0    1    1    0    1    1    1    1     0     1     0     0     1     0     1     1
#>  [96,]    1    0    1    1    1    0    0    0    0     1     0     0     0     1     1     1     0
#>  [97,]    0    1    0    1    0    1    1    0    1     0     0     1     0     0     1     0     0
#>  [98,]    0    1    0    1    1    0    0    1    1     0     0     1     1     0     0     0     0
#>  [99,]    0    1    0    1    0    0    0    0    0     0     1     0     0     0     1     1     0
#> [100,]    0    0    0    0    1    0    0    0    0     1     0     0     0     1     0     0     0
#>        [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25] [,26] [,27] [,28] [,29] [,30] [,31] [,32]
#>   [1,]     1     0     0     0     0     0     0     0     0     0     0     1     1     0     1
#>   [2,]     0     1     1     1     0     0     1     0     1     0     0     0     1     0     1
#>   [3,]     1     1     1     1     1     0     1     1     1     1     0     0     0     1     1
#>   [4,]     0     1     1     1     1     0     1     0     0     0     1     0     1     1     1
#>   [5,]     1     1     0     0     1     1     1     0     1     0     0     0     0     0     1
#>   [6,]     1     0     1     1     1     0     1     1     0     0     0     0     0     1     0
#>   [7,]     1     1     0     1     0     0     1     0     0     1     1     0     1     1     0
#>   [8,]     1     0     0     0     0     1     0     1     0     1     1     1     0     1     1
#>   [9,]     0     1     0     0     1     0     1     1     1     0     0     1     1     1     0
#>  [10,]     1     0     0     1     0     1     0     1     1     1     1     0     0     1     0
#>  [11,]     0     1     1     0     1     1     1     0     1     0     0     0     1     1     0
#>  [12,]     0     1     1     0     1     1     0     0     0     1     0     1     0     1     1
#>  [13,]     0     0     1     0     1     1     0     0     0     0     0     1     0     0     1
#>  [14,]     0     1     1     0     0     1     1     1     0     1     1     1     0     1     0
#>  [15,]     0     1     0     0     0     1     1     1     0     0     0     0     1     0     0
#>  [16,]     0     1     1     1     0     0     1     0     0     0     0     0     0     1     1
#>  [17,]     1     1     1     0     1     1     0     0     1     0     0     0     1     1     0
#>  [18,]     1     1     0     1     0     1     0     1     1     0     1     0     0     0     1
#>  [19,]     0     0     1     0     1     0     0     0     1     1     1     0     0     1     0
#>  [20,]     0     1     0     0     0     1     1     1     1     0     1     1     1     0     1
#>  [21,]     1     1     1     1     0     0     0     1     1     0     0     1     1     1     1
#>  [22,]     0     0     0     1     1     0     1     0     1     0     1     0     1     0     0
#>  [23,]     1     0     1     0     0     0     1     0     0     1     0     0     0     1     0
#>  [24,]     0     1     0     1     1     0     0     0     0     1     1     0     1     0     1
#>  [25,]     1     0     1     1     0     0     0     1     0     1     1     0     1     1     1
#>  [26,]     0     1     0     1     1     1     0     0     1     0     1     0     0     1     1
#>  [27,]     0     1     0     0     1     1     0     1     1     1     1     0     0     0     0
#>  [28,]     0     0     1     1     0     0     1     0     1     0     1     1     0     0     0
#>  [29,]     0     0     1     1     0     1     0     1     0     1     0     1     0     0     0
#>  [30,]     1     0     1     1     0     1     1     1     1     1     0     0     0     1     1
#>  [31,]     1     1     0     0     1     1     1     0     0     1     1     0     0     1     0
#>  [32,]     1     1     0     1     1     0     0     0     1     0     0     1     0     0     1
#>  [33,]     1     0     0     1     1     0     0     1     0     0     0     1     1     1     1
#>  [34,]     0     0     1     0     0     0     0     1     1     0     1     1     1     1     0
#>  [35,]     0     1     1     0     1     1     1     0     0     0     1     0     0     1     0
#>  [36,]     1     1     0     0     1     1     1     0     1     0     1     0     1     1     0
#>  [37,]     0     1     1     0     1     1     0     1     0     0     0     1     0     0     1
#>  [38,]     1     0     1     1     0     0     1     0     1     0     0     0     0     1     0
#>  [39,]     1     0     0     1     0     1     0     1     1     1     0     1     0     0     1
#>  [40,]     0     1     0     1     1     1     1     0     0     1     0     1     1     0     0
#>  [41,]     0     1     1     0     1     0     0     0     1     0     0     0     0     0     0
#>  [42,]     0     0     1     1     0     1     1     0     0     0     1     1     0     1     0
#>  [43,]     1     1     1     0     0     0     0     1     0     1     0     0     0     1     1
#>  [44,]     1     0     1     0     1     0     0     0     0     0     1     0     1     1     0
#>  [45,]     1     0     0     1     0     1     0     0     1     1     0     1     1     1     1
#>  [46,]     0     1     1     0     0     0     1     1     1     0     1     1     0     1     0
#>  [47,]     0     1     0     1     1     1     0     1     1     1     0     1     0     0     1
#>  [48,]     0     0     0     1     0     1     0     0     1     1     0     0     0     1     1
#>  [49,]     1     1     0     1     0     1     0     1     1     1     0     0     1     0     1
#>  [50,]     1     1     1     1     1     0     0     1     1     1     1     1     0     0     0
#>  [51,]     1     0     1     1     1     1     1     0     0     1     1     0     0     0     0
#>  [52,]     1     1     0     0     1     1     1     0     0     1     1     0     0     0     0
#>  [53,]     0     1     0     1     1     0     0     1     1     1     1     1     1     1     0
#>  [54,]     0     0     0     0     1     0     1     0     1     0     1     1     1     1     1
#>  [55,]     0     0     1     0     1     1     0     1     1     1     0     1     1     1     1
#>  [56,]     0     1     1     1     0     1     1     0     0     1     1     1     0     1     0
#>  [57,]     0     1     1     0     0     1     0     0     0     1     1     1     0     1     1
#>  [58,]     0     0     1     1     0     1     1     1     0     1     0     1     1     1     1
#>  [59,]     1     1     0     0     1     1     0     0     0     0     0     0     1     0     0
#>  [60,]     1     1     1     1     0     0     0     0     0     1     1     1     1     1     1
#>  [61,]     0     0     0     0     0     1     1     0     0     0     0     0     1     1     1
#>  [62,]     0     1     0     0     0     1     0     0     0     0     1     0     0     0     0
#>  [63,]     1     0     1     1     0     0     0     0     1     0     0     0     1     0     0
#>  [64,]     1     1     0     0     0     0     1     0     0     1     0     1     1     0     0
#>  [65,]     1     1     1     1     0     1     1     0     0     0     0     0     1     1     1
#>  [66,]     1     1     0     0     0     1     0     0     0     0     1     1     0     0     1
#>  [67,]     0     0     1     0     1     0     1     0     1     1     0     1     0     0     0
#>  [68,]     0     0     0     0     0     0     0     0     1     0     1     0     0     0     1
#>  [69,]     1     0     1     1     0     1     0     1     0     0     1     1     0     1     1
#>  [70,]     0     0     1     1     0     1     0     0     1     1     1     0     0     0     1
#>  [71,]     1     0     0     1     0     0     1     1     1     0     0     1     0     0     0
#>  [72,]     1     1     1     1     1     0     0     1     0     1     1     1     0     0     0
#>  [73,]     0     0     0     1     1     1     1     0     0     1     1     0     1     0     1
#>  [74,]     1     1     1     1     0     1     1     0     0     0     0     0     0     1     1
#>  [75,]     0     0     0     0     1     1     0     1     0     1     1     0     0     1     1
#>  [76,]     1     1     1     1     1     0     0     0     1     1     1     1     0     0     0
#>  [77,]     1     1     0     1     0     0     0     1     0     0     0     0     1     0     0
#>  [78,]     0     0     1     0     1     1     1     0     0     0     1     1     0     0     1
#>  [79,]     1     0     0     0     0     1     0     1     0     1     0     0     1     0     0
#>  [80,]     0     0     0     0     0     1     1     0     1     1     0     1     0     0     1
#>  [81,]     0     1     0     1     1     0     0     1     1     0     1     0     1     1     0
#>  [82,]     0     1     0     0     0     0     0     0     0     0     0     0     0     1     1
#>  [83,]     0     1     1     1     1     0     1     0     0     1     0     0     0     0     1
#>  [84,]     0     0     0     1     0     1     1     1     1     1     1     1     0     1     1
#>  [85,]     0     0     1     0     1     1     0     1     1     1     1     1     0     1     1
#>  [86,]     1     1     1     0     0     0     0     0     0     0     0     0     1     1     0
#>  [87,]     0     0     1     0     0     0     0     0     1     0     0     1     1     1     1
#>  [88,]     1     0     1     0     0     1     1     0     0     1     1     0     1     0     1
#>  [89,]     0     0     0     0     0     0     1     1     0     1     0     1     1     1     1
#>  [90,]     1     0     1     1     0     1     1     1     1     1     0     1     0     0     0
#>  [91,]     1     0     0     0     0     1     0     0     1     0     0     1     0     1     0
#>  [92,]     0     0     0     1     1     0     0     1     0     0     1     1     1     1     1
#>  [93,]     0     1     1     0     0     1     0     0     1     0     0     0     1     1     0
#>  [94,]     0     0     0     0     0     1     0     1     0     1     0     0     0     0     1
#>  [95,]     1     1     0     0     0     0     0     0     0     1     0     0     0     0     1
#>  [96,]     1     0     1     0     1     1     1     1     1     0     1     0     0     0     1
#>  [97,]     0     0     1     1     0     0     1     1     1     0     0     0     1     1     0
#>  [98,]     1     0     1     1     1     1     1     0     1     1     0     1     0     1     1
#>  [99,]     1     1     1     0     0     0     1     1     0     1     1     1     0     1     0
#> [100,]     1     1     1     0     1     0     1     1     0     1     0     1     1     0     0
#>        [,33] [,34] [,35] [,36] [,37] [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47]
#>   [1,]     0     0     0     1     1     0     0     0     0     1     1     0     1     1     1
#>   [2,]     0     1     1     1     0     1     1     1     0     1     0     1     0     1     0
#>   [3,]     0     0     0     0     1     0     1     0     0     1     1     0     0     0     1
#>   [4,]     1     0     1     1     1     0     1     1     1     0     0     1     0     1     1
#>   [5,]     0     1     0     0     1     1     0     0     1     0     0     1     1     1     0
#>   [6,]     0     1     1     1     1     0     1     0     1     0     1     1     0     1     1
#>   [7,]     0     1     1     0     1     1     1     0     0     1     0     1     0     1     0
#>   [8,]     0     1     0     1     1     0     0     1     0     0     1     0     0     0     1
#>   [9,]     1     1     0     0     1     1     0     0     0     0     0     1     0     1     0
#>  [10,]     0     0     1     0     0     0     1     1     1     1     1     1     1     0     1
#>  [11,]     1     0     1     0     0     0     0     1     0     1     0     1     0     1     1
#>  [12,]     1     0     0     0     0     1     1     1     1     0     1     0     0     0     0
#>  [13,]     1     0     1     1     1     0     0     0     0     1     0     0     1     0     0
#>  [14,]     0     1     1     0     1     1     0     1     1     0     0     0     1     1     0
#>  [15,]     0     0     1     1     1     0     1     1     1     0     0     0     0     0     1
#>  [16,]     0     0     1     0     1     1     0     0     1     1     1     0     0     0     1
#>  [17,]     0     0     0     0     0     1     1     0     1     1     1     0     1     1     0
#>  [18,]     0     1     1     1     0     0     1     0     0     1     0     1     1     0     0
#>  [19,]     0     0     1     0     1     1     0     0     0     1     0     1     0     1     0
#>  [20,]     1     1     1     0     0     0     1     0     1     0     0     1     1     0     1
#>  [21,]     0     1     1     1     0     0     1     1     0     0     0     0     0     1     0
#>  [22,]     0     0     1     1     1     1     0     1     1     0     1     0     1     1     1
#>  [23,]     0     0     1     0     0     1     1     1     0     1     1     1     1     0     1
#>  [24,]     1     0     0     0     0     1     0     0     0     0     0     0     1     0     1
#>  [25,]     0     1     0     0     1     1     1     1     0     1     0     0     0     1     0
#>  [26,]     1     1     1     0     0     0     0     0     1     1     1     1     1     0     0
#>  [27,]     0     1     0     0     1     0     0     0     1     1     0     0     1     1     0
#>  [28,]     0     0     1     1     0     1     0     0     0     1     1     0     1     1     1
#>  [29,]     0     0     1     0     0     1     0     0     1     0     1     0     0     1     1
#>  [30,]     0     1     1     0     0     1     1     1     0     0     1     0     1     1     1
#>  [31,]     1     1     0     1     0     0     1     1     0     1     0     1     0     0     1
#>  [32,]     1     1     1     0     1     0     0     0     0     0     0     1     0     0     1
#>  [33,]     1     0     0     1     1     1     0     1     1     0     1     1     0     0     1
#>  [34,]     0     0     1     0     0     0     1     0     1     1     0     0     1     1     0
#>  [35,]     1     1     1     0     1     1     0     1     0     0     1     0     0     0     1
#>  [36,]     0     1     0     0     0     1     1     0     1     0     0     0     0     0     0
#>  [37,]     1     1     1     0     0     1     0     0     0     0     1     0     1     1     0
#>  [38,]     0     1     0     1     0     0     0     0     0     1     1     0     1     0     1
#>  [39,]     1     0     0     1     0     1     0     1     1     1     1     1     1     1     1
#>  [40,]     0     1     1     1     0     1     1     0     1     1     1     0     0     0     0
#>  [41,]     0     0     1     1     0     1     1     1     0     1     0     0     0     0     0
#>  [42,]     1     0     1     0     1     1     1     1     1     0     1     1     1     1     0
#>  [43,]     0     0     1     0     0     1     0     1     0     1     1     0     0     0     1
#>  [44,]     1     1     1     0     1     0     0     0     0     0     1     0     0     0     0
#>  [45,]     0     1     0     1     0     0     0     1     1     1     0     0     0     1     1
#>  [46,]     1     0     1     0     0     1     0     0     0     1     0     0     1     0     1
#>  [47,]     0     1     0     1     0     0     0     0     1     1     1     1     1     0     0
#>  [48,]     0     0     1     0     0     0     0     0     1     1     0     0     1     1     0
#>  [49,]     1     0     0     1     1     0     0     1     1     0     1     0     0     1     1
#>  [50,]     0     0     1     0     1     1     1     1     1     1     1     0     0     0     1
#>  [51,]     1     1     1     1     1     0     1     1     0     1     1     0     1     0     0
#>  [52,]     1     0     1     1     1     0     0     1     1     1     1     0     0     1     1
#>  [53,]     1     1     0     0     1     0     1     1     1     1     0     1     0     0     0
#>  [54,]     0     0     1     1     0     0     0     0     1     0     1     0     0     0     1
#>  [55,]     1     0     1     1     0     0     0     0     0     1     0     0     1     1     0
#>  [56,]     1     0     0     1     1     0     0     1     0     0     1     1     0     0     1
#>  [57,]     1     0     1     0     1     1     0     0     0     1     1     0     0     0     0
#>  [58,]     0     0     1     1     1     0     1     0     0     0     0     1     1     1     1
#>  [59,]     1     0     0     0     1     1     0     0     0     0     1     0     0     1     1
#>  [60,]     1     1     0     1     1     0     1     1     0     0     1     1     1     1     1
#>  [61,]     0     0     1     1     1     0     1     0     1     1     0     0     0     1     1
#>  [62,]     0     0     1     0     0     0     0     0     0     1     0     1     0     1     1
#>  [63,]     0     0     0     0     0     1     0     0     0     0     1     0     1     1     0
#>  [64,]     1     1     1     0     1     1     1     0     0     0     0     1     1     0     0
#>  [65,]     1     0     1     1     1     0     0     1     1     0     0     1     0     1     1
#>  [66,]     0     1     1     0     0     1     0     0     0     1     0     0     1     0     0
#>  [67,]     1     1     1     0     0     1     1     0     0     1     1     0     0     1     0
#>  [68,]     1     1     1     1     0     1     1     0     0     0     1     0     1     0     0
#>  [69,]     0     0     1     1     1     0     1     0     0     1     1     1     0     1     1
#>  [70,]     0     0     1     1     0     0     1     1     1     1     0     1     0     0     0
#>  [71,]     0     1     1     0     1     0     0     0     1     1     0     0     0     1     0
#>  [72,]     0     1     0     0     1     1     1     0     0     1     1     1     0     0     1
#>  [73,]     1     0     0     0     1     0     0     1     1     1     1     0     1     1     1
#>  [74,]     0     1     0     1     0     1     1     1     1     1     1     0     1     0     1
#>  [75,]     1     1     0     1     0     1     1     0     1     1     0     0     0     0     0
#>  [76,]     0     1     0     1     1     1     0     0     1     0     0     1     1     1     1
#>  [77,]     0     0     1     1     1     1     1     0     1     1     1     0     1     0     1
#>  [78,]     1     0     0     1     1     0     1     1     0     0     0     1     1     1     0
#>  [79,]     1     1     1     0     0     0     0     0     0     1     0     0     0     1     1
#>  [80,]     1     0     1     0     1     1     0     1     0     0     1     1     0     1     0
#>  [81,]     1     1     1     0     1     1     1     0     1     1     1     1     0     0     0
#>  [82,]     0     1     1     0     0     1     0     1     0     1     0     0     1     0     0
#>  [83,]     0     1     1     0     1     0     0     0     0     0     1     0     1     1     0
#>  [84,]     1     1     1     1     1     1     1     1     1     1     1     1     0     0     0
#>  [85,]     1     0     1     1     0     0     1     0     0     0     0     0     1     0     1
#>  [86,]     1     0     0     0     1     1     0     1     0     0     1     0     1     1     1
#>  [87,]     0     1     0     1     1     0     1     1     0     0     1     0     1     1     0
#>  [88,]     1     1     0     0     0     1     1     1     1     0     0     1     1     1     0
#>  [89,]     0     1     0     1     0     0     1     1     1     0     0     1     0     0     1
#>  [90,]     1     1     1     1     1     0     0     0     0     1     0     0     0     0     1
#>  [91,]     1     1     0     0     1     1     1     1     1     1     1     0     1     1     1
#>  [92,]     1     0     0     0     1     0     1     1     1     0     0     1     1     1     1
#>  [93,]     1     0     1     0     1     0     0     1     1     0     0     0     1     1     0
#>  [94,]     1     1     1     1     0     0     1     1     1     1     1     0     1     1     1
#>  [95,]     0     0     0     0     1     1     1     0     1     1     0     0     1     1     0
#>  [96,]     0     0     0     0     1     1     1     0     1     1     0     1     1     1     1
#>  [97,]     1     0     0     0     1     1     0     0     0     1     0     1     1     0     0
#>  [98,]     1     0     0     0     0     0     1     0     0     0     0     1     0     1     0
#>  [99,]     1     1     1     1     1     1     1     1     1     1     0     0     0     0     0
#> [100,]     1     1     1     0     1     0     0     1     1     1     0     1     1     1     1
#>        [,48] [,49] [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61] [,62]
#>   [1,]     1     0     1     0     0     1     0     1     1     1     1     0     1     1     0
#>   [2,]     0     1     1     0     1     1     0     1     0     0     0     1     0     0     0
#>   [3,]     1     1     0     1     0     1     0     1     0     0     0     0     1     0     0
#>   [4,]     0     0     0     1     0     1     1     0     0     1     1     1     0     1     1
#>   [5,]     1     1     0     0     0     0     1     1     0     0     0     1     1     1     1
#>   [6,]     0     0     0     0     0     1     0     0     1     0     1     1     1     1     0
#>   [7,]     0     1     1     1     0     1     0     1     0     0     1     0     0     1     1
#>   [8,]     1     1     0     0     0     1     1     0     1     1     1     1     1     0     1
#>   [9,]     1     0     1     0     1     1     1     1     1     1     0     1     1     0     1
#>  [10,]     0     1     1     1     0     0     0     1     1     0     1     1     0     0     0
#>  [11,]     0     1     0     1     0     0     0     1     1     1     1     0     1     1     0
#>  [12,]     1     0     0     0     0     1     1     1     1     1     0     0     1     0     1
#>  [13,]     0     0     1     1     0     0     1     0     0     0     1     0     1     1     0
#>  [14,]     0     1     0     1     1     0     1     1     0     1     0     1     1     0     1
#>  [15,]     0     0     0     1     0     0     1     0     0     0     1     1     0     1     1
#>  [16,]     0     0     1     1     0     0     0     1     1     0     1     0     0     0     0
#>  [17,]     0     1     1     1     0     1     1     1     1     1     1     1     0     0     0
#>  [18,]     0     1     0     0     1     0     1     1     0     1     1     0     1     0     0
#>  [19,]     0     0     1     0     1     0     0     1     0     0     1     0     0     0     0
#>  [20,]     1     1     0     0     0     1     0     0     0     0     1     0     1     1     0
#>  [21,]     1     1     0     0     1     1     0     0     0     0     0     1     0     0     0
#>  [22,]     0     0     1     0     1     0     1     0     0     1     1     0     1     0     0
#>  [23,]     1     0     1     0     0     0     0     1     0     1     0     0     1     0     1
#>  [24,]     0     0     0     1     1     1     1     0     0     0     0     0     1     0     1
#>  [25,]     1     0     0     1     1     0     0     1     0     1     1     0     1     1     1
#>  [26,]     0     0     1     1     0     0     0     0     0     1     1     1     1     1     1
#>  [27,]     1     0     0     0     1     0     1     1     0     1     0     0     1     1     0
#>  [28,]     0     1     0     1     1     0     1     0     1     1     1     1     0     1     0
#>  [29,]     0     1     1     1     1     1     1     1     0     1     0     0     0     1     1
#>  [30,]     1     0     1     1     0     0     0     0     1     1     1     1     1     1     1
#>  [31,]     1     1     1     0     0     0     1     1     0     0     0     1     1     0     1
#>  [32,]     1     1     1     1     1     0     0     1     0     1     0     0     0     1     1
#>  [33,]     1     1     0     0     1     1     1     1     1     1     0     0     1     1     1
#>  [34,]     1     1     1     1     0     1     0     0     1     1     0     1     0     0     0
#>  [35,]     0     0     0     0     1     1     0     0     0     0     1     0     0     0     0
#>  [36,]     1     1     0     1     1     0     0     0     1     1     0     0     0     0     1
#>  [37,]     1     1     0     0     0     0     1     0     1     0     0     1     1     0     0
#>  [38,]     0     0     0     0     1     1     1     1     0     0     1     0     1     1     1
#>  [39,]     1     1     1     0     1     1     0     1     0     0     1     1     1     1     0
#>  [40,]     1     0     1     1     0     0     0     0     1     0     1     1     0     0     0
#>  [41,]     0     1     1     0     0     0     1     1     1     1     1     0     0     1     1
#>  [42,]     1     1     0     0     0     1     1     1     0     1     0     1     1     1     0
#>  [43,]     0     0     1     0     0     0     1     0     1     0     1     0     1     0     0
#>  [44,]     0     1     1     1     1     1     1     1     1     1     1     0     1     1     1
#>  [45,]     0     0     1     1     1     0     0     0     0     1     0     1     0     0     1
#>  [46,]     0     1     1     0     1     0     1     1     1     1     1     0     1     1     0
#>  [47,]     1     0     1     0     0     1     1     0     1     0     1     0     0     0     1
#>  [48,]     1     1     0     0     1     0     1     0     1     1     1     1     1     0     0
#>  [49,]     0     0     1     1     1     1     0     0     1     0     0     0     0     0     1
#>  [50,]     1     0     0     0     1     0     0     0     1     0     0     0     0     0     0
#>  [51,]     1     1     0     0     1     1     0     0     0     1     0     0     0     1     0
#>  [52,]     1     1     1     1     0     0     1     1     0     0     0     0     0     1     1
#>  [53,]     0     0     0     1     0     0     1     1     1     0     0     1     0     0     0
#>  [54,]     0     0     1     0     0     1     1     0     1     0     1     0     0     1     1
#>  [55,]     1     1     1     0     1     1     1     1     1     1     1     1     0     0     0
#>  [56,]     1     1     0     0     1     0     0     0     0     0     0     0     0     0     1
#>  [57,]     0     0     1     1     1     0     0     0     0     0     0     0     0     0     0
#>  [58,]     1     1     0     0     1     0     1     1     0     1     0     1     1     0     0
#>  [59,]     0     0     1     1     1     0     0     0     0     1     0     0     0     1     0
#>  [60,]     0     1     1     0     0     0     0     1     1     1     1     1     0     0     1
#>  [61,]     1     0     0     0     0     1     1     1     0     1     0     1     0     1     0
#>  [62,]     0     0     1     0     0     1     0     0     0     1     1     0     1     0     1
#>  [63,]     0     0     0     1     0     1     1     0     1     1     0     1     1     0     1
#>  [64,]     0     0     0     0     0     1     1     0     1     1     1     0     0     1     1
#>  [65,]     0     0     1     0     1     1     1     0     0     0     0     0     1     0     1
#>  [66,]     1     0     0     1     0     0     0     0     0     1     0     0     0     1     1
#>  [67,]     0     1     1     1     0     1     0     0     0     1     0     1     1     1     1
#>  [68,]     1     1     1     1     0     0     0     1     0     1     1     0     1     1     1
#>  [69,]     0     0     0     0     1     1     0     0     1     1     0     0     1     0     0
#>  [70,]     1     1     0     0     1     1     1     0     1     1     0     1     1     0     1
#>  [71,]     0     0     1     0     0     0     1     0     0     0     0     1     0     1     1
#>  [72,]     0     0     0     0     1     0     0     0     1     1     1     0     1     1     1
#>  [73,]     1     1     0     0     0     1     1     0     0     0     0     1     1     1     1
#>  [74,]     1     1     1     0     1     1     0     1     0     1     1     0     0     1     1
#>  [75,]     1     0     0     1     0     0     1     1     0     0     0     1     1     0     0
#>  [76,]     0     1     0     1     0     1     0     1     0     1     0     1     1     1     1
#>  [77,]     0     1     1     0     0     1     0     1     0     0     0     0     0     1     1
#>  [78,]     0     1     1     1     1     0     0     0     1     1     1     0     1     0     0
#>  [79,]     1     1     1     1     1     0     1     0     1     1     0     1     0     0     0
#>  [80,]     0     1     0     0     1     1     0     1     1     0     1     0     0     0     0
#>  [81,]     0     1     1     0     1     0     0     0     1     1     0     0     0     0     1
#>  [82,]     1     1     0     0     0     1     1     1     1     1     1     0     1     1     1
#>  [83,]     1     0     0     1     0     1     0     1     0     0     1     1     0     0     0
#>  [84,]     1     0     1     1     1     0     1     0     0     1     0     1     0     0     0
#>  [85,]     1     0     1     0     1     1     1     0     1     1     0     0     1     0     0
#>  [86,]     1     1     0     1     0     0     1     0     1     1     1     1     0     1     1
#>  [87,]     0     0     0     0     0     0     1     1     0     1     1     0     1     0     0
#>  [88,]     1     1     1     1     0     0     1     0     0     0     0     1     1     0     1
#>  [89,]     0     0     0     0     1     1     0     1     1     1     0     1     0     1     1
#>  [90,]     1     0     0     0     0     1     1     0     1     0     0     1     1     0     0
#>  [91,]     1     0     0     1     1     1     1     0     0     0     0     1     1     0     1
#>  [92,]     0     0     0     0     0     1     0     0     0     0     1     1     1     1     0
#>  [93,]     1     0     1     0     1     0     1     1     1     0     0     0     1     0     0
#>  [94,]     0     0     0     1     0     0     1     0     1     0     0     1     0     0     1
#>  [95,]     1     0     0     0     0     0     0     0     0     1     0     0     1     1     1
#>  [96,]     0     1     1     1     1     0     0     0     1     0     0     0     0     1     0
#>  [97,]     1     1     1     1     1     1     0     0     0     0     1     1     1     1     0
#>  [98,]     0     0     1     0     0     0     1     0     0     1     0     1     0     0     0
#>  [99,]     1     0     0     0     0     0     0     1     1     1     1     0     1     0     1
#> [100,]     1     1     0     0     1     0     0     1     1     1     1     1     0     0     1
#>        [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#>   [1,]     0     0     0     0     0     0     1     0     1     1     0     1     0     0     1
#>   [2,]     1     0     1     0     1     0     1     1     0     0     1     0     0     1     1
#>   [3,]     1     0     1     1     0     0     0     0     0     1     0     0     0     0     0
#>   [4,]     1     0     0     1     0     1     0     0     0     0     0     1     1     0     0
#>   [5,]     1     1     0     1     1     1     1     0     0     1     0     1     0     1     0
#>   [6,]     1     1     1     0     0     1     1     1     1     0     0     0     1     0     0
#>   [7,]     1     1     0     1     1     1     0     1     0     1     1     0     0     0     0
#>   [8,]     1     1     0     0     0     0     1     1     1     1     1     1     1     1     1
#>   [9,]     1     0     1     1     1     1     1     0     0     1     0     1     0     0     1
#>  [10,]     1     1     0     0     0     0     0     0     1     0     1     1     0     1     1
#>  [11,]     0     0     0     0     1     0     1     1     0     0     0     1     1     1     1
#>  [12,]     0     1     0     0     0     0     0     0     1     1     0     1     1     0     0
#>  [13,]     0     0     0     1     1     0     0     0     0     0     1     1     1     1     1
#>  [14,]     0     1     0     0     0     1     1     0     1     1     1     0     1     0     1
#>  [15,]     1     1     1     1     1     0     0     1     0     0     1     1     0     1     0
#>  [16,]     1     0     0     1     1     1     0     1     0     0     0     0     1     1     0
#>  [17,]     0     0     1     1     1     0     1     0     1     1     0     0     0     0     1
#>  [18,]     1     0     0     0     1     1     0     1     0     0     0     0     1     0     0
#>  [19,]     0     1     1     1     0     0     0     0     0     0     1     0     0     0     0
#>  [20,]     0     1     1     1     1     1     0     0     1     1     1     1     0     1     0
#>  [21,]     0     1     1     0     1     1     1     1     1     0     0     1     0     0     1
#>  [22,]     1     0     1     1     0     1     1     1     1     1     1     0     1     1     0
#>  [23,]     0     0     1     1     1     1     0     1     0     1     1     1     0     1     1
#>  [24,]     0     1     1     0     1     1     1     0     0     1     1     0     1     1     0
#>  [25,]     0     1     0     0     0     0     1     1     0     1     1     1     0     0     0
#>  [26,]     1     1     0     1     0     1     0     1     1     1     1     0     0     0     0
#>  [27,]     0     1     1     0     0     1     1     0     1     1     0     0     1     0     1
#>  [28,]     1     1     0     0     0     1     1     1     1     1     0     0     0     1     0
#>  [29,]     0     1     1     0     1     0     0     0     0     1     1     0     0     1     1
#>  [30,]     1     1     1     1     0     0     0     1     0     1     0     0     0     0     0
#>  [31,]     0     0     0     0     1     0     1     1     0     0     1     0     1     0     1
#>  [32,]     1     1     1     1     0     1     0     1     1     1     1     0     0     0     1
#>  [33,]     1     1     0     0     1     0     1     1     0     1     1     0     1     1     1
#>  [34,]     1     1     1     0     1     0     0     0     0     0     0     1     1     0     0
#>  [35,]     1     0     1     1     0     0     0     1     1     1     1     0     1     1     0
#>  [36,]     0     1     1     0     1     0     1     0     1     1     1     1     1     0     0
#>  [37,]     0     1     0     1     1     1     0     0     0     1     1     0     1     0     1
#>  [38,]     0     1     0     0     1     1     0     0     1     1     0     0     1     1     1
#>  [39,]     0     0     0     1     1     0     0     1     1     0     1     1     0     0     0
#>  [40,]     0     0     0     0     0     1     1     0     0     0     1     0     1     1     1
#>  [41,]     0     1     0     0     0     1     0     0     1     1     0     1     0     1     1
#>  [42,]     1     1     0     0     1     1     1     0     1     1     1     1     0     0     1
#>  [43,]     1     1     0     0     1     0     0     0     0     0     1     1     1     0     0
#>  [44,]     1     1     0     1     1     0     0     1     0     1     0     0     1     0     1
#>  [45,]     1     0     1     1     0     1     1     1     1     1     1     0     0     0     1
#>  [46,]     1     0     0     1     1     1     0     0     0     1     1     1     1     1     1
#>  [47,]     1     1     0     0     0     1     1     1     0     1     0     1     0     1     1
#>  [48,]     0     0     1     0     1     0     0     1     0     1     1     1     0     0     1
#>  [49,]     1     1     1     0     0     0     0     0     0     1     0     1     1     0     1
#>  [50,]     1     1     1     1     0     1     1     0     1     1     0     1     0     0     0
#>  [51,]     0     0     1     0     0     0     0     0     0     1     1     0     1     1     0
#>  [52,]     0     0     1     1     0     0     0     0     0     0     1     0     0     1     1
#>  [53,]     1     1     1     1     0     0     1     1     1     0     1     1     0     0     1
#>  [54,]     0     0     0     1     0     0     1     1     1     1     1     1     1     1     1
#>  [55,]     1     1     0     1     0     1     0     1     1     1     0     1     0     1     1
#>  [56,]     1     1     0     0     1     1     1     1     1     1     1     0     1     0     0
#>  [57,]     1     0     0     1     0     0     0     1     1     1     0     0     0     1     1
#>  [58,]     0     1     1     1     1     1     1     1     0     0     1     0     1     1     1
#>  [59,]     0     0     1     0     0     1     0     1     0     0     0     1     1     0     0
#>  [60,]     0     1     0     0     0     0     0     0     1     0     1     1     1     0     0
#>  [61,]     1     1     0     0     0     0     0     0     1     1     1     0     1     1     1
#>  [62,]     1     1     0     1     1     1     1     0     0     0     0     0     0     1     0
#>  [63,]     0     1     0     0     1     0     0     1     1     1     0     0     0     1     0
#>  [64,]     1     0     0     1     0     1     0     0     1     0     1     0     0     0     0
#>  [65,]     1     1     0     0     0     0     1     0     1     0     0     1     0     1     0
#>  [66,]     0     0     0     0     0     0     0     0     1     1     0     1     1     0     1
#>  [67,]     1     1     1     1     1     1     0     1     1     0     1     1     0     0     0
#>  [68,]     0     0     0     1     1     0     1     1     0     0     0     0     0     0     1
#>  [69,]     1     1     1     1     1     1     1     1     1     0     0     1     0     0     0
#>  [70,]     0     1     1     1     1     1     1     1     1     1     0     1     1     0     0
#>  [71,]     0     1     1     1     0     1     0     0     0     0     0     0     0     1     1
#>  [72,]     1     1     1     1     1     1     0     0     0     1     0     1     1     1     0
#>  [73,]     0     0     0     1     1     1     1     0     0     0     0     1     1     0     1
#>  [74,]     1     0     1     0     1     1     0     1     0     0     0     1     1     1     0
#>  [75,]     1     1     0     1     0     1     0     0     0     1     1     1     0     0     0
#>  [76,]     0     0     1     1     0     1     0     0     1     1     1     1     1     0     1
#>  [77,]     0     1     0     1     1     1     1     0     0     1     0     1     0     1     1
#>  [78,]     0     0     0     0     0     1     0     0     0     1     0     0     0     0     1
#>  [79,]     0     0     0     0     0     0     0     1     1     1     1     1     0     1     0
#>  [80,]     0     0     0     0     1     0     0     1     1     0     1     0     1     0     1
#>  [81,]     0     1     0     0     1     0     0     1     0     0     0     0     1     1     1
#>  [82,]     1     1     0     0     0     0     1     0     1     0     1     0     1     0     0
#>  [83,]     0     0     1     1     0     1     0     1     1     0     0     1     0     1     0
#>  [84,]     1     1     0     1     1     1     0     1     0     0     0     0     0     1     0
#>  [85,]     1     0     1     1     0     1     0     0     1     0     1     0     1     1     0
#>  [86,]     0     1     1     1     0     0     0     1     0     0     0     1     0     0     1
#>  [87,]     0     0     0     1     0     1     1     0     0     0     0     0     0     0     0
#>  [88,]     1     1     1     0     0     0     1     0     1     1     1     1     0     0     1
#>  [89,]     1     0     1     0     1     1     0     1     0     1     0     0     0     1     0
#>  [90,]     0     1     0     1     1     0     0     1     0     1     1     1     1     1     1
#>  [91,]     0     0     1     0     0     1     1     0     1     1     0     1     0     1     0
#>  [92,]     1     1     0     1     1     1     0     1     0     1     1     1     1     0     1
#>  [93,]     1     1     1     0     0     0     0     0     0     0     0     0     0     0     1
#>  [94,]     0     0     1     0     1     1     1     0     0     1     0     1     0     1     0
#>  [95,]     1     1     0     1     1     1     0     1     1     0     0     1     0     1     0
#>  [96,]     1     1     0     1     0     1     1     0     0     0     1     0     1     1     1
#>  [97,]     0     0     0     1     1     0     1     1     1     1     0     1     0     1     1
#>  [98,]     1     1     1     0     1     1     0     1     1     0     0     0     1     0     0
#>  [99,]     0     0     1     0     0     0     1     1     0     1     0     1     1     0     0
#> [100,]     0     0     1     0     1     0     0     0     0     1     1     1     0     1     1
#>        [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85] [,86] [,87] [,88] [,89] [,90] [,91] [,92]
#>   [1,]     1     0     0     1     1     1     1     0     1     0     0     0     0     0     1
#>   [2,]     0     0     0     1     0     0     1     0     0     1     1     1     1     1     1
#>   [3,]     1     1     1     0     1     0     0     1     0     0     0     0     0     0     0
#>   [4,]     1     0     1     1     0     1     1     1     0     0     0     0     0     0     0
#>   [5,]     0     1     1     0     1     0     1     0     0     1     0     0     0     1     1
#>   [6,]     1     1     0     1     1     1     1     0     0     0     0     0     0     0     1
#>   [7,]     0     1     1     1     1     0     1     1     1     0     1     1     1     0     1
#>   [8,]     0     1     1     0     1     0     1     0     1     1     1     1     0     1     0
#>   [9,]     0     0     1     1     0     0     0     0     0     1     1     1     0     1     1
#>  [10,]     0     1     0     0     1     1     0     0     1     0     1     0     1     1     0
#>  [11,]     1     0     1     1     1     1     0     1     0     1     1     1     1     0     1
#>  [12,]     0     0     1     0     0     1     1     1     0     0     0     0     0     1     1
#>  [13,]     0     0     0     1     1     1     1     0     1     0     0     0     1     1     1
#>  [14,]     0     1     0     1     0     1     0     0     0     0     1     1     0     1     0
#>  [15,]     0     1     1     0     1     0     1     0     0     1     1     0     1     0     0
#>  [16,]     0     0     1     1     0     0     1     1     0     0     0     0     0     1     1
#>  [17,]     1     1     0     0     0     0     0     0     0     0     1     0     0     1     1
#>  [18,]     1     0     1     0     1     1     0     1     1     0     1     0     0     0     1
#>  [19,]     1     1     1     1     0     1     0     0     1     0     0     1     1     0     1
#>  [20,]     0     1     1     0     0     1     0     1     0     1     0     1     1     1     0
#>  [21,]     1     1     0     0     1     0     1     0     0     0     1     0     1     1     1
#>  [22,]     1     1     1     1     1     0     0     1     1     1     1     1     0     1     1
#>  [23,]     1     0     1     1     1     1     0     0     0     0     0     0     1     0     0
#>  [24,]     1     0     1     1     1     0     0     1     1     0     0     1     1     0     0
#>  [25,]     1     1     0     1     0     1     0     1     1     0     0     1     0     1     0
#>  [26,]     1     0     0     0     0     0     0     1     1     1     0     1     1     0     1
#>  [27,]     1     1     1     0     0     1     1     1     1     0     0     1     0     0     1
#>  [28,]     0     0     0     1     0     0     0     0     0     1     0     0     1     1     0
#>  [29,]     1     0     1     0     1     0     0     1     0     1     1     0     1     1     1
#>  [30,]     0     1     1     0     1     1     1     1     0     0     1     0     0     0     0
#>  [31,]     0     1     0     0     1     0     1     1     0     0     0     0     0     1     1
#>  [32,]     0     0     0     0     1     1     1     0     0     0     1     0     1     1     1
#>  [33,]     0     0     1     0     1     0     0     0     0     1     0     0     1     1     0
#>  [34,]     1     1     0     0     0     1     0     0     0     1     1     1     1     0     1
#>  [35,]     1     1     1     0     1     1     1     0     1     1     1     1     0     1     0
#>  [36,]     0     0     0     1     1     0     0     0     0     1     0     1     1     1     1
#>  [37,]     0     0     1     1     0     1     1     0     1     1     1     1     1     1     1
#>  [38,]     0     1     1     0     1     0     0     0     0     1     1     0     1     1     1
#>  [39,]     1     0     1     0     0     1     0     0     1     0     0     0     0     0     0
#>  [40,]     0     1     0     0     0     1     1     0     0     0     0     1     1     1     0
#>  [41,]     1     0     0     0     1     0     0     1     1     0     1     0     1     0     1
#>  [42,]     0     0     1     1     1     1     0     1     0     0     0     0     1     1     1
#>  [43,]     0     0     0     1     0     1     1     0     0     1     0     1     0     1     1
#>  [44,]     0     0     1     1     0     0     1     0     0     0     1     0     0     1     0
#>  [45,]     1     1     0     0     1     0     1     0     1     1     1     1     1     1     0
#>  [46,]     0     1     1     1     1     1     0     0     0     1     1     1     1     1     1
#>  [47,]     0     0     0     1     0     0     1     0     0     0     1     0     1     1     1
#>  [48,]     0     1     1     1     1     0     1     0     0     1     1     1     0     1     1
#>  [49,]     0     1     1     0     1     0     0     1     1     0     0     0     0     0     0
#>  [50,]     1     1     1     0     1     1     0     1     1     1     0     1     0     0     0
#>  [51,]     0     0     1     0     1     1     1     1     1     1     0     0     1     0     0
#>  [52,]     1     0     1     1     1     0     1     0     0     0     1     1     0     0     1
#>  [53,]     0     1     0     1     1     0     1     0     1     0     1     1     0     1     0
#>  [54,]     1     0     1     0     0     1     1     0     0     1     0     0     0     1     0
#>  [55,]     1     1     0     1     0     0     1     1     0     0     0     1     0     1     1
#>  [56,]     0     0     1     0     1     1     0     1     1     0     1     1     1     0     1
#>  [57,]     1     0     1     0     1     0     1     0     0     0     0     0     0     0     1
#>  [58,]     1     1     0     0     0     0     0     0     1     1     0     0     1     0     0
#>  [59,]     0     1     0     1     1     1     0     1     0     1     0     1     1     1     1
#>  [60,]     0     1     1     1     0     1     1     0     1     1     0     1     0     1     1
#>  [61,]     0     1     0     0     1     0     0     1     1     0     1     1     1     1     0
#>  [62,]     0     0     1     1     0     1     1     1     0     1     0     1     0     0     1
#>  [63,]     0     0     1     0     0     1     1     1     1     0     0     1     0     0     1
#>  [64,]     0     1     0     0     0     0     1     1     1     1     0     0     0     1     1
#>  [65,]     0     0     0     1     1     1     1     1     1     0     0     0     0     0     1
#>  [66,]     0     1     1     1     0     0     1     0     0     1     1     0     1     0     0
#>  [67,]     1     0     0     0     1     0     0     1     1     1     1     0     0     1     0
#>  [68,]     0     0     0     0     1     0     0     1     1     1     1     1     1     1     1
#>  [69,]     1     0     1     0     0     0     1     0     1     1     0     1     1     0     0
#>  [70,]     1     1     1     1     1     1     1     1     1     1     1     1     1     0     0
#>  [71,]     1     0     1     1     0     1     1     0     0     0     1     0     0     0     1
#>  [72,]     1     0     0     0     1     1     1     1     1     0     1     0     1     0     1
#>  [73,]     0     0     0     0     1     1     1     0     0     1     1     1     1     1     1
#>  [74,]     1     1     1     0     0     0     1     1     1     0     1     1     1     1     0
#>  [75,]     0     1     0     1     1     0     0     0     1     0     0     0     0     1     1
#>  [76,]     1     0     0     1     1     1     0     0     1     0     0     0     1     1     1
#>  [77,]     0     1     0     0     1     0     0     0     0     0     1     1     0     1     1
#>  [78,]     1     0     1     1     1     1     1     0     0     0     1     0     0     0     0
#>  [79,]     1     1     0     0     1     1     0     0     0     1     0     0     1     1     1
#>  [80,]     0     0     0     0     1     0     1     1     1     0     1     0     1     1     0
#>  [81,]     0     0     1     0     1     1     0     0     1     1     0     1     0     1     0
#>  [82,]     0     0     1     0     0     1     0     0     1     0     1     0     1     0     0
#>  [83,]     1     0     0     1     1     0     1     1     1     0     1     1     1     1     0
#>  [84,]     0     0     0     1     0     0     0     0     1     0     0     1     0     0     0
#>  [85,]     0     1     0     0     1     1     0     1     1     1     0     0     1     0     1
#>  [86,]     1     1     1     0     1     0     0     0     1     1     1     0     0     1     1
#>  [87,]     1     0     1     1     0     1     1     0     1     1     0     1     1     0     0
#>  [88,]     0     1     1     0     1     1     1     0     1     1     1     0     0     1     1
#>  [89,]     0     1     0     1     0     1     0     0     1     0     1     0     1     0     1
#>  [90,]     1     1     1     1     0     1     0     0     0     1     0     0     0     0     1
#>  [91,]     0     0     1     0     0     0     0     1     0     1     0     0     1     1     0
#>  [92,]     0     0     1     0     1     1     0     1     1     0     1     1     0     1     0
#>  [93,]     0     0     0     0     0     1     1     0     1     0     0     0     1     1     1
#>  [94,]     0     0     0     0     1     0     1     1     1     0     1     0     1     1     0
#>  [95,]     0     0     1     0     0     0     1     0     0     0     0     0     1     0     0
#>  [96,]     0     1     0     0     0     0     1     0     0     1     0     1     1     0     0
#>  [97,]     1     0     1     0     1     1     0     0     1     0     1     1     0     1     0
#>  [98,]     0     0     1     1     1     1     1     0     1     0     1     0     0     1     0
#>  [99,]     0     1     0     1     1     0     0     0     0     1     0     1     1     1     1
#> [100,]     1     0     1     1     0     1     1     1     1     0     1     0     1     0     0
#>        [,93] [,94] [,95] [,96] [,97] [,98] [,99] [,100]
#>   [1,]     0     1     1     1     0     1     1      1
#>   [2,]     1     1     1     0     1     0     0      1
#>   [3,]     1     1     0     0     1     1     0      0
#>   [4,]     0     1     0     1     0     0     1      0
#>   [5,]     1     1     1     0     0     0     0      0
#>   [6,]     0     1     1     1     1     0     1      0
#>   [7,]     0     0     0     0     0     1     1      1
#>   [8,]     1     1     1     0     0     1     1      0
#>   [9,]     1     0     1     1     1     0     1      1
#>  [10,]     1     1     1     1     0     0     1      1
#>  [11,]     0     1     0     0     0     0     0      0
#>  [12,]     1     0     0     0     1     1     0      1
#>  [13,]     1     1     0     0     0     1     1      0
#>  [14,]     1     0     1     1     0     0     1      1
#>  [15,]     0     1     0     0     0     0     1      1
#>  [16,]     1     1     1     1     1     0     0      1
#>  [17,]     0     0     1     0     1     1     1      1
#>  [18,]     0     0     1     0     1     0     1      1
#>  [19,]     0     1     0     1     1     1     0      1
#>  [20,]     1     1     0     1     0     0     0      1
#>  [21,]     1     1     0     0     0     0     1      0
#>  [22,]     1     1     0     1     0     1     1      1
#>  [23,]     1     0     0     0     1     0     0      1
#>  [24,]     1     0     0     0     0     1     0      1
#>  [25,]     0     1     0     0     0     0     1      1
#>  [26,]     1     1     1     0     1     0     1      0
#>  [27,]     0     1     1     0     1     0     0      1
#>  [28,]     0     0     1     0     0     0     0      0
#>  [29,]     1     1     0     1     1     0     1      1
#>  [30,]     1     1     1     0     0     1     1      0
#>  [31,]     1     0     0     1     0     0     1      1
#>  [32,]     1     1     0     0     1     0     1      0
#>  [33,]     1     1     1     0     1     1     1      1
#>  [34,]     1     0     1     0     1     0     1      0
#>  [35,]     1     0     1     0     1     1     0      1
#>  [36,]     1     1     1     0     1     1     1      0
#>  [37,]     0     0     1     1     1     1     0      1
#>  [38,]     0     1     1     1     0     0     0      0
#>  [39,]     0     1     1     1     0     0     0      1
#>  [40,]     1     1     1     1     0     1     0      1
#>  [41,]     0     1     1     1     1     1     0      0
#>  [42,]     0     1     1     0     1     0     0      1
#>  [43,]     1     1     0     0     0     0     1      1
#>  [44,]     1     1     0     0     0     1     1      1
#>  [45,]     0     0     0     1     1     0     1      0
#>  [46,]     0     1     0     1     1     1     1      0
#>  [47,]     0     1     1     0     1     0     1      0
#>  [48,]     1     1     1     0     1     0     0      0
#>  [49,]     0     0     0     0     0     0     1      0
#>  [50,]     0     1     1     1     0     1     1      0
#>  [51,]     1     0     0     1     0     1     0      0
#>  [52,]     0     1     0     1     0     0     1      1
#>  [53,]     0     0     1     1     1     0     1      0
#>  [54,]     0     1     0     1     1     0     1      1
#>  [55,]     0     0     1     1     1     1     1      0
#>  [56,]     0     1     1     1     1     1     0      0
#>  [57,]     1     0     0     1     0     0     1      0
#>  [58,]     0     0     1     0     0     0     0      0
#>  [59,]     0     1     0     1     1     0     1      0
#>  [60,]     0     1     1     0     1     1     1      0
#>  [61,]     0     1     0     1     1     1     0      1
#>  [62,]     1     0     1     0     0     0     1      0
#>  [63,]     0     1     0     0     0     1     1      1
#>  [64,]     0     0     0     1     0     0     0      1
#>  [65,]     0     0     0     0     1     0     0      0
#>  [66,]     0     1     1     0     0     1     1      0
#>  [67,]     1     1     1     0     1     0     1      0
#>  [68,]     1     1     1     1     1     1     0      0
#>  [69,]     1     0     0     0     0     1     1      0
#>  [70,]     1     0     1     0     1     0     0      1
#>  [71,]     1     1     0     0     1     1     1      1
#>  [72,]     0     1     0     1     1     0     1      0
#>  [73,]     1     0     1     0     1     0     0      0
#>  [74,]     0     1     0     0     1     1     0      1
#>  [75,]     1     0     1     0     0     0     1      1
#>  [76,]     0     0     1     0     1     1     1      0
#>  [77,]     0     0     1     1     0     0     0      1
#>  [78,]     0     0     1     0     0     1     1      0
#>  [79,]     0     1     1     1     0     0     1      0
#>  [80,]     1     1     1     1     0     1     0      0
#>  [81,]     1     1     0     1     1     1     0      0
#>  [82,]     0     0     0     0     1     0     1      1
#>  [83,]     1     1     1     1     1     0     1      1
#>  [84,]     0     1     1     1     1     1     0      1
#>  [85,]     0     1     0     1     0     0     0      0
#>  [86,]     0     0     1     0     1     1     0      0
#>  [87,]     1     1     1     1     1     1     0      0
#>  [88,]     1     0     0     1     0     0     0      1
#>  [89,]     0     0     1     1     0     0     0      0
#>  [90,]     1     1     1     0     1     0     0      0
#>  [91,]     0     1     0     1     0     1     0      0
#>  [92,]     0     0     0     1     0     0     0      0
#>  [93,]     1     1     0     0     1     1     0      1
#>  [94,]     0     1     0     1     1     0     0      0
#>  [95,]     0     1     1     0     1     0     0      1
#>  [96,]     0     0     1     0     0     0     0      1
#>  [97,]     0     1     0     1     1     1     1      0
#>  [98,]     0     1     1     1     1     0     0      0
#>  [99,]     1     1     1     0     0     1     0      0
#> [100,]     1     1     0     0     1     1     0      1

# if you want to have a symmetric matrix (undirexted network) need to be able to flip the rows and
# columns
val <- sample(x = 0:1, size = 100 * 100, replace = TRUE)

mat3 = matrix(data = val, nrow = 100, ncol = 100)

# force symmetry
mat_sym <- (mat3 + t(mat3))%%2
mat_sym

#>        [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16] [,17]
#>   [1,]    0    0    1    0    1    1    0    0    1     1     0     1     0     1     1     1     0
#>   [2,]    0    0    0    0    0    0    0    0    0     1     1     1     1     0     1     1     0
#>   [3,]    1    0    0    0    1    0    0    0    0     0     1     1     0     0     1     1     1
#>   [4,]    0    0    0    0    0    0    0    0    1     1     1     0     1     0     0     1     0
#>   [5,]    1    0    1    0    0    0    0    1    0     1     1     1     1     0     0     1     1
#>   [6,]    1    0    0    0    0    0    0    0    1     0     0     0     1     1     1     1     1
#>   [7,]    0    0    0    0    0    0    0    1    0     1     0     0     0     0     1     1     0
#>   [8,]    0    0    0    0    1    0    1    0    0     1     1     1     1     1     1     1     0
#>   [9,]    1    0    0    1    0    1    0    0    0     1     0     0     1     1     1     1     0
#>  [10,]    1    1    0    1    1    0    1    1    1     0     1     1     1     0     1     1     0
#>  [11,]    0    1    1    1    1    0    0    1    0     1     0     1     0     0     0     1     0
#>  [12,]    1    1    1    0    1    0    0    1    0     1     1     0     0     0     1     1     1
#>  [13,]    0    1    0    1    1    1    0    1    1     1     0     0     0     1     0     1     0
#>  [14,]    1    0    0    0    0    1    0    1    1     0     0     0     1     0     0     1     0
#>  [15,]    1    1    1    0    0    1    1    1    1     1     0     1     0     0     0     0     0
#>  [16,]    1    1    1    1    1    1    1    1    1     1     1     1     1     1     0     0     0
#>  [17,]    0    0    1    0    1    1    0    0    0     0     0     1     0     0     0     0     0
#>  [18,]    1    0    1    0    0    1    0    1    1     1     0     0     1     1     0     0     1
#>  [19,]    0    1    1    1    1    0    0    1    1     0     1     1     1     1     0     0     1
#>  [20,]    0    0    1    1    1    1    1    0    1     1     0     1     0     1     1     1     0
#>  [21,]    1    0    0    0    0    0    1    1    1     0     0     0     0     1     0     1     1
#>  [22,]    0    0    1    0    1    0    1    0    1     0     1     0     1     0     0     0     0
#>  [23,]    0    1    1    1    0    0    1    1    1     0     0     0     0     1     1     0     1
#>  [24,]    1    1    0    1    1    1    1    0    0     0     1     0     0     1     1     1     1
#>  [25,]    0    0    0    1    1    1    0    1    1     0     0     0     0     1     1     1     0
#>  [26,]    1    0    1    0    1    1    0    0    0     1     1     0     0     0     0     1     0
#>  [27,]    1    1    1    0    1    1    0    1    1     0     1     0     0     1     0     1     0
#>  [28,]    1    1    1    1    1    1    0    1    1     0     1     1     1     0     1     0     1
#>  [29,]    1    0    1    0    1    0    1    0    1     1     1     0     0     0     1     0     0
#>  [30,]    0    1    1    1    0    1    0    0    1     0     1     0     0     1     1     1     1
#>  [31,]    1    1    1    1    0    1    1    1    1     0     0     1     0     0     0     0     0
#>  [32,]    1    0    0    0    1    0    0    0    1     1     1     1     1     1     0     1     0
#>  [33,]    1    1    0    0    0    1    1    0    0     0     1     1     0     0     0     0     0
#>  [34,]    1    0    0    0    1    0    0    0    0     1     1     0     0     0     1     1     0
#>  [35,]    0    0    1    0    0    0    0    0    1     0     0     0     0     0     0     1     1
#>  [36,]    1    1    1    0    1    0    0    0    1     1     1     1     1     1     0     0     0
#>  [37,]    1    1    0    0    0    1    0    1    0     0     1     0     1     1     0     0     0
#>  [38,]    0    1    1    0    0    1    0    1    0     1     0     1     0     0     1     0     0
#>  [39,]    0    0    1    0    0    0    1    1    1     0     1     0     0     1     0     1     1
#>  [40,]    1    1    1    1    0    1    1    0    0     1     0     0     1     1     1     0     1
#>  [41,]    1    1    0    1    1    0    1    1    1     0     0     1     1     0     0     0     1
#>  [42,]    0    1    1    1    1    1    0    0    1     1     1     0     0     1     0     1     0
#>  [43,]    0    0    0    0    1    1    0    0    0     0     0     1     0     0     1     0     0
#>  [44,]    0    0    1    0    1    1    0    0    0     1     1     0     0     1     0     1     1
#>  [45,]    1    0    1    0    0    1    1    0    0     0     0     0     1     0     0     1     1
#>  [46,]    1    0    0    1    0    1    0    1    0     0     0     1     0     1     0     0     0
#>  [47,]    0    0    0    1    1    1    0    0    0     1     1     1     1     0     1     1     1
#>  [48,]    1    1    0    0    0    1    1    0    1     0     0     0     1     1     0     0     1
#>  [49,]    0    0    0    0    0    0    0    0    1     1     1     1     1     0     1     1     1
#>  [50,]    1    1    1    0    1    1    1    0    0     0     0     1     1     1     0     0     0
#>  [51,]    0    1    0    1    0    0    1    1    1     1     0     0     0     1     0     0     1
#>  [52,]    0    1    1    1    0    0    0    0    1     1     1     0     1     0     1     1     1
#>  [53,]    1    1    0    0    1    0    1    1    1     1     1     1     0     1     0     0     0
#>  [54,]    0    1    1    0    1    0    1    1    1     0     1     1     1     1     1     1     1
#>  [55,]    0    0    0    1    1    1    1    0    0     0     0     0     1     0     1     1     1
#>  [56,]    1    0    1    1    1    0    0    1    1     0     0     0     1     1     1     1     0
#>  [57,]    1    0    0    0    1    1    1    0    0     0     0     0     1     1     1     1     1
#>  [58,]    0    0    0    1    0    0    0    1    0     0     0     0     0     0     0     0     0
#>  [59,]    0    1    1    1    1    1    1    1    0     0     1     0     1     0     1     0     0
#>  [60,]    1    1    1    1    1    0    0    0    1     0     0     1     0     1     1     0     1
#>  [61,]    1    1    0    1    1    0    1    1    1     0     0     0     1     1     0     1     0
#>  [62,]    1    0    1    1    1    1    1    0    1     1     0     0     1     0     0     0     1
#>  [63,]    1    1    0    0    0    0    0    1    1     0     0     1     1     1     0     0     1
#>  [64,]    1    1    0    0    1    1    1    0    1     0     0     0     1     0     1     1     0
#>  [65,]    0    0    1    0    0    0    1    1    1     1     1     1     1     0     1     0     0
#>  [66,]    1    0    0    1    1    0    0    1    1     1     1     0     0     1     1     0     1
#>  [67,]    1    1    0    1    0    0    1    1    1     0     1     0     1     1     0     0     0
#>  [68,]    1    1    0    1    1    1    0    1    1     1     1     1     0     1     0     0     0
#>  [69,]    1    0    0    1    0    0    0    1    0     1     1     1     0     1     1     0     0
#>  [70,]    1    0    0    1    0    0    1    1    1     0     0     0     0     0     0     0     1
#>  [71,]    0    0    1    1    0    0    0    1    0     0     0     1     1     0     0     1     1
#>  [72,]    1    1    0    1    0    0    1    0    1     1     1     1     0     1     1     1     0
#>  [73,]    0    1    0    0    0    1    1    0    1     0     1     0     1     1     1     0     0
#>  [74,]    0    0    0    1    0    1    0    0    0     1     0     1     1     1     0     1     0
#>  [75,]    1    0    0    0    1    1    1    0    1     0     1     0     1     0     0     0     1
#>  [76,]    0    0    1    0    0    1    0    1    0     0     1     1     0     1     1     0     1
#>  [77,]    1    0    1    0    0    1    1    1    0     0     1     1     1     1     1     1     0
#>  [78,]    0    1    0    1    0    1    0    1    0     1     0     1     0     0     1     1     1
#>  [79,]    0    1    0    1    0    1    1    0    0     1     0     0     1     1     0     1     0
#>  [80,]    0    0    1    1    0    1    0    0    0     0     0     0     1     1     1     0     0
#>  [81,]    0    0    0    0    0    0    0    1    1     1     0     1     1     0     0     0     0
#>  [82,]    0    1    0    0    1    1    1    0    1     1     0     1     1     0     0     0     1
#>  [83,]    1    1    0    0    1    1    1    0    0     1     0     0     1     0     0     0     0
#>  [84,]    1    0    0    0    0    0    0    1    0     1     1     0     0     1     1     1     0
#>  [85,]    1    0    1    1    1    0    1    0    1     0     1     1     0     0     0     1     1
#>  [86,]    1    1    0    1    0    1    1    1    1     1     0     0     0     1     0     1     1
#>  [87,]    0    0    0    1    1    1    0    1    0     1     1     0     0     1     1     0     0
#>  [88,]    0    0    1    1    1    1    1    0    1     0     0     1     0     0     1     0     0
#>  [89,]    0    0    0    1    1    0    1    0    1     1     1     0     1     1     0     1     1
#>  [90,]    0    1    1    1    0    1    0    0    0     0     1     1     0     0     0     1     1
#>  [91,]    1    0    0    1    1    1    1    0    1     1     1     0     0     0     1     0     0
#>  [92,]    0    1    1    0    0    0    0    0    0     0     0     0     0     1     0     0     0
#>  [93,]    1    0    1    1    0    0    1    0    0     0     1     1     0     1     0     1     0
#>  [94,]    0    1    0    0    1    1    0    0    0     1     1     1     1     1     0     1     1
#>  [95,]    0    0    0    1    1    0    0    1    1     1     1     0     1     0     0     1     0
#>  [96,]    1    1    0    0    0    0    0    1    1     0     0     1     0     0     0     0     1
#>  [97,]    1    0    0    1    1    1    0    1    0     1     1     1     1     0     0     1     1
#>  [98,]    1    0    0    1    0    1    1    1    0     0     1     1     0     0     0     1     0
#>  [99,]    0    0    0    0    0    0    0    0    0     0     1     1     1     1     1     1     0
#> [100,]    0    0    1    1    1    1    1    1    1     0     1     0     0     1     1     1     0
#>        [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25] [,26] [,27] [,28] [,29] [,30] [,31] [,32]
#>   [1,]     1     0     0     1     0     0     1     0     1     1     1     1     0     1     1
#>   [2,]     0     1     0     0     0     1     1     0     0     1     1     0     1     1     0
#>   [3,]     1     1     1     0     1     1     0     0     1     1     1     1     1     1     0
#>   [4,]     0     1     1     0     0     1     1     1     0     0     1     0     1     1     0
#>   [5,]     0     1     1     0     1     0     1     1     1     1     1     1     0     0     1
#>   [6,]     1     0     1     0     0     0     1     1     1     1     1     0     1     1     0
#>   [7,]     0     0     1     1     1     1     1     0     0     0     0     1     0     1     0
#>   [8,]     1     1     0     1     0     1     0     1     0     1     1     0     0     1     0
#>   [9,]     1     1     1     1     1     1     0     1     0     1     1     1     1     1     1
#>  [10,]     1     0     1     0     0     0     0     0     1     0     0     1     0     0     1
#>  [11,]     0     1     0     0     1     0     1     0     1     1     1     1     1     0     1
#>  [12,]     0     1     1     0     0     0     0     0     0     0     1     0     0     1     1
#>  [13,]     1     1     0     0     1     0     0     0     0     0     1     0     0     0     1
#>  [14,]     1     1     1     1     0     1     1     1     0     1     0     0     1     0     1
#>  [15,]     0     0     1     0     0     1     1     1     0     0     1     1     1     0     0
#>  [16,]     0     0     1     1     0     0     1     1     1     1     0     0     1     0     1
#>  [17,]     1     1     0     1     0     1     1     0     0     0     1     0     1     0     0
#>  [18,]     0     1     1     1     0     1     0     0     1     0     0     0     1     1     0
#>  [19,]     1     0     1     0     1     1     1     1     1     1     0     1     1     0     1
#>  [20,]     1     1     0     0     0     1     0     0     0     1     1     1     1     1     0
#>  [21,]     1     0     0     0     1     0     1     0     0     0     0     0     1     1     1
#>  [22,]     0     1     0     1     0     0     0     0     0     0     0     0     0     1     1
#>  [23,]     1     1     1     0     0     0     1     0     1     0     1     0     1     1     0
#>  [24,]     0     1     0     1     0     1     0     0     0     0     0     1     0     0     1
#>  [25,]     0     1     0     0     0     0     0     0     1     1     1     0     1     1     1
#>  [26,]     1     1     0     0     0     1     0     1     0     1     0     1     0     0     1
#>  [27,]     0     1     1     0     0     0     0     1     1     0     1     1     1     0     0
#>  [28,]     0     0     1     0     0     1     0     1     0     1     0     1     0     1     1
#>  [29,]     0     1     1     0     0     0     1     0     1     1     1     0     0     0     1
#>  [30,]     1     1     1     1     0     1     0     1     0     1     0     0     0     1     0
#>  [31,]     1     0     1     1     1     1     0     1     0     0     1     0     1     0     1
#>  [32,]     0     1     0     1     1     0     1     1     1     0     1     1     0     1     0
#>  [33,]     1     1     0     1     0     1     1     1     1     0     0     1     1     0     1
#>  [34,]     0     1     0     0     1     0     1     1     1     1     1     1     0     0     0
#>  [35,]     0     1     1     1     1     0     1     0     0     0     1     0     1     0     0
#>  [36,]     0     0     0     0     0     0     0     1     0     0     0     1     1     1     1
#>  [37,]     0     1     0     1     0     0     0     1     0     0     0     1     1     1     1
#>  [38,]     1     1     1     0     1     1     0     1     0     1     0     0     0     0     0
#>  [39,]     0     0     1     0     1     0     0     1     1     0     0     0     1     0     0
#>  [40,]     1     0     1     1     1     0     0     0     0     1     0     1     0     0     1
#>  [41,]     1     0     0     0     0     1     0     0     0     1     1     1     1     1     1
#>  [42,]     1     1     1     0     0     0     0     0     0     1     1     0     0     1     1
#>  [43,]     1     0     0     0     0     1     0     1     1     1     1     0     1     0     0
#>  [44,]     0     0     1     1     1     1     0     0     0     0     1     0     1     0     0
#>  [45,]     1     0     0     0     1     0     0     0     1     1     0     0     1     1     1
#>  [46,]     1     1     1     0     1     0     0     1     1     1     1     0     1     1     1
#>  [47,]     0     1     0     1     1     1     1     0     0     1     1     1     0     1     0
#>  [48,]     0     0     1     1     1     0     1     1     0     0     1     1     1     1     1
#>  [49,]     0     1     1     1     1     0     1     1     1     0     1     1     1     0     1
#>  [50,]     0     0     0     1     0     1     1     0     0     1     1     0     0     1     0
#>  [51,]     1     0     1     1     0     0     0     1     0     1     0     1     0     1     0
#>  [52,]     0     1     0     0     0     1     0     1     0     0     1     1     0     0     1
#>  [53,]     0     1     0     1     0     0     0     1     0     0     1     0     0     1     0
#>  [54,]     1     1     1     0     0     0     1     1     1     0     0     1     0     0     1
#>  [55,]     1     0     0     1     0     1     1     1     1     1     0     1     1     0     1
#>  [56,]     1     1     0     0     0     0     1     1     1     1     0     0     0     0     0
#>  [57,]     1     0     1     1     1     1     0     1     0     1     0     0     1     1     1
#>  [58,]     0     0     0     1     0     1     0     0     1     0     0     1     0     0     1
#>  [59,]     1     1     1     0     0     1     0     0     1     1     0     0     1     0     0
#>  [60,]     1     0     1     0     0     0     0     0     0     1     1     0     0     0     0
#>  [61,]     0     0     0     1     1     0     0     0     1     1     1     0     0     1     0
#>  [62,]     1     0     0     1     1     0     1     0     1     0     1     0     1     1     1
#>  [63,]     1     0     1     0     0     1     0     1     0     0     0     1     1     0     0
#>  [64,]     1     1     1     0     1     1     0     0     0     1     1     1     0     0     1
#>  [65,]     1     0     1     0     0     1     0     1     0     0     1     1     1     1     1
#>  [66,]     0     0     0     1     1     1     0     0     1     1     1     1     1     0     0
#>  [67,]     0     0     1     0     1     1     0     1     1     0     0     0     1     0     1
#>  [68,]     1     0     0     1     1     0     0     1     1     1     0     0     0     1     0
#>  [69,]     1     1     1     0     1     1     1     0     0     1     0     0     0     1     1
#>  [70,]     1     1     0     1     1     0     1     0     0     1     0     1     0     0     0
#>  [71,]     0     1     0     1     0     0     0     0     1     1     1     1     0     0     0
#>  [72,]     1     1     1     0     0     0     1     1     1     0     1     1     1     0     0
#>  [73,]     0     0     1     0     0     1     1     0     0     1     0     1     0     1     0
#>  [74,]     1     0     0     0     1     0     0     0     1     0     0     1     0     1     0
#>  [75,]     0     1     1     1     1     0     1     0     0     1     0     1     1     1     1
#>  [76,]     1     0     0     1     1     1     1     0     1     0     1     0     0     0     1
#>  [77,]     1     1     0     1     1     1     0     1     0     0     0     1     0     1     1
#>  [78,]     0     0     0     0     0     0     0     1     1     0     0     0     1     1     0
#>  [79,]     0     1     0     0     1     0     0     0     1     1     1     1     1     0     0
#>  [80,]     0     0     0     0     0     0     1     1     1     0     1     0     1     1     0
#>  [81,]     0     1     1     1     1     0     1     0     1     1     1     1     1     1     1
#>  [82,]     0     1     0     0     1     0     1     0     1     0     1     1     0     0     1
#>  [83,]     1     0     0     0     1     0     0     0     0     1     1     1     0     1     1
#>  [84,]     1     1     1     1     0     1     1     0     0     0     1     1     1     1     1
#>  [85,]     0     0     0     0     1     0     0     1     1     0     1     1     1     1     1
#>  [86,]     0     0     0     0     1     1     0     0     0     0     0     1     0     1     1
#>  [87,]     0     1     0     1     0     0     1     1     1     0     1     1     1     1     1
#>  [88,]     1     0     1     0     0     0     1     0     0     0     1     1     1     1     1
#>  [89,]     0     0     1     1     1     0     1     0     0     0     0     0     0     0     0
#>  [90,]     0     1     0     0     0     0     0     1     1     0     1     1     1     1     1
#>  [91,]     0     1     1     1     0     0     0     1     0     0     1     1     1     1     1
#>  [92,]     0     0     1     1     0     0     0     1     0     0     1     0     0     0     0
#>  [93,]     1     1     1     0     0     1     0     1     0     1     0     0     1     1     0
#>  [94,]     0     0     0     0     0     1     0     0     0     0     1     0     1     0     0
#>  [95,]     0     0     1     1     1     1     1     1     0     0     1     0     1     0     1
#>  [96,]     1     1     0     0     1     0     0     1     1     1     1     1     0     1     1
#>  [97,]     1     0     0     0     0     1     0     1     1     1     0     0     1     1     1
#>  [98,]     0     1     1     1     0     1     0     1     1     0     0     1     0     0     0
#>  [99,]     1     1     0     0     1     1     0     1     1     1     1     0     0     0     0
#> [100,]     0     1     1     1     1     1     1     1     1     0     0     0     0     0     1
#>        [,33] [,34] [,35] [,36] [,37] [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47]
#>   [1,]     1     1     0     1     1     0     0     1     1     0     0     0     1     1     0
#>   [2,]     1     0     0     1     1     1     0     1     1     1     0     0     0     0     0
#>   [3,]     0     0     1     1     0     1     1     1     0     1     0     1     1     0     0
#>   [4,]     0     0     0     0     0     0     0     1     1     1     0     0     0     1     1
#>   [5,]     0     1     0     1     0     0     0     0     1     1     1     1     0     0     1
#>   [6,]     1     0     0     0     1     1     0     1     0     1     1     1     1     1     1
#>   [7,]     1     0     0     0     0     0     1     1     1     0     0     0     1     0     0
#>   [8,]     0     0     0     0     1     1     1     0     1     0     0     0     0     1     0
#>   [9,]     0     0     1     1     0     0     1     0     1     1     0     0     0     0     0
#>  [10,]     0     1     0     1     0     1     0     1     0     1     0     1     0     0     1
#>  [11,]     1     1     0     1     1     0     1     0     0     1     0     1     0     0     1
#>  [12,]     1     0     0     1     0     1     0     0     1     0     1     0     0     1     1
#>  [13,]     0     0     0     1     1     0     0     1     1     0     0     0     1     0     1
#>  [14,]     0     0     0     1     1     0     1     1     0     1     0     1     0     1     0
#>  [15,]     0     1     0     0     0     1     0     1     0     0     1     0     0     0     1
#>  [16,]     0     1     1     0     0     0     1     0     0     1     0     1     1     0     1
#>  [17,]     0     0     1     0     0     0     1     1     1     0     0     1     1     0     1
#>  [18,]     1     0     0     0     0     1     0     1     1     1     1     0     1     1     0
#>  [19,]     1     1     1     0     1     1     0     0     0     1     0     0     0     1     1
#>  [20,]     0     0     1     0     0     1     1     1     0     1     0     1     0     1     0
#>  [21,]     1     0     1     0     1     0     0     1     0     0     0     1     0     0     1
#>  [22,]     0     1     1     0     0     1     1     1     0     0     0     1     1     1     1
#>  [23,]     1     0     0     0     0     1     0     0     1     0     1     1     0     0     1
#>  [24,]     1     1     1     0     0     0     0     0     0     0     0     0     0     0     1
#>  [25,]     1     1     0     1     1     1     1     0     0     0     1     0     0     1     0
#>  [26,]     1     1     0     0     0     0     1     0     0     0     1     0     1     1     0
#>  [27,]     0     1     0     0     0     1     0     1     1     1     1     0     1     1     1
#>  [28,]     0     1     1     0     0     0     0     0     1     1     1     1     0     1     1
#>  [29,]     1     1     0     1     1     0     0     1     1     0     0     0     0     0     1
#>  [30,]     1     0     1     1     1     0     1     0     1     0     1     1     1     1     0
#>  [31,]     0     0     0     1     1     0     0     0     1     1     0     0     1     1     1
#>  [32,]     1     0     0     1     1     0     0     1     1     1     0     0     1     1     0
#>  [33,]     0     0     1     0     0     0     1     1     1     1     0     1     0     0     0
#>  [34,]     0     0     0     1     1     1     1     0     1     0     0     0     1     1     1
#>  [35,]     1     0     0     0     0     1     0     1     0     0     1     1     1     1     1
#>  [36,]     0     1     0     0     1     1     1     1     0     0     1     1     0     1     0
#>  [37,]     0     1     0     1     0     1     1     1     0     0     0     1     0     0     0
#>  [38,]     0     1     1     1     1     0     1     0     0     1     1     0     1     1     0
#>  [39,]     1     1     0     1     1     1     0     0     0     1     1     0     0     0     0
#>  [40,]     1     0     1     1     1     0     0     0     1     1     0     0     0     0     1
#>  [41,]     1     1     0     0     0     0     0     1     0     1     0     0     0     1     1
#>  [42,]     1     0     0     0     0     1     1     1     1     0     1     1     0     0     0
#>  [43,]     0     0     1     1     0     1     1     0     0     1     0     1     0     0     1
#>  [44,]     1     0     1     1     1     0     0     0     0     1     1     0     0     0     1
#>  [45,]     0     1     1     0     0     1     0     0     0     0     0     0     0     1     1
#>  [46,]     0     1     1     1     0     1     0     0     1     0     0     0     1     0     0
#>  [47,]     0     1     1     0     0     0     0     1     1     0     1     1     1     0     0
#>  [48,]     0     1     0     0     1     0     0     1     0     1     1     0     1     1     0
#>  [49,]     1     0     1     1     0     0     0     0     1     1     0     0     0     0     1
#>  [50,]     0     0     0     1     0     1     1     0     0     0     1     1     0     0     0
#>  [51,]     1     0     1     0     0     0     0     1     1     1     1     0     1     0     0
#>  [52,]     0     1     0     0     0     1     1     0     0     1     1     0     1     1     0
#>  [53,]     0     1     0     1     0     1     0     0     1     1     1     1     0     1     0
#>  [54,]     1     0     1     0     1     0     0     1     1     0     1     1     1     0     1
#>  [55,]     0     1     0     1     0     0     0     0     1     1     1     1     1     0     0
#>  [56,]     0     1     1     1     1     1     1     1     0     1     1     0     0     1     0
#>  [57,]     0     0     0     1     1     0     0     0     1     1     0     0     1     0     0
#>  [58,]     1     0     0     1     0     0     0     0     0     0     1     1     0     0     0
#>  [59,]     1     0     0     0     1     1     1     1     0     0     0     1     0     1     0
#>  [60,]     0     0     1     0     1     0     1     1     0     0     0     1     0     0     0
#>  [61,]     0     0     0     1     0     0     0     1     0     1     1     1     1     0     0
#>  [62,]     0     0     1     0     0     1     1     0     1     1     1     1     1     0     0
#>  [63,]     1     1     0     0     1     1     1     1     1     1     1     0     0     1     0
#>  [64,]     1     1     0     0     1     1     1     0     0     1     1     0     1     1     1
#>  [65,]     1     0     0     0     1     1     1     1     0     0     0     0     1     1     0
#>  [66,]     1     0     0     0     1     1     1     1     0     0     1     0     1     1     1
#>  [67,]     0     1     1     0     0     1     0     1     1     1     1     0     1     0     1
#>  [68,]     0     0     0     0     1     0     1     1     0     1     1     0     1     0     1
#>  [69,]     1     1     1     0     0     0     0     1     1     1     1     0     0     0     0
#>  [70,]     1     0     0     0     0     1     1     1     1     0     0     0     1     1     0
#>  [71,]     0     0     1     0     1     1     1     0     0     0     0     0     0     0     1
#>  [72,]     1     0     1     1     0     0     1     1     1     0     0     1     1     0     0
#>  [73,]     1     0     1     0     0     1     0     1     0     1     0     0     1     1     1
#>  [74,]     0     1     1     1     0     0     0     1     1     1     0     0     0     0     1
#>  [75,]     1     1     0     0     1     1     0     0     1     0     1     0     0     0     1
#>  [76,]     0     0     1     0     1     0     1     1     0     0     0     1     0     0     0
#>  [77,]     1     0     1     1     1     0     0     1     1     1     1     0     0     0     1
#>  [78,]     0     0     0     0     0     1     0     1     0     1     0     0     1     0     1
#>  [79,]     0     0     0     0     0     0     1     1     1     1     0     0     1     1     0
#>  [80,]     1     1     0     0     0     0     1     1     1     1     0     0     0     0     1
#>  [81,]     0     1     0     0     0     0     0     1     1     0     1     0     1     1     1
#>  [82,]     0     0     0     1     1     0     1     1     0     1     0     1     1     1     0
#>  [83,]     0     1     0     1     1     1     0     1     0     1     0     1     1     0     1
#>  [84,]     1     1     1     0     1     0     0     0     0     1     0     0     0     1     1
#>  [85,]     0     1     1     1     1     1     1     0     0     1     1     1     1     1     1
#>  [86,]     1     0     0     0     0     1     1     1     1     0     1     0     0     0     1
#>  [87,]     1     1     0     1     1     1     1     1     0     0     0     1     0     0     1
#>  [88,]     1     0     0     0     0     1     1     1     1     1     0     0     1     1     1
#>  [89,]     1     1     1     1     1     0     0     0     1     1     1     0     0     0     0
#>  [90,]     1     0     0     1     1     1     1     1     0     0     1     1     1     0     0
#>  [91,]     0     0     1     1     0     1     1     0     1     0     0     0     1     1     1
#>  [92,]     1     1     0     0     0     1     0     0     0     1     1     0     0     1     0
#>  [93,]     1     0     0     1     0     0     0     0     0     0     1     1     0     0     0
#>  [94,]     1     1     0     1     1     0     0     1     0     0     1     1     0     1     0
#>  [95,]     0     0     0     0     1     0     0     0     1     1     1     0     0     0     0
#>  [96,]     0     1     1     0     0     0     0     1     0     1     0     1     1     1     0
#>  [97,]     1     0     1     0     0     0     1     1     0     1     0     1     1     1     1
#>  [98,]     1     1     0     0     1     1     0     0     1     0     0     0     1     1     1
#>  [99,]     0     0     1     0     0     0     1     1     0     1     0     1     1     1     1
#> [100,]     1     1     1     0     0     1     0     1     0     0     1     1     0     0     0
#>        [,48] [,49] [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61] [,62]
#>   [1,]     1     0     1     0     0     1     0     0     1     1     0     0     1     1     1
#>   [2,]     1     0     1     1     1     1     1     0     0     0     0     1     1     1     0
#>   [3,]     0     0     1     0     1     0     1     0     1     0     0     1     1     0     1
#>   [4,]     0     0     0     1     1     0     0     1     1     0     1     1     1     1     1
#>   [5,]     0     0     1     0     0     1     1     1     1     1     0     1     1     1     1
#>   [6,]     1     0     1     0     0     0     0     1     0     1     0     1     0     0     1
#>   [7,]     1     0     1     1     0     1     1     1     0     1     0     1     0     1     1
#>   [8,]     0     0     0     1     0     1     1     0     1     0     1     1     0     1     0
#>   [9,]     1     1     0     1     1     1     1     0     1     0     0     0     1     1     1
#>  [10,]     0     1     0     1     1     1     0     0     0     0     0     0     0     0     1
#>  [11,]     0     1     0     0     1     1     1     0     0     0     0     1     0     0     0
#>  [12,]     0     1     1     0     0     1     1     0     0     0     0     0     1     0     0
#>  [13,]     1     1     1     0     1     0     1     1     1     1     0     1     0     1     1
#>  [14,]     1     0     1     1     0     1     1     0     1     1     0     0     1     1     0
#>  [15,]     0     1     0     0     1     0     1     1     1     1     0     1     1     0     0
#>  [16,]     0     1     0     0     1     0     1     1     1     1     0     0     0     1     0
#>  [17,]     1     1     0     1     1     0     1     1     0     1     0     0     1     0     1
#>  [18,]     0     0     0     1     0     0     1     1     1     1     0     1     1     0     1
#>  [19,]     0     1     0     0     1     1     1     0     1     0     0     1     0     0     0
#>  [20,]     1     1     0     1     0     0     1     0     0     1     0     1     1     0     0
#>  [21,]     1     1     1     1     0     1     0     1     0     1     1     0     0     1     1
#>  [22,]     1     1     0     0     0     0     0     0     0     1     0     0     0     1     1
#>  [23,]     0     0     1     0     1     0     0     1     0     1     1     1     0     0     0
#>  [24,]     1     1     1     0     0     0     1     1     1     0     0     0     0     0     1
#>  [25,]     1     1     0     1     1     1     1     1     1     1     0     0     0     0     0
#>  [26,]     0     1     0     0     0     0     1     1     1     0     1     1     0     1     1
#>  [27,]     0     0     1     1     0     0     0     1     1     1     0     1     1     1     0
#>  [28,]     1     1     1     0     1     1     0     0     0     0     0     0     1     1     1
#>  [29,]     1     1     0     1     1     0     1     1     0     0     1     0     0     0     0
#>  [30,]     1     1     0     0     0     0     0     1     0     1     0     1     0     0     1
#>  [31,]     1     0     1     1     0     1     0     0     0     1     0     0     0     1     1
#>  [32,]     1     1     0     0     1     0     1     1     0     1     1     0     0     0     1
#>  [33,]     0     1     0     1     0     0     1     0     0     0     1     1     0     0     0
#>  [34,]     1     0     0     0     1     1     0     1     1     0     0     0     0     0     0
#>  [35,]     0     1     0     1     0     0     1     0     1     0     0     0     1     0     1
#>  [36,]     0     1     1     0     0     1     0     1     1     1     1     0     0     1     0
#>  [37,]     1     0     0     0     0     0     1     0     1     1     0     1     1     0     0
#>  [38,]     0     0     1     0     1     1     0     0     1     0     0     1     0     0     1
#>  [39,]     0     0     1     0     1     0     0     0     1     0     0     1     1     0     1
#>  [40,]     1     0     0     1     0     0     1     0     1     0     0     1     1     1     0
#>  [41,]     0     1     0     1     0     1     1     1     0     1     0     0     0     0     1
#>  [42,]     1     1     0     1     1     1     0     1     1     1     0     0     0     1     1
#>  [43,]     1     0     1     1     1     1     1     1     1     0     1     0     0     1     1
#>  [44,]     0     0     1     0     0     1     1     1     0     0     1     1     1     1     1
#>  [45,]     1     0     0     1     1     0     1     1     0     1     0     0     0     1     1
#>  [46,]     1     0     0     0     1     1     0     0     1     0     0     1     0     0     0
#>  [47,]     0     1     0     0     0     0     1     0     0     0     0     0     0     0     0
#>  [48,]     0     1     1     0     1     1     1     0     0     0     0     0     0     0     0
#>  [49,]     1     0     1     0     1     0     1     0     0     0     0     1     0     1     0
#>  [50,]     1     1     0     1     0     1     0     1     1     1     0     0     0     1     0
#>  [51,]     0     0     1     0     1     0     1     1     0     1     0     0     0     0     0
#>  [52,]     1     1     0     1     0     0     0     0     0     0     1     0     0     1     1
#>  [53,]     1     0     1     0     0     0     0     1     0     0     0     0     1     1     1
#>  [54,]     1     1     0     1     0     0     0     1     0     1     0     0     1     1     1
#>  [55,]     0     0     1     1     0     1     1     0     0     1     0     1     1     1     0
#>  [56,]     0     0     1     0     0     0     0     0     0     0     0     1     0     0     1
#>  [57,]     0     0     1     1     0     0     1     1     0     0     1     1     0     0     0
#>  [58,]     0     0     0     0     1     0     0     0     0     1     0     0     1     0     1
#>  [59,]     0     1     0     0     0     0     0     1     1     1     0     0     0     0     1
#>  [60,]     0     0     0     0     0     1     1     1     0     0     1     0     0     0     0
#>  [61,]     0     1     1     0     1     1     1     1     0     0     0     0     0     0     1
#>  [62,]     0     0     0     0     1     1     1     0     1     0     1     1     0     1     0
#>  [63,]     0     1     0     0     0     0     1     1     0     1     1     1     1     0     1
#>  [64,]     0     1     0     0     1     1     0     1     0     0     1     1     0     0     1
#>  [65,]     1     0     1     1     0     0     1     0     1     1     1     0     0     1     0
#>  [66,]     0     0     1     0     1     0     1     1     0     0     0     0     1     0     1
#>  [67,]     1     1     1     1     0     0     0     0     1     1     0     0     1     1     0
#>  [68,]     1     1     0     0     0     1     0     1     1     0     1     0     1     1     0
#>  [69,]     0     1     1     1     0     0     0     0     1     1     0     1     1     1     1
#>  [70,]     0     0     1     0     0     0     0     0     0     0     1     0     1     1     1
#>  [71,]     1     0     1     1     1     1     0     1     1     1     0     1     1     0     0
#>  [72,]     1     0     1     0     0     1     0     0     1     1     0     1     0     0     1
#>  [73,]     1     1     0     1     1     0     0     0     0     1     1     0     0     0     0
#>  [74,]     0     0     0     0     1     0     1     0     0     1     0     1     1     0     1
#>  [75,]     1     1     1     0     0     0     0     1     1     1     1     0     1     1     1
#>  [76,]     0     0     0     1     1     0     1     1     0     1     0     0     0     1     1
#>  [77,]     1     0     0     0     1     1     1     0     0     1     0     1     0     0     1
#>  [78,]     0     1     0     0     1     1     1     1     0     0     1     0     1     0     0
#>  [79,]     0     1     1     1     0     1     1     0     0     1     1     1     1     1     1
#>  [80,]     0     0     0     1     1     0     0     0     1     0     0     1     1     1     1
#>  [81,]     0     1     0     0     1     1     0     0     0     0     1     1     1     1     1
#>  [82,]     1     1     0     1     1     1     0     0     1     1     1     1     1     0     1
#>  [83,]     1     1     1     1     1     1     0     0     1     1     0     0     0     1     0
#>  [84,]     0     0     0     1     0     0     0     0     1     0     0     1     1     1     1
#>  [85,]     1     0     1     0     1     0     1     1     1     0     0     0     0     0     0
#>  [86,]     0     0     0     1     0     1     0     0     1     0     1     1     0     0     0
#>  [87,]     0     1     1     1     1     0     1     1     1     0     0     0     0     1     1
#>  [88,]     1     1     1     0     1     1     0     1     1     0     1     1     1     0     0
#>  [89,]     0     0     1     0     1     1     1     0     1     1     0     1     1     1     0
#>  [90,]     0     1     0     0     0     1     1     0     0     1     0     1     1     0     0
#>  [91,]     0     1     0     1     1     0     0     0     0     1     0     0     0     0     1
#>  [92,]     1     1     1     1     0     1     0     0     1     1     1     1     1     1     1
#>  [93,]     1     1     0     1     1     0     1     1     1     1     1     1     1     0     0
#>  [94,]     1     1     0     0     1     0     1     1     1     1     0     0     1     1     1
#>  [95,]     0     1     1     1     1     0     1     1     1     1     0     0     0     0     1
#>  [96,]     0     1     0     1     0     0     1     1     0     0     1     1     1     1     0
#>  [97,]     1     0     1     1     0     0     1     0     1     1     0     1     0     0     1
#>  [98,]     0     0     0     0     0     1     1     0     1     0     1     1     0     1     0
#>  [99,]     1     0     0     1     0     0     0     1     1     1     1     1     0     0     1
#> [100,]     1     1     1     0     1     1     0     1     0     1     1     1     1     1     0
#>        [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#>   [1,]     1     1     0     1     1     1     1     1     0     1     0     0     1     0     1
#>   [2,]     1     1     0     0     1     1     0     0     0     1     1     0     0     0     0
#>   [3,]     0     0     1     0     0     0     0     0     1     0     0     0     0     1     1
#>   [4,]     0     0     0     1     1     1     1     1     1     1     0     1     0     0     0
#>   [5,]     0     1     0     1     0     1     0     0     0     0     0     0     1     0     0
#>   [6,]     0     1     0     0     0     1     0     0     0     0     1     1     1     1     1
#>   [7,]     0     1     1     0     1     0     0     1     0     1     1     0     1     0     1
#>   [8,]     1     0     1     1     1     1     1     1     1     0     0     0     0     1     1
#>   [9,]     1     1     1     1     1     1     0     1     0     1     1     0     1     0     0
#>  [10,]     0     0     1     1     0     1     1     0     0     1     0     1     0     0     0
#>  [11,]     0     0     1     1     1     1     1     0     0     1     1     0     1     1     1
#>  [12,]     1     0     1     0     0     1     1     0     1     1     0     1     0     1     1
#>  [13,]     1     1     1     0     1     0     0     0     1     0     1     1     1     0     1
#>  [14,]     1     0     0     1     1     1     1     0     0     1     1     1     0     1     1
#>  [15,]     0     1     1     1     0     0     1     0     0     1     1     0     0     1     1
#>  [16,]     0     1     0     0     0     0     0     0     1     1     0     1     0     0     1
#>  [17,]     1     0     0     1     0     0     0     1     1     0     0     0     1     1     0
#>  [18,]     1     1     1     0     0     1     1     1     0     1     0     1     0     1     1
#>  [19,]     0     1     0     0     0     0     1     1     1     1     0     0     1     0     1
#>  [20,]     1     1     1     0     1     0     1     0     0     1     1     0     1     0     0
#>  [21,]     0     0     0     1     0     1     0     1     1     0     0     0     1     1     1
#>  [22,]     0     1     0     1     1     1     1     1     0     0     0     1     1     1     1
#>  [23,]     1     1     1     1     1     0     1     0     0     0     1     0     0     1     1
#>  [24,]     0     0     0     0     0     0     1     1     0     1     1     0     1     1     0
#>  [25,]     1     0     1     0     1     1     0     0     0     1     0     0     0     0     1
#>  [26,]     0     0     0     1     1     1     0     0     1     1     0     1     0     1     0
#>  [27,]     0     1     0     1     0     1     1     1     1     0     1     0     1     0     0
#>  [28,]     0     1     1     1     0     0     0     0     1     1     0     0     0     1     0
#>  [29,]     1     1     1     1     0     0     0     1     1     1     1     1     1     0     1
#>  [30,]     1     0     1     1     1     0     0     0     0     1     0     0     1     0     0
#>  [31,]     0     0     1     0     0     1     1     0     0     0     1     1     1     0     1
#>  [32,]     0     1     1     0     1     0     1     0     0     0     0     0     1     1     1
#>  [33,]     1     1     1     1     0     0     1     1     0     1     1     0     1     0     1
#>  [34,]     1     1     0     0     1     0     1     0     0     0     0     1     1     0     0
#>  [35,]     0     0     0     0     1     0     1     0     1     1     1     1     0     1     1
#>  [36,]     0     0     0     0     0     0     0     0     0     1     0     1     0     0     1
#>  [37,]     1     1     1     1     0     1     0     0     1     0     0     0     1     1     1
#>  [38,]     1     1     1     1     1     0     0     1     1     0     1     0     1     0     0
#>  [39,]     1     1     1     1     0     1     0     1     1     1     0     0     0     1     0
#>  [40,]     1     0     1     1     1     1     1     1     0     1     1     1     0     1     1
#>  [41,]     1     0     0     0     1     0     1     1     0     1     0     1     1     0     1
#>  [42,]     1     1     0     0     1     1     1     0     0     0     1     1     0     0     1
#>  [43,]     1     1     0     1     1     1     1     0     0     0     0     0     1     0     1
#>  [44,]     0     0     0     0     0     0     0     0     0     1     0     0     0     1     0
#>  [45,]     0     1     1     1     1     1     0     1     0     1     1     0     0     0     0
#>  [46,]     1     1     1     1     0     0     0     1     0     0     1     0     0     0     0
#>  [47,]     0     1     0     1     1     1     0     0     1     0     1     1     1     0     1
#>  [48,]     0     0     1     0     1     1     0     0     1     1     1     0     1     0     1
#>  [49,]     1     1     0     0     1     1     1     0     0     0     1     0     1     0     0
#>  [50,]     0     0     1     1     1     0     1     1     1     1     0     0     1     0     0
#>  [51,]     0     0     1     0     1     0     1     0     1     0     1     0     0     1     0
#>  [52,]     0     1     0     1     0     0     0     0     1     0     1     1     0     1     1
#>  [53,]     0     1     0     0     0     1     0     0     1     1     0     0     0     0     1
#>  [54,]     1     0     1     1     0     0     0     0     0     0     0     1     0     1     1
#>  [55,]     1     1     0     1     0     1     0     0     1     0     0     0     1     1     0
#>  [56,]     0     0     1     0     1     1     1     0     1     1     0     0     1     0     0
#>  [57,]     1     0     1     0     1     0     1     0     1     1     1     1     1     1     1
#>  [58,]     1     1     1     0     0     1     0     1     0     0     1     0     1     0     0
#>  [59,]     1     1     0     0     0     0     1     0     1     1     0     1     0     0     1
#>  [60,]     1     0     0     1     1     1     1     1     1     0     0     1     1     0     0
#>  [61,]     0     0     1     0     1     1     1     1     0     0     0     0     1     1     0
#>  [62,]     1     1     0     1     0     0     1     1     0     1     0     1     1     1     1
#>  [63,]     0     0     1     1     1     0     1     1     1     1     0     0     1     0     0
#>  [64,]     0     0     1     0     0     0     1     0     0     1     0     1     1     0     1
#>  [65,]     1     1     0     1     1     1     0     0     1     0     0     0     0     0     1
#>  [66,]     1     0     1     0     0     1     0     1     1     1     0     0     1     1     1
#>  [67,]     1     0     1     0     0     0     1     0     0     0     0     1     0     0     0
#>  [68,]     0     0     1     1     0     0     0     1     1     1     0     0     1     0     1
#>  [69,]     1     1     0     0     1     0     0     1     0     0     0     0     0     0     1
#>  [70,]     1     0     0     1     0     1     1     0     1     1     1     1     0     1     0
#>  [71,]     1     0     1     1     0     1     0     1     0     1     0     1     0     1     1
#>  [72,]     1     1     0     1     0     1     0     1     1     0     0     1     0     1     1
#>  [73,]     0     0     0     0     0     0     0     1     0     0     0     1     1     0     1
#>  [74,]     0     1     0     0     1     0     0     1     1     1     1     0     1     1     0
#>  [75,]     1     1     0     1     0     1     0     0     0     0     1     1     0     0     1
#>  [76,]     0     0     0     1     0     0     0     1     1     1     0     1     0     0     0
#>  [77,]     0     1     1     1     0     1     1     0     1     1     1     0     1     0     0
#>  [78,]     0     0     0     1     0     0     0     1     0     0     1     1     1     1     0
#>  [79,]     1     1     0     1     0     1     1     1     0     0     1     1     1     1     0
#>  [80,]     1     0     0     0     1     0     0     0     1     1     1     1     1     0     0
#>  [81,]     1     1     0     1     0     1     0     1     1     0     0     0     0     0     0
#>  [82,]     1     0     1     0     1     1     0     0     1     0     0     1     0     1     1
#>  [83,]     1     1     1     1     0     0     1     1     0     1     1     1     0     1     0
#>  [84,]     0     0     0     0     0     0     0     0     1     0     0     1     1     0     1
#>  [85,]     0     1     1     0     1     1     1     0     1     1     1     0     0     1     0
#>  [86,]     0     1     0     0     1     1     0     1     0     1     1     1     0     1     1
#>  [87,]     0     0     1     0     1     0     1     0     0     0     1     0     1     0     0
#>  [88,]     1     0     0     1     0     0     1     1     1     0     0     1     0     1     1
#>  [89,]     0     0     0     1     0     1     0     1     0     1     0     0     1     0     1
#>  [90,]     1     1     1     0     0     1     0     1     1     0     1     0     0     1     1
#>  [91,]     1     0     0     1     1     0     0     1     1     1     1     0     0     1     1
#>  [92,]     1     1     1     0     1     1     1     0     1     1     1     0     1     0     0
#>  [93,]     1     0     0     1     0     1     0     1     1     0     1     1     1     1     1
#>  [94,]     0     0     0     1     1     0     0     1     0     0     0     0     1     1     1
#>  [95,]     0     0     0     1     1     0     0     1     0     0     1     1     0     0     1
#>  [96,]     0     0     0     0     1     1     0     0     0     0     1     0     0     0     1
#>  [97,]     0     0     0     0     1     1     0     1     0     1     0     1     1     0     0
#>  [98,]     0     0     0     0     1     1     0     1     1     1     1     1     1     1     0
#>  [99,]     1     1     0     0     0     1     1     0     1     1     0     1     1     0     1
#> [100,]     0     0     0     1     1     1     0     0     0     0     0     0     1     0     1
#>        [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85] [,86] [,87] [,88] [,89] [,90] [,91] [,92]
#>   [1,]     0     0     0     0     0     1     1     1     1     0     0     0     0     1     0
#>   [2,]     1     1     0     0     1     1     0     0     1     0     0     0     1     0     1
#>   [3,]     0     0     1     0     0     0     0     1     0     0     1     0     1     0     1
#>   [4,]     1     1     1     0     0     0     0     1     1     1     1     1     1     1     0
#>   [5,]     0     0     0     0     1     1     0     1     0     1     1     1     0     1     0
#>   [6,]     1     1     1     0     1     1     0     0     1     1     1     0     1     1     0
#>   [7,]     0     1     0     0     1     1     0     1     1     0     1     1     0     1     0
#>   [8,]     1     0     0     1     0     0     1     0     1     1     0     0     0     0     0
#>   [9,]     0     0     0     1     1     0     0     1     1     0     1     1     0     1     0
#>  [10,]     1     1     0     1     1     1     1     0     1     1     0     1     0     1     0
#>  [11,]     0     0     0     0     0     0     1     1     0     1     0     1     1     1     0
#>  [12,]     1     0     0     1     1     0     0     1     0     0     1     0     1     0     0
#>  [13,]     0     1     1     1     1     1     0     0     0     0     0     1     0     0     0
#>  [14,]     0     1     1     0     0     0     1     0     1     1     0     1     0     0     1
#>  [15,]     1     0     1     0     0     0     1     0     0     1     1     0     0     1     0
#>  [16,]     1     1     0     0     0     0     1     1     1     0     0     1     1     0     0
#>  [17,]     1     0     0     0     1     0     0     1     1     0     0     1     1     0     0
#>  [18,]     0     0     0     0     0     1     1     0     0     0     1     0     0     0     0
#>  [19,]     0     1     0     1     1     0     1     0     0     1     0     0     1     1     0
#>  [20,]     0     0     0     1     0     0     1     0     0     0     1     1     0     1     1
#>  [21,]     0     0     0     1     0     0     1     0     0     1     0     1     0     1     1
#>  [22,]     0     1     0     1     1     1     0     1     1     0     0     1     0     0     0
#>  [23,]     0     0     0     0     0     0     1     0     1     0     0     0     0     0     0
#>  [24,]     0     0     1     1     1     0     1     0     0     1     1     1     0     0     0
#>  [25,]     1     0     1     0     0     0     0     1     0     1     0     0     1     1     1
#>  [26,]     1     1     1     1     1     0     0     1     0     1     0     0     1     0     0
#>  [27,]     0     1     0     1     0     1     0     0     0     0     0     0     0     0     0
#>  [28,]     0     1     1     1     1     1     1     1     0     1     1     0     1     1     1
#>  [29,]     0     1     0     1     1     1     1     1     1     1     1     0     1     1     0
#>  [30,]     1     1     1     1     0     0     1     1     0     1     1     0     1     1     0
#>  [31,]     1     0     1     1     0     1     1     1     1     1     1     0     1     1     0
#>  [32,]     0     0     0     1     1     1     1     1     1     1     1     0     1     1     0
#>  [33,]     0     0     1     0     0     0     1     0     1     1     1     1     1     0     1
#>  [34,]     0     0     1     1     0     1     1     1     0     1     0     1     0     0     1
#>  [35,]     0     0     0     0     0     0     1     1     0     0     0     1     0     1     0
#>  [36,]     0     0     0     0     1     1     0     1     0     1     0     1     1     1     0
#>  [37,]     0     0     0     0     1     1     1     1     0     1     0     1     1     0     0
#>  [38,]     1     0     0     0     0     1     0     1     1     1     1     0     1     1     1
#>  [39,]     0     1     1     0     1     0     0     1     1     1     1     0     1     1     0
#>  [40,]     1     1     1     1     1     1     0     0     1     1     1     0     1     0     0
#>  [41,]     0     1     1     1     0     0     0     0     1     0     1     1     0     1     0
#>  [42,]     1     1     1     0     1     1     1     1     0     0     1     1     0     0     1
#>  [43,]     0     0     0     1     0     0     0     1     1     0     0     1     1     0     1
#>  [44,]     0     0     0     0     1     1     0     1     0     1     0     0     1     0     0
#>  [45,]     1     1     0     1     1     1     0     1     0     0     1     0     1     1     0
#>  [46,]     0     1     0     1     1     0     1     1     0     0     1     0     0     1     1
#>  [47,]     1     0     1     1     0     1     1     1     1     1     1     0     0     1     0
#>  [48,]     0     0     0     0     1     1     0     1     0     0     1     0     0     0     1
#>  [49,]     1     1     0     1     1     1     0     0     0     1     1     0     1     1     1
#>  [50,]     0     1     0     0     0     1     0     1     0     1     1     1     0     0     1
#>  [51,]     0     1     1     0     1     1     1     0     1     1     0     0     0     1     1
#>  [52,]     1     0     1     1     1     1     0     1     0     1     1     1     0     1     0
#>  [53,]     1     1     0     1     1     1     0     0     1     0     1     1     1     0     1
#>  [54,]     1     1     0     0     0     0     0     1     0     1     0     1     1     0     0
#>  [55,]     1     0     0     0     0     0     0     1     0     1     1     0     0     0     0
#>  [56,]     0     0     1     0     1     1     1     1     1     1     1     1     0     0     1
#>  [57,]     0     1     0     0     1     1     0     0     0     0     0     1     1     1     1
#>  [58,]     1     1     0     1     1     0     0     0     1     0     1     0     0     0     1
#>  [59,]     0     1     1     1     1     0     1     0     1     0     1     1     1     0     1
#>  [60,]     1     1     1     1     1     0     1     0     0     0     1     1     1     0     1
#>  [61,]     0     1     1     1     0     1     1     0     0     1     0     1     0     0     1
#>  [62,]     0     1     1     1     1     0     1     0     0     1     0     0     0     1     1
#>  [63,]     0     1     1     1     1     1     0     0     0     0     1     0     1     1     1
#>  [64,]     0     1     0     1     0     1     0     1     1     0     0     0     1     0     1
#>  [65,]     0     0     0     0     1     1     0     1     0     1     0     0     1     0     1
#>  [66,]     1     1     0     1     0     1     0     0     0     0     1     1     0     1     0
#>  [67,]     0     0     1     0     1     0     0     1     1     1     0     0     0     1     1
#>  [68,]     0     1     0     1     1     0     0     1     1     0     0     1     1     0     1
#>  [69,]     0     1     0     0     0     1     0     1     0     1     1     0     0     0     1
#>  [70,]     1     1     0     1     0     1     0     0     1     0     1     1     1     1     0
#>  [71,]     0     0     1     1     1     0     1     1     0     0     1     0     1     1     1
#>  [72,]     0     0     1     0     0     1     0     1     1     0     0     1     0     1     1
#>  [73,]     1     1     1     0     0     1     0     1     1     1     0     0     1     1     1
#>  [74,]     1     1     1     0     1     1     1     0     1     0     1     0     0     0     0
#>  [75,]     1     1     1     0     0     0     1     0     0     1     0     1     0     0     1
#>  [76,]     1     1     0     0     1     1     0     1     1     0     1     0     1     1     0
#>  [77,]     0     0     0     0     1     0     1     0     1     0     1     1     1     1     0
#>  [78,]     0     0     0     1     0     1     1     1     0     0     1     1     0     0     0
#>  [79,]     0     0     1     0     0     1     0     0     0     0     1     1     1     1     1
#>  [80,]     0     1     0     0     1     0     1     0     0     0     1     1     0     0     0
#>  [81,]     1     0     0     0     1     1     0     1     0     1     0     0     0     1     1
#>  [82,]     0     0     1     1     0     1     1     0     0     1     0     1     0     0     1
#>  [83,]     1     1     0     1     1     0     1     1     0     1     1     1     0     0     0
#>  [84,]     1     0     1     0     1     1     0     1     0     0     1     1     1     1     1
#>  [85,]     1     0     0     1     0     1     1     0     1     0     0     0     1     1     1
#>  [86,]     0     0     0     0     0     0     0     1     0     0     0     1     1     1     0
#>  [87,]     0     0     0     1     1     1     0     0     0     0     0     1     1     1     1
#>  [88,]     1     1     1     0     0     1     1     0     0     0     0     1     1     0     1
#>  [89,]     1     1     1     0     1     1     1     0     1     1     1     0     1     0     0
#>  [90,]     0     1     0     0     0     0     1     1     1     1     1     1     0     1     1
#>  [91,]     0     1     0     1     0     0     1     1     1     1     0     0     1     0     0
#>  [92,]     0     1     0     1     1     0     1     1     0     1     1     0     1     0     0
#>  [93,]     0     1     1     0     0     0     0     0     0     1     1     0     0     0     1
#>  [94,]     0     0     1     1     1     1     0     1     0     0     1     1     0     0     0
#>  [95,]     0     1     0     0     1     1     0     0     0     0     0     1     0     1     0
#>  [96,]     1     0     1     1     1     1     1     1     1     1     0     0     1     0     1
#>  [97,]     1     0     1     1     0     0     0     0     1     0     1     1     1     0     0
#>  [98,]     1     1     1     1     1     1     1     0     1     0     1     0     0     1     0
#>  [99,]     1     0     1     0     0     0     0     1     1     0     1     0     0     0     1
#> [100,]     1     0     0     0     1     1     0     1     1     1     1     1     1     1     0
#>        [,93] [,94] [,95] [,96] [,97] [,98] [,99] [,100]
#>   [1,]     1     0     0     1     1     1     0      0
#>   [2,]     0     1     0     1     0     0     0      0
#>   [3,]     1     0     0     0     0     0     0      1
#>   [4,]     1     0     1     0     1     1     0      1
#>   [5,]     0     1     1     0     1     0     0      1
#>   [6,]     0     1     0     0     1     1     0      1
#>   [7,]     1     0     0     0     0     1     0      1
#>   [8,]     0     0     1     1     1     1     0      1
#>   [9,]     0     0     1     1     0     0     0      1
#>  [10,]     0     1     1     0     1     0     0      0
#>  [11,]     1     1     1     0     1     1     1      1
#>  [12,]     1     1     0     1     1     1     1      0
#>  [13,]     0     1     1     0     1     0     1      0
#>  [14,]     1     1     0     0     0     0     1      1
#>  [15,]     0     0     0     0     0     0     1      1
#>  [16,]     1     1     1     0     1     1     1      1
#>  [17,]     0     1     0     1     1     0     0      0
#>  [18,]     1     0     0     1     1     0     1      0
#>  [19,]     1     0     0     1     0     1     1      1
#>  [20,]     1     0     1     0     0     1     0      1
#>  [21,]     0     0     1     0     0     1     0      1
#>  [22,]     0     0     1     1     0     0     1      1
#>  [23,]     1     1     1     0     1     1     1      1
#>  [24,]     0     0     1     0     0     0     0      1
#>  [25,]     1     0     1     1     1     1     1      1
#>  [26,]     0     0     0     1     1     1     1      1
#>  [27,]     1     0     0     1     1     0     1      0
#>  [28,]     0     1     1     1     0     0     1      0
#>  [29,]     0     0     0     1     0     1     0      0
#>  [30,]     1     1     1     0     1     0     0      0
#>  [31,]     1     0     0     1     1     0     0      0
#>  [32,]     0     0     1     1     1     0     0      1
#>  [33,]     1     1     0     0     1     1     0      1
#>  [34,]     0     1     0     1     0     1     0      1
#>  [35,]     0     0     0     1     1     0     1      1
#>  [36,]     1     1     0     0     0     0     0      0
#>  [37,]     0     1     1     0     0     1     0      0
#>  [38,]     0     0     0     0     0     1     0      1
#>  [39,]     0     0     0     0     1     0     1      0
#>  [40,]     0     1     0     1     1     0     1      1
#>  [41,]     0     0     1     0     0     1     0      0
#>  [42,]     0     0     1     1     1     0     1      0
#>  [43,]     1     1     1     0     0     0     0      1
#>  [44,]     1     1     0     1     1     0     1      1
#>  [45,]     0     0     0     1     1     1     1      0
#>  [46,]     0     1     0     1     1     1     1      0
#>  [47,]     0     0     0     0     1     1     1      0
#>  [48,]     1     1     0     0     1     0     1      1
#>  [49,]     1     1     1     1     0     0     0      1
#>  [50,]     0     0     1     0     1     0     0      1
#>  [51,]     1     0     1     1     1     0     1      0
#>  [52,]     1     1     1     0     0     0     0      1
#>  [53,]     0     0     0     0     0     1     0      1
#>  [54,]     1     1     1     1     1     1     0      0
#>  [55,]     1     1     1     1     0     0     1      1
#>  [56,]     1     1     1     0     1     1     1      0
#>  [57,]     1     1     1     0     1     0     1      1
#>  [58,]     1     0     0     1     0     1     1      1
#>  [59,]     1     0     0     1     1     1     1      1
#>  [60,]     1     1     0     1     0     0     0      1
#>  [61,]     0     1     0     1     0     1     0      1
#>  [62,]     0     1     1     0     1     0     1      0
#>  [63,]     1     0     0     0     0     0     1      0
#>  [64,]     0     0     0     0     0     0     1      0
#>  [65,]     0     0     0     0     0     0     0      0
#>  [66,]     1     1     1     0     0     0     0      1
#>  [67,]     0     1     1     1     1     1     0      1
#>  [68,]     1     0     0     1     1     1     1      1
#>  [69,]     0     0     0     0     0     0     1      0
#>  [70,]     1     1     1     0     1     1     0      0
#>  [71,]     1     0     0     0     0     1     1      0
#>  [72,]     0     0     0     0     1     1     1      0
#>  [73,]     1     0     1     1     0     1     0      0
#>  [74,]     1     0     1     0     1     1     1      0
#>  [75,]     1     1     0     0     1     1     1      1
#>  [76,]     1     1     0     0     0     1     0      0
#>  [77,]     1     1     1     1     0     0     1      1
#>  [78,]     0     0     0     1     1     1     1      1
#>  [79,]     1     0     1     0     0     1     0      0
#>  [80,]     1     1     0     1     1     1     1      0
#>  [81,]     0     1     0     1     1     1     0      0
#>  [82,]     0     1     1     1     0     1     0      1
#>  [83,]     0     1     1     1     0     1     0      1
#>  [84,]     0     0     0     1     0     1     0      0
#>  [85,]     0     1     0     1     0     0     1      1
#>  [86,]     0     0     0     1     1     1     1      1
#>  [87,]     1     0     0     1     0     0     0      1
#>  [88,]     1     1     0     0     1     1     1      1
#>  [89,]     0     1     1     0     1     0     0      1
#>  [90,]     0     0     0     1     1     0     0      1
#>  [91,]     0     0     1     0     0     1     0      1
#>  [92,]     1     0     0     1     0     0     1      0
#>  [93,]     0     1     0     0     0     1     1      0
#>  [94,]     1     0     1     1     1     0     1      1
#>  [95,]     0     1     0     0     1     0     1      0
#>  [96,]     0     1     0     0     1     0     1      0
#>  [97,]     0     1     1     1     0     0     0      1
#>  [98,]     1     0     0     0     0     0     1      1
#>  [99,]     1     1     1     1     0     1     0      0
#> [100,]     0     1     0     0     1     1     0      0

# uses function upper triangle of the matrix

# you could also sum the networks: so if 1 knows 2 and 2 knows 1 they get a '2' and then say all
# the 2's become 1's and all the 1's and 0's become 0's.

---

1.1.3 Chapter 2

Read Chapter 2 again: look at directional ties. Look at reciprocity. How do you measure it?

reciprocity of network: number of reciprocal relations divided by the number of possible reciprocal ties a possible reciprocal relationship is when at least one of the two people has a relationship with the other because then it is possible for it to become reciprocal.

val <- sample(x = 0:1, size = 4 * 4, replace = TRUE)

mat1 <- matrix(data = val, nrow = 4, ncol = 4)
diag(mat1) <- 0
mat1

#>      [,1] [,2] [,3] [,4]
#> [1,]    0    1    1    1
#> [2,]    1    0    0    1
#> [3,]    0    0    0    0
#> [4,]    1    1    0    0

# transpose: make another matrix in which the columns and rows are switched
mat2 <- t(mat1)

# then add the networks so if there are two 1's so they become 2
mat3 <- mat1 + mat2
mat3

#>      [,1] [,2] [,3] [,4]
#> [1,]    0    2    1    2
#> [2,]    2    0    0    2
#> [3,]    1    0    0    0
#> [4,]    2    2    0    0

sum(mat3[upper.tri(mat3)] == 2)

#> [1] 3

# then divide by the number of possible reciprocal ties in this case there are 4 potential numbers
# 1/4 = 0.25

---

You can describe networks by describing notes, the dyads, the egonets embedded in the network. And describing the network as a whole.

Multiplexity: the number of multiplex relationships/ possible number of multiplex relationships

Need to put the things that are in Chapter 2 in you theory section: show that you are familiar.

Reformulate the questions for next week and keep it simple.Try to understand networks.

---

1.1.4 Chapter 4

Find the number of complete triads (= difficult). The number of triads divided by the number of triads that could be closed.

set.seed(123643)

net1 <- matrix(sample(0:1, 16, replace = TRUE), nrow = 4, ncol = 4)
net_un <- net1 + t(net1)
net_un[net_un == 2] <- 1
diag(net_un) <- 0
net_un

#>      [,1] [,2] [,3] [,4]
#> [1,]    0    1    1    1
#> [2,]    1    0    1    0
#> [3,]    1    1    0    1
#> [4,]    1    0    1    0

# six closed ones: you count the closed ones three times, because there are three ways they could
# be 'unclosed' the unclosed ones: 2 6/2 = 3

netg <- graph_from_adjacency_matrix(net_un)
netg

#> IGRAPH 201bf5a D--- 4 10 -- 
#> + edges from 201bf5a:
#>  [1] 1->2 1->3 1->4 2->1 2->3 3->1 3->2 3->4 4->1 4->3

plot <- plot(netg)

igraph::transitivity(netg, type = "undirected")

#> [1] 0.75

For an egonet: You can count the number of triads in an egonetwerk: if there are none: the clustering = 0 if there is one out of three alters: the clustering = 1/3 High clustering (max = 1), can lead to higher stability of a network

# DYAD CENSUS!!!  find out how many dyads census are in our matrix we need a directed network
diag(net1) <- 0
library(igraph)
neth <- graph_from_adjacency_matrix(net1)
dyad_census(neth)

#> $mut
#> [1] 3
#> 
#> $asym
#> [1] 2
#> 
#> $null
#> [1] 1

plot1 <- plot(neth)

# mut\t = the number of pairs with mutual connections = 3 asym = The number of pairs with
# non-mutual connections = 2 null = the number of pairs with no connection between them = 1

# TRIAD CENSUS you get numbers for every kind of triangle (there are 16 kinds) ?triad_census
triad_census(neth)

#>  [1] 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0

# RECIPROCITY = reciprocated relations/ all possible reciprocated relations

net1transp <- net1 + t(net1)

numtwos <- sum(net1transp == 2)
numonetwos <- sum(net1transp == 1 | net1transp == 2)

reciprocity <- numtwos/numonetwos

reciprocity

#> [1] 0.6

---

1.1.5 Betweenness

How important certain actors are to get information across. You want to get information from actor A to actor B, and there are three shortest connections. For two of those connections C is necessary, you divided the amount of paths that go through C, by the total shortest paths: 2/3. It’s always only about the shortest paths. If there is a direct connection between A to B, then C is not important at all. You have to do it for all dyads in the network.

It is about 0/1 networks, not about weighted networks.

---

1.2 Homework

Workshop/Homework:

1. Update your research questions

2. Start writing your introduction in which you discuss your RQs, the relevance of a social network perspective

3. Find one or two relevant papers with respect to your research question and focus on the type of data they use.

4. Make a list of the type of data you will need (actor attributes, relational attributes, etc.) in order to answer your RQs from a social network perspective.

5. Update your lab journal / website

Also read chapter 2, 4, 6 (a little bit) and 8 ! Play around in OpenAlex

---

1.2.1 Wednesday 17 September

As I was unsure how to tackle the characterisation of the themes of articles, I decided to focus my research scope to the number of citations of articles.

A framing for the introduction: In academic research, researchers collaborate with each other, which not only combines expertise but also amplifies the reach and impact of scholarly work. This collaboration does not appear to be random: it is often shaped by homophily; the tendency to associate with others who are similar to oneself. In STEM fields, this tendency intersects with gender dynamics (Collins & Steffen-Fluhr, 2019). Men, who are often attributed higher status within academia, are more likely to co-author with other men. Women, on the other hand, defy the concept of homophily and are also more likely to co-author with men. This could be because men are attributed a higher status which makes it, in terms of impact, enticing to work together with men, or simply because there are simply more men within STEM. This raises a broader question: are such patterns unique to male-dominated disciplines, or do they persist even in fields where women are well-represented or hold the majority? The social sciences offer a compelling context to investigate these dynamics. Data allows us to research this within Dutch sociology and politicology departments.

RQ1: To what extent does gender homophily shape collaboration patterns among researchers in Dutch sociology and politicology departments?
The gender composition of research collaborations is an important factor shaping whose work gains recognition in academia. Recent studies show that collaboration patterns are not neutral but can significantly influence the visibility and impact of scholarly articles. Chatterjee and Werner (2021), for instance, analyzed 5,554 articles in leading medical journals and found that papers with women in either the first or senior author position received fewer citations than those with men in the same roles. The effect was even more pronounced when both positions were held by women, whose articles received roughly half as many citations as male-authored counterparts. These findings indicate that looking only at individual authors or single publications obscures the broader dynamics at play. Instead, examining the gender composition of entire author teams provides a more complete understanding of how impact is distributed across the academic landscape.

While this evidence comes from medicine, a STEM field with persistently low representation of women, similar dynamics have been observed in disciplines with higher female participation, such as the social sciences. Casad et al. (2022), for example, found that in US social sciences, papers with men as both first and last authors were over-cited, whereas those with at least one woman in a lead position were systematically under-cited. This suggests that gendered citation disparities are not confined to male-dominated disciplines but may be a broader feature of academic publishing. Building on this evidence, the second research question is:

RQ2: How do the gender composition of collaborations among researchers in Dutch sociology and politicology departments shape the impact of their scholarly work?

Casad, B. J., Garasky, C. E., Jancetic, T. R., Brown, A. K., Franks, J. E., & Bach, C. R. (2022). U.S. Women Faculty in the Social Sciences Also Face Gender Inequalities. Frontiers in Psychology, 13. https://doi.org/10.3389/fpsyg.2022.792756

Collins, R., & Steffen-Fluhr, N. (2019). Hidden patterns. Equality Diversity And Inclusion An International Journal, 38(2), 265–282. https://doi.org/10.1108/edi-09-2017-0183

Chatterjee, P., & Werner, R. M. (2021). Gender disparity in citations in High-Impact Journal articles. JAMA Network Open, 4(7), e2114509. https://doi.org/10.1001/jamanetworkopen.2021.14509

Disclaimer: Wu (2024) mentions how various research have shown minimum differences between an author’s gender the number of citations an article receives, he only finds that women have a lower total number of citations due to their differing career trajectories.

Wu, C. (2024). The gender citation gap: Approaches, explanations, and implications. Sociology Compass, 18(2). https://doi.org/10.1111/soc4.13189

---

I furthermore read the chapters 4, 6 and 8 as I already read chapter 2.

# CHAPTER 6

# start with clean workspace
rm(list = ls())
library(data.table)  # mainly for faster data handling
library(tidyverse)  # I assume you already installed this one!
require(xml2)
require(rvest)
require(devtools)
# Note we're doing something different here. We're installing a *latest* version directly from
# GitHub This is because the released version of this packages contains some errors!

require(scholar)

# Get anchor data
soc_staff <- read_html("https://web.archive.org/web/20230528153336/https://www.ru.nl/sociology/research/staff/")
head(soc_staff)

#> $node
#> <pointer: 0x10ffaaf10>
#> 
#> $doc
#> <pointer: 0x10ffaac80>

class(soc_staff)

#> [1] "xml_document" "xml_node"

# so we need to find WHERE the table is located in the html 'inspect element' in mozilla firefox or
# 'view page source' and you see that everything AFTER /td in the 'body' of the page seems to be
# the table we do need
soc_staff <- soc_staff %>%
    rvest::html_nodes("body") %>%
    xml2::xml_find_all("//td") %>%
    rvest::html_text()

soc_staff

#>   [1] "Staff:"                                                                                                                                                      
#>   [2] "Expertise:"                                                                                                                                                  
#>   [3] "Batenburg, prof. dr. R. (Ronald)"                                                                                                                            
#>   [4] "Healthcare, labour market and healthcare professions and training"                                                                                           
#>   [5] "Begall, dr. K.H. (Katia)"                                                                                                                                    
#>   [6] "Family, life course, labour market participation, division of household tasks and gender norms"                                                              
#>   [7] "Bekhuis, dr. H. (Hidde)"                                                                                                                                     
#>   [8] "Welfare state, nationalism and sports"                                                                                                                       
#>   [9] "Berg, dr. L. van den (Lonneke)"                                                                                                                              
#>  [10] "Family, life course and transition to adulthood"                                                                                                             
#>  [11] "Blommaert, dr. L. (Lieselotte)"                                                                                                                              
#>  [12] "Discrimination and inequality on the labour market"                                                                                                          
#>  [13] "Eisinga, prof. dr. R.N. (Rob)"                                                                                                                               
#>  [14] "Methods of research and statistics"                                                                                                                          
#>  [15] "Gesthuizen, dr. M.J.W. (Maurice)"                                                                                                                            
#>  [16] "\n                                Poverty en social cohesion\n                              "                                                                
#>  [17] "Geurts, dr. P.G. (Nella)"                                                                                                                                    
#>  [18] "\n                                Integration and migration\n                              "                                                                 
#>  [19] "Glas, dr. S. (Saskia)"                                                                                                                                       
#>  [20] "Islam, gender attitudes and sexuality"                                                                                                                       
#>  [21] "Hek, dr. M. van (Margriet)"                                                                                                                                  
#>  [22] "Educational inequality, gender inequality, organizational sociology and culture"                                                                             
#>  [23] "Hoekman, dr. R. H. A.(Remco)"                                                                                                                                
#>  [24] "Sports and policy sociology"                                                                                                                                 
#>  [25] "Hofstra, dr. B. (Bas)"                                                                                                                                       
#>  [26] "Diversity, inequality and innovation"                                                                                                                        
#>  [27] "Koops, dr. J. (Judith)"                                                                                                                                      
#>  [28] "Family sociology and demography"                                                                                                                             
#>  [29] "Kraaykamp, prof. dr. G.L.M. (Gerbert)"                                                                                                                       
#>  [30] "Educational inequality, culture and health"                                                                                                                  
#>  [31] "Meuleman, dr. (Roza)"                                                                                                                                        
#>  [32] "Culture and nationalism"                                                                                                                                     
#>  [33] "Savelkoul, dr. M.J. (Michael)"                                                                                                                               
#>  [34] "Ethnic diversity, prejudice and social cohesion"                                                                                                             
#>  [35] "Scheepers, prof. dr. P.L.H. (Peer)"                                                                                                                          
#>  [36] "Comparative research, social cohesion and diversity"                                                                                                         
#>  [37] "Spierings, dr. C.H.B.M. (Niels)"                                                                                                                             
#>  [38] "Islam, gender, populism, social media, Middle East and migration"                                                                                            
#>  [39] "Tolsma, dr. J. (Jochem)"                                                                                                                                     
#>  [40] "Inequality, criminology and ethnic diversity"                                                                                                                
#>  [41] "\n                                Verbakel, prof. dr. C.M.C. (Ellen)\n                                Head of the department\n                              "
#>  [42] "Health, family and work"                                                                                                                                     
#>  [43] "Visser, dr. M. (Mark)"                                                                                                                                       
#>  [44] "Older workers, radicalism and social cohesion"                                                                                                               
#>  [45] "Wolbers, prof. dr. M.H.J. (Maarten)"                                                                                                                         
#>  [46] "Educational inequality and labour market inequality"                                                                                                         
#>  [47] "PhD:"                                                                                                                                                        
#>  [48] "Expertise:"                                                                                                                                                  
#>  [49] "Bussemakers, C. (Carlijn) MSc"                                                                                                                               
#>  [50] "Adverse youth experiences and social inequality"                                                                                                             
#>  [51] "Franken, R. (Rob) MSc"                                                                                                                                       
#>  [52] "Sport networks and motivation for sustainable sports participation"                                                                                          
#>  [53] "Firat, M. (Mustafa) MSc"                                                                                                                                     
#>  [54] "Social inequality, older workers, life course and retirement"                                                                                                
#>  [55] "\n                                Güneyli, A. (Ayşegül)\n                              "                                                                     
#>  [56] "Work-care"                                                                                                                                                   
#>  [57] "Hendriks, I.P. (Inge) MSc"                                                                                                                                   
#>  [58] "Resistance to refugees and social cohesion"                                                                                                                  
#>  [59] "Jeroense, T.M.G. (Thijmen) MSc"                                                                                                                              
#>  [60] "Political participation, segregation, opinion polarization and voting behaviour"                                                                             
#>  [61] "Kollar, R. (Rachel)"                                                                                                                                         
#>  [62] "Spirit project"                                                                                                                                              
#>  [63] "Linders, N. (Nik) MSc"                                                                                                                                       
#>  [64] "Populism, gender, masculinity and sexuality"                                                                                                                 
#>  [65] "Loh, S.M. (Renae) MSc"                                                                                                                                       
#>  [66] "Educational sociology, social stratification, gender inequality and information communication technology (ICT)"                                              
#>  [67] "Meijeren, M. (Maikel) MSc"                                                                                                                                   
#>  [68] "Social capital, volunteer work and diversity"                                                                                                                
#>  [69] "Mensvoort, C.A. van (Carly) MSc"                                                                                                                             
#>  [70] "Gender, leadership and social norms"                                                                                                                         
#>  [71] "\n                                Mulders, A.M. (Anne Maaike) MSc\n                              "                                                           
#>  [72] "Social inequality in science"                                                                                                                                
#>  [73] "Müller, K. (Katrin) MSc"                                                                                                                                     
#>  [74] "Opinions about discrimination, migration and inequality"                                                                                                     
#>  [75] "Raiber, K. (Klara) MSc"                                                                                                                                      
#>  [76] "Informal care, employment, social inequality and gender"                                                                                                     
#>  [77] "Ramaekers, M.J.M. (Marlou) MSc"                                                                                                                              
#>  [78] "Prosocial behaviour and family"                                                                                                                              
#>  [79] "Wiertsema, S. (Sara) MSc"                                                                                                                                    
#>  [80] "Inequality in sports and physical activity, school-to-work transition and employment"                                                                        
#>  [81] "External PhD:"                                                                                                                                               
#>  [82] "Expertise:"                                                                                                                                                  
#>  [83] "Betkó, drs. J.G. (János)"                                                                                                                                    
#>  [84] "Social assistance benefit, poverty, reintegration, RCT and social experiment"                                                                                
#>  [85] "Middendorp J. (Jansje) van MSc"                                                                                                                              
#>  [86] "Home administration"                                                                                                                                         
#>  [87] "Vis, E. (Elize) MSc"                                                                                                                                         
#>  [88] "Healthcare, labour market, healthcare professions and training, health and social capital"                                                                   
#>  [89] "Weber, T. (Tijmen) MSc"                                                                                                                                      
#>  [90] "International student mobility and the internationalization of higher education"                                                                             
#>  [91] "Guest researchers:"                                                                                                                                          
#>  [92] "Expertise:"                                                                                                                                                  
#>  [93] "Khawli, E. el (Elissa) post-doc, Dr."                                                                                                                        
#>  [94] "Inequality in older age"                                                                                                                                     
#>  [95] "Sterkens, dr. C.J.A. (Carl)"                                                                                                                                 
#>  [96] "Religious conflicts, cohesion, religion and the philosophy of life"                                                                                          
#>  [97] "Vermeer, dr. P.A.D.M. (Paul)"                                                                                                                                
#>  [98] "Socialization processes, secularisation, religion and the philosophy of life"                                                                                
#>  [99] "Other researchers:"                                                                                                                                          
#> [100] "Expertise:"                                                                                                                                                  
#> [101] "Grubben, M. (Malou)"                                                                                                                                         
#> [102] "Inequality in sports and movement"