This function samples a simple Stochastic Block Models, with various model for the distribution of the edges: Bernoulli, Poisson, or Gaussian models, and possibly with covariates

sampleBipartiteSBM(
  nbNodes,
  blockProp,
  connectParam,
  model = "bernoulli",
  dimLabels = c(row = "row", col = "col"),
  covariates = list(),
  covariatesParam = numeric(0)
)

Arguments

nbNodes

number of nodes in the network

blockProp

parameters for block proportions: list of size two with row and column block proportions

connectParam

list of parameters for connectivity with a matrix of means 'mean' and an optional matrix of variances 'var', the sizes of which must match blockProp length (in row, respectively in column)

model

character describing the model for the relation between nodes ('bernoulli', 'poisson', 'gaussian', 'ZIgaussian'). Default is 'bernoulli'.

dimLabels

an optional list of labels for each dimension (in row, in column)

covariates

a list of matrices with same dimension as mat describing covariates at the edge level. No covariate per Default.

covariatesParam

optional vector of covariates effect. A zero length numeric vector by default.

Value

an object with class BipartiteSBM

Examples

### =======================================
### BIPARTITE BERNOULLI SBM
## Graph parameters
nbNodes <- c(100, 120)
blockProp <- list(c(.5, .5), c(1/3, 1/3, 1/3)) # group proportions
means <- matrix(runif(6), 2, 3)  # connectivity matrix
# In Bernoulli SBM, parameters is a list with
# a matrix of means 'mean' which are probabilities of connection
connectParam <- list(mean = means)

## Graph Sampling
dimLabels = c(row='Reader',col='Book')
mySampler <- sampleBipartiteSBM(nbNodes, blockProp, connectParam, model = 'bernoulli',dimLabels)
plot(mySampler)

plot(mySampler,type='meso',plotOptions = list(vertex.label.name=list(row='Reader',col='Book')))

plot(mySampler,type='meso',plotOptions = list(vertex.label.name=c('A','B'),vertex.size = 1.4))

mySampler$rMemberships() # sample new memberships
#> $Reader
#>        [,1] [,2]
#>   [1,]    1    0
#>   [2,]    0    1
#>   [3,]    1    0
#>   [4,]    1    0
#>   [5,]    0    1
#>   [6,]    1    0
#>   [7,]    0    1
#>   [8,]    0    1
#>   [9,]    1    0
#>  [10,]    1    0
#>  [11,]    1    0
#>  [12,]    0    1
#>  [13,]    1    0
#>  [14,]    0    1
#>  [15,]    0    1
#>  [16,]    0    1
#>  [17,]    1    0
#>  [18,]    0    1
#>  [19,]    1    0
#>  [20,]    0    1
#>  [21,]    0    1
#>  [22,]    0    1
#>  [23,]    0    1
#>  [24,]    1    0
#>  [25,]    1    0
#>  [26,]    1    0
#>  [27,]    0    1
#>  [28,]    0    1
#>  [29,]    0    1
#>  [30,]    0    1
#>  [31,]    1    0
#>  [32,]    0    1
#>  [33,]    0    1
#>  [34,]    0    1
#>  [35,]    1    0
#>  [36,]    0    1
#>  [37,]    1    0
#>  [38,]    0    1
#>  [39,]    1    0
#>  [40,]    0    1
#>  [41,]    1    0
#>  [42,]    1    0
#>  [43,]    0    1
#>  [44,]    0    1
#>  [45,]    1    0
#>  [46,]    1    0
#>  [47,]    0    1
#>  [48,]    0    1
#>  [49,]    0    1
#>  [50,]    0    1
#>  [51,]    0    1
#>  [52,]    0    1
#>  [53,]    1    0
#>  [54,]    0    1
#>  [55,]    0    1
#>  [56,]    1    0
#>  [57,]    1    0
#>  [58,]    0    1
#>  [59,]    1    0
#>  [60,]    1    0
#>  [61,]    0    1
#>  [62,]    0    1
#>  [63,]    1    0
#>  [64,]    1    0
#>  [65,]    1    0
#>  [66,]    1    0
#>  [67,]    1    0
#>  [68,]    1    0
#>  [69,]    1    0
#>  [70,]    1    0
#>  [71,]    0    1
#>  [72,]    0    1
#>  [73,]    1    0
#>  [74,]    1    0
#>  [75,]    1    0
#>  [76,]    0    1
#>  [77,]    0    1
#>  [78,]    1    0
#>  [79,]    0    1
#>  [80,]    1    0
#>  [81,]    0    1
#>  [82,]    0    1
#>  [83,]    1    0
#>  [84,]    0    1
#>  [85,]    1    0
#>  [86,]    1    0
#>  [87,]    0    1
#>  [88,]    1    0
#>  [89,]    1    0
#>  [90,]    1    0
#>  [91,]    1    0
#>  [92,]    0    1
#>  [93,]    1    0
#>  [94,]    1    0
#>  [95,]    0    1
#>  [96,]    0    1
#>  [97,]    1    0
#>  [98,]    1    0
#>  [99,]    0    1
#> [100,]    0    1
#> 
#> $Book
#>        [,1] [,2] [,3]
#>   [1,]    0    0    1
#>   [2,]    0    1    0
#>   [3,]    0    0    1
#>   [4,]    0    1    0
#>   [5,]    1    0    0
#>   [6,]    0    0    1
#>   [7,]    0    0    1
#>   [8,]    0    0    1
#>   [9,]    0    0    1
#>  [10,]    0    1    0
#>  [11,]    0    1    0
#>  [12,]    0    0    1
#>  [13,]    1    0    0
#>  [14,]    0    1    0
#>  [15,]    0    0    1
#>  [16,]    0    0    1
#>  [17,]    0    1    0
#>  [18,]    0    1    0
#>  [19,]    0    0    1
#>  [20,]    1    0    0
#>  [21,]    0    0    1
#>  [22,]    0    0    1
#>  [23,]    0    0    1
#>  [24,]    0    1    0
#>  [25,]    0    0    1
#>  [26,]    0    1    0
#>  [27,]    0    1    0
#>  [28,]    1    0    0
#>  [29,]    0    1    0
#>  [30,]    0    1    0
#>  [31,]    0    1    0
#>  [32,]    0    0    1
#>  [33,]    0    0    1
#>  [34,]    0    1    0
#>  [35,]    0    1    0
#>  [36,]    0    0    1
#>  [37,]    0    1    0
#>  [38,]    0    0    1
#>  [39,]    0    0    1
#>  [40,]    1    0    0
#>  [41,]    0    1    0
#>  [42,]    0    0    1
#>  [43,]    0    0    1
#>  [44,]    0    0    1
#>  [45,]    0    0    1
#>  [46,]    0    0    1
#>  [47,]    1    0    0
#>  [48,]    1    0    0
#>  [49,]    0    1    0
#>  [50,]    0    0    1
#>  [51,]    1    0    0
#>  [52,]    1    0    0
#>  [53,]    0    0    1
#>  [54,]    0    0    1
#>  [55,]    0    1    0
#>  [56,]    1    0    0
#>  [57,]    1    0    0
#>  [58,]    0    1    0
#>  [59,]    1    0    0
#>  [60,]    0    1    0
#>  [61,]    0    0    1
#>  [62,]    0    1    0
#>  [63,]    1    0    0
#>  [64,]    0    0    1
#>  [65,]    0    0    1
#>  [66,]    1    0    0
#>  [67,]    0    1    0
#>  [68,]    0    0    1
#>  [69,]    0    0    1
#>  [70,]    0    0    1
#>  [71,]    0    1    0
#>  [72,]    0    1    0
#>  [73,]    0    1    0
#>  [74,]    0    1    0
#>  [75,]    1    0    0
#>  [76,]    0    0    1
#>  [77,]    0    0    1
#>  [78,]    0    0    1
#>  [79,]    0    1    0
#>  [80,]    1    0    0
#>  [81,]    0    0    1
#>  [82,]    1    0    0
#>  [83,]    0    0    1
#>  [84,]    0    0    1
#>  [85,]    0    1    0
#>  [86,]    0    1    0
#>  [87,]    0    0    1
#>  [88,]    1    0    0
#>  [89,]    1    0    0
#>  [90,]    0    0    1
#>  [91,]    0    1    0
#>  [92,]    1    0    0
#>  [93,]    0    1    0
#>  [94,]    0    1    0
#>  [95,]    1    0    0
#>  [96,]    0    0    1
#>  [97,]    0    0    1
#>  [98,]    0    1    0
#>  [99,]    0    1    0
#> [100,]    0    1    0
#> [101,]    1    0    0
#> [102,]    0    1    0
#> [103,]    0    0    1
#> [104,]    1    0    0
#> [105,]    0    1    0
#> [106,]    0    1    0
#> [107,]    1    0    0
#> [108,]    1    0    0
#> [109,]    0    1    0
#> [110,]    1    0    0
#> [111,]    0    1    0
#> [112,]    0    0    1
#> [113,]    0    0    1
#> [114,]    1    0    0
#> [115,]    0    1    0
#> [116,]    1    0    0
#> [117,]    0    1    0
#> [118,]    1    0    0
#> [119,]    1    0    0
#> [120,]    0    0    1
#> 
mySampler$rEdges()   # sample new edges
#>        [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>   [1,]    0    0    1    1    0    1    0    0    0     0     1     0     1
#>   [2,]    1    1    1    1    0    1    1    0    1     0     1     1     1
#>   [3,]    1    1    1    1    1    1    1    1    1     0     1     1     1
#>   [4,]    1    1    0    1    0    1    1    0    0     0     1     0     1
#>   [5,]    1    1    1    1    0    0    0    0    0     0     1     0     1
#>   [6,]    1    1    1    1    1    1    0    1    0     1     1     0     1
#>   [7,]    1    1    1    1    1    1    1    0    0     0     1     0     1
#>   [8,]    1    0    1    0    0    1    1    0    0     0     1     0     1
#>   [9,]    0    1    0    1    0    1    1    0    0     1     1     1     1
#>  [10,]    0    1    0    1    0    1    0    0    0     0     0     0     1
#>  [11,]    1    1    1    1    1    1    1    1    0     0     1     0     1
#>  [12,]    1    1    1    1    1    1    1    1    0     0     1     0     1
#>  [13,]    1    1    1    1    1    1    1    0    0     0     1     1     1
#>  [14,]    1    1    1    1    0    1    0    0    1     0     1     0     0
#>  [15,]    0    1    1    0    0    1    0    0    0     0     1     0     1
#>  [16,]    0    1    1    1    0    1    0    1    1     1     1     0     1
#>  [17,]    1    1    1    0    0    1    0    0    1     0     1     1     1
#>  [18,]    1    1    1    1    0    1    0    0    0     0     1     0     1
#>  [19,]    1    1    0    1    0    1    1    0    0     0     1     0     0
#>  [20,]    1    1    1    1    0    1    0    0    0     0     0     0     1
#>  [21,]    1    1    1    1    0    1    1    0    1     0     0     1     1
#>  [22,]    1    1    1    1    0    1    1    1    0     0     1     0     1
#>  [23,]    1    1    1    0    1    1    1    0    1     0     1     0     1
#>  [24,]    1    0    1    1    0    0    0    0    0     0     1     0     0
#>  [25,]    1    1    1    1    0    1    0    1    0     0     1     0     1
#>  [26,]    1    1    1    1    1    1    0    0    0     1     1     0     1
#>  [27,]    1    1    1    1    0    1    0    0    1     1     1     1     1
#>  [28,]    1    1    1    0    0    1    1    1    0     0     1     0     1
#>  [29,]    1    1    1    0    0    1    0    0    0     1     1     1     0
#>  [30,]    1    1    1    1    0    1    0    0    0     0     1     0     1
#>  [31,]    0    1    0    1    0    1    0    0    0     0     1     0     1
#>  [32,]    1    1    1    1    1    1    1    1    0     0     1     1     1
#>  [33,]    0    1    0    1    0    1    1    0    0     0     0     1     1
#>  [34,]    1    1    1    1    0    1    0    0    1     0     1     0     1
#>  [35,]    1    0    1    1    0    1    1    1    0     0     1     0     1
#>  [36,]    1    1    1    1    0    1    0    1    0     0     0     0     1
#>  [37,]    1    1    1    1    0    1    1    0    0     1     1     1     1
#>  [38,]    1    1    1    1    0    0    0    1    0     0     1     0     1
#>  [39,]    1    1    1    1    0    1    0    0    0     0     1     0     1
#>  [40,]    1    1    1    0    1    1    0    1    0     0     1     0     1
#>  [41,]    1    1    1    1    1    1    0    0    0     0     1     0     0
#>  [42,]    1    1    1    1    1    1    0    0    0     0     1     1     1
#>  [43,]    1    1    1    1    0    1    0    0    0     1     1     0     0
#>  [44,]    0    1    1    1    0    1    0    1    1     1     1     1     0
#>  [45,]    1    1    1    0    0    1    0    0    1     0     1     0     1
#>  [46,]    1    1    1    1    0    1    1    0    0     1     1     1     1
#>  [47,]    1    1    1    1    1    1    1    0    1     0     1     0     1
#>  [48,]    1    1    1    1    1    1    1    0    1     0     1     0     1
#>  [49,]    0    1    1    1    0    0    1    1    0     0     1     0     1
#>  [50,]    1    1    1    1    1    1    1    0    1     0     1     0     1
#>  [51,]    1    1    1    1    0    1    0    1    0     0     1     0     1
#>  [52,]    0    1    1    1    0    1    0    0    0     1     1     0     1
#>  [53,]    1    1    1    1    0    1    1    0    0     1     1     0     1
#>  [54,]    1    1    1    1    1    1    0    0    0     0     1     0     1
#>  [55,]    1    1    1    1    1    1    0    0    1     0     1     0     1
#>  [56,]    1    1    1    1    1    1    0    0    1     1     1     0     1
#>  [57,]    1    0    1    1    1    1    0    1    1     0     1     1     1
#>  [58,]    1    1    1    1    0    1    1    0    0     1     1     0     1
#>  [59,]    1    1    1    1    0    1    0    1    0     0     1     0     1
#>  [60,]    1    1    1    1    0    1    1    0    1     0     1     0     1
#>  [61,]    1    1    1    1    0    1    0    0    1     0     1     1     1
#>  [62,]    1    1    0    1    0    1    1    0    0     1     1     1     1
#>  [63,]    1    1    1    1    1    1    0    0    1     0     1     0     1
#>  [64,]    1    0    1    0    1    1    0    0    0     1     1     0     0
#>  [65,]    1    1    1    1    1    0    1    1    1     0     1     0     1
#>  [66,]    1    1    1    1    1    1    1    0    0     1     0     0     1
#>  [67,]    1    1    1    1    0    1    0    0    0     1     0     0     1
#>  [68,]    1    1    0    1    0    0    0    1    0     1     1     0     1
#>  [69,]    1    1    1    0    1    1    0    1    0     1     1     0     1
#>  [70,]    1    1    1    1    1    1    0    0    1     0     1     0     1
#>  [71,]    1    1    1    1    0    1    1    0    0     0     1     0     1
#>  [72,]    0    1    1    1    0    0    0    0    0     0     1     1     1
#>  [73,]    1    1    1    1    0    1    0    0    0     1     1     1     1
#>  [74,]    1    1    1    1    0    1    0    0    0     0     1     1     1
#>  [75,]    1    1    1    1    0    1    0    1    0     0     0     0     0
#>  [76,]    1    1    1    1    1    1    0    0    0     0     0     0     1
#>  [77,]    1    1    1    1    1    1    1    1    1     0     1     0     1
#>  [78,]    1    1    1    1    0    1    0    0    1     1     1     0     1
#>  [79,]    1    1    1    0    1    1    0    0    0     1     0     0     1
#>  [80,]    0    1    0    0    0    1    0    0    0     1     1     0     1
#>  [81,]    1    1    1    1    0    1    1    1    1     1     1     1     1
#>  [82,]    1    1    1    1    0    1    1    0    0     1     1     0     1
#>  [83,]    1    1    1    0    0    1    0    0    1     0     1     0     1
#>  [84,]    1    0    1    1    0    1    1    0    0     1     1     0     1
#>  [85,]    1    1    1    1    0    1    0    1    0     1     1     0     1
#>  [86,]    1    0    1    1    0    1    1    1    0     1     1     0     1
#>  [87,]    1    1    1    1    1    1    0    1    0     0     1     0     1
#>  [88,]    0    1    1    1    0    1    0    1    1     0     1     1     1
#>  [89,]    1    1    1    1    1    1    0    0    0     1     0     1     1
#>  [90,]    1    1    1    1    0    1    1    1    0     0     1     0     1
#>  [91,]    1    1    1    1    1    0    0    1    1     0     1     1     1
#>  [92,]    1    0    0    0    1    1    1    0    0     0     1     1     1
#>  [93,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [94,]    1    1    1    1    0    1    0    0    0     0     1     0     1
#>  [95,]    1    1    1    1    1    1    0    1    0     1     1     1     1
#>  [96,]    1    1    1    1    1    1    0    0    0     1     0     1     1
#>  [97,]    1    1    1    1    0    0    0    0    0     0     1     1     1
#>  [98,]    1    0    1    1    1    1    1    1    0     0     1     1     1
#>  [99,]    1    1    0    1    0    1    0    0    1     0     1     1     0
#> [100,]    1    1    1    1    0    1    1    0    1     0     1     0     1
#>        [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>   [1,]     0     1     1     1     1     1     1     0     1     0     1     1
#>   [2,]     1     1     1     1     0     1     0     1     1     0     0     1
#>   [3,]     1     1     1     1     1     0     1     1     1     0     0     1
#>   [4,]     0     1     1     1     1     1     0     1     1     0     1     1
#>   [5,]     0     0     1     1     0     0     1     1     1     0     1     0
#>   [6,]     0     1     1     1     1     1     0     1     1     0     1     1
#>   [7,]     0     1     1     0     0     0     0     0     1     0     1     1
#>   [8,]     0     0     1     1     1     0     0     1     1     0     1     1
#>   [9,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [10,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [11,]     0     1     1     1     0     0     0     1     1     1     1     1
#>  [12,]     0     1     1     0     0     0     0     1     1     0     1     1
#>  [13,]     0     1     1     1     0     0     1     1     1     1     1     1
#>  [14,]     0     1     1     0     1     0     0     1     1     0     1     1
#>  [15,]     0     1     1     0     0     1     1     1     1     0     1     1
#>  [16,]     1     1     1     1     1     0     1     1     0     0     1     1
#>  [17,]     0     1     1     1     1     0     1     1     0     0     1     1
#>  [18,]     0     1     1     0     0     0     0     1     1     0     1     1
#>  [19,]     0     1     1     1     0     0     1     1     1     0     1     1
#>  [20,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [21,]     1     1     1     1     0     0     0     1     1     0     1     1
#>  [22,]     0     1     1     1     0     0     1     0     1     1     1     1
#>  [23,]     1     1     1     0     0     0     0     1     1     0     0     1
#>  [24,]     1     1     1     0     0     0     0     1     1     0     1     1
#>  [25,]     0     1     0     1     0     0     1     1     1     0     0     1
#>  [26,]     1     1     1     1     0     1     1     1     1     0     1     1
#>  [27,]     1     1     1     1     0     1     1     1     1     1     1     1
#>  [28,]     0     1     1     1     1     0     0     1     1     0     1     1
#>  [29,]     0     1     1     1     1     0     0     1     1     0     1     1
#>  [30,]     0     0     1     1     0     0     0     1     1     1     0     1
#>  [31,]     0     0     1     1     0     1     0     1     1     1     1     1
#>  [32,]     0     0     1     1     1     1     1     1     1     0     1     0
#>  [33,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [34,]     0     1     1     1     1     0     0     1     1     1     0     1
#>  [35,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [36,]     0     1     1     1     0     0     1     1     0     0     1     1
#>  [37,]     0     1     1     1     1     0     1     1     1     0     1     1
#>  [38,]     0     1     1     0     0     0     0     1     1     1     1     1
#>  [39,]     1     1     1     0     1     0     1     1     1     0     0     0
#>  [40,]     0     1     1     0     1     1     1     1     1     1     1     1
#>  [41,]     0     1     1     1     0     1     1     1     1     0     1     1
#>  [42,]     1     1     1     1     0     0     0     0     1     0     1     0
#>  [43,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [44,]     1     1     1     1     1     1     0     1     1     0     1     1
#>  [45,]     1     0     1     1     0     1     0     1     0     1     0     1
#>  [46,]     0     1     1     1     0     1     0     1     0     0     1     1
#>  [47,]     0     1     0     1     0     1     1     0     1     0     1     1
#>  [48,]     0     1     0     1     0     0     1     1     1     0     1     1
#>  [49,]     1     0     1     1     1     0     0     1     1     0     0     1
#>  [50,]     1     1     1     0     1     1     0     1     1     1     0     1
#>  [51,]     1     1     1     1     0     0     0     1     1     0     1     1
#>  [52,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [53,]     1     1     1     1     1     1     1     1     1     0     1     1
#>  [54,]     1     1     0     0     0     0     0     0     1     1     1     1
#>  [55,]     1     1     1     1     0     0     0     1     1     0     1     1
#>  [56,]     0     1     1     1     0     1     1     1     1     0     1     1
#>  [57,]     1     1     1     1     0     1     1     1     1     0     1     1
#>  [58,]     0     1     1     1     0     0     1     1     1     0     1     1
#>  [59,]     0     1     1     1     0     1     0     1     1     0     1     1
#>  [60,]     0     1     1     1     1     0     0     1     1     0     1     1
#>  [61,]     1     0     1     1     0     0     0     1     1     1     1     1
#>  [62,]     1     1     1     1     0     0     1     1     1     0     1     1
#>  [63,]     0     1     0     1     0     1     1     1     1     0     1     1
#>  [64,]     1     1     1     1     0     0     1     0     1     0     1     1
#>  [65,]     0     1     1     1     1     0     0     1     1     0     1     0
#>  [66,]     0     1     1     1     1     0     1     1     1     0     1     1
#>  [67,]     1     1     1     1     0     0     0     1     1     0     1     1
#>  [68,]     0     1     1     1     0     0     1     1     1     0     1     1
#>  [69,]     1     1     1     1     0     0     0     1     1     1     1     1
#>  [70,]     0     1     1     1     1     1     1     1     1     0     1     1
#>  [71,]     1     1     1     1     0     0     0     1     1     0     1     1
#>  [72,]     0     0     0     1     1     0     0     1     1     0     1     1
#>  [73,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [74,]     0     1     1     0     0     0     0     1     1     0     1     1
#>  [75,]     0     1     0     1     0     0     1     0     1     0     1     1
#>  [76,]     1     1     1     1     0     1     0     1     1     1     1     1
#>  [77,]     0     1     1     1     1     0     1     1     1     1     1     1
#>  [78,]     1     1     1     0     1     1     0     1     1     0     1     1
#>  [79,]     1     1     1     1     1     0     0     0     1     1     1     1
#>  [80,]     0     1     0     1     0     0     0     1     1     0     1     1
#>  [81,]     0     1     1     1     0     0     1     1     1     1     1     1
#>  [82,]     0     1     1     1     0     0     0     1     1     1     1     1
#>  [83,]     0     1     1     0     0     0     0     1     1     0     1     1
#>  [84,]     1     1     1     1     0     0     0     1     0     1     1     1
#>  [85,]     1     1     1     1     1     1     1     1     1     1     0     1
#>  [86,]     0     1     1     1     1     0     1     1     1     1     1     1
#>  [87,]     1     1     1     1     0     0     0     1     1     1     1     1
#>  [88,]     1     0     1     1     0     0     1     0     0     0     1     1
#>  [89,]     0     0     1     1     0     0     0     1     1     1     0     1
#>  [90,]     0     1     1     1     1     1     1     1     1     1     1     1
#>  [91,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [92,]     0     1     1     1     0     0     0     1     1     1     1     1
#>  [93,]     1     1     1     1     1     0     0     1     0     1     1     1
#>  [94,]     1     1     1     1     0     0     0     1     1     1     1     0
#>  [95,]     0     1     1     0     0     1     1     0     1     0     1     1
#>  [96,]     1     0     1     1     1     0     0     1     1     0     1     1
#>  [97,]     0     1     1     1     1     0     1     0     0     0     1     1
#>  [98,]     1     1     1     1     1     0     0     1     1     0     1     1
#>  [99,]     0     1     0     1     0     0     1     1     1     0     1     1
#> [100,]     1     1     1     1     0     0     0     1     0     0     1     1
#>        [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>   [1,]     1     1     0     1     1     0     0     0     1     1     1     0
#>   [2,]     0     1     1     1     1     1     0     0     1     1     1     0
#>   [3,]     0     0     0     0     1     0     1     1     1     1     1     1
#>   [4,]     0     0     0     1     1     0     0     0     1     1     1     0
#>   [5,]     1     0     0     1     1     0     1     0     1     1     1     1
#>   [6,]     0     1     0     1     1     0     0     0     1     1     1     0
#>   [7,]     0     0     0     1     1     0     1     0     1     1     1     0
#>   [8,]     0     1     0     1     1     1     0     1     1     1     1     0
#>   [9,]     0     0     0     1     1     1     1     0     1     1     1     0
#>  [10,]     0     0     0     1     1     0     0     0     1     1     1     0
#>  [11,]     0     0     1     1     1     0     1     1     1     1     1     0
#>  [12,]     0     1     1     1     1     1     0     1     1     1     1     1
#>  [13,]     0     0     0     1     1     0     1     1     1     1     0     1
#>  [14,]     0     0     0     1     1     0     0     1     1     0     1     0
#>  [15,]     1     1     0     1     1     0     0     0     1     1     1     0
#>  [16,]     0     1     1     1     0     1     1     0     0     1     0     1
#>  [17,]     0     0     1     1     1     1     0     0     1     1     1     0
#>  [18,]     0     1     0     1     1     0     0     0     1     0     1     0
#>  [19,]     0     0     0     1     1     0     0     1     1     1     0     1
#>  [20,]     1     1     0     0     1     0     0     1     1     1     1     0
#>  [21,]     1     0     0     1     1     1     0     1     1     1     1     1
#>  [22,]     1     0     0     1     1     1     1     0     1     1     1     0
#>  [23,]     0     0     1     1     1     0     1     1     1     0     1     1
#>  [24,]     1     0     1     1     1     0     1     1     1     0     1     1
#>  [25,]     0     0     0     1     1     0     0     0     0     0     0     0
#>  [26,]     1     1     1     1     1     0     0     1     1     1     1     1
#>  [27,]     0     1     1     1     1     1     0     0     1     1     1     1
#>  [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [29,]     1     0     0     1     1     1     0     1     1     1     1     0
#>  [30,]     0     0     0     1     1     0     0     0     1     0     1     0
#>  [31,]     0     1     0     1     1     0     0     0     1     1     1     0
#>  [32,]     0     1     0     1     1     0     0     1     1     1     1     1
#>  [33,]     0     0     0     1     1     1     0     1     1     1     1     0
#>  [34,]     0     1     0     1     1     0     1     1     1     1     0     0
#>  [35,]     1     1     0     1     1     0     0     0     1     1     1     0
#>  [36,]     1     0     0     1     1     0     0     0     1     1     1     1
#>  [37,]     0     1     1     1     1     1     0     1     1     1     1     0
#>  [38,]     0     0     0     1     1     0     1     0     1     1     1     1
#>  [39,]     0     1     1     1     1     0     0     0     1     1     1     0
#>  [40,]     0     1     0     0     1     0     0     0     1     1     1     0
#>  [41,]     1     0     1     1     1     1     0     0     1     1     1     0
#>  [42,]     0     0     0     1     1     0     0     0     1     1     1     0
#>  [43,]     0     0     0     1     1     1     0     0     0     1     0     0
#>  [44,]     1     0     0     1     1     1     0     0     1     1     1     0
#>  [45,]     0     0     0     1     1     0     1     0     1     1     1     0
#>  [46,]     1     1     0     1     1     0     1     0     0     1     0     1
#>  [47,]     0     0     0     1     1     0     0     1     1     1     1     0
#>  [48,]     0     0     1     1     1     1     0     1     1     1     1     0
#>  [49,]     0     0     0     1     1     0     0     0     1     1     1     0
#>  [50,]     0     1     0     0     1     1     0     1     1     1     1     0
#>  [51,]     1     1     1     1     1     1     1     1     1     1     1     0
#>  [52,]     0     1     0     1     1     0     0     0     1     1     1     0
#>  [53,]     0     0     1     1     1     0     1     1     1     1     1     0
#>  [54,]     0     0     0     1     1     0     1     0     1     1     1     0
#>  [55,]     0     0     1     0     1     1     0     1     0     1     1     1
#>  [56,]     0     0     1     1     1     0     1     0     1     1     1     0
#>  [57,]     0     1     1     1     1     1     0     0     1     1     1     0
#>  [58,]     0     0     0     1     1     0     1     0     1     1     1     0
#>  [59,]     1     0     0     0     1     0     0     0     1     1     1     1
#>  [60,]     0     1     1     1     1     1     1     1     1     1     1     0
#>  [61,]     1     0     1     1     1     1     0     0     1     1     1     0
#>  [62,]     1     1     1     1     1     1     1     0     1     0     1     0
#>  [63,]     0     1     0     1     0     0     0     0     1     1     1     0
#>  [64,]     0     1     0     1     1     1     0     0     1     1     1     0
#>  [65,]     1     0     0     1     1     0     0     1     0     1     1     0
#>  [66,]     0     0     0     1     1     0     0     1     1     1     0     0
#>  [67,]     0     1     0     1     1     0     0     0     1     1     1     0
#>  [68,]     1     0     0     1     1     1     0     1     0     1     0     1
#>  [69,]     0     0     0     1     1     0     0     0     1     1     1     1
#>  [70,]     0     0     0     1     1     1     0     0     1     1     0     0
#>  [71,]     0     0     0     1     1     0     0     1     1     1     1     1
#>  [72,]     1     0     0     1     1     0     1     0     0     0     1     0
#>  [73,]     0     0     0     1     1     0     0     0     0     1     0     0
#>  [74,]     1     0     1     1     1     1     0     1     0     1     1     0
#>  [75,]     0     0     0     0     1     0     0     0     0     1     1     1
#>  [76,]     0     0     0     1     1     0     0     0     1     1     1     0
#>  [77,]     0     1     1     1     1     1     1     1     1     1     1     0
#>  [78,]     0     0     0     1     0     0     0     1     1     1     1     0
#>  [79,]     1     0     1     1     1     0     0     0     1     1     1     0
#>  [80,]     0     0     0     1     1     0     0     1     1     1     1     0
#>  [81,]     0     0     1     1     1     1     0     1     1     1     1     1
#>  [82,]     0     0     0     1     1     0     1     0     1     1     1     1
#>  [83,]     0     0     0     0     0     0     1     1     1     1     1     0
#>  [84,]     0     0     0     1     0     0     0     0     1     1     1     0
#>  [85,]     0     1     0     1     1     1     1     0     1     1     1     0
#>  [86,]     1     0     1     1     1     0     0     1     1     1     1     0
#>  [87,]     0     1     0     1     1     1     0     0     1     1     1     0
#>  [88,]     1     1     0     1     0     1     1     1     1     0     1     0
#>  [89,]     0     0     1     1     1     0     0     0     1     1     1     0
#>  [90,]     0     0     0     1     1     0     0     0     1     1     1     0
#>  [91,]     0     1     1     1     1     1     1     1     1     1     1     0
#>  [92,]     1     0     0     1     1     0     1     0     1     1     1     0
#>  [93,]     0     1     0     1     1     1     0     1     1     1     1     1
#>  [94,]     0     0     0     1     1     1     1     0     1     1     0     1
#>  [95,]     0     1     1     1     1     0     0     0     1     1     1     1
#>  [96,]     1     0     0     1     0     0     0     0     1     1     1     0
#>  [97,]     0     0     0     0     1     0     0     0     1     1     1     1
#>  [98,]     0     1     1     1     1     0     0     0     1     1     1     1
#>  [99,]     0     1     0     1     1     1     0     0     1     1     1     0
#> [100,]     1     1     0     1     1     0     1     0     0     1     0     1
#>        [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>   [1,]     0     0     0     0     0     0     0     1     0     0     1     1
#>   [2,]     0     0     0     0     1     1     0     0     0     1     1     1
#>   [3,]     1     0     1     0     1     0     1     0     1     1     1     1
#>   [4,]     0     0     0     0     0     0     1     0     0     0     1     1
#>   [5,]     1     0     0     0     0     0     1     0     0     1     1     1
#>   [6,]     0     0     1     0     0     1     1     1     0     0     1     0
#>   [7,]     0     0     0     1     1     0     0     0     1     0     1     1
#>   [8,]     0     1     1     1     1     0     1     0     1     0     1     1
#>   [9,]     0     0     0     0     0     1     0     0     1     0     1     1
#>  [10,]     0     0     0     0     0     0     0     0     1     0     1     1
#>  [11,]     1     0     1     1     0     0     0     0     1     0     1     1
#>  [12,]     0     1     1     1     1     1     0     1     1     1     1     1
#>  [13,]     0     0     0     0     1     0     1     0     0     1     1     1
#>  [14,]     1     1     0     0     1     0     0     1     1     0     1     1
#>  [15,]     0     0     0     0     0     1     0     0     1     0     1     1
#>  [16,]     0     1     0     0     0     1     1     0     0     0     1     1
#>  [17,]     0     0     1     1     0     0     0     1     1     0     1     1
#>  [18,]     0     0     0     0     0     0     0     0     0     0     1     1
#>  [19,]     1     0     0     0     0     0     0     0     0     1     1     1
#>  [20,]     0     0     0     0     0     0     0     0     1     0     1     1
#>  [21,]     0     1     0     0     1     0     0     0     1     1     1     1
#>  [22,]     0     0     0     0     0     0     0     0     0     0     0     1
#>  [23,]     1     1     0     0     0     1     0     1     1     1     0     1
#>  [24,]     1     0     1     0     1     0     1     1     1     1     1     1
#>  [25,]     1     0     0     0     0     0     0     0     0     0     0     1
#>  [26,]     0     1     0     0     0     0     0     0     0     0     1     1
#>  [27,]     1     0     1     1     1     0     0     1     1     1     0     1
#>  [28,]     1     1     1     1     1     0     0     1     0     0     1     1
#>  [29,]     1     0     1     0     1     1     0     0     1     1     0     1
#>  [30,]     0     0     0     0     0     0     0     0     0     1     1     1
#>  [31,]     0     0     0     0     1     0     0     0     0     1     1     1
#>  [32,]     0     0     0     0     1     1     1     0     0     0     1     1
#>  [33,]     0     0     1     1     0     1     0     1     0     0     1     1
#>  [34,]     0     1     1     0     0     1     1     0     0     0     1     1
#>  [35,]     0     0     0     0     0     0     0     0     0     0     1     1
#>  [36,]     1     0     1     0     0     0     0     1     1     0     1     1
#>  [37,]     0     1     0     0     1     1     0     0     0     0     1     0
#>  [38,]     0     0     0     0     0     0     0     1     0     1     0     1
#>  [39,]     1     0     0     1     0     0     0     0     0     0     1     0
#>  [40,]     0     0     0     1     0     1     0     0     0     0     0     1
#>  [41,]     1     0     0     0     1     0     0     0     0     0     1     1
#>  [42,]     0     1     0     1     0     0     1     0     0     1     1     1
#>  [43,]     0     0     0     0     1     0     1     1     1     0     0     0
#>  [44,]     0     1     0     1     1     1     0     0     0     0     1     1
#>  [45,]     1     0     0     0     0     0     1     0     0     0     1     1
#>  [46,]     0     0     0     0     0     0     0     0     0     0     1     1
#>  [47,]     0     0     1     0     1     1     0     1     0     0     1     1
#>  [48,]     0     0     1     0     0     1     0     0     0     1     1     1
#>  [49,]     0     0     0     1     0     0     0     0     0     0     0     1
#>  [50,]     1     0     0     0     1     0     1     0     0     0     1     1
#>  [51,]     1     0     1     0     0     0     1     0     1     0     1     1
#>  [52,]     0     1     0     0     1     0     0     0     0     1     1     0
#>  [53,]     0     0     1     1     0     0     0     0     0     0     1     1
#>  [54,]     0     0     0     1     0     0     1     0     1     0     1     1
#>  [55,]     1     1     1     0     0     0     0     0     0     0     1     1
#>  [56,]     1     0     0     0     0     1     0     0     1     1     1     1
#>  [57,]     1     0     0     0     1     1     0     1     1     1     1     1
#>  [58,]     0     0     0     0     0     0     0     0     0     0     1     1
#>  [59,]     1     0     0     0     0     1     0     0     0     0     1     1
#>  [60,]     1     1     0     1     0     0     1     1     0     0     1     1
#>  [61,]     1     1     0     1     1     0     0     0     0     0     1     1
#>  [62,]     0     1     0     0     1     0     0     0     0     0     1     1
#>  [63,]     1     0     0     1     0     0     0     0     0     0     1     1
#>  [64,]     1     1     0     0     1     0     1     0     0     0     1     1
#>  [65,]     0     1     1     1     1     1     0     0     0     0     1     1
#>  [66,]     0     0     0     1     0     1     0     0     1     0     1     1
#>  [67,]     0     0     0     1     0     0     0     0     0     1     1     1
#>  [68,]     0     1     0     0     1     0     0     0     0     0     1     1
#>  [69,]     1     0     1     1     0     0     0     1     1     0     0     1
#>  [70,]     0     1     1     1     0     0     0     0     0     0     1     1
#>  [71,]     0     0     0     1     0     0     1     0     0     1     1     1
#>  [72,]     1     0     0     1     1     0     1     0     1     1     1     1
#>  [73,]     0     0     0     0     0     0     0     0     0     1     1     1
#>  [74,]     1     1     1     0     1     1     1     0     0     0     1     1
#>  [75,]     1     0     0     1     0     1     0     0     0     1     0     1
#>  [76,]     0     0     0     0     0     1     1     1     0     0     1     0
#>  [77,]     0     1     0     1     0     0     1     0     1     0     1     1
#>  [78,]     1     0     0     0     1     1     0     0     0     1     1     1
#>  [79,]     0     1     0     1     1     1     0     1     0     0     1     1
#>  [80,]     0     0     0     0     0     0     0     0     0     0     1     1
#>  [81,]     0     1     0     0     1     1     0     0     0     0     1     1
#>  [82,]     0     0     0     1     0     0     1     0     0     0     1     1
#>  [83,]     1     1     0     1     1     1     1     0     0     0     1     1
#>  [84,]     1     0     0     0     0     0     0     0     0     0     1     1
#>  [85,]     0     1     1     0     1     0     1     0     0     0     1     1
#>  [86,]     0     0     1     0     1     0     0     1     0     0     1     1
#>  [87,]     1     1     1     0     1     1     0     1     1     0     1     1
#>  [88,]     1     1     1     1     0     1     1     1     0     0     1     1
#>  [89,]     0     0     0     1     0     0     1     0     0     0     0     1
#>  [90,]     1     1     0     1     1     0     1     0     1     1     1     1
#>  [91,]     1     1     0     0     0     0     0     0     1     0     1     1
#>  [92,]     0     0     0     0     0     0     0     0     0     0     0     1
#>  [93,]     0     1     1     1     0     1     1     0     0     0     1     1
#>  [94,]     0     0     0     0     0     1     0     0     0     0     0     0
#>  [95,]     0     1     1     0     0     0     0     1     1     0     1     1
#>  [96,]     0     0     0     0     0     0     0     0     0     0     1     0
#>  [97,]     0     0     0     1     1     0     1     1     0     0     1     1
#>  [98,]     1     1     1     1     0     1     1     0     1     0     0     1
#>  [99,]     0     0     0     1     0     0     1     0     0     0     1     1
#> [100,]     0     0     0     1     0     0     0     1     0     0     1     1
#>        [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>   [1,]     1     0     1     0     1     0     0     1     0     0     0     0
#>   [2,]     1     1     1     1     1     0     1     1     0     0     1     1
#>   [3,]     1     1     1     1     0     1     0     1     0     0     1     0
#>   [4,]     0     1     1     0     0     0     0     1     0     0     1     0
#>   [5,]     0     1     1     0     1     0     0     1     0     1     1     0
#>   [6,]     1     0     1     1     0     0     1     1     0     0     1     0
#>   [7,]     0     0     1     0     0     1     0     0     0     0     1     0
#>   [8,]     1     0     1     1     1     0     1     1     1     1     1     0
#>   [9,]     0     0     1     0     0     0     0     1     1     0     1     0
#>  [10,]     1     0     1     0     0     0     0     1     0     0     1     0
#>  [11,]     0     0     1     0     1     1     1     0     0     1     1     1
#>  [12,]     0     1     1     1     0     0     1     1     0     0     1     0
#>  [13,]     1     0     1     1     1     1     0     1     1     0     1     1
#>  [14,]     0     1     1     1     1     0     0     1     1     0     1     1
#>  [15,]     0     0     0     0     0     0     0     0     0     1     1     0
#>  [16,]     0     1     1     0     0     1     1     1     1     0     1     0
#>  [17,]     1     1     1     0     0     0     0     1     1     0     1     0
#>  [18,]     0     0     1     0     0     0     0     1     0     0     1     0
#>  [19,]     0     0     1     0     1     0     0     1     0     0     1     0
#>  [20,]     0     0     0     0     1     0     0     1     0     0     1     1
#>  [21,]     1     0     1     0     0     1     1     1     1     0     1     1
#>  [22,]     1     0     0     0     0     0     1     1     0     1     1     0
#>  [23,]     1     1     1     0     0     0     0     1     0     0     1     1
#>  [24,]     0     0     1     1     0     1     0     1     0     1     1     0
#>  [25,]     0     0     1     0     0     0     0     1     0     1     1     1
#>  [26,]     0     1     1     1     0     0     1     1     1     0     1     1
#>  [27,]     1     0     1     0     0     1     1     1     1     0     1     1
#>  [28,]     1     1     1     0     0     0     0     1     1     0     1     1
#>  [29,]     0     0     1     1     0     1     1     1     1     1     1     1
#>  [30,]     0     0     0     0     0     0     0     0     0     0     1     0
#>  [31,]     0     0     1     0     0     0     0     1     0     0     0     0
#>  [32,]     0     0     1     0     0     0     0     1     0     1     1     1
#>  [33,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [34,]     0     1     1     1     1     0     0     1     0     1     0     1
#>  [35,]     0     0     0     0     0     0     1     1     0     0     1     0
#>  [36,]     0     0     0     0     0     0     0     1     1     0     1     0
#>  [37,]     1     0     1     1     0     1     0     1     1     1     1     1
#>  [38,]     0     0     0     1     1     0     0     1     0     0     1     0
#>  [39,]     0     0     1     0     1     0     1     1     0     1     1     0
#>  [40,]     0     0     1     0     0     0     0     1     0     1     1     0
#>  [41,]     0     1     1     0     0     1     0     1     0     1     1     0
#>  [42,]     0     0     1     0     0     0     1     0     1     0     0     0
#>  [43,]     1     0     1     0     0     0     1     0     0     0     0     0
#>  [44,]     0     1     1     1     0     0     0     1     0     1     0     0
#>  [45,]     0     0     0     0     1     0     1     1     0     0     1     0
#>  [46,]     1     0     1     0     1     0     1     1     0     0     1     0
#>  [47,]     1     1     1     1     1     1     0     1     1     0     1     1
#>  [48,]     0     0     1     0     0     0     0     1     0     0     1     1
#>  [49,]     1     0     0     0     0     0     0     1     0     0     1     0
#>  [50,]     0     0     1     0     1     1     1     1     0     1     0     0
#>  [51,]     0     0     0     0     0     1     0     1     1     1     1     0
#>  [52,]     0     0     1     0     1     0     0     1     1     1     1     0
#>  [53,]     0     0     1     1     1     0     1     1     1     1     1     0
#>  [54,]     0     0     1     0     0     1     0     1     0     1     0     0
#>  [55,]     0     0     1     0     0     0     1     1     0     1     0     0
#>  [56,]     0     1     1     0     1     1     0     1     1     0     1     0
#>  [57,]     0     0     1     1     0     0     0     1     0     1     1     1
#>  [58,]     0     0     1     0     0     0     1     1     0     0     1     0
#>  [59,]     1     0     0     0     1     0     1     1     0     0     1     0
#>  [60,]     0     0     1     1     1     1     1     1     0     1     1     1
#>  [61,]     1     1     1     0     0     1     0     1     1     0     1     0
#>  [62,]     0     1     0     1     1     0     1     1     1     0     1     0
#>  [63,]     0     0     1     0     0     0     0     1     0     1     0     1
#>  [64,]     0     0     1     1     0     0     0     1     0     1     1     1
#>  [65,]     0     1     0     0     0     0     0     1     1     0     1     1
#>  [66,]     0     0     1     0     0     0     1     1     1     1     1     0
#>  [67,]     0     0     1     0     0     0     0     1     0     0     1     0
#>  [68,]     0     1     1     1     1     0     1     1     0     0     1     1
#>  [69,]     1     0     1     1     0     1     1     1     1     0     1     0
#>  [70,]     0     1     1     0     1     0     0     1     1     1     1     0
#>  [71,]     0     0     1     0     0     1     0     0     0     0     1     0
#>  [72,]     0     1     1     1     0     1     1     1     1     0     1     0
#>  [73,]     0     1     1     0     1     0     0     1     0     1     0     0
#>  [74,]     0     1     1     0     1     1     0     1     1     0     1     1
#>  [75,]     1     1     0     1     0     0     0     0     0     0     1     0
#>  [76,]     0     0     1     0     0     0     1     1     0     0     1     0
#>  [77,]     0     0     1     1     1     1     1     0     1     0     1     1
#>  [78,]     0     1     1     0     1     1     1     1     1     0     1     0
#>  [79,]     1     1     1     1     1     0     1     1     0     1     1     1
#>  [80,]     0     0     1     0     0     0     0     1     0     0     1     0
#>  [81,]     1     1     1     1     0     0     1     1     1     0     0     1
#>  [82,]     0     0     1     0     0     0     0     1     0     1     1     0
#>  [83,]     0     1     1     0     0     1     1     1     0     1     1     0
#>  [84,]     0     0     1     0     1     0     0     1     0     0     1     0
#>  [85,]     1     0     1     1     0     0     0     1     1     0     1     0
#>  [86,]     0     0     1     1     0     0     1     1     0     1     1     1
#>  [87,]     0     1     1     1     1     1     1     1     0     1     1     0
#>  [88,]     0     0     1     0     0     0     0     1     1     0     1     0
#>  [89,]     1     0     0     0     0     0     0     1     0     1     1     0
#>  [90,]     0     0     1     0     0     0     1     1     0     0     1     1
#>  [91,]     0     1     1     1     1     1     1     1     1     0     1     1
#>  [92,]     0     0     1     0     1     0     0     1     0     0     1     0
#>  [93,]     0     1     0     0     0     1     1     1     1     1     1     0
#>  [94,]     0     0     1     0     0     0     1     1     0     0     1     0
#>  [95,]     1     0     1     1     1     0     0     1     0     0     1     1
#>  [96,]     0     0     1     0     0     0     1     0     0     0     1     0
#>  [97,]     1     1     1     0     1     0     0     0     1     0     1     0
#>  [98,]     1     0     1     0     1     0     1     1     1     0     1     0
#>  [99,]     1     0     1     0     0     1     1     0     0     0     1     0
#> [100,]     0     0     1     1     0     0     0     1     0     1     1     0
#>        [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#>   [1,]     0     0     1     0     1     1     1     0     0     0     0     0
#>   [2,]     1     1     0     1     0     0     1     0     1     0     0     1
#>   [3,]     1     1     0     0     1     1     1     1     1     1     0     1
#>   [4,]     0     0     0     0     1     1     1     0     0     0     1     0
#>   [5,]     0     0     0     0     1     1     0     0     0     0     0     0
#>   [6,]     0     0     0     0     1     1     0     0     1     0     0     0
#>   [7,]     0     0     0     0     1     1     1     0     0     0     0     0
#>   [8,]     1     1     0     1     1     1     1     0     0     0     0     1
#>   [9,]     0     1     0     0     1     1     1     0     1     0     0     0
#>  [10,]     0     0     0     0     1     0     1     0     0     0     0     0
#>  [11,]     0     0     1     1     1     1     1     0     1     0     1     1
#>  [12,]     0     1     1     1     1     0     1     1     0     1     0     1
#>  [13,]     1     1     1     0     1     1     1     0     1     0     0     0
#>  [14,]     1     0     0     0     1     1     1     1     0     0     1     0
#>  [15,]     1     0     1     0     1     1     0     0     0     0     0     0
#>  [16,]     1     0     0     1     1     1     1     0     0     0     1     1
#>  [17,]     0     1     0     1     1     0     1     0     0     0     0     1
#>  [18,]     0     1     0     0     0     1     1     1     1     0     0     0
#>  [19,]     0     0     1     0     1     1     1     0     0     0     0     0
#>  [20,]     1     0     0     0     1     1     1     0     1     0     0     0
#>  [21,]     0     0     1     1     1     1     1     1     0     1     0     0
#>  [22,]     1     0     0     0     0     1     1     0     0     0     0     0
#>  [23,]     1     1     0     1     1     1     0     0     0     0     0     0
#>  [24,]     1     0     1     0     1     1     1     1     1     0     1     1
#>  [25,]     0     0     1     1     1     1     1     0     0     0     0     0
#>  [26,]     0     0     0     0     1     1     1     0     0     1     0     1
#>  [27,]     0     1     0     1     1     1     1     0     1     1     0     0
#>  [28,]     0     0     0     1     1     1     0     0     0     0     1     1
#>  [29,]     1     1     0     1     1     1     1     0     0     0     1     0
#>  [30,]     0     0     0     0     1     1     1     0     0     1     1     0
#>  [31,]     1     0     0     1     1     1     0     0     1     0     0     0
#>  [32,]     0     0     0     1     0     1     1     1     0     1     1     1
#>  [33,]     0     1     0     1     1     1     1     0     1     1     0     0
#>  [34,]     1     1     0     1     1     1     1     1     0     0     0     0
#>  [35,]     0     0     0     0     1     1     0     0     0     1     0     0
#>  [36,]     0     0     1     0     1     1     0     0     0     0     0     0
#>  [37,]     1     1     1     0     1     1     1     1     1     1     0     1
#>  [38,]     0     0     1     0     1     1     0     0     0     0     0     0
#>  [39,]     1     0     0     0     1     1     1     0     1     0     0     0
#>  [40,]     1     0     0     0     1     0     1     0     0     0     1     0
#>  [41,]     0     0     0     1     0     1     1     0     1     0     0     0
#>  [42,]     0     0     0     0     1     1     1     0     0     0     1     0
#>  [43,]     1     0     0     1     1     1     1     0     0     0     1     0
#>  [44,]     1     1     1     1     1     1     1     1     0     0     1     0
#>  [45,]     0     0     1     0     1     1     1     0     0     0     0     0
#>  [46,]     1     0     0     0     1     1     1     0     1     0     1     0
#>  [47,]     1     0     1     1     0     1     1     0     0     1     0     0
#>  [48,]     0     1     0     1     1     1     1     0     0     0     1     0
#>  [49,]     0     0     0     0     1     1     1     0     1     0     1     0
#>  [50,]     1     1     1     0     0     0     0     1     0     0     1     0
#>  [51,]     0     0     0     0     1     1     0     1     0     0     1     0
#>  [52,]     0     0     0     1     1     1     1     0     0     0     0     0
#>  [53,]     1     1     1     0     1     1     1     0     1     1     1     1
#>  [54,]     0     0     0     0     1     1     0     0     0     0     1     0
#>  [55,]     1     1     0     0     1     1     1     0     1     0     0     1
#>  [56,]     0     1     0     0     1     1     1     0     0     1     1     1
#>  [57,]     1     1     1     0     1     1     0     1     1     1     0     1
#>  [58,]     0     0     0     0     1     1     0     0     0     0     0     0
#>  [59,]     0     0     1     0     1     1     1     0     1     0     1     0
#>  [60,]     1     1     1     0     1     1     1     1     1     1     0     0
#>  [61,]     1     1     0     1     1     1     1     1     0     0     0     1
#>  [62,]     0     0     0     0     1     1     1     1     0     0     1     1
#>  [63,]     1     1     1     0     0     1     1     0     0     1     0     0
#>  [64,]     0     1     1     0     1     1     1     1     0     0     1     1
#>  [65,]     1     0     0     0     1     1     1     1     0     1     0     1
#>  [66,]     0     1     1     0     1     1     1     0     0     1     0     0
#>  [67,]     0     1     0     1     1     1     0     0     1     0     0     0
#>  [68,]     0     1     0     1     1     1     1     0     1     0     0     0
#>  [69,]     1     1     0     1     1     1     1     0     1     0     0     1
#>  [70,]     0     1     0     1     1     1     1     0     0     0     0     0
#>  [71,]     0     0     1     0     1     1     1     0     0     0     0     1
#>  [72,]     0     1     1     0     1     1     1     1     0     0     1     1
#>  [73,]     0     0     0     1     1     1     1     0     1     0     1     0
#>  [74,]     0     1     0     0     1     1     1     0     0     0     0     0
#>  [75,]     0     0     1     0     1     1     1     0     0     1     0     0
#>  [76,]     0     0     1     0     1     1     1     0     1     0     0     0
#>  [77,]     1     0     0     1     1     1     1     1     1     0     0     0
#>  [78,]     0     1     1     1     1     1     1     1     1     0     0     0
#>  [79,]     0     1     0     0     1     1     1     0     1     0     1     1
#>  [80,]     0     0     1     1     1     1     1     0     0     1     0     0
#>  [81,]     0     1     1     0     1     1     1     0     1     1     0     1
#>  [82,]     0     0     1     0     1     0     1     0     0     0     0     0
#>  [83,]     1     1     1     0     1     1     0     1     1     0     0     1
#>  [84,]     0     0     0     1     1     1     0     0     1     0     1     0
#>  [85,]     0     1     0     1     1     1     1     1     0     0     0     0
#>  [86,]     1     0     0     1     0     1     1     1     0     0     0     0
#>  [87,]     0     0     0     0     1     1     1     1     1     1     0     1
#>  [88,]     0     1     0     0     0     1     0     0     0     0     1     0
#>  [89,]     0     0     1     0     1     1     1     1     0     0     0     0
#>  [90,]     0     1     0     1     1     1     1     0     0     0     0     0
#>  [91,]     0     0     0     0     0     1     1     1     1     0     1     0
#>  [92,]     0     0     0     0     1     1     1     0     0     0     0     0
#>  [93,]     1     0     1     0     1     1     1     1     0     1     1     1
#>  [94,]     0     0     0     0     1     1     1     0     0     0     0     0
#>  [95,]     0     0     1     0     1     1     1     1     1     0     1     1
#>  [96,]     0     0     0     0     1     1     1     0     0     0     0     0
#>  [97,]     0     0     0     0     0     1     1     0     0     1     0     0
#>  [98,]     1     1     0     0     1     1     1     1     0     0     0     1
#>  [99,]     0     0     1     0     1     1     1     0     0     0     0     0
#> [100,]     0     0     0     0     1     0     1     1     0     0     1     0
#>        [,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
#>   [1,]     0     0     0     1     0     0     1     0     0     0     0     1
#>   [2,]     1     1     0     1     0     0     1     0     0     1     0     1
#>   [3,]     0     1     0     1     0     1     0     1     1     0     0     1
#>   [4,]     1     0     0     1     0     0     0     1     0     0     0     1
#>   [5,]     0     1     1     1     0     0     1     0     0     0     0     1
#>   [6,]     0     1     0     1     0     0     1     0     0     1     0     1
#>   [7,]     0     1     0     1     1     0     1     0     0     1     0     1
#>   [8,]     0     1     0     1     0     0     0     1     0     0     0     1
#>   [9,]     0     1     0     1     0     1     0     1     0     0     0     1
#>  [10,]     0     0     0     1     0     0     0     0     0     1     1     1
#>  [11,]     1     1     0     1     0     0     1     0     0     0     0     1
#>  [12,]     1     1     1     1     0     1     0     0     1     0     0     1
#>  [13,]     0     1     1     1     1     1     1     0     0     0     1     1
#>  [14,]     1     1     1     1     0     1     0     0     1     1     1     1
#>  [15,]     0     1     0     1     0     0     1     0     0     0     0     1
#>  [16,]     0     0     1     1     1     1     1     0     1     0     0     1
#>  [17,]     1     1     0     1     1     0     0     0     1     0     1     1
#>  [18,]     0     1     0     1     0     0     1     0     1     1     1     1
#>  [19,]     1     1     0     1     0     0     0     0     0     0     0     1
#>  [20,]     0     0     0     1     0     0     1     0     0     0     0     1
#>  [21,]     0     1     0     0     0     0     0     0     1     1     0     1
#>  [22,]     0     1     0     1     1     0     0     0     0     0     0     1
#>  [23,]     1     1     1     1     0     0     0     1     0     0     0     1
#>  [24,]     1     1     1     1     0     0     0     0     0     1     1     1
#>  [25,]     0     1     0     1     0     0     0     0     0     0     0     1
#>  [26,]     1     1     0     0     1     1     1     0     1     0     1     0
#>  [27,]     1     1     1     1     1     0     0     1     0     1     0     1
#>  [28,]     0     1     0     1     1     0     0     1     0     0     0     1
#>  [29,]     1     1     1     1     0     1     1     1     1     0     0     1
#>  [30,]     0     1     0     1     0     0     0     0     0     0     1     1
#>  [31,]     0     1     0     1     0     0     0     1     1     0     0     1
#>  [32,]     1     0     0     1     0     0     0     1     0     0     0     1
#>  [33,]     0     1     1     1     1     1     1     1     1     1     0     1
#>  [34,]     1     1     0     0     0     1     1     1     1     1     1     1
#>  [35,]     0     1     0     0     1     0     0     1     0     1     0     0
#>  [36,]     0     1     0     1     0     1     0     1     0     1     1     1
#>  [37,]     0     1     1     1     0     0     0     1     0     0     0     1
#>  [38,]     0     1     0     1     0     0     0     0     0     0     0     1
#>  [39,]     0     0     0     1     0     0     0     1     0     0     0     1
#>  [40,]     0     1     1     1     0     0     0     0     0     0     0     0
#>  [41,]     1     1     1     1     0     0     0     0     1     1     0     1
#>  [42,]     0     0     0     1     0     0     1     0     0     0     0     1
#>  [43,]     0     1     0     1     0     0     0     0     1     0     0     1
#>  [44,]     1     0     1     1     1     0     1     0     1     0     1     1
#>  [45,]     0     0     0     1     0     0     0     0     1     0     1     1
#>  [46,]     0     1     0     1     0     1     0     0     1     0     0     0
#>  [47,]     1     1     0     1     0     1     0     0     0     0     0     1
#>  [48,]     1     1     0     1     0     0     0     1     0     1     0     0
#>  [49,]     0     1     0     1     0     0     0     1     0     0     0     1
#>  [50,]     0     1     0     1     1     1     0     1     0     1     1     1
#>  [51,]     0     1     1     1     0     0     0     0     1     1     1     1
#>  [52,]     0     1     0     1     1     0     0     1     0     1     0     1
#>  [53,]     1     1     1     1     0     1     0     0     1     0     0     1
#>  [54,]     0     1     0     0     0     0     1     1     0     0     1     1
#>  [55,]     0     1     0     1     0     1     1     0     1     1     0     1
#>  [56,]     1     1     1     1     1     0     0     0     0     0     0     1
#>  [57,]     1     0     0     1     1     1     0     0     1     0     1     1
#>  [58,]     0     1     0     1     1     0     0     0     0     0     0     1
#>  [59,]     0     0     0     1     1     0     0     0     0     0     0     1
#>  [60,]     1     1     0     1     0     0     0     1     0     0     0     1
#>  [61,]     0     0     1     1     1     0     0     1     1     1     0     1
#>  [62,]     1     1     1     1     1     0     0     1     1     0     1     1
#>  [63,]     1     1     0     1     0     0     0     1     1     0     0     1
#>  [64,]     1     1     0     1     0     0     1     0     1     1     0     1
#>  [65,]     1     1     1     1     1     0     0     0     0     0     0     1
#>  [66,]     1     1     0     1     0     1     1     0     1     1     1     1
#>  [67,]     0     1     0     1     0     0     1     0     0     0     1     1
#>  [68,]     0     1     0     1     0     1     0     0     1     1     1     1
#>  [69,]     0     1     1     0     0     0     1     1     0     0     0     1
#>  [70,]     1     1     0     1     1     1     1     1     0     1     0     0
#>  [71,]     0     1     0     1     1     0     0     0     0     0     0     1
#>  [72,]     0     1     0     1     0     0     0     0     0     0     1     1
#>  [73,]     0     1     0     1     0     0     0     1     0     0     0     1
#>  [74,]     0     1     1     1     0     0     0     0     1     0     0     1
#>  [75,]     1     1     0     1     0     0     1     0     0     0     0     1
#>  [76,]     0     1     0     1     1     1     0     0     0     1     1     1
#>  [77,]     1     1     0     1     0     0     1     0     1     1     0     1
#>  [78,]     0     1     1     1     0     1     0     1     0     0     0     1
#>  [79,]     1     1     1     1     1     1     1     1     1     0     1     1
#>  [80,]     0     1     0     1     0     0     0     0     0     0     0     1
#>  [81,]     0     1     1     1     0     1     0     1     0     0     1     1
#>  [82,]     0     0     0     1     1     1     0     0     1     1     0     1
#>  [83,]     1     1     1     0     1     0     1     0     0     0     0     1
#>  [84,]     1     0     0     1     0     0     0     1     0     0     1     0
#>  [85,]     1     0     0     1     1     0     1     0     1     0     0     1
#>  [86,]     1     1     0     1     0     1     1     0     0     0     0     1
#>  [87,]     1     1     1     1     1     1     1     1     1     0     0     1
#>  [88,]     1     0     1     1     0     0     0     0     1     0     0     1
#>  [89,]     0     0     0     1     1     0     0     1     0     0     0     1
#>  [90,]     1     1     1     0     0     1     1     1     0     1     1     1
#>  [91,]     0     1     1     0     1     1     0     0     1     1     0     1
#>  [92,]     0     1     0     1     0     0     0     1     0     0     0     1
#>  [93,]     0     1     1     1     1     0     0     1     1     1     1     1
#>  [94,]     0     1     0     1     1     0     0     0     0     0     0     1
#>  [95,]     0     1     1     1     1     1     0     0     0     0     1     1
#>  [96,]     0     1     0     0     1     0     1     1     0     0     0     1
#>  [97,]     1     1     1     1     1     1     1     1     1     1     0     1
#>  [98,]     0     1     0     0     0     1     0     1     1     0     0     1
#>  [99,]     0     1     0     1     1     0     1     0     0     1     1     0
#> [100,]     0     1     0     0     0     0     0     0     0     1     0     1
#>        [,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
#>   [1,]     0     0     0     0     0     1     0     0     1     1     1     1
#>   [2,]     1     1     1     1     0     1     0     1     0     1     1     1
#>   [3,]     0     1     0     1     0     1     1     0     1     0     1     1
#>   [4,]     0     0     0     0     1     1     1     0     1     1     0     1
#>   [5,]     0     0     0     0     1     1     1     0     1     1     1     1
#>   [6,]     0     0     0     0     0     1     1     0     1     1     0     1
#>   [7,]     1     0     0     1     0     1     0     0     1     1     1     1
#>   [8,]     0     1     1     1     1     1     1     1     1     1     1     1
#>   [9,]     0     0     0     0     0     1     0     0     1     1     1     1
#>  [10,]     0     1     0     0     0     1     0     0     1     1     1     1
#>  [11,]     1     0     1     1     0     1     0     0     1     1     0     0
#>  [12,]     0     0     0     1     0     1     1     0     1     0     1     0
#>  [13,]     0     1     1     0     1     1     0     1     1     1     0     1
#>  [14,]     0     1     1     1     0     1     1     1     1     1     1     1
#>  [15,]     0     0     0     1     0     0     0     0     1     1     1     1
#>  [16,]     1     0     0     0     0     1     0     0     1     1     1     1
#>  [17,]     0     1     0     1     0     1     0     0     1     1     1     1
#>  [18,]     0     0     0     0     0     1     1     0     1     0     1     1
#>  [19,]     0     0     0     0     0     1     0     0     0     0     1     1
#>  [20,]     0     0     0     0     1     1     1     0     0     1     1     1
#>  [21,]     0     0     1     0     1     1     0     0     1     1     1     1
#>  [22,]     0     0     0     1     1     0     0     0     1     0     1     1
#>  [23,]     1     0     1     0     0     1     0     1     1     1     1     1
#>  [24,]     1     1     1     0     1     1     0     0     1     1     1     1
#>  [25,]     0     1     0     0     0     1     0     0     1     0     1     1
#>  [26,]     0     1     1     0     1     1     0     0     1     1     0     1
#>  [27,]     1     1     1     0     1     1     1     0     1     1     1     1
#>  [28,]     1     1     1     0     0     1     0     0     1     1     1     1
#>  [29,]     1     0     0     0     1     1     0     0     1     1     1     1
#>  [30,]     0     0     1     1     0     1     1     1     1     1     1     1
#>  [31,]     0     0     0     0     0     1     0     1     1     0     0     1
#>  [32,]     0     0     1     0     1     1     1     1     1     1     1     1
#>  [33,]     1     0     0     0     0     1     0     0     1     1     1     0
#>  [34,]     1     0     0     0     1     1     0     0     1     1     1     1
#>  [35,]     0     0     0     1     0     1     0     0     0     1     1     1
#>  [36,]     0     0     0     0     0     1     0     0     1     1     1     1
#>  [37,]     1     0     0     0     1     1     0     0     1     1     1     1
#>  [38,]     0     0     0     0     0     1     0     0     1     0     1     1
#>  [39,]     0     0     1     0     0     1     0     0     1     1     1     1
#>  [40,]     1     1     0     0     0     1     1     0     1     1     1     1
#>  [41,]     1     0     0     1     0     1     1     1     1     0     1     0
#>  [42,]     0     0     0     1     1     0     1     0     1     0     0     0
#>  [43,]     0     0     0     1     1     1     0     0     1     0     0     1
#>  [44,]     0     1     0     0     1     1     1     0     1     1     1     1
#>  [45,]     0     0     1     1     0     0     0     1     1     1     1     1
#>  [46,]     0     0     0     1     1     1     0     0     1     1     1     1
#>  [47,]     0     1     1     0     0     1     1     0     0     1     1     1
#>  [48,]     1     0     1     1     0     1     0     1     1     1     1     1
#>  [49,]     0     0     0     0     1     1     1     0     1     1     1     1
#>  [50,]     0     0     0     0     0     1     1     1     1     0     1     1
#>  [51,]     1     0     1     0     0     1     0     1     1     1     1     1
#>  [52,]     0     0     0     0     0     1     1     0     1     1     1     1
#>  [53,]     1     1     0     0     0     1     1     1     1     1     0     1
#>  [54,]     0     0     0     1     0     1     0     1     1     1     1     1
#>  [55,]     1     0     1     1     1     1     0     1     1     1     1     1
#>  [56,]     1     1     0     0     0     1     0     1     1     1     1     1
#>  [57,]     1     0     0     1     0     1     0     0     1     0     1     1
#>  [58,]     0     0     0     1     0     1     1     0     1     1     1     1
#>  [59,]     0     0     0     0     0     0     0     0     1     1     1     1
#>  [60,]     1     0     1     0     0     1     1     0     1     1     1     1
#>  [61,]     1     1     0     1     1     1     0     1     0     1     1     1
#>  [62,]     1     0     1     0     0     0     1     1     0     1     1     1
#>  [63,]     0     0     0     0     1     1     0     0     1     0     1     1
#>  [64,]     1     0     0     0     0     1     0     0     1     0     1     1
#>  [65,]     1     0     0     0     0     1     0     0     1     1     1     1
#>  [66,]     1     0     0     0     1     1     0     1     1     1     1     1
#>  [67,]     0     0     0     1     0     0     1     0     1     0     1     1
#>  [68,]     1     1     1     0     0     1     0     1     1     1     1     1
#>  [69,]     1     0     0     0     0     1     1     0     1     1     1     1
#>  [70,]     1     1     1     0     0     1     0     1     1     1     1     1
#>  [71,]     0     0     0     0     0     1     0     0     1     1     1     1
#>  [72,]     0     0     0     0     1     1     0     1     1     1     0     1
#>  [73,]     0     0     0     0     0     1     1     0     1     1     0     1
#>  [74,]     1     0     1     1     0     0     0     1     1     1     1     1
#>  [75,]     0     0     0     1     0     0     0     0     0     1     1     1
#>  [76,]     0     0     0     1     0     1     1     0     1     1     1     1
#>  [77,]     1     0     1     1     0     0     0     1     1     1     0     1
#>  [78,]     0     1     1     0     0     1     1     0     1     1     1     1
#>  [79,]     1     1     0     0     0     1     1     0     1     1     1     0
#>  [80,]     0     0     0     0     0     1     1     0     1     1     0     1
#>  [81,]     1     0     1     0     1     1     0     0     1     1     1     1
#>  [82,]     0     0     0     0     0     0     0     0     1     1     1     1
#>  [83,]     0     1     0     1     1     1     1     1     1     1     1     1
#>  [84,]     0     0     0     0     0     0     1     0     1     1     1     1
#>  [85,]     1     1     1     0     0     1     1     0     0     1     1     1
#>  [86,]     0     0     0     1     1     1     0     1     0     1     1     1
#>  [87,]     1     1     0     1     0     1     0     0     1     1     1     1
#>  [88,]     0     0     0     1     1     1     0     1     1     1     0     1
#>  [89,]     0     0     0     0     1     0     1     0     1     1     1     1
#>  [90,]     0     0     1     0     0     1     1     0     1     1     1     1
#>  [91,]     1     1     1     1     1     1     0     1     0     1     1     1
#>  [92,]     0     0     0     0     1     1     0     0     1     0     0     1
#>  [93,]     0     0     1     0     1     1     1     0     1     1     1     1
#>  [94,]     0     0     0     1     0     1     1     0     0     1     1     1
#>  [95,]     1     1     0     0     0     1     0     0     1     0     1     1
#>  [96,]     0     0     1     0     0     1     1     0     1     1     1     1
#>  [97,]     0     1     1     1     0     1     0     1     1     1     1     1
#>  [98,]     0     0     1     1     1     1     0     1     1     1     1     1
#>  [99,]     0     0     0     0     1     1     1     0     1     1     1     1
#> [100,]     0     0     0     0     0     0     1     1     1     1     1     0
#>        [,98] [,99] [,100] [,101] [,102] [,103] [,104] [,105] [,106] [,107]
#>   [1,]     1     1      1      0      1      1      1      0      0      1
#>   [2,]     1     0      1      0      1      0      1      1      1      1
#>   [3,]     1     1      1      1      1      1      1      1      1      0
#>   [4,]     1     0      0      0      1      0      1      0      0      0
#>   [5,]     1     0      1      0      1      1      1      0      0      0
#>   [6,]     0     1      1      0      1      1      0      0      0      0
#>   [7,]     1     1      0      0      1      0      0      0      0      0
#>   [8,]     1     1      1      1      1      1      1      1      0      0
#>   [9,]     1     1      1      1      1      1      1      0      0      0
#>  [10,]     1     0      0      1      1      1      1      0      0      0
#>  [11,]     1     1      1      0      1      1      1      0      1      0
#>  [12,]     1     1      1      1      1      1      1      1      1      0
#>  [13,]     1     1      1      1      1      1      1      0      1      0
#>  [14,]     0     0      1      0      1      1      1      0      1      0
#>  [15,]     1     1      1      1      1      1      1      0      0      0
#>  [16,]     1     1      1      0      1      1      0      1      0      1
#>  [17,]     1     1      1      0      1      1      1      1      0      0
#>  [18,]     1     1      1      1      0      1      1      0      0      0
#>  [19,]     1     1      0      0      1      1      0      0      0      0
#>  [20,]     0     1      1      0      1      1      1      0      0      0
#>  [21,]     1     1      1      1      1      1      1      1      1      0
#>  [22,]     0     1      1      1      1      0      0      0      0      0
#>  [23,]     1     1      1      1      1      1      1      0      0      1
#>  [24,]     1     1      1      0      1      1      1      0      0      0
#>  [25,]     1     1      1      0      1      1      1      0      0      0
#>  [26,]     1     1      1      0      1      1      1      1      1      0
#>  [27,]     1     1      1      0      1      1      1      0      0      1
#>  [28,]     1     1      1      1      1      1      1      0      0      0
#>  [29,]     1     1      1      0      1      1      1      1      1      0
#>  [30,]     1     1      1      0      1      1      1      0      0      0
#>  [31,]     1     1      1      0      1      0      1      0      0      0
#>  [32,]     1     1      1      0      1      1      1      1      1      0
#>  [33,]     1     0      1      1      1      1      1      1      0      0
#>  [34,]     1     0      1      1      1      1      1      1      0      0
#>  [35,]     1     1      1      0      1      1      1      0      1      0
#>  [36,]     1     1      1      0      1      1      0      0      0      0
#>  [37,]     1     1      1      1      0      0      1      1      0      1
#>  [38,]     1     1      1      0      1      1      1      0      0      0
#>  [39,]     1     1      1      0      1      1      1      1      0      0
#>  [40,]     1     1      0      1      0      1      0      0      0      0
#>  [41,]     1     1      1      1      1      1      1      1      0      1
#>  [42,]     0     0      1      0      1      0      1      0      0      0
#>  [43,]     1     0      0      0      1      1      1      0      0      0
#>  [44,]     0     1      1      0      0      1      1      1      1      1
#>  [45,]     1     1      1      0      1      1      1      0      0      0
#>  [46,]     1     1      1      0      1      1      1      0      0      0
#>  [47,]     1     1      1      0      1      1      1      0      0      0
#>  [48,]     1     1      1      0      1      1      0      1      1      1
#>  [49,]     1     1      1      0      1      1      1      0      0      0
#>  [50,]     1     1      1      0      1      1      1      0      1      0
#>  [51,]     1     1      1      0      0      1      1      1      1      0
#>  [52,]     1     1      1      1      1      1      0      0      0      0
#>  [53,]     1     1      1      1      1      0      1      0      0      1
#>  [54,]     1     1      0      0      1      1      1      0      0      0
#>  [55,]     1     1      1      1      1      0      1      0      0      0
#>  [56,]     1     1      1      0      1      1      1      0      1      0
#>  [57,]     0     0      1      0      1      0      1      1      0      0
#>  [58,]     1     1      1      1      1      1      1      0      1      0
#>  [59,]     1     1      1      0      0      1      1      0      0      0
#>  [60,]     1     1      1      0      0      1      1      1      0      0
#>  [61,]     1     1      1      1      1      1      1      1      0      0
#>  [62,]     1     1      1      1      1      1      1      0      1      1
#>  [63,]     0     1      1      0      1      1      1      0      0      1
#>  [64,]     1     1      1      0      1      1      1      0      0      0
#>  [65,]     1     1      1      0      1      1      1      1      0      1
#>  [66,]     1     1      1      0      0      1      1      1      1      1
#>  [67,]     1     1      1      0      0      1      1      0      0      0
#>  [68,]     0     1      1      0      1      1      1      1      0      1
#>  [69,]     1     1      1      0      1      1      1      1      1      0
#>  [70,]     1     1      1      1      1      1      1      1      0      0
#>  [71,]     1     1      1      1      1      1      0      0      0      0
#>  [72,]     1     1      1      0      1      1      1      1      1      0
#>  [73,]     1     1      1      1      1      1      1      0      0      0
#>  [74,]     1     1      1      0      0      1      0      0      0      1
#>  [75,]     1     1      1      1      1      1      1      0      0      0
#>  [76,]     0     1      1      0      1      1      1      1      0      0
#>  [77,]     1     1      0      0      0      1      1      0      0      1
#>  [78,]     1     1      1      0      0      0      0      1      0      0
#>  [79,]     1     1      1      0      1      1      1      0      0      0
#>  [80,]     1     1      1      0      0      1      1      0      0      0
#>  [81,]     0     1      1      0      0      1      1      0      0      1
#>  [82,]     1     0      0      0      1      1      1      0      0      0
#>  [83,]     1     1      1      0      1      1      0      0      1      1
#>  [84,]     1     1      1      0      0      0      1      0      0      0
#>  [85,]     1     1      1      1      1      1      1      1      0      1
#>  [86,]     1     1      1      1      1      0      1      1      1      1
#>  [87,]     1     0      1      1      1      0      1      1      1      0
#>  [88,]     1     1      1      1      1      1      1      1      1      0
#>  [89,]     1     1      1      0      1      1      1      0      0      0
#>  [90,]     1     1      1      0      1      0      1      1      1      1
#>  [91,]     1     1      1      1      1      1      1      1      0      0
#>  [92,]     1     1      1      1      1      1      1      0      0      0
#>  [93,]     1     1      1      0      1      1      1      0      0      1
#>  [94,]     1     0      1      1      1      0      0      0      0      0
#>  [95,]     1     1      1      1      1      1      1      0      1      0
#>  [96,]     0     1      1      0      1      1      1      0      0      0
#>  [97,]     1     1      1      1      1      1      1      1      0      0
#>  [98,]     1     1      1      0      1      1      1      0      1      1
#>  [99,]     1     0      1      0      0      1      1      1      0      0
#> [100,]     0     1      1      0      1      1      1      0      0      0
#>        [,108] [,109] [,110] [,111] [,112] [,113] [,114] [,115] [,116] [,117]
#>   [1,]      0      0      0      0      1      0      0      1      1      1
#>   [2,]      0      1      1      1      1      1      1      0      1      1
#>   [3,]      1      1      1      1      1      0      1      0      1      1
#>   [4,]      1      1      1      1      0      0      1      0      1      1
#>   [5,]      1      1      1      0      1      0      1      1      1      1
#>   [6,]      1      1      1      0      0      0      1      0      1      1
#>   [7,]      1      1      1      0      0      0      0      1      1      1
#>   [8,]      1      1      1      1      1      0      1      0      1      1
#>   [9,]      1      0      1      0      0      0      1      0      1      1
#>  [10,]      1      1      1      0      0      0      1      1      1      1
#>  [11,]      0      0      1      1      1      0      1      1      1      1
#>  [12,]      1      1      1      0      0      1      1      1      1      1
#>  [13,]      1      1      1      1      0      1      1      1      1      1
#>  [14,]      1      1      1      0      0      0      1      1      1      1
#>  [15,]      0      1      0      0      0      0      1      0      0      1
#>  [16,]      1      1      1      0      1      1      1      1      1      1
#>  [17,]      1      1      0      1      1      0      1      1      1      1
#>  [18,]      0      1      1      0      0      0      1      0      1      1
#>  [19,]      1      1      1      0      1      0      1      0      1      0
#>  [20,]      1      1      1      0      0      0      1      0      0      0
#>  [21,]      1      1      1      0      1      1      1      0      1      1
#>  [22,]      1      1      1      0      0      0      1      0      1      1
#>  [23,]      1      1      1      0      1      0      1      0      1      1
#>  [24,]      0      1      0      1      0      1      1      0      1      1
#>  [25,]      1      1      1      1      0      0      1      0      1      1
#>  [26,]      1      1      1      0      0      1      1      1      1      1
#>  [27,]      1      1      1      1      0      1      1      0      1      1
#>  [28,]      1      1      1      0      0      1      1      1      1      1
#>  [29,]      1      1      1      0      1      1      1      0      1      1
#>  [30,]      1      1      1      0      0      0      1      0      1      0
#>  [31,]      1      1      1      0      0      1      1      0      1      1
#>  [32,]      1      1      1      0      1      0      0      1      1      0
#>  [33,]      1      1      1      1      1      0      1      1      1      1
#>  [34,]      1      1      0      0      1      0      0      1      1      1
#>  [35,]      1      0      1      0      0      0      0      0      0      1
#>  [36,]      1      1      1      0      0      0      1      0      0      1
#>  [37,]      1      1      1      0      0      1      1      1      0      1
#>  [38,]      0      1      1      0      0      0      1      0      1      1
#>  [39,]      1      1      1      0      0      0      1      0      1      1
#>  [40,]      1      1      1      0      0      0      1      0      1      1
#>  [41,]      1      1      0      0      1      1      1      1      1      1
#>  [42,]      1      1      0      0      0      0      1      0      1      0
#>  [43,]      1      1      0      0      0      1      1      0      1      1
#>  [44,]      0      0      1      1      0      0      1      1      1      1
#>  [45,]      1      1      0      0      0      0      1      0      1      0
#>  [46,]      1      0      1      0      0      0      1      0      1      0
#>  [47,]      1      1      1      0      0      1      1      1      1      1
#>  [48,]      1      1      1      0      0      0      1      0      1      1
#>  [49,]      1      1      1      0      0      0      1      1      0      1
#>  [50,]      1      1      1      1      0      0      0      1      1      0
#>  [51,]      1      1      1      0      1      0      1      1      1      1
#>  [52,]      0      0      0      0      0      0      1      0      1      0
#>  [53,]      1      1      1      0      1      1      1      0      1      1
#>  [54,]      1      1      1      0      1      1      1      0      1      1
#>  [55,]      1      1      0      1      1      1      0      1      1      1
#>  [56,]      1      1      1      0      1      0      1      1      1      1
#>  [57,]      1      1      1      1      0      1      1      0      1      1
#>  [58,]      0      0      0      0      0      0      1      0      0      1
#>  [59,]      1      1      1      0      0      0      1      1      1      1
#>  [60,]      1      1      1      1      0      1      1      1      1      1
#>  [61,]      1      0      1      1      1      0      1      1      1      1
#>  [62,]      1      1      1      0      0      1      1      1      1      1
#>  [63,]      1      1      1      0      0      0      1      0      0      1
#>  [64,]      0      1      1      1      1      0      1      0      1      1
#>  [65,]      1      1      1      1      0      1      1      0      1      1
#>  [66,]      1      1      1      1      0      0      1      1      1      1
#>  [67,]      1      1      1      0      0      0      1      0      1      1
#>  [68,]      0      1      1      0      1      1      1      1      1      1
#>  [69,]      1      1      1      1      1      1      1      1      1      1
#>  [70,]      1      1      1      1      0      1      1      0      1      1
#>  [71,]      1      1      1      0      0      0      1      1      1      1
#>  [72,]      1      1      1      1      0      0      1      0      1      1
#>  [73,]      1      1      0      0      0      0      1      1      1      1
#>  [74,]      1      1      1      1      1      0      1      1      1      1
#>  [75,]      1      1      0      0      0      0      1      0      1      1
#>  [76,]      1      1      1      0      0      0      1      0      0      1
#>  [77,]      1      1      1      0      0      1      0      1      1      1
#>  [78,]      0      1      1      1      1      0      1      1      0      1
#>  [79,]      1      1      0      0      0      0      1      1      1      1
#>  [80,]      0      0      1      0      0      0      1      0      1      1
#>  [81,]      1      1      0      1      0      1      1      1      1      1
#>  [82,]      1      1      1      0      0      0      1      0      1      1
#>  [83,]      0      1      1      1      0      0      1      1      1      0
#>  [84,]      1      1      1      0      0      0      1      0      1      1
#>  [85,]      1      1      1      0      0      0      1      1      1      1
#>  [86,]      1      1      1      1      1      1      1      1      0      1
#>  [87,]      1      1      1      1      0      0      1      0      1      1
#>  [88,]      1      1      1      1      0      1      0      1      1      1
#>  [89,]      1      1      1      1      0      0      1      0      1      1
#>  [90,]      0      1      0      0      1      1      1      0      1      1
#>  [91,]      0      1      1      0      1      0      1      1      1      1
#>  [92,]      1      1      1      0      0      1      1      0      1      1
#>  [93,]      1      1      1      1      1      1      1      1      1      0
#>  [94,]      1      0      1      0      0      0      1      0      0      1
#>  [95,]      1      1      1      1      0      1      0      0      1      1
#>  [96,]      1      1      1      0      0      0      1      0      1      1
#>  [97,]      1      0      1      1      1      1      1      0      1      1
#>  [98,]      1      1      1      0      0      1      0      1      1      1
#>  [99,]      1      1      1      0      0      1      1      0      1      1
#> [100,]      1      1      1      0      0      0      1      0      0      1
#>        [,118] [,119] [,120]
#>   [1,]      1      0      0
#>   [2,]      0      1      1
#>   [3,]      0      0      0
#>   [4,]      1      0      0
#>   [5,]      0      0      0
#>   [6,]      1      1      0
#>   [7,]      1      1      0
#>   [8,]      1      0      1
#>   [9,]      1      1      0
#>  [10,]      1      0      0
#>  [11,]      1      0      1
#>  [12,]      1      0      1
#>  [13,]      1      0      1
#>  [14,]      1      1      1
#>  [15,]      1      0      0
#>  [16,]      0      0      1
#>  [17,]      1      1      1
#>  [18,]      1      0      0
#>  [19,]      1      1      0
#>  [20,]      0      0      0
#>  [21,]      1      0      1
#>  [22,]      1      1      0
#>  [23,]      1      0      1
#>  [24,]      1      0      0
#>  [25,]      1      0      0
#>  [26,]      1      1      1
#>  [27,]      1      0      0
#>  [28,]      1      0      0
#>  [29,]      1      0      1
#>  [30,]      1      0      0
#>  [31,]      1      0      0
#>  [32,]      1      0      0
#>  [33,]      1      0      0
#>  [34,]      0      0      1
#>  [35,]      0      0      0
#>  [36,]      1      0      0
#>  [37,]      1      0      0
#>  [38,]      1      1      0
#>  [39,]      1      0      0
#>  [40,]      1      0      0
#>  [41,]      1      1      0
#>  [42,]      1      0      0
#>  [43,]      1      0      0
#>  [44,]      1      0      0
#>  [45,]      1      0      0
#>  [46,]      1      0      0
#>  [47,]      1      1      1
#>  [48,]      1      0      0
#>  [49,]      0      0      0
#>  [50,]      0      1      1
#>  [51,]      1      0      0
#>  [52,]      1      0      0
#>  [53,]      1      0      0
#>  [54,]      1      1      0
#>  [55,]      1      0      1
#>  [56,]      1      0      1
#>  [57,]      1      0      0
#>  [58,]      1      0      0
#>  [59,]      1      1      0
#>  [60,]      1      0      1
#>  [61,]      1      0      0
#>  [62,]      1      0      0
#>  [63,]      1      0      0
#>  [64,]      0      0      1
#>  [65,]      1      0      0
#>  [66,]      0      0      1
#>  [67,]      1      0      0
#>  [68,]      1      0      0
#>  [69,]      0      0      1
#>  [70,]      1      1      1
#>  [71,]      1      0      0
#>  [72,]      1      0      0
#>  [73,]      1      0      0
#>  [74,]      1      0      0
#>  [75,]      1      0      0
#>  [76,]      1      1      0
#>  [77,]      1      0      1
#>  [78,]      1      0      1
#>  [79,]      1      1      1
#>  [80,]      1      0      0
#>  [81,]      1      0      0
#>  [82,]      1      0      0
#>  [83,]      0      0      0
#>  [84,]      1      1      0
#>  [85,]      1      0      1
#>  [86,]      1      1      0
#>  [87,]      1      0      0
#>  [88,]      1      0      1
#>  [89,]      1      0      0
#>  [90,]      1      1      0
#>  [91,]      1      0      0
#>  [92,]      1      0      0
#>  [93,]      1      0      0
#>  [94,]      1      0      0
#>  [95,]      1      0      1
#>  [96,]      1      0      0
#>  [97,]      1      0      0
#>  [98,]      1      0      0
#>  [99,]      1      0      0
#> [100,]      1      0      1
mySampler$rNetwork()   # sample a new networrk (blocks and edges)
#> $indMemberships
#> $indMemberships$Reader
#>        [,1] [,2]
#>   [1,]    0    1
#>   [2,]    1    0
#>   [3,]    0    1
#>   [4,]    0    1
#>   [5,]    0    1
#>   [6,]    1    0
#>   [7,]    1    0
#>   [8,]    0    1
#>   [9,]    1    0
#>  [10,]    1    0
#>  [11,]    0    1
#>  [12,]    0    1
#>  [13,]    1    0
#>  [14,]    0    1
#>  [15,]    0    1
#>  [16,]    0    1
#>  [17,]    0    1
#>  [18,]    0    1
#>  [19,]    1    0
#>  [20,]    0    1
#>  [21,]    1    0
#>  [22,]    1    0
#>  [23,]    1    0
#>  [24,]    1    0
#>  [25,]    1    0
#>  [26,]    0    1
#>  [27,]    1    0
#>  [28,]    1    0
#>  [29,]    1    0
#>  [30,]    0    1
#>  [31,]    0    1
#>  [32,]    0    1
#>  [33,]    0    1
#>  [34,]    0    1
#>  [35,]    0    1
#>  [36,]    0    1
#>  [37,]    0    1
#>  [38,]    0    1
#>  [39,]    0    1
#>  [40,]    1    0
#>  [41,]    0    1
#>  [42,]    1    0
#>  [43,]    1    0
#>  [44,]    1    0
#>  [45,]    0    1
#>  [46,]    1    0
#>  [47,]    1    0
#>  [48,]    0    1
#>  [49,]    0    1
#>  [50,]    0    1
#>  [51,]    0    1
#>  [52,]    1    0
#>  [53,]    1    0
#>  [54,]    1    0
#>  [55,]    1    0
#>  [56,]    1    0
#>  [57,]    1    0
#>  [58,]    0    1
#>  [59,]    0    1
#>  [60,]    0    1
#>  [61,]    0    1
#>  [62,]    1    0
#>  [63,]    1    0
#>  [64,]    1    0
#>  [65,]    1    0
#>  [66,]    1    0
#>  [67,]    1    0
#>  [68,]    0    1
#>  [69,]    0    1
#>  [70,]    1    0
#>  [71,]    1    0
#>  [72,]    1    0
#>  [73,]    0    1
#>  [74,]    0    1
#>  [75,]    1    0
#>  [76,]    0    1
#>  [77,]    0    1
#>  [78,]    1    0
#>  [79,]    1    0
#>  [80,]    0    1
#>  [81,]    0    1
#>  [82,]    0    1
#>  [83,]    1    0
#>  [84,]    1    0
#>  [85,]    0    1
#>  [86,]    0    1
#>  [87,]    0    1
#>  [88,]    0    1
#>  [89,]    1    0
#>  [90,]    1    0
#>  [91,]    0    1
#>  [92,]    1    0
#>  [93,]    1    0
#>  [94,]    0    1
#>  [95,]    1    0
#>  [96,]    1    0
#>  [97,]    0    1
#>  [98,]    0    1
#>  [99,]    1    0
#> [100,]    0    1
#> 
#> $indMemberships$Book
#>        [,1] [,2] [,3]
#>   [1,]    0    1    0
#>   [2,]    1    0    0
#>   [3,]    0    0    1
#>   [4,]    0    0    1
#>   [5,]    1    0    0
#>   [6,]    1    0    0
#>   [7,]    0    0    1
#>   [8,]    1    0    0
#>   [9,]    1    0    0
#>  [10,]    1    0    0
#>  [11,]    0    0    1
#>  [12,]    0    0    1
#>  [13,]    0    1    0
#>  [14,]    0    1    0
#>  [15,]    0    1    0
#>  [16,]    0    1    0
#>  [17,]    0    1    0
#>  [18,]    0    1    0
#>  [19,]    0    0    1
#>  [20,]    0    1    0
#>  [21,]    1    0    0
#>  [22,]    0    1    0
#>  [23,]    0    0    1
#>  [24,]    0    1    0
#>  [25,]    0    0    1
#>  [26,]    0    0    1
#>  [27,]    1    0    0
#>  [28,]    1    0    0
#>  [29,]    1    0    0
#>  [30,]    0    0    1
#>  [31,]    0    0    1
#>  [32,]    1    0    0
#>  [33,]    0    0    1
#>  [34,]    0    0    1
#>  [35,]    0    1    0
#>  [36,]    0    0    1
#>  [37,]    0    0    1
#>  [38,]    0    0    1
#>  [39,]    0    1    0
#>  [40,]    0    0    1
#>  [41,]    0    1    0
#>  [42,]    1    0    0
#>  [43,]    1    0    0
#>  [44,]    0    1    0
#>  [45,]    1    0    0
#>  [46,]    0    1    0
#>  [47,]    1    0    0
#>  [48,]    0    0    1
#>  [49,]    1    0    0
#>  [50,]    0    0    1
#>  [51,]    1    0    0
#>  [52,]    0    1    0
#>  [53,]    0    0    1
#>  [54,]    0    1    0
#>  [55,]    1    0    0
#>  [56,]    0    0    1
#>  [57,]    0    1    0
#>  [58,]    1    0    0
#>  [59,]    0    0    1
#>  [60,]    1    0    0
#>  [61,]    0    0    1
#>  [62,]    0    0    1
#>  [63,]    0    1    0
#>  [64,]    1    0    0
#>  [65,]    1    0    0
#>  [66,]    0    1    0
#>  [67,]    0    0    1
#>  [68,]    0    1    0
#>  [69,]    1    0    0
#>  [70,]    0    1    0
#>  [71,]    0    0    1
#>  [72,]    1    0    0
#>  [73,]    0    1    0
#>  [74,]    0    1    0
#>  [75,]    1    0    0
#>  [76,]    0    0    1
#>  [77,]    0    1    0
#>  [78,]    1    0    0
#>  [79,]    1    0    0
#>  [80,]    0    0    1
#>  [81,]    0    1    0
#>  [82,]    0    0    1
#>  [83,]    0    0    1
#>  [84,]    1    0    0
#>  [85,]    1    0    0
#>  [86,]    1    0    0
#>  [87,]    1    0    0
#>  [88,]    0    0    1
#>  [89,]    0    0    1
#>  [90,]    0    0    1
#>  [91,]    0    0    1
#>  [92,]    0    1    0
#>  [93,]    1    0    0
#>  [94,]    0    1    0
#>  [95,]    0    0    1
#>  [96,]    1    0    0
#>  [97,]    0    1    0
#>  [98,]    0    0    1
#>  [99,]    1    0    0
#> [100,]    0    0    1
#> [101,]    0    1    0
#> [102,]    0    1    0
#> [103,]    0    1    0
#> [104,]    0    0    1
#> [105,]    0    0    1
#> [106,]    0    0    1
#> [107,]    1    0    0
#> [108,]    1    0    0
#> [109,]    0    1    0
#> [110,]    1    0    0
#> [111,]    0    0    1
#> [112,]    1    0    0
#> [113,]    1    0    0
#> [114,]    0    1    0
#> [115,]    0    0    1
#> [116,]    0    0    1
#> [117,]    0    1    0
#> [118,]    0    1    0
#> [119,]    0    1    0
#> [120,]    0    0    1
#> 
#> 
#> $networkData
#>        [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>   [1,]    0    1    0    0    0    1    0    1    1     1     0     0     0
#>   [2,]    0    1    1    1    1    1    0    1    1     0     1     0     0
#>   [3,]    1    1    0    1    1    1    1    1    1     1     0     0     1
#>   [4,]    1    1    0    0    1    1    1    1    1     1     0     1     0
#>   [5,]    0    0    1    0    1    1    0    1    1     1     0     0     0
#>   [6,]    0    1    1    0    0    1    0    0    1     1     0     1     1
#>   [7,]    0    0    0    0    1    1    0    1    1     1     0     0     0
#>   [8,]    0    1    0    0    1    1    1    0    1     1     0     0     0
#>   [9,]    0    1    0    0    1    0    0    1    1     1     1     0     0
#>  [10,]    0    1    0    0    1    1    1    1    1     1     1     1     0
#>  [11,]    1    1    0    1    1    1    0    1    1     1     0     0     0
#>  [12,]    0    1    1    0    1    1    1    1    1     1     1     1     1
#>  [13,]    0    1    0    0    1    1    0    1    1     1     0     0     0
#>  [14,]    1    1    0    0    1    0    1    1    0     1     0     0     0
#>  [15,]    1    1    0    0    1    1    0    1    1     1     1     1     1
#>  [16,]    1    1    1    0    1    1    0    1    1     1     1     1     0
#>  [17,]    1    1    0    1    1    1    0    1    1     1     0     0     1
#>  [18,]    0    1    0    0    1    1    0    1    1     1     0     0     1
#>  [19,]    0    0    1    1    1    1    1    1    1     1     0     1     0
#>  [20,]    0    1    0    0    1    1    1    1    1     1     0     1     1
#>  [21,]    0    1    1    1    1    1    0    1    1     1     1     0     0
#>  [22,]    1    1    0    0    1    1    0    1    1     1     1     0     0
#>  [23,]    0    1    0    1    1    1    0    1    1     1     0     0     0
#>  [24,]    0    1    0    0    1    1    1    1    1     1     0     1     0
#>  [25,]    0    1    0    0    1    1    0    1    1     1     0     0     0
#>  [26,]    1    0    1    0    1    1    1    1    1     1     0     0     0
#>  [27,]    0    1    1    0    1    1    0    0    1     1     0     0     0
#>  [28,]    0    1    0    0    1    0    1    1    1     1     0     1     0
#>  [29,]    0    1    0    0    0    1    0    1    0     0     0     0     1
#>  [30,]    1    1    0    0    1    1    0    1    1     1     1     0     0
#>  [31,]    0    0    0    1    1    1    1    0    1     1     0     0     0
#>  [32,]    0    1    0    1    1    0    0    1    1     1     0     0     0
#>  [33,]    1    1    1    0    1    0    0    1    1     1     1     0     1
#>  [34,]    0    1    0    0    1    1    0    1    1     1     0     0     0
#>  [35,]    1    0    1    0    1    1    1    1    1     1     0     1     0
#>  [36,]    0    1    0    0    1    1    1    1    1     1     1     1     1
#>  [37,]    0    1    1    1    1    1    0    1    1     1     1     0     0
#>  [38,]    1    1    1    0    1    1    0    1    1     1     0     1     0
#>  [39,]    1    1    0    0    1    1    0    0    1     1     0     0     0
#>  [40,]    1    0    0    0    1    1    0    1    0     0     0     0     0
#>  [41,]    1    1    0    0    1    1    1    1    1     1     0     0     0
#>  [42,]    0    1    0    0    1    1    0    1    1     0     1     0     0
#>  [43,]    0    1    0    0    1    1    1    1    1     1     1     0     0
#>  [44,]    0    1    1    0    1    1    1    1    1     1     0     1     0
#>  [45,]    1    1    0    1    1    1    1    1    1     1     0     1     1
#>  [46,]    1    1    0    0    1    1    0    1    1     1     0     1     0
#>  [47,]    1    1    0    0    0    1    0    1    1     1     0     0     0
#>  [48,]    1    1    1    1    1    0    1    1    1     1     1     1     1
#>  [49,]    0    1    0    0    0    1    0    1    1     1     0     0     0
#>  [50,]    0    1    0    0    1    1    1    1    1     1     1     0     0
#>  [51,]    1    0    0    0    1    1    0    1    1     1     1     0     0
#>  [52,]    0    1    1    0    1    1    1    1    0     1     0     0     0
#>  [53,]    0    1    0    0    0    1    1    1    1     1     0     0     0
#>  [54,]    0    1    0    1    1    0    1    1    1     1     1     1     0
#>  [55,]    0    1    1    0    1    1    0    1    1     0     0     0     0
#>  [56,]    0    0    0    0    1    1    0    1    1     1     0     1     0
#>  [57,]    0    1    0    1    1    1    0    1    1     1     0     0     1
#>  [58,]    0    1    0    1    1    1    0    1    1     1     0     0     0
#>  [59,]    0    1    0    0    1    1    0    1    1     1     1     1     1
#>  [60,]    0    1    0    1    1    1    0    1    1     1     0     0     1
#>  [61,]    0    1    1    0    1    0    0    1    1     1     0     1     1
#>  [62,]    0    1    0    0    1    1    0    1    1     0     0     1     0
#>  [63,]    1    1    0    0    1    1    0    1    0     1     0     0     0
#>  [64,]    0    1    1    1    0    1    0    0    1     0     0     0     0
#>  [65,]    0    1    1    0    1    1    0    1    1     1     0     1     0
#>  [66,]    0    1    1    0    1    1    0    1    1     1     0     0     0
#>  [67,]    0    1    1    0    1    1    0    1    0     0     1     0     1
#>  [68,]    1    1    0    0    0    1    1    1    0     1     1     1     0
#>  [69,]    0    1    0    0    1    1    1    1    1     1     0     0     0
#>  [70,]    0    1    1    0    1    1    0    1    0     0     1     0     1
#>  [71,]    0    1    0    0    1    1    0    1    1     1     0     0     0
#>  [72,]    0    1    0    1    1    0    0    0    1     1     0     0     0
#>  [73,]    0    0    1    1    1    1    1    1    1     0     1     0     0
#>  [74,]    0    1    1    0    1    1    0    1    0     1     0     0     1
#>  [75,]    0    1    0    0    1    1    0    1    1     1     0     0     0
#>  [76,]    0    1    1    0    0    1    0    1    1     1     0     0     0
#>  [77,]    0    1    1    0    1    1    0    1    1     1     0     0     0
#>  [78,]    0    1    0    0    1    1    0    1    0     1     0     0     0
#>  [79,]    1    1    0    0    1    1    0    1    1     1     0     1     0
#>  [80,]    0    1    0    0    1    1    1    1    0     1     0     1     0
#>  [81,]    1    1    0    1    1    1    0    1    1     1     0     1     1
#>  [82,]    0    1    0    1    1    1    1    1    1     1     0     0     1
#>  [83,]    0    0    0    0    0    1    0    0    1     1     1     0     0
#>  [84,]    0    1    0    1    1    1    1    1    1     1     0     0     0
#>  [85,]    0    1    1    1    1    1    1    1    0     1     0     0     0
#>  [86,]    0    1    0    1    1    1    1    1    1     1     0     0     1
#>  [87,]    1    1    1    0    1    1    1    1    1     1     1     1     1
#>  [88,]    1    1    1    0    1    1    0    1    1     1     1     0     1
#>  [89,]    0    1    0    1    1    1    0    1    0     1     0     0     0
#>  [90,]    0    1    1    0    1    1    0    1    1     1     0     1     0
#>  [91,]    1    1    0    1    1    0    0    0    1     1     1     0     1
#>  [92,]    0    0    0    1    1    1    1    1    1     1     0     0     0
#>  [93,]    0    1    0    1    1    1    0    1    1     0     0     0     0
#>  [94,]    0    1    0    1    1    1    1    1    1     1     1     0     0
#>  [95,]    0    1    1    1    1    1    1    1    0     1     0     0     0
#>  [96,]    0    1    1    0    1    1    0    1    1     1     0     0     0
#>  [97,]    1    1    1    1    1    1    1    1    1     1     1     0     1
#>  [98,]    1    1    0    1    1    1    1    1    0     1     1     0     1
#>  [99,]    0    1    1    0    1    1    0    1    1     1     0     0     0
#> [100,]    1    1    1    1    1    1    0    1    1     1     0     0     1
#>        [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>   [1,]     1     1     1     1     0     1     1     1     0     1     0     0
#>   [2,]     0     0     0     1     1     0     0     0     0     0     0     0
#>   [3,]     1     1     0     1     1     0     1     1     1     1     0     1
#>   [4,]     1     0     1     1     1     0     1     1     1     0     0     0
#>   [5,]     1     1     0     1     1     0     1     1     1     1     1     0
#>   [6,]     0     0     0     1     0     0     0     1     0     1     0     1
#>   [7,]     0     0     0     0     0     1     0     1     0     0     0     0
#>   [8,]     1     0     1     1     0     0     0     1     1     0     1     0
#>   [9,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [10,]     0     0     0     0     0     1     0     1     1     0     0     1
#>  [11,]     0     0     0     1     0     0     0     1     1     1     1     0
#>  [12,]     0     1     1     1     1     0     0     1     1     1     0     0
#>  [13,]     0     0     0     0     1     0     0     1     0     0     0     0
#>  [14,]     1     0     0     1     1     0     1     1     1     1     0     1
#>  [15,]     1     0     0     0     0     1     0     1     1     1     1     0
#>  [16,]     1     1     1     0     1     0     0     1     1     0     0     1
#>  [17,]     0     1     0     1     1     0     1     0     1     0     1     1
#>  [18,]     0     1     0     1     0     1     0     1     0     0     0     1
#>  [19,]     0     0     0     0     0     0     0     1     0     1     1     0
#>  [20,]     1     1     1     0     1     0     0     1     0     0     0     1
#>  [21,]     0     0     0     0     0     0     0     1     1     0     0     0
#>  [22,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [23,]     0     0     0     0     0     1     0     1     0     1     0     0
#>  [24,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [25,]     0     1     0     0     0     0     0     1     0     0     0     0
#>  [26,]     1     0     1     1     0     0     0     1     1     0     0     0
#>  [27,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [28,]     0     0     0     0     0     0     0     1     0     0     0     1
#>  [29,]     0     0     0     0     0     0     1     1     0     0     1     0
#>  [30,]     1     1     0     0     1     0     1     1     0     0     0     0
#>  [31,]     0     0     1     0     0     0     0     1     0     1     0     0
#>  [32,]     0     0     1     0     1     0     1     1     0     0     1     0
#>  [33,]     1     0     1     1     0     0     0     1     0     0     0     1
#>  [34,]     1     1     0     0     0     0     1     1     0     0     1     1
#>  [35,]     0     1     1     0     0     1     0     1     1     1     1     1
#>  [36,]     0     0     1     0     0     0     0     1     1     0     0     1
#>  [37,]     1     1     1     1     0     1     0     1     1     1     1     1
#>  [38,]     0     0     1     0     0     1     0     1     0     0     0     0
#>  [39,]     0     0     1     1     1     0     1     1     0     0     0     1
#>  [40,]     0     0     0     1     0     0     0     1     0     0     0     0
#>  [41,]     1     0     0     1     1     1     0     0     1     1     1     1
#>  [42,]     0     0     0     0     0     1     0     1     0     0     0     1
#>  [43,]     0     0     0     0     0     0     0     0     0     0     0     0
#>  [44,]     0     0     0     0     0     1     0     1     0     0     0     1
#>  [45,]     1     0     1     1     0     0     1     1     0     1     1     1
#>  [46,]     0     0     0     0     0     1     0     1     0     0     1     0
#>  [47,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [48,]     1     1     1     0     0     1     0     0     0     0     1     1
#>  [49,]     1     0     1     1     1     1     1     1     1     0     1     1
#>  [50,]     1     1     1     1     0     0     0     1     1     0     1     1
#>  [51,]     1     0     0     1     0     0     1     1     1     0     0     1
#>  [52,]     1     0     0     0     0     0     0     1     0     0     0     0
#>  [53,]     0     0     0     0     0     1     0     1     0     0     0     1
#>  [54,]     0     0     0     0     0     1     0     1     0     0     0     0
#>  [55,]     0     1     0     0     0     0     0     1     0     0     0     0
#>  [56,]     0     0     0     0     0     1     0     1     1     0     0     0
#>  [57,]     0     0     0     1     0     0     0     1     0     0     0     1
#>  [58,]     1     0     1     1     1     0     0     1     1     0     0     0
#>  [59,]     1     0     1     0     1     1     1     1     1     0     1     0
#>  [60,]     0     1     1     0     0     0     1     1     1     0     1     0
#>  [61,]     1     1     0     1     1     0     0     1     1     1     1     1
#>  [62,]     0     0     0     0     0     0     0     1     0     1     0     0
#>  [63,]     0     0     0     0     0     0     0     1     0     1     0     0
#>  [64,]     0     0     0     0     0     0     1     1     0     1     0     1
#>  [65,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [66,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [67,]     0     0     0     0     0     0     0     1     0     1     1     0
#>  [68,]     0     1     1     0     1     0     1     1     1     0     0     0
#>  [69,]     1     1     0     0     1     0     1     1     0     1     1     0
#>  [70,]     0     0     0     0     0     1     0     1     0     1     0     0
#>  [71,]     0     0     0     0     0     0     0     1     0     1     0     0
#>  [72,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [73,]     1     1     0     1     0     0     0     1     0     0     1     0
#>  [74,]     0     0     1     1     0     0     0     1     1     1     0     0
#>  [75,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [76,]     0     0     0     1     1     0     1     1     0     0     1     1
#>  [77,]     0     0     1     0     1     0     1     1     1     0     1     1
#>  [78,]     1     0     0     0     0     0     0     0     0     0     0     1
#>  [79,]     0     1     0     0     0     0     0     1     0     0     0     0
#>  [80,]     1     0     0     0     0     1     1     1     1     0     1     0
#>  [81,]     0     1     1     0     1     1     1     1     1     0     1     1
#>  [82,]     0     0     1     0     1     0     1     1     1     0     0     1
#>  [83,]     0     0     0     0     0     0     0     1     0     0     0     1
#>  [84,]     0     0     0     0     0     0     0     1     0     0     1     0
#>  [85,]     0     0     1     1     0     1     1     1     0     0     0     0
#>  [86,]     1     1     0     1     0     0     0     1     0     0     1     0
#>  [87,]     1     0     1     1     0     1     1     1     1     0     0     0
#>  [88,]     1     1     0     1     1     1     1     0     0     0     1     0
#>  [89,]     0     0     1     0     0     0     0     1     1     1     0     1
#>  [90,]     0     0     0     0     0     1     1     0     0     0     0     1
#>  [91,]     0     0     1     1     1     0     0     1     1     0     1     1
#>  [92,]     0     0     1     0     0     0     0     1     0     1     0     0
#>  [93,]     0     0     0     0     0     0     1     1     0     0     0     0
#>  [94,]     1     1     1     0     1     0     1     1     1     0     0     0
#>  [95,]     0     0     0     0     0     0     0     1     0     1     0     0
#>  [96,]     0     0     0     0     0     0     0     1     0     0     0     0
#>  [97,]     0     1     1     0     0     0     0     1     0     0     1     0
#>  [98,]     0     0     0     0     1     1     1     1     1     0     0     1
#>  [99,]     0     0     0     0     0     1     0     1     1     0     0     0
#> [100,]     0     1     0     1     0     1     1     1     1     0     1     0
#>        [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>   [1,]     0     1     1     1     0     0     1     0     0     0     0     1
#>   [2,]     0     1     1     1     0     0     1     0     0     0     0     1
#>   [3,]     0     1     0     1     1     1     1     1     0     0     0     1
#>   [4,]     1     1     1     1     0     0     1     0     1     1     0     0
#>   [5,]     0     1     1     1     1     1     1     0     1     1     0     0
#>   [6,]     0     0     0     1     1     0     1     1     0     0     0     0
#>   [7,]     0     1     1     1     1     0     1     0     0     0     1     1
#>   [8,]     0     1     1     1     0     1     1     1     0     1     0     0
#>   [9,]     0     1     1     1     0     0     1     0     0     0     1     0
#>  [10,]     0     1     1     0     0     0     1     0     0     0     0     0
#>  [11,]     0     1     1     1     0     0     1     0     0     1     1     1
#>  [12,]     0     1     1     1     0     0     1     1     1     1     0     1
#>  [13,]     0     1     1     0     1     0     1     0     0     0     1     0
#>  [14,]     0     1     1     1     0     0     1     0     1     0     0     0
#>  [15,]     0     1     1     1     1     0     1     0     0     0     0     1
#>  [16,]     1     1     1     1     1     1     1     0     1     1     0     0
#>  [17,]     1     1     0     1     1     0     1     0     0     1     0     1
#>  [18,]     0     1     1     0     1     1     1     1     0     1     0     0
#>  [19,]     1     0     0     0     0     0     1     0     0     0     0     1
#>  [20,]     0     1     1     1     1     1     1     1     1     1     1     0
#>  [21,]     0     1     0     1     0     1     1     1     0     0     0     0
#>  [22,]     1     1     1     1     0     0     1     0     0     0     1     0
#>  [23,]     0     1     1     0     0     0     1     0     0     0     0     0
#>  [24,]     1     1     1     1     0     1     0     0     0     0     0     0
#>  [25,]     0     0     1     1     1     0     1     0     0     0     0     1
#>  [26,]     1     1     1     1     0     0     1     1     0     1     0     0
#>  [27,]     1     1     0     1     0     1     1     0     1     0     1     0
#>  [28,]     0     0     1     1     0     0     0     0     1     0     1     0
#>  [29,]     0     1     1     1     0     0     1     1     0     0     1     0
#>  [30,]     1     1     1     1     0     0     1     0     1     0     0     1
#>  [31,]     0     1     1     0     0     0     0     1     1     0     0     1
#>  [32,]     0     1     1     1     1     0     1     1     0     1     1     1
#>  [33,]     0     1     1     0     0     0     1     0     0     1     0     1
#>  [34,]     0     1     1     1     0     1     1     0     1     1     1     0
#>  [35,]     1     1     1     1     0     0     1     0     1     0     0     0
#>  [36,]     0     1     1     1     0     1     1     0     0     0     0     0
#>  [37,]     1     0     1     0     1     1     1     1     0     0     0     0
#>  [38,]     1     1     1     1     0     0     1     0     1     0     0     0
#>  [39,]     0     1     1     1     0     1     1     1     1     1     1     0
#>  [40,]     0     1     1     1     0     0     1     1     1     0     0     0
#>  [41,]     0     1     1     1     0     1     1     1     0     1     1     1
#>  [42,]     0     0     0     0     1     0     1     1     0     0     0     0
#>  [43,]     0     1     1     0     0     1     1     0     1     0     0     0
#>  [44,]     1     0     1     0     0     0     1     1     0     0     0     0
#>  [45,]     1     1     1     1     0     0     1     0     1     1     0     0
#>  [46,]     0     1     1     1     0     1     1     1     1     0     0     0
#>  [47,]     0     1     1     0     0     0     1     0     1     0     0     0
#>  [48,]     0     1     1     1     1     1     1     1     0     0     0     0
#>  [49,]     0     1     1     1     0     1     1     0     0     1     1     0
#>  [50,]     0     1     1     1     0     0     1     0     0     0     0     0
#>  [51,]     0     1     1     1     0     1     0     0     0     0     0     1
#>  [52,]     1     1     0     1     0     0     1     0     0     0     0     1
#>  [53,]     0     1     1     1     0     0     1     0     0     0     1     1
#>  [54,]     0     1     1     0     1     0     1     0     0     0     0     0
#>  [55,]     0     0     1     1     0     0     1     0     1     1     0     0
#>  [56,]     1     1     1     1     1     1     1     0     1     0     0     0
#>  [57,]     0     1     1     1     0     0     1     1     0     0     1     0
#>  [58,]     0     0     1     1     0     1     1     1     0     0     0     0
#>  [59,]     1     1     1     1     0     0     0     0     0     0     1     1
#>  [60,]     1     1     1     1     1     1     1     0     0     1     0     0
#>  [61,]     0     1     1     0     0     0     1     1     0     1     1     0
#>  [62,]     0     1     1     1     0     0     1     0     1     0     0     0
#>  [63,]     1     1     0     1     0     0     0     1     0     0     0     1
#>  [64,]     1     1     1     0     0     0     0     1     0     0     0     0
#>  [65,]     0     1     1     1     0     1     1     1     1     0     0     0
#>  [66,]     0     1     1     1     0     0     1     0     0     0     0     0
#>  [67,]     1     1     0     0     0     0     1     0     0     0     0     0
#>  [68,]     1     1     1     1     0     0     1     1     0     1     0     1
#>  [69,]     1     1     1     1     0     0     1     1     0     0     0     1
#>  [70,]     1     1     1     0     0     1     0     0     1     0     0     1
#>  [71,]     1     0     0     1     1     1     1     0     0     1     0     1
#>  [72,]     0     1     0     1     0     1     1     1     0     0     0     0
#>  [73,]     1     0     0     1     0     0     1     0     0     0     0     1
#>  [74,]     0     1     1     1     1     1     1     0     0     0     0     1
#>  [75,]     0     0     1     0     1     0     0     0     0     0     1     0
#>  [76,]     0     1     1     1     0     0     1     1     0     1     0     0
#>  [77,]     0     1     1     1     1     0     1     0     0     0     0     1
#>  [78,]     0     1     1     1     0     0     1     0     1     0     1     1
#>  [79,]     0     1     1     1     0     0     1     0     1     0     0     0
#>  [80,]     1     1     1     1     0     1     0     0     1     0     0     1
#>  [81,]     1     1     1     1     1     1     1     1     0     0     1     1
#>  [82,]     0     1     1     1     0     0     1     0     0     1     0     0
#>  [83,]     1     0     1     1     0     0     0     0     0     0     1     1
#>  [84,]     0     1     1     1     0     0     1     0     1     0     1     0
#>  [85,]     1     1     1     1     0     0     1     0     0     0     1     0
#>  [86,]     0     1     1     1     1     1     1     0     0     0     0     0
#>  [87,]     1     0     0     1     0     0     1     1     0     0     0     1
#>  [88,]     1     1     1     1     0     1     1     0     0     0     0     1
#>  [89,]     1     0     0     1     0     0     0     0     0     0     0     0
#>  [90,]     0     1     1     1     0     0     0     0     0     0     0     0
#>  [91,]     1     1     1     1     0     1     1     0     0     0     0     1
#>  [92,]     0     1     1     1     0     0     1     1     0     0     0     0
#>  [93,]     1     1     1     1     0     1     1     0     1     0     0     0
#>  [94,]     1     1     1     1     0     1     1     0     0     0     0     0
#>  [95,]     1     1     1     0     1     0     1     0     0     1     0     1
#>  [96,]     0     1     1     1     0     1     1     0     1     0     0     1
#>  [97,]     0     1     0     1     0     0     1     0     0     0     1     1
#>  [98,]     1     0     1     1     0     0     1     0     0     0     1     1
#>  [99,]     0     0     1     1     1     0     1     1     0     0     0     0
#> [100,]     1     1     1     1     1     0     1     0     0     0     1     0
#>        [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>   [1,]     1     0     0     1     1     1     0     1     1     1     1     1
#>   [2,]     0     0     0     1     1     0     1     1     0     1     0     1
#>   [3,]     0     0     1     0     1     1     1     1     0     1     0     0
#>   [4,]     1     0     0     0     1     1     1     1     1     1     0     1
#>   [5,]     0     1     0     0     1     1     1     1     1     1     0     1
#>   [6,]     0     0     0     1     1     1     0     0     0     1     1     1
#>   [7,]     1     0     1     0     1     1     1     1     0     1     0     1
#>   [8,]     0     0     0     0     1     1     1     1     1     1     1     1
#>   [9,]     0     0     0     0     1     1     0     1     0     1     0     1
#>  [10,]     1     0     0     0     1     1     0     1     1     1     0     1
#>  [11,]     0     0     0     1     1     1     1     1     0     1     0     1
#>  [12,]     1     0     0     0     0     1     0     1     1     1     0     1
#>  [13,]     0     0     0     0     1     1     0     1     0     0     0     1
#>  [14,]     1     0     0     1     1     1     0     1     1     1     0     1
#>  [15,]     0     1     0     0     1     1     0     1     0     1     0     1
#>  [16,]     0     1     1     1     1     1     0     1     1     1     1     1
#>  [17,]     1     1     1     0     1     1     0     0     1     1     1     1
#>  [18,]     0     0     1     1     1     1     0     1     1     1     0     1
#>  [19,]     0     0     1     0     0     1     0     0     0     1     1     1
#>  [20,]     0     1     0     0     1     1     0     1     0     1     1     1
#>  [21,]     0     0     0     0     1     1     0     1     0     0     0     1
#>  [22,]     0     0     0     0     1     1     1     1     0     1     0     0
#>  [23,]     0     0     1     0     1     1     0     1     0     0     0     1
#>  [24,]     0     0     0     0     0     1     0     1     0     1     0     1
#>  [25,]     0     0     0     0     1     1     1     1     0     1     1     1
#>  [26,]     0     0     1     0     1     1     0     1     0     1     0     1
#>  [27,]     0     0     1     0     1     1     0     1     0     1     0     0
#>  [28,]     0     0     0     0     1     1     0     1     1     1     0     0
#>  [29,]     1     0     0     0     0     1     0     1     0     1     0     1
#>  [30,]     0     0     0     0     1     1     1     1     1     1     1     1
#>  [31,]     1     0     1     0     1     1     1     1     0     1     0     1
#>  [32,]     0     1     0     0     1     1     1     1     0     1     0     1
#>  [33,]     1     0     1     0     1     1     1     1     0     1     0     1
#>  [34,]     1     1     1     0     1     1     0     1     1     1     1     1
#>  [35,]     1     1     1     1     0     1     1     1     0     1     0     1
#>  [36,]     0     1     0     0     1     1     1     1     1     1     0     1
#>  [37,]     1     0     1     0     1     1     0     1     0     1     0     1
#>  [38,]     0     1     1     0     1     1     1     1     0     1     0     1
#>  [39,]     0     1     0     1     1     1     1     1     1     1     1     1
#>  [40,]     0     0     0     0     1     1     0     1     0     0     0     0
#>  [41,]     1     0     0     1     1     1     0     1     1     1     0     1
#>  [42,]     1     0     0     1     1     0     0     0     0     1     0     0
#>  [43,]     0     0     0     0     0     1     0     1     0     1     0     0
#>  [44,]     0     0     0     0     1     1     0     0     0     1     0     1
#>  [45,]     0     1     0     1     1     1     1     1     0     1     1     1
#>  [46,]     1     0     0     0     1     1     0     1     0     1     0     1
#>  [47,]     0     0     0     0     1     1     0     1     1     1     1     0
#>  [48,]     1     1     0     1     1     1     0     1     1     1     0     1
#>  [49,]     0     0     1     0     1     0     0     1     1     1     1     0
#>  [50,]     1     1     1     0     1     1     1     1     1     1     0     1
#>  [51,]     1     1     0     0     1     1     1     1     1     1     0     1
#>  [52,]     0     1     0     0     0     1     0     1     0     0     1     1
#>  [53,]     0     0     0     0     1     1     0     1     0     1     1     1
#>  [54,]     0     0     1     0     1     1     0     0     0     1     0     1
#>  [55,]     0     0     1     0     1     0     0     1     0     0     0     1
#>  [56,]     0     0     0     0     1     1     1     0     0     1     1     1
#>  [57,]     0     0     1     0     1     1     0     1     0     1     0     1
#>  [58,]     1     1     1     1     1     1     1     1     0     1     0     1
#>  [59,]     0     1     1     1     1     1     1     1     0     1     0     1
#>  [60,]     0     0     0     0     1     1     0     1     1     1     1     1
#>  [61,]     0     1     0     0     1     1     1     1     1     1     1     1
#>  [62,]     0     0     0     0     1     1     0     1     0     1     0     1
#>  [63,]     1     0     1     0     1     1     1     1     0     1     0     0
#>  [64,]     0     0     0     1     0     1     0     0     0     1     0     0
#>  [65,]     0     0     0     0     1     1     0     0     0     1     0     1
#>  [66,]     0     1     0     0     1     1     0     1     0     0     0     1
#>  [67,]     0     0     1     0     1     1     0     1     0     1     1     1
#>  [68,]     1     0     0     1     1     1     1     1     1     1     1     1
#>  [69,]     1     1     0     1     1     1     1     1     1     1     0     1
#>  [70,]     1     0     0     0     1     1     0     1     0     1     0     1
#>  [71,]     0     0     0     0     1     1     0     1     0     0     0     1
#>  [72,]     0     0     0     0     1     1     0     1     0     1     0     1
#>  [73,]     0     1     0     1     0     1     1     1     1     1     1     1
#>  [74,]     1     1     1     1     1     1     1     1     0     1     0     1
#>  [75,]     0     0     0     0     1     1     0     1     0     0     1     1
#>  [76,]     0     1     1     0     1     1     1     1     0     0     1     1
#>  [77,]     0     1     1     1     1     1     1     1     0     0     0     0
#>  [78,]     1     0     0     0     1     1     0     1     0     1     1     1
#>  [79,]     0     0     0     0     1     1     0     1     0     1     0     0
#>  [80,]     0     0     0     0     1     0     0     1     1     0     0     0
#>  [81,]     0     0     0     0     1     1     1     1     1     1     1     1
#>  [82,]     1     0     0     1     1     1     1     1     0     1     1     1
#>  [83,]     0     0     1     0     1     1     1     1     0     0     0     1
#>  [84,]     0     0     0     0     1     1     0     1     0     1     0     1
#>  [85,]     0     0     0     0     1     1     1     1     0     1     0     1
#>  [86,]     0     1     1     0     1     1     0     1     1     1     0     1
#>  [87,]     1     1     1     0     1     1     0     1     0     1     0     1
#>  [88,]     0     0     1     1     1     1     1     1     1     1     1     1
#>  [89,]     0     0     0     0     1     1     0     1     0     1     0     1
#>  [90,]     0     0     1     0     1     1     0     1     0     1     0     1
#>  [91,]     1     1     0     0     1     1     1     1     1     1     0     0
#>  [92,]     0     0     0     0     0     1     1     0     0     1     0     1
#>  [93,]     0     0     0     0     1     1     0     0     0     1     0     1
#>  [94,]     1     1     0     0     0     1     0     1     1     1     0     1
#>  [95,]     1     0     0     0     1     1     0     1     0     1     1     1
#>  [96,]     1     1     1     1     1     1     0     1     0     1     0     1
#>  [97,]     1     1     0     1     1     1     1     1     1     1     1     1
#>  [98,]     0     0     1     0     1     1     0     1     0     1     0     1
#>  [99,]     0     0     0     0     1     1     0     0     0     1     0     1
#> [100,]     0     0     0     1     0     1     1     1     0     1     0     1
#>        [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>   [1,]     0     1     0     0     0     1     0     1     1     0     1     0
#>   [2,]     0     1     1     0     0     1     0     0     0     0     1     0
#>   [3,]     1     1     1     0     0     1     0     0     1     0     1     1
#>   [4,]     0     0     1     0     0     1     0     1     1     0     1     0
#>   [5,]     0     1     0     0     1     1     0     1     1     1     1     0
#>   [6,]     0     1     0     0     0     1     0     0     1     1     1     0
#>   [7,]     0     1     0     1     0     1     0     0     1     0     1     1
#>   [8,]     1     1     1     1     1     1     1     1     1     0     1     0
#>   [9,]     0     1     0     0     0     1     0     0     1     1     1     0
#>  [10,]     1     1     0     1     0     1     0     0     1     0     1     0
#>  [11,]     0     1     0     0     0     1     1     1     1     0     1     0
#>  [12,]     1     1     1     0     0     1     0     1     1     1     1     1
#>  [13,]     0     0     0     0     0     1     0     0     1     0     1     1
#>  [14,]     0     1     1     1     0     1     0     1     1     0     1     1
#>  [15,]     0     1     0     0     1     1     1     0     1     0     1     1
#>  [16,]     1     1     0     1     0     1     0     1     1     1     1     0
#>  [17,]     0     1     0     0     1     1     0     1     1     0     0     1
#>  [18,]     1     1     1     1     0     0     0     1     1     0     1     0
#>  [19,]     1     1     0     0     0     0     0     0     1     0     1     0
#>  [20,]     0     1     0     0     0     1     0     1     1     0     1     0
#>  [21,]     0     1     0     1     0     1     1     0     1     0     1     0
#>  [22,]     0     1     0     0     0     1     0     0     1     0     1     1
#>  [23,]     0     1     0     1     0     1     1     0     1     0     1     1
#>  [24,]     0     1     0     1     0     1     0     0     1     1     1     0
#>  [25,]     0     1     0     0     0     1     0     0     1     0     1     1
#>  [26,]     0     1     0     0     1     1     0     1     1     0     1     1
#>  [27,]     0     1     0     1     0     1     0     0     1     0     1     1
#>  [28,]     1     1     0     1     0     1     1     0     1     0     1     0
#>  [29,]     0     1     0     0     1     1     0     0     1     0     1     0
#>  [30,]     0     1     1     0     0     1     0     1     1     0     1     1
#>  [31,]     0     0     0     1     1     1     0     1     1     0     1     0
#>  [32,]     1     1     1     1     0     1     1     1     1     1     1     0
#>  [33,]     0     0     0     0     0     1     0     0     0     0     1     0
#>  [34,]     0     1     0     0     1     1     0     1     1     0     1     1
#>  [35,]     0     1     1     1     1     0     0     1     1     0     1     1
#>  [36,]     0     1     1     0     1     1     1     0     1     0     0     0
#>  [37,]     0     1     1     1     1     1     0     0     1     1     1     0
#>  [38,]     0     1     0     1     1     1     0     1     1     1     1     0
#>  [39,]     1     1     1     0     0     1     1     0     1     1     1     0
#>  [40,]     0     1     0     1     0     1     1     0     1     1     0     0
#>  [41,]     1     1     1     1     1     1     0     0     0     0     1     1
#>  [42,]     0     1     0     0     0     1     1     0     1     1     1     0
#>  [43,]     1     1     0     0     0     1     0     0     1     1     1     0
#>  [44,]     0     1     0     0     0     0     1     0     1     0     1     0
#>  [45,]     1     1     0     0     1     1     1     0     1     1     1     0
#>  [46,]     1     1     0     1     0     1     0     0     1     0     1     0
#>  [47,]     0     1     0     0     0     1     0     0     1     1     1     0
#>  [48,]     1     0     1     1     0     1     1     0     0     1     1     1
#>  [49,]     0     1     0     0     0     1     1     1     1     1     1     0
#>  [50,]     1     1     1     0     0     1     0     1     1     1     1     1
#>  [51,]     0     1     0     0     1     1     0     0     1     0     1     1
#>  [52,]     0     1     0     1     0     1     0     0     1     0     0     1
#>  [53,]     1     0     0     1     0     1     0     0     1     0     1     0
#>  [54,]     1     1     0     1     0     1     0     0     1     0     1     0
#>  [55,]     0     1     0     1     0     1     0     0     1     0     1     1
#>  [56,]     0     1     0     0     0     1     0     0     1     0     1     0
#>  [57,]     0     1     0     0     0     1     0     0     1     0     0     0
#>  [58,]     0     1     1     1     1     1     0     0     0     0     1     1
#>  [59,]     0     0     0     0     1     1     0     0     1     1     0     0
#>  [60,]     1     1     0     0     1     0     1     0     0     0     1     1
#>  [61,]     0     1     1     0     0     1     0     1     1     0     1     0
#>  [62,]     0     1     1     0     0     1     0     0     1     0     1     0
#>  [63,]     0     1     0     1     0     1     0     0     1     0     1     0
#>  [64,]     0     1     0     1     0     1     1     0     1     0     1     1
#>  [65,]     0     1     0     0     0     1     1     0     1     1     1     0
#>  [66,]     0     1     0     0     0     0     1     0     0     0     1     0
#>  [67,]     1     1     0     0     1     1     0     0     0     0     1     0
#>  [68,]     0     1     0     0     1     1     0     1     1     1     1     0
#>  [69,]     1     1     1     0     1     1     1     1     1     0     1     0
#>  [70,]     1     0     0     1     0     1     0     0     1     1     1     0
#>  [71,]     0     1     0     0     0     1     0     0     1     0     1     0
#>  [72,]     0     0     0     0     0     1     0     0     1     1     1     1
#>  [73,]     0     1     1     0     0     1     0     1     0     0     1     0
#>  [74,]     1     0     1     0     1     1     1     1     0     1     1     1
#>  [75,]     0     1     0     1     1     1     0     0     0     0     1     1
#>  [76,]     1     1     1     0     0     1     0     0     1     1     1     0
#>  [77,]     1     1     1     0     0     1     1     0     1     0     1     1
#>  [78,]     0     1     0     0     0     1     0     0     1     0     1     0
#>  [79,]     0     1     0     1     0     1     0     0     1     0     1     1
#>  [80,]     0     1     1     0     0     0     0     1     1     1     1     0
#>  [81,]     0     0     0     1     0     1     1     1     1     0     1     1
#>  [82,]     1     1     0     1     1     0     0     0     1     0     1     0
#>  [83,]     1     0     0     0     0     1     0     0     1     0     1     0
#>  [84,]     0     1     0     0     0     1     0     0     1     0     1     1
#>  [85,]     0     1     0     0     1     1     1     1     1     0     1     0
#>  [86,]     0     0     0     0     1     1     1     0     1     0     1     0
#>  [87,]     0     1     1     0     1     1     1     1     1     1     1     0
#>  [88,]     0     1     1     1     1     1     0     1     0     1     1     1
#>  [89,]     0     1     1     0     0     1     0     0     0     0     1     0
#>  [90,]     0     0     0     0     0     1     1     0     0     1     1     0
#>  [91,]     0     1     1     1     0     1     0     0     1     0     1     0
#>  [92,]     0     1     0     0     0     1     0     0     0     0     1     0
#>  [93,]     0     1     0     1     0     1     1     0     1     0     1     1
#>  [94,]     1     1     0     0     1     1     0     1     1     0     1     0
#>  [95,]     0     1     0     0     0     1     1     0     1     0     0     0
#>  [96,]     0     0     0     0     0     1     1     0     1     0     1     0
#>  [97,]     0     1     0     0     0     1     0     1     1     0     1     1
#>  [98,]     0     1     0     0     0     1     0     0     1     0     1     1
#>  [99,]     0     1     0     1     0     0     0     0     0     1     1     0
#> [100,]     0     1     1     1     0     1     1     1     1     0     1     0
#>        [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#>   [1,]     1     0     1     1     0     0     0     1     0     0     1     1
#>   [2,]     0     0     0     1     0     0     0     1     0     0     1     0
#>   [3,]     0     1     1     1     0     1     1     1     1     0     1     1
#>   [4,]     0     1     1     1     1     1     1     1     1     0     1     0
#>   [5,]     0     0     1     1     0     1     0     1     0     0     1     1
#>   [6,]     0     0     0     0     0     1     0     1     1     0     1     0
#>   [7,]     1     1     0     1     0     0     0     1     0     0     1     0
#>   [8,]     0     1     1     1     1     0     0     1     0     0     1     1
#>   [9,]     0     0     0     1     0     0     0     1     0     0     1     0
#>  [10,]     0     0     1     1     0     0     0     1     0     1     1     1
#>  [11,]     1     0     1     0     0     0     0     1     0     0     1     0
#>  [12,]     0     1     1     0     1     0     0     1     0     0     1     1
#>  [13,]     0     0     1     1     0     0     0     1     0     0     1     0
#>  [14,]     0     0     1     1     1     0     0     1     0     0     1     0
#>  [15,]     1     0     1     1     1     1     0     1     1     0     1     1
#>  [16,]     0     0     1     1     0     1     1     1     0     0     1     1
#>  [17,]     0     1     1     1     1     0     1     0     0     0     1     0
#>  [18,]     0     1     1     1     1     1     1     1     0     1     1     1
#>  [19,]     1     0     1     1     0     0     0     1     0     1     1     0
#>  [20,]     0     1     1     1     0     0     1     1     1     1     1     0
#>  [21,]     1     0     1     1     0     0     1     1     0     0     1     0
#>  [22,]     0     0     1     1     0     1     0     1     1     0     1     0
#>  [23,]     0     0     1     1     0     1     1     1     0     0     1     0
#>  [24,]     0     0     1     1     0     0     0     1     0     1     1     0
#>  [25,]     1     0     1     1     0     0     0     1     0     0     0     0
#>  [26,]     0     0     1     1     0     1     1     1     1     0     1     1
#>  [27,]     0     0     1     0     0     0     0     1     0     0     1     0
#>  [28,]     0     1     1     1     0     1     0     1     0     1     1     0
#>  [29,]     1     0     1     1     0     0     0     1     0     0     1     0
#>  [30,]     0     1     1     1     0     1     1     1     0     0     1     0
#>  [31,]     1     1     1     1     1     1     0     1     1     1     1     0
#>  [32,]     0     1     1     1     0     0     1     1     1     0     1     1
#>  [33,]     0     1     1     1     0     1     1     1     0     0     1     1
#>  [34,]     0     1     1     1     0     0     0     1     1     0     1     1
#>  [35,]     0     1     1     1     1     1     0     1     1     0     0     1
#>  [36,]     1     1     1     1     0     1     1     1     1     0     1     1
#>  [37,]     0     0     1     1     1     0     0     1     1     0     1     0
#>  [38,]     0     1     1     1     1     0     1     1     1     0     1     1
#>  [39,]     1     0     1     1     0     0     0     1     0     1     0     1
#>  [40,]     1     1     1     1     0     0     0     0     1     0     1     0
#>  [41,]     0     0     1     1     1     1     0     1     0     1     1     0
#>  [42,]     1     0     1     1     0     1     0     1     0     0     0     1
#>  [43,]     0     0     1     0     0     0     0     0     0     1     0     0
#>  [44,]     0     1     1     1     0     0     0     1     0     0     1     0
#>  [45,]     1     1     1     1     1     1     0     1     0     0     1     1
#>  [46,]     0     0     1     0     0     0     0     0     0     0     1     1
#>  [47,]     1     0     0     1     0     1     0     1     0     1     1     0
#>  [48,]     0     1     1     0     0     1     1     1     1     0     1     1
#>  [49,]     1     0     1     1     0     0     1     1     0     0     1     0
#>  [50,]     0     1     1     0     1     0     1     1     1     0     1     0
#>  [51,]     1     1     1     1     1     1     0     1     1     1     1     1
#>  [52,]     1     0     1     1     1     1     0     1     0     0     1     0
#>  [53,]     0     0     1     1     0     1     0     1     0     1     0     0
#>  [54,]     0     0     0     1     0     0     0     0     0     0     0     0
#>  [55,]     0     0     1     1     0     0     0     1     0     0     0     0
#>  [56,]     1     0     0     1     0     1     0     1     0     1     1     0
#>  [57,]     1     0     1     1     0     0     0     0     0     1     1     0
#>  [58,]     0     1     1     1     1     1     0     1     0     0     1     1
#>  [59,]     0     1     1     1     1     0     1     1     1     1     1     1
#>  [60,]     1     0     1     1     1     0     0     1     1     1     1     1
#>  [61,]     1     1     1     1     1     0     0     1     0     0     1     1
#>  [62,]     1     0     0     0     0     0     0     1     0     0     1     0
#>  [63,]     0     0     1     1     0     0     0     1     0     1     1     0
#>  [64,]     0     0     0     0     0     0     0     1     0     1     1     0
#>  [65,]     0     0     0     1     0     0     0     1     0     0     1     0
#>  [66,]     0     0     0     1     1     1     0     1     0     1     1     0
#>  [67,]     1     0     1     1     0     1     0     1     0     0     1     0
#>  [68,]     0     1     1     1     1     1     1     1     0     0     1     0
#>  [69,]     0     0     1     1     1     1     1     1     1     0     1     0
#>  [70,]     1     0     1     1     0     0     0     0     0     0     1     0
#>  [71,]     1     0     1     0     0     1     0     1     0     0     1     0
#>  [72,]     1     0     1     1     0     0     0     0     0     1     1     0
#>  [73,]     0     0     1     1     0     1     0     1     0     1     1     1
#>  [74,]     0     1     0     1     1     0     1     1     1     1     1     0
#>  [75,]     0     0     0     1     0     1     0     1     0     0     1     0
#>  [76,]     0     0     1     1     0     0     1     1     0     0     1     1
#>  [77,]     0     1     0     1     1     0     1     1     1     0     1     0
#>  [78,]     1     0     1     1     0     0     0     1     0     0     1     0
#>  [79,]     1     0     1     0     0     0     0     0     0     0     1     0
#>  [80,]     1     0     1     1     0     0     1     1     1     0     1     1
#>  [81,]     0     1     1     1     1     0     0     0     1     0     1     1
#>  [82,]     0     1     1     0     1     0     1     1     1     0     1     1
#>  [83,]     1     0     0     0     0     1     0     1     0     1     0     0
#>  [84,]     1     0     1     1     0     0     0     1     1     0     1     0
#>  [85,]     0     0     1     1     1     0     1     1     0     0     1     0
#>  [86,]     0     1     1     1     0     1     1     0     0     0     0     0
#>  [87,]     1     1     1     1     1     0     0     1     0     0     1     0
#>  [88,]     1     0     1     1     1     1     1     1     1     0     1     0
#>  [89,]     0     0     0     1     0     0     0     1     0     1     1     0
#>  [90,]     1     1     1     1     0     1     0     0     0     0     1     0
#>  [91,]     0     1     1     1     0     0     0     1     0     1     1     0
#>  [92,]     0     0     0     1     0     0     0     1     0     0     1     0
#>  [93,]     0     0     1     1     0     0     0     1     0     0     1     0
#>  [94,]     1     0     1     1     0     1     0     1     0     0     1     0
#>  [95,]     1     0     1     1     0     0     0     1     0     0     1     0
#>  [96,]     0     0     1     1     0     0     0     1     0     1     0     0
#>  [97,]     1     0     1     1     0     0     1     1     0     0     1     0
#>  [98,]     0     1     1     1     0     0     1     1     1     1     1     0
#>  [99,]     0     0     0     1     0     1     0     1     0     0     1     0
#> [100,]     0     0     1     1     1     1     1     1     0     1     1     0
#>        [,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
#>   [1,]     0     1     1     1     1     1     0     1     0     1     1     1
#>   [2,]     0     1     1     1     1     1     0     0     0     1     1     0
#>   [3,]     0     1     1     1     1     1     0     0     0     0     1     1
#>   [4,]     0     1     1     1     0     1     1     0     0     0     1     1
#>   [5,]     0     1     0     0     1     1     1     0     0     0     1     1
#>   [6,]     0     1     0     0     1     1     0     0     1     1     0     0
#>   [7,]     0     0     0     0     1     1     1     0     0     0     1     1
#>   [8,]     1     1     0     1     1     0     1     1     0     1     1     1
#>   [9,]     0     1     1     0     1     1     0     0     0     0     1     0
#>  [10,]     0     1     0     0     1     1     1     0     0     0     1     1
#>  [11,]     0     1     0     1     1     1     1     1     1     1     1     1
#>  [12,]     1     1     0     1     1     1     0     0     0     1     0     1
#>  [13,]     0     0     0     0     1     1     1     0     1     1     1     1
#>  [14,]     1     1     1     0     0     1     0     0     0     1     0     1
#>  [15,]     0     1     1     1     1     1     1     0     0     0     1     1
#>  [16,]     1     1     0     1     1     1     0     0     1     1     1     1
#>  [17,]     1     1     1     1     1     0     0     1     0     1     1     1
#>  [18,]     0     1     0     1     1     1     0     1     0     0     1     1
#>  [19,]     0     0     0     1     1     1     0     0     0     1     1     1
#>  [20,]     1     1     0     0     1     1     1     0     0     0     1     0
#>  [21,]     0     1     0     0     1     1     0     0     1     1     1     1
#>  [22,]     0     1     0     0     1     0     0     0     1     0     1     0
#>  [23,]     1     1     0     0     1     1     0     0     0     0     1     1
#>  [24,]     0     1     0     0     1     1     1     0     0     0     1     1
#>  [25,]     0     1     0     0     1     0     1     0     0     0     0     0
#>  [26,]     1     1     0     1     0     1     0     1     0     0     1     1
#>  [27,]     1     1     1     0     1     1     0     0     0     0     1     1
#>  [28,]     0     1     0     0     1     0     0     0     0     0     1     0
#>  [29,]     0     1     1     0     1     1     0     0     1     0     1     1
#>  [30,]     0     1     1     0     1     1     1     0     1     0     1     1
#>  [31,]     1     1     1     1     1     1     0     0     0     1     1     1
#>  [32,]     1     1     1     0     1     1     0     0     1     0     1     1
#>  [33,]     1     0     0     1     1     1     1     1     1     1     1     1
#>  [34,]     0     1     0     0     1     1     1     0     0     0     1     1
#>  [35,]     0     1     1     1     1     1     0     0     0     0     1     1
#>  [36,]     1     1     1     1     1     1     0     0     0     1     1     1
#>  [37,]     0     1     0     1     1     0     1     1     0     0     1     1
#>  [38,]     1     1     1     0     1     1     1     0     0     1     1     1
#>  [39,]     1     1     0     0     1     1     0     1     0     0     1     0
#>  [40,]     1     1     0     0     1     0     0     0     0     0     0     0
#>  [41,]     1     1     0     1     0     1     1     0     0     0     1     1
#>  [42,]     0     0     1     0     1     1     1     0     1     0     1     1
#>  [43,]     0     1     0     0     1     0     0     0     1     0     1     1
#>  [44,]     0     1     0     0     1     0     1     0     1     0     1     1
#>  [45,]     1     1     0     0     1     1     1     0     1     1     1     1
#>  [46,]     0     1     0     0     1     0     0     0     0     0     1     1
#>  [47,]     0     1     1     0     1     1     1     0     0     0     0     1
#>  [48,]     1     1     0     0     1     1     0     0     0     1     1     1
#>  [49,]     1     1     0     1     1     0     0     0     0     1     0     1
#>  [50,]     1     1     1     0     1     0     0     0     1     1     1     1
#>  [51,]     0     0     0     1     1     1     0     0     0     0     0     1
#>  [52,]     0     1     1     0     1     1     0     0     0     1     1     1
#>  [53,]     0     1     0     0     1     1     1     0     0     1     1     1
#>  [54,]     0     0     0     1     1     1     0     0     0     0     1     1
#>  [55,]     0     1     0     0     1     1     1     0     0     1     1     1
#>  [56,]     0     0     1     0     1     1     1     1     0     0     0     0
#>  [57,]     0     1     0     0     0     1     0     0     0     0     1     1
#>  [58,]     1     1     0     0     1     1     0     1     0     1     1     1
#>  [59,]     1     1     1     1     1     1     0     0     0     1     1     1
#>  [60,]     0     1     1     1     1     1     0     1     1     1     1     1
#>  [61,]     0     1     1     1     1     1     1     1     0     1     1     1
#>  [62,]     0     1     1     0     1     1     1     0     1     0     0     1
#>  [63,]     0     1     0     1     1     1     1     1     0     1     1     1
#>  [64,]     0     0     0     0     1     1     0     1     0     0     1     1
#>  [65,]     0     1     0     0     1     1     0     0     1     1     1     1
#>  [66,]     0     1     0     0     1     1     0     0     1     0     1     0
#>  [67,]     1     0     0     0     1     1     1     0     0     0     1     1
#>  [68,]     0     1     0     1     1     1     0     1     0     0     1     1
#>  [69,]     1     1     0     1     0     1     1     0     0     1     1     1
#>  [70,]     0     0     0     0     1     1     0     0     0     0     1     1
#>  [71,]     0     1     0     0     0     0     0     0     0     1     1     1
#>  [72,]     0     1     0     0     1     1     1     0     0     0     1     1
#>  [73,]     1     1     0     0     1     1     0     1     0     0     1     1
#>  [74,]     0     1     0     1     1     1     0     1     0     0     1     0
#>  [75,]     0     1     1     0     1     1     0     1     1     1     1     1
#>  [76,]     0     1     0     0     1     1     1     1     0     0     1     1
#>  [77,]     0     1     0     1     1     1     0     1     0     0     1     0
#>  [78,]     0     1     0     0     0     1     0     0     0     0     0     1
#>  [79,]     1     1     0     0     1     1     0     0     0     1     1     1
#>  [80,]     0     1     1     0     1     1     1     0     0     0     1     1
#>  [81,]     1     1     1     1     1     1     1     0     1     0     1     1
#>  [82,]     0     1     0     1     1     1     1     1     0     1     1     1
#>  [83,]     0     1     0     0     1     1     1     0     0     1     1     0
#>  [84,]     0     1     1     0     1     1     0     0     1     0     1     1
#>  [85,]     0     1     1     1     1     0     0     0     1     1     1     1
#>  [86,]     0     1     0     0     1     1     0     1     1     1     1     1
#>  [87,]     0     0     0     0     1     1     1     1     0     0     1     1
#>  [88,]     1     1     0     1     1     1     0     0     1     0     1     1
#>  [89,]     0     1     1     0     1     1     0     0     0     0     1     0
#>  [90,]     0     1     0     0     1     0     0     0     0     0     1     1
#>  [91,]     0     1     0     0     1     1     0     1     0     1     1     1
#>  [92,]     0     1     0     0     0     1     0     0     0     0     1     1
#>  [93,]     0     1     0     0     1     1     0     0     0     0     1     1
#>  [94,]     0     1     1     0     1     1     1     0     0     0     1     1
#>  [95,]     0     1     1     0     1     1     0     0     0     0     1     1
#>  [96,]     0     1     0     0     1     1     0     0     0     0     1     1
#>  [97,]     1     1     0     1     0     1     1     0     1     0     0     1
#>  [98,]     0     1     0     0     1     1     0     0     0     1     1     1
#>  [99,]     1     0     0     0     1     1     0     0     0     0     0     0
#> [100,]     1     0     0     1     1     1     1     1     0     1     1     1
#>        [,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
#>   [1,]     1     1     1     0     1     1     1     1     1     0     1     1
#>   [2,]     1     1     0     0     1     0     0     1     0     0     1     0
#>   [3,]     1     1     0     0     0     0     1     1     0     0     1     1
#>   [4,]     1     1     0     0     1     0     0     1     0     0     1     1
#>   [5,]     1     1     0     0     1     0     0     1     0     1     1     0
#>   [6,]     1     1     0     0     0     0     0     0     1     1     1     0
#>   [7,]     1     1     0     1     0     0     0     1     0     0     1     0
#>   [8,]     1     1     0     0     1     1     0     1     0     0     1     1
#>   [9,]     1     1     0     0     0     0     0     1     0     1     1     0
#>  [10,]     1     1     1     1     0     0     0     1     0     1     1     0
#>  [11,]     1     1     0     0     1     1     1     1     0     0     1     1
#>  [12,]     1     1     1     1     0     0     1     1     1     0     1     1
#>  [13,]     1     1     0     0     0     1     0     1     0     1     1     1
#>  [14,]     1     1     0     1     0     0     1     1     0     0     1     1
#>  [15,]     1     1     1     1     0     1     0     1     1     1     1     1
#>  [16,]     1     1     1     0     0     0     0     1     1     1     1     1
#>  [17,]     1     1     0     0     0     1     1     1     1     1     1     0
#>  [18,]     1     1     1     1     0     0     1     0     1     0     1     0
#>  [19,]     1     1     0     0     0     1     0     1     0     1     1     0
#>  [20,]     1     1     1     0     0     1     1     1     1     1     1     1
#>  [21,]     1     1     1     0     1     0     0     1     0     0     1     0
#>  [22,]     1     1     0     0     0     0     0     1     0     1     1     0
#>  [23,]     1     1     0     0     0     0     1     0     0     0     1     0
#>  [24,]     1     1     0     1     0     0     0     0     0     1     1     0
#>  [25,]     1     1     0     1     0     0     0     1     0     0     1     0
#>  [26,]     1     1     0     0     0     0     0     0     1     1     0     1
#>  [27,]     1     1     0     0     1     0     0     1     0     0     1     0
#>  [28,]     0     1     0     0     1     0     0     0     0     1     1     0
#>  [29,]     1     1     0     0     0     0     0     1     1     0     1     0
#>  [30,]     0     1     0     1     0     0     1     1     1     0     1     0
#>  [31,]     1     0     0     0     0     0     1     1     1     1     1     0
#>  [32,]     1     1     0     0     0     1     0     1     0     0     1     0
#>  [33,]     0     1     1     1     0     0     0     1     0     0     1     0
#>  [34,]     1     1     0     0     0     0     1     1     0     0     0     1
#>  [35,]     1     1     1     0     0     1     0     1     0     0     1     0
#>  [36,]     1     1     1     1     0     0     1     1     1     1     1     0
#>  [37,]     1     1     0     0     0     0     1     0     1     1     1     0
#>  [38,]     1     1     0     0     1     1     0     1     0     0     1     1
#>  [39,]     1     1     0     0     0     0     1     1     1     0     1     1
#>  [40,]     1     1     0     0     0     0     0     1     0     0     1     0
#>  [41,]     1     0     0     0     0     1     1     1     1     0     1     0
#>  [42,]     1     0     0     0     0     1     0     1     0     0     0     0
#>  [43,]     1     1     0     0     0     0     0     1     0     0     1     0
#>  [44,]     0     1     0     0     0     0     0     1     0     0     0     0
#>  [45,]     1     1     0     1     0     0     0     0     0     0     1     0
#>  [46,]     1     0     0     0     0     0     0     1     0     0     0     0
#>  [47,]     1     0     0     1     0     1     0     1     0     0     1     0
#>  [48,]     1     1     1     0     1     0     0     1     1     1     1     0
#>  [49,]     1     1     0     1     1     0     0     1     0     0     1     0
#>  [50,]     1     1     1     1     0     1     1     1     0     0     1     0
#>  [51,]     1     1     0     0     1     0     0     1     0     0     1     1
#>  [52,]     1     1     0     0     1     1     0     1     0     0     1     1
#>  [53,]     1     1     0     1     0     0     0     1     0     0     1     0
#>  [54,]     1     1     0     0     0     0     0     1     0     1     1     0
#>  [55,]     1     1     0     0     1     1     0     0     0     0     1     0
#>  [56,]     1     1     1     0     0     0     1     0     0     1     1     0
#>  [57,]     1     1     0     0     0     0     1     1     0     0     1     0
#>  [58,]     1     1     0     0     0     1     1     1     1     0     1     0
#>  [59,]     1     1     0     0     0     0     1     0     1     1     1     1
#>  [60,]     1     1     0     0     0     0     1     1     0     0     1     1
#>  [61,]     1     1     0     1     0     0     0     1     1     0     1     0
#>  [62,]     1     1     0     0     0     0     0     1     0     0     1     0
#>  [63,]     1     0     0     0     0     1     0     1     0     1     1     0
#>  [64,]     0     1     0     0     0     1     0     1     0     0     1     0
#>  [65,]     0     1     0     0     1     0     0     1     0     0     1     0
#>  [66,]     1     1     0     0     0     0     0     1     0     0     0     0
#>  [67,]     0     1     0     0     1     0     0     1     1     1     1     0
#>  [68,]     1     1     0     1     1     0     1     1     0     1     1     1
#>  [69,]     1     1     1     1     0     1     0     1     1     1     1     1
#>  [70,]     1     0     0     0     0     0     0     1     0     1     1     0
#>  [71,]     1     1     0     0     1     0     0     1     0     0     1     0
#>  [72,]     1     1     0     0     1     0     0     1     0     0     0     0
#>  [73,]     1     1     0     0     0     0     0     1     0     1     1     1
#>  [74,]     1     1     0     0     1     0     1     0     0     0     1     1
#>  [75,]     0     1     0     0     1     0     0     1     0     0     0     1
#>  [76,]     1     1     0     0     0     1     1     0     0     0     1     1
#>  [77,]     1     0     0     0     1     0     0     1     1     0     1     0
#>  [78,]     0     1     0     0     1     1     0     1     0     0     1     1
#>  [79,]     1     1     0     0     0     1     0     1     0     0     1     0
#>  [80,]     0     1     1     1     0     0     1     0     0     1     1     0
#>  [81,]     1     0     0     0     0     0     0     1     0     1     1     0
#>  [82,]     1     1     1     0     0     0     1     1     1     0     1     0
#>  [83,]     1     1     0     1     1     1     0     1     0     0     1     0
#>  [84,]     1     1     0     0     0     0     0     1     0     0     1     0
#>  [85,]     1     1     0     0     1     0     1     1     1     1     1     1
#>  [86,]     1     0     0     1     0     1     0     1     1     0     1     0
#>  [87,]     1     1     0     1     0     0     1     1     1     1     1     0
#>  [88,]     1     1     0     0     1     1     1     0     0     0     1     1
#>  [89,]     1     0     0     0     0     0     0     1     0     0     1     0
#>  [90,]     1     1     0     1     0     1     0     1     0     0     0     0
#>  [91,]     1     1     0     1     0     0     0     1     0     1     1     1
#>  [92,]     1     1     0     0     0     1     0     1     0     0     1     0
#>  [93,]     1     1     1     0     0     1     0     1     0     0     1     0
#>  [94,]     1     0     0     0     0     1     0     1     1     0     1     1
#>  [95,]     1     1     0     0     0     0     0     1     0     0     1     0
#>  [96,]     1     1     0     0     0     0     0     0     1     1     1     0
#>  [97,]     1     1     0     0     0     1     1     1     0     1     1     1
#>  [98,]     1     1     0     0     0     0     1     1     1     0     1     0
#>  [99,]     1     1     1     1     0     0     1     1     0     1     1     0
#> [100,]     0     1     1     0     0     1     1     1     0     1     1     0
#>        [,98] [,99] [,100] [,101] [,102] [,103] [,104] [,105] [,106] [,107]
#>   [1,]     0     1      1      1      1      1      0      0      0      1
#>   [2,]     1     0      1      0      0      0      0      1      0      1
#>   [3,]     0     1      1      0      1      0      1      1      0      1
#>   [4,]     0     1      1      1      0      1      1      0      0      1
#>   [5,]     0     1      0      1      1      0      0      1      1      1
#>   [6,]     0     1      0      0      0      1      0      0      0      1
#>   [7,]     0     1      0      0      0      0      0      0      0      1
#>   [8,]     0     0      0      0      1      1      1      1      0      1
#>   [9,]     0     1      0      0      0      1      1      0      0      1
#>  [10,]     0     0      0      0      0      0      0      0      0      0
#>  [11,]     0     1      0      0      0      0      0      0      0      1
#>  [12,]     1     0      1      1      0      1      0      1      1      1
#>  [13,]     0     1      0      0      0      0      0      0      0      1
#>  [14,]     0     1      1      1      1      0      1      1      0      1
#>  [15,]     0     1      0      1      1      0      0      1      0      1
#>  [16,]     1     0      1      0      1      0      0      0      0      1
#>  [17,]     0     1      1      1      1      1      0      0      1      1
#>  [18,]     0     1      0      0      0      1      0      1      1      1
#>  [19,]     0     0      0      0      0      0      0      0      0      1
#>  [20,]     1     0      0      1      1      0      0      1      0      1
#>  [21,]     1     0      0      0      0      0      1      1      1      1
#>  [22,]     0     0      0      0      0      0      0      0      1      1
#>  [23,]     0     0      1      1      0      0      1      1      0      1
#>  [24,]     0     1      1      0      0      1      0      1      0      0
#>  [25,]     0     1      0      0      0      0      1      0      0      0
#>  [26,]     0     1      0      1      1      1      0      0      0      0
#>  [27,]     0     1      1      0      0      0      0      0      0      1
#>  [28,]     1     1      0      0      1      0      0      1      1      1
#>  [29,]     0     1      0      0      0      0      0      0      1      1
#>  [30,]     0     1      0      1      1      1      0      0      0      0
#>  [31,]     1     1      0      1      0      1      0      1      0      0
#>  [32,]     1     1      0      1      1      0      0      0      0      1
#>  [33,]     1     1      0      1      0      1      0      0      1      1
#>  [34,]     0     1      0      1      0      0      1      0      0      1
#>  [35,]     1     1      0      0      0      1      0      0      0      1
#>  [36,]     0     1      0      0      1      1      1      0      1      0
#>  [37,]     0     0      1      1      0      0      1      0      0      1
#>  [38,]     1     1      1      0      1      1      0      0      0      1
#>  [39,]     0     1      1      0      1      1      0      1      0      1
#>  [40,]     0     1      0      0      0      0      1      0      0      1
#>  [41,]     0     1      0      1      1      1      0      0      0      1
#>  [42,]     0     1      0      0      0      0      0      0      0      0
#>  [43,]     0     1      0      0      0      0      0      0      1      1
#>  [44,]     1     1      1      0      0      0      1      0      0      1
#>  [45,]     0     1      0      1      0      1      1      0      0      1
#>  [46,]     0     0      0      0      0      0      0      0      0      0
#>  [47,]     1     1      0      0      0      0      1      1      0      1
#>  [48,]     0     1      1      0      1      1      1      1      0      1
#>  [49,]     0     1      1      0      0      0      1      1      0      1
#>  [50,]     0     1      0      0      0      1      0      0      1      1
#>  [51,]     1     1      1      1      0      1      1      0      1      1
#>  [52,]     0     1      1      0      0      0      0      0      0      1
#>  [53,]     0     1      0      0      0      0      1      0      0      1
#>  [54,]     0     1      0      0      0      0      0      0      0      1
#>  [55,]     1     1      1      0      0      0      0      1      1      1
#>  [56,]     0     1      1      0      0      0      1      0      0      1
#>  [57,]     1     1      0      0      0      0      1      0      0      0
#>  [58,]     1     1      1      1      1      0      0      0      0      0
#>  [59,]     0     1      1      0      1      0      0      1      1      1
#>  [60,]     1     1      1      0      0      1      0      0      0      1
#>  [61,]     0     1      1      0      0      1      0      0      1      1
#>  [62,]     0     1      0      0      0      0      1      0      0      1
#>  [63,]     0     0      0      0      0      0      0      0      0      1
#>  [64,]     0     1      0      0      0      0      1      0      0      1
#>  [65,]     0     1      1      0      0      0      0      0      0      1
#>  [66,]     1     1      1      0      0      0      1      0      0      1
#>  [67,]     0     0      1      1      0      0      1      0      1      1
#>  [68,]     0     1      1      1      0      0      1      0      1      1
#>  [69,]     0     1      0      1      0      1      0      1      1      1
#>  [70,]     0     1      0      0      0      0      1      0      0      0
#>  [71,]     0     1      0      0      0      0      0      0      0      1
#>  [72,]     0     1      1      0      0      0      0      1      1      1
#>  [73,]     0     1      0      1      1      1      0      1      1      0
#>  [74,]     1     1      0      0      1      1      0      1      1      1
#>  [75,]     0     1      1      0      0      0      0      1      0      1
#>  [76,]     0     1      1      1      0      1      0      0      0      1
#>  [77,]     1     1      1      1      1      1      0      0      0      1
#>  [78,]     1     0      0      0      0      0      0      0      1      0
#>  [79,]     0     1      0      0      0      1      0      1      0      1
#>  [80,]     0     1      0      0      1      1      0      1      1      1
#>  [81,]     0     1      0      1      1      1      0      0      1      1
#>  [82,]     0     0      0      0      0      1      0      1      0      1
#>  [83,]     1     1      0      0      0      0      1      0      0      1
#>  [84,]     0     0      0      0      1      0      1      0      0      1
#>  [85,]     1     1      0      0      1      1      1      0      1      1
#>  [86,]     0     1      0      1      1      1      0      0      0      1
#>  [87,]     0     1      1      1      1      1      1      0      1      1
#>  [88,]     1     0      0      1      0      1      0      0      0      1
#>  [89,]     0     1      0      0      0      0      0      0      0      1
#>  [90,]     0     0      0      0      0      0      0      0      0      1
#>  [91,]     0     1      1      1      0      0      0      1      0      1
#>  [92,]     1     1      0      1      0      0      0      0      0      0
#>  [93,]     0     1      1      0      0      0      0      0      0      1
#>  [94,]     0     1      1      0      1      1      0      0      0      1
#>  [95,]     1     1      1      1      0      0      0      1      0      1
#>  [96,]     0     1      1      0      0      0      0      0      0      1
#>  [97,]     0     1      1      0      0      1      1      1      0      1
#>  [98,]     1     1      1      0      0      1      0      0      0      1
#>  [99,]     0     0      0      0      0      0      0      1      0      1
#> [100,]     1     1      1      1      0      0      0      0      1      1
#>        [,108] [,109] [,110] [,111] [,112] [,113] [,114] [,115] [,116] [,117]
#>   [1,]      1      1      1      1      1      1      1      0      0      0
#>   [2,]      0      0      0      0      1      1      0      0      0      0
#>   [3,]      1      1      1      1      0      1      0      0      1      0
#>   [4,]      1      1      1      1      1      1      0      0      0      0
#>   [5,]      1      1      1      0      1      1      1      0      0      0
#>   [6,]      1      0      1      0      1      1      0      1      1      0
#>   [7,]      1      1      0      0      1      1      1      0      0      0
#>   [8,]      1      0      1      0      1      1      1      1      0      0
#>   [9,]      1      0      1      1      1      1      0      1      1      0
#>  [10,]      1      0      1      0      1      1      0      0      0      0
#>  [11,]      1      1      1      1      1      1      1      1      0      0
#>  [12,]      1      0      1      0      1      1      0      1      1      1
#>  [13,]      1      0      1      0      1      1      0      0      0      0
#>  [14,]      1      0      1      1      0      0      1      1      1      1
#>  [15,]      1      0      1      0      1      1      1      1      0      1
#>  [16,]      0      0      1      0      1      1      0      0      0      1
#>  [17,]      1      0      1      1      1      1      1      0      0      0
#>  [18,]      1      0      1      0      1      1      0      0      1      1
#>  [19,]      1      0      1      1      1      1      0      0      0      0
#>  [20,]      1      1      1      1      1      1      1      0      1      1
#>  [21,]      1      0      1      0      1      1      0      0      0      0
#>  [22,]      1      0      1      0      1      1      0      0      0      0
#>  [23,]      1      0      1      0      1      1      0      0      0      0
#>  [24,]      1      0      1      0      1      1      0      0      0      0
#>  [25,]      1      0      0      0      1      1      0      0      0      1
#>  [26,]      1      1      1      0      0      1      1      0      0      0
#>  [27,]      0      0      1      0      0      1      0      0      0      0
#>  [28,]      1      0      1      1      1      0      0      1      0      0
#>  [29,]      1      0      1      0      0      1      0      1      0      0
#>  [30,]      1      1      0      0      0      1      0      0      1      0
#>  [31,]      0      1      1      1      1      1      1      0      0      1
#>  [32,]      1      1      1      0      1      1      1      0      1      0
#>  [33,]      1      0      0      0      1      1      1      0      1      0
#>  [34,]      1      1      0      0      1      1      1      0      1      0
#>  [35,]      1      0      1      0      1      1      0      0      0      0
#>  [36,]      1      1      1      0      1      1      0      0      0      1
#>  [37,]      1      0      0      0      1      1      1      0      1      1
#>  [38,]      0      0      1      1      1      1      1      1      0      1
#>  [39,]      1      1      1      0      1      1      0      1      0      1
#>  [40,]      0      0      1      0      1      1      0      1      0      0
#>  [41,]      1      1      1      0      1      1      1      0      0      0
#>  [42,]      1      1      1      0      0      1      0      0      0      1
#>  [43,]      1      0      1      1      1      0      0      0      0      0
#>  [44,]      1      0      1      1      1      1      0      0      1      0
#>  [45,]      1      0      1      1      1      1      0      0      0      0
#>  [46,]      0      0      1      0      0      1      0      0      1      0
#>  [47,]      1      0      1      0      1      1      0      1      0      0
#>  [48,]      1      1      0      0      0      1      0      1      0      0
#>  [49,]      1      1      1      0      1      1      1      1      0      1
#>  [50,]      1      1      1      0      1      1      1      0      1      1
#>  [51,]      1      0      1      1      1      1      0      0      1      1
#>  [52,]      1      0      0      0      1      1      0      1      0      0
#>  [53,]      1      0      0      0      1      1      0      0      0      0
#>  [54,]      1      0      1      0      0      0      0      1      0      0
#>  [55,]      0      0      1      0      1      1      0      0      0      0
#>  [56,]      0      0      0      1      1      1      0      1      0      0
#>  [57,]      1      0      0      0      1      1      0      1      0      0
#>  [58,]      1      1      1      0      1      1      1      0      0      1
#>  [59,]      1      1      1      1      1      1      0      1      0      1
#>  [60,]      1      0      1      0      1      1      0      0      1      1
#>  [61,]      1      1      1      0      1      1      0      0      0      1
#>  [62,]      1      0      1      1      1      1      0      0      0      0
#>  [63,]      1      0      1      1      1      1      0      1      0      0
#>  [64,]      1      0      1      1      1      1      0      0      1      0
#>  [65,]      1      0      1      0      1      0      0      0      0      1
#>  [66,]      1      1      1      1      1      1      0      0      0      0
#>  [67,]      1      0      1      0      1      1      0      0      0      0
#>  [68,]      1      0      1      1      1      1      0      1      0      1
#>  [69,]      1      0      1      0      1      1      0      1      0      1
#>  [70,]      1      0      1      1      1      1      0      0      0      0
#>  [71,]      1      0      0      0      1      1      0      1      0      0
#>  [72,]      1      0      1      0      0      1      0      0      0      0
#>  [73,]      1      1      1      0      1      1      0      0      0      1
#>  [74,]      1      1      1      0      1      1      0      0      0      1
#>  [75,]      1      0      1      1      1      1      0      1      0      0
#>  [76,]      1      1      1      0      1      0      1      0      1      0
#>  [77,]      1      0      1      0      0      1      1      0      0      0
#>  [78,]      0      0      1      1      1      1      0      1      0      0
#>  [79,]      1      1      1      0      0      0      0      0      0      0
#>  [80,]      1      0      1      0      1      1      0      1      1      1
#>  [81,]      1      1      1      1      1      1      0      0      0      0
#>  [82,]      1      0      1      1      1      1      1      1      0      1
#>  [83,]      1      0      1      0      1      1      0      0      0      0
#>  [84,]      0      0      1      0      1      1      1      0      0      0
#>  [85,]      1      0      1      1      1      1      1      1      1      0
#>  [86,]      1      1      0      0      1      1      1      0      1      1
#>  [87,]      1      1      1      0      1      1      0      1      0      1
#>  [88,]      1      1      0      0      1      1      0      0      0      0
#>  [89,]      1      0      1      0      1      1      0      0      0      0
#>  [90,]      1      0      0      0      1      1      0      1      0      1
#>  [91,]      1      1      0      1      1      1      1      0      1      0
#>  [92,]      1      0      1      0      1      0      0      0      0      0
#>  [93,]      1      0      1      0      0      1      0      0      0      0
#>  [94,]      1      1      1      1      1      1      1      0      1      1
#>  [95,]      0      0      1      1      1      1      0      0      0      0
#>  [96,]      1      0      1      0      1      1      0      1      1      0
#>  [97,]      0      0      1      0      0      1      1      1      1      1
#>  [98,]      1      0      1      1      1      1      0      0      0      1
#>  [99,]      1      0      1      0      1      1      0      1      1      0
#> [100,]      1      0      1      0      1      1      0      1      1      1
#>        [,118] [,119] [,120]
#>   [1,]      0      0      0
#>   [2,]      0      0      0
#>   [3,]      0      1      0
#>   [4,]      0      0      0
#>   [5,]      0      1      1
#>   [6,]      0      0      1
#>   [7,]      0      0      0
#>   [8,]      0      0      1
#>   [9,]      0      0      0
#>  [10,]      0      0      1
#>  [11,]      1      1      0
#>  [12,]      1      0      1
#>  [13,]      0      0      0
#>  [14,]      1      0      1
#>  [15,]      1      0      0
#>  [16,]      1      1      0
#>  [17,]      0      0      0
#>  [18,]      0      1      0
#>  [19,]      1      0      0
#>  [20,]      0      0      1
#>  [21,]      0      0      0
#>  [22,]      0      0      0
#>  [23,]      0      0      0
#>  [24,]      0      0      0
#>  [25,]      0      0      1
#>  [26,]      0      0      0
#>  [27,]      0      0      1
#>  [28,]      0      0      0
#>  [29,]      0      0      0
#>  [30,]      1      0      0
#>  [31,]      0      0      1
#>  [32,]      1      0      1
#>  [33,]      0      0      0
#>  [34,]      0      0      0
#>  [35,]      1      1      0
#>  [36,]      1      1      0
#>  [37,]      0      1      0
#>  [38,]      1      0      1
#>  [39,]      1      0      1
#>  [40,]      1      0      0
#>  [41,]      1      1      0
#>  [42,]      0      0      0
#>  [43,]      0      0      0
#>  [44,]      0      0      0
#>  [45,]      0      1      0
#>  [46,]      0      0      0
#>  [47,]      0      0      0
#>  [48,]      1      1      0
#>  [49,]      0      1      1
#>  [50,]      1      1      0
#>  [51,]      1      0      1
#>  [52,]      0      0      0
#>  [53,]      0      1      0
#>  [54,]      0      1      1
#>  [55,]      0      0      0
#>  [56,]      0      0      0
#>  [57,]      0      0      1
#>  [58,]      1      0      0
#>  [59,]      1      1      1
#>  [60,]      0      1      0
#>  [61,]      0      0      0
#>  [62,]      0      0      0
#>  [63,]      0      0      1
#>  [64,]      0      0      1
#>  [65,]      0      0      1
#>  [66,]      0      0      0
#>  [67,]      1      0      0
#>  [68,]      1      1      0
#>  [69,]      0      1      0
#>  [70,]      1      0      0
#>  [71,]      0      0      1
#>  [72,]      0      0      1
#>  [73,]      1      1      0
#>  [74,]      1      0      0
#>  [75,]      0      0      1
#>  [76,]      1      0      0
#>  [77,]      0      1      0
#>  [78,]      0      0      0
#>  [79,]      0      0      0
#>  [80,]      1      0      0
#>  [81,]      1      0      0
#>  [82,]      0      1      0
#>  [83,]      0      0      0
#>  [84,]      0      0      0
#>  [85,]      1      0      1
#>  [86,]      1      0      0
#>  [87,]      0      1      1
#>  [88,]      1      1      0
#>  [89,]      1      0      0
#>  [90,]      0      1      0
#>  [91,]      1      0      0
#>  [92,]      0      0      0
#>  [93,]      0      0      1
#>  [94,]      1      0      1
#>  [95,]      0      0      0
#>  [96,]      0      1      0
#>  [97,]      1      1      1
#>  [98,]      1      1      0
#>  [99,]      0      0      1
#> [100,]      1      1      1
#> 
### =======================================
### BIPARTITE POISSON SBM
## Graph parameters
nbNodes <- c(100, 120)
blockProp <- list(c(.5, .5), c(1/3, 1/3, 1/3)) # group proportions
means <- matrix(rbinom(6, 30, 0.25), 2, 3)  # connectivity matrix
# In Poisson SBM, parameters is a list with a matrix of
# means 'mean' which are a mean integer value taken by edges
connectParam <- list(mean = means)

## Graph Sampling
dimLabels = c(row = 'Ind', col = 'Service')
mySampler <- sampleBipartiteSBM(nbNodes, blockProp, connectParam, model = 'poisson', dimLabels)
plot(mySampler,type='expected')

plotOptions = list(vertex.label.name=c('U','V'),vertex.size = c(1.4,1.3))
plot(mySampler, type='meso', plotOptions = plotOptions)

hist(mySampler$networkData)


### =======================================
### BIPARTITE GAUSSIAN SBM
## Graph parameters
nbNodes <- c(100, 120)
blockProp <- list(c(.5, .5), c(1/3, 1/3, 1/3)) # group proportions
means <- 20 * matrix(runif(6), 2, 3)  # connectivity matrix
# In Gaussian SBM, parameters is a list with a matrix
# of means 'mean' and a matrix of variances 'var'
connectParam <- list(mean = means, var = 1)

## Graph Sampling
mySampler <- sampleBipartiteSBM(nbNodes, blockProp, connectParam, model = 'gaussian')
plot(mySampler)

hist(mySampler$networkData)