extract.RdA generic function to extract elements from objects of class CDM, validation or simData.
Objects which can be extracted from CDM object include:
An GDINA object (@seealso GDINA) gained from GDINA package or an
list after BM algorithm, depending on which estimation is used.
Individuals' attribute parameters calculated by EAP method
Individual posterior
Individuals' marginal mastery probabilities matrix
Attribute prior weights for calculating marginalized likelihood in the last iteration
deviance, or negative two times observed marginal log likelihood
The number of parameters
AIC
BIC
Objects which can be extracted from validation object include:
The original Q-matrix that maybe contains some mis-specifications and need to be validate.
The Q-matrix that suggested by certain validation method.
The time that CPU cost to finish the function.
A matrix that contains the modification process of each question during each iteration.
Each row represents an iteration, and each column corresponds to the q-vector index of the respective
question. The order of the indices is consistent with the row numbering in the matrix generated by
the attributepattern function in the GDINA package. Only when
maxitr > 1, the, the value is availble.
The number of iteration. Only when maxitr > 1, the, the value is availble.
An I × K matrix that contains the priority of every attribute for
each item. Only when the search.method is "PAA", the value is availble. See details.
A list containing all the information needed to plot the Hull plot, which is
available only when method = "Hull".
Objects which can be extracted from simData object (@seealso sim.data) include:
An N × I simulated item response matrix.
The Q-matrix.
An N × K matrix for inviduals' attribute patterns.
A list of non-zero category success probabilities for each latent group.
A list of delta parameters.
Higher-order parameters.
Multivariate normal distribution parameters.
A matrix of item/category success probabilities for each latent class.
extract(object, what, ...)
# S3 method for class 'CDM'
extract(object, what, ...)
# S3 method for class 'validation'
extract(object, what, ...)
# S3 method for class 'simData'
extract(object, what, ...)extract(CDM): various elements of CDM object
extract(validation): various elements of validation object
extract(simData): various elements of simData object
set.seed(123)
library(Qval)
## generate Q-matrix and data to fit
K <- 3
I <- 30
example.Q <- sim.Q(K, I)
IQ <- list(
P0 = runif(I, 0.0, 0.2),
P1 = runif(I, 0.8, 1.0)
)
example.data <- sim.data(Q = example.Q, N = 1000, IQ = IQ,
model = "GDINA", distribute = "horder")
#> distribute = horder
#> model = GDINA
#> number of attributes: 3
#> number of items: 30
#> num of examinees: 1000
#> average of P0 = 0.096
#> average of P1 = 0.909
#> theta_mean = -0.041 , theta_sd = 0.997
#> a = 1.5 1.5 1.5
#> b = 1.5 -1.5 0
extract(example.data,"dat")
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 1 1 0 1 0 1 0 0 0 1 0 1 0
#> [2,] 1 1 1 1 1 1 1 0 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [4,] 1 0 0 1 1 1 1 0 0 0 0 0 1
#> [5,] 1 0 1 1 0 0 0 0 1 0 1 0 1
#> [6,] 1 1 1 1 1 1 1 0 1 0 1 1 0
#> [7,] 1 1 0 1 1 0 0 0 0 1 0 1 0
#> [8,] 1 1 0 0 0 0 0 0 0 0 1 1 1
#> [9,] 0 1 1 1 1 0 1 1 1 1 1 1 1
#> [10,] 0 1 1 1 1 1 1 0 0 0 1 1 0
#> [11,] 1 1 1 1 1 1 0 1 1 1 1 1 1
#> [12,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [13,] 0 1 1 1 1 1 1 0 0 0 1 0 1
#> [14,] 0 0 0 1 0 0 0 0 0 1 0 1 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [16,] 1 1 0 0 0 0 0 0 0 1 0 1 0
#> [17,] 0 0 0 1 1 0 0 1 0 0 0 1 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 1 1 0 1 0 1 1 1 0 1 1 0 0
#> [20,] 1 1 0 1 1 1 1 1 0 0 0 0 1
#> [21,] 1 1 0 1 0 0 0 0 1 0 1 1 1
#> [22,] 0 0 0 0 0 0 0 0 0 1 0 0 0
#> [23,] 0 0 0 1 0 0 0 0 0 1 1 1 0
#> [24,] 0 1 0 0 0 0 0 0 0 1 1 1 0
#> [25,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [26,] 1 1 1 1 1 1 1 1 0 1 1 1 1
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 1 1 0 0 0 0 0 0 0 0 1 1 0
#> [29,] 1 0 0 1 0 0 0 1 0 1 0 1 0
#> [30,] 1 1 0 1 1 1 1 1 0 1 1 1 0
#> [31,] 1 1 1 1 0 1 1 1 0 1 1 1 0
#> [32,] 0 1 0 1 0 0 0 0 0 0 0 1 0
#> [33,] 1 1 0 1 0 0 1 1 1 0 1 1 1
#> [34,] 1 0 1 1 1 1 1 1 1 1 0 1 1
#> [35,] 0 1 0 1 1 1 1 1 0 0 1 1 0
#> [36,] 1 1 0 1 0 1 0 0 0 1 1 1 0
#> [37,] 1 1 1 1 1 0 1 1 1 0 1 1 0
#> [38,] 1 0 1 1 1 1 1 1 0 1 1 1 0
#> [39,] 1 1 1 1 0 0 0 0 0 1 0 1 0
#> [40,] 1 0 0 1 0 0 0 0 0 0 0 1 0
#> [41,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [42,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [43,] 1 1 1 1 0 0 0 0 0 0 0 1 0
#> [44,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [45,] 1 1 1 1 1 1 1 0 0 1 0 1 0
#> [46,] 1 1 1 1 1 1 1 1 1 0 1 1 1
#> [47,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 1 0 0 0 1 0
#> [49,] 1 1 1 1 1 1 0 1 1 0 0 0 1
#> [50,] 1 1 0 1 1 1 1 0 0 0 1 1 0
#> [51,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [52,] 1 0 1 1 1 1 1 1 0 0 0 1 1
#> [53,] 1 1 1 1 0 0 0 0 1 0 1 1 0
#> [54,] 1 1 1 1 1 1 1 1 0 1 1 1 1
#> [55,] 1 1 1 1 1 1 1 1 1 0 1 1 1
#> [56,] 0 0 0 0 0 0 0 1 0 1 0 0 0
#> [57,] 0 1 0 1 0 0 1 1 0 1 1 1 0
#> [58,] 1 1 1 0 1 0 0 0 1 1 1 1 1
#> [59,] 1 1 0 0 0 0 0 0 0 0 0 1 0
#> [60,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [61,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [62,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [63,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [64,] 1 1 1 1 1 1 1 1 0 0 0 0 0
#> [65,] 0 1 1 1 1 1 1 1 0 0 0 1 0
#> [66,] 1 1 0 0 0 0 0 0 0 1 1 1 0
#> [67,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [68,] 1 1 0 1 1 1 1 1 0 1 1 0 0
#> [69,] 0 0 0 0 0 0 0 1 0 0 0 0 0
#> [70,] 1 1 0 1 1 1 1 1 1 0 0 0 0
#> [71,] 1 1 0 1 0 0 0 0 0 0 0 1 1
#> [72,] 1 1 1 1 0 0 1 1 0 0 1 0 0
#> [73,] 1 1 0 1 0 0 0 0 1 0 0 1 1
#> [74,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [75,] 1 1 1 1 1 1 0 1 1 0 1 1 1
#> [76,] 1 1 1 1 1 1 1 1 1 1 0 0 1
#> [77,] 0 1 1 1 1 1 1 1 0 0 1 1 0
#> [78,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [79,] 0 0 1 1 0 0 0 0 0 0 0 0 0
#> [80,] 0 1 0 1 0 0 0 1 0 0 1 1 0
#> [81,] 0 1 1 1 1 1 1 1 0 0 0 1 0
#> [82,] 1 1 0 0 0 0 0 0 0 0 1 1 0
#> [83,] 1 1 1 0 0 0 0 0 0 1 1 0 0
#> [84,] 0 0 0 0 0 1 0 0 0 0 0 0 1
#> [85,] 1 0 0 1 0 0 0 0 1 0 0 0 1
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [87,] 1 1 0 1 0 1 0 0 0 1 1 1 0
#> [88,] 1 1 1 0 0 0 0 0 0 1 0 1 0
#> [89,] 0 0 1 0 0 0 0 0 1 0 0 0 0
#> [90,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [91,] 1 1 0 0 0 1 0 1 0 1 1 1 1
#> [92,] 0 0 0 0 1 0 0 0 0 0 0 0 0
#> [93,] 1 1 1 1 1 1 1 1 1 0 1 1 1
#> [94,] 0 0 1 0 1 0 0 0 0 0 0 0 0
#> [95,] 0 1 1 1 1 1 1 1 1 1 1 1 1
#> [96,] 1 1 0 0 0 0 0 0 1 0 1 1 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 1 1 1 1 1 0 1 1 0 1 1 0 1
#> [99,] 1 1 0 1 0 1 1 1 0 0 0 0 0
#> [100,] 1 1 0 1 1 1 0 0 0 0 0 0 0
#> [101,] 1 1 1 1 1 1 1 0 1 0 1 1 0
#> [102,] 1 1 1 1 0 0 0 0 0 0 1 1 0
#> [103,] 1 1 1 1 1 1 1 1 0 1 0 1 1
#> [104,] 1 1 1 1 1 0 1 1 0 1 0 1 1
#> [105,] 1 1 1 1 0 0 0 0 1 1 1 1 0
#> [106,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [107,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [108,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [109,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [110,] 1 1 1 0 0 1 1 1 1 1 1 1 0
#> [111,] 1 1 0 1 1 1 1 1 0 1 1 1 0
#> [112,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [113,] 1 1 0 1 0 0 1 1 0 1 0 1 0
#> [114,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [115,] 1 0 1 1 0 1 0 0 0 1 1 1 0
#> [116,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [117,] 1 1 1 1 1 1 1 0 1 1 1 1 0
#> [118,] 1 1 1 1 1 0 1 1 1 1 0 1 1
#> [119,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [120,] 0 1 1 1 1 1 1 0 0 1 0 1 0
#> [121,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [122,] 1 0 1 1 1 0 0 0 1 0 0 0 1
#> [123,] 1 1 1 1 1 1 1 1 1 1 0 1 0
#> [124,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [125,] 1 1 0 1 1 0 0 1 1 1 1 1 1
#> [126,] 0 1 1 0 1 0 0 0 1 0 1 1 0
#> [127,] 0 0 0 0 0 0 0 1 0 0 0 0 1
#> [128,] 1 1 0 0 0 0 0 0 0 0 1 1 0
#> [129,] 0 0 0 1 0 0 0 1 0 0 1 0 0
#> [130,] 1 1 1 1 0 0 0 0 0 1 1 1 0
#> [131,] 0 1 1 1 0 0 0 0 1 1 1 1 1
#> [132,] 1 1 0 1 1 1 1 0 0 0 0 0 0
#> [133,] 1 1 1 1 1 1 1 0 1 0 1 1 0
#> [134,] 1 1 1 1 0 1 1 1 0 0 1 1 0
#> [135,] 1 1 1 1 1 1 1 1 1 1 1 0 1
#> [136,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [137,] 1 1 1 1 1 0 1 1 0 0 0 1 0
#> [138,] 1 1 0 1 1 0 0 1 0 1 0 0 0
#> [139,] 1 1 1 1 0 0 1 1 0 1 0 1 0
#> [140,] 1 1 0 1 1 0 0 0 1 0 1 1 1
#> [141,] 0 1 1 1 0 0 0 0 0 1 1 1 0
#> [142,] 0 0 0 1 0 0 0 0 0 1 0 0 0
#> [143,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [144,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [145,] 1 1 1 1 1 0 1 0 0 0 1 0 0
#> [146,] 0 1 1 1 1 1 1 1 0 1 0 1 0
#> [147,] 0 0 1 0 0 0 0 0 0 1 0 0 1
#> [148,] 1 1 1 1 1 1 1 0 1 1 1 1 1
#> [149,] 0 1 1 1 1 1 0 1 0 1 0 1 0
#> [150,] 1 1 1 1 1 1 1 0 0 0 1 1 0
#> [151,] 1 1 0 1 0 0 0 0 1 0 0 1 1
#> [152,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [153,] 1 0 0 1 0 0 0 0 0 0 0 0 0
#> [154,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [155,] 1 1 0 1 0 0 0 1 0 1 0 1 0
#> [156,] 1 1 0 1 0 0 0 0 1 1 1 1 1
#> [157,] 0 1 0 1 0 0 0 0 0 0 1 1 0
#> [158,] 1 1 0 1 1 1 1 0 0 1 1 1 0
#> [159,] 0 1 0 1 0 1 1 1 0 1 0 1 0
#> [160,] 1 1 0 1 1 1 0 1 1 0 1 1 1
#> [161,] 1 1 1 0 0 0 0 0 0 0 1 1 0
#> [162,] 1 0 0 1 1 1 1 1 0 0 0 0 0
#> [163,] 1 0 1 0 0 0 0 0 0 0 0 0 0
#> [164,] 1 1 1 0 1 1 1 0 0 0 0 0 0
#> [165,] 0 0 1 0 0 0 0 0 0 0 0 0 0
#> [166,] 1 1 0 1 0 0 0 0 0 1 0 0 0
#> [167,] 1 1 0 1 0 1 1 1 0 1 1 0 0
#> [168,] 1 1 0 1 1 1 0 1 0 0 1 0 0
#> [169,] 1 1 1 1 1 0 0 1 0 0 1 1 0
#> [170,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [171,] 1 1 1 1 0 1 1 1 1 1 1 1 1
#> [172,] 1 1 0 1 1 1 1 1 0 1 1 1 1
#> [173,] 1 1 0 1 1 1 1 1 1 0 0 0 0
#> [174,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [175,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [176,] 1 0 1 1 0 0 0 0 1 0 1 0 1
#> [177,] 1 1 1 1 1 1 1 0 0 1 0 1 0
#> [178,] 1 0 0 1 0 0 0 0 0 0 1 1 1
#> [179,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [180,] 1 1 0 1 1 1 1 1 0 1 1 1 0
#> [181,] 1 0 0 0 0 0 1 0 0 0 0 1 0
#> [182,] 0 0 0 1 0 0 0 0 0 1 0 0 1
#> [183,] 1 0 1 1 1 1 1 1 0 1 1 1 0
#> [184,] 0 1 0 1 0 0 0 0 0 0 0 1 0
#> [185,] 1 1 0 0 0 0 0 0 0 0 0 1 0
#> [186,] 1 0 1 1 0 1 1 1 0 0 0 0 0
#> [187,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [188,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [189,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [190,] 0 1 0 0 0 1 0 0 0 1 1 1 0
#> [191,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [192,] 0 0 0 0 0 0 0 0 0 0 0 1 1
#> [193,] 1 1 1 1 1 1 0 0 1 1 1 1 1
#> [194,] 0 1 0 1 0 0 0 0 0 0 1 1 0
#> [195,] 1 1 0 1 0 1 1 1 0 0 0 0 0
#> [196,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [197,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [198,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [199,] 1 1 1 1 0 1 0 0 1 0 1 0 1
#> [200,] 0 1 1 1 0 0 0 0 0 1 0 1 0
#> [201,] 1 0 0 0 0 1 0 0 0 1 0 0 1
#> [202,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [203,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [204,] 0 1 1 0 0 0 0 0 0 0 0 0 0
#> [205,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [206,] 1 1 1 1 1 1 0 1 1 1 1 1 1
#> [207,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [208,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [209,] 1 1 0 1 0 0 1 1 1 0 0 0 0
#> [210,] 0 1 1 1 1 1 1 0 1 1 1 1 1
#> [211,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [212,] 1 1 1 1 1 0 1 1 1 1 0 1 1
#> [213,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [214,] 0 0 0 0 1 0 0 1 0 0 0 0 0
#> [215,] 0 1 0 0 1 0 0 0 0 1 0 1 0
#> [216,] 1 1 0 1 0 1 0 0 1 1 1 1 1
#> [217,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [218,] 1 1 0 1 0 0 0 0 0 1 0 1 0
#> [219,] 1 1 0 1 1 0 1 0 0 0 0 0 1
#> [220,] 1 1 0 1 1 1 1 1 0 0 0 1 0
#> [221,] 1 1 1 1 1 0 1 1 0 1 0 1 1
#> [222,] 1 1 0 0 0 0 0 0 0 0 1 1 0
#> [223,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [224,] 1 1 1 1 1 1 1 0 1 1 1 0 1
#> [225,] 1 0 0 0 0 0 0 0 0 0 0 0 0
#> [226,] 1 1 1 1 0 0 0 0 1 0 1 1 1
#> [227,] 1 1 1 1 0 1 1 1 1 1 0 1 1
#> [228,] 0 1 1 1 1 1 1 1 1 1 0 1 1
#> [229,] 1 1 1 1 1 0 1 1 1 1 1 1 1
#> [230,] 1 1 1 1 0 0 0 0 0 0 0 1 0
#> [231,] 1 0 0 1 0 1 0 0 0 1 1 1 1
#> [232,] 1 0 0 1 0 0 0 0 0 1 0 0 0
#> [233,] 1 1 0 1 0 0 0 0 0 1 0 1 0
#> [234,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [235,] 1 1 0 1 1 1 1 1 0 0 1 0 0
#> [236,] 0 0 0 0 0 0 0 0 0 1 0 0 0
#> [237,] 0 1 0 1 0 0 0 0 0 1 0 1 0
#> [238,] 1 1 1 1 0 1 1 1 0 0 0 1 0
#> [239,] 0 0 0 0 0 1 0 0 0 0 1 1 0
#> [240,] 1 1 0 0 0 0 0 1 0 1 1 1 0
#> [241,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [242,] 1 1 1 1 1 1 1 0 0 0 1 1 0
#> [243,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [244,] 0 1 1 1 1 1 1 0 1 1 0 1 1
#> [245,] 1 1 0 0 0 1 0 0 0 0 0 1 0
#> [246,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [247,] 1 1 0 1 1 1 1 0 0 0 0 1 0
#> [248,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [249,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [250,] 0 1 0 1 0 0 0 0 1 0 1 1 1
#> [251,] 1 0 0 0 0 0 0 0 0 0 1 1 0
#> [252,] 1 0 1 1 1 1 0 1 0 0 0 1 0
#> [253,] 0 0 1 0 0 0 0 0 0 1 0 0 0
#> [254,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [255,] 1 1 1 1 1 1 1 1 0 0 0 0 1
#> [256,] 1 1 1 1 1 0 1 1 0 0 0 1 0
#> [257,] 0 1 1 1 1 1 1 1 0 1 1 1 0
#> [258,] 1 0 0 1 1 1 1 1 0 0 0 0 0
#> [259,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [260,] 1 1 1 1 0 1 1 1 1 1 0 1 0
#> [261,] 0 1 0 1 0 0 0 0 0 0 1 1 0
#> [262,] 0 1 1 1 1 1 1 1 0 1 1 1 0
#> [263,] 1 0 1 0 0 0 0 0 0 0 0 1 0
#> [264,] 1 1 1 1 0 0 0 0 1 0 1 1 1
#> [265,] 0 1 0 1 0 0 0 0 0 0 1 1 0
#> [266,] 1 1 0 1 1 1 1 1 0 0 1 1 0
#> [267,] 0 1 1 0 0 0 0 1 0 1 1 1 1
#> [268,] 0 1 0 0 0 0 0 0 0 0 1 1 1
#> [269,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [270,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [271,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [272,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [273,] 1 1 0 1 1 1 1 1 0 0 1 1 0
#> [274,] 1 1 0 1 1 0 1 0 1 1 1 1 1
#> [275,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [276,] 1 1 0 0 0 0 0 0 0 0 1 1 0
#> [277,] 1 0 1 1 0 1 0 0 1 0 1 1 0
#> [278,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [279,] 1 1 1 1 1 0 1 0 1 0 0 0 1
#> [280,] 0 0 0 0 0 1 0 0 0 1 0 0 0
#> [281,] 1 1 1 1 0 0 0 0 1 1 1 0 1
#> [282,] 1 0 0 1 0 1 0 0 0 1 0 1 1
#> [283,] 1 1 1 1 0 1 0 1 0 0 1 1 0
#> [284,] 1 1 0 1 1 1 1 1 0 1 1 1 1
#> [285,] 0 1 1 1 1 1 1 0 0 0 1 1 0
#> [286,] 1 1 0 0 0 0 0 0 0 0 0 1 0
#> [287,] 0 0 0 0 0 1 0 0 0 0 0 0 1
#> [288,] 1 1 1 1 0 1 1 1 0 0 1 1 0
#> [289,] 0 1 0 0 0 0 0 0 0 0 1 0 1
#> [290,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [291,] 1 1 1 1 0 0 0 0 0 0 1 1 0
#> [292,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [293,] 0 1 0 0 0 0 0 0 0 0 1 1 0
#> [294,] 0 1 1 1 0 0 0 1 0 0 0 1 0
#> [295,] 1 1 0 1 0 0 0 0 0 0 1 1 1
#> [296,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [297,] 0 1 0 1 1 1 0 1 0 0 1 1 1
#> [298,] 1 1 1 1 0 0 0 0 0 1 1 1 0
#> [299,] 0 1 1 1 0 0 0 0 0 0 1 1 0
#> [300,] 1 1 0 1 1 1 1 1 0 1 0 1 0
#> [301,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [302,] 0 0 0 1 0 0 0 1 0 0 0 0 0
#> [303,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [304,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [305,] 1 1 1 1 1 1 1 0 1 0 1 1 1
#> [306,] 1 1 1 1 0 1 1 1 0 1 0 1 0
#> [307,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [308,] 0 0 1 0 0 0 0 0 0 0 0 1 0
#> [309,] 1 1 1 1 1 1 1 1 0 1 0 1 1
#> [310,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [311,] 0 1 1 1 0 0 0 0 0 0 0 1 0
#> [312,] 1 1 0 1 1 1 1 0 0 1 1 1 0
#> [313,] 1 1 0 0 0 0 0 0 0 1 0 0 0
#> [314,] 0 0 0 0 0 0 0 0 0 1 0 0 0
#> [315,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [316,] 0 1 1 0 1 0 1 1 1 1 1 1 1
#> [317,] 0 0 0 0 0 0 0 0 0 0 1 0 0
#> [318,] 1 1 1 1 0 1 1 1 0 1 1 0 0
#> [319,] 0 0 0 0 0 1 0 0 0 0 1 0 0
#> [320,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [321,] 0 1 0 0 0 0 0 0 0 0 0 0 0
#> [322,] 1 1 1 1 1 1 1 1 0 1 1 0 0
#> [323,] 1 1 0 1 0 1 1 1 0 1 1 0 1
#> [324,] 1 1 0 1 0 1 0 0 1 1 1 1 0
#> [325,] 1 1 1 1 1 1 0 1 0 0 0 0 0
#> [326,] 0 0 0 0 0 0 0 0 1 0 0 0 0
#> [327,] 1 1 0 0 0 0 0 0 0 0 1 1 1
#> [328,] 1 1 1 1 1 1 1 0 0 0 1 1 0
#> [329,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [330,] 1 1 0 1 1 0 0 1 0 0 1 1 0
#> [331,] 0 0 0 1 1 1 1 1 1 0 0 1 0
#> [332,] 1 1 1 1 1 1 1 1 1 1 0 1 0
#> [333,] 1 1 1 1 1 1 1 1 0 1 1 1 1
#> [334,] 1 1 1 1 1 0 1 1 0 0 0 1 0
#> [335,] 1 0 0 0 0 0 0 0 1 0 0 1 0
#> [336,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [337,] 1 1 0 1 0 0 0 1 0 1 0 1 0
#> [338,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [339,] 0 1 1 1 1 0 1 1 0 1 1 1 0
#> [340,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [341,] 1 1 0 1 1 1 1 1 0 0 1 1 0
#> [342,] 0 1 0 1 1 1 1 1 0 1 1 1 1
#> [343,] 1 1 1 0 0 0 0 0 0 0 0 1 0
#> [344,] 1 1 0 0 0 0 0 0 0 1 0 1 0
#> [345,] 0 0 1 0 0 0 0 0 0 0 0 0 0
#> [346,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [347,] 1 1 1 0 0 1 1 1 1 1 1 1 1
#> [348,] 0 1 1 0 0 0 0 0 0 0 0 1 0
#> [349,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [350,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [351,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [352,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [353,] 1 1 1 0 0 0 0 0 0 1 0 1 0
#> [354,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [355,] 1 1 1 1 1 0 1 1 1 1 0 1 1
#> [356,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [357,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [358,] 0 1 0 0 0 1 0 0 0 0 0 0 1
#> [359,] 1 1 1 1 0 1 1 1 0 1 1 1 0
#> [360,] 0 1 1 1 1 1 1 1 0 1 1 1 1
#> [361,] 1 1 1 1 0 1 1 1 0 0 1 1 1
#> [362,] 1 1 1 1 1 1 1 1 0 1 1 1 1
#> [363,] 0 0 0 0 0 1 0 1 1 0 0 1 1
#> [364,] 1 1 1 1 0 0 0 1 1 1 1 1 0
#> [365,] 0 0 0 1 0 0 0 0 0 0 0 0 1
#> [366,] 1 1 0 1 0 0 0 0 0 1 0 0 0
#> [367,] 1 0 0 0 0 0 0 0 0 0 0 0 1
#> [368,] 1 0 0 1 1 0 1 1 0 1 0 0 0
#> [369,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [370,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [371,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [372,] 0 0 1 1 0 0 0 0 0 0 0 0 0
#> [373,] 1 1 0 1 0 0 0 0 1 1 1 1 1
#> [374,] 1 1 0 0 1 0 0 0 1 0 0 1 0
#> [375,] 0 1 1 1 1 1 1 0 0 0 1 1 0
#> [376,] 1 1 0 0 0 0 0 0 0 1 1 1 0
#> [377,] 0 0 0 0 0 0 1 0 0 0 0 0 0
#> [378,] 1 1 1 1 0 1 1 1 0 0 1 1 0
#> [379,] 0 0 0 0 1 1 0 0 0 0 0 0 0
#> [380,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [381,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [382,] 0 1 1 1 1 1 1 1 1 1 1 1 1
#> [383,] 1 1 0 1 0 1 1 0 1 1 1 0 0
#> [384,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [385,] 1 1 0 0 0 0 0 0 0 0 1 0 0
#> [386,] 1 1 1 1 1 1 1 1 1 0 1 1 1
#> [387,] 0 1 1 1 0 1 0 0 0 1 0 1 0
#> [388,] 1 1 0 1 1 1 1 1 0 0 0 1 0
#> [389,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [390,] 1 1 1 0 0 0 0 0 0 1 0 1 0
#> [391,] 1 1 1 1 0 0 1 1 1 1 1 1 1
#> [392,] 1 1 1 1 0 1 0 0 0 0 1 1 1
#> [393,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [394,] 0 1 0 1 0 0 0 0 0 1 1 1 0
#> [395,] 0 0 1 1 1 1 1 1 0 0 0 1 0
#> [396,] 0 1 0 1 0 0 0 1 0 1 1 1 0
#> [397,] 1 0 1 1 1 1 1 1 0 1 0 1 0
#> [398,] 0 0 1 1 0 0 0 0 0 1 0 0 0
#> [399,] 1 0 1 1 0 1 0 0 0 0 1 1 0
#> [400,] 0 1 0 0 0 0 0 0 0 0 0 1 0
#> [401,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [402,] 0 1 1 1 0 0 0 0 1 1 1 1 1
#> [403,] 1 1 0 0 0 0 0 0 0 0 1 0 0
#> [404,] 0 0 0 1 0 0 0 1 0 0 0 1 0
#> [405,] 1 1 1 1 1 1 1 0 0 0 1 1 0
#> [406,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [407,] 1 1 1 0 1 1 1 1 1 1 0 0 1
#> [408,] 0 1 1 1 0 0 0 0 0 1 1 1 0
#> [409,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [410,] 1 1 1 0 0 0 0 0 0 0 0 1 0
#> [411,] 0 0 0 1 0 0 0 0 0 0 0 1 0
#> [412,] 1 1 1 1 0 1 1 1 0 1 0 1 0
#> [413,] 0 0 0 0 1 1 0 0 0 0 0 1 0
#> [414,] 0 1 0 1 0 0 0 0 1 1 1 1 1
#> [415,] 1 1 1 1 0 0 0 1 1 0 0 1 0
#> [416,] 1 1 0 1 1 1 1 1 0 1 0 1 0
#> [417,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [418,] 1 1 0 1 0 1 0 0 0 0 1 1 0
#> [419,] 1 1 0 0 0 0 0 0 0 1 1 1 0
#> [420,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [421,] 1 1 1 1 1 1 1 0 1 1 1 1 1
#> [422,] 1 1 0 1 0 0 1 1 0 1 1 0 0
#> [423,] 0 0 0 0 0 1 0 0 0 0 0 0 0
#> [424,] 1 1 0 0 0 0 0 0 0 0 1 1 0
#> [425,] 1 1 0 0 0 0 0 0 0 0 0 1 0
#> [426,] 1 1 1 0 0 0 0 0 0 1 1 1 0
#> [427,] 1 0 0 0 0 0 0 1 0 0 0 1 0
#> [428,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [429,] 1 1 0 0 1 0 0 0 0 0 0 1 0
#> [430,] 1 0 1 1 1 1 1 1 0 1 0 1 0
#> [431,] 0 1 1 0 0 0 0 0 0 1 1 1 0
#> [432,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [433,] 1 1 1 1 1 1 1 0 0 0 0 1 0
#> [434,] 1 1 1 1 1 0 1 1 1 1 0 1 1
#> [435,] 1 1 0 0 0 0 0 0 0 1 0 1 0
#> [436,] 1 1 1 1 1 1 1 1 0 0 1 1 1
#> [437,] 1 1 0 1 0 0 0 0 0 0 1 0 0
#> [438,] 1 1 1 1 0 0 0 0 0 1 1 1 1
#> [439,] 0 1 0 0 0 0 0 0 0 0 0 1 0
#> [440,] 0 1 1 0 0 0 0 1 0 0 1 1 0
#> [441,] 1 1 1 1 1 1 0 1 0 1 0 0 0
#> [442,] 1 1 0 1 1 1 1 1 1 0 0 1 1
#> [443,] 1 0 0 1 1 1 1 1 0 0 0 1 0
#> [444,] 0 0 0 0 0 0 0 1 0 0 0 1 0
#> [445,] 1 1 1 1 1 0 1 1 0 0 1 1 0
#> [446,] 1 1 0 1 1 1 1 1 0 0 0 1 0
#> [447,] 1 1 1 1 0 1 0 0 0 0 1 1 0
#> [448,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [449,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [450,] 0 1 0 0 1 0 0 0 0 1 1 1 0
#> [451,] 1 1 1 1 1 0 1 1 1 1 1 1 1
#> [452,] 1 1 0 1 0 1 0 0 1 1 0 1 0
#> [453,] 0 1 0 1 1 1 1 1 0 0 0 1 0
#> [454,] 1 1 0 0 1 0 0 0 0 0 1 1 0
#> [455,] 1 1 0 0 0 0 0 0 0 0 1 1 1
#> [456,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [457,] 1 1 0 1 0 0 0 1 0 1 1 1 0
#> [458,] 1 1 0 1 1 1 1 1 0 1 0 1 0
#> [459,] 1 1 1 1 0 0 0 0 0 0 0 1 0
#> [460,] 1 0 0 1 0 0 0 0 0 1 0 1 0
#> [461,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [462,] 1 0 1 1 1 1 1 0 0 0 1 1 0
#> [463,] 1 1 1 1 1 1 1 1 0 0 0 1 1
#> [464,] 1 1 1 1 0 0 0 0 0 1 0 1 0
#> [465,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [466,] 1 1 0 1 1 1 1 1 0 1 0 0 0
#> [467,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [468,] 1 1 1 0 1 0 1 1 1 1 0 1 1
#> [469,] 1 1 0 1 1 1 0 1 0 0 0 0 0
#> [470,] 1 1 1 1 1 1 1 1 0 1 1 0 0
#> [471,] 0 0 0 0 0 1 0 0 0 0 0 0 0
#> [472,] 1 1 1 1 1 0 0 0 0 1 0 1 0
#> [473,] 0 1 1 1 1 1 1 1 0 1 1 1 0
#> [474,] 1 0 0 0 0 0 0 0 0 0 1 1 0
#> [475,] 0 1 0 1 1 1 1 1 1 1 0 0 0
#> [476,] 1 1 1 1 1 0 1 1 1 0 1 1 1
#> [477,] 0 0 0 0 0 0 0 0 0 1 0 0 0
#> [478,] 0 1 0 1 0 0 0 0 0 0 1 1 0
#> [479,] 1 1 1 1 0 1 1 1 0 1 1 1 0
#> [480,] 1 1 1 1 0 1 1 1 1 1 1 1 1
#> [481,] 1 1 0 1 1 0 0 0 0 1 1 1 0
#> [482,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [483,] 0 1 1 1 0 0 0 0 0 0 1 1 0
#> [484,] 0 0 0 1 0 1 0 0 0 0 1 0 0
#> [485,] 1 1 0 0 0 0 0 0 0 1 1 1 0
#> [486,] 1 1 0 0 1 0 0 0 0 1 1 1 0
#> [487,] 0 0 0 1 0 0 0 0 0 0 0 0 1
#> [488,] 1 1 1 1 0 1 1 1 0 0 1 1 0
#> [489,] 0 0 0 1 0 0 0 0 0 0 0 1 0
#> [490,] 0 0 0 0 0 1 0 0 0 0 0 0 1
#> [491,] 1 1 1 1 1 1 1 0 1 1 1 1 0
#> [492,] 1 1 1 1 0 0 0 1 0 0 1 1 0
#> [493,] 1 0 0 0 0 0 0 0 0 0 1 1 0
#> [494,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [495,] 1 1 1 1 1 1 1 0 0 1 1 1 0
#> [496,] 1 1 1 0 0 0 0 0 0 0 1 1 0
#> [497,] 0 1 1 1 1 1 1 1 1 1 1 0 1
#> [498,] 1 1 1 1 1 0 1 1 0 1 1 1 0
#> [499,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [500,] 0 1 1 1 0 1 1 1 0 0 0 1 0
#> [501,] 0 1 0 1 0 0 0 0 0 1 1 1 0
#> [502,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [503,] 1 1 1 0 0 0 0 0 1 0 1 1 1
#> [504,] 1 1 1 0 0 0 0 0 0 0 1 1 1
#> [505,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [506,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [507,] 1 1 1 1 0 1 1 1 1 1 1 0 1
#> [508,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [509,] 1 1 1 1 1 0 1 1 1 1 1 1 0
#> [510,] 1 1 1 1 0 0 0 0 1 0 1 1 1
#> [511,] 1 1 0 1 0 0 0 0 1 0 0 1 0
#> [512,] 0 0 0 0 0 0 0 0 1 1 0 0 0
#> [513,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [514,] 0 1 0 1 0 1 1 1 0 0 0 0 0
#> [515,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [516,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [517,] 1 1 0 1 1 1 1 1 0 0 1 1 1
#> [518,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [519,] 1 1 0 1 1 1 1 1 1 1 0 1 1
#> [520,] 1 1 0 1 1 1 1 1 1 1 1 0 1
#> [521,] 1 1 0 1 1 0 1 1 0 1 1 1 0
#> [522,] 1 1 1 1 0 1 1 0 0 0 0 1 0
#> [523,] 1 1 1 1 1 1 1 1 1 1 0 0 1
#> [524,] 1 0 0 0 0 0 0 0 0 1 0 0 0
#> [525,] 1 1 1 1 1 0 1 0 1 1 1 1 1
#> [526,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [527,] 0 1 0 1 0 0 1 0 0 0 0 1 0
#> [528,] 1 1 1 1 1 0 1 1 1 1 1 1 1
#> [529,] 1 1 0 0 0 0 0 0 0 1 0 1 0
#> [530,] 0 1 1 1 1 1 1 1 0 1 1 1 0
#> [531,] 1 1 0 0 0 1 1 0 0 1 1 1 0
#> [532,] 0 0 0 0 0 0 0 0 0 1 0 1 0
#> [533,] 0 1 0 1 0 0 0 0 0 1 0 1 0
#> [534,] 1 1 1 1 0 1 0 0 0 1 1 1 1
#> [535,] 0 1 1 1 1 1 1 1 1 0 1 0 1
#> [536,] 1 1 0 1 1 1 1 1 0 1 1 1 0
#> [537,] 1 1 0 0 0 0 0 0 0 0 0 1 0
#> [538,] 0 0 1 1 1 1 1 1 0 1 1 1 0
#> [539,] 1 1 1 1 1 1 1 1 0 0 1 1 1
#> [540,] 1 1 1 1 0 1 0 1 1 1 1 1 1
#> [541,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [542,] 1 1 0 1 0 0 0 0 0 1 1 1 1
#> [543,] 1 1 0 1 0 0 0 0 1 1 1 1 1
#> [544,] 1 1 1 1 1 1 1 1 0 1 0 1 1
#> [545,] 1 1 0 1 0 1 0 1 0 1 0 1 0
#> [546,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [547,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [548,] 1 1 1 1 1 1 1 0 0 0 0 0 0
#> [549,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [550,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [551,] 1 1 1 1 1 1 1 1 1 1 1 0 1
#> [552,] 1 0 1 1 1 1 1 1 1 1 1 1 1
#> [553,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [554,] 0 1 1 1 0 0 0 0 1 0 1 1 1
#> [555,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [556,] 0 0 0 0 0 0 0 0 1 0 0 0 1
#> [557,] 0 0 0 0 0 1 0 0 0 0 1 0 0
#> [558,] 1 1 1 1 1 1 0 1 0 0 1 1 1
#> [559,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [560,] 0 1 0 0 0 0 0 0 0 0 0 1 0
#> [561,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [562,] 1 1 1 1 0 0 0 0 1 0 1 1 1
#> [563,] 0 0 0 0 0 1 0 0 0 0 0 1 0
#> [564,] 1 0 1 0 1 0 0 0 1 1 1 0 1
#> [565,] 0 1 0 1 0 1 1 1 0 1 1 1 0
#> [566,] 1 1 1 1 0 0 0 0 1 0 1 1 1
#> [567,] 1 1 0 1 0 0 0 0 0 0 0 1 0
#> [568,] 1 1 1 1 0 0 1 1 1 1 1 1 0
#> [569,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [570,] 1 0 0 0 0 1 0 0 0 0 0 0 0
#> [571,] 1 1 0 1 0 0 0 0 1 0 1 1 1
#> [572,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [573,] 1 1 0 1 0 0 0 0 0 1 1 1 1
#> [574,] 1 1 0 0 0 0 0 0 0 1 0 1 0
#> [575,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [576,] 0 1 1 0 0 1 0 0 0 1 0 1 0
#> [577,] 1 1 1 1 0 0 1 0 0 0 1 1 0
#> [578,] 1 1 1 1 1 1 1 1 1 0 1 1 1
#> [579,] 1 1 1 0 0 0 0 0 1 1 1 1 1
#> [580,] 1 1 0 1 0 1 1 1 0 0 1 1 0
#> [581,] 1 1 0 1 0 1 0 0 0 1 1 1 0
#> [582,] 1 1 1 1 1 1 1 1 0 1 1 0 1
#> [583,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [584,] 1 1 1 1 1 1 0 1 1 0 1 0 0
#> [585,] 1 1 1 1 1 1 1 0 0 1 1 1 1
#> [586,] 0 1 0 1 0 0 0 0 0 1 1 1 1
#> [587,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [588,] 0 1 1 0 0 0 0 0 1 0 0 1 0
#> [589,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [590,] 1 1 1 1 1 1 1 0 0 1 0 1 1
#> [591,] 0 0 1 0 1 0 0 1 0 0 0 0 0
#> [592,] 1 1 0 0 0 0 0 0 0 1 1 1 0
#> [593,] 1 1 1 1 1 1 1 1 0 1 1 1 1
#> [594,] 0 1 0 1 0 0 0 0 0 0 0 1 1
#> [595,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [596,] 0 0 0 0 0 0 0 0 0 1 1 1 0
#> [597,] 1 1 0 1 0 0 0 0 0 1 1 0 0
#> [598,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [599,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [600,] 0 1 0 1 1 1 1 1 1 0 0 0 0
#> [601,] 0 0 0 0 0 1 0 0 0 0 0 0 0
#> [602,] 0 1 0 1 0 1 0 0 1 0 1 1 1
#> [603,] 1 1 0 1 0 0 0 0 0 1 0 1 0
#> [604,] 1 1 0 0 0 0 0 0 0 0 0 1 0
#> [605,] 1 1 0 1 0 0 0 0 1 1 1 1 1
#> [606,] 1 1 0 1 1 0 0 0 1 1 0 1 1
#> [607,] 1 1 1 1 0 1 1 0 0 0 1 1 0
#> [608,] 0 1 1 1 1 0 1 1 1 1 0 0 0
#> [609,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [610,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [611,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [612,] 1 1 1 1 0 0 0 0 1 1 1 1 1
#> [613,] 1 1 1 1 1 0 1 1 0 1 1 1 0
#> [614,] 1 1 1 1 1 1 1 1 0 0 1 0 0
#> [615,] 1 1 1 1 0 1 0 1 0 0 1 1 0
#> [616,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [617,] 0 1 0 0 1 0 0 0 0 0 0 1 0
#> [618,] 1 1 1 1 0 1 1 1 1 0 0 1 0
#> [619,] 0 0 1 0 0 0 0 0 0 0 0 0 0
#> [620,] 1 1 0 1 1 1 1 1 0 0 1 0 0
#> [621,] 0 1 0 1 0 0 0 0 0 0 1 1 0
#> [622,] 1 1 0 1 1 1 1 1 0 1 0 1 0
#> [623,] 1 1 0 1 0 1 0 0 0 0 1 1 0
#> [624,] 0 0 0 1 0 0 1 0 0 0 0 1 0
#> [625,] 1 1 1 1 1 1 1 1 1 0 0 1 1
#> [626,] 0 1 1 1 0 0 0 0 0 0 0 1 0
#> [627,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [628,] 1 1 1 1 1 0 0 1 0 1 1 1 0
#> [629,] 0 0 0 0 0 0 0 1 0 0 1 0 1
#> [630,] 1 1 1 1 1 1 1 1 0 0 0 1 1
#> [631,] 1 1 0 1 1 1 1 1 0 1 1 1 1
#> [632,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [633,] 1 1 1 0 0 0 0 0 0 1 0 0 0
#> [634,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [635,] 1 0 0 1 1 0 0 1 1 0 0 0 1
#> [636,] 1 1 0 1 1 0 1 1 0 0 1 1 0
#> [637,] 0 1 1 1 1 1 1 1 0 0 1 1 0
#> [638,] 1 1 0 1 0 1 1 1 1 0 1 0 1
#> [639,] 0 1 1 1 1 1 1 1 1 0 1 1 0
#> [640,] 1 1 1 0 0 0 0 0 0 0 1 1 0
#> [641,] 1 1 1 1 1 1 1 1 1 0 0 1 1
#> [642,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [643,] 1 1 0 0 0 0 0 0 0 1 1 1 0
#> [644,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [645,] 0 1 1 1 1 1 1 1 0 0 0 1 1
#> [646,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [647,] 1 1 1 1 1 1 1 0 0 1 0 1 1
#> [648,] 0 1 1 1 1 1 1 1 1 1 1 1 0
#> [649,] 1 1 0 1 0 1 1 1 0 1 1 1 0
#> [650,] 0 1 1 0 0 0 0 0 0 0 0 1 0
#> [651,] 0 1 1 0 0 1 0 0 0 0 1 1 0
#> [652,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [653,] 1 1 1 1 1 0 1 0 1 1 1 1 0
#> [654,] 1 1 1 1 0 1 1 0 1 1 1 1 1
#> [655,] 1 1 0 1 0 1 1 1 0 0 1 1 0
#> [656,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [657,] 1 1 1 1 0 1 1 1 1 1 0 1 1
#> [658,] 1 1 1 1 1 1 1 1 0 0 0 0 0
#> [659,] 1 1 1 1 0 0 0 0 0 0 1 0 0
#> [660,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [661,] 0 0 0 0 0 0 0 0 0 1 0 0 1
#> [662,] 1 1 1 1 1 1 1 1 0 1 1 1 1
#> [663,] 0 1 0 1 0 1 0 0 0 0 1 1 0
#> [664,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [665,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [666,] 1 1 1 1 1 1 1 1 1 1 1 0 1
#> [667,] 1 1 0 1 1 1 1 1 1 0 0 1 0
#> [668,] 1 1 1 1 1 1 0 1 0 0 0 0 1
#> [669,] 1 1 1 1 1 0 1 1 1 1 1 0 1
#> [670,] 0 0 0 1 1 0 0 0 0 0 0 0 1
#> [671,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [672,] 0 1 1 1 1 1 1 1 0 1 0 1 0
#> [673,] 0 1 0 0 0 0 0 0 0 1 0 1 0
#> [674,] 0 1 0 1 0 1 1 1 0 1 1 1 0
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#> [676,] 1 1 1 1 1 1 0 1 1 1 0 1 1
#> [677,] 0 0 0 0 0 1 0 0 0 0 0 0 0
#> [678,] 1 1 1 1 0 1 1 1 1 0 1 1 1
#> [679,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [680,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [681,] 1 1 1 1 1 1 1 1 0 0 1 0 0
#> [682,] 1 1 1 1 1 1 1 1 1 0 1 1 1
#> [683,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [684,] 0 0 0 1 0 0 0 0 0 0 0 0 1
#> [685,] 1 1 1 1 1 0 1 1 1 0 1 1 0
#> [686,] 1 1 0 1 0 0 0 0 0 0 1 1 0
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#> [688,] 1 1 0 0 1 1 1 1 0 1 1 1 0
#> [689,] 0 1 0 0 0 0 0 0 0 0 0 0 1
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#> [691,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [692,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [693,] 1 1 1 1 1 0 0 0 0 0 1 1 1
#> [694,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [695,] 1 0 0 0 0 0 0 0 1 0 0 0 0
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#> [698,] 1 1 0 1 1 1 1 1 0 0 1 1 0
#> [699,] 1 1 1 1 1 1 1 1 0 0 1 1 1
#> [700,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [701,] 1 1 1 1 0 1 1 1 1 0 1 1 1
#> [702,] 1 1 1 1 0 1 1 1 0 1 1 1 0
#> [703,] 1 1 1 1 1 0 0 1 1 1 0 1 1
#> [704,] 0 0 0 0 0 1 0 0 0 0 0 0 0
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#> [709,] 1 1 1 1 1 1 1 1 0 0 1 1 0
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#> [713,] 0 1 0 1 0 0 0 0 0 0 1 1 1
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#> [728,] 1 1 1 1 0 1 0 0 1 1 1 0 1
#> [729,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [730,] 0 1 1 1 0 0 0 0 0 0 0 1 0
#> [731,] 0 1 1 1 1 1 1 1 0 0 0 1 0
#> [732,] 1 1 0 0 0 0 0 0 0 0 1 1 0
#> [733,] 1 0 0 1 0 0 1 0 0 1 0 1 0
#> [734,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [735,] 0 0 0 0 0 1 0 0 0 0 0 0 0
#> [736,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [737,] 0 0 0 0 0 0 0 0 0 1 0 0 1
#> [738,] 1 1 1 0 0 0 0 0 1 1 1 1 1
#> [739,] 1 0 0 1 1 0 1 1 0 0 0 0 1
#> [740,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [741,] 0 0 0 1 0 0 0 0 0 0 0 1 0
#> [742,] 1 0 1 1 0 0 0 0 1 1 1 1 0
#> [743,] 1 1 0 1 0 1 1 1 0 0 0 1 1
#> [744,] 0 0 1 0 0 0 0 0 0 0 0 0 0
#> [745,] 1 1 0 1 1 1 1 1 1 0 1 1 1
#> [746,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [747,] 0 0 0 0 0 1 0 0 0 0 0 0 0
#> [748,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [749,] 1 1 1 1 0 1 1 1 0 1 1 0 0
#> [750,] 1 1 1 1 0 1 1 1 1 1 1 1 1
#> [751,] 0 1 0 1 0 0 1 0 1 0 0 1 0
#> [752,] 0 1 0 1 0 1 1 1 0 1 0 0 0
#> [753,] 1 1 0 1 1 1 0 0 1 0 0 0 0
#> [754,] 0 0 0 0 0 1 0 0 0 0 0 1 0
#> [755,] 1 0 1 1 1 1 1 1 0 1 0 1 0
#> [756,] 1 1 0 1 1 1 1 1 0 1 1 1 0
#> [757,] 1 1 1 1 1 0 0 0 0 0 1 1 1
#> [758,] 1 1 0 1 1 0 0 0 1 0 1 1 1
#> [759,] 1 1 0 1 0 1 0 0 1 1 1 1 1
#> [760,] 0 1 1 1 1 1 1 1 0 1 0 1 0
#> [761,] 1 1 0 1 0 1 1 1 1 1 1 1 1
#> [762,] 1 1 1 1 1 0 1 1 1 1 1 1 1
#> [763,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [764,] 1 1 1 1 1 1 1 1 0 1 1 1 1
#> [765,] 0 1 1 1 1 0 1 1 0 1 1 1 0
#> [766,] 1 1 0 1 1 1 1 1 1 1 1 1 1
#> [767,] 1 1 1 1 1 0 1 1 1 0 1 1 1
#> [768,] 1 1 1 0 0 0 0 0 0 1 0 1 0
#> [769,] 0 1 0 1 0 0 0 0 0 1 0 1 1
#> [770,] 0 1 0 0 0 0 0 0 0 0 0 0 0
#> [771,] 1 0 1 1 0 0 1 1 0 1 0 1 1
#> [772,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [773,] 0 1 1 1 1 0 1 0 1 1 0 1 1
#> [774,] 0 0 0 1 0 0 0 0 0 0 0 0 0
#> [775,] 1 1 0 1 1 0 0 0 0 0 1 1 0
#> [776,] 1 1 0 1 1 1 1 1 0 1 1 1 1
#> [777,] 0 0 1 0 0 0 0 0 0 0 0 0 0
#> [778,] 1 1 1 0 0 0 0 0 1 1 0 1 1
#> [779,] 1 1 1 1 0 1 1 1 1 1 1 1 1
#> [780,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [781,] 0 1 1 1 1 1 0 0 0 1 1 1 1
#> [782,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [783,] 0 0 1 0 0 0 0 0 0 1 1 1 0
#> [784,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [785,] 0 0 0 0 0 0 0 0 0 0 1 0 0
#> [786,] 1 1 1 0 0 0 0 1 0 0 0 1 0
#> [787,] 0 1 1 1 1 1 1 1 0 1 0 1 0
#> [788,] 1 1 1 1 1 1 1 1 1 0 1 1 1
#> [789,] 0 0 0 0 0 0 0 0 0 1 0 0 0
#> [790,] 1 1 1 1 1 0 1 1 1 1 0 1 1
#> [791,] 1 1 1 1 0 1 0 1 1 1 1 1 1
#> [792,] 0 1 0 1 1 0 1 1 1 1 1 1 1
#> [793,] 1 1 1 1 0 0 0 0 0 1 1 1 0
#> [794,] 1 1 1 1 1 0 1 1 0 1 1 1 0
#> [795,] 1 1 1 1 1 0 0 0 1 0 1 1 1
#> [796,] 0 1 1 1 1 1 1 1 0 1 0 0 0
#> [797,] 1 1 1 1 0 0 0 0 0 1 1 1 0
#> [798,] 1 1 0 0 0 1 0 0 0 1 0 1 0
#> [799,] 0 0 1 0 0 0 0 0 0 0 0 0 0
#> [800,] 1 1 0 1 0 0 1 1 0 0 0 1 1
#> [801,] 1 1 0 0 1 1 1 1 1 1 1 0 1
#> [802,] 0 0 0 1 0 0 0 0 0 1 0 1 0
#> [803,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [804,] 1 1 1 1 1 1 1 1 0 0 0 1 1
#> [805,] 0 0 1 0 0 1 0 0 0 0 0 0 1
#> [806,] 1 1 0 1 1 1 1 0 0 0 1 1 0
#> [807,] 1 1 1 1 1 1 1 0 0 0 0 1 0
#> [808,] 1 1 0 1 0 0 0 0 0 0 1 0 0
#> [809,] 1 1 1 1 1 1 1 1 0 0 0 1 1
#> [810,] 0 1 1 1 1 1 1 0 0 0 0 1 0
#> [811,] 1 0 1 1 1 0 0 0 1 0 1 0 1
#> [812,] 1 1 1 1 0 1 0 1 1 1 1 0 1
#> [813,] 1 1 1 1 1 1 0 1 1 0 1 1 1
#> [814,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [815,] 0 0 1 0 0 0 0 0 1 1 0 0 0
#> [816,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [817,] 1 1 0 1 0 0 1 0 0 1 1 1 1
#> [818,] 1 1 0 1 0 1 0 0 0 1 0 1 0
#> [819,] 1 1 0 1 1 1 1 1 0 0 1 1 0
#> [820,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [821,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [822,] 0 1 0 0 1 1 1 1 0 1 1 1 0
#> [823,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [824,] 0 1 0 1 0 1 1 1 0 1 0 0 0
#> [825,] 1 0 1 1 1 1 1 1 1 0 0 1 0
#> [826,] 1 1 1 1 0 0 0 0 1 1 1 1 1
#> [827,] 1 1 0 1 0 1 0 0 0 0 0 1 0
#> [828,] 1 1 1 1 1 0 0 1 0 0 1 1 1
#> [829,] 1 1 1 1 1 1 1 0 0 1 1 1 0
#> [830,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [831,] 1 1 1 1 0 1 1 0 0 1 0 1 1
#> [832,] 0 1 1 1 0 0 0 0 1 0 1 1 1
#> [833,] 0 0 1 0 0 1 0 0 0 1 0 0 0
#> [834,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [835,] 1 1 0 1 1 1 1 0 0 1 0 0 0
#> [836,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [837,] 1 1 0 1 0 0 0 0 1 1 1 1 0
#> [838,] 1 0 1 1 0 0 0 0 1 0 1 1 1
#> [839,] 1 1 0 1 0 0 0 0 0 1 1 1 1
#> [840,] 0 1 1 0 0 0 0 0 0 1 0 1 1
#> [841,] 1 1 1 1 1 1 1 0 0 0 0 0 0
#> [842,] 1 1 1 1 1 0 1 0 1 1 1 1 0
#> [843,] 1 0 0 1 0 0 0 0 0 1 1 1 0
#> [844,] 0 1 1 1 0 1 1 1 1 1 1 1 1
#> [845,] 0 1 0 1 0 0 0 0 1 1 1 1 1
#> [846,] 0 0 0 0 0 0 0 0 0 0 1 1 0
#> [847,] 1 1 0 1 0 0 0 0 0 1 0 1 0
#> [848,] 1 1 0 1 1 1 1 1 0 1 0 1 0
#> [849,] 1 1 1 0 0 1 0 0 0 0 0 0 0
#> [850,] 0 0 1 1 1 1 1 1 0 1 1 1 1
#> [851,] 1 1 1 1 1 1 1 0 0 1 0 1 0
#> [852,] 0 0 0 1 0 0 0 0 0 1 1 1 0
#> [853,] 0 1 0 0 0 0 0 0 0 1 0 0 0
#> [854,] 0 0 0 0 0 0 0 0 1 0 0 0 0
#> [855,] 0 1 0 1 1 1 1 1 0 0 1 1 0
#> [856,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [857,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [858,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [859,] 0 1 1 1 1 0 1 1 0 1 0 1 0
#> [860,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [861,] 1 1 0 0 0 0 0 0 0 1 0 1 1
#> [862,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [863,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [864,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [865,] 0 1 0 0 0 0 0 0 1 0 1 0 0
#> [866,] 0 1 0 1 1 0 0 0 0 0 1 1 0
#> [867,] 1 1 1 1 0 0 0 0 0 0 0 0 0
#> [868,] 1 1 1 1 0 0 0 0 0 1 1 1 0
#> [869,] 0 1 1 1 1 1 1 1 0 0 1 0 0
#> [870,] 0 0 1 1 0 0 0 0 0 0 0 0 0
#> [871,] 1 0 1 1 0 0 0 0 0 1 0 1 0
#> [872,] 1 1 1 1 0 0 0 0 0 0 1 1 0
#> [873,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [874,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [875,] 1 1 1 0 1 1 1 1 1 1 1 1 1
#> [876,] 1 1 1 1 0 1 1 1 0 1 0 1 0
#> [877,] 1 1 1 1 0 1 1 1 1 1 1 1 1
#> [878,] 1 1 0 1 0 0 0 0 0 1 1 1 0
#> [879,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [880,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [881,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [882,] 0 0 0 0 1 0 0 0 0 0 0 0 0
#> [883,] 1 1 0 1 1 1 1 1 0 0 0 0 0
#> [884,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [885,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [886,] 0 1 1 1 0 1 0 0 1 1 1 1 1
#> [887,] 1 1 0 1 0 0 0 1 0 0 1 1 0
#> [888,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [889,] 1 1 1 1 1 1 0 1 1 1 1 1 1
#> [890,] 1 1 0 1 0 0 0 0 0 1 0 1 0
#> [891,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [892,] 1 1 1 1 1 1 1 1 1 1 0 0 1
#> [893,] 1 0 1 1 0 0 0 0 1 0 1 1 1
#> [894,] 1 1 1 0 0 0 0 0 0 1 0 1 0
#> [895,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [896,] 1 1 1 1 1 1 1 0 0 1 0 1 0
#> [897,] 1 1 0 1 1 0 1 1 0 0 1 1 1
#> [898,] 1 1 0 1 0 0 0 0 1 1 1 1 1
#> [899,] 1 1 1 0 1 1 1 1 0 1 0 1 0
#> [900,] 1 1 1 1 1 1 0 1 0 1 1 1 1
#> [901,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [902,] 1 1 1 0 0 0 0 0 0 1 0 1 1
#> [903,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [904,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [905,] 1 1 0 1 0 1 1 1 0 1 0 0 0
#> [906,] 0 1 1 1 0 0 0 0 1 0 1 1 1
#> [907,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [908,] 0 1 1 1 1 1 1 1 0 0 0 1 1
#> [909,] 1 1 1 1 1 1 0 1 1 1 1 1 1
#> [910,] 0 0 0 0 0 1 0 0 0 0 0 1 0
#> [911,] 0 0 0 0 0 0 0 0 0 1 0 0 0
#> [912,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [913,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [914,] 1 1 0 1 0 0 0 0 0 0 1 1 0
#> [915,] 1 1 1 1 1 1 1 1 0 1 0 0 0
#> [916,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [917,] 1 0 0 1 0 0 0 0 0 1 0 1 0
#> [918,] 1 1 0 1 0 0 0 0 1 1 1 1 1
#> [919,] 1 0 1 1 1 1 0 1 0 0 0 1 0
#> [920,] 1 1 1 1 1 0 1 1 0 0 1 1 0
#> [921,] 1 1 0 0 0 0 0 0 0 1 1 1 0
#> [922,] 1 0 0 0 0 0 0 0 0 0 1 1 0
#> [923,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [924,] 1 1 0 1 1 1 1 1 0 1 1 1 1
#> [925,] 1 1 0 1 1 0 0 0 0 1 1 1 1
#> [926,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [927,] 0 1 1 0 0 0 0 0 0 1 1 1 0
#> [928,] 1 1 1 0 1 1 1 1 0 0 1 1 1
#> [929,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [930,] 1 1 1 1 1 1 1 1 0 0 1 1 1
#> [931,] 1 1 0 1 1 1 1 1 0 1 0 1 0
#> [932,] 0 1 0 1 0 0 0 0 0 0 1 1 1
#> [933,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [934,] 0 1 0 1 0 0 0 0 0 0 0 1 0
#> [935,] 1 1 1 1 1 0 1 0 0 1 0 1 0
#> [936,] 1 1 0 1 1 1 1 0 0 1 1 1 0
#> [937,] 0 1 1 1 0 1 0 0 0 0 0 1 0
#> [938,] 1 1 1 1 0 1 1 1 0 0 0 1 0
#> [939,] 0 1 1 1 0 0 0 0 0 0 1 1 0
#> [940,] 0 0 1 0 0 0 0 0 1 0 0 0 0
#> [941,] 1 1 1 1 1 1 1 1 0 1 0 1 1
#> [942,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [943,] 1 1 0 0 0 1 0 0 0 1 1 1 0
#> [944,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [945,] 1 1 0 1 1 0 1 1 0 0 1 1 0
#> [946,] 0 1 0 0 0 0 0 0 0 0 0 1 0
#> [947,] 1 0 1 0 0 0 0 0 0 0 0 0 0
#> [948,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [949,] 1 1 0 1 0 0 0 0 0 0 1 1 0
#> [950,] 0 1 0 1 1 1 1 0 0 0 0 0 0
#> [951,] 0 0 0 1 0 1 0 0 0 0 0 0 0
#> [952,] 1 1 0 1 0 1 0 0 0 1 1 1 0
#> [953,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [954,] 1 0 0 1 0 0 0 0 1 1 1 1 1
#> [955,] 1 1 1 1 0 0 0 0 0 1 1 1 1
#> [956,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [957,] 0 1 1 1 0 1 1 1 0 0 0 1 0
#> [958,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [959,] 0 0 1 0 0 0 0 0 0 1 1 1 1
#> [960,] 1 1 1 1 0 0 0 0 1 0 1 1 1
#> [961,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [962,] 1 1 1 1 0 0 0 0 1 0 1 1 1
#> [963,] 1 1 1 1 1 1 1 0 1 1 1 1 1
#> [964,] 0 0 1 0 0 0 0 0 0 0 0 0 0
#> [965,] 1 1 1 1 1 1 1 1 0 0 1 1 0
#> [966,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [967,] 0 1 1 0 0 0 0 0 0 0 1 1 0
#> [968,] 1 1 1 1 1 1 1 1 0 1 0 1 0
#> [969,] 1 1 0 1 0 0 0 0 0 1 0 1 0
#> [970,] 1 1 0 1 1 1 1 1 0 0 1 1 0
#> [971,] 0 1 0 1 0 0 0 1 0 0 0 1 1
#> [972,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [973,] 1 0 0 1 1 1 1 1 0 0 0 1 0
#> [974,] 1 1 1 1 1 1 1 1 1 1 1 1 0
#> [975,] 0 0 0 1 0 0 0 0 1 0 1 1 1
#> [976,] 0 0 0 1 1 0 0 0 0 0 0 0 1
#> [977,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [978,] 1 1 1 1 0 1 1 1 0 0 0 1 1
#> [979,] 1 1 1 1 0 0 0 0 1 1 0 0 1
#> [980,] 0 1 1 1 1 1 1 0 0 0 1 1 0
#> [981,] 1 1 1 1 0 0 0 0 1 0 1 0 1
#> [982,] 1 1 1 1 1 1 1 1 0 1 1 1 0
#> [983,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [984,] 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [985,] 0 1 0 0 0 0 0 0 0 0 0 1 0
#> [986,] 1 1 1 1 1 1 1 1 1 1 0 1 1
#> [987,] 1 1 1 1 1 0 0 1 1 1 0 1 1
#> [988,] 0 0 1 0 0 0 0 0 0 1 1 1 0
#> [989,] 1 0 0 1 0 0 0 0 1 1 0 1 0
#> [990,] 1 1 1 1 1 0 1 1 0 0 0 0 0
#> [991,] 1 0 0 1 1 1 0 1 0 1 1 0 0
#> [992,] 1 1 0 1 0 0 0 0 0 1 0 1 0
#> [993,] 1 1 1 0 0 1 1 0 0 0 0 1 0
#> [994,] 1 1 0 1 0 0 0 0 0 0 1 1 0
#> [995,] 1 1 1 1 1 1 0 0 1 1 1 1 1
#> [996,] 1 1 1 1 1 1 1 1 0 0 0 1 0
#> [997,] 1 1 1 1 1 1 1 1 0 1 1 0 0
#> [998,] 1 1 1 1 1 0 1 0 1 1 1 1 1
#> [999,] 1 1 0 1 1 1 1 1 0 0 0 1 0
#> [1000,] 1 1 1 1 0 1 1 0 0 1 1 1 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 1 1 0 0 0 1 0 0 0 0 0 1
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 0 0 0 0 0 0 1 1 0 0 0 0
#> [4,] 1 1 0 0 0 0 1 1 0 1 0 0
#> [5,] 1 0 1 1 1 0 0 1 1 1 0 0
#> [6,] 0 1 0 1 0 0 1 0 0 1 1 1
#> [7,] 1 1 0 1 1 1 1 0 0 0 0 1
#> [8,] 1 0 0 0 0 1 0 0 0 0 0 1
#> [9,] 1 1 1 1 1 1 1 1 1 1 0 1
#> [10,] 1 1 0 0 0 0 1 0 0 0 0 1
#> [11,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [12,] 1 1 1 1 1 1 1 1 1 1 0 1
#> [13,] 1 1 0 0 0 0 1 1 1 1 0 1
#> [14,] 1 0 0 0 0 0 0 0 0 1 0 0
#> [15,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 1 0 0 0 0 1 0 0 0 0 1 0
#> [17,] 0 0 1 0 0 0 1 0 0 0 0 1
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [20,] 1 1 0 1 0 0 0 1 0 0 0 1
#> [21,] 1 0 1 1 1 1 0 1 1 1 0 0
#> [22,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [23,] 0 0 1 0 0 1 0 0 0 0 1 1
#> [24,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [26,] 1 1 0 0 0 1 0 1 0 1 1 1
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [29,] 0 1 0 0 0 0 0 0 0 0 1 1
#> [30,] 1 1 1 0 0 0 1 0 0 0 0 1
#> [31,] 1 1 0 0 0 1 1 1 0 0 0 1
#> [32,] 0 0 0 0 0 1 1 0 0 0 1 0
#> [33,] 0 0 0 1 1 1 0 1 1 1 1 1
#> [34,] 1 1 0 0 1 0 1 1 0 1 0 0
#> [35,] 1 1 1 1 0 0 1 1 0 0 0 1
#> [36,] 1 0 1 1 1 1 0 1 1 1 1 1
#> [37,] 1 1 0 0 0 0 1 1 0 1 0 1
#> [38,] 1 1 1 1 0 0 1 1 0 0 0 1
#> [39,] 1 0 0 0 0 1 0 0 0 0 0 1
#> [40,] 0 0 0 0 1 1 0 0 0 0 0 1
#> [41,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [42,] 1 1 0 1 0 1 0 1 1 0 1 1
#> [43,] 1 0 0 1 0 1 1 0 0 0 0 1
#> [44,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [45,] 1 1 1 0 0 0 1 0 0 0 0 1
#> [46,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [47,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [48,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [49,] 1 0 0 0 1 0 1 0 0 0 0 1
#> [50,] 0 1 0 0 0 1 1 1 0 0 0 1
#> [51,] 1 0 1 1 1 1 1 1 1 1 1 1
#> [52,] 1 1 1 0 1 1 0 1 0 0 0 1
#> [53,] 0 0 1 1 1 1 0 0 1 1 1 1
#> [54,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [55,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 1 1 0 0 0 0 1 1 0 0 1 0
#> [58,] 0 1 0 1 1 1 0 1 1 1 1 1
#> [59,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 1 1 0 0 0 0 1 1 1 0 0 1
#> [62,] 1 1 0 0 0 0 1 0 0 0 0 1
#> [63,] 1 1 0 0 0 1 0 1 1 0 0 1
#> [64,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [65,] 1 1 1 0 0 1 1 0 0 0 0 1
#> [66,] 1 0 0 0 0 0 0 0 1 0 0 1
#> [67,] 1 1 0 0 0 0 1 0 0 0 1 1
#> [68,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [69,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [70,] 1 1 0 0 0 0 1 1 1 0 0 0
#> [71,] 0 0 0 0 0 1 0 0 0 0 1 0
#> [72,] 1 1 1 0 0 0 1 1 0 0 0 0
#> [73,] 0 0 1 1 1 1 1 1 1 1 1 1
#> [74,] 1 0 0 0 0 1 1 0 0 1 0 1
#> [75,] 1 1 1 1 1 0 1 1 1 1 0 1
#> [76,] 1 1 1 1 1 1 0 1 1 1 0 1
#> [77,] 0 1 0 0 0 0 1 1 0 0 0 1
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [79,] 0 0 0 0 1 0 1 0 0 0 0 0
#> [80,] 0 0 0 1 1 1 0 0 0 0 0 1
#> [81,] 0 1 0 0 0 1 1 0 0 0 0 1
#> [82,] 1 0 0 1 0 1 0 0 0 0 0 1
#> [83,] 0 0 0 0 1 1 0 0 0 1 0 1
#> [84,] 0 0 1 0 0 0 1 0 0 0 0 0
#> [85,] 0 0 1 1 1 0 0 0 1 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 1 0
#> [87,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [88,] 0 1 0 0 0 0 0 0 0 0 0 1
#> [89,] 0 0 1 0 0 0 0 0 0 1 0 0
#> [90,] 1 1 0 1 0 0 1 1 0 0 0 0
#> [91,] 1 0 0 0 0 1 0 0 0 0 0 1
#> [92,] 0 0 0 0 0 0 0 0 0 1 0 0
#> [93,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [94,] 0 0 0 1 0 0 0 1 1 1 0 0
#> [95,] 1 0 1 1 1 1 1 1 1 1 1 1
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [97,] 1 0 0 0 0 0 0 0 0 0 1 0
#> [98,] 0 1 0 0 0 0 1 1 1 1 1 1
#> [99,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [100,] 1 1 0 0 0 0 1 1 1 0 0 0
#> [101,] 1 1 1 1 1 1 1 1 1 1 0 0
#> [102,] 1 0 1 0 0 0 0 0 0 1 0 1
#> [103,] 1 1 1 1 0 0 1 0 0 0 0 1
#> [104,] 1 1 1 0 0 0 1 1 0 1 1 1
#> [105,] 1 1 0 1 1 1 0 0 1 0 1 1
#> [106,] 0 0 1 0 0 0 0 0 0 1 1 0
#> [107,] 1 1 0 1 0 0 0 1 0 1 0 1
#> [108,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [109,] 1 1 0 1 0 0 1 1 0 0 1 1
#> [110,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [111,] 1 0 0 0 0 0 1 1 0 0 0 1
#> [112,] 0 1 1 1 1 1 1 1 1 1 1 1
#> [113,] 1 1 1 0 0 1 1 1 0 0 0 1
#> [114,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [115,] 0 0 0 0 0 0 0 0 1 0 1 1
#> [116,] 1 1 1 0 0 0 0 1 0 0 1 1
#> [117,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [118,] 0 1 1 1 1 1 1 1 1 1 1 1
#> [119,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [120,] 1 1 0 0 0 1 1 1 0 1 0 1
#> [121,] 1 0 1 1 1 1 1 1 1 1 1 1
#> [122,] 0 1 1 1 1 1 0 0 1 0 0 0
#> [123,] 0 1 1 1 1 1 1 1 1 1 1 1
#> [124,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [125,] 0 1 1 1 1 1 0 0 1 1 1 1
#> [126,] 1 0 1 0 1 1 0 0 1 1 1 0
#> [127,] 0 0 0 0 1 0 0 0 0 0 0 0
#> [128,] 0 0 0 0 0 1 0 0 0 0 1 0
#> [129,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [130,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [131,] 0 0 1 1 1 1 0 0 1 1 1 1
#> [132,] 1 1 0 0 0 0 0 1 1 0 0 1
#> [133,] 0 1 1 1 1 1 1 1 1 1 1 1
#> [134,] 1 1 0 0 0 0 1 0 0 1 0 1
#> [135,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [136,] 1 1 1 1 0 0 1 1 0 0 1 1
#> [137,] 1 0 1 0 0 0 1 1 0 0 0 1
#> [138,] 1 0 0 0 0 0 1 1 0 0 0 0
#> [139,] 1 1 0 0 0 0 1 1 0 0 1 1
#> [140,] 0 0 1 1 1 1 1 0 1 1 1 1
#> [141,] 0 0 0 0 0 1 0 1 0 0 0 0
#> [142,] 0 0 0 0 0 0 0 0 0 0 1 0
#> [143,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [144,] 0 0 1 0 0 0 0 0 0 0 0 0
#> [145,] 1 1 1 0 0 1 1 1 0 0 0 1
#> [146,] 1 1 0 0 1 0 1 0 0 0 0 1
#> [147,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [148,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [149,] 1 1 0 0 0 1 1 1 0 0 1 1
#> [150,] 1 1 0 0 0 0 0 1 0 0 0 1
#> [151,] 0 0 0 1 1 1 1 1 1 1 1 1
#> [152,] 0 0 0 0 1 1 0 0 0 0 0 1
#> [153,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [154,] 1 1 0 0 0 1 0 0 0 0 0 1
#> [155,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [156,] 0 0 1 1 1 1 1 1 1 1 1 1
#> [157,] 0 0 0 0 0 1 0 0 1 0 1 1
#> [158,] 1 1 1 0 0 0 0 1 0 0 1 1
#> [159,] 1 1 0 1 0 1 1 1 0 0 1 1
#> [160,] 0 1 1 0 1 1 1 1 1 1 1 1
#> [161,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [162,] 0 1 0 0 0 0 1 1 0 0 0 1
#> [163,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [164,] 1 1 0 0 0 0 1 1 1 0 0 1
#> [165,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [166,] 0 0 0 0 0 1 0 0 0 1 0 1
#> [167,] 1 1 1 0 0 0 1 1 0 0 0 0
#> [168,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [169,] 1 1 0 1 0 0 1 1 0 1 0 1
#> [170,] 0 0 0 0 0 0 0 0 0 1 0 1
#> [171,] 1 1 1 1 0 1 1 1 1 1 1 1
#> [172,] 1 1 1 0 0 1 1 1 0 0 0 0
#> [173,] 0 1 0 0 0 0 1 0 0 0 0 0
#> [174,] 1 1 0 0 1 0 1 1 0 0 1 1
#> [175,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [176,] 0 0 1 1 1 0 0 0 1 1 1 1
#> [177,] 1 1 1 0 0 1 1 1 0 0 0 1
#> [178,] 1 0 0 0 0 1 0 0 0 1 1 1
#> [179,] 0 1 0 1 1 1 1 1 1 1 1 1
#> [180,] 1 0 1 0 0 0 1 1 0 0 0 1
#> [181,] 1 0 0 0 0 0 0 1 0 1 0 1
#> [182,] 0 0 0 0 0 0 0 0 0 1 1 0
#> [183,] 1 1 0 0 0 0 1 1 0 1 0 1
#> [184,] 0 0 0 0 1 0 0 0 0 0 0 1
#> [185,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [186,] 1 1 1 0 0 0 1 1 0 0 0 1
#> [187,] 1 0 1 0 0 0 1 0 0 0 1 0
#> [188,] 1 1 1 0 0 0 1 0 0 0 0 1
#> [189,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [190,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [191,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [192,] 0 0 1 0 0 0 0 0 0 0 0 0
#> [193,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [194,] 0 0 0 0 0 1 1 0 0 0 0 1
#> [195,] 1 1 1 0 0 0 1 1 0 0 0 1
#> [196,] 1 0 1 0 0 1 1 0 1 0 1 1
#> [197,] 1 1 1 0 0 1 0 1 0 0 0 0
#> [198,] 1 0 1 0 0 1 0 0 0 0 0 0
#> [199,] 0 0 1 1 0 1 0 0 1 1 0 1
#> [200,] 0 0 0 0 0 1 0 0 0 0 1 0
#> [201,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [202,] 1 1 0 0 0 0 1 1 0 0 1 1
#> [203,] 1 1 1 0 0 0 1 1 1 0 1 1
#> [204,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [205,] 1 0 0 0 1 0 0 0 0 0 0 0
#> [206,] 0 1 1 1 1 1 0 1 1 1 0 1
#> [207,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [208,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [209,] 1 1 1 1 1 1 1 1 1 1 0 1
#> [210,] 1 1 1 1 1 1 1 1 1 1 0 1
#> [211,] 1 1 0 1 0 0 1 1 0 0 0 0
#> [212,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [213,] 1 0 0 0 0 0 0 0 0 1 1 0
#> [214,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [215,] 0 0 0 0 0 1 1 0 0 0 1 1
#> [216,] 1 0 1 1 0 1 0 0 1 1 1 1
#> [217,] 0 1 1 1 1 1 1 1 1 1 1 0
#> [218,] 1 0 0 1 0 1 0 0 0 0 0 1
#> [219,] 1 1 0 0 0 0 0 0 0 0 0 1
#> [220,] 1 1 0 0 0 0 1 1 0 0 1 1
#> [221,] 1 1 0 1 0 1 0 1 0 0 0 0
#> [222,] 1 0 0 0 0 1 0 0 0 0 1 1
#> [223,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [224,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [225,] 0 0 0 0 0 0 0 0 1 0 0 0
#> [226,] 1 0 1 1 1 1 0 1 1 1 1 1
#> [227,] 1 1 1 1 1 1 0 1 1 1 1 1
#> [228,] 1 1 1 0 1 1 1 1 1 1 1 1
#> [229,] 1 1 1 1 1 1 0 1 1 0 1 1
#> [230,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [231,] 0 0 0 0 0 0 0 0 1 0 0 1
#> [232,] 0 0 0 0 0 0 0 0 0 0 1 0
#> [233,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [234,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [235,] 1 1 0 1 0 0 1 1 0 1 0 0
#> [236,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [237,] 1 0 0 0 0 0 0 0 0 1 0 1
#> [238,] 1 1 1 0 1 1 1 1 0 0 0 0
#> [239,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [240,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [241,] 1 1 0 0 0 1 1 1 0 1 0 1
#> [242,] 1 1 0 0 1 0 1 0 0 0 0 1
#> [243,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [244,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [245,] 1 0 0 0 0 1 1 0 1 0 0 1
#> [246,] 1 0 0 0 0 1 1 1 0 0 0 1
#> [247,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [248,] 0 0 0 1 1 0 0 0 0 1 1 1
#> [249,] 0 0 1 0 0 0 0 0 0 0 1 0
#> [250,] 0 0 1 1 1 1 0 0 1 1 1 1
#> [251,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [252,] 1 1 0 0 0 0 1 0 0 0 0 1
#> [253,] 0 0 0 0 0 0 1 0 0 0 0 0
#> [254,] 1 1 1 0 1 0 1 0 1 1 1 1
#> [255,] 1 1 0 1 0 0 1 1 0 0 0 1
#> [256,] 1 1 1 0 1 1 1 1 0 1 0 1
#> [257,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [258,] 1 1 0 0 1 0 1 1 0 0 1 1
#> [259,] 1 1 1 0 1 1 1 1 1 1 1 1
#> [260,] 1 1 1 1 1 1 0 1 1 1 1 0
#> [261,] 1 0 0 0 1 0 0 0 0 1 0 0
#> [262,] 1 1 0 0 0 1 1 0 0 0 0 1
#> [263,] 1 0 0 0 0 0 0 0 1 1 0 1
#> [264,] 1 1 0 1 1 1 0 1 1 1 1 1
#> [265,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [266,] 1 1 0 1 0 1 1 1 0 0 0 1
#> [267,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [268,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [269,] 1 1 1 1 1 1 1 0 1 0 1 1
#> [270,] 0 1 1 0 1 1 1 1 1 1 0 1
#> [271,] 1 1 1 1 1 1 0 1 1 1 1 1
#> [272,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [273,] 1 1 1 0 0 0 1 1 0 0 1 1
#> [274,] 0 1 1 1 1 1 1 1 1 1 1 1
#> [275,] 0 1 1 1 1 1 0 1 1 1 1 1
#> [276,] 1 0 0 1 0 0 0 0 0 0 0 1
#> [277,] 0 0 0 1 0 0 0 0 0 1 0 0
#> [278,] 0 0 1 0 1 0 0 0 0 0 0 0
#> [279,] 1 1 1 1 0 1 1 1 1 1 1 1
#> [280,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [281,] 0 0 1 1 1 1 0 1 1 1 1 1
#> [282,] 1 0 1 1 0 1 0 0 0 0 1 1
#> [283,] 1 1 1 0 0 1 1 1 0 1 0 1
#> [284,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [285,] 1 1 1 1 0 1 0 1 0 0 0 1
#> [286,] 1 0 0 0 0 1 0 0 0 0 0 1
#> [287,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [288,] 1 1 0 0 1 1 1 1 0 0 0 1
#> [289,] 0 0 0 0 1 1 0 0 0 0 0 1
#> [290,] 0 0 0 0 0 1 0 0 1 1 0 1
#> [291,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [292,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [293,] 0 0 0 0 0 1 0 0 0 0 1 1
#> [294,] 1 0 0 0 0 0 1 0 0 1 0 1
#> [295,] 1 0 0 1 1 1 0 0 1 1 1 1
#> [296,] 0 0 0 0 1 0 0 0 0 0 0 1
#> [297,] 1 1 1 0 1 0 0 1 0 0 0 1
#> [298,] 1 0 1 0 0 1 0 0 0 0 1 1
#> [299,] 1 0 0 0 0 0 0 0 0 0 1 1
#> [300,] 1 0 1 0 0 1 1 1 0 0 0 1
#> [301,] 1 0 0 0 0 0 0 1 0 0 0 0
#> [302,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [303,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [304,] 1 0 0 0 0 0 1 1 0 0 1 0
#> [305,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [306,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [307,] 1 1 0 0 0 1 0 1 0 0 0 1
#> [308,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [309,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [310,] 1 0 1 1 0 1 1 1 1 1 1 1
#> [311,] 0 0 0 0 0 0 0 0 1 1 0 1
#> [312,] 1 1 1 0 0 1 1 1 0 0 0 1
#> [313,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [314,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [315,] 1 1 1 0 1 1 0 1 1 1 1 1
#> [316,] 1 1 1 1 0 1 1 1 1 1 1 1
#> [317,] 0 0 0 0 0 0 0 0 0 1 0 0
#> [318,] 1 1 0 0 0 1 1 1 0 0 1 1
#> [319,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [320,] 0 0 0 0 0 0 1 0 0 0 0 0
#> [321,] 1 0 0 1 0 0 0 1 0 0 0 0
#> [322,] 1 1 0 0 0 1 1 1 0 0 0 1
#> [323,] 1 0 0 0 0 0 1 1 0 0 0 0
#> [324,] 1 1 1 1 1 1 0 0 1 1 1 0
#> [325,] 1 1 1 0 0 0 1 1 0 0 0 1
#> [326,] 0 1 0 0 0 0 1 0 0 0 0 0
#> [327,] 0 1 0 1 0 0 1 0 0 0 0 1
#> [328,] 1 1 1 0 0 0 1 0 0 0 0 1
#> [329,] 0 1 1 1 1 1 1 1 1 1 1 1
#> [330,] 1 1 0 0 1 0 1 0 0 0 0 1
#> [331,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [332,] 1 1 1 1 1 0 1 1 1 1 0 1
#> [333,] 1 1 0 0 1 0 1 1 0 0 0 1
#> [334,] 1 1 1 0 0 0 1 1 0 0 0 1
#> [335,] 0 0 0 0 0 0 0 0 1 0 0 1
#> [336,] 1 1 1 1 0 1 1 1 1 1 0 1
#> [337,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [338,] 1 1 1 1 1 1 1 1 1 0 1 1
#> [339,] 1 1 0 0 0 0 1 0 1 0 0 1
#> [340,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [341,] 1 0 0 1 0 0 1 0 1 1 0 1
#> [342,] 1 1 1 0 0 1 1 0 0 0 0 1
#> [343,] 1 1 0 0 1 0 0 0 0 0 0 1
#> [344,] 0 0 1 0 0 0 0 0 0 0 0 1
#> [345,] 0 0 0 0 0 0 1 0 0 0 0 0
#> [346,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [347,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [348,] 0 0 1 0 1 1 0 0 0 0 0 0
#> [349,] 1 0 0 0 0 1 1 1 0 0 0 1
#> [350,] 1 1 1 1 1 1 1 1 1 1 0 1
#> [351,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [352,] 0 0 0 0 0 0 0 0 0 1 0 1
#> [353,] 1 0 0 0 1 0 0 0 0 0 0 1
#> [354,] 0 0 0 0 0 0 0 0 0 1 0 0
#> [355,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [356,] 1 0 0 0 0 0 0 0 1 0 0 0
#> [357,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [358,] 1 0 0 0 1 0 0 0 0 0 0 1
#> [359,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [360,] 1 0 0 1 0 1 1 0 0 0 0 1
#> [361,] 1 1 0 0 0 1 1 1 0 0 0 1
#> [362,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [363,] 0 0 0 1 0 0 1 0 0 0 0 0
#> [364,] 1 1 1 1 1 1 0 0 1 1 0 1
#> [365,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [366,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [367,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [370,] 1 1 1 0 0 0 1 1 0 0 1 1
#> [371,] 1 1 0 0 0 0 1 0 0 0 0 1
#> [372,] 0 0 0 0 0 0 1 0 0 0 0 0
#> [373,] 0 0 1 0 1 1 0 0 1 1 1 1
#> [374,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [375,] 1 1 0 0 0 1 1 1 0 0 0 0
#> [376,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [377,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [378,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [379,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [380,] 1 1 0 0 0 0 1 0 0 0 1 1
#> [381,] 1 1 0 0 1 1 1 1 0 0 1 1
#> [382,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [383,] 1 1 0 0 0 1 1 1 1 0 1 1
#> [384,] 1 1 0 1 1 1 1 1 1 1 1 1
#> [385,] 1 0 1 0 0 0 0 0 0 0 0 1
#> [386,] 1 1 1 1 0 1 1 1 1 1 1 1
#> [387,] 0 0 0 0 0 1 0 0 0 0 0 0
#> [388,] 1 1 1 0 0 0 0 1 0 0 1 1
#> [389,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [390,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [391,] 1 1 0 1 1 1 1 1 1 1 1 0
#> [392,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [393,] 0 1 1 0 0 1 1 1 1 0 0 1
#> [394,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [395,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [396,] 0 0 1 0 0 1 0 0 0 0 1 1
#> [397,] 1 1 0 0 0 0 1 1 0 0 1 1
#> [398,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [399,] 0 0 0 0 0 0 0 1 1 0 0 1
#> [400,] 0 0 0 0 0 0 0 0 0 0 0 1
#> [401,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [402,] 1 0 1 1 1 1 0 0 1 1 1 1
#> [403,] 1 0 0 0 0 0 0 0 0 0 0 1
#> [404,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [405,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [406,] 0 1 1 0 0 0 1 1 0 0 0 1
#> [407,] 1 1 1 1 1 1 0 1 1 1 0 1
#> [408,] 0 0 0 0 1 1 1 0 0 0 0 0
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#> [410,] 1 0 0 0 0 1 0 0 0 0 0 1
#> [411,] 0 0 1 0 0 0 0 0 0 0 0 0
#> [412,] 1 1 0 0 0 0 1 1 1 1 0 1
#> [413,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [414,] 0 0 0 1 0 1 0 1 1 1 1 1
#> [415,] 1 0 0 0 0 0 0 0 0 0 0 1
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#> [418,] 1 0 0 0 0 1 0 0 0 0 1 1
#> [419,] 1 0 0 0 0 0 0 0 0 0 1 1
#> [420,] 1 0 0 1 1 0 1 0 0 1 0 0
#> [421,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [422,] 1 1 0 0 0 0 0 1 0 0 0 0
#> [423,] 1 0 1 0 0 0 0 0 0 0 0 0
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#> [425,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [426,] 1 0 0 1 0 0 0 0 0 0 1 1
#> [427,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [428,] 1 1 1 0 0 0 1 1 0 0 0 0
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#> [430,] 0 1 0 0 0 1 1 0 0 0 1 1
#> [431,] 1 0 0 0 0 0 0 1 0 0 1 1
#> [432,] 0 0 0 0 0 0 0 0 0 1 0 0
#> [433,] 0 0 1 0 0 0 1 1 0 0 0 1
#> [434,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [435,] 1 0 0 0 1 0 0 0 0 1 0 1
#> [436,] 1 1 0 0 0 0 1 0 0 0 0 0
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#> [438,] 0 0 0 0 0 0 0 0 1 0 0 1
#> [439,] 0 0 0 0 0 1 0 0 1 1 0 1
#> [440,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [441,] 1 1 0 0 0 1 1 1 0 0 0 1
#> [442,] 1 1 0 1 0 1 1 0 0 0 1 0
#> [443,] 1 1 1 1 0 0 1 1 0 0 0 1
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#> [451,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [452,] 0 0 0 1 1 1 1 1 1 1 1 1
#> [453,] 1 1 0 0 0 1 1 1 0 0 0 1
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#> [465,] 1 1 1 1 1 1 0 1 1 1 1 0
#> [466,] 1 1 1 1 0 0 1 1 1 1 0 1
#> [467,] 1 1 1 0 0 0 1 1 0 0 0 1
#> [468,] 1 1 0 1 1 1 1 1 1 1 1 1
#> [469,] 1 1 0 0 0 0 1 1 0 0 0 1
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#> [495,] 1 1 1 1 0 0 1 1 0 1 0 1
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#> [497,] 1 1 1 1 1 1 1 1 1 0 1 1
#> [498,] 1 1 0 0 0 0 1 0 0 0 1 1
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#> [501,] 1 0 0 0 0 0 1 0 0 0 0 1
#> [502,] 1 1 1 1 0 1 1 1 1 1 1 0
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#> [504,] 1 0 0 0 0 1 0 0 0 0 0 1
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#> [508,] 0 0 0 0 0 0 1 0 0 0 0 0
#> [509,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [510,] 0 0 1 1 1 1 1 0 1 0 1 1
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#> [515,] 1 1 1 0 1 1 1 1 1 1 1 0
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#> [519,] 0 1 1 1 1 1 1 1 1 1 1 1
#> [520,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [521,] 1 1 1 0 0 0 1 1 0 0 0 1
#> [522,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [523,] 1 1 1 1 1 0 1 1 1 1 1 1
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#> [927,] 0 1 0 0 0 1 0 0 0 0 0 1
#> [928,] 1 1 0 0 0 0 1 1 0 0 1 1
#> [929,] 1 1 0 0 1 1 1 1 0 1 0 1
#> [930,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [931,] 1 1 0 0 0 0 1 1 1 0 0 0
#> [932,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [933,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [934,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [935,] 1 1 1 0 0 0 0 1 0 0 1 0
#> [936,] 1 1 1 0 0 1 1 1 0 1 1 1
#> [937,] 0 0 1 0 0 0 0 0 0 0 0 0
#> [938,] 1 1 0 0 0 0 1 1 0 0 0 0
#> [939,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [940,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [941,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [942,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [943,] 0 0 0 0 1 0 0 0 0 0 0 1
#> [944,] 1 0 0 0 0 0 0 0 0 1 0 0
#> [945,] 0 1 1 0 0 1 1 1 0 0 0 1
#> [946,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [947,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [948,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [949,] 0 0 1 1 0 1 0 0 0 0 0 1
#> [950,] 1 1 0 0 0 0 0 1 0 0 0 0
#> [951,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [952,] 0 0 0 0 0 0 0 0 0 1 0 1
#> [953,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [954,] 0 0 1 1 1 0 0 1 1 1 0 0
#> [955,] 1 0 1 0 0 0 0 0 0 1 1 0
#> [956,] 0 0 0 0 0 0 0 0 1 0 0 0
#> [957,] 1 1 0 0 1 0 1 1 0 0 0 1
#> [958,] 1 1 0 0 0 1 0 1 0 0 1 1
#> [959,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [960,] 0 0 1 1 1 1 1 0 1 1 1 1
#> [961,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [962,] 1 0 0 1 0 1 0 0 1 1 1 1
#> [963,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [964,] 0 0 0 0 0 0 0 0 1 0 1 0
#> [965,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [966,] 1 1 0 0 0 0 1 1 0 1 1 1
#> [967,] 1 0 0 0 0 1 0 0 0 0 0 0
#> [968,] 1 1 0 0 0 0 1 1 0 0 0 1
#> [969,] 0 0 0 0 0 0 0 0 0 1 0 1
#> [970,] 0 1 0 0 0 1 1 0 0 0 0 1
#> [971,] 1 0 1 0 0 0 0 0 0 1 1 1
#> [972,] 1 1 1 1 1 1 1 1 0 1 1 1
#> [973,] 1 1 0 1 0 1 1 0 0 0 1 1
#> [974,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [975,] 1 0 0 1 1 1 0 0 1 1 1 1
#> [976,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [977,] 1 0 0 0 0 0 1 1 0 0 0 1
#> [978,] 1 1 1 0 0 1 1 1 0 0 1 1
#> [979,] 0 0 1 1 0 1 0 0 1 1 1 1
#> [980,] 1 1 0 0 1 1 1 1 0 0 1 1
#> [981,] 1 0 0 1 1 1 0 1 1 1 1 0
#> [982,] 1 1 1 0 0 0 1 1 1 0 0 1
#> [983,] 0 0 0 1 0 0 0 0 0 0 0 0
#> [984,] 1 1 0 0 0 1 1 0 0 0 0 1
#> [985,] 0 0 0 0 0 1 0 0 0 0 0 1
#> [986,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [987,] 1 1 0 1 1 1 1 1 1 1 0 1
#> [988,] 1 0 0 0 1 1 0 0 0 0 0 1
#> [989,] 0 0 0 0 1 1 0 0 0 0 0 0
#> [990,] 0 1 0 0 0 0 1 1 1 0 0 0
#> [991,] 1 1 0 0 0 1 1 1 0 0 0 1
#> [992,] 0 0 0 0 1 0 0 0 0 0 0 1
#> [993,] 0 0 0 0 0 0 0 0 0 0 1 1
#> [994,] 1 0 0 0 1 1 0 0 0 0 0 1
#> [995,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [996,] 1 1 1 0 0 1 1 1 1 0 1 1
#> [997,] 1 1 0 0 0 1 1 1 0 0 0 1
#> [998,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [999,] 1 0 0 0 0 1 1 1 0 0 0 1
#> [1000,] 1 1 0 0 0 0 1 1 1 0 1 1
#> [,26] [,27] [,28] [,29] [,30]
#> [1,] 0 1 0 1 0
#> [2,] 1 1 1 1 1
#> [3,] 1 1 1 1 1
#> [4,] 1 0 1 0 1
#> [5,] 0 0 0 0 0
#> [6,] 1 1 1 1 1
#> [7,] 1 1 0 1 0
#> [8,] 0 1 0 1 0
#> [9,] 1 1 1 1 1
#> [10,] 1 1 1 1 1
#> [11,] 1 1 1 1 1
#> [12,] 1 1 1 1 1
#> [13,] 1 1 1 1 1
#> [14,] 0 1 1 1 0
#> [15,] 0 0 0 0 0
#> [16,] 0 1 0 1 1
#> [17,] 0 0 0 1 0
#> [18,] 0 0 0 0 0
#> [19,] 1 1 1 0 0
#> [20,] 1 1 1 1 0
#> [21,] 0 1 0 0 0
#> [22,] 0 0 0 0 0
#> [23,] 0 1 0 0 0
#> [24,] 0 1 0 1 0
#> [25,] 0 0 0 0 0
#> [26,] 1 1 1 1 1
#> [27,] 0 0 0 0 0
#> [28,] 0 1 0 1 0
#> [29,] 0 0 0 0 1
#> [30,] 1 1 1 1 0
#> [31,] 1 1 1 1 0
#> [32,] 0 1 0 1 0
#> [33,] 1 0 0 1 1
#> [34,] 1 1 1 1 1
#> [35,] 1 1 1 1 1
#> [36,] 1 1 0 1 1
#> [37,] 1 1 1 1 1
#> [38,] 1 1 1 1 1
#> [39,] 0 0 0 0 0
#> [40,] 0 1 0 1 0
#> [41,] 0 1 1 1 0
#> [42,] 1 0 1 1 0
#> [43,] 1 1 1 1 0
#> [44,] 1 1 1 1 1
#> [45,] 1 1 0 1 1
#> [46,] 1 1 1 1 1
#> [47,] 1 0 1 1 0
#> [48,] 0 1 1 1 0
#> [49,] 1 1 1 0 0
#> [50,] 1 1 1 1 0
#> [51,] 1 1 1 1 1
#> [52,] 1 1 1 1 1
#> [53,] 0 1 0 1 0
#> [54,] 1 0 1 1 1
#> [55,] 1 1 0 1 1
#> [56,] 0 0 0 0 0
#> [57,] 1 1 1 1 1
#> [58,] 0 1 1 1 1
#> [59,] 0 1 0 1 1
#> [60,] 0 0 0 0 0
#> [61,] 1 0 0 0 0
#> [62,] 1 1 0 1 1
#> [63,] 1 1 1 1 0
#> [64,] 1 0 1 1 1
#> [65,] 1 1 1 1 1
#> [66,] 0 0 0 0 0
#> [67,] 1 1 0 1 1
#> [68,] 1 0 0 1 0
#> [69,] 0 0 0 0 0
#> [70,] 1 1 1 1 0
#> [71,] 0 1 0 1 0
#> [72,] 1 0 1 1 0
#> [73,] 0 1 0 1 1
#> [74,] 1 1 1 1 1
#> [75,] 1 0 1 0 0
#> [76,] 1 0 1 1 0
#> [77,] 1 1 1 1 1
#> [78,] 0 1 0 1 0
#> [79,] 1 0 1 0 0
#> [80,] 0 1 0 1 0
#> [81,] 1 1 1 1 1
#> [82,] 0 0 0 1 1
#> [83,] 0 0 0 0 0
#> [84,] 0 1 0 0 0
#> [85,] 0 0 0 0 0
#> [86,] 0 0 0 1 0
#> [87,] 0 1 0 0 0
#> [88,] 0 1 0 1 0
#> [89,] 0 0 0 0 0
#> [90,] 1 1 1 1 1
#> [91,] 0 1 0 1 0
#> [92,] 0 0 0 0 0
#> [93,] 1 1 1 1 1
#> [94,] 0 1 0 0 0
#> [95,] 1 1 1 1 1
#> [96,] 0 1 0 0 0
#> [97,] 0 0 1 0 0
#> [98,] 1 1 0 1 1
#> [99,] 1 0 1 1 0
#> [100,] 1 0 1 1 0
#> [101,] 1 0 1 1 1
#> [102,] 0 1 0 1 0
#> [103,] 1 1 0 1 1
#> [104,] 1 0 1 1 1
#> [105,] 0 1 0 1 1
#> [106,] 0 0 0 0 0
#> [107,] 1 0 1 1 0
#> [108,] 1 1 1 1 1
#> [109,] 1 1 1 1 0
#> [110,] 1 1 1 1 1
#> [111,] 1 1 1 1 1
#> [112,] 1 1 1 1 1
#> [113,] 0 1 1 1 1
#> [114,] 0 0 1 0 0
#> [115,] 0 1 0 0 0
#> [116,] 1 0 1 1 0
#> [117,] 1 1 1 1 1
#> [118,] 1 1 1 1 1
#> [119,] 1 1 0 1 1
#> [120,] 1 1 0 1 1
#> [121,] 1 1 1 1 1
#> [122,] 0 0 0 1 1
#> [123,] 1 1 1 1 1
#> [124,] 0 0 0 0 0
#> [125,] 0 1 0 1 0
#> [126,] 0 0 0 1 1
#> [127,] 0 0 0 0 0
#> [128,] 1 1 0 1 0
#> [129,] 0 0 0 0 0
#> [130,] 0 1 0 0 1
#> [131,] 0 1 0 1 0
#> [132,] 1 0 0 1 0
#> [133,] 1 1 1 1 1
#> [134,] 1 1 1 0 1
#> [135,] 1 1 1 1 1
#> [136,] 1 1 0 1 0
#> [137,] 1 1 0 1 1
#> [138,] 1 0 1 0 0
#> [139,] 1 1 1 1 1
#> [140,] 0 1 0 1 1
#> [141,] 0 1 0 1 0
#> [142,] 0 0 0 0 0
#> [143,] 1 1 1 1 1
#> [144,] 1 0 0 0 0
#> [145,] 1 1 1 1 1
#> [146,] 1 1 1 1 0
#> [147,] 0 0 0 0 0
#> [148,] 1 1 0 1 1
#> [149,] 1 1 1 1 1
#> [150,] 1 1 0 1 1
#> [151,] 1 1 0 1 0
#> [152,] 0 1 0 1 0
#> [153,] 0 0 0 0 0
#> [154,] 1 1 1 1 0
#> [155,] 0 1 0 1 0
#> [156,] 0 1 0 1 1
#> [157,] 0 1 0 1 0
#> [158,] 1 0 1 1 1
#> [159,] 1 1 1 1 1
#> [160,] 1 1 1 1 1
#> [161,] 0 1 0 1 0
#> [162,] 1 0 1 1 0
#> [163,] 0 0 0 0 0
#> [164,] 0 0 1 1 0
#> [165,] 0 0 0 0 0
#> [166,] 0 1 0 1 0
#> [167,] 1 0 1 1 0
#> [168,] 1 1 0 0 0
#> [169,] 1 1 1 1 0
#> [170,] 0 1 0 1 0
#> [171,] 1 1 1 1 0
#> [172,] 1 1 0 1 0
#> [173,] 1 1 1 1 1
#> [174,] 1 1 0 1 1
#> [175,] 0 0 0 0 0
#> [176,] 0 0 0 0 1
#> [177,] 1 1 1 1 1
#> [178,] 0 0 0 1 0
#> [179,] 1 1 0 1 1
#> [180,] 1 1 0 1 1
#> [181,] 0 1 0 0 0
#> [182,] 0 0 0 0 0
#> [183,] 1 1 1 1 1
#> [184,] 0 1 0 1 0
#> [185,] 0 0 0 0 0
#> [186,] 1 1 0 1 1
#> [187,] 1 1 1 1 1
#> [188,] 1 1 1 1 1
#> [189,] 0 0 0 0 0
#> [190,] 0 1 1 0 0
#> [191,] 1 1 1 1 1
#> [192,] 0 0 0 1 0
#> [193,] 1 1 1 1 0
#> [194,] 0 1 0 1 0
#> [195,] 1 0 1 1 0
#> [196,] 0 1 0 1 0
#> [197,] 1 0 0 1 1
#> [198,] 0 1 0 1 0
#> [199,] 0 1 0 0 0
#> [200,] 0 1 0 1 1
#> [201,] 0 1 0 0 0
#> [202,] 1 1 1 1 1
#> [203,] 1 1 1 1 1
#> [204,] 0 0 0 1 0
#> [205,] 0 0 0 1 0
#> [206,] 1 1 1 1 0
#> [207,] 0 0 0 0 0
#> [208,] 0 1 0 1 0
#> [209,] 0 0 1 1 0
#> [210,] 1 0 1 1 1
#> [211,] 1 1 1 1 1
#> [212,] 1 1 1 1 1
#> [213,] 0 1 0 1 0
#> [214,] 0 0 0 0 0
#> [215,] 0 1 0 0 0
#> [216,] 0 1 0 1 0
#> [217,] 1 1 1 1 1
#> [218,] 0 1 0 1 0
#> [219,] 1 0 1 0 0
#> [220,] 1 0 0 0 0
#> [221,] 0 1 1 1 1
#> [222,] 0 1 0 0 0
#> [223,] 0 0 0 0 0
#> [224,] 1 1 1 1 1
#> [225,] 0 1 0 0 0
#> [226,] 1 1 0 1 1
#> [227,] 1 1 1 1 1
#> [228,] 1 1 0 1 1
#> [229,] 1 1 0 1 1
#> [230,] 0 1 0 0 0
#> [231,] 0 1 0 1 0
#> [232,] 0 1 0 0 0
#> [233,] 0 1 0 1 0
#> [234,] 1 1 1 1 1
#> [235,] 1 0 1 1 0
#> [236,] 0 0 0 0 0
#> [237,] 0 1 1 1 0
#> [238,] 1 1 1 1 1
#> [239,] 0 0 0 1 0
#> [240,] 0 1 0 1 0
#> [241,] 1 1 1 1 1
#> [242,] 1 1 1 1 1
#> [243,] 0 0 0 0 0
#> [244,] 1 1 1 1 1
#> [245,] 0 1 0 0 0
#> [246,] 1 0 1 1 1
#> [247,] 1 1 1 1 1
#> [248,] 0 1 0 1 0
#> [249,] 0 0 0 0 0
#> [250,] 0 0 0 1 1
#> [251,] 0 1 0 0 0
#> [252,] 1 0 1 1 1
#> [253,] 0 1 0 0 0
#> [254,] 1 1 1 1 1
#> [255,] 1 0 1 0 1
#> [256,] 1 1 1 1 1
#> [257,] 1 1 0 1 1
#> [258,] 1 0 1 0 0
#> [259,] 1 0 0 1 1
#> [260,] 1 1 1 1 1
#> [261,] 0 0 0 1 0
#> [262,] 1 0 0 1 1
#> [263,] 0 1 0 1 0
#> [264,] 0 1 0 1 1
#> [265,] 0 1 0 1 0
#> [266,] 1 1 1 1 1
#> [267,] 0 1 0 1 1
#> [268,] 0 1 0 1 0
#> [269,] 1 0 0 1 1
#> [270,] 1 1 0 1 1
#> [271,] 1 1 0 1 1
#> [272,] 0 1 0 1 1
#> [273,] 1 1 1 1 1
#> [274,] 1 1 1 1 1
#> [275,] 0 1 0 1 1
#> [276,] 0 1 0 0 0
#> [277,] 0 1 0 0 0
#> [278,] 0 0 0 1 0
#> [279,] 1 1 0 1 1
#> [280,] 1 0 0 1 0
#> [281,] 0 1 0 1 1
#> [282,] 0 1 0 0 0
#> [283,] 1 1 1 1 1
#> [284,] 1 1 1 1 1
#> [285,] 1 0 1 1 1
#> [286,] 0 1 0 1 1
#> [287,] 0 0 0 0 0
#> [288,] 1 1 1 1 0
#> [289,] 0 1 1 1 0
#> [290,] 0 1 0 0 0
#> [291,] 1 1 0 1 0
#> [292,] 0 1 0 1 0
#> [293,] 0 1 0 1 0
#> [294,] 0 0 0 0 0
#> [295,] 0 1 1 1 1
#> [296,] 0 1 0 0 1
#> [297,] 1 1 0 1 0
#> [298,] 1 1 1 0 1
#> [299,] 0 1 0 1 0
#> [300,] 1 1 1 1 1
#> [301,] 0 0 0 1 0
#> [302,] 0 0 0 0 0
#> [303,] 0 0 0 0 0
#> [304,] 1 0 1 1 1
#> [305,] 1 1 1 1 1
#> [306,] 1 1 1 1 1
#> [307,] 1 1 1 1 1
#> [308,] 0 0 0 0 0
#> [309,] 1 1 1 1 1
#> [310,] 1 1 1 1 1
#> [311,] 0 1 0 1 0
#> [312,] 1 1 1 1 1
#> [313,] 0 0 0 0 0
#> [314,] 1 1 0 0 0
#> [315,] 1 1 1 1 1
#> [316,] 1 1 0 1 1
#> [317,] 0 0 0 1 0
#> [318,] 1 1 1 1 1
#> [319,] 0 0 0 0 0
#> [320,] 0 0 0 0 0
#> [321,] 0 0 0 0 0
#> [322,] 1 1 0 1 1
#> [323,] 1 0 1 0 0
#> [324,] 0 1 0 1 0
#> [325,] 1 0 1 0 0
#> [326,] 0 0 1 1 0
#> [327,] 0 1 0 0 1
#> [328,] 1 1 1 1 0
#> [329,] 1 1 1 1 1
#> [330,] 1 1 1 1 1
#> [331,] 1 0 1 1 0
#> [332,] 1 1 1 0 0
#> [333,] 1 1 1 1 0
#> [334,] 1 1 1 1 1
#> [335,] 0 1 0 1 1
#> [336,] 1 1 1 1 1
#> [337,] 0 1 1 1 1
#> [338,] 1 0 0 1 1
#> [339,] 1 1 1 1 1
#> [340,] 1 1 1 1 1
#> [341,] 1 1 1 1 1
#> [342,] 1 1 1 1 1
#> [343,] 0 1 1 1 0
#> [344,] 0 1 0 0 0
#> [345,] 0 0 0 0 0
#> [346,] 1 1 0 1 1
#> [347,] 1 1 1 1 1
#> [348,] 0 1 0 1 0
#> [349,] 1 1 0 1 1
#> [350,] 1 1 0 1 1
#> [351,] 1 0 1 1 1
#> [352,] 0 0 0 0 1
#> [353,] 1 1 1 1 0
#> [354,] 0 1 0 0 0
#> [355,] 1 1 1 1 1
#> [356,] 0 0 1 0 0
#> [357,] 0 0 0 0 0
#> [358,] 0 0 0 0 0
#> [359,] 1 0 1 1 1
#> [360,] 1 1 1 1 1
#> [361,] 1 1 1 1 1
#> [362,] 1 1 1 1 1
#> [363,] 0 0 0 0 0
#> [364,] 0 0 0 1 1
#> [365,] 0 0 0 0 0
#> [366,] 0 1 1 1 0
#> [367,] 0 0 0 1 0
#> [368,] 1 0 0 1 0
#> [369,] 0 1 0 1 0
#> [370,] 1 1 1 1 1
#> [371,] 1 1 0 1 1
#> [372,] 0 0 0 0 0
#> [373,] 1 1 0 1 0
#> [374,] 0 1 0 1 0
#> [375,] 1 1 1 1 1
#> [376,] 0 1 1 1 0
#> [377,] 0 0 0 0 0
#> [378,] 1 1 1 1 1
#> [379,] 0 0 0 0 0
#> [380,] 1 0 1 1 1
#> [381,] 1 1 1 1 1
#> [382,] 1 1 1 1 1
#> [383,] 1 1 1 1 1
#> [384,] 1 1 1 1 1
#> [385,] 0 1 1 1 1
#> [386,] 1 1 1 1 1
#> [387,] 0 1 0 1 0
#> [388,] 1 1 0 1 1
#> [389,] 1 1 1 1 1
#> [390,] 0 1 0 1 0
#> [391,] 1 1 1 1 0
#> [392,] 0 1 0 1 0
#> [393,] 1 1 1 1 1
#> [394,] 0 1 0 0 0
#> [395,] 1 1 1 1 0
#> [396,] 0 0 0 0 0
#> [397,] 1 1 1 1 0
#> [398,] 0 0 0 0 0
#> [399,] 0 1 0 0 0
#> [400,] 0 1 0 0 0
#> [401,] 1 0 1 1 1
#> [402,] 0 1 0 1 1
#> [403,] 0 1 0 1 1
#> [404,] 0 0 0 0 0
#> [405,] 1 1 0 1 1
#> [406,] 1 1 0 1 1
#> [407,] 1 0 1 1 0
#> [408,] 0 1 0 1 0
#> [409,] 0 1 1 0 0
#> [410,] 1 0 0 1 0
#> [411,] 0 1 1 0 0
#> [412,] 1 1 1 1 1
#> [413,] 0 0 0 0 0
#> [414,] 0 0 0 0 1
#> [415,] 0 1 0 1 0
#> [416,] 1 0 0 0 0
#> [417,] 0 1 0 1 0
#> [418,] 0 1 0 1 0
#> [419,] 0 1 0 1 0
#> [420,] 0 1 0 0 0
#> [421,] 1 1 1 1 1
#> [422,] 1 0 1 1 0
#> [423,] 0 1 0 1 0
#> [424,] 0 1 0 1 0
#> [425,] 0 1 0 1 0
#> [426,] 0 0 0 1 0
#> [427,] 0 1 0 1 0
#> [428,] 1 0 1 0 0
#> [429,] 0 1 0 1 0
#> [430,] 1 1 1 1 1
#> [431,] 0 1 0 0 0
#> [432,] 0 0 0 0 0
#> [433,] 1 1 1 1 1
#> [434,] 1 1 1 1 1
#> [435,] 0 1 0 1 0
#> [436,] 1 1 1 1 1
#> [437,] 0 1 0 1 0
#> [438,] 0 1 0 1 0
#> [439,] 0 1 0 1 0
#> [440,] 0 1 0 0 0
#> [441,] 1 1 1 1 1
#> [442,] 1 1 0 1 1
#> [443,] 1 0 1 1 1
#> [444,] 0 0 0 0 0
#> [445,] 1 0 1 1 1
#> [446,] 1 1 1 1 1
#> [447,] 0 1 0 1 0
#> [448,] 0 1 0 1 0
#> [449,] 0 0 0 0 0
#> [450,] 0 1 1 1 0
#> [451,] 1 0 0 1 1
#> [452,] 0 1 1 0 1
#> [453,] 1 1 1 1 0
#> [454,] 0 1 0 1 0
#> [455,] 0 1 0 1 0
#> [456,] 0 0 0 0 0
#> [457,] 0 1 0 1 0
#> [458,] 1 1 1 1 1
#> [459,] 0 1 0 1 0
#> [460,] 0 1 0 0 0
#> [461,] 0 0 0 0 0
#> [462,] 1 1 1 1 1
#> [463,] 1 1 1 1 1
#> [464,] 0 1 0 1 0
#> [465,] 1 0 1 1 1
#> [466,] 1 0 1 1 0
#> [467,] 1 0 1 1 1
#> [468,] 1 1 1 1 1
#> [469,] 1 0 1 1 0
#> [470,] 1 1 1 1 1
#> [471,] 0 0 0 0 0
#> [472,] 0 1 0 1 1
#> [473,] 1 1 1 1 0
#> [474,] 0 1 0 0 0
#> [475,] 1 0 1 0 0
#> [476,] 1 0 1 1 1
#> [477,] 0 0 0 0 0
#> [478,] 0 1 0 1 1
#> [479,] 1 1 1 1 1
#> [480,] 1 1 1 1 0
#> [481,] 0 1 0 1 0
#> [482,] 0 0 0 0 0
#> [483,] 0 1 0 1 0
#> [484,] 0 0 0 0 0
#> [485,] 0 1 0 1 0
#> [486,] 0 1 0 1 1
#> [487,] 0 0 0 0 0
#> [488,] 1 1 1 1 0
#> [489,] 0 0 0 0 0
#> [490,] 0 0 0 0 0
#> [491,] 1 1 1 1 1
#> [492,] 0 1 0 1 1
#> [493,] 0 0 0 0 0
#> [494,] 1 1 0 1 1
#> [495,] 1 1 1 1 1
#> [496,] 0 1 0 1 1
#> [497,] 1 1 1 1 1
#> [498,] 1 1 1 1 1
#> [499,] 1 0 1 1 1
#> [500,] 1 1 0 1 0
#> [501,] 0 1 0 1 0
#> [502,] 1 0 0 1 1
#> [503,] 0 1 0 1 0
#> [504,] 0 1 0 0 0
#> [505,] 1 1 1 1 1
#> [506,] 1 0 1 0 0
#> [507,] 1 0 1 1 0
#> [508,] 0 0 0 0 0
#> [509,] 1 1 1 1 1
#> [510,] 0 1 0 1 0
#> [511,] 0 1 0 1 0
#> [512,] 1 0 0 0 0
#> [513,] 0 1 0 1 0
#> [514,] 1 1 1 1 0
#> [515,] 1 1 1 1 1
#> [516,] 1 1 1 1 1
#> [517,] 1 1 1 1 1
#> [518,] 0 0 0 0 0
#> [519,] 1 0 1 1 1
#> [520,] 1 0 1 1 1
#> [521,] 1 1 1 1 1
#> [522,] 1 1 0 1 1
#> [523,] 1 0 1 0 1
#> [524,] 0 0 0 1 0
#> [525,] 1 1 1 1 1
#> [526,] 0 0 0 0 0
#> [527,] 0 1 0 0 0
#> [528,] 1 1 1 1 1
#> [529,] 0 1 1 1 0
#> [530,] 1 1 0 1 1
#> [531,] 1 1 1 1 1
#> [532,] 0 0 0 0 0
#> [533,] 0 1 0 1 1
#> [534,] 0 1 0 1 0
#> [535,] 1 0 1 1 0
#> [536,] 1 0 1 1 0
#> [537,] 0 1 0 1 0
#> [538,] 1 1 1 1 1
#> [539,] 1 1 1 1 1
#> [540,] 1 1 0 1 1
#> [541,] 1 1 0 1 0
#> [542,] 0 1 0 1 0
#> [543,] 0 0 0 1 1
#> [544,] 1 1 0 1 1
#> [545,] 1 0 1 1 0
#> [546,] 1 1 1 1 0
#> [547,] 0 0 0 0 0
#> [548,] 1 1 1 1 0
#> [549,] 1 1 1 1 1
#> [550,] 0 0 0 0 0
#> [551,] 1 1 1 1 1
#> [552,] 1 1 1 1 1
#> [553,] 1 1 1 1 1
#> [554,] 0 1 0 1 0
#> [555,] 1 1 1 1 1
#> [556,] 1 1 0 0 0
#> [557,] 0 0 0 0 0
#> [558,] 0 1 0 1 1
#> [559,] 0 0 0 0 0
#> [560,] 0 1 1 1 0
#> [561,] 0 0 0 0 0
#> [562,] 0 1 0 0 0
#> [563,] 0 0 0 0 1
#> [564,] 0 0 0 0 0
#> [565,] 1 1 1 1 1
#> [566,] 0 1 0 1 0
#> [567,] 0 1 0 0 0
#> [568,] 1 1 1 1 1
#> [569,] 1 0 1 1 1
#> [570,] 0 0 0 0 0
#> [571,] 0 1 0 1 1
#> [572,] 1 1 0 1 0
#> [573,] 0 1 0 1 1
#> [574,] 0 1 0 1 0
#> [575,] 0 0 0 0 1
#> [576,] 0 0 0 1 0
#> [577,] 1 1 1 1 1
#> [578,] 1 1 1 1 1
#> [579,] 0 1 0 1 0
#> [580,] 1 1 1 1 1
#> [581,] 0 1 0 1 1
#> [582,] 1 0 0 0 0
#> [583,] 1 1 0 1 1
#> [584,] 1 0 1 1 1
#> [585,] 1 1 1 1 1
#> [586,] 1 1 1 1 0
#> [587,] 1 1 0 1 1
#> [588,] 0 1 0 1 0
#> [589,] 1 0 1 1 1
#> [590,] 1 1 1 1 0
#> [591,] 0 0 0 0 0
#> [592,] 0 1 1 0 0
#> [593,] 1 1 1 0 1
#> [594,] 0 1 1 1 0
#> [595,] 1 1 1 1 1
#> [596,] 1 1 0 1 0
#> [597,] 0 1 0 0 0
#> [598,] 0 0 0 0 0
#> [599,] 1 0 1 1 1
#> [600,] 1 0 1 0 1
#> [601,] 0 0 0 1 0
#> [602,] 0 0 0 1 0
#> [603,] 1 1 0 1 0
#> [604,] 0 0 0 0 0
#> [605,] 1 1 0 0 1
#> [606,] 0 1 0 1 0
#> [607,] 1 1 0 1 1
#> [608,] 1 0 1 1 0
#> [609,] 0 0 0 0 0
#> [610,] 1 1 1 1 1
#> [611,] 0 1 0 0 0
#> [612,] 0 1 0 1 1
#> [613,] 1 1 1 1 1
#> [614,] 1 0 1 0 0
#> [615,] 1 1 1 1 1
#> [616,] 1 1 1 1 1
#> [617,] 0 0 1 0 0
#> [618,] 1 1 1 1 1
#> [619,] 0 0 0 0 0
#> [620,] 1 0 0 0 0
#> [621,] 0 1 0 1 0
#> [622,] 1 1 1 1 1
#> [623,] 0 1 0 1 0
#> [624,] 0 0 0 0 0
#> [625,] 1 1 1 1 1
#> [626,] 0 1 0 1 0
#> [627,] 0 1 0 1 1
#> [628,] 1 1 1 1 0
#> [629,] 0 0 0 0 0
#> [630,] 1 1 1 1 1
#> [631,] 1 1 1 1 1
#> [632,] 1 1 0 1 1
#> [633,] 0 1 0 1 1
#> [634,] 0 0 0 0 0
#> [635,] 0 0 1 0 1
#> [636,] 1 1 1 1 1
#> [637,] 1 1 0 1 1
#> [638,] 0 0 1 0 0
#> [639,] 0 0 0 1 1
#> [640,] 0 1 0 0 0
#> [641,] 1 0 1 1 1
#> [642,] 0 0 0 0 0
#> [643,] 0 1 0 1 0
#> [644,] 1 0 0 0 0
#> [645,] 1 0 0 1 1
#> [646,] 1 1 1 1 1
#> [647,] 1 1 1 1 1
#> [648,] 1 1 1 1 1
#> [649,] 1 1 1 1 1
#> [650,] 1 0 0 1 0
#> [651,] 0 1 0 1 0
#> [652,] 1 1 1 1 1
#> [653,] 1 1 0 1 0
#> [654,] 1 1 0 1 1
#> [655,] 1 1 0 1 0
#> [656,] 0 0 0 0 0
#> [657,] 1 0 1 1 1
#> [658,] 1 0 1 1 1
#> [659,] 0 1 0 1 0
#> [660,] 1 1 1 1 1
#> [661,] 0 0 1 0 0
#> [662,] 1 1 1 1 1
#> [663,] 1 1 1 1 0
#> [664,] 0 1 0 1 0
#> [665,] 1 1 1 1 1
#> [666,] 1 1 1 1 1
#> [667,] 1 0 1 0 0
#> [668,] 1 0 0 0 0
#> [669,] 1 1 1 1 1
#> [670,] 0 0 0 0 0
#> [671,] 1 1 1 1 1
#> [672,] 1 1 1 1 0
#> [673,] 0 0 0 1 0
#> [674,] 1 1 1 1 1
#> [675,] 0 0 0 1 0
#> [676,] 1 1 1 1 1
#> [677,] 0 1 0 0 0
#> [678,] 1 1 1 1 1
#> [679,] 0 0 0 0 0
#> [680,] 1 1 1 1 1
#> [681,] 1 1 1 1 1
#> [682,] 1 1 1 1 1
#> [683,] 1 1 0 1 1
#> [684,] 0 0 0 1 0
#> [685,] 1 1 1 1 1
#> [686,] 0 1 0 1 0
#> [687,] 1 1 0 1 1
#> [688,] 1 1 0 1 1
#> [689,] 0 0 1 1 0
#> [690,] 0 1 0 1 0
#> [691,] 1 1 1 1 1
#> [692,] 0 0 0 0 0
#> [693,] 0 1 0 1 0
#> [694,] 1 1 1 1 1
#> [695,] 0 0 0 0 0
#> [696,] 0 1 0 1 0
#> [697,] 0 1 0 0 0
#> [698,] 1 1 1 1 1
#> [699,] 1 1 1 1 1
#> [700,] 0 0 0 0 0
#> [701,] 1 1 1 1 1
#> [702,] 1 1 1 1 1
#> [703,] 1 1 1 1 1
#> [704,] 0 0 0 0 0
#> [705,] 1 1 1 1 1
#> [706,] 0 0 1 0 0
#> [707,] 0 0 0 0 0
#> [708,] 0 1 0 0 0
#> [709,] 1 1 1 1 1
#> [710,] 1 0 1 0 1
#> [711,] 1 0 0 1 0
#> [712,] 1 1 1 1 0
#> [713,] 0 1 0 1 0
#> [714,] 0 1 1 1 0
#> [715,] 0 1 0 1 0
#> [716,] 1 0 0 1 0
#> [717,] 1 0 0 1 1
#> [718,] 1 1 1 1 1
#> [719,] 0 0 0 1 0
#> [720,] 0 1 0 0 0
#> [721,] 0 0 0 0 0
#> [722,] 1 1 0 1 0
#> [723,] 1 1 1 1 1
#> [724,] 1 1 0 1 1
#> [725,] 0 0 0 0 0
#> [726,] 0 0 0 0 0
#> [727,] 0 0 0 1 0
#> [728,] 0 1 0 1 1
#> [729,] 0 0 0 0 0
#> [730,] 0 0 0 1 1
#> [731,] 1 1 1 1 1
#> [732,] 0 1 0 1 0
#> [733,] 0 1 0 1 0
#> [734,] 1 0 0 0 0
#> [735,] 0 0 0 0 0
#> [736,] 0 1 0 1 0
#> [737,] 0 0 0 0 0
#> [738,] 1 1 1 1 1
#> [739,] 1 1 1 1 1
#> [740,] 1 1 0 1 1
#> [741,] 0 1 0 0 0
#> [742,] 0 1 0 0 0
#> [743,] 1 1 1 1 1
#> [744,] 0 0 0 0 0
#> [745,] 1 0 1 1 1
#> [746,] 0 0 0 0 0
#> [747,] 0 0 0 1 0
#> [748,] 1 0 1 1 1
#> [749,] 1 1 1 1 1
#> [750,] 1 1 1 1 1
#> [751,] 1 1 1 1 0
#> [752,] 1 0 1 0 0
#> [753,] 0 1 0 0 1
#> [754,] 0 0 0 1 0
#> [755,] 1 1 1 1 0
#> [756,] 1 1 1 1 0
#> [757,] 0 0 0 1 1
#> [758,] 0 1 0 1 0
#> [759,] 0 1 0 1 0
#> [760,] 1 0 1 1 1
#> [761,] 1 1 1 1 1
#> [762,] 1 0 0 1 1
#> [763,] 1 1 1 1 1
#> [764,] 1 1 0 1 0
#> [765,] 1 1 1 0 1
#> [766,] 1 1 1 1 0
#> [767,] 1 1 0 1 0
#> [768,] 0 1 0 0 0
#> [769,] 0 1 0 1 0
#> [770,] 0 0 0 1 0
#> [771,] 1 1 1 1 1
#> [772,] 1 1 1 1 1
#> [773,] 1 1 1 1 1
#> [774,] 0 0 0 0 0
#> [775,] 0 1 0 1 0
#> [776,] 1 1 1 1 1
#> [777,] 0 0 0 0 0
#> [778,] 0 1 0 1 1
#> [779,] 1 1 1 1 1
#> [780,] 1 1 1 0 1
#> [781,] 1 1 1 1 1
#> [782,] 1 1 1 1 1
#> [783,] 0 1 0 1 0
#> [784,] 1 1 1 1 1
#> [785,] 0 0 0 0 0
#> [786,] 0 1 0 0 0
#> [787,] 1 1 1 1 1
#> [788,] 1 1 1 1 1
#> [789,] 0 0 0 0 0
#> [790,] 1 1 0 1 1
#> [791,] 1 1 1 1 1
#> [792,] 1 1 0 1 1
#> [793,] 0 1 0 0 0
#> [794,] 1 0 1 1 0
#> [795,] 0 1 0 0 0
#> [796,] 1 1 0 1 1
#> [797,] 0 1 0 1 0
#> [798,] 0 1 1 1 0
#> [799,] 0 0 0 0 0
#> [800,] 1 1 1 1 0
#> [801,] 1 0 1 1 1
#> [802,] 0 1 0 1 0
#> [803,] 1 0 1 1 0
#> [804,] 1 1 1 1 1
#> [805,] 0 0 0 0 0
#> [806,] 1 1 1 1 1
#> [807,] 1 1 1 1 1
#> [808,] 0 1 0 1 1
#> [809,] 1 1 1 1 1
#> [810,] 1 1 1 1 0
#> [811,] 0 0 0 0 1
#> [812,] 1 1 1 1 1
#> [813,] 1 1 1 1 1
#> [814,] 1 0 1 1 1
#> [815,] 0 0 0 0 0
#> [816,] 1 0 0 0 0
#> [817,] 0 1 0 1 1
#> [818,] 1 1 0 1 0
#> [819,] 1 1 1 1 1
#> [820,] 1 1 0 1 1
#> [821,] 0 0 0 0 0
#> [822,] 1 1 1 1 0
#> [823,] 1 1 1 1 1
#> [824,] 1 0 1 0 0
#> [825,] 1 1 1 1 1
#> [826,] 0 1 0 1 1
#> [827,] 0 1 0 1 0
#> [828,] 0 0 1 1 0
#> [829,] 1 0 1 1 1
#> [830,] 1 1 1 1 1
#> [831,] 1 1 1 1 0
#> [832,] 0 1 0 1 0
#> [833,] 0 0 0 0 0
#> [834,] 1 0 1 1 0
#> [835,] 1 0 1 1 0
#> [836,] 0 1 0 0 0
#> [837,] 0 1 0 1 0
#> [838,] 0 0 0 0 1
#> [839,] 0 1 0 0 1
#> [840,] 0 1 0 1 0
#> [841,] 1 0 1 0 0
#> [842,] 1 1 1 1 1
#> [843,] 0 1 0 1 1
#> [844,] 1 1 1 1 1
#> [845,] 0 0 0 1 1
#> [846,] 0 1 0 0 0
#> [847,] 0 1 0 1 0
#> [848,] 1 1 1 1 1
#> [849,] 0 1 0 1 0
#> [850,] 1 1 0 1 1
#> [851,] 1 0 1 1 0
#> [852,] 0 0 0 0 0
#> [853,] 0 0 1 0 0
#> [854,] 0 1 1 0 0
#> [855,] 1 1 1 1 1
#> [856,] 1 1 1 1 1
#> [857,] 1 1 1 1 1
#> [858,] 1 1 1 1 1
#> [859,] 1 1 1 1 1
#> [860,] 0 1 0 1 0
#> [861,] 0 0 0 1 0
#> [862,] 1 1 1 1 1
#> [863,] 1 1 1 1 1
#> [864,] 0 0 0 0 0
#> [865,] 0 1 0 1 0
#> [866,] 0 1 0 1 0
#> [867,] 0 1 0 1 0
#> [868,] 0 1 0 1 0
#> [869,] 1 1 1 1 1
#> [870,] 0 0 0 0 0
#> [871,] 0 1 0 1 1
#> [872,] 0 1 0 1 1
#> [873,] 1 1 1 1 1
#> [874,] 0 1 0 1 1
#> [875,] 0 1 1 1 1
#> [876,] 1 1 1 1 1
#> [877,] 1 1 1 1 1
#> [878,] 1 1 0 1 0
#> [879,] 1 1 1 1 1
#> [880,] 1 0 1 1 1
#> [881,] 1 1 1 1 1
#> [882,] 0 0 0 0 0
#> [883,] 1 1 1 0 0
#> [884,] 0 0 0 0 0
#> [885,] 0 0 1 0 0
#> [886,] 0 1 0 1 0
#> [887,] 0 1 0 1 0
#> [888,] 1 1 1 1 1
#> [889,] 1 1 1 1 1
#> [890,] 0 1 0 1 0
#> [891,] 1 1 1 1 1
#> [892,] 1 0 1 1 0
#> [893,] 1 0 0 0 0
#> [894,] 0 1 1 1 0
#> [895,] 1 1 0 1 1
#> [896,] 1 1 1 1 0
#> [897,] 1 1 1 1 1
#> [898,] 0 1 0 1 1
#> [899,] 1 1 1 1 1
#> [900,] 1 1 0 1 1
#> [901,] 0 0 0 0 0
#> [902,] 0 1 0 1 1
#> [903,] 0 0 0 1 0
#> [904,] 1 1 1 1 1
#> [905,] 1 0 1 1 0
#> [906,] 0 0 0 0 1
#> [907,] 0 0 0 1 0
#> [908,] 1 1 1 1 0
#> [909,] 1 1 1 1 1
#> [910,] 0 0 0 1 0
#> [911,] 0 0 0 0 0
#> [912,] 1 1 1 1 1
#> [913,] 1 1 1 1 0
#> [914,] 0 1 0 1 1
#> [915,] 1 0 1 0 0
#> [916,] 1 0 0 1 1
#> [917,] 0 1 0 1 0
#> [918,] 0 1 0 1 1
#> [919,] 1 1 1 1 1
#> [920,] 1 1 1 1 1
#> [921,] 0 0 0 0 0
#> [922,] 0 1 1 1 0
#> [923,] 1 1 1 1 1
#> [924,] 1 1 1 1 1
#> [925,] 0 1 1 1 0
#> [926,] 0 0 0 0 0
#> [927,] 0 1 0 1 0
#> [928,] 1 1 0 1 1
#> [929,] 1 1 1 1 1
#> [930,] 1 1 0 1 1
#> [931,] 0 1 1 1 0
#> [932,] 0 1 0 1 0
#> [933,] 0 0 0 0 0
#> [934,] 0 1 0 1 0
#> [935,] 0 1 0 1 0
#> [936,] 1 1 1 1 1
#> [937,] 0 1 0 1 0
#> [938,] 1 1 1 1 0
#> [939,] 0 1 0 1 0
#> [940,] 0 0 0 0 0
#> [941,] 1 1 1 0 1
#> [942,] 1 0 0 0 0
#> [943,] 0 1 0 1 1
#> [944,] 0 0 0 1 0
#> [945,] 1 1 1 1 0
#> [946,] 0 0 0 1 0
#> [947,] 0 0 0 0 0
#> [948,] 0 0 0 1 0
#> [949,] 0 0 0 1 0
#> [950,] 1 0 0 1 1
#> [951,] 0 0 0 0 0
#> [952,] 0 1 0 1 0
#> [953,] 0 0 0 1 0
#> [954,] 0 0 0 0 1
#> [955,] 0 1 1 1 0
#> [956,] 1 0 0 0 0
#> [957,] 1 1 0 1 1
#> [958,] 1 0 1 1 0
#> [959,] 0 1 0 1 0
#> [960,] 0 1 0 1 1
#> [961,] 1 0 1 1 1
#> [962,] 0 1 0 1 0
#> [963,] 1 1 1 1 1
#> [964,] 0 0 0 1 0
#> [965,] 1 1 1 1 1
#> [966,] 1 1 1 1 0
#> [967,] 0 1 0 1 0
#> [968,] 1 1 1 1 1
#> [969,] 0 0 0 1 0
#> [970,] 1 1 0 1 0
#> [971,] 0 1 0 0 0
#> [972,] 1 1 1 1 1
#> [973,] 1 1 1 1 1
#> [974,] 1 1 1 1 1
#> [975,] 0 1 0 1 1
#> [976,] 0 0 0 1 0
#> [977,] 1 1 0 1 1
#> [978,] 1 1 1 1 0
#> [979,] 0 1 0 1 0
#> [980,] 1 1 0 1 0
#> [981,] 0 1 0 1 0
#> [982,] 1 1 1 1 1
#> [983,] 1 0 0 0 0
#> [984,] 1 1 0 1 1
#> [985,] 0 1 0 1 0
#> [986,] 1 1 1 1 1
#> [987,] 1 0 1 1 1
#> [988,] 0 1 0 1 0
#> [989,] 0 1 0 1 0
#> [990,] 1 0 0 1 0
#> [991,] 1 1 1 1 1
#> [992,] 0 0 0 0 0
#> [993,] 0 1 0 1 0
#> [994,] 0 1 0 0 0
#> [995,] 1 1 1 1 1
#> [996,] 1 1 1 1 1
#> [997,] 1 0 1 1 1
#> [998,] 1 1 1 1 1
#> [999,] 1 1 1 1 1
#> [1000,] 1 0 1 1 1
## using MMLE/EM to fit GDINA model
example.CDM.obj <- CDM(example.data$dat, example.Q, model = "GDINA",
method = "EM", maxitr = 2000, verbose = 1)
#>
Iter = 1 Max. abs. change = 0.55466 Deviance = 30323.82
Iter = 2 Max. abs. change = 0.09488 Deviance = 25366.74
Iter = 3 Max. abs. change = 0.01057 Deviance = 25347.71
Iter = 4 Max. abs. change = 0.00413 Deviance = 25347.15
Iter = 5 Max. abs. change = 0.00315 Deviance = 25347.12
Iter = 6 Max. abs. change = 0.00161 Deviance = 25347.12
Iter = 7 Max. abs. change = 0.00146 Deviance = 25347.12
Iter = 8 Max. abs. change = 0.00073 Deviance = 25347.12
Iter = 9 Max. abs. change = 0.00258 Deviance = 25347.12
Iter = 10 Max. abs. change = 0.00071 Deviance = 25347.12
Iter = 11 Max. abs. change = 0.00090 Deviance = 25347.12
Iter = 12 Max. abs. change = 0.00077 Deviance = 25347.12
Iter = 13 Max. abs. change = 0.00018 Deviance = 25347.12
Iter = 14 Max. abs. change = 0.00038 Deviance = 25347.11
Iter = 15 Max. abs. change = 0.00024 Deviance = 25347.11
Iter = 16 Max. abs. change = 0.00006 Deviance = 25347.11
extract(example.CDM.obj,"alpha")
#> A1 A2 A3
#> [1,] 1 0 0
#> [2,] 1 1 1
#> [3,] 1 0 1
#> [4,] 0 0 1
#> [5,] 0 1 0
#> [6,] 1 0 1
#> [7,] 1 0 0
#> [8,] 1 0 0
#> [9,] 1 1 1
#> [10,] 1 0 1
#> [11,] 1 1 1
#> [12,] 1 1 1
#> [13,] 1 0 1
#> [14,] 1 0 0
#> [15,] 0 0 0
#> [16,] 1 0 0
#> [17,] 1 0 0
#> [18,] 0 0 0
#> [19,] 0 0 1
#> [20,] 0 0 1
#> [21,] 1 1 0
#> [22,] 0 0 0
#> [23,] 1 0 0
#> [24,] 1 0 0
#> [25,] 0 0 0
#> [26,] 1 0 1
#> [27,] 0 0 0
#> [28,] 1 0 0
#> [29,] 1 0 0
#> [30,] 1 0 1
#> [31,] 1 0 1
#> [32,] 1 0 0
#> [33,] 1 1 0
#> [34,] 1 0 1
#> [35,] 1 0 1
#> [36,] 1 1 0
#> [37,] 1 0 1
#> [38,] 1 0 1
#> [39,] 1 0 0
#> [40,] 1 0 0
#> [41,] 1 0 0
#> [42,] 1 0 1
#> [43,] 1 0 0
#> [44,] 1 1 1
#> [45,] 1 0 1
#> [46,] 1 1 1
#> [47,] 0 0 1
#> [48,] 1 0 0
#> [49,] 0 0 1
#> [50,] 1 0 1
#> [51,] 1 1 1
#> [52,] 1 0 1
#> [53,] 1 1 0
#> [54,] 1 1 1
#> [55,] 1 1 1
#> [56,] 0 0 0
#> [57,] 1 0 1
#> [58,] 1 1 0
#> [59,] 1 0 0
#> [60,] 0 0 0
#> [61,] 0 0 1
#> [62,] 1 0 1
#> [63,] 1 0 1
#> [64,] 0 0 1
#> [65,] 1 0 1
#> [66,] 1 0 0
#> [67,] 1 0 1
#> [68,] 0 0 1
#> [69,] 0 0 0
#> [70,] 0 0 1
#> [71,] 1 0 0
#> [72,] 0 0 1
#> [73,] 1 1 0
#> [74,] 1 0 1
#> [75,] 0 1 1
#> [76,] 0 1 1
#> [77,] 1 0 1
#> [78,] 1 0 0
#> [79,] 0 0 0
#> [80,] 1 0 0
#> [81,] 1 0 1
#> [82,] 1 0 0
#> [83,] 1 0 0
#> [84,] 0 0 0
#> [85,] 0 1 0
#> [86,] 0 0 0
#> [87,] 1 0 0
#> [88,] 1 0 0
#> [89,] 0 0 0
#> [90,] 1 0 1
#> [91,] 1 0 0
#> [92,] 0 0 0
#> [93,] 1 1 1
#> [94,] 0 0 0
#> [95,] 1 1 1
#> [96,] 1 0 0
#> [97,] 0 0 0
#> [98,] 1 0 1
#> [99,] 0 0 1
#> [100,] 0 0 1
#> [101,] 1 1 1
#> [102,] 1 0 0
#> [103,] 1 0 1
#> [104,] 1 0 1
#> [105,] 1 1 0
#> [106,] 0 0 0
#> [107,] 0 0 1
#> [108,] 1 1 1
#> [109,] 1 0 1
#> [110,] 1 1 1
#> [111,] 1 0 1
#> [112,] 1 1 1
#> [113,] 1 0 1
#> [114,] 0 0 0
#> [115,] 1 0 0
#> [116,] 0 0 1
#> [117,] 1 1 1
#> [118,] 1 1 1
#> [119,] 1 1 1
#> [120,] 1 0 1
#> [121,] 1 1 1
#> [122,] 0 1 0
#> [123,] 1 1 1
#> [124,] 0 0 0
#> [125,] 1 1 0
#> [126,] 1 1 0
#> [127,] 0 0 0
#> [128,] 1 0 0
#> [129,] 0 0 0
#> [130,] 1 0 0
#> [131,] 1 1 0
#> [132,] 0 0 1
#> [133,] 1 1 1
#> [134,] 1 0 1
#> [135,] 1 1 1
#> [136,] 1 0 1
#> [137,] 1 0 1
#> [138,] 0 0 1
#> [139,] 1 0 1
#> [140,] 1 1 0
#> [141,] 1 0 0
#> [142,] 0 0 0
#> [143,] 1 1 1
#> [144,] 0 0 0
#> [145,] 1 0 1
#> [146,] 1 0 1
#> [147,] 0 0 0
#> [148,] 1 1 1
#> [149,] 1 0 1
#> [150,] 1 0 1
#> [151,] 1 1 0
#> [152,] 1 0 0
#> [153,] 0 0 0
#> [154,] 1 0 1
#> [155,] 1 0 0
#> [156,] 1 1 0
#> [157,] 1 0 0
#> [158,] 1 0 1
#> [159,] 1 0 1
#> [160,] 1 1 1
#> [161,] 1 0 0
#> [162,] 0 0 1
#> [163,] 0 0 0
#> [164,] 0 0 1
#> [165,] 0 0 0
#> [166,] 1 0 0
#> [167,] 0 0 1
#> [168,] 0 0 1
#> [169,] 1 0 1
#> [170,] 1 0 0
#> [171,] 1 1 1
#> [172,] 1 0 1
#> [173,] 0 0 1
#> [174,] 1 0 1
#> [175,] 0 0 0
#> [176,] 0 1 0
#> [177,] 1 0 1
#> [178,] 1 0 0
#> [179,] 1 1 1
#> [180,] 1 0 1
#> [181,] 1 0 0
#> [182,] 0 0 0
#> [183,] 1 0 1
#> [184,] 1 0 0
#> [185,] 0 0 0
#> [186,] 1 0 1
#> [187,] 1 0 1
#> [188,] 1 0 1
#> [189,] 0 0 0
#> [190,] 1 0 0
#> [191,] 1 1 1
#> [192,] 0 0 0
#> [193,] 1 1 1
#> [194,] 1 0 0
#> [195,] 0 0 1
#> [196,] 1 0 0
#> [197,] 1 0 1
#> [198,] 1 0 0
#> [199,] 1 1 0
#> [200,] 1 0 0
#> [201,] 0 0 0
#> [202,] 1 0 1
#> [203,] 1 0 1
#> [204,] 0 0 0
#> [205,] 0 0 0
#> [206,] 1 1 1
#> [207,] 0 0 0
#> [208,] 1 0 0
#> [209,] 0 1 1
#> [210,] 1 1 1
#> [211,] 1 0 1
#> [212,] 1 1 1
#> [213,] 1 0 0
#> [214,] 0 0 0
#> [215,] 1 0 0
#> [216,] 1 1 0
#> [217,] 1 1 1
#> [218,] 1 0 0
#> [219,] 0 0 1
#> [220,] 0 0 1
#> [221,] 1 0 1
#> [222,] 1 0 0
#> [223,] 0 0 0
#> [224,] 1 1 1
#> [225,] 0 0 0
#> [226,] 1 1 0
#> [227,] 1 1 1
#> [228,] 1 1 1
#> [229,] 1 1 1
#> [230,] 1 0 0
#> [231,] 1 0 0
#> [232,] 0 0 0
#> [233,] 1 0 0
#> [234,] 1 1 1
#> [235,] 0 0 1
#> [236,] 0 0 0
#> [237,] 1 0 0
#> [238,] 1 0 1
#> [239,] 0 0 0
#> [240,] 1 0 0
#> [241,] 1 0 1
#> [242,] 1 0 1
#> [243,] 0 0 0
#> [244,] 1 1 1
#> [245,] 1 0 0
#> [246,] 1 0 1
#> [247,] 1 0 1
#> [248,] 1 0 0
#> [249,] 0 0 0
#> [250,] 1 1 0
#> [251,] 1 0 0
#> [252,] 1 0 1
#> [253,] 0 0 0
#> [254,] 1 0 1
#> [255,] 0 0 1
#> [256,] 1 0 1
#> [257,] 1 1 1
#> [258,] 0 0 1
#> [259,] 1 1 1
#> [260,] 1 1 1
#> [261,] 1 0 0
#> [262,] 1 0 1
#> [263,] 1 0 0
#> [264,] 1 1 0
#> [265,] 1 0 0
#> [266,] 1 0 1
#> [267,] 1 0 0
#> [268,] 1 0 0
#> [269,] 1 1 1
#> [270,] 1 1 1
#> [271,] 1 1 1
#> [272,] 1 0 0
#> [273,] 1 0 1
#> [274,] 1 1 1
#> [275,] 1 1 1
#> [276,] 1 0 0
#> [277,] 1 0 0
#> [278,] 0 0 0
#> [279,] 1 1 1
#> [280,] 0 0 0
#> [281,] 1 1 0
#> [282,] 1 0 0
#> [283,] 1 0 1
#> [284,] 1 1 1
#> [285,] 1 0 1
#> [286,] 1 0 0
#> [287,] 0 0 0
#> [288,] 1 0 1
#> [289,] 1 0 0
#> [290,] 1 0 0
#> [291,] 1 0 0
#> [292,] 1 0 0
#> [293,] 1 0 0
#> [294,] 1 0 0
#> [295,] 1 1 0
#> [296,] 1 0 0
#> [297,] 1 0 1
#> [298,] 1 0 0
#> [299,] 1 0 0
#> [300,] 1 0 1
#> [301,] 0 0 0
#> [302,] 0 0 0
#> [303,] 0 0 0
#> [304,] 1 0 1
#> [305,] 1 1 1
#> [306,] 1 0 1
#> [307,] 1 0 1
#> [308,] 0 0 0
#> [309,] 1 1 1
#> [310,] 1 1 1
#> [311,] 1 0 0
#> [312,] 1 0 1
#> [313,] 0 0 0
#> [314,] 0 0 0
#> [315,] 1 1 1
#> [316,] 1 1 1
#> [317,] 0 0 0
#> [318,] 1 0 1
#> [319,] 0 0 0
#> [320,] 0 0 0
#> [321,] 0 0 0
#> [322,] 1 0 1
#> [323,] 0 0 1
#> [324,] 1 1 0
#> [325,] 0 0 1
#> [326,] 0 0 0
#> [327,] 1 0 0
#> [328,] 1 0 1
#> [329,] 1 1 1
#> [330,] 1 0 1
#> [331,] 0 0 1
#> [332,] 0 1 1
#> [333,] 1 0 1
#> [334,] 1 0 1
#> [335,] 1 0 0
#> [336,] 1 1 1
#> [337,] 1 0 0
#> [338,] 1 1 1
#> [339,] 1 0 1
#> [340,] 1 1 1
#> [341,] 1 0 1
#> [342,] 1 0 1
#> [343,] 1 0 0
#> [344,] 1 0 0
#> [345,] 0 0 0
#> [346,] 1 1 1
#> [347,] 1 1 1
#> [348,] 1 0 0
#> [349,] 1 0 1
#> [350,] 1 1 1
#> [351,] 1 0 1
#> [352,] 1 0 0
#> [353,] 1 0 0
#> [354,] 0 0 0
#> [355,] 1 1 1
#> [356,] 0 0 0
#> [357,] 0 0 0
#> [358,] 0 0 0
#> [359,] 1 0 1
#> [360,] 1 0 1
#> [361,] 1 0 1
#> [362,] 1 1 1
#> [363,] 0 0 0
#> [364,] 1 1 0
#> [365,] 0 0 0
#> [366,] 1 0 0
#> [367,] 0 0 0
#> [368,] 0 0 1
#> [369,] 1 0 0
#> [370,] 1 0 1
#> [371,] 1 0 1
#> [372,] 0 0 0
#> [373,] 1 1 0
#> [374,] 1 0 0
#> [375,] 1 0 1
#> [376,] 1 0 0
#> [377,] 0 0 0
#> [378,] 1 0 1
#> [379,] 0 0 0
#> [380,] 1 0 1
#> [381,] 1 0 1
#> [382,] 1 1 1
#> [383,] 1 0 1
#> [384,] 1 1 1
#> [385,] 1 0 0
#> [386,] 1 1 1
#> [387,] 1 0 0
#> [388,] 1 0 1
#> [389,] 1 0 1
#> [390,] 1 0 0
#> [391,] 1 1 1
#> [392,] 1 0 0
#> [393,] 1 0 1
#> [394,] 1 0 0
#> [395,] 1 0 1
#> [396,] 1 0 0
#> [397,] 1 0 1
#> [398,] 0 0 0
#> [399,] 1 0 0
#> [400,] 1 0 0
#> [401,] 1 1 1
#> [402,] 1 1 0
#> [403,] 1 0 0
#> [404,] 0 0 0
#> [405,] 1 0 1
#> [406,] 1 0 1
#> [407,] 0 1 1
#> [408,] 1 0 0
#> [409,] 1 0 0
#> [410,] 1 0 0
#> [411,] 0 0 0
#> [412,] 1 0 1
#> [413,] 0 0 0
#> [414,] 1 1 0
#> [415,] 1 0 0
#> [416,] 0 0 1
#> [417,] 1 0 0
#> [418,] 1 0 0
#> [419,] 1 0 0
#> [420,] 0 0 0
#> [421,] 1 1 1
#> [422,] 0 0 1
#> [423,] 0 0 0
#> [424,] 1 0 0
#> [425,] 1 0 0
#> [426,] 1 0 0
#> [427,] 1 0 0
#> [428,] 0 0 1
#> [429,] 1 0 0
#> [430,] 1 0 1
#> [431,] 1 0 0
#> [432,] 0 0 0
#> [433,] 1 0 1
#> [434,] 1 1 1
#> [435,] 1 0 0
#> [436,] 1 0 1
#> [437,] 1 0 0
#> [438,] 1 0 0
#> [439,] 1 0 0
#> [440,] 1 0 0
#> [441,] 1 0 1
#> [442,] 1 0 1
#> [443,] 1 0 1
#> [444,] 0 0 0
#> [445,] 1 0 1
#> [446,] 1 0 1
#> [447,] 1 0 0
#> [448,] 1 0 0
#> [449,] 0 0 0
#> [450,] 1 0 0
#> [451,] 1 1 1
#> [452,] 1 1 0
#> [453,] 1 0 1
#> [454,] 1 0 0
#> [455,] 1 0 0
#> [456,] 0 0 0
#> [457,] 1 0 0
#> [458,] 1 0 1
#> [459,] 1 0 0
#> [460,] 1 0 0
#> [461,] 0 0 0
#> [462,] 1 0 1
#> [463,] 1 0 1
#> [464,] 1 0 0
#> [465,] 1 1 1
#> [466,] 0 0 1
#> [467,] 1 0 1
#> [468,] 1 1 1
#> [469,] 0 0 1
#> [470,] 1 0 1
#> [471,] 0 0 0
#> [472,] 1 0 0
#> [473,] 1 0 1
#> [474,] 1 0 0
#> [475,] 0 0 1
#> [476,] 1 1 1
#> [477,] 0 0 0
#> [478,] 1 0 0
#> [479,] 1 0 1
#> [480,] 1 0 1
#> [481,] 1 0 0
#> [482,] 0 0 0
#> [483,] 1 0 0
#> [484,] 0 0 0
#> [485,] 1 0 0
#> [486,] 1 0 0
#> [487,] 0 0 0
#> [488,] 1 0 1
#> [489,] 0 0 0
#> [490,] 0 0 0
#> [491,] 1 1 1
#> [492,] 1 0 0
#> [493,] 0 0 0
#> [494,] 1 0 1
#> [495,] 1 0 1
#> [496,] 1 0 0
#> [497,] 1 1 1
#> [498,] 1 0 1
#> [499,] 1 0 1
#> [500,] 1 0 1
#> [501,] 1 0 0
#> [502,] 1 1 1
#> [503,] 1 1 0
#> [504,] 1 0 0
#> [505,] 1 0 1
#> [506,] 0 0 1
#> [507,] 0 1 1
#> [508,] 0 0 0
#> [509,] 1 1 1
#> [510,] 1 1 0
#> [511,] 1 0 0
#> [512,] 0 0 0
#> [513,] 1 0 0
#> [514,] 0 0 1
#> [515,] 1 1 1
#> [516,] 1 0 1
#> [517,] 1 0 1
#> [518,] 0 0 0
#> [519,] 1 1 1
#> [520,] 1 1 1
#> [521,] 1 0 1
#> [522,] 1 0 1
#> [523,] 0 1 1
#> [524,] 0 0 0
#> [525,] 1 1 1
#> [526,] 0 0 0
#> [527,] 1 0 0
#> [528,] 1 1 1
#> [529,] 1 0 0
#> [530,] 1 0 1
#> [531,] 1 0 1
#> [532,] 0 0 0
#> [533,] 1 0 0
#> [534,] 1 0 0
#> [535,] 0 1 1
#> [536,] 0 0 1
#> [537,] 1 0 0
#> [538,] 1 0 1
#> [539,] 1 0 1
#> [540,] 1 1 1
#> [541,] 1 0 0
#> [542,] 1 0 0
#> [543,] 1 1 0
#> [544,] 1 1 1
#> [545,] 0 0 1
#> [546,] 1 1 1
#> [547,] 0 0 0
#> [548,] 0 0 1
#> [549,] 1 1 1
#> [550,] 0 0 0
#> [551,] 1 1 1
#> [552,] 1 1 1
#> [553,] 1 1 1
#> [554,] 1 1 0
#> [555,] 1 0 1
#> [556,] 0 0 0
#> [557,] 0 0 0
#> [558,] 1 1 0
#> [559,] 0 0 0
#> [560,] 1 0 0
#> [561,] 0 0 0
#> [562,] 1 1 0
#> [563,] 0 0 0
#> [564,] 0 1 0
#> [565,] 1 0 1
#> [566,] 1 1 0
#> [567,] 1 0 0
#> [568,] 1 1 1
#> [569,] 0 0 1
#> [570,] 0 0 0
#> [571,] 1 1 0
#> [572,] 1 1 1
#> [573,] 1 0 0
#> [574,] 1 0 0
#> [575,] 0 0 0
#> [576,] 1 0 0
#> [577,] 1 0 1
#> [578,] 1 1 1
#> [579,] 1 1 0
#> [580,] 1 0 1
#> [581,] 1 0 0
#> [582,] 0 1 1
#> [583,] 1 0 1
#> [584,] 1 1 1
#> [585,] 1 0 1
#> [586,] 1 0 0
#> [587,] 1 1 1
#> [588,] 1 0 0
#> [589,] 1 0 1
#> [590,] 1 0 1
#> [591,] 0 0 0
#> [592,] 1 0 0
#> [593,] 1 0 1
#> [594,] 1 0 0
#> [595,] 1 0 1
#> [596,] 1 0 0
#> [597,] 1 0 0
#> [598,] 0 0 0
#> [599,] 1 1 1
#> [600,] 0 0 1
#> [601,] 0 0 0
#> [602,] 1 1 0
#> [603,] 1 0 0
#> [604,] 1 0 0
#> [605,] 1 1 0
#> [606,] 1 1 0
#> [607,] 1 0 1
#> [608,] 0 1 1
#> [609,] 0 0 0
#> [610,] 1 1 1
#> [611,] 0 0 0
#> [612,] 1 1 0
#> [613,] 1 0 1
#> [614,] 0 0 1
#> [615,] 1 0 1
#> [616,] 1 1 1
#> [617,] 1 0 0
#> [618,] 1 0 1
#> [619,] 0 0 0
#> [620,] 0 0 1
#> [621,] 1 0 0
#> [622,] 1 0 1
#> [623,] 1 0 0
#> [624,] 0 0 0
#> [625,] 1 0 1
#> [626,] 1 0 0
#> [627,] 1 0 1
#> [628,] 1 0 1
#> [629,] 0 0 0
#> [630,] 1 0 1
#> [631,] 1 0 1
#> [632,] 1 1 1
#> [633,] 1 0 0
#> [634,] 0 0 0
#> [635,] 0 1 0
#> [636,] 1 0 1
#> [637,] 1 0 1
#> [638,] 0 1 1
#> [639,] 0 1 1
#> [640,] 1 0 0
#> [641,] 1 1 1
#> [642,] 0 0 0
#> [643,] 1 0 0
#> [644,] 0 0 1
#> [645,] 1 0 1
#> [646,] 1 0 1
#> [647,] 1 1 1
#> [648,] 1 1 1
#> [649,] 1 0 1
#> [650,] 1 0 0
#> [651,] 1 0 0
#> [652,] 1 0 1
#> [653,] 1 0 1
#> [654,] 1 1 1
#> [655,] 1 0 1
#> [656,] 0 0 0
#> [657,] 1 1 1
#> [658,] 0 0 1
#> [659,] 1 0 0
#> [660,] 1 0 1
#> [661,] 0 0 0
#> [662,] 1 1 1
#> [663,] 1 0 1
#> [664,] 1 0 0
#> [665,] 1 1 1
#> [666,] 1 1 1
#> [667,] 0 0 1
#> [668,] 0 0 1
#> [669,] 1 1 1
#> [670,] 0 0 0
#> [671,] 1 0 1
#> [672,] 1 0 1
#> [673,] 1 0 0
#> [674,] 1 0 1
#> [675,] 0 0 0
#> [676,] 1 1 1
#> [677,] 0 0 0
#> [678,] 1 1 1
#> [679,] 0 0 0
#> [680,] 1 1 1
#> [681,] 1 0 1
#> [682,] 1 1 1
#> [683,] 1 1 1
#> [684,] 0 0 0
#> [685,] 1 1 1
#> [686,] 1 0 0
#> [687,] 1 0 0
#> [688,] 1 0 1
#> [689,] 0 0 0
#> [690,] 1 0 0
#> [691,] 1 1 1
#> [692,] 0 0 0
#> [693,] 1 0 0
#> [694,] 1 0 1
#> [695,] 0 0 0
#> [696,] 1 0 0
#> [697,] 1 0 0
#> [698,] 1 0 1
#> [699,] 1 0 1
#> [700,] 0 0 0
#> [701,] 1 1 1
#> [702,] 1 0 1
#> [703,] 1 1 1
#> [704,] 0 0 0
#> [705,] 1 0 1
#> [706,] 0 0 0
#> [707,] 0 0 0
#> [708,] 0 0 0
#> [709,] 1 0 1
#> [710,] 0 0 1
#> [711,] 0 0 1
#> [712,] 1 0 1
#> [713,] 1 0 0
#> [714,] 1 1 0
#> [715,] 1 0 0
#> [716,] 0 0 0
#> [717,] 0 0 1
#> [718,] 1 1 1
#> [719,] 0 0 0
#> [720,] 1 0 0
#> [721,] 0 0 0
#> [722,] 1 0 1
#> [723,] 1 0 1
#> [724,] 1 0 1
#> [725,] 0 0 0
#> [726,] 0 0 0
#> [727,] 1 0 0
#> [728,] 1 1 0
#> [729,] 0 0 0
#> [730,] 1 0 0
#> [731,] 1 0 1
#> [732,] 1 0 0
#> [733,] 1 0 0
#> [734,] 0 0 0
#> [735,] 0 0 0
#> [736,] 1 0 0
#> [737,] 0 0 0
#> [738,] 1 1 0
#> [739,] 1 0 1
#> [740,] 1 0 1
#> [741,] 0 0 0
#> [742,] 1 0 0
#> [743,] 1 0 1
#> [744,] 0 0 0
#> [745,] 1 1 1
#> [746,] 0 0 0
#> [747,] 0 0 0
#> [748,] 1 1 1
#> [749,] 1 0 1
#> [750,] 1 1 1
#> [751,] 1 0 1
#> [752,] 0 0 1
#> [753,] 0 1 0
#> [754,] 0 0 0
#> [755,] 1 0 1
#> [756,] 1 0 1
#> [757,] 1 0 0
#> [758,] 1 1 0
#> [759,] 1 1 0
#> [760,] 1 0 1
#> [761,] 1 1 1
#> [762,] 1 1 1
#> [763,] 1 0 1
#> [764,] 1 0 1
#> [765,] 1 0 1
#> [766,] 1 1 1
#> [767,] 1 1 1
#> [768,] 1 0 0
#> [769,] 1 0 0
#> [770,] 0 0 0
#> [771,] 1 0 1
#> [772,] 1 0 1
#> [773,] 1 1 1
#> [774,] 0 0 0
#> [775,] 1 0 0
#> [776,] 1 0 1
#> [777,] 0 0 0
#> [778,] 1 1 0
#> [779,] 1 1 1
#> [780,] 1 1 1
#> [781,] 1 1 1
#> [782,] 1 1 1
#> [783,] 1 0 0
#> [784,] 1 1 1
#> [785,] 0 0 0
#> [786,] 1 0 0
#> [787,] 1 0 1
#> [788,] 1 1 1
#> [789,] 0 0 0
#> [790,] 1 1 1
#> [791,] 1 1 1
#> [792,] 1 1 1
#> [793,] 1 0 0
#> [794,] 1 0 1
#> [795,] 1 1 0
#> [796,] 1 0 1
#> [797,] 1 0 0
#> [798,] 1 0 0
#> [799,] 0 0 0
#> [800,] 1 0 1
#> [801,] 0 1 1
#> [802,] 1 0 0
#> [803,] 0 0 1
#> [804,] 1 0 1
#> [805,] 0 0 0
#> [806,] 1 0 1
#> [807,] 1 0 1
#> [808,] 1 0 0
#> [809,] 1 0 1
#> [810,] 1 0 1
#> [811,] 0 1 0
#> [812,] 1 1 1
#> [813,] 1 1 1
#> [814,] 1 1 1
#> [815,] 0 0 0
#> [816,] 0 0 0
#> [817,] 1 0 0
#> [818,] 1 0 0
#> [819,] 1 0 1
#> [820,] 1 1 1
#> [821,] 0 0 0
#> [822,] 1 0 1
#> [823,] 1 1 1
#> [824,] 0 0 1
#> [825,] 1 0 1
#> [826,] 1 1 0
#> [827,] 1 0 0
#> [828,] 1 0 1
#> [829,] 1 0 1
#> [830,] 1 1 1
#> [831,] 1 0 1
#> [832,] 1 1 0
#> [833,] 0 0 0
#> [834,] 0 0 1
#> [835,] 0 0 1
#> [836,] 0 0 0
#> [837,] 1 1 0
#> [838,] 1 1 0
#> [839,] 1 0 0
#> [840,] 1 0 0
#> [841,] 0 0 1
#> [842,] 1 1 1
#> [843,] 1 0 0
#> [844,] 1 1 1
#> [845,] 1 1 0
#> [846,] 0 0 0
#> [847,] 1 0 0
#> [848,] 1 0 1
#> [849,] 1 0 0
#> [850,] 1 0 1
#> [851,] 1 0 1
#> [852,] 0 0 0
#> [853,] 0 0 0
#> [854,] 0 0 0
#> [855,] 1 0 1
#> [856,] 1 1 1
#> [857,] 1 1 1
#> [858,] 1 0 1
#> [859,] 1 0 1
#> [860,] 1 0 0
#> [861,] 1 0 0
#> [862,] 1 0 1
#> [863,] 1 0 1
#> [864,] 0 0 0
#> [865,] 1 0 0
#> [866,] 1 0 0
#> [867,] 1 0 0
#> [868,] 1 0 0
#> [869,] 1 0 1
#> [870,] 0 0 0
#> [871,] 1 0 0
#> [872,] 1 0 0
#> [873,] 1 1 1
#> [874,] 1 0 0
#> [875,] 1 1 1
#> [876,] 1 0 1
#> [877,] 1 1 1
#> [878,] 1 0 0
#> [879,] 1 0 1
#> [880,] 1 0 1
#> [881,] 1 0 1
#> [882,] 0 0 0
#> [883,] 0 0 1
#> [884,] 0 0 0
#> [885,] 0 0 0
#> [886,] 1 1 0
#> [887,] 1 0 0
#> [888,] 1 0 1
#> [889,] 1 1 1
#> [890,] 1 0 0
#> [891,] 1 0 1
#> [892,] 0 1 1
#> [893,] 0 1 0
#> [894,] 1 0 0
#> [895,] 1 0 1
#> [896,] 1 0 1
#> [897,] 1 0 1
#> [898,] 1 1 0
#> [899,] 1 0 1
#> [900,] 1 0 1
#> [901,] 0 0 0
#> [902,] 1 0 0
#> [903,] 0 0 0
#> [904,] 1 0 1
#> [905,] 0 0 1
#> [906,] 1 1 0
#> [907,] 0 0 0
#> [908,] 1 0 1
#> [909,] 1 1 1
#> [910,] 0 0 0
#> [911,] 0 0 0
#> [912,] 1 0 1
#> [913,] 1 0 1
#> [914,] 1 0 0
#> [915,] 0 0 1
#> [916,] 1 1 1
#> [917,] 1 0 0
#> [918,] 1 1 0
#> [919,] 1 0 1
#> [920,] 1 0 1
#> [921,] 1 0 0
#> [922,] 1 0 0
#> [923,] 1 0 1
#> [924,] 1 0 1
#> [925,] 1 0 0
#> [926,] 0 0 0
#> [927,] 1 0 0
#> [928,] 1 0 1
#> [929,] 1 0 1
#> [930,] 1 0 1
#> [931,] 0 0 1
#> [932,] 1 0 0
#> [933,] 0 0 0
#> [934,] 1 0 0
#> [935,] 1 0 1
#> [936,] 1 0 1
#> [937,] 1 0 0
#> [938,] 1 0 1
#> [939,] 1 0 0
#> [940,] 0 0 0
#> [941,] 1 1 1
#> [942,] 0 0 0
#> [943,] 1 0 0
#> [944,] 0 0 0
#> [945,] 1 0 1
#> [946,] 1 0 0
#> [947,] 0 0 0
#> [948,] 0 0 0
#> [949,] 1 0 0
#> [950,] 0 0 1
#> [951,] 0 0 0
#> [952,] 1 0 0
#> [953,] 0 0 0
#> [954,] 0 1 0
#> [955,] 1 0 0
#> [956,] 0 0 0
#> [957,] 1 0 1
#> [958,] 1 0 1
#> [959,] 1 0 0
#> [960,] 1 1 0
#> [961,] 1 1 1
#> [962,] 1 1 0
#> [963,] 1 1 1
#> [964,] 0 0 0
#> [965,] 1 0 1
#> [966,] 1 0 1
#> [967,] 1 0 0
#> [968,] 1 0 1
#> [969,] 1 0 0
#> [970,] 1 0 1
#> [971,] 1 0 0
#> [972,] 1 1 1
#> [973,] 1 0 1
#> [974,] 1 1 1
#> [975,] 1 1 0
#> [976,] 0 0 0
#> [977,] 1 0 1
#> [978,] 1 0 1
#> [979,] 1 1 0
#> [980,] 1 0 1
#> [981,] 1 1 0
#> [982,] 1 0 1
#> [983,] 0 0 0
#> [984,] 1 0 1
#> [985,] 1 0 0
#> [986,] 1 1 1
#> [987,] 1 1 1
#> [988,] 1 0 0
#> [989,] 1 0 0
#> [990,] 0 0 1
#> [991,] 1 0 1
#> [992,] 1 0 0
#> [993,] 1 0 0
#> [994,] 1 0 0
#> [995,] 1 1 1
#> [996,] 1 0 1
#> [997,] 1 0 1
#> [998,] 1 1 1
#> [999,] 1 0 1
#> [1000,] 1 0 1
extract(example.CDM.obj,"npar")
#> [1] 125
example.MQ <- sim.MQ(example.Q, 0.1)
#> rate of mis-specifications = 0.1
#> rate of over-specifications = 0.06
#> rate of under-specifications = 0.04
example.CDM.obj <- CDM(example.data$dat, example.MQ, model = "GDINA",
method = "EM", maxitr = 2000, verbose = 1)
#>
Iter = 1 Max. abs. change = 0.59649 Deviance = 32501.03
Iter = 2 Max. abs. change = 0.14776 Deviance = 26200.83
Iter = 3 Max. abs. change = 0.04065 Deviance = 26166.97
Iter = 4 Max. abs. change = 0.01112 Deviance = 26165.17
Iter = 5 Max. abs. change = 0.00870 Deviance = 26165.03
Iter = 6 Max. abs. change = 0.00136 Deviance = 26165.00
Iter = 7 Max. abs. change = 0.00059 Deviance = 26165.00
Iter = 8 Max. abs. change = 0.00022 Deviance = 26165.00
Iter = 9 Max. abs. change = 0.00014 Deviance = 26165.00
Iter = 10 Max. abs. change = 0.00006 Deviance = 26165.00
validation.obj <- validation(example.data$dat, example.MQ, example.CDM.obj, method = "MLR-B", eps = 0.90)
#> MLR-B method with PAA in test level iteration ...
#> Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
#> Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
#> Iter = 1/ 1, 11 items have changed, ΔAIC=632.65823
extract(validation.obj,"Q.sug")
#> A1 A2 A3
#> item 1 1 1 1
#> item 2 1 1 1
#> item 3 1 1 1
#> item 4 1 1 1
#> item 5 0 1 1
#> item 6 0 0 1
#> item 7 0 0 1
#> item 8 0 0 1
#> item 9 0 1 0
#> item 10 1 1 1
#> item 11 1 1 0
#> item 12 1 0 0
#> item 13 0 1 0
#> item 14 1 0 1
#> item 15 0 0 1
#> item 16 0 1 1
#> item 17 0 1 0
#> item 18 0 1 0
#> item 19 1 1 0
#> item 20 0 0 1
#> item 21 0 1 1
#> item 22 0 1 0
#> item 23 0 1 0
#> item 24 1 1 0
#> item 25 1 0 1
#> item 26 0 0 1
#> item 27 1 0 0
#> item 28 0 0 1
#> item 29 1 0 1
#> item 30 1 1 1