The changepointGA package applies Genetic Algorithms (GA) to detect both single and multiple changepoints in time series data. Each candidate solution encodes changepoint locations as integer-valued time indices, allowing for flexible representation of changepoint configurations. Because each changepoint introduces at least one associated model parameter, the total number of parameters is not fixed in the multiple changepoint setting. Consequently, the model parameter vector must adapt dynamically as the number and location of changepoints vary. Unlike fixed-length encodings, changepointGA supports variable-length chromosome representations. By encoding each changepoint as an integer, the algorithm dynamically adjusts the dimensionality of the model parameter vector and jointly optimizes the model fitness function. Additionally, in many classical time series models—such as autoregressive (AR), moving average (MA), autoregressive moving average (ARMA), and periodic autoregression (PAR)—model selection traditionally involves determining the appropriate order (e.g., the AR or MA lag length) before detecting changepoints. This separate step can introduce additional complexity and potential error. In contrast, our changepointGA can simultaneously estimates integer-valued model hyperparameters (e.g., model orders), model parameters, and changepoint configurations. This integrated approach eliminates the need for a separate model selection phase and supports a more unified and efficient framework for changepoint detection.
This package includes the time series simulation function
ts_sim() with the ability to introduce changepoint effects.
The time series could be simulated from a class of time series
models,
\[Z_{t}=\mu_{t}+e_{t}.\]
The model could be specified by the arguments of phi and
theta, representing the AR coefficients of and the MA
coefficients for the ARMA model. The default values of phi
and theta are NULL, generating time series
with \(e_{t}\) that are independent and
identically \(N(0,\sigma^{2})\)
distributed. If we assign values to phi and/or
theta, the \(e_{t}\) will
be generated from an ARMA(\(p\),\(q\)) process, where \(p\) equals the number of values in
phi and \(q\) equals the
number of values in theta. For the above model, \(\mu_{t}\) denotes time-varying mean
function and the mean changepoint effects could be introduced through
indicator functions to \(\mu_{t}\).
Note that the changepointGA could also work with other
time series model as long as the fitness function is appropriately
specified. To illustrate the package usage, we will generate the \(e_{t}\) following an ARMA(\(p=1\),\(q=1\)) process. The AR coefficient is \(\phi=0.5\) and the MA coefficient is \(\theta=0.8\). The time varying mean values
are generated through the following equation,
\[\mu_{t}=\beta_{0}+\Delta_{1}I_{[t>\tau_{1}]} + \Delta_{2}I_{[t>\tau_{2}]},\]
including the intercept term with \(\beta_{0}=0.5\) and two changepoints at
\(\tau_{1}=125\) and \(\tau_{2}=375\) with the mean changing
effects of \(\Delta_{1}=2\) and \(\Delta_{2}=-2\). The users can also include
additional covariates into matrix (XMatT below) for other
possible model dynamics, such as tread and seasonalities.
Ts <- 200
betaT <- c(0.5) # intercept
XMatT <- matrix(rep(1, Ts), ncol = 1)
colnames(XMatT) <- c("intercept")
sigmaT <- 1
phiT <- c(0.5)
thetaT <- c(0.8)
DeltaT <- c(2, -2)
CpLocT <- c(50, 150)
myts <- ts_sim(Ts=Ts, beta = betaT, XMat = XMatT, sigma = sigmaT, phi = phiT, theta = thetaT, Delta = DeltaT, CpLoc = CpLocT, seed = 1234)
str(myts)
#> num [1:200, 1] -2.006 -2.328 -1.47 0.526 1.17 ...
#> - attr(*, "DesignX")= num [1:200, 1:3] 1 1 1 1 1 1 1 1 1 1 ...
#> ..- attr(*, "dimnames")=List of 2
#> .. ..$ : NULL
#> .. ..$ : chr [1:3] "intercept" "" ""
#> - attr(*, "mu")= num [1:200, 1] 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 ...
#> - attr(*, "theta")= num [1:3] 0.5 2 -2
#> - attr(*, "CpEff")= num [1:2] 2 -2
#> - attr(*, "CpLoc")= num [1:2] 50 150
#> - attr(*, "arEff")= num 0.5
#> - attr(*, "maEff")= num 0.8
#> - attr(*, "diffEff")= num 0
#> - attr(*, "seed")= num 1234The simulated time series could be plotted in the figure below. The vertical dashed blue lines indicate the true changepoint location and the horizontal red dashed segments represent the time series segment sample mean. We can clearly observe the mean changing effects from the introduced changepoints \(\tau_{1}=250\) and \(\tau_{2}=500\). The changepointGA package will be used to detected these two changepoints.
plot(x = 1:Ts, y = myts, type = "l", xlab = "Time", ylab = "Y")
abline(v = CpLocT, lty = "dashed", col = "blue", lwd = 2)
## Segmentation sample mean calculation and plotting
m <- length(CpLocT)
tauclc <- c(1, CpLocT, Ts + 1)
seg.len <- diff(tauclc)
ff <- rep(0:m, times = seg.len)
Xseg <- split(myts, ff)
mu.seg <- unlist(lapply(Xseg, mean), use.names = F)
for (i in 1:(m + 1)) {
segments(
x0 = tauclc[i], y0 = mu.seg[i],
x1 = tauclc[i + 1], y1 = mu.seg[i],
col = "red", lty = "dashed", lwd = 2
)
}Considering the model used in the data simulation, we could use the R
function, ARIMA.BIC.Order(), included in the
changepointGA package. This function inputs include
the
chromosome, consists of the number of changepoints, the
order of AR component (refers to the number of lagged terms used to
model the current value of a time series), the order of MA component
(refers to the number of lagged error terms used to model the current
value of a time series), the changepoint locations, and a value of time
series sample size plus 1 (\(N+1\))
indicating the end of the chromosome;plen represents the number of model order
hyperparameters. We have plen=2 for this example
representing one hyperparameter for AR order and one hyperparameter for
MA order;XMat requires the design matrix, including the
of-interested covariates;Xt requires the simulated time series data
objects.Given a specific chromosome that encodes the ARMA model structure—namely, the AR and moving average (MA) orders—as well as the changepoint configuration, the function ARIMA.BIC.Order() evaluates the BIC for the corresponding segmented model. The returned BIC value serves as the fitness score of that configuration. The example below presents the BIC value computed at the true changepoint locations with the true ARMA model orders, providing a benchmark for comparison.
The GA requires users to set up an objective function
(ObjFunc), sample size of the time series (N).
All other algorithm hyperparameters, such as popSize,
pcrossover, pmutation and etc, can be
specified through the function arguments. Please use ?cptga
to see help detailed documentation.
A special note is warranted regarding the setup of the
prange argument:
NULL.prange must be specified as a list, where each element
defines the permissible range for one model order parameter. The length
of this list must match the number of model order parameters to be
estimated in the objective function.As shown below, we will have 40 individual chromosomes in the
population for each generation. prange is a list object
containing integer values ranges for parameters phi and
theta. For example, in the code snippet below,
prange specifies that the AR and MA orders can vary from
the set \(\{0, 1, 2\}\).
The population initialization step generates the initial set of
chromosomes for the GA. This is controlled by the population operator by
the argument popInitialize, which is one of the four
required components in the GA or island model GA for the
cptga() function—namely: population, selection, crossover,
and mutation.
By default, the population operator randomly generates a matrix-like
R object, where each column represents a chromosome (i.e., a candidate
solution). The matrix should have lmax rows and
popSize columns, where lmax is the maximum
chromosome length and popSize is the number of individuals
in the population.
To improve performance or guide the search, users may replace the default population operator by supplying a custom initialization matrix with the same dimensions. Providing informed or domain-specific initial solutions can lead to faster convergence and improved optimization outcomes.
suggestions is a list object where each element
specifies a vector of changepoint locations for one chromosome.NULL, meaning the population is
entirely randomly initialized.length(suggestions) == popSize, all chromosomes in
the population will be taken from suggestions.length(suggestions) < popSize, the remaining
chromosomes will be filled in using the default popInitialize
method.Providing better or more informed suggestions can help the Genetic Algorithm converge faster by giving it a more promising starting point.
Each element of the list corresponds to a candidate changepoint configuration. In this example, 4 suggestions are provided:
NULL indicates no changepoint;c(50) suggests a single changepoint at time 50;c(50, 150) specifies changepoints at time 50 and 150,
and etc,and 6 chromosomes will be generated randomly using the default
function if popSize=10. These suggested chromosomes can be
incorporated into the population by replacing the default population
operator or modifying the population matrix directly.
Since we are trying to estimate the changepoint configurations, it is
necessary to set the XMat to include all other covariates
except the changepoint indicators, as if we are under a changepoint free
model.
Then we call function cptga() for changepoint searching
and simultaneously estimate the best fitted model AR and MA orders. The
estimated number of changepoints and corresponding changepoint locations
could be extracted as below.
reschangepointGA <- suppressWarnings(cptga(
ObjFunc = arima_bic_order_pq,
N = N,
prange = prange,
suggestions = suggestions,
option = "both",
XMat = XMatEst,
Xt = myts
))
print(reschangepointGA)
#> An object of class "cptga"
#> Slot "call":
#> cptga(ObjFunc = arima_bic_order_pq, N = N, prange = prange, option = "both",
#> suggestions = suggestions, XMat = XMatEst, Xt = myts)
#>
#> Slot "N":
#> [1] 200
#>
#> Slot "prange":
#> $ar
#> [1] 0 2
#>
#> $ma
#> [1] 0 2
#>
#>
#> Slot "popSize":
#> [1] 200
#>
#> Slot "pcrossover":
#> [1] 0.95
#>
#> Slot "pmutation":
#> [1] 0.3
#>
#> Slot "pchangepoint":
#> [1] 0.01
#>
#> Slot "minDist":
#> [1] 1
#>
#> Slot "mmax":
#> [1] 99
#>
#> Slot "lmax":
#> [1] 101
#>
#> Slot "maxgen":
#> [1] 50000
#>
#> Slot "maxconv":
#> [1] 5000
#>
#> Slot "option":
#> [1] "both"
#>
#> Slot "monitoring":
#> [1] FALSE
#>
#> Slot "parallel":
#> [1] FALSE
#>
#> Slot "nCore":
#> NULL
#>
#> Slot "tol":
#> [1] 1e-05
#>
#> Slot "seed":
#> NULL
#>
#> Slot "suggestions":
#> [[1]]
#> NULL
#>
#> [[2]]
#> [1] 50
#>
#> [[3]]
#> [1] 50 150
#>
#> [[4]]
#> [1] 50 100 150
#>
#>
#> Slot "population":
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 2 2 2 2 2 2 2 2 2 2 2 3 2
#> [2,] 2 1 0 1 1 1 1 0 1 1 1 2 2
#> [3,] 1 1 2 1 1 1 1 2 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 148 148 148 148 148 148 122 148
#> [6,] 201 201 201 201 201 201 201 201 201 201 201 150 201
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 201 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 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 0
#> [26,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 3 3 2 3 2 2 2 2 2 3 2 2
#> [2,] 1 1 0 1 1 1 1 2 1 1 1 2
#> [3,] 1 1 2 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 122 148 148 50 148 148 148 148 148 148 148 150
#> [6,] 150 194 201 148 201 201 201 201 201 194 201 201
#> [7,] 201 201 0 201 0 0 0 0 0 201 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#> [1,] 2 2 2 2 2 2 2 3 2 2 2 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 0 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 2 1
#> [4,] 46 46 46 46 46 46 46 46 50 46 46 46
#> [5,] 148 148 148 148 148 148 148 91 150 148 148 148
#> [6,] 201 201 201 201 201 201 201 150 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 201 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] 2 2 2 2 2 2 2 2 2 2 2 2
#> [2,] 1 1 1 1 1 1 1 2 1 1 2 1
#> [3,] 1 1 1 1 2 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 148 148 148 150 148 148 148
#> [6,] 201 201 201 201 201 201 201 201 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#> [1,] 2 2 2 2 2 2 2 2 3 2 2 3
#> [2,] 1 1 1 1 0 1 1 0 1 1 1 1
#> [3,] 1 2 1 1 2 1 1 2 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 148 148 148 50 148 148 50
#> [6,] 201 201 201 201 201 201 201 201 148 201 201 148
#> [7,] 0 0 0 0 0 0 0 0 201 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#> [1,] 2 2 2 2 2 2 2 3 2 2 2 2
#> [2,] 1 2 1 1 1 1 1 1 2 2 2 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 148 148 50 148 148 148 148
#> [6,] 201 201 201 201 201 201 201 148 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 201 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
#> [1,] 2 2 2 2 2 2 2 2 2 2 2 2
#> [2,] 1 2 2 1 2 1 0 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 2 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 148 148 148 148 148 148 148
#> [6,] 201 201 201 201 201 201 201 201 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
#> [1,] 2 2 2 3 2 2 2 2 2 2 2 2
#> [2,] 2 2 1 1 2 1 2 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 150 148 148 50 148 148 148 148 148 148 148 148
#> [6,] 201 201 201 148 201 201 201 201 201 201 201 201
#> [7,] 0 0 0 201 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,98] [,99] [,100] [,101] [,102] [,103] [,104] [,105] [,106] [,107]
#> [1,] 2 2 2 2 3 2 2 2 2 2
#> [2,] 1 1 0 2 1 1 2 1 1 0
#> [3,] 1 1 2 1 1 1 1 1 1 2
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 50 148 148 148 148 148
#> [6,] 201 201 201 201 148 201 201 201 201 201
#> [7,] 0 0 0 0 201 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,108] [,109] [,110] [,111] [,112] [,113] [,114] [,115] [,116] [,117]
#> [1,] 2 2 2 2 3 2 2 2 2 2
#> [2,] 1 1 1 1 1 0 1 1 1 1
#> [3,] 1 1 1 1 1 2 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 50 148 148 148 148 148
#> [6,] 201 201 201 201 150 201 201 201 201 201
#> [7,] 0 0 0 0 201 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,118] [,119] [,120] [,121] [,122] [,123] [,124] [,125] [,126] [,127]
#> [1,] 2 2 2 2 2 3 2 2 2 3
#> [2,] 1 2 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 150 150 148 148 122 148 148 148 122
#> [6,] 201 201 201 201 201 150 201 201 201 150
#> [7,] 0 0 0 0 0 201 0 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0
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#> [94,] 0 0 0 0 0 0 0 0 0 0
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#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
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#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,128] [,129] [,130] [,131] [,132] [,133] [,134] [,135] [,136] [,137]
#> [1,] 3 2 2 2 2 2 2 2 3 2
#> [2,] 1 2 1 1 1 1 1 1 1 1
#> [3,] 2 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 50 148 148 148 148 148 148 148 50 148
#> [6,] 150 201 201 201 201 201 201 201 148 201
#> [7,] 201 0 0 0 0 0 0 0 201 0
#> [8,] 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
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#> [27,] 0 0 0 0 0 0 0 0 0 0
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#> [50,] 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0
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#> [53,] 0 0 0 0 0 0 0 0 0 0
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#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
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#> [64,] 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0
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#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,138] [,139] [,140] [,141] [,142] [,143] [,144] [,145] [,146] [,147]
#> [1,] 2 2 2 2 2 3 2 2 2 3
#> [2,] 2 1 2 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 50 148 148 148 50
#> [6,] 201 201 201 201 201 148 201 201 201 148
#> [7,] 0 0 0 0 0 201 0 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
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#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
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#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
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#> [39,] 0 0 0 0 0 0 0 0 0 0
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#> [52,] 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0
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#> [63,] 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0
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#> [66,] 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0
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#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,148] [,149] [,150] [,151] [,152] [,153] [,154] [,155] [,156] [,157]
#> [1,] 2 2 2 2 2 2 2 2 2 2
#> [2,] 1 2 1 1 1 2 2 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 148 148 148 148 148
#> [6,] 201 201 201 201 201 201 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 0 0 0
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#> [27,] 0 0 0 0 0 0 0 0 0 0
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#> [,158] [,159] [,160] [,161] [,162] [,163] [,164] [,165] [,166] [,167]
#> [1,] 2 2 2 2 2 2 2 2 2 2
#> [2,] 1 1 1 1 1 2 1 1 2 1
#> [3,] 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 148 148 148 148 148 148
#> [6,] 201 201 201 201 201 201 201 201 201 201
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#> [78,] 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,168] [,169] [,170] [,171] [,172] [,173] [,174] [,175] [,176] [,177]
#> [1,] 2 2 2 2 2 2 2 2 2 2
#> [2,] 2 1 1 1 1 1 1 2 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 148 150 148 148 148 148 148
#> [6,] 201 201 201 201 201 201 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,178] [,179] [,180] [,181] [,182] [,183] [,184] [,185] [,186] [,187]
#> [1,] 2 2 2 2 2 3 2 2 2 4
#> [2,] 0 2 1 1 1 0 2 2 1 1
#> [3,] 2 1 1 1 1 2 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 32
#> [5,] 148 148 148 148 148 122 148 148 148 46
#> [6,] 201 201 201 201 201 150 201 201 201 106
#> [7,] 0 0 0 0 0 201 0 0 0 150
#> [8,] 0 0 0 0 0 0 0 0 0 201
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,188] [,189] [,190] [,191] [,192] [,193] [,194] [,195] [,196] [,197]
#> [1,] 2 2 2 3 2 2 2 3 5 2
#> [2,] 1 1 1 1 1 2 2 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46
#> [5,] 148 148 148 122 148 150 150 122 91 148
#> [6,] 201 201 201 148 201 201 201 148 106 201
#> [7,] 0 0 0 201 0 0 0 201 145 0
#> [8,] 0 0 0 0 0 0 0 0 150 0
#> [9,] 0 0 0 0 0 0 0 0 201 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
#> [,198] [,199] [,200]
#> [1,] 2 2 2
#> [2,] 1 1 1
#> [3,] 1 1 1
#> [4,] 46 46 46
#> [5,] 148 148 148
#> [6,] 201 201 201
#> [7,] 0 0 0
#> [8,] 0 0 0
#> [9,] 0 0 0
#> [10,] 0 0 0
#> [11,] 0 0 0
#> [12,] 0 0 0
#> [13,] 0 0 0
#> [14,] 0 0 0
#> [15,] 0 0 0
#> [16,] 0 0 0
#> [17,] 0 0 0
#> [18,] 0 0 0
#> [19,] 0 0 0
#> [20,] 0 0 0
#> [21,] 0 0 0
#> [22,] 0 0 0
#> [23,] 0 0 0
#> [24,] 0 0 0
#> [25,] 0 0 0
#> [26,] 0 0 0
#> [27,] 0 0 0
#> [28,] 0 0 0
#> [29,] 0 0 0
#> [30,] 0 0 0
#> [31,] 0 0 0
#> [32,] 0 0 0
#> [33,] 0 0 0
#> [34,] 0 0 0
#> [35,] 0 0 0
#> [36,] 0 0 0
#> [37,] 0 0 0
#> [38,] 0 0 0
#> [39,] 0 0 0
#> [40,] 0 0 0
#> [41,] 0 0 0
#> [42,] 0 0 0
#> [43,] 0 0 0
#> [44,] 0 0 0
#> [45,] 0 0 0
#> [46,] 0 0 0
#> [47,] 0 0 0
#> [48,] 0 0 0
#> [49,] 0 0 0
#> [50,] 0 0 0
#> [51,] 0 0 0
#> [52,] 0 0 0
#> [53,] 0 0 0
#> [54,] 0 0 0
#> [55,] 0 0 0
#> [56,] 0 0 0
#> [57,] 0 0 0
#> [58,] 0 0 0
#> [59,] 0 0 0
#> [60,] 0 0 0
#> [61,] 0 0 0
#> [62,] 0 0 0
#> [63,] 0 0 0
#> [64,] 0 0 0
#> [65,] 0 0 0
#> [66,] 0 0 0
#> [67,] 0 0 0
#> [68,] 0 0 0
#> [69,] 0 0 0
#> [70,] 0 0 0
#> [71,] 0 0 0
#> [72,] 0 0 0
#> [73,] 0 0 0
#> [74,] 0 0 0
#> [75,] 0 0 0
#> [76,] 0 0 0
#> [77,] 0 0 0
#> [78,] 0 0 0
#> [79,] 0 0 0
#> [80,] 0 0 0
#> [81,] 0 0 0
#> [82,] 0 0 0
#> [83,] 0 0 0
#> [84,] 0 0 0
#> [85,] 0 0 0
#> [86,] 0 0 0
#> [87,] 0 0 0
#> [88,] 0 0 0
#> [89,] 0 0 0
#> [90,] 0 0 0
#> [91,] 0 0 0
#> [92,] 0 0 0
#> [93,] 0 0 0
#> [94,] 0 0 0
#> [95,] 0 0 0
#> [96,] 0 0 0
#> [97,] 0 0 0
#> [98,] 0 0 0
#> [99,] 0 0 0
#> [100,] 0 0 0
#> [101,] 0 0 0
#>
#> Slot "fitness":
#> [1] 604.2561 600.4167 605.2290 600.4167 600.4167 600.4167 600.4167 605.2290
#> [9] 600.4167 600.4167 600.4167 594.5372 604.2561 592.3092 604.6219 605.2290
#> [17] 604.5287 600.4167 600.4167 600.4167 604.2561 600.4167 604.6219 600.4167
#> [25] 589.4777 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [33] 592.1172 600.3133 600.4167 605.2290 600.4167 600.4167 600.4167 600.4167
#> [41] 600.4167 604.7492 600.4167 600.4167 604.2561 587.0658 600.4167 604.2561
#> [49] 600.4167 600.4167 604.7492 600.4167 600.4167 605.2290 600.4167 600.4167
#> [57] 605.2290 604.5287 600.4167 600.4167 604.5287 600.4167 604.2561 600.4167
#> [65] 600.4167 600.4167 600.4167 600.4167 604.5287 604.2561 604.2561 604.2561
#> [73] 600.4167 600.4167 604.2561 604.2561 600.4167 604.2561 600.4167 605.2290
#> [81] 600.4167 600.4167 600.4167 600.4167 600.4167 589.4777 604.2561 600.4167
#> [89] 604.5287 604.2561 600.4167 604.2561 600.4167 600.4167 600.4167 600.4167
#> [97] 600.4167 600.4167 600.4167 605.2290 604.2561 604.5287 600.4167 604.2561
#> [105] 600.4167 600.4167 605.2290 600.4167 600.4167 600.4167 600.4167 591.0736
#> [113] 605.2290 600.4167 600.4167 600.4167 600.4167 600.4167 589.4777 587.0658
#> [121] 600.4167 600.4167 592.3092 600.4167 600.4167 600.4167 592.3092 594.2950
#> [129] 604.2561 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 604.5287
#> [137] 600.4167 604.2561 600.4167 604.2561 600.4167 600.4167 604.5287 600.4167
#> [145] 600.4167 600.4167 604.5287 600.4167 604.2561 600.4167 600.4167 600.4167
#> [153] 604.2561 604.2561 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [161] 600.4167 600.4167 604.2561 600.4167 600.4167 604.2561 600.4167 604.2561
#> [169] 600.4167 600.4167 600.4167 587.0658 600.4167 600.4167 604.2561 600.4167
#> [177] 600.4167 605.2290 604.2561 600.4167 600.4167 600.4167 599.0231 604.2561
#> [185] 604.2561 600.4167 597.4154 600.4167 600.4167 600.4167 605.5107 600.4167
#> [193] 589.4777 589.4777 605.5107 602.3293 600.4167 600.4167 600.4167 600.4167
#>
#> Slot "overbestchrom":
#> [1] 2 1 1 46 150 201
#>
#> Slot "overbestfit":
#> [1] 587.0658
#>
#> Slot "bestfit":
#> [1] 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249
#> [9] 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249
#> [17] 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249
#> [25] 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249
#> [33] 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249
#> [41] 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249
#> [49] 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249 610.4249
#> [57] 610.4249 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [65] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [73] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [81] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [89] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [97] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [105] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [113] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [121] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [129] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [137] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [145] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [153] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [161] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [169] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [177] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [185] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [193] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [201] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [209] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [217] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [225] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [233] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [241] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [249] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [257] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [265] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [273] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [281] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [289] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [297] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [305] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [313] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [321] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [329] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [337] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [345] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [353] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [361] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [369] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [377] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [385] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [393] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [401] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [409] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [417] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [425] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [433] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [441] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [449] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [457] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [465] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [473] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [481] 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107 605.5107
#> [489] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [497] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [505] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [513] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [521] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [529] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [537] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [545] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [553] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [561] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [569] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [577] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [585] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [593] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [601] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [609] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [617] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [625] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [633] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [641] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [649] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [657] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [665] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [673] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [681] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [689] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [697] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [705] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [713] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [721] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [729] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [737] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [745] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [753] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [761] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [769] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [777] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [785] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [793] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [801] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [809] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [817] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [825] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [833] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [841] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [849] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [857] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [865] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [873] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [881] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [889] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [897] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [905] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [913] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [921] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [929] 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293 602.3293
#> [937] 602.3293 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [945] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [953] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [961] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [969] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [977] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [985] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [993] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1001] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1009] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1017] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1025] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1033] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1041] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1049] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1057] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1065] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1073] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1081] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1089] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1097] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1105] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1113] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1121] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1129] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1137] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1145] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1153] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1161] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1169] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1177] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1185] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1193] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1201] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1209] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1217] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1225] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1233] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1241] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1249] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1257] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1265] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1273] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1281] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1289] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1297] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1305] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1313] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1321] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1329] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1337] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1345] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1353] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1361] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167
#> [1369] 600.4167 600.4167 600.4167 600.4167 600.4167 600.4167 589.4777 589.4777
#> [1377] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1385] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1393] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1401] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1409] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1417] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1425] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1433] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1441] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1449] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1457] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1465] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1473] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1481] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1489] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1497] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1505] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1513] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1521] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1529] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1537] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1545] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1553] 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777 589.4777
#> [1561] 589.4777 589.4777 589.4777 589.4777 589.4777 587.0658 587.0658 587.0658
#> [1569] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1577] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1585] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1593] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1601] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
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#> [1929] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1937] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1945] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1953] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1961] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1969] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1977] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1985] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [1993] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [2001] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [2009] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [2017] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
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#> [6449] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6457] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6465] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6473] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6481] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6489] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6497] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6505] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6513] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6521] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6529] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6537] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6545] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6553] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [6561] 587.0658 587.0658 587.0658 587.0658 587.0658
#>
#> Slot "count":
#> [1] 6565
#>
#> Slot "convg":
#> [1] 0
summary(reschangepointGA)
#> ###############################################
#> # Changepoint Detection via GA #
#> ###############################################
#> Settings:
#> Population size = 200
#> Number of generations = 6565
#> Crossover probability = 0.95
#> Mutation probability = 0.3
#> Changepoint probability = 0.01
#> Task mode = both
#> Parallel Usage = FALSE
#> Suggestions:
#> [1]:
#> [2]:50
#> [3]:50 150
#> [4]:50 100 150
#>
#> ##### GA results #####
#> Optimal Fitness value = 587.0658
#> Optimal Solution:
#> Number of Changepoints = 2
#> Model hyperparameters:
#> ar = 1
#> ma = 1
#> Changepoints Locations = 46 150The island model GA can be implemented using the
cptgaisl() function, which supports similar core arguments
as the basic GA function cptga(), but introduces additional
flexibility and parallelism via multiple isolated sub-populations
(islands).
Key differences include:
cptgaisl() is expected to be
a list object, where each element is a matrix and corresponds to the
population for one island.numIslands).suggestions list as
above. These will serve as seed chromosomes for each island’s initial
population.If model order selection is enabled (e.g., for AR, MA, or ARIMA
models), the associated model orders will be randomly sampled based on
the user-supplied prange argument.
tim1 <- Sys.time()
resIslandchangepointGA <- suppressWarnings(cptgaisl(
ObjFunc = arima_bic_order_pq,
N = N,
prange = prange,
popSize = 160,
numIslands = 2,
maxMig = 1000,
maxgen = 50,
maxconv = 20,
option = "both",
XMat = XMatEst,
Xt = myts
))
tim2 <- Sys.time()
tim2 - tim1
#> Time difference of 10.38383 secs
print(resIslandchangepointGA)
#> An object of class "cptgaisl"
#> Slot "call":
#> cptgaisl(ObjFunc = arima_bic_order_pq, N = N, prange = prange,
#> popSize = 160, numIslands = 2, maxMig = 1000, maxgen = 50,
#> maxconv = 20, option = "both", XMat = XMatEst, Xt = myts)
#>
#> Slot "N":
#> [1] 200
#>
#> Slot "prange":
#> $ar
#> [1] 0 2
#>
#> $ma
#> [1] 0 2
#>
#>
#> Slot "popSize":
#> [1] 160
#>
#> Slot "numIslands":
#> [1] 2
#>
#> Slot "Islandsize":
#> [1] 80
#>
#> Slot "pcrossover":
#> [1] 0.95
#>
#> Slot "pmutation":
#> [1] 0.3
#>
#> Slot "pchangepoint":
#> [1] 0.01
#>
#> Slot "minDist":
#> [1] 1
#>
#> Slot "mmax":
#> [1] 99
#>
#> Slot "lmax":
#> [1] 101
#>
#> Slot "maxMig":
#> [1] 1000
#>
#> Slot "maxgen":
#> [1] 50
#>
#> Slot "maxconv":
#> [1] 20
#>
#> Slot "option":
#> [1] "both"
#>
#> Slot "monitoring":
#> [1] FALSE
#>
#> Slot "parallel":
#> [1] FALSE
#>
#> Slot "nCore":
#> NULL
#>
#> Slot "tol":
#> [1] 1e-05
#>
#> Slot "seed":
#> NULL
#>
#> Slot "suggestions":
#> NULL
#>
#> Slot "Island":
#> , , 1
#>
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 2 2 2 2 2 2 2 2 2 2 2 2 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 52 46 46 46 46 52 46 46 46 52 46 46
#> [5,] 150 150 150 150 150 150 150 150 150 150 150 150 150
#> [6,] 201 201 201 201 201 201 201 201 201 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [24,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 2 2 2 2 2 2 2 2 2 3 1 1
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 52 52 150 150
#> [5,] 150 150 150 150 150 150 150 150 150 67 201 201
#> [6,] 201 201 201 201 201 201 201 201 201 150 0 0
#> [7,] 0 0 0 0 0 0 0 0 0 201 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#> [1,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 150 150 150 150 150 150 150 150 150 150 150 150
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#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] 1 2 2 5 1 1 1 1 1 1 1 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 2 1 1 1 1 1 1 1 2
#> [4,] 150 52 52 26 150 150 150 150 150 150 150 52
#> [5,] 201 150 150 44 201 201 201 201 201 201 201 150
#> [6,] 0 201 201 52 0 0 0 0 0 0 0 201
#> [7,] 0 0 0 67 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 150 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 201 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#> [1,] 1 1 1 1 1 1 1 3 2 2 1 1
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 150 150 150 150 150 150 150 45 52 52 150 150
#> [5,] 201 201 201 201 201 201 201 52 150 150 201 201
#> [6,] 0 0 0 0 0 0 0 150 201 201 0 0
#> [7,] 0 0 0 0 0 0 0 201 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [26,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#> [1,] 1 2 1 1 2 2 1 1 1 1 1 1
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 150 52 150 150 52 52 150 150 150 150 150 150
#> [5,] 201 150 201 201 150 150 201 201 201 201 201 201
#> [6,] 0 201 0 0 201 201 0 0 0 0 0 0
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,74] [,75] [,76] [,77] [,78] [,79] [,80]
#> [1,] 1 1 1 1 1 1 2
#> [2,] 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1
#> [4,] 150 150 150 150 150 150 52
#> [5,] 201 201 201 201 201 201 150
#> [6,] 0 0 0 0 0 0 201
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#> [14,] 0 0 0 0 0 0 0
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#> [16,] 0 0 0 0 0 0 0
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#> [27,] 0 0 0 0 0 0 0
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#> [35,] 0 0 0 0 0 0 0
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#> [44,] 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0
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#> [53,] 0 0 0 0 0 0 0
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#> [64,] 0 0 0 0 0 0 0
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#> [69,] 0 0 0 0 0 0 0
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#> [84,] 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0
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#> [91,] 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0
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#> [98,] 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0
#>
#> , , 2
#>
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 2 2 2 2 2 2 2 2 2 2 4 3 2
#> [2,] 1 1 1 2 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 2 1 1 1 1 1 1 1 1 1
#> [4,] 46 46 46 46 46 52 52 46 52 46 48 48 46
#> [5,] 150 150 150 150 150 150 150 150 150 150 51 51 150
#> [6,] 201 201 201 201 201 201 201 201 201 201 148 150 201
#> [7,] 0 0 0 0 0 0 0 0 0 0 174 201 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 201 0 0
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#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 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 0
#> [26,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 4 2 3 2 2 2 3 2 2 2 3 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 48 46 48 46 52 46 46 48 48 46 46 46
#> [5,] 51 148 150 150 150 150 52 148 150 150 51 150
#> [6,] 148 201 194 201 201 201 148 201 201 201 150 201
#> [7,] 174 0 201 0 0 0 201 0 0 0 201 0
#> [8,] 201 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#> [1,] 2 2 2 2 2 2 2 2 2 2 2 3
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 0
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 2
#> [4,] 48 52 52 46 52 46 46 46 46 52 48 46
#> [5,] 150 150 150 150 150 150 150 150 150 150 148 51
#> [6,] 201 201 201 201 201 201 201 201 201 201 201 148
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] 2 2 2 2 2 2 2 2 3 2 2 3
#> [2,] 1 1 1 1 1 1 0 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 2 1 1 1 1 1
#> [4,] 46 52 46 46 52 46 46 46 46 46 48 46
#> [5,] 150 150 150 150 150 148 148 150 51 148 150 52
#> [6,] 201 201 201 201 201 201 201 201 148 201 201 148
#> [7,] 0 0 0 0 0 0 0 0 201 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#> [1,] 2 2 2 2 2 2 2 2 2 2 2 2
#> [2,] 0 1 1 1 1 1 1 1 1 2 1 1
#> [3,] 2 1 1 1 1 1 1 1 1 2 1 1
#> [4,] 46 46 46 52 46 48 46 46 52 46 46 46
#> [5,] 150 150 150 150 150 150 148 148 150 148 150 150
#> [6,] 201 201 201 201 201 201 201 201 201 201 201 201
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#> [1,] 2 2 2 2 2 2 4 3 2 2 2 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 46 52 48 46 48 46 48 46 46 46 46 46
#> [5,] 148 150 150 148 148 148 51 52 150 148 148 150
#> [6,] 201 201 201 201 201 201 148 150 201 201 201 201
#> [7,] 0 0 0 0 0 0 174 201 0 0 0 0
#> [8,] 0 0 0 0 0 0 201 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,74] [,75] [,76] [,77] [,78] [,79] [,80]
#> [1,] 2 2 2 2 2 3 2
#> [2,] 1 1 1 1 1 1 0
#> [3,] 1 1 1 1 1 1 2
#> [4,] 52 46 46 46 46 46 46
#> [5,] 150 148 150 150 150 51 148
#> [6,] 201 201 201 201 201 148 201
#> [7,] 0 0 0 0 0 201 0
#> [8,] 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0
#>
#>
#> Slot "IslandFit":
#> [,1] [,2]
#> [1,] 587.0658 587.0658
#> [2,] 608.1221 587.0658
#> [3,] 587.0658 587.0658
#> [4,] 587.0658 593.6582
#> [5,] 587.0658 587.0658
#> [6,] 587.0658 608.1221
#> [7,] 608.1221 608.1221
#> [8,] 587.0658 587.0658
#> [9,] 587.0658 608.1221
#> [10,] 587.0658 587.0658
#> [11,] 608.1221 608.1341
#> [12,] 587.0658 589.9219
#> [13,] 587.0658 587.0658
#> [14,] 587.0658 608.1341
#> [15,] 587.0658 600.4167
#> [16,] 587.0658 595.9831
#> [17,] 587.0658 587.0658
#> [18,] 587.0658 608.1221
#> [19,] 587.0658 587.0658
#> [20,] 587.0658 605.2330
#> [21,] 587.0658 605.1502
#> [22,] 608.1221 592.0512
#> [23,] 612.8021 587.0658
#> [24,] 614.7321 587.1940
#> [25,] 614.7321 587.0658
#> [26,] 614.7321 592.0512
#> [27,] 614.7321 608.1221
#> [28,] 614.7321 608.1221
#> [29,] 614.7321 587.0658
#> [30,] 614.7321 608.1221
#> [31,] 614.7321 587.0658
#> [32,] 614.7321 587.0658
#> [33,] 614.7321 587.0658
#> [34,] 614.7321 587.0658
#> [35,] 614.7321 608.1221
#> [36,] 614.7321 605.1502
#> [37,] 614.7321 605.9848
#> [38,] 614.7321 587.0658
#> [39,] 608.1221 608.1221
#> [40,] 608.1221 587.0658
#> [41,] 614.7245 587.0658
#> [42,] 614.7321 608.1221
#> [43,] 614.7321 600.4167
#> [44,] 614.7321 605.2290
#> [45,] 614.7321 587.0658
#> [46,] 614.7321 600.9366
#> [47,] 614.7321 600.4167
#> [48,] 614.7321 592.0512
#> [49,] 613.3675 605.2330
#> [50,] 614.7321 594.0180
#> [51,] 614.7321 587.0658
#> [52,] 614.7321 587.0658
#> [53,] 614.7321 608.1221
#> [54,] 614.7321 587.0658
#> [55,] 614.7321 592.0512
#> [56,] 614.7321 600.4167
#> [57,] 611.6878 600.4167
#> [58,] 608.1221 608.1221
#> [59,] 608.1221 608.3213
#> [60,] 614.7321 587.0658
#> [61,] 614.7321 587.0658
#> [62,] 614.7321 600.4167
#> [63,] 608.1221 608.1221
#> [64,] 614.7321 592.0512
#> [65,] 614.7321 600.4167
#> [66,] 608.1221 605.1502
#> [67,] 608.1221 600.4167
#> [68,] 614.7321 608.1341
#> [69,] 614.7321 591.8135
#> [70,] 614.7321 587.0658
#> [71,] 614.7321 600.4167
#> [72,] 614.7321 600.4167
#> [73,] 614.7321 587.0658
#> [74,] 614.7321 608.1221
#> [75,] 614.7321 600.4167
#> [76,] 614.7321 587.0658
#> [77,] 614.7321 587.0658
#> [78,] 614.7321 587.0658
#> [79,] 614.7321 600.9366
#> [80,] 608.1221 605.2290
#>
#> Slot "overbestchrom":
#> [1] 2 1 1 46 150 201
#>
#> Slot "overbestfit":
#> [1] 587.0658
#>
#> Slot "bestfit":
#> [1] 620.0298 614.7245 608.1221 608.1221 608.1221 608.1221 608.1221 608.1221
#> [9] 608.1221 608.1221 608.1221 587.0658 587.0658 587.0658 587.0658 587.0658
#> [17] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#> [25] 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658 587.0658
#>
#> Slot "countMig":
#> [1] 31
#>
#> Slot "count":
#> [1] 1550
#>
#> Slot "convg":
#> [1] 0
summary(resIslandchangepointGA)
#> ###############################################
#> # Changepoint Detection via Island Model GA #
#> ###############################################
#> Settings:
#> Population size = 160
#> Number of Island = 2
#> Island size = 80
#> Number of generations = 1550
#> Number of migrations = 31
#> Crossover probability = 0.95
#> Mutation probability = 0.3
#> Changepoint probability = 0.01
#> Task mode = both
#> Parallel Usage = FALSE
#>
#> ##### Island GA results #####
#> Optimal Fitness value = 587.0658
#> Optimal Solution:
#> Number of Changepoints = 2
#> Model hyperparameters:
#> ar = 1
#> ma = 1
#> Changepoints Locations = 46 150
plot(resIslandchangepointGA, data = myts)The default behavior of both cptga() and
cptgaisl() is to evaluate each candidate changepoint
configuration sequentially, which can be computationally expensive,
especially during the initial population fitness evaluation. To address
this, users may enable parallel computing to significantly speed up the
evaluation process.
Parallel execution requires the R packages foreach and
doParallel. This approach is particularly beneficial when
the population size and the number of islands are large, as more
evaluations can be distributed across available CPU cores.
To enable parallel computing, simply set the argument
parallel = TRUE and specify the number of cores via
nCore. It is generally recommended to set
nCore equal to the number of islands (when using
cptgaisl()), or to the number of physical cores available
for cptga(). The following example will distribute the
fitness evaluations across two parallel threads, potentially reducing
the runtime substantially for large or complex problems.
tim3 <- Sys.time()
resIslandchangepointGA <- suppressWarnings(cptgaisl(
ObjFunc = arima_bic_order_pq,
N = N,
prange = prange,
popSize = 160,
numIslands = 2,
maxMig = 1000,
maxgen = 50,
maxconv = 20,
option = "both",
parallel = TRUE,
nCore = 2,
XMat = XMatEst,
Xt = myts
))
tim4 <- Sys.time()
tim4 - tim3
#> Time difference of 6.136231 secs
print(resIslandchangepointGA)
#> An object of class "cptgaisl"
#> Slot "call":
#> cptgaisl(ObjFunc = arima_bic_order_pq, N = N, prange = prange,
#> popSize = 160, numIslands = 2, maxMig = 1000, maxgen = 50,
#> maxconv = 20, option = "both", parallel = TRUE, nCore = 2,
#> XMat = XMatEst, Xt = myts)
#>
#> Slot "N":
#> [1] 200
#>
#> Slot "prange":
#> $ar
#> [1] 0 2
#>
#> $ma
#> [1] 0 2
#>
#>
#> Slot "popSize":
#> [1] 160
#>
#> Slot "numIslands":
#> [1] 2
#>
#> Slot "Islandsize":
#> [1] 80
#>
#> Slot "pcrossover":
#> [1] 0.95
#>
#> Slot "pmutation":
#> [1] 0.3
#>
#> Slot "pchangepoint":
#> [1] 0.01
#>
#> Slot "minDist":
#> [1] 1
#>
#> Slot "mmax":
#> [1] 99
#>
#> Slot "lmax":
#> [1] 101
#>
#> Slot "maxMig":
#> [1] 1000
#>
#> Slot "maxgen":
#> [1] 50
#>
#> Slot "maxconv":
#> [1] 20
#>
#> Slot "option":
#> [1] "both"
#>
#> Slot "monitoring":
#> [1] FALSE
#>
#> Slot "parallel":
#> [1] TRUE
#>
#> Slot "nCore":
#> [1] 2
#>
#> Slot "tol":
#> [1] 1e-05
#>
#> Slot "seed":
#> NULL
#>
#> Slot "suggestions":
#> NULL
#>
#> Slot "Island":
#> , , 1
#>
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 3 2 2 2 2 3 2 2 3 2 3 2 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 2 1 1 1 1 2 1 1 2 1 2 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 97 146 146 146 146 97 146 146 97 146 97 146 146
#> [6,] 150 201 201 201 201 150 201 201 150 201 150 201 201
#> [7,] 201 0 0 0 0 201 0 0 201 0 201 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 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 0
#> [26,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 2 2 3 2 3 2 2 3 2 2 2 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 2 1 2 1 1 2 1 1 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 146 146 97 146 97 146 146 97 146 146 146 146
#> [6,] 201 201 150 201 150 201 201 150 201 201 201 201
#> [7,] 0 0 201 0 201 0 0 201 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#> [1,] 3 2 3 2 2 2 2 2 2 3 2 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 2 1 2 1 1 1 1 1 1 2 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 97 146 97 146 146 146 146 146 146 97 146 146
#> [6,] 150 201 150 201 201 201 201 201 201 150 201 201
#> [7,] 201 0 201 0 0 0 0 0 0 201 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] 3 3 2 3 2 2 2 2 2 3 2 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 2 2 1 2 1 1 1 1 1 2 1 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 97 97 146 97 146 146 146 146 146 97 146 146
#> [6,] 150 150 201 150 201 201 201 201 201 150 201 201
#> [7,] 201 201 0 201 0 0 0 0 0 201 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#> [1,] 2 2 3 2 3 2 3 3 2 2 2 3
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 2 1 2 1 2 2 1 1 1 2
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 146 146 97 146 97 146 97 97 146 146 146 97
#> [6,] 201 201 150 201 150 201 150 150 201 201 201 150
#> [7,] 0 0 201 0 201 0 201 201 0 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#> [1,] 1 1 1 1 1 1 1 1 2 1 1 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 150 150 150 150 150 150 150 150 46 150 150 46
#> [5,] 201 201 201 201 201 201 201 201 146 201 201 146
#> [6,] 0 0 0 0 0 0 0 0 201 0 0 201
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
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#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,74] [,75] [,76] [,77] [,78] [,79] [,80]
#> [1,] 1 1 3 3 1 1 1
#> [2,] 1 1 1 1 1 1 1
#> [3,] 1 1 2 2 1 1 1
#> [4,] 150 150 46 46 150 150 150
#> [5,] 201 201 97 97 201 201 201
#> [6,] 0 0 150 150 0 0 0
#> [7,] 0 0 201 201 0 0 0
#> [8,] 0 0 0 0 0 0 0
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#> [11,] 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0
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#> [72,] 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0
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#> [76,] 0 0 0 0 0 0 0
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#> [81,] 0 0 0 0 0 0 0
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#> [83,] 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0
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#> [97,] 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0
#>
#> , , 2
#>
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 3 3 2 2 2 3 3 3 2 2 2 3 2
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 2 2 1 1 1 2 2 2 1 1 1 2 1
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 97 97 146 146 146 97 97 97 146 146 146 97 146
#> [6,] 150 150 201 201 201 150 150 150 201 201 201 150 201
#> [7,] 201 201 0 0 0 201 201 201 0 0 0 201 0
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#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0 0
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#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 2 3 2 3 2 2 2 2 2 2 2 3
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 2 1 2 1 1 1 1 1 1 1 2
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 146 97 146 97 146 146 146 146 146 146 146 97
#> [6,] 201 150 201 150 201 201 201 201 201 201 201 150
#> [7,] 0 201 0 201 0 0 0 0 0 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#> [1,] 2 2 2 2 2 3 2 2 3 2 2 3
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 2 1 1 2 1 1 2
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 146 146 146 146 146 97 146 146 97 146 146 97
#> [6,] 201 201 201 201 201 150 201 201 150 201 201 150
#> [7,] 0 0 0 0 0 201 0 0 201 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] 2 2 3 2 3 2 2 3 2 2 2 3
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 2 1 2 1 1 2 1 1 1 2
#> [4,] 46 46 46 46 46 46 46 46 46 46 46 46
#> [5,] 146 146 97 146 97 146 146 97 146 146 146 97
#> [6,] 201 201 150 201 150 201 201 150 201 201 201 150
#> [7,] 0 0 201 0 201 0 0 201 0 0 0 201
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#> [1,] 2 3 2 3 1 1 1 1 3 1 1 1
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 2 1 2 1 1 1 1 2 1 1 1
#> [4,] 46 46 46 46 150 150 150 150 46 150 150 150
#> [5,] 146 97 146 97 201 201 201 201 97 201 201 201
#> [6,] 201 150 201 150 0 0 0 0 150 0 0 0
#> [7,] 0 201 0 201 0 0 0 0 201 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#> [1,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [2,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 1 1 1 1 1 1 1 1
#> [4,] 150 150 150 150 150 150 150 150 150 150 150 150
#> [5,] 201 201 201 201 201 201 201 201 201 201 201 201
#> [6,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [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,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [,74] [,75] [,76] [,77] [,78] [,79] [,80]
#> [1,] 1 1 2 1 3 1 1
#> [2,] 1 1 1 1 1 1 1
#> [3,] 1 1 1 1 2 1 1
#> [4,] 150 150 46 150 46 150 150
#> [5,] 201 201 146 201 97 201 201
#> [6,] 0 0 201 0 150 0 0
#> [7,] 0 0 0 0 201 0 0
#> [8,] 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0
#> [23,] 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0
#> [32,] 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0
#> [70,] 0 0 0 0 0 0 0
#> [71,] 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0
#> [76,] 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0
#>
#>
#> Slot "IslandFit":
#> result.1 result.2
#> [1,] 595.2647 595.2647
#> [2,] 613.1252 595.2647
#> [3,] 613.1252 613.1252
#> [4,] 613.1252 613.1252
#> [5,] 613.1252 613.1252
#> [6,] 595.2647 595.2647
#> [7,] 613.1252 595.2647
#> [8,] 613.1252 595.2647
#> [9,] 595.2647 613.1252
#> [10,] 613.1252 613.1252
#> [11,] 595.2647 613.1252
#> [12,] 613.1252 595.2647
#> [13,] 613.1252 613.1252
#> [14,] 613.1252 613.1252
#> [15,] 613.1252 595.2647
#> [16,] 595.2647 613.1252
#> [17,] 613.1252 595.2647
#> [18,] 595.2647 613.1252
#> [19,] 613.1252 613.1252
#> [20,] 613.1252 613.1252
#> [21,] 595.2647 613.1252
#> [22,] 613.1252 613.1252
#> [23,] 613.1252 613.1252
#> [24,] 613.1252 613.1252
#> [25,] 613.1252 595.2647
#> [26,] 595.2647 613.1252
#> [27,] 613.1252 613.1252
#> [28,] 595.2647 613.1252
#> [29,] 613.1252 613.1252
#> [30,] 613.1252 613.1252
#> [31,] 613.1252 595.2647
#> [32,] 613.1252 613.1252
#> [33,] 613.1252 613.1252
#> [34,] 613.1252 595.2647
#> [35,] 595.2647 613.1252
#> [36,] 613.1252 613.1252
#> [37,] 613.1252 595.2647
#> [38,] 595.2647 613.1252
#> [39,] 595.2647 613.1252
#> [40,] 613.1252 595.2647
#> [41,] 595.2647 613.1252
#> [42,] 613.1252 595.2647
#> [43,] 613.1252 613.1252
#> [44,] 613.1252 613.1252
#> [45,] 613.1252 595.2647
#> [46,] 613.1252 613.1252
#> [47,] 595.2647 613.1252
#> [48,] 613.1252 613.1252
#> [49,] 613.1252 595.2647
#> [50,] 613.1252 613.1252
#> [51,] 613.1252 595.2647
#> [52,] 595.2647 613.1252
#> [53,] 613.1252 595.2647
#> [54,] 595.2647 614.7321
#> [55,] 613.1252 614.7321
#> [56,] 595.2647 614.7321
#> [57,] 595.2647 614.7321
#> [58,] 613.1252 595.2647
#> [59,] 613.1252 614.7321
#> [60,] 613.1252 614.7321
#> [61,] 595.2647 614.7321
#> [62,] 614.7321 614.7321
#> [63,] 614.7321 614.7321
#> [64,] 614.7321 614.7321
#> [65,] 614.7321 614.7321
#> [66,] 614.7321 614.7321
#> [67,] 614.7321 614.7321
#> [68,] 614.7321 614.7321
#> [69,] 614.7321 614.7321
#> [70,] 613.1252 614.7321
#> [71,] 614.7321 614.7321
#> [72,] 614.7321 614.7321
#> [73,] 613.1252 614.7321
#> [74,] 614.7321 614.7321
#> [75,] 614.7321 614.7321
#> [76,] 595.2647 613.1252
#> [77,] 595.2647 614.7321
#> [78,] 614.7321 595.2647
#> [79,] 614.7321 614.7321
#> [80,] 614.7321 614.7321
#>
#> Slot "overbestchrom":
#> [1] 3 1 2 46 97 150 201
#>
#> Slot "overbestfit":
#> [1] 595.2647
#>
#> Slot "bestfit":
#> [1] 614.7321 614.7321 614.7321 614.7321 614.7321 613.1252 613.1252 595.2647
#> [9] 595.2647 595.2647 595.2647 595.2647 595.2647 595.2647 595.2647 595.2647
#> [17] 595.2647 595.2647 595.2647 595.2647 595.2647 595.2647 595.2647 595.2647
#> [25] 595.2647 595.2647 595.2647
#>
#> Slot "countMig":
#> [1] 27
#>
#> Slot "count":
#> [1] 1350
#>
#> Slot "convg":
#> [1] 0
summary(resIslandchangepointGA)
#> ###############################################
#> # Changepoint Detection via Island Model GA #
#> ###############################################
#> Settings:
#> Population size = 160
#> Number of Island = 2
#> Island size = 80
#> Number of generations = 1350
#> Number of migrations = 27
#> Crossover probability = 0.95
#> Mutation probability = 0.3
#> Changepoint probability = 0.01
#> Task mode = both
#> Parallel Usage = TRUE
#> Number of thread = 2
#>
#> ##### Island GA results #####
#> Optimal Fitness value = 595.2647
#> Optimal Solution:
#> Number of Changepoints = 3
#> Model hyperparameters:
#> ar = 1
#> ma = 2
#> Changepoints Locations = 46 97 150
plot(resIslandchangepointGA, data = myts)It is important to measure how different the estimated changepoint
configuration away from the true configuration used in data generation.
The pairwise distance metric proposed by Shi et al. (2022) can help
quantify such differences. We implemented and included the method via
the cpDist() function in this package.
Shi, X., Gallagher, C., Lund, R., & Killick, R. (2022). A comparison of single and multiple changepoint techniques for time series data. Computational Statistics & Data Analysis, 170, 107433.
sessionInfo()
#> R version 4.5.0 (2025-04-11)
#> Platform: aarch64-apple-darwin20
#> Running under: macOS 26.3.1
#>
#> Matrix products: default
#> BLAS: /Library/Frameworks/R.framework/Versions/4.5-arm64/Resources/lib/libRblas.0.dylib
#> LAPACK: /Library/Frameworks/R.framework/Versions/4.5-arm64/Resources/lib/libRlapack.dylib; LAPACK version 3.12.1
#>
#> locale:
#> [1] C/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
#>
#> time zone: America/Chicago
#> tzcode source: internal
#>
#> attached base packages:
#> [1] stats graphics grDevices utils datasets methods base
#>
#> other attached packages:
#> [1] changepointGA_0.1.4
#>
#> loaded via a namespace (and not attached):
#> [1] doParallel_1.0.17 cli_3.6.5 knitr_1.51 rlang_1.1.7
#> [5] xfun_0.56 otel_0.2.0 jsonlite_2.0.0 clue_0.3-67
#> [9] htmltools_0.5.9 sass_0.4.10 rmarkdown_2.30 evaluate_1.0.5
#> [13] jquerylib_0.1.4 fastmap_1.2.0 yaml_2.3.12 foreach_1.5.2
#> [17] lifecycle_1.0.5 cluster_2.1.8.1 compiler_4.5.0 codetools_0.2-20
#> [21] Rcpp_1.1.1 rstudioapi_0.17.1 digest_0.6.39 R6_2.6.1
#> [25] parallel_4.5.0 bslib_0.10.0 tools_4.5.0 iterators_1.0.14
#> [29] cachem_1.1.0