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> ### > attach(NULL, name = "CheckExEnv") > assign(".CheckExEnv", as.environment(2), pos = length(search())) # base > ## add some hooks to label plot pages for base and grid graphics > setHook("plot.new", ".newplot.hook") > setHook("persp", ".newplot.hook") > setHook("grid.newpage", ".gridplot.hook") > > assign("cleanEx", + function(env = .GlobalEnv) { + rm(list = ls(envir = env, all.names = TRUE), envir = env) + RNGkind("default", "default") + set.seed(1) + options(warn = 1) + delayedAssign("T", stop("T used instead of TRUE"), + assign.env = .CheckExEnv) + delayedAssign("F", stop("F used instead of FALSE"), + assign.env = .CheckExEnv) + sch <- search() + newitems <- sch[! sch %in% .oldSearch] + for(item in rev(newitems)) + eval(substitute(detach(item), list(item=item))) + missitems <- .oldSearch[! .oldSearch %in% sch] + if(length(missitems)) + warning("items ", paste(missitems, collapse=", "), + " have been removed from the search path") + }, + env = .CheckExEnv) > assign("..nameEx", "__{must remake R-ex/*.R}__", env = .CheckExEnv) # for now > assign("ptime", proc.time(), env = .CheckExEnv) > grDevices::postscript("AnalyzeFMRI-Examples.ps") > assign("par.postscript", graphics::par(no.readonly = TRUE), env = .CheckExEnv) > options(contrasts = c(unordered = "contr.treatment", ordered = "contr.poly")) > options(warn = 1) > library('AnalyzeFMRI') Loading required package: tcltk Loading Tcl/Tk interface ... done > > assign(".oldSearch", search(), env = .CheckExEnv) > assign(".oldNS", loadedNamespaces(), env = .CheckExEnv) > cleanEx(); ..nameEx <- "EC.3D" > > ### * EC.3D > > flush(stderr()); flush(stdout()) > > ### Name: EC.3D > ### Title: Expected Euler Characteristic for a 3D Random Field > ### Aliases: EC.3D > ### Keywords: utilities > > ### ** Examples > > EC.3D(4.6, sigma = diag(1, 3), voxdim = c(1, 1, 1), num.vox = 10000) [1] 0.04589339 > > EC.3D(4.6, sigma = diag(1, 3), voxdim = c(1, 1, 1), num.vox = 10000, type = "t", df = 100) [1] 0.1335733 > > > > > cleanEx(); ..nameEx <- "GaussSmoothArray" > > ### * GaussSmoothArray > > flush(stderr()); flush(stdout()) > > ### Name: GaussSmoothArray > ### Title: Spatially smooth an array with Gaussian kernel. > ### Aliases: GaussSmoothArray > ### Keywords: utilities > > ### ** Examples > > d <- c(10, 10, 10, 20) > mat <- array(rnorm(cumprod(d)[length(d)]), dim = d) > mat[, , 6:10, ] <- mat[, , 6:10, ] + 3 > mask <- array(0, dim = d[1:3]) > mask[3:8, 3:8, 3:8] <- 1 > b <- GaussSmoothArray(mat, mask = mask, voxdim = c(1, 1, 1), ksize = 5, sigma = diag(1, 3)) > > > > cleanEx(); ..nameEx <- "GaussSmoothKernel" > > ### * GaussSmoothKernel > > flush(stderr()); flush(stdout()) > > ### Name: GaussSmoothKernel > ### Title: Calculates a discrete Gaussian smoothing kernel. > ### Aliases: GaussSmoothKernel > ### Keywords: utilities > > ### ** Examples > > a <- GaussSmoothKernel(voxdim=c(1,1,1), ksize=5, sigma=diag(1,3)) > > > > cleanEx(); ..nameEx <- "N2G" > > ### * N2G > > flush(stderr()); flush(stdout()) > > ### Name: N2G > ### Title: Fits the N2G model > ### Aliases: N2G > ### Keywords: utilities > > ### ** Examples > > par <- c(3, 2, 3, 2, .3, .4) > data <- c(rnorm(10000), rgamma(2000, 10, 1), -rgamma(1400, 10, 1)) > hist(data, n = 100, freq = FALSE) > > q <- N2G.Fit(data, par, maxit = 10000, method = "BFGS") Warning in dgamma(x, shape, scale, log) : NaNs produced Warning in dgamma(x, shape, scale, log) : NaNs produced > p <- seq(-50, 50, .1) > lines(p, N2G.Density(p, q), col = 2) > > > > cleanEx(); ..nameEx <- "N2G.Spatial.Mixture" > > ### * N2G.Spatial.Mixture > > flush(stderr()); flush(stdout()) > > ### Name: N2G.Spatial.Mixture > ### Title: fMRI Spatial Mixture Modelling > ### Aliases: N2G.Spatial.Mixture > ### Keywords: utilities > > ### ** Examples > > > ## simulate image > d <- c(100, 100, 1) > y <- array(0, dim = d) > m <- y > m[, , ] <- 1 > > z.init <- 2 * m > z.init[20:40, 20:40, 1] <- 1 > z.init[50:70, 50:70, 1] <- 3 > > y[z.init == 1] <- -rgamma(sum(z.init == 1), 4, 1) > y[z.init == 2] <- rnorm(sum(z.init == 2)) > y[z.init == 3] <- rgamma(sum(z.init == 3), 4, 1) > > mask <- 1 * (y < 1000) > > ## fit spatial mixture model > ans <- N2G.Spatial.Mixture(y, par.start = c(4, 2, 4, 2, 0.9, 0.05), ksize = 3, ktype = "2D", mask = m) > > ## plot original image, standard mixture model estimate and spatial mixture > ## model estimate > > par(mfrow = c(1, 3)) > image(y[, , 1]) > image(y[, , 1] > ans$lims[1]) ## this line plots the results of a Non-Spatial Mixture Model > image(ans$p.map[, , 1] > 0.5) ## this line plots the results of the Spatial Mixture Model > > > > > graphics::par(get("par.postscript", env = .CheckExEnv)) > cleanEx(); ..nameEx <- "NonLinearSmoothArray" > > ### * NonLinearSmoothArray > > flush(stderr()); flush(stdout()) > > ### Name: NonLinearSmoothArray > ### Title: Non-linear spatial smmothing of 3D and 4D arrays. > ### Aliases: NonLinearSmoothArray > ### Keywords: utilities > > ### ** Examples > > > #3D array > d<-rep(10,3) > a<-array(3,dim=d) > a[,5:10,5:10]<-7 > a<-a+array(rnorm(n=1000,sd=1),dim=d) > > h<-NonLinearSmoothArray(a,voxdim=c(1,1,1),radius=2,sm=3) > > par(mfrow=c(2,2)) > image(a[1,,],zlim=c(-1,12));title("Before smoothing") > image(h[1,,],zlim=c(-1,12));title("After smoothing") > persp(a[1,,],zlim=c(-1,12)) > persp(h[1,,],zlim=c(-1,12)) > > #4D array > d<-c(10,10,10,20) > a<-array(1,dim=d) > a[,,6:10,]<-2 > a<-a+array(rnorm(20000,sd=.1),dim=d) > > h<-NonLinearSmoothArray(a,voxdim=c(1,1,1),radius=2,sm=3) > > par(mfrow=c(2,2),mar=c(0,0,0,0)) > for(i in 1:10){ + for(j in 10:1){ + plot(a[1,i,j,],type="l",ylim=c(0,3),axes=FALSE);box() + lines(h[1,i,j,],col=2) + }} > > > > > graphics::par(get("par.postscript", env = .CheckExEnv)) > cleanEx(); ..nameEx <- "Sim.3D.GRF" > > ### * Sim.3D.GRF > > flush(stderr()); flush(stdout()) > > ### Name: Sim.3D.GRF > ### Title: Simulate a GRF > ### Aliases: Sim.3D.GRF > ### Keywords: utilities > > ### ** Examples > > > d <- c(64, 64, 21) > FWHM <- 9 > sigma <- diag(FWHM^2, 3) / (8 * log(2)) > voxdim <- c(2, 2, 4) > msk <- array(1, dim = d) > > field <- Sim.3D.GRF(d = d, voxdim = voxdim, sigma = sigma, ksize = 9, mask = msk, type = "max") > > > > > cleanEx(); ..nameEx <- "Sim.3D.GammaRF" > > ### * Sim.3D.GammaRF > > flush(stderr()); flush(stdout()) > > ### Name: Sim.3D.GammaRF > ### Title: Simulate Gamma distributed Random Field > ### Aliases: Sim.3D.GammaRF > ### Keywords: utilities > > ### ** Examples > > > d <- c(64, 64, 21) > FWHM <- 9 > sigma <- diag(FWHM^2, 3) / (8 * log(2)) > voxdim <- c(2, 2, 4) > m <- array(1, dim = d) > > a <- Sim.3D.GammaRF(d = d, voxdim = voxdim, sigma = sigma, + ksize = 9, mask = m, shape = 6, rate = 1) > > > > > cleanEx(); ..nameEx <- "SmoothEst" > > ### * SmoothEst > > flush(stderr()); flush(stdout()) > > ### Name: SmoothEst > ### Title: Estimate the variance-covariance matrix of a Gaussian random > ### field > ### Aliases: SmoothEst > ### Keywords: utilities > > ### ** Examples > > > ############### > ## EXAMPLE 1 ## > ############### > ## example that illustrates the bias of the Friston > ## method when smoothing is small compared to voxel size > ## NB. The presence of bias becomes clearer if the > ## simulations below are run about 100 times and > ## the results averaged > > ksize <- 13 > d <- c(64, 64, 64) > voxdim <- c(1, 1, 1) > FWHM <- 2 ## using a small value of FWHM (=2) compared to voxel size (=1) > sigma <- diag(FWHM^2, 3) / (8 * log(2)) > mask <- array(1, dim = d) > num.vox <- sum(mask) > > grf <- Sim.3D.GRF(d = d, voxdim = voxdim, sigma = sigma, ksize = ksize, mask = mask, type = "field")$mat > > sigma [,1] [,2] [,3] [1,] 0.7213475 0.0000000 0.0000000 [2,] 0.0000000 0.7213475 0.0000000 [3,] 0.0000000 0.0000000 0.7213475 > SmoothEst(grf, mask, voxdim, method = "Friston") [,1] [,2] [,3] [1,] 0.851233 0.0000000 0.0000000 [2,] 0.000000 0.8444554 0.0000000 [3,] 0.000000 0.0000000 0.8522466 > SmoothEst(grf, mask, voxdim, method = "Forman") ## compared to sigma [,1] [,2] [,3] [1,] 0.7169178 0.0000000 0.0000000 [2,] 0.0000000 0.7100873 0.0000000 [3,] 0.0000000 0.0000000 0.7179393 > ##the Forman estimator is better (on average) than the Friston estimator > > ############### > ## EXAMPLE 2 ## > ############### > ## increasing the amount of smoothing decreases the bias of the Friston estimator > > ksize <- 13 > d <- c(64, 64, 64) > voxdim <- c(1, 1, 1) > FWHM <- 5 ## using a large value of FWHM (=5) compared to voxel size (=1) > sigma <- diag(FWHM^2, 3) / (8 * log(2)) > mask <- array(1, dim = d) > num.vox <- sum(mask) > > grf <- Sim.3D.GRF(d = d, voxdim = voxdim, sigma = sigma, ksize = ksize, mask = mask, type = "field")$mat > > SmoothEst(grf, mask, voxdim, method = "Friston") [,1] [,2] [,3] [1,] 4.704813 0.000000 0.000000 [2,] 0.000000 5.002093 0.000000 [3,] 0.000000 0.000000 4.788262 > SmoothEst(grf, mask, voxdim, method = "Forman") [,1] [,2] [,3] [1,] 4.530062 0.000000 0.00000 [2,] 0.000000 4.824341 0.00000 [3,] 0.000000 0.000000 4.61267 > sigma [,1] [,2] [,3] [1,] 4.508422 0.000000 0.000000 [2,] 0.000000 4.508422 0.000000 [3,] 0.000000 0.000000 4.508422 > > > > > cleanEx(); ..nameEx <- "Threshold.Bonferroni" > > ### * Threshold.Bonferroni > > flush(stderr()); flush(stdout()) > > ### Name: Threshold.Bonferroni > ### Title: Calculates Bonferroni Threshold > ### Aliases: Threshold.Bonferroni > ### Keywords: utilities > > ### ** Examples > > Threshold.Bonferroni(0.05, 1000) Warning in if (type == "Normal") return(qnorm(1 - p.val/n)) : the condition has length > 1 and only the first element will be used [1] 3.890592 > > Threshold.Bonferroni(0.05, 1000, type = c("t"), df1 = 20) [1] 4.837301 > > Threshold.Bonferroni(0.05, 1000, type = c("F"), df1 = 3, df2 = 100) [1] 8.38784 > > > > > cleanEx(); ..nameEx <- "Threshold.FDR" > > ### * Threshold.FDR > > flush(stderr()); flush(stdout()) > > ### Name: Threshold.FDR > ### Title: False Discovery Rate (FDR) Threshold > ### Aliases: Threshold.FDR > ### Keywords: utilities > > ### ** Examples > > x <- c(rnorm(1000), rnorm(100, mean = 3)) > Threshold.FDR(x = x, q = 0.20, cV.type = 2) Warning in if (type == "Normal") p <- sort(1 - pnorm(x)) : the condition has length > 1 and only the first element will be used Warning in if (type == "t") p <- sort(1 - pt(x, df = df1)) : the condition has length > 1 and only the first element will be used Warning in if (type == "F") p <- sort(1 - pf(x, df1 = df1, df2 = df2)) : the condition has length > 1 and only the first element will be used Warning in if (type == "Normal") thr <- qnorm(1 - p[i]) : the condition has length > 1 and only the first element will be used Warning in if (type == "t") thr <- qt(1 - p[i], df = df1) : the condition has length > 1 and only the first element will be used Warning in if (type == "F") thr <- qf(1 - p[i], df1 = df1, df2 = df2) : the condition has length > 1 and only the first element will be used [1] 3.023542 > > > > cleanEx(); ..nameEx <- "Threshold.RF" > > ### * Threshold.RF > > flush(stderr()); flush(stdout()) > > ### Name: Threshold.RF > ### Title: Random Field Theory Thersholds. > ### Aliases: Threshold.RF > ### Keywords: utilities > > ### ** Examples > > a <- Threshold.RF(p.val = 0.05, sigma = diag(1, 3), voxdim = c(1, 1, 1), num.vox = 10000) > > EC.3D(a, sigma = diag(1, 3), voxdim = c(1, 1, 1), num.vox = 10000) [1] 0.05 > > > > > cleanEx(); ..nameEx <- "cluster.threshold" > > ### * cluster.threshold > > flush(stderr()); flush(stdout()) > > ### Name: cluster.threshold > ### Title: Cluster threshold an array. > ### Aliases: cluster.threshold > ### Keywords: utilities > > ### ** Examples > > > x <- array(0, dim = c(64, 64, 21)) > x[10:20, 10:20, 1:5] <- 1 > x[30:40, 30:40, 6:7] <- 1 > x[50, 50, 8:9] <- 1 > > a <- cluster.threshold(x, size.thr = 400) > sum(x) ## should be 849 [1] 849 > sum(a) ## should be 605 [1] 605 > > > > > cleanEx(); ..nameEx <- "cov.est" > > ### * cov.est > > flush(stderr()); flush(stdout()) > > ### Name: cov.est > ### Title: Estimates the covariance between neighbouring voxels > ### Aliases: cov.est > ### Keywords: utilities > > ### ** Examples > > ksize <- 9 > d <- c(64, 64, 21) > FWHM <- 9 > sigma <- diag(FWHM^2, 3) / (8 * log(2)) > voxdim <- c(2, 2, 4) > > filtermat <- GaussSmoothKernel(voxdim, ksize, sigma) > > mask <- array(1, dim = d) > num.vox <- sum(mask) > > mat <- Sim.3D.GRF(d = d, voxdim = voxdim, sigma = sigma, ksize = ksize, mask = mask, type = "field")$mat > > nmat <- expand.grid(-1:1, -1:1, -1:1) > nmat4 <- nmat[c(11, 13, 15, 17), ] > > cov <- cov.est(mat, mask, nmat4) > > > > cleanEx(); ..nameEx <- "f.analyze.file.summary" > > ### * f.analyze.file.summary > > flush(stderr()); flush(stdout()) > > ### Name: f.analyze.file.summary > ### Title: prints summary of .img file contents > ### Aliases: f.analyze.file.summary > ### Keywords: utilities > > ### ** Examples > > f.analyze.file.summary(system.file("example.img", package="AnalyzeFMRI")) File name: /CRANPkg/check/AnalyzeFMRI.Rcheck/AnalyzeFMRI/example.img Data Dimension: 4-D X dimension: 64 Y dimension: 64 Z dimension: 21 Time dimension: 1 time points Voxel dimensions: 4 mm x 4 mm x 6 mm Data type: signed short (16 bits per voxel) > > > > cleanEx(); ..nameEx <- "f.basic.hdr.list.create" > > ### * f.basic.hdr.list.create > > flush(stderr()); flush(stdout()) > > ### Name: f.basic.hdr.list.create > ### Title: creates basic .hdr list > ### Aliases: f.basic.hdr.list.create > ### Keywords: utilities > > ### ** Examples > > a<-array(rnorm(20*30*40*3),dim=c(20,30,40,3)) > file<-"temp.hdr" > f.basic.hdr.list.create(a, file) $file [1] "temp.hdr" $size.of.header [1] 348 $data.type [1] " " $db.name [1] " " $extents [1] 0 $session.error [1] 0 $regular [1] "" $hkey.un0 [1] "" $dim [1] 4 20 30 40 3 0 0 0 $vox.units [1] "mm" $cal.units [1] "voxels" $unused1 [1] 0 $datatype [1] 0 $bitpix [1] 0 $dim.un0 [1] 0 $pixdim [1] 0 0 0 0 0 0 0 0 attr(,"Csingle") [1] TRUE $vox.offset [1] 0 attr(,"Csingle") [1] TRUE $funused1 [1] 0 attr(,"Csingle") [1] TRUE $funused2 [1] 0 attr(,"Csingle") [1] TRUE $funused3 [1] 0 attr(,"Csingle") [1] TRUE $cal.max [1] 0 attr(,"Csingle") [1] TRUE $cal.min [1] 0 attr(,"Csingle") [1] TRUE $compressed [1] 0 attr(,"Csingle") [1] TRUE $verified [1] 0 attr(,"Csingle") [1] TRUE $glmax [1] 0 $glmin [1] 0 $descrip [1] " " $aux.file [1] " " $orient [1] " " $originator [1] " " $generated [1] " " $scannum [1] " " $patient.id [1] " " $exp.date [1] " " $exp.time [1] " " $hist.un0 [1] " " $views [1] 0 $vols.added [1] 0 $start.field [1] 0 $field.skip [1] 0 $omax [1] 0 $omin [1] 0 $smax [1] 0 $smin [1] 0 > > > > cleanEx(); ..nameEx <- "f.read.analyze.header" > > ### * f.read.analyze.header > > flush(stderr()); flush(stdout()) > > ### Name: f.read.analyze.header > ### Title: read Analyze header file > ### Aliases: f.read.analyze.header > ### Keywords: utilities > > ### ** Examples > > f.read.analyze.header(system.file("example.hdr", package="AnalyzeFMRI")) $swap [1] 0 $file.name [1] "/CRANPkg/check/AnalyzeFMRI.Rcheck/AnalyzeFMRI/example.img" $dim [1] 4 64 64 21 1 0 0 0 $vox.units [1] "mm" $cal.units [1] "pixels" $datatype [1] 4 $data.type [1] "signed short" $bitpix [1] 16 $pixdim [1] 4 4 4 6 0 0 0 0 attr(,"Csingle") [1] TRUE $glmax [1] 14553 $glmin [1] 0 > > > > cleanEx(); ..nameEx <- "f.read.analyze.slice" > > ### * f.read.analyze.slice > > flush(stderr()); flush(stdout()) > > ### Name: f.read.analyze.slice > ### Title: read one slice from a .img file > ### Aliases: f.read.analyze.slice > ### Keywords: utilities > > ### ** Examples > > a<-f.read.analyze.slice(system.file("example.img", package="AnalyzeFMRI"),10,1) > dim(a) [1] 64 64 > > > > cleanEx(); ..nameEx <- "f.read.analyze.slice.at.all.timepoints" > > ### * f.read.analyze.slice.at.all.timepoints > > flush(stderr()); flush(stdout()) > > ### Name: f.read.analyze.slice.at.all.timepoints > ### Title: reads a slice at all time points from a .img file > ### Aliases: f.read.analyze.slice.at.all.timepoints > ### Keywords: utilities > > ### ** Examples > > a<-f.read.analyze.slice.at.all.timepoints(system.file("example.img", package="AnalyzeFMRI"),10) > dim(a) [1] 64 64 1 > > > > cleanEx(); ..nameEx <- "f.read.analyze.tpt" > > ### * f.read.analyze.tpt > > flush(stderr()); flush(stdout()) > > ### Name: f.read.analyze.tpt > ### Title: Read in a volume at one time point > ### Aliases: f.read.analyze.tpt > ### Keywords: utilities > > ### ** Examples > > f.read.analyze.tpt(system.file("example.img", package="AnalyzeFMRI"),1) , , 1 [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [1,] 0 0 0 0 0 0 0 0 0 0 0 0 0 [2,] 149 144 22 103 100 87 69 101 91 43 67 76 66 [3,] 158 174 44 118 55 72 63 96 46 37 72 25 81 [4,] 139 159 41 116 37 82 85 40 57 33 107 61 59 [5,] 164 115 68 92 55 25 35 41 25 24 72 81 70 [6,] 160 110 24 114 56 80 72 49 83 22 44 38 106 [7,] 90 145 65 101 50 62 52 45 36 51 88 70 95 [8,] 151 168 65 103 68 36 49 38 32 70 88 82 135 [9,] 120 160 56 121 69 61 65 45 75 72 95 54 127 [10,] 111 145 36 114 78 88 35 66 66 54 131 92 214 [11,] 166 189 77 76 34 103 43 44 39 41 94 82 144 [12,] 139 157 96 101 102 45 19 58 84 61 87 90 150 [13,] 114 154 80 128 51 40 47 55 94 52 129 86 155 [14,] 157 162 88 83 48 94 98 38 83 89 145 205 202 [15,] 113 215 97 128 98 59 66 66 36 74 116 123 181 [16,] 151 160 67 172 163 193 163 174 203 205 261 229 440 [17,] 128 209 108 175 99 106 56 75 37 80 186 178 310 [18,] 175 200 88 149 72 114 106 39 129 91 255 277 428 [19,] 80 167 42 134 22 137 203 30 167 135 468 816 760 [20,] 84 116 43 90 43 75 155 57 205 227 459 1048 564 [21,] 137 120 52 186 32 111 92 46 46 68 513 647 243 [22,] 101 223 107 135 77 88 103 236 371 167 711 891 1133 [23,] 155 167 150 261 236 303 134 378 600 1913 1631 786 1387 [24,] 202 266 179 210 131 168 400 397 2532 1697 1607 3259 6203 [25,] 441 413 355 169 275 126 521 1586 2783 1628 3112 7282 7232 [26,] 769 601 461 268 199 437 784 2682 2527 2560 7374 7297 7416 [27,] 238 411 342 274 221 501 1669 3041 2174 6592 7146 7534 6930 [28,] 430 77 378 835 1050 842 2718 3183 3871 6330 7564 7120 7207 [29,] 293 653 1015 1643 1410 1216 2783 3401 5487 6718 7584 7520 7402 [30,] 231 475 1412 1642 1345 1383 1971 3154 4765 7420 8031 7531 7916 [31,] 374 816 1846 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[26,] 221 301 565 301 289 198 249 1769 2603 4758 7598 7821 7642 [27,] 167 531 205 121 422 666 1112 2552 4113 7086 6937 7476 8649 [28,] 311 487 128 244 404 744 2024 2785 6411 7396 6981 6862 8010 [29,] 261 246 60 224 344 505 1731 3440 7564 7369 7095 7627 7508 [30,] 205 290 132 98 332 611 1458 4830 7355 7267 7175 7860 7132 [31,] 176 234 204 354 694 793 2233 5716 7109 7023 7044 7516 7425 [32,] 253 244 239 210 86 605 1505 3438 5829 6979 6953 6998 8096 [33,] 394 229 214 141 273 483 387 1167 2680 5484 7488 7271 8037 [34,] 145 259 243 74 640 835 1465 1964 4855 6770 7425 8411 8571 [35,] 154 73 388 451 400 400 1578 4551 6638 7179 7178 7669 8691 [36,] 0 396 336 337 859 986 2003 6148 7281 7212 7305 7376 7362 [37,] 0 175 429 237 194 512 1260 5939 6993 7048 7301 7887 8126 [38,] 0 196 493 781 424 195 810 3632 7376 7357 7533 8331 8384 [39,] 0 311 477 438 1028 652 294 1352 5026 7408 7357 8808 8823 [40,] 0 195 259 226 471 785 487 1001 2197 6296 8266 8425 8459 [41,] 0 210 139 407 221 1043 934 366 1580 3741 8248 8354 8334 [42,] 0 271 48 331 356 519 340 446 1510 1847 4866 7330 8115 [43,] 0 450 264 179 428 223 536 325 793 794 1190 1626 4534 [44,] 0 301 235 104 293 445 312 407 949 555 271 616 1235 [45,] 0 204 231 338 157 326 371 678 1468 967 195 356 684 [46,] 0 330 200 262 239 272 268 221 590 615 527 318 559 [47,] 0 505 423 364 166 271 271 189 229 208 212 405 266 [48,] 0 433 123 242 68 279 132 110 148 133 262 245 449 [49,] 0 199 34 119 59 245 99 130 85 116 176 118 210 [50,] 0 46 110 110 87 237 113 95 92 52 100 45 193 [51,] 0 52 148 92 140 236 96 67 117 131 69 112 351 [52,] 0 149 144 69 151 135 73 104 197 135 125 169 201 [53,] 0 139 128 92 184 199 83 112 140 50 94 90 112 [54,] 0 104 95 65 173 209 138 98 77 49 121 87 134 [55,] 0 112 89 43 194 213 84 36 143 41 75 70 122 [56,] 0 122 128 89 152 217 78 105 116 47 76 118 136 [57,] 0 116 92 147 188 190 82 68 143 105 112 110 80 [58,] 0 108 76 62 149 190 68 27 66 49 16 65 85 [59,] 0 94 60 89 185 163 71 45 65 35 87 90 98 [60,] 0 67 58 67 163 184 64 67 67 52 78 96 114 [61,] 0 96 69 99 158 215 60 100 105 21 62 15 146 [62,] 0 96 65 86 174 144 50 60 135 53 37 37 107 [63,] 0 93 65 87 154 135 59 72 99 61 88 58 104 [64,] 0 90 109 100 206 179 78 93 45 11 18 120 108 [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25] [1,] 0 0 0 0 0 0 0 0 0 0 0 0 [2,] 135 116 54 100 62 31 32 28 84 64 78 28 [3,] 143 83 47 26 77 21 60 29 40 42 83 32 [4,] 117 108 75 50 63 83 63 48 77 35 32 26 [5,] 84 76 30 37 51 81 79 76 57 19 115 48 [6,] 119 73 37 100 99 112 39 86 75 11 52 33 [7,] 147 95 81 69 30 121 61 63 133 32 75 40 [8,] 137 112 65 83 82 93 49 63 116 81 81 56 [9,] 152 80 27 61 108 105 19 40 78 60 120 63 [10,] 125 55 95 76 74 99 17 79 71 66 89 38 [11,] 141 100 66 58 75 89 91 90 100 63 169 78 [12,] 106 85 52 45 129 79 109 61 84 95 102 107 [13,] 99 128 77 94 110 173 100 63 109 120 183 121 [14,] 174 158 113 105 156 146 90 126 162 108 256 209 [15,] 133 81 101 128 106 186 284 335 536 708 934 1164 [16,] 293 334 410 148 375 207 348 473 727 1052 1590 1385 [17,] 510 307 586 836 590 572 787 789 817 786 739 719 [18,] 342 322 279 406 484 274 78 278 313 473 408 446 [19,] 263 269 72 343 429 284 170 136 299 226 181 155 [20,] 319 260 113 580 590 525 596 158 382 176 68 174 [21,] 437 569 756 1984 2613 2423 1516 723 624 210 176 265 [22,] 666 2256 4459 5929 5860 6073 6014 5288 2887 632 488 191 [23,] 4943 5593 5973 5853 6110 6212 6051 6453 6576 5489 899 210 [24,] 6921 7395 6999 7016 6854 6282 6248 6173 6007 6867 3171 1105 [25,] 7255 7578 6948 7066 6844 6822 6403 6627 6738 7517 2961 1344 [26,] 7587 7627 7678 7359 6700 6858 6588 6576 7071 7975 6720 5762 [27,] 8108 7891 6947 6802 6721 6785 6748 6581 7326 7780 7158 7053 [28,] 8149 7636 7026 6925 6982 6942 6923 7029 7270 7766 7013 6979 [29,] 7909 7255 6748 7064 7040 7107 7245 7968 7483 8422 7358 7966 [30,] 7546 6994 7093 6979 6401 6577 6099 7241 8388 8922 7380 7416 [31,] 7469 7453 7619 7028 7332 8474 7694 7680 7864 8770 7767 8054 [32,] 7905 9102 8860 8522 8770 9171 8692 9613 9878 9670 8180 7912 [33,] 8625 8977 9223 9133 9338 9385 9595 9538 10970 9948 8526 8065 [34,] 8936 9480 9414 9293 9189 8876 9489 10043 12258 10433 8273 8185 [35,] 7992 9375 8915 8582 8842 9037 8319 10844 10342 9988 8410 8265 [36,] 7422 7090 7549 7232 7283 8283 8372 7663 8045 9147 8107 8154 [37,] 8062 7629 7342 7150 6414 7056 6467 7729 8222 9503 7942 7698 [38,] 8541 7819 7849 7622 7485 7085 7498 7956 8052 8559 8090 6828 [39,] 8283 8342 7540 8260 7697 7919 7276 7675 7504 8313 8070 9163 [40,] 8165 8226 7870 8066 8284 7675 8311 7797 8283 8450 9717 9369 [41,] 7543 7679 7348 7662 7794 8166 7894 8234 8905 9077 7655 3886 [42,] 7824 8080 7389 7951 7659 7277 7935 8031 8133 8102 3352 2369 [43,] 7509 6964 7152 7706 7124 7804 7526 7360 7774 7291 3758 2535 [44,] 3988 7419 6983 7521 7526 6874 6593 6561 6670 7122 4397 1707 [45,] 966 3948 6812 7323 7504 7153 6605 5838 5911 4695 1488 655 [46,] 311 966 1086 3297 4143 3232 1317 1445 2005 1551 970 445 [47,] 165 308 145 798 1143 847 439 569 393 208 352 300 [48,] 335 290 100 308 544 405 337 246 136 91 140 282 [49,] 170 572 310 215 301 323 475 234 166 275 193 268 [50,] 127 378 503 579 750 629 468 568 821 965 1056 1227 [51,] 226 305 175 381 995 1269 1097 1079 981 977 984 1133 [52,] 115 350 376 584 505 328 183 219 432 553 701 655 [53,] 36 215 236 275 186 46 42 150 277 179 221 318 [54,] 83 190 146 207 72 33 35 118 117 127 116 113 [55,] 92 117 141 143 38 58 32 54 176 72 44 25 [56,] 102 169 73 119 63 28 31 125 111 88 62 98 [57,] 89 107 83 80 48 46 62 57 102 51 37 44 [58,] 119 132 76 73 36 28 37 94 102 53 65 57 [59,] 108 109 72 121 75 35 54 47 100 43 70 45 [60,] 59 67 69 64 10 53 48 49 126 84 122 37 [61,] 79 97 22 112 42 75 36 77 60 54 77 71 [62,] 139 92 53 48 77 31 44 63 128 25 11 31 [63,] 86 130 107 119 92 48 46 65 123 75 43 31 [64,] 60 97 41 58 64 21 17 25 86 47 64 23 [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37] [1,] 0 0 0 0 0 0 0 0 0 0 102 122 [2,] 71 36 22 46 63 80 31 37 28 77 99 113 [3,] 77 86 28 48 35 31 77 42 37 68 71 94 [4,] 17 23 21 19 46 28 48 29 16 73 77 115 [5,] 56 68 50 57 56 55 63 27 50 68 62 70 [6,] 43 76 27 52 39 18 15 14 82 128 66 133 [7,] 80 13 55 46 29 52 87 58 28 76 116 100 [8,] 93 51 34 64 42 40 49 13 68 95 87 79 [9,] 95 31 18 45 98 58 45 33 87 100 132 96 [10,] 174 116 35 65 53 21 77 86 50 108 129 139 [11,] 144 105 47 36 74 61 80 72 67 143 141 126 [12,] 150 61 40 27 77 68 55 83 35 154 81 127 [13,] 208 117 72 63 69 29 117 131 46 123 172 115 [14,] 277 284 161 98 131 38 68 74 101 196 187 95 [15,] 1370 1113 945 602 384 159 269 107 124 119 199 198 [16,] 894 658 427 427 377 186 248 239 105 315 229 287 [17,] 762 944 840 885 591 674 515 137 226 250 140 321 [18,] 380 432 495 412 1017 1358 1483 784 410 324 253 442 [19,] 192 295 441 364 153 329 290 389 298 250 346 270 [20,] 179 272 377 230 134 349 424 304 317 1128 737 789 [21,] 224 151 288 68 97 298 290 416 1388 1885 1067 2197 [22,] 189 170 250 88 319 108 344 527 615 1643 2653 1765 [23,] 477 205 384 385 382 272 573 500 714 803 3302 2458 [24,] 1020 653 543 210 323 421 259 869 2210 3122 4840 3498 [25,] 1267 597 568 604 1194 1362 2020 2212 2514 5798 7347 5778 [26,] 1735 738 1138 451 488 2264 3556 4829 6426 6984 5360 3949 [27,] 4330 1571 1585 846 1815 4217 5587 6861 8509 6760 6073 6491 [28,] 5599 3018 2257 1731 1350 2428 3801 5084 6648 6811 4714 4003 [29,] 8578 6306 2130 1324 1035 1764 1640 2562 3017 3629 3071 2134 [30,] 7435 7330 8292 5297 1844 1143 581 1143 2494 2285 2310 2181 [31,] 7883 7627 7192 7734 5199 3220 920 962 1159 1991 993 1016 [32,] 8012 8343 7615 7516 8774 8580 3091 1293 612 822 252 491 [33,] 8423 8161 8156 7168 4597 4477 3093 1094 1046 404 355 455 [34,] 8013 8276 8072 7072 7306 5714 4171 1866 868 612 146 464 [35,] 7793 8107 7918 7657 7901 8999 4196 2558 1021 904 592 1104 [36,] 7792 7841 7049 8242 8028 7402 4628 1770 867 1138 1309 1729 [37,] 7973 8271 10194 8265 1997 683 1133 1298 3968 4970 4003 1652 [38,] 8954 9738 9524 3257 1610 347 438 2865 7232 5800 4018 2534 [39,] 8759 4453 4080 401 230 1711 4796 7709 8359 7721 6128 4592 [40,] 2530 1660 2364 1504 332 4005 7372 7932 8023 7059 7232 6468 [41,] 1762 450 885 932 1651 4841 7700 7877 6988 6553 4596 4377 [42,] 1593 1274 416 829 1378 5692 7222 7782 6612 5759 5687 4171 [43,] 868 739 1308 1860 3820 4393 4605 4790 6878 7457 6365 5942 [44,] 790 1039 953 1334 1236 1862 2451 2124 5909 7958 9356 4010 [45,] 129 182 295 502 731 701 1098 594 3295 4921 4707 1055 [46,] 422 134 241 43 264 421 676 404 719 394 564 2322 [47,] 474 151 187 86 442 359 499 146 203 570 1371 1253 [48,] 459 229 236 306 736 256 155 167 389 712 779 1016 [49,] 397 343 192 370 457 124 391 681 540 393 413 521 [50,] 1328 1053 467 608 245 235 124 278 260 474 161 651 [51,] 1216 893 652 470 249 105 77 68 247 143 232 506 [52,] 796 380 292 403 116 181 197 128 130 106 225 298 [53,] 341 491 319 157 159 150 139 150 81 52 196 289 [54,] 195 226 182 90 163 119 125 109 77 17 132 260 [55,] 67 142 139 99 114 44 105 87 112 25 97 226 [56,] 42 54 47 78 94 76 105 82 124 45 123 167 [57,] 17 62 83 101 58 50 59 50 101 83 100 191 [58,] 37 45 66 23 51 94 144 26 39 69 111 190 [59,] 24 44 66 73 46 93 59 9 30 34 87 185 [60,] 27 58 80 68 61 25 59 36 45 83 66 148 [61,] 45 17 35 32 40 50 69 51 43 47 48 124 [62,] 23 40 80 56 18 97 36 24 20 11 65 124 [63,] 41 93 45 46 13 42 54 31 22 37 49 110 [64,] 37 59 70 98 58 83 25 34 55 73 51 0 [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49] [1,] 59 92 87 50 19 36 92 60 37 87 112 36 [2,] 54 47 55 57 41 37 40 48 33 69 121 75 [3,] 65 72 48 97 44 21 51 55 53 95 87 56 [4,] 84 116 20 97 88 44 63 34 33 113 111 52 [5,] 128 93 20 64 74 34 12 26 31 94 31 27 [6,] 119 119 122 87 49 12 88 82 41 96 44 81 [7,] 111 60 20 65 22 65 102 41 23 82 48 90 [8,] 101 86 95 29 27 9 62 33 44 138 64 29 [9,] 182 71 54 67 43 53 70 105 67 131 73 73 [10,] 102 46 96 125 52 64 73 78 21 123 59 97 [11,] 170 111 99 97 68 54 111 125 88 77 56 109 [12,] 188 73 67 116 81 69 72 116 101 112 106 57 [13,] 182 126 104 86 55 31 61 101 86 138 17 87 [14,] 205 163 114 111 37 60 80 148 80 148 91 67 [15,] 333 137 167 226 146 56 136 216 84 70 112 160 [16,] 545 250 92 222 257 131 99 271 173 167 87 93 [17,] 298 678 787 703 502 389 271 178 106 328 235 126 [18,] 178 249 173 84 398 433 85 417 291 451 320 146 [19,] 356 285 140 300 137 131 305 373 419 622 381 291 [20,] 849 687 162 287 215 370 223 938 551 585 149 80 [21,] 2628 1588 1340 829 514 1117 2764 3100 1052 324 170 697 [22,] 2807 3837 4302 3139 275 1203 1992 3918 2716 843 298 596 [23,] 2950 2455 2696 1625 1261 208 1440 1852 1589 785 561 898 [24,] 2427 1696 1223 972 380 265 1027 1093 1201 2120 2836 2789 [25,] 2156 919 281 239 803 649 1064 2336 3211 3529 3671 3089 [26,] 2968 774 850 697 423 1210 2237 3279 4245 4489 4189 3431 [27,] 5730 4554 2701 1068 781 982 2538 3789 3890 3739 3799 3339 [28,] 2920 1703 798 611 336 671 795 1182 1650 2000 2582 2397 [29,] 1422 292 351 272 327 371 465 619 447 352 633 390 [30,] 1655 1416 873 418 365 367 458 466 319 234 140 43 [31,] 917 478 377 208 62 90 246 222 352 189 74 265 [32,] 337 145 197 236 116 120 148 136 215 225 253 138 [33,] 435 170 42 142 107 58 287 197 391 263 110 162 [34,] 550 271 76 160 144 218 180 77 68 131 348 167 [35,] 732 40 308 324 57 47 256 134 477 270 84 209 [36,] 1022 28 195 202 355 43 94 257 326 246 253 148 [37,] 716 1125 175 332 182 92 246 177 295 233 219 421 [38,] 1013 860 342 138 373 186 332 355 552 854 1250 1459 [39,] 3249 1686 618 419 245 247 416 651 1349 2760 3889 4396 [40,] 4601 1986 1256 401 456 1009 1279 4126 5296 5642 5794 5280 [41,] 2745 3564 1691 235 429 148 1022 2998 4534 5533 5551 5155 [42,] 1609 3202 1475 825 681 849 755 1919 2936 3880 3984 3556 [43,] 625 521 433 192 311 599 715 587 1194 1932 2601 2800 [44,] 3111 3345 3752 2744 1456 1278 1954 3373 3090 2229 1341 1355 [45,] 1024 4004 3723 4025 1333 1438 810 2295 4274 1876 398 495 [46,] 3149 3389 1892 1423 611 376 2270 3395 2383 996 499 450 [47,] 642 1262 363 240 728 313 346 185 766 1015 1134 828 [48,] 238 445 159 56 461 165 598 1041 1206 1141 847 514 [49,] 60 264 63 215 536 951 1180 1343 1070 568 288 106 [50,] 263 346 591 645 351 585 478 238 358 141 76 36 [51,] 148 313 99 109 135 219 267 230 377 323 167 46 [52,] 113 241 25 107 70 149 167 154 267 157 83 92 [53,] 176 132 65 83 24 151 149 75 168 109 99 96 [54,] 74 151 57 47 63 72 128 64 123 139 48 58 [55,] 80 156 66 96 48 26 118 90 103 145 53 16 [56,] 106 197 85 29 23 26 116 33 91 114 55 50 [57,] 85 121 45 74 53 50 100 60 108 125 45 20 [58,] 62 115 36 84 46 56 130 35 103 125 44 113 [59,] 71 107 65 54 68 88 101 59 33 126 32 42 [60,] 52 41 28 50 55 61 88 36 93 129 82 34 [61,] 72 149 35 50 69 30 92 28 54 72 101 19 [62,] 74 107 45 32 11 24 141 43 42 88 70 86 [63,] 73 74 51 81 36 45 72 36 68 96 40 82 [64,] 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,] 124 63 93 83 31 75 95 64 120 64 60 86 [2,] 92 76 54 23 44 37 55 86 125 109 127 56 [3,] 102 59 70 40 122 85 66 64 99 44 94 44 [4,] 94 133 32 27 60 42 139 63 98 63 94 51 [5,] 81 112 45 51 22 35 137 110 149 69 91 58 [6,] 112 89 57 34 25 74 118 35 101 49 62 81 [7,] 82 58 16 37 48 83 121 73 110 52 130 77 [8,] 106 49 37 25 110 74 112 42 91 38 100 111 [9,] 71 42 48 37 41 73 113 58 136 38 93 47 [10,] 97 33 43 75 37 60 91 61 80 57 49 86 [11,] 78 84 73 46 86 44 53 27 150 92 84 64 [12,] 118 28 58 49 80 80 123 44 120 103 107 85 [13,] 78 11 73 31 95 44 77 36 77 83 80 24 [14,] 102 34 19 72 118 65 35 81 96 75 133 52 [15,] 39 117 90 146 102 162 98 84 151 122 37 39 [16,] 73 36 32 102 116 145 137 114 163 82 63 90 [17,] 153 121 90 97 99 97 163 101 251 157 122 37 [18,] 154 156 87 94 100 166 267 103 248 75 197 142 [19,] 78 169 197 100 149 161 281 264 186 148 299 291 [20,] 453 383 400 275 278 264 179 367 286 49 52 127 [21,] 818 566 615 844 776 574 347 173 240 108 208 100 [22,] 251 262 331 394 716 438 330 109 176 137 93 122 [23,] 732 511 355 763 274 258 257 127 147 130 115 320 [24,] 1614 1132 1136 698 566 409 89 156 334 412 384 455 [25,] 1851 1211 935 950 803 415 246 276 471 662 521 673 [26,] 2155 960 542 1099 1556 662 699 703 816 884 1027 908 [27,] 2791 2605 1912 1670 1544 999 532 409 398 775 1026 971 [28,] 2380 2301 1659 1783 1200 1559 1109 1165 626 978 867 640 [29,] 790 831 828 1023 926 723 302 558 276 676 548 256 [30,] 144 53 497 349 831 614 386 266 474 357 455 198 [31,] 91 159 127 90 204 244 92 148 239 219 158 306 [32,] 302 130 411 229 352 282 248 366 419 126 352 67 [33,] 239 99 145 72 404 437 160 337 528 287 430 601 [34,] 212 205 305 245 201 288 434 309 838 596 792 667 [35,] 163 254 209 81 374 383 138 187 155 86 271 287 [36,] 173 263 288 154 82 54 129 158 320 160 441 94 [37,] 508 300 439 264 471 387 73 129 199 380 137 331 [38,] 1912 1717 1433 1390 1080 1101 396 660 336 548 229 542 [39,] 4469 3617 2578 1831 970 1044 987 914 640 628 870 1045 [40,] 4627 2886 1714 1331 1258 1032 940 908 1050 817 1012 1162 [41,] 3108 1723 1575 1497 1207 987 658 519 641 540 537 711 [42,] 2162 1266 1147 1315 1385 766 401 237 265 234 252 151 [43,] 2179 1517 1059 1002 788 367 313 145 219 109 60 240 [44,] 1052 539 240 267 529 146 410 193 156 49 220 94 [45,] 552 507 460 264 419 536 427 268 192 109 276 206 [46,] 339 165 340 515 251 353 339 198 143 287 259 448 [47,] 657 496 112 235 275 330 330 415 498 452 440 501 [48,] 535 411 374 103 252 270 473 441 271 296 137 88 [49,] 240 250 163 183 247 208 212 147 299 304 321 308 [50,] 130 146 171 164 182 75 144 56 129 186 102 125 [51,] 237 201 147 60 85 97 91 78 40 97 95 34 [52,] 198 190 89 105 43 24 127 52 125 109 119 46 [53,] 222 157 101 64 37 55 94 73 138 68 84 16 [54,] 195 165 95 62 36 64 82 71 157 45 85 38 [55,] 175 178 72 89 57 85 98 58 118 69 130 81 [56,] 155 132 61 74 68 20 108 89 112 43 110 32 [57,] 114 127 81 33 23 22 71 43 122 43 93 70 [58,] 165 138 63 77 50 41 99 51 105 27 97 65 [59,] 122 135 34 63 24 58 119 47 121 85 72 23 [60,] 126 155 64 97 13 31 93 55 86 26 90 14 [61,] 103 137 53 89 22 58 90 51 93 19 44 51 [62,] 123 61 81 42 49 38 78 49 113 19 75 22 [63,] 92 83 88 34 38 64 84 53 101 67 47 31 [64,] 0 0 0 0 0 0 0 0 0 0 0 0 [,62] [,63] [,64] [1,] 144 52 0 [2,] 163 122 0 [3,] 145 121 0 [4,] 109 70 0 [5,] 154 61 0 [6,] 152 82 0 [7,] 123 122 0 [8,] 175 70 0 [9,] 138 70 0 [10,] 141 86 0 [11,] 153 18 0 [12,] 155 45 0 [13,] 129 51 0 [14,] 181 61 0 [15,] 175 62 0 [16,] 165 117 0 [17,] 176 84 0 [18,] 207 69 0 [19,] 198 278 0 [20,] 166 81 0 [21,] 174 186 0 [22,] 206 111 0 [23,] 247 223 0 [24,] 477 284 0 [25,] 734 691 0 [26,] 944 645 0 [27,] 695 496 0 [28,] 418 421 0 [29,] 344 235 0 [30,] 199 144 0 [31,] 147 150 0 [32,] 335 183 0 [33,] 279 381 0 [34,] 324 284 0 [35,] 366 384 330 [36,] 60 136 187 [37,] 202 294 289 [38,] 537 493 513 [39,] 1077 828 572 [40,] 1297 968 641 [41,] 810 748 489 [42,] 161 428 423 [43,] 147 276 309 [44,] 108 168 231 [45,] 231 153 128 [46,] 373 294 253 [47,] 723 545 428 [48,] 216 491 447 [49,] 269 60 114 [50,] 144 34 125 [51,] 179 64 200 [52,] 220 53 150 [53,] 180 104 110 [54,] 169 61 145 [55,] 198 41 112 [56,] 176 48 74 [57,] 198 94 103 [58,] 148 40 84 [59,] 118 62 147 [60,] 152 65 153 [61,] 169 99 139 [62,] 123 41 97 [63,] 173 77 95 [64,] 0 0 0 , , 3 [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [1,] 0 0 0 0 0 0 0 0 0 0 0 0 0 [2,] 31 81 90 75 48 143 100 83 32 21 58 72 60 [3,] 28 77 61 75 66 111 124 105 31 68 63 106 40 [4,] 81 54 110 41 35 112 122 77 70 33 84 109 107 [5,] 67 116 95 38 85 182 145 107 47 59 82 70 100 [6,] 89 86 77 68 71 113 133 96 80 34 79 58 54 [7,] 85 59 93 114 88 126 116 97 47 27 80 115 37 [8,] 57 106 128 65 43 113 132 46 63 63 65 98 80 [9,] 48 84 92 52 64 126 89 52 30 66 75 136 75 [10,] 50 71 101 67 94 145 81 107 42 30 36 127 53 [11,] 28 69 86 77 62 179 110 77 39 72 45 61 112 [12,] 46 86 50 88 74 118 103 69 50 47 14 94 78 [13,] 39 67 95 84 52 139 131 114 47 31 30 63 34 [14,] 65 62 72 71 40 133 101 90 67 52 55 124 95 [15,] 76 76 130 71 62 130 180 87 35 31 51 89 55 [16,] 60 85 100 96 53 136 129 89 46 55 90 34 74 [17,] 65 76 128 79 82 95 161 57 67 53 24 62 84 [18,] 65 151 104 48 48 117 129 109 81 55 66 95 248 [19,] 246 247 81 43 20 127 130 82 110 163 63 191 354 [20,] 295 242 176 101 114 92 107 76 165 204 280 395 203 [21,] 107 134 138 51 58 158 113 130 195 331 543 264 450 [22,] 120 208 207 124 72 282 270 342 616 238 96 262 1219 [23,] 78 153 112 192 252 80 385 711 306 144 224 1617 3166 [24,] 216 274 183 383 448 448 587 515 301 650 2227 3905 4916 [25,] 112 152 164 102 360 390 631 309 888 2217 4434 5032 5496 [26,] 149 224 161 47 181 546 775 1090 2045 3618 5520 6838 7353 [27,] 104 130 103 115 207 744 1120 1831 2848 4850 6516 7519 7990 [28,] 307 252 245 283 227 884 1731 2662 3964 5905 7224 6990 8313 [29,] 276 466 284 220 212 1234 2017 2571 4938 7069 7515 7631 7848 [30,] 70 139 339 271 611 1076 1895 3055 5668 6817 7512 8175 8088 [31,] 163 253 172 75 966 1748 2292 3107 5004 7160 7511 8121 8176 [32,] 46 46 154 333 1016 1155 1388 1867 3949 5600 7122 8018 8351 [33,] 184 201 305 770 904 481 700 706 1527 3439 6688 8801 8021 [34,] 33 95 331 922 567 681 1268 1761 2346 3933 7506 8078 8371 [35,] 100 253 440 571 745 1214 2582 3420 4923 5986 7162 9086 8574 [36,] 0 310 641 747 792 1146 3063 4741 6119 7210 6782 8759 8924 [37,] 0 312 356 306 471 1095 2481 4320 6014 7143 8127 8875 8557 [38,] 0 264 451 611 325 732 1720 3005 5137 5930 8943 8769 8860 [39,] 0 287 368 223 373 535 1365 2102 3079 5111 9017 8199 8494 [40,] 0 391 228 340 473 327 886 1817 2750 4311 6946 7648 8494 [41,] 0 239 223 358 164 528 635 1121 2415 4057 5764 7148 7909 [42,] 0 230 131 207 58 451 288 520 380 2000 4527 6781 7506 [43,] 0 183 207 287 75 284 261 700 1402 907 1242 3158 5476 [44,] 0 107 580 543 336 554 402 847 512 898 517 822 1817 [45,] 0 466 821 454 405 464 628 656 286 563 236 421 977 [46,] 0 645 532 416 165 411 582 379 267 337 319 420 669 [47,] 0 645 566 205 314 189 442 99 330 230 297 186 558 [48,] 0 200 337 288 140 106 139 167 163 74 161 99 178 [49,] 0 81 153 227 204 143 75 74 129 101 170 114 106 [50,] 0 64 103 131 129 144 76 111 37 25 80 97 85 [51,] 0 41 73 64 110 89 222 190 98 138 170 178 332 [52,] 0 123 39 115 85 152 58 102 135 75 99 117 119 [53,] 0 113 53 82 24 137 111 94 51 38 86 34 32 [54,] 0 40 39 78 23 137 87 104 33 43 97 29 41 [55,] 0 78 58 78 53 116 104 91 28 20 69 55 74 [56,] 0 65 68 53 60 132 160 136 53 40 53 67 50 [57,] 0 55 105 62 45 148 167 84 36 68 24 59 17 [58,] 0 47 66 64 87 150 118 121 39 59 18 39 86 [59,] 0 61 64 59 23 68 112 126 36 57 62 89 32 [60,] 0 48 115 62 61 114 83 98 39 27 21 75 91 [61,] 0 58 45 41 17 115 80 107 46 68 33 51 82 [62,] 0 81 63 75 32 120 124 65 45 41 77 74 76 [63,] 0 55 62 53 50 182 120 105 31 22 83 107 77 [64,] 0 79 96 55 80 141 138 104 58 50 103 90 89 [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25] [1,] 0 0 0 0 0 0 0 0 0 0 0 0 [2,] 142 114 138 46 94 48 15 31 13 47 76 79 [3,] 91 156 196 51 51 36 45 24 21 60 58 62 [4,] 99 136 148 49 87 83 82 57 39 24 55 22 [5,] 72 100 125 57 39 40 57 31 94 20 46 80 [6,] 87 142 122 38 105 58 9 20 26 70 68 33 [7,] 84 145 104 42 51 55 28 66 31 20 23 44 [8,] 83 80 113 50 91 87 51 47 46 41 61 26 [9,] 72 87 140 35 61 35 33 43 44 90 72 40 [10,] 121 96 131 59 25 82 38 67 58 16 41 57 [11,] 110 97 132 49 88 61 70 25 53 69 70 65 [12,] 87 85 131 40 69 83 86 64 37 91 49 31 [13,] 100 109 113 31 68 48 90 134 59 36 58 92 [14,] 76 71 98 23 75 100 66 64 69 97 102 33 [15,] 83 34 119 61 129 120 180 157 191 158 191 101 [16,] 135 61 117 62 129 130 383 563 718 935 963 840 [17,] 32 109 88 184 283 502 718 1223 1597 1578 1127 647 [18,] 165 398 304 136 261 301 119 644 578 280 291 172 [19,] 516 298 449 256 252 311 156 193 107 161 96 120 [20,] 182 236 605 356 417 558 743 236 505 76 150 250 [21,] 470 660 1895 2602 1906 755 877 1383 241 868 965 943 [22,] 2040 2986 3796 5069 4925 5200 5143 2326 1263 1343 1158 774 [23,] 4012 5452 6908 6782 6957 7107 6543 5639 2730 2026 1777 1226 [24,] 6352 6834 6869 7202 7673 7730 7289 6655 5683 4934 3013 1455 [25,] 6974 7763 8003 8226 7978 8074 7603 7588 6763 6757 5464 2279 [26,] 7480 7594 8476 8337 8122 7993 7979 8091 8294 7943 7754 6988 [27,] 7495 8056 8487 8740 8565 8626 8389 8572 8065 8493 8488 7522 [28,] 8212 8343 8876 8971 8706 8568 8132 7944 7976 8001 8256 7868 [29,] 7989 8544 9092 8591 8018 7605 7510 7715 7608 7952 7837 8139 [30,] 8415 8876 8498 7733 7432 7332 7675 7767 8197 8133 7711 7440 [31,] 7961 8344 7619 7555 7078 7482 7582 7790 8233 8485 7932 8040 [32,] 8399 8274 7927 7767 7648 7513 8013 8919 9824 9604 8669 7892 [33,] 8545 8820 8713 8935 8161 8564 8591 11552 12789 10658 8806 8053 [34,] 8937 9423 8752 8983 8502 8860 8881 11507 12867 10863 9132 7981 [35,] 8933 8453 8373 8422 7709 7578 7775 8937 10058 10133 8859 8119 [36,] 8729 9473 8191 8114 8120 8055 8289 8077 8486 8807 8521 8152 [37,] 8662 9061 9310 8495 8054 8216 8069 8472 8521 8679 7524 7970 [38,] 9126 9402 8731 9022 8941 8691 8707 8438 8321 8554 8438 8603 [39,] 8951 9305 9221 8800 9065 8845 8617 8881 9198 9075 9204 8595 [40,] 8898 9320 8802 8645 8626 8831 9278 8780 8901 9316 9105 8405 [41,] 8597 8587 9219 8739 8033 7938 7344 8736 8637 8837 7342 6902 [42,] 8581 8895 8481 9130 8396 8312 7400 6727 6791 6347 6305 5614 [43,] 6313 7186 8390 8300 8066 6944 6096 6337 4367 3979 1563 483 [44,] 4571 4680 5822 6949 8100 5299 3852 2168 2381 2267 1534 662 [45,] 943 2554 2089 2287 1992 2399 2517 1816 1801 1079 1072 1722 [46,] 499 1003 1286 937 2007 1607 2465 281 1150 1651 2136 2577 [47,] 866 968 588 377 445 1126 546 405 196 262 713 985 [48,] 454 787 101 806 379 881 279 105 226 140 534 405 [49,] 236 610 767 1160 766 1337 564 185 175 317 391 127 [50,] 180 428 883 743 259 592 1145 408 345 500 564 281 [51,] 183 198 620 462 583 1231 1328 1275 1288 1163 1009 754 [52,] 237 273 173 553 812 693 622 540 438 325 231 336 [53,] 158 214 209 264 370 251 243 234 235 70 83 165 [54,] 136 136 216 116 248 150 185 121 130 57 70 155 [55,] 88 169 205 114 159 74 123 55 70 85 48 120 [56,] 102 125 191 116 172 76 64 34 19 34 66 68 [57,] 90 114 203 133 129 45 98 35 12 69 70 112 [58,] 100 165 172 107 102 61 98 59 40 60 67 121 [59,] 93 142 129 108 83 80 104 38 44 55 16 88 [60,] 65 179 172 91 82 90 104 29 68 43 69 74 [61,] 39 129 219 98 79 79 26 38 40 39 20 62 [62,] 54 73 142 38 34 27 81 34 25 32 20 50 [63,] 73 115 130 98 94 44 115 29 57 59 53 56 [64,] 84 95 156 50 92 33 43 21 41 31 47 31 [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37] [1,] 0 0 0 0 0 0 0 0 0 99 120 38 [2,] 110 69 97 29 34 64 75 43 75 100 41 73 [3,] 62 61 77 31 43 46 39 50 107 95 100 48 [4,] 41 42 82 41 28 26 60 82 51 77 75 67 [5,] 63 67 97 12 43 70 99 76 92 79 118 73 [6,] 43 75 46 26 41 27 50 23 54 78 89 62 [7,] 81 49 29 47 18 42 50 41 25 99 113 51 [8,] 41 45 62 45 15 27 74 38 40 73 95 61 [9,] 19 63 71 33 30 95 31 84 83 73 114 106 [10,] 73 35 29 37 28 53 74 63 61 23 88 93 [11,] 84 48 51 62 38 86 68 87 109 124 133 79 [12,] 48 89 82 52 56 61 77 80 103 102 100 70 [13,] 95 69 33 29 47 67 49 29 130 141 130 95 [14,] 87 52 73 91 80 90 67 34 147 137 152 120 [15,] 287 201 43 176 128 128 119 152 167 172 138 133 [16,] 572 345 140 160 151 247 404 215 147 350 232 120 [17,] 510 301 328 201 150 297 575 180 267 620 355 536 [18,] 231 252 205 328 451 672 547 609 1231 1066 346 342 [19,] 172 149 242 187 172 246 1085 1454 1307 413 404 506 [20,] 145 124 144 109 227 331 425 869 1116 451 626 1045 [21,] 990 855 901 950 1014 1355 1582 1398 1021 1047 1818 1860 [22,] 557 629 697 1299 1680 1885 1438 1667 3898 5749 4553 4800 [23,] 1694 1951 2330 2804 2857 2577 3238 2500 1879 5433 8100 8717 [24,] 1178 969 838 1354 2526 4318 3943 3165 2649 4305 5520 4644 [25,] 1326 662 475 1193 1962 4958 6131 4631 3965 4802 4104 2605 [26,] 2956 606 1038 1205 1613 5810 7768 6731 6589 4942 3921 1698 [27,] 4231 2476 1590 1581 1572 1698 8715 8617 6191 4376 3523 955 [28,] 6759 2460 2163 1816 1605 636 5432 9130 6563 3276 1373 1222 [29,] 8280 6996 4547 2952 3505 2085 3539 5351 2739 1554 1069 389 [30,] 7403 7660 7431 7258 5790 2382 1887 1807 2369 2422 1058 658 [31,] 7965 7848 7488 6955 7806 6534 5398 2073 519 432 233 24 [32,] 7907 8207 8219 7474 7012 7034 7030 3420 1652 587 234 155 [33,] 7714 8029 7502 7355 5303 4199 6126 3911 2008 750 435 112 [34,] 7613 8229 7140 7932 5433 5014 6471 4720 1659 613 402 187 [35,] 8027 8184 8226 8081 7135 7841 6688 4754 2790 714 253 277 [36,] 8009 8245 7658 7075 7516 9153 6877 4330 1354 869 171 603 [37,] 8128 8317 8054 8567 8973 5915 934 615 2417 1324 583 1088 [38,] 7899 7809 10113 7945 6072 1921 5588 4066 3186 1525 1400 1259 [39,] 9079 4202 5823 4733 2821 5716 9686 9352 7497 3693 1736 1694 [40,] 4137 2616 3903 3432 1505 5865 11736 9052 8136 6305 4828 1072 [41,] 4444 2696 2014 1488 3259 8539 9826 7953 7847 5638 4501 2767 [42,] 4386 2831 1268 1177 3899 9238 9200 6948 6237 6613 6583 6959 [43,] 822 1022 289 1885 5821 6910 6193 7571 7375 6306 7661 8090 [44,] 1012 1229 2174 4217 6326 5622 6111 6208 6895 7800 9336 9274 [45,] 2640 3381 4240 4943 4076 4072 3542 5775 8517 8544 5289 3427 [46,] 2566 2521 2326 1948 2499 2541 4719 5628 5953 3681 1647 653 [47,] 939 911 855 739 1423 1835 1601 1572 1453 1543 2097 890 [48,] 376 386 256 195 774 1140 1540 1509 1833 2993 3472 1199 [49,] 326 473 811 546 643 847 1286 1730 1358 849 695 724 [50,] 293 212 290 337 348 475 720 814 567 890 901 640 [51,] 426 113 126 115 223 95 281 503 777 708 525 332 [52,] 549 152 275 243 143 130 287 90 328 425 215 121 [53,] 260 167 178 131 86 55 166 77 254 272 203 42 [54,] 133 116 133 128 151 52 153 55 192 297 154 92 [55,] 124 159 138 110 128 46 132 54 145 231 150 96 [56,] 169 63 78 111 77 62 91 12 151 166 128 75 [57,] 68 112 106 121 79 85 128 86 135 193 163 47 [58,] 117 60 71 40 77 55 70 76 121 125 124 40 [59,] 79 53 82 41 30 82 89 86 118 138 165 39 [60,] 51 82 46 94 80 23 44 74 106 148 86 48 [61,] 98 82 45 59 75 22 48 70 110 129 169 98 [62,] 52 94 93 46 84 44 54 76 95 113 56 89 [63,] 29 67 63 41 28 39 58 70 97 96 71 60 [64,] 90 47 73 33 57 85 62 55 80 0 0 0 [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49] [1,] 80 150 70 76 121 87 35 89 22 36 90 62 [2,] 44 70 93 70 88 91 51 60 36 32 98 104 [3,] 60 91 100 74 104 72 50 93 50 74 43 57 [4,] 122 101 59 117 138 62 43 93 81 23 73 81 [5,] 27 41 52 108 138 84 44 77 43 27 127 62 [6,] 75 97 69 66 112 26 18 74 66 92 113 68 [7,] 100 140 34 105 72 19 86 48 65 87 134 99 [8,] 126 106 90 73 121 55 93 104 31 80 150 113 [9,] 92 85 30 71 124 36 40 45 81 74 130 104 [10,] 114 129 70 83 183 71 68 129 116 73 141 90 [11,] 101 99 56 113 144 45 84 118 65 118 141 94 [12,] 156 103 58 103 79 60 127 119 65 122 205 108 [13,] 197 168 62 93 136 21 133 119 100 151 217 123 [14,] 188 172 59 78 155 91 146 113 95 152 256 156 [15,] 212 167 19 63 209 47 163 137 118 138 231 101 [16,] 335 202 59 88 243 103 259 247 117 181 243 153 [17,] 829 330 168 383 696 394 353 116 110 301 416 199 [18,] 351 364 279 206 333 921 1367 1133 855 718 783 515 [19,] 592 448 199 283 270 147 743 1310 1435 1208 640 267 [20,] 1139 1534 388 659 598 407 1229 1305 881 736 607 709 [21,] 3070 3791 3391 1853 1212 2173 2807 2050 463 150 392 362 [22,] 3670 3266 4699 2584 2354 1357 1872 1682 329 613 731 550 [23,] 6932 2770 3754 1896 1018 1448 928 183 1255 2005 1302 776 [24,] 577 693 954 271 1202 1168 899 1794 2754 3421 1748 607 [25,] 896 1201 1355 661 345 764 2589 4751 5009 4193 1987 1487 [26,] 2121 1184 872 306 1035 1152 4771 6320 6674 5685 4342 1314 [27,] 951 891 623 283 690 1721 4920 5735 5873 5598 5024 1081 [28,] 947 785 690 560 397 1025 1039 3457 5033 5558 4536 1730 [29,] 346 447 404 1024 1083 1096 564 1032 1223 1817 2214 1695 [30,] 696 232 156 535 1005 554 1081 808 504 550 820 638 [31,] 348 268 128 367 249 156 499 246 289 457 320 198 [32,] 180 55 198 159 494 69 434 235 134 302 157 302 [33,] 103 107 177 262 377 340 273 255 137 276 461 292 [34,] 259 17 143 87 435 36 383 73 153 180 311 343 [35,] 420 255 167 386 139 222 268 412 313 524 296 224 [36,] 789 683 723 411 591 156 405 132 376 177 513 368 [37,] 927 833 693 562 335 730 406 573 193 783 923 343 [38,] 1394 2030 1467 515 503 628 493 1030 760 930 2220 1621 [39,] 1876 1518 1116 280 140 650 494 1700 5453 6892 6344 3036 [40,] 2488 1483 183 143 1103 621 1494 6799 7809 7491 6613 3881 [41,] 1991 1041 320 786 545 800 1587 7064 7261 7061 6874 930 [42,] 6145 2193 1768 895 2383 419 910 3442 5809 5148 3238 935 [43,] 5785 961 2477 1676 2286 1764 1188 1436 2235 2622 1711 1166 [44,] 7981 6709 4469 3428 1932 2720 1397 1741 763 1661 1093 731 [45,] 3594 4192 5705 4403 3103 3237 1912 2701 1757 478 616 426 [46,] 1833 4581 4179 2846 748 1923 3102 3558 2453 619 448 319 [47,] 554 1528 677 680 338 178 436 1141 1362 1160 1083 1019 [48,] 445 892 380 449 308 229 276 1199 2049 1972 1267 911 [49,] 581 860 303 417 428 515 925 1082 869 924 705 463 [50,] 288 77 64 152 586 575 425 484 225 274 297 227 [51,] 457 311 183 202 234 253 191 292 159 196 118 100 [52,] 186 252 178 146 137 178 164 258 116 154 190 222 [53,] 180 238 122 182 144 165 151 209 131 154 109 93 [54,] 137 183 187 143 68 132 79 165 112 88 58 80 [55,] 153 227 111 91 173 96 98 191 58 33 74 85 [56,] 107 166 119 116 117 102 91 91 83 46 45 76 [57,] 82 156 90 85 113 97 81 113 125 40 43 83 [58,] 114 173 77 70 93 122 68 92 106 92 30 71 [59,] 115 111 109 118 81 66 109 116 43 62 33 74 [60,] 61 162 132 106 68 90 39 140 60 19 59 81 [61,] 25 118 83 108 56 56 41 105 114 38 43 93 [62,] 100 103 87 93 101 69 64 121 91 48 62 54 [63,] 77 146 84 103 92 133 79 134 115 63 39 61 [64,] 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,] 71 43 60 84 53 36 28 20 31 117 70 134 [2,] 49 37 96 55 17 28 57 25 77 132 74 149 [3,] 84 61 92 32 83 34 51 93 46 63 97 146 [4,] 80 43 105 77 65 63 56 83 48 95 50 106 [5,] 117 83 109 49 60 56 69 47 42 83 124 132 [6,] 109 53 124 46 54 44 31 47 70 124 99 152 [7,] 99 65 60 37 57 53 65 91 54 81 98 127 [8,] 106 84 161 63 95 76 41 64 40 152 104 91 [9,] 116 26 110 94 82 70 48 68 86 117 123 155 [10,] 71 43 93 57 53 26 41 59 39 120 47 118 [11,] 68 30 65 90 65 54 70 66 48 83 97 102 [12,] 113 45 78 49 95 69 32 73 78 147 102 90 [13,] 75 20 56 81 69 60 29 60 74 149 91 132 [14,] 111 38 77 70 81 44 45 130 64 85 131 113 [15,] 58 23 69 86 45 81 54 111 61 98 62 113 [16,] 134 108 140 71 47 38 37 56 127 82 110 131 [17,] 86 106 94 30 78 77 40 81 99 156 167 191 [18,] 139 220 71 212 279 258 245 386 160 391 282 347 [19,] 224 343 205 398 158 351 334 365 179 91 228 300 [20,] 583 565 216 238 154 133 107 420 134 171 109 77 [21,] 554 515 511 340 274 75 177 134 117 201 179 423 [22,] 277 160 278 97 101 68 130 118 135 251 247 394 [23,] 255 386 303 386 351 148 217 228 195 195 175 414 [24,] 425 139 413 129 230 102 97 83 250 543 597 921 [25,] 612 205 92 182 248 82 144 88 199 381 649 979 [26,] 1034 460 293 173 204 250 274 570 709 1056 1516 1584 [27,] 1477 722 369 246 148 563 406 318 462 898 1438 1687 [28,] 1516 697 548 151 144 130 265 177 96 616 945 1319 [29,] 1132 925 493 358 245 292 375 310 84 355 468 395 [30,] 261 435 282 575 381 455 231 247 272 83 172 166 [31,] 213 252 267 310 318 403 423 148 232 216 63 101 [32,] 226 289 283 213 229 225 218 278 255 365 343 294 [33,] 159 363 403 304 403 340 509 791 698 676 652 493 [34,] 133 350 215 599 410 663 614 826 958 1066 902 1043 [35,] 370 189 277 347 288 474 317 307 302 421 181 288 [36,] 201 140 89 279 221 202 166 308 175 107 325 291 [37,] 793 547 315 266 121 217 265 190 74 207 123 201 [38,] 1296 254 238 205 192 173 80 229 365 267 217 251 [39,] 2259 652 718 553 491 346 341 339 152 296 571 997 [40,] 2857 1221 909 607 527 414 502 221 311 621 832 1230 [41,] 2959 1026 470 246 279 218 233 159 615 1493 1749 1886 [42,] 667 166 249 126 295 225 320 344 439 381 233 552 [43,] 443 298 194 46 155 137 154 208 189 197 349 601 [44,] 301 291 254 138 225 104 104 67 159 357 393 416 [45,] 358 237 263 86 210 92 93 197 174 201 258 162 [46,] 433 438 339 250 97 146 115 240 157 228 110 44 [47,] 1037 727 556 610 548 508 535 360 592 374 205 325 [48,] 728 358 596 308 177 367 343 550 563 687 640 560 [49,] 439 137 197 183 65 160 62 214 282 441 436 326 [50,] 282 244 159 89 138 128 103 125 74 93 82 152 [51,] 57 140 133 78 89 119 79 116 77 111 70 174 [52,] 195 133 94 42 47 65 45 78 44 95 85 127 [53,] 107 58 137 28 38 59 32 26 63 122 34 96 [54,] 117 49 90 50 35 64 72 32 56 167 40 94 [55,] 96 24 112 38 25 31 37 39 62 114 64 117 [56,] 97 53 115 54 31 62 34 64 68 130 66 147 [57,] 71 64 117 36 21 46 30 53 32 103 47 91 [58,] 128 86 96 91 36 54 49 51 39 103 83 126 [59,] 116 59 144 67 35 50 84 26 56 102 62 116 [60,] 111 43 150 126 43 8 60 36 88 87 41 108 [61,] 110 70 65 75 27 57 56 77 41 147 66 146 [62,] 121 48 115 52 21 16 21 39 49 38 87 138 [63,] 110 42 59 56 58 32 28 49 14 108 74 121 [64,] 0 0 0 0 0 0 0 0 0 0 0 0 [,62] [,63] [,64] [1,] 123 85 0 [2,] 78 64 0 [3,] 62 84 0 [4,] 70 48 0 [5,] 81 106 0 [6,] 108 54 0 [7,] 110 125 0 [8,] 104 55 0 [9,] 120 86 0 [10,] 85 62 0 [11,] 87 77 0 [12,] 105 93 0 [13,] 101 114 0 [14,] 106 130 0 [15,] 103 94 0 [16,] 113 70 0 [17,] 156 102 0 [18,] 254 239 0 [19,] 278 209 0 [20,] 302 345 0 [21,] 74 131 0 [22,] 46 62 0 [23,] 278 308 0 [24,] 453 233 0 [25,] 839 655 0 [26,] 1011 471 0 [27,] 1224 226 0 [28,] 1334 1130 0 [29,] 549 485 0 [30,] 289 138 0 [31,] 224 267 0 [32,] 227 218 0 [33,] 502 195 0 [34,] 673 265 0 [35,] 254 420 415 [36,] 161 446 554 [37,] 212 63 173 [38,] 625 563 501 [39,] 717 1225 585 [40,] 1916 1263 398 [41,] 1979 1476 571 [42,] 1230 1077 638 [43,] 703 162 443 [44,] 198 170 325 [45,] 150 123 131 [46,] 443 299 170 [47,] 420 400 336 [48,] 470 396 548 [49,] 96 276 263 [50,] 72 103 95 [51,] 107 134 185 [52,] 84 34 129 [53,] 119 110 135 [54,] 123 67 170 [55,] 104 121 146 [56,] 117 61 134 [57,] 80 56 132 [58,] 100 89 113 [59,] 96 107 104 [60,] 91 101 151 [61,] 54 45 175 [62,] 93 81 138 [63,] 98 106 117 [64,] 0 0 0 , , 4 [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [1,] 0 0 0 0 0 0 0 0 0 0 0 0 0 [2,] 93 133 46 43 117 114 101 75 51 81 131 62 59 [3,] 92 122 42 45 86 60 159 116 50 47 140 112 70 [4,] 140 103 50 61 93 99 127 121 40 77 122 30 29 [5,] 121 144 25 35 72 93 112 50 31 78 65 45 38 [6,] 63 155 63 34 79 96 124 51 60 79 28 76 67 [7,] 108 101 42 20 58 92 96 41 43 66 32 81 33 [8,] 126 90 27 43 104 93 142 35 44 101 92 111 72 [9,] 71 152 42 40 72 40 92 99 80 77 48 132 51 [10,] 94 147 43 54 98 57 147 88 40 84 96 136 58 [11,] 108 179 66 39 59 85 111 82 35 106 58 122 84 [12,] 46 64 38 54 54 49 119 111 36 106 62 132 67 [13,] 84 123 42 24 48 34 113 116 27 72 63 116 53 [14,] 74 137 56 55 85 34 100 40 75 55 27 117 31 [15,] 112 101 35 71 112 67 79 114 69 151 43 161 81 [16,] 73 124 23 28 34 33 72 131 62 130 93 123 46 [17,] 108 175 106 58 59 50 171 108 71 154 116 174 71 [18,] 160 59 115 110 96 45 45 95 77 199 104 267 131 [19,] 454 296 191 120 93 93 164 148 143 216 80 286 217 [20,] 378 225 226 129 102 177 163 105 194 406 632 629 1220 [21,] 307 405 397 276 241 207 502 144 348 439 742 468 421 [22,] 523 583 534 392 267 56 131 800 879 673 322 385 416 [23,] 229 319 289 471 213 398 747 1354 1388 726 276 366 2796 [24,] 605 252 466 309 693 651 1044 1277 438 250 612 3174 2533 [25,] 268 612 369 635 883 825 1202 896 117 566 2395 3053 1111 [26,] 306 579 554 908 920 1379 1317 663 566 1573 3055 2415 4345 [27,] 375 265 825 879 1106 964 820 790 663 3040 2429 2898 6621 [28,] 352 258 664 982 1300 520 528 803 2121 2824 4256 6162 5361 [29,] 467 807 923 1078 1065 498 622 698 2954 2175 5451 8576 9061 [30,] 187 255 736 894 805 547 525 667 2306 1071 3532 8655 9351 [31,] 404 662 1119 1341 805 301 358 574 682 2018 3991 7496 10100 [32,] 219 756 1511 1157 311 239 138 415 915 1771 4460 6849 10755 [33,] 427 706 944 735 402 132 370 359 1217 2557 4418 9026 11034 [34,] 366 714 1170 761 278 273 153 184 621 4354 1770 7814 11162 [35,] 0 475 1113 974 374 168 249 298 1302 2876 3778 8371 11678 [36,] 0 411 738 1178 898 438 420 787 2155 909 2467 7205 10750 [37,] 0 298 542 1117 1527 481 198 446 1510 1664 3489 7888 8279 [38,] 0 410 562 906 1277 418 249 391 1989 2649 3793 7718 8723 [39,] 0 580 382 671 1194 399 179 135 962 1678 3514 5683 5698 [40,] 0 123 128 280 524 995 417 586 769 2014 3282 7613 5904 [41,] 0 278 62 161 391 856 973 397 654 1896 3041 4595 8620 [42,] 0 244 95 173 210 242 411 310 496 903 2146 2485 5547 [43,] 0 51 150 179 229 116 287 645 252 674 1398 1741 1926 [44,] 0 245 123 183 167 32 210 843 844 907 1262 916 1452 [45,] 0 282 265 321 235 190 123 241 422 513 966 676 550 [46,] 0 521 357 203 163 149 190 255 260 484 865 1273 1318 [47,] 0 319 164 229 171 123 239 308 151 344 118 253 1635 [48,] 0 95 190 90 153 104 221 79 148 119 157 238 588 [49,] 0 75 90 95 62 111 156 115 152 217 71 117 364 [50,] 0 91 137 43 24 102 171 91 181 140 62 73 166 [51,] 0 205 133 130 13 148 115 79 138 80 90 91 87 [52,] 0 143 67 144 103 126 144 67 82 88 158 54 161 [53,] 0 142 52 48 77 102 145 127 70 57 135 82 69 [54,] 0 151 58 30 50 40 152 104 103 62 122 55 101 [55,] 0 134 70 57 94 136 133 94 61 45 108 133 99 [56,] 0 149 26 25 57 97 135 73 79 25 96 54 121 [57,] 0 90 60 34 67 109 164 100 41 63 108 72 118 [58,] 0 113 108 67 78 125 142 49 89 36 122 56 141 [59,] 0 143 74 35 35 108 191 74 59 61 98 102 60 [60,] 0 161 35 104 102 109 115 65 25 49 59 54 66 [61,] 0 148 53 45 35 133 106 20 27 26 109 47 56 [62,] 0 164 45 58 29 90 145 82 25 37 125 58 53 [63,] 0 191 72 65 72 143 127 93 45 36 78 70 77 [64,] 0 181 67 62 64 68 115 81 61 68 116 67 114 [,14] [,15] [,16] 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10189 9250 [37,] 9675 9524 10185 9777 10020 9951 9908 9395 9640 9627 10201 9168 [38,] 9023 9421 9096 10293 9889 9533 9583 9984 9505 9348 9333 10033 [39,] 7608 9526 10013 9598 9739 9720 9226 8529 8956 8038 8011 8738 [40,] 5775 6111 7893 9154 9460 8940 8504 9828 8445 9012 8193 8194 [41,] 7984 7600 5693 5762 8532 10800 8131 8585 8186 9005 8271 7982 [42,] 8349 8268 8404 7023 5371 5879 7970 9780 8729 8179 7434 6463 [43,] 4559 6935 9094 9239 8908 7076 8466 8429 6428 4727 4123 2917 [44,] 3384 4616 6073 7025 8263 8847 6708 4327 2799 1928 1819 569 [45,] 2178 3461 4578 4286 3763 4939 2809 1947 1229 1084 739 896 [46,] 1335 2016 1993 921 3707 2141 1135 1492 334 733 573 2241 [47,] 1618 1425 1155 1038 1499 1135 625 682 1004 1712 1728 1866 [48,] 1067 904 1174 1686 939 568 1059 914 1345 1433 2198 2022 [49,] 395 738 1639 1623 945 991 778 493 466 289 879 1654 [50,] 223 203 412 807 1186 515 232 785 189 362 566 601 [51,] 170 175 174 212 443 823 838 640 250 93 419 912 [52,] 149 98 51 163 277 430 867 527 492 165 315 258 [53,] 149 117 88 52 170 235 437 114 286 102 163 126 [54,] 176 131 53 75 179 225 351 59 211 78 183 143 [55,] 120 106 24 69 145 152 247 55 188 88 113 100 [56,] 137 92 74 59 138 150 175 34 180 92 111 153 [57,] 168 96 64 92 141 112 194 57 154 102 88 59 [58,] 141 137 46 86 94 104 180 42 155 121 75 128 [59,] 73 84 44 94 157 137 146 53 124 134 80 73 [60,] 110 39 49 94 170 89 148 29 167 80 89 91 [61,] 68 24 36 68 133 121 180 73 101 74 57 100 [62,] 88 73 84 122 101 69 104 74 90 50 70 91 [63,] 100 66 54 84 121 40 73 16 74 55 44 131 [64,] 121 78 74 29 82 59 75 56 65 39 26 36 [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37] [1,] 0 0 0 0 0 0 0 0 47 97 45 62 [2,] 69 85 83 85 93 63 18 111 64 66 80 78 [3,] 39 37 87 58 86 42 85 110 73 80 68 32 [4,] 49 61 95 29 90 99 107 72 80 104 120 58 [5,] 45 43 46 18 148 62 124 60 84 75 103 63 [6,] 65 48 62 73 95 105 65 90 60 64 84 104 [7,] 33 45 76 53 121 132 81 105 87 46 44 98 [8,] 73 34 40 58 163 73 84 105 95 108 63 60 [9,] 84 41 50 74 163 113 145 96 103 34 90 92 [10,] 116 64 77 38 159 106 144 147 98 113 112 96 [11,] 92 50 48 55 181 126 169 142 121 71 97 120 [12,] 115 27 70 91 175 142 175 127 157 147 93 187 [13,] 150 72 88 65 242 176 262 226 241 108 83 145 [14,] 90 75 19 122 284 208 236 247 285 149 109 172 [15,] 137 104 63 169 396 277 419 337 399 212 137 139 [16,] 151 85 256 294 676 1023 1296 949 685 382 238 145 [17,] 137 266 382 670 251 715 1321 959 1255 697 134 147 [18,] 661 699 907 1219 1815 2201 2735 2180 1303 466 395 971 [19,] 569 611 654 771 892 790 1594 2399 2509 2261 1519 1045 [20,] 2475 2190 2013 1592 2264 1853 1577 1511 432 2583 1666 1533 [21,] 3072 3445 3546 4287 4591 5394 6275 5519 5682 5173 4055 2893 [22,] 2887 3574 4275 3879 4335 5416 5827 6537 6987 6647 5278 3412 [23,] 708 1412 3147 5786 6561 5374 5242 5651 5389 6030 5081 4499 [24,] 1380 568 1229 3020 6543 6452 6085 5522 5252 4572 4330 3366 [25,] 1614 903 676 930 4405 8100 7777 6130 4989 4319 2334 353 [26,] 5059 3727 1655 1523 3132 6321 7536 5838 4698 2575 592 1814 [27,] 6945 5994 4366 1340 2582 4803 7244 5197 2385 632 1852 817 [28,] 7206 7299 5523 2743 1493 2925 4249 2386 990 1210 737 1008 [29,] 8062 7814 7194 5284 2927 3311 1366 831 480 1154 1043 1266 [30,] 8689 7425 6984 6234 6053 3388 464 74 223 749 633 502 [31,] 7615 8057 7623 6384 3528 3162 1675 258 257 536 78 302 [32,] 8442 7731 7595 6996 5068 2071 2236 257 162 329 54 283 [33,] 7569 8013 7358 6599 5744 3113 1488 1847 971 1141 821 493 [34,] 8328 8515 6606 7336 4927 3503 1723 2644 1068 757 804 566 [35,] 8565 8374 7122 7242 7576 4481 3332 2800 626 352 481 807 [36,] 8294 7953 8289 7949 7338 4715 501 1163 1529 1095 683 165 [37,] 8811 8357 7010 7160 7047 6150 3280 2131 1831 1326 594 338 [38,] 9391 8859 7928 7821 7110 7817 6514 2721 2572 3853 1002 569 [39,] 9038 7564 6605 5544 5379 6849 6733 4887 3719 4241 2702 531 [40,] 8895 7084 4535 2354 4129 8412 8134 5440 5124 3756 1892 2926 [41,] 6795 4837 2316 1374 5002 8488 7413 6292 5945 4972 4147 1152 [42,] 5710 4021 2642 4058 6840 7758 6498 6464 5715 5724 4577 3283 [43,] 1644 2684 3652 5637 6998 6638 6910 6312 6404 5589 5644 5478 [44,] 1218 2858 4658 6157 6525 6419 6365 6028 5282 5799 4781 4240 [45,] 2783 5014 6545 6282 5687 5807 6177 5846 5225 4651 2535 1879 [46,] 3981 4675 4472 4587 5517 5988 6293 6081 4980 1793 419 2261 [47,] 2374 3386 4430 4663 4838 5382 5506 5022 2807 1786 2082 1212 [48,] 1332 2457 3576 3991 3767 4372 4510 4145 2924 2731 2303 1519 [49,] 1099 1163 900 1760 2267 2724 2571 2390 1837 1570 1239 151 [50,] 997 1308 951 409 368 584 784 1488 3614 2970 640 900 [51,] 1073 903 447 254 325 345 207 282 250 246 261 362 [52,] 750 720 103 374 602 504 154 143 302 269 234 199 [53,] 379 428 218 164 115 117 114 58 230 180 163 133 [54,] 285 301 156 167 61 67 66 107 167 109 48 119 [55,] 234 253 73 77 55 66 71 50 129 109 95 106 [56,] 188 182 62 88 49 91 107 35 112 83 116 146 [57,] 167 148 77 71 41 67 85 89 100 105 68 135 [58,] 122 151 73 89 36 60 29 57 106 44 48 98 [59,] 144 131 94 54 44 13 58 24 110 56 57 60 [60,] 159 143 87 80 87 16 46 23 23 94 60 49 [61,] 167 109 73 84 59 39 32 25 92 103 41 81 [62,] 102 124 100 43 68 61 35 16 79 52 70 51 [63,] 87 83 61 38 30 36 53 89 91 78 56 63 [64,] 95 82 76 55 16 38 57 25 0 0 0 0 [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49] [1,] 67 41 30 25 86 113 58 102 109 109 93 114 [2,] 106 67 105 32 109 124 71 91 142 85 97 74 [3,] 77 78 51 37 109 100 56 93 57 65 101 83 [4,] 70 119 48 86 137 104 42 122 65 48 99 80 [5,] 87 54 52 61 119 125 48 63 58 47 93 126 [6,] 108 95 69 20 94 134 59 93 72 63 75 80 [7,] 102 70 92 54 114 140 131 113 93 24 18 98 [8,] 94 139 85 99 115 100 59 110 47 96 56 110 [9,] 145 141 80 65 59 142 42 52 46 66 43 77 [10,] 126 170 127 61 99 157 78 92 40 122 40 136 [11,] 104 73 76 98 94 162 113 90 45 62 38 89 [12,] 203 224 64 95 110 198 111 110 103 84 46 75 [13,] 216 158 142 77 144 226 140 80 139 131 82 104 [14,] 235 231 132 19 81 241 137 96 141 85 61 128 [15,] 233 265 150 90 126 233 104 111 111 107 71 163 [16,] 293 289 220 103 83 394 319 98 113 155 113 157 [17,] 218 421 87 260 518 752 551 212 286 296 221 242 [18,] 377 416 279 144 411 631 919 1353 1043 688 485 342 [19,] 210 492 311 123 332 442 912 1311 1163 629 435 141 [20,] 850 2217 1239 517 857 981 1783 1044 368 351 491 222 [21,] 2575 3033 4242 2066 1874 2619 2187 1204 598 237 582 283 [22,] 2154 1828 2821 2704 3308 2900 3577 1876 399 428 427 881 [23,] 6563 4609 1723 2170 3334 2270 2021 1910 1977 1729 1793 2467 [24,] 3443 3033 572 928 1585 611 743 2083 2962 4777 5592 6097 [25,] 579 1473 995 1571 1108 688 2747 5543 6935 6086 9049 7385 [26,] 1088 2205 779 615 844 1213 4509 7079 7431 6459 9491 9605 [27,] 861 1781 2541 2739 2824 3805 4549 6373 6462 6123 8055 8765 [28,] 4200 2577 2251 1735 1499 1219 1229 4102 5397 4394 6065 4576 [29,] 543 577 199 498 948 1255 971 682 915 1300 1376 485 [30,] 518 302 293 380 695 636 799 79 472 1050 974 594 [31,] 372 325 158 96 315 389 158 572 226 444 330 231 [32,] 374 270 258 288 486 242 364 415 352 750 390 690 [33,] 883 144 503 725 680 566 361 862 270 624 324 581 [34,] 333 515 190 125 538 531 950 288 636 476 602 474 [35,] 180 405 594 641 281 109 231 205 619 134 517 117 [36,] 383 272 136 359 401 71 716 145 602 132 502 621 [37,] 267 290 174 440 773 103 434 415 488 413 519 339 [38,] 264 358 653 194 1026 911 707 736 973 862 1558 1850 [39,] 465 1258 2526 2694 3777 3089 2393 1917 4126 5623 4778 6357 [40,] 1642 779 2100 1999 2271 3558 3838 4891 7285 7946 7755 8753 [41,] 841 1399 1371 577 125 611 1432 5135 8906 7464 7234 9205 [42,] 2226 559 855 1166 755 615 183 2264 6026 4484 6187 10172 [43,] 2873 2238 1435 1507 1220 163 928 1036 1646 1885 1929 5478 [44,] 3591 2095 1391 2938 3030 2407 914 459 1343 1557 1486 730 [45,] 3870 3888 3838 3667 4247 3189 1925 2615 2165 913 592 246 [46,] 1114 2631 4890 3592 2260 2748 2449 1615 969 287 321 136 [47,] 1827 2231 953 1282 1067 1011 830 445 744 493 364 178 [48,] 864 504 628 491 578 304 316 557 431 493 129 186 [49,] 380 381 527 720 224 978 1410 727 233 189 115 93 [50,] 579 376 617 435 386 260 217 294 185 60 177 74 [51,] 135 90 215 172 190 186 246 197 189 61 198 52 [52,] 109 111 221 43 167 143 79 158 100 44 216 117 [53,] 69 25 152 76 181 112 77 86 62 77 117 82 [54,] 18 71 139 52 165 66 121 51 56 30 163 98 [55,] 96 53 119 67 194 114 103 82 43 66 106 37 [56,] 57 47 109 89 231 40 118 97 26 72 108 100 [57,] 45 69 104 44 149 94 107 88 27 96 117 64 [58,] 62 31 109 34 160 55 85 80 43 70 121 49 [59,] 62 46 91 77 85 59 18 109 21 26 125 108 [60,] 74 50 120 39 177 122 82 105 21 55 111 68 [61,] 69 40 59 24 136 59 60 57 44 56 105 68 [62,] 64 45 45 73 137 151 49 94 76 75 77 55 [63,] 92 61 108 37 40 69 79 37 121 83 113 82 [64,] 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,] 31 141 99 64 126 123 118 139 127 57 86 32 [2,] 63 96 84 109 125 158 90 103 166 89 70 45 [3,] 71 90 101 63 126 125 129 127 159 74 28 59 [4,] 52 81 88 98 122 79 97 92 145 66 32 43 [5,] 23 103 102 103 104 111 141 106 151 88 59 41 [6,] 102 99 93 87 98 116 140 72 191 136 26 97 [7,] 93 100 112 45 132 83 146 87 162 78 43 52 [8,] 57 140 116 78 123 146 154 98 130 144 89 40 [9,] 51 100 164 112 121 115 152 95 174 125 73 47 [10,] 104 108 103 38 170 157 113 82 153 113 97 80 [11,] 102 98 105 72 122 168 124 152 165 117 61 30 [12,] 82 110 121 89 131 125 138 150 177 122 56 82 [13,] 92 59 88 67 156 159 97 157 143 136 58 28 [14,] 94 126 98 71 146 111 113 145 133 164 82 44 [15,] 97 80 139 117 152 98 109 147 151 54 36 86 [16,] 164 64 154 82 146 92 119 174 229 136 68 78 [17,] 231 92 40 156 138 86 161 121 192 198 115 59 [18,] 232 147 116 263 359 340 266 150 256 346 141 314 [19,] 147 365 81 189 242 218 451 406 353 121 383 277 [20,] 135 286 133 189 209 126 49 147 119 173 79 253 [21,] 248 194 225 126 163 172 71 156 277 220 176 288 [22,] 252 121 140 121 229 171 302 244 239 317 268 217 [23,] 383 342 244 298 95 196 275 191 135 264 359 347 [24,] 1944 928 1381 676 746 241 112 464 222 268 596 867 [25,] 2131 1408 1309 959 1353 963 581 656 405 177 712 1552 [26,] 4115 2221 1712 842 726 857 454 831 835 1057 1767 2357 [27,] 5596 2390 1633 770 1102 630 459 1050 714 648 1150 1268 [28,] 3209 1198 1182 627 443 657 409 606 244 376 623 1072 [29,] 175 244 293 519 358 393 207 403 353 310 651 1010 [30,] 479 354 511 261 395 388 550 215 474 277 140 74 [31,] 132 207 308 396 453 301 395 420 383 372 398 301 [32,] 456 502 363 334 484 294 659 216 365 162 333 212 [33,] 380 744 583 944 212 900 137 960 546 699 391 536 [34,] 611 563 860 760 226 753 352 793 460 786 329 624 [35,] 633 511 723 666 195 496 401 432 948 268 741 276 [36,] 208 524 323 221 464 397 369 346 202 254 163 497 [37,] 553 162 440 389 319 365 397 271 569 248 381 447 [38,] 886 465 676 414 306 634 383 634 166 167 332 538 [39,] 5843 1790 1135 703 938 557 536 544 296 348 540 556 [40,] 9727 4100 2422 1246 965 1200 353 769 691 565 737 486 [41,] 10133 4912 2459 1251 1395 486 491 424 258 508 490 668 [42,] 8876 3888 2485 1373 757 676 222 327 193 204 90 224 [43,] 3345 1736 623 259 380 300 283 264 582 367 125 266 [44,] 867 823 267 411 294 81 59 179 331 304 273 338 [45,] 572 464 69 308 180 84 91 160 284 456 364 122 [46,] 239 243 33 146 168 79 42 107 213 252 302 323 [47,] 371 72 75 107 110 188 346 143 304 195 275 384 [48,] 218 220 127 148 207 255 286 288 358 608 401 682 [49,] 186 69 98 307 366 274 311 158 279 683 434 496 [50,] 55 184 333 379 63 179 215 47 145 265 61 78 [51,] 31 68 207 179 177 107 109 117 115 112 115 44 [52,] 88 129 130 54 124 126 91 60 116 46 67 13 [53,] 64 117 62 56 85 104 90 116 138 44 30 16 [54,] 57 96 60 24 87 142 116 88 141 45 53 71 [55,] 54 103 139 49 85 108 176 120 157 107 62 57 [56,] 86 116 126 77 91 110 111 100 151 77 49 62 [57,] 39 108 45 47 95 105 117 117 160 114 81 50 [58,] 69 102 52 48 113 109 87 118 173 68 102 38 [59,] 34 100 104 51 110 117 145 99 171 106 39 31 [60,] 16 151 130 68 58 147 148 122 133 100 54 57 [61,] 29 106 89 84 116 115 85 90 143 79 57 83 [62,] 34 109 125 77 161 139 97 85 177 114 79 64 [63,] 36 117 102 59 109 94 98 80 120 85 42 66 [64,] 0 0 0 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