m = matrix(0, 100, 100)
g = expand.grid(20:80, 20:80)
m[g[,1], g[,2]] = rpois(nrow(g)^2, 7)
# Not quite what we want. Need to
# take account that we are adding this many
# values so it will change the mean
m[m == 0] = mean(m)
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