固定值不在列和行上重复 [英] Fixed values not repeated over column and row
问题描述
我想在R中创建一个矩阵，该矩阵具有一定数量的变量(例如1到10).这些变量应在行和列上随机分配，但BUT不应在任何一个中重复(因此，数字1应该在第1行中一次，在第1列中一次)！
I want to create a matrix in R with a set number of variables (e.g. 1 to 10). Those variables should be randomly assigned over rows and columns BUT should not be repeated in either (so number 1 should be once in row 1 and once in column 1)!
例如:
1,2,3,4,5,6,7,8,9,10
1,2,3,4,5,6,7,8,9,10
2,3,4,5,6,7,8,9,10,1
2,3,4,5,6,7,8,9,10,1
3,4,5,6,7,8,9,10,1,2
3,4,5,6,7,8,9,10,1,2
4,5,6,7,8,9,10,1,2,3
4,5,6,7,8,9,10,1,2,3
5,6,7,8,9,10,1,2,3,4
5,6,7,8,9,10,1,2,3,4
6,7,8,9,10,1,2,3,4,5
6,7,8,9,10,1,2,3,4,5
7,8,9,10,1,2,3,4,5,6
7,8,9,10,1,2,3,4,5,6
8,9,10,1,2,3,4,5,6,7
8,9,10,1,2,3,4,5,6,7
9,10,1,2,3,4,5,6,7,8
9,10,1,2,3,4,5,6,7,8
10,1,2,3,4,5,6,7,8,9
10,1,2,3,4,5,6,7,8,9
但是当然在那个例子中，数字是递增的，我希望它们是随机的.我尝试了简单的矩阵需求，但无法弄清楚该如何做.有人可以帮忙吗?提前致谢！
But of course in that example the numbers are ascending and I want them randomized. I tried simple matrix demands but I cannot figure out how to do this. Can anyone help? Thanks in advance!
推荐答案
除非我对这个问题有误解，否则创建此改组矩阵的方法要简单得多，没有任何循环或复杂的条件语句.
Unless I'm misunderstanding the problem, there's a much simpler way to create this shuffled matrix, without any loops or complicated conditional statements.
# number of rows and columns
n <- 10
# create ordered rows and columns
ordered.by.row <- matrix(1:n, n, n)
ordered.by.col <- matrix(1:n, n, n, byrow = T)
# offset the rows and columns relative to each other.
# no row or column has a repeated value, but the values are still ordered
offset <- (ordered.by.row + ordered.by.col) %% n + 1
# shuffle the columns, then shuffle the rows, this produces a randomized matrix
# 'shuffle.row' is the final, randomized matrix
set.seed(1222) # change this to change randomization
shuffle.col <- offset[,sample(1:n, n, replace = F)]
shuffle.row <- shuffle.col[sample(1:n, n, replace = F), ]
# verify solution
any(apply(shuffle.row, 1, function(r)any(duplicated(r)))) # FALSE
any(apply(shuffle.row, 2, function(r)any(duplicated(r)))) # FALSE
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] 1 10 6 9 2 8 3 5 7 4
[2,] 3 2 8 1 4 10 5 7 9 6
[3,] 7 6 2 5 8 4 9 1 3 10
[4,] 9 8 4 7 10 6 1 3 5 2
[5,] 10 9 5 8 1 7 2 4 6 3
[6,] 2 1 7 10 3 9 4 6 8 5
[7,] 8 7 3 6 9 5 10 2 4 1
[8,] 6 5 1 4 7 3 8 10 2 9
[9,] 5 4 10 3 6 2 7 9 1 8
[10,] 4 3 9 2 5 1 6 8 10 7
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