Efficient way of generating latin squares (or randomly permute numbers in matrix uniquely on both axes - using NumPy)

Question

For example, if there are 5 numbers 1, 2, 3, 4, 5

I want a random result like

[[ 2, 3, 1, 4, 5]
 [ 5, 1, 2, 3, 4]
 [ 3, 2, 4, 5, 1]
 [ 1, 4, 5, 2, 3]         


        

Answer 1

Can't type code from the phone, here's the pseudocode:

1. Create a matrix with one diamention more than tge target matrix(3 d)

2. Initialize the 25 elements with numbers from 1 to 5

3. Iterate over the 25 elements.

4. Choose a random value for the first element from the element list(which contains numbers 1 through 5)

5. Remove the randomly chosen value from all the elements in its row and column.

6. Repeat steps 4 and 5 for all the elements.