I need help with algorithm, which creates all Latin squares up to n=10. I am in the point, when i have created n! Latin squares and I have tried to permute rows and columns afterwards, so it gave me n!*n!*n! Latin squares, but according to wikipedia(https://en.wikipedia.org/wiki/Latin_square) this extension of n! Latin squares is wrong. Don't have anyone any idea how to get all possible Latin Squares?
Algorithm which creates all possible Latin squares
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Your effort is, alas, doomed. We still don't know a formula for calculating the number of Latin squares of size
n. However, someone poor soul did work it out forn=10. Whilst generating the squares is possible (you can always just generate all possibilities, and see if they're a latin square), you're going to getanswers (Wikipedia).
So, I hope you've got a big hard disk and a lot of time.