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    Latin Square

    Counts

    size | number of Latin squares
1 | 1
2 | 2
3 | 12
4 | 576
5 | 161280

    Example of a 6×6 Latin square

    1 | 2 | 3 | 4 | 5 | 6
3 | 1 | 2 | 5 | 6 | 4
4 | 6 | 1 | 2 | 3 | 5
5 | 4 | 6 | 3 | 2 | 1
6 | 3 | 5 | 1 | 4 | 2
2 | 5 | 4 | 6 | 1 | 3

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