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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 7×7 Latin square

    1 | 2 | 3 | 4 | 5 | 6 | 7 4 | 7 | 6 | 1 | 2 | 3 | 5 6 | 4 | 5 | 7 | 3 | 2 | 1 2 | 6 | 1 | 5 | 4 | 7 | 3 3 | 1 | 7 | 2 | 6 | 5 | 4 7 | 5 | 2 | 3 | 1 | 4 | 6 5 | 3 | 4 | 6 | 7 | 1 | 2

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