Question: An n n array filled with integers 1, 2, . . . , n is a latin square if each row and each column has

An n n array filled with integers 1, 2, . . . , n is a latin square if each row and each column has exactly one occurrence of each integer.

Write a gringo program to find an n n latin square that satisfies two additional properties: (1) the entry in row 1 and column 1 is n, and (2) for every row i and column j, the entries (i, j) and (j, i) are the same.

Find such a latin square for n = 8.

Turn in all programs and the documentation in a single zip file. The documentation must discuss all the components of the gringo programs. It must contain all the results, as well as a brief discussion of the results.

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