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construct/mc ortholatin

construct/mc ortholatin: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Construct a pair of orthogonal Latin squares of order 4: two 4x4 arrays X and Y with entries in 0..3 such that every row and every column of X is a permutation of 0..3, the same holds for Y, and the 16 ordered…

The task

Construct a pair of orthogonal Latin squares of order 4: two 4x4 arrays X and Y with entries in 0..3 such that every row and every column of X is a permutation of 0..3, the same holds for Y, and the 16 ordered pairs (X[i][j], Y[i][j]) are all distinct.

Part of amphora/MathConstructOptimize-Envs-harbor.