Optimization is the process of choosing the "best" value among possible values. They are often formulated as questions on the minimization/maximization of functions, with or without constraints.

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Formulate as standard problem: Optimal cyclic permutations

How can we find cyclic permutations $\prod_i$ to be applied to each of corresponding $i$'th rows of a square matrix $X$ of size $n \times n$ such that a given sum of pairwise costs $\sum_{ij}C\left[\...