Given an integer array nums of length n, which is a permutation of $[0, 1, \dots, n - 1]$.

For any permutation perm of $[0, 1, \dots, n - 1]$, its score is defined as:

$ ext{score}(perm) = \sum_{i = 0}^{n - 1} |perm[i] - nums[perm[(i + 1) \bmod n]}|$

Return the permutation perm that achieves the minimum score. If multiple permutations achieve the minimum score, return the lexicographically smallest permutation among them.

Constraints:

• $2 \leq n =$ nums.length $\leq 14$

• nums is a permutation of $[0, 1, 2, \dots, n - 1]$.

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