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Beautiful Arrangement

Suppose you have n integers labeled 1 through n.

Suppose you have n integers labeled 1 through n. A permutation of those n integers perm (1-indexed) is considered a beautiful arrangement if for every i (1 <= i <= n), either of the following is true:

Given an integer n, return the number of the beautiful arrangements that you can construct.

Example 1

Input: n = 2

Output: 2

Explanation: The first beautiful arrangement is [1,2]: - perm[1] = 1 is divisible by i = 1 - perm[2] = 2 is divisible by i = 2 The second beautiful arrangement is [2,1]: - perm[1] = 2 is divisible by i = 1 - i = 2 is divisible by perm[2] = 1

Example 2

Input: n = 1

Output: 1

Constraints

  • 1 <= n <= 15

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