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N-Queens II

The n-queens puzzle is the problem of placing n queens on an n x n chessboard such that no two queens attack each other.

The n-queens puzzle is the problem of placing n queens on an n x n chessboard such that no two queens attack each other.

Given an integer n, return the number of distinct solutions to the n-queens puzzle.

Example 1

Input: n = 4

Output: 2

Explanation: There are two distinct solutions to the 4-queens puzzle as shown.

Example 2

Input: n = 1

Output: 1

Constraints

  • 1 <= n <= 9

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