52. N-Queens II

题目

The n-queens puzzle is the problem of placing n queens on an n×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:

Input: 4
Output: 2
Explanation: There are two distinct solutions to the 4-queens puzzle as shown below.
[
 [".Q..",  // Solution 1
  "...Q",
  "Q...",
  "..Q."],

 ["..Q.",  // Solution 2
  "Q...",
  "...Q",
  ".Q.."]
]

题目大意

给定一个整数 n，返回 n 皇后不同的解决方案的数量。

解题思路

• 这一题是第 51 题的加强版，在第 51 题的基础上累加记录解的个数即可。
• 这一题也可以暴力打表法，时间复杂度为 O(1)。