
| # |
Title |
Difficulty |
Topic |
| 52 |
N-Queens II |
Hard |
Backtracking |
Description
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:
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Input: 4 Output: [ [".Q..", // Solution 1 "...Q", "Q...", "..Q."],
["..Q.", // Solution 2 "Q...", "...Q", ".Q.."] ]
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Backtracking
LeetCode 51. N-Queens - 花花酱 刷题找工作 EP41视频里讲的很清晰。
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class { private int res = 0; private int size; public int totalNQueens(int n) { size = n; boolean[][] board = new boolean[n][n]; dfs(board, 0); return res; } public void dfs(boolean[][] board, int row) { if(row == size) { res++; return; } for(int j=0; j<size; j++) { if(isValid(board, row, j)) { board[row][j] = true; dfs(board, row+1); board[row][j] = false; } } } public boolean isValid(boolean[][] board, int row, int col) { for(int j=0; j<size; j++) { if(board[j][col]) return false; if(row+col-j >= 0 && row+col-j < size && board[row+col-j][j]) return false; if(row-col+j >= 0 && row-col+j < size && board[row-col+j][j]) return false; } return true; } }
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