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 all distinct solutions to the n-queens puzzle.

Each solution contains a distinct board configuration of the n-queens' placement, where 'Q' and '.' both indicate a queen and an empty space respectively.

For example,
There exist two distinct solutions to the 4-queens puzzle:

[
[".Q..", // Solution 1
"...Q",
"Q...",
"..Q."], ["..Q.", // Solution 2
"Q...",
"...Q",
".Q.."]
]

  

题解:

class Solution {
public:
void dfs(vector<vector<string>>& res, vector<string>& v, int n, vector<int>& pos, int row) {
if(row >= n) {
res.push_back(v);
return;
}
for(int col=; col<n; ++col) {
if (!isValid(pos, row, col)) {
continue;
}
v[row][col] = 'Q';
pos[row] = col;
dfs(res, v, n, pos, row + );
pos[row] = -;
v[row][col] = '.';
}
}
bool isValid(vector<int>& pos, int row, int col) {
for (int i = ; i < row; ++i) {
if (pos[i] == col || abs(row - i) == abs(col - pos[i])) {
return false;
}
}
return true;
}
vector<vector<string>> solveNQueens(int n) {
vector<vector<string>> res;
vector<string> v(n, string(n, '.'));
vector<int> pos(n, -);
dfs(res, v, n, pos, );
return res;
}
};

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