题目:
代码(首刷看解析 2024年2月6日):
class Solution {
private:
vector<vector<string>> res;
void backtracking(int n, int row, vector<string>& chessboard) {
if (row == n) {
res.push_back(chessboard);
return;
}
for (int col = 0; col < n; ++col) {
if (isValid(row, col, n, chessboard)) {
chessboard[row][col] = 'Q';
backtracking(n, row + 1, chessboard);
chessboard[row][col] = '.';
}
}
return;
}
bool isValid(int row, int col, int n, vector<string>& chessboard) {
/*检查列*/
for (int i = 0; i <= row; ++i) {
if (chessboard[i][col] == 'Q') {
return false;
}
}
/*检查右上斜角*/
for (int i = row - 1, j = col + 1; i >=0 && j < n; --i, ++j) {
if(chessboard[i][j] == 'Q'){
return false;
}
}
/*检查左上斜角*/
for (int i = row - 1, j = col - 1; i >= 0 && j >= 0; --i, --j) {
if(chessboard[i][j] == 'Q'){
return false;
}
}
return true;
}
public:
vector<vector<string>> solveNQueens(int n) {
vector<string> chessboard(n, string(n, '.'));
backtracking(n, 0, chessboard);
return res;
}
};