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leetcode51.cpp
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65 lines (48 loc) · 1.1 KB
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class Solution {
public:
bool issafe(vector<string>&board,int row,int col,int n){
//horizontal
for(int j=0;j<n;j++){
if(board[row][j]=='Q'){
return false;
}
}
//vertical
for(int i=0;i<n;i++){
if(board[i][col]=='Q'){
return false;
}
}
//left digonal
for(int i=row, j=col; i>=0&&j>=0;i--,j--){
if(board[i][j]=='Q'){
return false;
}
}
for(int i=row, j=col;i>=0&&j<n;i--,j++){
if(board[i][j]=='Q'){
return false;
}
}
return true;
}
void nQueens(vector<string> &board,int row,int n,vector<vector<string>>&ans){
//base case
if(row==n){
ans.push_back({board});
return ;
}
for(int j=0;j<n;j++){
if(issafe(board,row,j,n)){
board[row][j]='Q';
nQueens(board,row+1,n,ans);
board[row][j]='.';
}}
}
vector<vector<string>> solveNQueens(int n) {
vector<string>board(n,string(n,'.'));
vector<vector<string>>ans;
nQueens(board,0,n,ans);
return ans;
}
};