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nQUEEN.cpp
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nQUEEN.cpp
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#include<iostream>
using namespace std;
bool isSafe(int** arr, int x , int y, int n){
for(int row=0; row<x; row++){
if(arr[row][y]==1){
return false;
}
}
int row=x;
int col= y;
while(row>=0 && col>=0){
if(arr[row][col]==1){
return false;
}
row--;
col--;
}
row=x;
col= y;
while(row>=0 && col<n){
if(arr[row][col]==1){
return false;
}
row--;
col++;
}
return true;
}
bool nQueen(int** arr,int x, int n ){
if(x>=n){
return true;
}
for(int col=0 ; col<n; col++){
if(isSafe(arr, x, col, n)){
arr[x][col]=1;
if(nQueen(arr, x+1, n)){
return true;
}
arr[x][col]=0;
}
}
return false;
}
int main(){
int n;
cin>>n;
int** arr= new int*[n];
for(int i=0; i<n; i++){
arr[i]= new int[n];
for(int j=0; j<n; j++){
arr[i][j]= 0;
}
}
if(nQueen(arr, 0, n)){
for(int i=0; i<n; i++){
for(int j=0; j<n; j++){
cout<<arr[i][j]<<" ";
}
cout<<endl;
}
}
return 0;
}