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nqueen.cpp
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84 lines (63 loc) · 1.34 KB
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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; // backtrack
}
}
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;
}