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n-queen.cpp
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n-queen.cpp
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#include <iostream>
using namespace std;
bool isSafe(int board[][10],int i,int j,int n)
{
for(int row=0;row<i;row++)
{
if(board[row][j]==1)
{
return false;
}
}
//left diagnol
int x=i;
int y=j;
while(x>=0 && y>=0)
{
if(board[x][y]==1)
{
return false;
}
x--;
y--;
}
//right diagnol
x=i;
y=j;
while(x>=0 && y<n)
{
if(board[x][y]==1)
{
return false;
}
x--;
y++;
}
return true;
}
bool solveNqueen(int board[][10],int i,int n)
{
if(i==n)
{
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
if(board[i][j]==1)
{
cout<<"Q";
}
else{
cout<<"_";
}
}
cout<<endl;
}
cout<<endl;
return false;
}
for(int j=0;j<n;j++)
{
if(isSafe(board,i,j,n))
{
board[i][j]=1;
bool nextQueenRakhpaye=solveNqueen(board,i+1,n);
if(nextQueenRakhpaye)
{
return true;
}
board[i][j]=0;
}
}
return false;
}
int main(int argc, char **argv)
{
int n;
cin>>n;
int board[10][10]={0};
solveNqueen(board,0,n);
return 0;
}