programming-examples/c++/Others/This program finds the locations of placing n queens in a nn chessboard.cpp

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2019-11-15 12:59:38 +01:00
This program finds the locations of placing n queens in a n*n chessboard
so that none attack any other
Code :
#include<iostream.h>
#include<conio.h>
#include<math.h>
#include<process.h>
#include<graphics.h>
class queen
{ int n,x[100];
public:
queen();
void nqueen(int,int);
int place(int,int);
};
queen::queen()
{
int k=1;
textcolor(GREEN);
cprintf("
Enter the number of queens:");
cin>>n;
nqueen( k, n);
}
void queen::nqueen(int k,int n)
{
for(int i=1;i<=n;i++)
{
if(place(k,i))
{
x[k]=i;
clrscr();
if(k==n)
{
for(int j=1;j<=n;j++)
{textcolor(x[j]);
gotoxy(1,j);
cprintf("
queen %d : %d",j,x[j]);
}
getch();
break;
}
else
nqueen(k+1,n);
}
}
return;
}
int queen::place(int k,int i)
{
int j;
for(j=1;j<=k;j++)
{
if((x[j]==i)||(abs(x[j]-i)==abs(j-k)))
return 0;
}
return 1;
}
void main()
{
clrscr();
queen q;
}