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Raipur, Chhattisgarh, India
Hi , I am Amit Thakur. I have worked as a QA Engineer for two years and as a Java Developer for one year in NIHILENT TECHNOLOGIES PVT. LTD., Pune.Currently I am working as DEAN (Research & Development) in Bhilai Institute of Technology, Raipur.

Monday, September 2, 2013

C Progran to Implement N Queen's Problem using Backtracking

#include<stdio.h>
#include<conio.h>
#include<math.h>

char a[10][10];
int n;

void printmatrix()
{
 int i,j;
 printf("\n");
 for(i=0;i < n;i++)
       {
       for(j=0;j < n;j++)
            printf("%c\t",a[i][j]);
       printf("\n\n");
       }
}

//------------------------------------------

int getmarkedcol(int row)
{
 int i,j;
 for(i=0;i < n;i++)
     if(a[row][i]=='Q')
     {
     return(i);
     break;
     }
}

//------------------------------------------

int feasible(int row, int col)
{
 int i,tcol;
 for(i=0;i < n;i++)
     {
     tcol=getmarkedcol(i);
         if(col==tcol || abs(row-i)==abs(col-tcol))
              return 0;
     }
 return 1;
}

//------------------------------------------

void nqueen(int row)
{
 int i,j;
 if(row < n)
 {
  for(i=0;i < n;i++)
     {
     if(feasible(row,i))
         {
         a[row][i]='Q';
         nqueen(row+1);
         a[row][i]='.';
         }
     }
 }
 else
 {
 printf("\nThe solution is:- ");
 printmatrix();
 }
}

//---------------------------------

void main()
{
 int i,j;
 clrscr();

 printf("\n Enter the no. of queens:- ");
 scanf("%d",&n);

 for(i=0;i < n;i++)
     for(j=0;j < n;j++)
  a[i][j]='.';

 nqueen(0);
 getch();
}

Output :
Enter the no. of queens:- 4

The solution is:-
.       Q       .       .

.       .       .       Q

Q       .       .       .

.       .       Q       .


The solution is:-
.       .       Q       .

Q       .       .       .

.       .       .       Q

.       Q       .       .

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