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50 changes: 50 additions & 0 deletions C/N_Queens.c
Original file line number Diff line number Diff line change
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//N queens

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

#define MAX 100

int place(int x[MAX], int r, int c)
{
int i;
for(i=1;i<r;i++)
if(x[i]==c || (abs(x[i]-c)==abs(i-r)))
return 0;

return 1;
}

void nqueens( int x[MAX],int r, int n)
{
int i,c;

for(c=1;c<=n;c++)
{
if(place(x,r,c))
{
x[r]=c;
if(r==n)
{
printf("{ ");
for(i=1;i<=n;i++)
printf(" %d ",x[i]);
printf(" }\n");
}
else
nqueens(x,r+1,n);
}
}
}

int main()
{
int n,i,j;
int x[MAX];

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

printf("\nThe solutions are : \n");
nqueens(x,1,n);
}