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51 changes: 51 additions & 0 deletions N-Queen.c
Original file line number Diff line number Diff line change
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#include<stdio.h>
#include<conio.h>
#include<math.h>
int a[30],count=0;
int place(int pos) {
int i;
for (i=1;i<pos;i++) {
if((a[i]==a[pos])||((abs(a[i]-a[pos])==abs(i-pos))))
return 0;
}
return 1;
}
void print_sol(int n) {
int i,j;
count++;
printf("\n\nSolution #%d:\n",count);
for (i=1;i<=n;i++) {
for (j=1;j<=n;j++) {
if(a[i]==j)
printf("Q\t"); else
printf("*\t");
}
printf("\n");
}
}
void queen(int n) {
int k=1;
a[k]=0;
while(k!=0) {
a[k]=a[k]+1;
while((a[k]<=n)&&!place(k))
a[k]++;
if(a[k]<=n) {
if(k==n)
print_sol(n); else {
k++;
a[k]=0;
}
} else
k--;
}
}
void main() {
int i,n;
clrscr();
printf("Enter the number of Queens\n");
scanf("%d",&n);
queen(n);
printf("\nTotal solutions=%d",count);
getch();
}