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N-queen.cpp
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N-queen.cpp
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#include<stdio.h>
#include<math.h>
int count=0;
int a[30];
int place(int pos){
for(int 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){
do{
a[k]++;
}
while((a[k]<=n)&&!place(k));
if(a[k]<=n){
if(k==n){
print_sol(n);
}
else{
k++;
a[k]=0;
}
}
else{
k--;
}
}
}
int main(){
int n;
printf("Enter the number of Queens: ");
scanf("%d",&n);
queen(n);
printf("\n Total solutions = %d\n",count);
}