#include<iostream>
#include<cstdio>
#include<vector>
#include<cstring>
#include<cmath>
#define db(a) cout << #a << " = " << a << endl;
using namespace std;
int amigo(int n) {
int m = 0;
for (int i = 1; i * i <= n; i++) {
if(n % i == 0)
m += i + n / i;
if(i * i == n) m -= i;
}
m -= n;
int t = 0;
for (int i = 1; i * i <= m; i++) {
if(m % i == 0)
t += i + m / i;
if(i * i == m) t -= i;
}
t -= m;
if(t == n) return m;
return -1;
}
int main() {
int n;
ios_base::sync_with_stdio(false);
while(cin >> n && n != 0) {
cout << amigo(n) << endl;
}
return 0;
}
algorithm to determine if a number has a friend number, if not then it shows you -1 instead.
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