#include <iostream>
using namespace std;
int main() {
// your code goes here
int a1, a2, a3;
while(true) {
cin >> a1 >> a2 >> a3; if(a1==0 && a2==0 && a3==0) break;
if(a2*a2==a1*a3) cout << "GP " << int(float(a3)*float(float(a3)/float(a2))) << endl;
int m1 = a2-a1, m2 = a3-a2; if(m1==m2) cout << "AP " << a3+m2 << endl;
}
return 0;
}
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