#include <iostream>
#include <cstdio>
using namespace std;
int main( int argc , char * argv[] ) {
int a,b,c;
scanf("%d%d%d" , &a,&b,&c);
while ( a != 0 || b != 0 || c != 0 ) {
if ( b - a == c - b ) {
printf("AP %d\n" , c + (c-b) );
}
else if ( b/a == c/b ) {
printf("GP %d\n" , c * (c/b));
}
scanf("%d%d%d" , &a,&b,&c);
}
return 0;
}
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