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/*
****************************************************************
****************************************************************
-> Coded by Stavros Chryselis
-> Visit my github for more solved problems over multiple sites
-> https://github.com/StavrosChryselis
-> Feel free to email me at [email protected]
****************************************************************
****************************************************************
*/
#include<stdio.h>
int main()
{
int l,m,n;
scanf("%d",&l);
scanf("%d",&m);
scanf("%d",&n);
while(1)
{
if(m==0&&n==0&&l==0)
break;
else if((2*m)==(n+l))
printf("AP %d\n",(n+(m-l)));
else
printf("GP %d\n",(n*(m/l)));
scanf("%d",&l);
scanf("%d",&m);
scanf("%d",&n);
}
return 0;
}
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