#include <stdio.h>
#include <math.h>

int main()
{
    int i, run, a, s, ara[3];
    float t;
    scanf("%d\n",&run);
    for(a = 0; a < run; a++)
    {
        for(i = 0; i < 3; i++) {
            scanf("%d",&ara[i]);
        }
        s = (ara[0] + ara[2]) / 2;
        t = sqrt(ara[0] * ara[2]);
        printf("Case %d: ",a + 1);
        if(ara[1] == s && ara[1] == t) {
            printf("Both\n");
        }
        else if(ara[1] == t) {
            printf("Geometric Progression\n");
        }
        else if(ara[1] == s) {
            printf("Arithmetic Progression\n");
        }
        else {
            printf("None\n");
        }
    }
    return 0;
}