Sajeeb and Shoikot are two friends. Both are love mathematics. Sajeeb has a fascination with ZERO. They are discussing a math problem. M is equal to A to the power B multiply C to the power D multiply E to the power F. In mathematical equation:

M = A^B x C^D x E^F

Now, You are given six integers (A, B, C, D, E, F). You have to print the trailing zeros of M.

Input

The first line contains one integer t(1<=t<=10000). Each of the next t lines contains six integers. A,B,C,D,E and F (0<=A,B,C,D,E,F<=1000000).

Output

For each test case, print the case number as "Case X: "followed by the number of trailing zeros of M.

Sample

2
2 3 4 2 5 1
2 1 6 2 8 2

Case 1: 1
Case 2: 0