Two friends are playing a game. One gives an integer N to other and asks: What is the number of divisors of N that are divisible by 3? The task is to help the other friend in finding the number of divisors.

Input:
The first line of input contains an integer T denoting the number of test cases.For each test case there will be single line which contains an integer N.

Output:
For each test case in a new line print the  number of divisors.

Constraints:
1 ≤ T ≤ 50
1 ≤ N ≤ 100000

Example:
Input:
2
6
10

Output:
2
0

Explanation:
6 has three divisors 1, 3 and 6 out of which two are divisible by 3.
10 has four divisors 1,2,5 and 10 none of which is divisible by 3

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