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Find Count Digit
     

Given a positive integer N. Write a program to find count of digits of the number which evenly divides the number N.

Input:
First line of input of contains a single integer T which denotes the number of test cases. T test cases follows. First line of each test cases contains a single integer N.

Output:
For each test case print the count of all those digits in N which evenly divides N.

Constraints:
1<=T<=100
1<=N<=106

Example:
Input:
2
12
1012
Output:
2
3

**For More Examples Use Expected Output**


Contributor: Harsh Agarwal

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