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<=10^{6}

**Example:**

**Input:**

2

12

1012

**Output:**

2

3

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