Given a number, output how many digits of that number the number is itself divisible by. Count all occurrences of such digits in the number, not just the first.

For example, 12345 is divisible by 1, 3, and 5, so, the answer in this case must be 3.

Input

Each test case is a number between 1 and 10²⁴⁰.

Output

for each test case, output how many of its digits divide the number.

Example

Input:
12345
661232
312
730000000
Output:
3
3
3
0