Little Elephant and Numbers

2000ms

262144K

Description:

The Little Elephant loves numbers.

He has a positive integer x. The Little Elephant wants to find the number of positive integers d, such that d is the divisor of x, and x and d have at least one common (the same) digit in their decimal representations.

Help the Little Elephant to find the described number.

Input:

A single line contains a single integer x (1 ≤ x ≤ 10⁹).

Output:

In a single line print an integer — the answer to the problem.

Sample Input:

Sample Output:

Sample Input:

Sample Output:

Informação

Provedor Codeforces

Código CF221B