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B. Little Elephant and Numbers
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

Examples
Input
1
Output
1
Input
10
Output
2