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B. Little Elephant and Numbers

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe 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* ≤ 10^{9}).

Output

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

Examples

Input

1

Output

1

Input

10

Output

2

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