Little Elephant and Numbers

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

inputFormat

Input

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

outputFormat

Output

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

Examples

Input

1

Output

1

Input

10

Output

2

样例

10

2

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