Problem3493--Little Elephant and Numbers

3493: Little Elephant and Numbers

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 0  Solved: 0
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Description

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

Source/Category

 
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