5080: Little Elephant and Numbers

Memory Limit:256 MB Time Limit:2.000 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

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