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
x = input()
from math import sqrt

def solve(x):
    s = set(str(x))
    def check(k):
        return any(q in s for q in str(k))
    if x == 1:
        return 1
    c = 0
    i = 1
    while i*i <= x:
        if x%i == 0 and check(i):
            c += 1
        if x%(x/i) == 0 and check(x/i) and i != x/i: 
            c += 1
        i += 1
    return c    
    
print solve(x)