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
#!/usr/bin/env python
from math import sqrt
x=int(raw_input())
if x==1:
    print 1
else:
    lst = []
    k = 0
    def isvalid(z):
        for i in str(z):
            if str(x).count(i):
                return True
        return False
    for j in xrange(1, int(sqrt(x)+1)):
        if x % j == 0:
            if isvalid(j):
                lst.append(j)
            if isvalid(x/j):
                if x/j!=j:
                    lst.append(x/j)
    print len(lst)