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

X = int(raw_input())
s = set(map(int, str(X)))
def F(x):
    while x > 0:
        u = x % 10
        if u in s:
            return 1
        x /= 10
    return 0

i = 1
c = 0
while i * i <= X:
    if X % i == 0:
        c += F(i)
        if i * i < X:
            c += F(X / i)
    i += 1
print c, 