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 = int(raw_input())
t = set(list(str(x)))
f = 0
for i in range(1, int(x ** 0.5) + 1):
    if x % i == 0:
        r = set(list(str(i)))
        if len(r - t) < len(r):
            f += 1
        if i * i != x:
            r = set(list(str(x // i)))
            if len(r - t) < len(r):
                f += 1           
print(f)