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(input())

def checker(n):
    if any(i in str(x) for i in str(n)):
        return True
    else:
        return False

c = 0

for i in range(1, int(x**0.5)+1):
    if x%i == 0:
        c += checker(i)
        if i*i != x:
            c += checker(x//i)
print(c)
