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, val, i = int(input()), 0, 1

xs = set(str(x))

def dc(n):

    return bool(xs & set(str(n)))

while i * i < x:

    if x % i == 0:

        val += dc(i) + dc(x // i)

    i += 1

print(val + (i * i == x and dc(i)))



# Made By Mostafa_Khaled