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
# quantidade de divisores de x que tem algum dígito em comum com x
from math import ceil,sqrt

n = int(input())

div = []

for i in range(1,ceil(sqrt(n))+1):
    if n%i == 0:
        for d in str(n):
            if d in str(i):
                div.append(i)
            if d in str(n//i):
                div.append(n//i)

res = len(set(div))

print(res)                
