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
def factors(x):
    # We will store all factors in `result`
    result = []
    i = 1

    while i*i <= x:

        if x % i == 0:
            result.append(i)

            if x//i != i: # In Python, // operator performs integer/floored division
                result.append(x//i)
        i += 1

    return result
import math
x=input()
n=int(x)
lst=[]
ans=[]
lst=factors(n)


for i in lst:
    if (set(str(i)) & set(x)):
        ans.append(i)
print(len(ans))    





