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
n = int(input())
ans = 0
for i in range(1,int(n**.5) +1):
    if n % i == 0 :
        ans += int(any(j in str(n) for j in str(i)))
        tmp = n//i
        if i != tmp:
            ans  += int(any(j in str(n) for j in str(tmp)))
 
print(ans)
        