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
i = 1
while i*i<=n:
    f = 0
    if n%i==0:
        num = n//i
        num1 = i
        if num == num1:f=1
        if len(set(list(str(num))).intersection(set(list(str(n))))):
            ans+=1
        if len(set(list(str(num1))).intersection(set(list(str(n))))) and f == 0:
            ans+=1
    i+=1
print(ans)