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, ans, i = input(), 0, 1
s = set(list(str(n)))
while i * i < n:
    if n % i != 0:
        i += 1;
        continue
    if set(list(str(i))).intersection(s):
        ans += 1
    if set(list(str(n / i))).intersection(s):
        ans += 1
    i += 1
if i * i == n and set(list(str(i))).intersection(s):
    ans += 1
print ans
