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
x = int(input())
s = set(str(x))
i = 1
ans = 0
while i * i <= x:
	if x % i == 0:
		if any(c in s for c in str(i)):
			ans += 1
		if i * i != x and any(c in s for c in str(x // i)):
			ans += 1
	i += 1
print(ans)
