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(raw_input())
ans = 0
def func(k, m):
	sm = str(m)
	for c in str(k):
		if c in sm:
			return 1
	return 0
for i in xrange(1, n + 1):
	if i * i > n:
		break
	elif i * i == n:
		ans += func(i, n)
	elif n % i == 0:
		ans += func(i, n)
		ans += func(n / i, n)
print ans
