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(raw_input())
div = set()
ans = 0
for i in xrange(1,int(x**.5+2)):
	if i * i > x:
		break
	if x % i == 0:
		div.add(i)
div |= set([x/i for i in div])
print sum(1 for i in div if set(str(i)) & set(str(x)))