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 = input()

def com(a,b):
	a = str(a)
	b = str(b)
	
	for x in map(str,range(10)):
		if x in a and x in b:
			return 1
	
	return 0

d = 1
ans = 0

while (d*d <= N):
	if N%d==0:
		ans += com(d,N)
		if (N/d != d): ans += com(N/d,N)
	d+=1

print ans
