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())
i = 1
z = []		
while i*i <= x:
    if x % i == 0:
        z.append(i)
        y = x/i
        z.append(y)
    i += 1
z = set(z)
input = set(str(x))
count = 0
for i in z:
	i = set(str(i))
	if len(i.intersection(input)) != 0:
		count += 1

print count
				
			
		
