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
from math import sqrt
x = int(input())
count = 0
for i in range(1, int(sqrt(x)) + 1):
	if x%i == 0:
		count += int(any(j in str(x) for j in str(i)))
		if not i*i == x:
			count += int(any(j in str(x) for j in str(x//i)))
print(count)

