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 = input()
r, y = 0, 1
while y * y <= x:
	if x % y == 0:
		r += len(set(`y`) & set(`x`)) > 0
		r += y != x / y and len(set(`x / y`) & set(`x`)) > 0
	y += 1
print r