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
d=input()
r=[ (len(set(str(d))&set(str(x)))>0) + (len(set(str(d))&set(str(d/x)))>0 and x != d/x) for x in range(1, int(d**0.5)+1) if d%x < 1 ]
print sum(r)