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
mp = lambda: map(int, raw_input().split())
s = set()
x = input()
for d in range(1, 1000020):
    if d*d>x:
        break
    if x%d==0:
        s |= {d, x/d}
print sum(len(set(`x`) & set(`y`)) > 0 for y in s)