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(input())
xs = set(str(x))

def is_intersection(x):
    return bool(xs & set(str(x)))

res, i = 0, 1
while i * i < x:
    if x % i == 0:
        res += is_intersection(i) + is_intersection(x // i)
    i += 1
print(res + (i * i == x and is_intersection(i)))
