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
n = input()
if n == '1': print(1)
else:
    t, y, x = ['1', n], set(n), int(n)
    for d in range(2, int(x ** 0.5) + 1):
        if x % d == 0: t += [str(d), str(x // d)]
    if t[-1] == t[-2]: t.pop()
    print(sum(1 for i in t if set(i) & y))