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
import math
x = int(raw_input())
n = int(math.sqrt(x)) + 1
ans = 0
for i in xrange(1, n):
    if x % i == 0:
        for j in str(i):
            if j in str(x):
                ans = ans + 1
                break
        if i <> x/i:
            for j in str(x/i):
                if j in str(x):
                    ans = ans + 1
                    break
print ans