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 sys, math

s = sys.stdin.readline()
x = int(s)
count = 0
for d in xrange(1, int(math.sqrt(x)) + 1):
    if x % d == 0:
        for c in str(d):
            if c in s:
                count += 1
                break
        if d != x / d:
            for c in str(x / d):
                if c in s:
                    count += 1
                    break
print count
