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
from math import sqrt
def chk(i):
    for j in str(i):
        if j in s:
            return 1
    return 0
n=input()
s=str(n)
cnt=0
i=1
while i*i<n:
    if n%i==0:
        cnt+=chk(i)
        cnt+=chk(n/i)
    i+=1
if i==sqrt(n) and n%i==0:
    cnt+=chk(i)
print cnt
