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())
def check(d):
    if any(i in str(x) for i in str(d)):
        return 1 
    return 0 
cnt=0 
from math import sqrt as S 
for i in range(1,int(S(x))+1):
    if x%i==0:
        cnt+=check(i)
        if i!=x//i:
            cnt+=check(x//i)
print(cnt)