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 factors(n):  
    if n==1:
        return [1]
    fact=[1,n]  
    check=2  
    rootn=sqrt(n)  
    while check<rootn:  
        if n%check==0:  
            fact.append(check)  
            fact.append(n/check)  
        check+=1  
    if rootn==check:  
        fact.append(check)  
        fact.sort()  
    return fact 
n = input()
t = factors(n)  
#print t  
h = str(n)
su = 0
for i in t:
    for k in h:
        if k in str(i):
            su += 1
            break
print su            
