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,floor
def div(x):
    s=0
    for i in range(2,floor(sqrt(x))+1):
        if x%i==0 and set(str(i)).intersection(set(str(x))):s+=1
        if i!=x//i and x%(x//i)==0 and set(str(x//i)).intersection(set(str(x))):s+=1
    if "1" in str(x):s+=1
    if 1!=x:s+=1
    return s
print(div(int(input())))