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
f=lambda x,y:bool(set(str(x)).__rand__(set(str(y))))
x=int(input())
k=0
i=1
while i*i<=x:
    if x%i==0:
        k+=f(x,i)
        t=x//i
        if t!=i:k+=f(x,t)
    i+=1
print(k)