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
n = int(input())
d = 0
for i in range(1,int(n ** 0.5)+1) :
    if n % i == 0 :
        for j in str(i) :
            if j in str(n) :
                d += 1
                break
        k = n // i
        if k != i :
            for j in str(k) :
                if j in str(n) :
                    d += 1
                    break
print(d)
