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
n = int(input())
divisors = set()
divisors.add("1")
divisors.add(str(n))
for i in range(2, int(sqrt(n)) + 1):
    if not bool(n%i):
        divisors.add(str(i))
        if ((n/i) != i):
            divisors.add(str(int(n/i)))
answer = set()
for digit in str(n):
    for divisor in divisors:
        for p in divisor:
            if (digit == p):
                answer.add(divisor)
                break;
print(len(answer))
