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
import math
x = int(input())

divisors = set()
for d in range(1, math.ceil(math.sqrt(x)) + 1):
    if x % d == 0:
        divisors.add(d)
        divisors.add(x // d)

def common_digits(a, b):
    a = set(str(a))
    b = set(str(b))
    return not a.isdisjoint(b)

print(sum(1 for d in divisors if common_digits(d, x)))

	  	 	 				  	  		    			   	