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

n_str = input()
n = int(n_str)
n_set = set(n_str)

ds = []

def has_common_digit(i):
    for k in i:
        #print(k)
        if k in n_set:
            return True
    return False

for i in range(1,int(math.sqrt(n))+1):
#for i in range(1,int(n/2)+2):
    if n%i == 0:
        if has_common_digit(str(i)):
            ds.append(i)
        if i != n/i:
            if has_common_digit(str(int(n/i))):
                ds.append(int(n/i))
            
if n not in ds:
    ds.append(n)
print(len(ds))
 		 	  		 		  	 	 		   	 	 	 		