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=input();Ans=set()
for i in range(1,int(n**.5)+1):
  if not n%i: Ans|={i,n/i}
sum=0
for i in Ans : 
	if set(`n`) & set(`i`):sum+=1
print sum
	 			 	 	 		  		 		   			