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
x=input()
xs=set(`x`)
p=set()
for d in xrange(1, int(x**.5)+1):
  if not x%d:
    p|={d,x//d}
print sum(1 for d in p if xs&set(`d`))
