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 = int(input())
ANS = 0

if n < 10:
  print 1
else:
  for x in range(1, int(n**0.5)+1):
    if n % x == 0:
      for q in range(10):
        if (str(q) in str(n)) and (str(q) in str(x)):
          ANS += 1
          break
      x = n / x
      if x**2 == n:
        continue
      for q in range(10):
        if (str(q) in str(n)) and (str(q) in str(x)):
          ANS += 1
          break
  print ANS