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 java.util.*;
public class LittleElephantAndNumbers{
   public static void main(String[] Args){
      Scanner sc = new Scanner(System.in);
      int x = sc.nextInt();
      int ans = 0;
      for(int k = 1; k*k<=x;k++){
         if(x%k==0){
            if(check(x+"",k+""))
               ans++;
            if(k*k!=x && check(x+"",(x/k)+""))
               ans++;
         }
      }
      System.out.println(ans);
   }
   public static boolean check(String a, String b){
      for(int k =0;k<a.length();k++)
         for(int j =0;j<b.length();j++)
            if(a.charAt(k)==b.charAt(j))
               return true;
      return false;
   }
}
