Fox Ciel has some flowers: r red flowers, g green flowers and b blue flowers. She wants to use these flowers to make several bouquets. There are 4 types of bouquets:

  * To make a "red bouquet", it needs 3 red flowers. 
  * To make a "green bouquet", it needs 3 green flowers. 
  * To make a "blue bouquet", it needs 3 blue flowers. 
  * To make a "mixing bouquet", it needs 1 red, 1 green and 1 blue flower. 



Help Fox Ciel to find the maximal number of bouquets she can make.

Input

The first line contains three integers r, g and b (0 ≤ r, g, b ≤ 109) — the number of red, green and blue flowers.

Output

Print the maximal number of bouquets Fox Ciel can make.

Examples

Input

3 6 9


Output

6


Input

4 4 4


Output

4


Input

0 0 0


Output

0

Note

In test case 1, we can make 1 red bouquet, 2 green bouquets and 3 blue bouquets.

In test case 2, we can make 1 red, 1 green, 1 blue and 1 mixing bouquet.
import java.util.*;

public class CielAndFlowers{
   public static void main(String[] Args){
      Scanner sc = new Scanner(System.in);
      int n = sc.nextInt();
      int m = sc.nextInt();
      int p = sc.nextInt();
      int ans = 0;
      int min = Math.min(Math.min(n,m),p);
      ans = min;
      n-=min;
      m-=min;
      p-=min;
      ans += (n)/3;
      ans += (m)/3;
      ans += (p)/3;
      n%=3;
      m%=3;
      p%=3;
      if(min > 0 && ((n==2&&m==2) || (p==2&&m==2) || (p==2&&n==2)))
         ans++;
      System.out.println(ans);
   }
}
