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.Scanner;
import java.math.*;
public class CielAndFlowers {
    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        long a, b, c;
        long bouquet=0;
        a=input.nextInt();
        b=input.nextInt();
        c=input.nextInt();
        for(int i=0;i<3;i++)
        {
            if(a-i>=0&&b-i>=0&&c-i>=0)
               bouquet=Math.max(bouquet, i+(a-i)/3+(b-i)/3+(c-i)/3);
        }
              System.out.println(bouquet);  
    }
}