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 ;

public class Main {
    
    public static void main(String[] args)
    {  
        Scanner input = new Scanner (System.in);
        int r = input.nextInt();
        int g = input.nextInt();
        int b = input.nextInt();         
        int sum = (r/3)+(g/3)+(b/3);
        int rr , gg ,bb ;
        if ((r>=3)&&(g>=3)&&(g>=3))
        { rr = r%3; gg=g%3 ; bb = b%3 ;
          if ((rr==gg || rr==bb || gg==bb)) sum += (rr+gg+bb)/3;          
          else if ((rr==1)&&(gg==1)&&(bb==1)) sum += 1 ;       
        }      
        System.out.println(sum);       
    }
}
