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 A
{
      public static void main(String ar[])
      {
            Scanner s=new Scanner(System.in);
            int a[]=new int[3];  int t=0;
            a[0]=s.nextInt();  a[1]=s.nextInt();  a[2]=s.nextInt();
            Arrays.sort(a);
            t=Math.max(a[0]/3+a[1]/3+a[2]/3,t);
            if(a[0]>0)
            { a[0]--;  a[1]--; a[2]--;  t=Math.max(1+a[0]/3+a[1]/3+a[2]/3,t); }
            if(a[0]>0)
            { a[0]--;  a[1]--; a[2]--;  t=Math.max(2+a[0]/3+a[1]/3+a[2]/3,t); }
            
            System.out.println(t);
      }
}