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 ceil {

	public static void main(String[] args) {
			  Scanner in = new Scanner(System.in);
			  int[] n = new int[3];
			  n[0] = in.nextInt();
			  n[1] = in.nextInt();
			  n[2] = in.nextInt();
			  int min = Math.min(n[0], Math.min(n[1], n[2]));
			  int sol = 0;
			  if (min >= 2)
			   sol = Math.max(sol,
			     2 + ((n[0] - 2) / 3 + (n[1] - 2) / 3 + (n[2] - 2) / 3));
			  if (min >= 1)
			   sol = Math.max(sol,
			     1 + ((n[0] - 1) / 3 + (n[1] - 1) / 3 + (n[2] - 1) / 3));
			  sol=Math.max(sol, n[0]/3+n[1]/3+n[2]/3);
			  System.out.println(sol);
			 }
			}
