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 CielAndFlowers {
	public static int calc(int mix,int r,int g,int b)
	{
		if (r<mix || g<mix || b<mix)
			return 0;
		r-=mix;
		g-=mix;
		b-=mix;
		mix+=r/3;
		mix+=g/3;
		mix+=b/3;
		return mix;
	}
	public static void main(String args[])
	{
		Scanner sc = new Scanner(System.in);
		int r = sc.nextInt();
		int g = sc.nextInt();
		int b = sc.nextInt();
		int w = calc(0,r,g,b);
		int x = calc(1,r,g,b);
		int y = calc(2,r,g,b);
		System.out.println(Math.max(w,Math.max(y, x)));
	}
}
