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 Main
{

	public static void main(String[] args)
	{

		Scanner in = new Scanner(System.in);
		int r = in.nextInt();
		int g = in.nextInt();
		int b = in.nextInt();

		int max = 0,temp;

		for (int i=0;i < 3;i++)
		{

			if (r - i <= 0 || g - i <= 0 || b - i <= 0)
			{
				temp = r / 3 + g / 3 + b / 3;
				max = temp > max ? temp : max;
			}
			else
			{
				temp = i + (r - i) / 3 + (g - i) / 3 + (b - i) / 3;
				max = temp > max ? temp : max;
			}

		}

		System.out.println(max);
		
	}

}