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 Tester
{
	public static void main(String[] args) 
	{
		Scanner s = new Scanner(System.in);
		
		int r=s.nextInt();
		int g=s.nextInt();
		int b=s.nextInt();
		
		int req1=(r/3)+(g/3)+(b/3); //0 mix bouquet
		
		int req2=0,req3=0;
		if(r>=1 && g>=1 && b>=1)
		{
			req2=((r-1)/3)+((g-1)/3)+((b-1)/3)+1; //1 mix bouquet
			req3=((r-2)/3)+((g-2)/3)+((b-2)/3)+2; //2 mix bouquet
		}
		int temp=Math.max(req1, req2);
		int req_max=Math.max(temp, req3);
		
		System.out.println(req_max);
		
		
	}
}
