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.*;
import java.lang.*;
import java.io.*;

public class Main
{
	public static void main (String[] args) throws java.lang.Exception
	{
		long r, g, b;
		Scanner in = new Scanner(System.in);
		r = in.nextLong();
		g = in.nextLong();
		b = in.nextLong();
		long sum = r/3+g/3+b/3;
		 if(r>=1 && g>=1 && b>=1)
    	sum = Math.max(sum, 1 + (r-1)/3 + (g-1)/3 + (b-1)/3);
    	
    	if(r>=2 && g>=2 && b>=2)
    	sum = Math.max(sum, 2 + (r-2)/3 + (g-2)/3 + (b-2)/3);
    	
		System.out.print(sum);
		in.close();
	}
}