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.io.IOException;
import java.io.*;
import java.util.*;

public class A  {

    public static void  main (String[] args) throws Exception{
        Scanner sc= new Scanner (System.in);
       // PrintWriter wr=new PrintWriter(System.out);
        int r,g,b;
        r=sc.nextInt();
        g=sc.nextInt();
        b=sc.nextInt();
        int count2=0;
        int count1=0;
        int ans=0;
        if(r%3==2)
            count2++;
        if(g%3==2)
            count2++;
        if(b%3==2)
            count2++;
        if(r%3==1)
            count1++;
        if(g%3==1)
            count1++;
        if(b%3==1)
            count1++;
        ans+=r/3;
        ans+=g/3;
        ans+=b/3;
        if(count1==3)
            ans++;
        else if(count2==3)
            ans+=2;
        else if(count2==2&&r>=2&&g>=2&&b>=2)
            ans++;
        else if(count1==2&&count2==1)
            ans++;
        System.out.println(ans);
    }
}
