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

public class Main{
    public static void main(String []args){
        int a=0,b=0,c=0;
        Scanner in=new Scanner(System.in);
        a=in.nextInt();
        b=in.nextInt();
        c=in.nextInt();
        int sum=0,min=Math.min(a,Math.min(b,c));
        a-=min;b-=min;c-=min;
        sum=a/3+b/3+c/3;
        if(a%3+b%3+c%3==4&&min>0) min++;
        System.out.println(min+sum);

    }
}
