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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;


public class Main {
    public static void main(String[] args) throws IOException {
        BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
        String[] s = bf.readLine().split(" ");
        long r = Long.parseLong(s[0]);
        long g = Long.parseLong(s[1]);
        long b = Long.parseLong(s[2]);
        long res = 0;
        res = r/3 + g/3 + b/3;
        if(r==0 || g==0 || b==0 ){
            System.out.println(res);
            return;
        }
        r %= 3; g %= 3; b %= 3;
        if((r==2 && g==2 && b==0))
            res++;
        if((r==0 && g==2 && b==2))
            res++;
        if((r==2 && g==0 && b==2))
            res++;
        if(r==2 && g==2 && b==2)
            res += 2;
        else
            if(r>=1 && g>=1 && b>=1)
                res++;
        System.out.println(res);
    }
}
