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 TaskB {
    public static void main(String[] args) {
        new TaskB().solve();
    }

    TaskB() {
    }

    public void solve() {
        Scanner in = new Scanner(System.in);
        Long[] x = new Long[3];
        for (int i = 0; i < 3; ++i) x[i] = in.nextLong();
        long ans = x[0] / 3 + x[1] / 3 + x[2] / 3 +
                Math.min(x[0] % 3, Math.min(x[1] % 3, x[2] % 3));
        Arrays.sort(x, new Comparator<Long>() {
            @Override
            public int compare(Long o1, Long o2) {
                return o1 % 3 < o2 % 3 ? -1 : 1;
            }
        });
        if (x[0] / 3 >= 1 && x[0] % 3 == 0 && x[1] % 3 == 2 && x[2] % 3 == 2) {
            ans += 1;
        }
        System.out.println(ans);
    }
}

