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.Scanner;

public class R198_D2_B {
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        long r = in.nextLong();
        long g = in.nextLong();
        long b = in.nextLong();

        long min = Math.min(r, Math.min(g, b));
        long limit = Math.min(min, 2);
        long res = 0;
        for (long i = 0; i <= limit; i++) {
            long newRes = i;
            newRes += (r - i) / 3;
            newRes += (g - i) / 3;
            newRes += (b - i) / 3;

            res = Math.max(res, newRes);
        }

        System.out.println(res);
    }
}
