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 B322 {
	public static void main(String[] args){
		Scanner br = new Scanner(System.in);
		int a = br.nextInt();
		int b = br.nextInt();
		int c = br.nextInt();
		int ans = 0;
		while(a > 0 && b > 0 && c > 0 && (a%3 + b%3 +c%3 > 3 || (a%3 + b%3 +c%3 == 3 && a%3 == b%3 && b%3 == c%3 && a%3 == c%3 ))){
			ans++;
			a--;
			b--;
			c--;
		}
		ans+=(a/3);
		ans+=(b/3);
		ans+=(c/3);
		System.out.println(ans);
	}
}
