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.ArrayList;
import java.util.Collections;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int r=sc.nextInt();
		int g = sc.nextInt();
		int b = sc.nextInt();
		
		int x=r/3+g/3+b/3;
		
		int rm=r%3;
		int gm=g%3;
		int bm=b%3;
		
		
			
		
x=x+Math.min(r%3, Math.min(g%3, b%3));

if(rm + gm==4 && b>1 && bm==0 || gm+bm==4 && r>1 && rm==0 || rm+bm==4 && g>1 && gm==0)
	x=x+1;

System.out.println(x);
	}
}
