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 Main {
	
	
	
	
	public static void main(String[] args) {
		Scanner sc= new Scanner(System.in);
		long r=sc.nextLong(), g=sc.nextLong(), b=sc.nextLong(), cont=0;
		if (r<g && r<b){
			g-=r;
			b-=r;
			cont+=r;
			cont+=(b/3);
			cont+=(g/3);
			if (r>0 && g%3==2 && b%3==2) cont++;
		}
		else if (g<b){
			r-=g;
			b-=g;
			cont+=g;
			cont+=(r/3);
			cont+=(b/3);
			if (g>0 && b%3==2 && r%3==2) cont++;
		}
		else{
			g-=b;
			r-=b;
			cont+=b;
			cont+=(r/3);
			cont+=(g/3);
			if (b>0 && g%3==2 && r%3==2) cont++;
		}
		System.out.println(cont);
		
	}
	
}