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.*;
import java.io.*;

import static java.lang.Math.*;
public class SomeA {
	
	public static void main(String[] args) throws FileNotFoundException {
		Scanner sc = new Scanner(System.in);
		PrintWriter pw = new PrintWriter(System.out);
		long a = sc.nextLong();
		long b = sc.nextLong();
		long c = sc.nextLong();
		long first = a/3 + b/3 + c/3;
		long second = 0, third = 0;
		if(a>=1&&b>=1&&c>=1){second= 1 + (a-1)/3 + (b-1)/3+ (c-1)/3;};
		if(a>=2&&b>=2&&c>=2){third = 2 + (a-2)/3 + (b-2)/3+ (c-2)/3;};
		pw.println(Math.max(first,Math.max(second,third)));
		pw.close();
	}

}
