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.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
import java.math.BigInteger;
import java.math.RoundingMode;
public class a {
    public static int vertices=0;
    public static void main(String[] args) {
       Scanner s = new Scanner(System.in);
       int n=s.nextInt();
       int m=s.nextInt();
       int c=s.nextInt();
       int min=Math.min(Math.min(n,m),c);
       long sum=min;
       n-=min;
       m-=min;
       c-=min;
       sum+=n/3;
       sum+=m/3;
       sum+=c/3;
       int count=0;
        if(n%3==2)
            count++;
        
        if(m%3==2)
            count++;
        
        if(c%3==2)
            count++;
        if(count==2&&min>=2)
            sum++;
        System.out.println(sum);
        
    }
}
