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 static java.lang.Integer.parseInt;

public class Main {

    public static void main(String[] args) throws IOException {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer tk ;
        PrintWriter p=new PrintWriter(System.out);
        StringBuilder out = new StringBuilder();
        tk=new StringTokenizer(in.readLine());
         int r=parseInt(tk.nextToken()),g=parseInt(tk.nextToken()),b=parseInt(tk.nextToken()),ans=0;
      ans=r/3+g/3+b/3;
    int rr=r%3,gg=g%3,bb=b%3;
 
    while(rr-->=1&&gg-->=1&&bb-->=1)
        ans++;
    
    int ans2=0;
    int max=Math.max(r%3, Math.max(g%3, b%3));
    while(max-->=1){
        if(r>0&&g>0&&b>0)
        ans2++;
    r--;g--;b--;
    }
        System.out.println(Math.max(ans2+r/3+g/3+b/3,ans));
        
    }
    
}
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