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.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.util.Arrays;

public class SielAndFlowers {

	public static void main(String[] args) throws IOException {

		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		BufferedWriter out = new BufferedWriter(new OutputStreamWriter(System.out));
         String temp[]=in.readLine().split(" ");
         long red=Integer.parseInt(temp[0]);
         long green=Integer.parseInt(temp[1]);
         long blue=Integer.parseInt(temp[2]);
         long sum=0;
         sum=red/3+green/3+blue/3;
        int redMod=(int)red%3;
        int blueMod=(int)blue%3;
        int greenMod=(int)green%3;
        int extra=0;
        
        
        
        if(redMod==0 || blueMod==0 || greenMod==0)
        	extra=0;
        else
        {
        	if(redMod>=1 && blueMod>=1 && greenMod>=1)
        		extra++;
        	if(redMod>=2 && blueMod>=2 && greenMod>=2)
        		extra++;
        }
        sum+=extra;
        if(((redMod==2 && greenMod==2 && blueMod==0) || (redMod==2 && blueMod==2 && greenMod==0) || (greenMod==2 && redMod==0 && blueMod==2)) && (red!=0 && blue!=0 && green!=0))
        	sum++;
        out.write(String.valueOf(sum));
        out.flush();
}
}