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.Arrays;
import java.util.StringTokenizer;

public class Main {
    static void zap() throws IOException {
        int[] c = new int[3];
        for(int i=0;i<3;i++)
            c[i] = nextInt();
        for(int i=0;i<3;i++)
            if(c[i] == 0)
            {
                out.println(c[0]/3+c[1]/3+c[2]/3);
                return;
            }
        int minRem = Integer.MAX_VALUE;
        for(int i=0;i<3;i++)
        {
            if(c[i]%3 != 0)
                minRem = Math.min(minRem, c[i]%3);
        }
        if(minRem == Integer.MAX_VALUE)
        {
            out.println(c[0]/3+c[1]/3+c[2]/3);
            return;
        }
        int thatBitch = 0;
        for(int i=0;i<3;i++)
            if(c[i]%3 >= minRem)
                thatBitch++;
        if(thatBitch > 1)
        {
            for(int i=0;i<3;i++)
                c[i] -= minRem;
            out.println(minRem + c[0]/3+c[1]/3+c[2]/3);
            return;
        }
        out.println(c[0]/3+c[1]/3+c[2]/3);
    }

    static BufferedReader br;
    static StringTokenizer st;
    static PrintWriter out;

    public static void main(String[] args) throws IOException {
        InputStream input = System.in;
        //InputStream input = new FileInputStream("fileIn.in");
        br = new BufferedReader(new InputStreamReader(input));
        out = new PrintWriter(System.out);
        //out = new PrintWriter(new FileOutputStream("fileOut.out"));
        zap();
        out.close();
    }

    static long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }

    static double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }

    static int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    static String nextToken() throws IOException {
        while (st == null || !st.hasMoreTokens()) {
            String line = br.readLine();
            if (line == null) {
                return null;
            }
            st = new StringTokenizer(line);
        }
        return st.nextToken();
    }
}