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.math.*;
import java.util.*;

public class Main {
    static FastScanner in;
    static final int MOD = 1000000007;

    public static void main(String[] args) throws IOException {
        //        System.setOut(new PrintStream(new BufferedOutputStream(new FileOutputStream("output.txt")), true));
        //        Scanner in = new Scanner(new File("input.txt"));
        //        Scanner in = new Scanner(System.in);
        in = new FastScanner(System.in);
        //        in = new FastScanner("input.txt");
        int r = in.nextInt();
        int g = in.nextInt();
        int b = in.nextInt();
        if (r == 0 || g == 0 || b == 0) {
            System.out.println(r / 3 + g / 3 + b / 3);
        } else if (r == 1 || g == 1 || b == 1) {
            System.out.println(Math.max(r / 3 + g / 3 + b / 3, 1 + (r - 1) / 3 + (g - 1) / 3 + (b - 1) / 3));
        } else {
            System.out.println(Math.max(r / 3 + g / 3 + b / 3, Math.max(1 + (r - 1) / 3 + (g - 1) / 3 + (b - 1) / 3,
                    2 + (r - 2) / 3 + (g - 2) / 3 + (b - 2) / 3)));
        }
    }

}

class FastScanner {

    BufferedReader br;
    StringTokenizer tokenizer;

    FastScanner(String fileName) throws FileNotFoundException {
        this(new FileInputStream(new File(fileName)));
    }

    FastScanner(InputStream is) {
        br = new BufferedReader(new InputStreamReader(is));
    }

    String nextLine() throws IOException {
        tokenizer = null;
        return br.readLine();
    }

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

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

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

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

    char nextChar() throws IOException {
        return next().charAt(0);
    }
}