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.math.*;

public class B322 {
    static char[] sarr;
    public static void main(String[] args) throws IOException {
        FastScanner fs=new FastScanner();
        PrintWriter out = new PrintWriter(System.out);
        // int T = 1;

        // int T=fs.nextInt();
        // for (int tt=0; tt<T; tt++) {
        // }
        int x = fs.nextInt();
        int y = fs.nextInt();
        int z = fs.nextInt();

        int ans = 0;
        ans+=Math.min(x, Math.min(y,z));
        x-=ans;
        y-=ans;
        z-=ans;
        if (((y%3==2 && z%3==2) ||(x%3==2 && z%3==2) || (x%3==2&&y%3==2)) && ans!=0){
            ans++;
        }
        ans+=x/3;
        ans+=y/3;
        ans+=z/3;
        
        out.println(ans);
        out.close();
    }

    static final Random random=new Random();
    
    static void ruffleSort(int[] a) {
        int n=a.length;//shuffle, then sort 
        for (int i=0; i<n; i++) {
            int oi=random.nextInt(n), temp=a[oi];
            a[oi]=a[i]; a[i]=temp;
        }
        Arrays.sort(a);
    }
    
    static class FastScanner {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st=new StringTokenizer("");
        String next() {
            while (!st.hasMoreTokens())
                try {
                    st=new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            return st.nextToken();
        }
        
        int nextInt() {
            return Integer.parseInt(next());
        }
        int[] readArray(int n) {
            int[] a=new int[n];
            for (int i=0; i<n; i++) a[i]=nextInt();
            return a;
        }
        long nextLong() {
            return Long.parseLong(next());
        }
    }

}
