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.
//Date: Oct 21, 2013 
//Time: 10:59:41 AM

import java.util.*;
import java.io.*;

public class B322 implements Runnable {

	public void solve() throws IOException {
		int r = nextInt();
		int g = nextInt();
		int b = nextInt();
		
		int rr = r;
		int gg = g;
		int bb = b;
		
		int min = Math.min(r, Math.min(g, b));
		rr -= min;
		gg -= min;
		bb -= min;
		
		min += rr / 3; rr = rr % 3;
		min += gg / 3; gg = gg % 3;
		min += bb / 3; bb = bb % 3;
		
		if(rr == 2 && gg == 2 && b != 0) min++;
		else if(gg == 2 && bb == 2 && r != 0) min++;
		else if(rr == 2 && bb == 2 && g != 0) min++;
		
		System.out.println(min);
	}

	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	//-----------------------------------------------------------
	public static void main(String[] args) {
		new B322().run();
	}

	public void run() {
		try {
			in = new BufferedReader(new InputStreamReader(System.in));
			tok = null;
			solve();
			in.close();
		} catch (IOException e) {
			System.exit(0);
		}
	}

	public String nextToken() throws IOException {
		while (tok == null || !tok.hasMoreTokens()) {
			tok = new StringTokenizer(in.readLine());
		}
		return tok.nextToken();
	}

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

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

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

	BufferedReader in;
	StringTokenizer tok;
}
/**
public class B322 {

}
 
*/