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.
// package mainpackage;

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

public class Main {
	public static void main(String... args) throws Exception {
		new Main().solve();
	}
	
	private BufferedReader reader;
	private StringTokenizer st;
	private int[] data = new int[3];
	
	private void solve() throws Exception {
		
		reader = new BufferedReader(new InputStreamReader(System.in));
		
		st = new StringTokenizer(reader.readLine());
		
		data[0] = Integer.parseInt(st.nextToken());
		data[1] = Integer.parseInt(st.nextToken());
		data[2] = Integer.parseInt(st.nextToken());
		
		reader.close();
		
		int border = Math.min(2, Math.min(data[0], Math.min(data[1], data[2])));
		
		int ans = 0;
		for (int k = 0; k <= border; ++k) {
			ans = Math.max(ans, k + (data[0] - k) / 3 + (data[1] - k) / 3 + (data[2] - k) / 3);
		}
		
		System.out.println(ans);
	}
}
