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.*;

public class contest190D2B {
	public static void main(String [] args) throws Exception {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		String [] s = in.readLine().split(" ");
		int r = Integer.parseInt(s[0]);
		int b = Integer.parseInt(s[1]);
		int g = Integer.parseInt(s[2]);
		
		int n = 0;
		if (r > 0) {
			n += (r - 1) / 3;
			r = (r - 1) % 3 + 1;
		}
		if (b > 0) {
			n += (b - 1) / 3;
			b = (b - 1) % 3 + 1;
		}
		if (g > 0) {
			n += (g - 1) / 3;
			g = (g - 1) % 3 + 1;
		}
		n += Math.max(Math.min(r, Math.min(b, g)), r / 3 + b / 3 + g / 3);
		System.out.println(n);
	}
}