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

public class Div2B {

	public static void main(String[] args) throws IOException {
		new Div2B().run();
	}

	FastScanner in;
	PrintWriter out;

	void run() throws IOException {
		in = new FastScanner(System.in);
		out = new PrintWriter(System.out, true);
		solve();
		out.close();
	}

	void solve() throws IOException {
		int r = in.nextInt();
		int g = in.nextInt();
		int b = in.nextInt();
		int result = 0;
		for (int i = 0; i < 3; i++) {
			if (i > r || i > g || i > b)
				break;
			result = Math.max(result, i + (r - i) / 3 + (g - i) / 3 + (b - i) / 3);
		}
		out.println(result);
	}

	static class FastScanner {

		BufferedReader br;
		StringTokenizer st;

		FastScanner(InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
			st = null;
		}

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

		String nextLine() throws IOException {
			if (st == null || !st.hasMoreTokens())
				return br.readLine();
			StringBuilder result = new StringBuilder(st.nextToken());
			while (st.hasMoreTokens()) {
				result.append(" ");
				result.append(st.nextToken());
			}
			return result.toString();
		}

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

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

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

	}

}
