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.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.nio.ByteBuffer;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.PriorityQueue;
import java.util.Stack;

//: God does not play dice with the world :)
 public class Main{
     

     public static void main(String[] args) throws IOException {
//        String IN = "C:\\Users\\ugochukwu.okeke\\Desktop\\in.file";
//        String OUT = "C:\\Users\\ugochukwu.okeke\\Desktop\\out.file";
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
        //System.out.println((-50+50*15)%15);
        //int n = Integer.parseInt(br.readLine());
        String[] in = br.readLine().split(" ");
        int a = Integer.parseInt(in[0]);
        int b = Integer.parseInt(in[1]);
        int c = Integer.parseInt(in[2]);
        int[] y = {a,b,c};
        long ans = 0;
        for(int i=0;i<y.length;i++) {
            int x = y[i]%3;
            if(x <= Math.min(a, Math.min(b, c))){
                ans = Math.max(ans, x+(a-x)/3 + (b-x)/3 + (c-x)/3);
            }
        }
        System.out.println(ans);
        bw.close();
     }

    

    
 }