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.IOException;
import java.io.InputStream;
import java.util.InputMismatchException;

public class Solution 
{
	static InputReader in= new InputReader(System.in);
    public static void main(String args[]) {
        new Thread(null, new Runnable() {
            public void run() {
                try{
                    solve();
                }
                catch(Exception e){
                    e.printStackTrace();
                }
            }
        }, "1", 1 << 26).start();
    }
    
    public static void solve(){
    	int r = in.nextInt();
    	int g = in.nextInt();
    	int b = in.nextInt();
    	int res = 0;
    	res = Math.max(count(r, g, b, 0), Math.max(count(r, g, b, 1), count(r, g, b, 2)));
    	pn(res);
    }
    
    private static int count(int r, int g, int b, int mix) {
    	if(mix > r || mix > g || mix > b) return 0;
    	r -= mix; g -= mix; b -= mix;
    	return mix + r/3 + g/3 + b/3;
    }
   
    /*TEMPLATE*/
    
    //MATHS
    static int gcd(int a, int b) {
    	return (b==0)?a:gcd(b,a%b);
    }
    
    static long mod(long x, long p) {
        x %= p;
        if (x < 0)
            x += p;
        return x;
    }
    
    static long pow(long a, int b, int c)  {  
        if (a == 0)  
            return 0;  
        if (b == 0)  
            return 1;  
  
        long y;  
        if (b % 2 == 0) {  
            y = pow(a, b / 2, c);  
            y = (y * y) % c;  
        }
        else {  
            y = a % c;  
            y = (y * pow(a, b - 1,  c) % c) % c;  
        }  

        return ((y+c) % c);  
    }
    
    public static int[] spf(int maxn) {
    	int[] spf=new int[maxn+1];
    	spf[0]=spf[1]=1;
    	for(int i=2;i<=maxn;i++) {
    		if(i%2==0) spf[i]=2;
    		else 
    			spf[i]=i;
    	}
    	for(int i=3;i*i<=maxn;i++) {
    		if(spf[i]==i){
    			for (int j=i*i; j<=maxn; j+=i) 
                    if (spf[j]==j) 
                        spf[j] = i;
    		}
    	}
    	return spf;
    }
    
    //ARRAYS
    public static int[] intArray(int n) {
    	int ar[]=new int[n];
    	for(int i=0;i<n;i++)
    		ar[i]=in.nextInt();
    	return ar;
    }
    
    public static void swap(int i, int j, int ar[]) {
    	int c=ar[i];ar[i]=ar[j];ar[j]=c;
    }
    
    public static void reverse(int ar[]) {
    	int l=0, r=ar.length-1;
    	while(l<r) {
    		int temp=ar[l]; ar[l]=ar[r]; ar[r]=temp;
    		l++; r--;
    	}
    }
    
    public static int upperBound(int[] array, int value) {
    	//return next higher element. If greater than all elements then returns array.length
    	//returns 0 if smaller than all elements
    	int low = 0;
    	int high = array.length;
    	while (low < high) {
    		final int mid = (low + high) / 2;
    		if (value >= array[mid]) {
    			low = mid + 1;
    		} else {
    			high = mid;
    		}
    	}
    	return low;
    }
    
    public static int lowerBound(int[] array, int value) {
    	//Returns first occurrence.
    	//Bigger than all elements then return array.length
    	//Not found, then next greater.s
    	int low = 0;
    	int high = array.length;
    	while (low < high) {
    		final int mid = (low + high) / 2;
			if (value <= array[mid]) {
			high = mid;
			} else {
				low = mid + 1;
			}
    	}
    	return low;
	}
    
    public static void pn(Object o) {
      System.out.println(o);
    }
    
    static class InputReader {
 
        private InputStream stream;
        private byte[] buf = new byte[8192];
        private int curChar;
        private int snumChars;
        private SpaceCharFilter filter;
 
        public InputReader(InputStream stream) {
            this.stream = stream;
        }
 
        public int snext() {
            if (snumChars == -1)
                throw new InputMismatchException();
            if (curChar >= snumChars) {
                curChar = 0;
                try {
                    snumChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (snumChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }
 
        public int nextInt() {
            int c = snext();
            while (isSpaceChar(c))
                c = snext();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = snext();
            }
 
            int res = 0;
 
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
 
            return res * sgn;
        }
 
        public long nextLong() {
            int c = snext();
            while (isSpaceChar(c))
                c = snext();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = snext();
            }
 
            long res = 0;
 
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
 
            return res * sgn;
        }
 
        public String readString() {
            int c = snext();
            while (isSpaceChar(c))
                c = snext();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = snext();
            } while (!isSpaceChar(c));
            return res.toString();
        }
 
        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
 
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
}