Tired of boring office work, Denis decided to open a fast food restaurant.

On the first day he made a portions of dumplings, b portions of cranberry juice and c pancakes with condensed milk.

The peculiarity of Denis's restaurant is the procedure of ordering food. For each visitor Denis himself chooses a set of dishes that this visitor will receive. When doing so, Denis is guided by the following rules:

  * every visitor should receive at least one dish (dumplings, cranberry juice, pancakes with condensed milk are all considered to be dishes); 
  * each visitor should receive no more than one portion of dumplings, no more than one portion of cranberry juice and no more than one pancake with condensed milk; 
  * all visitors should receive different sets of dishes. 



What is the maximum number of visitors Denis can feed?

Input

The first line contains an integer t (1 ≤ t ≤ 500) — the number of test cases to solve.

Each of the remaining t lines contains integers a, b and c (0 ≤ a, b, c ≤ 10) — the number of portions of dumplings, the number of portions of cranberry juice and the number of condensed milk pancakes Denis made.

Output

For each test case print a single integer — the maximum number of visitors Denis can feed.

Example

Input

7
1 2 1
0 0 0
9 1 7
2 2 3
2 3 2
3 2 2
4 4 4


Output

3
0
4
5
5
5
7

Note

In the first test case of the example, Denis can feed the first visitor with dumplings, give the second a portion of cranberry juice, and give the third visitor a portion of cranberry juice and a pancake with a condensed milk.

In the second test case of the example, the restaurant Denis is not very promising: he can serve no customers.

In the third test case of the example, Denise can serve four visitors. The first guest will receive a full lunch of dumplings, a portion of cranberry juice and a pancake with condensed milk. The second visitor will get only dumplings. The third guest will receive a pancake with condensed milk, and the fourth guest will receive a pancake and a portion of dumplings. Please note that Denis hasn't used all of the prepared products, but is unable to serve more visitors.
//package codeforces;
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.util.StringTokenizer;
import java.util.*;
import java.util.ArrayList;
public final class Codeforces {
             static int p=1000000007;
    public static void main(String[] args) throws Exception{
        BufferedWriter out = new BufferedWriter(new OutputStreamWriter(new FileOutputStream(java.io.FileDescriptor.out), "ASCII"), 512);        
        FastReader sc = new FastReader();
        int tc,n,a,b,c,ans;
        tc=sc.nextInt();
        while(tc-->0)
        {          
           ans=0;
           a=sc.nextInt();
           b=sc.nextInt();
           c=sc.nextInt();
           int v[]=new int[]{a,b,c};
           Arrays.sort(v);
           a=v[2];b=v[1];c=v[0];
      //System.out.println("a b c"+a+" "+b+" "+c);
           if(a!=0){ans++;a--;}if(b!=0){ans++;b--;}if(c!=0){ans++;c--;}
      if(a!=0&&b!=0){ans++;a--;b--;}if(a!=0&&c!=0){ans++;a--;c--;}if(b!=0&&c!=0){ans++;b--;c--;}if(a!=0&&b!=0&&c!=0){ans++;a--;b--;c--;}
    // System.out.println("a b c"+a+" "+b+" "+c);
           out.write(ans+""+'\n');
        }
        out.flush();

    }
   
    static class FastReader {        

        BufferedReader br;        
        StringTokenizer st;        
        
        public FastReader() {            
            br = new BufferedReader(new InputStreamReader(System.in));            
        }        
        
        String next() {            
            while (st == null || !st.hasMoreElements()) {                
                try {                    
                    st = new StringTokenizer(br.readLine());                    
                } catch (IOException e) {                    
                    e.printStackTrace();                    
                }                
            }            
            return st.nextToken();            
        }        
        
        int nextInt() {            
            return Integer.parseInt(next());            
        }        
        
        long nextLong() {            
            return Long.parseLong(next());            
        }        
        
        double nextDouble() {            
            return Double.parseDouble(next());            
        }        
        
        String nextLine() {            
            String str = "";            
            try {                
                str = br.readLine();                
            } catch (IOException e) {                
                e.printStackTrace();                
            }            
            return str;            
        }        
    }   
    
    
    ///////////////////////////////////////////////////////////////////////////////////////////////////////// 
}
