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 codechef; // don't place package name! */

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

/* Name of the class has to be "Main" only if the class is public. */
public class Codechef
{
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String line = br.readLine();
		int t = Integer.parseInt(line);
		String[] strs;
		while(t>0){
		    line = br.readLine();
		    strs = line.trim().split("\\s+");
		    int a = Integer.parseInt(strs[0]);
		    int b = Integer.parseInt(strs[1]);
		    int c = Integer.parseInt(strs[2]);
		    System.out.println(maxVisitor(a, b, c));
		    t--;
		}
		
	}
	private static int maxVisitor(int a, int b, int c){
	    if(a==0&&b==0&&c==0) return 0;
	    if((a==0&&b==0)||(b==0&&c==0)||(a==0&&c==0)) return 1;
	    if(a==0||b==0||c==0){
	        if((a==1&&b==1)||(b==1&&c==1)||(a==1&&c==1)) return 2;
	        if(a==1||b==1||c==1) return 2;
	        return 3;
	        
	    }
	    
	    if((a==1&&b==1)||(b==1&&c==1)||(a==1&&c==1)) return 3;
	    if(a==1||b==1||c==1) return 4;
	    if(a==2&&b==2&&c==2) return 4;
	    if(a==2||b==2||c==2) return 5;
	    if(a==3||b==3||c==3) return 6;
	    return 7;
	    
	    
	}
	
}
