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.
import java.io.*;
import java.util.*;
public final class Main{
public static void main(String[] args){
       Scanner sc = new Scanner(System.in);
        int t = sc.nextInt();
        while(t-->0){

            int a = sc.nextInt();
            int b = sc.nextInt();
            int c = sc.nextInt();
            int[] count = new int[5];
            if(a>=4){
                count[4]++;
            }
            else{
                count[a]++;
            }
            if(b>=4){
                count[4]++;
            }
            else{
                count[b]++;
            }
            if(c>=4){
                count[4]++;
            }
            else{
                count[c]++;
            }


            if(count[0]==3){
                System.out.println(0);
            }
            else if(count[0]==2){
                System.out.println(1);
            }
            else if(count[0] == 1){
                if(count[1]==0){
                    System.out.println(3);
                }
                else{
                    System.out.println(2);
                }
            }
            else{
                if(count[1]==3 || count[1]==2){
                    System.out.println(3);
                }
                else if(count[1]==1){
                    System.out.println(4);
                }
                else{
                    if(count[2]==3){
                        System.out.println(4);
                    }
                    else if(count[2]==2 || count[2]==1){
                        System.out.println(5);
                    }
                    else{
                        if(count[3]==3 || count[3]==2 || count[3]==1){
                            System.out.println(6);
                        }
                        else {
                            System.out.println(7);
                        }
                    }
                }
            }

        }
    }    
}