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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class FastFoodRestaurant {
    public static void main(String[] args) throws IOException {
        int t,a,b,c;
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        t = Integer.parseInt(br.readLine());

        while (t-->0){
            String[] s = br.readLine().split(" ");

            a = Integer.parseInt(s[0]);
            b = Integer.parseInt(s[1]);
            c = Integer.parseInt(s[2]);
            if(a>3 && b>3 && c>3){
                System.out.println(7);
                continue;
            }

            if(a==0 && b==0 && c==0)
                System.out.println(0);
            else if(a==0 || b==0 || c==0){
                if(a==1 && b==1 || b==1 && c==1 || a==1 && c==1)
                    System.out.println(2);
                else if(a>1 && b>1 || b>1 && c>1 || a>1 && c>1)
                    System.out.println(3);
                else if(a==0 && b==0 || b==0 && c==0 || a==0 && c==0)
                    System.out.println(1);
                else
                    System.out.println(2);
            }
            else if(a==1 && b==1 || a==1 && c==1 || b==1 && c==1)
                System.out.println(3);
            else if(a==1 || b==1 || c==1)
                System.out.println(4);
            else if(a==2 && b==2 && c==2)
                System.out.println(4);
            else if(a==2 || b==2 || c==2)
                System.out.println(5);
            else
                System.out.println(6);

        }
    }
}
