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.util.ArrayList;
import java.util.List;
import java.util.Scanner;
import java.util.stream.Collectors;
import java.util.stream.Stream;

public class FastFoodRestaurant {
    private static final int [][] combinations = {{0,0,1}, {0,1,0}, {1,0,0}, {0, 1, 1}, {1, 0, 1}, {1, 1, 0}, {1, 1, 1}};


    static int getGuestsCount(int food1Count, int food2Count, int food3Count){

        var list = Stream.of(food1Count, food2Count, food3Count)
                .sorted()
                .collect(Collectors.toList());

        food1Count = list.get(0);
        food2Count = list.get(1);
        food3Count = list.get(2);

        int guestsCount = 0;
        for (int[] combination : combinations){
            

            if(food1Count >= combination[0] && food2Count >= combination[1] && food3Count >= combination[2]){
                guestsCount += 1;
                food1Count -= combination[0];
                food2Count -= combination[1];
                food3Count -= combination[2];
            }
        }
        return guestsCount;
    }

    public static void main(String[] args) {
        List<Integer> results = new ArrayList<>();
        Scanner in = new Scanner(System.in);
        int num = in.nextInt();
        for (int i = 0; i < num; i++) {
            int a = in.nextInt();
            int b = in.nextInt();
            int c = in.nextInt();
        results.add(getGuestsCount(a, b, c));
    }
        for(int result : results){
            System.out.println(result);
        }
}}
