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;
import java.util.Arrays;
import java.util.Scanner;

public class Solution{
    public static void main(String[] args) throws IOException {
        BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
        Scanner scanner;
        int[] a = new int[3];
        boolean[] b = new boolean[3];
        int t = Integer.parseInt(reader.readLine()), count;
        for (int i = 0; i < t; i++){
            count = 0;
            b[0] = true;
            b[1] = true;
            b[2] = true;
            count = 0;
            scanner = new Scanner(reader.readLine());
            for (int k = 0; k < 3; k++){
                a[k] = scanner.nextInt();
            }
            for (int k = 0; k < 3; k++){
                if (a[k] > 0){
                    count++;
                    a[k]--;
                }
            }
            Arrays.sort(a);
            if (a[0] > 2 && a[1] > 2 && a[2] > 2){
                count += 4;
            } else {
                if (a[0] > 1 && a[1] > 1 && a[2] > 1){
                    count += 3;
                } else {
                    if (a[2] > 0 && a[0] > 0) {
                        count++;
                        a[2]--;
                        a[0]--;
                    }
                    if (a[2] > 0 && a[1] > 0){
                        count++;
                    }
                }
            }
            System.out.println(count);
        }
    }
}