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.Collections;
import java.util.Scanner;

public class A1313 {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int t = scanner.nextInt();
        while (t-- > 0) {
            int a = scanner.nextInt(), b = scanner.nextInt(), c = scanner.nextInt();
            int ans = 0;
            if (a > 0) {
                a--;
                ans++;
            }
            if (b > 0) {
                b--;
                ans++;
            }
            if (c > 0) {
                c--;
                ans++;
            }

            ArrayList<Integer> list = new ArrayList<>();
            list.add(a);
            list.add(b);
            list.add(c);
            list.sort(Collections.reverseOrder());
            a = list.get(0);
            b = list.get(1);
            c = list.get(2);

            if (a > 0 && b > 0) {
                a--;
                b--;
                ans++;
            }
            if (b > 0 && c > 0) {
                b--;
                c--;
                ans++;
            }
            if (a > 0 && c > 0) {
                a--;
                c--;
                ans++;
            }
            if (a > 0 && b > 0 && c > 0) {
                a--;
                b--;
                c--;
                ans++;
            }
            System.out.println(ans);
        }
    }
}
