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.*;

public class Main {
    static int a;
    static int b ;
    static int c ;
    static int ans = 0;
    
    public static void main(String[] args){
        Scanner input = new Scanner(System.in);
        int t = input.nextInt();
        while (t-- > 0) {
            a =input.nextInt();
            b =input.nextInt();
            c =input.nextInt();
            ans = 0;
            if (a != 0) {
                ans++; a--;
            }
            if (b != 0) {
                ans++; b--;
            }
            if (c != 0) {
                ans++; c--;
            }
            Change();
            Next();
            System.out.println(ans);;
        }
    }

    private static void Change() {
        if (a < b) {
            a = a - b;
            b = a + b;
            a = b - a;
        }
        if (a < c) {
            a = a - c;
            c = a + c;
            a = c - a;
        }
    }

    private static void Next() {
        if (a != 0 && b != 0) {
            ans++; a--; b--;
        }
        if (a != 0 && c != 0) {
            ans++; a--; c--;
        }
        if(b != 0 && c != 0) {
            ans++; b--; c--;
        }
        if (a != 0 && b != 0 && c != 0) {
            ans++;
        }
    }
}
