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.Scanner;


public class NewClass1 {
    public static void main(String[] args) {
        int i,j,k,l,m,n;
        Scanner scan=new Scanner(System.in);
        int tests =scan.nextInt();
        for(l=0;l<tests;l++){
            int s1,s2,s3;
            s1=scan.nextInt();
            s2=scan.nextInt();
            s3=scan.nextInt();
            int ans=7;
            if(s1<4||s2<4||s3<4){
                ans--;
            }
            if(s1<3||s2<3||s3<3){
                ans--;
            }
            if(s1==2&&s2==2&&s3==2){
                ans=4;
                System.out.println(ans);
                continue;
            }
            if(s1<2){
                ans--;
                if(s2<2||s3<2){
                    ans--;
                }
            }
            else if(s2<2){
                ans--;
                if(s3<2||s1<2){
                    ans--;
                }
            }
            else if(s3<2){
                ans--;
                if(s2<2||s1<2){
                    ans--;
                }
            }
            int cnt=0;
            if(s1<1){
                cnt++;
            }
            if(s2<1){
                cnt++;
            }
            if(s3<1){
                cnt++;
            }
            ans=ans-cnt;
            System.out.println(ans);
        }
    }
}
