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.lang.*;
import java.util.*;
public class A662 {

    
    public static void main(String[] args) {
        Scanner sc=new Scanner(System.in);
        int t=sc.nextInt();
        for(int w=0;w<t;w++){
            int a[]=new int [3];
            a[0]=sc.nextInt();
            a[1]=sc.nextInt();
            a[2]=sc.nextInt();
            Arrays.sort(a);
            System.out.println(calc(a[0],a[1],a[2]));
        }
    }static int calc(int a,int b,int c){
        if(a<4){
            switch(a){
                case 0:
                            if(b>1){
                                return 3;
                            }else if(b>0){
                                return 2;
                            }else{
                                if(c>0){
                                    return 1;
                                }else{
                                    return 0;
                                }
                            }
                        
                
                case 1:     
                            if(b>1){
                                return 4;
                            }else{
                                return 3;
                            }
                    
                case 2:
                    
                            if(b>2||c>2){
                                return 5;
                            }else{
                                return 4;
                            }
                    
                case 3:
                            return 6;
            }
        
        
       
        
    }
    return 7;
    
}
}