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
{
	public static void main(String[] args) {
	    Scanner in=new Scanner(System.in);
	    
	    int i,t,d,c,p,b=0;
	    t=in.nextInt();
	    for(i=0;i<t;i++)
	    {
	        d=in.nextInt();
	        c=in.nextInt();
	        p=in.nextInt();
	    
	    
	        if(d>=4&&c>=4&&p>=4)
	    {
	        b=7;
	    }
	     else if(d==3&&c>=3&&p>=3||d>=3&&c==3&&p>=3||d>=3&&c>=3&&p==3)
	     {
	         b=6;
	     }
	     else if(d>=3&&c>=2&&p==2||d==2&&c>=3&&p>=3||d>=2&&c>=3&&p==2||d>=3&&c==2&&p>=2||d==2&&c>=2&&p>=3||d>=2&&c==2&&p>=3)
	    {
	        b=5;
	    }
	    else if(d>=2&&c>=2&&p<2&&p>0||d<2&&c>=2&&p>=2&&d>0||d>=2&&c<2&&p>=2&&c>0||d==2&&c==2&&p==2)
	    {
	        b=4;
	    }
	   
	     else if(d==1&&c==1&&p>=1||d==1&&c>=1&&p==1||d>=1&&c==1&&p==1||d==0&&c>=2&&p>=2||d>=2&&c==0&&p>=2||d>=2&&c>=2&&p==0)
	    {
	        b=3;
	    }
	    else if(d>=1&&c==1&&p==0||d>=1&&c==0&&p==1||d==1&&c==0&&p>=1||d==0&&c==1&&p>=1||d==0&&c>=1&&p==1||d==1&&c>=1&&p==0)
	    {
	        b=2;
	    }
	    else if(d>=1&&c==0&&p==0||d==0&&c==0&&p>=1||d==0&&c>=1&&p==0)
	    {
	        b=1;
	    }
	    
	    
	    else
	    {
	        b=0;
	    }
	    System.out.println(b);
	    }
	}
	
}
