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.io.*;
import java.util.*;
public class Main
{
	public static void main(String[] args)throws IOException {
		InputStreamReader read=new InputStreamReader(System.in);
		BufferedReader in=new BufferedReader(read);
		int t=Integer.parseInt(in.readLine());
		int z;
		for(z=0;z<t;z++)
		{
		    int i;
		    String str=in.readLine();
		    String line[]=str.trim().split(" ");
		    int arr[]=new int[3];
		    arr[0]=Integer.parseInt(line[0]);
		    arr[1]=Integer.parseInt(line[1]);
		    arr[2]=Integer.parseInt(line[2]);
		    Arrays.sort(arr);
		    int count=0;
		    if(arr[0]>0)
		    {
		        arr[0]--;
		        count++;
		    }
		    if(arr[1]>0)
		    {
		        arr[1]--;
		        count++;
		    }
		    if(arr[2]>0)
		    {
		        arr[2]--;
		        count++;
		    }
		    if(arr[2]>0 && arr[1]>0)
		    {
		            arr[2]--;
		            arr[1]--;
		            count++;
		    }
		    if(arr[2]>0 && arr[0]>0)
		    {
		        arr[2]--;
		        arr[0]--;
		        count++;
		    }
		    if(arr[1]>0 && arr[0]>0)
		    {
		        arr[1]--;
		        arr[0]--;
		        count++;
		    }
		    if(arr[1]>0 && arr[2]>0 && arr[0]>0)
		    {
		        count++;
		    }
		    System.out.println(count);
		}
	}
}
