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.
//package tets;

import java.io.*;
import java.util.*;
public class Solution{
   
	public static void main(String[]args) throws Exception
	{
    	  BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
    	  int tc=Integer.parseInt(br.readLine());
    	 
    	 for(int t=0;t<tc;t++)
    	 {
        	String[]S=br.readLine().split(" ");
        	
        	int a=Integer.parseInt(S[0]);
        	int b=Integer.parseInt(S[1]);
        	int c=Integer.parseInt(S[2]);
        	
        	int steps=0;
        	
        	if(a-1>=0)
        	{
        	    a=a-1;
        	    steps++;
        	}
        	if(b-1>=0)
        	{
        	    b=b-1;
        	    steps++;
        	}
        	if(c-1>=0)
        	{
        	    c=c-1;
        	    steps++;
        	}
        	
        	if(a>=b && a>=c)
        	{
        	    if(a-1>=0 && b-1>=0)
        	    {
        	        a=a-1;
        	        b=b-1;
        	        steps++;
        	    }
        	    
        	    if(a-1>=0 && c-1>=0)
        	    {
        	        a=a-1;
        	        c=c-1;
        	        steps++;
        	    }
        	    	if(b-1>=0 && c-1>=0)
        	    {
            	    b=b-1;
            	    c=c-1;
            	    steps++;
        	    }
        	    
        	}
        	else if(b>=a && b>=c)
        	{
            	if(a-1>=0 && b-1>=0)
            	{
            	    a=a-1;
            	    b=b-1;
            	    steps++;
            	    
            	}
            	
            	if(b-1>=0 && c-1>=0)
        	    {
            	    b=b-1;
            	    c=c-1;
            	    steps++;
        	    }
        	    if(a-1>=0 && c-1>=0)
            	{
            	    a=a-1;
            	    c=c-1;
            	    
            	    steps++;
            	}
        	}
        	else 
        	{
            	if(a-1>=0 && c-1>=0)
            	{
            	    a=a-1;
            	    c=c-1;
            	    
            	    steps++;
            	}
            	if(b-1>=0 && c-1>=0)
            	{
            	    b=b-1;
            	    c=c-1;
            	    steps++;
            	}
                if(a-1>=0 && b-1>=0)
            	{
            	    a=a-1;
            	    b=b-1;
            	    steps++;
            	    
            	}
        	}
        	
        	if(a-1>=0 && b-1>=0 && c-1>=0)
        	{
        	    a=a-1;
        	    b=b-1;
        	    c=c-1;
        	    steps++;
        	}
        	
        	System.out.println(steps);
        
    	 }
	}

}