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 whatever; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Ideone
{
	public static int x, y,z;
	public static int get2ndRes(){
		int res= 0;
		if(x>0 && y>0)
		{
			x--;
			y--;
			res++;
		}
		
		if(x>0 && z>0)
		{
			x--;
			z--;
			res++;
		}
		if(z>0 && y>0)
		{
			z--;
			y--;
			res++;
		}
		return res; 
	}
	public static int get1stRes(){
		int res = 0; 
		if(x>0){
			x--;
			res++;
		}
		if(y>0){
			y--;
			res++;
		}
		if(z>0){
			z--;
			res++;
		}
		return res;
	}
	public static void main (String[] args) throws java.lang.Exception
	{
		Scanner input = new Scanner(System.in);
		int t = input.nextInt();
		while(t-- > 0){
			int x1 = input.nextInt(), y1 = input.nextInt(), z1 = input.nextInt();
			x= Math.max(Math.max(x1,y1),z1);
			z= Math.min(Math.min(x1,y1),z1);
			y = x1+ y1+ z1 - x-z;
			int res = get1stRes();
			res += get2ndRes();
			if(x>0 && y>0 && z>0)
			res++;
			System.out.println(res);
		}
	}
}