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.*;
import java.io.*;
public class EdA {

	public static void main(String[] args) throws Exception{
		int num = 998244353;

		// TODO Auto-generated method stub
 		BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
 		PrintWriter out = new PrintWriter(System.out);
 		int t = Integer.parseInt(bf.readLine());
 		for(int i = 0;i<t;i++){
//	 		String input1 = bf.readLine().trim();
//	 		String input2 = bf.readLine().trim();
	 		StringTokenizer st = new StringTokenizer(bf.readLine());
	 		int[] array = new int[3];
	 		int a = Integer.parseInt(st.nextToken());
	 		int b = Integer.parseInt(st.nextToken());
	 		int c = Integer.parseInt(st.nextToken());
	 		array[0] = a;
	 		array[1] = b;
	 		array[2] = c;
	 		Arrays.sort(array);
	 		a = array[2];
	 		b = array[1];
	 		c = array[0];
	 		int count = 0;
	 		if (a!=0){
	 			a--;
	 			count++;
	 		}
	 		if (b!=0){
	 			b--;
	 			count++;
	 		}
	 		if (c!=0){
	 			c--;
	 			count++;
	 		}
	 		if (a!=0 && b!= 0){
	 			a--;
	 			b--;
	 			count++;
	 		}
	 		if (a!=0 && c!= 0){
	 			a--;
	 			c--;
	 			count++;
	 		}
	 		if (c!=0 && b!= 0){
	 			c--;
	 			b--;
	 			count++;
	 		}
	 		
	 		if (a!=0 && b!= 0 && c!= 0){
	 			a--;
	 			b--;
	 			c--;
	 			count++;
	 		}
	 		out.println(count);
 		}
 		
 		
 		out.println();
	 		
 		out.close();
 		
 		
 		
 	}
}
 	
 
//StringJoiner sj = new StringJoiner(" "); 
//sj.add(strings)
//sj.toString() gives string of those stuff w spaces or whatever that sequence is

 		
 		
 		
 		
	


