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 CodeLife {
	public static void main(String[] args) throws Exception{
		codef c=new codef();
		float[][] k1=new float[3][3];
		k1[0][0]=(float)(3*(float)3/5);
		//System.out.println(k1[0][0]);
		String[] k= {"a","b","c"};
		c.main(k);
		
		
	}
	
}
class codef{
	public static void main(String[] args) throws IOException{
		BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
		BufferedWriter writer =new BufferedWriter(new OutputStreamWriter(System.out));
		int t=Integer.parseInt(reader.readLine().trim());
		while(t-->0) {
			String[] inpa=reader.readLine().trim().split("\\s+");
			int[] arr=new int[3];
			arr[0]=Integer.parseInt(inpa[0]);
			arr[1]=Integer.parseInt(inpa[1]);
			arr[2]=Integer.parseInt(inpa[2]);
			Arrays.sort(arr);
			int a=arr[2];int b=arr[1]; int c=arr[0];
			int count=0;
			if(a>0) {
				count++;
				a--;
			}
			if(b>0) {
				count++;
				b--;
			}
			if(c>0) {
				count++;
				c--;
			}
			if(a>0 && b>0) {
				count++;
				a--;
				b--;
			}
			if(a>0 && c>0) {
				a--;c--;count++;
			}
			if(b>0 && c>0) {
				count++;b--;c--;
			}
			if(a>0 && b>0 && c>0) {
				count++;a--;b--;c--;
			}
			writer.write(count+"\n");
		}
		writer.close();
	}
}