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 ffr {

	public static void main(String[] args) throws IOException {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		PrintWriter out = new PrintWriter(System.out);
		int c = Integer.parseInt(in.readLine());
		
		int dumplings= 0;
		int cran = 0;
		int pan = 0;
	
		for(int cases=0; cases<c; cases++) {
			int countones=0;
			int countzeroes=0;
			int counttwos=0;
			int countthrees=0;
			StringTokenizer st = new StringTokenizer(in.readLine());
			dumplings = Integer.parseInt(st.nextToken());
			cran = Integer.parseInt(st.nextToken());
			pan = Integer.parseInt(st.nextToken());
			if(dumplings==1) {
				countones++;
			}
			if(cran==1) {
				countones++;
			}
			if(pan==1) {
				countones++;
			}
			if(dumplings==0) {
				countzeroes++;
			}
			if(cran==0) {
				countzeroes++;
			}
			if(pan==0) {
				countzeroes++;
			}
			if(dumplings==2) {
				counttwos++;
			}
			if(cran==2) {
				counttwos++;
			}
			if(pan==2) {
				counttwos++;
			}
			if(dumplings==3) {
				countthrees++;
			}
			if(cran==3) {
				countthrees++;
			}
			if(pan==3) {
				countthrees++;
			}
		
		
		if(countones>1) {
			if(countzeroes==1) {
				System.out.println(2);
			} else {
				System.out.println(3);
			}
		}
		else if(countones==1) {
			if(countzeroes==1)
				System.out.println(2);
			if(countzeroes==2)
				System.out.println(1);
			else if(countzeroes == 0)
				System.out.println(4);
		}
		else if(countzeroes==1) {
			if(countones==0) {
				System.out.println(3);
			}
			else
				System.out.println(2);
		}
		else if(countzeroes==2) {
			System.out.println(1);
		}
		else if(countzeroes==3) {
			System.out.println(0);
		}
		else if((countthrees==3 || countthrees==2 || countthrees==1) &&counttwos==0) {
			System.out.println(6);
		}
	
		else if(dumplings>2 && cran>2 && pan>2) {
			System.out.println(7);
		}
		
		else if(counttwos==3) {
			System.out.println(4);
		}
		else if(counttwos==2 || counttwos==1) {
			System.out.println(5);
		}
	}
		in.close();
		out.close();
	}

}