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.lang.*;
import java.math.*;
import java.util.*;

public class A {
	 static InputReader in = new InputReader(System.in);
	 static PrintWriter out = new PrintWriter(System.out);
	 
	 public static void main(String[] args) {
		 int n = in.nextInt();
		 int[] arr = new int[3];
		 int count = 0;
		 while (n -- > 0)
		 {
			for(int i=0; i < 3; i++)
				arr[i]=in.nextInt();
			Arrays.sort(arr);
			if(arr[0]>0)
			{
				count++;
				arr[0]--;
			}
			if(arr[1]>0)
			{
				count++;
				arr[1]--;
			}
			if(arr[2]>0)
			{
				count++;
				arr[2]--;
			}
			if(arr[1]>0&&arr[2]>0)
			{
				count++;
				arr[2]--;
				arr[1]--;
			}
			
			if(arr[0]>0&&arr[1]>0)
			{
				count++;
				arr[0]--;
				arr[1]--;
			}
			if(arr[0]>0 && arr[2]>0)
			{
				count++;
				arr[0]--;
				arr[2]--;
			}
			if(arr[1]>0&&arr[2]>0 &&arr[0]>0)
			{
				count++;
				arr[0]--;
				arr[1]--;
				arr[2]--;
			}
			 out.println(count);
			 count=0;
		 }
		 out.close();
		
	 
	 }
	 static class InputReader {
	        public BufferedReader reader;
	        public StringTokenizer tokenizer;
	 
	        public InputReader(InputStream stream) {
	            reader = new BufferedReader(new InputStreamReader(stream), 32768);
	            tokenizer = null;
	        }
	 
	        public String next() {
	            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
	                try {
	                    tokenizer = new StringTokenizer(reader.readLine());
	                } catch (IOException e) {
	                    throw new RuntimeException(e);
	                }
	            }
	            return tokenizer.nextToken();
	        }
	 
	        public int nextInt() {
	            return Integer.parseInt(next());
	        }
	 
	        public long nextLong() {
	            return Long.parseLong(next());
	        }
	 
	        public double nextDouble() {
	            return Double.parseDouble(next());
	        }
	 
	        public String nextLine() {
	            try {
	                return reader.readLine();
	            } catch (Exception e) {
	                e.printStackTrace();
	            }
	            return null;
	        }
	 
	        public boolean hasNext() {
	            String next = null;
	            try {
	                next = reader.readLine();
	            } catch (Exception e) {
	            }
	            if (next == null) {
	                return false;
	            }
	            tokenizer = new StringTokenizer(next);
	            return true;
	        }
	 
	        public BigInteger nextBigInteger() {
	            return new BigInteger(next());
	        }
	      
	    }
	}
