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.time.Clock;
import java.util.ArrayList;
import java.util.Comparator;
import java.util.List;

/**
 * 11.07.2020
 * Main
 *
 * @author Havlong
 * @version v1.0
 */

public class Main {
    public static final int M7 = 1000000007;
    public static final int M9 = 1000000009;
    public static final long MFFT = 998244353;
    public static final long INF = 2000000000000000000L;
    private final BufferedReader reader;

    public Main(Reader reader) {
        this.reader = new BufferedReader(reader);
    }

    public static void main(String[] args) {
        if (args.length > 0 && "local".equals(args[0])) {
            try (InputStreamReader streamReader = new FileReader("input.txt");
                 PrintWriter writer = new PrintWriter(new File("output.txt"))) {
                Main main = new Main(streamReader);
                Clock clock = Clock.systemDefaultZone();
                while (main.hasNext()) {
                    long start = clock.millis();
                    main.solve(writer);
                    writer.println("\n" + (clock.millis() - start) + " ms\n");
                    main.skipSpaces();
                }
            } catch (IOException exception) {
                exception.printStackTrace();
            }
        } else {
            try (InputStreamReader reader = new InputStreamReader(System.in); PrintWriter writer = new PrintWriter(System.out)) {
                Main main = new Main(reader);
                main.solve(writer);
            } catch (IOException exception) {
                exception.printStackTrace();
            }
        }

    }

    private void solve(PrintWriter writer) throws IOException {
        int t = Integer.parseInt(readLine());
        while (t-- > 0) {
            List<Long> input = longList();
            input.sort(Comparator.reverseOrder());
            int answer = 0;
            if (input.get(0) > 0) {
                answer++;
                input.set(0, input.get(0) - 1);
            }
            if (input.get(1) > 0) {
                answer++;
                input.set(1, input.get(1) - 1);
            }
            if (input.get(2) > 0) {
                answer++;
                input.set(2, input.get(2) - 1);
            }
            if (input.get(0) > 0 && input.get(1) > 0) {
                answer++;
                input.set(0, input.get(0) - 1);
                input.set(1, input.get(1) - 1);
            }
            if (input.get(0) > 0 && input.get(2) > 0) {
                answer++;
                input.set(0, input.get(0) - 1);
                input.set(2, input.get(2) - 1);
            }
            if (input.get(2) > 0 && input.get(1) > 0) {
                answer++;
                input.set(2, input.get(2) - 1);
                input.set(1, input.get(1) - 1);
            }
            if (input.get(0) > 0 && input.get(2) > 0 && input.get(1) > 0) {
                answer++;
                input.set(0, input.get(0) - 1);
                input.set(2, input.get(2) - 1);
                input.set(1, input.get(1) - 1);
            }
            writer.println(answer);
        }
    }

    private int peek() throws IOException {
        reader.mark(1);
        int readElement = reader.read();
        reader.reset();
        return readElement;
    }

    public boolean hasNext() throws IOException {
        return peek() != -1;
    }

    public void skipSpaces() throws IOException {
        while (Character.isWhitespace(peek())) {
            int ignored = reader.read();
        }
    }

    public String readLine() throws IOException {
        return reader.readLine();
    }

    public List<Long> longList() throws IOException {
        String[] s = readLine().split(" ");
        ArrayList<Long> list = new ArrayList<>(s.length);
        for (String value : s) {
            list.add(Long.parseLong(value));
        }
        return list;
    }

    public List<Integer> intList() throws IOException {
        String[] s = readLine().split(" ");
        ArrayList<Integer> list = new ArrayList<>(s.length);
        for (String value : s) {
            list.add(Integer.parseInt(value));
        }
        return list;
    }
}
