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.StringTokenizer;

public class damplings {
    public static void main(String[] args) throws IOException {
        Scanner scan = new Scanner(System.in);
        PrintWriter pw = new PrintWriter(System.out);

        int t = scan.nextInt();
        for (int i = 0; i < t; i++) {
            int a = scan.nextInt();
            int b = scan.nextInt();
            int c = scan.nextInt();
            int ans = 0;

            int temp = 0;
            if (a > b) {
                temp = a;
                a = b;
                b = temp;
            }
            if (b > c) {
                temp = b;
                b = c;
                c = temp;
            }
            if (a > b) {
                temp = a;
                a = b;
                b = temp;
            }

            if (c > 0) {
                c--;
                ans++;
            }
            if (b > 0) {
                b--;
                ans++;
            }
            if (a > 0) {
                a--;
                ans++;
            }
            if (c > 0 && b > 0) {
                c--;
                b--;
                ans++;
            }
            if (b > 0 && a > 0) {
                b--;
                a--;
                ans++;
            }
            if (a > 0 && c > 0) {
                a--;
                c--;
                ans++;
            }

            if (a > 0 && b > 0 && c > 0) {
                ans++;
            }
            System.out.println(ans);
        }

        pw.close();
    }


    static class Scanner {
        StringTokenizer st;
        BufferedReader br;

        public Scanner(InputStream s) {
            br = new BufferedReader(new InputStreamReader(s));
        }

        public Scanner(String file) throws FileNotFoundException {
            br = new BufferedReader(new FileReader(file));
        }

        public String next() throws IOException {
            while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }

        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }

        public long nextLong() throws IOException {
            return Long.parseLong(next());
        }

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

        public double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }

        public boolean ready() throws IOException {
            return br.ready();
        }
    }
}
