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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.Collections;

public class A1313 {
    static int[] strToInts(String s) {
        String[] strings = s.split(" ");
        int[] ints = new int[strings.length];
        for (int i = 0; i < strings.length; i++) {
            ints[i] = Integer.parseInt(strings[i]);
        }
        return ints;
    }

    public static void main(String[] args) throws IOException {
        BufferedReader a = new BufferedReader(new InputStreamReader(System.in));
        int g = Integer.parseInt(a.readLine());
        for (int i = 0; i < g; i++) {
            int[] s = strToInts(a.readLine());
            Arrays.sort(s);
            int l = s[2];
            int h = s[1];
            int y = s[0];
            int d = 0;
            if (l > 0) {
                d++;
                l--;
            }
            if (h > 0) {
                d++;
                h--;
            }
            if (y > 0) {
                d++;
                y--;
            }
            if (h > 0 && l > 0) {
                d++;
                h--;
                l--;
            }
            if (l > 0 && y > 0) {
                d++;
                l--;
                y--;
            }
            if (h > 0 && y > 0) {
                d++;
                h--;
                y--;
            }
            if (l > 0 && y > 0 && h > 0) {
                d++;
            }

            System.out.println(d);
        }

    }
}
