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.*;

/**
 * Created by Ayushi on 23 Feb 2020.
 * Problem:
 * Round:
 */

public class A {
    public static void main(String[] args) throws IOException {
        StringTokenizer st;
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String temp = br.readLine();
        int t = Integer.parseInt(temp);

        while (t-- > 0) {
            temp = br.readLine();
            st = new StringTokenizer(temp, " ");
            //int[] a = new int[3];
            //int j = 0;
            //while (st.hasMoreTokens()) {
                //a[j] = Integer.parseInt(st.nextToken());
                //j++;
            //}
            int a = Integer.parseInt(st.nextToken());
            int b = Integer.parseInt(st.nextToken());
            int c = Integer.parseInt(st.nextToken());

            int x = a;
            a = Math.max(a, c);
            c = Math.min(x, c);
            x = a;
            a = Math.max(a, b);
            b = Math.min(x, b);
            x = b;
            b = Math.max(b, c);
            c = Math.min(x, c);

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

            System.out.println(ans);
        }
        br.close();
    }
}
