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 static java.lang.Integer.parseInt;

public class FastFoodRestaurant {

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int t = parseInt(br.readLine());
        while (t-- > 0) {
            String s[] = br.readLine().split("\\s");
            int a = parseInt(s[0]);
            int b = parseInt(s[1]);
            int c = parseInt(s[2]);
            System.out.println(solve(a, b, c));
        }
    }

    private static int solve(int a, int b, int c) {
        int count = 0;
        int x = max(a, b, c);
        int z = min(a, b, c);
        int y = (a + b + c) - (x + z);
        if (x > 0) {
            count++;
            x--;
        }
        if (y > 0) {
            count++;
            y--;
        }
        if (z > 0) {
            count++;
            z--;
        }
        if (x > 0 && y > 0) {
            count++;
            x--;
            y--;
        }
        if (y > 0 && z > 0) {
            count++;
            y--;
            z--;
        }
        if (z > 0 && x > 0) {
            count++;
            z--;
            x--;
        }
        if (x > 0 && y > 0 && z > 0) {
            count++;
        }
        return count;
    }

    static int max(int a, int b, int c) {
        return Integer.max(Integer.max(a, b), c);
    }

    static int min(int a, int b, int c) {
        return Integer.min(Integer.min(a, b), c);
    }

}
