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.
#include <bits/stdc++.h>
using namespace std;
int main() {
  int test, a, b, c, count, y, z;
  cin >> test;
  while (test > 0) {
    cin >> a >> b >> c;
    count = 0, z = a + b + c;
    y = a;
    a = max(a, max(b, c));
    c = min(y, min(b, c));
    b = z - (a + c);
    if (a > 0) {
      count++;
      a--;
    }
    if (b > 0) {
      count++;
      b--;
    }
    if (c > 0) {
      count++;
      c--;
    }
    if (a > 0 && b > 0) {
      count++;
      a--;
      b--;
    }
    if (a > 0 && c > 0) {
      count++;
      a--;
      c--;
    }
    if (b > 0 && c > 0) {
      count++;
      b--;
      c--;
    }
    if (a > 0 && b > 0 && c > 0) {
      count++;
      a--;
      b--;
      c--;
    }
    cout << count << endl;
    test--;
  }
}
