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.
def rs(): return input().strip()
def ri(): return int(input())
def ria(): return list(map(int, input().split()))
def ia_to_s(a): return ' '.join([str(s) for s in a])


import itertools
from functools import lru_cache


def powerset(iterable, low=0, high=None):
    "powerset([1,2,3]) --> () (1,) (2,) (3,) (1,2) (1,3) (2,3) (1,2,3)"
    s = list(iterable)
    if high is None:
        high = len(s)+1
    return itertools.chain.from_iterable(itertools.combinations(s, r) for r in range(low, high))



def solve(d):
    ans = 0
    n = len(d)
    indices = list(range(n))

    subsets = list(powerset(indices, 1))
    m = len(subsets)

    for to_take in powerset(subsets):
        a = [0] * n
        ok = True
        for i in range(len(to_take)):
            for j in range(len(to_take[i])):
                a[to_take[i][j]] += 1
                if a[to_take[i][j]] > d[to_take[i][j]]:
                    ok = False
                    break

        if ok:
            ans = max(ans, len(to_take))

    return ans


def main():
    for _ in range(ri()):
        a, b, c = ria()
        print(solve([a, b, c]))


if __name__ == '__main__':
    main()
