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.
from itertools import permutations

orders = [
    list(permutations([(1, 0, 0),(0, 1, 0),(0, 0, 1)])),
    list(permutations([(1, 1, 0),(0, 1, 1),(1, 0, 1)])),
    [(1,1,1)]
]

def get_customer_nums(a, b, c):
    
    products = [a,b,c]
    max_count = 0

    for i in range(6):
        for j in range(6):
            a_count = a
            b_count = b
            c_count = c
            count = 0

            for order in orders[0][i]:
                if order[0]:
                    if a_count >= 1:
                        a_count -= 1
                    else:
                        continue
                if order[1]:
                    if b_count >= 1:
                        b_count -= 1
                    else:
                        continue
                if order[2]:
                    if c_count >= 1:
                        c_count -= 1
                    else:
                        continue
                count += 1

            for order in orders[1][j]:
                if order[0]:
                    if a_count >= 1:
                        a_count -= 1
                    else:
                        continue
                if order[1]:
                    if b_count >= 1:
                        b_count -= 1
                    else:
                        continue
                if order[2]:
                    if c_count >= 1:
                        c_count -= 1
                    else:
                        continue
                count += 1
            
            for order in orders[2]:
                if order[0]:
                    if a_count >= 1:
                        a_count -= 1
                    else:
                        continue
                if order[1]:
                    if b_count >= 1:
                        b_count -= 1
                    else:
                        continue
                if order[2]:
                    if c_count >= 1:
                        c_count -= 1
                    else:
                        continue

                count += 1
            
            max_count = max(count, max_count)
    return max_count

t = int(input())
for _ in range(t):
    a, b, c = tuple(map(int, input().split(" ")))
    print(get_customer_nums(a,b,c))