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.
t = int(input())
for _ in range(t):
	arr = list(map(int, input().split()))
	arr.sort()
	count = 0
	a = arr[0]; b = arr[1]; c = arr[2]
	if arr[0] > 0 and arr[1] > 0 and arr[2] > 0:
		count += 3
		arr[0] -= 1
		arr[1] -= 1
		arr[2] -= 1
		# print(a, b, c)
		if arr[0] > 1 and arr[1] > 1 and arr[2] > 1:
			count += 3
			arr[0] -= 2
			arr[1] -= 2
			arr[2] -= 2
			if arr[0] > 0  and arr[1] > 0 and arr[2] > 0:
				count += 1
				print(count)
			else:
				print(count)

		else:
			for i in range(3):
				if arr[i] > 2:
					arr[i] = 2

			if arr == [0, 0, 1] or arr == [0, 0, 2] or arr == [0, 0, 0]:
				print(count)

			elif arr == [0, 1, 1] or arr == [0, 1, 2] or arr == [0, 2, 2] or arr == [1, 1, 1]:
				print(count+1)

			elif arr == [1, 1, 2] or arr == [1, 2, 2]:
				print(count+2)




	else:
		for i in range(3):
				if arr[i] > 2:
					arr[i] = 2

		if arr == [0, 0, 0]:
			print(0)

		elif arr == [0, 0, 1] or arr == [0, 0, 2]:
			print(1)

		elif arr == [0, 1, 1] or arr == [0, 1, 2]:
			print(2)
		elif arr == [0, 2, 2]:
			print(3)


	# if a > 0:
	# 	count += 1
	# 	a -= 1
	# if b > 0:
	# 	count += 1
	# 	b -= 1
	# if c > 0:
	# 	count += 1
	# 	c -= 1

	# if a > 0 and b > 0 and (c <= a or c <= b):
	# 	count += 1
	# 	a -= 1
	# 	b -= 1

	# if a > 0 and c > 0 and (b<= a or b<=c):
	# 	count += 1
	# 	a -= 1
	# 	c -= 1

	# if c > 0 and b > 0 and (a<=c or a <= b):
	# 	count += 1
	# 	c -= 1
	# 	b -= 1
	# if a > 0 and b > 0 and c > 0:
	# 	count += 1

	# print(count)