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 sys

t = int(sys.stdin.readline().strip())

for i in range(t):
	a, b, c = map(int, sys.stdin.readline().strip().split())
	visitors = 0

	
	if (a > 0):
		visitors += 1
		a -= 1
	if (b > 0):
		visitors += 1
		b -= 1
	if (c > 0):
		visitors += 1
		c -= 1
	if (a == max(a, b, c)):
		if (a > 0 and b > 0):
			visitors += 1
			a -= 1
			b -= 1
		if (a > 0 and c > 0):
			visitors += 1
			a -= 1
			c -= 1
		if (c > 0 and b > 0):
			visitors += 1
			c -= 1
			b -= 1
	elif (b == max(a, b, c)):
		if (a > 0 and b > 0):
			visitors += 1
			a -= 1
			b -= 1
		if (c > 0 and b > 0):
			visitors += 1
			c -= 1
			b -= 1
		if (a > 0 and c > 0):
			visitors += 1
			a -= 1
			c -= 1
	else:
		if (a > 0 and c > 0):
			visitors += 1
			a -= 1
			c -= 1
		if (a > 0 and b > 0):
			visitors += 1
			a -= 1
			b -= 1
		if (c > 0 and b > 0):
			visitors += 1
			c -= 1
			b -= 1
	if (a > 0 and b > 0 and c > 0):
		visitors += 1
		a -= 1
		b -= 1
		c -= 1

	sys.stdout.write(str(visitors) + "\n")