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 hatt in range(t):
	lis = input().split()
	a,b,cin = int(lis[0]),int(lis[1]),int(lis[2])
	c = [0 for i in range(5)]
	if(a==0):
		c[0]+=1
	elif(a==1):
		c[1]+=1
	elif(a==2):
		c[2]+=1
	elif(a==3):
		c[3]+=1
	else:
		c[4]+=1

	if(b==0):
		c[0]+=1
	elif(b==1):
		c[1]+=1
	elif(b==2):
		c[2]+=1
	elif(b==3):
		c[3]+=1
	else:
		c[4]+=1
	
	if(cin==0):
		c[0]+=1
	elif(cin==1):
		c[1]+=1
	elif(cin==2):
		c[2]+=1
	elif(cin==3):
		c[3]+=1
	else:
		c[4]+=1



	if(c[0]==3):
		ans = 0
	elif(c[0]==2):
		ans = 1
	elif(c[0]==1):
		if(c[1]!=0):
			ans = 2
		else:
			ans = 3
	else:
		if(c[1]==3):
			ans = 3
		elif(c[1]==2):
			ans = 3
		elif(c[1]==1):
			ans = 4
		else:
			if(c[2]==3):
				ans = 4
			elif(c[2]==2):
				ans = 5
			elif(c[2]==1):
				ans = 5
			else:
				if(c[4]==3):
					ans = 7
				else:
					ans = 6
	print(ans)