Divya's watch of worth Rs10 cr is abducted by N thieves(1,2....i...N). The fight over the watch leads to a final decision that it should belong to the thief who wins a simple game. The rules of the game state that every thief  registers a time in the format HH:MM:SS . Accordingly the average A of three clockwise angles  between the hours , minutes and seconds hands is calculated . Thus the ith thief  with the maximum A wins the game and gets to keep the watch.

The thieves are poor in mathematics and will need your help . Given the number of thieves and their registered time resolves the conflict and help them in choosing the winner 

-----Input-----
First line of input contains T which denotes the number of test cases.

The first line of each test case consists of an integer which denotes the number of thieves thereby N line follow which give the time choosen by each thieve in the format HH:MM:SS.

-----Output:-----
Output single integer i which denotes the ith thief.

-----Constraints:-----

1<=T<=100

1<=N<=50

01<=HH<=12

00<=MM<=60

00<=SS<=60

-----Example:-----
Input:
2
3
12:28:26
07:26:04
11:23:17
2
07:43:25
06:23:34

Output:
3
1

Source: codechef | Difficulty: UNKNOWN_DIFFICULTY


Solutions:
for t in range(int(input())):
	n = int(input())
	mx = -1
	for i in range(n):
		(h, m, s) = list(map(int, input().split(':')))
		h %= 12
		m %= 60
		s %= 60
		ha = h * 30 + m * 0.5 + s * 0.5 / 60
		ma = m * 6 + s * 0.1
		sa = s * 6
		hm1 = abs(ha - ma)
		hm2 = 360 - hm1
		hm3 = abs(hm1 - hm2)
		hm = min(hm1, hm2, hm3)
		ms1 = abs(ma - sa)
		ms2 = 360 - ms1
		ms3 = abs(ms1 - ms2)
		ms = min(ms1, ms2, ms3)
		sh1 = abs(sa - ha)
		sh2 = 360 - sh1
		sh3 = abs(sh1 - sh2)
		sh = min(sh1, sh2, sh3)
		avg = (hm + ms + sh) / 3
		if mx < avg:
			ans = i + 1
			mx = avg
	print(ans)


from sys import stdin, stdout
t = int(stdin.readline())
while t:
	t -= 1
	n = int(stdin.readline())
	maxi = -1
	index = 0
	for i in range(n):
		(hh, mm, ss) = list(map(int, stdin.readline().strip().split(':')))
		ssa = ss * 360.0 / 60.0
		mma = (mm + ss / 60.0) * 360.0 / 60.0
		hha = (hh + (mm + ss / 60.0) / 60.0) * 360.0 / 12.0
		avg = (abs(ssa - hha) + abs(mma - ssa) + abs(mma - hha)) / 3
		if avg > maxi:
			maxi = avg
			index = i
	stdout.write(str(index + 1) + '\n')