Skier rides on a snowy field. Its movements can be described by a string of characters 'S', 'N', 'W', 'E' (which correspond to 1 meter movement in the south, north, west or east direction respectively).

It is known that if he moves along a previously unvisited segment of a path (i.e. this segment of the path is visited the first time), then the time of such movement is 5 seconds. If he rolls along previously visited segment of a path (i.e., this segment of the path has been covered by his path before), then it takes 1 second.

Find the skier's time to roll all the path.

Input

The first line contains an integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then t test cases follow.

Each set is given by one nonempty string of the characters 'S', 'N', 'W', 'E'. The length of the string does not exceed 10^5 characters.

The sum of the lengths of t given lines over all test cases in the input does not exceed 10^5.

Output

For each test case, print the desired path time in seconds.

Example

Input


5
NNN
NS
WWEN
WWEE
NWNWS


Output


15
6
16
12
25
for _ in range(int(input())):
	path = input()
	track = {}
	track[(0, 0)] = [0, 0, 0, 0]
	coordinate = (0, 0)
	time = 0
	for p in path:
		if(p == 'N'):
			if(track[coordinate][0] == 1):
				time += 1
			else:
				time += 5
				track[coordinate][0] = 1
			t1 = coordinate[0]
			t2 = coordinate[1] + 1
			coordinate = (t1, t2)
			if coordinate in track.keys():
				track[coordinate][2] = 1
			else:
				track[coordinate] = [0, 0, 1, 0]
		elif(p == 'S'):
			if(track[coordinate][2] == 1):
				time += 1
			else:
				time += 5
				track[coordinate][2] = 1
			t1 = coordinate[0]
			t2 = coordinate[1] - 1
			coordinate = (t1, t2)
			if coordinate in track.keys():
				track[coordinate][0] = 1
			else:
				track[coordinate] = [1, 0, 0, 0]
		elif(p == 'E'):
			if(track[coordinate][1] == 1):
				time += 1
			else:
				time += 5
				track[coordinate][1] = 1
			t1 = coordinate[0] + 1
			t2 = coordinate[1]
			coordinate = (t1, t2)
			if coordinate in track.keys():
				track[coordinate][3] = 1
			else:
				track[coordinate] = [0, 0, 0, 1]
		else:
			if(track[coordinate][3] == 1):
				time += 1
			else:
				time += 5
				track[coordinate][3] = 1
			t1 = coordinate[0] - 1
			t2 = coordinate[1]
			coordinate = (t1, t2)
			if coordinate in track.keys():
				track[coordinate][1] = 1
			else:
				track[coordinate] = [0, 1, 0, 0]
	print(time)