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
# exec(open('test.py').read())


t = int(input())

AnsList = []

for _ in range(t):
	s = input()
	Ans = 0
	pathList = {}
	x1,x2,y1,y2 = 0,0,0,0
	for i in range(len(s)):
		d = s[i]
		if d == 'N':
			y2 = y1 + 1
		elif d == 'S':
			y2 = y1 - 1
		elif d == 'E' :
			x2 = x1 + 1
		else:
			x2 = x1 - 1
		pf = str(x1) + str(y1) + str(x2) + str(y2)
		pr = str(x2) + str(y2) + str(x1) + str(y1)
		if pf in pathList:
			Ans += 1
		else:
			Ans += 5
			pathList[pf] = 1
			pathList[pr] = 1
		x1,y1 = x2,y2
	AnsList.append(Ans)

for x in AnsList:
	print(x)