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 q in range(int(input())):
	s = input()
	visited = {}
	x = y = 0
	px = py = 0
	res = 0
	for i in s:
		if i == 'N':#UP
			y+=1
			if visited.get( ((px, py), (x, y)), 0 ) == 1 or visited.get( ((x, y), (px, py)), 0 ) == 1:
				res+= 1
			else:
				res+= 5
				visited[ ((px, py), (x, y)) ] = 1
				visited[ ((x, y), (px, py)) ] = 1
			px = x
			py = y

			
		elif i == 'S': # DOWN
			y-=1
			if visited.get( ((px, py), (x, y)), 0 ) == 1 or visited.get( ((x, y), (px, py)), 0 ) == 1:
				res+= 1
			else:
				res+= 5
				visited[ ((px, py), (x, y)) ] = 1
				visited[ ((x, y), (px, py)) ] = 1
			px = x
			py = y			
		elif i == 'W': # LEFT
			x-=1
			if visited.get( ((px, py), (x, y)), 0 ) == 1 or visited.get( ((x, y), (px, py)), 0 ) == 1:
				res+= 1
			else:
				res+= 5
				visited[ ((px, py), (x, y)) ] = 1
				visited[ ((x, y), (px, py)) ] = 1
			px = x
			py = y
		else: # RIGHT
			x+=1
			if visited.get( ((px, py), (x, y)), 0 ) == 1 or visited.get( ((x, y), (px, py)), 0 ) == 1:
				res+= 1
			else:
				res+= 5
				visited[ ((px, py), (x, y)) ] = 1
				visited[ ((x, y), (px, py)) ] = 1
			px = x
			py = y
	print(res)