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

def count_seconds(s):
	c = 0
	#store current co-ordinates
	x,y = 0,0
	#store paths travelled (bi-directional i.e if (0,0)->(0,1) 
	#is travelled then (0,1)->(0,0) is also added)
	#paths stores co-ordinate -> list of co-ordinates travelled
	paths = {}
	for i in range(0,len(s)):
		#store previous co-ordinates
		pre_x = x
		pre_y = y
		#Changes co-ordinates according to the direction
		if s[i]=="S":
			y -= 1
		elif s[i]=="N":
			y += 1
		elif s[i]=="W":
			x -= 1
		elif s[i]=="E":
			x += 1

		#checks if co-ordinate is travelled previously
		if (x,y) in paths:
			#checks if path to that co-ordinate exists
			if (pre_x,pre_y) in paths[(x,y)]:
				c += 1
			else:
				c += 5
				paths[(x,y)].append((pre_x,pre_y))
		else:
			c += 5
			paths[(x,y)]=[(pre_x,pre_y)]

		#to maintain bi-directionality 
		if (pre_x,pre_y) in paths:
			if (x,y) not in paths[(pre_x,pre_y)]:
				paths[(pre_x,pre_y)].append((x,y))
		else:
			paths[(pre_x,pre_y)]=[(x,y)]

	return c

t=int(input())
for _ in range(t):
  s = input()
  print(count_seconds(s))