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
t=int(input())
while (t):
	s=input()
	x=y=ans=0
	d={}
	if s[0]=='N':
		d[((0, 0), (0, 1))]=1
		x1=0
		y1=1
	elif s[0]=='S':
		d[((0, 0), (0, -1))]=1
		x1=0
		y1=-1
	elif s[0]=='E':
		d[((0, 0), (1, 0))]=1
		x1=1
		y1=0
	else:
		d[((0, 0), (-1, 0))]=1
		x1=-1
		y1=0
	x=x1
	y=y1
	ans+=5
	for i in range(1, len(s)):
		if s[i]=='N':
			y+=1
			if d.get(((x, y), (x1, y1))) or d.get(((x1, y1), (x, y))):
				x1=x
				y1=y
				ans+=1
			else:
				d[((x1, y1), (x, y))]=1
				d[((x, y), (x1, y1))]=1
				x1=x
				y1=y
				ans+=5
		if s[i]=='S':
			y-=1
			if d.get(((x, y), (x1, y1))) or d.get(((x1, y1), (x, y))):
				x1=x
				y1=y
				ans+=1
			else:
				d[((x1, y1), (x, y))]=1
				d[((x, y), (x1, y1))]=1
				x1=x
				y1=y
				ans+=5
		if s[i]=='E':
			x+=1
			if d.get(((x, y), (x1, y1))) or d.get(((x1, y1), (x, y))):
				x1=x
				y1=y
				ans+=1
			else:
				d[((x1, y1), (x, y))]=1
				d[((x, y), (x1, y1))]=1
				x1=x
				y1=y
				ans+=5
		if s[i]=='W':
			x-=1
			if d.get(((x, y), (x1, y1))) or d.get(((x1, y1), (x, y))):
				x1=x
				y1=y
				ans+=1
			else:
				d[((x1, y1), (x, y))]=1
				d[((x, y), (x1, y1))]=1
				x1=x
				y1=y
				ans+=5
	print(ans)
	t-=1
