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
n = int(input())
output = []
for _ in range(n):
	d = input()
	l = len(d)
	x = 0
	y = 0
	vis = {}
	time = 0
	for i in range(l):
		tmp = d[i]
		m1 = x
		m2 = y
		if tmp == "N":
			y += 1
		elif tmp =="S":
			y -= 1
		elif tmp == "E":
			x -= 1
		elif tmp == "W":
			x += 1
		if str(x)+" "+str(y)+" "+str(m1)+" "+str(m2) not in vis and str(m1)+" "+str(m2)+" "+str(x)+" "+str(y) not in vis:
			time += 5
			vis[str(x)+" "+str(y)+" "+str(m1)+" "+str(m2)] = 1
		else:
			time += 1
	output.append(time)
for o in output:
	print(o)