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
from sys import stdin,stdout                           #
import math                                            #
import heapq                                           #
                                                       #
t = 1                                                  #
def aint():                                            #
	return int(input().strip())                        #
def lint():                                            #
	return list(map(int,input().split()))              #
def fint():                                            #
	return list(map(int,stdin.readline().split()))     #
                                                       #	
########################################################

def main():
	x1,y1=0,0
	s=input()
	st=set()
	ans=0
	for i in s:
		x2=x1
		y2=y1
		if i=="N":
			y2+=1
		elif i=="S":
			y2-=1
		elif i=="E":
			x2+=1
		else:
			x2-=1
		if (x1,y1,x2,y2) in st or(x2,y2,x1,y1) in st:
			ans+=1
		else:
			ans+=5
			st.add((x1,y1,x2,y2))
		x1=x2
		y1=y2
	print(ans)
	return

t=int(input())

########################################################
for i in range(t):                                     #
	#print("Case #"+str(i+1)+":",end=" ")		       #
	main()                                             #