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
import sys
if sys.subversion[0] == "PyPy":
    import io, atexit
    sys.stdout = io.BytesIO()
    atexit.register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
    
    sys.stdin = io.BytesIO(sys.stdin.read())
    input = lambda: sys.stdin.readline().rstrip()
 
RS = raw_input
RI = lambda x=int: map(x,RS().split())
RN = lambda x=int: x(RS())
''' ...................................................................... '''

for _ in xrange(RN()):
    num = RS()

    memo = {}
    rev = {'N':'S','S':'N','E':'W','W':'E'}
    ans = 0
    x,y = 0,0
    
    for i in num:
        a,b = x,y
            
        if i=='S':
            x+=1
        if i=='N':
            x-=1
        if i=='W':
            y+=1
        if i=='E':
            y-=1

        
        if (memo.get((a,b)) and (x,y) in memo.get((a,b))) or (memo.get((x,y)) and (a,b) in memo.get((x,y))):
            ans+=1
        else:
            ans+=5
            if memo.get((a,b))==None:
                memo[(a,b)] = []
            memo[(a,b)].append((x,y))

            if memo.get((x,y))==None:
                memo[(x,y)] = []
            memo[(x,y)].append((a,b))
    
    print ans
            
        
    
    
