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())
for tests in range(t):
    S=input().strip()
    ANS=0
    Already=set()
    X=0
    Y=0
    
    for s in S:
        if s=="N":
            if (X,Y,X,Y+1) in Already:
                ANS+=1
            else:
                ANS+=5
            Already.add((X,Y,X,Y+1))
            Already.add((X,Y+1,X,Y))
            Y+=1
        elif s=="S":
            if (X,Y,X,Y-1) in Already:
                ANS+=1
            else:
                ANS+=5
            Already.add((X,Y,X,Y-1))
            Already.add((X,Y-1,X,Y))
            Y-=1
        elif s=="W":
            if (X,Y,X-1,Y) in Already:
                ANS+=1
            else:
                ANS+=5
            Already.add((X,Y,X-1,Y))
            Already.add((X-1,Y,X,Y))
            X-=1
        else:
            if (X,Y,X+1,Y) in Already:
                ANS+=1
            else:
                ANS+=5
            Already.add((X,Y,X+1,Y))
            Already.add((X+1,Y,X,Y))
            X+=1

    print(ANS)
        
