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
cases = int(input())
times = []

for i in range(cases):
    path = {(0,0,0)}
    time = 0
    X,Y=0,0
    paths = input()
    for i in paths:
        if i == "N":
            if (X,Y,"N") in path or (X,Y+1,"S") in path:
                time+=1
            else:
                time+=5
                path.add((X,Y,"N"))
            Y+=1
        elif i == "S":
            if (X,Y,"S") in path or (X,Y-1,"N") in path:
                time+=1
            else:
                time+=5
                path.add((X,Y,i))
            Y-=1
        elif i == "E":
            if (X,Y,i) in path or (X+1,Y,"W") in path:
                time+=1
            else:
                time+=5
                path.add((X,Y,i))
            X+=1
        else:
            if (X,Y,i) in path or (X-1,Y,"E") in path:
                time+=1
            else:
                time+=5
                path.add((X,Y,i))
            X-=1
    times.append(time)

# print(path)
for i in times:
    print(i)