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())
ans = list()
for _ in range(t):
    line = input()
    vect = [0, 0, 'N']
    time = 0
    s = set()
    for x in line:
        vect[2] = x
        tmp = vect[:] # IMPT Step Make a Shallow instead of just assignment
        if vect[2] == 'N':
            tmp[1] += 1
            tmp[2] = 'S'
        elif vect[2] == 'S':
            tmp[1] -= 1
            tmp[2] = 'N'
        elif vect[2] == 'E':
            tmp[0] += 1
            tmp[2] = 'W'
        elif vect[2] == 'W':
            tmp[0] -= 1
            tmp[2] = 'E'
        if tuple(vect) in s:
            time += 1
        else:
            s.add(tuple(vect))
            s.add(tuple(tmp))
            time +=5
        vect = tmp
    ans.append(time)

for x in ans:
    print(x)
