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 i in range(t):
    string = list(input())
    time = 0
    flag = True
    visited = {(0, 0) : [string[0]]}
    position = (0, 0)
    compare = ['N', 'S','E', 'W']
    number = 0
    for i in string:
        if i not in visited[position]:
            visited[position].append(i)
        if i == 'N':
            number = 1
            position = (position[0] + 1, position[1])
        elif i == 'S':
            number = 0
            position = (position[0] - 1, position[1])
        elif i == 'E':
            number = 3
            position = (position[0], position[1] + 1)
        elif i == 'W':
            number = 2
            position = (position[0], position[1] - 1)
        if position in visited:    
            if compare[number] in visited[position]:
                time +=1
            else:
                visited[position].append(compare[number])
                time += 5
        else:
            visited[position] = [compare[number]]
            time += 5

    print(time)
