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
for T in range(int(input())):
    
    paths = set()
    x_coord = 0
    y_coord = 0
    directions = input()
    time = 0
    
    for dir in directions:
        if dir == 'N':
            path = (x_coord, y_coord), (x_coord, y_coord + 1)
            y_coord += 1
        elif dir == 'S':
            path = (x_coord, y_coord), (x_coord, y_coord - 1)
            y_coord -= 1
        elif dir == 'E':
            path = (x_coord, y_coord), (x_coord + 1, y_coord)
            x_coord += 1
        elif dir == 'W':
            path = (x_coord, y_coord), (x_coord - 1, y_coord)
            x_coord -= 1
        inv_path = path[1], path[0]
        if path in paths or inv_path in paths:
            time += 1
        else:
            time += 5
            paths.add(path)
            
    print(time)