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
num = int(input())


def times(x, y, x_o, y_o, matrix):
    start = str(x) + ' ' + str(y)
    end = str(x_o) + ' ' + str(y_o)
    if (start, end) in matrix:
        return 1
    else:
        matrix.add((start, end))
        matrix.add((end, start))
        return 5

for i in range(num):
    t = 0
    x = 0
    y = 0
    road = input()
    matrix = set()
    for r in road:
        if r == 'N':
            t += times(x, y, x, y - 1, matrix)
            y -= 1
        elif r == 'S':
            t += times(x, y, x, y + 1, matrix)
            y += 1
        elif r == 'W':
            t += times(x, y, x - 1, y, matrix)
            x -= 1
        elif r == 'E':
            t += times(x, y, x + 1, y, matrix)
            x += 1

    print(t)
