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
def main():
    t = int(input())
    for _ in range(t):
        directions = input()
        time = 0
        x1 = 0
        x2 = 0
        y1 = 0
        y2 = 0
        places_been = {((0,0), (0,0))}

        if len(set(directions)) == 1:
            print(len(directions) * 5)
            continue

        for direction in directions:

            if direction == 'N':
                x1 = x2
                y1 = y2
                y2 += 1
                if ((x1, y1),(x2,y2)) in places_been:
                    time += 1
                else:
                    time += 5
                    places_been.add(((x1, y1), (x2, y2)))
                    places_been.add(((x2, y2), (x1, y1)))

            elif direction == 'S':
                x1 = x2
                y1 = y2
                y2 -= 1
                if ((x1, y1),(x2,y2)) in places_been:
                    time += 1
                else:
                    time += 5
                    places_been.add(((x1, y1), (x2, y2)))
                    places_been.add(((x2, y2), (x1, y1)))

            elif direction == 'E':
                x1 = x2
                y1 = y2
                x2 += 1
                if ((x1, y1),(x2,y2)) in places_been:
                    time += 1
                else:
                    time += 5
                    places_been.add(((x1, y1), (x2, y2)))
                    places_been.add(((x2, y2), (x1, y1)))

            else:
                x1 = x2
                y1 = y2
                x2 -= 1
                if ((x1, y1),(x2,y2)) in places_been:
                    time += 1
                else:
                    time += 5
                    places_been.add(((x1, y1), (x2, y2)))
                    places_been.add(((x2, y2), (x1, y1)))

        print(time)

if __name__ == "__main__":
    main()