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 answer(t):
    for i in range(t):
        s = input()
        w = set()
        x,y = 0,0
        ti = 0
        for i in s:
            if i == 'N':
                if str(x) + str(y) + 'N' in w or str(x) + str(y+1) + 'S' in w:
                    ti += 1
                else:
                    ti += 5
                    w.add(str(x) + str(y) + 'N')
                y += 1
            elif i == 'S':
                if str(x) + str(y) + 'S' in w or str(x) + str(y-1) + 'N' in w:
                    ti += 1
                else:
                    ti += 5
                    w.add(str(x) + str(y) + 'S')
                y -= 1
            elif i == 'W':
                if str(x) + str(y) + 'W' in w or str(x-1) + str(y) + 'E' in w:
                    ti += 1
                else:
                    ti += 5
                    w.add(str(x) + str(y) + 'W')
                x -= 1
            elif i == 'E':
                if str(x) + str(y) + 'E' in w or str(x+1) + str(y) + 'W' in w:
                    ti += 1
                else:
                    ti += 5
                    w.add(str(x) + str(y) + 'E')
                x += 1
        print(ti)
answer(int(input()))