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 _ in range(t):
    s = set()
    x, y, ti = 0, 0, 0
    for c in input():
        ox, oy = x, y
        if c == 'W':
            x -= 1
        elif c == 'E':
            x += 1
        elif c == 'N':
            y -= 1
        elif c == 'S':
            y += 1
        if (ox, oy, x, y) in s or (x, y, ox, oy) in s:
            ti += 1
        else:
            s.add((ox, oy, x, y))
            ti += 5
    print(ti)