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())
x_dir = [0, 0, 1, -1]
y_dir = [1, -1, 0, 0]
direction_str = 'NSWE'
direction_map = dict()
oppo = dict()
oppo_str  = 'SNEW'
for i in range(4):
    oppo[direction_str[i]] = oppo_str[i]
for i in range(4):
    direction_map[direction_str[i]] = i
for t in range(T):
    visited = set()
    s = input()
    x = 0
    y = 0
    ans = 0
    for i in s:
        move = direction_map[i]
        x += x_dir[move]
        y += y_dir[move]
        if (x,y, oppo[i]) in visited:
            ans += 1
        else:
            ans += 5
            if x_dir[move] > 0:
                visited.add((x-1,y, 'W'))
                visited.add((x, y, 'E'))
            elif x_dir[move] < 0:
                visited.add((x+1,y,'E'))
                visited.add((x, y, 'W'))
            elif y_dir[move] > 0:
                visited.add((x, y-1, 'N'))
                visited.add((x,y, 'S'))
            else:
                visited.add((x, y+1, 'S'))
                visited.add((x,y, 'N'))
    print(ans)
