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
import sys

sys.setrecursionlimit(10 ** 6)


def ii(): return int(sys.stdin.readline())


def si(): return sys.stdin.readline()[:-1]


def main():
    for _ in range(ii()):
        s = si()
        xx = set()
        yy = set()
        ans = 0
        x, y = 0, 0
        for c in s:
            if c == "N":
                if (x, y) in yy:
                    ans += 1
                else:
                    ans += 5
                yy.add((x, y))
                y += 1
            if c == "S":
                y -= 1
                if (x, y) in yy:
                    ans += 1
                else:
                    ans += 5
                yy.add((x, y))
            if c == "E":
                if (x, y) in xx:
                    ans += 1
                else:
                    ans += 5
                xx.add((x, y))
                x += 1
            if c == "W":
                x -= 1
                if (x, y) in xx:
                    ans += 1
                else:
                    ans += 5
                xx.add((x, y))
        print(ans)


main()