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
# -*- coding: utf-8 -*-
import sys
# sys.setrecursionlimit(10**6)
buff_readline = sys.stdin.buffer.readline
readline = sys.stdin.readline

INF = 2**62-1


def read_int():
    return int(buff_readline())


def read_int_n():
    return list(map(int, buff_readline().split()))


def read_float():
    return float(buff_readline())


def read_float_n():
    return list(map(float, buff_readline().split()))


def read_str():
    return readline().strip()


def read_str_n():
    return readline().strip().split()



def slv(S):
    v = set()
    c = (0, 0)
    ans = 0
    for s in S:
        if s == 'N':
            n = (c[0], c[1]+1)
        elif s == 'S':
            n = (c[0], c[1]-1)
        elif s == 'E':
            n = (c[0]+1, c[1])
        elif s == 'W':
            n = (c[0]-1, c[1])
        else:
            assert False

        if (c, n) in v or (n, c) in v:
            ans += 1
        else:
            v.add((c, n))
            ans += 5
        c = n
    return ans





def main():
    T = read_int()
    for _ in range(T):
        S = read_str()
        print(slv(S))


if __name__ == '__main__':
    main()
