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
#! /usr/bin/python3

import sys

def main():
    input_list = get_input()
    for line in range(len(input_list)):
        if line >= 1:
            print(path_time(input_list[line]))

def get_input():
    input_list = []

    for line in sys.stdin:
        input_list.append(line.rstrip("\n"))

        """
        if line.rstrip("\n") == "exit":
            break
        """

    return input_list

def path_time(input_string):
    visited_set = set()
    x_pos, y_pos, last_x, last_y = 0, 0, 0, 0
    time = 0

    for direction in input_string:
        last_x = x_pos
        last_y = y_pos

        if direction == "N":
            y_pos += 1
        elif direction == "S":
            y_pos -= 1
        elif direction == "E":
            x_pos += 1
        elif direction == "W":
            x_pos -= 1
        
        if ((last_x, last_y, x_pos, y_pos)) in visited_set:
            time += 1
        else:
            time += 5

        visited_set.add((last_x, last_y, x_pos, y_pos))
        visited_set.add((x_pos, y_pos, last_x, last_y))

    return time

if __name__ == "__main__":
    main()
