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
# from collections import defaultdict



# t = 5
t = int(sys.stdin.readline())

# input1 = ['NWNWS', 'NNN', 'NS', 'WWEN', 'WWEE']

for j in range(t):
    # route = input1[j]
    route = list(str(sys.stdin.readline()))
    wasThere = dict()
    cur_state = [0, 0]
    time = int(0)
    for direction in route:

        # куда хотим пойти
        if direction == 'N':
            vec = ('y', cur_state[0], cur_state[1])
            cur_state[1] += 1
        elif direction == 'S':
            vec = ('y', cur_state[0], cur_state[1]-1)
            cur_state[1] -= 1
        elif direction == 'W':
            vec = ('x', cur_state[0]-1, cur_state[1])
            cur_state[0] -= 1
        elif direction == 'E':
            vec = ('x', cur_state[0], cur_state[1])
            cur_state[0] += 1
        else:
            continue


        if vec in wasThere:
            time += 1
        else:
            time += 5
            wasThere[vec] = True

    print(time)