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
#
# Created by Polusummator on 22.05.2020
# --------- Little PyPy Squad ---------
# Verdict: 
#
t = int(input())
for _ in range(t):
    s = input()
    x1, y1 = 0, 0
    x2, y2 = 0, 0
    been = set()
    z = True
    ans = 0
    for i in s:
        if i == 'N':
            y2 -= 1
        elif i == 'S':
            y2 += 1
        elif i == 'W':
            x2 -= 1
        elif i == 'E':
            x2 += 1
        if z:
            z = False
            been.add((x1, y1, x2, y2))
            been.add((x2, y2, x1, y1))
            ans += 5
        else:
            if (x1, y1, x2, y2) in been or (x2, y2, x1, y1) in been:
                ans += 1
            else:
                ans += 5
                been.add((x1, y1, x2, y2))
                been.add((x2, y2, x1, y1))
        x1, y1 = x2, y2
    print(ans)
