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
# https://codeforces.com/problemset/problem/1351/C

import sys
import os
import heapq

try:
    path = "./file/input.txt"
    if os.path.exists(path):
        sys.stdin = open(path, 'r')
    # sys.stdout = open(r"./file/output.txt", 'w')
except:
    pass

t = int(input())

def printd(value):
    # print(value)
    pass

for _ in range(t):
    path = input()
    currentx = 100000
    currenty = 100000

    map = {}

    result = 0
    for c in path:
        pospre = currentx * 1000000 + currenty

        dir = 0
        if c == 'N':
            currenty += 1
            dir = 1
        if c == 'S':
            currenty -= 1
            dir = 3
        if c == 'W':
            currentx -= 1
            dir = 4
        if c == 'E':
            currentx += 1
            dir = 0

        pospre = pospre * 10 + (4 - dir)

        pos = currentx * 1000000 + currenty
        pos = pos * 10 + dir
        if pos in map:
            result += 1
        else:
            map[pos] = True
            result += 5

        map[pospre] = True
    print(result)
