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
import math
def inputnum():
    return(int(input()))
def inputnums():
    return(map(int,input().split()))
def inputlist():
    return(list(map(int,input().split())))
def inputstring():
    return([x for x in input()])

t=int(input())
for q in range(t):
    path = inputstring()
    pos = (0, 0)
    ans = 0
    passed = set()
    d = {'N':(0, 1), 'S':(0, -1), 'E':(1, 0), 'W':(-1, 0)}
    for char in path:
        x1, y1 = pos
        x2, y2 = d[char]
        x3, y3 = x1 + x2, y1 + y2
        pos = (x3, y3)
        if (((x1, y1), (x3, y3))) in passed:
            ans += 1
        else:
            ans += 5
            passed.add(((x1, y1), (x3, y3)))
            passed.add(((x3, y3), (x1, y1)))
    print(ans)