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
def rolltime(string):
    time=0
    x=0
    y=0
    aimed_x=0
    aimed_y=0
    visited=set()
    for step in string:
        if step=='N':
            aimed_x=x
            aimed_y=y+1
        if step=='S':
            aimed_x=x
            aimed_y-=1
        if step=='E':
            aimed_y=y
            aimed_x=x+1
        if step=='W':
            aimed_y=y
            aimed_x=x-1
        if frozenset({(x,y),(aimed_x,aimed_y)}) in visited:
                time +=1
        else:
            time+=5
            visited.add(frozenset({(x,y),(aimed_x,aimed_y)}))
        x,y=aimed_x,aimed_y
    return(time)       
t=int(input())
strings=[]
for i in range(t):
    strings.append(input())
for i in range(t):
    print(rolltime(strings[i]))        

    
