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
for t in range(int(input())):
    s = input()
    
    x,y = 0,0
    time = 0
    table = {}
    for c in s:
        if c=='N':
            if (x,y,x,y+1) in table or (x,y+1,x,y) in table:
                time+=1
            else:
                table[(x,y,x,y+1)] = 1
                time+=5
            y+=1
        elif c=='S':
            if (x,y,x,y-1) in table or (x,y-1,x,y) in table:
                time+=1
            else:
                table[(x,y,x,y-1)] = 1
                time+=5
            y-=1
        elif c=='E':
            if (x,y,x+1,y) in table or (x+1,y,x,y) in table:
                time+=1
            else:
                table[(x,y,x+1,y)] = 1
                time+=5
            x+=1
        else:
            if (x,y,x-1,y) in table or (x-1,y,x,y) in table:
                time+=1
            else:
                table[(x-1,y,x,y)] = 1
                time+=5
            x-=1
    print(time)
        
        