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 main():
    for _ in range(int(input())):
        s=list(input())
        x,y,su=0,0,0
        s1=set()
        # s1.add()
        # print(s)
        for i in s:
            if(i=='N' and (x,y,x+1,y) not in s1):
                x+=1
                su+=5
                s1.add((x-1,y,x,y))
                s1.add((x,y,x-1,y))
            elif(i=='N' ):
                x+=1
                su+=1
            elif(i=='S' and (x,y,x-1,y) not in s1):
                x-=1
                su+=5
                s1.add((x+1,y,x,y))
                s1.add((x,y,x+1,y))
            elif(i=='S'):
                x-=1
                su+=1
            elif(i=='E' and (x,y,x,y+1) not in s1):
                y+=1
                su+=5
                s1.add((x,y-1,x,y))
                s1.add((x,y,x,y-1))
            elif(i=='E'):
                y+=1
                su+=1
            if(i=='W' and (x,y,x,y-1) not in s1):
                y-=1
                su+=5
                s1.add((x,y+1,x,y))
                s1.add((x,y,x,y+1))
            elif(i=='W'):
                y-=1
                su+=1
        print(su)
main()