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 answer(s):
    x=0
    y=0
    d={}
    time=0
    for i in range(len(s)):
        if s[i]=="E":
            k=[x,y]
            t=[x,y]
            x+=1
            k=tuple(k+[x,y])
            t=tuple([x,y]+t)
            if k in d or t in d:
                time+=1
            else:
                time+=5
                d[k]=1
                d[t]=1
        elif s[i]=="W":
            k=[x,y]
            t=[x,y]
            x-=1
            k=tuple(k+[x,y])
            t=tuple([x,y]+t)
            if k in d or t in d:
                time+=1
            else:
                time+=5
                d[k]=1
                d[t]=1
            
        elif s[i]=="N":
            k=[x,y]
            t=[x,y]
            y+=1
            k=tuple(k+[x,y])
            t=tuple([x,y]+t)
            if k in d or t in d:
                time+=1
            else:
                time+=5
                d[k]=1
                d[t]=1
        elif s[i]=="S":
            k=[x,y]
            t=[x,y]
            y-=1
            k=tuple(k+[x,y])
            t=tuple([x,y]+t)
            if k in d or t in d:
                time+=1
            else:
                time+=5
                d[k]=1
                d[t]=1
    return time 
    
t=int(input())
for i in range(t):
    s=input()
    print(answer(s))