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
from collections import defaultdict as dd
t=int(input())
while t:
    d=dd(int)
    s=input()
    x=0
    y=0
    d[(x,y)]=1
    ans=0
    px=0
    py=0
    for i in range(len(s)):
        a=s[i]
        if(a=='N'):
            y+=1
            l=[(px,py),(x,y)]
            l.sort()
            l=tuple(l)
            if(d[l]):
                ans+=1
            else:
                ans+=5
        elif(a=='S'):
            y-=1
            l=[(px,py),(x,y)]
            l.sort()
            l=tuple(l)
            if(d[l]):
                ans+=1
            else:
                ans+=5
        elif(a=='E'):
            x+=1
            l=[(px,py),(x,y)]
            l.sort()
            l=tuple(l)

            if(d[l]):
                ans+=1
            else:
                ans+=5
        elif(a=='W'):
            x-=1
            l=[(px,py),(x,y)]
            l.sort()
            l=tuple(l)
            if(d[l]):
                ans+=1
            else:
                ans+=5
        d[l]=1
        px=x
        py=y
    print(ans)
    t-=1