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
t=int(input())
for _ in range(t):
    s=input()
    dc=defaultdict(int)
    res=0
    xx=0
    yy=0
    arr=[]
    for x in s:
        if x=='N':
            
            if (xx,yy+1/2) in dc:
                res+=1
            else:
                dc[(xx,yy+1/2)]=1
                res+=5
            yy+=1
        if x=='S':
            #yy-=1
            if (xx,yy-1/2) in dc:
                res+=1
            else:
                dc[(xx,yy-1/2)]=1
                res+=5
            yy-=1
        if x=='E':
            #xx+=1
            if (xx+1/2,yy) in dc:
                res+=1
            else:
                dc[(xx+1/2,yy)]=1
                res+=5
            xx+=1
        if x=='W':
            #xx-=1
            if (xx-1/2,yy) in dc:
                res+=1
            else:
                dc[(xx-1/2,yy)]=1
                res+=5
            xx-=1
    #print(dc)
    print(res)
        