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