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
for i in range(int(input())):
    S = input()
    x = 0
    y = 0
    Ans = 0
    Dict = defaultdict(bool)
    for i in S:
        if(i=="N"):
            if(Dict[(x,y,x,y+1)] or Dict[(x,y+1,x,y)]):
                Ans += 1
            else:
                Ans+=5
                Dict[(x,y,x,y+1)] = True
            y+=1
        elif(i=="S"):
            if(Dict[(x,y,x,y-1)] or Dict[(x,y-1,x,y)]):
                Ans += 1
            else:
                Ans+=5
                Dict[(x,y,x,y-1)] = True
            y-=1
        elif(i=="E"):
            if(Dict[(x,y,x+1,y)] or Dict[(x+1,y,x,y)]):
                Ans += 1
            else:
                Ans+=5
                Dict[(x,y,x+1,y)] = True
            x+=1
        elif(i=="W"):
            if(Dict[(x,y,x-1,y)] or Dict[(x-1,y,x,y)]):
                Ans += 1
            else:
                Ans+=5
                Dict[(x,y,x-1,y)] = True
            x-=1
    print(Ans)