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 list_int(): return list(map(int, input().split()))
def int_in(): return int(input())
def map_in(): return map(int, input().split())
def list_in(): return input().split()

t=int_in()
for _ in range(t):
    v=set()
    s=input()
    x=0
    y=0
    c=0
    for i in s:
        #print(v, x, y, i)
        if i=='N':
            if (x,y,x+1,y) in v:
                c+=1
            elif (x+1,y, x,y) in v:
                c+=1
            else:
                c+=5
            v.add((x,y,x+1,y))
            x+=1
        elif i=='S':
            if (x,y,x-1,y) in v:
                c+=1
            elif (x-1,y, x,y) in v:
                c+=1
            else:
                c+=5
            v.add((x,y,x-1,y))
            x-=1
        elif i=='W':
            if (x,y,x,y+1) in v:
                c+=1
            elif (x, y+1, x,y) in v:
                c+=1
            else:
                c+=5
            v.add((x,y,x,y+1))
            y+=1
        else:
            if (x,y,x,y-1) in v:
                c+=1
            elif (x, y-1, x,y) in v:
                c+=1
            else:
                c+=5
            v.add((x,y,x,y-1))
            y-=1
    print(c)
