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
T = int(input())
for t in range(T):
  a = input()
  s = set()
  x,y = 0,0
  ans = 0
  for c in a:
    nx,ny = x,y
    if c == 'E': x+=1
    elif c == 'W': x-=1
    elif c == 'N': y+=1
    elif c == 'S': y-=1
    if (x,y,nx,ny) in s: ans += 1
    else: ans += 5
    s.add((x,y,nx,ny))
    s.add((nx,ny,x,y))
  print(ans)