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 _ in range(t):
    crd = set()
    path = input()
    x,y = 0,0
    sum = 0
    for c in path:
        if c=='N':
            if (x,y-1,x,y) in crd:
                sum += 1
            elif (x,y,x,y-1) in crd:
                sum += 1
            else:
                crd.add((x,y-1, x, y))
                sum += 5
            x,y=x,y-1
        elif c == 'S':
            if (x,y+1,x,y) in crd:
                sum += 1
            elif (x,y,x,y+1) in crd:
                sum += 1
            else:
                crd.add((x,y+1, x, y))
                sum += 5
            x,y=x,y+1
        elif c=='W':
            if (x+1,y,x,y) in crd:
                sum += 1
            elif (x,y,x+1,y) in crd:
                sum += 1
            else:
                crd.add((x+1,y, x, y))
                sum += 5
            x,y=x+1,y
        elif c=='E':
            if (x-1,y,x,y) in crd:
                sum += 1
            elif (x,y,x-1,y) in crd:
                sum += 1
            else:
                crd.add((x-1,y, x, y))
                sum += 5
            x,y = x-1,y
    print(sum)