1351_C. Skier
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
```python
num_lines = int(input())

for _ in range(num_lines):
    d = input()
    c = 0
    points = set()

    start_point = (0, 0)
    for s in d:
        if s == 'N':
            end_point = (start_point[0] + 1, start_point[1])
        if s == 'S':
            end_point = (start_point[0] - 1, start_point[1])
        if s == 'W':
            end_point = (start_point[0], start_point[1] + 1)
        if s == 'E':
            end_point = (start_point[0], start_point[1] - 1)

        t = (start_point, end_point)

        if t in points or (t[1], t[0]) in points:
            c += 1
        else:
            c += 5
        points.add(t)

        start_point = end_point
    print(c)

```