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
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.HashSet;

public class C {

	public static void main(String[] args) throws NumberFormatException, IOException {
		BufferedReader file = new BufferedReader(new InputStreamReader(System.in));
		int inputs = Integer.parseInt(file.readLine());
		while(inputs-->0) {
			String path = file.readLine();
			HashSet<String> visited = new HashSet<>();
			int x = 0, y = 0, dx = 0, dy = 0;
			int time = 0;
			for(char c : path.toCharArray()) {
				switch(c) {
				case 'N':
					dx = 0; dy = 1;
					break;
				case 'S':
					dx = 0; dy = -1;
					break;
				case 'E':
					dx = 1; dy = 0;
					break;
				case 'W':
					dx = -1; dy = 0;
					break;
				}
				if(visited.contains(x+ " " +y+" "+(x+dx) + " " +(y+dy))) {
					time++;
				}
				else {
					visited.add(x+ " " +y+" "+(x+dx) + " " +(y+dy));
					visited.add((x+dx) + " "+ (y+dy)+ " " +x +" " + y);
					time += 5;
				}
				x += dx;
				y += dy;
			}
			System.out.println(time);
		}
		file.close();
	}

}
