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.*;
import java.util.*;

public class Skier {
    public static void main(String[] args) throws IOException {
        OutputStream out = new BufferedOutputStream(System.out);
        Scan scan = new Scan();
        int t = scan.scanInt();
        while (t-->0){
            int x=0,y=0;
            int time=0;
            Set<String> road = new HashSet<>();
            String path = scan.scanString();
            for (int i=0; i<path.length(); i++){
                String start = x+" "+y;
                if (path.charAt(i)=='N'){
                    y--;
                }else if (path.charAt(i)=='S'){
                    y++;
                }else if (path.charAt(i)=='W'){
                    x--;
                }else if (path.charAt(i)=='E'){
                    x++;
                }
                String finish = x+" "+y;
                String route = start+" "+finish;
                String reverseRoute = finish+" "+start;
                if (road.contains(route) || road.contains(reverseRoute)){
                    time++;
                }else{
                    time+=5;
                    road.add(route);
                    road.add(reverseRoute);
                }
            }
            out.write((time+"\n").getBytes());
        }
        out.flush();
    }

    private static class FastReader{
        final private int BUFFER_SIZE = 1 << 16;
        private byte[] buffer;
        private DataInputStream din;
        private int bufferPointer, bytesRead;

        public FastReader(){
            buffer = new byte[BUFFER_SIZE];
            din = new DataInputStream(System.in);
            bufferPointer = bytesRead = 0;
        }

        private String nextLine() throws IOException {
            StringBuilder sb = new StringBuilder();
            byte c;
            while((c = read()) != -1 && c != '\n'){
                sb.appendCodePoint(c);
            }
            return sb.toString();
        }

        private int nextInt() throws IOException{
            int ret = 0;
            byte c = read();
            while(c <= ' '){
                c = read();
            }
            boolean neg = c == '-';
            if(neg){
                c = read();
            }
            while(c >= '0' && c <= '9'){
                ret = ret * 10 + c - '0';
                c = read();
            }
            return (neg) ? -ret : ret;
        }

        private long nextLong() throws IOException{
            long ret = 0;
            byte c = read();
            while(c <= ' '){
                c = read();
            }
            boolean neg = c == '-';
            if(neg){
                c = read();
            }
            while(c >= '0' && c <= '9'){
                ret = ret * 10 + c - '0';
                c = read();
            }
            return (neg) ? -ret : ret;
        }

        private double nextDouble() throws IOException{
            double ret = 0, div = 1;
            byte c = read();
            while(c <= ' '){
                c = read();
            }
            boolean neg = c == '-';
            if(neg){
                c = read();
            }
            while(c >= '0' && c <= '9'){
                ret = ret * 10 + (c - '0');
                c = read();
            }
            if(c == '.'){
                while((c = read()) >= '0' && c <= '9'){
                    ret += (c - '0') / (div *= 10);
                }
            }
            return (neg) ? -ret : ret;
        }

        private void fillBuffer() throws IOException {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if(bytesRead == -1){
                buffer[0] = -1;
            }
        }

        private byte read() throws IOException {
            if(bufferPointer == bytesRead){
                fillBuffer();
            }
            return buffer[bufferPointer++];
        }

        private void close() throws IOException{
            if(din != null){
                din.close();
            }
        }

    }

    private static class Scan
    {
        private byte[] buf=new byte[1024];
        private int index;
        private InputStream in;
        private int total;
        public Scan()
        {
            in=System.in;
        }
        public int scan()throws IOException
        {
            if(total<0)
                throw new InputMismatchException();
            if(index>=total)
            {
                index=0;
                total=in.read(buf);
                if(total<=0)
                    return -1;
            }
            return buf[index++];
        }
        public int scanInt()throws IOException
        {
            int integer=0;
            int n=scan();
            while(isWhiteSpace(n))
                n=scan();
            int neg=1;
            if(n=='-')
            {
                neg=-1;
                n=scan();
            }
            while(!isWhiteSpace(n))
            {
                if(n>='0'&&n<='9')
                {
                    integer*=10;
                    integer+=n-'0';
                    n=scan();
                }
                else throw new InputMismatchException();
            }
            return neg*integer;
        }
        public double scanDouble()throws IOException
        {
            double doub=0;
            int n=scan();
            while(isWhiteSpace(n))
                n=scan();
            int neg=1;
            if(n=='-')
            {
                neg=-1;
                n=scan();
            }
            while(!isWhiteSpace(n)&&n!='.')
            {
                if(n>='0'&&n<='9')
                {
                    doub*=10;
                    doub+=n-'0';
                    n=scan();
                }
                else throw new InputMismatchException();
            }
            if(n=='.')
            {
                n=scan();
                double temp=1;
                while(!isWhiteSpace(n))
                {
                    if(n>='0'&&n<='9')
                    {
                        temp/=10;
                        doub+=(n-'0')*temp;
                        n=scan();
                    }
                    else throw new InputMismatchException();
                }
            }
            return doub*neg;
        }
        public String scanString()throws IOException
        {
            StringBuilder sb=new StringBuilder();
            int n=scan();
            while(isWhiteSpace(n))
                n=scan();
            while(!isWhiteSpace(n))
            {
                sb.append((char)n);
                n=scan();
            }
            return sb.toString();
        }
        private boolean isWhiteSpace(int n)
        {
            if(n==' '||n=='\n'||n=='\r'||n=='\t'||n==-1)
                return true;
            return false;
        }
    }
}
