Snuke, who loves animals, built a zoo.

There are N animals in this zoo. They are conveniently numbered 1 through N, and arranged in a circle. The animal numbered i (2≤i≤N-1) is adjacent to the animals numbered i-1 and i+1. Also, the animal numbered 1 is adjacent to the animals numbered 2 and N, and the animal numbered N is adjacent to the animals numbered N-1 and 1.

There are two kinds of animals in this zoo: honest sheep that only speak the truth, and lying wolves that only tell lies.

Snuke cannot tell the difference between these two species, and asked each animal the following question: "Are your neighbors of the same species?" The animal numbered i answered s_i. Here, if s_i is `o`, the animal said that the two neighboring animals are of the same species, and if s_i is `x`, the animal said that the two neighboring animals are of different species.

More formally, a sheep answered `o` if the two neighboring animals are both sheep or both wolves, and answered `x` otherwise. Similarly, a wolf answered `x` if the two neighboring animals are both sheep or both wolves, and answered `o` otherwise.

Snuke is wondering whether there is a valid assignment of species to the animals that is consistent with these responses. If there is such an assignment, show one such assignment. Otherwise, print `-1`.

Constraints

* 3 ≤ N ≤ 10^{5}
* s is a string of length N consisting of `o` and `x`.

Input

The input is given from Standard Input in the following format:


N
s


Output

If there does not exist an valid assignment that is consistent with s, print `-1`. Otherwise, print an string t in the following format. The output is considered correct if the assignment described by t is consistent with s.

* t is a string of length N consisting of `S` and `W`.
* If t_i is `S`, it indicates that the animal numbered i is a sheep. If t_i is `W`, it indicates that the animal numbered i is a wolf.

Examples

Input

6
ooxoox


Output

SSSWWS


Input

3
oox


Output

-1


Input

10
oxooxoxoox


Output

SSWWSSSWWS
import java.io.*;
import java.util.*;
public class Main {
    private static MyScanner scanner;
    private int N;
    private String s;

    public static void main (String[] args){
        Main instance = new Main();
        scanner = instance.new MyScanner();
        instance.solve();
    }

    private void solve() {
        try {
            N = scanner.nextInt();
            s = scanner.next();
            int[] circle = new int[N];
            int[] pair1 = {1, 1, 2, 2};
            int[] pair2 = {1, 2, 1, 2};
            boolean success = false;
            int i = 0;
            while (!success && i < 4) {
                circle[0] = pair1[i];
                circle[1] = pair2[i];
                if (isM(circle)) {
                    printCircle(circle);
                    success = true;
                }
                i++;
            }
            if (!success) {
                System.out.println(-1);
            }
        } catch (Exception e) {
            e.printStackTrace();
        }
    }

    private void printCircle (int[] circle) {
        for (int i = 0; i< N; i++) {
            if (circle[i] == 1) {
                System.out.print("S");
            } else {
                System.out.print("W");
            }
        }
        System.out.println();
    }

    private boolean isM (int[] circle) {
        for (int i = 1; i < N-1; i++) {
            String ox = s.substring(i, i+1);
            if ((circle[i]==1 && ox.equals("o")) || (circle[i]==2 && ox.equals("x"))) {
                circle[i+1] = circle[i-1];
            }
            if ((circle[i]==1 && ox.equals("x")) || (circle[i]==2 && ox.equals("o"))) {
                circle[i+1] = circle[i-1] == 1 ? 2 : 1;
            }
        }
        boolean success1 = false;
        String first = s.substring(0, 1);
        if (circle[1] == circle[N-1]) {
            if ((circle[0]==1 && first.equals("o")) || (circle[0]==2 && first.equals("x"))) {
                success1 = true;
            }
        }
        if (circle[1] != circle[N-1]) {
            if ((circle[0]==1) && first.equals("x") || (circle[0]==2 && first.equals("o"))) {
                success1 = true;
            }
        }
        boolean success2 = false;
        String last = s.substring(s.length()-1);
        if (circle[0] == circle[N-2]) {
            if ((circle[N-1]==1 && last.equals("o")) || (circle[N-1]==2 && last.equals("x"))) {
                success2 = true;
            }
        }
        if (circle[0] != circle[N-2]) {
            if ((circle[N-1]==1) && last.equals("x") || (circle[N-1]==2 && last.equals("o"))) {
                success2 = true;
            }
        }
        return success1 && success2;
    }

    private class MyScanner {
        String[] s;
        int i;
        BufferedReader br;
        String reg = " ";

        MyScanner () {
            s = new String[0];
            i = 0;
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        public String next() throws IOException {
            if (i < s.length) return s[i++];
            String line = br.readLine();
            while (line.equals("")) {
                line = br.readLine();
            }
            s = line.split(reg, 0);
            i = 0;
            return s[i++];
        }

        public int nextInt() throws NumberFormatException, IOException {
            return Integer.parseInt(next());
        }

        public double nextDouble() throws NumberFormatException, IOException {
            return Double.parseDouble(next());
        }

        public long nextLong() throws NumberFormatException, IOException {
            return Long.parseLong(next());
        }
    }
}