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.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int N = Integer.parseInt(sc.next());
        String S = sc.next();
        int[] answers = new int[2*N];
        char[] animals = new char[2*N];
        for (int i=0;i<N;i++) {
            if (S.charAt(i)=='o') answers[i]=1;
        }
        answers[N]=answers[0];

        int flag = 0;
        StringBuilder sb = new StringBuilder();

        for (int j=0;j<4;j++) {
            if (j%2==0) animals[0]='S';
            else animals[0]='W';
            if (j/2==0) animals[1]='S';
            else animals[1]='W';
            for (int i=0;i<N;i++) {
                animals[i+2]=put_animal(animals[i], animals[i+1], answers[i+1]);
            }
            if (animals[N]==animals[0] && animals[N+1]==animals[1]) {
                flag=1;
                sb = new StringBuilder();
                for (int i=0;i<N;i++) {
                    sb.append(animals[i]);
                }
            }
        }

        if (flag==0) System.out.println(-1);
        else System.out.println(sb);
    }

    static char put_animal(char before, char center, int answer) {
        if (before=='S' && center=='S') {
            if (answer==1) return 'S';
            else return 'W';
        } else if (before=='S' && center=='W') {
            if (answer==1) return 'W';
            else return 'S';
        } else if (before=='W' && center=='S') {
            if (answer==1) return 'W';
            else return 'S';
        } else {
        // } else if (before=='W' && center=='W') {
            if (answer==1) return 'S';
            else return 'W';
        }
    }
}