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.*;
import java.io.*;
import static java.lang.Math.*;

public class Main {
    public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		
		// 入力
		int n = sc.nextInt();
		String s = sc.next();
		
		// 計算
		int result = -1;
		boolean flg = false;
		char[] array = new char[n+1];
		array[0] = 'S';
		array[1] = 'S';
		for(int i = 0; i < n; i++){
		    if(i != n-1){
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'S';
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'S';
		    }else{
		        if(array[i+1] == array[0] && s.charAt(0) == 'o' && array[i] == array[1]) flg = true;
		        if(array[i+1] == array[0] && s.charAt(0) == 'x' && array[i] != array[1]) flg = true;
		    }
		}
		if(flg){
		    String r = new String(array, 0, n);
		    System.out.println(r);
		    return;
		}
		array[0] = 'S';
		array[1] = 'W';
		for(int i = 0; i < n; i++){
		    if(i != n-1){
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'S';
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'S';
		    }else{
		        if(array[i+1] == array[0] && s.charAt(0) == 'o' && array[i] == array[1]) flg = true;
		        if(array[i+1] == array[0] && s.charAt(0) == 'x' && array[i] != array[1]) flg = true;
		    }
		}
		if(flg){
		    String r = new String(array, 0, n);
		    System.out.println(r);
		    return;
		}
		array[0] = 'W';
		array[1] = 'S';
		for(int i = 0; i < n; i++){
		    if(i != n-1){
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'S';
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'S';
		    }else{
		        if(array[i+1] == array[0] && s.charAt(0) == 'o' && array[i] != array[1]) flg = true;
		        if(array[i+1] == array[0] && s.charAt(0) == 'x' && array[i] == array[1]) flg = true;
		    }
		}
		if(flg){
		    String r = new String(array, 0, n);
		    System.out.println(r);
		    return;
		}
		array[0] = 'W';
		array[1] = 'W';
		for(int i = 0; i < n; i++){
		    if(i != n-1){
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'S';
		        if(array[i] == array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'o') array[i+2] = 'W';
		        if(array[i] != array[i+1] && s.charAt(i+1) == 'x') array[i+2] = 'S';
		    }else{
		        if(array[i+1] == array[0] && s.charAt(0) == 'o' && array[i] != array[1]) flg = true;
		        if(array[i+1] == array[0] && s.charAt(0) == 'x' && array[i] == array[1]) flg = true;
		    }
		}
		if(flg){
		    String r = new String(array, 0, n);
		    System.out.println(r);
		    return;
		}
		
		// 出力
		System.out.println(result);
	}
	
	public static class Scanner {
		private BufferedReader br; private StringTokenizer tok;
		public Scanner(InputStream is) throws IOException { br = new BufferedReader(new InputStreamReader(is));}
		private void getLine() throws IOException { while(!hasNext()) tok = new StringTokenizer(br.readLine());}
		private boolean hasNext() { return tok != null && tok.hasMoreTokens();}
		public String next() throws IOException { getLine(); return tok.nextToken();}
		public int nextInt() throws IOException { return Integer.parseInt(next());}
		public long nextLong() throws IOException { return Long.parseLong(next());}
		public double nextDouble() throws IOException { return Double.parseDouble(next());}
	}
}

