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.Scanner;

public class Main {
	public static void main(String[] args){
		Scanner io = new Scanner(System.in);	
		int N = io.nextInt();
		String s = io.next();
		s = s + s.charAt(0);
		int[] exp = new int[N+2];
		for(int i=0;i<2;i++){
			for(int j=0;j<2;j++){
				exp[0] = (i==0)?1:-1;
				exp[1] = (j==0)?1:-1;
				for(int k=2;k<=N+1;k++){
					if(exp[k-1]==1){
						exp[k] = (s.charAt(k-1)=='o')?exp[k-2]:-exp[k-2];
					}else{
						exp[k] = (s.charAt(k-1)=='o')?-exp[k-2]:exp[k-2];
					}
				}
				if(exp[0]==exp[N] && exp[1]==exp[N+1]){
					StringBuffer ans = new StringBuffer();
					for (int l = 0; l < N; l++) {
						ans.append((exp[l]==1)?'S':'W');
					}
					System.out.println(ans);
					return;
				}
			}
		}
		System.out.println(-1);
	}
}