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 = sc.nextInt();
		char[] arr = sc.next().toCharArray();
		char[][] mixed = new char[4][n];
		mixed[0][0] = 'W';
		mixed[0][1] = 'W';
		mixed[1][0] = 'W';
		mixed[1][1] = 'S';
		mixed[2][0] = 'S';
		mixed[2][1] = 'W';
		mixed[3][0] = 'S';
		mixed[3][1] = 'S';
		for (int i = 0; i < 4; i++) {
			for (int j = 2; j < n; j++) {
				if (mixed[i][j - 2] == 'S' ^ mixed[i][j - 1] == 'S' ^ arr[j - 1] == 'o') {
					mixed[i][j] = 'S';
				} else {
					mixed[i][j] = 'W';
				}
			}
			if ((mixed[i][n - 1] == 'S' ^ mixed[i][0] == 'S' ^ arr[0] == 'o' ^ mixed[i][1] == 'W') && 
				(mixed[i][n - 2] == 'S' ^ mixed[i][n - 1] == 'S' ^ arr[n - 1] == 'o' ^ mixed[i][0] == 'W')) {
				System.out.println(mixed[i]);
				return;
			}
		}
		System.out.println(-1);
	}
}
