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();
    String s = sc.next();
    int p = -1;
 //   String[] ans = new String[n];
    char[] temp = new char[n];
    for(int k = 0; k < 4; k++) {
      int m = k;
      if((m % 2) == 0) {
        temp[0] = 'W';
      } else {
        temp[0] = 'S';
      }
      m /= 2;
      if((m % 2) == 0) {
        temp[1] = 'W';
      } else {
        temp[1] = 'S';
      }
      for(int i = 1; i < (n - 1); i++) {
        if(s.charAt(i) == 'o') {
          if(temp[i] == 'W') {
            if(temp[i - 1] == 'W') {
              temp[i + 1] = 'S';
            } else {
              temp[i + 1] = 'W';
            }
          } else {
            temp[i + 1] = temp[i - 1];
          }
        } else {
          if(temp[i] == 'W') {
            temp[i + 1] = temp[i - 1];
          } else {
            if(temp[i - 1] == 'W') {
              temp[i + 1] = 'S';
            } else {
              temp[i + 1] = 'W';
            }
          }
        }
      }
      int q = 0;
      for(int i = 0; i < n; i++) {
        int a = i - 1;
        int b = i + 1;
        if(i == 0) a = (n - 1);
        if(i == (n - 1)) b = 0;
        if(s.charAt(i) == 'o') {
          if(temp[i] == 'W') {
            if(temp[a] == temp[b]) q = 1;
          } else {
            if(temp[a] != temp[b]) q = 1;
          }
        } else {
          if(temp[i] == 'W') {
            if(temp[a] != temp[b]) q = 1;
          } else {
            if(temp[a] == temp[b]) q = 1;
          }
        }
      }
      if(q == 0) {
        p = 0;
        break;
      } else {
        
      }
    }
    if(p == -1) {
      System.out.println(-1);
    } else {
      System.out.println(new String(temp));
    }
  }
}