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
#include <bits/stdc++.h>
using namespace std;
 
int main() {
  int N;
  string S;
  cin >> N >> S;
  string ans="";
  char d1[2]={'S','W'};
  char dN[2]={'S','W'};
  for (int i=0;i<2;i++){
    for (int j=0;j<2;j++){
      string a="";
      a+=d1[i];
      if ((i==0&&S[0]=='o')||(i==1&&S[0]=='x')){
        a+=dN[j];
      }
      else {
        a+=dN[(j+1)%2];
      }
      for (int k=1;k<N-1;k++){
        if ((a[k]=='S'&&S[k]=='o')||(a[k]=='W'&&S[k]=='x')){
          a+=a[k-1];
        }
        else {
          if (a[k-1]=='S'){
            a+='W';
          }
          else {
            a+='S';
          }
        }
      }
      if (a[N-1]==dN[j]){
        if (((j==0&&S[N-1]=='o')||(j==1&&S[N-1]=='x'))&&a[0]==a[N-2]){
          ans=a;
        }
        else if (((j==0&&S[N-1]=='x')||(j==1&&S[N-1]=='o'))&&a[0]!=a[N-2]){
          ans=a;
        }
      }
    }
  }
  if (ans.size()>0){
    cout << ans << endl;
  }
  else {
    cout << -1 << endl;
  }
}