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;
  vector<int> animal={1,-1};
  vector<int> ss(N);
  bool flag=false;
  for(int i=0;i<2;i++){
    for(int j=0;j<2;j++){
      ss.at(0)=animal.at(i);
      ss.at(1)=animal.at(j);
      for(int k=1;k<N-1;k++){
        int x;
        if(s.at(k)=='o'){
          x=1;
        }else{
          x=-1;
        }
        ss.at(k+1)=x*ss.at(k-1)*ss.at(k);
      }
      int x;
      if(s.at(N-1)=='o'){
        x=1;
      }else{
        x=-1;
      }
      int y;
      if(s.at(0)=='o'){
        y=1;
      }else{
        y=-1;
      }
      if(ss.at(N-2)*ss.at(N-1)*x==ss.at(0)&&ss.at(N-1)*ss.at(0)*y==ss.at(1)){
        flag=true;
        break;
      }
    }
    if(flag){
      break;
    }
  }
  
  if(flag){
    for(int i=0;i<N;i++){
      if(ss.at(i)==1){
        cout<<'S';
      }else{
        cout<<'W';
      }
    }
    cout<<endl;
  }else{
    cout<<-1<<endl;
  }
}
  
      