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 calc_next(int a, int b, char s){
  if(s=='o'){
    if(a==b) return 1;
    else return 0;
  }else{
    if(a==b) return 0;
    else return 1;
  }
}
 
int main(){
  int n;
  string s;
  cin >> n;
  cin >> s;
  int a[n+2];
  for(int i=0; i<2; i++){
    for(int j=0; j<2; j++){
      bool ok=false;
      a[0] = i;
      a[1] = j;
      for(int i=2; i<n+2; i++){
        a[i]=calc_next(a[i-2],a[(i-1)%n],s[(i-1)%n]);
      }
      if(a[0]==a[n]&&a[1]==a[n+1]) ok = true;
      if(ok){
        for(int k=0; k<n; k++){
          if(a[k]==1) cout << "S";
          else cout << "W";
        }
        cout << endl;
        return 0;
      }
      
    }
  }
  cout << -1 << endl;
  return 0;
}