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>
#define SORT(x) sort(x.begin(),x.end())
#define ALL(x) x.begin(),x.end()
#define rep(i, n) for(int i = 0; i < n; i++)
#define reps(i, m, n) for(int i = m; i < n; i++)
#define repr(i, m, n) for(int i = m; i >= n; i--)
#define INF 1000000007
#define PI (acos(-1))
#define MOD 1000000007
using namespace std;
typedef long long ll;


void Main(){

  int N;
  string s;
  cin>>N>>s;
  vector<string> s1={"SS","WW","SW","WS"};

  rep(x,4){
    reps(i,1,N-1){
      s1[x]+=( !(s1[x][i]==s1[x][i-1]) xor (s[i]=='o') ? 'S' : 'W' );
    }

    if( ( (s1[x][0]==s1[x][N-2]) xor (s[N-1]=='o') xor s1[x][N-1]=='S') and ( (s1[x][N-1]==s1[x][1]) xor (s[0]=='o') xor s1[x][0]=='S' ) ){
      cout << s1[x] <<"\n";
      return;
    }

  }

  cout << -1 <<"\n";
}
//-----------------------------------
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  cout << fixed << setprecision(15);
  Main();
}
//-----------------------------------
