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 N;
string s[4] = {"SS","SW","WW","WS"};
string tmp;

int main() {
  cin >> N >> tmp;

  for(int i = 0; i < 4; i++) {
    string ans = s[i];
    for(int j = 1; j <= N;j++) {
      if(tmp[j%N] == 'o') {
	if(ans[j] == 'S') {
	  if(ans[j-1] == 'S') ans.push_back('S');
	  else ans.push_back('W');
	}
	else {
	  if(ans[j-1] == 'S') ans.push_back('W');
	  else ans.push_back('S');
	}
      }
      else {
	if(ans[j] == 'S') {
	  if(ans[j-1] == 'S')ans.push_back('W');
	  else ans.push_back('S');
	}
	else {
	  if(ans[j-1] == 'S')ans.push_back('S');
	  else ans.push_back('W');
	}
      }
    }
    bool is = false;

    if(ans[0] == ans[ans.length()-2] && ans[1] == ans[ans.length()-1])
      is = true;
    
    if(is) {
     
      cout << ans.substr(0,ans.length()-2) <<endl;
      return 0;
    }
  

  }
    
    cout <<"-1"<<endl;
}
  
