#include <bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(n);i++)

using namespace std;

int main(){
	int n;
	string s; cin>>n>>s;
	vector<int> v(n);
	rep(i,n) v[i]=(s[i]=='o');

	vector<int> ans(n);
	rep(i,2) rep(j,2) {
		ans[0]=i;
		ans[1]=j;
		rep(x,n-2) ans[x+2]=(ans[x+1]==v[x+1]?ans[x]:!ans[x]);

		bool ng=false;
		ng|=(ans[ 0 ]==v[ 0 ])^(ans[1]==ans[n-1]);
		ng|=(ans[n-1]==v[n-1])^(ans[0]==ans[n-2]);
		if(!ng){
			rep(i,n) cout<<(ans[i]?'S':'W');
			cout<<'\n';
			return 0;
		}
	}
	cout<<"-1\n";

	return 0;
}

### Prompt

Your challenge is to write a CPP solution to the following problem:

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

### Response

```cpp
#include <bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(n);i++)

using namespace std;

int main(){
	int n;
	string s; cin>>n>>s;
	vector<int> v(n);
	rep(i,n) v[i]=(s[i]=='o');

	vector<int> ans(n);
	rep(i,2) rep(j,2) {
		ans[0]=i;
		ans[1]=j;
		rep(x,n-2) ans[x+2]=(ans[x+1]==v[x+1]?ans[x]:!ans[x]);

		bool ng=false;
		ng|=(ans[ 0 ]==v[ 0 ])^(ans[1]==ans[n-1]);
		ng|=(ans[n-1]==v[n-1])^(ans[0]==ans[n-2]);
		if(!ng){
			rep(i,n) cout<<(ans[i]?'S':'W');
			cout<<'\n';
			return 0;
		}
	}
	cout<<"-1\n";

	return 0;
}

```