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;
using ll = long long;
using ld = long double;

//#define int long long
//signed main(){
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n;
    string ss;
    cin >> n >> ss;
    ss+=ss[0];
    vector<int> s(n+1);
    for(int i = 0; i <= n; i++) {
        if(ss[i]=='o') s[i]=1;
        else s[i]=0;
    }
    vector<int> t(n+1,-1);
//    for(int i = 0; i < n; i++) {
//        cout << i+1 << "";
//    }
//    cout << "\n";
    for(int j = 0; j < 4; j++) {
        t[0]=j%2;
        t[1]=j/2;
        for(int i = 1; i < n; i++) {
            if(s[i]==t[i]) t[i+1]=t[i-1];
            else t[i+1]=1-t[i-1];
        }

        if(t[n]==t[0] && (((s[0]==t[0])&&(t[1]==t[n-1])) || ((s[0]!=t[0])&&(t[1]!=t[n-1])))){
            for(int i = 0; i < n; i++) {
                if(t[i]) cout << "S";
                else cout << "W";
            }
            cout << "\n";
            return 0;
        }
    }

    cout << "-1" << "\n";
    return 0;
}