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 <iostream>
#include <string>
using namespace std;

typedef long long lint;

int main(){
    int N;
    string s;
    cin >> N >> s;
    string init[4]={"SS","SW","WS","WW"};

    for(int i=0;i<4;i++){
        char *res;
        res=new char[N];
        res[0]=init[i][0];
        res[1]=init[i][1];

        for(int j=1;j<N-1;j++){
            if((s[j]=='o' && res[j]=='S')||(s[j]=='x' && res[j]=='W')) res[j+1]=res[j-1];
            else res[j+1]=(res[j-1]=='S'?'W':'S');
        }
        char test[2];

        if((s[N-1]=='o' && res[N-1]=='S')||(s[N-1]=='x' && res[N-1]=='W')) test[0]=res[N-2];
        else test[0]=(res[N-2]=='S'?'W':'S');
        if((s[0]=='o' && res[0]=='S')||(s[0]=='x' && res[0]=='W')) test[1]=res[N-1];
        else test[1]=(res[N-1]=='S'?'W':'S');

        if(test[0]==init[i][0] && test[1]==init[i][1]){
            for(int i=0;i<N;i++) cout << res[i];
            cout << endl;
            return 0;
        }
        delete[] res;
    }
    cout << (-1) << endl;
    return 0;
}