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 main() {
    int N;cin >> N;
    string s; cin >> s;
    //1 : 羊 , -1 : 狼
    int shoki[4][2] ={{1,1},{1,-1},{-1,1},{-1,-1},};
    int flag = 0;
    for (int i=0;i<4;i++){
        int hype[N+2]; hype[0]= shoki[i][0]; hype[1]= shoki[i][1];
        for (int j=0;j<N;j++){
            if(s[j]=='o') hype[j+2]= hype[j+1]*hype[j];
            else hype[j+2]= -hype[j+1]*hype[j];
        }
        if ((hype[0]==hype[N])&&(hype[1]==hype[N+1])){
            for (int j=0;j<N;j++){
                if (hype[j+1]==1) cout << "S";
                else cout << "W";
                if (j==N-1) cout << "\n";
            }
            flag = 1;
        }
        if (flag) break;
    }
    if (!flag) cout << -1 << "\n";
}