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;

bool check(int n, string &s, string &ans){
    for (int i = 0; i < s.size(); i++){
        if (s[i] == 'o'){
            if (ans[i+1] == 'S') ans += ans[i];
            else {
                if (ans[i] == 'S') ans += 'W';
                else ans += 'S';
            }
        }
        else {
            if (ans[i+1] == 'W') ans += ans[i];
            else {
                if (ans[i] == 'S') ans += 'W';
                else ans += 'S';
            }
        }
    }
    if (ans[n] == ans[0] && ans[n+1] == ans[1]) cout << ans.substr(1, n) << endl;
    return (ans[n] == ans[0] && ans[n+1] == ans[1]);
}

int main(){
    int n;
    cin >> n;
    string s;
    cin >> s;
    string one = "SS";
    string two = "WW";
    string three = "SW";
    string four = "WS";
    if (check(n, s, one));
    else if (check(n, s, two));
    else if (check(n, s, three));
    else if (check(n, s, four));
    else cout << - 1 << endl;
}