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

bool try_sw(bool t0, bool t1, int N, const vector<bool> &ox){
    vector<bool> sws(N + 1, false);
    string SW = "SW";
    sws[0] = t0;
    sws[1] = t1;
    for (int i = 1; i < N; ++i) sws[i + 1] = ox[i] xor (sws[i] xor sws[i - 1]);
    if ((sws[0] == sws[N]) and (sws[N - 1] == ox[0] xor (t0 xor t1))){
        for (int i = 0; i != N; ++i) cout << SW[int(sws[i])];
        cout << endl;
        return true;
    }
    return false;
}

int main() {
    int N;
    string S;
    cin >> N;
    cin >> S;
    vector<bool> ox(N, false);
    for (int i = 0; i < N; ++i) ox[i] = (S[i] == 'x');
    for (int i = 0; i != 4; ++i){
        bool t0 = i / 2 > 0;
        bool t1 = i % 2 > 0;
        if (try_sw(t0, t1, N, ox)) return 0;
    }
    cout << -1 << endl;
    return 0;
}
