#include<bits/stdc++.h>
using namespace std;

int main() {
    int n;
    cin >> n;
    string s;
    cin >> s, s += s[0];
    vector<string> init { "SS", "SW", "WS", "WW" };
    for (auto& e : init) {
        for (int i = 1; i <= n; i++) {
            auto b = e[i] == 'S' ? 'o' : 'x';
            auto p = s[i] == b ? 'S' : 'W';
            e += e[i-1] == p ? 'S' : 'W';
        }
        if (e.substr(0, 2) == e.substr(n, 2)) {
            cout << e.substr(0, n) << endl;
            return 0;
        }
    }

    cout << -1 << endl;
}

### Prompt

Please create a solution in Cpp to the following problem:

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

### Response

```cpp
#include<bits/stdc++.h>
using namespace std;

int main() {
    int n;
    cin >> n;
    string s;
    cin >> s, s += s[0];
    vector<string> init { "SS", "SW", "WS", "WW" };
    for (auto& e : init) {
        for (int i = 1; i <= n; i++) {
            auto b = e[i] == 'S' ? 'o' : 'x';
            auto p = s[i] == b ? 'S' : 'W';
            e += e[i-1] == p ? 'S' : 'W';
        }
        if (e.substr(0, 2) == e.substr(n, 2)) {
            cout << e.substr(0, n) << endl;
            return 0;
        }
    }

    cout << -1 << endl;
}

```