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;

char f(char sw1, char sw2, char tf) {
	if ((sw2 == 'S' && tf == 'o') || (sw2 == 'W' && tf == 'x')) return sw1;
	return sw1 == 'S' ? 'W' : 'S';
}

int main() {
	int n; string s;
	cin >> n >> s;
	string t[4] = { "SS", "SW", "WS", "WW" };
	for (int i = 0; i < 4; i++) {
		string ans = t[i];
		for (int j = 0; j < n - 2; j++) {
			ans += f(ans[j], ans[j + 1], s[j + 1]);
		}
		if (f(ans[n - 2], ans[n - 1], s[n - 1]) != ans[0]) continue;
		if (f(ans[n - 1], ans[0], s[0]) != ans[1]) continue;
		cout << ans << endl;
		return 0;
	}
	cout << -1 << endl;

	return 0;
}