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;

int N;
string S;
string ans;

bool chk_anim(void) {
	for (int i = 2; i <= N + 1; ++i) {
		char ox = (i < N + 1) ? S[i - 1] : S[0];
		if ((ox == 'o' && ans[i - 1] == 'S') || (ox == 'x' && ans[i - 1] == 'W'))
			ans[i] = ans[i - 2];
		else
			ans[i] = (ans[i - 2] == 'S') ? 'W' : 'S';
	}

	if (ans[N] == ans[0] && ans[N + 1] == ans[1]) {
		ans.erase(N);
		return true;
	}
	else
		return false;
}

int main(void) {
	cin >> N;
	cin >> S;

	ans.resize(N + 2, ' ');
	ans[0] = 'S';	ans[1] = 'S';
	bool flag = chk_anim();
	if (!flag) {
		ans[0] = 'S';	ans[1] = 'W';
		flag = chk_anim();
	}
	if (!flag) {
		ans[0] = 'W';	ans[1] = 'S';
		flag = chk_anim();
	}
	if (!flag) {
		ans[0] = 'W';	ans[1] = 'W';
		flag = chk_anim();
	}

	if (flag)
		cout << ans << '\n';
	else
		cout << "-1" << '\n';
	return 0;
}
