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 <cstdio>
#include <vector>

int main()
{
	std::vector<bool> answer;
	std::vector<bool> isWolf;

	int n;
	std::cin >> n;
	answer.resize(n);
	isWolf.resize(n);
	while (getchar() != '\n')
		continue;
	for (int i = 0; i < n; ++i)
		answer[i] = getchar() == 'x';

	bool hasSolution = false;
	for (int start = 0; start < 4; ++start)
	{
		isWolf[0] = start & 1;
		isWolf[1] = start & 2;
		for (int i = 2; i < n; ++i)
			isWolf[i] = (isWolf[i - 2] != isWolf[i - 1] != answer[i - 1]);
		if ((isWolf[n - 2] != isWolf[n - 1] != answer[n - 1]) == isWolf[0] &&
			(isWolf[n - 1] != isWolf[0] != answer[0]) == isWolf[1])
		{
			hasSolution = true;
			break;
		}
	}
	if (hasSolution)
	{
		for (int i = 0; i < n; ++i)
			putchar(isWolf[i] ? 'W' : 'S');
		std::cout << std::endl;
	}
	else
		std::cout << "-1" << std::endl;

	return 0;
}