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

#define fi first
#define se second
#define sz(v) (int)((v).size())
#define pb push_back

typedef long long ll;

int main()
{
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	int n; cin >> n;
	vector<int> v(n);
	string s; cin >> s;
	for (int i=0; i<4; i++){
		v[0] = i%2;
		v[1] = i/2;
		for (int j = 2; j < n; j++) {
			v[j] = (s[j-1]=='o')^v[j-2]^v[j-1];
		}

		if( ( (v[0]^v[1]^(s[0]=='o')) == v[n-1]) && ( ((v[n-2]^v[n-1]^(s[n-1]=='o'))&1) == v[0]) ){
			for (int i = 0; i < n; i++) {
				cout << "WS"[v[i]];
			}
			cout << "\n";
			//cout << ( (v[0]^v[1]^(s[0]=='o')) == v[n-1]) <<" "<< ( (v[n-2]^v[n-1]^(s[n-1]=='o')) == v[0]) << "\n";
			return 0;
		}
	}
	cout << "-1\n";
}
