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>
using namespace std;

typedef long long ll;

#define min(a, b) ((a) < (b))? (a):(b)
#define max(a, b) ((a) > (b))? (a):(b)
#define abs(a) ((a) < (0)? -(a):(a))
#define rep(i, n) REP(i, 0, (n))
#define REP(i, a, n) for(typeof(n) i=(a); i<(n); i++)
#define pb push_back

int main() {
	int N; cin >> N;
	string s; cin >> s;
	for(string head: {"SS", "SW", "WS", "WW"}) {
	    string ans = head;
	    REP(i, 1, N+1) {
	        string tail = ans.substr(ans.size()-2, 2);
	        if(s[i%N]=='o') ans.pb((tail=="SS"||tail=="WW")? 'S':'W');
	        else ans.pb((tail=="SS"||tail=="WW")? 'W':'S');
	    }
	    if(ans.substr(N,2)==head) {cout << ans.substr(0, N) << endl; return 0;}
	}
	cout << "-1" << endl;
}
