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 <vector>
#include <map>
#include <algorithm>
#include <utility>
#include <iomanip>
#include <cmath>
#include <bitset>
#include <string>
#define REP(i,n) for(int i=0;i<n;i++)
using Int = long long;
using namespace std;
int main()
{
    int N; cin >> N;
    vector<bool> same(N);
    REP(i, N) {
        char c; cin >> c;
        same[i] = (c == 'o');
    }
    vector<bool> sheep(N);
    REP(i, 4) {
        sheep[0] = ~i & 1;
        sheep[1] = ~i & 2;
        for (int j = 2; j < N; j++) {
            sheep[j] = sheep[j-2] ^ ~same[j-1] ^ ~sheep[j-1];
        }
        if ((sheep[0] == (sheep[N-2] ^ ~same[N-1] ^ ~sheep[N-1])) &&
            (sheep[1] == (sheep[N-1] ^ ~same[0] ^ ~sheep[0]))) {
            REP(i, N) cout << "WS"[sheep[i]];
            cout << endl;
            return 0;
        }
    }
    cout << -1 << endl;
    return 0;
}