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 <cstring>
using namespace std;
int main()
{
    int n;
    string s;
    cin >> n >> s;
    
    for(int i=0; i<4; ++i){
        string ans(n, ' ');
        ans[0] = (i&1) ? 'S' : 'W';
        ans[1] = (i&2) ? 'S' : 'W';
        
        for(int j=1; j<n-1; ++j){
            if((ans[j] == 'W') ^ (s[j] == 'x'))
                ans[j+1] = 'S' + 'W' - ans[j-1];
            else
                ans[j+1] = ans[j-1];
        }
        
        if((ans[0] == 'W') ^ (s[0] == 'x') ^ (ans[n-1] != ans[1]))
            continue;
        if((ans[n-1] == 'W') ^ (s[n-1] == 'x') ^ (ans[n-2] != ans[0]))
            continue;
        
        cout << ans << endl;
        return 0;
    }
    
    cout << -1 << endl;
    return 0;
}