#include <bits/stdc++.h>
using namespace std;
#define rep(i, a) for(int i=0; i<(a); i++)
typedef long long ll;

int main()
{
  ll n; cin >> n;
  string s; cin >> s;
  rep(k, 4) {
    vector<int> a(n, 0);
    rep(i, 2) a[i] = (k>>i)&1;

    for (int i=1; i<n; i++) {
      int l = (i-1+n)%n;
      int r = (i+1)%n;
      int t = s[i]=='o' ? 0 : 1;
      a[r] = a[l]^a[i]^t;
    }
    if ((a[n-1]^a[1]^(s[0]=='o'?0:1)) == a[0]
        && (a[0]^a[2]^(s[1]=='o'?0:1)) == a[1]) {
      rep(j, n) {
        if (a[j]) cout << "W";
        else cout << "S";
      }
      cout << endl;
      return 0;
    }
  }
  cout << -1 << endl;

  return 0;
}

### Prompt

In CPP, your task is to solve the following problem:

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

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a) for(int i=0; i<(a); i++)
typedef long long ll;

int main()
{
  ll n; cin >> n;
  string s; cin >> s;
  rep(k, 4) {
    vector<int> a(n, 0);
    rep(i, 2) a[i] = (k>>i)&1;

    for (int i=1; i<n; i++) {
      int l = (i-1+n)%n;
      int r = (i+1)%n;
      int t = s[i]=='o' ? 0 : 1;
      a[r] = a[l]^a[i]^t;
    }
    if ((a[n-1]^a[1]^(s[0]=='o'?0:1)) == a[0]
        && (a[0]^a[2]^(s[1]=='o'?0:1)) == a[1]) {
      rep(j, n) {
        if (a[j]) cout << "W";
        else cout << "S";
      }
      cout << endl;
      return 0;
    }
  }
  cout << -1 << endl;

  return 0;
}

```