#include <cstdio>
int n;
char s[100001],r[100001];
bool c(char a,char b)
{
    r[0]=a;
    r[1]=b;
    for (int i=2; i<n; ++i)
        r[i]=r[i-1]=='S'?s[i-1]=='o'?r[i-2]:r[i-2]=='S'?'W':'S':s[i-1]=='x'?r[i-2]:r[i-2]=='S'?'W':'S';
    return !(r[n-1]=='S'&&((s[n-1]=='o'&&r[n-2]!=r[0])||(s[n-1]=='x'&&r[n-2]==r[0])))&&
           !(r[0]=='S'&&((s[0]=='o'&&r[1]!=r[n-1])||(s[0]=='x'&&r[1]==r[n-1])))&&
           !(r[n-1]=='W'&&((s[n-1]=='x'&&r[n-2]!=r[0])||(s[n-1]=='o'&&r[n-2]==r[0])))&&
           !(r[0]=='W'&&((s[0]=='x'&&r[1]!=r[n-1])||(s[0]=='o'&&r[1]==r[n-1])));
}
int main()
{
    scanf("%d%s",&n,s);
    puts(c('S','W')||c('W','S')||c('W','W')||c('S','S')?r:"-1");
    return 0;
}
### Prompt

Please provide a Cpp coded solution to the problem described below:

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 <cstdio>
int n;
char s[100001],r[100001];
bool c(char a,char b)
{
    r[0]=a;
    r[1]=b;
    for (int i=2; i<n; ++i)
        r[i]=r[i-1]=='S'?s[i-1]=='o'?r[i-2]:r[i-2]=='S'?'W':'S':s[i-1]=='x'?r[i-2]:r[i-2]=='S'?'W':'S';
    return !(r[n-1]=='S'&&((s[n-1]=='o'&&r[n-2]!=r[0])||(s[n-1]=='x'&&r[n-2]==r[0])))&&
           !(r[0]=='S'&&((s[0]=='o'&&r[1]!=r[n-1])||(s[0]=='x'&&r[1]==r[n-1])))&&
           !(r[n-1]=='W'&&((s[n-1]=='x'&&r[n-2]!=r[0])||(s[n-1]=='o'&&r[n-2]==r[0])))&&
           !(r[0]=='W'&&((s[0]=='x'&&r[1]!=r[n-1])||(s[0]=='o'&&r[1]==r[n-1])));
}
int main()
{
    scanf("%d%s",&n,s);
    puts(c('S','W')||c('W','S')||c('W','W')||c('S','S')?r:"-1");
    return 0;
}
```