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 <cstdio>
#include <cstring>
using namespace std;

int n;
char *s;

void assign(char **ans, char a0, char a1) {
    char a[n+2];
    a[0] = a0;
    a[1] = a1;
    for (int i = 2; i < n + 2; i++) {
        if ((a[i-1] == 'S') == (s[i-1] == 'o')) {
            a[i] = a[i-2];
        } else {
            if (a[i-2] == 'S') {
                a[i] = 'W';
            } else {
                a[i] = 'S';
            }
        }
    }

    if (a[0] == a[n] && a[1] == a[n+1]) {
        strncpy(*ans, a, n);
    }
    return;
}

int main() {
    scanf("%d", &n);

    s = new char[n+2];
    scanf("%s", s);
    s[n] = s[0];
    s[n+1] = s[1];
    
    char *ans = new char[n];

    char sw[] = "SW";

    for (int i = 0; i < 2; i++) {
        for (int j = 0; j < 2; j++) {
            if (*ans == 0) {
                assign(&ans, sw[i], sw[j]);
            }
        }
    }

    if (*ans == 0) { strcpy(ans, "-1"); }

    printf("%s\n", ans);

    return 0;
}