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
import sys


def main():
    N = int(input())
    s = list(input())
    s.append(s[0])
    s.insert(0, s[-2])

    init = ((0, 0), (0, 1), (1, 0), (1, 1))
    for i in init:
        p = [0] * (N+2)
        p[0] = i[0]
        p[1] = i[1]
        for j in range(1, N+1):
            if s[j] == "o":
                if p[j] == 0:
                    p[j+1] = p[j-1] ^ 0
                else:
                    p[j+1] = p[j-1] ^ 1
            else:
                if p[j] == 0:
                    p[j+1] = p[j-1] ^ 1
                else:
                    p[j+1] = p[j-1] ^ 0

        if p[0] == p[-2] and p[1] == p[-1]:
            ss = list(map(lambda x: "W" if x == 1 else "S", p[1:N+1]))
            print(''.join(ss))
            sys.exit()
    else:
        print(-1)


main()
