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
from itertools import product as prod

n = int(input())
ss = list(input())

def next_anim(a_0, a_1, s):
    if s == "o":
        if a_1 == "S":
            return a_0
        else:
            return "W" if a_0 == "S" else "S"
    else:
        if a_1 == "S":
            return "W" if a_0 == "S" else "S"
        else:
            return a_0

ans = -1
anims = ["" for _ in range(n)]
for fst, snd in prod(["W", "S"], repeat=2):
    anims[:2] = [fst, snd]
    for i in range(2, n):
        anims[i] = next_anim(anims[i-2], anims[i-1], ss[i-1])
    tmp_anim = next_anim(snd, fst, ss[0])
    tmp_anim2 = next_anim(anims[-2], anims[-1], ss[-1])
    if tmp_anim == anims[-1] and tmp_anim2 == anims[0]:
        ans = "".join(anims)
        break

print(ans)
