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
N = int(input())
s = input().strip()


def check(a, b):
    v = [0]*N
    v[0] = a
    v[1] = b
    for i in range(1, N-1):
        if s[i] == 'o':
            if v[i]:
                v[i+1] = v[i-1]
            else:
                v[i+1] = not v[i-1]
        else:
            if v[i]:
                v[i+1] = not v[i-1]
            else:
                v[i+1] = v[i-1]

    ok = True
    for i in range(N):
        same = v[(i-1) % N] == v[(i+1) % N]
        if s[i] == 'o':
            if v[i] != same:
                ok = False
        else:
            if v[i] == same:
                ok = False

    return v if ok else None


p = [
    [True, True],
    [False, False],
    [True, False],
    [False, True]
]
ans = "-1"
for a, b in p:
    l = check(a, b)
    if l != None:
        ans = "".join(["S" if v else "W" for v in l])
        break
print(ans)
