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()

def check(s, i, j, k):
    if j and s == "o" and i != k:
        return True
    elif j and s == "x" and i == k:
        return True
    elif not j and s == "o" and i == k:
        return True
    elif not j and s == "x" and i != k:
        return True
    return False

def func(f, s):
    l = [-1]*N
    l[0] = f
    l[1] = s
    for i in range(1, len(l) - 1):
        if l[i] and S[i] == "o" or not l[i] and S[i] == "x":
            l[i + 1] = l[i - 1] ^ 1
        else:
            l[i + 1] = l[i - 1]
    if check(S[-1], l[-2], l[-1], l[0]):
        if check(S[0], l[-1], l[0], l[1]):
            return l
    return False

for i, j in [(0, 0), (0, 1), (1, 1), (1, 0)]:
    l = func(i, j)
    if l:
        for v in l:
            print("SW"[v], end="")
        print()
        exit()
print(-1)