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()

for bit in range(4):
    animal = [-1] * N
    animal[0] = bit % 2
    animal[1] = bit // 2
    for i in range(1, N-1):
        if (animal[i] == 0) ^ (s[i] == 'o'):
            animal[i+1] = 1 - animal[i-1]
        else:
            animal[i+1] = animal[i-1]
    ok = True
    if animal[-1] == 0:
        if (s[-1] == 'o') ^ (animal[-2] == animal[0]):
            ok = False
    if animal[-1] == 1:
        if (s[-1] == 'o') ^ (animal[-2] != animal[0]):
            ok = False
    if animal[0] == 0:
        if (s[0] == 'o') ^ (animal[-1] == animal[1]):
            ok = False
    if animal[0] == 1:
        if (s[0] == 'o') ^ (animal[-1] != animal[1]):
            ok = False
    if ok:
        ans = ''
        for i in range(N):
            ans += 'S' if animal[i] == 0 else 'W'
        print(ans)
        exit()
print(-1)
