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(raw_input())
s = raw_input()
assert(3 <= N <= 1e5)
assert(len(s) == N)

res = []
sheep = 'S'
wolf = 'W'
container = [val for val in s]
o = 'o'
x = 'x'
passed = False
res0 = [sheep, sheep]
res1 = [sheep, wolf]
res2 = [wolf, sheep]
res3 = [wolf, wolf]
RES = [res0, res1, res2, res3]
for res in RES:
    passed1 = False
    passed2 = False
    for i in xrange(1, len(container) - 1):
        val = container[i]
        if res[i] == sheep:
            if val == o:
                res.append(res[i - 1])
            else:
                if res[i - 1] == sheep:
                    res.append(wolf)
                else:
                    res.append(sheep)
        else:# wolf
            if val == o:
                if res[i - 1] == sheep:
                    res.append(wolf)
                else:
                    res.append(sheep)
            else:
                res.append(res[i - 1])
    if (res[0] == sheep):
        if (container[0] == o) and (res[-1] == res[1]):
            passed1 = True
        elif (container[0] == x) and (not (res[-1] == res[1])):
            passed1 = True
    else:
        if (container[0] == o) and (not (res[-1] == res[1])):
            passed1 = True
        elif (container[0] == x) and (res[-1] == res[1]):
            passed1 = True

    if (res[-1] == sheep):
        if (container[-1] == o) and (res[-2] == res[0]):
            passed2 = True
        elif (container[-1] == x) and (not (res[-2] == res[0])):
            passed2 = True
    else:
        if (container[-1] == o) and (not (res[-2] == res[0])):
            passed2 = True
        elif (container[-1] == x) and (res[-2] == res[0]):
            passed2 = True
    if passed1 and passed2:
        passed = True
        break

if passed:
    print ''.join(res)
else:
    print -1