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
def another(t):
    if t == "W":
        return "S"
    else:
        return "W"


def ok(t1, t2, t3, op):
    if (op == "o" and t2 == "S") or (op == "x" and t2 == "W"):
        return t1 == t3
    else:
        return t1 != t3

def check(ans):
    for i in range(n - 2):
        c = s[i]
        t = ans[i]
        if (c == "o" and t == "S") or (c == "x" and t == "W"):
            ans[i + 1] = ans[i - 1]
        else:
            ans[i + 1] = another(ans[i - 1])
    t1, t2, t3, t4 = ans[-3], ans[-2], ans[-1], ans[0]
    return ok(t1, t2, t3, s[-2]) and ok(t2, t3, t4, s[-1])

n = int(input())
s = input()

for head, tail in (("S", "S"), ("S", "W"), ("W", "S"), ("W", "W")):
    ans = [""] * n
    ans[0] = head
    ans[-1] = tail
    if check(ans):
        print(*ans, sep="")
        break
else:
    print(-1)
