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 = [c == 'o' for c in input()]
def next_s(s, flag):
  d = {'S' : 'W', 'W' : 'S'}
  if flag:
    return s
  else:
    return d[s]

def sim(s0):
  ans = ['.' for _ in range(n+1)]
  ans[0] = s0[0]
  ans[1] = s0[1]
  for i in range(2, n+1):
    if ans[i-1] == 'S':
      ans[i] = next_s(ans[i-2], s[i-1])
    else:
      ans[i] = next_s(ans[i-2], not s[i-1])
  res = ans[1] == ans[-2]
  if s0[0] == 'S':
    if res == s[0] and ans[-1] == ans[0]:
      return ans[:-1]
  else:
    if res != s[0] and ans[-1] == ans[0]:
      return ans[:-1]
  return False

def solve():
  for item in ["SS", "SW", "WS", "WW"]:
    ans = sim(item)
    if ans:
      return print(''.join(ans))
  return print(-1)

solve()
