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()

opposite = {"S": "W",
            "W": "S"}

for ans in ["SS","SW","WS","WW"]:
  for i in range(1,N-1):
    if (ans[i],S[i]) in [("S","o"),("W","x")]:
      ans += ans[i-1]
    elif (ans[i],S[i]) in [("S","x"),("W","o")]:
      ans += opposite[ans[i-1]]
  
  for i in [-1,0]:
    if ans[i] == "S":
      if (S[i] == "o" and ans[i-1] != ans[i+1]) or (S[i] == "x" and ans[i-1] == ans[i+1]):
        break
    else:
      if (S[i] == "o" and ans[i-1] == ans[i+1]) or (S[i] == "x" and ans[i-1] != ans[i+1]):
        break
  else:
    print(ans)
    break
else:
  print(-1)