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 = list(input())
# S = 1 W = -1
ss = [1,1]
sw = [1,-1]
ws = [-1,1]
ww = [-1,-1]
ans = []
for i in range(1,n):
  flag = 1
  if s[i] == "x":
    flag = -1
  if ss[i] == 1:
    ss.append(flag*ss[i-1])
  else:
    ss.append(flag*-ss[i-1])
  if sw[i] == 1:
    sw.append(flag*sw[i-1])
  else:
    sw.append(flag*-sw[i-1])
  if ws[i] == 1:
    ws.append(flag*ws[i-1])
  else:
    ws.append(flag*-ws[i-1])
  if ww[i] == 1:
    ww.append(flag*ww[i-1])
  else:
    ww.append(flag*-ww[i-1])
flag = 1
if s[0] == "x":
  flag = -1
if ss[0] == ss[-1] and ss[1] == ss[0]*flag*ss[-2]:
  ans = ss
elif sw[0] == sw[-1] and sw[1] == sw[0]*flag*sw[-2]:
  ans = sw
elif ws[0] == ws[-1] and ws[1] == ws[0]*flag*ws[-2]:
  ans = ws
elif ww[0] == ww[-1] and ww[1] == ww[0]*flag*ww[-2]:
  ans = ww
if ans == []:
  print(-1)
else:
  ans = ans[:n]
  ans = ["S" if i == 1 else "W" for i in ans]
  print("".join(ans))