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(map(str, input()))
flg = 0

def f(a, b, c):
	if a == "S" and b == "S" and c == "o":
		return "S"
	elif a == "S" and b == "S" and c == "x":
		return "W"
	elif a == "S" and b == "W" and c == "o":
		return "W"
	elif a == "S" and b == "W" and c == "x":
		return "S"
	elif a == "W" and b == "S" and c == "o":
		return "W"
	elif a == "W" and b == "S" and c == "x":
		return "S"
	elif a == "W" and b == "W" and c == "o":
		return "S"
	else:
		return "W"

for first, second in [("S", "S"), ("S", "W"), ("W", "S"), ("W", "W"), ]:
	ans = [None] * N
	ans[0], ans[1] = first, second
	
	for i in range(1, N - 1):
		ans[i + 1] = f(ans[i - 1], ans[i], S[i])
		
	if f(ans[-2], ans[-1], S[-1]) == ans[0] and f(ans[-1], ans[0], S[0]) == ans[1]:
		flg = 1
		break
		
if flg:
	for a in ans:
		print(a, end = "")
else:
	print(-1)