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()
p1=["W","W"]
p2=["W","S"]
p3=["S","W"]
p4=["S","S"]
p=[p1,p2,p3,p4]
for i in range(4):
	for j in range(n-2):
		same=0
		if p[i][j+1]=="S" and s[j+1]=="o"\
		or p[i][j+1]=="W" and s[j+1]=="x":
			same=1
		if same and p[i][j]=="S" or not same and p[i][j]=="W":
			p[i].append("S")
		else:
			p[i].append("W")
	f=0
	same=0
	if p[i][-1]=="S" and s[-1]=="o"\
	or p[i][-1]=="W" and s[-1]=="x":
		same=1
	if same and p[i][-2]=="S" or not same and p[i][-2]=="W":
		if p[i][0]=="S":
			f=1
	else:
		if p[i][0]=="W":
			f=1
	if f==0:
		continue
	f=0
	same=0
	if p[i][0]=="S" and s[0]=="o"\
	or p[i][0]=="W" and s[0]=="x":
		same=1
	if same and p[i][-1]=="S" or not same and p[i][-1]=="W":
		if p[i][1]=="S":
			f=1
	else:
		if p[i][1]=="W":
			f=1
	if f:
		ans=""
		for x in p[i]:
			ans+=x
		print(ans)
		exit()
print(-1)