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
def ox_sw(ox,sw,prev):
    if ox =="o":
        if sw == 1:
            ans = prev
        else:
            ans = -1*prev
    elif ox =="x" :
        if sw ==1:
            ans = -1*prev
        else:
            ans = prev
    return ans

n = int(input())
s  = input()
a1 = [1,1]   #1---> sheep -1 ---> WOLF
a2 = [1,-1]
a3 = [-1,1]
a4 = [-1,-1]
f= False

for a in [a1,a2,a3,a4]:
    for i in range(1,n):
        a.append(ox_sw(s[i],a[i],a[i-1]))
    if a[n] == a[0] and a[1] == ox_sw(s[0],a[0],a[-2]):
        f = True
        break

if f:
    ans = []
    for i in range(n):
        if a[i]==1:
            ans.append("S")
        else:
            ans.append("W")
    print("".join(ans))
else:
    print(-1)
