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
rev_ox = {"o":"x", "x":"o"}
rev_sw = {"S":"W", "W":"S"}

def get_next(sw_prev2,sw_prev1,ox_prev1):
        
    sw = sw_prev2
    if sw_prev1 == "W": ox_prev1 = rev_ox[ox_prev1]
    if ox_prev1 == "x": sw = rev_sw[sw]
    
    return sw

n = int(input())
ox = input()

for sw0,sw1 in [("S","S"),("S","W"),("W","S"),("W","W")]:
    ans = ""
    ans = sw0+sw1
    for i,oxi in enumerate(ox[1:]+ox[0],1):
        ans += get_next(ans[i-1],ans[i],oxi)
    
    if ans[0] == ans[-2] and ans[1] == ans[-1]:
        ans = ans[:-2]
        break
else:
    ans = -1

print(ans)