p03798 AtCoder Beginner Contest 055 - Menagerie
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
```python
N = int(input())
s = input()
for t in ["SS","SW","WS","WW"]:
    for i in range(1,N-1):
        if (s[i] =="o" and t[i]=="S") or (s[i]=="x" and t[i]=="W"):
            t += t[i-1]
        else:
            if t[i-1] =="S":
              t += "W"
            else:
              t +="S"
    if (t[N-2]==t[0] and ((s[N-1]=="o" and t[N-1]=="S") or (s[N-1]=="x" and t[N-1]=="W"))) or (t[N-2]!=t[0] and ((s[N-1]=="o" and t[N-1]=="W") or (s[N-1]=="x" and t[N-1]=="S"))):
         if (t[N-1]==t[1] and ((s[0]=="o" and t[0]=="S") or (s[0]=="x" and t[0]=="W"))) or (t[N-1]!=t[1] and ((s[0]=="o" and t[0]=="W") or (s[0]=="x" and t[0]=="S"))):
             print(t)
             break
else:
    print(-1)
```