### Problem Statement

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 si. Here, if si is `o`, the animal said that the two neighboring animals are of the same species, and if si 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 ≤ 105
• 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 ti is `S`, it indicates that the animal numbered i is a sheep. If ti is `W`, it indicates that the animal numbered i is a wolf.

```6
ooxoox
```

### Sample Output 1

```SSSWWS
```

For example, if the animals numbered 1, 2, 3, 4, 5 and 6 are respectively a sheep, sheep, sheep, wolf, wolf, and sheep, it is consistent with their responses. Besides, there is another valid assignment of species: a wolf, sheep, wolf, sheep, wolf and wolf.

Let us remind you: if the neiboring animals are of the same species, a sheep answers `o` and a wolf answers `x`. If the neiboring animals are of different species, a sheep answers `x` and a wolf answers `o`. ```3
oox
```

### Sample Output 2

```-1
```

Print `-1` if there is no valid assignment of species.

```10
oxooxoxoox
```

### Sample Output 3

```SSWWSSSWWS
```