{"raw_statement":[{"iden":"problem statement","content":"Snuke, who loves animals, built a zoo.\nThere 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 $1$.\nThere are two kinds of animals in this zoo: honest sheep that only speak the truth, and lying wolves that only tell lies.\nSnuke 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.\nMore 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.\nSnuke 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`."},{"iden":"constraints","content":"*   $3 ≤ N ≤ 10^{5}$\n*   $s$ is a string of length $N$ consisting of `o` and `x`."},{"iden":"input","content":"The input is given from Standard Input in the following format:\n\n$N$\n$s$"},{"iden":"sample input 1","content":"6\nooxoox"},{"iden":"sample output 1","content":"SSSWWS\n\nFor 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.\nLet 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`.\n\n![image](https://atcoder.jp/img/arc069/b34c052fc21c42d2def9b98d6dccd05c.png)"},{"iden":"sample input 2","content":"3\noox"},{"iden":"sample output 2","content":"\\-1\n\nPrint `-1` if there is no valid assignment of species."},{"iden":"sample input 3","content":"10\noxooxoxoox"},{"iden":"sample output 3","content":"SSWWSSSWWS"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}