{"problem":{"name":"Menagerie","description":{"content":"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","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"arc069_b"},"statements":[{"statement_type":"Markdown","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`.\n\n## Constraints\n\n*   $3 ≤ N ≤ 10^{5}$\n*   $s$ is a string of length $N$ consisting of `o` and `x`.\n\n## Input\n\nThe input is given from Standard Input in the following format:\n\n$N$\n$s$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"arc069_b","tags":[],"sample_group":[["6\nooxoox","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)"],["3\noox","\\-1\n\nPrint `-1` if there is no valid assignment of species."],["10\noxooxoxoox","SSWWSSSWWS"]],"created_at":"2026-03-03 11:01:14"}}