Kitsutsuki Tantei-Dokoro Temporada 1 Episódio 2

A prostitute from Hananoya, O-Taki, has been killed. When Takuboku says, I saw Kyousuke in O-Takis room, Kyousuke becomes a prime suspect. Meanwhile, based on the fact that Takubokus romaji diary was left in O-Takis room, Kyousuke begins to suspect that Takuboku might have done it. Where does the truth really lie?