The First Errand Murder Case

Conan wins a contest in which he and several other people, are going to a house to take a Sherlock Holmes exam. The prize? A rare copy of Arthur Conan Doyle's first Sherlock Holmes book A Study in Scarlet. Though when on the night of turning in the exam, The headman, Hiroyuki Kanaya of this contest dies. Does it also help for Conan that Heiji came along?