Skygrazer

The temptations of three hormone-fueled boys, space detectives, robots, fairies, and a series of mysterious murders—though seemingly unconnected, the common thread between them is the maze-like apartment complex known as the Skygrazer. To unravel this enigma, a spunky rookie detective named Saeko Sakuraba is on the case, but she may just find all the twists and turns of this labyrinthian dwelling to be a real pain in the neck... (Source: Kodansha USA)