Consider the game Dethy Mafia. The full rules can be found here, but this is all you need to know to solve this puzzle:
Each of the five roles "Sane Cop", "Insane Cop", "Paranoid Cop", "Naïve Cop", and "Mafia Goon" are given randomly to one of the five players. All players are told whether they're a cop or the Mafia Goon, but not their sanities. On the first night, the Mafia Goon does nothing, and each of the cops secretly chooses another player to investigate. The Sane Cop always gets the right answer, the Insane Cop always gets the wrong answer, the Paranoid Cop always gets a guilty result, and the Naïve Cop always gets an innocent result. In the morning, the players all share and discuss their results and try to deduce who's secretly the Mafia Goon (who, not having a real result, will have made up a fake one).
The puzzle: Alice, Bob, Carol, Dave, and Eve are all playing a game of Dethy Mafia. The roles were distributed as follows:
- Alice - Naïve Cop
- Bob - Insane Cop
- Carol - Paranoid Cop
- Dave - Sane Cop
- Eve - Mafia Goon
Unfortunately for Eve, based on only the investigative results from the first night, the other players were all able to deduce for certain that she was the Mafia Goon on the first day. Can you come up with a set of investigative choices and results that would have led to this happening?