Five people, A, B, C, D and E are sitting in a room. The following information is common knowledge:
Among them are two thieves, two innocent people and one detective. Each of the thieves knows who the other thief is. The detective knows who each of them is. The innocent people have absolutely no information about anyone in the room. The thieves always lie. The detective and the innocents always tell the truth.
A conversation takes place in the following sequence:
- A: I know who B is.
- B: I know who the detective is.
- C: I know who B is.
- D: I know who E is.
Can you tell us who is who?
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