Puzzle Pack #2 Puzzle 37 Answer

Daniel’s clue says that Paula is one of Karen’s four innocent neighbors. That directly tells us Paula is innocent. So Paula must be innocent.

Claire and Vera have exactly 1 innocent between them who is also a neighbor of Floyd, and that shared group is just Helen and Logan. Karen’s neighbors must contain exactly 4 innocents, and those neighbors are Floyd, Helen, Logan, Olof, and Paula, with Paula already known to be innocent. So among Karen’s neighbors, Helen and Logan contribute exactly 1 innocent, Paula is the second, and the only remaining unknown neighbors outside that smaller shared group are Floyd and Olof. Those two must provide the other 2 innocents, so Floyd and Olof must be innocent.

Karen’s neighbors must contain exactly four innocents, and among those neighbors Floyd, Olof, and Paula are already innocent. That leaves Helen and Logan as the only two unknown neighbors who can complete Karen’s total of four innocent neighbors. Below Claire, there must be an odd number of criminals, and the only unknown people there are Helen, Logan, and Vera. If Vera were criminal, then Helen and Logan would still have to satisfy Karen’s neighbor clue at the same time, and that combination does not fit both clues together. So Vera cannot be criminal. That makes Vera innocent.

Karen’s clue means her still-unknown neighbors, Helen and Logan, contain exactly 1 innocent. Paula’s clue means the three people above Paula, Claire, Helen, and Logan, contain exactly 2 innocents. Since Helen and Logan already account for exactly 1 of those 2 innocents, the only remaining person in that group, Claire, has to provide the other one. So Claire must be innocent.