Puzzle Pack #2 Puzzle 37 Answer

Karen is at A3, and her neighbors are A2, B2, B3, A4, and B4. Daniel’s clue says Paula is one of Karen’s 4 innocent neighbors, so Paula must be a neighbor of Karen and must be innocent. Among Karen’s neighbors, Paula is B4, which fits that clue exactly. Therefore, we can determine that B4 is INNOCENT.

Karen is at A3, so her neighbors are A2 Floyd, B2 Helen, B3 Logan, A4 Olof, and B4 Paula. Daniel says Paula is one of Karen's 4 innocent neighbors, so Karen has exactly four innocent neighbors in total. Since Paula is already one of them, exactly one of Karen's other four neighbors is not innocent. Paula’s clue talks about Claire at B1 and Vera at B5, so the people in between them are Helen at B2, Logan at B3, and Paula at B4. Exactly one of those innocents is neighboring Floyd at A2. Paula herself is innocent and she is neighboring Floyd, so she is that one innocent. That means Helen and Logan are not innocent. Among Karen’s four neighbors besides Paula, Helen and Logan are already not innocent, so the only way Karen can still have four innocent neighbors is for Floyd at A2 and Olof at A4 both to be innocent. Therefore, we can determine that A2 Floyd is INNOCENT and A4 Olof is INNOCENT.

Claire is at B1, so the people below Claire are B2, B3, B4, and B5. Olof says an odd number of those four are criminals, and we already know B4, Paula, is innocent, so among B2, B3, and B5 there must still be an odd number of criminals. Daniel says Paula is one of Karen's four innocent neighbors. Karen is at A3, whose neighbors are A2, B2, B3, A4, and B4. Since Paula at B4 is one of Karen's four innocent neighbors, exactly four of those five neighbors are innocent. We already know A2, A4, and B4 are innocent, so exactly one of B2 and B3 is innocent and the other is criminal. That means among B2, B3, and B5, there is already exactly one criminal coming from B2 and B3. To keep the total odd, B5 cannot be criminal, so B5 must be innocent. Therefore, we can determine that B5 is INNOCENT.

Paula is at B4, and the people above her are B1, B2, and B3. Vera says exactly 2 of those 3 people are innocent. Daniel says Paula is one of Karen's 4 innocent neighbors, so Karen at A3 has exactly 4 innocent neighbors; Karen's neighbors are Floyd at A2, Helen at B2, Logan at B3, Olof at A4, and Paula at B4, and since Floyd, Olof, and Paula are already innocent, exactly one of Helen and Logan is innocent. That means among B2 and B3 there is exactly 1 innocent, so to make the total above Paula equal to 2, B1 must be the other innocent. Therefore, we can determine that B1 is INNOCENT.