Puzzle Pack #2 Puzzle 34 Answer

Wanda is at B5, so her neighbors are A4, B4, C4, A5, and C5. Vicky’s clue says exactly 4 of Wanda’s neighbors are innocent, and exactly 2 of those innocent neighbors are below Donna. Donna is at C1, so the people below Donna are C2, C3, C4, and C5. Among Wanda’s neighbors, the only ones below Donna are C4 and C5. Since exactly 2 of Wanda’s 4 innocent neighbors are below Donna, those two positions must be the two innocent neighbors below Donna. Therefore, we can determine that C4 is INNOCENT and C5 is INNOCENT.

Vicky’s neighbors are Phil at A4, Salil at B4, and Wanda at B5, and Tina says an odd number of those neighbors are innocent. Since Vicky herself is innocent and Tina is truthful, that number must really be odd. But Vicky also says exactly 2 of the 4 innocents neighboring Wanda are below Donna, so Wanda must have exactly 4 innocent neighbors. Wanda’s neighbors are Phil at A4, Salil at B4, Tina at C4, Vicky at A5, Xavi at C5, and Zoe at D5. Tina, Vicky, and Xavi are already known innocents, so among Wanda’s other three neighbors, exactly one more is innocent to make 4 in total. That means among Vicky’s three neighbors Phil, Salil, and Wanda, there cannot be an odd number of innocents if Wanda were innocent, because then Vicky would have either 2 or 0 innocent neighbors there, both even. Therefore, we can determine that B5 is CRIMINAL.

Above Vicky means the people in column A above A5: Adam at A1, Freya at A2, Kevin at A3, and Phil at A4. Wanda says only one of those four is innocent. Xavi says an odd number of the innocents above Vicky neighbor Linda, and among those four, the ones who neighbor Linda at B3 are only Freya at A2, Kevin at A3, and Phil at A4, while Adam at A1 does not. Since there is exactly one innocent in the whole column above Vicky, the number of innocent neighbors of Linda there can only be 0 or 1, and Xavi says it is odd, so it must be 1. That means the one innocent above Vicky is one of A2, A3, or A4, not Adam at A1. Therefore, we can determine that A1 is CRIMINAL.

Wanda is at B5, so her neighbors are A4 Phil, B4 Salil, C4 Tina, A5 Vicky, and C5 Xavi. Among those five, we already know Tina, Vicky, and Xavi are innocent, so Wanda has exactly 4 innocent neighbors only if both A4 and B4 are also innocent. Adam’s clue says row 4 contains exactly 2 innocents, and since Tina in C4 is already one of them, A4 and B4 cannot both be innocent; so Wanda’s 4 innocent neighbors must be A4, C4, A5, and C5, which means B4 is not innocent. Therefore, we can determine that D4 is CRIMINAL.