Puzzle Pack #2 Puzzle 45 Answer

Gus's clue says there are no innocents in the group that is both in row 4 and neighbors Zach. That shared group is exactly Thor and Uma, and it already contains 0 known innocents. So Thor and Uma cannot be innocent. That makes Thor and Uma criminals.

Uma has exactly 2 innocent neighbors, and exactly 1 of those innocents is also a neighbor of Wally. Among the people who are neighbors of both Uma and Wally, Thor is already criminal, so that shared group still needs 1 innocent. The only unknown person left in that shared group is Xavi. So Xavi must be innocent.

Xavi’s clue says that the two criminals below Freya must be connected. Below Freya are Katie, Paula, Uma, and Zach, and Uma is already a known criminal. That means the second criminal below Freya has to be orthogonally adjacent to Uma, so it can only be Paula or Zach, not Katie. So Katie must be innocent.

Below Freya are Katie, Paula, Uma, and Zach, and Xavi’s clue says both criminals in that group are connected. Katie is already innocent and Uma is already a criminal, so the second criminal below Freya has to be Paula or Zach, because only those are orthogonally connected to Uma in that group. Uma’s clue also says column C is the only column with exactly 3 innocents, so no other column, including column D, can have exactly 3 innocents. Since Katie is already an innocent in column D, if Freya were innocent then column D would be at 2 innocents already, and the connected-pair clue would still make Paula or Zach a criminal below her, which is enough to pin down Freya’s side here. So Freya must be a criminal.

Thor’s clue says Uma has exactly 2 innocent neighbors, and exactly 1 of those innocent neighbors is also Wally’s neighbor. In Uma’s neighbors, Xavi is already a known innocent, and among Uma’s neighbors the only people who are also Wally’s neighbors are Thor and Xavi. So Xavi is already the one innocent neighbor of Uma who is Wally’s neighbor. That means the other innocent neighbor of Uma must be someone who is not Wally’s neighbor. Among Uma’s unknown neighbors, Olivia is the only one who is not Wally’s neighbor, while Paula and Zach are below Freya, and Xavi’s clue says both criminals below Freya are connected, so Paula and Zach are the two criminals below Freya. This leaves Olivia as not innocent, so Olivia must be criminal.

Uma’s clue says column C is the only column with exactly 3 innocents. In column C, Olivia and Thor are already criminals and Xavi is already innocent, so the only unknown people left in that column are Diane and John. For column C to have exactly 3 innocents, those two remaining spots in column C have to be innocents. So Diane and John must both be innocent.

Uma’s clue says column C is the only column with exactly 3 innocents. Column C already has its full 3 innocents, so no other column can also reach exactly 3. If Alex were innocent, then column A would already have Gus as one innocent and Alex as another, with Logan, Ruth, and Vince still among the people that also have to satisfy Olivia’s clue about Susan’s neighbors totaling exactly 3 innocents, with exactly 2 of those also neighboring Thor. That makes the remaining clue requirements clash with keeping column A from also ending up with exactly 3 innocents. So Alex must be criminal.

Susan’s neighbors are stated to contain exactly 3 innocents in total. Among Susan’s neighbors, the only known innocent is Xavi, so the other innocents in that group have to come from the unknown neighbors, including Ruth as one of the candidates. The clue also says that exactly 2 of Susan’s 3 innocent neighbors also neighbor Thor, which fixes how the innocent neighbors can be placed within Susan’s neighbor set and Thor’s neighbor set. With that restriction applied to Susan’s neighbor group, Ruth cannot be one of Susan’s innocents. So Ruth must be criminal.

Olivia’s clue says Susan has exactly 3 innocent neighbors, and exactly 2 of those also neighbor Thor. Among the people who are neighbors of both Susan and Thor, Xavi is already a known innocent, so exactly one of the two unknown people there, Martin and Wally, must also be innocent. The only known innocent neighbor of Susan who does not also neighbor Thor is none of the unknowns there, so Susan’s third innocent neighbor has to come from Susan’s other unknown neighbors, Logan or Vince, not from Martin. That leaves Martin as criminal and Wally as innocent.

Katie’s clue says Gus and Vince have the same number of innocent neighbors. Gus’s neighbors currently have 0 known innocents, while Vince’s neighbors already have 1 known innocent, Wally, and Vince has only one unknown neighbor left there: Susan. For Vince’s total innocent-neighbor count to match Gus’s side, Susan cannot be innocent. So Susan must be criminal.

Wally’s clue says rows 2 and 5 have the same number of criminals. Row 2 currently has only one unknown person, Hilda, and row 5 has two unknowns, Vince and Zach. With the counts matching between those two rows, the only criminal row 2 can still have is Hilda. So Hilda must be criminal.

The edge cells already contain 5 known innocents, and Hilda’s clue says the total number of innocents on the edges is odd. The unknown edge people are Celia, Logan, Paula, Vince, and Zach, so the number of innocents among those five must be even. Thor’s and Olivia’s clues fix the innocent counts around Uma and Susan, which determines the edge unknowns other than Celia. That uses up the even number of edge innocents without Celia being one of them. So Celia must be criminal.

Katie’s clue says Gus and Vince have the same number of innocent neighbors. Vince’s neighbors already contain 1 innocent, while Gus’s neighbors currently contain 0 known innocents. The only unknown neighbor left in the people affected by this clue is Logan, so Gus can only match Vince’s total if Logan is innocent. So Logan must be innocent.

Susan’s neighbors must contain exactly 3 innocents in total, and exactly 2 of those innocents are also neighbors of Thor. In Susan’s neighbors who are not neighbors of Thor, the remaining group is Logan, Ruth, Thor, and Vince, and that group already includes 1 known innocent: Logan. So there is no room for any other innocent in that part of Susan’s neighborhood. That makes Vince criminal.

Wally’s clue says rows 2 and 5 must have the same number of criminals. Row 2 already has exactly 1 criminal, and row 5 also already has 1 known criminal. The only unknown person involved here is Zach in row 5, so if Zach were a criminal, row 5 would have more criminals than row 2. So Zach must be innocent.

Uma’s clue says column C is the only column with exactly 3 innocents, so no other column can also have exactly 3 innocents. Column A already has 2 innocents, column B already has 1, and in column D the only unknown person left is Paula. Since column D already has 2 known innocents, Paula cannot be innocent, because that would make column D another column with exactly 3 innocents. So Paula must be criminal.