Puzzle Pack #2 Puzzle 47 Answer

Uma’s clue says that Freya is one of Bonnie’s two criminal neighbors. That directly identifies Freya as a criminal. So Freya must be criminal.

Freya’s clue says that Gary is one of Nick’s exactly 6 criminal neighbors. That directly identifies Gary as a criminal. So Gary must be criminal.

Uma's clue says Freya is one of Bonnie's exactly 2 criminal neighbors. Bonnie's neighbors here are Chase, Freya, and Gary, and Freya and Gary are already the 2 known criminals among them. That only leaves Chase as the remaining neighbor, so Chase must be innocent.

Gary’s clue directly says that Scott is one of Vince’s three criminal neighbors. Since Scott is explicitly included among those criminal neighbors, Scott must be criminal.

Vince has exactly 3 criminal neighbors, and Scott is one of them. In Vince's neighborhood, Scott is already the only known criminal, Uma is innocent, and the only other unknown neighbors are Paula, Rose, and Will. So the remaining two criminal spots among Vince's neighbors must come from Paula, Rose, and Will, and this step identifies Will as one of them. That makes Will criminal.

Nick has exactly 6 criminal neighbors, and two of them are already known: Gary and Scott. So among Nick's six unknown neighbors, four more must be criminals, which means only two of those six can be innocent. Maria has exactly 2 innocent neighbors in total. Of the people who are both Maria's neighbors and Nick's neighbors, Gary and Scott are already criminal, leaving only Hal and Rose as possible innocents in that shared group. So Maria's 2 innocents cannot both come from the people she shares with Nick; at least one of Maria's innocents must be from her neighbors who are not Nick-neighbors. That means among Nick's six unknown neighbors, the people who can be Maria's innocents are limited enough that Hal cannot be one of Maria's 2 innocents. So Hal must be criminal.

Bonnie has exactly 2 criminal neighbors, so Will’s clue means Paula must also have exactly 2 criminal neighbors. Among Paula’s neighbors, Uma is already innocent, so the 2 criminals have to come from Laura, Maria, Rose, and Vince. Scott’s clue says he has exactly 4 innocent neighbors, and only 1 of those innocents is also Hal’s neighbor. Among the people who are both Scott’s neighbors and Hal’s neighbors, only Maria, Nick, and Olof are listed, so exactly 3 of Scott’s innocent neighbors must come from the others in Scott’s neighborhood. With Maria sitting in both Paula’s neighborhood and Scott’s neighborhood, she cannot be used to satisfy Paula’s needed criminal count and also be one of Scott’s required innocents at the same time. This leaves Maria as criminal.

Bonnie has exactly 2 criminal neighbors, and Will says Paula has the same number of criminal neighbors as Bonnie. Paula already has 1 known criminal neighbor, so among Laura, Rose, and Vince, exactly 1 must be criminal and the other 2 must be innocent. Scott says he has exactly 4 innocent neighbors, and exactly 1 of those innocents is also Hal's neighbor. In Scott's neighbor list, the only people who are Hal's neighbors are Nick and Olof, so Rose, Tina, Vince, and Xia are all Scott-neighbors who are not Hal-neighbors. Since 3 of Scott's 4 innocent neighbors must be people who are not Hal's neighbors, Vince has to be one of those innocents. So Vince must be innocent.

Olof’s neighbors and Uma’s neighbors must contain the same number of innocents, but Olof’s neighbors currently have 0 known innocents while Uma’s neighbors already have 1 known innocent. So the unknown people in Uma’s neighborhood cannot add another innocent there. Since Paula is one of those unknown neighbors of Uma, Paula cannot be innocent. That makes Paula criminal.

Maria has exactly 2 innocent neighbors, and the clue says only 1 of those 2 is also a neighbor of Uma. Among Uma's neighbors, Vince is already an innocent and is not a neighbor of Maria, so the one innocent neighbor of Maria who is also Uma's neighbor must come from the shared pair Paula and Rose. Paula is already a criminal, so Rose is the only person there who can fill that role. So Rose must be innocent.

Will’s clue says Paula and Bonnie must have the same number of criminal neighbors. Bonnie’s neighbors already contain 2 criminals, while Paula’s neighbors currently contain only 1 known criminal. The only unknown neighbor left on Paula’s side is Laura, so she has to supply that missing criminal. So Laura must be criminal.

Maria’s clue says her neighbors contain exactly 2 innocents, and exactly 1 of those innocents is also Uma’s neighbor. Among Maria’s neighbors, Rose is already an innocent, and among Uma’s neighbors who also neighbor Maria, the only innocent there is Rose, while Vince is an innocent neighbor of Uma who is not Maria’s neighbor. So Rose already accounts for the one innocent in Maria’s neighborhood who is also Uma’s neighbor, which means Maria’s other innocent neighbor must be the only unknown in her neighborhood, Nick. Freya’s clue says Nick has exactly 6 criminal neighbors. Nick already has 4 known criminal neighbors, and Rose is a known innocent neighbor, so the three unknown neighbors Isaac, Olof, and Tina must supply the remaining 2 criminals. Since Nick himself is innocent, Scott’s clue about having exactly 4 innocent neighbors then needs three innocents besides the already known Rose, Vince, and Nick, leaving Olof among Scott’s neighbors not as an innocent but as a criminal. So Olof must be criminal, and Nick must be innocent.

Scott's clue fixes the two unknown neighbors of Scott, Tina and Xia, so that exactly one of them is innocent. That means the edge people who are not Hal's neighbors already account for all 3 innocents allowed there: Uma and Vince are already innocent, and exactly one of Tina or Xia is the third. Bonnie is the only still-unknown person left in that larger edge group outside that smaller Scott-neighbor group, so Bonnie cannot be innocent. So Bonnie must be criminal.

Among the still-unknown edge people who are neighbors of Hal, C1 Diane, D1 Eli, and D2 Isaac contain exactly 1 criminal. But in that group, the only people who can still be that criminal are Diane or Isaac. So Eli cannot be the criminal person there, and Eli must be innocent.

Freya's clue says Nick has exactly 6 criminal neighbors. Nick's neighbors already include 5 known criminals, and the only unknown neighbors there are Isaac and Tina, so exactly one of Isaac and Tina must be criminal. Rose's clue says there are exactly 6 innocents on the edge, with exactly 3 of those neighboring Hal and 3 not neighboring Hal. On the edge, the people neighboring Hal already have 2 known innocents, so among Diane and Isaac exactly one must be innocent. The edge people not neighboring Hal also already have 2 known innocents, so among Tina and Xia exactly one must be innocent. These conditions fit together only if Isaac is the innocent one among Diane and Isaac, and Xia is the innocent one among Tina and Xia, which makes Diane and Tina the criminals. So Xia must be innocent, Diane must be criminal, Tina must be criminal, and Isaac must be innocent.