One of Nagilum's illusions was the Enterprise's sister ship, the U.S.S. Yamato. Riker and Worf beamed aboard to find a confusing labyrinth of corridors and multiple bridges.'
To get past, one OFFICER- and one SECURITY-classification personnel must beam over (place atop mission with dilemma.) If their total CUNNING>14 return to ship (or hand) at end of turn. Otherwise discard personnel and dilemma.