A fat man is leading a group of people out of a cave on the coast; he gets stuck in the mouth of the cave.  High tide is approaching and unless the fat man is unstuck, everyone inside the cave will drown except for the fat man because his head is outside of the cave.  Unfortunately or fortunately, someone is carrying a stick of dynamite with them.  They have tried every way possible to get the fat man loose, and they come to the realization that the only way to get him loose is to use the stick of dynamite which will definitely kill him.  If they do not use this stick of dynamite, the entire group, except for the fat man, will drown in the cave.  What should they do in this dilemma?  This issue becomes more acute is a pregnant women is substituted for the fat man.  Does this change what should be done?