The Crimson Binome
Hero
If you have a Deadly fight at the beginning of the day, and then six more average fights later in that day, then the PCs dying to some random giant still counts as a win for the Demogorgan. The first fight was Deadly, because it caused the PCs to die in the seventh encounter.So are you saying it's not possible to do a deadly encounter at the beginning of the adventuring day? If you have the PCs fight a deadly encounter at the beginning of the day, with the assumption that they fight several more encounters afterwards, how then is it still a deadly encounter?
If the PCs just stop adventuring for the day, because they've killed the Demogorgan and they have no reason to stick around, then they're playing the game wrong and the game isn't designed to handle that. Their fight was probably not very interesting, either, since they weren't really in any danger.