The exposition is the description of the king and the trial system.
The conflict is man vs. himself. This internal conflict refers to the decision the princess character must make regarding her beloved. By figuring out what's behind each door, she must choose between leaving her lover with someone else, or having him killed.
The Rising Action is every event leading up to the fateful opening of the door. The king builds an arena,where the accused will either be eaten by a tiger or marry a maiden, depending on which door he chooses.
Live for the Lady!
The climax of the story comes when the young lover in the arena goes to the door indicated by the princess and opens it.
The falling action of the story is the point at which the princess waves her hand to the right after some careful thinking of the results, and the story ends.
See my arm? Go to the right.
There is no resolution, the ending is unknown, meaning you choose what you think happened at the end.