Question: Tragedy has occurred at the Lovely Estate (shown in Figure, and "James Bomb, the internationally known detective, former notary public, current assistant manager of Chicken Delight, and part-time graph theorist, has been called in to investigate". A woman dressed in red (or was her dress soaked with blood?) was found dead on the floor of the small bedroom with a bloody knife and a lead pipe nearby. James Bomb has secured the perimeter and brought all persons on the grounds into the sitting room for questioning. There are two individuals found leaving the house whom the elder Lovelys do not recognize, so Bomb questions them first.
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The first person says, "I am a door inspector-it's what I do. We have to make sure that the hinges are tight so the doors won't fall on people, the doorknobs are secure so they can't come off in anyone's hand, and the locks work. I've just been through every door in the house exactly once (and had to repair two locks and tighten three doorknob screws) and now everything is in working order."
The second person says, "I am from the cleaning service. I visited each room exactly once to clean it-after all, I would not want to step on any clean floors, nor would I want to get additional dirt on my shoes in going from room to room." James Bomb clears his throat. What is he about to announce? Is it possible that either the first or the second person is telling the truth?