The engineer wakes up and smells smoke. He goes out into the hallway and sees a fire, so he fills a trashcan from his room with water and douses the fire. He goes back to bed. Later, the physicist wakes up and smells smoke. He opens his door and sees a fire in the hall, for it has reignited. He finds a fire hose, and, after calculating velocity, distance, water pressure, trajectory, etc., he extinguishes the fire with the minimum amount of water and energy needed. Satisfied, he goes to bed. Even later, the mathematician wakes up to the smell of smoke. He goes into the hall and sees the fire and hose. He thinks for a moment, then exclaims, "Ah! A solution exists!", and then goes back to bed.
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