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The Doctor woke up with a hangover, stumbled downstairs, read what was left of the Master's note in the lobby, and knew exactly what it about. He slipped his own note under Rose's door. Then went in the dining hall to nurse a pot of tea. And to sit their determinately until the Master showed up.
He was going to be waiting for a while. It was far too early and he knew that. He didn't want to move, with his headache. He also didn't want to miss the Master somehow.