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Germany took an early lead on a powerplay goal by Leonhard Pfoderl after Switzerland's Cody Almond received a five-minute major penalty and one-period suspension for a check to the head.
Switzerland levelled at 1-1 a period later on a goal by Simon Moser and that was how it remained through regulation time.
The Germans will play top-seeded Sweden in the last eight on Wednesday with Switzerland eliminated from the tournament.