With three points, Swiss head coach Ralph Krueger's team have every chance of reaching the quarterfinals for the third consecutive time.
Earlier, Slovenia rallied from three goals down to edge Denmark 4-3 and Austria came back from a two-goal deficit to tie Germany 2-2 in the relegation-round openers.
All four relegation-round teams went 0-3 in the first round.
The two top teams in the relegation round will stay in the championship next year, the last two are demoted.
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