Playing his first tournament of the year following his deportation from Australia, Djokovic had looked impressive in his first two matches.
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The two-time champion took less than two hours to get past his Czech opponent 6-3 6-3 6-4, setting up a quarter-final showdown with either Juan Martin del Potro or Gilles Simon.
The 17-times grand slam winner hasn’t progressed past the fourth round since 2012 and was sent crashing out by a 19-year-old Nick Kyrgios four years ago.