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Adverb: contrarily  ,kun'treh-ru-lee or kón-tru-ru-lee
  1. Contrary to expectations
    "He acted contrarily to what we predicted";
    - to the contrary, contrariwise, on the contrary, au contraire
     
  2. In a contrary disobedient manner
    "She contrarily disagreed with everything";
    - perversely, contrariwise

Encyclopedia: Contrarily