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The Hearthstone team has posted a short notice on the official site letting players know that, at least as of this writing, several thousand accounts have been banned for utilizing third party programs, or "bots", to play the game. These accounts are banned until 2015.
As we’ve stated, fair play is at the core of the Hearthstone experience, and cheating and botting will not be tolerated.
If you believe that you’ve encountered a possible bot or other form of exploitation, please let us know by emailing our Hacks team at firstname.lastname@example.org.
Source: Hearthstone official site