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Consider the language $L = \{a^nb^nc^m\}U \{a^nb^mc^m\}$ with $n$ and $m$ nonnegative. Which of the following options is correct?

  1. There is no context free grammar possible for $L$.
  2. There exists a simple grammar for $L$.
  3. There exists an unambiguous grammar for $L$.
  4. There exists an ambiguous grammar for $L$.
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