in Theory of Computation
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Consider the language $L = \{a^{n}\mid n \geq 0\} \cup \{a^{n}b^{n}\mid n \geq 0\}$ and the following statements.

  1. $L$ is deterministic context-free.
  2. $L$ is context-free but not deterministic context-free.
  3. $L$ is not $LL(k)$ for any $k$.

 Which of the above statements is/are TRUE?

  1. Ⅰ only
  2. Ⅱ only 
  3. Ⅰ and Ⅲ only
  4. Ⅲ only
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