Consider the language \(L = \{a^{n}\mid n \geq 0\} \cup \{a^{n}b^{n}\mid n…

Consider the language \(L = \{a^{n}\mid n \geq 0\} \cup \{a^{n}b^{n}\mid n \geq 0\}\) and the following statements.

I. \(L\) is deterministic context-free.

II. \(L\) is context-free but not deterministic context-free.

III. \(L\) is not \(LL(k)\) for any \(k\).

Which of the above statements is/are TRUE ?