Given the following two languages:
$L_1 = \{a^n b^n \mid n \geq 0, \: n \neq 100\}$
$L_2 = \{ w \in \{a, b, c\}^* \mid n_a(w) = n_b (w) = n_c(w) \}$
Which of the following options is correct?
- Both $L_1$ and $L_2$ are not context free language
- Both $L_1$ and $L_2$ are context free language
- $L_1$ is context free language, $L_2$ is not context free language
- $L_1$ is not context free language, $L_2$ is context free language