Let $L=\{a^nb^nc^n | n\geq 0\}$ , then $\overline{L}$ is context free

Question

I need help with this problem. I proved that $L$ is not context free (using Ogden's lemma), but I can't prove that $\overline{L}$ is context free. I'm thinking about a proof by cases (if $\#(a)=\#(b) \neq \#(c)$ or something else) but the proof could be so extensive.