I'm trying to use pumping lemma to prove that $L = \{(01)^m 2^m \}$ is not regular.
This is what I have so far: Assume $L$ is regular and let $p$ be the pumping length, so $w = (01)^p 2^p$. Consider any pumping decomposition $w = xyz$; $|y| > p$ and $|xy| \leq p$.
I'm not sure what to do next.
Am I on the right track? Or am I way off?
Thank you in advance.