Consider the following DFA, M $.$

$($a$)$ What is L$($M $)?$

$($b$)$ What is the pumping length, p$,$ for this language?

$($c$)$ Find a string s in L$($M $)$ such that $|$s$|>=$ p$.$ What is the computa$-$

tion path for s in M $?$

$($d$)$ Find x$,$ y$,$ and z for the string s you found above, where x$,$ y$,$ and

z satisfy the conditions of the pumping lemma. Use the method

discussed in the video.

$($e$)$ Using the pumping lemma, find another string in L$($M $)$ based on

your values of x$,$ y$,$ and z$.$