$(3$ points$)$ For this automaton use formula $E_{i,j}^{K+1}=E_{i,j}^k{E}_{i,k+1}^k(E_{k+1,k+1}^k{)}^{**}{E}_{k+1,j}^k,$ the

resulting regular expression $E_{1,2}^2$ will be very long, use a table like this to keep track of

intermediate results:

$(1$ point$)$ Use JFLAP to determine a reg. ex$.$