(a) [15 points] Using the method describe in class, construct the DFA corresponding to the following NFA M: M = ( {p, q, r, s}, {0, i), , p, {q, s) where is given by: P q,s q T , Show all relevant steps (b) [15 points] Using the method describe in class, convert the DFA in (a) to a regular expression. Show all relevant steps