3. [20 Points] For each of the following languages over -{a, b), design a DFA (a) Li- fw: w E*, where w does not have bbb as a substring). (b) L2 (w : ue ., where na(w) mod 3 0 and w begins with ab). (c) Ls-wv: v,we', and ll-2) (d) L-[a"b": mn > 4)