3. (6 pts) Suppose that usernames must start with between 1 and 3 letters, followed by between O and 2 digits, and must end with the special character #. Thus CA3# and RRS# are valid usernames, but 34# and SMITH4# are not. You are the system administrator and must construct a routine for verifying that newly proposed usernames meet the requirements. Formally define a deterministic FSM that accepts the set of strings that are acceptable usernames. You must declare the 5-tupple, define each member of the 5 tupple (for the transition function list a transition table) and draw the FSM