2. Write a BNF grammar for University of Auckland logins (or UPIs) e.g. abcd025. There must be at least 2 letters in the first part up to a maximum of 4 letters and the number part consists of exactly 3 digits. Only use the letters a, b, c and d, but do use all 10 digits. [3 marks] a) Using your grammar draw the parse tree for ab025. [1 mark] 2. Write a BNF grammar for University of Auckland logins (or UPIs) e.g. abcd025. There must be at least 2 letters in the first part up to a maximum of 4 letters and the number part consists of exactly 3 digits. Only use the letters a, b, c and d, but do use all 10 digits. [3 marks] a) Using your grammar draw the parse tree for ab025. [1 mark]