1. Identify which automata define the same language and provide the correct counterexample if they dor't. Choose the correct statement from the list below. a) (a) and (f) define the same language. b) (c) and (f) define the same language. c) (c) and (d) do not define the same language and the following counterexample shows it. String 0012 is accepted by one and not by the other. d) (c) and (b) do not define the same language and the following: counterexansple shows it. String 0012 is accepted by one and not by the other. 2. Examine the following DFA: Identify in the fist belon the string that this automaton accepts. a) 160 b) 10000 c) c d) 1011