Question: Let L:= {w {a, b}* | #LEN: w= = (ab)}. Give a Deterministic Finite Automaton (DFA) A that satisfies L(A) = L. Provide a brief

Let L:= {w {a, b}* | #LEN: w= = (ab)"}. Give a Deterministic Finite Automaton (DFA) A that satisfies L(A) = L. Provide a brief explanation of the rationale behind your automaton (a formal correctness proof is not required). [15 marks]
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