Question: Please provide a non-deterministic FSM that accepts L = {w {a, b}* | there are no more than two (but there can be exactly two)

Please provide a non-deterministic FSM that accepts

L = {w {a, b}* | there are no more than two (but there can be exactly two) as in a row and the number of bs is even}. Thus aabb is in, but baaaab and aba are not. Prove that your machine accepts exactly the language L.

Now convert the non-deterministic machine to a deterministic one. Show your work. Begin by showing the value of the epsilon closure) for each state q. Please provide pictures for both the non-deterministic and deterministic (complete) machines.

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