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a) Let Σ = {0, 1, 2}, and let L be the language over Σ that contains each string w ending with some symbol that does not occur anywhere else in w. For example, 011012, 20021, 11120, 0002, 10, and 1 are all strings in L. Construct a nondeterministic finite-state machine that accepts L.

b) Convert the nondeterministic finite-state machine of part (a) to a deterministic finite-state machine by the method of Section 4.2.

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