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2 (2) Convert the above DFA M into a regular expression r such that L(M)L(r). First reduce the machine as the TopHat part may suggest,

2 (2) Convert the above DFA M into a regular expression r such that L(M)L(r). First reduce the machine as the TopHat part may suggest, then show the steps of the algorithm. It is AOK to do this one completely "graphically" with certain shortcuts-indeed it is IMHO almost "sight-readable" to begin with. (Hence only 12 pts.)

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