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Formal Language & Automata TheoryConstruct an NFA that will accept string of 0's, 1's and 2's beginning with a 0's followed by odd number of 1's and ending with any number of 2's.20217mFORMAL LANGUAGE & AUTOMATA THEORYConstruct an NFA accepting strings over \{0,1,2\} beginning with 0, followed by an odd number of 1s, ending with any number of 2s.20217mFormal Language & Automata TheoryConstruct a DFA that accepts all strings over \{0,1\} containing an even number of 0s and an odd number of 1s. Also, write its formal 5-tuple definition.20257mFORMAL LANGUAGE & AUTOMATA THEORYLet L \subseteq \{0,1,2\}^* be strings without consecutive identical symbols (no 00, no 11, no 22). Design a DFA for L.20227m