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Formal Language & Automata TheoryThe construction time for DFA from an equivalent NFA (m number of node) is (i) O(m^2) (ii) O(2^m) (iii) O(m) (iv) O(\log m)20212mFORMAL LANGUAGE & AUTOMATA THEORYFor an NFA with n states, the minimized DFA has: (i) m \le 2^n (ii) n \le m (iii) one accept state (iv) m = 2^n20212mFormal Language & Automata TheoryThe maximum number of states of a DFA converted from an NFA with n states is (i) n (ii) n^2 (iii) 2^n (iv) None of the above20212mFormal Language & Automata TheoryLet N be an NFA with n states and let M be the minimized DFA with m states recognizing the same language. Which of the following is necessarily true? (i) m \le 2^n (ii) n \le m (iii) M has one accept state (iv) m = 2n20192m