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PreviousDefinition of a language L with alphabet \{a\} is given as L = \{a^{nk} \mid k > 0, \text{ and } n \text{ is a positive integer constant}\} What is the minimum number of states needed in a DFA to recognize L? (i) k + 1 (ii) n + 1 (iii) 2^{n + 1} (iv) 2^{k + 1}NextA pushdown automata can be represented as \text{PDA} = \epsilon\text{-NFA} + [\text{stack}]. (i) True (ii) False
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