Find recognize of deterministic finite automaton (dfa)

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Let k ≥ 2. Let L be the set of strings in {0,1}* such that x ε L if and only if the number of 0's in x is divisible by k and the number of 1's in x is odd. The minimum number of states in a deterministic finite automaton (DFA) that recognizes L is

A. k + 2
B. 2k
C. klogk
D. k2
E. 2k

Reference no: EM131093538

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