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Let L be the language of strings over {a,b,c} in which the number of a's, b's, and c's are either all even, or precisely one

Let L be the language of strings over {a,b,c} in which the number of a's, b's, and c's are either all even, or precisely one of them is even. We need to find a DFA for at most 4 states with transition states.

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