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GATE 2025 · CS2 - Afternoon
Theory of ComputationFinite Automata: Regular LanguageshardNAT2 marks
Let Σ = {1,2,3,4}. For x in Σ*, let prod(x) be the product of symbols in x modulo 7. We take prod(ε) = 1, where ε is the null string. For example, prod(124) = (1 x 2 x 4) mod 7 = 1. Define L = {x in Σ* | prod(x) = 2}. The number of states in a minimum state DFA for L is ___________. (Answer in integer)
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