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Sketch of a deterministic finite automaton (DFA) for the following regular language (type 3):$$ L ~=~ \{ w \in \{0,1\}^* ~:~ |w| ~\text{mod}~ 3 = 1 \} $$
This is a language with words \(w\) whose word length \(|w|\) is divisible by 3 with remainder 1. For example:$$ L ~=~ \{ 0, 1, 01, 10, 11, 00, 111,~... \} $$