My first instinct was to just count sequences naively and I almost missed that the same plate can have multiple trips.
Use a hash map to track the current state of each vehicle based on its license plate, updating the state as events are processed. When a vehicle completes the sequence ENTRY -> ROAD -> EXIT, increment the trip count and reset its state. This ensures O(n) time and O(k) space, where k is the number of unique vehicles.
Pro tip: Clarify edge cases upfront, such as multiple ENTRY events without EXIT or events out of order, and explain how your solution handles them. This shows attention to detail and robustness.
Restate the problem to ensure clarity: count trips where events for a vehicle occur in exact order ENTRY, ROAD, EXIT. Ask about input format, event ordering, and whether events are guaranteed to be in chronological order.
Select a hash map to store the current state of each vehicle (e.g., mapping license plate to an integer representing the last valid event in the sequence). This allows O(1) updates per event.
Define valid transitions: from no state or after EXIT, an ENTRY sets state to 1; from state 1, a ROAD sets state to 2; from state 2, an EXIT increments trip count and resets state to 0. Invalid events reset the state to 0.
Process each event in order, updating the state map according to the transitions. Count completed trips when an EXIT is valid.
Discuss time complexity O(n) and space O(k). Mention edge cases: multiple ENTRYs, missing ROAD, EXIT without ENTRY, and how your solution handles them.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.