I spent way too long trying to be clever about this.
First, clarify the problem statement and edge cases, then propose a greedy algorithm that simulates each hop: from the current position, find the nearest charging station at or ahead, add the walking distance, and jump up to 10 units forward. Analyze time and space complexity, and discuss potential optimizations or alternative approaches.
Pro tip: Demonstrate strong communication by walking through a small example step-by-step, and explicitly state assumptions (e.g., target may not be a station, stations are sorted). This shows attention to detail and prevents misunderstandings.
Ask questions to confirm details: Is the target guaranteed to be reachable? Can the drone fly less than 10 units? Are stations inclusive? What if no station is ahead? This ensures you understand the requirements.
Explain that at each step, you find the nearest station at or ahead of the current position, add the distance to total walking, then move the drone forward by up to 10 units (or to the target if closer). Repeat until target is reached.
State that the algorithm runs in O(n) time and O(1) space, where n is the number of stations. Discuss edge cases: target before first station, no stations, target exactly at a station, etc.
Mention that the greedy approach is optimal because walking to the nearest station minimizes walking distance per hop. Consider if there are scenarios where walking further could reduce total distance (e.g., skipping a station) and explain why not.
Walk through a concrete example, such as stations at [5, 15, 25] and target 30, to verify the algorithm and demonstrate correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.