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I knew the sort-then-sweep approach but fumbled explaining why sorting by start is necessary before you can safely merge.
Start by clarifying the problem: confirm interval representation (inclusive/exclusive, sorted input), expected output format, and edge cases. Then propose a sort-based approach: sort intervals by start time, iterate and merge overlapping intervals by comparing current start with previous end. Analyze time and space complexity, and discuss potential optimizations or alternative approaches if needed.
Pro tip: Mention that sorting is key to achieving O(n log n) time, and that you can merge in-place if the input is mutable to save space. Also, proactively discuss how to handle edge cases like empty input or intervals that just touch (e.g., [1,2] and [2,3]) to show attention to detail.
Ask about interval inclusivity, input sorting, output format, and constraints. Discuss edge cases: empty list, single interval, intervals that touch, and large input.
Explain that sorting by start time allows linear merging. Describe the merge condition: if current interval's start <= last merged interval's end, merge by updating the end to max of both ends.
Use a small example like [[1,3],[2,6],[8,10],[15,18]] to demonstrate the algorithm step by step, showing how intervals are merged.
State time complexity O(n log n) due to sorting, space O(n) for output (or O(1) extra if in-place). Mention that if input is already sorted, time is O(n).
Write clean code with meaningful variable names. Test with edge cases and verify correctness. If time permits, discuss alternative approaches like using a stack or sweep line.
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