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Amazon·Software Engineer·Onsite - Coding / Algorithms·Intermediate

Intermediate
May 2026

Summary

Amazon SWE coding round with a classic interval merging problem. Nothing too crazy but it's the kind of question that trips you up if you haven't drilled sorting-based greedy approaches recently.

Questions Asked (1)

Q1

Given m closed time intervals from multiple detectors, merge all overlapping intervals and return them sorted by start time.

Algorithms & Data Structures
Author's notes

Sort by start, then walk through and extend the current interval if the next one overlaps, otherwise push and move on.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the problem: intervals are closed, meaning they include endpoints, so overlapping occurs when one interval's start is less than or equal to the other's end. Sort intervals by start time, then iterate through them, merging overlapping intervals into a result list. Finally, return the merged list, which will be sorted by start time.

Pro tip: Mention edge cases like empty input, single interval, and intervals that touch at endpoints (e.g., [1,2] and [2,3] should merge because they are closed). Also, discuss time complexity: O(m log m) due to sorting, which is optimal.

1. Clarify and Confirm

Ask if intervals are closed (inclusive endpoints) and if the input can be empty or unsorted. Confirm that merging should combine intervals that overlap or touch.

2. Sort Intervals

Sort the intervals by their start times. This ensures that any overlapping intervals are adjacent, simplifying the merging process.

3. Merge Overlapping Intervals

Initialize a result list with the first interval. Iterate through the sorted intervals; if the current interval overlaps with the last interval in the result (i.e., its start <= last end), merge them by updating the last interval's end to the maximum of both ends. Otherwise, add the current interval to the result.

4. Return Result

After processing all intervals, return the merged list. It will be sorted by start time because we sorted initially and only appended non-overlapping intervals.

Key Points to Mention

  • Sorting by start time is crucial for O(m log m) time complexity.
  • Closed intervals: overlapping condition is start <= previous end.
  • Merging updates the end to max(previous end, current end).
  • Edge cases: empty input, single interval, intervals that touch at endpoints.
  • Time complexity: O(m log m) due to sorting; space complexity: O(m) for the result.
  • The output is sorted by start time as a natural consequence of the algorithm.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.