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Amazon·Software Engineer·Technical Phone Screen·Senior

Senior
May 2026

Summary

Amazon Applied Scientist interview with a classic interval merging problem. Nothing too exotic but the implementation details matter more than you'd think.

Questions Asked (1)

Q1

Given an array of intervals, merge all overlapping ones and return the resulting non-overlapping intervals.

Algorithms & Data Structures
Author's notes

Sort by start time first, then sweep through and merge whenever the current interval's start is within the previous one's end.

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AI HintsAI Generated

Suggested Approach

Sort the intervals by their start times, then iterate through them while maintaining a 'current' merged interval, extending it whenever the next interval overlaps. This greedy approach ensures a single linear pass after sorting, yielding an O(n log n) overall solution dominated by the sort step.

Pro tip: Proactively mention edge cases like an empty input array, a single interval, or intervals that are only touching (e.g., [1,2] and [2,3]) and clarify with your interviewer whether touching intervals should be merged — this signals production-level thinking that Meta values.

1. Clarify & Define Constraints

Confirm input format (e.g., list of [start, end] pairs), whether intervals can be unsorted, and edge cases like empty arrays or touching intervals. Ask if in-place modification is preferred or a new list is acceptable.

2. Sort Intervals by Start Time

Sort the array of intervals based on the start value of each interval. This guarantees that any overlapping interval with the current one can only appear immediately after it in the sorted order.

3. Iterate and Merge Greedily

Initialize a result list with the first interval, then for each subsequent interval check if its start is less than or equal to the current interval's end. If so, extend the end to the maximum of both ends; otherwise, push the current interval to results and start a new one.

4. Handle Final Interval

After the loop, ensure the last active interval is appended to the result list, as it won't be pushed inside the loop iteration.

5. Analyze Complexity & Test

State the time complexity as O(n log n) due to sorting and O(n) space for the output. Walk through 2-3 test cases including normal overlap, no overlap, and fully contained intervals to validate correctness.

Key Points to Mention

  • Sorting by start time as the foundational step that enables a single greedy pass
  • Overlap condition: next interval's start <= current interval's end (using ≤ vs < depending on touching-interval definition)
  • Merging by taking the maximum of the two end values to handle fully contained intervals (e.g., [1,10] swallowing [2,5])
  • Time complexity O(n log n) and space complexity O(n) for the output array
  • Edge cases: empty input, single interval, all intervals overlapping into one, no overlaps at all
  • In-place vs. new-list trade-offs and whether the original array should be mutated

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