Two Pointers on interval list
Last updated: April 26, 2026
Quick Overview
Given a list of intervals, implement a function using the two pointers technique to merge overlapping intervals and return a new list of non-overlapping intervals. The input will be an array of intervals, where each interval is represented as a pair of integers [start, end]. The output should be a list of merged intervals in ascending order based on their start times.
Dropbox
April 26, 20263
15
3,703 solved
Given a list of intervals, implement a function using the two pointers technique to merge overlapping intervals and return a new list of non-overlapping intervals. The input will be an array of intervals, where each interval is represented as a pair of integers [start, end]. The output should be a list of merged intervals in ascending order based on their start times.
Dropbox uses this problem in the Take-home Project to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.
What the Interviewer Expects
- Recognize the underlying problem pattern (sliding window, two pointers, BFS/DFS, etc.)
- Discuss multiple approaches and trade-offs before coding
- Implement an optimal solution with clean, production-quality code
- Handle all edge cases including boundary conditions and invalid input
- Optimize both time and space complexity with clear justification
- Test your solution systematically with well-chosen examples
Key Topics to Cover
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
- What happens if the input contains duplicates?
- How would you test this solution thoroughly?
- What is the worst-case input for your solution?
- What if the input doesn't fit in memory?
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Problem Analysis
The problem of merging overlapping intervals can be effectively solved using the two pointers technique. Here, we can view the intervals as a sorted list of pairs, where each pair indicates the st...
Approach
- Sort the intervals: First, we sort the intervals based on the start time. For example, given intervals
[[1,3],[2,6],[8,10],[15,18]], after sorting, we have[[1,3],[2,6],[8,10],[15,18]]. 2....