Find maximum path in interval list
Last updated: September 18, 2025
Quick Overview
Given a list of intervals, write a function to find the maximum path length that can be formed by connecting overlapping intervals. The input will be a list of intervals represented as pairs of integers, and the output should be a single integer representing the maximum path length.
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September 18, 20255
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Given a list of intervals, write a function to find the maximum path length that can be formed by connecting overlapping intervals. The input will be a list of intervals represented as pairs of integers, and the output should be a single integer representing the maximum path length.
Coding interviews at Zoom focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.
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
- Can you solve this in a single pass?
- Can you solve this iteratively instead of recursively (or vice versa)?
- Can you optimize the space complexity of your solution?
- How would your solution change if the input was sorted?
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Practice DSA ProblemsSample Answer
Problem Analysis
To solve the problem of finding the maximum path length from overlapping intervals, we can recognize that this involves identifying connected components of intervals. The overlapping intervals can be ...
Approach
- Sort the intervals: Begin by sorting the list of intervals by their start times. For example, if we have intervals
[(1, 3), (2, 5), (6, 8), (7, 10)], sorting will give us the same list since ...
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