← Hudson River Trading Interview Insights
Spent the first few minutes just re-reading the problem because I kept second-guessing the alternating part.
Clarify the problem constraints and edge cases, then propose an efficient algorithm using two pointers or a balanced BST to find the nearest sticks alternately. Walk through a small example to validate the approach, and analyze time and space complexity.
Pro tip: Demonstrate strong communication by restating the problem in your own words and discussing trade-offs between different data structures (e.g., two pointers vs. balanced BST) before coding.
Ask questions to confirm details: Are sticks only positive integers? Can the bird skip empty spaces? What if there are no sticks on one side? Does the total length include only collected sticks? How to handle ties (equidistant sticks)?
Describe the high-level approach: maintain pointers to the nearest stick on the left and right, alternate directions, collect sticks, and accumulate total length until it reaches 100. Use a data structure to efficiently find the next stick in each direction.
Choose a small array (e.g., [0, 2, 0, 3, 0, 4]) and simulate the process step by step, showing how the pointers move and the total length increases. This validates the algorithm and catches edge cases.
Discuss the time and space complexity of your approach. For example, using two pointers with precomputed next-stick arrays gives O(n) time and O(n) space; using a balanced BST gives O(n log n) time and O(n) space.
Mention how to handle cases like no sticks on one side, starting on a stick, total length exactly 100, or array with fewer than needed sticks. Ensure the algorithm terminates correctly.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.