The key was recognizing the O(N^2) loop and knowing which structure to swap in.
First, analyze the given function's time and space complexity to pinpoint the bottleneck, such as nested loops or redundant computations. Then, refactor using a more efficient algorithm or data structure, ensuring the original signature and behavior are preserved. Finally, verify correctness and performance improvement with test cases.
Pro tip: At Citadel, interviewers value clear communication of trade-offs and rigorous testing; always discuss the complexity improvement and edge cases before writing code.
Read the code carefully to understand its purpose, inputs, outputs, and any side effects. Identify the expected behavior that must be preserved.
Determine the time and space complexity of the current implementation. Look for nested loops, repeated work, or inefficient data structures that cause the bottleneck.
Based on the complexity analysis, select a more efficient algorithm or data structure (e.g., hash map, two-pointer, prefix sums) that reduces the dominant term.
Implement the optimized solution in a few lines, keeping the function signature and behavior identical. Ensure no unintended changes.
Test with edge cases and compare outputs to the original. Explain the new complexity and any trade-offs made.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.