← J.P. Morgan Interview Insights
Start by clarifying the problem constraints (e.g., exactly one solution, cannot use same element twice, array size). Then present a brute-force O(n^2) solution, followed by an optimized O(n) solution using a hash map to store complements. Walk through the algorithm with a small example, and discuss time/space complexity.
Pro tip: In a fintech interview, emphasize edge cases like duplicate values, negative numbers, and large datasets, and mention that the hash map approach is optimal for real-time trading systems where speed is critical.
Ask about input size, whether the array is sorted, if there is exactly one solution, and if the same element can be used twice. This shows attention to detail and avoids incorrect assumptions.
Mention the naive O(n^2) solution using nested loops to check all pairs. Acknowledge its simplicity but highlight inefficiency for large inputs.
Explain using a hash map to store each number's index as you iterate. For each element, check if its complement (target - current) exists in the map. If yes, return the indices; otherwise, add the current number and index to the map.
Choose a small array (e.g., [2, 7, 11, 15], target 9) and step through the algorithm to demonstrate correctness and how the map updates.
State that the hash map solution runs in O(n) time and O(n) space. Discuss edge cases: duplicate numbers, negative numbers, no solution, and large arrays.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.