The insert and remove parts felt manageable but getRandom is where it gets tricky.
Combine a dynamic array (for O(1) random access) with a hash map (for O(1) lookup by value). For removal, swap the target element with the last element, update the hash map, then pop the last element. This ensures all operations remain average O(1).
Pro tip: Emphasize that the hash map stores indices, not values, and that swapping with the last element is key to maintaining O(1) removal. Also, mention edge cases like removing the last element or the only element.
Confirm that all operations must be average O(1) and that getRandom should return each element with equal probability. Ask about duplicates, null values, and concurrency if relevant.
Select a dynamic array (e.g., ArrayList in Java, list in Python) for O(1) random access and a hash map (e.g., HashMap) for O(1) value-to-index lookup.
Append the new element to the array and record its index in the hash map. If duplicates are allowed, store a set of indices per value.
Look up the index of the element to remove. Swap it with the last element in the array, update the hash map for the swapped element, then remove the last element from the array and the hash map entry for the removed value.
Generate a random index between 0 and size-1 and return the element at that index from the array. This gives uniform probability.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.