I went with the hash map plus dynamic array approach for the random-get variant, which worked, but I fumbled a bit explaining the index swap-and-pop trick for deletion.
Start by clarifying the requirements: O(1) average insert and O(1) average retrieval of a random element. Then propose a hybrid data structure combining a dynamic array for O(1) random access and a hash map for O(1) lookup, explaining how insertions and deletions maintain the array's compactness. Finally, analyze the time complexity and discuss trade-offs like worst-case O(n) due to resizing.
Pro tip: Mention that this is exactly the design of a 'randomized set' (like LeetCode 380) and that the same structure underpins reservoir sampling and negative sampling in ML, showing you connect data structures to real ML pipelines.
Confirm that 'representative element' means uniform random selection, and that insertions are of unique items. Ask about deletion support, memory constraints, and whether worst-case or average-case O(1) is required.
Use a dynamic array (list) to store elements contiguously for O(1) random access, and a hash map (dictionary) mapping each element to its index in the array for O(1) lookup.
For insert: check if element exists via hash map; if not, append to array and record its index in the map. For getRandom: generate a random index in [0, len(array)-1] and return array[index].
To delete an element, swap it with the last element in the array, update the swapped element's index in the map, then pop the last element and remove the deleted element from the map. This keeps the array compact.
Explain that all operations are O(1) average due to hash map operations and array appends/pops. Note that resizing the array gives amortized O(1) and worst-case O(n) for a single insert. Discuss space O(n).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.