The array plus hashmap idea comes to you pretty fast, but the devil is in the swap.
Use a dynamic array to store all elements (including duplicates) and a hash map from each unique value to a set of its indices in the array. For insert, append to the array and add the index to the value's set; for remove, swap the element to remove with the last element, update the moved element's index, then remove the last element; for getRandom, pick a random index from the array. This achieves average O(1) time for all operations.
Pro tip: When removing, always swap with the last element to avoid shifting, and handle the edge case where the removed element is the last element itself. Also, mention that using a set for indices ensures O(1) removal of the index, and that getRandom is O(1) because array access is constant time.
Confirm that duplicates are allowed, getRandom must be proportional to frequency, and all operations should be average O(1). Discuss potential edge cases like removing non-existent elements or empty collection.
Propose using a dynamic array (list) to store all elements and a hash map mapping each value to a set of indices where it appears. Explain why a set is used instead of a list for indices (O(1) removal).
Append the value to the array, add its index to the set in the hash map, and return true. If the value is new, create a new set.
Check if the value exists; if not, return false. Get an arbitrary index from the value's set, swap the element at that index with the last element in the array, update the index set for the swapped element, then remove the last element from the array and the index from the value's set. If the set becomes empty, remove the key from the map.
Generate a random index between 0 and array length - 1, and return the element at that index. This ensures each occurrence is equally likely, so probability is proportional to frequency.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.