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Randomized Set in O(1)
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Randomized Set in O(1)

MediumPython

Problem

Hive's activity surfaces need a collection of unique activity IDs that supports fast updates and uniform random selection. Implement a randomized set with constant average-time insertion, deletion, and random retrieval.

Your function receives an ordered list of operations and a random seed for reproducible evaluation. Each operation is represented as a two-element array: ["insert", value], ["remove", value], or ["getRandom"]. Return one result per operation. insert and remove return a boolean indicating whether the set changed. getRandom returns one uniformly selected value from the current set. The input will not request getRandom when the set is empty.

Use a hash map and a dynamic array. The public operation-processing function should use a randomized set internally.

Constraints

  • 1 <= operations.length <= 10^5
  • -10^9 <= value <= 10^9
  • Values are integers
  • getRandom is called only when the set is non-empty
  • Each operation must run in average O(1) time

Function Signature

def randomized_set(operations, seed):
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