Efficient data structure or algorithm for specific task

Design and implement a data structure or algorithm that performs specific task with time complexity of at worst O notation for runtime in worst case and space complexity of at worst O notation for memory in worst case , while additional requirements . Your implementation should be programmed in specific language or framework and include additional features or functionalities . Additionally, you should thoroughly test your implementation using specific type of testing and provide detailed documentation or explanation on the design choices, optimizations, and trade-offs made."