Question: Design a data type that supports: insert in logarithmic time, find the median in constant time, remove the median in logarithmic time. Give pseudocode of

Design a data type that supports:

insert in logarithmic time, find the median in constant time, remove the median in logarithmic time.

Give pseudocode of your algorithms. Discuss the complexities of the three methods. Your answer will be graded on correctness, efficiency, and clarity.

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