6. Design a data structure that has the following properties: • Find median takes O(1) time • Extract-Median takes O(log n) time • Insert takes O(log n) time • Delete takes O(log n) time where n is the number of elements in your data structure. Describe how your data structure will work and provide algorithms for all aforemen- tioned operations. You are not required to prove the correctness of your algorithm.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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6. Design a data structure that has the following properties:
Find median takes O(1) time
Extract-Median takes O(log n) time
• Insert takes O(log n) time
• Delete takes O(log n) time
where n is the number of elements in your data structure. Describe how
your data structure will work and provide algorithms for all aforemen-
tioned operations. You are not required to prove the correctness of your
algorithm.
Transcribed Image Text:6. Design a data structure that has the following properties: Find median takes O(1) time Extract-Median takes O(log n) time • Insert takes O(log n) time • Delete takes O(log n) time where n is the number of elements in your data structure. Describe how your data structure will work and provide algorithms for all aforemen- tioned operations. You are not required to prove the correctness of your algorithm.
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