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Let's define the median ag

Let's define the median ag

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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7. Let's define the median again just for this question©. In a multiset of n elements, the median is the middle element, such that the number of elements less than or equal the median is equal to the number of elements larger than or equal the median. If n is odd, we can find the median by sorting the set and taking the middle element. If n is even, the median is defined as the average of the two middle elements. For example, the median of the multiset {1, 1, 2, 3, 5} is 2, and the median of the multiset {1, 1, 2, 3, 5, 8} is 2.5. Design a data structure that supports insertin O(log n) time, find_median in O(1) time, and remove_median in O(log n) time. Show your solution by writing pseudocode for all operations.
Transcribed Image Text:7. Let's define the median again just for this question©. In a multiset of n elements, the median is the middle element, such that the number of elements less than or equal the median is equal to the number of elements larger than or equal the median. If n is odd, we can find the median by sorting the set and taking the middle element. If n is even, the median is defined as the average of the two middle elements. For example, the median of the multiset {1, 1, 2, 3, 5} is 2, and the median of the multiset {1, 1, 2, 3, 5, 8} is 2.5. Design a data structure that supports insertin O(log n) time, find_median in O(1) time, and remove_median in O(log n) time. Show your solution by writing pseudocode for all operations.
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