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Question 2: Let S be a set of n points in R 2 . We consider each point of S to be the location of a city. With each point of S, we are also given the size of the population of the city represented by this point. Describe a data structure of size O(n log n) that supports the following type of query in O(log2 n) time: Given a query point q in R 2 and a query range [a, b], report the city with a population in the range [a, b] that is closest to q. Justify the size and query time of your data structure.

Question 2: Let S be a set of n points in R 2 . We consider each point of S to be the location of a city. With each point of S, we are also given the size of the population of the city represented by this point. Describe a data structure of size O(n log n) that supports the following type of query in O(log2 n) time: Given a query point q in R 2 and a query range [a, b], report the city with a population in the range [a, b] that is closest to q. Justify the size and query time of your data structure.

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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Question 2: Let S be a set of n points in R 2 . We consider each point of S to be the location of a city. With each point of S, we are also given the size of the population of the city represented by this point. Describe a data structure of size O(n log n) that supports the following type of query in O(log2 n) time: Given a query point q in R 2 and a query range [a, b], report the city with a population in the range [a, b] that is closest to q. Justify the size and query time of your data structure.

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