Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 20.3, Problem 5E
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To explain the running time of the vEB tree created by
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Imagine that you have a database that contains the x, y coordinates as well as the names of eateries. Consider the possibility that just the following categories of questions will be asked: The inquiry seeks to ascertain whether or not a restaurant can be discovered at a certain place. Indexes based on R-trees against those based on B-trees: which is superior? Why?
Consider the following data entries: 21, 24, 4, 10, 30, 34, 12, 13, 16. Build up step by step an order 2 B+ tree index for the above data entries. Also, clearly state what makes that B+ tree order 2.
Suppose that the data mining task is to cluster the following eight points (with (x, y)representing location) into three clusters:(3, 10), (2, 15), (8, 10), (5, 8), (4, 5), (6, 4), (3, 2), (4, 12)The distance function is Euclidean distance. Suppose initially we assign A1, B1, and C1 as the center of each cluster, respectively.
Use the k-means algorithm to show onlya. The three cluster centers after the first round execution.b. The three clusters after the first round execution.
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