Professor Williams comes up with a scheme that allows the closest-pair algorithm to check only 5 points

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Professor Williams comes up with a scheme that allows the closest-pair algorithm to check only 5 points following each point in array Y′. The idea is always to place points on line l into set PL. Then, there cannot be pairs of coincident points on line l with one point in PL and one in PR. Thus, at most 6 points can reside in the δ × 2δ rectangle. What is the flaw in the professor’s scheme?

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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