Point of maximum overlap Suppose that we wish to keep
Chapter 14, Problem 14-1(choose chapter or problem)
Point of maximum overlap Suppose that we wish to keep track of a point of maximum overlap in a set of intervalsa point with the largest number of intervals in the set that overlap it. a. Show that there will always be a point of maximum overlap that is an endpoint of one of the segments. Notes for Chapter 14 355 b. Design a data structure that efficiently supports the operations INTERVALINSERT, INTERVAL-DELETE, and FIND-POM, which returns a point of maximum overlap. (Hint: Keep a red-black tree of all the endpoints. Associate a value of C1 with each left endpoint, and associate a value of 1 with each right endpoint. Augment each node of the tree with some extra information to maintain the point of maximum overlap.)
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