In the on-line convex-hull problem, we are given the set S of n points in the plane one point at a time. After receiving each point, we compute the convex hull of the points seen so far. Obviously, we could run Graham's scan once for each point, with a total running time of O(n2lgn). Show how to solve the on-line convex-hull problem in a total of O(n2) time.

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
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In the on-line convex-hull problem, we are given the set S of n points in the plane one point at a time. After receiving each point, we compute the convex hull of the points seen so far. Obviously, we could run Graham's scan once for each point, with a total running time of O(n2lgn). Show how to solve the on-line convex-hull problem in a total of O(n2) time.

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