Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 17 Sep 2017 My Price 5.00

Nesting boxes

Nesting boxes

A d-dimensional box with dimensions (x1, x2,..., xd) nests within another box with dimensions (y1, y2,..., yd) if there exists a permutation π on {1, 2,..., d} such that xπ(1) < y1, xπ(2) < y2,..., xπ(d) < yd.

a. Argue that the nesting relation is transitive.

b. Describe an efficient method to determine whether or not one d-dimensional box nests inside another.

c. Suppose that you are given a set of n d-dimensional boxes {B1, B2,..., Bn}. Describe an efficient algorithm to determine the longest sequence  of boxes such that nests within  for j = 1, 2,..., k - 1. Express the running time of your algorithm in terms of n and d.

Answers

Maurice Tutor
(5)
Status NEW Posted 17 Sep 2017 08:09 AM My Price 5.00

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