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 9, Problem 2P
(a)
Program Plan Intro
To argue that the median
(b)
Program Plan Intro
To explain the procedure to computes weighted median of n elements using sorting technique.
(c)
Program Plan Intro
To explain the procedure to computes weighted median of n elements usinglinear-time median
(d)
Program Plan Intro
To argue that the weighted median is the best solution for the 1-dimension post-office location problems using distance between a and bbe
(e)
Program Plan Intro
To find the best solution for the 2-dimension post-office location problem using distance function
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Fair share problem: Given a set of N positive integers S={x1, x2, x3,…, xk,… xN}, decide whether S can be partitioned into two sets S0 and S1 such that the sum of numbers in S0 equals to the sum of numbers in S1. This problem can be formulated as a minimisation problem using the objective function which takes the absolute value of the difference between the sum of elements in S0 and the sum of elements in S1. Assuming that such a partition is possible, then the minimum for a given problem instance would have an objective value of 0. A candidate solution can be represented using a binary array r=[b1, b2, b3,…, bk,… bN], where bk is a binary variable indicating which set the k-th number in S is partitioned into, that is, if bk =0, then the k-th number is partitioned in to S0, otherwise (which means bk =1) the k-th number is partitioned in to S1. For example, given the set with five integers S={4, 1, 2, 2, 1}, the solution [0,1,0,1,1] indicates that S is…
Chapter 9 Solutions
Introduction to Algorithms
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