(b) Now assume that one is given another list Bn = {bi} n i=1 of n distinct positive integers whose median mB is already known. Develop an algorithm that returns the sum of the two elements with value closest to mB, such that one of them is greater than mB and the other is lower than mB. Although sorting Bn would yield a quick solution, we will see later on that this is a exhorbitantly slow process and one can solve the problem without sorting Bn in singnificantly faster time. Hence, in your solution, Do Not Sort Bn and propose a solution that goes without Sorting. (c) State a loop invariant for the algorithm you proposed in part (b) above. (d) Prove the loop invariant you proposed in part (c) above.
(b) Now assume that one is given another list Bn = {bi} n i=1 of n distinct positive integers whose median mB is already known. Develop an algorithm that returns the sum of the two elements with value closest to mB, such that one of them is greater than mB and the other is lower than mB. Although sorting Bn would yield a quick solution, we will see later on that this is a exhorbitantly slow process and one can solve the problem without sorting Bn in singnificantly faster time. Hence, in your solution, Do Not Sort Bn and propose a solution that goes without Sorting. (c) State a loop invariant for the algorithm you proposed in part (b) above. (d) Prove the loop invariant you proposed in part (c) above.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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(b) Now assume that one is given another list Bn = {bi}
n
i=1 of n distinct positive integers whose
median mB is already known. Develop an
elements with value closest to mB, such that one of them is greater than mB and the other
is lower than mB. Although sorting Bn would yield a quick solution, we will see later on
that this is a exhorbitantly slow process and one can solve the problem without sorting
Bn in singnificantly faster time. Hence, in your solution, Do Not Sort Bn and propose a
solution that goes without Sorting.
(c) State a loop invariant for the algorithm you proposed in part (b) above.
(d) Prove the loop invariant you proposed in part (c) above.
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