Given an array A that contains a set of positive integer values n, where 4≤ n ≤ 100. Now, consider the following expression: A[s] - A[r] + A[q] - A[p]; where p, q, r, and s are an index of the array A, and p

Given an array A that contains a set of positive integer values n, where 4≤ n ≤ 100. Now, consider the following expression: A[s] - A[r] + A[q] - A[p]; where p, q, r, and s are an index of the array A, and p

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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Concept explainers

Hash Table

A hash table also called a hash map, is a data structure that maps key-value pairs. The hash table can be used in complex systems to provide fast access and compact storage. A hash table is a structure that stores data in an abstract data type kind of associative array. It keeps data in an array format, with a distinct index value for every data value. If the index of the required data is known, then the data can be accessed very easily.

Question

Given an
array A that contains a set of positive
integer values n, where
4 ≤ n ≤ 100. Now, consider the following
expression:
A[s] - A[r] + A[q] - A[p];
where p, q, r, and s are an index of the
array A, and p <q <r<s. We want to
maximize this
expression. Now, answer the followings
questions:
I.
We generate a naive solution that
considers all combinations the numbers
in array A. What is
the time complexity of this solution?
II.
Write a code that maximize the
expression given above. Do not use the
naïve solution
(preferably, use the DP approach) and do
not use any built-in methods.
Sample Input 1: A[] = [4, 8, 10, 1, 23, 40]
Output: 45
Explanation: The expression (40 − 1 + 10
-
– 4) will result in the maximum value

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