Problem 2: Search an Array Considering the search problem, we have a list of n integers A = (v1, v2, --- Vn). We want to design an algorithm to check whether an item v exists or not such that it should return either the index, i, if it was found or -1 otherwise, when not found.

Problem 2: Search an Array Considering the search problem, we have a list of n integers A = (v1, v2, --- Vn). We want to design an algorithm to check whether an item v exists or not such that it should return either the index, i, if it was found or -1 otherwise, when not found.

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

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.

Question

Empirically, using time measurements, test your algorithm and plot a graph that shows its growth rate when variating the size.

Problem 2: Search an Array
Considering the search problem, we have a list of n integers A = (v1, v2, .. Vn). We want
to design an algorithm to check whether an item v exists or not such that it should return
either the index, i, if it was found or –1 otherwise, when not found.

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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