ALGORITHM Insertion Sort(A[0..n − 1]) //Sorts a given array by insertion sort //Input: An array A[0..n - 1] of n orderable elements //Output: Array A[0..n - 1] sorted in nondecreasing order for i 1 to n - 1 do v ← A[i] ji-1 while j≥0 and A[j] > v do A[j+1] → A[j] j←j−1 A[j+1] → v

ALGORITHM Insertion Sort(A[0..n − 1]) //Sorts a given array by insertion sort //Input: An array A[0..n - 1] of n orderable elements //Output: Array A[0..n - 1] sorted in nondecreasing order for i 1 to n - 1 do v ← A[i] ji-1 while j≥0 and A[j] > v do A[j+1] → A[j] j←j−1 A[j+1] → v

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

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

100%

Compare algorithm 1 with algorithm 2.

What is the time efficiency of algorithm 2, and how is it compared to algorithm 1?

ALGORITHM InsertionSort(A[0..n − 1])
//Sorts a given array by insertion sort
//Input: An array A[0..n - 1] of n orderable elements
//Output: Array A[0..n - 1] sorted in nondecreasing order
for i 1 to n - 1 do
v ← A[i]
j←i-1
while j≥0 and A[j]> v do
A[j+1] ← A[j]
j←j−1
A[j+1] ← v

Compare the text's implementation of insertion sort with the following ver-
sion.
ALGORITHM InsertSort2(A[0..n − 1])
for i 1 to n - 1 do
←
ji-1
while j≥0 and A[j]> A[j+1] do
swap(A[j], A[j +1])
j←j-1

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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