Explain, in your own words, why the following equality holds:O(n² + 1) = 0(2n² + 2n + 1)i.e. why n? + 1 and 2n? + 2n +1 are in the same O-complexity class. Using recursion, write a function:def isIn(self, d)that returns True if d is in the list (the one represented by self) and False otherwise.

Answered: Using recursion, write a function: def…

Using recursion, write a function: def isIn(self, d) that returns True if d is in the list (the one represented by self) and False otherwise.

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

Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.

Question

Explain, in your own words, why the following equality holds:
O(n² + 1) = 0(2n² + 2n + 1)
i.e. why n? + 1 and 2n? + 2n +1 are in the same O-complexity class.

Using recursion, write a function:
def isIn(self, d)
that returns True if d is in the list (the one represented by self) and False otherwise.

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