Given a function H(n) which requires 2n units of time to be executed. a) Find the complexity T(n) of the Python code segment below, where n is the size of the input data. Show your result in polynomial form and clearly show your steps. b) What is its Big-O representation based on the properties of Big-O? Name the related property of Big-O applied in this case. for i in range(n): H(n) for j in range(n): for k in range(j+1): H(n)

Given a function H(n) which requires 2n units of time to be executed. a) Find the complexity T(n) of the Python code segment below, where n is the size of the input data. Show your result in polynomial form and clearly show your steps. b) What is its Big-O representation based on the properties of Big-O? Name the related property of Big-O applied in this case. for i in range(n): H(n) for j in range(n): for k in range(j+1): H(n)

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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Exercise 2. Give a recursive definition for the factorial operation k! n! for n ≥ 1. (remember that 1! = 0! = 1) Provide an algorithm in pseudo code to evaluate k! n! as one function Provide an algorithm in pseudo code to evaluate k! n! as three functions Evaluate the complexity of the algorithm at point 2 Evaluate the complexity of the algorithm at point 3
Answer (b) and the other subparts please.
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Question 4
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