Question: Assume that algorithm A1's running time roughly equals to T1(n) = 4n^2 + 2n + 6 and algorithm A2's running time roughly equals to T2(n)

Assume that algorithm A1's running time roughly equals to T1(n) = 4n^2 + 2n + 6 and algorithm A2's running time roughly equals to T2(n) = 2n lg(n) + 10 . Suppose that Computer A's cpu runs 10^8 instructions/sec. When the input size equals to 10^4, 10^6, and 10^12 respectively, how long will algorithm A1 take to finish for each input size in the WORST case? How long will algorithm A2 take to finish for each input size in the WORST case?

Show all steps and calculations please.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

nodes, but at least its bias can be quantified by Markov Chain L. INTRODUCTION analysis and thus can be corrected via appropriate re-weighting The popularity of online social networks (OSNs) in...

You are valuing a organisation that has $2 hundred million in debt using probability-weighted-situation evaluation. You carefully version 3 situations, such that the resulting enterprise fee equals...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Developments in Technology Light is incident from air on the end face of a multimode optical fibre at angle of incidence as shown below. n n 1 2 The refractive indices of the core and cladding are...

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

(iii) Now express your decision rule instead using only the quantities p(Ck), p(Cj ), p(x|Ck), p(x|Cj ), and relate it to the diagram above. [2 marks] (iv) If the classifier decision rule assigns...

Obtain the transfer function Vo(s)/Vi, (s) for the op-amp system shown in Figure. R2 C2

What is the main purpose of a procurement audit?

REVIOUS ANSWERS ASK YOUR Find the derivative of the function f by f ( x ) = 3 x ^ ( - 2 8 )

last two options for the multiple choice are : performance management development A construction equipment manufacturer, Roswell Corporation, is focusing on becoming a leader in sustainability in...

What is the purpose of job redesign? Which job redesign described in the text would appeal to you and why? scussion Boards

Define HRM. Based on your experience, how do you think HRM has played a role in your workplace? Why is it important for employees to be familiar with legal issues in the healthcare workplace? Review...

What is the role of the Joint Commission in health care?