Microsoft Office Access 365/2019 A Skil
Microsoft Office Access 365/2019 A Skil
10th Edition
ISBN: 9780357012826
Author: ANDREWS
Publisher: Cengage Learning
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Chapter 1, Problem 10TC

Explanation of Solution

Given:

A laptop that displays a blank screen during boot up but the backlight and brightness are working fine.

To find: A method to check whether the LCD panel of the laptop has failed and to work on it for a week in that state...

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You are given a rope of length n meters and scissors that can cut the rope into any two pieces. For simplification, only consider cutting the rope at an integer position by the meter metric. Each cut has a cost associated with it, c(m), which is the cost of cutting the rope at position m. (You can call c(m) at any time to return the cost value.) The goal is to cut the rope into k smaller pieces, minimizing the total cost of cutting. B Provide the pseudo-code of your dynamic programming algorithm f(n,k) that will return the minimum cost of cutting the rope of length n into k pieces. Briefly explain your algorithm. What is the benefit of using dynamic programming for this problem? What are the key principles of dynamic programming used in your algorithm?
Determine whether each of the problems below is NP-Complete or P A. 3-SAT B. Traveling Salesman Problem C. Minimum Spanning Tree D. Checking if a positive integer is prime or not. E. Given a set of linear inequalities with integer variables, finding a set of values for the variables that satisfies all inequalities and maximizes or minimizes a given linear objective function.
1. Based on our lecture on NP-Complete, can an NP-Complete problem not have a polynomial-time algorithm? Explain your answer. 2. Prove the conjecture that if any problem in NP is not polynomial-time solvable, then no NP-Complete problem is polynomial-time solvable. (You can't use Theorem 1 and 2 directly) 3. After you complete your proof in b), discuss how this conjecture can be used to solve the problem of whether P=NP.
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