federal government of CS-landia

The federal government of CS-landia has gotten word that Algotopia’s border walls are actually
virtual firewalls and will do nothing to contain the plague. Luckily, the city does have the ability to construct actual
walls on the border, just as they do in the interior of the city. The federal council is worried about a pandemic and
wants to be absolutely certain that the plague does not escape the city limits. The plague escaptes city limits if it can
spread beyond the city grid, that is if a square on the border of the grid gets infected and the wall separating the border
square from outside the city has not been built.
In addition, the federal council realizes that the head theorist’s cost function was simplistic. Infecting an originally
healthy square (i, j) now incurs an arbitrary cost Ii,j corresponding to the population of square. Additionally, each
wall costs a different amount to build. Let Wi,j,⇤ be the cost to build a wall on the side of square i, j indicated by ⇤,
which should be a direction in {“, !, , #}. The costs will be consistent, so both ways of indicating a particular wall
have the same cost. For example, Wi,j,” = Wi,j1,#.
Give an efficient algorithm to determine which walls to erect so as to minimize the total cost (the cost of building
walls plus the cost for infecting originally healthy squares), while ensuring that plague doesn’t escape the city. Prove
your algorithm is correct and state and analyze its runtime in terms of n. You may assume that the costs W and I are
bounded by a constant.
Figure 2: The grid on the left represents a possible instance of problem 1B (incomplete because it doesn’t contain
cost information), and the two grids on the right represent two possible solutions. The red represents intially infected
squares, the orange initially healthy squares that will get infected, and the white squares that begin and stay healthy.
The dark bolded lines represent walls that are constructed. Note that walls on the boundary of the grid do not initially
exist and must be constucted.

Get 20% Discount on This Paper
Pages (550 words)
Approximate price: -

Try it now!

Get 20% Discount on This Paper

We'll send you the first draft for approval by at
Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

Quality Custom Writers has assembled a team of highly skilled writers with diverse experience in the online writing circles. Our aim is to become a one stop shop for all your Academic/ online writing. Check out below our amazing service!

Essays

Essay Writing Services

At Quality Custom Writers, we prioritize on all aspects that creates a good grade such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines. The principal purpose of essay writing is to present the author's evaluation concerning a singular subject about which they have made. Since Professionalism is the mother of every success, try our team of experienced writers in helping you complete your essays and other assignments.

Admissions

Admission Papers

You have been trying to join that prestigious institution you long yearned for, but the hurdle of an admission essay has become a stumbling block. We have your back, with our proven team that has gained invaluable experience over time, your chance of joining that institution is now! Just let us work on that essay.How do you write an admission essay? How do you begin the essay? For answers, try Quality Custom Writers Now!

Editing

Editing and Proofreading

Regardless of whether you're pleased with your composing abilities, it's never an impractical notion to have a second eye go through your work. The best editing services leaves no mistake untouched. We recognize the stuff needed to polish up a writing; as a component of our editing and proofreading, we'll change and refine your write up to guarantee it's amazing, and blunder free. Our group of expert editors will examine your work, giving an impeccable touch of English while ensuring your punctuation and sentence structures are top-notch.

Coursework

Technical papers

We pride ourselves in having a team of clinical writers. The stringent and rigorous vetting process ensures that only the best persons for job. We hire qualified PhD and MA writers only. We equally offer our team of writers bonuses and incentives to motivate their working spirit in terms of delivering original, unique, and informative content. They are our resources drawn from diverse fields. Therefore your technical paper is in the right hands. Every paper is assessed and only the writers with the technical know-how in that field get to work on it.

Coursework

College Essay Writing

If all along you have been looking for a trustworthy college essay service provider that provides superb academic papers at reasonable prices, then be glad that you search has ended with us. We are your best choice! Get high-quality college essay writing from our magnificent team of knowledgeable and dedicated writers right now!

Coursework

Quality Assignment/Homework Help

We give the students premium quality assignments, without alarming them with plagiarism and referencing issues. We ensure that the assignments stick to the rules given by the tutors. We are specific about the deadlines you give us. We assure you that you will get your papers well in advance, knowing that you will review and return it if there are any changes, which should be incorporated.

× How can I help you?