Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
You are the mayor of a beautiful city by the ocean, and your city is connected to the mainland by a set of k bridges. Your city manager tells you that it is necessary to come up with an evacuation plan in the event of a hurricane. Your idea is to add a sign at each intersection pointing the direction of the route to the closest of the k bridges. You realize that this can be modeled as a graph problem, where the street intersections are nodes, the roads are edges, and the edge weights give the driving time between two adjacent intersections. Note that some of the roads in your city are one-way roads.
(a) Explain how to solve the evacuation-route problem in O(mlog n) time, where n is the number of intersections and m is the number of streets connecting two adjacent intersections. Note that the number of bridges k is not a constant, that is, it may depend on n and m. Therefore, a running time of O(k · mlog n) is not an acceptable solution. (Although I will give half credit for such a solution.) The output of your algorithm will be a labeling of the intersections, with an arrow pointing to the road to take to the closest bridge.
(b) Some of the bridges can hold more capacity than others. For 1 ≤ i ≤ k, we associate a positive numeric weight ci with each bridge. To encourage people to use bridges with higher capacity, we treat distances to different bridges differently. In particular, if δ is the actual distance from some intersection to bridge i, we assign it a capacity-weighted distance of δ/ci. Therefore, the higher the bridge capacity is, the lower the weighted distance. Present an O(mlog n) time algorithm to solve the evacuation-route problem using capacity-weighted distances. (Again, I will give half credit for a solution running in O(k · mlog n) time. Problem 4 additional info: 2b - some of the bridges will be higher capacity. Their weights will be function of (distance/number of lanes) → this will give us shorter weight and we can treat it as a better route to take even though the distance is farther away.
why we use mercury in the measurement of conductance using wheatstone bridge principle
ACCIDENT REPORTING To start with, let us explain two closely related words, accident and incident. Accident is an unexpected or unplanned event. It may cause i) Harm to s
what is light energy
Explain Mucous membranes - External Defence Mechanism Mucous membranes: The digestive, urinary, genital and respiratory tracts open out at one or both ends. They do not have a
Explain Abnormalities due to Changes in Serum Electrolytes The intracellular and extracellular electrolyte concentration difference is responsible for the resting membrane pot
How to make a simple apparatus for distilling water You can make a easy water-distilling apparatus from a flask, and a length of glass or rubber tubing. Fit the flask with a si
Define the term - Soil protozoa These are unicellular but larger than bacteria, the size varying from a few microns to a few centimeters. The protozoa exist in all aerable soil
Explain the Passive Factors or Passive Soil Formers Passive factors are by and large slow acting factors and include parent material, topography and time.
Explain Monocytes - Types of White Blood Cells They are motile and occasionally show phagocytic activity. They form only 5% of leukocytes, capable of providing more phagocytic
What is your evaluation of the effectiveness of the U.S. health care system in the context of delivery, finance, management, and/or sustainability? What are the issues that prompte
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd