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.
Define Pollutants Regulated Under the Clean Water Act? The Federal Water Pollution Control Act (FWPCA) Amendments of 1972 later amended while the Clean Water Act (CWA) organize
comparing a cell to a hospital
whats about body system
#question.I AM TRAYING TO DO A SCIENCE PROJECT FOR 7TH GRADE BUT I DONT KNOW WHAT SHOULD I DO ?
What is the function of the connective tissue?
Controlling Air Pollution: Now let us see, how air pollution can be controlled. i) Photochemical smog-eliminating this would require large scale changes in life style
Genetic Engineering: The modem biotechnology revolution is based on the understanding and manipulation of the structure of DNA. DNA is a complex organic molecule that directs
Why is the idea of modern human "races" is not considered a valid biological concept, and why is the idea of clinal variation more acceptable to biologists?
Thiamin (vitamin B1) Thiamin was first isolated in 1926 from rice polishing by Jansen and Donath. Its empirical formula was established in 1931 by Windaus and co-w
What is First Aid? First-aid is the immediate and temporary care given to the victim of an accident or sudden illness. Its purpose is to (1) help preserve life, (2) preve
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