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.
How to identify errors in an experiment (like a word problem)
Explain General Structural Plan of the Gastrointestinal Tract The wall of the gastrointestinal tract consists of four layers of tissue. These are: Adventitia or outer co
Explain the Filiform papillae These are long and slender and are the smallest of the three types of papillae. They are found to be most numerous on the edges and anterior two t
Illustrate about the colour of the soil The colour of the soil gets influenced by the oxidation states of metal ions. Colours such as red, yellow and reddish brown are found u
Explain Macrophages They are large, long living effective phagocytes, which enlarge out of monocytes. It is an irregular cell about 25-50 mm in size. It has a large ovoid nucle
Keep acid/base concentration of blood constant - Function of Kidney Keep the acid/base concentration of the blood constant and regulate the blood-pressure. Renin, an enzyme- li
Name 2 places on earth where continental glaciers exist: Antarctica And Greenland are the two place where continental glaciers exist:
Explain Skin Secretions - External Defence Mechanism The oil and sweat secreted by sebaceous and soporiferous glands contains fatty and lactic acids, which makes the surface of
Explain the property of Water Water has a significant property called surface tension that markedly influences its behaviour in soils and may be measured by level of water rise
Ventures in Space: Sometimes the atmospheric conditions distort the light or radiowaves coming in from space. For instance, there may be a storm disturbing the radiowaves. O
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