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.
The Ayurvedic System of Medicine: Punarvasu Atreya (about 6th century B.C.) taught medicine at Taxila. Each of his disciples such as Bhela, Jatukarna, Harita, Ksarapani, Par
Model water wheels A meat skewer or a knitting needle can be used as an axle. An old typewriter ribbon- spool or a sticking plaster reel is useful as a basis for these improvis
How is our atmosphere different from the atmospheres on Venus and Mars? Earth's atmosphere is different from those of Venus and Mars. This difference lies essentially in their c
Q. List any three human activities which would lead to an increase in the carbon dioxide content of air (i) Burning of fuels in various processes like heating, cooking, transpor
Sphyllis
ARAB RENAISSANCE: The Roman Empire had begun to decline. Its economy was overburdened by a huge army. Stagnating production had led to the imposition of heavy taxes. Consequentl
Draw a diagram of one battery connected to two light bulbs
What common type of paper having substantial amounts of corundum and magnetite? Sand Paper
What is Decarboxylation Reaction and Biogenic Amines What are biogenic amines? Any of a group of naturally occurring, biologically active amines, such as norepinephrine, histam
Determine about the Physico-chemical parameters The possible combination of various elements found in the earth's crust gives rise to a large number of minerals. Out of all the
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