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Question: There are twenty gigabyte of space on a computer's hard disk. I transfer information via a telephone line (connection) at the rate of 14,400 bits per second. At this rate how long will it take to fill the available storage space?
Today ISDN cost $40 every month for BRI service which includes 1 D Channel and 2 B Channels. Every channel is capable of transmitting 64kbps of voice, data, video or fax for a total of 128 kbps.
Give an algorithm to find the schedule that obtains the maximum amount of profit, assuming that all processing times are integers between 1 and n.
Assume you have the array A of n items, and you want to find k items in A closest to the median of A. Describe why your algorithm runs in O(n) time.
Suggest the algorithm which divides n objects of U into k clusters, making use of MST of a graph. Give a simple argument of correctness and bound on the running time of the algorithm you are proposing.
Find the Minimum Cost Path from a designated start node to a designated destination node in a graph.
Explain an O(m+n) algorithm which, given an initial infection of a computer Ca at time t determines for each other computer the earliest time at which it can become infected.
Explain how to determine such a line in O(n lg n) time. Provide the O(n^2 lg n)-time algorithm to pair Ghostbusters with ghosts in such a way that no streams cross.
Explain the distinction between an ambiguity in a proposed algorithm and an ambiguity in the representation of an algorithm. Describe how the use of primitives helps remove ambiguities in an algorithm's representation.
Acme Inc. is making next generation financial tracking program, and Alice has been provided the task of writing encryption component.
Describe an algorithm that finds a maximum feasible flow in G. Denote by MF(|V|, |E|) the worst-case running time of an ordinary maximum flow algorithm.
Design a divide-and-conquer algorithm for the Motif Finding problem and estimate its running time. Have you improved the running time of the exhaustive search algorithm?
Determine hash value of modified file look like, as compared with original hash value?
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