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Question: 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. Explain why do you think businesses do not purchase or lease ISDN channels?
Write efficient backtracking algorithm which inputs the integer N, and outputs all of the ways which a group of ascending positive numbers can be summed to N.
Katt wishes you to create an algorithm that, given a string X, determines efficiently how many ways X can be broken up into sequence of words.
Single grain of wheat was to be placed on the first square of chess board, two on second, four on third, eight on the fourth, and so on, until all 64 squares had been filled. What would ultimate result of this algorithm have been?
Calculate the median using as few queries as possible. Provide an algorithm which determines the median value using at most O(lg n) queries.
Compare the average behavior of insertion sort for n elements with that of the n insertions into an initially-empty straight array implementation of a priority queue
Design an algorithm based on BFS that either colors a graph with 2 colors or determines that two colors are not sufficient.
Find the shortest path tree from every node to node 1for the graph of following figure using Bellman-Ford and Dijkstra algorithm.
Consider a modification of the rod-cutting problem in which, in addition to a price pi for each rod, each cut incurs a fixed cost of c. Give a dynamic-programming algorithm to solve this modified problem.
You have to design an O(n) time randomized Monte Carlo algorithm which computes an (1 + o)- approximate ham-sandwich cut with probability 1 - n-c for any given constant c > 0.
Calculate the worst-case run-time complexity of your algorithm and prove optimality of the solution it gives. Suppose that the road is a straight line with a western end and an eastern end.
Consider adaptive playout delay algorithm. Demonstrate through simple example which adjusting playout delay at beginning of each talk spurt results in compressing
Data structures for a single algorithm
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