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Assume you have an array A of n items, and you want to find the k items in A closest to the median of A. For example, if A contains the 9 values {7, 14, 10, 12, 2, 11, 29, 3, 4} and k = 5, then the answer would be the values {7, 14, 10, 12, 11}, since the median is 10 and these are the five values in A closest to the value 10. Give an algorithm to solve this problem in O(n) time, and explain why your algorithm runs in O(n) time. You may use the selection algorithms discussed in the book and the notes as subroutines of your solution. (Hint: you may want to call the selection algorithm more than once.)
Algorithm that will receive two integer items from a terminal operator, and display to the screen their sum, difference, product and quotient.
So that every house is within four miles of one of the base stations. Write efficient algorithm that achieves this goal, using as few base stations as possible.
Given connected undirected graph G described by the adjacency list representation create the efficient algorithm to find the path in G which goes through exactly once in each direction.
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?
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.
Implement a queue as a circular array as follows: Use two index variables head and tail that contain the index of the next element to be removed and the next element to be added.
Determine the total number of keys that are needed for organization if symmetric cipher is used.
Consider adaptive playout delay algorithm. Demonstrate through simple example which adjusting playout delay at beginning of each talk spurt results in compressing
Our goal is to plan this trip so that we minimize the maximum amount of walking done in a single day. Your algorithm should be based on dynamic programming and run efficiently.
Addition and Subtraction of numbers in binary and round to the nearest decimal number with three significant decimal digits
Explain advantages and disadvantages of new algorithm compared with eager decision tree algorithm, and advantages and disadvantages of new algorithm compared with lazy kNN algorithm.
Explain the following sorting techniques using appropriate algorithms- (i) selection sort (ii) bubble sort
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