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HW2 - Computer Science 830 Design and Theory of Algorithms...

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Computer Science 830: Design and Theory of Algorithms Homework #2 Due Feb. 4 th 2008, 3pm Each problem should be solved on a separate sheet of paper to facilitate grading. Limit the solution of each problem to one side of a sheet of paper. Please don't wait until the last minute to look at the problems. 1. Use the partitioning step of quicksort to give an algorithm that finds the median element of an unsorted array of n integers in expected O(n) time. 2. Outline a reasonable method of solving each of the following problems. Give a tight bound on the worst-case complexity of your methods. You may describe your algorithm in a common programming language, in pseudocode, or in English, but please be sure to be thorough. a. You are given an unsorted list of m stocks that you are investing in, and a sorted list of all n stocks available, saying if they have gone up or down today. Determine how many of your stocks have dropped.
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