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hwk8 - Fall 2011 CMSC 351 Homework 8 Clyde Kruskal Due at...

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Fall 2011 CMSC 351: Homework 8 Clyde Kruskal Due at the start of class Wednesday, November 9, 2011. Problem 1. Illustrate the operation of radix sort on the following list of English words: ilk, elf, jig, leg, elk, fig, ill, gel, eke, egg, gig, ell Problem 2. Suppose that you are given n red and n blue water jugs, all of different shapes and sizes. All red jugs hold different amounts of water, as do all blue ones. Moreover, for every red jug, there is a blue jug that holds the same amount of water, and vice versa. It is your task to find a grouping of the jugs into pairs of red and blue jugs that hold the same amount of water. To do so, you may perform the following operation: pick a pair of jugs in which one is red and one is blue, fill the red jug with water, and then pour the water into the blue jug. This operation will tell you whether the red or the blue jog can hold more water, or if they are of the same volume. Assume that such a comparison takes one time unit. Your goal is to find an algorithm that makes a minimum number of comparisons to determine the grouping. Remember that you
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