4.html - Hints to Written Assignment 3 CSc401 Spring 2007 Chapters 4 and 5 Chapter 4 Sorting Sets and Selection 1(Exercise R-4.5 Suppose we are given

4.html - Hints to Written Assignment 3 CSc401 Spring 2007...

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Hints to Written Assignment 3, CSc401, Spring 2007 Chapters 4 and 5 Chapter 4: Sorting, Sets, and Selection 1. (Exercise R-4.5) Suppose we are given two n-element sorted sequences A and B that should not be viewed as sets (that is, A and B may contain duplicate entries). Describe an O(n)-time method (algorithm) for computing a sequence representing the set A B (with no duplicates). Hint : Merge sequences A and B into a new sequence C (i.e., call merge(A, B, C)). Do a linear scan through the sequence C removing all duplicate elements (i.e., if the next element is equal to the current element, remove it). 2. (Exercise C-14) Suppose we are given a sequence S of n elements, each of which is an integer in the range [0, n 2 -1]. Describe a simple method (algorithm) for sorting S in O(n) time. Hint : Think of alternate ways of viewing the elements. Hint: To sort S, do a radix sort on the bits of each of the n elements, viewing them as pairs (i, j) such that i and j are integers in the range [0, n-1].
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