Another way to analyze randomized quick-sort is to use a recurrence equation. In this case, we let
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where bn is the time needed to partition a list for a given pivot and concatenate the result sublists after the recursive calls return. Show, by induction, that T(n) is O(nlogn).
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|T (n) <;(T (3n/4)+T(n/4))+;(T(n– 1))+bn,
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We will show that Tn cnlog n for some constant c 0 by induction Section 443 By the definition of goo...View the full answer
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Related Book For
Data Structures and Algorithms in Java
ISBN: 978-1118771334
6th edition
Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
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