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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The analysis of the expected running time of randomized quicksort in Section 7.4.2assumes that all element values are distinct. In this problem, we examine whathappens when they are not.a. Suppose that all element values are equal. What would be randomized quicksort’srunning time in this case?b. The PARTITION procedure returns an index q such that each element ofAOEp : : q 1 is less than or equal to AOEq and each element of AOEq C 1: : ris greater than AOEq. Modify the PARTITION procedure to produce a procedurePARTITION0.A; p; r/, which permutes the elements of AOEp : : r and returns twoindices q and t, where p q t r, such that all elements of AOEq : : t are equal, each element of AOEp : : q 1 is less than AOEq, and each element of AOEt C 1: : r is greater than AOEq.Like PARTITION, your PARTITION0 procedure should take ‚.r p/ time.
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