Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 9, Problem 4P

(a)

Program Plan Intro

T give an exact expression for E[Xijk] .

(b)

Program Plan Intro

To show that. E[Xk]2(i=1kj=kn1 ji+1+j=k+1n jk1 jk+1+i=1k2 ki1 ki+1) .

(c)

Program Plan Intro

To show that E[Xk]4n .

(d)

Program Plan Intro

To conclude that RANDOMIZED-SELECT runs in expected time O(n) .

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