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 3P

(a)

Program Plan Intro

To describe an algorithm that uses Ui(n) comparisons to find the ith smallest of n -elements where Ui(n)={T(n)n/2+Ui(n/2)+T(2i)in/2otherwise} .

(b)

Program Plan Intro

To show that Ui(n)=n+O(T(2i)lg(n/i)) if i<n/2 .

(c)

Program Plan Intro

To show that Ui(n)=n+O(lgn) if i is a constant less than n/2 .

(d)

Program Plan Intro

To show that Ui(n)=n+O(T(2n/k)lgk) if i=n/k for k2 .

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