Solved Solve the following recurrence relations and give a Θ PDF

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Algorithms (1st Edition)

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Solutions for Chapter 0 Problem 2

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Problem 2: In each of the following situations, indicate whether f = O … Hitansh S.

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Chapter:

CH0

Problem:

1

74% (31 ratings)

In each of the following situations, indicate whetherf = O (g), or f = Ω(g), or both (in which casef = Θ(g)).

f (n )

g (n)

(a) n - 100

n - 200

(b) n1/2

n2/3

(c) 100n + log nn + (log n)2 (d) n log n

10 n log 10n

(e) log2n

log3n

( f) 10 log n

log(n2)

(g) n 1.01

n log2 n

(h) n 2 / log n

n(log n)2

(i) n 0.1

(log n )10

(j) (log n)log n n/ log n (k)

(log n )3

(l) n 1/2

5log2 n

(m)n 2n

3n

( n) 2 n

2n+1

(o) n !

2n

(p) (log n)log n 2(log2 n)2 (q)

nk+1

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Corresponding Textbook Algorithms | 1st Edition

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ISBN-13:

9780073523408

ISBN:

0073523402

Authors:

Christos Papadimitriou, Christos H. Papadimitriou, Sanjoy Dasgupta, Umesh Vazirani

Alternate ISBN: 9780077388492

31

1

33

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Solutions by Chapter Chapter 0

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

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