
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Textbook Question
Chapter 22.5, Problem 22.5.2CP
Why is the recursive Fibonacci
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1. Consider the NFA defined by the state diagram below. Follow the algorithm seen in
class and in our textbook to construct an equivalent DFA. Please only include the
states reachable (in one or more transitions) from the start state. (Your solution can
be either the table or the state diagram, or both if you wish.)
a
ε, b
b
a
a
92
91
8
93
b
a, b
-
a) Answer these Theoretical Questions:
1. Explain the rule of thumb for the Big O. Provide at least one example of applying each rule.
2. What is the Big O of each of the following functions?
a) (n + 1)³/n
b) (n³ + logзn) ³/n
c) n + 100n³ + n
d) 3n+ 100n3 + 3n
*
e) n 3n+ n * 33n
3. Describe an algorithm for finding the occurrence of the max element in an array. Analyze the
complexity of the algorithm.
4. What is Divide-and-Conquer? What is the difference between Divide-and-Conquer and Dynamic
Programming? What are the benefits of using one over another if any?
5. Is it possible to design an algorithm for finding the max element in a list using Divide-and-Conquer?
What is the complexity of this algorithm?
Hint: In this approach, the initial array is divided into two halves...
b) Programming assignment:
Implement initiative / naïve method to find a max element in an array.
Implement the method that uses the Divide-and-Conquer approach to find the max element in an array.
Test both…
9. Given the following Boolean Function:
F(P, Q, R) = PQ+QR+PR
F(P,Q,R)
(i) Derive the canonical SOP (sum of minterms) for F.
(ii) Derive the canonical POS (product of maxterms) for F.
(iii) Draw the truth table, clearly marking which rows are minterms of F and
which rows correspond to maxterms of F.
10) For n Boolean variables, how many distinct Boolean functions exist? Give the answer as a
function of n and briefly justify it.
Chapter 22 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 22.2 - Prob. 22.2.1CPCh. 22.2 - What is the order of each of the following...Ch. 22.3 - Count the number of iterations in the following...Ch. 22.3 - How many stars are displayed in the following code...Ch. 22.3 - Prob. 22.3.3CPCh. 22.3 - Prob. 22.3.4CPCh. 22.3 - Example 7 in Section 22.3 assumes n = 2k. Revise...Ch. 22.4 - Prob. 22.4.1CPCh. 22.4 - Prob. 22.4.2CPCh. 22.4 - Prob. 22.4.3CP
Ch. 22.4 - Prob. 22.4.4CPCh. 22.4 - Prob. 22.4.5CPCh. 22.4 - Prob. 22.4.6CPCh. 22.5 - Prob. 22.5.1CPCh. 22.5 - Why is the recursive Fibonacci algorithm...Ch. 22.6 - Prob. 22.6.1CPCh. 22.7 - Prob. 22.7.1CPCh. 22.7 - Prob. 22.7.2CPCh. 22.8 - Prob. 22.8.1CPCh. 22.8 - What is the difference between divide-and-conquer...Ch. 22.8 - Prob. 22.8.3CPCh. 22.9 - Prob. 22.9.1CPCh. 22.9 - Prob. 22.9.2CPCh. 22.10 - Prob. 22.10.1CPCh. 22.10 - Prob. 22.10.2CPCh. 22.10 - Prob. 22.10.3CPCh. 22 - Program to display maximum consecutive...Ch. 22 - (Maximum increasingly ordered subsequence) Write a...Ch. 22 - (Pattern matching) Write an 0(n) time program that...Ch. 22 - (Pattern matching) Write a program that prompts...Ch. 22 - (Same-number subsequence) Write an O(n) time...Ch. 22 - (Execution time for GCD) Write a program that...Ch. 22 - (Geometry: gift-wrapping algorithm for finding a...Ch. 22 - (Geometry: Grahams algorithm for finding a convex...Ch. 22 - Prob. 22.13PECh. 22 - (Execution time for prime numbers) Write a program...Ch. 22 - (Geometry: noncrossed polygon) Write a program...Ch. 22 - (Linear search animation) Write a program that...Ch. 22 - (Binary search animation) Write a program that...Ch. 22 - (Find the smallest number) Write a method that...Ch. 22 - (Game: Sudoku) Revise Programming Exercise 22.21...Ch. 22 - (Bin packing with smallest object first) The bin...Ch. 22 - Prob. 22.27PE
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