
Java: An Introduction to Problem Solving and Programming (7th Edition)
7th Edition
ISBN: 9780133766264
Author: Walter Savitch
Publisher: PEARSON
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Chapter 12, Problem 2PP
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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.
Please Show an Example in R:
Find (or invent) some data (not from the “Data” directory supplied with EssentialR) and import it into R. (It is not a bad idea to include a commented line with units for each variable in your .txt or.csv file). a) What did you have to do to “clean it up” so it would read in? b) Are you satisfied with the console output of summary(yourdata)? Did all the variables import in the way (format) you thought they should? c) Include the output of summary(yourdata) and head(yourdata).
Chapter 12 Solutions
Java: An Introduction to Problem Solving and Programming (7th Edition)
Ch. 12.1 - Suppose aList is an object of the class...Ch. 12.1 - Prob. 2STQCh. 12.1 - Prob. 3STQCh. 12.1 - Prob. 4STQCh. 12.1 - Can you use the method add to insert an element at...Ch. 12.1 - Prob. 6STQCh. 12.1 - Prob. 7STQCh. 12.1 - If you create a list using the statement...Ch. 12.1 - Prob. 9STQCh. 12.1 - Prob. 11STQ
Ch. 12.1 - Prob. 12STQCh. 12.2 - Prob. 13STQCh. 12.2 - Prob. 14STQCh. 12.2 - Prob. 15STQCh. 12.2 - Prob. 16STQCh. 12.3 - Prob. 17STQCh. 12.3 - Prob. 18STQCh. 12.3 - Prob. 19STQCh. 12.3 - Write a definition of a method isEmpty for the...Ch. 12.3 - Prob. 21STQCh. 12.3 - Prob. 22STQCh. 12.3 - Prob. 23STQCh. 12.3 - Prob. 24STQCh. 12.3 - Redefine the method getDataAtCurrent in...Ch. 12.3 - Repeat Question 25 for the method...Ch. 12.3 - Repeat Question 25 for the method...Ch. 12.3 - Repeat Question 25 for the method...Ch. 12.4 - Revise the definition of the class ListNode in...Ch. 12.4 - Prob. 30STQCh. 12 - Repeat Exercise 2 in Chapter 7, but use an...Ch. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Repeat Exercises 6 and 7 in Chapter 7, but use an...Ch. 12 - Write a static method removeDuplicates...Ch. 12 - Write a static method...Ch. 12 - Write a program that will read sentences from a...Ch. 12 - Repeat Exercise 12 in Chapter 7, but use an...Ch. 12 - Write a program that will read a text file that...Ch. 12 - Revise the class StringLinkedList in Listing 12.5...Ch. 12 - Prob. 12ECh. 12 - Write some code that will use an iterator to...Ch. 12 - Prob. 14ECh. 12 - Write some code that will use an iterator to...Ch. 12 - Prob. 17ECh. 12 - Revise the method selectionSort within the class...Ch. 12 - Repeat the previous practice program, but instead...Ch. 12 - Repeat Practice Program 1, but instead write a...Ch. 12 - Write a program that allows the user to enter an...Ch. 12 - Write a program that uses a HashMap to compute a...Ch. 12 - Write a program that creates Pet objects from data...Ch. 12 - Repeat the previous programming project, but sort...Ch. 12 - Repeat the previous programming project, but read...Ch. 12 - Prob. 9PPCh. 12 - Prob. 10PPCh. 12 - Prob. 11PPCh. 12 - Prob. 12PPCh. 12 - Prob. 13PPCh. 12 - Prob. 14PPCh. 12 - Prob. 15PP
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- 7. Convert Standard POS form to Canonical POS form. (A+B)(A+ C)(B+C) 8. Given that F(a, b, c, d) = Σm(1, 3, 4, 6, 8, 9, 12), (i) Write the product of maxterms (canonical POS) for F. (ii) Write the canonical SOP and canonical POS for F.arrow_forward1. Evaluate the following expression when A = 1, B = O, C = 1, D = 0 F = AB + CD + (A + B)C 2. Find F, the complement of function F, Write your answer using overbars. F(W, X, Y, Z) = WX + YZ +XZ 3. Determine the truth table for the function F = XY+XZ 4. Show with a truth table that the following is true: X(YZ) = XY+XZarrow_forward. 6. Find the dual of the Boolean expressions. (swap + with and O with 1; do not complement variables). a) A + BC b) (X + Y)(X + Z) c) P+Q+ RSarrow_forward
- 5. Simplify the following Boolean expression. Show each simplification step and identity used. a) ABAB + ABC b) (MN)(M + P) + MParrow_forwardBoolean Algebra HW #4 Show all intermediate steps (truth tables, algebraic steps, and justifications such as identities or theorems) for full credit. 1. Evaluate the following expression when A = 1, B = O, C = 1, D = 0 F = AB + CD + (A+B)C 2. Find F, the complement of function F, Write your answer using overbars. F(W,X,Y,Z) = WX+YZ+XZ 3. Determine the truth table for the function F=XY+XZ 4. Show with a truth table that the following is true: X(Y+Z) = XY+XZ 5. Simplify the following Boolean expression. Show each simplification step and identity used. a) AB + AB + ABC b) (M+N)(M + P) + MP 6. Find the dual of the Boolean expressions. (swap + with and O with 1; do not complement variables). a) ABC b) (X + Y)(X + Z) c) P+Q+ RS 7. Convert Standard POS form to Canonical POS form. • (A+B)(Ā + C) (B+C) 8. Given that F(a, b, c, d) = Em(1, 3, 4, 6, 8, 9, 12) (i) Write the product of maxterms (canonical POS) for F. (ii) Write the canonical SOP and canonical POS for F.arrow_forwardConsider the following statement, which is intended to assign the value of the expression, the variable result Assume that the double variables. x-ya and b have been properly declared and initialized. (xy) to double result = missing code /: 17 Mark for Review Which of the following can replace / missing code / so that the statement works as intended? Math.sqrt((x + y) 2/ Math.abs(a, b)) Math.sqrt((x + y) 2/ Math.abs(a - b)) Math.sqrt(Math.pow(x + y, 2) / Math. abs(a, b)) Math.sqrt(Math.pow(x + y, 2) / Math.abs (a - b))arrow_forward
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- G Consider the following code segment, which is intended to assign to num a random integer value between min and max, inclusive, each with an equal chance of being assigned to num. Assume that min and max are integer variables and that the value of max is greater than the value of min. 24 Mark for Review Which of the following can replace /* missing code */ so that the code segment works as intended? double rn = Math.random();_ int num = /* missing code */ ;_ D (int) (rn * max) + min ABC (A) (int) (rn * (max- min)) + min (B (int) (rn * (max min)) + 1 (int) (rn * (max min + 1)) + minarrow_forwardWrite the truth table for each of the following logic functions: (a) FX Y+X'. Y'. Z (b) FW' X + Y' · Z' + X' · Z (c) F=W+X' · (Y' + Z) . . (d) F A B+ B' C+C' D + D' A .arrow_forwardUse the theorems of switching algebra to simplify each of the following logic functions: (a) F W X Y Z (W X Y . Z'+W X Y Z (b) FA B+ A . B C D+A B.D. E' + A B C W X Y Z+W X Y' - Z) E + C D E .arrow_forward
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