
MyLab Programming with Pearson eText -- Access Card -- for Introduction to Java Programming and Data Structures, Comprehensive Version
11th Edition
ISBN: 9780134672816
Author: Liang
Publisher: PEARSON
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Chapter 4, Problem 4.22PE
(Check substring) Write a
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Objective
Implement Bottom-Up Iterative MergeSort and analyze its efficiency compared to
recursive MergeSort. Unlike the recursive approach, which involves multiple function
calls and stack overhead, the bottom-up version sorts iteratively by merging small
subarrays first, reducing recursion depth and improving performance.
Task
1. Implement Bottom-Up Iterative MergeSort
о Start with single-element subarrays and iteratively merge them into larger
sorted sections.
Use a loop-based merging process instead of recursion.
○ Implement an efficient in-place merging strategy if possible.
2. Performance Analysis
Compare execution time with recursive MergeSort on random, nearly
sorted, and reversed datasets.
○ Measure and plot time complexity vs. input size.
O
Submission
Explain why the iterative version reduces function call overhead and when
it performs better.
•
Code implementation with comments.
•
A short report (1-2 pages) comparing performance.
•
Graph of execution time vs. input size for…
Année scolaire: 2024/2025
Collège SMARA
Devoir à domicile 1 semestre 2
Prof: NILAJ
PHYSIQUE CHIMIE
Nom et Prénom:
Niveau: 3APIC
Exercice 1:
Durée: 1 heure
1) Donner la définition des termes suivantes?
Le Mouvement :
La vitesse moyenne:
2) Répondre par « Vrai » ou «>
Un objet peut être en mouvement et au repos
Si la vitesse est constante, le mouvement sera uniforme.
3) Compléter les phrases par les termes qui conviennent :
Pour déterminer le mouvement ou le repos d'un objet, vous devez choisir un autre objet appelé le
d'un point d'un corps mobile est l'ensemble des positions qu'il
occupe durant son mouvement.
Il y a trois types de trajectoires: circulaire.
La distance de freinage dépend de
4) Cocher la bonne réponse?
> La relation entre la vitesse, la distance et le temps:
d
Vm = dxt
> L'unité internationale de la vitesse moyenne est :
m/s
5) On considère la figure suivante :
Compléter le tableau par les mots suivants :
En mouvement au repos
A
C
Km/h
et
et l'
m. s-1
15
A
B
C
Sol…
5. Here is a tree corresponding to T(64) for an unknown recurrence relation:
32 + lg 64
8+ lg 16
2+ lg 4
2+lg4
2+lg4
8+ lg 16
2+lg4
7
7
7
7
7
7
7
7
Fill in the details for the corresponding recurrence relation:
T(n) =
T(n/4)+
T(1)=
Put scratch work below. Scratch work is not graded but may be used for regrade
partial credit.
Chapter 4 Solutions
MyLab Programming with Pearson eText -- Access Card -- for Introduction to Java Programming and Data Structures, Comprehensive Version
Ch. 4.2 - Evalute the following method calls: (a)...Ch. 4.2 - True or false? The argument for trigonometric...Ch. 4.2 - Write a statement that converts 47 degrees to...Ch. 4.2 - Write a statement that converts PI to an angle in...Ch. 4.2 - Write an expression that obtains a random integer...Ch. 4.2 - Prob. 4.2.6CPCh. 4.2 - Prob. 4.2.7CPCh. 4.3 - Use print statements to find out the ASCII code...Ch. 4.3 - Which of the following are correct literals for...Ch. 4.3 - How do you display the characters \ and "?
Ch. 4.3 - Evaluate the following: Int i = '1'; int j ='1' +...Ch. 4.3 - Can the following conversions involving casting be...Ch. 4.3 - Show the output of the following program: public...Ch. 4.3 - Write the code that generates a random lowercase...Ch. 4.3 - Show the output of the following statements:...Ch. 4.4 - Suppose s1, s2, and s3 are three strings, given as...Ch. 4.4 - Prob. 4.4.2CPCh. 4.4 - Show the output of the following statements (write...Ch. 4.4 - Prob. 4.4.4CPCh. 4.4 - Let s1 be " Welcome " and s2 be " welcome ". Write...Ch. 4.4 - Write one statement to return the number of digits...Ch. 4.4 - Write one statement to return the number of digits...Ch. 4.5 - If you run Listing 4.3 GuessBirthday.java with...Ch. 4.5 - If you enter a lowercase letter such as b, the...Ch. 4.5 - What would be wrong if lines 6 and 7 are in...Ch. 4.6 - Prob. 4.6.1CPCh. 4.6 - Prob. 4.6.2CPCh. 4.6 - Show the output of the following statements: (a)...Ch. 4 - (Geometry: area of a pentagon) Write a program...Ch. 4 - (Geometry: great circle distance) The great circle...Ch. 4 - (Geography: estimate areas) Use the GPS locations...Ch. 4 - (Geometry: area of a hexagon) The area of a...Ch. 4 - (Geometry: area of a regular polygon) A regular...Ch. 4 - (Random points on a circle) Write a program that...Ch. 4 - (Corner point coordinates) Suppose a pentagon is...Ch. 4 - (Find the character of an ASCII code) Write a...Ch. 4 - (Find the Unicode of a character) Write a program...Ch. 4 - (Guess birthday) Rewrite Listing 4.3,...Ch. 4 - (Decimal to hex) Write a program that prompts the...Ch. 4 - (Hex to binary) Write a program that prompts the...Ch. 4 - (Vowel or consonant?) Write a program that prompts...Ch. 4 - (Convert Letter grade to number) Write a program...Ch. 4 - (Phone key pads) The international standard...Ch. 4 - (Random character) Write a program that displays a...Ch. 4 - (Days of a month) Write a program that prompts the...Ch. 4 - (Student major and status) Write a program that...Ch. 4 - (Business: check ISBN-10) Rewrite Programming...Ch. 4 - (Process a string) Write a program that prompts...Ch. 4 - (Check SSN) Write a program that prompts the user...Ch. 4 - (Check substring) Write a program that prompts the...Ch. 4 - 23 (Financial application: payroll) Write a...Ch. 4 - (Order three cities) Write a program that prompts...Ch. 4 - (Generate vehicle plate numbers) Assume that a...Ch. 4 - (Financial application: monetary units) Rewrite...
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