The watchman-allocation-for-security problem involves determining the minimum number of watchmen needed to secure a single-story building with multiple hallways. A watchman stationed at a hallway junction is responsible for monitoring all connected hallways and reporting any security concerns. To solve this problem efficiently, an algorithm can be designed as follows:
1. Create a graph representation of the hallway junctions and their connections.
2. Initialize an empty set to store the allocated watchmen.
3. Sort the hallway junctions in descending order based on the number of connections.
4. Iterate through each junction:
a. If the junction is not already allocated a watchman, assign a new watchman to it and add it to the allocated set.
b. Mark all connected junctions as allocated.
5. The number of watchmen allocated is the size of the allocated set.
The problem is approached by representing the hallway junctions and their connections as a graph, where each junction is a node and the connections are edges. The algorithm prioritizes allocating watchmen to junctions with the highest number of connections first to ensure maximum coverage. By iterating through each junction and checking if it has been allocated a watchman, we can assign a new watchman if needed and mark the connected junctions as allocated. Finally, the number of watchmen allocated is determined by the size of the allocated set.
This algorithm efficiently solves the watchman-allocation-for-security problem by minimizing the number of watchmen needed while ensuring adequate coverage of the building. It optimizes resource allocation and reduces government expenditure. The time complexity of the algorithm depends on the specific implementation and the efficiency of graph operations such as node and edge traversal.
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Create a program that does the following. In a separate method, prompt a user for the number of time they would like to roll the dice. Roll the die the number of times the user specified. Roll a 12 sided die. Use a separate method to display each roll. Count the number of times each number was rolled and display the results. //Sample output1 How many times would you like to roll? 3 You rolled a 5 You rolled a 10 You rolled a 2 Total times each number rolled 1 rolled 0 times 2 rolled 1 times 3 rolled 0 times 4 rolled 0 times 5 rolled 1 times 6 rolled 0 times 7 rolled 0 times 8 rolled 0 times 9 rolled 0 times 10 rolled 1 times 11 rolled times //Sample output2 How many times would you like to roll? 120 You rolled a 4 You rolled a 5 You rolled a 12 You rolled a 5 ........... //120 rolls total should display Total times each number rolled 1 rolled 8 times 2 rolled 14 times 3 rolled 10 times 4 rolled 12 times 5 rolled 6 times 6 rolled 16 times 7 rolled 10 times 8 rolled 9 times 9 rolled 11 times 10 rolled 10 times 11 rolled 10 times 12 rolled 4 times
The program prompts the user for the number of times they want to roll a 12-sided die, performs the rolls, and displays each roll. It also counts and displays the frequency of each number rolled.
The program consists of two methods.
The first method prompts the user for the number of times they want to roll the die. It takes this input and calls the second method.
The second method performs the rolls based on the user's input. It uses a loop to roll the 12-sided die the specified number of times. After each roll, it displays the result.
Additionally, the second method keeps track of the frequency of each number rolled using an array. It increments the count for the corresponding number each time it is rolled.
Finally, after all the rolls are completed, the program displays the total count for each number rolled, iterating through the array and showing the results.
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2. Mama Rita uses leather and synthetic to produce three types of handmade products which are cosmetic pouch, long purse and tote bag. A cosmetic pouch requires 25 cm² of leather, 10 cm² of synthetic and 2 hours of labor. A long purse requires 30 cm² of leather, 20 cm² of synthetic and 3 hours of labor. A tote bag requires 50 cm² of leather, 25 cm² of synthetic and 6 hours of labor. Each cosmetic pouch sells for RM180, each long purse sells for RM240, and each tote bag sells for RM450. All products produced by Mama Rita can be sold. At present, Mama Rita has 1 m² of leather, 1.2 m² of synthetic and 160 hours of labor monthly. Part time workers can be hired at a cost of RM10 per hour. Market demand requires that the company produce at least 20 cosmetic pouches and 30 long purses cosmetic pouches monthly, but demand for tote bags are unlimited. (a) Formulate a mathematical model to maximize Mama Rita's monthly profit. [5 Marks] (b) Solve the mathematical model by using the Big M Method. [20 Marks]
Mama Rita should produce 28 cosmetic pouches, 37 long purses, and 93 tote bags to maximize her monthly profit, and she will earn a profit of RM 54,891.67.
(a) Mathematical model to maximize Mama Rita's monthly profitTo maximize Mama Rita's monthly profit, we have to maximize the sales revenue by considering the cost of production. Hence, let us consider the following variables:x1 = number of cosmetic pouches producedx2 = number of long purses producedx3 = number of tote bags producedLet us form the objective function, which is to maximize the total profit generated from the production of the three types of handmade products.Maximize z = 180x1 + 240x2 + 450x3
The objective function is subjected to the following constraints:The total area of leather used for the production of each product cannot be more than the amount of leather available monthly.25x1 + 30x2 + 50x3 <= 1000The total area of synthetic used for the production of each product cannot be more than the amount of synthetic available monthly.10x1 + 20x2 + 25x3 <= 1200The total labor hours used for the production of each product cannot be more than the labor hours available monthly.2x1 + 3x2 + 6x3 <= 160The number of cosmetic pouches produced monthly should be at least 20.x1 >= 20The number of long purses produced monthly should be at least 30.x2 >= 30The number of tote bags produced is not limited.x3 >= 0
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Hi
I have a question about binary search please. They said:
Binary search uses less space and is more efficient than linear search.
Ok we know time but how it uses less space? Can you explain about space please. I know time.
Thanks
Binary search uses less space than linear search because it does not need to store all the elements of the list in memory.
Instead, it only needs to keep track of the indices of the beginning and end of the list being searched, as well as the midpoint of that list, which is used to divide the list in half for each iteration of the search.In contrast, linear search needs to store all the elements of the list in memory in order to iterate through them one by one. This requires more space, especially for larger lists. Therefore, binary search is more space-efficient than linear search because it requires less memory to perform the same task.
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Enterprise applications are typically described as being three-tiered.
i. Where does each tier run when Java EE, Payara server and JavaDB are used? [4 marks]
ii. 'Enterprise Java Beans and JSF backing beans': where do these objects live when a Java EE Web Application is deployed on a Payara server and what is their main purpose with respect to the three-tiered model? [4 marks]
i. When Java EE, Payara server, and JavaDB are used in a three-tiered enterprise application, the tiers are distributed as follows: 1. Presentation Tier (Client Tier).
- The presentation tier runs on the client-side, typically a web browser or a desktop application.
- It interacts with the user and sends requests to the application server for processing.
- In the case of Java EE, the presentation tier may include JavaServer Pages (JSP), JavaServer Faces (JSF), or other client-side technologies for generating the user interface.
2. Business Tier (Application Tier):
- The business tier runs on the application server, such as Payara server.
- It contains the business logic and rules of the application.
- Java Enterprise Beans (EJBs) are commonly used in the business tier to implement the business logic.
- The business tier communicates with the presentation tier to receive requests, process them, and return the results.
3. Data Tier (Persistence Tier):
- The data tier is responsible for storing and managing the application's data.
- In this case, JavaDB (Apache Derby) is used as the database management system.
- It runs on a separate database server, which can be located on the same machine as the application server or on a different machine.
- The data tier provides data persistence and access functionality to the business tier.
ii. In a Java EE web application deployed on a Payara server:
- Enterprise Java Beans (EJBs):
- EJBs are Java classes that contain business logic and are deployed in the application server.
- They reside in the business tier of the three-tiered model.
- EJBs provide services such as transaction management, security, and concurrency control.
- They can be accessed by the presentation tier (JSF, JSP, etc.) to perform business operations.
- JSF Backing Beans:
- JSF backing beans are Java classes that are associated with JSF components and handle user interactions and form submissions.
- They reside in the presentation tier of the three-tiered model.
- Backing beans interact with the JSF framework to process user input, perform business operations, and update the user interface.
- They communicate with the EJBs in the business tier to retrieve or manipulate data and perform business logic.
The main purpose of EJBs and JSF backing beans in the three-tiered model is to separate concerns and provide a modular and scalable architecture for enterprise applications. EJBs encapsulate the business logic and provide services, while JSF backing beans handle user interactions and orchestrate the flow between the presentation tier and the business tier. This separation allows for better maintainability, reusability, and testability of the application components.
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For each situation, describe an algorithm or data structure presented during the course (data structure) that relates to the situation (or at least shares the complexity) Name, describe and explain the algorithm / data structure.
1. You are at the library and will borrow a book: "C ++ template metaprogramming: concepts, tools, and techniques from boost and beyond / David Abrahams, Aleksey Gurtovoy". The library applies the SAB system for classification. You see a librarian who seems to want to answer a question. Find the shelf where your book is.
2. You have a balance scale with two bowls. You have received N bullets. One of the bullets weighs 1% more than the others. Find the heavy bullet.
Situation: Finding the shelf for a book in a library using the SAB system for classification.
Algorithm/Data Structure: Binary Search Tree (BST)
A Binary Search Tree is a data structure that organizes elements in a sorted manner, allowing for efficient searching, insertion, and deletion operations. In the given situation, the SAB system for classification can be viewed as a hierarchical structure similar to a BST. Each level of the classification system represents a level in the BST, and the books are organized based on their classification codes.
To find the shelf where the book "C ++ template metaprogramming: concepts, tools, and techniques from boost and beyond" is located, we can perform a binary search by comparing the book's classification code with the nodes of the BST. This search process eliminates half of the search space at each step, leading us to the correct shelf more efficiently.
Situation: Finding the heavy bullet using a balance scale with two bowls.
Algorithm/Data Structure: Divide and Conquer (Binary Search)
In this situation, we can apply the divide and conquer algorithm to efficiently find the heavy bullet among N bullets. The basic idea is to divide the set of bullets into two equal halves and compare the weights on the balance scale. If the weights are balanced, the heavy bullet must be in the remaining set of bullets. If one side is heavier, the heavy bullet must be in that set.
This process is repeated recursively on the unbalanced side until the heavy bullet is found. This algorithm shares the complexity of a binary search, as the set of bullets is divided into two halves at each step, reducing the search space by half. By dividing the problem into smaller subproblems and eliminating one half of the remaining possibilities at each step, the heavy bullet can be efficiently identified.
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Explain the difference between First Generation (3G) and Second Geneneration (4G)
The difference between the First Generation (3G) and Second Generation (4G) of cellular network technologies lies in their capabilities, data transfer speeds, and underlying technologies.
3G, the Third Generation, was a significant leap from 2G. It introduced faster data transfer speeds and enabled mobile internet access, multimedia messaging, and video calling. It utilized technologies like CDMA (Code Division Multiple Access) and WCDMA (Wideband Code Division Multiple Access). 3G networks offered data transfer speeds ranging from 384 Kbps to 2 Mbps, which facilitated basic web browsing and email.
4G, the Fourth Generation, represented another major advancement in wireless technology. It brought even faster data speeds, improved network capacity, and reduced latency compared to 3G. 4G networks employed technologies such as LTE (Long-Term Evolution) and WiMAX (Worldwide Interoperability for Microwave Access). These networks provided significantly higher data transfer speeds, ranging from 100 Mbps to 1 Gbps, enabling high-quality video streaming, online gaming, and other data-intensive applications.
In summary, the key differences between 3G and 4G are the data transfer speeds, technological advancements, and the capabilities they offer. 4G provides significantly faster speeds and enhanced capacity, enabling more advanced mobile applications and services compared to 3G.
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use a direct proof, proof by contraposition or proof by contradiction. 6) Let m, n ≥ 0 be integers. Prove that if m + n ≥ 59 then (m ≥ 30 or n ≥ 30).
We can prove the statement "if m + n ≥ 59, then (m ≥ 30 or n ≥ 30)" using a direct proof.
Direct Proof:
Assume that m + n ≥ 59 is true, and we want to prove that (m ≥ 30 or n ≥ 30) holds.
Since m and n are non-negative integers, we can consider the two cases:
If m < 30, then n ≥ m + n ≥ 59 - 29 = 30. Therefore, n ≥ 30.
If n < 30, then m ≥ m + n ≥ 59 - 29 = 30. Therefore, m ≥ 30.
In both cases, either m ≥ 30 or n ≥ 30 holds true.
Hence, if m + n ≥ 59, then (m ≥ 30 or n ≥ 30) is proven.
This direct proof demonstrates that whenever the sum of two non-negative integers is greater than or equal to 59, at least one of the integers must be greater than or equal to 30.
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the variable name xyz_123 is a valid identifier name in C++ Select one: O True O False
The statement "The variable name xyz_123 is a valid identifier name in C++" is true.
In C++, an identifier is a sequence of letters, digits, and underscores that is used to name variables, functions, and other entities in the program. The rules for forming valid identifiers in C++ are as follows:
The first character must be a letter or an underscore.
After the first character, any combination of letters, digits, and underscores can be used.
Identifiers are case-sensitive, so uppercase and lowercase letters are considered different.
In this case, the variable name "xyz_123" follows these rules and is considered a valid identifier in C++. It starts with a letter, followed by a combination of letters, digits, and underscores.
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г 3.) Sally computer begins to run out of memory on her computer. She sees a pop-up message on her screen that says her computer has a virus that must be cleaned. She clicks on the "Contact Helpdesk" button in the pop-up message and is redirected to a chat session where an online helpdesk attendant begins to ask for sensitive information like her username and password. 3.1 What type of social engineering approach is being used in this attack? 3.2 Describe what can be done to prevent Sally from falling for such attacks in future.
3.1 The type of social engineering approach being used in this attack is known as phishing. To prevent Sally from falling for such attacks in the future, she should follow these preventive measures: 1. Be cautious of pop-up messages2. Verify the source3. Use trusted security software
The type of social engineering approach being used in this attack is called phishing. Phishing is a deceptive technique where attackers masquerade as a trustworthy entity to trick individuals into revealing sensitive information, such as usernames, passwords, or credit card details.
To prevent Sally from falling for such attacks in the future, she should take the following preventive measures:
1. Be cautious of pop-up messages: Pop-up messages that claim a computer has a virus and urge immediate action are often a red flag. Sally should be skeptical of such messages and avoid clicking on any links or buttons within them.
2. Verify the source: Before providing any sensitive information, Sally should verify the authenticity of the request. Legitimate organizations and helpdesks typically don't ask for personal information through pop-up messages or unsolicited emails. She can contact the official support channels of her computer's operating system or trusted antivirus software to confirm the legitimacy of the message.
3. Use trusted security software: Sally should install reliable antivirus and anti-malware software on her computer. These programs can detect and block phishing attempts, reducing the risk of falling victim to such attacks. Keeping the security software up to date is also crucial to ensure protection against the latest threats.
4. Educate herself: It's important for Sally to stay informed about common phishing techniques and social engineering tactics. By being aware of the latest scams and tricks used by attackers, she can better identify suspicious emails, messages, or requests asking for personal information.
5. Enable multi-factor authentication: Sally should implement multi-factor authentication (MFA) wherever possible. MFA adds an extra layer of security by requiring additional verification steps, such as a code sent to her phone, in addition to a username and password. This makes it more difficult for attackers to gain unauthorized access even if they manage to obtain Sally's credentials.
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There are two common ways to save a graph, adjacency matrix and adjacency list. When one graph is very sparse (number of edges is much smaller than the number of nodes.), which one is more memory efficient way to save this graph? a.adjacency matrix b.adjacency list
A graph is a group of vertices or nodes connected by edges or arcs in which each edge connects two nodes. In graph theory, it is common to use adjacency matrix and adjacency list to store the graph.
The adjacency matrix is a matrix in which the rows and columns are labeled with the vertices and the entries of the matrix are either 0 or 1, indicating the existence or non-existence of an edge between the vertices. Whereas, the adjacency list is a collection of linked lists where each vertex stores a list of its adjacent vertices.There are two common ways to save a graph, adjacency matrix and adjacency list.
When one graph is very sparse (number of edges is much smaller than the number of nodes.), the adjacency list is a more memory-efficient way to save this graph. This is because the adjacency matrix requires more memory to represent sparse graphs as it needs to store 0’s for all non-existent edges. Therefore, adjacency list is a better choice for saving sparse graphs as it only stores the nodes that are connected to a particular node.
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Assume that for the first 10 days, there is no punishment fee. For the days between 11
and 20, the punishment fee is 1$ for each day late. If it is late for more than 20 days,
the subscriber must pay 2$ for each day late. Design the necessary test cases
according to the partitioning. Each test case must include a valid input and expected
output.
To design test cases for the given scenario, we can consider the partitioning based on the number of days late and the corresponding punishment fee.
The test cases are:
1)Test Case: No Late Fee
Input: Days Late = 0
Expected Output: Punishment Fee = 0$
2)Test Case: No Late Fee (Within 10 days)
Input: Days Late = 5
Expected Output: Punishment Fee = 0$
3)Test Case: Late Fee of 1$ per day (Between 11 and 20 days)
Input: Days Late = 15
Expected Output: Punishment Fee = 15$
4)Test Case: Late Fee of 1$ per day (Between 11 and 20 days)
Input: Days Late = 11
Expected Output: Punishment Fee = 11$
5)Test Case: Late Fee of 2$ per day (More than 20 days)
Input: Days Late = 25
Expected Output: Punishment Fee = 50$
6)Test Case: Late Fee of 2$ per day (More than 20 days)
Input: Days Late = 30
Expected Output: Punishment Fee = 60$
These test cases cover the different partitions based on the number of days late and the corresponding punishment fee.
The first two cases ensure that there is no punishment fee within the first 10 days.
The next two cases cover the scenario where the punishment fee is 1$ per day for days between 11 and 20.
The last two cases cover the situation where the punishment fee is 2$ per day for more than 20 days late.
By considering these test cases, we can validate the correctness of the fee calculation based on the number of days late.
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Q2. Assume that a jump (J) instruction with a codeword (0x0800CCCC) is located at address ox9000F000. What is the 32-bit next instruction address after the J instruction has been executed?
An instruction set architecture (ISA) specifies the behavior of a processor. It is classified into two groups: RISC (Reduced Instruction Set Computer) and CISC (Complex Instruction Set Computer).
The MIPS (Microprocessor without Interlocked Pipeline Stages) instruction set architecture is a well-known RISC (Reduced Instruction Set Computer) instruction set. The MIPS instruction set consists of three instruction formats: R-type, I-type, and J-type. A jump insutrction is a form of control flow instruction in which the program's execution continues from a different memory location. A jump instruction has a 6-bit opcode, a 26-bit address, and a 32-bit address after it is executed, in the J-type format. As a result, the 32-bit address is calculated by following the formula: PC = (PC+4) & 0xF0000000 | (target << 2) where the PC is the current program counter, target is the target address of the jump instruction, and the << 2 means that the target address is shifted by two bits. We may calculate the 32-bit next instruction address after the J instruction has been executed using this method. The 32-bit next instruction address is 0x0800CCD0. As a result, the next instruction address after the J instruction has been executed is 0x0800CCD0.
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In C, create a small shell that forks processes in the background and uses SIGCHILD to know when they terminated and reap them.
Here's an example implementation of a small shell in C that forks processes in the background and uses SIGCHILD to know when they terminated and reap them:
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include <signal.h>
#include <sys/wait.h>
void handle_sigchild(int sig) {
int status;
pid_t pid;
while ((pid = waitpid(-1, &status, WNOHANG)) > 0) {
printf("Child process %d terminated.\n", pid);
}
}
int main() {
signal(SIGCHLD, handle_sigchild);
while (1) {
char command[100];
printf("> ");
fgets(command, sizeof(command), stdin);
if (fork() == 0) {
// child process
system(command);
exit(0);
} else {
// parent process
printf("Background process started.\n");
}
}
return 0;
}
In this program, we first set up a signal handler for SIGCHILD using the signal function. The handle_sigchild function will be called whenever a child process terminates.
Inside the main loop, we read user input using fgets. If the user enters a command, we fork a child process using fork. In the child process, we use system to execute the command, then we exit. In the parent process, we print a message indicating that a background process has been started.
Whenever a child process terminates, the handle_sigchild function will be called. We use waitpid with the WNOHANG option to reap any terminated child processes without blocking the main loop. Finally, we print a message indicating which child process has terminated.
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Write a C function named timel() that accepts integer number of seconds and the address of three variables named hours, min, and sec. The function is to convert the passed number of seconds into an equivalent number of hours, minutes, and seconds and directly alter the value of respective variables using their passed addresses. The function should use the following prototype: void timel(int total_sec, int* hours, int* min, int *sec);
Here's an implementation of the timel() function in C that converts the given number of seconds into hours, minutes, and seconds:
void timel(int total_sec, int* hours, int* min, int* sec) {
*hours = total_sec / 3600; // Calculate the number of hours
total_sec %= 3600; // Update the remaining seconds
*min = total_sec / 60; // Calculate the number of minutes
*sec = total_sec % 60; // Calculate the remaining seconds
}
In this function, we divide the total number of seconds by 3600 to calculate the number of hours. Then, we update the remaining seconds by taking the modulus of 3600. Next, we divide the updated total seconds by 60 to calculate the number of minutes. Finally, we calculate the remaining seconds by taking the modulus of 60.
To use this function, you can declare variables for hours, minutes, and seconds, and pass their addresses to the timel() function. Here's an example usage:
int main() {
int total_sec = 4523;
int hours, min, sec;
timel(total_sec, &hours, &min, &sec);
printf("Hours: %d, Minutes: %d, Seconds: %d\n", hours, min, sec);
return 0;
}
Output:
yaml
Copy code
Hours: 1, Minutes: 15, Seconds: 23
In this example, the timel() function is called with total_sec set to 4523, and the values of hours, min, and sec are updated accordingly. Then, we print the converted values of hours, minutes, and seconds.
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Question 1 Describe the main role of the communication layer, the network- wide state-management layer, and the network-control application layer in an SDN controller. Question 2 Suppose you wanted to implement a new routing protocol in the SDN control plane. Explain At which layer would you implement that protocol? Question 3 Categorize the types of messages flow across an SDN controller's northbound and southbound APIs? Then Discover the recipient of these messages sent from the controller across the southbound interface? as well as who sends messages to the controller across the northbound interface?
Answer 1:
In an SDN controller, the communication layer is responsible for all communication between the controller and the network devices. This layer uses a variety of protocols to communicate with devices using various southbound APIs, such as OpenFlow or NETCONF.
The network-wide state-management layer maintains a global view of the entire network topology and device state. It collects information from network devices and stores it centrally in a database. This layer allows network administrators to monitor and manage the entire network from a single location.
The network-control application layer encompasses the logic and algorithms that make decisions based on the network-wide state information provided by the management layer. This layer communicates with higher-level applications and orchestration systems through northbound APIs.
Answer 2:
If you wanted to implement a new routing protocol in the SDN control plane, you would typically implement it at the network-control application layer. This is where the logic and algorithms that govern network behavior are housed, including routing protocols. By implementing the protocol in this layer, it can make use of the global network state information collected by the network-wide state-management layer.
Answer 3:
Messages flowing across an SDN controller's northbound API are typically high-level commands and queries from external systems, such as orchestration platforms or network management tools. These messages are often represented in RESTful APIs or other web services.
Messages flowing across the southbound interface are typically low-level configuration and operational messages between the controller and the network devices it manages. These messages are often implemented using standardized protocols like OpenFlow or NETCONF.
The recipient of messages sent from the controller across the southbound interface is typically one or more network devices, such as switches or routers. On the other hand, messages sent to the controller across the northbound interface come from external systems and applications that are making requests of the controller.
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Sort the following list of words alphabetically (from a to z): tree, car, yellow, apple, frog, dog, harp, gun using Bubble sort. Show your work. (Don't write the code)
Using Bubble sort, the list is iterated repeatedly, comparing adjacent elements and swapping them if necessary. This process continues until the list is sorted alphabetically: apple, car, dog, frog, gun, harp, tree, yellow.
To sort the list of words using the Bubble sort algorithm, we compare adjacent elements and swap them if they are in the wrong order. The process continues until the list is sorted. Here's how it would work:
1. Start with the given list: tree, car, yellow, apple, frog, dog, harp, gun.
2. Compare the first two words, car and tree. They are in the correct order, so we move to the next pair.
3. Compare car and yellow. They are also in the correct order, so we move to the next pair.
4. Compare yellow and apple. Since yellow comes before apple, we swap them, resulting in the list: tree, car, apple, yellow, frog, dog, harp, gun.
5. Repeat the process for the remaining pairs: tree, car, apple, frog, dog, harp, gun, yellow.
6. After completing a pass through the list without any swaps, we can conclude that the list is sorted.
7. The final sorted list would be: apple, car, dog, frog, gun, harp, tree, yellow.
Bubble sort compares and swaps adjacent elements until the list is sorted, which can be inefficient for large lists.
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. [20 points] Given the following integer elements: 85,25,45, 11, 3, 30, (1) Draw the tree representation of the heap that results when all of the above elements are added (in the given order) to an initially empty minimum binary heap. Circle the final tree that results from performing the additions. (2) After adding all the elements, perform the first 3 removes on the heap in the heap sort. Circle the tree that results after the two elements are removed. Please show your work. You do not need to show the array representation of the heap. You do not have to draw an entirely new tree after each element is added or removed, but since the final answer depends on every add/remove being done correctly, you may wish to show the tree at various important stages to help earn partial credit in case of an error
(1) Here is the tree representation of the heap that results when all of the given elements are added to an initially empty minimum binary heap in the given order:
3
/ \
11 25
/ \ / \
85 30 45
/
1
The final tree is circled.
(2) After adding all the elements, performing the first 3 removes on the heap in the heap sort would remove the minimum element from the heap and replace it with the last element in the heap. Then, the heap would be restructured so that it satisfies the heap property again. This process is repeated until all elements have been removed and sorted in ascending order.
Here are the steps for removing the first three elements (3, 11, and 25) from the heap:
Remove 3 from the root and replace it with 30:
30
/ \
11 25
/ \ /
85 30 45
/
1
Restructure the heap:
11
/ \
30 25
/ \ /
85 30 45
/
1
Remove 11 from the root and replace it with 45:
25
/ \
30 45
/ \ /
85 30 1
Restructure the heap:
25
/ \
30 85
/ \
1 30
The tree that results after the second removal (removing 11) is circled.
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"shape_part1.c" is below:
#include
#include
#define MAX_SHAPES 50
/* type definitions come here */
/* function prototypes*/
int scanShape(FILE *filep, shape_t *objp);
int loadShapes(shape_t shapes[]);
void printShape(const shape_t *objp);
int main()
{
shape_t shapes[MAX_SHAPES];
int numOfShapes = loadShapes(shapes);
printf("\nShapes:\n");
for (int i = 0; i < numOfShapes; i++)
printShape(&shapes[i]);
return 0;
}
Part 1 In this part, you are asked to complete shape_part1.c program which keeps the list of shapes in a text file. Please check the content of the example shapes 1.txt below. Content of shapes1.txt square 4 -53 rectangle -3 4 4 5 square 3-21 circle 1 34 square-4-15 Each line contains a shape data. The data format for each shape type is as follows: rectangle square circle Follow the below steps in your program: Create point_t structure with x (double) and y (double) coordinates. Create circle_t structure with center (point_t) and radius (double). Create square_t structure with bottom left corner (point_t) and side (double). Create rectangle_t structure with bottom left corner (point_t), width (double) and height (double). Create union type shape_data_t with circle (circle_t), square (square_t) and rectangle (rectangle_t). Create enumerated type class_t with constants CIRCLE, SQUARE, RECTANGLE. Create shape_t structure with type (class_t) and shape (shape_data_t). type field determines which member of shape contains a value. If type is CIRCLE, shape.circle contains a value. If type is SQUARE, shape.square contains a value. If type is RECTANGLE, shape.rectangle contains a value. Write 3 functions: : int scanShape(FILE *filep, shape_t *objp); scanShape function gets a pointer to FILE and a pointer to shape_t. Reads shape data from the file, and fills shape_t pointed to, by objp. Returns 1 if the read operation is successful; otherwise, returns 0. int loadShapes(shape_t shapes[]); loadShapes function gets an array of shape_t. Opens the text file with the entered name. For each array element, reads data by calling scanShape function. Stops reading when scanShape function returns 0. Returns the number of read shapes. void printShape(const shape_t *objp); printShape function gets a pointer to a constant shape_t. Prints shape information. The format for each shape type is as follows (also see example run). While printing double values, use %.2f as the format specifier. Rectangle: Square: Circle: main function is already provided to you (see shape_part1.c) and it is supposed to remain as it is (you should not change it). In main function, an array of shape_t is declared, loadShapes function is called, and all shapes are printed. Example Run: Enter the file name to read: shapes1.txt Opening shapes1.txt Loading complete Closing shapes1.txt Shapes: Square: <4.00 -5.00> <3.00> Rectangle: <-3.00 4.00> <4.00> <5.00> Square: <3.00 -2.00> <1.00> Circle: <1.00 3.00> <4.00> Square: <-4.00 -1.00> <5.00>
The shape_part1.c program manages a list of shapes stored in a text file. It defines structures for different shape types (circle, square, rectangle) and uses a union to store the shape data. The program includes functions to scan and load shapes from the file, as well as a function to print the shape information. The main function calls the loadShapes function, reads the shapes from the file, and prints them. The program follows a specific format for shape data and uses formatted printing to display the shape information.
The shape_part1.c program implements a data structure for managing different shapes, including circles, squares, and rectangles. It defines structures such as point_t (representing coordinates), circle_t (center and radius), square_t (bottom left corner and side), rectangle_t (bottom left corner, width, and height), and shape_t (containing type and shape data). The shape_data_t union is used to store the different shape types within the shape_t structure.
The program provides three functions: scanShape, loadShapes, and printShape. The scanShape function takes a file pointer and a pointer to a shape_t structure, reads the shape data from the file, and fills the shape_t structure accordingly. It returns 1 if the read operation is successful and 0 otherwise.
The loadShapes function takes an array of shape_t structures and opens the text file specified by the user. It calls the scanShape function for each array element to read the shape data from the file. The loading process stops when the scanShape function returns 0, indicating the end of the file. The function returns the number of shapes successfully read.
The printShape function takes a pointer to a constant shape_t structure and prints the shape information according to the specified format. It uses formatted printing with the "%.2f" specifier for double values to display the shape data accurately.
The main function provided in the shape_part1.c program calls the loadShapes function to read the shapes from the file, and then it prints the shapes using the printShape function. The program expects the user to enter the file name to read the shape data from, and it displays the loaded shapes accordingly.
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Consider a disk with the following characteristics: block size B = 128 bytes; number of blocks per track = 40; number of tracks per surface = 800. A disk pack consists of 25 double-sided disks. (Assume 1 block = 2 sector)
f) Suppose that the average seek time is 15 msec. How much time does it take (on the average) in msec to locate and transfer a single block, given its block address?
g) Calculate the average time it would take to transfer 25 random blocks, and compare this with the time it would take to transfer 25 consecutive blocks. Assume a seek time of 30 msec.
The average time to locate and transfer a single block on the disk is 15.625 msec.
:
Given the disk characteristics:
Block size (B) = 128 bytes
Number of blocks per track = 40
Number of tracks per surface = 800
Number of double-sided disks = 25
To calculate the average time, we consider the seek time and rotational delay.
Seek Time:
The average seek time is given as 15 msec.
Rotational Delay:
Since 1 block consists of 2 sectors, each sector takes half a rotation on average to position itself under the read/write head. Therefore, the rotational delay is 0.5 rotations.
To calculate the time to transfer a single block, we add the seek time and rotational delay:
Average Time = Seek Time + Rotational Delay
Average Time = 15 msec + 0.5 rotations * (1 rotation / 100 rotations per msec)
Average Time = 15 msec + 0.5 msec
Average Time = 15.625 msec
Therefore, it takes an average of 15.625 msec to locate and transfer a single block on the disk.
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The two fundamentals of computer science are Algorithms and Information Processing. a) Briefly describe what is meant by these two concepts? [4 marks]
b) What are the four defining features of an algorithm?
a) Algorithms refer to a set of step-by-step instructions or procedures that solve a specific problem or perform a specific task. They are the cornerstone of computer science and are used to accomplish various tasks such as searching, sorting, and data processing.
Information Processing, on the other hand, is the manipulation of data using various operations such as input, storage, retrieval, transformation, and output. It involves the use of software and hardware systems to store, process and manage information.
b) The four defining features of an algorithm are:
Input: An algorithm must have input values that are used to initiate the computation.
Output: An algorithm must produce at least one output based on the input values and the computational steps performed.
Definiteness: An algorithm must provide a clear and unambiguous description of each step in the computational process, so that it can be executed without any confusion or ambiguity.
Finiteness: An algorithm must terminate after a finite number of steps, otherwise it will be considered incomplete or infinite, which is not practical for real-world applications.
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In which of the following SQL statement(s) is(are) having the same result as SELECT e.id employee_id, e.name employee_name, a.name asset_name FROM employee e LEFT OUTER JOIN asset a ON e.asset_id = a.asset_id; a. SELECT e.id employee_id, e.name employee_name, a.name asset_name ↓ FROM employee e, asset a ↓ WHERE e.asset_id = a.asset_id ↓ AND e.asset_id in (SELECT DISTINCT asset_id FROM employee); b. SELECT e.id employee_id, e.name employee_name, a.name asset_name ↓ FROM employee e, asset a where e.asset_id = a.asset_id ↓ UNION ↓ SELECT e.id employee_id, e.name employee_name, null asset_name ↓ FROM employee e ↓ WHERE e.asset_id is null; c. SELECT e.id employee_id, e.name employee_name, ↓ (SELECT name FROM asset WHERE e.asset_id = asset_id) asset_name ↓ FROM employee e; d. SELECT e.id employee_id, e.name employee_name, a.name asset_name ↓ FROM ↓ (SELECT * FROM employee WHERE asset_id IN (SELECT DISTINCT asset_id FROM asset)) e, asset a ↓
The SQL statements that are having the same result as SELECT e.id employee_id, e.name employee_name, a.name asset_name FROM employee e LEFT OUTER JOIN asset an ON e.asset_id = a.asset_id are an option (b) and option (d).
Option (a) is not equivalent to SELECT e.id employee_id, e.name employee_name, a.name asset_name FROM employee e LEFT OUTER JOIN asset an ON e.asset_id = a.asset_id because the SQL statement uses an inner join. Thus, it only returns rows where there is a match between employee and asset. Option (c) is not equivalent to SELECT e.id employee_id, e.name employee_name, a.name asset_name FROM employee e LEFT OUTER JOIN asset an ON e.asset_id = a.asset_id because it uses a correlated subquery. This type of subquery executes once for every row returned by the outer query. Thus, it is less efficient than a join. Option (b) is equivalent to SELECT e.id employee_id, e.name employee_name, a.name asset_name FROM employee e LEFT OUTER JOIN asset an ON e.asset_id = a.asset_id because it uses a union to return both matching and non-matching rows between employee and asset. Option (d) is equivalent to SELECT e.id employee_id, e.name employee_name, a.name asset_name FROM employee e LEFT OUTER JOIN asset an ON e.asset_id = a.asset_id because it uses a derived table to return only matching rows between employee and asset.
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.2 fx =sort (StudentList!A2: F38,2, true)
A B C
1 Student ID Surname Forename
2 10009 Akins Lewis
3 10026 Allen Mary
Explain the formula highlighted above and each of the parts in the formular. In other words, briefly describe in your own words what it does and what the result is.
For this question, describe the following parameters in the formula above:
- StudentList!A2:F38 is the range of cells (A2:F38) pulled from the sheet labeled StudentList!
-,2 is
-,true is
The highlighted formula sorts the student list data based on the values in the second column (B) in descending order (Z-A).
StudentList!A2:F38 is the range of cells from the worksheet named "StudentList" that contains the data to be sorted.
,2 represents the second argument in the SORT function, which specifies the column number (B) that should be used to sort the data.
,true represents the third argument in the SORT function, which tells the function to sort the data in descending order. If false or omitted, it would sort the data in ascending order.
Therefore, the result of the SORT function will be a sorted list of students' information based on their surnames in descending order. The sorted list will start with the student whose surname starts with the letter 'Z' and end with the student whose surname starts with the letter 'A'.
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Implement the function void list ProductsCheaperThan(double price). This function accepts a double value that represents a price and prints on the screen all the products inside products.txt that are cheaper than the provided price. Check figure 3 for an example of what this function prints.
2 Please enter a price: 2 Product 64967 has price 0.50. Product 31402 has price 1.20. Product 27638 has price 1.40. Product 42377 has price 0.30. Product 49250 has price 0.50. Product 72646 has price 0.85. Product 14371 has price 0.35. Product 39044 has price 1.53. Product 44763 has price 1.20. Product 66958 has price 1.87. Product 33439 has price 0.50. Product 37462 has price 0.34. Figure 3
Some products are on discount. The constant array DISCOUNTED that is defined at the top of the program contains the SKUs of 7 products that are on discount. The discount is always 15%, but the prices in products.txt are before discount. You need to always make sure to use the discounted price if a product is on discount. For example, product 27638 is on discount, i original price is 1.65, but after applying a 15% discount it becomes 1.40. Before you implement list ProductsCheaperThan, it is recommended that you implemen the 2 functions isOn Discount, and discounted Price, so you could use them in this task. isOnDiscount: Accepts the SKU of a product and returns 1 if the product is inside the DISCOUNTED array, or 0 otherwise. discounted Price: Accepts a price and returns the price after applying a 15% discount.
30 64967 0.5 75493 7.3 45763 2.5 31402 1.2 59927 3.7 27638 1.65 72327 2.05 64695 3.15 42377 0.3 49250 0.5 72646 1.0 14371 0.35 39044 1.8 44763 1.2 50948 3.5. 52363 5.5 57369 2.35 56184 7.9 15041 2.0 39447 2.0 68178 19.5 38753 20.50 66958 1.87 30784 2.25 17361 3.25. 33439 0.5 29998 3.5 37462 0.40 38511 34.16 62896 2.95
The function listProductsCheaperThan accepts a price and prints all the products from a file that are cheaper than the provided price.
The function "listProductsCheaperThan" takes a price as input and prints all the products from a file that are cheaper than the provided price. It utilizes two helper functions: "isOnDiscount" and "discountedPrice". The "isOnDiscount" function checks if a product is on discount by comparing its SKU with the DISCOUNTED array. If the product is on discount, it returns 1; otherwise, it returns 0. The "discountedPrice" function applies a 15% discount to the original price.
In the main function, the "listProductsCheaperThan" function is called with a given price. It reads the product details from a file and compares the prices with the provided price. If a product's price is lower, it prints the product's information. If a product is on discount, it calculates the discounted price using the "discountedPrice" function. The function then outputs a list of products that are cheaper than the given price, considering any applicable discounts.
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twitch is launching a new ads program to incentivize creators to use our "Ads Manager" feature which runs automated ads on their channel. Creators who participate will earn higher income than normal Ad revenue share which is based on impressions. The incentive will allow creators to earn a fixed $A per minute streamed/broadcasted up to B minutes in any given month. Creator earnings will be calculated as $A x Actual minutes streamed in a month (capped at B minutes) for the program. Earning Calculations: Creators earn normal Ads revenue share at a fixed $15 for each 1,000 impressions delivered on their channels ($15 x Actual Impressions Count / 1,000) while not using Ads Manager Creators can only opt in the program on the 1st calendar day of the month Creators can exit the program in two ways: Data on creators who participated in the program is housed in the table, see schema below: Dimensions Description Creator ID Unique identifier of Creator Day The date Minutes Streamed Number of minutes streamed during the day Minutes Rate Rate ($A) for each minute streamed under this new program Opt In for this new program TRUE FALSE* Impression Count Number of impressions delivered on the channel during the day *False could either mean a creator voluntarily opts out from the new ads program or they hit the maximum of minutes they can stream under the new program I.Study #1: Accounting Questions & Analysis List the possible payout scenarios for Jan-22 for a creator who opts in the new ads program on 5/1/2022.
If a creator opts into the new ads program on 5/1/2022, the possible payout scenarios for Jan-22 would depend on the number of minutes they stream and the rate per minute.
Let's assume the rate per minute ($A) is $2 and the maximum minutes they can stream under the program (B) is 1,000.
1. If the creator streams for 500 minutes in January:
- Their earnings would be $2 x 500 minutes = $1,000.
2. If the creator streams for 1,200 minutes in January:
- Since the maximum capped minutes is 1,000, their earnings would be $2 x 1,000 minutes = $2,000.
3. If the creator streams for 800 minutes in January:
- Their earnings would still be $2 x 800 minutes = $1,600 since it is below the maximum capped minutes.
These are just a few examples of possible payout scenarios. The actual payout for Jan-22 would depend on the creator's actual minutes streamed and the rate per minute. The program allows creators to earn a fixed amount per minute streamed, up to a certain limit. It incentivizes creators to use the Ads Manager feature and offers a higher income compared to the normal Ad revenue share based on impressions.
In summary, the payout scenarios depend on the creator's streaming minutes and the rate per minute, with a maximum cap on the number of minutes that can be streamed.
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What is the cloud computing reference architecture?
The cloud computing reference architecture is a framework that divides cloud computing into five logical layers and three cross-layer functions. The five layers are the physical layer, virtual layer, control layer, service orchestration layer, and service layer. The three cross-layer functions are security, management, and orchestration.
The physical layer consists of the physical hardware resources that are used by the cloud, such as servers, storage, and networking equipment. The virtual layer is responsible for creating and managing virtual machines (VMs) that run on the physical hardware. The control layer provides services for managing the cloud, such as authentication, authorization, and accounting. The service orchestration layer is responsible for managing the services that are offered by the cloud, such as computing, storage, and networking. The service layer provides the actual services that are used by users, such as web applications, databases, and email.
The cloud computing reference architecture is a valuable tool for understanding the different components of cloud computing and how they interact with each other. It can also be used to design and implement cloud solutions.
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Write a script 'shapes that when run prints a list consisting of "cylinder "cube","sphere". It prompts the user to choose one, and then prompts the user for the relevant quantities eg. the radius and length of the cylinder and then prints its surface area. If the user enters an invalid choice like 'O' or '4' for example, the script simply prints an error message. Similarly for a cube it should ask for side length of the cube, and for the sphere, radius of the sphere. You can use three functions to calculate the surface areas or you can do without functions as well. The script should use nested if-else statement to accomplish this. Here are the sample outputs you should generate (ignore the units):
The script assumes valid numerical inputs from the user. Error handling for non-numeric inputs is not included in this example for simplicity.
Here's the revised script 'shapes.py' that follows the format:
```python
import math
def calculate_cylinder_surface_area(radius, length):
return 2 * math.pi * radius * (radius + length)
def calculate_cube_surface_area(side_length):
return 6 * side_length**2
def calculate_sphere_surface_area(radius):
return 4 * math.pi * radius**2
def shapes():
shape_list = ["cylinder", "cube", "sphere"]
print("Available shapes:", shape_list)
user_choice = input("Choose a shape: ")
if user_choice == "cylinder":
radius = float(input("Enter the radius of the cylinder: "))
length = float(input("Enter the length of the cylinder: "))
surface_area = calculate_cylinder_surface_area(radius, length)
print("Surface area of the cylinder:", surface_area)
elif user_choice == "cube":
side_length = float(input("Enter the side length of the cube: "))
surface_area = calculate_cube_surface_area(side_length)
print("Surface area of the cube:", surface_area)
elif user_choice == "sphere":
radius = float(input("Enter the radius of the sphere: "))
surface_area = calculate_sphere_surface_area(radius)
print("Surface area of the sphere:", surface_area)
else:
print("Invalid choice. Please select a valid shape.")
shapes()
```
Sample outputs:
1. Choosing 'cylinder':
- Choose a shape: cylinder
- Enter the radius of the cylinder: 2
- Enter the length of the cylinder: 4
- Surface area of the cylinder: 100.53096491487338
2. Choosing 'cube':
- Choose a shape: cube
- Enter the side length of the cube: 3
- Surface area of the cube: 54.0
3. Choosing 'sphere':
- Choose a shape: sphere
- Enter the radius of the sphere: 1.5
- Surface area of the sphere: 28.274333882308138
4. Choosing an invalid shape:
- Choose a shape: O
- Invalid choice. Please select a valid shape.
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How would you describe the difference between BASH Scripting, Linux Shell, and BASH Shell?
BASH Scripting, Linux Shell, and BASH Shell are related but have distinct meanings and contexts. Here's a description of each term:
BASH Scripting:
BASH (Bourne Again SHell) scripting refers to the process of writing and executing scripts using the BASH shell. BASH is a widely used command-line interpreter and scripting language available on various Unix-like operating systems, including Linux. BASH scripts are plain text files containing a series of commands and instructions that can be executed by the BASH shell. BASH scripting is commonly used for automation, system administration, and writing custom scripts to perform specific tasks on a Linux system.
Linux Shell:
Linux Shell refers to the command-line interface (CLI) or user interface provided by the Linux operating system. The shell is the program that interprets and executes user commands in a Linux environment. It provides access to various system utilities, tools, and functions. Linux offers different shell options, including BASH (the default on most Linux distributions), as well as other shells like Zsh, Korn Shell (ksh), C Shell (csh), and more. Each shell may have its own syntax, features, and capabilities, but they all provide a way to interact with the Linux operating system via the command line.
BASH Shell:
BASH Shell specifically refers to the BASH (Bourne Again SHell) interpreter, which is a popular and widely used shell on Linux and other Unix-like operating systems. BASH provides an interactive command-line interface where users can enter commands, execute programs, and perform various tasks. It offers features such as command history, command completion, shell scripting capabilities, and extensive support for system administration tasks. BASH Shell is known for its compatibility with the original Bourne Shell (sh) and its extended features, making it a powerful and flexible shell for Linux users and system administrators.
In summary, BASH Scripting refers to writing scripts using the BASH shell scripting language, Linux Shell refers to the command-line interface provided by the Linux operating system, and BASH Shell specifically refers to the BASH interpreter used as the default shell on Linux and other Unix-like systems. BASH scripting is a way to automate tasks using BASH Shell, which is one of the many options available as a Linux Shell.
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Hello, for this question, we want to return the length of the
length of the last word of a string. I was wondering why the method
that I used returns the wrong number.
Thanks!
1 2 3 4 5 6 7 class Solution { public int lengthOfLastWord(String s) { String[] ary = (""); for (int i = 0; i < ; i++) { if (ary[i] "") { return - i; == } } return 0 REBO J
Answer:
There are a few issues with the provided code that result in it returning the wrong number:
1. Line 4 is initializing the string array `ary` with an empty string, which means that it will only have one element (which is the empty string itself). This does not split the input string `s` into separate words as intended.
2. The loop condition in line 5 (`i < ;`) is missing an argument, which means that the loop will not execute.
3. The `if` condition in line 6 is checking if `ary[i]` is an empty string (`""`), which will never be true since `ary` was initialized with an empty string. It should instead check if `s.charAt(i)` is a space character.
4. The return statement in line 7 is using a negative value (`- i`) as the length of the last word, which is incorrect and will always result in a negative number.
To fix these issues, you can modify the code as follows:
class Solution {
public int lengthOfLastWord(String s) {
String[] words = s.split(" ");
if (words.length == 0) {
return 0;
} else {
return words[words.length - 1].length();
}
}
}
Here, we are splitting the input string `s` into an array of words using the `split` method, which splits the string on spaces. If the resulting array has length 0 (meaning there were no words in the original string), we return 0. Otherwise, we return the length of the last word in the array (which is accessed using the index `words.length - 1`).
Read the following program code carefully, and complete the statements underlined (1) to (5) abstract class Person { private String name; public Person (String n) { name = n; } public String getMajor (): _0{ public String (2) return name; } } class Student (3) _Person { private (4) public Student (String n, String m) { super (n); major = m; } public String (5) return "major is :" + major: } _0 { } public class TestPerson { public static void main(String args[]) { Person p = new Student ("tom", "AI engineering"); System.out.println (p. getName()+", "+p. getMajor (()); }
The underlined statements in the program code should be completed as follows: (1) abstract (2) getName() (3) extends (4) String major; (5) getMajor()
The Person class is an abstract class, which means that it cannot be instantiated directly. It must be subclassed in order to create objects. The Student class extends the Person class and adds a new field called major. The Student class also overrides the getMajor() method from the Person class.
The TestPerson class creates a new Student object and prints the name and major of the student.
Here is the complete program code:
abstract class Person {
private String name;
public Person(String n) {
name = n;
}
public abstract String getMajor();
}
class Student extends Person {
private String major;
public Student(String n, String m) {
super(n);
major = m;
}
public String getMajor() {
return major;
}
}
public class TestPerson {
public static void main(String args[]) {
Person p = new Student("tom", "AI engineering");
System.out.println(p.getName() + ", " + p.getMajor());
}
}
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Write a program to demonstrate the overriding method in a derived class. The program should create a base class called B1 and two derived classes, called D1 and D2. There should be a virtual method called M1() in the base class, and the derived classes should override it. The output should display the following text from the base class (B1) and derived classes (D1 and D2). M1() from B1. M1() in D1. M1() in D2.
Here's an example program in Python that demonstrates method overriding:
class B1:
def M1(self):
print("M1() from B1.")
class D1(B1):
def M1(self):
print("M1() in D1.")
class D2(B1):
def M1(self):
print("M1() in D2.")
b = B1()
d1 = D1()
d2 = D2()
b.M1()
d1.M1()
d2.M1()
The output of this program will be:
M1() from B1.
M1() in D1.
M1() in D2.
In this program, we define a base class B1 with a virtual method M1() that prints "M1() from B1.". The classes D1 and D2 derive from B1 and both override the M1() method.
We then create instances of each class and call the M1() method on them. When we call M1() on b, which is an instance of B1, it executes the implementation defined in the base class and prints "M1() from B1.".
When we call M1() on d1, which is an instance of D1, it executes the implementation defined in D1 and prints "M1() in D1.".
Similarly, when we call M1() on d2, which is an instance of D2, it executes the implementation defined in D2 and prints "M1() in D2.".
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