Which of the following decision problems are undecidable?I. Given NFAs N1 and N2, is L(N1) ∩ L(N2) = ϕ?II. Given a CFG G = (N, ∑, P, S) and a string x ∈ ∑*, does x ∈ L(G)?III. Given CFGs G1 and G2, is L(G1) = L(G2)?IV. Given a TM M, is L(M) = ϕ?

Answers

Answer 1

The correct answer is Emptiness problem of Turing machine is undecidable.Uncountable noun (mptins). Emptiness is an unpleasant or unsettling sensation that nothing is valuable.

The Turing machine's emptiness issue cannot be solved, according to Rice's theorem. Keep in mind that any NP problem can be solved. This idea is crucial. Keep in mind that P issues also fulfil the NP specification, therefore... Some NP-Hard issues can also be found in NP. In the theory of computation, undecidable issues are those for which we are unable to create an algorithm that can resolve the issue in an unlimited amount of time (TOC). If a Turing machine cannot determine a problem's solution in an indefinite length of time, then the problem cannot be resolved.

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Related Questions

What are examples of romanesque metalwork? discuss how they are created and what they represent.

Answers

The Romanesque style can be seen in the apse wall painting from the church of San Clemente.

What is romanesque metalwork?Depending on local stone and building traditions, the materials used in Romanesque architecture vary across Europe. Brick was widely used in Italy, Poland, much of Germany, and parts of the Netherlands. Other materials such as limestone, granite, and flint were widely used in other areas.One of the Romanesque style's principles was to lay the individual stones of ecclesiastical buildings in closely-set courses; however, in Worms, we see a tendency - which culminated in Bamburg and Naumburg - to soften and enrich the rigid construction with ornamental masonry forms.Towering round arches, massive stone and brickwork, small windows, thick walls, and a preference for housing art and sculpture depicting biblical scenes characterise Romanesque architecture.

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Answer: May vary.

Explanation:  My example.

Romanesque metalwork encompasses a variety of objects created during the Romanesque period, which lasted from approximately the 10th to the 12th century in Europe. This period was characterized by a revival of artistic and architectural styles inspired by ancient Roman designs. Romanesque metalwork includes items such as reliquaries, censers, processional crosses, and other decorative objects used in religious and secular contexts. These objects serve as valuable artifacts that provide insights into the artistic, cultural, and religious aspects of the time. 

Romanesque metalwork serves as a testament to the artistic skill and cultural values of the time. These objects were created by highly skilled metalworkers who combined various techniques to produce intricate and meaningful pieces. Beyond their aesthetic appeal, these artifacts held religious and symbolic significance, conveying the religious devotion and cultural ideals of the Romanesque period. They offer valuable insights into the religious and social aspects of medieval Europe and continue to be admired for their craftsmanship and historical importance.

Hope this helps! :)  

On a Windows 10, using Storage Spaces eliminates the need for which of the following tasks?
Repartitioning drives.
Resizing volumes.
Explanation
Storage spaces eliminates the need for such tasks as:
Repartitioning drives.
Resizing volumes.
Backing up data in order to repartition.

Answers

Storage Spaces on Windows 10 eliminates the need for;

Repartitioning drives and resizing volumes.

Backing up data in order to repartition may still be necessary depending on the specific use case.

Storage Spaces is a feature in Windows 10 that allows you to create virtual disks out of one or more physical hard drives. These virtual disks, called storage pools, can be used to store data just like any other physical hard drive.

One of the main advantages of using Storage Spaces is that it eliminates the need for repartitioning drives. This means that you can use multiple hard drives together as if they were one large drive, without having to manually partition them into separate sections. This can be useful if you need more storage space, but don't want to replace your current hard drive with a larger one.

Storage Spaces also eliminates the need for resizing volumes. With traditional hard drives, if you needed more storage space on a particular drive, you would have to manually resize the partition to make room for more data. With Storage Spaces, you can add more hard drives to the storage pool at any time, and the virtual disk will automatically expand to use the additional space.

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Which network type uses light pulses to transmit data?

Answers

Answer:

Fiber optic cable

Explanation:

Final answer:

Fiber optic network uses light pulses to transmit data through optical fibers.

Explanation:

The network type that uses light pulses to transmit data is called fiber optic network. In a fiber optic network, data is transmitted through optical fibers using pulses of light. These networks offer high-speed and secure data transmission, making them suitable for long-distance communication and high-bandwidth applications.

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Maple place garage is posting five job listings with the online service from example 4 in the skills and strategies section.

Answers

It may be calculated that each job ad for five openings will cost $320.

How to determine the price

The pricing for each job listing from 5 to 20 will be $320 based on the entire question.

The difference between the price for one posting and the amount Maple Place will pay each posting is:

= $395 - $320

= $75

The five posts will cost the following:

= $320 × 5

= $1600

Last but not least, the five posts' combined savings will be:

= ($395 × 5) - $1600

= $1975 - $1600

= $320

It may be calculated that each job ad for five openings will cost $320.

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The complete question is-

Maple Place Garage is posting five job listings with the online service from Example 4.

a. How much is each posting?

b. How much less does Maple Place pay per posting compared to the price for one posting?

c. What is the cost of the five postings?

d. What is the total savings for the five postings?

a user receives this error message?

Answers

You are seeing the "Not Secure" warning because the website or web page you are visiting does not offer an encrypted connection, which is why. You have the option of using HTTP (insecure) or HTTPS when your Chrome browser connects to a website (secure).

What makes my website insecure?

If your website displays as "not secure," an updated SSL Certificate is lacking from it. Your website's URL will begin with HTTP rather than HTTPS as a result, making it simple to identify.

Why does Chrome continue to claim that my connection is not private?

Your browser's inability to successfully authenticate a Secure Sockets Layer (SSL) certificate is the primary cause of the "your connection is not private" error you may be experiencing.

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Can anyone help me answer this question?
What is a V-Model? How is it represented?

Answers

The V-model is a diagram that shows the lifespan of a system's development. It is employed to create accurate project management and development lifecycle models.

Where is the V-Model applied?

It can be applied to software projects of any magnitude, whether they are for the public sector, the military, or business. The model is a tool for streamlining the planning and execution of the creation, upkeep, and development of various IT systems.

What are the V model's steps?

The SDLC phases in a conventional approach to the V-model are those of the Waterfall model: analysis of requirements. Functional and system design. architectural planning.

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Which one of the below is not divide and conquer approach?O Insertion SortO Merge SortO Heap SortO Shell Sort

Answers

Insertion sort is not a divide-and-conquer approach.

It is a sorting algorithm that builds the final sorted list one item at a time. Insertion sort is a simple sorting algorithm that builds the final sorted list one item at a time. It is not a divide and conquers approach, unlike algorithms such as merge sort and quick sort which involve dividing the input into smaller sub-problems, solving them recursively, and then combining the solutions. Insertion sort iterates over the input, comparing each element with the ones before it and inserting it into the correct position. It is efficient for small lists and lists that are already partially sorted.

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A colleague is teaching about the parts of a flower and wants students to label these on their photos. Which of the following can they use to mark up a photo?
Choose all that apply.
O Magnifier
O Signature
O Drawings
O Shapes
O Text`

Answers

The correct answer is O Magnifier. A colleague is teaching about the parts of a flower and wants students to label these on their photos.

By zooming closer, using colour filters, using a flashlight to provide light, and altering the image's brightness or contrast, a magnifier may make an item easier to view. The text and objects on a computer screen may be made larger with screen magnifiers. They are typically utilised by those with low vision who can still see well enough to operate a computer without the aid of a screen reader. An tool used to magnify tiny things called a microscope. Even at the cellular level, certain microscopes may be used to study an item, enabling researchers to view a cell's form as well as its nucleus, mitochondria, and other organelles.

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Which of the following is used to measure the amount of storage a computer has?
*
A) Units of Space
B) Processing-per-second
C) Storage Units
D) Gigabytes

Answers

Answer:

Gigabytes

Explanation:

Gigabytes (GB) and Megabytes (MB) are used.

What does "account information disputed by consumer, meets fcra requirements" mean?

Answers

Answer:

the dispute you filed is in alignment with FCRA (Fair Credit Reporting Act) Requirements.

Explanation:

1.File encryption?
2. Disk encryption?
3. Data transmission encryption?

Answers

Your data is protected by file encryption because it is encrypted. It can only be unlocked by someone who has the appropriate encryption key, such as a password. In Windows 10 Home, file encryption is not an option.

Describe disk encryption?

By encoding data into unintelligible code that is difficult for unauthorized individuals to decipher, disk encryption is a technology that safeguards information. Every piece of data that is stored on a disk or disk volume is encrypted using disk encryption software and hardware.

How is data transfer encrypted?

Data encryption converts information into a different form, or code, so that only those with a secret key (officially referred to as a decryption key) or password may decipher it. Data that is encrypted is often referred to as ciphertext, whereas plaintext refers to data that is not encrypted.

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Which drive is configured as first in the boot sequence?

Answers

The CD-ROM or disc drive must come before the hard drive in the boot process in order to boot from the Windows disc. Computers that have a Boot Menu option allow users to choose the boot device from the menu.

What does BIOS boot priority mean?

A priority list is the order of the boots. For instance, if your boot order places a USB drive above a hard disk, the computer will first try to boot from the USB drive before switching to the hard drive if the USB drive is not attached or has no operating system.

What three steps comprise booting?

is the procedure for turning on a computer and launching the operating system. The BIOS and Setup Program, The Power-On-Self-Test, and Five more phases make up the booting procedure.

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Which of the following best describes what a thesis for a historical essay should be?

A.
a well-researched fact
B.
a summary of an event
C.
an interpretive claim
D.
an uncontestable statement

Answers

A historical essay's thesis is most appropriately characterized as an interpretive claim. Argumentative historical thesis statements provide the author's viewpoint on a subject.

What is a thesis statement?

The thesis statement contains information about the subject being covered, the arguments put forth in the work, and the intended audience. Your thesis statement should be in the final sentence of your introduction, which is typically referred to as your first paragraph.

What is a historical writing thesis statement?

The statement that summarizes the historical argument is known as the thesis. The claim or thesis is cited by the Common Core State Standards as a crucial component of writing in history classes.

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Which file(s) do you need to encrypt? Select all that apply.
A.txt
B.docx
C.bmp
D.xlsx J
E.pub
F.pptx

Answers

The file(s) you need to encrypt are txt, docx, and xlsx. Information is transformed into secret code through the process of encryption, which conceals the true meaning of the information.

How does encrypt example work?

Sensitive information should be protected from hackers via encryption, which is a key strategy for both individuals and businesses. Websites that transmit credit card and bank account details, for instance, encrypt sensitive data to guard against fraud and identity theft.

What purposes serve lets encrypt?

Global Certificate Authority Let's Encrypt (CA). We facilitate the purchase, renewal, and management of SSL/TLS certificates for individuals and businesses worldwide. Websites can utilize our certificates to provide safe HTTPS connections. Domain Validation (DV) certificates are available from Let's Encrypt.

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Which three Wi-Fi standards operate in the 2.4GHz range of frequencies? (Choose three.)
answer choices
a) 802.11b
b) 802.11n
c) 802.11g
d) 802.11ac
e) 802.11a

Answers

The three Wi-Fi standards that operate in the 2.4GHz range of frequencies are:

a) 802.11b

c) 802.11g

e) 802.11a

802.11b and 802.11g are considered older standards, with lower data transfer speeds compared to newer standards such as 802.11n and 802.11ac, which operate in the 5GHz range.

802.11g is known to have emerged on the market. With 802.11g it usually attempts to combine the best of both 802.11a and 802.11b also.  

802.11b devices can't connect to 5 GHz networks but only to 2.4 GHz networks.802.11b radios are cheap and they grew in adoption quicker, even though the standards were released in the same year.

With 802.11a, which is now an older standard with a lower data transfer speeds compared to the newer standards.

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You work part-time at a computer repair store. A customer brought in a computer for repairs. The computer has the following specifications:

- AMD Phenom II x4 quad core processor.

- 8 GB DDR3 memory.

- Two SATA hard drives, one with the operating system installed, the other with a single volume for storing data.

- Single SATA optical drive.

You just replaced the power supply in the computer. Now the computer will not boot.

Answers

The computer will start when you press the power button. You'll see the PC turn off once Windows starts. The notice inside the lab can be closed by clicking OK. Select Motherboard from the menu that appears above the computer to go to the motherboard view and diagnose the issue.

Which of the following two configuration options is available through the BIOS UEFI setup screen?

Altering the boot priority order, turning on or off onboard devices, supporting virtualization, and configuring security settings are just a few motherboard parameters that can be changed using UEFI/BIOS setup.

Which of the following methods for checking the CPU's temperature is the most straightforward?

The simplest approach to check your CPU temperature is to instal a free CPU heat monitoring tool, such as Core Temp, and keep an eye out for spikes.

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What to do if "Your tax return is still being processed" message appears

Answers

Your tax return may be essentially put on hold if the IRS needs more information from you or the IRS has to fix any errors before it can proceed with processing your return if the status of your tax return is "Still Being Processed".

How long should it continue to say that your tax return is being processed?

Most of our reimbursements are processed in under 21 days. It can take six months or longer to process your return if you filed on paper and are anticipating a refund.

Is approved the same as still being processed?

"Being processed" indicates that the IRS must process your return before approving your refund. Although the IRS typically sends refunds in less than 21 days after receiving tax returns, it's conceivable that your return may need more time.

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what is the output of the following code
w=0
x=5
y=1
z=4

Answers

Output is simply what occurs after all the code has been completed, the final result. It is what is entered into the console when all calculations have been completed. Basically, it's what is released.

An output is what in a coding example?

A programmer may decide to incorporate outputs to keep the user updated on what is happening inside the programme. Here, the user is presented with the program's data either visually (on the screen) or physically (as printouts or signals, for example).

What does the C code's output look like?

The built-in functions in C programming make it possible to read the input and pass it along to the programme as needed.

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which database encryption method can you use to encrypt data at rest?

Answers

Answer:

Transparent Data Encryption

Explanation:

Create a program that:
Asks if you want to participate. If they type anything but y, yes, Yes, or YES, it repeats until they type y, yes, Yes, or
YES (While statement)
The program then asks three survey questions that you create. At least on of the questions must have a decision structure that takes a different path depending on the answer.
Lastly, the program prints a summary of the responses.

Answers

Consider a scenario where we want to create a program that can calculate the average of a set of (moredata[0]) allows us to accept "y", "yes", or "yeah" to continue the loop.

In Python, how do you repeat a program?

repeat() For practicing repeat in Python, the itertools package offers the repeat() function. We supply the data and the number of repetitions in the repeat() function.

How do you handle survey questions where respondents can choose from multiple answers?

Since no statistical software will be able to measure this unless you can divide it into two separate questions, which you shouldn't do, you should eliminate the response entirely. Make sure to let your participants know that each question should only have one response.

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Your PC screen looks like this:
Which part would you test?
a. GPU
b. APU
c. CPU
d. RAM
e. PSU

Answers

I'll test the GPU portion. Originally created to speed up the rendering of images, a graphics processing unit is a specialized processor.

A GPU is it a graphics card?

The major part of a graphics card is a graphics processing unit (GPU) that executes the necessary computations, although the term "GPU" is also also used to describe the graphics card as a whole.

Does GPU outperform CPU?

Due to their extreme parallelism, GPUs can process data much more quickly than CPUs, but they are less flexible. Since a GPU is unable to manage all of a computer's inputs and outputs, CPUs have much larger and more comprehensive instruction sets.

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You manage a network that has multiple internal subnets. You connect a workstation to the 192.168.1.0 subnet, which uses the default subnet mask. This workstation can communicate with some hosts on the private network, but not with other hosts. You run ipconfig/all and see the following:
Ethernet adapter Local Area Connection:
Connection SPecifi.c DNS Suffix . : mydomain.local
Description ....... : Broadcom network adapter
Physical Address................ : 00-AA-BB-CC-74-EE
DHCP Enabled.......NO
Autoconfiguration Enabled.... Yes
IPv4 Address...............: 192.168.1.1
Subnet Mask.................: 255.255.0.0
Default gateway..........: 192.168.1.1
DNS Servers.............: 192.168.1.20 192.168.1.27
Which of the following is the MOST likely to cause of the problem?

Answers

The correct answer is router. A router connects different networks and routes traffic between them. Every network connected by a router has a special identification number or address called a network number.

Arp. To see the MAC addresses connected to IP addresses that the local workstation has recently contacted, use the arp command. The subnet mask for APIPA is 255.255.0.0, and the IP address range is (169.254.0.1 to 169.254.255.254), with 65,534 valid IP addresses. The range 169.254. 0.0-169.254. 255.255 has been set aside by the Internet Assigned Numbers Authority (IANA) for Automatic Private IP Addressing. Since routable addresses are guaranteed not to clash with it, APIPA offers an address. Hubs link various computer networking components together. In that it amplifies signals that degrade after travelling across long distances on connected wires, a hub also performs the function of a repeater.

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Drag the tiles to the correct boxes to complete the pairs.
Match the term to its use in creating perspective.
intum All rights resena
placement
size
Lines merging into a distance create
an illusion of depth.
The position of a shape relative to the
horizon affects your perception of depth.
Adds spatial depth to a shape.
color
A smaller shape, placed appropriately,
appears more distant than a similar
larger shape.
converging lines

Answers

Answer:

1. Converging lines

2. Placement

3. Color

4.Size

Explanation:

Which of the following can be used to replace /* missing implementation */ so that removeName will work as intended

Answers

Total.advance(timeCards[k].getHours(), timeCards[k].getMinutes())

how computer examines your software for problems before running it?

Bugs are errors or mistakes that occur in a program. They are nearly usually the programmer’s fault. Debugging is the process of locating and correcting mistakes. Debugging is the act of finding and eliminating current and prospective problems (often known as “bugs”) in software code that might cause it to behave abnormally or crash. To avoid doing erroneous operations.

There are three categories of problems that might arise when building programs: syntax errors, logic errors, and runtime errors.

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the following can be used to replace missing implementation so that removeName will work as intended Total.advance(timeCards[k].getHours(), timeCards[k].getMinutes())

how computer examines your software for problems before running it?

Bugs are errors or mistakes that occur in a program. They are nearly usually the programmer’s fault. Debugging is the process of locating and correcting mistakes. Debugging is the act of finding and eliminating current and prospective problems (often known as “bugs”) in software code that might cause it to behave abnormally or crash. To avoid doing erroneous operations.

There are three categories of problems that might arise when building programs: syntax errors, logic errors, and runtime errors.

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2.11 LAB 2D: Code Debugging

Answers

code debugging overview fix errors in a program. description being able to fix errors in your own or others' code is an important aspect of computer programming.

Software professionals almost never have a program run perfectly the first time through, and this is absolutely normal. This lab will focus on fixing some of the most common errors. this phis process of finding and correcting errors is known as debugging. take note of these errors as they are likely to be some of the errors you will encounter in future labs and projects. objective The code given is supposed to print out the following in order: • The text "Hello World" A greeting that includes the first and last names the user has input •. First the program will prompt for your name, asking 'Enter a First Name', and "Enter a Last Name'. If the input is: Sparty Spartan Then output should be: Hello World The world says hello to Sparty Spartan Sparty Spartan 25.0 328896,2216578.9x3297 LAB ACTIVITY 2.11.1: LAB 2D: Code Debugging 0/30 main.py Load default template..

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Swapping items between memory and storage is called?

Answers

Swapping items between memory and storage is called Paging. When an operating system spends much of its time paging, instead of executing application software, it is said to be thrashing.

What does an operating system switch mean?

Swapping: Swapping is the process of temporarily moving a process from the main memory to the secondary memory, which is faster than the secondary memory. However, because RAM has a limited capacity, dormant processes are moved to secondary memory.

Paging refers to the process of moving objects between memory and storage. List the symptoms of thrashing and what happens during it.

An operating system is considered to be thrashing when it spends a significant portion of its time paging rather than running application software.Swapping items between memory and storage is called Paging.

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That's My Coding And Iam Doing It Correct, But When I Try To Submit It I Get This

Answers

Answer: You get It because you have  glitch in your computer or have any error so you may refresh or sign in and out from ur computer.

Explanation:

1.16.1: Fetch
function start() {
turnLeft();
move4();
turnRight();
move2();
takeBall();
move();
turnRight();
move4();
turnLeft();
move3();
gP();
move3();
move3();
gP();
putBall();
}
//allow move karel 4 times
function move4(){
move();
move();
move();
move();
}

function move2(){
move();
move();
}

function gP(){
turnLeft();
turnLeft();
}

function move3(){
move();
move();
move();
}

Answers

This script appears to be written in a language similar to Karel, which is a programming language used to teach beginners how to code. The script defines four functions: start, move4, move2 and gP, move3.

The start function is the main function that controls Karel's actions. The function starts by calling the turnLeft() function, which makes Karel turn left. Then it calls the move4() function, which makes Karel move forward 4 times. Next, it calls the turnRight() function, which makes Karel turn right. The script then calls the move2() function, which makes Karel move forward 2 times. Then it calls the takeBall() function, which makes Karel pick up a ball. After that, it calls the move() function, which makes Karel move forward once. Then it calls the turnRight() function again, which makes Karel turn right. Next, it calls the move4() function, which makes Karel move forward 4 times. Then it calls the turnLeft() function, which makes Karel turn left. Next, it calls the move3() function, which makes Karel move forward 3 times. Then it calls the gP() function, which makes Karel turn around (180 degree). Next it calls the move3() function, which makes Karel move forward 3 times. After that it calls the move3() function, which makes Karel move forward 3 times. Finally it calls the gP() function, which makes Karel turn around (180 degree). And then it calls the putBall() function, which makes Karel put down the ball.

The move4() function is a helper function that makes Karel move forward 4 times.

The move2() function is a helper function that makes Karel move forward 2 times.

The gP() function is a helper function that makes Karel turn around (180 degree).

The move3() function is a helper function that makes Karel move forward 3 times

Menu Loop and Monkey Intake

My instructions were as follows:
HOWEVER

I HAVE MOST OF THE CODE COMPLETED ALREADY. I NEED HELP WITH THE PARTS IN BOLD WRITING ONLY!!!!!!!!


// Complete reserveAnimal
// You will need to find the animal by animal type and in service country

public static void reserveAnimal(Scanner scanner) {
System.out.println("The method reserveAnimal needs to be implemented");

}

// Complete printAnimals
// You will need to find the animal by animal type and in service country
// Include the animal name, status, acquisition country and if the animal is reserved.
// Remember that this method connects to three different menu items.
// based on the listType parameter
// dog - prints the list of dogs
// monkey - prints the list of monkeys
// available - prints a combined list of all animals that are
// fully trained ("in service") but not reserved
// Remember that you only have to fully implement ONE of these lists.
// The other lists can have a print statement saying "This option needs to be implemented".
// To score "exemplary" you must correctly implement the "available" list.


public static void printAnimals() {
System.out.println("The method printAnimals needs to be implemented");

}

public static void main(String[] args) {


initializeDogList();
initializeMonkeyList();

}

I ONLY NEED HELP WITH THE IN LINE COMMENTS THAT ARE HIGHLIGHTED IN BOLD. I already have most of the code completed, and the over java files (dog, monkey, recuseanimal) completed as well, and can provide them in comments if needed, the code was apparently to long to have as apart of my original question.

Thanks in advance!!!!

Answers

import java.util.ArrayList;

import java.util.Scanner;

public class Driver {

   private static ArrayList<Dog> dogList = new ArrayList<Dog>();

   private static ArrayList<Monkey> monkeyList = new ArrayList<Monkey>();

   // Instance variables (if needed)

public static void main(String[] args) {displayMenu();

   Scanner scnr = new Scanner(System.in);

   String displayMenu = scnr.nextLine();

   String menu_option = scnr.nextLine();

   initializeDogList();

   initializeMonkeyList();

   do {

displayMenu();

       if(menu_option != "q") {

           System.out.println("\t\t\t\tRescue Animal System Menu");

       }

       else if(menu_option == "1") {

           System.out.println("[1] Intake a new dog");

       }

       else if(menu_option == "2") {

           System.out.println("[2] Intake a new monkey");

       }

       else if(menu_option == "3") {

           System.out.println("[3] Reserve an animal");

       }

       else if(menu_option == "4") {

           System.out.println("[4] Print a list of all dogs");

       }

       else if(menu_option == "5") {

           System.out.println("[5] Print a list of all monkeys");

       }

       else if(menu_option =="6") {

           System.out.println("[6] Print a list of all animals that are not reserved");

       }

       else if(menu_option == "q") {

           System.out.println("[q] Quit application");

       }

       else {

           System.out.println("Enter a menu selection");

       }

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Let T be a MST of a given graph G. Will T still be the MST if we reduce the weight of exactly one of the edges in G by a constant c?

Answers

Yes. The cut attribute of MSTs. A cut is just a division of the graph's vertices into two separate sets.

This relates to the Minimum Spanning Tree's Cycle Property, which essentially states that in a graph with a cycle, the edge with the highest weight does not belong in the MST (easily proven by contradiction in the link above). As a result, the edge emax cannot be in the MST since it is a cycle. Uniqueness. There can only be one minimal spanning tree if each edge has a unique weight. This is true in many practical circumstances where it's improbable that any two pathways would have precisely the same cost, such as the telecommunications business example given above.

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