Given a set S of n distinct integers, we want to find the k smallest in sorted order (if k = 3, the algorithm should returns 3 numbers). Given an O(n + k*log(k)) time algorithm for doing this. Be sure to proof the correctness (by Induction), and the time complexity (explains why it is O(n + k*log(k))).

Answers

Answer 1

To find the k smallest distinct integers in a set S of n distinct integers in sorted order, we can use a modified version of the quicksort algorithm. The algorithm has a time complexity of O(n + k*log(k)).

How we arrived at the solution?

Proof of Correctness by Induction:

1. Base case (k = 1):

When k = 1, the algorithm selects the smallest element from the set S as the pivot and returns it as the single smallest element, which is correct.

2. Inductive step:

Assume that the algorithm correctly finds the k smallest elements from a set S of size n for all k < k'. We need to prove that it also works for k = k'.In each recursive step of the algorithm, the pivot is chosen, and the set S is partitioned into smaller and larger subsets.If the number of elements in the smaller subset is exactly k', we return the smaller subset, which contains the k' smallest elements.If the number of elements in the smaller subset is less than k', we recursively apply the algorithm to the larger subset and k' - number of elements in the smaller subset.By the induction hypothesis, the algorithm will correctly find the k' - number of elements in the smaller subset from the larger subset.

Therefore, the algorithm correctly finds the k' smallest elements from the original set S.

3. Time Complexity Explanation (O(n + k*log(k))):

In each recursive step, the algorithm partitions the set S based on the pivot element in O(n) time.The number of recursive steps is determined by the number of elements in the smaller subset, which is at most n.At each step, the size of the problem reduces by a factor of at least 1/2 (on average), as we partition the set into smaller and larger subsets.Therefore, the depth of the recursion is at most log(k) for k elements.Each recursive step and pivot selection takes O(n) time.Thus, the total time complexity is O(n + k*log(k)).

Therefore, the algorithm correctly finds the k smallest distinct integers in sorted order from a set S of n distinct integers with a time complexity of O(n + k*log(k)).

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Related Questions

What is the purpose of the CC option in an email?
A.
Create a carbon copy of the message.
B.
Save the message as a template for future use.
C.
Send a copy of the message to one or more people.
D.
Forward a message to multiple recipients.
( Edmentum MSE )

Answers

Answer:

c

Explanation:

send a copy of the messege


Write about Alarm System and evacuation protocol in detail
( WRITE BY USING COMPUTER PLEASE !!! )

Answers

Alarm systems and evacuation protocols play a vital role in ensuring the safety of individuals by promptly detecting hazards and facilitating organized evacuations during emergencies.

An alarm system is a mechanism that uses an alert to warn people of a potential danger. The most frequent use of an alarm system is to warn of a fire, but it may also be used for other purposes, such as notifying of a break-in or detecting dangerous gasses.

The system may be designed to detect the occurrence of an event or to provide an audible or visual signal when a predetermined threshold has been surpassed, such as when a sensor registers a certain level of heat or smoke. An evacuation protocol, on the other hand, is a sequence of procedures that are followed in the event of an emergency or catastrophe, such as a fire or gas leak. The goal of an evacuation protocol is to safely and efficiently evacuate individuals from a hazardous area and to provide them with the appropriate care and assistance.

The procedures in an evacuation protocol vary depending on the nature of the emergency, but the general process typically includes a warning signal, an assessment of the situation, and a plan to evacuate. For example, if a fire alarm system is activated, the evacuation protocol may involve sounding an alarm, alerting emergency personnel, and evacuating individuals to a designated safe area.

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State one criteria that makes a piece of malware a virus.

Answers

Answer: Self replication

Explanation: Malware is a catch-all term for any type of malicious software, regardless of how it works, its intent, or how it's distributed. A virus is a specific type of malware that self-replicates by inserting its code into other programs.

True or False,
LibreOffice Impress is the spreadsheet software of Edubuntu. ​

Answers

False.LibreOffice Impress is not the spreadsheet software of Edubuntu. Edubuntu is a free and open-source operating system designed for use in educational settings.

It is based on Ubuntu and includes a variety of educational software applications.LibreOffice Impress is a presentation software included in the LibreOffice suite, which is a free and open-source office productivity software. Impress is used for creating and editing presentations, and it includes features such as slide design, animations, and multimedia integration.On the other hand, LibreOffice Calc is the spreadsheet software included in the LibreOffice suite. It is used for creating and editing spreadsheets, and it includes features such as formulas, charts, and macros.While Edubuntu includes a variety of educational software applications, including office productivity software, it is not limited to any specific suite or software. Therefore, it is not accurate to say that LibreOffice Impress is the spreadsheet software of Edubuntu.

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A router on the border of your network receives a packet with a source address that shows it originating from a client on the internal network. However, the packet was received on the router's external interface, which means it originated somewhere on the Internet.

Answers

Answer:

The answer would be Spoofing

NEXT
Internet and World Wide Web: Mastery Test
1
Select the correct answer
An instructor receives a text message on her phone. Next, she reads out the text to the whole claws. Which network component plays a similar
role by receiving a message and broadcasting it to all other computers connected to the component?
OA Switch
OB .
hub
OC bridge
OD
router
Reset
Wext

Answers

Answer:

hub is the correct answer

hope it is helpful to you

true/false. referencing use-case modeling, a source is an external entity that interacts with the system

Answers

True. A source in use-case modeling refers to an external entity that interacts with the system.

Is it accurate that a source interacts externally?

In use-case modeling, a source refers to an external entity that engages with the system under development. It serves as a representation of entities or elements located outside the system's boundaries, which initiate or provide input to the system. These sources can encompass various entities such as individuals, other systems, devices, or any other entity that interacts with the system. The presence of sources holds great significance in establishing the system's requirements and determining its functionality. Their involvement aids in comprehending the system's behavior and enables effective use-case development.

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A florist has 36 roses, 27 tulips, and 18 carnations she must use to create bouquets. Each bouquet must have an equal number of each type of flower as the other bouquets. What is the largest number of bouquets she can make without having any flowers left over

Answers

To determine the largest number of bouquets without having any flowers left over, we need to find the greatest common divisor (GCD) of the numbers of each type of flower.

The GCD represents the largest possible number of bouquets that can be created with an equal number of each type of flower. In this case, the GCD of 36, 27, and 18 is found by factoring the numbers into their prime factors and identifying the highest power of common prime factors. The common prime factors between the numbers are 2 and 3,

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WILL GIVE BRAINLIEST!!

How do you think technology will aid in this year’s presidential election?

Do you think robots will replace humans in the workforce?

How does technology affect business and why?

Answers

Answer:

1) Since Corona is around, tech will have a huge aid on this year's presidential election. Only downside is that, technology can be easily hacked and someone could cheat in the election.

2) Robots will most likely replace humans in the workforce. But, if robots happen to replace humans, there will be less jobs and more poverty.

3) First and foremost, technology affects a firm's ability to communicate with customers. When customers use technology to interact with a business, the business benefits because better communication creates a stronger public image. But a negative impact of technology on business communication is that it can regularly reduce interpersonal relationships in an office. A lack of a collaborative environment can have an impact on teams.

Explanation:

‎‎‎‎‎‎‎‎‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎                                                

8. Write long answer of the following questions. a) How does computer works? Explain with the help of suitable diagram.​

Answers

A computer works by combining input, storage, processing, and output. All the main parts of a computer system are involved in one of these four processes. Input: Your keyboard and mouse, for example, are just input units—ways of getting information into your computer that it can process.

Fix the two words that are used incorrectly.
As
apart
of
her
latest
woodworking
project
Isabella
is
carving
a
dragon
to
go
on
top
of
a
weather
vein

Answers

It’s vane instead of “vein” instead of a use “the”
as part of her latest woodworking project, isabella is carving a dragon to go atop of a weather vein

Which best describes what databases do?

They guarantee users find needed data.

They create categories for data.

They identify important data.

They enable users to search for data.

Answers

They guarantee users find needed data

Answer:

a. they guarantee users find needed data.

what does a CPU use to temporarily store data
a) buffer
b) track
c) sector
d) cylinder​

Answers

Answer:

a) buffer is the right answer

Precisez la nature de l'information logique ou analogique pour chaque exaple ci dessous

Answers

Answer:

Bonjour pourriez vous m'aider svp ?

Précisez la nature de l'information (logique ou analogique pour chaque exemple ci dessous:

a) poids

b) conformité d'une pièce de monnaie

c) niveau d'eau dans une bouteille

d)porte ouverte ou fermée

e) force de pression

f) présence d'une personne dans une pièce

g)position angulaire

h) température inférieur ou supérieur à 15°C

i) vitesse du vent

j) présence de matériaux métallique à proximité

list three things that can spoil a printer if they are not of the correct specification and what damage may be caused​

Answers

Answer:

Debris, excess ink splatted around (from refilling probably), and the presence of small objects

Explanation:

contribute to paper jams and cause your printer to work inefficiently. Some printers have self-cleaning functions especially, for printer heads

Write a statement that defines plist to be the empty list.plist=[]plist=['spam','eggs','vikings']plist=[10,20,30,40,50,60,70,80,90,100]

Answers

plist=[];

plist=['spam','eggs','vikings'];

plist=[10,20,30,40,50,60,70,80,90,100]

Use a variable name in the loop, such as "num", "name", or "url", to record the type of item that is in the list if you are aware of it. Your variable names are a crucial way for you to stay on top of what's happening because Python programming lacks other grammar to serve as a type-reminder. (To some extent, this is false. Type hints, which let you include typing information in your function declarations, will become more common as you become more familiar with Python. While running your programs, Python doesn't make use of these type hints. They are utilized by other applications, like as IDEs (integrated development environments) and static analysis tools like linters/type checkers, to confirm that your functions are called with the correct parameters.

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plist=[];

plist=['spam','eggs','vikings'];

plist=[10,20,30,40,50,60,70,80,90,100]

Use a variable name in the loop, such as "num", "name", or "url", to record the type of item that is in the list if you are aware of it. Your variable names are a crucial way for you to stay on top of what's happening because Python programming lacks other grammar to serve as a type-reminder. (To some extent, this is false. Type hints, which let you include typing information in your function declarations, will become more common as you become more familiar with Python. While running your programs, Python doesn't make use of these type hints. They are utilized by other applications, like as IDEs (integrated development environments) and static analysis tools like linters/type checkers, to confirm that your functions are called with the correct parameters.

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2
ng and Upgrading Computers: Mastery Test
Select the correct answer.
Which of the following can computer maintenance software determine?
O A.
O B.
O C.
O D.
whether your hard drive is about to fail
whether your monitor or screen is drawing too much power
the humidity inside your desktop computer
the amount of dust inside your laptop
Reset
Next

Answers

whether your hard drive is about to fail can computer maintenance software determine.

What is computer maintenance software ?

Software that centralises maintenance data and streamlines maintenance operations is known as a computerised maintenance management system, or CMMS. It aids in maximising the use and accessibility of tangible assets like machines, transportation, communications, plant infrastructures, and other assets. CMMS systems, also known as computerised maintenance management information systems (CMMIS), are used in the manufacturing, energy, transportation, building, and other sectors where physical infrastructure is essential.

A CMMS's database is its fundamental component. The information regarding the assets that a maintenance organisation is responsible for maintaining, as well as the tools, supplies, and other resources needed to do so, are organised using a data model.

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Why is it important to understand the default settings?
Why would you customize a document?

Answers

It is important to understand the default settings of a document because they can affect the appearance and functionality of the document.

For example, the default font and margins can affect the readability and layout of the document. Understanding the default settings allows you to make informed decisions about how to customize the document to meet your specific needs.

How can you customize a document?

Customizing a document can be done for a variety of reasons. Some common reasons include:

Changing the appearance of the document to match a specific branding or style guideModifying the layout or organization of the document to make it more readable or user-friendlyAdding or removing specific elements from the document, such as images or sectionsAdapting the document for a specific audience or purpose.

With this in mind, you can see the importance of understanding default settings and also how to customize a document.

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1.Discuss about other models that has been integrated in CMMI-see lecture 5 slide no 5 2.Differentiate between mature and immature organization 3.When is suitable for organization to use Staged and Continuous representation? Explain why? 4.Find one example/case study of organization that apply Staged representation and one Continuous representation. End of questions

Answers

1. Other models that have been integrated into CMMI are:

There are various models that have been integrated into CMMI. Here are some models that have been integrated:


2. Differences between a mature and an immature organization:

Mature organizations are those that have well-defined processes that are consistently followed throughout the organization. These organizations are proactive in identifying and addressing problems and are constantly striving to improve their processes. On the other hand, immature organizations are those that have ad-hoc processes that are not consistently followed. These organizations are reactive in addressing problems and do not have a clear plan for process improvement.

3. When is it suitable for an organization to use the Staged and Continuous representation?

The staged representation is suitable for organizations that want to improve their processes in stages. This representation is ideal for organizations that want to achieve a certain level of maturity before moving on to the next level.

The continuous representation is suitable for organizations that want to improve their processes incrementally. This representation is ideal for organizations that want to address specific areas of their processes without having to follow a predefined set of stages.

representation has allowed Siemens AG to address specific areas of its processes without having to follow a predefined set of stages.

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Discuss a simple findpath problem using multiple point-mass robots in an obstacle cluttered 2-D bounded workspace. Derive the control laws using the Lyapunov-based Control Scheme and prove stability of the system. Design and discuss new potential field functions (without deriving new control laws) when a selection of the obstacles turn into landmarks (or waypoints) and guide the robots to their destination.

Answers

The problem of navigating multiple point-mass robots through a cluttered, bounded 2-D workspace can be addressed through a find path problem.

The control laws required to guide the robots through the workspace can be derived using a Lyapunov-based control scheme. In order to prove the stability of the system, the Lyapunov stability theorem can be applied to the control laws.
One way to design new potential field functions for guiding the robots to their destination when a selection of the obstacles turns into landmarks (or waypoints) is to use a combination of attraction and repulsion forces.

The attraction force would be directed towards the waypoint, while the repulsion force would be directed away from any obstacles in the robots' path. By balancing these forces, the robots can be guided towards their destination while avoiding collisions with obstacles.

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Use the pulldown menus below to match the name of the field with the function/purpose of a field within an Ethernet frame.

_____ Cyclic redundancy check (CRC) field
_____ Source address field
_____ Data (payload) field
_____ Type field.
_____ Sequence number field

A. Used to detect and possibly correct bit-level errors in the frame.
B. This field does not exist in the Ethernet frame
C. Used to demultiplex the payload up to a higher level protocol at the receiver.
D. The contents of this field is typically (bit not always) a network-layer IP datagram.
E. 48-bit MAC address of the sending node.

Answers

Matching the field names with their functions/purposes in an Ethernet frame:

_____ Cyclic redundancy check (CRC) field

A. Used to detect and possibly correct bit-level errors in the frame.

_____ Source address field

E. 48-bit MAC address of the sending node.

_____ Data (payload) field

C. Used to demultiplex the payload up to a higher-level protocol at the receiver.

_____ Type field.

D. The contents of this field are typically (but not always) a network-layer IP datagram.

_____ Sequence number field

B. This field does not exist in the Ethernet frame.

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define Microsoft Excel 2010​

Answers

Answer:

a very very old Microsoft application that only people on old pc's use now

Explanation:

Answer:

Microsoft Excel is a Microsoft software program that allows users to organize, format, and calculates data using the formulas of a tablet.

This program is part of the Microsoft Office Suite and supports other Office Suite applications. Microsoft Excel can now be purchased on subscription via cloud via office 365, as can other Microsoft Office products.

Explanation:

In Excel, entering a value column and clicking on a cell in the low sheet below allows the cell to add all of the numbers entered above to the "auto sum" button. This takes place in the manual leader counts, which before the development of the modern table were a labor-intensive part of the business.

Microsoft Excel is also a key user technology, useful in training and professional development, in various types of simple case applications. MS Excel has been included in basic corporate computer graduation training for several years, and temporary employment agencies may examine individuals for a wide variety of clerical duties on their skills with Microsoft Word and Microsoft Excel.

The data visualization principle has changed the Microsoft Excel usage cases. Where companies have used Microsoft Excel for, say, hundreds of records in the past, most business cases today involve tablets containing less than a dozen values for each particular project.

Unix inode is an example of _______ an index file a contiguous allocation. an indexed allocation a linked allocation

Answers

The UNIX inode is an example of linked allocation. False; the UNIX inode is an example of indexed allocation.

What is the inode in Unix?

In UNIX operating systems, an inode is a data structure that holds crucial details about files in a file system. In UNIX, a predetermined number of inodes are also created along with the file system. The inode table typically receives an allocation of 1% of the overall file system disk capacity.

What is linked allocation?

All issues with contiguous allocation are resolved by linked allocation. Each file in a linked allocation system consists of a list of disk blocks, which can be dispersed around the disk. A pointer to the file's start and end blocks is present in the directory.

What is indexed allocation?

Direct access is supported by indexed allocation without external fragmentation since any available free block on the disk can accommodate a request for more space. However, indexed allocation does experience wasted space. Think about a typical scenario when we have a file with just one or two blocks.

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A software license is an agreement between you and the owner of a software program that allows you to perform certain tasks with software, True or False?

Answers

True. The given statement A software license is an agreement between you and the owner of a software program that allows you to perform certain tasks with software is correct.

Is it accurate to say that a software license is a contract that you and the software program's creator have that enables you to carry out specific duties using the software?

The owner or developer of a software program and the user enter into a legally binding agreement called a software license that specifies how they can use and distribute the product.

What is a license that is paid for according to the number of computers or users of the software?

A software license model based on the number of unique users who have access to a digital service or product is known as a per-seat license (also known as a "named user license").

What is software that is made available to others with conditions or for a brief trial period?

Shareware is software that is made available to users under specified conditions or for a brief trial period. 12. The works, inventions, or creations of an individual, group, or company are considered to be intellectual property.

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I need some questions and answers in spreadsheet​

Answers

Answer:

you need to show what you need help with

Explanation:

A soldier white line down the center of a two lane road indicates

Answers

Answer:

This indicates that you may carefully switch lanes.

Explanation:

If dotted line, then yes.

the chief information officer (cio) is negotiating lease prices with several telecommunications providers. she wants a service that offers circuits that will link to various physical buildings and branches, including a connection to the physical demarcation point. for what network infrastructure will this service be used?

Answers

A number of telecom companies, the chief information officer (CIO) is negotiating leasing rates. Several computers are linked via a hub in a local area network (LAN).

What is domain?

Switches, one of the network's traffic controllers, typically operate at Layer.  By utilising packet switching, they enable the connection of several devices within a LAN while reducing the collision domain. To allow private network addresses to be converted to a random external port and public IP address, both network address translation (NAT) and port address translation (PAT) must be enabled. A demilitarised zone (DMZ) is a physical or logical subnet in computer networks that divides a local area network (LAN) from other untrusted networks, typically the public internet.

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A toolbar of round buttons that appear when you move the mouse when in Slide Show view id called ____________.A toolbar of round buttons that appear when you move the mouse when in Slide Show view id called ____________.

Answers

Answer:

the slide show toolbar is displayed

Submit your definitions for the words below:

gigabyte
intranet
pixel
telecommunication
modem
raster graphic
vector graphic
digital
GUI

Answers

Answer:

1. gigabyte- Technology branded as GIGABYTE or sometimes GIGA-BYTE; formally GIGA-BYTE Technology Co., Ltd. it is a Taiwanese manufacturer and distributor of computer hardware. Gigabyte's principal business is motherboards.

2. intranet-a computer network for sharing information, collaboration tools, operational systems, and other computing services within an organization, usually to the exclusion of access by outsiders.

3.  pixel-a minute area of illumination on a display screen, one of many from which an image is composed.

4. telecommunication-the transmission of information by various types of technologies over wire, radio, optical or other electromagnetic systems.

5. modem- a  combined device for modulation and demodulation, for example, between the digital data of a computer and the analog signal of a phone line.

6. raster graphic-In computer graphics and digital photography, a raster graphic or bitmap image is a dot matrix data structure that represents a generally rectangular grid of pixels (points of color), viewable via a bitmapped display (monitor), paper, or other display medium.

7.  vector graphic-computer graphics images that are defined in terms of points on a Cartesian plane, which are connected by lines and curves to form polygons and other shapes.

8.  digital-expressed as series of the digits 0 and 1, typically represented by values of a physical quantity such as voltage or magnetic polarization.GUI-a system of interactive visual components for computer software.

9. GUI- displays objects that convey information, and represent actions that can be taken by the user. The objects change color, size, or visibility when the user interacts with them.punineep and 15 more users found this answer helpful4.0(6 votes)

Explanation:

if you need to upscale an image, which algorithm is designed to give you the best results?

Answers

If you need to upscale an image, the algorithm that is designed to give you the best results is the Bicubic interpolation algorithm.What is image upscaling?Image upscaling is a technique that resizes an image by adding more pixels to it to make it appear larger.

Image upscaling is beneficial when you need to increase the size of an image without compromising its quality. Bicubic interpolation algorithmThe Bicubic interpolation algorithm is designed to give the best results when upscaling an image. Bicubic interpolation is an image scaling method that performs cubic interpolation in both the horizontal and vertical directions.

The Bicubic interpolation algorithm is more advanced than the nearest neighbor and bilinear interpolation algorithms, which are typically used to upscale images. The Bicubic algorithm considers 16 pixels to generate one new pixel, resulting in smoother, sharper edges and more accurate colors.

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awner this asap pls my cousins homework more coming up According to broken windows theory which crime is considered as the first broke. Window Yo i need help just with the answer to rounding 418,832 to the nearest ten thousand. data that does not accurately reflect the full population or phenomenon being studied What will be used to write to the pipe described in the following code. What will be used to write to the pipe desc int main () I int fds [2]; pipe (fds); fds[0] fds[1] pipe [0] pipe[1] Can people who answer questions on here just say the answer and then write the explanation after? I'm sure you have to do it like that so that brainly gets that sweet money from the ads, but i speak for every student on here when i say its anoyying and incompentent to have to spam refresh the page just to see the answer. Put the answer first. Find the axis of symmetry for the parabola whose equation is given. Use the axis of symmetry to find a second point on the parabola whose y-coordinate is tho same. as the given point. f(x)=2(x+3) 2 1:(2,1) The axis of symmetry is (Type an equation Simply your answer) Which statement will add a string to the string pool?OA. String newstring1 = "Hello";OB.String string1 = "Hello";OC. String string1 = String("Hello");OD. newString string1 = "Hello"; (y+3) y+5) answer please BJP5 Exercise 3.22: TheNameGameLanguage/Type: Java input Scanner StringsAuthor:Marty Stepp (added by Melissa Galloway on 2019/09/19)Write a complete program called "TheNameGame", where the user inputs a first and last name and a song in the following format is printed about their first, then last, name. Use a method to avoid redundancy.What is your name? Fifty CentFifty Fifty, bo-BiftyBanana-fana fo-FiftyFee-fi-mo-MiftyFIFTY!Cent Cent, bo-BentBanana-fana fo-FentFee-fi-mo-MentCENT! Write the following sum as a single logarithm. Assume all variables are positive. log_3(y) + log_3 (y + 5) = The answer format in lowercase characters is: log_base (number) Spaces in the answer are optional. For every adenine on one strand of DNA, there is a thymine on the opposing strand of DNA. For every cytosine on one strand of DNA, there is a guanine on the opposing strand of DNA. This is becauseDNA strands are complementary with each other. Consider the Solow model. Suppose that someone invents a miracle coating that, when sprayed on metal equipment, radically reduces the amount of wear and tear on machinery. Assume, for simplicity, that there is no population growth and no technological progress. a. Explain using words and graphs what effect this one-time event will have on the steady-state levels of capital per worker, output per worker, and consumption per worker? b. Assume that the economy was at a steady state before this innovation. Sketch the paths of investment, consumption, and output per worker over time as the economy moves to its new steady state. (See Figures 7-9 and 7-10 for examples) c. Draw a graph showing the effect this event will have on the Golden Rule level of capital per worker. (This will start as something like Figure 78, but then there will be a change to it that you have to determine.) . a solid object is rotating freely without experiencing any external torques. in this case (a) both the angular momentum and angular velocity have constant directions. Exercise 2 Correct the word in italics. If the word is correct, write C.I was all together astonished at the outcome of the story. What term best describes contractual agreements that restrict the use of land, ostensibly in order to preserve the value of adjacent land or a neighborhood A car's engine changesMechanical energy to chemical energyO Chemical energy to mechanical energy how do compounds separate on tlc based on polarity based on molecular weight based on capillary action based on solvent effects 3. What is the sum of the interior angles of a polygon with 32 sides? What are your zodiac signs? doing this for math class i have to make a pie chart im a gemini