If the manufacturers chosen by Brad, Danny and Sam are using a specific algorithm they are likely to be using an economic order quantity (EOQ).
The economic order quantity can be described as the maximum or the optimal quantity that would help a company to reduce its total costs in terms of ordering and receiving inventory
The question says that the three persons are using an algorithm to know the quantity of inventory that they are to order.
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question 3 what's a router? 1 point a device that knows how to forward data between independent networks. a more advanced version of a switch a physical layer device that prevents crosstalk a physical layer device that allows connections for many computers at once 4. question 4 which of these is a server?
The steps to follow in order to produce a Pivot table would be as mentioned below:
Opting the columns for a pivot table. Now, make a click on the insert option.
What is pivot table?This click is followed by opting for the pivot table and the data columns that are available in it. After this, the verification of the range of the table is made and then, the location for the pivot table has opted.
After this, the column is formatted and the number option is selected followed by the currency option, and the quantity of decimal places. A Pivot table allows one to establish a comparison between data of distinct categories(graphic, statistical, mathematical) and elaborate them.
Therefore, The steps to follow in order to produce a Pivot table would be as mentioned below:
Opting the columns for a pivot table. Now, make a click on the insert option.
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x = 0
while x < 4:
print(x)
x += 1
Make it a for loop
Answer: Here you go :)
Explanation:
x = 0
for n in range(4):
print(x)
A bottom-up approach is better for smaller problems.
Answer:
The correct answer is true.
Sorry for late answer.
Hope this helps.
Explanation:
I got it right on edge.
Answer:
True
Explanation:
What are the pros and cons of using ICT
Answer:
Communication - Speed / time – money can be saved because it's much quicker to move information around. ...
Globalization - Video conferencing saves money on flights and accommodation. ...
Cost effectiveness - It feels free to send an email (although it isn't); it's without doubt cheaper than phone calls.
Explanation:
In an attempt to reach an all-time record for its premier, ads for the highly anticipated Avengers: Endgame are run on all the major networks and cable stations across the country from 8:00 p.m. to 10:00 p.m., or during ________ time.
Based on the contextual situation, the cable stations across the country from 8:00 p.m. to 10:00 p.m., or during Late-fringe time.
What is Late-Fringe Time?Late Fringe time is a term used in television that describes the television hours that follow the prime time.
Generally, the prime period is usually between 8:00 p.m. to 10:00 p.m., while the Late Fringe time is around 11 p.m. to 1 a.m.
Hence, in this case, it is concluded that the correct answer is "Late-Fringe period."
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Describe the three steps involved in writing an action listener. [6 marks] (ii) A GUI application is used to multiply two numbers entered in the jTextField1 and jTextField2 textboxes and out put the result in the jTextField3 textbox. The application is designed in Netbeans and shown in the following Figure: When the multiply (x) button is double clicked the following is obtained: private void jButton1ActionPerformed(java.awt.event.ActionEvent evt) \} // TODO add your handling code here: । Write down the code required to achieve the desired function of the application. [7 marks] (b) (i) Differentiate between a thread and a process. [4 marks] (ii) Write a class that creates two threads using an anonymous subclass. The run method of the first thread prints "Thread 1 is running" and the second thread prints "Thread 2 is running". [8 marks]
The three steps involved in writing an action listener are:Implement the ActionListener interface: This is done by creating a class that implements the ActionListener interface.
This class will contain the code that specifies what action should be performed when the event occurs.Register the action listener: The action listener needs to be registered with the component that triggers the event. This is usually done using the addActionListener() method, which takes the instance of the action listener class as a parameter.Implement the actionPerformed() method: The actionPerformed() method is part of the ActionListener interface and is where the code for the desired action is written. This method is automatically called when the associated event occurs, and it should contain the logic to handle that event.
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Which of the following activities poses the greatest personal cybersecurity risk? A. Making a purchase on an online store that uses public key encryption to transmit information B. Paying a bill using a secure online electronic payment system C. Purchasing a couch by emailing a credit card number to the couch owner D.Checking a bank account on a bank’s website that uses HTTPS for secure communication
Answer:
C
Explanation:
por
Answer:
C.Purchasing a couch by emailing a credit card number to the couch owner
Explanation:
By emailing the credit card information, that person has access to using the credit card in many different ways that are harmful. It would be best to meet up with them and scan it or pay via paypal or other money services..
rest is an architecture to provide access to data over a network through an api. which of the following are true? pick one or more options rest is strictly a client-server interaction type meaning that the client performs requests and the server sends responses to these requests. rest is a server-server interaction meaning that both sides can make requests and send responses to requests. in rest architecture, a properly designed access endpoint should not specify actions as a part of the resource uri. instead, actions should be specified using appropriate protocol methods such as get, post, put, and delete over http. rest responses are not capable of specifying any caching related information regarding the accessed resource. caching must be resolved with other mechanisms.
Since Rest is an architecture to provide access to data over a network through an api. The option that is true is option c) In REST architecture, properly designed access endpoint should not specify actions as a part fo the resources URI. Instead, actions should be specified using appropriate protocol methods such as GET, POST, PUT, and DELETE over HTTP.
What is the issue about?The physical and logical layout of the software, hardware, protocols, and data transmission media is referred to as computer network architecture.
The organization of network services and hardware to meet the connection requirements of client devices and applications is known as network architecture.
Therefore, note that HTTP is the fundamental protocol for REST. Hence, you can select all but the third option by taking a closer look at HTTP. Consider best practices for implementing HTTP protocol method calls before choosing the third alternative.
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Storage devices where you save your files
For questions 1-3, consider the following code: x = int (input ("Enter a number: ")) if (x != 8): print ("A") if (x >= 10): print ("B") if (x < 10): print ("C") if (x % 2 == 1): print ("D") What is output if the user types in 13?
Answer:
ABD
Explanation:
13 not equal 8, greater than 10 and odd. Ifs will be executed step-by-step
Describa la clasificación de los recursos educativos digitales abiertos. vea este video, para hacer eso
hola una pregunta dónde está el vídeo ?
hola una pregunta dónde está el vídeo ?
write a function that accepts an array of numbers as an argument and returns their average. 2. write a function that accepts an array of numbers as an argument and returns the largest number in the array
The above program defines two functions, one to find the average of an array of numbers and the other to find the largest number in an array of numbers.
Write a function that accepts an array of numbers, arguments and, returns their average and largest number?1. Function to find the average of an array of numbers function findAverage(arr) {let sum = 0;for(let i = 0; i < arr.length; i++) {sum += arr[i];}let avg = sum/arr.length;return avg;}// calling the function with an array of numbersconsole.log(findAverage([1, 2, 3, 4, 5])); // output: 3 // 2. Function to find the largest number in an arrayfunction findLargestNumber(arr) {let largest = arr[0];for(let i = 1; i < arr.length; i++) {if(arr[i] > largest) {largest = arr[i];}}return largest;}// calling the function with an array of numbersconsole.log(findLargestNumber([1, 2, 3, 4, 5])); // output: 5
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2.4 Code Practice: Question 1
Write the code to input a number and print the square root. Use the absolute value function to make sure that if the user enters a negative number, the program does not crash. How do I do this in python ???
Code in Python:
num = float(input("Enter any number : "))
ab = abs(num)
sqrt = float(ab ** 0.5)
print(sqrt)
The code to input a number and print the square root is,
import math
# Input a number from the user
number = float(input("Enter a number: "))
# Use the absolute value function to handle negative numbers
abs_number = abs(number)
# Calculate the square root using the math module
sqrt_number = math.sqrt(abs_number)
# Print the square root
print(f"The square root of {number} is {sqrt_number}")
Given that,
Write the code to input a number and print the square root.
Now, A code snippet in Python that accomplishes what you described:
import math
# Input a number from the user
number = float(input("Enter a number: "))
# Use the absolute value function to handle negative numbers
abs_number = abs(number)
# Calculate the square root using the math module
sqrt_number = math.sqrt(abs_number)
# Print the square root
print(f"The square root of {number} is {sqrt_number}")
In this code, the abs() function ensures that even if the user enters a negative number, it will be converted to its positive equivalent before calculating the square root.
The math.sqrt() function is used to compute the square root, and the result is printed using the print() function.
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Think of a binary communication channel. It carries two types of signals denoted as 0 and 1. The noise in the system occurs when a transmitted 0 is received as a 1 and a transmitted 1 is received as a 0. For a given channel, assume the probability of transmitted 0 correctly being received is 0.95 = P(R0 I T0) and the probability of transmitted 1 correctly being received is 0.90 = P(R1 I T1). Also, the probability of transmitting a 0 is 0.45= P(T0). If a signal is sent, determine the
a. Probability that a 1 is received, P(R1)
b. Probability that a 0 is received, P(R0)
c. Probability that a 1 was transmitted given that a 1 was received
d. Probability that a 0 was transmitted given that a 0 was received
e. Probability of an error
In a binary communication channel, we are given the probabilities of correctly receiving a transmitted 0 and 1, as well as the probability of transmitting a 0.
a. To determine the probability of receiving a 1, we subtract the probability of receiving a 0 (0.45) from 1, resulting in P(R1) = 1 - P(R0) = 1 - 0.45 = 0.55.
b. To determine the probability of receiving a 0, we use the given probability of transmitted 0 correctly being received: P(R0 I T0) = 0.95. Since P(R0 I T0) is the complement of the error probability, we have P(R0) = 1 - P(error) = 1 - 0.05 = 0.55.
c. The probability that a 1 was transmitted given that a 1 was received is determined using Bayes' theorem: P(T1 I R1) = (P(R1 I T1) * P(T1)) / P(R1). Substituting the given values, we have P(T1 I R1) = (0.9 * 0.55) / 0.55 = 0.9.
d. Similarly, the probability that a 0 was transmitted given that a 0 was received is determined using Bayes' theorem: P(T0 I R0) = (P(R0 I T0) * P(T0)) / P(R0). Substituting the given values, we have P(T0 I R0) = (0.95 * 0.45) / 0.55 = 0.8936 (approximately).
e. The probability of an error is calculated as the sum of the probabilities of receiving the incorrect signal for both 0 and 1: P(error) = 1 - P(R0 I T0) + 1 - P(R1 I T1) = 1 - 0.95 + 1 - 0.9 = 0.05 + 0.1 = 0.1564 (approximately).
In summary, we determined the probabilities of receiving 1 and 0, the conditional probabilities of transmitted signals given the received signals, and the probability of an error for the given binary communication channel.
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the ________ directive causes the contents of another file to be inserted into a program.
The #include directive causes the contents and resources of another file to be inserted into a software program.
What is a file?A file can be defined as a computer resource that avails an end user the ability to store, save, or record data as a single unit on a computer storage device.
In Computer programming, the #include directive is a command which causes the contents and resources of another file to be inserted into a software program.
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What are software applications?
lines of code that were written by developers
devices that you insert into the computer
files that are stored on the computer
Answer:
the person above is correct if i were you id take notes!
Explanation:
Answer:
Only A (Top answer)
Explanation:
Files do not create any software alltogether and devices pluged in are not considered software.
An electric toothbrush costs $56, including a 40% price markup. What was the cost for the store to purchase the electric toothbrush?.
An electric toothbrush costs $56, including a 40% price markup. The cost for the store to purchase is $22.40. The correct option is A.
What is the percentage?A percentage is a figure or ratio that can be written as a fraction of one hundred or as a relative value denoting one-hundredth of any amount.
Given that the cost of an electric toothbrush = $ 56
And, The price of markup = 40%
Now,
Since, The cost of an electric toothbrush = $ 56
And, The price of markup = 40%
So, The cost for the store to purchase the electric toothbrush is;
(40% of $56)
(40/100 x 56) = $22.4
Therefore, the cost for the store to purchase the electric toothbrush is $22.40. The correct option is A.
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The question is incomplete. Your most probably complete question is given below:
A) $22.40
B) $30.00
C) $40.00
D) $64.80
1. on a vlsm network, which mask should you use on point-to-point wan links to reduce the waste of ip addresses?
An interface that serves as the terminus of a point-to-point network frequently has a 31-bit subnet mask.
What is meant by vlsm network?Variable Length Subnet Mask (VLSM) is a subnet design method where all subnet masks can have different widths. A subnet is a segmented portion of a larger network. Network engineers can utilize several masks for various subnets of a single class A, B, or C network by "subnetting subnets," which is the procedure.
By using the VLSM (Variable Length Subnet Mask) technique, network managers can partition an IP address space into subnets of various sizes as opposed to subnets of the same size.
For the same class of addresses, VLSM enables the use of several subnet masks across the network. Point-to-point links between routers, for instance, can utilize a /30 subnet mask, which provides two host addresses per subnet.
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Professionals in the information technology career cluster have basic to advanced knowledge of computers, proficiency in using productivity software, and .
Answer:
The answer is "Internet skills ".
Explanation:
Internet skills are needed to process and analyze which others generate or download. Online communication abilities should be used to construct, recognize, and exchange info on the Web.
Creating these capabilities would enable you to feel more positive while using new technology and complete things so quickly that's why the above choice is correct.
at the moment, the job column of the sf table is not sorted (no particular order). would the arrays you generated in the jobs column of the previous question be the same if we had sorted alphabetically instead before generating them? explain your answer. to receive full credit, your answer should reference how the .group method works, and how sorting the jobs column would affect this.
No, the arrays generated in the jobs column of the previous question would not be the same if the job column was sorted alphabetically before generating them.
Sorting the job column would change the order in which the jobs appear, which would in turn change the order in which they are added to the arrays.For example, if the original job column had the following jobs in order: "teacher", "engineer", "doctor", "teacher", "programmer", "doctor", "nurse", "teacher", the corresponding arrays generated in the previous question might be [3, 1, 2, 3, 4, 2, 5, 3] for job_count and ["teacher", "engineer", "doctor", "programmer", "nurse"] for job_names. If the job column were sorted alphabetically before generating these arrays, the resulting arrays might be different, depending on the order in which the jobs appeared after sorting.To know more about arrays visit:
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How large does a telsa coil need to be to transmit wireless electricity
The size of the largest operational Tesla Coil is measured to be 38ft or 12 meters. It transmits about 138kw of electricity.
What is a Tesla Coil?Nikola Tesla invented the Tesla coil, an electrical resonant transformer circuit, in 1891. It is used to generate high-voltage, low-current, high-frequency alternating current.
During his efforts to construct a "wireless" lighting system with gas discharge light bulbs that would shine in an oscillating electric field generated by a high voltage, high-frequency power source, Tesla devised the Tesla coil.
Tesla coils provide various health risks owing to high voltage radio frequency emission, including skin burns and nervous system and heart damage.
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what does setting interrogation succeeded voice call forwarding?
Interrogation parameters Succeeded Voice call forwarding when an answer is not received is enabled. On each call. Disabled.
If forwarding is displayed as being enabled (it will say "Enabled" and display the number it is configured to forward to), you can disable it by returning to the keypad and inputting ##21# and touching. Voice calling is the capacity to reach out to and speak on the phone in real time with other people. When the caller and the callee—or both—are using a phone line—either a mobile device or a landline phone—then the call is being made in the classic sense. An entirely software-based call, in-app voice calling involves the transmission of audio and/or video data between the caller and the callee over the Internet. Voice calls come in a variety of forms, such as individual calls, talk group calls, phone calls, and gateway calls. Watch the video below and read the Voice Calls lesson that it is accompanied with if you want to understand more about these calls and how they function.
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A _____ is a type of an intentional computer and network threat.
backdoor
A malware is basically a type of an intentional computer and network threat.
What is malware?The best examples of purposeful threats, or when someone knowingly destroys data or property, are computer crimes.
Espionage, identity theft, and credit card fraud are all examples of computer crimes.
Any programme or file that purposefully hurts a computer, network, or server is known as malware, or malicious software.
Computer viruses, worms, Trojan horses, ransomware, and spyware are examples of malware.
Thus, the answer is malware.
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114. Flatten Binary Tree to Linked ListGiven a binary tree, flatten it to a linked list in-place.For example, given the following tree: 1 / \ 2 5 / \ \3 4 6look like: 1 -> 2 -> 3 -> 4 -> 5 -> 6
To flatten a binary tree to a linked list in-place, we can use a recursive approach.
We start by flattening the left and right subtrees of the current node, and then we move the flattened right subtree to the right of the flattened left subtree. Finally, we set the left child of the current node to null and the right child to the flattened subtree.
Here's an implementation in Python:
```
class Solution:
def flatten(self, root: TreeNode) -> None:
"""
Do not return anything, modify root in-place instead.
"""
if not root:
return
self.flatten(root.left)
self.flatten(root.right)
if root.left:
right_subtree = root.right
root.right = root.left
root.left = None
# Find the end of the flattened left subtree
end = root.right
while end.right:
end = end.right
# Append the flattened right subtree
end.right = right_subtree
```
In the example given, the binary tree would be flattened to the linked list: 1 -> 2 -> 3 -> 4 -> 5 -> 6.
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what is one step you can take to protect your personal information?
Answer:
Strong passwords
not telling paswords
dont put your personal info online
dont fool for skams
etc
Explanation:
happropriate Conduct When Using Digital
Technology
pset with Elizabeth for dumping him. He became even more upset when he found out that she was
ating someone else. Jerry wanted to get revenge on Elizabeth for breaking up with him. He decided to
mare a secret, sexual photo that Elizabeth sent to him when they were dating. Jerry sent Elizabeth's
exual photo to three of his friends. His three friends chose to send it to many of their friends. By the end
of the day, the sexual photo that Elizabeth thought was a secret had been shared with many people,
ncluding strangers.
What happened due to Jerry and Elizabeth sexting? How do you think Elizabeth feels? What do you think
Jerry's punishment should be for sending Elizabeth's photo?
Inappropriate Conduct using Digital Technology.
After reading the paragraph, due to Jerry and Elizabeth sexting, Elizabeth's sexual pictures got leaked since Jerry could not accept that he was dumped and he got offended when he saw that Elizabeth was already dating someone else.
I think that Elizabeth is right now in a state of depression where she cannot trust anyone and will obviously lose the way she had been living her life, this event might have even given her social anxiety where she cannot face anyone outside of her house.
I think that Jerry should be just boycotted everywhere, and he should be stripped of any social media presence, but even this wouldn't be enough for the mental damage he has done to Elizabeth.
How to stay safe while using digital technology?
Consider acquiring a new digital device like a new phone or obtaining a separate donated phone from a shelter for more privacy and security (e.g. a pay-as-you-go phone).To find out if a phone has been stowed away, mechanics or police enforcement can inspect the car.Contact your carrier to secure your digital account with a password or code to prevent unauthorized access.Additionally, see if your digital device has any installed programs that independently request access to and usage of your real-time location, such as for navigational purposes. Some hidden programs may become visible if "display all/hidden applications" is selected as a setting. Take into account shutting down or removing these programs.Change your Bluetooth's default password, make it hidden, and disable it using your phone's settings.In an emergency, call 911 and provide your location.To learn more about digital technology, use the link given
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virtual conections with science and technology. Explain , what are being revealed and what are being concealed
Some people believe that there is a spiritual connection between science and technology. They believe that science is a way of understanding the natural world, and that technology is a way of using that knowledge to improve the human condition. Others believe that science and technology are two separate disciplines, and that there is no spiritual connection between them.
What is technology?
Technology is the use of knowledge in a specific, repeatable manner to achieve useful aims. The outcome of such an effort may also be referred to as technology. Technology is widely used in daily life, as well as in the fields of science, industry, communication, and transportation. Society has changed as a result of numerous technological advances. The earliest known technology is indeed the stone tool, which was employed in the prehistoric past. This was followed by the use of fire, which helped fuel the Ice Age development of language and the expansion of the human brain. The Bronze Age wheel's development paved the way for longer journeys and the development of more sophisticated devices.
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a user's monitor displays a distortedly large image. to fix the resolution problem, the it specialist performs which software troubleshooting steps? (select all that apply.)
To fix the resolution problem of a distortedly large image on a user's monitor, the IT specialist may perform the following software troubleshooting steps: a) Adjust the display resolution settings, b) Update the graphics driver, c) Check for and install monitor driver updates, and d) Reset the monitor settings to default.
a) Adjust the display resolution settings: The IT specialist can navigate to the display settings on the computer and modify the resolution to a suitable setting that matches the monitor's native resolution.
b) Update the graphics driver: Outdated or incompatible graphics drivers can cause display issues. The IT specialist can update the graphics driver to the latest version provided by the manufacturer.
c) Check for and install monitor driver updates: Installing updated monitor drivers can improve compatibility and resolve display problems. The IT specialist can check the manufacturer's website for any available driver updates.
d) Reset the monitor settings to default: If the monitor has its own settings menu, the IT specialist can reset the monitor to its default settings, which can help resolve any configuration issues causing the distorted image.
Option A, B, C, and D are the answers.
""
a user's monitor displays a distortedly large image. to fix the resolution problem, the it specialist performs which software troubleshooting steps? (select all that apply.)
a) Adjust the display resolution settings
b) Update the graphics driver
c) Check for and install monitor driver updates
d) Reset the monitor settings to default.
""
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suppose you want to put the six bit value 111101into a des s-box.what is the corresponding row of the s-box substitution table?
The six-bit value 111101 in a DES S-box has a corresponding row of 15 in the S-box substitution table.
What is the S-box substitution table?
An S-box substitution table is a table used in cryptography to substitute bit values. It is used in the Data Encryption Standard (DES) as well as in Advanced Encryption Standard (AES). S-box substitution tables are used in various encryption methods to substitute bit values, resulting in the permutation of data. In the Data Encryption Standard, substitution boxes or S-boxes are used to perform the substitution of bit values in encrypted messages. Substitution is a cryptographic operation in which each bit in a value is replaced with another bit. The substitution is performed using S-box substitution tables, which are specific to each round of encryption.
Here is the S-box substitution table for the Data Encryption Standard:
This is the S-box substitution table for the DES with bit values ranging from 0 to 15. The six-bit value 111101 in a DES S-box has a corresponding row of 15 in the S-box substitution table. The sixth bit of the S-box input value determines the row, while the first and last bits are used to determine the column of the S-box substitution table. The row number is calculated by taking the first and last bit of the S-box input value, while the column number is calculated using the four middle bits of the input value. Therefore, the corresponding row number for 111101 is 15.
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Problem 1 k-closest points to the origin We have a list of points on the plane. Find the k closest points to the origin, (0,0). (Here, the distance between two points on a plane is the Euclidean distance.) You may return the answer in any order. The answer is guaranteed to be unique (except for the order that it is in.) Example 1 Input: points = [[1,3), (-2,2]], k = 1 Output: [[-2, 2]] Explanation: The distance between (1,3) and the origin is 10. The distance between (-2,2) and the origin is V8. Since V8 < V10, (-2, 2) is closer to the origin. We only want the closest k = 1 points from the origin, so the answer is just [(-2,2]]. Example 2 Input: points = [[3, 3), (5, -1], [-2, 4]], k = 2 Output: [[3,3), (-2, 4]] (The answer (1-2, 4), (3, 3]] would also be accepted.) It is important that you solve this problem using divide and conquer. That is, you have to reduce the original problem into one or more subproblems, recursively solve the subproblems, and then combine the solutions to obtain the solution to the original problem. Your solution should take O(n) time in the worst case. Note that you cannot use sorting, as this will take O(n log n) time. Note that the LeetCode webpage may accept a solution that is not O(n) in the worst case. By contrast, we require the solution to be O(n) in the worst case. Additionally, some solutions on LeetCode do not use divide and conquer. These are not acceptable solutions. Some solutions posted may also be wrong. In any case, a solution that is largely copied from another source (e.g., verbatim or made to look different by simply changing variable names) will be in violation of the Academic Honesty Policy. The following must be submitted. (a) Writeup (50 Points) • Pseudocode for your solution, with an explanation in words why your solution works. (25 points) • Analysis, showing the correctness of your algorithm and its complexity (i.e., its runtime). (25 points) (b) Source Code (50 Points) • Write your solution in Python, C, C++, Java, or JavaScript. • Your code should be well written and well commented. • A comment with a link to your Leet Code profile (e.g., https://leetcode.com/jane-doe/) and a statement of whether or not your code was accepted by Leet Code. We will verify whether your code is accepted. • We must be able to directly copy and paste your code into LeetCode at the Leet Code problem page. If your code does not compile on Leet Code, it will will receive zero points. Under no circumstances will we attempt to modify any submission, so be sure the code you submit works. 1 Pseudocode and Explanation Algorithm 1 Closest Points - k closest points to the origin 1: def CLOSESTPOINTS(S, k): Input An array S of points in the plane and a positive integer k. Output The k points in S closest to the origin. 2: SI if n= some number: 4: Base Case Stuff else: 6: Recursive Step Stuff n 3: ► Base Case 5: Recursive Step 2 Analysis
The algorithm provides an O(n) solution for finding the k closest points to the origin, satisfying the requirements stated in the problem statement.
Pseudocode:
def closestPoints(points, k):
return divideAndConquer(points, k)
def divideAndConquer(points, k):
if len(points) <= k:
return points
else:
mid = len(points) // 2
left = divideAndConquer(points[:mid], k)
right = divideAndConquer(points[mid:], k)
return merge(left, right, k)
def merge(left, right, k):
merged = []
i = 0
j = 0
while i < len(left) and j < len(right):
if distanceFromOrigin(left[i]) < distanceFromOrigin(right[j]):
merged.append(left[i])
i += 1
else:
merged.append(right[j])
j += 1
while i < len(left):
merged.append(left[i])
i += 1
while j < len(right):
merged.append(right[j])
j += 1
return merged[:k]
The solution utilizes a divide and conquer approach to find the k closest points to the origin. The main idea is to recursively divide the set of points into smaller subproblems until the base case is reached. The base case is when the number of points is less than or equal to k, in which case we can directly return the points as the k closest points.
In the divide and conquer step, we split the set of points into two halves and recursively call the function on each half. This is done until we reach the base case. After obtaining the closest points from each half, we merge them by comparing the distances from the origin. The points are merged in ascending order of their distances.
The merge function compares the distances of the points from the origin and appends them to the merged list accordingly. It ensures that the k closest points are returned by slicing the merged list up to the first k elements.
The algorithm works correctly because at each step, it selects the points with the smallest distances from the origin and merges them in ascending order. By recursively dividing and merging, the algorithm effectively finds the k closest points.
Complexity Analysis:
The time complexity of the algorithm is O(n), where n is the number of points. This is because, at each level of recursion, the total number of points processed is linearly reduced. In the worst case, the algorithm visits each point once, resulting in a linear runtime.
The space complexity is O(n) as well, due to the recursive calls and the storage of the merged list. However, it should be noted that the space usage is limited to the maximum number of points being merged at any given time, rather than the total number of points.
Overall, the algorithm provides an O(n) solution for finding the k closest points to the origin, satisfying the requirements stated in the problem statement.
Learn more about space complexity visit:
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