Use truth tables to show that the following pairs of expressions are logically equivalent.

(a) p ↔ q and (p → q) ∧ (q → p)

(b) ¬(p ↔ q) and ¬p ↔ q

(c) ¬p → q and p ∨ q

Answers

Answer 1

Answer:

I attached you a picture with the answers

Explanation:

A truth table is a tabular representation of all the combinations of values for inputs and their corresponding outputs. It is a mathematical table that shows all possible outcomes that would occur from all possible scenarios that are considered factual, hence the name. Truth tables are usually used for logic problems as in Boolean algebra and electronic circuits.

Use Truth Tables To Show That The Following Pairs Of Expressions Are Logically Equivalent.(a) P Q And

Related Questions

Discuss the purpose of these Windows CLI commands

Answers

Answer:

 The window CLI command in the computer is basically stand for the command line interface. The command line interface is basically define as interacting with the various computer programs where the users use the command in the program by using various command lines.

The basic purpose of the CLI commands is that it takes less resources of the computer system. In earlier year of the computing this command used as a standard way for interacting with the computer other than mouse.

The command line interface (CLI) is basically handle the interface of the program. It is also known as command line processor.

Convert (65.125)10 to octal.

Answers

Answer:

101.1

Explanation:

Keep in mind that octal has 8 numbers

Step 1: Split your number in 2 parts (integer part and decimal part):

integer part 65decimal part 0.125

Step 2: Convert the decimal part. For this step you need to multiply your decimal part and 8 (8 correspond the octal base) and get the integer part until you need it:

      0.125 * 8 =  1

So your decimal part correspond to number 1 in octal = (1)8

Step 3: Convert integer part: for this step you need to divide your integer part by 8 until you can and get the remainder

      65 / 8 = 8 remainder 1

        8 / 8 = 1 remainder 0

         1 / 8 = 0 remainder 1

Step 4: join the remainders from bottom to top and get the integer part

            101

Step 5: join the integer part and the decimal part to get the octal convertion

              101.1

Write a program which asks the user his/ her last name, stores it in a variable called lname, then asks What is your age? and stores it in a variable called age. After this, the program displays a userid, for example as follows: What is your last name? Jones What is your age? 20 Your user id is: Jones20

Answers

Answer:

// program in C++.

#include <bits/stdc++.h>

using namespace std;

// main function

int main()

{

   // variables

   int age;

   string lname;

   cout<<"Enter your last name:";

   // read last name

   cin>>lname;

   cout<<"Enter your age:";

   // read age

   cin>>age;

  // print user id

   cout<<"Your user id is: "<<lname<<" "<<age<<endl;

return 0;

}

Explanation:

Read last name from user and assign it to variable "lname".Then read age from user and assign it to variable "age".After this print the user id as last name followed by age.

Output:

Enter your last name:singh

Enter your age:24

Your user id is: singh 24

Write an if statement that assigns 100 to x when y is equal to 0.

Answers

Answer:

if(y==0)

{

   x=100;

}

Explanation:

The above written if statement is for assigning 100 to x when the value of y is equal to 0.To check the value of the y I have used equal operator == which returns true when the value on it's left side is equal to the value to it's right else it returns false and for assigning the value to y I have used assignment operator =.

First it will be checked that the value y is equal to 0.If the then it return true means the if statement will execute.Inside if statement 100 is assigned to x.

python

if y == 0:

   x = 100

This code assigns 100 to `x` when `y` equals 0. It uses an `if` statement to check the condition (`y == 0`) and performs the assignment accordingly.

In Python, an `if` statement can be used to conditionally assign a value to a variable. Here’s how you can assign 100 to `x` when `y` equals 0:

python

if y == 0:

   x = 100

In this code:

- `if y == 0:` checks if the variable `y` is equal to 0.

- If the condition (`y == 0`) is true, then the statement `x = 100` is executed.

- If `y` is not equal to 0, `x` will remain unchanged (assuming it has been previously defined).

This construct is straightforward: it assigns 100 to `x` only when `y` meets the specified condition. If you need `x` to have a default value when `y` is not 0, you should define `x` beforehand or provide an `else` clause to handle other cases. For example:

python

if y == 0:

   x = 100

else:

   x = default_value  # define default_value according to your needs

This ensures `x` always has a defined value, depending on the value of `y`.

What are the testing levels?

Answers

Answer:

There are different levels of the testing that are:

Unit testing:

 The unit testing basically test the individual components in the software testing. It is the small testable part in the software that is used for testing.

Integration testing:

 It basically test the integrated components in the software testing. The integration testing evaluate the specific requirement and functionality of the system.

System testing:  

  The system testing involve with the process of testing the entire system in the software testing. It basically evaluate the entire system and its specific requirement in the software system testing.

supppose we already have a list called words, containing all the words(i.e., string).Write code that produce a sorted list with all duplicate words removed. For example, if words ==['hello', 'mother','hello','father','here','i','am','hello'], your code would produce the list ['am','father','hello','here','i','mother'].

Answers

Answer:

I will code in Javascript.

//define and initialize both arrays.

var words = ['hello', 'mother','hello','father','here','i','am','hello'];

var sortedList = [];

 

 for ( var i = 0;  i < words.length ; i++ ){  //loop used to go throght the words

   var duplicated = false;  // boolean used for detect duplicates

   for ( var j = i + 1;  j < words.length ; j++ ) {  //loop used to compare with other words

     if( words[i] == words[j] ) {  //if the word is duplicated, duplicated becomes true.

       duplicated = true;

       break;

     }

   }

   if (! duplicated) {  //if at the end of the loop of each word duplicated is false, then the element is pushed into sortedList.

     sortedList.push(words[i]);    

   }

 }

 sortedList.sort(); //when the loop is finished, use the Javascript method to sort an array.

Assume you have taken another square picture with the 25-megapixel digital camera discussed in the previous question. This time around you decide to view the picture on your computer screen that can display 2000 pixels by 1000 pixels. What fraction of the image is viewable on the screen? Tnoo

Answers

Answer:

8% of the picture

Explanation:

Given:

Square picture pixels = 25 MP

Pixels that can be displayed by the computer = 2000 pixels by 1000 pixels

or

Pixels that can be displayed by the computer = 2000000 pixels

Now,

The fraction of picture viewable on the screen = [tex]\frac{\textup{2MP}}{\textup{25MP}}[/tex]

or

The fraction of picture viewable on the screen = 0.08

or

The fraction of picture viewable on the screen = 8% of the picture

As the period of a sine wave decreases, the frequency __________________ .

a. decreases b. increases c. remains the same d. doubles

Answers

Answer:

b. increases

Explanation:

As the time period of a sine wave decreases, the frequency increases.

Frequency and time period follow an inverse relationship. Larger the time period, lower is the frequency and vice versa. Frequency measure the number of repetitions of the wave per unit time. Time period measures the time taken to complete one cycle of the sine wave. So larger the time to complete one cycle, smaller will be the number of cycles completed in unit time.

As the period of a sine wave decreases, the frequency **increases**. So, the answer is **b. increases**.

As the period of a sine wave decreases, it means that each cycle of the wave takes less time to complete. Frequency is the number of cycles of a wave that occur in a unit of time.

Therefore, when the period decreases, more cycles occur in the same amount of time, leading to an increase in frequency. Mathematically, frequency (f) is the reciprocal of the period (T), so as T decreases, 1/T increases, resulting in an increase in frequency.

This relationship is described by the equation f = 1/T. Hence, as the period decreases, the frequency of the sine wave increases. Therefore, option **b. increases** is the correct choice.

What is the difference between frontend and backend web development?

Answers

Answer:

 Front- end web development:

  The front end web development is basically focused on the client side and it manage the web designing of the web browser.

 It basically responsible for analyzing the code, designing and debugging various types of web applications. The front end developers basically design the architecture of the site.

 The front end refers in the web development what the users actually see first in the web browser.  

Back- end web development:

In back end web development the code is basically run in the server opposed the client. The back end developer are not basically understand the programming and coding language. It only deals with the outside architecture of the web applications.  

It is usually divided into three parts that is:  

ServerApplication Database

Discuss trends in cellular data transmission speeds

Answers

Answer:

  There are various types of cellular data with the different transmission speeds that are: 1G,2G,3G and 4G.

1st generation network:

The 1st generation network is known as cellular network data transmission that contain analog system. It has 2.4kbps speed range. It is widely used in various services like public voice.

 2nd generation network:

The second generation network is basically based on the digital system. The global positioning system (GSM) is one of the important service in the 2nd generation network. It basically provide different types of services that are:

    GSM provide upto 2.5G range of speed and GSM EDGE upto 23kbps services.

 3rd generation network:

 It the wireless service that is basically based on the digital system. It provide various types of services like mobile interne, video calling and wireless type of telephones.

  4th generation network:

 It is one of the high digital data transmission rate and it is basically represented as the LTE.  The 4G provide many types of services like  multimedia services and telephone and gaming services.

Answer:

   Worldwide, operators and manufacturers like Samsung, Xiaomi, LG, Motorola, ZTE or Huawei are adapting equipment to offer consumers this kind of revolutionary connectivity that comes to the market.

   The expectation that we are facing a technological breakthrough is because 5G has the potential to change the way we use the internet.

   If 4G and its variations allowed us to connect people, 5G will allow us a much broader connection to the things around us. Your phone, for example, will probably be faster than your home's wifi.

   The speed of 4G, which is probably within your grasp right now, is 1 Gbps per second. The new network, at its full potential, will be able to deliver a standard speed of 20 Gbps per second, according to UK regulator Ofcom.

   What does this mean in practice? How long does it take to download a 5G video? And watch a movie in streaming?

Downloading a 1-hour playlist on Spotfy took about 7 minutes with 3G, 20 seconds with 4G, and with 5G that time would be 0.6 seconds.

   If you want to take a movie to watch while you're on the go - offline - service offered by platforms like Amazon Premium or Netflix - it will take you 3.7 seconds to download it while spending about 2 minutes on 4G .

   The popular Fortnite game takes 14 minutes to download using 4G technology and the expectation is that with 5G it will take 24 seconds.

   In terms of speed, one of the key factors is called latency, ie the network's responsiveness to a request.

   With 5G, it will be reduced to one millisecond - a significant gain compared to the 20 seconds of the 4G network.

   It's an essential factor "for activities such as broadcasting a live game in virtual reality or for a surgeon in New York to control a pair of robotic arms performing a procedure in Santiago," explains the next-generation networking optics expert, Abraham Valdebenito in an article.

   In short, we can send and receive data almost instantly.

A sine wave has a period of 5 msec. What is the frequency?

Answers

Answer:

200 Hz

Explanation:

The period of a sine wave is 5 milliseconds.

That means the each cycle in the wave takes up 5 milliseconds.

So the frequency of the wave is the inverse of the time period, namely, 1/(5 * 10 ^ -3)

=1000/5 = 200 per second or 200 Hertz.

So the frequency of the wave will be 200 Hertz which means that the wave will complete 200 cycles per second. Larger the time period, lower is the frequency and vice versa.

Final answer:

The frequency of a sine wave with a period of 5 msec (milliseconds) is 200 Hz, meaning it oscillates 200 times per second.

Explanation:

A sine wave with a period of 5 msec (milliseconds) is being discussed. The frequency, which is the measure of how many times a cycle of the wave occurs in one second, can be calculated using the relationship where frequency (f) is the inverse of the period (T). Given f = 1/T, and understanding that 1 millisecond (msec) is equal to 0.001 seconds, a period of 5 msec converts to 0.005 seconds.

Therefore, the frequency of the sine wave is calculated as 1 / 0.005 s = 200 Hz. This means the sine wave oscillates 200 times per second.

Write a program that has a while loop to print out the first five multiples of 15, 43, and 273 between the numbers of 3168 and 376020. Put each of the three sets of multiples on a new line.

Answers

Answer:

#include <iostream>

using namespace std;

void printmultiples(int n) //function to print first five multiples between 3168 and 376020

{

   int a =3168,c=1;

   cout<<"First five multiples of "<<n<<" are : ";

   while(a%n!=0 && a<=376020) //finding first mutiple of n after 3168.

   {

       a++;

   }

   while(c<6)//printing multiples.

   {

       cout<<a<<" ";

       a+=n;

       c++;

   }

   cout<<endl;

}

int main() {

   int t,n;

   cin>>t;//How many times you want to check.

   while(t--)

   {

       cin>>n;

       printmultiples(n);//function call..

   }

return 0;

}

Input:-

3

15

43

273

Output:-

First five multiples of 15 are : 3180 3195 3210 3225 3240  

First five multiples of 43 are : 3182 3225 3268 3311 3354  

First five multiples of 273 are : 3276 3549 3822 4095 4368

Explanation:

I have used a function to find the first five multiples of the of the numbers.The program can find the first five multiples of any integer between 3168 and 376020.In the function I have used while loop.First while loop is to find the first multiple of the integer n passed as an argument in the function.Then the next loop prints the first five multiples by just adding n to the first multiple.

In the main function t is for the number of times you want to print the multiples.In our case it is 3 Then input the integers whose multiples you want to find.

. When does Groupthink occur?

Answers

Answer:

 The group-think is the phenomena which basically occur when the group of people reached conses without any critical reasoning and also without evaluating any consequences.

It is basically based on the common desire and it occur without disturb and upset the group of people.

There are many causes of the group think that are:

Due to the group cohesivenessIt causes due to rigid leadership and various decisions stress.Due to overall group isolation

Write a recursive function using pseudocode or C/C++.

Answers

Answer:

long fact(int n)

{

   if(n<=1)//base case

   return 1;  

   long p=fact(n-1);//recursive call.

   return n*p;//returning the factorial.

}

Explanation:

Above written function is written in C++ language.It is a recursive function to find the factorial of the function.

If we enter a number  equal to  or  less than  1  then the function returns 1. Then the recursive call  is made  and it is stored  in the long  variable  p and  the result is returned as n*p.

python programming The jackpot of a lottery is paid in 20 annual installments. There is also a cash option, which pays the winner 65% of the jackpot instantly. In either case 30% of the winnings will be withheld for tax. Design a program to do the following. Ask the user to enter the jackpot amount. Calculate and display how much money the winner will receive annually before tax and after tax if annual installments is chosen. Also calculate and display how much money the winner will receive instantly before and after tax if cash option is chosen.

Answers

Answer:

#here is code in python

#read the jackpot amount

amount=float(input("please enter the jackpot amount:"))

#read choice of payment

user_choice=input("enter your choice of payment(1 for cash, 2 for installments):")

#if choice is cash

if user_choice=='1':

#instant amount before tax

   b_tax=amount*.65;

#instant amount after tax

   a_tax=(amount*.70)*.65;

   print("instantly received amount before tax : ",b_tax)

   print("instantly received amount after tax : ",a_tax)

#if choice is installment

elif user_choice=='2':

#installment amount before tax

   b_tax=amount/20;

#installment amount after tax

   a_tax=(amount*.70)/20;

   print("installment amount before tax : ",b_tax)

   print("installment amount before tax : ",a_tax)

Explanation:

Read the jackpot amount from user.Next read the choice of Payment from user. If user's choice is cash then calculate 65% instantly amount received by user before and after the 30% tax.Print both the amount.Similarly if user's choice is installments then find 20 installments before and after 30% tax.Print the amount before and after the tax.

Output:

please enter the jackpot amount:2000

enter your choice of payment(1 for cash, 2 for installments):2

installment amount before tax :  100.0

installment amount before tax :  70.0

CRM systems provide an organization with an important element: all employees of the company who directly or indirectly serve a customer are "____."
in the same category
in the same department
in the same division
on the same page

Answers

Answer: On the same page

Explanation:

 The CRM is basically stand for the customer relationship management that are design to support all the relationship with the customers. It basically analysis the data about the customers to improve the relationship and growth in the organization.

All the employees in the organization are directly and indirectly server the customers are basically o the Same page by the individual computers.

The CRM approach are basically compile the given data from the different communication source such as company website, email and telephone.

 

What are the benefits of using an ordered list vs. an unordered list? What are the costs?

Answers

Answer:

The main benefit of the ordered list is that you can apply Binary Search( O( n log n) ) to search the elements. Instead of an unordered list, you need to go through the entire list to do the search( O(n) ).

The main cost of the ordered list is that every time you insert into a sorted list, you need to do comparisons to find where to place the element( O( n log n) ). But, every time you insert into an unsorted, you don't need to find where to place the element in the list ( O(1) ). Another cost for an ordered list is where you need to delete an element, you have an extra cost rearranging the list to maintain the order.

What is a relationship? A one-to-many relationship

Answers

Answer:

In the database, a relationship is the situation where one foreign key table are basically get references from the other primary key table.

The relationship basically allow relational database to splitting and storing the data into different tables.

One to many relationship is one of the type of the relationship. The one to many relationship is basically define as when the record in the table are associate with the one and more records in the another table.

. Which of the following is a command in MySQL for creating a database called 'game_data'?
(a) INSERT DATABASE game_data;
(b) CREATE DATABASE game_data;
(c) MAKE DATABASE game_data;
(d) NEW DATABASE game_data;

Answers

Answer:

The correct option for the following question is option(b) i.e CREATE DATABASE game_data;

Explanation:

The CREATE  command is used to create the database in MySQL .The syntax for creating a database is given as  

Create database database name ;

Here database name is game_data

So the query is CREATE DATABASE game_data;

Insert command is used for inserting the value into database not for creating the database .so option(a) is wrong .

MAKE and NEW  are not any command so these both the option are wrong.

Therefore the correct answer is option(b);

In Windows, the only was to start/stop MySQL Server is from the Command Prompt.
(a) True
(b) False

Answers

Answer:

False

Explanation:

There is a way to start/stop MySQL server using the Services application, with the following steps:

1. Open Run Window by Winkey + R

2. Type services.msc

3. Search MySQL service based on version installed

4. Click on stop, start, or restart the service on the right side of the panel

On Windows 10, steps 1 and 2 can be replaced by simply going to the start menu and type services, the services application will appear as first option.

Every element in an array always has the same data type. Necessary ?

Answers

Answer:

False.

Explanation:

Every element in the array is always have same data type.

Array is the collection of items of same data type stored in contiguous memory location.

So as the definition suggests that array elements always have same data type.

But it is not necessary there are some languages that can allow array elements to be different types such as javascript,python.But traditional languages such as C,C++,Java does not allow this.

How can hidden terminals be detected in 802.11?

Answers

Answer:

Hidden terminal are basically known as hidden node that are out of the range in the network. The hidden terminal are basically detected by the receiver and sender according to the potential colliding of the packets. In the wireless network 802.11 we can easily detect the hidden node or terminal by using two main mechanism that are:

Active detectionPassive detection

Active Detection:

In the active detection, the hidden terminal firstly generated a request in the hop which is known as "Detection request" and then all the given terminal received the request for sending the sequence of packet on the hop. In the 802.11 wireless network, terminal 0 is known as the detection terminal.

Passive detection:

In the passive detection, there is detecting terminal node interface is set in the promiscuous mode in which all the packets are process in the detecting terminal.

It is basically depend upon the CTS or RTS that is used for the transmitting the neighboring node or terminal.    

. The __________ logical operator works best when testing a number to determine if it

is outside a range.

Answers

Answer:

The OR logical operator works best when testing a number to determine if it  is outside a range

Explanation:

The answer to this statement is:

The OR logical operator works best when testing a number to determine if it  is outside a range

The concept of logical operators is simple. They allow a program to make a decision based on multiple conditions

The AND (&&) operator is used to determine whether both operands or conditions are true

The NOT (!) operator is used to convert true values to false and false values to true. In other words, it inverts a value

The OR ( || ) operator is used to determine whether either of the conditions is true. If the first operand of the || operator evaluates to true, the second operand will not be evaluated.

Constructors are special methods included in class definitions. a. What is a constructor used for? b. How do constructors differ from other methods in a class?

Answers

Answer:

(a)A constructor is a special method which is used the initialize the class that means the initialize the object of a class.

(b)There is the following difference between constructor and method in a class.

1. Constructor name has the same name as the class name we do not give any other name to the constructor, on the other hand, it is possible in function to giving any name to function.

2. The constructor does not have return type such as int, void, etc on the other hand function must have a return type.

3.constructor does not return any value on the other hand function are returning the value.

Explanation:

Following are the program of constructor in c++

#include <iostream> // header file

using namespace std; // namespace

class constructor1

{

   public:

   constructor1() // default constuctor

   {

       cout<<" hello brainly:"<<endl;  

   }

void fun() // fuuction

{

cout<< "function:";

}

};

int main() // main function

{

constructor1 ob; // creating object it call default constructor

ob.fun();//  calling the function fun()

  return 0;

}

Output:hello brainly:

function:

In this program, we create a class and create a function "fun" and "default "constructor "from the main function we create the object of a class which calls the default constructor and with the help of object we call the function fun.

Final answer:

Constructors are special methods for initializing new objects in a class. They differ from other methods by being called automatically during object creation, having no return type, and generally sharing the class name.

Explanation:

Constructors are special methods included in class definitions whose primary role is to initialize new objects of that class. Unlike regular methods, a constructor is called automatically when an instance of the class is created. They are unique in that they don't have a return type, not even void, and they often have the same name as the class in many programming languages.

Constructors may include parameters that allow for the setting of instance variables when an object is instantiated. This ensures that the new object starts with a valid state. In languages such as Python, the constructor method is defined using the special name __init__. This method enables coders to carry out any initialization, such as setting default values for instance variables or performing operations vital to the object's use.

While other methods in the class can be invoked using the object's reference and can have any return type or none, the constructor is unique in that it doesn't need to be called directly; it's invoked when the object comes into existence and cannot be called again unless a new object is created.

When you open a stream for both reading and writing files, what must you always remember to do at the end?

Answers

Answer:

When you open a stream for both reading and writing you must always remember to close the stream.

Explanation:

There are three basic steps to follow to read and write data from stream.

Steps to read data from the stream

1) Open the stream

2) Read the data from the stream

3) Close the stream

Step to write data to the stream

1) Open the stream

2) Write the data to the stream

3) Close the stream

Convert the binary number into a hexadecimal number.

Answers

Explanation:

A binary number is converted to hexadecimal number by making a group of 4 bits from the binary number given.Start making the group from Least Significant Bit (LSB) and start making group of 4 to Most Significant (MSB) or move in outward direction.If the there are less than 4 bits in last group then add corresponding zeroes to the front and find the corresponding hexadecimal number according to the 4 bits.For example:-

for this binary number 100111001011011.

100  1110 0101  1011

There is one bits less in the last group so add 1 zero(0) to it.

0100  1110  0101  1011

  4        E        5        B

100111001011011 = 4E5B

101011.1010

0010   1011  .   1010

  2          B           A

=2B.A

Write a C++ program that stores the integers 50 and 100 in variables and stores the sum of these two in a variable named total. Display the total on the screen.

Answers

Answer:

Following are the program in c++

#include <iostream> // header file

using namespace std; // namespace

int main() // main function

{

int a=50,b=100,total; // variable declaration

total=a+b; // sum of the two variable a and b

cout<<"The total is:"<<total; // display total

return 0;

}

Output:The total is:150

Explanation:

In this program we have declared two variable i.e "a" and "b" of int type which store the value 50 and 10 respectively.After that we adding these two variable and store the sum in total variable finally display the total

What is the value of y when this code executes?

def foo(x) :
if x >= 0 :
return 6 * x

y = foo(-10)

y = None

y = 60

y = -60

y = 20

Answers

Answer:

The operation of 6*x only executes if x is greater or equal to 0, since x=-10 and -10 is less than 0, the operation does not execute. For this reason,  the value of y using this code is None.

Explanation:

In python a function is defined with the syntaxis:  

def function(x):  

the operation to execute (x)

value to return

In this case, the function is foo and the parameter is x:  

def foo(x):

  if x>= 0:

     return 6*x

The code starts by assigning a value to x. Then, the code asks if the value of x is grater or equal to 0, if this condition is meet, then the code returns the value of 6 times x, if not, then the code does not return a value. In this case, x is -10 and this value is not grater or equal to 0. Given that the condition is not met, then the code stops executing and the value of y is none.

Suppose a class consists of 3 sophomores, 4 juniors, and 2 seniors (no freshmen). We want one person from each of the class years to do a presentation. How many different sets of presenters are there?

Answers

Answer:

There are 24 different sets of presenters.

Explanation:

We have:

3 sophmores

4 juniors

2 seniors

The presentation has the following format:

So - J - Sr

Since there are 3 sophmores, 4 juniors and 2 seniors, we have that:

For each sophmore, 4 juniors can present.

For each junior, 2 seniors can present

There are 3 sophmores

So there are

[tex]3*4*2 = 24[/tex]

There are 24 different sets of presenters.

Use the find command to display all files owned by the user guru

Answers

Answer:

find * -user guru

Explanation:

find is the command to search in files and the flag -user allow search by the owner of the file

the symbol * is a regular expression that means all the files

Example

find * -user guru

find all the files owned by the user guru

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