(a) Confusion matrix:
Predicted Class A | Predicted Class B
Actual Class A | 20 | 80
Actual Class B | 100 | 800
(b) Accuracy is the proportion of correct predictions:
Accuracy = (true positives + true negatives) / total records
= (20 + 800) / (100 + 900) = 820 / 1000 = 0.82
Error rate is the proportion of incorrect predictions:
Error rate = (false positives + false negatives) / total records
= (100 + 80) / (100 + 900) = 180 / 1000 = 0.18
(c) Precision is the proportion of correctly predicted positive instances:
Precision = true positives / (true positives + false positives)
= 20 / (20 + 100) = 0.1667
Recall is the proportion of actual positive instances correctly predicted:
Recall = true positives / (true positives + false negatives)
= 20 / (20 + 80) = 0.2
F1-measure is the harmonic mean of precision and recall:
F1-measure = 2 * (precision * recall) / (precision + recall)
= 2 * (0.1667 * 0.2) / (0.1667 + 0.2) = 0.182
(d) Accuracy can be misleading in class-imbalanced datasets as it can be high even if the model performs poorly on the minority class. Cost functions can address this by assigning higher costs to misclassifications of the minority class, encouraging the model to give more importance to its correct prediction.
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Design a Cylinder class with members of radius, height. Design the volume() function to calculate the volume of the cylinder and surface() function to calculate the surface area of the cylinder. ( PI = 3.14) Example Input and Output: Please input the radius: 3 Please input the height: 12 Volume = 339. 12 Surface area = 282.6
The volume of the cylinder is 339.12 cubic units, and the surface area is 282.6 square units.
Here's an implementation of the Cylinder class in Python with the volume and surface methods:
python
class Cylinder:
def __init__(self, radius, height):
self.radius = radius
self.height = height
def volume(self):
return 3.14 * self.radius ** 2 * self.height
def surface(self):
return (2 * 3.14 * self.radius * self.height) + (2 * 3.14 * self.radius ** 2)
# Example usage
radius = float(input("Please input the radius: "))
height = float(input("Please input the height: "))
cylinder = Cylinder(radius, height)
print("Volume =", cylinder.volume())
print("Surface area =", cylinder.surface())
In this implementation, we define a Cylinder class with the member variables radius and height. The __init__ method is the constructor, which initializes the object with the given values of radius and height.
The volume method calculates the volume of the cylinder using the formula V = π * r^2 * h, where π is approximately 3.14, r is the radius, and h is the height of the cylinder. The method returns the calculated volume.
The surface method calculates the surface area of the cylinder using the formula A = 2πrh + 2πr^2, where r is the radius and h is the height of the cylinder. The method returns the calculated surface area.
In the example usage, we prompt the user to input the radius and height of the cylinder. Then, we create an instance of the Cylinder class with the provided values. Finally, we call the volume and surface methods on the cylinder object and print the results.
For the given example input (radius = 3, height = 12), the output would be:
java
Volume = 339.12
Surface area = 282.6
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For this project, you'll implement a simplified word game program in Python. In the game, letters are dealt to the player, who then constructs a word out of his letters. Each valid word receives a score, based on the length of the word and number of vowels used. You will be provided a text file with a list of all valid words. The rules of the game are as follows: Dealing A player is dealt a hand of 7 letters chosen at random. There can be repeated letters. The player arranges the hand into a word using each letter at most once. Some letters may remain unused. Scoring The score is the sum of the points for letters in the word, plus 25 points if all 7 letters are used. . 3 points for vowels and 2 points for consonants. For example, 'work' would be worth 9 points (2 + 3 + 2 + 2). Word 'careful' would be worth 41 points (2 + 3 + 2 + 3 + 2 + 2 + 2 = 16, plus 25 for the bonus of using all seven letters) def play_hand (hand, word_list): |||||| Allows the user to play the given hand, as follows: *The hand is displayed. * The user may input a word. * An invalid word is rejected, and a message is displayed asking the user to choose another word. * When a valid word is entered, calculate the score and display the score hand: dictionary (string -> int) word_list: list of lowercase strings |||||| # TO DO print ("play_hand not implemented.") # replace this with your code...
The given project requires the implementation of a word game program in Python. The game involves dealing a hand of 7 letters to the player, who then constructs a word using those letters. The word is then scored based on the length of the word and the number of vowels used. A text file with a list of valid words will be provided for reference.
To complete the project, you need to implement the play_hand function. This function allows the user to play the given hand by following certain steps. First, the hand is displayed to the user. Then, the user can input a word. If the word is invalid, a message is displayed asking the user to choose another word. If a valid word is entered, the score is calculated based on the given scoring rules and displayed to the user.
The provided code snippet print("play_hand not implemented.") indicates that the play_hand function needs to be implemented with the required functionality.
You would need to replace the given code snippet with your own implementation, where you can prompt the user for input, validate the word, calculate the score, and display the result.
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Which of the following statements about greedy algorithms is true? A greedy algorithm always finds the optimal solution.
There is always only one greedy algorithm for a given problem.
A greedy algorithm repeatedly picks the best option
The statement "A greedy algorithm repeatedly picks the best option" is true.
Greedy algorithms follow a specific approach where they make locally optimal choices at each step, with the hope that these choices will lead to a globally optimal solution. However, it's important to note that this approach does not guarantee finding the absolute optimal solution in all cases.
Greedy algorithms work by making the best possible choice at each step based on the available options. The choice made is determined by a specific criterion, such as maximizing or minimizing a certain value. The algorithm continues to make these locally optimal choices until a solution is reached.
In the explanation of greedy algorithms, it's important to highlight the following points:
1. Greedy algorithms make decisions based on the current best option without considering future consequences. This myopic approach can be advantageous in some cases but may lead to suboptimal solutions in others.
2. While greedy algorithms are efficient and easy to implement, they do not always guarantee finding the optimal solution. There are cases where a greedy choice made at one step may lead to a non-optimal outcome in the long run.
3. The optimality of a greedy algorithm depends on the problem's characteristics and the specific criteria used to make choices. In some cases, a greedy algorithm can indeed find the optimal solution, but in other cases, it may fall short.
4. To determine the correctness and optimality of a greedy algorithm, it's essential to analyze the problem's properties and prove its correctness mathematically.
Overall, while greedy algorithms are useful and widely applied, it is crucial to carefully analyze the problem at hand to ensure that the chosen greedy approach will lead to the desired optimal solution.
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When comparing Internet Checksum with Two-dimensional bit parity, which of these is correct O A. Both methods can detect and correct errors OB. Internet checksum is used for Apple/Mac devices only while two-dimensional bit parity is used by Windows based system OC. Internet checksum can detect but not correct bit error, while two-dimensional bit parity can detect and correct errors O D. Internet checksum can detect and correct bit error, while two-dimensional bit parity only detects errors Reset Selection
The correct statement is D. Internet checksum can detect but not correct bit error, while two-dimensional bit parity can detect and correct errors.
The correct statement is D. The Internet checksum is a technique used in network protocols to detect errors in data transmission. It calculates a checksum value based on the data being sent and includes it in the packet. Upon receiving the data, the receiver recalculates the checksum and compares it with the received checksum. If they match, it indicates that the data is likely to be error-free. However, if they do not match, it suggests that errors may have occurred during transmission, but the Internet checksum itself does not provide the capability to correct those errors.
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Let p be a prime number of length k bits. Let H(x)=x^2 (mod p) be a hash function which maps any message to a k-bit hash value. (b) Is this function second pre-image resistant? Why?
No, the hash function H(x) = x^2 (mod p) is not second pre-image resistant.
A hash function is considered second pre-image resistant if it is computationally infeasible to find a second input that hashes to the same hash value given a specific input. In other words, given an input x, it should be difficult to find another input y (where y ≠ x) such that H(x) = H(y).
In the case of the hash function H(x) = x^2 (mod p), it is not second pre-image resistant because there are multiple inputs that can produce the same hash value. Specifically, if x and -x are both input values, they will have the same hash value since (-x)^2 ≡ x^2 (mod p). This means that finding a second pre-image (an input different from the original) is relatively easy as you can simply negate the original input.
Therefore, the function H(x) = x^2 (mod p) does not possess second pre-image resistance.
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Create three source code files: point.h, point.cpp, and main.cpp. Requirements Define a class called Point using the following UML Class Diagram. Point - x: double - y: double Point() Point (double, double) + getX(): double + getY(): double + showPoint(): void Point() Point (double, double) + getX(): double + getY(): double + showPoint(): void The Point class must meet the following requirements: o The getX() member function returns the value stored in x. o The getY() member function returns the value stored in y. o The showPoint () member function displays the point in (x,y) format, for example: (4,3). Write a program to demonstrate the class that meets the following requirements: o The program must create two points. o The program must demonstrate ALL member functions. o The program must calculate the distance between the two points.
By compiling and running the program, you will see the output showing the coordinates of the two points and the calculated distance between them.
Here are the three source code files that meet the given requirements:
#ifndef POINT_H
#define POINT_H
class Point {
private:
double x;
double y;
public:
Point();
Point(double x, double y);
double getX();
double getY();
void showPoint();
};
#endif
point.cpp:
cpp
Copy code
#include "point.h"
#include <iostream>
#include <cmath>
Point::Point() {
x = 0.0;
y = 0.0;
}
Point::Point(double x, double y) {
this->x = x;
this->y = y;
}
double Point::getX() {
return x;
}
double Point::getY() {
return y;
}
void Point::showPoint() {
std::cout << "(" << x << "," << y << ")" << std::endl;
}
main.cpp:
cpp
Copy code
#include "point.h"
#include <iostream>
#include <cmath>
int main() {
Point p1(4.0, 3.0);
Point p2(6.0, 8.0);
std::cout << "Point 1: ";
p1.showPoint();
std::cout << "Point 2: ";
p2.showPoint();
double distance = std::sqrt(std::pow(p2.getX() - p1.getX(), 2) + std::pow(p2.getY() - p1.getY(), 2));
std::cout << "Distance between the points: " << distance << std::endl;
return 0;
}
The code consists of three files: point.h, point.cpp, and main.cpp.
The Point class is defined in point.h and has private member variables x and y, representing the coordinates of a point. The class provides a default constructor and a parameterized constructor to initialize the point's coordinates. It also includes public member functions getX() and getY() to retrieve the x and y coordinates, respectively. The showPoint() function displays the point in (x, y) format.
In point.cpp, the member function implementations of the Point class are provided. The showPoint() function uses std::cout to print the point in the desired format.
The main.cpp file demonstrates the usage of the Point class. Two Point objects, p1 and p2, are created with specific coordinates. The showPoint() function is called on each object to display their values. Additionally, the distance between the two points is calculated using the Euclidean distance formula and displayed.
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17.5 Configure Security Policy Rules I Create security policy rules to meet the following requirements: • For all security policy rules, enter a helpful Description. • Create and apply the following Tags to the Security policy rules as appropriate: Allow - Lime Block-Red Modify the interzone-default security policy rule so that traffic is logged at session end. Create a security policy rule called Block_Bad_URLS with the following characteristics: • For all outbound traffic, the URL categories hacking, phishing, malware, and unknown must be blocked by a security policy rule match criterion. From the User zone to the Extranet zone, create a security policy rule called Users_to_Extranet to allow the following applications: • ping . ssl . ssh . dns . web-browsing From the User zone to the Internet zone, create a security policy rule called Users_to_Internet to allow the following applications: • ping . dns . web-browsing . ssl
The task requires configuring security policy rules to meet specific requirements. This includes modifying the interzone-default rule, creating a rule to block specific URL categories, and creating rules to allow certain applications between different zones.
In order to meet the requirements, several security policy rules need to be created and configured.
First, the interzone-default security policy rule should be modified to enable logging at the end of each session. This ensures that traffic is logged for monitoring and analysis purposes.
Next, a security policy rule called Block_Bad_URLS needs to be created. This rule should block outbound traffic that matches the URL categories of hacking, phishing, malware, and unknown. By applying this rule, any attempts to access URLs related to these categories will be denied.
For traffic between the User zone and the Extranet zone, a security policy rule called Users_to_Extranet should be created. This rule allows specific applications such as ping, ssl, ssh, dns, and web-browsing from the User zone to the Extranet zone. It ensures that users can access these applications while maintaining security.
Similarly, a security policy rule called Users_to_Internet should be created for traffic between the User zone and the Internet zone. This rule allows ping, dns, web-browsing, and ssl applications, enabling users to access these services securely.
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Project: ChicaEil.A, is a popular fast-food store in America. The Problem with their store is that they receive tons of mobile orders every day, but they receive too many that they do not have enough food in stock to fulfill the orders. I need three different sets of codes along with a ERD crows foot model 1" code-write a code that between 8 pm - 9pm, Cois-Fil-A will limit orders to only 40 mobile orders, and after 9 pm, only a total of 30 mobile orders will be taken 2nd code: Write a code that shows 100% of mobile orders will be taken before 8 PM 3rd code-write a code that shows how much food is in stock throughout the day. For example, write a code that shows the amount of chicken the store is losing in stock throughout the day, write a code that shows the Mac and Cheese supply going down throughout the day from 100%-0%, show a code of Drinks (Pepsi, Sprite, Dr. Pepper) supply going down throughout the day
Code to Limit Mobile Orders: You can build a conditional check depending on the current time to limit mobile orders to a particular number throughout different time periods.
The code's general structure is as follows:
import datetime
# Get the current time
current_time = datetime.datetime.now().time()
# Check the time and set the maximum order limit accordingly
if current_time >= datetime.time(20, 0) and current_time < datetime.time(21, 0):
max_orders = 40
else:
max_orders = 30
# Process mobile orders
if number_of_mobile_orders <= max_orders:
# Process the order
# Update the food stock
else:
# Reject the order or show a message indicating that the order limit has been reached
Code to Assure That All Mobile Orders Are Processed Before 8 PM:
You can put in place a check when a new order is placed to make sure that all mobile orders are taken before 8 PM. The code's general structure is as follows:
import datetime
# Get the current time
current_time = datetime.datetime.now().time()
# Check if the current time is before 8 PM
if current_time < datetime.time(20, 0):
# Process the order
# Update the food stock
else:
# Reject the order or show a message indicating that orders are no longer accepted
Food Stock Tracking Code for the Day:
You must keep track of the original stock quantity and update it with each order if you want to monitor the food supply throughout the day. The code's general structure is as follows:
# Define initial stock quantities
chicken_stock = 100
mac_and_cheese_stock = 100
pepsi_stock = 100
sprite_stock = 100
dr_pepper_stock = 100
# Process an order
def process_order(item, quantity):
global chicken_stock, mac_and_cheese_stock, pepsi_stock, sprite_stock, dr_pepper_stock
# Check the item and update the stock accordingly
if item == 'chicken':
chicken_stock -= quantity
elif item == 'mac_and_cheese':
mac_and_cheese_stock -= quantity
elif item == 'pepsi':
pepsi_stock -= quantity
elif item == 'sprite':
sprite_stock -= quantity
elif item == 'dr_pepper':
dr_pepper_stock -= quantity
# Example usage:
process_order('chicken', 10) # Deduct 10 chicken from stock
process_order('pepsi', 5) # Deduct 5 pepsi from stock
# Print the current stock quantities
print('Chicken Stock:', chicken_stock)
print('Mac and Cheese Stock:', mac_and_cheese_stock)
print('Pepsi Stock:', pepsi_stock)
print('Sprite Stock:', sprite_stock)
print('Dr. Pepper Stock:', dr_pepper_stock)
Thus, these are the codes in Python that are asked.
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HAM (a) (6%) Let A[1..n) and B[1..m] be two arrays, each represents a set of numbers. Give an algorithm that returns an array of such that C contains the intersection of the two sets of numbers represented by A and B. Give the time complexity of your algorithm in Big-O. As an example, if A = [4.9.2, 1.0.7) and B = 19.7. 11,4.8,5,6,0), then C should , [ contain (9.7.6.0] (the ordering of the numbers in array o does not matter). (b) (6%) Let A[1..n] be an array of n numbers. Each number could appear multiple times in array A. A mode of array A is a number that appears the most frequently in A. Give an algorithm that returns a mode of A. (In case there are more than one mode in A, your algorithm only needs to return one of them.) Give the time complexity of your algorithm in Big-O. As an example, if A = [9.2.7,7, 1.3. 2.9.7.0.8.1), then mode of A is 7.
(a) To find the intersection of two sets represented by arrays A and B, we can use a hash set data structure. We iterate through each element in A and insert them into the hash set. Then, we iterate through each element in B and check if it exists in the hash set. If it does, we add it to the result array C. This algorithm has a time complexity of O(n + m), where n is the size of array A and m is the size of array B.
1. Create an empty hash set.
2. Iterate through each element in array A:
- Insert the element into the hash set.
3. Create an empty result array C.
4. Iterate through each element in array B:
- Check if the element exists in the hash set.
- If it does, add the element to array C.
5. Return array C as the intersection of the two sets.
The algorithm works by using a hash set to efficiently check for the existence of elements. Inserting elements into a hash set and checking for membership can be done in O(1) average case time complexity. Therefore, the overall time complexity of the algorithm is O(n + m), where n is the size of array A and m is the size of array B. This is because we perform O(1) operations for each element in A and B, resulting in a linear time complexity. The ordering of the elements in the result array C does not matter, as stated in the example.
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Which of the following is correct? a. An undirected graph contains both arcs and edges. O b. None of the other answers C. An undirected graph contains arcs. d. An undirected graph contains edges. Clear my choice Which of the following structures supports elements with more than one predecessor? a. Binary Tree b. Stack c. Queue d. None of the other answers .
Which of the following structures is limited to access elements only at structure end? a. Both Stack and Queue O b. Both List and Stack C. Both Queue and List O d. All of the other answers . Clear my choice
The correct answer to the first question is d. An undirected graph contains edges.
The correct answer to the second question is c. Queue.
The correct answer to the third question is a. Both Stack and Queue.
The correct answer to the first question is d. An undirected graph contains edges. In an undirected graph, edges represent connections between vertices that are bidirectional and have no inherent direction. This is different from a directed graph, where edges have an orientation and represent a one-way connection between vertices.
The correct answer to the second question is c. Queue. A queue is a data structure where elements are added at one end (the "rear") and removed from the other end (the "front"). It supports elements with more than one predecessor because elements can be added to the rear of the queue by multiple sources, but they will always be removed from the front in a first-in-first-out (FIFO) order.
The correct answer to the third question is a. Both Stack and Queue. Stacks and queues are both limited to accessing elements only at one end of the structure. In a stack, elements are added and removed from the top, while in a queue, elements are added at the rear and removed from the front. Lists and trees, on the other hand, allow access to any element within the structure.
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Given the following bits sequence D (10001010111110110101) and the generator G (11001), answer the following? (Show your work on a hard copy paper)
How would the sender calculate the Cyclic Redundancy Check? What would be the output that will be sent to the receiver?
What would the receiver do to ensure the validity of the data?
The sender would perform the Cyclic Redundancy Check (CRC) by dividing the data sequence D (10001010111110110101) by the generator G (11001) using binary long division. The remainder obtained from the division is the CRC. The sender would then append the CRC to the original data, resulting in the output that will be sent to the receiver.
The receiver would perform the same division operation, dividing the received data (including the appended CRC) by the same generator G (11001). If the remainder obtained is zero, it indicates that the data is valid and free from errors. Otherwise, if the remainder is non-zero, it suggests that errors might have occurred during transmission.
To calculate the Cyclic Redundancy Check (CRC), the sender uses a process known as binary long division. The sender takes the data sequence D (10001010111110110101) and appends zeros to its end, representing the number of bits in the generator G (11001) minus one (in this case, four zeros are appended). This modified data sequence is then divided by the generator G using binary long division.
The division proceeds by performing XOR operations on corresponding bits of the data and the generator. If the leftmost bit of the dividend (data + appended zeros) is 0, the XOR operation results in the same bit value. If the leftmost bit is 1, the XOR operation flips the corresponding bits of the generator. This process continues until all bits of the dividend are processed.
The remainder obtained from the division is the CRC. The sender appends this remainder to the original data sequence, creating the output that will be sent to the receiver. This output contains both the original data and the CRC.
Upon receiving the data, the receiver performs the same division operation using binary long division. The received data (including the appended CRC) is divided by the same generator G. If the remainder obtained is zero, it indicates that the data is valid and free from errors. This means that the data has been successfully transmitted without any changes or corruption.
If the remainder is non-zero, it suggests that errors might have occurred during transmission. In such cases, the receiver knows that the data has been corrupted or altered in some way. The receiver can request the sender to retransmit the data or take appropriate error-correction measures based on the specific communication protocol in use.
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Example 2.4: The marks obtained by a student in 5 different subjects are input through the keyboard. The student gets a division as per the following rules: Percentage above or equal to 60 - First division Percentage between 50 and 59 - Second division Percentage between 40 and 49 - Third division Percentage less than 40 - Fail Write a program to calculate the division obtained by the student.
Here's a Python implementation of the program to calculate the division obtained by a student based on their marks in 5 subjects:
# initialize variables
total_marks = 0
division = ""
# take input for each subject and calculate total marks
for i in range(1, 6):
marks = int(input("Enter marks for subject {}: ".format(i)))
total_marks += marks
# calculate percentage
percentage = (total_marks / 500) * 100
# determine division based on percentage
if percentage >= 60:
division = "First"
elif 50 <= percentage <= 59:
division = "Second"
elif 40 <= percentage <= 49:
division = "Third"
else:
division = "Fail"
# print result
print("Total Marks: {}".format(total_marks))
print("Percentage: {:.2f}%".format(percentage))
print("Division: {}".format(division))
This program takes input for the marks obtained by a student in 5 different subjects using a for-loop. It then calculates the total marks, percentage, and division based on the rules given in the problem statement.
The division is determined using if-elif statements based on the percentage calculated. Finally, the program prints the total marks, percentage, and division using the print() function.
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(10%) Construct Turing machines that accept the following languages on {a, b} (a) L = {w: |w| is even } (b) L = {w: |w| is a multiple of 4 } (Hint: consider how to construct the corresponding nfa)
(a) To construct a Turing machine that accepts the language L = {w: |w| is even} on {a, b}, we can follow these steps:
Start by reading the input string.
Move the head to the end of the tape.
If the position of the head is odd, then reject the input.
Move the head back to the beginning of the tape.
Repeat steps 3 and 4 until the end of the tape is reached.
Accept the input if the number of repetitions in step 5 was even, otherwise reject.
In other words, the Turing machine checks whether the length of the input string is even or not by moving back and forth along the tape, counting the number of symbols read. If the number of symbols is odd, then the input is rejected. Otherwise, the Turing machine accepts the input.
(b) To construct a Turing machine that accepts the language L = {w: |w| is a multiple of 4} on {a, b}, we can use the following approach:
Start by reading the input string.
Move the head to the end of the tape.
If the position of the head is not a multiple of 4, then reject the input.
Move the head back to the beginning of the tape.
Repeat steps 3 and 4 until the end of the tape is reached.
Accept the input if the number of repetitions in step 5 was even, otherwise reject.
In this case, the Turing machine checks whether the length of the input string is a multiple of 4 by moving back and forth along the tape, counting the number of symbols read. If the number of symbols read at any given position is not a multiple of 4, then the input is rejected. Otherwise, the Turing machine accepts the input if the number of repetitions in step 5 was even, otherwise it is rejected.
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According to your book, the easiest technique to use for resetting styles is to use the: a. YU12: Reset CSS b. clearfix class c. overflow fix d. universal selector
The easiest technique to use for resetting styles, as mentioned in the book, is the d. universal selector.
The universal selector (*) is a CSS selector that matches any element in an HTML document. By applying styles to the universal selector, you can reset or override default styles applied by browsers. It allows you to target all elements and set consistent styles throughout your website.
Using the universal selector, you can remove margins, paddings, and other default styles applied by browsers, providing a clean slate to work with. It simplifies the process of resetting or normalizing styles across different browsers and ensures a consistent starting point for styling your webpage.
By applying a universal selector with appropriate styles, you can easily reset the default styles and establish a consistent baseline for your own custom styles, making it a convenient technique for resetting styles in CSS.
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If an 8-bit binary number is used to represent an analog value in the range from 010 to 10010, what does the binary value 010011102 represent?
Converting the binary number 01001110 to decimal, we get 78. Therefore, the analog value represented by the binary number 01001110 is 78 within the given range.
To determine the analog value represented by the binary number 01001110, we need to understand the range and precision of the binary representation.
Given that the 8-bit binary number represents an analog value in the range from 010 to 10010, we can deduce the following:
The smallest analog value represented is 010, which corresponds to the binary number 00000010.
The largest analog value represented is 10010, which corresponds to the binary number 10010010.
To find the analog value represented by the binary number 01001110, we need to map it within the range. Since the binary number is 8 bits, it corresponds to an 8-bit binary representation.
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Use summation notation to rewrite the following:
1^3 - 2^3 + 3^3 - 4^3 + 5^3.
The summation notation is used to represent a series where the elements are numbered, but the expression for each element . It contains a lower limit and an upper limit, placed below and above the respectively.
The given sequence, 1³ - 2³ + 3³ - 4³ + 5³, can be rewritten using summation notation as follows:∑[i=1 to 5](-1)^(i+1) i³Here, i represents the terms of the sequence being summed up. The (-1)^(i+1) is used to alternate the sign of the term being added. When i is odd, (-1)^(i+1) will be equal to 1, while it will be equal to -1 when i is even. The summation notation will ensure that the terms are added according to the sequence until the nth term is reached, which in this case is 5.A summation notation can be used to represent a series where the elements are numbered, but the expression for each element is not content loaded. It is represented as ∑. The summation notation contains a lower limit, which is the number to start the sum and an upper limit which is the number at which the sum ends. The upper and lower limits are placed below and above the ∑ respectively.
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1. Following SQL statement is used to view the structure
(Schema) of a relation named EMPLOYEE.
True
False
need help asap....
The given SQL statement is not used to view the structure (schema) of a relation named EMPLOYEE.
The given SQL statement does not provide a valid syntax for viewing the structure or schema of a relation named EMPLOYEE. To view the structure of a relation in SQL, different database systems may have specific statements or commands.
For example, in MySQL, you can use the DESCRIBE statement:
DESCRIBE EMPLOYEE;
In PostgreSQL, you can use the SHOW COLUMNS statement:
SHOW COLUMNS FROM EMPLOYEE;
In SQL Server, you can use the sp_help stored procedure:
EXEC sp_help 'EMPLOYEE';
These are just examples, and the actual syntax may vary depending on the database system you are using. It is important to consult the documentation or specific resources for the database system you are working with to determine the appropriate syntax to view the structure or schema of a relation.
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Problem 1 (30 points). Prove L = {< M₁, M₂ > M₁, M₂ are Turing machines, L(M₁) CL(M₂)} is NOT Turing decidable.
To prove that L is not Turing decidable, we need to show that there is no algorithm that can decide whether an arbitrary <M₁, M₂> belongs to L. In other words, we need to show that the language L is undecidable.
Assume, for the sake of contradiction, that L is a decidable language. Then there exists a Turing machine T that decides L. We will use this assumption to construct another Turing machine H that solves the Halting problem, which is known to be undecidable. This will lead to a contradiction and prove that L is not decidable.
Let us first define the Halting problem as follows: Given a Turing machine M and an input w, determine whether M halts on input w.
We will now construct the Turing machine H as follows:
H takes as input a pair <M, w>, where M is a Turing machine and w is an input string.
H constructs a Turing machine M₁ that ignores its input and simulates M on w. If M halts on w, M₁ accepts all inputs; otherwise, M₁ enters an infinite loop and never halts.
H constructs a Turing machine M₂ that always accepts any input.
H runs T on the pair <M₁, M₂>.
If T accepts, then H accepts <M, w>; otherwise, H rejects <M, w>.
Now, let us consider two cases:
M halts on w:
In this case, M₁ accepts all inputs since it simulates M on w and thus halts. Since M₂ always accepts any input, we have that L(M₁) = Σ* (i.e., M₁ accepts all strings), which means that <M₁, M₂> belongs to L. Therefore, T should accept <M₁, M₂>. Thus, H would accept <M, w>.
M does not halt on w:
In this case, M₁ enters an infinite loop and never halts. Since L(M₂) = ∅ (i.e., M₂ does not accept any string), we have that L(M₁) CL(M₂). Therefore, <M₁, M₂> does not belong to L. Hence, T should reject <M₁, M₂>. Thus, H would reject <M, w>.
Therefore, we have constructed the Turing machine H such that it solves the Halting problem using the decider T for L. This is a contradiction because the Halting problem is known to be undecidable. Therefore, our assumption that L is decidable must be false, and hence L is not Turing decidable
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Given that P(A) = 3.P(B) = .6, and P(BA) = 4 Find: P(A or B) • Note: Show your work solving for the answer
To find P(A or B), we can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
We are given that P(A) = 3P(B) and P(BA) = 4.
We can derive the value of P(A and B) from the information given. We know that:
P(BA) = P(A and B) / P(B)
So, P(A and B) = P(BA) * P(B)
substituting the values given, we get:
P(A and B) = 4 * (0.6/3) = 0.8
Now, we can find P(A or B) as follows:
P(A or B) = P(A) + P(B) - P(A and B)
Substituting the values of P(A), P(B), and P(A and B), we get:
P(A or B) = 3P(B) + P(B) - 0.8
Simplifying the equation, we get:
P(A or B) = 4P(B) - 0.8
Substituting the value of P(B) from the equation P(A) = 3P(B), we get:
P(A or B) = 4(0.2) - 0.8
P(A or B) = -0.4
However, this result is not possible since probabilities must be between 0 and 1. Therefore, there must be an error in the given data or calculations.
In conclusion, the given information does not provide a valid probability distribution, and thus, it is not possible to solve for P(A or B).
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Trace the execution of QuickSort on the following list: 81, 42, 22, 15, 28, 60, 10, 75. Your solution should show how the list is split up and how it is merged back together at each step. You may select pivot elements using any strategy you like (as long as it is consistent).
The QuickSort algorithm is applied to the list [81, 42, 22, 15, 28, 60, 10, 75] using the Lomuto partition scheme and selecting the rightmost element as the pivot. At each step, the list is split into sublists and merged back together after sorting. The process continues recursively until the entire list is sorted.
Execution Steps:
Original List: [81, 42, 22, 15, 28, 60, 10, 75]
Pivot: 75
Partitioned Lists: [42, 22, 15, 28, 60, 10] | [81]
Sorted List: [42, 22, 15, 28, 60, 10, 75, 81]
Original List: [42, 22, 15, 28, 60, 10]
Pivot: 10
Partitioned Lists: [10] | [42, 22, 15, 28, 60]
Sorted List: [10, 22, 15, 28, 60, 42]
Original List: [42, 22, 15, 28, 60]
Pivot: 60
Partitioned Lists: [42, 22, 15, 28] | [60]
Sorted List: [42, 22, 15, 28, 60]
Original List: [42, 22, 15, 28]
Pivot: 28
Partitioned Lists: [22, 15] | [28, 42]
Sorted List: [22, 15, 28, 42]
Original List: [22, 15]
Pivot: 15
Partitioned Lists: [15] | [22]
Sorted List: [15, 22]
The sorted sublists are merged back together:
[10, 15, 22, 28, 42, 60, 75, 81]
The final sorted list is [10, 15, 22, 28, 42, 60, 75, 81].
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Performance testing in the UAT environment while the users are completing their user acceptance testing is a best practice. True False
The statement "Performance testing in the UAT environment, while the users are completing their user acceptance testing, is a best practice" is False.
Performance testing is the process of testing the system's ability to perform under a given workload. A performance test may be conducted in the UAT environment before launching a system or application. However, conducting performance testing in the UAT environment while the users are completing their user acceptance testing is not a best practice. The reason is that performance testing and UAT are two distinct activities and should be performed independently of each other. The UAT environment is meant to ensure that the system meets the end-users' requirements and is free of any bugs or defects. The environment is used to demonstrate that the system is working as expected and meets the users' needs. It's important to have a stable environment for UAT because any issues that arise during this testing can result in delays and additional costs to the project. Therefore, it is not recommended to perform performance testing in the UAT environment while the users are completing their user acceptance testing.
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What is the output of the following code? dl={"name":"Alex", "age":19} a= di.get("major") print(a) O Error O None O CS
The given code will output "None".
The code defines a dictionary dl with the key-value pairs "name" and "age". However, when attempting to retrieve the value associated with the key "major" using the get() method, the code is likely to encounter an error.
In the code, the variable `dl` is assigned a dictionary with key-value pairs. Then, the variable `a` is assigned the value of `di.get("major")`. However, there is no key "major" in the dictionary `dl`, so the `get()` method will return `None`. Finally, `None` is printed to the console.
The reason for the error is that the variable used to access the dictionary is incorrect. The dictionary is defined as dl, but the code attempts to access it using di. This inconsistency will result in a NameError, indicating that the variable di is not defined.
Assuming the variable is corrected to dl, the get() method will return None if the specified key ("major") is not found in the dictionary. Since "major" is not present as a key in dl, the get() method will return None.
Consequently, when attempting to print the value of a, which is the result of the get() method, the output will be "None".
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create a flowchart and Pseudocode
Math Quiz
Create a program that runs a math quiz using the random from the python library to generate the values for operands. We might have to use functions, lists, loops, and conditional statements for this project. Please pay attention to the details of the requirements.
This program has different levels of math quiz :
1- Beginner - with operands between 1 and 10
2- Intermediate - with operands between 1 and 25
3- Advanced - with operands between 1 and 100
Once the user enters the level, the program will call either one of these functions based on the level and passes the operation as a parameter. Operation refers to whether we are adding, subtracting, multiplying or dividing.
levelOne (operation) function if the user enters Beginner
levelTwo (operation) function if the user enters Intermediate
levelThree (operation) function if the user enters Advanced
Then it should display a menu like that calculator program we worked on before.
1) Addition
2) Subtraction
3) Multiplication
4) Division
5) Quit
Choose your option:
Create appropriate functions for each option and pass two integer numbers that will be generated randomly as parameters so that when the user chooses the options 1-4, Addition(num1, num2), subtraction(num1, num2), Multiplication(num1, num2), Division(num1, num2), or Quit if the user wishes to quit the program. Remember these functions will be called from the level functions explained above.
In our program, we should keep track of how many questions were answered correctly, and how many questions were missed. When the user is done with the quiz by entering the options quit, we should display one of the following messages.
Well done!: if the user answered more than 80 percent of the questions correctly.
You need more practice: if they get between 70 and 80 percent of the questions correct.
Please ask your math teacher for help!: if less than 70 percent of the questions are correct.
Allow the user to start another quiz without restarting the program which means asking them if they want to
Here's the flowchart for the Math Quiz program:
+------------------------+
| Start |
+------------------------+
| Display Menu |
| 1) Beginner |
| 2) Intermediate |
| 3) Advanced |
| 4) Quit |
| Prompt for Level |
+------------------------+
|
v
+------------------------+
| Level One |
+------------------------+
| Generate Operands |
| Call levelOne() |
| based on operation |
+------------------------+
|
v
+------------------------+
| Level Two |
+------------------------+
| Generate Operands |
| Call levelTwo() |
| based on operation |
+------------------------+
|
v
+------------------------+
| Level Three |
+------------------------+
| Generate Operands |
| Call levelThree() |
| based on operation |
+------------------------+
|
v
+------------------------+
| Addition |
+------------------------+
| Generate Numbers |
| Call Addition() |
+------------------------+
|
v
+------------------------+
| Subtraction |
+------------------------+
| Generate Numbers |
| Call Subtraction() |
+------------------------+
|
v
+------------------------+
| Multiplication |
+------------------------+
| Generate Numbers |
| Call Multiplication() |
+------------------------+
|
v
+------------------------+
| Division |
+------------------------+
| Generate Numbers |
| Call Division() |
+------------------------+
|
v
+------------------------+
| Quit |
+------------------------+
| Display Results |
| Calculate Accuracy |
| Display Appropriate |
| Message |
| Prompt to Start |
| Another Quiz |
+------------------------+
|
v
+------------------------+
| End |
+------------------------+
And here's the pseudocode for the Math Quiz program:
function levelOne(operation):
generate random operands between 1 and 10
call appropriate function based on operation (Addition, Subtraction, Multiplication, Division)
return
function levelTwo(operation):
generate random operands between 1 and 25
call appropriate function based on operation (Addition, Subtraction, Multiplication, Division)
return
function levelThree(operation):
generate random operands between 1 and 100
call appropriate function based on operation (Addition, Subtraction, Multiplication, Division)
return
function Addition(num1, num2):
perform addition of num1 and num2
check user's answer
update score
return
function Subtraction(num1, num2):
perform subtraction of num1 and num2
check user's answer
update score
return
function Multiplication(num1, num2):
perform multiplication of num1 and num2
check user's answer
update score
return
function Division(num1, num2):
perform division of num1 and num2
check user's answer
update score
return
function calculateAccuracy(correct, total):
calculate accuracy percentage
return accuracy
variable score = 0
variable totalQuestions = 0
display menu
while true:
prompt for level selection
if level is Beginner:
prompt for operation selection
call levelOne(operation)
else if level is Intermediate:
prompt for operation selection
call levelTwo(operation)
else if level is Advanced:
prompt for operation selection
call levelThree(operation)
else if level is Quit:
display results (score and totalQuestions)
calculate accuracy using calculateAccuracy(score, totalQuestions)
display appropriate message based on accuracy
prompt to start another quiz
if user chooses to start another quiz:
reset score and totalQuestions
continue the loop
else:
exit the loop
display end message
Note: The actual implementation of the functions and the logic for checking user answers may vary based on your programming language and preferences.
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If you want to draw box-and-whisker plot of sales against color type with red color, you write .........
Select one:
a. plot(ts(sales, color,col="red")
b. ts(plot(color,sales,col="red")
c. plot(sales~color,col="red")
d. plot(sales,color,col="red")
Plot(salescolor,col="red") is the correct code to draw a box-and-whisker plot of sales against color type with red color. The plot function in R programming can be used to make a variety of graphs, including box-and-whisker plots.Therefore, the correct code to draw box-and-whisker plot of sales against color type with red color is: plot(sales~color,col="red")Therefore, option C is the correct answer.
If you want to draw box-and-whisker plot of sales against color type with red color, you write plot(sales~color,col="red")To draw a box and whisker plot, we use the plot function in R programming. The plot function can be used to make a wide variety of graphs, including box-and-whisker plots. A box-and-whisker plot, also known as a box plot, is a type of chart used to display data in a way that shows the distribution of a variable. The following syntax can be used to create a box-and-whisker plot:plot(x, y, type = "boxplot")Here, x and y are the two variables we want to plot, and type = "boxplot" tells R to create a box-and-whisker plot.
If we want to color the box and whisker plot in red color, we can specify the color using the col argument. Therefore, the correct code to draw box-and-whisker plot of sales against color type with red color is: plot(sales~color,col="red")Therefore, option C is the correct answer.
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When we create an object from a class, we call this: a. object creation b. instantiation c. class setup d. initializer
When we create an object from a class, it is called instantiation. It involves allocating memory, initializing attributes, and invoking the constructor method to set the initial state of the object.
When we create an object from a class, we call this process "instantiation." Instantiation refers to the act of creating an instance of a class, which essentially means creating an object that belongs to that class. It involves allocating memory for the object and initializing its attributes based on the defined structure and behavior of the class.
The process of instantiation typically involves calling a special method known as the "initializer" or "constructor." This method is responsible for setting the initial state of the object and performing any necessary setup or initialization tasks. The initializer is typically defined within the class and is automatically invoked when the object is created using the class's constructor syntax. Therefore, the correct answer to the question is b. instantiation.
When we create an object from a class, it is called instantiation. It involves allocating memory, initializing attributes, and invoking the constructor method to set the initial state of the object.
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Write a recursive method that takes two integer number start and end. The method int evensquare2 (int start, int end) should return the square of even number from the start number to the end number. Then, write the main method to test the recursive method. For example: If start = 2 and end = 4, the method calculates and returns the value of: 22 * 42 = 20 If start = 1 and end = 2, the method calculates and returns the value of: 22 = 4 Sample I/O: Enter Number start: 2 Enter Number start: 4 Result = 20 Enter Number start: 1 Enter Number start: 2 II Result = 4
This Java program includes a recursive method `evensquare2` that takes two integer parameters `start` and `end`. It calculates and returns the sum of squares of even numbers between `start` and `end` inclusive.
Here's the recursive method `evensquare2` that takes two integer numbers `start` and `end` and returns the sum of squares of even numbers between `start` and `end` inclusive:
```java
public static int evensquare2(int start, int end) {
if (start > end) {
return 0;
} else if (start % 2 != 0) {
return evensquare2(start + 1, end);
} else {
return start * start + evensquare2(start + 2, end);
}
}
The method first checks if `start` is greater than `end`. If so, it returns 0. If `start` is an odd number, it calls itself recursively with `start + 1` as the new `start` value. If `start` is an even number, it calculates the square of `start` and adds it to the result of calling itself recursively with `start + 2` as the new `start` value.
Here's the main method to test the `evensquare2` method:
```java
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
System.out.print("Enter Number start: ");
int start = input.nextInt();
System.out.print("Enter Number end: ");
int end = input.nextInt();
int result = evensquare2(start, end);
System.out.println("Result = " + result);
}
}
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How can individual South African protect themselves
against cyber-crime?
Individuals in South Africa can protect themselves against cybercrime by following several important practices. These include staying informed about the latest cyber threats, using strong and unique passwords, being cautious of suspicious emails and messages, regularly updating software and devices, using reputable antivirus software, and being mindful of sharing personal information online.
To protect themselves against cybercrime, individuals in South Africa should stay informed about the latest cyber threats and educate themselves about common scams and techniques used by cybercriminals. This knowledge can help them recognize and avoid potential risks. It is crucial to use strong and unique passwords for online accounts and enable two-factor authentication whenever possible. Being cautious of suspicious emails, messages, and phone calls, especially those requesting personal information or financial details, can help avoid falling victim to phishing attempts.
Regularly updating software, operating systems, and devices is important as updates often include security patches that address known vulnerabilities. Installing reputable antivirus software and keeping it up to date can help detect and prevent malware infections. Individuals should be mindful of what personal information they share online, avoiding oversharing and being cautious about the privacy settings on social media platforms.
Additionally, it is advisable to use secure and encrypted connections when accessing sensitive information online, such as banking or shopping websites. Regularly backing up important data and files can mitigate the impact of potential data breaches or ransomware attacks. Lastly, being vigilant and reporting any suspicious activities or incidents to the relevant authorities can contribute to a safer digital environment for individuals in South Africa.
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17. Explain the term mathematical continuity (C₂) when joining two curves. Consider the joint between two cubic Bezier curves. State and prove constraints on their control points to ensure: (i) Co continuity at the joint. (ii) C1 continuity at the joint.
Mathematical continuity is the measure of how smoothly two pieces of mathematical data are connected or joined together. This continuity may be of several types, including C0, C1, C2, and more. The joint between two curves in a Cubic Bezier curve is the topic of this explanation.
Mathematical continuity, also known as smoothness, is defined as the degree to which two curves are connected or joined together in a smooth manner. It can be classified as C0, C1, C2, and so on, depending on the order of the differential continuity at the connection joint. C₂ mathematical continuity is the continuity of second-order derivatives, which is necessary when linking two cubic Bezier curves.
C1 continuity at the joint is ensured by ensuring that the first-order derivatives match up. This requires that the curves are adjacent to each other in such a way that their slopes match at the intersection point. Here are the following constraints that need to be followed:
Endpoint Position: The endpoint of the first curve should coincide with the start of the second curve.
Endpoint Tangent Direction: The direction of the tangent at the end of the first curve should be the same as the direction of the tangent at the start of the second curve.
Endpoint Tangent Magnitude: The magnitude of the tangent at the end of the first curve should be equal to the magnitude of the tangent at the start of the second curve.
Therefore, to ensure mathematical continuity in joining two curves, we need to meet the following conditions: End Point Position, End Tangent Direction, and Endpoint Tangent Magnitude to achieve C1 continuity at the joint. For Co continuity, the constraints are the same as for C1 continuity, except for the Endpoint Tangent Magnitude. So, that's how mathematical continuity (C₂) is explained when joining two curves.
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Need urgent help in whole Part B.
To clarify:
Part B)ii) Requires Boolean Algebra Expression as an answer
Part B)iii) Requires Truth_Table to valid the Expression by having TRUTH as an outcome at the end of the Expression.
Show transcribed data
b) Consider the following argument. Premises If I invest in stock market then I will lose. I will not lose. I invest in stock market or I will lose money. Conclusion I will lose. (i) Use two words to represent the above premises. (11 Allocate symbols to simple propositions. (111) Show that the argument is valid by using the rules of inference.
i) Premises: 1. Investing -> Losing, 2. Not losing
Conclusion: Losing
ii) Let p = "I invest in stock market" and q = "I will lose money"
Investing -> Losing can be represented as p -> q
Not losing can be represented as ¬q
The statement "I invest in stock market or I will lose money" can be represented as p ∨ q.
iii) To show that the argument is valid, we need to use the rules of inference. One way to do this is by using a proof by contradiction:
Assume the conclusion is false, i.e., "I will not lose". Then:
Since p ∨ q is true and ¬q is true, we know that p must be true.
Therefore, from p -> q, we can deduce that q is true.
But we have already assumed that ¬q is true, which leads to a contradiction.
Therefore, our assumption that the conclusion is false must be incorrect, and the argument is valid.
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Write a program for guessing a number. The computer generates a random integer between 1 and 10, inclusively. The user guesses the number value with at most three tries. If the user gives the correct integer, the game terminates immediately. Otherwise, when the user has not used up the tries, the program shows a hint that narrows down the range of the integer after each guess. Assume the current range is lower to upper and the user takes a guess of x between lower and upper. If x is less than the correct number, the program narrows down the range to x + 1 to upper. If x is greater than the correct number, the program narrows down the range to lower to x-1. if x is outside the range of lower to upper, the program shows the range of lower to upper. When the user has used up the tries but still did not get the number, the program displays the number with some message and terminates the game. Requirement: • No error checking is needed. You can assume that the users always enter valid input data
This is a Python program that allows the user to guess a randomly generated number within a given range. Hints are provided, and the game ends after three incorrect guesses.
import random
def guess_number():
lower = 1
upper = 10
secret_number = random.randint(lower, upper)
tries = 3
while tries > 0:
guess = int(input("Guess a number between 1 and 10: "))
if guess == secret_number:
print("Congratulations! You guessed the correct number.")
return
elif guess < secret_number:
lower = guess + 1
print(f"Wrong guess. The number is higher. Range: {lower} to {upper}")
else:
upper = guess - 1
print(f"Wrong guess. The number is lower. Range: {lower} to {upper}")
tries -= 1
print(f"Out of tries. The number was {secret_number}. Game over.")
guess_number()
This program assumes that the user will always enter valid input (integer values within the specified range) and does not include error checking.
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