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- Problem Description: In the Whimsical Library, each book is enchanted with a magical code to ensure the protection of knowledge. The validation process for these magical codes involves a combination of mathematical spells. The validation process is described as follows: Take the sum of the digits at odd positions from left to right. Take the sum of the squared digits at even positions from left to right. If the absolute difference between the results from step 1 and step 2 is a prime number, the book code is considered valid; otherwise, it is invalid. Example 1: Consider the magical book code 86420137. Step 1. Take the sum of the digits at odd positions from left to right. 8+4+0+3=15 Step 2. Take the sum of the squared digits at even positions from left to right. 6^2+2^2+1^2+7^2=36+4+1+49 = 90 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 115-901 75 (not a prime number) Book code 86420137 is invalid. Example 2: Now, let's examine the…arrow_forwardHow to attempt? Question : The Card Game One day, Fred and his N friends were playing a card game in which each player throws a card with a number written on it. The cards are such that a number X is written on front of the card, and the negative of that number is written on the back side of the card. This game has the following rules: - Each of the N players is asked to throw a card. After all the N cards are thrown, Fred has to flip one or more cards in consecutive order, only once. Your task is to help Fred flip the cards in such a way that the sum of the numbers, on front face of the cards, is the maximum.arrow_forward5: CheckLetter.cpp) Write a program that adds a check letter to an eight-digit number. The check letter should be computed as follows: Break the number up into 4 two-digit numbers. Add the four numbers together. Find the remainder after division by 26. The check letter is the letter in the alphabet that corresponds to the number just computed. (A=0, B=1, C=2, etc.) Print the original number followed by the check letter. Use at least one function that returns a value when you write this program.arrow_forward
- Alert dont submit AI generated answer. (Central city) Given a set of cities, the central city is the city that has the shortest total distance to all other cities. Write a program that prompts the user to enter the number of the cities and the locations of the cities (coordinates), and finds the central city and its total distance to all other cities. Sample Run Enter the number of cities: 5 Enter the coordinates of the cities: 2.5 5 5.1 3 1 9 5.4 54 5.5 2.1 The central city is at (2.5, 5.0) The total distance to all other cities is 60.81 Class Name: Exercise08_21arrow_forward(In Java) In the game Clacker, the numbers 1 through 12 are initially displayed. The player throws two dice and may cover the number representing the total or the two numbers on the dice. For example, for a throw of 3 and 5, the player may cover the 3 and the 5 or just the 8. Play continues until all the numbers are covered. The goal is to cover all numbers in the fewest rolls. Create a Clacker application that displays 12 buttons numbered 1 through 12. Each of these buttons can be clicked to ‘cover’ it. A covered button displays nothing. Another button labelled Roll can be clicked to roll the dice. Include labels to display the appropriate die images for each roll. Another label displays the number of rolls taken. A New Game button can be clicked to clear the labels and uncover the buttons for a new game.arrow_forward(Written in Java or Python) Write a program that allows a user to select 3 points on a graphics panel. Then, draw a triangle using these 3 points. Allow the user to specify a number of random points to be generated inside of the triangle. For each random point that is within the boundaries of the triangle draw a small dot at each of the points that are halfway between the randomly generated point and each vertex of the triangle. Do not draw the randomly generated point. Allow the user to repeat the process without removing the old dots. Allow the user to clear the screen.arrow_forward
- Q1: (Palindrome number) Write a program that prompts the user to enter a three-digit integer and determines whether it is a palindrome number. A number is palindrome if it reads the same from right to left and from left to right. Here is a sample run of this program: Enter a three-digit integer: 121 121 is a palindrome Enter a three-digit integer: 123 123 not a palindromearrow_forward(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1 + 2 + 3 + 4 = 10 and 1 + 0 = 1, while 1235 is not (1 + 2 + 3 + 5 = 11 and 1 + 1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise notarrow_forward(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1+2+3+4 = 10 and 1 +0 = 1, while 1235 is not (1 +2+ 3 +5 = 11 and 1 +1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: Enter a positive integer number: 30 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136 145 154 163 172 181 190 199 208 217 226 235 244 253 262 You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise notarrow_forward
- (Find future dates) Write a program that prompts the user to enter an integer for today’s day of the week (Sunday is 0, Monday is 1, …, and Saturday is 6). Also prompt the user to enter the number of days after today for a future day and display the future day of the week.arrow_forward1) Simple Calculator: In Python, implement a simple calculator that does the following operations: summation, subtraction, multiplication, division, sqrt, power, natural log and abs. a) Follow the instructions below: To work with the calculator, the user is asked to enter the first number, then the operation, and finally, a second number if required. Your code has to recognize the need for the second number and ask for it if required. After performing one operation, the calculator prints the output of the operation. After performing one operation, the calculator must not exit. It has to start again for the next operation. The calculator will be closed if the user writes 'e' as any input. Use functions to perform the operations and the appropriate conditions to prevent common errors such as entering characters as one of the numbers etc. b) Run your code and provide the results for at least one example per operation. - -arrow_forwardQ7: (Find the second lowest integer number) Write a program that prompts the user to enter a set of integer numbers, and finally displays the second lowest integer number in the set. To exit from the program enter -1. Here is a sample run Enter a set of integer numbers: 3 5 7 9 2 8 -1 The second lowest number is 3arrow_forward
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