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(Compute π) You can approximate π by using the following summation:
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Instructor Solutions Manual For Introduction To Java Programming And Data Structures, Comprehensive Version, 11th Edition
- (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(Financial: credit card number validation) Credit card numbers follow certain pat- terns. A credit card number must have between 13 and 16 digits. It must start with: 4 for Visa cards 5 for Master cards 37 for American Express cards 6 for Discover cards In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustra- tion, consider the card number 4388576018402626): 1. Double every second digit from right to left. If doubling of a digit results in a two-digit number, add up the two digits to get a single-digit number. 4388576018402626 → 2 * 2 = 4 → 2 * 2 = 4 → 4 * 2 = 8 → 1 * 2 = 2 6 * 2 = 12 (1+ 2 = 3) → 5 * 2 = 10 (1+ 0 = 1) → 8 * 2 = 16 (1 + 6 = 7) → 4 * 2 = 8arrow_forward
- (PYTHON) A Krishnamurthy number is a number which sum of the factorial of its digits is equal to the number itself. For example: Let us consider the number 145. Factorial sum = 1! + 4! + 5! = 1 + 24 + 120 = 145. Therefore 145 is a Krishnamurthy number. Other examples include: 1, 2, 40585. Write a program that does the following: • asks the user to input an integer. • computes whether the number is a Krishnamurthy number. • then finally prints the result. Note: You are not allowed to use the built-in function math.factorial.arrow_forward(Demonstrate cancellation errors) A cancellation error occurs when you are manipulating a very large number with a very small number. The large number may cancel out the smaller number. For example, the result of 100000000.0 + 0.000000001 is equal to 100000000.0. To avoid cancellation errors and obtain more accurate results, carefully select the order of computation. For example, in computing the following series, you will obtain more accurate results by comput- ing from right to left rather than from left to right: 1 1 1 1+ + 3 + ... 2 п Write a program that compares the results of the summation of the preceding series, computing from left to right and from right to left with n = 50000.arrow_forward5. (Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ax + by = e cx + dy = f ● x = ed - bf bc ad y = af - ec ad bc - Write a program that prompts the user to enter a, b, c, d, e, and f and display the result. If ad- bc is 0, report that The equation has no solution. Enter a, b, c, d, e, f: 9.0, 4.0, 3.0, -5.0, -6.0, -21.0 Enter x is -2.0 and y is 3.0 Enter a, b, c, d, e, f: 1.0, 2.0, 2.0, 4.0, 4.0, 5.0 Enter The equation has no solutionarrow_forward
- (Sum the digits in an integer) Write a program that reads an integer between 0 and 1000 and adds all the digits in the integer. For example, if an integer is 932, the sum of all its digits is 14.arrow_forward(Geometry: distance of two points) Write a program that prompts the user to enter two points (x1, y1) and (x2, y2) and displays their distance between them. The formula for computing the distance is: Square root of ((x2 - x1) squared + (y2 - y1) squared) Note that you can use pow(a, 0.5) to compute square root of a. Sample Run Enter x1 and y1: 1.5 -3.4 Enter x2 and y2: 4 5 The distance between the two points is 8.764131445842194arrow_forward[Calculate grades’ average for a student] write a program that calculates the student grades’ average for a semester for the number of courses taken in that semester. Your program should do the following: 1.Read from user the number of courses (n) 2. Then, read the courses’ grades for n times (Hint: use a loop) 3.If a grade is grater than 100 or less than 0, ask the user to enter the grade again. 4.Calculate the average of grades using the following formula: average = (sum of grades) / n 5.Print out the average grade on the screen. Note: Always use appropriate data types.arrow_forward
- (Calculating the Product of Odd Integers) Write an application that calculates the product of the odd integers from 1 to 15.arrow_forward(Financial application: payroll) Write a Java program that reads the following information and prints a payroll statement:arrow_forward(True or False) Seven different positive integers are randomly chosen between 1 and 2022 (including 1 and 2022).There must be a pair of these integers has a difference that is a multiple of 6.arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning