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(Compute π) You can approximate π by using the following summation:
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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_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
- [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(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(Count positive and negative numbers and compute the average of numbers) Write a program that reads an unspecified number of integers, determines how many positive and negative values have been read, and computes the total and average of the input values (not counting zeros). Your program ends with the input 0. Display the maximum, minimum, and average as a floating-point number. Here is a sample run:Enter an integer, the input ends if it is 0: 1 2 -1 3 0The number of positives is 3The number of negatives is 1The maximum is 3.0The minimum is -1.0The average is 1.25arrow_forward
- (Area and perimeter of a circle) Write a program that displays the area and perimeterof a circle that has a radius of 6.5 using the following formula:π = 3.14159perimeter = 2 x radius x πarea = radius x radius x πarrow_forward6. (Geometry: area of a pentagon) The area of a pentagon can be computed using the following formula (s is the length of a side): Area 5x s² 4 X tan TT 5 Write a program that prompts the user to enter the side of a pentagon and displays the area. Here is a sample run: Enter the side: 5.5 Enter The area of the pentagon is 53.04444136781625arrow_forward(Python) Please write a program that creates steps. You are expected to take in a single positive integer which will be used as the number of steps in your staircase. The program only accepts integers greater than 0 and less than 500. If 0 is entered a message stating "Your staircase has no steps." and if the user enters a value greater than or equal to 500, a message stating "I can't build a staircase that tall." For all other values not within the valid range or not integers an "Invalid staircase size provided." will be displayed to the user. The program will always run only once for each user input. One thing to note, the messages should be the return string from your printSteps() function and printed from the calling function. Additional Requirements: The very first step in the staircase will be left-aligned and for each subsequent level, the step will move above and to the right of the prior step. There are no spaces after the right of any of the steps. The bottom-most row ends…arrow_forward
- Microsoft Visual C#Computer ScienceISBN:9781337102100Author:Joyce, Farrell.Publisher:Cengage Learning,C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning