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- Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…3. Randomly generate a number in range [1, 12]. Map this number to a season: if the number is 3, 4, or 5, map it to “Spring", if the number is 6, 7, or 8, map it to "Summer", if the number is 9, 10, or 11, map it to "Fall", and if the number 12, 1, or 2, map it to "Winter". Display season nameCyclops numbersdef is_cyclops(n):A nonnegative integer is said to be a cyclops number if it consists of an odd number of digits so that the middle (more poetically, the “eye”) digit is a zero, and all other digits of that number are nonzero. This function should determine whether its parameter integer n is a cyclops number, and return either True or False accordingly n Expected result 0 True 101 True 98053 True 777888999 False 1056 False 675409820 False
- Language: C Pascal’s triangle is a triangular array, useful for calculating the binomial coefficients, n k , that are used in expanding binomials raised to powers, combinatorics and probability theory. 0 0 1 0 1 1 2 0 2 1 2 2 3 0 3 1 3 2 3 3 4 0 4 1 4 2 4 3 4 4 Evaluating the values of the binomial coefficients, you get the following pattern, 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 The number of the entries in each row is increased by one, as we move down. Each number in the triangle, is constructed by adding the number above it and to the left, with the number above it and to the right. The blank entries as treated as 0. Using the recursion, implement the function that computes the Pascal’s triangle. PrCoral Help Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, the 405 services the 5, and the 290 services the 90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 the output is: The 90 is primary, going east/west. Ex: If the input is: 290 the output is: The 290 is auxiliary, serving the 90, going east/west. Ex: If the input is: 0 or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number.See the sample outputs for more clarification. Project Specifications Input for this project: Values of the grid (row by row) Output for this project: Whether or not the grid is magic square Programmer's full name Project number Project due date Processing Requirements Use the following template to start your project: #include using namespace std; // Global constants // The number of rows in the array // The number of columns in the array // The value of the smallest number // The value of the largest number const int ROWS = 3; const int COLS = 3; const int MIN = 1; const int MAX = 9; // Function prototypes bool isMagicsquare(int arrayRow1[], int arrayRow2 [], int arrayRow3[], int size); bool checkRange (int arrayRow1[], int arrayRow2[], int arrayRow3[], int size, int min, int max); bool checkUnique(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size); bool checkRowSum (int arrayrow1[], int arrayrow2[], int arrayrow3[], int size); bool checkColiSum(int arrayrow1[], int…
- In C++Monkey Business A local zoo wants to keep track of how many pounds of food each of its three monkeys eats each day during a typical week. Write a program that stores this information in a two-dimensional 3 × 5 array, where each row represents a different monkey, and each column represents a different day of the week. The program should first have the user input the data for each monkey. Then, it should create a report that includes the following information: Average amount of food eaten per day by the whole family of monkeys. The least amount of food eaten during the week by any one monkey. The greatest amount of food eaten during the week by any one monkey. Write functions: average() least() greatest() main()Example: Enter an integer = 75 Smallest divisor is = 3Assignment 5A: Multiple Frequencies. In the last assignment, we calculated the frequency of a coin flip. This required us to have two separate variables, which we used to record the number of heads and tails. Now that we know about arrays, we can track the frequency of all numbers in a randomly generated sequence. For this program, you will ask the user to provide a range of values (from 1 to that number, inclusive) and how long of a number sequence you want to generate using that number range. You will then generate and save the sequence in an array. After that, you will count the number of times each number occurs in the sequence, and print the frequency of each number. Hints: You can use multiple arrays for this assignment. One array should hold the number sequence, and another could keep track of the frequencies of each number. Sample Output #1: What's the highest number you want to generate?: 5 How Long of a number sequence do you want to generate?: 10 Okay, we'll generate 10…
- When measuring angles values less than 0 or greater than 360 can be converted into the range [0,360]. Write R code that takes the vector x of angles c(45, 345, 600, 23, 705) and converts them into the correct angles in the range [0,360].Write code so that you take three integers a,b, and c display a^b - c.Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares. To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2). The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…