Concept explainers
(Pythagorean Triples) A right triangle can have sides whose lengths are all integers. The set or three integer values for the lengths or the sides of a right triangle is called a Pythagorean triple. The lengths of the three sides must satisfy the relationship that the sum of the squares of two of the sides is equal to the square of the hypotenuse. Write an application that displays a table of the Pythagorean triples for side1, Side2 and the hypotenuse, all no larger than 500. Use a triple-nested for loop that tries all possibilities. This method is an example of “brute-force” computing. You’ll learn in more advanced computer-science courses that for many interesting problems there’s no known
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- (Factorials) Factorials are used frequently in probability problems. The factorial of a positive integer n (written n! and pronounced “n factorial”) is equal to the product of the positive integers from 1 to n. Write an application that calculates the factorials of 1 through 20. Use type long . Display the results in tabular format. What difficulty might prevent you from calculating the factorial of 100?arrow_forward(Geometry: area of a regular polygon) A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon is n x s? Area 4 X tan Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area. Here is a sample run:arrow_forwardBroken Cabins Problem Statement: There is an Office consisting of m cabins enumerated from 1 to m. Each cabin is 1 meter long. Sadly, some cabins are broken and need to be repaired. You have an infinitely long repair tape. You want to cut some pieces from the tape and use them to cover all of the broken cabins. To be precise, a piece of tape of integer length t placed at some positions will cover segments 5,5+1-sit-1. You are allowed to cover non-broken cabins, it is also possible that some pieces of tape will overlap. Time is money, so you want to cut at most k continuous pieces of tape to cover all the broken cabins. What is the minimum total length of these pieces? Input Format The first line contains three integers n,m and k(1sns10°, namsloº, Isksn) - the number of broken cabins, the length of the stick and the maximum number of pieces you can use The second line contains n integers bl,b2,bn (Isbism) - the positions of the broken cabins. These integers are given in increasing…arrow_forward
- "NEED ONLY CODE NO EXPLANATION" Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output. Input: 4 2 2 Output 4arrow_forward(True/False): A segment descriptor does not contain segment size informationarrow_forward(In java) Lab6C: Cha-Ching For this lab, use a do-while loop.A sentinel loop is a loop (a special while loop or a do-while loop) that continues to process data until itreaches a specific value(s) that signals that it should stop looping; this special value(s) is usuallyindicated as the condition of the while or do-while loop. A good example of a sentinel loop is the whileloop that you had to write to verify user input in Lab6B, the special values were anything in the range of1 to 1000. Another very common application for this is allowing a user to rerun a program.Please write a very simple program that mimics a bank account. The program should start the user outwith $1000. The program should print out a welcome menu once with the options present for the user.The program should allow the user to make a deposit, withdrawal, and see their current balance.Every time the user deposits or withdraws, the program should show the user their new balance; itshould also ask the user if they want…arrow_forward
- (Random Walk Robot) A robot is initially located at position (0, 0) in a grid [−5, 5] × [−5, 5]. The robot can move randomly in any of the directions: up, down, left, right. The robot can only move one step at a time. For each move, print the direction of the move in and the current position of the robot. Use formatted output to print the direction (Down, Up, Left or Right) in the left. The direction takes 10 characters in total and fill in the field with empty spaces. The statement to print results in such format is given below: cout << setw(10) << left << ‘Down’ << ... ; cout << setw(10) << left << ‘Up’ << ...; If the robot moves back to the original place (0,0), print “Back to the origin!” to the console and stop the program. If it reaches the boundary of the grid, print “Hit the boundary!” to the console and stop the program. A successful run of your code may look like: Due to randomness, your results may have a different trajectory…arrow_forward(Random Walk Robot) A robot is initially located at position (0, 0) in a grid [−5, 5] × [−5, 5]. The robot can move randomly in any of the directions: up, down, left, right. The robot can only move one step at a time. For each move, print the direction of the move in and the current position of the robot. Use formatted output to print the direction (Down, Up, Left or Right) in the left. The direction takes 10 characters in total and fill in the field with empty spaces. The statement to print results in such format is given below: cout << setw(10) << left << ‘Down’ << ... ; cout << setw(10) << left << ‘Up’ << ...; If the robot moves back to the original place (0,0), print “Back to the origin!” to the console and stop the program. If it reaches the boundary of the grid, print “Hit the boundary!” to the console and stop the program. A successful run of your code may look like: Due to randomness, your results may have a different…arrow_forward(Target-Heart-Rate Calculator) While exercising, you can use a heart-rate monitor to see thatyour heart rate stays within a safe range suggested by your trainers and doctors. According to the American Heart Association (AHA) (www.americanheart.org/presenter.jhtml?identifier=4736), theformula for calculating your maximum heart rate in beats per minute is 220 minus your age in years.Your target heart rate is a range that is 50–85% of your maximum heart rate. [Note: These formulas areestimates provided by the AHA. Maximum and target heart rates may vary based on the health, fitness andgender of the individual. Always consult a physician or qualified health care professional before beginning ormodifying an exercise program.] Create a class called HeartRates. The class attributes should include theperson’s first name, last name and date of birth (consisting of separate attributes for the month, dayand year of birth). Your class should have a constructor that receives this data as…arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning