Perfect numbers are numbers that equal the sum of their positive divisors except itself. The smallest perfect number is 6. Positive divisors of 6: The sum of the divisors of 1, 2, 3 and 6 except itself: 1 + 2 + 3 = 6 and 6 is a perfect number. Likewise, the positive divisors of 28: 1, 2, 4, 7, 14, 28 is the sum of the divisors except itself: 1 + 2 + 4 + 7 + 14 = 28 and 28 is a perfect number. So, write a C program that checks if a given number is a perfect number.
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Perfect numbers are numbers that equal the sum of their positive divisors except itself. The smallest perfect number is 6. Positive divisors of 6: The sum of the divisors of 1, 2, 3 and 6 except itself: 1 + 2 + 3 = 6 and 6 is a perfect number. Likewise, the positive divisors of 28: 1, 2, 4, 7, 14, 28 is the sum of the divisors except itself: 1 + 2 + 4 + 7 + 14 = 28 and 28 is a perfect number.
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- A number is called a perfect number if it is equal to the sum of all of its divisors, not including the number itself. For instance, 6 is a perfect number because the divisors of 6 are 1, 2, 3, 6 and 6 = 1 + 2 + 3. As another example, 28 is a perfect number because its divisors are 1, 2, 4, 7, 14, 28 and 28 = 1 + 2 + 4 + 7+ 14. However, 15 is not a perfect number because its divisors are 1, 3, 5, 15 and 15 6= 1 + 3 + 5. Write an algorithm that asks the user to enter a positive integer n and prints all the perfect numbers that are less than n.Manhattan skyline def manhattan_skyline(towers):This classic problem in computational geometry (essentially, geometry that can be done using only integer arithmetic; yes, that is an actual thing) is best illustrated by pictures and animations such as those on the page "The Skyline problem", so you can first check that it out to get an idea of what is going on. Given a list of rectangular towers as tuples (s, e, h) where s and e are the start and end x-coordinates (satisfying e>s) and h is the height of that tower, compute and return the total visible area of the towers, being careful not to double count two or more towers that are partially overlapping. All towers share the same flat ground baseline at the height. The classic solution illustrates the important sweep line technique that starts by creating a list of precisely those x-coordinate values where something relevant to the problem takes place. In this problem, the relevant x-coordinates are those where some tower either…A number is called pandigital if it uses all of the digits from 1 to n exactly once, where n is the number of digits in the number. So, for example, the five-digit number 15432 is pandigital, but the five-digit number 11132 is not. Again, the four-digit number 4123 is pandigital, but the four-digit number 8312 is not. Finally, the one-digit number 1 is pandigital, but the one-digit number 3 is not. You should use list comprehension in your solution. Fill out the function is_pandigital. Hint: Using the range function list out all the numbers that should be in a pandigital number of a given length and then check if each of those numbers appears in the number you're checking >>> is_pandigital(1) True >>> is_pandigital(2) False >>> is_pandigital(12) True >>> is_pandigital(15432) True >>> is_pandigital(11123) False def is_pandigital(num): Note: Python Programming
- Blackout Math is a math puzzle in which you are given an incorrect arithmetic equation. The goal of the puzzle is to remove two of the digits and/or operators in the equation so that the resulting equation is correct. For example, given the equation 6 - 5 = 15 ^ 4/2we can remove the digit 5 and the / operator from the right-hand side in order to obtain the correct equality 6 - 5 = 1 ^ 42. Both sides of the equation now equal to 1. Observe how removing an operator between two numbers (4 and 2) causes the digits of the numbers to be concatenated (42). Here is a more complicated example: 288 / 24 x 6 = 18 x 13 x 8 We can remove digits and operators from either side of the equals sign (either both from one side, or one on each side). In this case, we can remove the 2 from the number 24 on the left-hand side and the 1 from the number 13 on the right-hand side to obtain the correct equality 288 / 4 x 6 = 18 x 3 x 8 Both sides of the equation now equal to 432. Here is another puzzle for you…JAVA CODE PLS Rectangle by CodeChum Admin A rectangle can be formed given two points, the top left point and the bottom right point. Assuming that the top left corner of the console is point (0,0), the bottom right corner of the console is point (MAX, MAX) and given two points (all "x" and "y" coordinates are positive), you should be able to draw the rectangle in the correct location, determine if it is a square or a rectangle, and compute for its area, perimeter and center point. To be able to do this, you should create a class for a point (that has an x-coordinate and a y-coordinate). Also, create another class called Rectangle. The Rectangle should have 2 points, the top left and the bottom right. You should also implement the following methods for the Rectangle: display() - draws the rectangle on the console based on the sample area() - computes and returns the area of a given rectangle perimeter() - computes and returns the perimeter of a given rectangle centerPoint() -…The Penny Pitch game is popular in amusement parks. Pennies are tossed onto aboard that has certain areas marked with different prizes. For example: The prizes available on this board are puzzle, game, ball, poster, and doll. At the end ofthe game, if all of the squares that say BALL are covered by a penny, the player gets theball. This is also true for the other prizes. The board is made up of 25 squares (5 x 5).Each prize appears on three randomly chosen squares so that 15 squares contain prizes.Create a penny_pitch application that displays a Penny Pitch board (use [ and ] toindicate squares) with prizes randomly placed and then simulates ten pennies being randomly pitched onto the board. After the pennies have been pitched, the applicationshould display a message indicating which prizes have been won, it any.
- IN JAVA Alice and Bob are playing a board game with a deck of nine cards. For each digit between 1 to 9, there is one card with that digit on it. Alice and Bob each draw two cards after shuffling the cards, and see the digits on their own cards without revealing the digits to each other. Then Alice gives her two cards to Bob. Bob sees the digits on Alice’s cards and lays all the four cards on the table in increasing order by the digits. Cards are laid facing down. Bob tells Alice the positions of her two cards. The goal of Alice is to guess the digits on Bob’s two cards. Can Alice uniquely determine these two digits and guess them correctly? Input The input has two integers p,q (1≤p<q≤9) on the first line, giving the digits on Alice’s cards. The next line has a string containing two ‘A’s and two ‘B’s, giving the positions of Alice’s and Bob’s cards on the table. It is guaranteed that Bob correctly sorts the cards and gives the correct positions of Alice’s cards. Output If Alice can…23. A perfect number is a positive integer that is equal to the sum of its positive divisorsexcept the number itself. The first two perfect numbers are 6 and 28 since 6=1+2+3and 28=1+2+4+7+14. Write a computer program that finds thefirst four perfect numbersMany companies use telephone numbers like 555-GET-FOOD so the number is easier for their customers to remember. On a standard telephone, the alphabetic letters are mapped to numbers in the following fashion: A, B, and C 2 D, E, and F 3 G, H, and I 4 J, K, and L 5 M, N, and O 6 P, Q, R, and S 7 T, U, and V 8 W, X, Y, and Z 9 Write a program that asks the user to enter a 10-character telephone number in the format XXX-XXX-XXXX. The application should display the telephone number with any alphabetic characters that appeared in the original translated to their numeric equivalent. For example, if the user enters 555-GET-FOOD the application should display 555-438-3663. Gaddis Tony. Starting Out with Python (2-downloads) (p. 367). Pearson Education. Kindle Edition.
- Java - Encapsulation A rectangle can be formed given two points, the top left point and the bottom right point. Assuming that the top left corner of the console is point (0, 0), the bottom right corner of the console is point (MAX, MAX) and given two points (all “x” and “y” coordinates are positive), you should be able to draw the rectangle in the correct location, determine if it is a square or a rectangle, and compute for its area, perimeter and center point. To be able to do this, you should create a class Point (that has an x-coordinate and a y-coordinate). Also, create another class called Rectangle. The Rectangle should have 2 points, the top left and the bottom right. You should also implement the following methods for the Rectangle: display() - draws the rectangle on the console based on the samplearea() - computes and returns the area of a given rectangleperimeter() - computes and returns the perimeter of a given rectanglecenterPoint() - computes and returns the center point…Many companies use telephone numbers like 555-GET-FOOD so the number is easier for their customers to remember. On a standard telephone, the alphabetic letters are mapped to numbers in the following fashion:A, B, and C = 2D, E, and F = 3G, H, and I = 4J, K, and L = 5M, N, and O = 6P, Q, R, and S = 7T, U, and V = 8W, X, Y, and Z = 9Create an application that lets the user enter a 10-character telephone number in the format XXX-XXX-XXXX. The application should display the telephone number with any alphabetic characters that appeared in the original translated to their numeric equivalent. For example, if the user enters 555-GET-FOOD, the application should display 555-438-3663.A Python Programming in Physics and Materials Science. In physics, chemistry and materials science, percolation refers to the movement and filtering of fluids through porous materials.(Wikipedia.org). Consider a simplified model below. Imagine, this is a filter or maybe some layers of stones such that when a certain amount of fluid is put on top, it will reach the bottom only if there is a direct passage. In this case, the blue squares serve as the porous materials or the holes where fluid may pass. Your task is to simulate this simple percolation by representing them in a 2-dimensional array. The input would be in a string, while the output would either be yes or no to indicate whether the fluid can pass through the filter or not. Example: Input: “1,0,0,0,0;0,1,0,0,0;0,1,0,0,0;0,0,1,0,0;0,0,0,1,0” Output: Yes Note: It should also work with these two inputs: “1” -> Yes “0” -> No