9: perfect.cpp) A number is called perfect if the sum of its divisors is equal to the original number. A number is called deficient if the sum of its divisors is less than the original number. A number is called abundant if the sum of its divisors is more than the original number. Write a program that answers the following questions: What numbers below 5000 are perfect? What odd numbers below 5000 are abundant? What are the relative proportions of deficient, abundant, and perfect numbers? 5000 should be in a global constant.
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Addition of Two Numbers
Adding two numbers in programming is essentially the same as adding two numbers in general arithmetic. A significant difference is that in programming, you need to pay attention to the data type of the variable that will hold the sum of two numbers.
C++
C++ is a general-purpose hybrid language, which supports both OOPs and procedural language designed and developed by Bjarne Stroustrup. It began in 1979 as “C with Classes” at Bell Labs and first appeared in the year 1985 as C++. It is the superset of C programming language, because it uses most of the C code syntax. Due to its hybrid functionality, it used to develop embedded systems, operating systems, web browser, GUI and video games.
Please use C++ language and only use the library <iostream>. Thank you!
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- Lucky Pairs Richie and Raechal are participating in a game called "Lucky pairs" at the Annual Game Fair in their Company. As per the rules of the contest, two members form a team and Richie initially has the number A and Raechal has the number B.There are a total of N turns in the game, and Richie and Raechal alternatively take turns. In each turn, the player's number is multiplied by 2. Richie has the first turn. Suppose after the entire N turns, Richie’s number has become C, and Raechal’s number has become D, the final score of the team will be the sum of the scores (C+D) of both the players after N turns. Write a program to facilitate the quiz organizers to find the final scores of the team. Input and Output Format:The only line of input contains 3 integers A, B, and N.Output a single line that contains the integer that gives the final score of the team which will be the sum of the scores of both the players after N turns.Refer sample input and output for formatting specifications.…Q3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…Perfect numbers are numbers that are equal to the sum of their positive divisors except itself. The smallest perfect number is 6. The 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 MATLAB function that checks if a given number is a perfect number.
- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. anglers have recently gotten back from a fishing excursion. The I-th angler has gotten a fish of weight man-made intelligence. Anglers will flaunt the fish they got to one another. To do as such, they initially pick a request where they show their fish (every angler shows his fish precisely once, in this way, officially, the request for showing fish is a stage of integers from 1 to n). Then, at that point, they show the fish they discovered by the picked request. At the point when an angler shows his fish, he may either become glad, become dismal, or stay content. Assume an angler shows a fish of weight x, and the most extreme load of a formerly shown fish is y (y=0 if that angler is quick to show his fish). Then, at that point: in the event that x≥2y, the angler becomes cheerful; in the event that 2x≤y, the angler becomes miserable; in the event that none of these two…CCC '13 J1 - Next in line Canadian Computing Competition: 2013 Stage 1, Junior #1 You know a family with three children. Their ages form an arithmetic sequence: the difference in ages between the middle child and youngest child is the same as the difference in ages between the oldest child and the middle child. For example, their ages could be 5, 10 and 15, since both adjacent pairs have a difference of 5 years. Given the ages of the youngest and middle children, what is the age of the oldest child? Input Specification The input consists of two integers, each on a separate line. The first line is the age Y of the youngest child (0Sevens rule, zeros drooldef seven_zero(n):Seven is considered a lucky number in Western cultures, whereas zero is what nobody wants to be. We now bring these two opposites briefly together with positive integers that consist of some solid sequence of sevens, followed by some (possibly empty) solid sequence of zeros. Examples of such integers are 7, 77777, 7700000, 77777700, or 700000000000000. A surprising theorem proves that for any positive integer n, there exist infinitely many integers of such seven-zero form that are divisible by n. This function should return the smallest such seven-zero integer. This exercise is about efficiently generating all numbers of the constrained form of sevens and zeros in strictly ascending order to guarantee finding the smallest working such number. This logic might be best written as a generator to yield such numbers. The body of this generator consists of two nested loops. The outer loop iterates through the number of digits d in the current number.…Duplicate digit bonus def duplicate_digit_bonus(n): Some people ascribe deep significance to numerical coincidences, so that consecutive repeated digits or other low description length patterns, such as a digital clock blinking 11:11, seem special and personal to them. Such people then find numbers with repeated digits to be more valuable and important than all the ordinary and pedestrian numbers without any obvious pattern. For example, getting inside a taxicab flashing an exciting number such as 1234 or 6969 would be far more instagrammable than a more pedestrian taxicab adorned with some dull number such as 1729.Assume that some such person assign a meaningfulness score to every positive integer so that every maximal block of k consecutive digits with k>1 scores 10**(k-2) points for that block. A block of two digits scores one point, three digits score ten points, four digits score a hundred points, and so on. However, just to make this more interesting, there is also a special…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. PrC Programming Language (Code With C Programming Language) Problem Title : Visible Trees There is a legend about a magical park with N × N trees. The trees are positioned in a square grid with N rows (numbered from 1 to N from north to south) and N columns (numbered from 1 to N from west to east). The height (in metres) of each tree is an integer between 1 and N × N, inclusive. Magically, the height of all trees is unique. Bunga is standing on the northmost point of the park and wants to count the number of visible trees for each Column. Similarly, Lestari is standing on the westmost point of the park and wants to count the number of visible trees for each Row. A tree X is visible if all other trees in front of the tree X are shorter than the tree X. For example, let N = 3 and the height (in metres) of the trees are as follows6 1 87 5 32 9 4 On the first column, Bunga can see two trees, as the tree on the third row is obstructed by the other trees. On the second column, Bunga can see…Sevens rule, zeros drool def seven_zero(n): Seven is considered a lucky number in Western cultures, whereas zero is what nobody wants to be. Let us briefly bring these two opposites together by looking at positive integers that consist of some solid sequence of sevens, followed by some (possibly empty) solid sequence of zeros. Examples integers of this form are 7, 77777, 7700000, 77777700, and 70000000000000. A surprising theorem proves that for any positive integer n, there exist infinitely many integers of such seven- zero form that are divisible by n. This function should return the smallest such seven-zero integer. Even though discrete math and number theory help, this exercise is not about coming up with a clever symbolic formula and the proof of its correctness. This is rather about iterating through the numbers of this constrained form of sevens and zeros efficiently and correctly in strictly ascending order, so that the function can mechanistically find the smallest working…Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for someone to come and tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The count of how many different ways a positive integer n can be represented as a sum of consecutive integers is also called its politeness, and can be alternatively computed by counting how many odd divisors that number has. However, note that the linked…The card that wins the trick def winning_card(cards, trump=None): Playing cards are again represented as tuples of (rank,suit) as in the cardproblems.py lecture example program. In trick taking games such as whist or bridge, four players each play one card from their hand to the trick, committing to their play in clockwise order starting from the player who plays 0irst into the trick. The winner of the trick is determined by the following rules: If one or more cards of the trump suit have been played to the trick, the trick is won by the highest ranking trump card, regardless of the other cards played. If no trump cards have been played to the trick, the trick is won by the highest card of the suit of the 0irst card played to the trick. Cards of any other suits, regardless of their rank, are powerless to win that trick. Ace is the highest card in each suit. Note that the order in which the cards are played to the trick greatly affects the outcome of that trick, since the 0irst…SEE MORE QUESTIONS