An integer greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Key idea: To test whether a number is prime, check whether it is divisible by 2, 3, 4, and so on up to number/2. If a divisor is found, the number is not a prime. The algorithm can be described as follows:
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- Tiling: The precondition to the problem is that you are given threeintegers n, i, j, where i and j are in the range 1 to 2n. You have a 2n by 2n squareboard of squares. You have a sufficient number of tiles each with the shape . Your goalis to place nonoverlapping tiles on the board to cover each of the 2n × 2n tiles except forthe single square at location i, j. Give a recursive algorithm for this problem in whichyou place one tile yourself and then have four friends help you. What is your base case?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.…2) A BMI Calculator: the body mass index (BMI) is a measure used to determine whether a person is overweight or not. We can calculate BMI from the weight of the person (in pounds) and the height (in inches) of the person. The formula for calculating BMI is: BMI = (weightInPounds 703) divided by (heightInInches squared) In this problem, you will have to create a BMI calculator, i.e., a Java program, that reads the user's weight in pounds and height in inches, then calculates and displays the user's body mass index BMI. Also, display the following information from the US Department of Health) so the user can evaluate his/her BMI: BMI values: Underweight: less than 18.5 Normal: between 18.5 and 24.9 Overweight: between 25 and 29.9 Obese: 30 or greater
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- Problem 2: Postman Harry Harry is a postman. He's got a post office with a size of n rows and m columns. Each slot at the post office contains a number of letters. Harry can only go right and down. He starts at (0, 0), and ends at (n-1, m-1). Write a program that calculates the maximum amount of letters Harry can pick up. He can only pick up letters from a slot if he is on that slot. If the amount of letters is the same down and right, go right. Sample input/output: Enter the number of rows and columns: 35 Enter the number of letters in the 5 slots of row number 1: 5 2 60 1 Enter the number of letters in the 5 slots of row number 2: 2 4 3 9 2 Enter the number of letters in the 5 slots of row number 3: 8 72 3 4 The maximum number of letters Harry can pick is 32 solve using c++; (chapter 9: Variables / Assignments)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…