Consider the following directions for shampooing hair: • Rinse hair • Put shamp0o on hair • Lather • Repeat Is this a good example of an algorithm? Do you see any problems with the algorithm. Explain.
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- Given a list of integers, we want to know whether it is possible to choose a subset of some of the integers, such that the integers in the subset adds up to the given sum recursively. We also want that if an integer is chosen to be in the sum, the integer next to it in the list must be skipped and not chosen to be in the sum. Do not use any loops or regular expressions. Test cases: skipSum([2, 5, 10, 6], 12) true skipSum([2, 5, 10, 6], 7) false skipSum([2, 5, 10, 6], 16) false Given code: public static boolean skipSum (List list, int sum) { // call your recursive helper method return skipSumHelper (list, e, sum); 1. 2. 3. 4.1. The entrance room (or the starting of the maze) is considered as level 1. Now, answer these following questions: (a). Write an algorithm to figure out how many maximum levels the maze can go up to. (b). Figure out the complexity of your algorithm. To create a maze some rooms of a building is connected. Starting room is called Entrance room. From the entrance room other rooms are there connected from it. However, some rooms of that maze- building have connected room from it, and some rooms do not have any connected room. Each of the room can have at most or up to two rooms connected from it. The starting room is the entrance room of the maze or building. Fore example: It can be any one like the followings: Exemple -: Room1 Roono Room Entrance Room Raom Room2 Room? Roo Roomo Here, maxinum level =7 Example -2; Entrace Room D- Room5 Room 2 Room 4 Maxximum level=3Python Please. An interesting puzzler for chess buffs is the Knight’s Tour problem, originally proposed by the mathematician Euler. Can the knight piece move around an empty chessboard and touch each of the 64 squares once and only once? We study this intriguing problem in depth here. The knight makes only L-shaped moves (two spaces in one direction and one space in a perpendicular direction). Thus, as shown in the figure below, from a square near the middle of an empty chessboard, the knight (labeled K) can make eight different moves (numbered 0 through 7). A: Draw an eight-by-eight chessboard on a sheet of paper, and attempt a Knight’s Tour by hand. Put a 1 in the starting square, a 2 in the second square, a 3 in the third, and so on. Before starting the tour, estimate how far you think you’ll get, remembering that a full tour consists of 64 moves. How far did you get? Was this close to your estimate? B: Now let’s develop a script that will move the knight around a chessboard…
- Please help me this using recursion and java. Create a sierpenski triangle. And please comment the code. Do not create the game using hashtaPersonal project Q5. This question is concerned with the design and analysis of recursive algorithms. You are given a problem statement as shown below. This problem is concerned with performing calculations on a sequence ? of real numbers. Whilst this could be done using a conventional loop-based approach, your answer must be developed using a recursive algorithm. No marks will be given if your answer uses loops. FindAverageAndProduct(a1, ...., an) such that n > 1 Input: A sequence of real values A = (a1, ..., an) Output:, A 2-tuple (average, product) containing the average (average) of all the values and the product (product) of all the values of the elements in A. Your recursive algorithm should use a single recursive structure to find the average and product values, and should not use two separate instances of a recursive design. You should not employ any global variables. (a) Produce a pseudo code design for a recursive algorithm to solve this problem. (b) Draw a call-stack…Do you reach many, do you reach one? def knight_jump(knight, start, end): An ordinary chess knight on a two-dimensional board of squares can make an “L-move” into up to eight possible neighbours. However, we can generalize the entire chessboard into k dimensions from just the puny two. A natural extension of the knight's move to keep moves symmetric with respect to these dimensions is to define the possible moves as some k-tuple of strictly decreasing nonnegative integer offsets. Each one of these k offsets must be used for exactly one dimension of your choice during the move, either as a positive or a negative version.For example, the three-dimensional (4,3,1)-knight makes its way by first moving four steps along any one of the three dimensions, then three steps along any other dimension, and then one step along the remaining dimension, whichever dimensions that was. These steps are considered to be performed together as a single jump that does not visit or is blocked by any of the…
- Java: Implement a recursive method that takes as a parameter a non-negative integer and generates the following patterns of starts. If the non-negative integer is 5, then the pattern generated is ***** **** *** ** * * ** *** **** *****just need some help brainstorming through this problem. Provide a regular expression σ over the alphabet {a, b, c} for the set: with an even number of a’s (2a, 4a ...etc) example: the set of strings with at least one substring aa{a, b, c, ε}^∗, aa, {a, b, c, ε}^∗ Please provide solution correctly if you attempt thisImplement a sorting algorithm of your choice in Java and What are some factors to consider when determining which sorting algorithm would be best to utilize? In your answer, specifically think of and give a real-life scenario where: A given sorting algorithm is used One algorithm outperforms the other Please and Thank you
- Personal project Q5. This question is concerned with the design and analysis of recursive algorithms. You are given a problem statement as shown below. This problem is concerned with performing calculations on a sequence A of real numbers. Whilst this could be done using a conventional loop-based approach, your answer must be developed using a recursive algorithm. No marks will be given if your answer uses loops. FindAverageAndProduct(a1, ...., an) such that n > 1 Input: A sequence of real values A = (a1, ...., an) Output:, A 2-tuple (average, product) containing the average (average) of all the values and the product (product) of all the values of the elements in A. Your recursive algorithm should use a single recursive structure to find the average and product values, and should not use two separate instances of a recursive design. You should not employ any global variables. (a) Produce a pseudo code design for a recursive algorithm to solve this problem. (b) Draw a call-stack…do the algorithm for this. do this typewritten. ill upvoteA prime number is an integer greater than 1 whose only positive divisors are 1 and the integer itself. The Greek mathematician Eratosthenes developed an algorithm, known as the Sieve of Eratosthenes, for finding all prime numbers less than or equal to a given number n—that is, all primes in the range 2 through n. Consider the list of numbers from 2 through n. Two is the first prime number, but the multiples of 2 (4, 6, 8,...) are not, and so they are crossed out in the list. Hie first number after 2 that was not crossed out is 3, the next prime. We then cross out from the list all higher multiples of 3 (6, 9, 12,…). The next number not crossed out is 5, the next prime, and so we cross out all higher multiples of 5 (10, 15, 20,…). We repeat this procedure until we reach the first number in the list that has not been crossed out and whose square is greater than n. All the numbers that remain in the list are the primes from 2 through n. Write a program that uses this sieve method and an…