How does the 'divide and conquer' algorithmic paradigm work, and can you provide an example of an algorithm that follows this approach?"
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- what is serial algorithm? Can you think of an algorithm for sorting 3 single-digit numbers into numerical order (e.g, 6, 2, 5 beginning order)? What are the steps? Can you think of an algorithm for "true happiness?" Why might this be more difficult than sorting 3 single-digit numbers?What is the difference between Transform and Conquer & Divide and Conquer? Justify your answer by providing at one example for each algorithm in solving a problem.Both Dijkstra and Prim's algorithms are so fundamental in understanding the areas of greedy algorithms and Graph theory. Because of that, they are taught in literally every algorithms and graph theory class. So it is very important for you to have a complete and clear understanding of these algorithms. Also, understanding these two algorithms open the door to solving other similar problems. There are many articles and references available out there for the topics. You may do your own research as much as you can but you should come out with your own words to explain how they work in detail along with a few slides to summarize them. Please be mindful of the spirit of ELI5 and try to prove it in simple English.
- Suppose you are using a search algorithm to solve the 15-puzzle problem (i.e., the 4x4 version of the sliding-block puzzle we discussed in class). What are the benefits and drawbacks of using a depth first search? What are the benefits and drawbacks of using a breadth first search?Computer science. Correct answer will be upvoted else downvoted. Think about a n by n chessboard. Its columns are numbered from 1 to n from the top to the base. Its sections are numbered from 1 to n from the passed on to one side. A cell on a convergence of x-th line and y-th section is indicated (x,y). The fundamental corner to corner of the chessboard is cells (x,x) for all 1≤x≤n. A stage of {1,2,3,… ,n} is composed on the fundamental slanting of the chessboard. There is actually one number composed on every one of the cells. The issue is to segment the cells under and on the principle askew (there are by and large 1+2+… +n such cells) into n associated areas fulfilling the accompanying imperatives: Each district ought to be associated. That implies that we can move from any cell of a locale to some other cell of a similar area visiting just cells of a similar district and moving from a cell to a neighboring cell. The x-th area ought to contain cell on the fundamental…We saw the mechanics of Tree Traversals and discussed how they're different from one another, but if we want to write practical software, we also need to know when we should be using the techniques we're learning about. In each of the scenarios described below in which a tree traversal is required, what would be the appropriate kind of tree traversal to use? For each one, briefly explain (in no more than a sentence or two) why. 1. You're writing an analysis tool for a hierarchical organization, in which there is one person fundamentally in charge, to whom some number of people report, to each of whom some number of people report, and so on. There is a ranking in the organization, so the person in charge has rank 1, the people who report to that person have the rank 2, the people who report to the rank-2 people have the rank 3, and so on. Your input is this kind of organizational hierarchy. Your desired output is to be able to find the highest-ranking person (i.e., the person with the…
- How would you recommend fixing a Genetic Algorithm's local solution issue so that it could find a global optimum solution?Design a top-down algorithm (based on dynamic programming and recursion; i.e. memory function) for checking the existence of a winning strategy for the “Rocks” game. Hints: • Give it the name: RocksMF(n,m) where n,m are the number of rocks on the two piles • Use recursion to call the algorithm itself to solve smaller subproblems • Use a global variable for the two-dimensional tableDescribe a divide and conquer algorithm approach that will compute the number of times a specific number appears in a sequence of numbers. Example {3,4,5,4,3,5,4,4,3} want to know the number of 5s - returns 2. Show all the steps on how your algorithm would work on the example numbers.
- The puzzle called the Towers of Hanoi consists of three pegs, one of which contains several rings stacked in order of descending diameter from bottom to top. The problem is to move the stack of rings to another peg. You are allowed to move only one ring at a time, and at no time is a ring to be placed on top of a smaller one. Observe that if the puzzle involved only one ring, it would be extremely easy. Moreover, when faced with the problem of moving several rings, if you could move all but the largest ring to another peg, the largest ring could then be placed on the third peg, and then the problem would be to move the remaining rings on top of it. Using this observation, develop a recursive algorithm for solving the Towers of Hanoi puzzle for an arbitrary number of rings.Create a broad strategy for analysing recursive algorithms.Can you describe the mental image you get when you think about email? The path an email takes after being sent. Take notes on what you have learnt thus far. Has anybody uncovered the root of these discrepancies and if so, what are they? In terms of complexity, can your models handle a wide range of inputs?