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.
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What is the difference between Transform and Conquer & Divide and Conquer? Justify your answer by providing at one example for each
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- Describe 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.Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time complexity of the algorithm in the worst case scenario. function mult (a, b) if b = 0: return 0 else if b is odd: return (mult (2a, b/2 ) +a) else: return (mult (2a, b/2 ) )You are the TA for the FCP course in environment engineering. You are given the midsem and endsem marks for the N Students in the course. A student P is said to dominate a student Q, if the midsem and endsem marks of P are both greater than the respective midsem and endsem marks of Q. Design an efficient algorithm for finding all the students that are not dominated by any other student in the class. Analyse the time complexity as well
- Correct answer will be upvoted else downvoted. Computer science. You are given two positive (more noteworthy than nothing) integers x and y. There is a variable k at first set to 0. You can play out the accompanying two kinds of tasks: add 1 to k (i. e. allocate k:=k+1); add x⋅10p to k for some non-negative p (i. e. relegate k:=k+x⋅10p for some p≥0). Track down the base number of tasks depicted above to set the worth of k to y. Input The main line contains one integer t (1≤t≤2⋅104) — the number of experiments. Each experiment comprises of one line containing two integer x and y (1≤x,y≤109). Output For each experiment, print one integer — the base number of tasks to set the worth of k to y.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…For the problem of finding the closest two points (and the distance between these two points) among n given points in the Cartesian coordinate system, find the lower bound by using the problem reduction method. You have to find the problem by which you will reduce that problem. Clearly write down the reduction you have applied in pseudocode and explain why the lower bound you found is a lower bound for this problem.
- Given n> 3 points P1 = (X1, y1), ..., Pn = (Xn, Yn) in the coordinate plane, design an algorithm to check whether all the points lie within a triangle with its vertices at three of the points given. You can either design an algorithm from scratch or transform the problem to another one with a known algorithm. %3DPlease solve the running time of the problem below. Please show your solution. See attached photo for the example. int exam_2(int n) { int i, j, sum = 0; if(n==1) { return 1; } for(i=1; i<=n/2; i++) { for(j=1; j<=n; j+=3) { sun += j; } } return sum + exam_2(n/3);}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=3
- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Sasha likes exploring diverse mathematical articles, for instance, wizardry squares. However, Sasha comprehends that enchanted squares have as of now been examined by many individuals, so he sees no feeling of concentrating on them further. All things considered, he designed his own kind of square — a superb square. A square of size n×n is called prime if the accompanying three conditions are held all the while: all numbers on the square are non-negative integers not surpassing 105; there are no indivisible numbers in the square; amounts of integers in each line and every segment are indivisible numbers. Sasha has an integer n. He requests you to view as any great square from size n×n. Sasha is certain beyond a shadow of a doubt such squares exist, so help him! Input The principal line contains a solitary integer t (1≤t≤10) — the number of experiments. Every one…Correct answer will be upvoted else downvoted. Computer science. You are given three positive (more prominent than nothing) integers c, d and x. You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107). Output For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.The Computer Science club is sponsoring a jigsaw puzzle contest. Jigsaw puzzles are assembled by fitting 2 pieces together to form a small block, adding a single piece to a block to form a bigger block, or fitting 2 blocks together. Each of these moves is considered a step in the solution. Use the second principle of induction to prove that the number of steps required to assemble an n-piece jigsaw puzzle is n − 1.