i) Describe the strategic plan of the algorithm and explain what it computes. ii) Use big-Oh notation to express the complexity of this algorithm.
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i) Describe the strategic plan of the
ii) Use big-Oh notation to express the complexity of this algorithm.
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- Consider the following algorithm: Input: Array A and B both with n integers. Output: Array C with n integers such that C[j] is the maximum of A[j] and B[j] for all 1 B[i] then C[i] = A[i] else Cli] = B[i] 7. return A 5. 6. a Prove a tight upper bound on the running time of Swap in terms of O.Write a O(n) algorithm that sorts n distinct integers, ranging in size between 1 and kn inclusive, where k is a constant positive integer. (Hint: Use a knelement array.)Given n arrays, each array contain n positive integers. Write an O (n² log n) algorithm to find the smallest n sums out of nn possible sums that can be obtained by picking one positive integer from each of n arrays. For example, given three arrays as follows: [5, 1, 8], [5, 2,9], and [6,7, 10]. The smallest n sums of the given array is [9, 10, 12].
- Design an algorithm that takes an array containing n distinct natural numbers. A number k ≤ n and calculates the sum of the k largest numbers in the array. For example, if the array is {3, 7, 5, 12, 6} and k = 3, then the algorithm should return 25 (12+7+6). You may freely use standard data structure/s and algorithms from the course in your solutionJava: Consider the following algorithm for searching in an unsorted array. If the size of the array is 1, then check if it contains the element to be searched. Otherwise, divide the array into two halves, and recursively search both halves. Which of (a)–(c) is false? The running time of this algorithm is O(N) The actual running time of this algorithm is likely to be better than sequential search. This is an example of a divide‐and‐conquer algorithm all of the above are true none of the above is trueProblem 2: Suppose you are given an integer array A of length n and some integer z. Write an algorithm that searches the array for two integers x and y such that x + y = z. The algorithm should return the pair (x, y) if it finds that and some reserved token "NONE" if two such integers do not exist. Your algorithm must run in O(n) time and O(n) space.
- Describe an O(n) algorithm that does the following: Given an input array of n integers lying in the range 0 .. 3n - 1, the algorithm outputs the first integer that occurs in the array only once. (You may assume that each input array contains at least one number that has no duplicates in the array.) Explain why your algorithm has an O(n) running time. Example: If the input array is [1, 2, 4, 9, 3, 2, 1, 4, 5], then the return value is 9 since 9 is the first integer that occurs in the array only once. IGiven an array arr[] and an integer K where K is smaller than size of array, the task is to find the Kth smallest element in the given array. It is given that all array elements are distinct. Note :- l and r denotes the starting and ending index of the array. Example 1: Input: N = 6 arr[] = 7 10 4 3 20 15 K = 3 Output : 7.5. Find the time & space complexity of this algorithm int k = 0; for (int b = n/2; b>= 1; b /= 2) { while (k+bRewrite the linearSearch algorithm given below to output all positions of the element x in the array L, where S is ( "owu tu the set of all elements in L. Algorithm LinearSearch(r, L, n) Input: Array L, value x, and number n of elements in S Output: Position i, 0 < i< n such that L[i] = x, or –1 if x ¢ S while (i < n) and (L[i] # x) do iti + 1 if iCompute the total time of the following algorithm: 1 /** Returns true if there are no duplicate elements in the array. */ public static boolean unique1(int[] data) { int n = data.length; 2 3 4 5 6 7 8 9 } for (int j=0; jIn the following recursive function, A is the input array with size n. RANDOM(n) produces a uniformly random number between 1 and n. 1: function RECALG2(A, n) if n < 5 then return A[1] 2: for i + 1 to | yn] do A[i] <- A[i] – A[[i * /n]] s– A[1] k + RANDOM(n) if k < 2n/3 then s+ s+RECALG2(A,n) 3: 4: 5: 6: 7: 8: return s (a) Determine its worst case asymptotic time complexity. (b) Using probabilistic analysis, determine its average asymptotic time complexity.SEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education