why does memoization fail to improve the MERGESORT’s time complexity, provide good reasons in why so.
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why does memoization fail to improve the MERGESORT’s time complexity, provide good reasons in why so.
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- What is the asymptotic time (big Oh) of the merge operation in mergesort?"Can you explain the difference between quicksort and mergesort algorithms, including their time complexity analysis and scenarios where one might be preferred over the other?"Create and implement a mergesort variant that returns an int[] array perm with perm[i] being the index of the i th smallest entry instead of rearranging the array.
- Develop a mergesort implementation based on the idea ofdoing k-way merges (rather than 2-way merges). Analyze your algorithm, develop a hypothesis regarding the best value of k, and run experiments to validate your hypothesisIs my mergesort implementation, correct?if we run lomuto quicksort(A, 1 , 5) how many key comparisons will be made
- To store linked lists in memory, employ static arrays or dynamically divided memory portions. How does each strategy differ?In the lecture you have seen how to determine the number of inversions in a field A[0,n) using mergesort. What would a corresponding algorithm look like based on quicksort insteadConsider the list: 5 6 3 8 9 3 1 7 21. How many element comparisons are required to sort it using Quicksort algorithm?2. How many element comparisons are required to sort it using Mergesort algorithm?3. How many element comparisons are required to find the minimum and the maximum elements?4. What is the time and space complexities of Quicksort, Mergesort, and MinMax algorithms?
- Diagram the contents of the array `{4,32,2,64,128,8,16,1}` at each stage as it is sorted by MergeSort. Feel free to use a | or - to indicate partitions to save space on each line. How many comparisons are made for this list?Q) Show the results of the following sequence of events, by drawing the state of the datastructure:add(4), add(8), add(1), add(6), remove(), remove()where add and remove are the operations that correspond to the basic operations in a:(a) Stack [5](b) Queue [5]I need to design, analyze, and implement algorithms to read in a sequence of characters from standard input and maintain the characters in a linked list with no duplicates. When read in a previously unseen character, insert it at the front of the list. When read in a duplicate character, delete it from the list and reinsert it at the beginning. The program implements the well-known move-to-front strategy which is useful for caching, data compression, and many other applications where items that have been recently accessed are more likely to be re-accessed. The program should read a sequence of characters and should insert unseen character at the front of the list. The program should check if the character is not in the list to be inserted at the front of the list. The program should delete a duplicate character and delete it from the list and insert it at the beginning of the list. The program should check if the character is already in the list and delete the character from the list…