Which of the following is true about the Mergesort algorithm applied to an array of numbers that are all different?
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Select true or false for the statements below. Explain your answers if you like to receive
partial credit
9) Which of the following is true about the Mergesort
numbers that are all different?
a. Memory usage is efficient because all swaps take place within the same array
b. Performance is consistently at O(n log n) for all array scenarios
c. When the partition function completes on the array, the pivot element will
always be in the exact center of the array
Step by step
Solved in 2 steps
- Below is how the arrays are represented ARRAY1[] = [1, 5, 6, 6, 9, 9, 9, 11, 11, 21] Here length of ARRAY1 is m. ARRAY2[] = [6, 6, 9, 11, 21, 21, 21] Here length of ARRAY2 is n. Array to be returned would be: ARRAY[] = [6, 9, 11, 21] ATTN : Further, please be reminded that you cannot use library functions to either sort and or perform the de-duplication operation. solve the problem in two ways In a separate implementation, code up a solution in such a way that your solution solves the problem with O(nlog(m)) time complexity 2 or O(mlog(n)) time complexity. Here log means to the base of 2. I’m sure you already know that the hint is to use Binary Search. In the form of sentences, as a comment in your code (at the bottom of your Solution2), you are required to suggest how can Solution2 be improved by leveraging the fact that both the arrays are already sorted. Suggest a solution so that your suggested solution can run linearly with O(m + n) time complexity. Your suggestion should be no…Below is the exercise for unsorted arrays. True or False: For each statement below, indicate whether you think it is True or False 3) For the insert function, if the array is empty, there are no comparison operations that need to be performed and you can immediately add the new element 5) Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario 6) If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) 7) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)True or False For each statement below, indicate whether you think it is True or False Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)
- True or False For each statement below, indicate whether you think it is True or False For the insert function, if the array is empty, there are no comparison operations that need to be performed and you can immediately add the new element Binary search can be used on an unsorted array to significantly improve its performance from O(n) to O(1) Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)Select true or false for the statements below. Explain your answers if you like to receive partial credit2) Which of the following is true about searching elements in an ordered array?a. You cannot use binary search on an ordered array so the performance is O(n)b. If there are no holes in the array and the elements are all next to each other,then the performance for search improves to O(1)c. If you do a linear search on a sorted array, the performance improves toO(log n)Select true or false for the statements below. Explain your answers if you like to receive partial credit1) Which of the following is true about searching elements in an unordered array?a. With the data is unsorted, search is O(n) because if the element you arelooking for is not there, you have to check every element in the arrayb. If you start at the end of the array and traverse to index 0, search improvesto O(log n) because you only have to look at half of the arrayc. If you get lucky with checking the first element and find it immediately, thenthe worst case performance of search improves to O(n^2)
- Wap Given a sorted array nums, remove the duplicates in-place such that each element appears only once and returns the new length. Do not allocate extra space for another array, you must do this by modifying the input array in-place with O(1) extra memory. Clarification: Confused why the returned value is an integer but your answer is an array? Note that the input array is passed in by reference, which means a modification to the input array will be known to the caller as well. Internally you can think of this: // nums is passed in by reference. (i.e., without making a copy) int len = removeDuplicates(nums); // any modification to nums in your function would be known by the caller. // using the length returned by your function, it prints the first len elements. for (int i = 0; i < len; i++) { print(nums[i]); } Example 1: Input: nums = [1,1,2] Output: 2, nums = [1,2] Explanation: Your function should return length = 2, with the first two elements of nums being 1 and 2…Following is the partition function for quicksort, where we have used the leftmost number as a pivot. Assume that our array, ARR = {14, 8, 7, 38, 22, 15, 9}, which is 7 in size. What will be the array ARR after we apply "partition(A, 0, 6)"* 9, 15, 22, 38, 7, 8, 14 7, 8, 9, 14, 15, 22, 38 9, 8, 14, 7, 22, 15, 38 9, 8, 7, 14, 22, 15, 38 7, 9, 15, 22, 38, 14, 6 38, 22, 15, 14, 9, 8, 7I hope this question will be solved in less than an hour and not taken from other sitesdata structure Given the following array: 65, 15, 129, 22, 12, 10, 239, 334, 10, 111, 180, 1, 2 What will be the array contents looking like in the following situations: 1) after calling the partition method three times in quick sort if pivot is the last element. 2) after the third iteration of the outer loop in insertion sort. 3) after the third iteration of the outer loop in Selection sort.
- Select true or false for the statements below. Explain your answers if you like to receive partial credit 6) Given an array [10 9 8 7 6 5 4 3 2 1], which of the following is true of the followingsorting algorithms if we wanted to sort this array into ascending order?a. If we used optimized bubble sort on this array, the performance is O(n)b. If we used MergeSort on this array, the performance is O(n log n)c. If we used InsertionSort on this array, the performance is near O(n)In class we introduced an algorithm to find the ??ℎ smallest number, which is based on the randomized-partition. Let us assume that instead of randomized partition, we always select the last element of the array as the pivot. Use the algorithm to find the 2nd and the 6th smallest elements of the following array. Array = [7, 12, 3, 9, 19, 18, 11, 17] Show the detail of your work separately for each caseTrue or False For each statement below, indicate whether you think it is True or False. If you like, you can provide a description of your answer. 1) If you use binary search on a sorted array, the performance at worst is O(log n) 2) For the insert algorithm, if you use binary search to find the location to insert the new element, it will improve the overall performance of the algorithm to O(log n) 3) For the update algorithm in a sorted array, all you have to do is use linear or binary search to find the element you want to change, and if you find it, you only need to change it to the new value 4) Binary search can be used on an unsorted array