
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Select true or false for the statements below. Explain your answers if you like to receive partial credit
5) Which of the following is true about using the binary search
array with no holes and always keeping the order of the array intact?
a. Binary search improves the performance of delete to O(log n)
b. Binary search improves the performance of update to O(log n)
c. Binary search improves the performance of search to O(log n)
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- Question 1: Given array A = [10, 14, 19, 20, 21, 29, 32, 38, 47], fill the following table to show how BINARYSEARCH finds x. [3] In the table, the values low, high and mid are the first, last and mid index, respectively. The solution of the first table is provided for you as a hint. x=14 Iteration 1 2 3 4 (a)x=29 Iteration low 1 2 3 4 5 (b)x=47 low 1 1 3 4 5 (c) x=6 high 9 4 Iteration low high 1 2 high Iteration low high 1 2 3 4 5 Mid 5 2 mid mid I mid Afmid] vs x 21 > 14 14-14 A[mid] vs x Almid] vs x Almid] vs xarrow_forwardImplement external sort: for sort phase use normal sort, for merge phase use two way merge to merge n sorted files (merge2way(n)), for array sort use heapsort. Also write merge(f1, f2, f3) to merge two sorted files f1 and f2 into f3.. Write mergenway(n) method and print execution time of both merges for initial input file over 10MB data. A sample input is as follow:Note:First input is max array size for sort 10 84 82 52 80 96 85 75 75 82 87 92 89 57 94 93 92 63 99 87 72 73 56 74 50 84 62 72 55 86 75 74 100 83 60 53 68 89 67 66 65 72 94 73 54 98 96 85 75 75 82 87 92 89arrow_forwardUsing Java, 1. Implement external sort: for sort phase use normal sort, for merge phase use two way merge to merge n sorted files (merge2way(n)), for array sort use heapsort. Also write merge(f1, f2, f3) to merge two sorted files f1 and f2 into f3.. Write mergenway(n) method and print execution time of both merges for initial input file over 10MB data. A sample input is as follow:Note:Fist input is max array size for sort 10 84 82 52 80 96 85 75 75 82 87 92 89 57 94 93 92 63 99 87 72 73 56 74 50 84 62 72 55 86 75 74 100 83 60 53 68 89 67 66 65 72 94 73 54 98 96 85 75 75 82 87 92 89arrow_forward
- Suppose an array sorted in ascending order is rotated at some pivot unknownto you beforehand. (i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).Find the minimum element. The complexity must be O(logN)You may assume no duplicate exists in the array."""def find_min_rotate(array): """ Finds the minimum element in a sorted array that has been rotated. """ low = 0 high = len(array) - 1 while low < high: mid = (low + high) // 2 if array[mid] > array[high]: low = mid + 1 else: high = mid return array[low] def find_min_rotate_recur(array, low, high): """ Finds the minimum element in a sorted array that has been rotated. """ mid = (low + high) // 2 if mid == low:.arrow_forwardBelow 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)arrow_forwardWrite an array that matches the following requirement, and provide explanation of how you got your answer.--> Using a insertion sort on the array compared to using a selection sort requires FEWER comparisons of elements.arrow_forward
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