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1)
a)in worst case you might traverse through the entire list to find
the particular value so O(n)
b) if you use binary search then you can search the element in
worst case O(logn)
c)as the array is unsorted in worst case you might have to traverse
the entire array so O(n)
d)O(n) as you have to move the elements to right while inserting ,
the no of elements to be moved can be n in worst case
1. (10 pts) What is the order of each of the following tasks in the worst...
1) (10 pts) What are the worst case run times of each of the following operations? Make sure to list your answer in terms of the appropriate variables in the prompt. Note that on occasion, some of the run times won't be dependent on some of the variables listed in the prompt. (a) Inserting an item to the front of a linked list of n elements. (b) Sorting n integers using Quick Sort. (c) Merging a sorted list of a...
1. What is the worst case time complexity of insertion into a binary search tree with n elements? You should use the most accurate asymptotic notation for your answer. 2. A binary search tree is given in the following. Draw the resulting binary search tree (to the right of the given tree) after deleting the node with key value 8. 10 3. You have a sorted array B with n elements, where n is very large. Array C is obtained...
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2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A (7,3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array. 3. What is the worst case for quick sort? What is the worst case time com- plexity for quick sort and why? Explain what modifications we can make to quick sort to make it run faster, and why this helps. 4. Gi pseudocode for an algorithm that will solve the following...
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the two problems are related. Please explain your answer in full detail Problem 1: On input a Binary Search Tree T show how to output an array that contains all the elements in T in sorted order. What's the running time of your algorithm? Does it perform any comparisons? Problem 2: Your classmate claims that they have an algorithm that on input n elements, constructs a Binary Search Tree T with those n elements using only O(n) comparisons. Can you...
5. A three-heap with n elements can be stored in an array A, where A[O] contains the root of the tree. a) Draw the three-heap that results from inserting 5, 2, 8, 3, 6, 4, 9, 7, 1 in that order into an initially empty three-heap. You do not need to show the array representation of the heap. You are only required to show the final tree, although if you draw intermediate trees. b) Assuming that elements are placed in...
1. Let A = {a1, ..., an} and B = {b1, ..., bm} be two sets of numbers. Consider the problem of finding their intersection, i.e., the set C of all the numbers that are in both A and B. a. Design a presorting based algorithm for solving this problem and determine its efficiency class. 2. Estimate how many searches will be needed to justify time spent on presorting an array of 103 elements if sorting is done by mergesort...
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