The following array is not a heap.
22,15,16,14,11,13,7,10,18,2,9,8,4
After calling MAX-HEAPIFY to correct that violation, the resulting array will be a heap. Show it in array form:
A Binary Heap is a complete binary tree which
is either Min Heap or Max Heap.
In a Max Binary Heap, the key at
the root must be maximum among all keys present in
Binary Heap. This property must be recursively
true for all nodes in Binary Tree.
{22,15,16,14,11,13,7,10,18,2,9,8,4} this given array is not a heap,so when we calling MAX-HEAPIFY function that will make given array to max-heap.
There are many possible max heap for
{22,15,16,14,11,13,7,10,18,2,9,8,4}
some are:-
{22, 18, 16, 15, 11, 13, 7, 10, 14, 2, 9, 8, 4}
{22, 18, 16, 15, 14, 11, 13, 7, 10, 2, 9, 8, 4 }
The following array is not a heap. 22,15,16,14,11,13,7,10,18,2,9,8,4 After calling MAX-HEAPIFY to correct that violation, the...
For binary heap, heapify-up, heapify-down, insert, delete min/max, heap sort pls give examples with solutions in C
• Apply the MAX-HEAPIFY algorithm to the following array A on node i = 2 and give the resulting array. | i Ali | 1 | 2 | 3 | 4 | 5 6 | 7 | 8 | 9 | 10 81 19 76 62 54 63 66 38 43 22 Answer: 1 2 3 4 5 6 7 8 9 10 Ai
Show that the worst-case runtime of the Algorithm Heapify is on an array of length n in Ω(log(n)). Note: Construct a heap A with n nodes and show that heapify is called recursively accordingly.
NOTE: Completing the Third Chart is the most important. This is one question with three parts. (4 pts) Is the following array-based tree a min-heap or a max-heap or not a heap at all? 85 91 S8 95 100 92 a. Min-heap b. Max-heap c. Not a heap 5 pts) Turn the following array-based binary tree into a max-heap. Show your work step by step. (You will not need all the columns) 34 7 12 47 19 5 pts) Show...
Heaps: Show by hand the Insertion of the following into a Max Binary Heap (aka, a Max Heap): 150, 166, 75, 20, 175, 111, 80, 95, 90, 25, 50, 92, 200, 5, 6. Show any steps that involve swapping nodes. Theory here Show the heap you generated in (a) in array form. Array here How could you use a heap to help you efficiently merge many (n> 2) sorted arrays into one sorted array? Theory here
1. Consider the following unordered list: 20, 35, 25, 10, 40, 50, 45. Perform heap sort to sort this list in nondecreasing (ascending) order. a. Perform the bottom-up method to arrange these values into a max heap. Show the heapify operations on each relevant subtree. (10 points) b. Show the tree representation and the array representation of these numbers after every dequeue operation. Remember that dequeue does not delete a number. Dequeue will instead remove that number from the heap...
QUESTION 16 Show the first pass of sorting the following array-based binary tree max-heap. In other words, show the first step in sorting, then re-heap the remaining tree into a max-heap. For answers that are not used, put null. You may use scratch paper to draw the trees if you wish. (You will not need all the columns)
Write a Java program, In this project, you are going to build a max-heap using array representation. In particular, your program should: • Implement two methods of building a max-heap. o Using sequential insertions (its time complexity: ?(?????), by successively applying the regular add method). o Using the optimal method (its time complexity: ?(?), the “smart” way we learned in class). For both methods, your implementations need to keep track of how many swaps (swapping parent and child) are required...
1. Which of the following is a proper array representation a binary min heap?2. A heap is implemented using an array. At what index will the right child of node at index i be found? Note, the Oth position of the array is not used.Select one:a. i/2b. 2 i+1c. i-1d. 2 i3. Consider the following array of length 6. Elements from the array are added, in the given order, to a max heap. The heap is initially empty and stored as an array.A={18,5,37,44,27,53}What...
Question 3. a. Draw the binary min heap represented by the following array: (5 points) 1 2 4 6 7 Value 4 9 12 29 17 14 16 b. Show the result of calling deleteMin twice on the heap you drew in part (a). Show the heap after each deleteMin, and circle the final heap. (5 points) c. Starting with the heap you ended up with in part (b), insert values 11 & 2 in that order. Draw the heap...