Part 1: Convert the following maxheap from a tree representation to a Python list representation. 89...
Data Structures and Algorithms (Java Programming) Given the following list of inputs: 47, 83, 56, 30, 12, 67, 35, 25, 80, 61 a) Trace the development of the heap in abstract form that would evolve by inserting the inputs in the order that they are presented. b) Draw the final version of the array representation of this heap, i.e. you need not show the array develop. c) What property of a heap led to the array being smaller than that...
B trees java
NAME CSC 236 HW #3 (B-trees & heaps) 1. Given a B-tree of order 5, add the elements 1, 12, 8, 2, 25, 5, 14, 28, 17, 7, 52, 16, 48, 68, 3, 26, 29, 53, 55, 45 into a B-tree in this order. Draw the diagrams to show the B-tree after each element is added. 2. Add the elements 27, 35, 23, 22, 4, 45, 21, 5, 42, 19 into a heap in this order Draw...
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...
need solution plz
Question 1 (CLO-4, PLo-3) Figure 1 show an input tree T. 1. Analyze the tree and mention weather the tree is a heap or not by checking heap's property. If yes, justify your answer. If no, make it a heap by adjusting the node's location 2. Alter the value of T[l1] to 100 using alter-heap algorithm. Analyze the tree again and state whether i. The tree is still a heap or not? ii. If not, which one...
need full solution of this question plz help me
Question 1 (CLO-4, PLo-3) Figure 1 show an input tree T. 1. Analyze the tree and mention weather the tree is a heap or not by checking heap's property. If yes, justify your answer. If no, make it a heap by adjusting the node's location 2. Alter the value of T[l1] to 100 using alter-heap algorithm. Analyze the tree again and state whether i. The tree is still a heap or...
braw the binary min heap that results from inserting 8, 7, 3, 2, 4, 6, 9, 5, 1 in that order into an initially empty binary min hea p. Show final tree and the array representation of the heap. No need to show the intermediate work. 0 5 6 8 10 12 9. Consi der the binary heap shown below. What would the heap look like after deleteMin operation is performed? Show your work. 13 28 44 61 60 68...
Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of height h is 2h+1 − 1. 2. A full node is a node with two children. Prove that the number of full nodes plus one is equal to the number of leaves in a nonempty binary tree. 3. What is the minimum number of nodes in an AVL tree of height 15? 4. Show the result of inserting 14, 12, 18, 20, 27, 16,...
(c) Draw the binary heap structure that is equivalent to the following list (the root is first element). [5, 9, 8, 12, 15, 11, 19, 14, 20, 18, 17, 13] [4 marks] (d) Show the resulting tree after the value 6 is added to the heap in the part (c). Note that the binary heap properties must be restored after insertion. Show your working; you may show the data structure in tree or array form. [3 marks]
Question 46 2 pts Which of the following is incorrect about a red-black tree? Group of answer choices a. The leaves are always red b. A red-black tree is equivalent to a 2-4 tree c. A red node must have a black parent d. Every path from the root to the leaves must have the same number of red nodes e. a and d Flag this Question Question 47 2 pts Given the following maxheap, assuming heap entries start at...
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...