Homework Answers
preorder B tree with the Array given:
AVL : Now you can perform Left or Right Rotation to balance it.
For more info you can reference : https://www.geeksforgeeks.org/avl-tree-set-1-insertion/
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CSC 372 Quiz Binary Search Trees 11/14/2 Using the following numbers, 90, 80, 70,, 60, 50,...
Using the following input data: 50 60 90 80 70 78 75 73 74 Demonstrate how...
Using the following input data: 50 60 90 80 70 78 75 73 74 Demonstrate how to insert nodes into a splay tree. You are required to show steps and indicate when splaying was carried out. 1d. Compare and Contrast AVL and Splay Trees.
Generate a binary search tree for following numbers and perform in-order and post-order traversals: 50, 40,...
Generate a binary search tree for following numbers and perform in-order and post-order traversals: 50, 40, 80, 20, 0, 30, 10, 90, 60, 70 (JAVA)
This assignment helps to reinforce your understanding of AVL trees (and thus binary search trees). Implement...
This assignment helps to reinforce your understanding of AVL trees (and thus binary search trees). Implement method restructure in file AVLTree.java. Submit only file AVLTree.java. You may use either the cut/link restructuring algorithm or the trinode restructuring algorithm (in the textbook). The latter is recommended as it makes program tracing and debugging easier. Output Expectation: single rotation - Right Test case 1a: Preorder : 40 30 50 Postorder: 30 50 40 Test case 1b: Preorder : 40 30 60 50...
If you insert 26 into the following binary search tree using the algorithm that keeps the...
If you insert 26 into the following binary search tree using the algorithm that keeps the tree height-balanced by doing rotations, what tree do you get? 60 40 70 25 65 80
4. i) Give the difference between binary trees and Binary search trees. Insert the values 50,...
4. i) Give the difference between binary trees and Binary search trees. Insert the values 50, 76, 21, 4, 32, 64, 15, 52, 14, 100, 2, 3, 70, 87, 80 in the BST [Show the steps]. Write the algorithm for all the 3 operations of BST ii) Insert the given items 16, 14, 10, 8, 7, 9, 3, 2, 4, l into the Min- Heap. [Show the steps]. Write the pseudocode for Insertion of items using the Min- Heap
Draw the tree resulting from inserting the following values into a binary search tree in order...
Draw the tree resulting from inserting the following values into a binary search tree in order without re-balancing: 40, 10, 60, 30, 20, 90, 70, 50 Null pointers can be omitted as long as it is clear whether a single child is a left or right child. THEN For every node in the tree, the values that can be in the subtree rooted at that node are constrained by ancestors to be in some range of integers. The root (the...
1.(10 pts) Contrast a heap with a binary search tree by inserting the numbers 60, 30,...
1.(10 pts) Contrast a heap with a binary search tree by inserting the numbers 60, 30, 40, 50, 20, 10 first in a BST and then in a min-heap. Draw the resulting BST on the left and the heap on the right. You may draw any valid BST or Heap that contain the provided values 2. (5 pts) In section 11.1, the book mentions that heaps are **complete** binary trees, what does that mean? Demonstrate by drawing an example of...
1. [10 pts.] AVL Trees: Example Operations (a) [5 pts.] Draw the AVL tree that results...
1. [10 pts.] AVL Trees: Example Operations
(a) [5 pts.] Draw the AVL tree that results from inserting key
45 into the following AVL
tree.
(b) [5 pts.] Draw the AVL tree that results from deleting key 70
from the following AVL
tree. NOTE: When deleting a key from an AVL tree, please follow the
textbook approach
of finding the node with the key using the function for standard
binary search trees.
If the key is in the tree and...
Q1: How many levels your binary search tree has (including level 0)? Is the binary search...
Q1: How many levels your binary search tree has (including level 0)? Is the binary search tree you created height balanced? 2.1 Click the animations “Binary Search Tree”. Click “Insert” button to insert the following elements in the sequence, “50, 20, 30, 70, 90, 80, 40, 10, 5, 60, 85, 95”. http://algoanim.ide.sk/index.php?page=showanim&id=44 Q2: What is the insertion process of the binary search tree? The new identical element is inserted as left or right child of the existing same value? 2.3...
Balanced Trees Identify the correctness of each of the following statements by marking either a T...
Balanced Trees
Identify the correctness of each of the following statements by marking either a T for true of F for false 1. (1 point)A balanced tree is exclusively defined as one in which the height of each sub-tree (or child) differs by no more than one (1). 2. (1 point)In a red-black tree, after rotating three nodes, the two children will each be red. 3. (1 point) One will only ever need to perform one rotation or color-flip in...
If you insert 26 into the following binary search tree using the algorithm that keeps the tree height-balanced by doing rotations, what tree do you get? 60 40 70 25 65 80
4. i) Give the difference between binary trees and Binary search trees. Insert the values 50, 76, 21, 4, 32, 64, 15, 52, 14, 100, 2, 3, 70, 87, 80 in the BST [Show the steps]. Write the algorithm for all the 3 operations of BST ii) Insert the given items 16, 14, 10, 8, 7, 9, 3, 2, 4, l into the Min- Heap. [Show the steps]. Write the pseudocode for Insertion of items using the Min- Heap
1. [10 pts.] AVL Trees: Example Operations
(a) [5 pts.] Draw the AVL tree that results from inserting key
45 into the following AVL
tree.
(b) [5 pts.] Draw the AVL tree that results from deleting key 70
from the following AVL
tree. NOTE: When deleting a key from an AVL tree, please follow the
textbook approach
of finding the node with the key using the function for standard
binary search trees.
If the key is in the tree and...
Balanced Trees
Identify the correctness of each of the following statements by marking either a T for true of F for false 1. (1 point)A balanced tree is exclusively defined as one in which the height of each sub-tree (or child) differs by no more than one (1). 2. (1 point)In a red-black tree, after rotating three nodes, the two children will each be red. 3. (1 point) One will only ever need to perform one rotation or color-flip in...
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