Homework Answers
c)
height of the tree
maximum number of comparisons for finding an element in tree is equal to the height of the binary search tree.
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Which property of a binary search tree affects the number of comparisons required to find a...
1 Binary Search Trees (25 points) Consider the binary tree as shown in Figure 1. 9...
1 Binary Search Trees (25 points) Consider the binary tree as shown in Figure 1. 9 5 15 10 17 8 Figure 1: Binary Tree: The letter next to each node (e.g., a, b) denotes the tree node, and the number inside each node is the key. 1.1 Correctness (10 points) Is this binary tree a valid binary search tree? In other words, does it satisfy the binary search tree property? If not, which node(s) violates the binary search tree...
Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of...
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,...
Data Structures and Algorithms What is the: a. maximum number of levels that a binary search...
Data Structures and Algorithms What is the: a. maximum number of levels that a binary search tree with 100 nodes can have? b. minimum number of levels that a binary search tree with 100 nodes can have? c. maximum total number of nodes in a binary tree that has N levels? (Remember that the root is level 0.) d. maximum number of nodes in the Nth level of a binary tree? e. number of ancestors of a node in the...
A Binary Search Tree is a binary tree where nodes are ordered in the following way:...
A Binary Search Tree is a binary tree where nodes are ordered in the following way: each node contains one key (also known as data) the keys in the left subtree are less than the key in its parent node the keys in the right subtree are greater than the key in its parent node duplicate keys are not allowed Create a Binary Search Tree inserting the following list of numbers in order from left to right. 10, 6, 4, 8, 18, 15, 21 Please type...
Language = c++ Write a program to find the number of comparisons using the binary search...
Language = c++ Write a program to find the number of comparisons using the binary search and sequential search algorithms as follows: o Suppose list is an array of 1000 elements. o Use a random number generator to fill the list. o Use the function insertOrd to initially insert all the elements in the list. o You may use the following function to fill the list: void fill(orderedArrayListType& list) { int seed = 47; int multiplier = 2743; ...
A balanced binary tree is a binary tree structure in which the left and right subtrees of every node differ
Data structures C++1- A balanced binary tree is a binary tree structure in which the left and right subtrees of every node differ in height by no more than 1 Out of the following choices, which is the minimum set of nodes, if removed, will make the BST balanced?2- Which of the following is true for Red-Black Trees ? Select all choices that apply! Select one or more: a. For each node in the tree, all paths from that node to any leaf nodes contain...
Insert the following values in the given order into a Binary Search Tree and use the...
Insert the following values in the given order into a Binary Search Tree and use the resulting BST in the next 5 questions. 15 8 3 6 23 9 11 10 20 13 5 9. What is the height of the resulting Binary Search Tree? 10. What is the depth of the node that stores the value 11? 11. Is there a path from the node storing the value 15 to the node storing the value 5? If so, show...
Recall that in a binary search tree, at every node, all elements to the left of...
Recall that in a binary search tree, at every node, all elements to the left of the node have a smaller key, and all elements to the right of a node have a larger key. Write a program called that takes two parameters: a pointer to a binary search tree node, and an int parameter called min which will print all the elements bigger than the specified value, min. Your program should allow the user to enter data (integer) from...
Consider the partial implementation of a Binary Search Tree (BST) class. For simplicity, each Node stores...
Consider the partial implementation of a Binary Search Tree
(BST) class. For simplicity, each Node stores only the key. Add a
public member function to class BST that returns the largest
absolute value in the tree.
The language is C++
Want the height
#4 Coding [6 points] Consider the partial implementation of a Binary Search Tree (BST) class. For simplicity, each Node stores only the key. Add a public member function to class BST that returns the height of the...
What is the difference between the binary-search-tree property and the min-heap property (see page 129)? Can...
What is the difference between the binary-search-tree property and the min-heap property (see page 129)? Can the min-heap property be used to print out the keys of an n-node tree in sorted order in O(n) time? Explain how or why not.
1 Binary Search Trees (25 points) Consider the binary tree as shown in Figure 1. 9 5 15 10 17 8 Figure 1: Binary Tree: The letter next to each node (e.g., a, b) denotes the tree node, and the number inside each node is the key. 1.1 Correctness (10 points) Is this binary tree a valid binary search tree? In other words, does it satisfy the binary search tree property? If not, which node(s) violates the binary search tree...
Consider the partial implementation of a Binary Search Tree
(BST) class. For simplicity, each Node stores only the key. Add a
public member function to class BST that returns the largest
absolute value in the tree.
The language is C++
Want the height
#4 Coding [6 points] Consider the partial implementation of a Binary Search Tree (BST) class. For simplicity, each Node stores only the key. Add a public member function to class BST that returns the height of the...
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