Homework Answers
5.1 Is this a binary tree? Yes. It is a binary tree, because each node has atmost two nodes.
5.2 Is this a binary search tree? No. It is not a binary search tree, because the left nodes are greater than the parent nodes.
5.3 Is this a complete binary tree? Yes. It is a complete binary tree because, all nodes are filled except last level, and all unfilled nodes are towards the right.
5.4 What is the left subtree of Node T?
This is subtree is a Binary tree but not a BST or complete BT
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Use the tree below to answer the following questions: Is this a binary tree? Is this...
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...
Can someone help with these two problems? The following binary tree contains the characters 'A' through...
Can someone help with these two problems?
The following binary tree contains the characters 'A' through 'G' in its nodes. List the nodes in the order that they are visited by: A preorder traversal. An inorder traversal. A postorder traversal. The binary tree in Problem 2 is a Binary Search Tree since for every node, all elements stored in the left subtree of the node are smaller than the element in the node and all elements stored in the right...
C++, data structure using :binarySearchTree Deleting an element from a binary search tree is far more complicated than i...
C++, data structure using :binarySearchTree Deleting an element from a binary search tree is far more complicated than inserting an element in a binary search tree. An analysis of binary search tree deletion finds 4 cases: Case 1: The node to be deleted has no left and right subtrees Case 2: The node to be deleted has no left subtree but does have a right subtree. Case 3: The node to be deleted has no right subtee but does have...
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...
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...
Beginning with an empty binary search tree, what binary search tree is formed when you add the following letters in the order given?
Trees-related questionsBeginning with an empty binary search tree, what binary search
tree is formed when you add the following letters in the order
given? J, N, B, A, W, E, TRepresent the following binary tree with an array What is the result of adding 3 and 4 to the 2-3 tree shown
below?Why does a node in a red-black tree require less memory than a
node in a 2-3-4 tree?Why can’t a Red-Black Tree have a black child node with exactly...
In a binary tree, the balance ratio of node v, bal(v), is the number of nodes...
In a binary tree, the balance ratio of node v, bal(v), is the number of nodes in the left subtree of node v divided by the sum of the number of nodes in the right and left subtrees of node v. bal(a leaf node) = ½. A tree T is said to be ε-balanced if, for all nodes v in T, ½ - ε < bal(v) < ½ + ε. Design an efficient recursive algorithm that determines whether a binary...
Complete in Java : Question 2: Write a program that can convert a sorted array into...
Complete in Java : Question 2: Write a program that can convert a sorted array into a balanced binary search tree. A binary search tree is a balanced binary search tree if the size of the left and right subtree at each node differs by at most one. The size of the left subtree is defined as the number of nodes in the left subtree. The size of the right subtree is defined as the number of nodes in the...
/* * struct for a single node in a binary tree. data contains the int *...
/* * struct for a single node in a binary tree. data contains
the int
* stored in this node. left and right contain pointers to the
left and
* right subtrees respectively. *
* All of the ints stored in the left subtree is smaller than
data.
* All of the ints stored in the right subtree is larger than
data.
*/
struct node {
int data;
struct node *left;
struct node *right;
};
typedef struct node node;
Write...
Write Prolog rules as described in the questions below. You may use any Prolog builtin predicates....
Write Prolog rules as described in the questions below. You may use any Prolog builtin predicates. A binary tree is defined by the structure node(left,right), where left and right can be either another node or any Prolog data item. Write the rule isBalanced(Tree) that determines if the tree is balanced. A binary tree is balanced if, at every node, the difference between the number of leaves appearing in the left and right subtree is at most one. (A tree which...
Can someone help with these two problems?
The following binary tree contains the characters 'A' through 'G' in its nodes. List the nodes in the order that they are visited by: A preorder traversal. An inorder traversal. A postorder traversal. The binary tree in Problem 2 is a Binary Search Tree since for every node, all elements stored in the left subtree of the node are smaller than the element in the node and all elements stored in the right...
Trees-related questionsBeginning with an empty binary search tree, what binary search
tree is formed when you add the following letters in the order
given? J, N, B, A, W, E, TRepresent the following binary tree with an array What is the result of adding 3 and 4 to the 2-3 tree shown
below?Why does a node in a red-black tree require less memory than a
node in a 2-3-4 tree?Why can’t a Red-Black Tree have a black child node with exactly...
/* * struct for a single node in a binary tree. data contains
the int
* stored in this node. left and right contain pointers to the
left and
* right subtrees respectively. *
* All of the ints stored in the left subtree is smaller than
data.
* All of the ints stored in the right subtree is larger than
data.
*/
struct node {
int data;
struct node *left;
struct node *right;
};
typedef struct node node;
Write...
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