Draw a maximally balanced binary search tree that can be produced from the elements: 1, 2,...
Draw a maximally balanced binary search tree that can be produced from the elements: 1, 2, 3, 4, 5, 6, 7, 8, 9. Hint: a maximally balanced binary search tree minimises the average depth of its elements.
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Draw a maximally balanced binary search tree that can be
produced from the elements: 1, 2,...
17. Given the array pictured below, draw the binary tree that can be created from its...
17. Given the array pictured below, draw the binary tree that can be created from its ele- ments. (The elements are arranged in the array to represent a tree as discussed in this section.) [ol [1] 2 3[4 5 [6 7(8] [9 15 10 12 3 47 8 3 20 178
Tree & Hash Table & Heap Use the following integer keys 73, 58, 91, 42, 60, 130, 64, 87 to perform the followings: a) Binary Search Tree - Draw a binary search tree - Retrieve the integers ke...
Tree & Hash Table & Heap Use the following integer keys 73, 58, 91, 42, 60, 130, 64, 87 to perform the followings: a) Binary Search Tree - Draw a binary search tree - Retrieve the integers keys in post-order - Retrieve the integers keys in pre-order - Draw a binary search tree after node 58 is deleted b) Create a Hash Table using the methods described below. Show the final array after all integer keys are inserted. Assumes that...
3. (8 points) Using the implementation of binary search tree operations we discussed in class, draw...
3. (8 points) Using the implementation of binary search tree operations we discussed in class, draw the trees that result from the following operations: (a) Inserting 142, 400, 205, 127, 100, 320, 160, 141, and 110 into an initially-empty tree (in that order). (b) Deleting 142 from the tree you drew for part (a). 4. (8 points) Draw the unique binary tree that has a preorder traversal of 4, 1, 6, 3, 7, 5, 9, 2, 8 and an inorder...
in python 11.1 Binary Search Tree In this assignment, you will implement a Binary Search Tree...
in python
11.1 Binary Search Tree In this assignment, you will implement a Binary Search Tree You will also need to implement a Node class. This class will not be tested, but is needed to implement the BST. Your BST must implement the following methods. You are free to implement additional helper methods. It is recommended you create your own helper methods Constructor: Creates an Empty Tree String Method: Returns the string "Empty Tree" for an empty tree. Otherwise, returns...
Show that the tree height of a height-balanced binary search tree with n nodes is O(log...
Show that the tree height of a height-balanced binary search tree with n nodes is O(log n). (Hint: Let T(h) denote the fewest number of nodes that a height-balanced binary search tree of height h can have. Express T(h) in terms of T(h-1) and T(h-2). Then, find a lower bound of T(h) in terms of T(h-2). Finally, express the lower bound of T(h) in terms of h.)
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...
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...
a) Create a binary search tree with the 4 2 2 0 1 4 5 9...
a) Create a binary search tree with the 4 2 2 0 1 4 5 9 7 1 5 3 6 number. b) Provide the Preorder, Inorder and Postorder traversal of tree obtained in part (a). Show all the steps.
answer number 7 5. Draw the binary search tree that would result from inserting the following...
answer number 7
5. Draw the binary search tree that would result from inserting the following numbers into an initially empty tree in the order given: 45, 37, 62, 67, 49, 51, 16, 8, 73, 71, 64, 65 6. Given the tree created in problem 5, draw the tree that would result if you deleted the 37 from the tree? 7. Given the tree created in problem 5, draw the tree that would result if you deleted the 62 from...
PROBLEM 6: Suppose we insert keys below into an initially empty Vanilla binary search tree in...
PROBLEM 6: Suppose we insert keys below into an initially empty Vanilla binary search tree in the given order: 6, 9, 2, 1, 5, 7, 10, 8, 3, 4 (a) Draw the resulting binary search tree. (b) List the keys according to: A pre-order traversal An in-order traversal A post-order traversal (c) Now we perform some deletions using the “deletion by copying” strategy in which promoted keys are always drawn from a node’s right subtree (so that there is only...
17. Given the array pictured below, draw the binary tree that can be created from its ele- ments. (The elements are arranged in the array to represent a tree as discussed in this section.) [ol [1] 2 3[4 5 [6 7(8] [9 15 10 12 3 47 8 3 20 178
3. (8 points) Using the implementation of binary search tree operations we discussed in class, draw the trees that result from the following operations: (a) Inserting 142, 400, 205, 127, 100, 320, 160, 141, and 110 into an initially-empty tree (in that order). (b) Deleting 142 from the tree you drew for part (a). 4. (8 points) Draw the unique binary tree that has a preorder traversal of 4, 1, 6, 3, 7, 5, 9, 2, 8 and an inorder...
in python
11.1 Binary Search Tree In this assignment, you will implement a Binary Search Tree You will also need to implement a Node class. This class will not be tested, but is needed to implement the BST. Your BST must implement the following methods. You are free to implement additional helper methods. It is recommended you create your own helper methods Constructor: Creates an Empty Tree String Method: Returns the string "Empty Tree" for an empty tree. Otherwise, returns...
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...
answer number 7
5. Draw the binary search tree that would result from inserting the following numbers into an initially empty tree in the order given: 45, 37, 62, 67, 49, 51, 16, 8, 73, 71, 64, 65 6. Given the tree created in problem 5, draw the tree that would result if you deleted the 37 from the tree? 7. Given the tree created in problem 5, draw the tree that would result if you deleted the 62 from...
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