Step 1: Insert keys 6 & 1
Rotate to the Root
Step 2: Insert key 18
Rotate to the Root
Step 3: Insert key 7
Rotate to the Root
Step 4: Insert key 15
Rotate to the Root
Which is Required Binary Search Tree
Red-black binary search tree
Step 1: Insert keys 12 & 5
Step 2: Insert key 23
Step 3: Insert key 9
Node and parent are both red Uncle of node is red push blackness down from grandparent
Root of the tree is Red.Color it black
Step 4: Insert key 19
Step 5: Insert key 2
Step 6: Insert key 21
Node and parent are both red Node is right child, parent is left child so perform Single Rotate left
Node and parent are both red Node is left child, parent is left child can fix Extra redness by perform Single Rotate Right
Step 7: Insert key 18
Node and parent are both red Uncle of node is red push blackness down from grandparent
Step 8: Insert key 7
Node and parent are both red Uncle of node is red push blackness down from grandparent
Which is Required Red-black binary search tree
Starting with an empty binary search tree, insert each of the following keys and rotate it...
PROBLEM 6: Suppose we insert keys below into an initially empty 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 one correct...
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...
Suppose you started with an empty binary search tree. We've seen previously that inserting the keys 1, 2, 3, 4, 5, 6, 7 (in that order) would lead to a binary search tree whose shape we called degenerate. Propose a second ordering of the same keys that would also lead to a degenerate-shaped binary search tree. If possible, propose a third ordering of the same keys that would also lead to a degenerate-shaped binary search tree. If there are no...
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...
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...
Create a binary search tree with keys inserted in this order: 34, 45, 17, 39, 20, 65, 11, 8, 63, 38, 36, 29. and show the binary search tree that results when you delete the key 17
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...
Database Management System 5. Starting with an empty B+ tree with up to two keys per node; show how the tree grows when the following keys are inserted one after another: 18, 10, 7, 14, 8, 9, 21
Draw the perfect skip list that results when you insert items with the keys 19, 6, 26, 9, 2, 12, 25, 7, 21 and 17 in that order into an initially empty perfect skip list. Draw the randomized skip list that results when you insert items with the keys 19, 6, 26, 9, 2, 12, 25, 7, 21 and 17 in that order into an initially empty randomized skip list. Compare the binary search tree with the perfect skip list...
Show that if B-Search-Tree is implemented using binary search among the keys in each node, instead of linear search, the total runtime would be , regardless of the choice of (or minimum degree) as a function of .