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
Database Management System 5. Starting with an empty B+ tree with up to two keys per...
Starting with an empty binary search tree, insert each of the following keys and rotate it to the root in the specified order: 6 1 18 7 15 Starting with an empty red-black binary search tree, insert the following keys in order:: 12 5 23 9 19 2 21 18 7 Show the tree immediately after you insert each key, and after each time you deal with one of the book's cases 1, 2, or 3 (that is, if dealing with one case leads to another, show the additional case as a...
1. Suppose we start with an empty B-tree and keys arrive in the following order. – 1, 12, 8, 2, 25, 6, 14, 28, 17, 7, 52, 16, 48, 68, 3, 26, 29, 53, 55, 45 – Build a B-tree of order 5 – Hints • 17: insert/split/promote • 68: insert/split/promote • 3: insert/split/promote • 45:insert/split/promote 2. Suppose we insert the keys {1,2,3, …, n} into an empty B-tree with degree 5, how many nodes does the final B-tree have?
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...
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...
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,...
[74, 92, 75, 46, 60, 3, 90, 78, 7]The task here is to show a trace of the operations needed to insert objects with your (list of) keys, one by one, into an initially empty AVL tree with restoration of AVL balance (if necessary) after each insertion.Your submission should have the section heading 'AVL trace' followed by the coded trace of operations: Ixx to insert key xx at the root of the previously empty AVL tree; IxxLyy to insert key...
[Index structure: B+ tree and B tree] (b). B+ tree index structure is said to be an improvement of B tree index structure. The most important distinction between them is that data record pointers exist in both internal and leaf nodes (i.e., blocks) for a B tree whereas only in the leaf nodes for a B+ tree. Explain why this distinction would make B+ tree a more efficient structure (in terms of index search speed) overall than a B tree...
7. Suppose the same set of 31 values are inserted into two separate initially empty Binary Search Trees (BSTS). What is the maximum possible difference in height between the two trees? Answer 8. Which of the following is the most correct and relevant reason radix sort is not used for all sorting applications even though it can have a faster running time than comparison-based sorts? O Not all sorting applications Involve numerical data Not all sorting applications have bounded key...
Red black trees Perform insertions of the following keys, 4, 7, 12, 15, 3, 5, 14, 18, 16, 17 (left to right) into a redblack tree, then, perform deletions of keys 3, 12, 17, under the properties as provided below. • Root propoerty: the root is black. • External propoerty: every leaf is black. • Internal propoerty: the children of a red node are black. • Depth propoerty: all the leaves have the same black depth. Note that insertions have...