4. Suppose a B+ tree with 4 levels having exactly 7 keys in each node. There is a record for each key 1, 2, . . . , k ? 1, k where k is the number of data records. How many nodes should be examined to find records with keys in the range [82, 113]?
4. Suppose a B+ tree with 4 levels having exactly 7 keys in each node. There...
Suppose a BST is constructed by repeatedly inserting distinct keys into the tree. If the number of nodes examined when searching for a key is K, what will be the number of nodes examined when inserting that key.
Suppose a bst is constructed by repeatedly inserting distinct keys into the tree. Argue that the number of nodes examined when searching for a key is equal to one more than the number examined when inserting that key. Prove or disprove: deleting keys a and y from a bst is commutative. In other words, it does not matter which order the keys are deleted. The final trees will be identical. If true, provide a proof. If false, provide a counterexample....
. [25 pts.] Tree node with largest value children. Consider a complete ternary tree where each node apart from the leaves has exactly 3 children and is associated with a numeric key k. a [15 pts.] Write the pseudo-code of a procedure that returns the node whose children have the largest sum of keys, i.e. the score of a node is the sum of its children key values. Note that leaves would not be considered as they do not have...
Condiner B-trees that have maximum of 9 keys and five children for each node. a. what the possible numbers of level for a btree with 19 nodes b. draw a tree for the 19 keys (1through 19) in three levels with left subtree being the smalled. c. Draw the stages of the deletion of key 3
Sc Python 1 Task 2 3 Consider a binary tree of N vertices 4 such that children of node K are 2* K + 1. Vertex 1 is the root Kand 2 of the tree and each node has an integer value associated with it. Such a tree may be represented as an array of N integers by writing down values from consecutive nodes For example, the tree below 8 Test might be represented as an array o A node...
5. Draw the structure of B+ tree index with 3 levels from root to leaves when Index Blocking factor is 3, and the maximum fill factor is 100%. That is, the max number of Keys per Node = 3. Show the structure of each node in the B+ tree with the keys and (block) pointers as specific as possible where 3 keys in the root node are denoted as K-1, Ki, Ki+1.
Consider the B+ tree index shown in Figure 1. Each intermediate node can hold up to five pointers and four key values. Each leaf can hold up to four records, and leaf nodes are doubly linked as usual, although these links are not shown in the figure. Answer the following questions. Show every step of the insertion and explain the process. 34.21-4 ostas 704 94 986 99-100-105 944954964974 LS Figure 1. (1). Insert a record with search key 109 into...
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...
Question 3. (25 points) Consider the B+ tree index shown below. Each intermediate node can hold up to five pointers and four key values. Each leaf can hold up to four records, and leaf nodes are doubly linked as usual, although these links are not shown in the figure. If you can borrow from or merge with both siblings, choose the right sibling. Answer the following questions 3080 I1 35425065 9098 12 68 69 70 79 98 99 1001105 30...
package hw3; import java.util.LinkedList; /* *********************************************************************** * A simple BST with int keys and no values * * Complete each function below. * Write each function as a separate recursive definition (do not use more than one helper per function). * Depth of root==0. * Height of leaf==0. * Size of empty tree==0. * Height of empty tree=-1. * * TODO: complete the functions in this file. * DO NOT change the Node class. * DO NOT change the name...