Given a binary tree, find the lowest common ancestor(LCA) of two given nodes in the tree.According to the definition of LCA on Wikipedia:"The lowest common ancestor is defined between two nodesv and w as the lowest node in T that has both v and w asdescendants(where we allow a node to be a descendant of itself)."/61210187 4For example, the lowest common ancestor (LCA) of nodes 5 and 1 is 3.Another example is LCA of nodes 5 and 4 is 5,since a node can be a descendant of itself according to the LCA definition.

ALGO:Here are the algorithms for the Lowest Common Ancestor (LCA) problem in a binary…

ding to the definition of LCA on Wikipedia: The lowest common ancestor is defined between two nodes and w as the lowest node in T that has both v and w as escendants where we allow a node to be a descendant of itself)." 1 _2 74 0 8

ding to the definition of LCA on Wikipedia: The lowest common ancestor is defined between two nodes and w as the lowest node in T that has both v and w as escendants where we allow a node to be a descendant of itself)." 1 _2 74 0 8

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Design a data structure for a set in which insertions, deletions, and membership queries can be…

A: An array of dimension n+1, where the i-th element of the array indicates whether the integer i is in…

Q: Use C++ implement the find/union partition structure as a tree-based approach. add a driver to test…

A: My approach to this question will be by linked list as it creates a tree which is unbalanced.…

Q: Within one paragraph or less please explain the following Consider the specific operation of adding…

A: The very first insertion creates the tree. Afterwards, whenever an element is to be inserted, first…

Q: Given the following labeled data structure: A В D E F H J K M Assume that values are inserted into…

A: In binary search tree, the node left to root node has value less than the root node value and node…

Q: E) What are the ancestors of G? F) What are the descendants of G? G) What are the nodes on level 3?…

A: E) Ancestor means parents of G The ancestor of G is D F) Descendants means children The…

Q: Question 9: Ifa priority queue implementation determines the order of elements using pairwise…

A: Pick out the correct answers from the following

Q: Question 2 в F H Consider the given non-height-balanced general tree. You will need to create a…

A: Answer: I have given answered in the handwritten format in brief explanation.

Q: In relation to the issue of modelling of systems for computer analysis. WNhich of the first 4…

A: The answer is given below.

Q: Which of the following statements are correct for a max-heap? a) The root always contains the…

Q: 4. Write pseudo code or python code ( pseudo code or python code in python only) to carry out…

A: BFS pseudocode The pseudocode for BFS in python goes as below: create a queue Q mark v as visited…

Q: 5. What is the difference between in-order, pre-order and post-order traversals? Show with an…

A: The first question will be answered only Tree traversal in the data structure Tree traversal means…

Q: B+ Tree is primarily utilized for implementing dynamic indexing on multiple levels. Compared to B-…

A: Introduction : Given , An initially empty B+ tree.we have to insert elements 10, 3, 6, 8, 4, 2, 1…

Q: Interpret the phylogenetic tree. Mose Pre Cedor ris Maapola Rose Cacao Drag "True" or "False" to the…

A: 1) True, it can be seen at branching. 2) True, the ancestor represented by dot will have all five…

Q: 332 File structures and Database Show the B+-tree of order three (namely each node has a maximum of…

A: In the B++ tree data pointer stored at the leaf node at the tree and B++ tree are the self…

Q: B+ trees in DBMS plays an important role in supporting equality and range search. Construct a B+…

A: Insertion steps: Insert elements in leaf node in increasing order. If overflow occurs then split…

Q: 1a) Briefly discuss the significant difference between a priority queue and an ordinary queue. Using…

Q: Another friend implemented a queue as a linked list with only a head pointer (no tail node). She…

A: Solution:- No, she is not correct.

Q: For each B+-tree of Exercise 14.3, show the steps involved in the following queries: a. Find…

A: The question involves analyzing B+-trees for different number of pointers per node and performing…

Q: Q6) Let A = Z, the set of all positive integers, and we define the relation R on A as: a Rb if and…

Q: Develop a symbol-table implementation ArrayST that uses an (unordered) array as the underlying data…

A: We have to Develop a symbol-table implementation ArrayST that uses an (unordered) arrayas the…

Q: Please answer all the following questions in a Microsoft Word file named: “Name Surname – Assignment…

A: DFS : Depth-First Search (DFS) is an algorithm used for traversing or searching tree or graph data…

Q: Write pseudocode for Lowest common ancestor in a BST?

A: Binary search tree property can be used for finding nodes lowest ancestor:

Q: Construct parsing table by deriving FIRST and FOLLOW set of the given CFG P → bSe S →…

A: Solution) From the question- P → bSe S → AR R → AR│є A → id = E…

Q: Describe how the pointer data type can be used to implement a method for one of the data structures…

A: Let us take an example of pointers in pop() operation(i.e. removing a element) in a stack In the…

Q: Q# 1, Why did our implementation of a linked list use an empty node instead of null? Group of answer…

A: Linked list is a linear data structure. It have collection of objects. They are stored inside nodes.…

Q: e) Suppose at some point, the B+ tree index on name attribute is shown as follows. The number of…

A: here we have given the solution in a step by step procedure.

Q: subject: data structure and algorithms i. A Tree is a ___________ Data Structure. ii. All the nodes…

A: Note: Since the given Question is multipart.We are advised to do only three subparts.Kindly post…

Q: Question 11 Proper ancestor of a node v is defined as: Any node, on the path from the root to the…

A: Proper ancestor of a node v is defined as:any node,------,on the path from the root to the node

Q: Consider the initial B+ tree index shown below. The number of pointers in a node is 3. Draw the B+…

A: The answer is as below:

Q: When iterating over a hierarchical data structure, such as a tree, Group of answer choices 1.…

A: In binary search tree, every node contains at most two children. Traversing means, visiting all the…

Q: Write your answer based on the tree given on the left side. (11) 2 7 5 6 3 1 Write a function for…

A: Tree Traversal: Algorithm of In-order: First, traverse left subtree which means calling the…

Q: def transitiveclosure(g): """computes the transitive closure of a graph/relation encoded as as a…

A: According to the question below the solution: Output:

Q: You are going to simulate the operation of an AVL tree on paper. For the purposes of this…

A: In conclusion, the directions provided were followed in simulating the AVL tree processes. The…

Q: Question sum Explain clearly the role of B-Trees in implementing inverted index. Focus on the…

A: A B-tree is a data structure commonly used for implementing inverted indexes used to match terms…

Q: Java [1] Performing a check of constraints on node values for each sub-tree, just the way we…

A: Introduction : Here we have to check of whether a Binary Tree is actually a Binary Search Tree ( BST…

Q: In computer science, how is duality leveraged when studying data structures like trees and their…

A: In computer science, duality refers to the concept where two seemingly different entities can be…

Q: Q#A hierarchical tree structure has a self-similar structure. What does this mean? Group of answer…

A: A tree structure is a method of depicting a hierarchy. A tree is an example of this hierarchy. Each…

Q: A B* tree index is to be built on the Name attribute of the relation STUDENT. Assume that all…

A: Introduction:Given,Student name length = 8 BytesDisk Block Size = 512 BytesIndex pointer Size = 4…

Q: Picture a collection of non-repeating of integers. Depending on the order in which these values are…

A: Computer science and data analysis employ maxheaps to efficiently store the maximum elements in a…

Q: 2. a) Suppose the tree in Figure below is an unordered tree, i.e., the order in which the children…

A: BFS traversal in tree goes level by level , i.e. first root node is printed then after that below…

Question

Given a binary tree, find the lowest common ancestor
(LCA) of two given nodes in the tree.
According to the definition of LCA on Wikipedia:
"The lowest common ancestor is defined between two nodes
v and w as the lowest node in T that has both v and w as
descendants
(where we allow a node to be a descendant of itself)."
/
6
1
2
1
0
1
8
7 4
For example, the lowest common ancestor (LCA) of nodes 5 and 1 is 3.
Another example is LCA of nodes 5 and 4 is 5,
since a node can be a descendant of itself according to the LCA definition.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: CODE

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Use any coding language Please program a virtual file system with three separate A,B,C drives. Each with its own tree structure with directories and files. Each file needs its own i-node with a filename extension and line of data. Make the three file systems appear as one big system with a VFS. Should be able to add file, delete a file, and print a file.
Question 1 Which of the following principle does Queue use? (A Ordered array (B LIFO principle c) Linear tree D FIFO principle
Exercise 3.15.Design and implement aMinQueuedata structure that can store comparable elements and supports the queue operationsadd(x),remove(), andsize(), as well as themin() operation, which returns the minimum value currently stored in the data structure. All operations should run in constant amortized time
B+ trees in DBMS plays an important role in supporting equality and range search. Construct a B+ tree. Suppose each node can hold up to 4 pointers and 3 keys. Insert the following 10 keys (in order from left to right): 1, 3, 5, 7, 9, 2, 4, 6, 8, 10 After the insertions, which of the following key pairs resides in the same leaf node? Refer to the previous question. How many pointers (parent-to-child and sibling-to-sibling) do you chase to find all keys between 4 and 7?
Create an alpha-beta trimming algorithm using minimax and the following rules:I Remove any min node whose beta value is less than or equal to the alpha value of any of its max predecessors.(ii) Remove any max node whose alpha value is bigger than or equal to the beta value of any of its min ancestors.
2.Consider a polynomial that can be represented as a node which will be of fixed size having 3 fields which represent the coefficient and exponent of a term plus a pointer to the next term or to 0 if it’s the last term in the polynomial. Then A = 11x4 -2x is represented by fig below A 11 4 -2 1 0 Represent the following polynomials in linked list form P = G – 3L +2F
Construct a B+-tree for the given set of key values: 112, 14, 16, 18, 20, 22, 26, 28, 30, 32) Assume that the tree is initially empty and values are added in ascending order. a. Construct B+ tree for the cases where the number of pointers that will fit in one node is 4. b. Insert the value 21 into the tree.
Discuss the concept of persistence in binary trees. How can you create and work with persistent binary trees, and what are their real-world applications?
4. Write a recursive algorithm in pseudocode that finds the lowest common ancestor (LCA) of two given nodes in a binary tree T. The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself). If either p or q is null, the LCA is null. For this problem, Nodes have left, right, and parent references as well as a field called level which stores the level of the node in the tree. In the sample tree below, node 5 is on level 0, while nodes 4 and 6 are on level 1. Write your solution here. 5 <- level 0 4 6 < level 1 function lowest_common_ancestor (Node P, Node q)
This question is based on logic programming [PROLOG] USE SWI PROLOG use comments to describe what the code does. Implement the following prolog predicates for non-self balancing 2-3 trees add(X, T1, T2) is true if adding X to the 2-3 Tree T1 generates the 2-3 Tree T2. member(X, T) is true if X is in the 2-3 Tree T. height(T, N) is true if the height of T is N. prettyPrint(T) is always true and displays the 2-3 Tree T.
(a) In terms of priorities, describe the elements at the bottom level of the tree. (b) In terms of priorities, describe the elements one above the bottom level of the tree. (c) Describe the tree levels where most of the top priority elements are stored.
Given the following list of integers: 12,15,20,25 (a) Apply the BUILDHEAP procedure to this list, in a right-to-left scan. Draw appropriate trees each time the addition of a new element causes changes in the tree structure. (b) Now, sort the list obtained in part(a) in a series of exchange and heapify steps. Once again, draw appropriate trees to illustrate each exchange-heapify step.