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 / \ 4 <- level 0 6 < level 1 function lowest_common_ancestor (Node p, Node q)

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 / \ 4 <- level 0 6 < level 1 function lowest_common_ancestor (Node p, Node q)

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

See similar textbooks

Similar questions

Please type in Java and provide explanations/comments about what the code is doing and why. Psedeocode provided and can be worked off of.
Please sho step by steps and draw the tree
A good loop invariant would be “The entire tree is a heapexcept that nodei might not be greater or equal to both of its children. As well, thevalue of i’s parent is at least the value of i and of i’s children.” When i is the root,this is the precondition. The algorithm proceeds as in the recursive algorithm.Node i follows one path down the tree to a leaf. When i is a leaf, the whole tree isa heap.Write algorithm Heapify(r )
I am to write a function that receives the root of a binary tree t and a number k and determine if the node where k is stored is the left child of its parent. if k is not in the tree, or does not have a parent, or is a right child the function should return false. Starting code: def is_left_child(t,k): parent, x = t.find(k, return_parent = True) return False
The purpose of this assignment is to practice (JAVA): Implement a binary search tree structure Demonstrate tree traversals Analyze and compare algorithms for efficiency using Big-O notation For this project, you will implement a binary search tree and use it to store a large text file (JAVA). Your program should read text from a file and insert each word in a binary search tree. Do not store duplicate text. Once the tree is populated, print the contents of the tree using an in-order traversal. Next, allow the user to enter words to search for. For each word entered, your program should report the number of elements inspected and whether or not the word was located. Next, allow the user to enter words to remove from the tree. After each removal, print the contents of the tree. Provide an analysis of your remove and search algorithms using Big-O notation. Be sure to provide justification for your claims. (Look at image attached for sample run)
C++ You are given the root node of a binary search tree (BST) and a value to insert into the tree. Return the root node of the BST after the insertion. It is guaranteed that the new value does not exist in the original BST. Example 1: diagram for example 1 attached Input: root = [4,2,7,1,3], val = 5 Output: [4,2,7,1,3,5] Explanation: Another accepted tree is: Example 2: Input: root = [40,20,60,10,30,50,70], val = 25 Output: [40,20,60,10,30,50,70,null,null,25] Example 3: Input: root = [4,2,7,1,3,null,null,null,null,null,null], val = 5 Output: [4,2,7,1,3,5] Constraints: The number of nodes in the tree will be in the range [0, 104]. -108 <= Node.val <= 108 All the values Node.val are unique. -108 <= val <= 108 It's guaranteed that val does not exist in the original BST.
Rewrite the definition of the function searchNode of the class B-tree provided (bTree.h) by using a binary search. Write a C++ code to ask the user to enter a list of positive integers ending with -999, build a b- tree of order 5 using the positive integers, and display the tree contents. Also, ask the user to enter a number to search and display if the number is found in the tree. bTree.h
Write Java code to: find the lowest common ancestor of two nodes n1, n2 in a linked binary tree structure. The lowest common ancestor is the lowest node in the tree thathas both n1 and n2 as descendants.
Design a recursive linear-time algorithm that tests whether a binary tree satisfies the search tree order property at every node. Use c++
Write a simple C++ program to simulate the insertion program.