Java programming questionNeed help with question: C 8.55 C-8.55 Let T be a tree with n positions. Define the lowest common ancestor (LCA)between two positions p and q as the lowest position in T that has both P and qas descendants (where we allow a position to be a descendant of itself). Giventwo positions p and q, describe an efficient algorithm for finding the LCA of pand q. What is the running time of your algorithm?

The answer has been given step 2

5 Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both p and 9 as descendants (where we allow a position to be a descendant of itself). Given two positions p and q, describe an efficient algorithm for finding the LCA of p and q. What is the running time of your algorithm?

5 Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both p and 9 as descendants (where we allow a position to be a descendant of itself). Given two positions p and q, describe an efficient algorithm for finding the LCA of p and q. What is the running time of your algorithm?

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

Similar questions

Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follow: //PICTURE// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Also Count the height of the tree. PLEASE USE C LANGUAGE
a. Build a Binary Search Tree from the list A = <cow, 1924, milk, orange, California, rosy, pencil, 1975> using alphabetical order assuming digits are less than letters; b. Give a high level description of an algorithm (not pseudo code) to build a minimum height BST from a sorted array. What is the time complexity of your algorithm? c. Design an algorithm (pseudo code) to find the lowest common ancestor of two given nodes (the root of the smallest subtree above the given nodes) in a BST. What is the time complexity of your algorithm?
Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follow: //PICTURE// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree.
3. The following is a recursive algorithm for a preorder binary tree traversal. Determine the worst-case runtime of this algorithm where the proper binary tree t has n internal nodes (non null nodes). Do this by specify the recurrence equation for the runtime T(n) and then deriving the closed form. Count the comparison v != null as 1 primary operation and the call processNode(t,v) as c primary operations, where c is some constant. Algorithm preorder(Tree t, TreeNode v) Input: Binary tree t of size n and node v of t Output: None if v!= null then end end processNode(t.v) preorder(t,v.getLeft()) preorder(t,v.getRight())
Your second function is called “isTree". Its input is a graph G, which is a dictionary whose keys are the vertices, and whose values are lists of vertices that are adjacent to the given vertex. Its output is True if G is a tree and False if G is not a tree. Hint: You may want to make use of your "connected" function from the last coding assignment.
If n1, n, ., nk is a sequence of nodes in the tree such that n; is the parent of n41 for 1
the parent of tree[k] is tree[bk/2c], and its childrenare tree[2k] and tree[2k +1]. Note that this implies that the position of a nodeis even if it is a left child and odd if it is a right child.The function calculates the value of sumq(a,b): write code to implement it,
Given two binary trees with head reference as T and S having at most N nodes. The task is to check if S is present as subtree in T.A subtree of a tree T1 is a tree T2 consisting of a node in T1 and all of its descendants in T1 You don't need to read input or print anything. Your task is to complete the function isSubtree() that takes root node of S and T as parameters and returns 1 if S is a subtree of T else 0. Expected Time Complexity: O(N).Expected Auxiliary Space: O(N). Constraints:1 <= Number of nodes <= 1051 <= Value of nodes <= 104
Given a pre-order traversal of a binary search tree(BST) and a range,say [x,y], write a program that constructs a binary tree with the giventraversal and then removes all the nodes for which the values are inthe given range maintaining the BST nature of the tree with necessarychanges/modifications. You may assume that the ‘pre-order’ traversalgiven initially as input is a valid one and need not verify that.Input: The input should be a ‘pre-order’ traversal of a binary search treeand two values which are the non-negative bounds of the range.Output: The output should be a the ‘pre-order’ traversal of the modifiedbinary tree with no nodes in that range. Write using C programming.
write a java/c++ code or an algorithm to solve the following problem. After that dry run and show output of algorithm using an example binary tree. Without dry run no marks will be awarded. Write a recursive function/algorithm that finds the minimum value node from a Binary tree. (Caution: This is a simple binary tree not binary search tree i.e; tree is not in any order. So minimum node may be anywhere in tree.)
Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree，return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space，set the pointer as NULL Else// if the input is not a space，generate the binary node and create its left…
Develop a pseudo-code algorithm for a level-order traversal of a binary tree. Create an array-based implementation (write a program) of a binary tree using the computational strategy. Include the following methods: a. Remove a node from the binary tree. b. Insert a node into the binary tree. c. Remove the minimum (smallest) element from the tree