In the n-queen problem the idea that no two queens can attack each other is used to the action called _____. That action would be applied to a tree. expending traversing trimming pruning
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- : You are implementing a binary search tree class from scratch, which, in additionto insert, find, and delete, has a method getRandomNode() which returns a random nodefrom the tree. All nodes should be equally likely to be chosen. Design and implement an algorithmfor getRandomNode, and explain how you would implement the rest of the methods.AXC 6. Define. a treeNode class for .tree nodes that each .conslsts of following 4 fields: parent leftChlld rightChlld | dataJAVA Write a recursive buildBinaryTree method that builds a new binary tree from the contents of an arraythat contains integers. Use the following class definition for a node in a binary tree:class BinaryNode{int element;BinaryNode left;BinaryNode right;}Hint: Take one item from the array and insert it as the root of the tree. Divide theremaining items in half and insert one half in the right subtree and the other half in theleft subtree of the root node by calling the method recursively with the relevant arrayindices.Note: You have to explain your method by means of inline comments or by including apseudo-code version of this method in comments. import test.BinaryNode; // BinaryNode class; stores a node in a tree. // // CONSTRUCTION: with (a) no parameters, or (b) an Object, // or (c) an Object, left child, and right child. // // *******************PUBLIC OPERATIONS********************** // int size( ) --> Return size of subtree at node // int height( ) --> Return height of…
- In JAVA code Write an algorithm for deleting a node of a Binary Search Tree. Take note that the Binary Search Tree property must be satisfied after a node is removed from a Binary Search Tree.PLease help. Java Yatin is playing PUBG and he has reached a place with a large staircase in front of him.And there is an enemy at each landing of the staircase.This is not the actual staircase. He is looking at the staircase from sideways.The staircase is analogous to a binary tree with each of its nodes as a landing of thestaircase and each of its edges as stairs from one landing to another.Yatin wants to kill the maximum possible number of enemies. He can kill every personhe can see from his position with his suppressed sniper gun. But he can see only thepersons at the leftmost standing at each level and cannot see the rest.Before starting shooting them, he wants to know how many persons he can kill. He isbusy keeping an eye on the enemies. So he wants you to find out the maximum numberof people he can kill from that location by providing you with the analogous a binarysearch tree.[ Note: Players do not change their position after one player has died, i.e. the leftmostnode remains…7 4 2 4 2 Tree #1 1 5 Tree #2 6 3 6 8 8 9 5 7 9 1 For parts a through g, implement the given method and demonstrate the method working with the two trees provided earlier. All code implemented in this assignment should be in a class called Homework 6. You may use the data structures and algorithm code from the lecture notes. Hint: Consider using recursion. To do so implement a private helper method that takes a Node and then recursively calls itself to traverse the tree. The public method would call the private method passing the tree's root as the Node.
- Write a recursive buildBinaryTree method that builds a new binary tree from the contents of an array that contains integers. Use the following class definition for a node in a binary tree: class BinaryNode { int element; BinaryNode left; BinaryNode right; } Hint: Take one item from the array and insert it as the root of the tree. Divide the remaining items in half and insert one half in the right subtree and the other half in the left subtree of the root node by calling the method recursively with the relevant array indices.Write a method oddEntries that returns the number of odd integers contained in a binary tree where the element type is int. This method is called with a link to the root node of the tree.Build a Node class. It is should have attributes for the data it stores as well as its left and right children. As a bonus, try including the Comparable module and make nodes compare using their data attribute. Build a Tree class that accepts an array when initialized. The Tree class should have a root attribute that uses the return value of #build_tree which you'll write next. Write a #build_tree method that takes an array of data (e.g. [1, 7, 4, 23, 8, 9, 4, 3, 5, 7, 9, 67, 6345, 324]) and turns it into a balanced binary tree full of Node objects appropriately placed (don't forget to sort and remove duplicates!). The #build_tree method should return the level-1 root node. Write an #insert and #delete method which accepts a value to insert/delete. Compile and submit your source code and screenshots of the application executing the application and the results based in python. Your paper should be 2-3 pages in length (not including title and references pages)} 20. In a binary search tree, the immediate predecessor of a given node is the largest node in its left subtree. For example, the immediate predecessor of node 25 in the following tree is 23 while it is 15 for node 16. Nodes 21 and 39 do not have an immediate predecessor because none of them has a left child. 25 / 1 Write a non-recursive method immediate Predecessor, which takes a BSTNode parameter node (a reference to a node in a binary search tree) and returns a reference to its immediate predecessor in the tree. If node is null or it does not have an immediate predecessor, the method returns null. public class BSTNode 4 { private int m_info; private BSTNode m_left; private BSTNode m_right; public int getInfo() {return m_info; } public void setInfo (int value) {m_info = info; } public BSTNode getLeft () {return m_left; } public void setLeft (BSTNode left) (m_left = left; } public BSTNode getRight () {return m_right;} public void setRight (BSTNode right) {m_right = right;} } public…
- All of the following are true EXCEPT: An empty tree is defined to have a height of 1. The depth of a node p is the number of ancestors of p, other than p itself. The height of a tree to be equal to the maximum of the depths of its nodes (or zero, if the tree is empty). The height of a node p in a tree T: • If p is a leaf, then the height of p is 0. • Otherwise, the height of p is one more than the maximum of the heights of p's children.Q16. * In the following array representation of a Binary tree, the Left child of the node (D) is: 1 2 3 6 7 8 9 10 11 12 13 14 15 A F G H I J K L M N O 0 E F O G H OI 4 B C D 5 EWrite a recursive buildBinaryTree method that builds a new binary tree from the contents of an arraythat contains integers. Use the following class definition for a node in a binary tree:class BinaryNode{int element;BinaryNode left;BinaryNode right;}Hint: Take one item from the array and insert it as the root of the tree. Divide theremaining items in half and insert one half in the right subtree and the other half in theleft subtree of the root node by calling the method recursively with the relevant arrayindices.Note: You have to explain your method by means of inline comments or by including apseudo-code version of this method in comments. Write a method oddEntries that returns the number of odd integers contained in a binarytree where the element type is int. This method is called with a link to the root node ofthe tree.Note: You have to explain your method by means of inline comments or by including apseudo-code version of this method in comments. Write a Java program that:a. Reads…