Lab Goal :? ? Java – Binary Tree. Will leave an upvote. This lab was designed to teach you more about Binary

 Lab Goal : 

Java – Binary Tree. Will leave an upvote.

This lab was designed to teach you more about Binary Trees.  Lab Description : Write a binary search tree class. For the base lab,  you must write the following methods :: preOrder, postOrder, inOrder,  revOrder, getNumLeaves, getNumLevels, getWidth, getHeight, getNum Nodes,  toString, is Full. The following method groups are extra credit. Each  group will net you an extra ten points on your base 100 point lab grade.  You can complete any or all of the options in any order you prefer.  Complete as many of these options as you can. Group 1 :: write a method  to search the tree for a value and return true or false Group 2 :: write  getLargest and getSmallest methods to return the smallest and largest  tree values Group 3 :: write a level order traversal using the Java  LinkedList as a Queue Group 4 :: write a method to remove a node from  the tree – must be recursive Group 5 :: write a method to display the  tree like a tree-level order traversal might be useful Sample Output :  IN ORDER 70 80 85 90 98 100 120 ROOT 90 80 100 70 85 98 120 PRE ORDER 90  80 70 85 100 98 120 POST ORDER 70 85 80 98 120 100 90 height = 2 width =  5 numLevels = 3 numLeaves = 4 numNodes = 7 isFullTree = true REVERSE  ORDER 120 100 98 90 85 80 70 Tree height is 2 Tree width is 5 Number of  leaves is 4 Number of nodes is 7 Number of levels is 3 Tree as a string  70 80 85 90 98 The tree is full. 100 120 © A+ Computer Science –Binary  Trees – www.apluscompsci.com BONUS SECTION The tree contains 100! The  does not contain 114! The smallest tree node 70 The largest tree node  120 Tree before removing any nodes – using level order traversal. 90 80  100 70 85 98 120 Tree after removing 90. 98 80 100 70 85 120 Tree after  removing 70. 98 80 100 85 120 Tree after removing 85. 98 80 100 120 Tree  after removing 98. 100 80 120 Tree after removing 80. 100 120 Tree  after removing 120. 100 Tree after removing 100.