IN JAVA- Please try to answer all questions, thank you!

Modify the author's BinarySearchTree code to implement the methods shown below Each method is 10 points. a) nodeCount Recursively traverses the tree and returns the count of nodes. b) isFull Returns true if the tree is ful1. A full tree has every node as either a leaf or a parent with two children c) compareStructure Compares the structure of current tree to another tree and returns true if they match. For example, these two trees have the same structure: 10 5 15 2 7 d) equals Compares the current tree to another tree and returns true if they are identical e) copy Creates and returns a new tree that is a copy of the original tree. f) mirror Creates and returns a new tree that is a mirror image of the original tree. For example, for the tree on the left, the tree on the right is returned: 100 100 50 150--> 150 50 40 40 45 45 g) isMirror Returns true if the tree is a mirror of the passed tree. h) rotateRight Performs a single rotation on the node having the passed value. If a RotateRight on 100 is performed: 100 50 50 150--> 40 100 40 45 150 45 g) rotateLeft As above but left rotation i) printLevels - performs a level-by-level printing of the tree. j) main - demonstrate in your main method that all of your new methods work