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Java Needed! Problem 1 (5 points): Add a removeMin() method to the SimpleBinarySearchTree class that finds the minimum element, and then removes and returns it.

Java Needed!

Problem 1 (5 points): Add a removeMin() method to the SimpleBinarySearchTree class that finds the minimum element, and then removes and returns it. Therefore, this method should return an element of generic type E. (HINT: All you need to do is find the smallest element in the tree, then call the replaceNode() method on it, and return the element.

Problem 2 (5 points): Add a removeMax() method to the SimpleBinarySearchTree class that finds the maximum element, and then removes and returns it. Therefore, this method should return an element of generic type E. (HINT: All you need to do is find the largest element in the tree, then call the replaceNode() method on it, and return the element.

Problem 3 (5 points): Create a class called Passenger that contains 3 attributes: firstName, lastName, and frequentFlyerMiles. First name and last name are both Strings. Frequent flyer miles can be an Integer (big I integer, not an int). This class should implement the Comparable interface. In the compareTo() method, just return the result of calling the compareTo() method on the frequent flyer miles attribute. Also override the toString() method to return a String that contains the first name and last name of the Passenger, along with the number of frequent flyer miles they have (e.g., Fred Jones 23789).

Problem 4 (5 points). Create a class called BoardingManager that will be used to test your SimpleBinarySearchTree class. In this class, just create 5 Passengers (just make up some names and how many frequent flyer miles each has) and add them to a SimpleBinarySearchTree. Then, one by one, print out the Passenger with the most frequent flyer miles using the removeMax() method you created.

Optional BONUS Problem (5 points). Create a Person class with first name, last name, and phone number (all Strings). This class should implement the Comparable interface and use the last name attribute as the comparator (i.e., just have the compareTo() method call the compareTo() method on the last name String). You should also override the toString() method to return the first name, last name, and phone number of the person. Create a PhoneDirectory class that includes a SimpleBinarySearchTree that will be used to hold Person objects. Create an addPerson() method that takes in a Person as a parameter and adds it to the tree. Create a lookupPhoneNumber() method that takes in a last name as a parameter and looks for the Person on the tree with that last name. If it finds the Person on the tree, it returns a String representation of the Person. Otherwise, it returns a That person was not found in the directory message. Finally, create a DirectoryTester class that creates 5 Person objects and adds them to a PhoneDirectory. Your test code should then attempt to lookup several Persons by last name and print them out. Make sure your test code includes at least one person that is in the director and one person that is not

*******SimpleBinarySearchTree.java**********

public class SimpleBinarySearchTree implements SimpleBinarySearchTreeInterface{ /****************** CLASS VARIABLES ***************************************/ private SimpleTreeNode rootNode = null; /****************** GETTERS AND SETTERS ************************************/ public SimpleTreeNode getRootNode(){ return rootNode; } public void setRootNode(SimpleTreeNode root){ this.rootNode = root; } /***************** CONSTRUCTORS *********************************************/ public SimpleBinarySearchTree(){ } /***************** METHODS *************************************************/

public E removeElement(E targetElement){ E resultElement = null; SimpleTreeNode resultingNode = null; if(getRootNode() != null){ resultingNode = findNode(getRootNode(), targetElement); } if(resultingNode != null){ resultElement = resultingNode.getValue(); replaceNode(resultingNode);//replace the node with its successor } return resultElement; } /** * Finds the node in the tree that contains the target element value passed in (if it exists). * It starts with the node passsed in and checks to see if that node's value is equal to the target element * passed in. If it is, it sets the reult as the node that was passed in. If it isn't, then it compare's the * target element to the node's value. If it is less, it checks to see if the node has a left child. If it doesn't * it sets the result to null. If it does, then it call this same method recursively, passing in the * node's left child node and the target element. If it is greater, it checks to see if the node has a right child. * If it doesn't, it sets the result to null. If it does, then then it calls this same method recursively, passing in the * node's right child node and the target element. The very last statement in this method should return the reult (which * could be null). * @param node * @param targetLement * @return */ private SimpleTreeNode findNode(SimpleTreeNode node, E targetElement) { Comparable comparableElement = (Comparable)targetElement; SimpleTreeNoderesult=null; if(comparableElement.compareTo(node.getValue())==0) { result=node; } else if(comparableElement.compareTo(node.getValue())<0) { //go to left child if(node.getLeftChildTreeNode()==null) { result=null; } else { result=findNode(node.getLeftChildTreeNode(),targetElement); } } else //element is >node therefore go to right { if(node.getRightChildTreeNode()==null) { result=null; } else { result=findNode(node.getRightChildTreeNode(),targetElement); } } return result; } /** * Calls one of three other methods based on whether the node passed in has 0, 1 or 2 child nodes. * @param node */ private void replaceNode(SimpleTreeNode node){ if (getChildCount(node) == 0){ //Case 1: Node has no children. replaceNodeWithNoChildren(node); }else if (getChildCount(node) == 1){ //Case 2: Node has exactly one child. replaceNodeWithOneChild(node); }else{ //Case 3: Node has exactly two children. replaceNodeWithTwoChildren(node); } } /** * Replaces a node that has two children with its successor node. This requires the following steps: * 1) Find the successor parent's node. This will be found by following the right child's left children to the bottom. * 2) If the successor's parent is the node itself, set the successor's left child to be the node's left child * and skip to step 6. * 3) Set the successor's parent's left child to be the successor's right child. * 4) Set the successor's right child to be the node's right child. * 5) Set the successor's left child to be the node's left child. * 6) Set the node parent's right node to be the successor node. * @param node * @param parent */ private void replaceNodeWithTwoChildren(SimpleTreeNode node){ //Step 1: Find the successor's parent SimpleTreeNode successor = findSuccessor(node); //Step 2: See if successor's parent is the node being replaced and, if so, set the left // child of the successor to be the left child of the node if(successor.getParentTreeNode() == node){ successor.setLeftChildTreeNode(node.getLeftChildTreeNode());

}else{//Do steps 3 - 5 //Step 3: Set the successor's parent's left child to be the successor's right child.

successor.getParentTreeNode().setLeftChildTreeNode(successor.getRightChildTreeNode());; //Step 4: Set the successor's right child to be the node's right child and set the node's right child to null.

successor.setRightChildTreeNode(node.getRightChildTreeNode()); node.setRightChildTreeNode(null); //Step 5: Set the successor's left child to be the node's left child and set the node's left child to be null;

successor.setLeftChildTreeNode(node.getLeftChildTreeNode()); node.setLeftChildTreeNode(null); } //Step 6: If the node being replaced is the root node, just set the successor as the new root. // Otherwise, set the successor as the parent's child (making it the same child as the // node that was replaced.

if(node==getRootNode()) { setRootNode(successor); } else { if(node==node.getParentTreeNode().getLeftChildTreeNode()) { node.getParentTreeNode().setLeftChildTreeNode(successor); } else { node.getParentTreeNode().setRightChildTreeNode(successor); } } //Step 7: Set the parent of the successor node to the node's parent[ALREADY DONE]

} /** * Finds the successor of the node passed in. To find the successor, we start with the right child * of the node and then traverse the left children until we reach the bottom of the tree (i.e., where the left * child is then null. This will then be the successor node. * @param node * @return */ private SimpleTreeNode findSuccessor(SimpleTreeNode node) { SimpleTreeNoderesult=null; if(node.getRightChildTreeNode()!=null) { result=node.getRightChildTreeNode(); while(result.getLeftChildTreeNode()!=null) { result=result.getLeftChildTreeNode(); } } return result; } /** * Returns the number of children belonging to the node passed in. The result should be * 0, 1, or 2. Obviously, only non-null children should be included in the countt! * @param node * @return */ private int getChildCount(SimpleTreeNode node){ int result=0; if(node.getLeftChildTreeNode()!=null) { result++; } if(node.getRightChildTreeNode()!=null) { result++; } return result; } /** * Replaces a node that has no children. If the node is the root, then we just * set the root to be null. Otherwise, we determine if the node passed in is the * parent node's left child or right child and set that child to be null (effectively * deleting that child). * @param node * @param parent */ private void replaceNodeWithNoChildren(SimpleTreeNode node) { if(node==getRootNode()) { setRootNode(null); } else if(node==node.getParentTreeNode().getLeftChildTreeNode()) { node.getParentTreeNode().setLeftChildTreeNode(null); } else if(node==node.getParentTreeNode().getRightChildTreeNode()) { node.getParentTreeNode().setRightChildTreeNode(null); } } /** * Replaces a node that has exactly one child. This simply replaces the node with * its child and sets the replacement node's parent to the parent of the node that * was replaced. * @param node */ private void replaceNodeWithOneChild(SimpleTreeNode node){ SimpleTreeNodesuccessorNode=null; SimpleTreeNodeparentNode=node.getParentTreeNode(); if(node.getLeftChildTreeNode()!=null) { successorNode=node.getLeftChildTreeNode(); } else { successorNode=node.getRightChildTreeNode(); } if(parentNode==null) { setRootNode(successorNode); } else if(node==parentNode.getLeftChildTreeNode()) { parentNode.setLeftChildTreeNode(successorNode); } else{ parentNode.setRightChildTreeNode(successorNode); }

}

public void addElement(E element){ //If the tree is empty, create a root node from the element if (getRootNode() == null){ SimpleTreeNode node = new SimpleTreeNode<>(element); setRootNode(node); }else{ addElement(element, getRootNode()); } } /** * Adds an element to the tree, starting at the tree node passed in. This method * is called recursively until the proper locationfor the node is found. * @param element * @param node */ private void addElement(E element, SimpleTreeNode node){ Comparable comparableElement = (Comparable)element; SimpleTreeNode newNode = new SimpleTreeNode(element); if(comparableElement.compareTo(node.getValue()) < 0){ //The element is less than the node...so go to the left //If there is no left child of the current node, make this element the left child if(node.getLeftChildTreeNode() == null){ node.setLeftChildTreeNode(newNode); }else{ //there is already a left child...so add this element to it addElement(element, node.getLeftChildTreeNode()); } }else{ //This element is >= to the node, so go to the right //If there is no right child, make this element the right child if (node.getRightChildTreeNode() == null){ node.setRightChildTreeNode(newNode); }else{ //there is already a right child, so add this element to it addElement(element, node.getRightChildTreeNode()); } } }

@Override public E searchElement(E element) { //If the tree is empty, return a null result E result = null; if (getRootNode() == null){ result = null; }else { result = searchElement(element, getRootNode()); } return result; } private E searchElement(E element, SimpleTreeNode node){ Comparable comparableElement = (Comparable)element; E result = null; if (comparableElement.compareTo(node.getValue()) == 0){ result = node.getValue(); }else if(comparableElement.compareTo(node.getValue())< 0){ //The element is less than the node...so go to the left //If there is no left child of the current node, set result to null if(node.getLeftChildTreeNode() == null){ result = null; }else{ //there is a left child...so continue search there result = searchElement(element, node.getLeftChildTreeNode()); } }else{ //This element is > the node, so go to the right //If there is no right child, set result to null if (node.getRightChildTreeNode() == null){ result = null; }else{ //there is already a right child, so continue search there result = searchElement(element, node.getRightChildTreeNode()); } } return result; }

}

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