Step 1: Inspect the Node.java file Inspect the class declaration for a doubly-linked list node in Node.java. Access Node.java by clicking on the orange arrow next to LabProgram.java at the top of the coding window. The Node class has three fields: - a double data value, - a reference to the next node, and - a reference to the previous node. Each field is protected. So code outside of the class must use the provided getter and setter methods to get or set a field. Node.java is read only, since no changes are required. Step 2: Implement the insert() method A class for a sorted, doubly-linked list is declared in SortedNumberList.java. Implement the SortedNumberList class's insert) method. The method must create a new node with the parameter value, then insert the node into the proper sorted position in the linked list. Ex: Suppose a SortedNumberList's current list is 2347.2586, then insert(33.5) is called. A new node with data value 33.5 is created and inserted between 23 and 47.25, thus preserving the list's sorted order and yielding: 2335.547.2586 Step 3: Test in develop mode Code in main) takes a space-separated list of numbers and inserts each into a SortedNumberList. The list is displayed after each insertion. Ex: If input is 77154263.5 then output is: List after inserting 77 : 77 List after inserting 15 : 1577 List after inserting 42 : 421577 List after inserting 63.5 : 421563.577 Try various program inputs, ensuring that each outputs a sorted list. Step 4: Implement the remove() method Implement the SortedNumberList class's remove0 method. The method takes a parameter for the number to be removed from the list. If the number does not exist in the list, the list is not changed and false is returned. Otherwise, the first instance of the number is removed from the list and true is returned. Uncomment the commented-out part in main0 that reads a second input line and removes numbers from the list. Test in develop mode to ensure that insertion and removal both work properly, then submit code for grading. Ex: If input is 841972841961 then output is: Current file: LabProgram.java Load default template... is marked as read only Current file: Node.java public class Node \{ protected double data; protected Node next; protected Node previous; I/ Constructs this node with the specified numerical data value. References to the next I/ and previous nodes are assigned null. public Node(double initialData) \{ data = initialData; next = null; previous = null; \} I/ Constructs this node with the specified numerical data value, references to the next II and previous nodes. public Node(double initialData, Node nextNode, Node previousNode) \{ data = initialData; next = nextNode; previous = previousNode; \} I/ Returns this node's data. public double getData() \{ return data; \} I/ Sets this node's data. public void setData(double newData) \{ data = newData; \} I/ Gets the reference to the next node. public Node getNext() \{ return next; \} II Sets the reference to the next node. public void setNext(Node newNext) \{ next = newNext \} I/ Gets the reference to the previous node. public Node getPrevious() \{ return previous; \} I/ Sets the reference to the previous node. public void setPrevious(Node newPrevious) \{ previous = newPrevious; \} \} public class SortedNumberList \{ public Node head; public Node tail; public SortedNumberlist()\{ head = null; tail = null; // Optional: Add any desired private methods here // Inserts the number into the list in the correct position such that the // list remains sorted in ascending order. public void insert(double number) // Your code here \} // Removes the node with the specified number value from the list. Returns // true if the node is found and removed, false otherwise. public boolean remove(double number) // Your code here return false; \}