You must work individually for this assignment. Purpose: The purpose of this lab

Question

You must work individually for this assignment. Purpose: The purpose of this lab is to conduct an experiment to understand how running time grows with respect to input size for balanced and unbalanced trees. What to do: Setup; 1. Start with your code from the completed lab 2. If you did not get lab 2 working, you can download a reference copy of the modified program (TreeApp,java) code from the lab 3 module on D2L, You will not need an input file for this lab Create a Java file with a main method and other methods to run the experiments (described below). I called this file RunningTimeExperiment java Your workspace should look something like this 2. 3. vlab4 IRE System Library (laveSE-1 >DRunningTimeExperiment java > settings classpath ?.project Write a program in Java that does the following: Implement four methods. Each method should print out the running time for each of the following four test cases: 1. a. A binary search tree which does n insertions with keys in random order b. A binary search tree which does n insertions with keys in order from 1 through n. C. A TreeMap which does n insertions with keys in random order TreeMap is defined in java.util (and is implemented in Java as a red-black tree). a input.tit lab2 pdf xt

Explanation / Answer

tree.insert(50);

        tree.insert(30);

        tree.insert(20);

        tree.insert(40);

        tree.insert(70);

        tree.insert(60);

        tree.insert(80);

void insert(int key) {

       root = insertRec(root, key);

    }

     

    /* A recursive function to insert a new key in BST */

    Node insertRec(Node root, int key) {

        /* If the tree is empty, return a new node */

        if (root == null) {

            root = new Node(key);

            return root;

        }

        /* Otherwise, recur down the tree */

        if (key < root.key)

            root.left = insertRec(root.left, key);

        else if (key > root.key)

            root.right = insertRec(root.right, key);

        /* return the (unchanged) node pointer */

        return root;

    }

}

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