Homework 4 - Heaps Write a program (using the textbook code provided in my git repository) to take N elements, of whatever kinds of objects you’d like) and do the following:  Insert them into a heap one by one

Homework 4 - Heaps

Write a program (using the textbook code provided in my git repository) to take N elements, of whatever kinds of objects you’d like) and do the following: 

1. Insert them into a heap one by one.
2. Build a heap in linear time using buildHeap. 

(You’ll get bonus points if you use something more interesting than Integers for this)

Compare and provide an analysis of the running time of both algorithms for sorted, reverse-ordered, and randomly-ordered inputs. You’ll obviously have to run this a bunch of times with different values of N.  Try ranges between one thousand and ten million. How does the timing depend on N, and the ordering of the data at the start?  Plot the data in Excel or a similar program to do your analysis.  Upload this analysis as a PDF into your git repository, just as you would with a source-code file.   Below is an example of how to do timing of an algorithm in a java program:

import java.util.concurrent.TimeUnit;

class TimeExample

{

                public static void main(String[] args) throws InterruptedException {

                          long start = System.nanoTime();

                          // ... the code being timed goes here ...

                          // as an example: sleep for 5 seconds

                           TimeUnit.SECONDS.sleep(5);

                         // ... the code being timed ends ...

                          long end = System.nanoTime();

                           long msElapsed = (end - start) / 1000000;

                           System.out.println("Execution time in milliseconds: " + msElapsed);

            }

}