/*
 * Midterm1InLab.java
 * 	Midterm 1 test for CS102, Fall 2009
 * 
 * @name Dale Reed   // Replace my name with yours
 * @date Wednesday, September 23, 2009
 * 
 * Be sure to comment out sections of code that don't work before
 * you turn in your solution, since you get no points if your
 * program doesn't compile.  See instructions for each of the problems
 * below.
 * 
 * You MAY write additional methods if you feel that would be helpful.
 * Turnin this exam using the following command from your CS account:
 * 
 *     turnin -c cs102 -p midterm1 Mid1.java
 *     
 * where the file with your code in it is called Mid1.java */

import java.util.Scanner;       // used for console input commands

public class Mid1 // For first Midterm
{
	// For input from the keyboard
	Scanner keyboard = new Scanner(System.in);
	
	public static void main (String[] args)
	{
		// Replace my name with yours in the statement below
		System.out.println("Name: YOUR NAME!!! \n" +
				           "Midterm Exam 1, CS 102, Fall 2009 \n");
		
		// Create an object so I can call the two methods below
		Mid1 myMidterm1 = new Mid1();              
		
		// Calling two methods.
		myMidterm1.problem1();   // first problem
		myMidterm1.problem2();   // second problem
		
		// End of the midterm.
		System.out.println("\nEnd of Midterm1 problems.\n\n");
	}// end main()
	
	
	/* -----------------------------------------------------------------
	 * Write the code for your solution to PROBLEM 1 inside the method 
	 * called problem1() below these comments.
	 *
	 * Write code to read in 7 integers (1..100) from the keyboard.  Print
	 * out the largest and the smallest numbers.
	 *
	 * For one set of input, running this would look like:
	 *      Inside Problem 1
	 *      Enter 7 integers between 1 and 100: 41 9 23 45 91 7 13
	 *      The largest and smallest are: 91 7  
	 *      
	 * For another set of input, running this would look like:      
	 *      Inside Problem 1
	 *      Enter 7 integers between 1 and 100: 9 3 5 7 2 8 4
	 *      The largest and smallest are: 9 2 
	 */
	private void problem1()    
	{
		System.out.println("Inside Problem 1");
		
		// Write your solution to problem 1 starting here...
		// ...
		
	}// end method problem1()
	
	
	/* ---------------------------------------------------------------- 
	 * Write the code for your solution to PROBLEM 2 inside the method 
	 * called problem2() below these comments.  
	 * 
	 * 		I recommend that you first turn in your completed solution
	 * to problem 1, in case you don't finish this portion or it causes
	 * your program not to compile.
	 *
	 * According to legend a sage appeared in the court of a king
	 * and challenged him to a game of chess.  The king, being an
	 * expert player gladly accepted the challenge and agreed that
	 * the loser would pay the winner in rice, with one grain of rice
	 * on the first board square, two on the second, four on the 
	 * third, and so on, doubling the number of grains of rice for each
	 * of the 64 board squares, paying off one square per day.
	 *    Over-confident, the king lost and began paying in rice, 
	 * placing one grain of rice on a square the first day, two on the
	 * next square on the second day, and so on.  The king began to 
	 * realize his mistake in agreeing to this payment, and that in
	 * order to pay off his debt he would lose his kingdom.  Being
	 * a dishonorable monarch, rather than confess his predicament
	 * to the sage, he cheated.  
	 * 		He did double the number of grains of rice on each square
	 * each day for the first 20 days.  Starting on day 21, he kept 
	 * adding the same number of grains of rice on each square, 
	 * only doubling this number every 4 days.  In other words, there 
	 * were the same number of grains of rice added on the 21st, 22nd, 23rd,
	 * and 24th squares. This number was then doubled on the 25th
	 * square, with this new value added on the 26th, 27th, and 28th
	 * squares, and so on.  (After the last day, the sage learned of the
	 * trickery and transformed himself into a swarm of beatles that ate
	 * all the rice in the land.)
	 * 		Write a program in Java that displays the number of grains
	 * of rice added each day as well as the total number of
	 * grains of rice accumulated on the board for each of the
	 * 64 days.  The first 27 lines of your output should look like
	 * the following:
	 *   
	 *      Inside Problem 2
	 *      The square number, grains added, and accumulated grains of rice are:
	 *      1. 1  1
	 *      2. 2  3
	 *      3. 4  7
	 *      4. 8  15
	 *      5. 16  31
	 *      6. 32  63
	 *      7. 64  127
	 *      8. 128  255
	 *      9. 256  511
	 *      10. 512  1023
	 *      11. 1024  2047
	 *      12. 2048  4095
	 *      13. 4096  8191
	 *      14. 8192  16383
	 *      15. 16384  32767
	 *      16. 32768  65535
	 *      17. 65536  131071
	 *      18. 131072  262143
	 *      19. 262144  524287
	 *      20. 524288  1048575
	 *      21. 1048576  2097151
	 *      22. 1048576  3145727
	 *      23. 1048576  4194303
	 *      24. 1048576  5242879
	 *      25. 2097152  7340031
	 *      ...
	 *      
	 */                  
	private void problem2()    
	{
		System.out.println("Inside Problem 2");
		
		// Write your solution to problem 2 starting here...
		//    I recommend that you first turn in your completed solution
		// to problem 1, in case you don't finish this portion or it
		// causes your program not to compile.
		//
		// HINT: Large values don't fit into a variable of type: int
		//      For large numbers, instead use type: long
			

		
		
	 }// end method problem2()
	
	
}// end of class Midterm1InLab