4003-231: CS1		Homework Programs #3		Due: Thur. week 8

			REPETITION STATEMENTS
		       (for, while & do loops)

===================== Change in Grading Policy =========================

Each question below has a number of points associated with it, you are
required to turn in 3 points worth of problems.

===================== Things to Turn in ================================

You should turn in a printout of your program (make sure you name and
the homework number is at the top.  In addition, you should turn in a
printout of the running of your program.

To get a file that contains the output of everything that is printed on
the screen (in Unix) you can use the "script" command.  For information
on how to use the command type
	man script
on the Unix command line.

When providing output from your program you should run your program
multiple times, with a couple of the runs using data not provided in
the examples.

===================== Homework Programs #2 =============================

1. (1 point) Write a program to find the largest, smallest and average of 
   ten positive numbers entered by the user.

   Note that you shouldn't have to save the numbers as you go, all you
   need is to check current number with the largest (or smallest) that
   you have seen so far.

2. (2 points) Write the function find_gcd that computes the greatest 
   common divisor (largest number that divides two numbers).  The 
   prototype of the function should be:

                public static int find_gcd( int num1, int num2 )

   The following algorithm can be used to compute the gcd of two 
   numbers (num1 and num2).

   1. Repeat steps (a) and (b) while  num1 and num2 are not the same:
        a.      Set D = |num1 - num2|   <=== this is the absolute value
        b.      If num1 > num2 then
                        Set num1 = D
                Otherwise
                        Set num2 = D
   2. Once num1 and num2 are equal, num1 (or num2) is the gcd.

3. Write a program to draw various triangles made of stars.  The user
   should be prompted to enter the size of the triangle. The program 
   should make sure that the user doesn't enter an illegal size for
   the triangle (you can make sure that all triangles are bigger than 
   size 2).

   Some triangles that you might want to try are:

a) (1 point) Left Up Triangle (size 4):
*
**
***
****

b) (1 point) Left Down Triangle (size 5):
*****
****
***
**
*

b) (2 points) Right Up Triangle (size 3):
  *
 **
***

c) (2 points) Right Down Triangle (size 4):
****
 ***
  **
   *

d) (2 points) Isosceles Triangle (size 5):
    *  
   ***
  *****
 *******
*********

e) (3 points) Hollow Isosceles Triangle (size 4):
   *  
  * *
 *   *
*******


4. (4 points) Modify problem 3 so that the program will first asks the 
   user which of the possible triangles to draw, then asks for the size 
   and finally draws only the desired triangle.  Your program should 
   perform error checking to make sure the user doesn't ask for an 
   illegal triangle.