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CS99, Fall 2002: Homework 6 Due Monday 11/4 at BEGINNING of LECTURE (9:05am)
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General guidelines:

 + For the following problems, write each program in a separate M-File. 
 + Remember to follow the submission guidelines as specified in the syllabus!
 + I included a few more instructions this time, which are written below.

Programming style:

 + Although you quickly recognize how useful arrays could be,
   you may NOT use them to solve any of the following problems.
 + I mean it...no arrays!

Submission for lecture:

 + Print all files and the grading guide.
 + Staple the grading guide on top of your work.

Electronic submission:

 + Zip all of your M-Files together in a file called <your net-id>_h6cs99.zip .
 + E-mail the zip file to cs99@cs.cornell.edu *before* the deadline.

Late submissions:
 
 + We do not accept ate submissions in person or by e-mail. 
 + If you miss the deadline, you will be required to perform extra work on 
   the final project.
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1. Write a program that prints an empty triangle out of asterisks given
   a user-input size for the height. An example session follows:

   >> Please enter the height of the triangle: 5

       *
      * *
     *   *
    *     *
   *********
 
   To receive full credit, you must use a nested control structure. You may
   assume that the user enters a legal size. In a comment block before the
   code, write the full algorithm you used to develop your program.

2. Write a program that does the following:

     + Reads in a sequence of positive integers -- a non-positive integer
       terminates the sequence.
     + Prints the number of multiples of 5 found in the sequence.

   On your own, test your program with the following input sequences:

      5, 21, 1, 21, 25, 32, -1
      0, 5, -1 (Hint: What should the program do if the user enters zero?
                Beware of what positive means!)  
      150, -1

   Note that "input sequence" means that the user is prompted to enter 
   one value at a time. Input ends if the user enters an illegal value.
  
   As a block of comments, answer these questions: Are there other useful
   test cases you should try? What are the limitations of this program?

3. Write that does the following:

     + Reads in a sequence of integers between -100 and 100, inclusive
        -- an out-of-range number terminates the sequence
     + Prints the number of sign changes for the sequence.  Recall that
       there are three different signs: +, 0, and -.

   On your own, test your program with the following input sequences:

     -99, -97, 12, -10, 1, -2, 101
     1, -1, 0, 1, -1, 101
     1, -101
     2000

4. One of the best ways to learn something is to teach it. So, write an 
   ORIGINAL question that involves a loop that contains at least one
   selection statement. Provide a solution to your problem. (Put the problem 
   above the solution as a block of comments.) We will choose one (or more)
   of your submissions for your next prelim!
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