Turn in your assignments according to the instructions given in the first day handout. Remember to include sample output when you turn in your program listings. Also turn in a disk with a runnable version of your code (the same as what you've printed). You are allowed to work with one partner on this assignment, in fact, it is strongly encouraged that you do so. Remember that you will be graded on both style and correctness. For the written problems, please turn in typed (or highly legible handwriting) responses.

• Problem 1 (20 points) -- Loops and output formatting: Ask the user for a positive integer, call it n. List the integers from 1 to n, their squares, square roots, and cubes all in a four column table. (Recall the '\t' character in output.) There are many ways to write this program. Implement one, and in your comments at the top of the program, describe another way you might have solved this problem.

• Problem 2 (25 points) -- One dimensional arrays and subclasses: It's time to compute final grades. There are two types of students in the class: those taking it for a letter grade, and those who are taking it pass-fail. Write a program that first asks the user how many students there are in the class. Then, for each student it should query the user for the student's name and whether that student is expecting a letter grade or taking the class pass/fail. At that point, the program should accept 6 grades corresponding to 6 assignments for the student.

• Problem 3 (25 points) -- Search: Assuming you have solved problem 2 above, extend and modify the program as follows. After asking for input and computing the grades and before outputting the entire list, offer the user a menu similar to the following:
  
  Please indicate which of the following tasks you would like to perform:

1. Search for a particular name and view that person's grades.
2. View the maximum, minimum and average grades for the entire class.
3. View the names and average grades of the students who were taking the class for a letter grade.
4. View the entire list of students and all of their grades. [This is essentially the output generated in Problem 3.]
5. Quit

• Problem 4 (20 points) -- Problem 6.26 in your text: Design and implement an application that creates a histogram that allows you to visually inspect the frequency distribution of a set of values. The program should read in an arbitrary number of integers that are in the range 1 to 100 inclusive (you should produce an error message if any input falls outside of this range and provide a way for the user to indicate that they are done inputting the data); then produce a chart similar to the one below that indicates how many input values fell in the ranges 1-10, 11-20, and so on. Print one asterisk for each value entered.

• Problem 5 (10 points) -- Written answers:

1. Suppose that the two statements below appear, as shown, in a program. What single if statement could you replace them with?

if (n >= 2) n = 3*n + 1;

if (n >= 7) n = n - 7;

2. One of the bugs associated with boolean expressions is the appearance of an unexpected alternative not ruled out by the statement of the expression. Here are some everyday examples of this phenomenon:

1. Two people played seven games of chess, yet each won the same number of games. How is this possible?
2. I have two coins in my pocket and one of them is not a nickel. What are the two coins?

1. Explain the concept of array bounds checking. What happens when a Java array reference has an index value that is not valid?