You are required, but not limited, to turn in the following source files:

Assignment9.java

**Requirements to get full credits in Documentation**

- The assignment number, your name, student ID, lecture number/time, and a class description need to be included at the top of each file/class.
- A description of each method is also needed.
- Some additional comments inside of methods (especially for the “main” method) to explain codes that are hard to follow should be written.

You can look at the Java programs in the text book to see how comments are added to programs.

**You are not allowed to use the Scanner class in this assignment and any assignment after this one. You will need to use** **InputStreamReader** **and** **BufferedReader** **(they are in java.io package) to process input and also take care of** **IOException.**

**New Skills to be Applied**

In addition to what has been covered in previous assignments, the use of the following items, discussed in class, will probably be needed:

Recursion

One-dimensional arrays

**Program Description**

Assignment #9 will be the construction of a program that reads in a sequence of integers from standard input **until 0 is read**, and store them in an array (including 0). This is done using iteration (choose one of for, while, or do while loop). You may assume that there will not be more than 100 numbers.

Then compute the minimum number, compute the smallest even integer, count negative numbers, and compute the sum of the numbers that are divisible by 3 **using recursion**. Thus, you will create recursive methods findMin, computeSmallestEven, countNegativeNumbers, and computeSumOfNumbersDivisibleBy3 in Assignment9 class and they will be called by a main method.

Specifically, the following **recursive** methods must be implemented (These methods **should not contain any loop**):

* public static* *int* *findMin(int[] numbers,* *int* *startIndex,* *int* *endIndex)*

*public* *static* *int* *computeSmallestEven(int[] elements, int startIndex, int endIndex)*

*public* *static* *int* *countNegativeNumbers(int[] elements, int startIndex, int endIndex)*

* public static* *int* *computeSumOfNumbersDivisibleBy3(int[] elements, int startIndex, int endIndex)*

**If these methods are implemented using a Loop or any Static Variable, points will be deducted (from the test cases) even if your program passes test cases. DO NOT use any Static Variables.**

The program should output the results of those calculations to standard output. Your program will continue to read in numbers until the number 0 is entered. At this point, the calculations will be outputted in the following format:

The minimum number is 0

The smallest even integer in the sequence is 0

The count of negative integers in the sequence is 0

The sum of numbers that are divisible by 3 is 0

Note that the result values will be different depending on test cases (not always 0).

**Do not output a prompt to query for the numbers.** The number 0 is included in the sequence of numbers and should be included in all of your calculations.