This week you may use all the features of Java taught in the class 
including Array and Vector classes. You must do the first problem 
during the lab and the second problem can be done in your spare time
but must be finished before the next lab.

Problem1: Write methods for each of the following problems.

(a) method largest
    Input: an integer array "numberList", a positive integer "n"
           where "numberList" has at least "n" entries. 
    Output: the largest integer in "numberList"  among the first 
            "n" entries.
(b) method sorter
    Input: an integer array "numberList", a positive integer "n"
           where "numberList" has at least "n" entries.
    Output: an integer array containing same numbers as in 
           "numberList" but in decreasing order.
(c) method interval
    Input: an integer array "numberList", a positive integer "n"
           where "numberList" has at least "n" entries.
    Behaviour: This method pops a window and asks for an integer x
           and then again asks for another integer y.
           Then it prints all the integers in the array that are
           between x and y, i.e., min{x,y} <= ? <= max{x,y}.
           Then it asks if the user wants to search more intervals.
           This cycle continues until user says he/she does not 
           want to search any more.
           Note: Use ResponseBox class of javabook to decide
           whether user wants to continue with the serach or not.


The next problem may be done in the ramining time and during the
following week but make sure that it is complete before the next 
lab. Next week's problem will depend on it.

Problem2: Define a class "Date" as follows

Member Data:
1) day
2) month
3) year
define each data to be private.

Constructors:
1) a constructor which take (int d, int m, int y) and sets
   the data PROVIDED IT IS A VALID DATE.
2) a default constructor.

Methods
1) set(int d, int m, int y). It sets the data PROVIDED IT IS 
   A VALID DATE.
2) getDay
3) getMonth
4) getYear
5) earlier(Date x). It returns true if "own" date is earlier
   than or equal to the date x.