The purpose of this is assigment is not only some fun numerical
manipulation but also to practice some fundamental programming
techniques. Include at least one user defined function in your
project.
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Quirksome Squares 

The number 3025 has a remarkable quirk: if you split its decimal
representation in two strings of equal length (30 and 25) and square
the sum of the numbers so obtained, you obtain the original number:

(30+25)*(30+25)

In this problem, you are is to determine all numbers with this
property having a given even number of digits.

For example, 4-digit numbers run from 0000 to 9999. Note that leading
zeroes should be taken into account. This means that 0001 which is
equal to (00+01)*(00+01) is a quirksome number of 4 digits. The
number of digits may be 2,4,6, or 8. 


Input

The input of your program is the number 2, 4, 6 or 8 corresponding to
the number of digits.

Output

The output is consists of the quirksome numbers with the appropriate
number of digits. One per line in increasing order. Leading 0s may not
be suppresed (see below)

Warning: Please note that the number of digits in the output is equal
to the number in the input line : again, leading zeroes may not be
suppressed.

Sample Input

2

Sample Output

00
01
81


Advice: First work on testing 10-99 so that you do not need to be
concerned with the leading 0s and only need to worry about numbers of
length 2. Once you are satisfied that this is working, try 1000-9999.
Then, move on to tackle the leading 0 problem.



Homework handin and requirements:
1) You'll be making a script as your handin.
2) Your script should cat your file.
3) Your script should show compilation.
4) Your script should demonstrate your program operating on 2,4,6 and 8 as input.
5) Your program must incorporate at least one user-written function. 
6) Handin will consist of your script file and source code on canvas.
7) You must place a comment as the first line of your code that has your name.
8) You must place a comment as the next line(s) of your code that has your honor code pledge
9) You must place a comment as the next line(s) of your code that
lists resources that you have used to solve this project. This may
include people, tutors, websites, relatives, etc. You must also list a
brief description of the kind of the kind of help they provided.

Failure to incorporate these components may result in a 0% for this assignment.

When your program is complete, you must go to the top of your source and add these things for credit.