Read in a file of complex numbers (sample is attached 126import.txt) and store them in an array of complex objects do not use vectors or other data structures for this lab. (Would you be able to do either static or dynamic array?)

Create a menu to allow console add/delete/list and save functions. (You can also do load functions to make it more complete). The list and save function needs to print out the numbers in ascending order based on its magnitude. The value of a complex number a+bi is sqrt(a*a+b*b).

Save function stores the results to file 126complex.txt.

Note:

If you can not handle a few corner cases, e.g. the last 3 complex number, remove them and focus on the main part. You will not get the full grade, but at least you need to get some code working.

You need to implement operator overloading to compare complex numbers as well as stream insertion/extraction operators.

It is highly recommended that you implement TWO classes (complex and complexDB) for this lab. It will be a good foundation for future data structure practices.

126import.txt includes:

1+1i

2+2i

3.3+3.4i

4.4-4.5i

- 5.5-5.6i

- 6

7i

- 8i