The original poster
1) Thoroughly showed his/her work on the problem.
2) Organized his/her thoughts and presented them neatly.
3) Used Latex and used it well!
4) Offered potential solutions.
5) Asked easily-understood and typo-free questions.

I am appreciative of help-seeking posters like this, and it makes everyone's job much easier. Notice that this thread has like 14 responses thus far. Excellent effort and communication! Rep your way s_ingram! May others follow your example!