I think Corion has been very helpful to you.

Perhaps the most important lesson about being a programmer is that a computer is dumb. It needs YOU, yes YOU to understand exactly how to work out an answer. A computer can calculate quicker than you but it is not smarter than you.

It is clear that you did NOT understand your problem. If you did you'd have explained the solution clearly to others.

Are you at university solving a homework problem? Are you employed in a company and have been given a task to solve? Be brutally honest about your motivations here. I believe Corion and others deserve that at least.