I'm a little confused to be honest as to what the point of this thread is. I am not sure if the OP is looking for help with the problem which after reading some of his replies it seems like he isn't. If he was asking for help I would think he would of given what he could do on his own and ask for help on a specific part of the problem, plus the fact that he is giving hints.
So I assume he is trying to do a you guys can't do math thread, in which case he is not giving us a very clear problem to answer.