What are the smallest positive integers A, B, C, and D such that A+A > A+B > A+C > B+B > B+C > A+D > C+C > B+D > C+D > D+D ?

Note: Of all solutions, choose the one with the smallest A, then smallest B if there are more than one with the smallest A, etc.

(In reply to Spoiler by Tristan)

In your answer you were talking about a sort of proof that minimizes the numbers. I will like to see it.

My answer and general solution were reached mostly via deductive logic and few tricks.

Posted by Osi on 2004-11-07 14:01:46