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.

The minimum possible solution is (A, B, C, D) = (10, 7, 5, 1)

Posted by K Sengupta on 2007-03-25 04:11:07