Divide a set of 24 integers from 2 to 25 inclusively, with each of the integers occurring precisely once, into two mutually exclusive groups such that the absolute difference between the product of the integers in each group is the minimum.

31,074,619,509,964,800,000

After factoring out 17 integers from pairings, looking for least difference among products of the remaining seven integers, then multiplying each set.  This must be on the wrong track entirely!

Posted by ed bottemiller on 2009-11-24 15:26:28