14 Apr
2013
14 Apr
'13
2:14 p.m.
On 4/14/2013 2:00 PM, Hans Havermann wrote:
Eric Angelini wrote:
My best MAX is 40: is it the highest possible MAX in a 3x3 square?
I believe the highest MAX is 44.
I concur with Hans, and add that the highest for a 4x4 square seems to be 2473 (barring software or hardware errors). The filled-in grid looks like this: 1 1 1239 2473 2 4 419 815 6 18 100 296 6 30 48 148 It's easy to figure out the order in which the numbers are entered. The two 6s are a bit surprising. My brute force approach handles 3x3 in under a second and 4x4 in under two hours; 5x5 would seem to be infeasible without better ideas. -- Fred W. Helenius fredh@ix.netcom.com