15 Apr
2013
15 Apr
'13
8:23 a.m.
Allan Wechsler:
I was contemplating another generalization, this one to mxn grids.
I've got the 3x4 as: 1 1 138 269 2 6 33 98 2 10 16 49 The second solution has 269, 131 at the top-right. It appears to be true, for any grid that I've looked at, that order does not matter for the final two positions, even though the second-last number may (will?) be different in the two cases. I can't do an exhaustive 3x5 (I'm sure Fred will verify or refute) but here is a candidate: 1 1 40 73 235 2 6 33 162 470 2 10 16 681 1313