Re: [math-fun] A grid with MAX

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. If we label the 9 squares 1-9: +-----+-----+-----+ | 1 | 2 | 3 | | | | | +-----+-----+-----+ | 4 | 5 | 6 | | | | | +-----+-----+-----+ | 7 | 8 | 9 | | | | | +-----+-----+-----+ then I get 44 by doing the squares in the order: {2, 4, 7, 5, 3, 6, 8, 9} {2, 4, 7, 5, 3, 6, 9, 8} or their symmetrical counterparts {4, 2, 3, 5, 7, 8, 6, 9} {4, 2, 3, 5, 7, 8, 9, 6}