Also - prove true or false When A = R, the diagonals will always include at least 1 duplicate number If you have a diagonal, top left to bottom right of 123456789, and you have a diagonal from bottom left to top right of 372859416, both those diagonals don't repeat, and should allow you to fill in the remaining blocks for a valid sudoku puzzle.
Here is a valid puzzle with no diagonal repeats:
147925836
528364917
963187452
615439278
789251364
234876591
892613745
471592683
356748129
Good example for the answer of False. Now... any idea of how to put this in math terms as a proof? I had a slightly different variation on what you provided as an example. I just cant seem to get this into a proof.
It's like, I can SEE that a circle is round, I just don't know how to prove that a circle is round.