Est. 1998 — 27 years of woodworking knowledge
Friday puzzle -- Chessboard
Alex Y
A chessboard is numbered with all 64 squares having a number equal to the average of the numbers on neighboring sguares. At least one of the squares has a 1. What is the largest possible difference between the maximum and minimum squares?
Re: Friday puzzle -- Chessboard
Bill Earl
Are we restricted to positive integers?
No
Alex Y
Any real numbers
Zero
Bill Earl
Looking at the square with the highest number, we know that it is the average of the numbers of the surrounding squares. The only way for this to be true is if all the numbers are the same.
Correct!