MathDB

(a) Decide whether the fields of the

8 \times 8

chessboard can be numbered by the numbers

1, 2, \dots , 64

in such a way that the sum of the four numbers in each of its parts of one of the forms
http://www.artofproblemsolving.com/Forum/download/file.php?id=28446
is divisible by four.
(b) Solve the analogous problem for
http://www.artofproblemsolving.com/Forum/download/file.php?id=28447

7

Problems(1)