(a) Decide whether the fields of the
![8 \times 8](/media/m/0/6/1/06154d0025de243d356b138b5f316d8e.png)
chessboard can be numbered by the numbers
![1, 2, \dots , 64](/media/m/9/f/8/9f83b53c22b1558b2a060cf9eed15bcd.png)
in such a way that the sum of the four numbers in each of its parts of one of the forms
is divisible by four.
(b) Solve the analogous problem for
%V0
(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
is divisible by four.
(b) Solve the analogous problem for