Place eight 'A's and eight 'B's in a 4x4 grid such that each 'A' is orthogonally bordered by 1 or 3 'A's and each 'B' is orthogonally bordered by 0, 2, or 4 'B's.
Can a 6x6 grid be filled with 18 'A's and 18 'B's in this manner?
Note: 'orthogonally' means horizontally or vertically
(In reply to
re: solution of first part by Charlie)
The next solutions were found on a 12 x 12 grid. There are 132 of them. That could be reduced by eliminating reflections and rotations, but I haven't done that:
A A A A A A A A B A B B B A A A A B A A B B A A
B A A A A A A B A A B B A B A A B A B B B B B B
A A B B B B A A B A A A A A A A A A B A B B A B
B A B A A B A B A A A B A A B B A A B A A A A B
A B B B B B B A B B A A A A B B A A B A A A A B
A B B A A B B A B B A B A A A A A A B A B B A B
B A A B B A A B A A B A A B A A B A B B B B B B
A B B B B B B A B B A A B A A A A B A A B B A A
A B A B B A B A B B B A A B B B B A B B A A B B
B B A A A A B B A B B B A B A A B A B B B B B B
B A A A A A A B A A B B B B B B B B A B A A B A
B B B B B B B B A B A A B B A A B B A B B B B A
A A A A A A A B A A B A B A A A A B B B A A B B
B A A A A A B A B B A A A B A A B B A B B B B B
A A B B B A A A B B B A A A A A B A A A A A B A
B A B A B A A A A B B B A A B A B B B A A B B A
A B B A B A B B B A B B A A A B A A B A A B A B
A B A B B B B A B A A A A B B A B B B A A B A A
B B A B B A A A B A A B B B B A B A A A A B A B
B A B A A B A A B A A A B B A B B B A B A B B A
B A A B B A A A B A B B A A A B B B B A B A B A
B A B B B B B A B B B B B A A A B B B A A A B B
B B B B B A B B A A B A A A B B A B A A A A A B
A A B B A A A B B B B A B A B B A B B B B B B B
A A A A A A B A B B A B B A A A B A B A A B A B
B A A A A B A A B B A A A B A B A A A B B A A A
A A B B A A B A A A A B A A B A B B B B B B B B
B A B B A B A A A A A A A B A A B A A B B A A B
A B A A B A B B B B B B B A B A B B B A A B B B
A A B B A A B A A A A B A A A B A A B B B B A A
A B B B B A B B A A B B B B B A B B A A A A B B
B B B B B B A B A A B A B A B A B B B A A B B B
B B B B B B A B A A B A B A B B A B B A A B B A
A B B B B A B B A A B B B B A B A A A A A A A A
A A B B A A B A A A A B A B A B A A A B B A A A
A B A A B A B B B B B B A B B B A B A B B A B A
A A A A A B A B A B A A B A A A B A B B B B A A
B A A A B A A A A A B B A B A B A A B A A B B B
A A B A A B B A B B B B A A B A B A B B B A A B
B A A A B B B B B A B A A B A A A B A A B B B B
A A A A B B B A A A B A B A B B B A B B A A A A
B B B A A B A B A A B B A A B A B A B B B A A B
B A B A B B A A A A A B B A B A B B A B B A A A
B A B B B A A A B B B B A B B B A B A A A A B B
B B A A A B B A B A A A A B B B A B A A A A B B
A B B A B B B B B B A B B A B A B B A B B A A A
A A B B B B B A B B B A A A B A B A B B B A A B
A B A A B B A A A B B A B A B B B A B B A A A A
A A A A A B B A B A B B B A A B B A A A B A B B
B A A A B B B A A A B B A B B B B B A B A A B B
A A B A B B A A A A A A A B A B B B B A B A A A
B A A B A A B B B B A B B B A A B B B A A A A B
A A B A B B B A A B B A B A A B A B A A A B A A
B A A A B A A B B A B A B B A A A B B B A A A B
A A A A B B B B B A B B A B A A A A A B A A A A
B B B A A A A B A B A B A B A B B A B B A B B B
B A B A A A B B A A A B B B B B B B B A B B A B
B A B A B A B A A A A B B B A B B A A A B A A B
B B B B A B B B B B A B A A A A A B A A B B A B
A A B B A B B A A B B B B A B A B A A A A B B B
A A A A A B B B A A B A B A A B B A A B A A B A
B A A A B B A B B B A A A B B B B B B A B B A A
A A B A B A A A A B B A A B A B B A B A B B B A
B A A B B B B A B A B B B B A A A A B B A B B B
A A B B B A B B A A A B B A A A A A A B A A B B
B A B B A A A B B B B B B B B B B B B B A B A A
A B A A B B B A A A A A A A A A A A A A B A B B
A A B B B A B B A A A B B A A A A A A B A A B B
A B B A A A A B A B A A A A B B B B A A B A A A
B B A B A B B B B A A B B A B A A B A B A A A B
B A A A B B A B B B A A A B B B B B B A B B A A
B B B B B A A A B B A B A B B A A B B A B B A B
A A A A B B A B B B A B B A A B B A B A B B A B
B A A B B B A B A B A A A B B B B A A A B B A A
A A A B B A B B A B A B A B A B A A A A A A A B
B B A A A A B A B B B A B B A B B B B B A A A A
B B A A A A B A B B B A B A B A A A A B A B B B
A A A B B A B B A B A B B A A B A A B B B B A B
B A A B B B A B A B A A B A B A A A B B A A A B
A A A A B B A B B B A B B B A B B A A A B A A B
B B B B A A B A A A B A A B A B B A A B A A A B
B A A B B B A B A B A A A B B A A A A A B B A B
B B B A A B A A B A B A B A B B A B B B B B B B
A A B B B B A B A A A B A A A B B B A A B B A A
A A A A B B B A A A B A B A A B B A B B A B A A
B A A B B A B B A B A A A B B B B A B B A A B B
A A A B A A A B B A B A A B A B A B A A A B B B
B B A B B B B A B A A B B B A B A A B A A B B A
B B B A A A B A B A B A B A B B A B A A A A A A
A B B B A B B B B B A A B A B A B A B B B A A A
A A B B B B B A B B B A B B B A A A B A B A B A
A B A B A B A A A B B B A A A A A A B A B B A B
B A A B A B B B B A B B B A A B B A B B A B A A
A B A B B A A A B A A A A A A B B B A B A B A B
A A B A B B A B B A A B B B A A B B A B B B B A
A B A A A B B B A A A A B B A B A A B A A B B A
A A A B A A A B B A B A B A A B B B A A B B A B
B A B A B A B B B A A A A B B B A B B B B B A A
A B A A A B B B A A A A A B A A A A A A B A A B
A A B B B B B A B B B A B B B A B A A B B B A A
A B B A A B A A B A B B B B B B A A A B B B A B
B B A B B B B A B A A B A B B B B B A A B A B A
B A A B A B B B B A B B A A B B A B A B B A A A
B B A B A A B A A B B A A B A A A B B B A A A A
A B B B A B B B B B A A B A B A A A A A B B B A
A A A A B B B A A A B A A A A A B A A B B A B B
A A A B B B A B A B A B B B A A A A A B A A A B
A B A B B A A A B A A A B B A B A B A B B B B B
A A A B A A B B B B A A B A A B B B A B A B A A
B A B A B B B A A B B B A B B B A B A A A A B B
A B A A B A A B B A A B A B A A A B A A B B B B
A A B A B B B B B B B B B B B A A B A A B A B A
A B A B A A A B B A A A B B B A A B A A B A B A
B A A A B A B A A B A B A B A A A B A A B B B B
A B B B A B A B B A B A A B B B A B A A A A B B
A B A B A A A B B A A A B A A B B B A B A B A A
B B A B A A A A A A A A A B B A A A B A B A B B
B A B B A B B A A B B A A B B B A B A A A A B B
B A B A B B B A A B B B B A B B B A B B A A A A
B B B A B B A A A A B B A A A B B A B B A B A B
A A A B B A A A B A B A B A A B B B B A B A B B
B A B B B B A B A A A A A B B B A A B A A A B B
A B B B B B B A B B A A A B A A B B B A A A A A
A B B B B B B A B B A A B B B B B A A A B B A B
B A B B B B A B A A A A B B A A A B A A B B B A
A A A B B A A A B A B A A A B A B A A A A B B A
B B B A A B B B A B A B B B A B A B B B B A A B
B A B B B B A B A A A A B B A A A B A A B B B A
B A A A A A A B A A B B A A A A A B B B A A B A
B A A A A A A B A A B B B A B B A A A B B B B B
B A B B B B A B A A A A A B B B A A B A A A B B
B B B A A B B B A B A B A B B A A A A B A B A A
A A A B B A B A B B A A B A A B B B B B A A B A
B A B B B A A A B B B B A B B B A A A B B B A A
A B B B A A A A A B A B A B A A B A B A A B B A
A B B A B B B B B B A B B B B B A B A B B A B B
B A A A B A A A A A B B B B A B A A A B B A A B
A B A A B B A A A B B A A A A B A A A A A A B B
A A A A A B A B A B A A B A A B A B B A A A B A
A A B B B B B A B B B A A A A B B B B A B A B A
A A B A A B B A B B B B B B A A A B A B A B B B
A A B B B A A B A B B B B B A A B B A A A B B B
A A A A B B B A A A B A A A A A B A A A A A B A
A B A B A A B B B B B A B A B A B B B B B B B A
A A A B B A B B A B A B B A B A A B A B A A A B
B A B B B A B B A A A A A A A B B A A A B A B A
A B B B A B A A A A B B B B B B B B B B A B A A
A B B A A A B A B A B B B A A B B A A B A A B A
B A A B B B A B A B A A B B B A A B B B A B A B
A B B B A B A A A A B B A A B B B B A A B A A A
A B A A A B A A B B B B B B A A A A B B A B B B
B B B A A B A A B A B A B B B A A B B B A B A B
B B B A A B A A B A B A A B B A A B B A B B A B
A B A A A B A A B B B B A A A A A A A A B A B B
A B B B A B A A A A B B A A A B B A A A B A B A
B A A B B B A B A B A A A B A B B A B A B B B A
A A A B B B A A B B A A B A B A A B B A B B B A
B A B B A B B B B B B B A A A B B B B A B A B A
A B B A A A A A B B A B B B B B A B A B B A B B
A B A B B A A B A A A B B A A A A B A B A B A B
B B A B B A A A B A A B B B A A A B B B A A A B
B A B A A A B B A A A B A B A B A A A A A A A B
B A A B A A B B B B A B A B B A A A A A B B A B
B A B A A A A B A B B B B A B B B B B A B B B B
B B A B B B B B A A A A A A A A A A B B A B A A
A B A B A A A A A A A B B B A A A B A B A B B B
A B B B B A A A B B A A B B A B A A A B B A A B
B A A B B A B A B B A B A A B A A A A A B B B B
A A A B B B A B A B A B B A B A A B B B A B B B
B A B B A B A A A A A A A A A B B B A B A B A B
A B B A A B A A B A B B B B B B A A A B B B A B
A B A B A B A A A B B B B A A A B A A A A A B B
B B A A B B A B B B B A B B A B A A B A A B B A
B A A B B A B B A B A A A B B A B A A A A B A A
B B A B A A B A A B B A A A B A A A A B A B B A
A B B B B A B B A A B B A B B A A B A A B A B B
A A A B B B A B A B A B B B A A A A A B A A A B
A A B A B B A B B A A B B A B B B A A A B B B B
A A A A A A B A B B A B B A B A B A B B B A A A
A B A B A B A A A B B B B B B A B B B A A B A B
A A A B B B B A B A B A B A B A B A A A A B B B
B A B B A A B A A A A A A A A A A B A A B B A B
A B B A B B B A A B A A B B A B B A A A B A A B
A B A A B A A A A A A A B B B B B B B A B B A B
B B B A B B A B B A B A A B A B B A B B A B B B
B B B B A B B B B B A B A B A A A A A B A A A A
A B B B A A A B B B A A B B A A A B B B A A A B
A A B A A A B A B A A B B A A B A B A A A B A A
A B B B B A A A B B A A B B A A B B B A A A A B
B B B A B A A A A B A B A B A B B B B A B A A A
B B A A B A B B B B B A A B B B B B A B A A B B
A A B A B B B A A B B A B A A B B A A A B A B B
A A B A A A A A B B B B B A B A B A B B B A A A
B B A B A A A B B A A B A A A A A A B A B B A B
B B A A A B A B A B B B B B A B A A B A A B B A
A A A A A A B B A B A A B B B A A A B A B A B A
B A B B B B B A B B B B A B B B B A B B A A B B
A B B A A A A A B B A B A A B A B B A B B A A B
A B A B A A A A A A A B A B B A A B A A B A B B
B B A A A B B B A A A B B B A A B B A B B B B A
B A A A A B A B A B A B B A B A B A B B B A A A
B B B B A B A B B A B B B A A B B A B B A B A A
A A A B B B B A B A B A B A B B A B A A A A A A
B A B A A B B A B B B A B B B A A A B A B A B A
A A B A B A A A A B B A B A B A B B A A A A A B
B B A A A B A A B B B A A A A A B B B A A A B A
B B B B B A A A B B A B B B A A A B B A B A A A
A B A A B B B A A A A A B B A B B A A B A A A A
A B B B A A B A A A B B A A B B B B B A B B B A
B A A B B B B A B A B B B B B B B A B A B A B B
A B B A A A A B A B A A B A B B A A B B B A A B
A B B B A A B A A A B B B A A A B A A A A A B B
B A B B A A A B B B B B B A A B A A A A A A B A
A A A A A B B B A A B A B A A A B B B B B A B A
B B A A A B A A B B B A B A B B B A A A B B B B
B B A B A B B B B A A B B B B A A B A B A A B B
A A B A B A B A A A A A B A B A B B A B B A A A
B B A A A A A B A A A B A A A A B B A B B B A B
B B B B A B B A A B A A B B A A A A B A B B B A
A B A B B B B B A A A B B B A B A B A A A B B A
A B A A A B B B A A A A A A B A B A B B B A A B
B B A A B A B A A B B B B B A A A A B A B B B A
B A A A A A B B A B A B B B B B A A B A A A B A
B B B B A A A B B B A B A B A B A A B A A B B B
A A A B A B B A A A B B A B A B A A B A A B B B
B A B B B B B B A B B A B B B B A A B A A A B A
A B B B A B B B B B A A B B A A A A B A B B B A
A B B A A A B B A A B A A A B A B A B B B A A B
A A B A B A B B B A A B B A B A B B B A A B B B
B B A A A A B A B B B A A A A A B A B B B B A B
B B B B A A B A A A B A B B A A B A A A A A A B
A B A B A A B A A B B B B B A A B A A A A A A B
A B A B A A B A A B B B A A A A B A B B B B A B
B B B B A A B A A A B A B A B A B B B A A B B B
B B A A A A B A B B B A A B A B A A A B B A A A
A A B A B A B B B A A B A A A A B A B B B B A B
B B A B A B A A A B B A A A B B A B B B B B B A
B B A A A A B A B B B A A A B B A B B B B B B A
A A A A B B A B B B A B A A A A B A B B B B A B
B A B A B B A B B A A A A B A B A A A B B A A A
A A B A B B A B B A A B B A B A B B B B B B B A
B B A A B B A B B B B A A A A A B A A A A A B A
B B B A A A B A B A B A B B A A B B A A A B B B
A B B A A B A A B A B B B B A A A B A B A B B B
A A A A A A B A B B A B A A A B B B B A B A B A
A A A B B B A B A B A B B A A B A B B A A A B A
A B A B A B A A A B B B A A A B A A A A A A B B
B A B B A B A A A A A A B B A B A A A B B A A B
A A B A B B A B B A A B B B B B A B A B B A B B
B A B A B A B B B A A A A B A A B A B A A B B A
A B B B B A B B A A B B A B B B A A A B B B A A
A B B A A B A A B A B B B A A B B B B B A A B A
A A B A B B B A A B B A B A B B A A A B B B B B
B B A A B A B B B B B A A A B B B A B B A A A B
B B B A B A A A A B A B B A A B B B B A B A B B
A B B B B A A A B B A A A A B A B A A A A B B A
A A B A A A B A B A A B B A A A B B A B B B A A
A B B B A A A B B B A A A A A A A B B B A A B A
B B B B A B B B B B A B B B B B B A A A B B A B
B B B A B B A B B A B A B A A A B B A B B B A A
A B A A B A A A A A A A B B A B A B B B B A A B
A B B A B B B A A B A A A B B A A A A B A B A A
B A B B A A B A A A A A A A B B B A B B A A A B
A A A B B B B A B A B A A B A A B B B A A A A A
A A B A B B B B B B B B B A B B A A B B B A A B
B B A A B A A A A A A B A A B B B B B A B B B A
B B B A B B A A A A B B B A A B A A A A A A B A
A B B B A B A B B A B A A A B B B A A B A B B B
A A B B A B B B B B B A B A B B B A A A B B B B
A B A A B A A B B A A B A B A B A A B B B B B A
B A B B A B B A A B B A A A A B B A B A B B A A
A A B B A B B B B B B A A A A A B B B A A A B A
B A A A B A B A A B A B A B B B A A A A A B A B
A A A B A A B B B B A A B B A B B A A B A A A A
B B A A B A A A A A A B B A A A B A A A A A B B
B B A B A A A A A A A A B B B B B A B A B A B B
A A B B A A A B B B B A B A B B A B A A A A A A
B B B B B A B B A A B A A A B B A A B A A A A B
B A B B B B B A B B B B B A A A A B A A B B A A
B A A B B A A A B A B B A A A A A A B A B B A B
B A B A A B A A B A A A B B B B B B A B A A B A
B B A B B A A A B A A B B A A A A B A A B B A A
A B A B B B B A B A A A B B A A B B A B B B B A
A B B A B A B B B A B B A B A A B A B B B B B B
B A B A B A A A A B B B A B A A B A B B B B B B
A A B B B A A A B B B A B B A A B B A B B B B A
B A A A A A B A B B A A B A A A A B A A B B A A
A A A A A A A B A A B A B B B B B B A B A A B A
A A B B A A B A A A A B
|
Posted by Charlie
on 2007-08-08 11:59:50 |