Consider a 3x3 array of lighted buttons:
[O][O][O]
[O][O][O]
[O][O][O]
If any one of these buttons is pressed, it and all of its directly adjacent neighbors will toggle their status on/off. (Diagonals do not change.)
The goal is to get all of the lights to be off. Which buttons must be pressed to accomplish this?
Which buttons would accomplish this goal in the minimum number of presses for 4x4, 5x5, 6x6, 7x7, 8x8, and 9x9 arrays?
A nice site with the game from 3 x 3 up to 8 x 8 is here.
(In reply to
re: computer solution by Jer)
I've placed below the minimal solutions for 10x10 to 17x17 arrays. Eliminating trivial variations is more complicated than your suggestion. In the 10x10 below the first and last lines are palindromic and the same, so would be eliminated under the proposed rule. Also even if they weren't the same, a reversal is a reversal in both directions, so both of them would be eliminated. Presumably this would be a rotation, so you'd still have the 90-degree rotations remaining, but of course that would be a failure to remove all trivial variations anyway.
Of course there would be other ways to get an elimination done for the trivial variations, but inspection is probably easier.
1 0 1 0 0 0 0 1 0 1
0 1 0 0 1 1 0 0 1 0
1 0 1 0 1 1 0 1 0 1
0 0 0 1 0 0 1 0 0 0
0 1 1 0 1 1 0 1 1 0
0 1 1 0 1 1 0 1 1 0
0 0 0 1 0 0 1 0 0 0
1 0 1 0 1 1 0 1 0 1
0 1 0 0 1 1 0 0 1 0
1 0 1 0 0 0 0 1 0 1
44
0 0 1 0 0 1 0 0 0 0 0
1 0 0 0 0 0 0 1 1 1 1
0 0 0 1 1 0 0 1 0 0 1
0 1 0 1 1 0 0 1 1 1 1
0 0 1 0 0 0 0 0 0 0 0
1 1 0 1 0 1 1 0 0 0 0
1 1 0 0 1 1 1 0 1 1 1
0 0 0 1 1 1 0 1 1 0 1
0 0 0 1 1 0 0 1 0 0 1
1 1 0 0 0 1 0 1 1 0 1
1 1 0 0 1 0 1 0 1 1 1
55
1 0 0 1 1 1 0 1 0 0 0
0 0 0 1 0 1 1 0 0 1 1
0 1 0 1 0 0 1 1 0 1 1
0 0 1 1 0 1 0 1 1 0 0
1 1 1 0 1 0 0 0 1 1 0
1 0 0 0 0 1 1 1 0 1 0
1 1 0 1 1 1 0 1 0 1 0
0 1 1 1 0 0 0 1 1 1 0
1 0 0 0 1 0 0 0 0 0 0
0 1 0 1 0 0 1 0 0 0 1
1 0 1 0 1 0 0 0 1 0 0
55
1 0 1 0 1 0 0 0 1 0 0
0 1 0 1 0 0 1 0 0 0 1
1 0 0 0 1 0 0 0 0 0 0
0 1 1 1 0 0 0 1 1 1 0
1 1 0 1 1 1 0 1 0 1 0
1 0 0 0 0 1 1 1 0 1 0
1 1 1 0 1 0 0 0 1 1 0
0 0 1 1 0 1 0 1 1 0 0
0 1 0 1 0 0 1 1 0 1 1
0 0 0 1 0 1 1 0 0 1 1
1 0 0 1 1 1 0 1 0 0 0
55
0 0 0 0 0 1 0 0 1 0 0
1 1 1 1 0 0 0 0 0 0 1
1 0 0 1 0 0 1 1 0 0 0
1 1 1 1 0 0 1 1 0 1 0
0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 1 1 0 1 0 1 1
1 1 1 0 1 1 1 0 0 1 1
1 0 1 1 0 1 1 1 0 0 0
1 0 0 1 0 0 1 1 0 0 0
1 0 1 1 0 1 0 0 0 1 1
1 1 1 0 1 0 1 0 0 1 1
55
1 0 1 0 0 1 1 0 1 0 0
0 1 0 0 0 1 1 1 0 0 1
1 0 1 1 0 0 1 1 1 0 0
0 0 1 1 0 1 0 1 1 0 0
0 0 0 0 1 0 0 0 0 0 1
1 1 0 1 0 1 1 0 0 0 0
1 1 1 0 0 1 1 0 1 1 0
0 1 1 1 0 0 0 1 1 1 0
1 0 1 1 0 0 1 1 1 0 0
0 0 0 0 0 0 1 1 0 1 1
0 1 0 0 1 0 0 0 0 1 1
55
0 1 1 0 0 0 0 0 0 1 0
0 1 1 0 1 1 1 1 0 0 0
0 0 0 1 1 0 0 1 0 0 1
1 0 1 1 0 1 1 1 0 0 0
0 1 1 0 0 1 0 0 0 1 0
1 1 0 1 0 1 1 0 0 0 0
1 0 0 0 1 0 1 0 1 0 1
1 1 1 1 0 0 1 1 0 1 0
0 0 0 1 1 0 0 1 0 0 1
0 0 1 0 1 0 1 1 0 1 0
1 0 0 0 1 1 1 0 1 0 1
55
1 1 0 0 1 1 0 0 0 1 0
1 1 0 0 1 1 0 1 0 0 0
0 0 0 0 0 0 1 0 0 0 1
0 0 1 1 0 1 0 1 1 0 0
1 0 1 1 1 0 0 1 1 0 0
0 1 0 1 1 1 0 0 0 0 1
1 0 0 0 1 1 0 0 0 0 0
0 1 1 1 0 0 0 1 1 1 0
1 1 0 1 1 0 0 1 0 1 0
1 0 0 0 1 0 0 1 0 1 0
1 1 1 1 1 0 0 1 1 1 0
55
1 1 0 0 0 0 1 0 0 1 0
1 1 0 1 1 0 0 0 0 0 0
0 0 1 1 1 0 0 1 1 0 1
0 1 1 1 0 0 0 1 1 1 0
0 1 1 0 1 1 0 0 1 1 1
0 0 0 0 1 1 0 1 0 1 1
1 0 0 0 0 0 1 0 0 0 0
0 0 1 1 0 1 0 1 1 0 0
0 0 1 1 1 0 0 1 1 0 1
1 0 0 1 1 1 0 0 0 1 0
0 0 1 0 1 1 0 0 1 0 1
55
0 1 0 0 0 0 0 0 1 1 0
0 0 0 1 1 1 1 0 1 1 0
1 0 0 1 0 0 1 1 0 0 0
0 0 0 1 1 1 0 1 1 0 1
0 1 0 0 0 1 0 0 1 1 0
0 0 0 0 1 1 0 1 0 1 1
1 0 1 0 1 0 1 0 0 0 1
0 1 0 1 1 0 0 1 1 1 1
1 0 0 1 0 0 1 1 0 0 0
0 1 0 1 1 0 1 0 1 0 0
1 0 1 0 1 1 1 0 0 0 1
55
1 1 1 1 1 0 0 1 1 1 0
1 0 0 0 1 0 0 1 0 1 0
1 1 0 1 1 0 0 1 0 1 0
0 1 1 1 0 0 0 1 1 1 0
1 0 0 0 1 1 0 0 0 0 0
0 1 0 1 1 1 0 0 0 0 1
1 0 1 1 1 0 0 1 1 0 0
0 0 1 1 0 1 0 1 1 0 0
0 0 0 0 0 0 1 0 0 0 1
1 1 0 0 1 1 0 1 0 0 0
1 1 0 0 1 1 0 0 0 1 0
55
1 0 1 0 1 1 1 0 0 0 1
0 1 0 1 1 0 1 0 1 0 0
1 0 0 1 0 0 1 1 0 0 0
0 1 0 1 1 0 0 1 1 1 1
1 0 1 0 1 0 1 0 0 0 1
0 0 0 0 1 1 0 1 0 1 1
0 1 0 0 0 1 0 0 1 1 0
0 0 0 1 1 1 0 1 1 0 1
1 0 0 1 0 0 1 1 0 0 0
0 0 0 1 1 1 1 0 1 1 0
0 1 0 0 0 0 0 0 1 1 0
55
0 0 0 1 0 1 1 1 0 0 1
1 1 0 0 1 1 0 1 0 0 0
1 1 0 1 1 0 0 1 0 1 0
0 0 1 1 0 1 0 1 1 0 0
0 1 1 0 0 0 1 0 1 1 1
0 1 0 1 1 1 0 0 0 0 1
0 1 0 1 0 1 1 1 0 1 1
0 1 1 1 0 0 0 1 1 1 0
0 0 0 0 0 0 1 0 0 0 1
1 0 0 0 1 0 0 1 0 1 0
0 0 1 0 0 0 1 0 1 0 1
55
0 0 1 0 1 1 0 0 1 0 1
1 0 0 1 1 1 0 0 0 1 0
0 0 1 1 1 0 0 1 1 0 1
0 0 1 1 0 1 0 1 1 0 0
1 0 0 0 0 0 1 0 0 0 0
0 0 0 0 1 1 0 1 0 1 1
0 1 1 0 1 1 0 0 1 1 1
0 1 1 1 0 0 0 1 1 1 0
0 0 1 1 1 0 0 1 1 0 1
1 1 0 1 1 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 1 0
55
0 0 1 0 0 0 1 0 1 0 1
1 0 0 0 1 0 0 1 0 1 0
0 0 0 0 0 0 1 0 0 0 1
0 1 1 1 0 0 0 1 1 1 0
0 1 0 1 0 1 1 1 0 1 1
0 1 0 1 1 1 0 0 0 0 1
0 1 1 0 0 0 1 0 1 1 1
0 0 1 1 0 1 0 1 1 0 0
1 1 0 1 1 0 0 1 0 1 0
1 1 0 0 1 1 0 1 0 0 0
0 0 0 1 0 1 1 1 0 0 1
55
1 0 0 0 1 1 1 0 1 0 1
0 0 1 0 1 0 1 1 0 1 0
0 0 0 1 1 0 0 1 0 0 1
1 1 1 1 0 0 1 1 0 1 0
1 0 0 0 1 0 1 0 1 0 1
1 1 0 1 0 1 1 0 0 0 0
0 1 1 0 0 1 0 0 0 1 0
1 0 1 1 0 1 1 1 0 0 0
0 0 0 1 1 0 0 1 0 0 1
0 1 1 0 1 1 1 1 0 0 0
0 1 1 0 0 0 0 0 0 1 0
55
0 1 0 0 1 0 0 0 0 1 1
0 0 0 0 0 0 1 1 0 1 1
1 0 1 1 0 0 1 1 1 0 0
0 1 1 1 0 0 0 1 1 1 0
1 1 1 0 0 1 1 0 1 1 0
1 1 0 1 0 1 1 0 0 0 0
0 0 0 0 1 0 0 0 0 0 1
0 0 1 1 0 1 0 1 1 0 0
1 0 1 1 0 0 1 1 1 0 0
0 1 0 0 0 1 1 1 0 0 1
1 0 1 0 0 1 1 0 1 0 0
55
1 1 1 0 1 0 1 0 0 1 1
1 0 1 1 0 1 0 0 0 1 1
1 0 0 1 0 0 1 1 0 0 0
1 0 1 1 0 1 1 1 0 0 0
1 1 1 0 1 1 1 0 0 1 1
0 0 0 0 1 1 0 1 0 1 1
0 0 0 0 0 0 0 0 1 0 0
1 1 1 1 0 0 1 1 0 1 0
1 0 0 1 0 0 1 1 0 0 0
1 1 1 1 0 0 0 0 0 0 1
0 0 0 0 0 1 0 0 1 0 0
55
0 1 0 0 0 1 1 0 0 1 1
0 0 0 1 0 1 1 0 0 1 1
1 0 0 0 1 0 0 0 0 0 0
0 0 1 1 0 1 0 1 1 0 0
0 0 1 1 0 0 1 1 1 0 1
1 0 0 0 0 1 1 1 0 1 0
0 0 0 0 0 1 1 0 0 0 1
0 1 1 1 0 0 0 1 1 1 0
0 1 0 1 0 0 1 1 0 1 1
0 1 0 1 0 0 1 0 0 0 1
0 1 1 1 0 0 1 1 1 1 1
55
1 1 0 0 1 0 1 0 1 1 1
1 1 0 0 0 1 0 1 1 0 1
0 0 0 1 1 0 0 1 0 0 1
0 0 0 1 1 1 0 1 1 0 1
1 1 0 0 1 1 1 0 1 1 1
1 1 0 1 0 1 1 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0
0 1 0 1 1 0 0 1 1 1 1
0 0 0 1 1 0 0 1 0 0 1
1 0 0 0 0 0 0 1 1 1 1
0 0 1 0 0 1 0 0 0 0 0
55
0 1 1 1 0 0 1 1 1 1 1
0 1 0 1 0 0 1 0 0 0 1
0 1 0 1 0 0 1 1 0 1 1
0 1 1 1 0 0 0 1 1 1 0
0 0 0 0 0 1 1 0 0 0 1
1 0 0 0 0 1 1 1 0 1 0
0 0 1 1 0 0 1 1 1 0 1
0 0 1 1 0 1 0 1 1 0 0
1 0 0 0 1 0 0 0 0 0 0
0 0 0 1 0 1 1 0 0 1 1
0 1 0 0 0 1 1 0 0 1 1
55
1 0 1 0 0 0 0 0 0 1 0 1
0 1 0 0 1 1 1 1 0 0 1 0
1 0 1 0 1 0 0 1 0 1 0 1
0 0 0 1 1 1 1 1 1 0 0 0
0 1 1 1 1 0 0 1 1 1 1 0
0 1 0 1 0 1 1 0 1 0 1 0
0 1 0 1 0 1 1 0 1 0 1 0
0 1 1 1 1 0 0 1 1 1 1 0
0 0 0 1 1 1 1 1 1 0 0 0
1 0 1 0 1 0 0 1 0 1 0 1
0 1 0 0 1 1 1 1 0 0 1 0
1 0 1 0 0 0 0 0 0 1 0 1
72
1 1 0 1 0 1 1 1 0 1 0 1 1
1 1 1 0 1 1 0 1 1 0 1 1 1
0 1 1 0 1 0 0 0 1 0 1 1 0
1 0 0 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 0 0 0 1 1 1 1 0
1 1 0 1 0 1 0 1 0 1 0 1 1
1 0 0 1 0 0 1 0 0 1 0 0 1
1 1 0 1 0 1 0 1 0 1 0 1 1
0 1 1 1 1 0 0 0 1 1 1 1 0
1 0 0 1 1 1 1 1 1 1 0 0 1
0 1 1 0 1 0 0 0 1 0 1 1 0
1 1 1 0 1 1 0 1 1 0 1 1 1
1 1 0 1 0 1 1 1 0 1 0 1 1
105
0 1 0 1 0 0 0 1 0 0 1 1 0 0
0 0 1 0 0 1 0 0 0 0 1 1 0 1
1 1 0 1 0 0 0 0 1 0 0 0 1 0
1 1 0 0 0 0 1 0 0 0 0 1 0 1
0 0 0 0 1 0 0 0 0 1 0 0 0 0
0 0 1 0 0 0 0 1 0 0 0 0 1 0
1 0 0 0 0 1 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 1 0 0 0 0 1
0 1 0 0 0 0 1 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0 0 1 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 1 1
0 1 0 0 0 1 0 0 0 0 1 0 1 1
1 0 1 1 0 0 0 0 1 0 0 1 0 0
0 0 1 1 0 0 1 0 0 0 1 0 1 0
56
0 0 1 1 0 0 1 0 0 0 1 0 1 0
1 0 1 1 0 0 0 0 1 0 0 1 0 0
0 1 0 0 0 1 0 0 0 0 1 0 1 1
1 0 1 0 0 0 0 1 0 0 0 0 1 1
0 0 0 0 1 0 0 0 0 1 0 0 0 0
0 1 0 0 0 0 1 0 0 0 0 1 0 0
0 0 0 1 0 0 0 0 1 0 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0
0 0 1 0 0 0 0 1 0 0 0 0 1 0
0 0 0 0 1 0 0 0 0 1 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 1 0 1
1 1 0 1 0 0 0 0 1 0 0 0 1 0
0 0 1 0 0 1 0 0 0 0 1 1 0 1
0 1 0 1 0 0 0 1 0 0 1 1 0 0
56
1 0 1 1 0 0 1 0 1 0 0 1 1 0 1
0 1 1 1 0 0 0 1 0 0 0 1 1 1 0
1 1 1 0 0 1 1 0 1 1 0 0 1 1 1
1 1 0 1 0 1 1 0 1 1 0 1 0 1 1
0 0 0 0 1 0 0 1 0 0 1 0 0 0 0
0 0 1 1 0 1 1 0 1 1 0 1 1 0 0
1 0 1 1 0 1 1 0 1 1 0 1 1 0 1
0 1 0 0 1 0 0 1 0 0 1 0 0 1 0
1 0 1 1 0 1 1 0 1 1 0 1 1 0 1
0 0 1 1 0 1 1 0 1 1 0 1 1 0 0
0 0 0 0 1 0 0 1 0 0 1 0 0 0 0
1 1 0 1 0 1 1 0 1 1 0 1 0 1 1
1 1 1 0 0 1 1 0 1 1 0 0 1 1 1
0 1 1 1 0 0 0 1 0 0 0 1 1 1 0
1 0 1 1 0 0 1 0 1 0 0 1 1 0 1
117
1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1
1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0
0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1
0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0
0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0
1 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0
0 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0
0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1
1 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0
0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0
0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1
0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 0
0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0
1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 0
0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1
1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1
104
1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1
0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1
1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 0
0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0
0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 0
0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1
0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0
1 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0
0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1
0 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0
1 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0
0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0
0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0
0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1
1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0
1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1
104
1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0
1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1
0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1
0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0
0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0
0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0
0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1
1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0
1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1
0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1
0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0
0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1
147
1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0
0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0
1 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0
1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1
0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 1 1
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0
1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1
1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0
0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0
0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0
0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0
1 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0
1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1
0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1
147
0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1
0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0
0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1
1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1
1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1
1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1
0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0
1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1
0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0
0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1
1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1
1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0
147
0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1
1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1
1 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0
0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0
1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1
0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0
1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0
1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1
1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0
0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 1 1
1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1
1 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0
0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0
1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0
147
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Posted by Charlie
on 2009-06-04 13:13:29 |