okay I'll whip together a diagram but for now use this.
KEY:
0=piece lit or unlit
-=break
|=break
000000
000000
000000
000000
000000
000000
if someone picked rows it would be split up as follows:
000000
000000
------
000000
000000
------
000000
000000
you could then move the pieces around in a jigsaw puzzle style until you were satisfied.
then you could
a) split the pieces up in a different way(such as columns)
b) go to the lights out main interface and continue with just one click to light them all up.
also, if you haven't figured it out by now if they chose columns the breaks would be
00|00|00
00|00|00
00|00|00
00|00|00
00|00|00
00|00|00
does that make sense? No? good...
anyway, maybe I won't put together a diagram if that explains it.