Funny thing, I also just thought about this as a friend of mine had an idea similiar to Dave's. I guess it might be a good idea to make your zone-partitioning (or zone-merging, when you start from 1x1-boards) dependant of the current board configuration. That is, some clever algorithm (probably another kind of MC) might judge the "interdependencies" over the board graph and decide what is better dealt with together and what might be looked at alone.

Of course, everything depends on how you can deal with the boarders - how about some monte-carlo-simulations over the possible boarder-configurations?
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