???? If I took a set of game positions, generated by flipping a coin, and 
generated a histogram of

x = black_stones - white_stones

I would expect to see the distribution of x looking like a nice Gaussian, 
centered at zero. If I looked at positions generated by playing out moves, I 
would expect to see *much* more weight in the tails and the center at a 
positive value between zero and true Komi. Removing illegal positions from the 
coin flip set might change the distribution in ways that would be easy to 
measure and rash to predict.

???? When I look at statistics such as this for real games, I?generally see 
measurable differences between strong and weak players.

- Dave Hillis


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