The maximum number of real games in the classical ensemble is 27.
Find a series of moves that yields 27 real games.
(Hint: it requires precisely six moves.)
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See the figure
in the PDF file for one solution. Play has resulted in one
large entanglement consisting of a two-move cycle (moves 1 and
9 shown in green) with the rest of the moves as stems (in red).
Depending on the choice of the collapse, X gets either 1-1/2 points
or 2 points. X9 must end up in the square common to both 3-rows
(square 5 in this example) in order to get 2 points.