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Mathematics, 11.02.2021 21:30 meowmeowcow
Consider the following impartial combinatorial game. Two boxes each contain a nonzero number of chips. Two player alternate turns. A turn consists of a player choosing a box and emptying it, removing 0 or 1 chip from pile in the other box, then dividing the remaining chips so that both boxes again have a nonzero number of chips. Thus, (1,1) is the only terminal position.
Required:
Show that (x, y) is a P-position if and only if x mod 3 = 1 and y mod 3 = 1.
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Consider the following impartial combinatorial game. Two boxes each contain a nonzero number of chip...
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