1 — Subtraction Games

Let S be a set of pos­i­tive inte­gers. The sub­trac­tion game with sub­trac­tion set S is played as fol­lows. From a pile with a large num­ber, say n, of chips, two play­ers alter­nate moves.  A move con­sists of remov­ing s chips from the pile where s ∈S. Last play­er to move wins.

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