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Sprague–Grundy theorem
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===={{anchor|secondExample}}Example Game 2==== {{Pre| Sizes of heaps Moves A' B' C' 1 1 1 Alice takes 1 from A' 0 1 1 Bob takes one from B' 0 0 1 Alice takes one from C' 0 0 0 Bob has no moves, so Alice wins. }} We can combine it with our [[#firstExample|first example]] to get a combined game with six heaps: <math>A</math>, <math>B</math>, <math>C</math>, <math>A'</math>, <math>B'</math>, and <math>C'</math>:
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