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Help needed in understanding S-Grundy Number , any good tutorial.

I am trying to solve Mathalon Problem 146 S-Grundy Game

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Look up "Sprague-Grundy" on google. What worked for me was attending a course with Aviezri Fraenkel, but your mileage may differ. –  Yuval Filmus Jun 5 '11 at 0:19
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