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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 (dead link).

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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.2011-06-05
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    The page is long gone, but you can see there were some problems there at https://web.archive.org/web/20120322195729/http://www.mathalon.in/?page=problems.php and the first of which was referenced in http://math.stackexchange.com/questions/20989/finding-four-numbers2016-04-17

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