Sprague-Grundy Theorem and Game of Kayle

algorithm
mathematical-algorithm
game-theory
sprague-grundy-theorem
game-of-kayle

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Before we get to know what is Sprague-Grundy Theorem, we need to understand the significance of Sprague-Grundy functions. As we will see further, impartial games can be converted from games to graphs. I am going to provide one such visualisation example based on the fundamentals of Nim and later on extend the application to the Kayle's game, elaborating as much as possible and wherever possible.

Read this article to understand the intuition behind Sprague Grundy Theorem

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This is a companion discussion topic for the original entry at http://iq.opengenus.org/sprague-grundy-theorem-game-of-kayle/