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then you would rather be Player 1:
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it has a first mover advantage.
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But if the initial position has even numbers in the piles
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then you'd rather be Player 2. Is that right?
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Because if you start off with an even correction: number in each pile,
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the person moving first is going to make them unequal,
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and thereafter the next person's in a winning position.
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So I want us to notice two things from this game.
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First notice in this game
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that from any initial position we can very quickly tell
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who is going to win and who is going to lose,
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assuming they play well. Three things actually.