Question: question shows below: Problem 1. Consider the following subtraction game: There is a pile of coins. If the number of coins in the pile is

question shows below:

Problem 1. Consider the following subtraction game: There is a pile of coins. If the number of coins in the pile is even, you are allowed to take 1 or 2 coins. If the number is odd, you are allowed to take 1, 2, or 3 coins. Find the SpragueGrundy value g(n) for a pile of size n

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