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There are N egg baskets and the number of eggs in each
basket is a known quantity. Two players take turns to remove
these eggs from the baskets. On each turn, a player must
remove at least one egg, and may remove any number of eggs
provided they all belong to the same basket. The player
picking the last egg(s) wins the game. If you are allowed to
decide who is going to start first, what mathematical
function would you use to decide so that you end up on the
winning side?
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