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	The '''nimbers''', also known as '''Grundy''' numbers, are the values of the heaps in the game of [https://en.wikipedia.org/wiki/Nim Nim]. They have '''addition''' and '''multiplication''' operations, unrelated to the addition and multiplication of the integers. Both operations are defined recursively:		The '''nimbers''', also known as '''Grundy''' numbers, are the values of the heaps in the game of [https://en.wikipedia.org/wiki/Nim Nim]. They have '''addition''' and '''multiplication''' operations, unrelated to the addition and multiplication of the integers. Both operations are defined recursively: