Abstract
We define the Symmetric Ice Pile ModelSIPMk(n), a generalization of the Ice Pile ModelIPMk(n), and we show an efficient algorithm for generating the symmetric ice piles with n grains. More precisely, we show how to exploit an existing algorithm for generating IPMk(n) in order to generate SIPMk(n) in amortized time O(1) and in space O(kn).
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