We define the Symmetric Ice Pile Model SIPMk(n), a generalization of the Ice Pile Model IPMk(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).
An efficient algorithm for generating symmetric ice piles
MASSAZZA, PAOLO
;
2016-01-01
Abstract
We define the Symmetric Ice Pile Model SIPMk(n), a generalization of the Ice Pile Model IPMk(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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