Counting Candy Crush configurations
نویسندگان
چکیده
A k-stable c-coloured Candy Crush grid is a weak proper c-colouring of particular type k-uniform hypergraph. In this paper we introduce fully polynomial randomised approximation scheme (FPRAS) which counts the number grids given size (m,n) for certain values c and k. We implemented algorithm on Matlab, found that in with 7 available colours there are approximately 4.3×1061 3-stable colourings. (Note that, typical games played 6 our FPRAS not guaranteed to work expected time k=3 c=6.) also discuss applicability problem counting c-colourings other, more general hypergraphs.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2021
ISSN: ['1872-6771', '0166-218X']
DOI: https://doi.org/10.1016/j.dam.2021.02.013