The MEGA-cake problem
نویسنده
چکیده
This question was posed as a challenge problem during the MEGA-conference. The prize, a large cake, was to be divided among the submitters towards a solution of the problem. This explains the name of this article. It turned out that it is not very easy to say something nontrivial about this problem, so the number of submissions to the problem was very small indeed, one. The prize winner subsequently made himself very popular among his local neighbourhood by organising a cake party. Let us now turn to the problem. A quick computer test for 1 < k < 100 leads one to believe the following conjecture,
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