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cathysilvestro
cathysilvestro
11.03.2020 • 
Mathematics

Mathematical Chunks of Sentient Protoplasm (MCSPs, for short) are smart blobs who dream of merging together into one huge blob. But they can only do it following certain rules: If two MCSPs have the same mass, or if their masses are 1 apart, they can merge into a single MCSP, whose mass will be the sum of the original two. If an MCSP has even mass, it can split into two MCSPs, each with half the original mass. Suppose we start with n MCSPs, with masses 1 through n. For what values of n is there a finite sequence of steps that will allow all n MCSPs to merge together into a single MCSP and achieve their dream of unity?

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