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Lin Jumper

Author: mathforces
Problem has been solved: 14 times

Русский язык | English Language



Lin is jumping on a segment $[0, 2^{10}-1]$ of the real line. It starts at $ 0 $ and visits only the whole numbers of the segment, and visits each of them no more than once. It turned out that the lengths of all his jumps are powers of two ($\{ 2^0, 2^1, 2^2, ...\}$). What is the maximum possible total distance traveled by Lin? P.S. Lin can jump both to the right and left.

Lin Jumper




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