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nubmers 1-10 in a row - All-Russian MO 2001 Regional (R4) 8.1

Source:

September 25, 2024
algebra

Problem Statement

Is it possible to have numbers 1,2,...,101, 2,..., 10 put in a row in some order so that each of them, starting from the second, differs from the previous one by a whole number of percent?
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