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1-8 at vertices of regular octagon - 2017 Ecuador Juniors (OMEC) L2 p4

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October 25, 2022
combinatoricsalgebra

Problem Statement

Indicate whether it is possible to write the integers 1,2,3,4,5,6,7,81, 2, 3, 4, 5, 6, 7, 8 at the vertices of an regular octagon such that the sum of the numbers of any 33 consecutive vertices is greater than: a) 1111. b) 1313.