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bw numbers 1- N - All-Russian MO 2000 Regional (R4) 11.7

Source:

September 26, 2024
combinatoricsColoring

Problem Statement

Given numbers 1,2,...,N1, 2, . . .,N, each of which is colored either black or white. It is allowed to repaint it in the opposite direction color any three numbers, one of which is equal to half the sum of the other two. At which NN numbers can always be made white?
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