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2016 Latvia National Olympiad 3rd Round Grade9Problem3

Source:

July 22, 2016
combinatorics

Problem Statement

Is it possible to insert numbers 1,…,161, \ldots, 16 into a table 4×44 \times 4 (each cell should have a different number) so that every two adjacent cells (i.e. cells sharing a common side) have numbers aa and bb satisfying\\ (a) ∣a−b∣≥6|a-b| \geq 6\\ (b) ∣a−b∣≥7|a-b| \geq 7
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