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The plane is split into dominoes

Source: Kvant Magazine No. 8 2023 M2760

January 9, 2024
combinatoricsdominoes

Problem Statement

The checkered plane is divided into dominoes. What is the maximum kk{} for which it is always possible to choose a 100×100100\times 100 checkered square containing at least kk{} whole dominoes?
Proposed by S. Berlov
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