TR-MO-R1 2022 Problem 28

$11 \times 11$ satranç tahtasının birim karelerinden oluşan $n$ tane $2 \times 2$ karenin herhangi ikisinin en fazla bir ortak birim karesi varsa, $n$ en fazla kaç olabilir?

a) $44$ b) $46$ c) $48$ d) $50$ e) $52$

Official text Turkish Mathematical Olympiad, first round 2022 official paper, page 15. Quoted with source.

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