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2024 IMC keystage3-IWYMIC team Question 8

xIMC · 2024 IMC keystage3-IWYMIC team

Question 8

A subsquare is a square of any size bounded by grid lines. An $m\times n$ grid has exactly 2024 subsquares. Find the smallest possible value of $mn$.

For example, a $2\times2$ grid has five subsquares: four of side 1 and one of side 2.

Question illustration