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2023 BIMC keystage3-IWYMIC individual Question 10

xIMC · 2023 BIMC keystage3-IWYMIC individual

Question 10

A V-Tromino is made up of three $1\times1$ squares, as diagrams shown below:

Question illustration

All the V-Trominos must be aligned with the board cells. What is the minimum number of the V-Trominos needed to be placed on an $8\times8$ board so that one cannot fit a $2\times2$ square in the remaining space?