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MathNet 2020 — Math Olympiad Vault — Part 05 Question 81

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05

Question 81

A T-tetromino is formed by adjoining three unit squares to form a $1 \times 3$ rectangle, and adjoining on top of the middle square a fourth unit square. Determine the minimum number of unit squares that must be removed from a $202 \times 202$ grid so that it can be tiled with T-tetrominoes.