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Part of 2020 Philippine MO

Problems(1)

Tantalizing T-tetromino tiling

Source: Philippine Mathematical Olympiad 2020/1

1/19/2020
A T-tetromino is formed by adjoining three unit squares to form a 1×31 \times 3 rectangle, and adjoining on top of the middle square a fourth unit square. Determine the least number of unit squares that must be removed from a 202×202202 \times 202 grid so that it can be tiled using T-tetrominoes.
PMOcombinatorics