# Task № 8.4

## Condition:

A board of size $2022 \times 2022$ is given. Egor and Matvey take turns coloring $2 \times 2$ squares on it red and yellow, with the sides of the squares aligned with the grid lines. The boys agreed that each cell can be painted no more than once in blue and no more than once in red. Cells that are painted yellow and then red (or vice versa) become orange. Once all cells are painted, the boys counted how many of them are orange. What options could they have gotten?

## Answer options:

○ $2022 \cdot 2021$

○ $2022 \cdot 2020$

○ $2021 \cdot 2020$

○ $2022 \cdot 2022$

## Correct answers:

○ $2022 \cdot 2020$

○ $2021 \cdot 2020$

Exact match of the answer - 1 point
Solution by analogy with task №8.1