Zeroes are written in all cells of a $5 \times 5$ board. We can take an arbitrary cell and increase by 1 the number in this cell and all cells having a common side with it. Is it possible to obtain the number 2020 in all cells simultaneously?
In each cell of a $5 \times 5$ board is $0$. Increase by $1$ the number in the cell and all neighbours. Is it possible to obtain 2020 in each cell?
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