5. How to arrange 12 ones and 52 zeros in the cells of an $8 \times 8$ board so that the sum of the numbers in any $2 \times 3$ rectangle is positive.
5. Answer: possible.

An example is provided in the figure.

In the empty cells, there are zeros.

Evaluation criteria:

Correct example provided: 7 points.

Only the correct answer is provided without justifications.

![](https://cdn.mathpix.com/cropped/2024_05_06_aa0782c45845c2aa446fg-2.jpg?height=458&width=446&top_left_y=1019&top_left_x=815)